nums
listlengths 4
4
| target
int64 10
100
| solution
listlengths 3
3
| optimal_path
stringlengths 282
529
| start_size
int64 4
4
| search_path
stringlengths 505
16.8k
| rating
float64 0
0.99
| search_type
stringclasses 5
values | heuristic
stringclasses 2
values |
|---|---|---|---|---|---|---|---|---|
[
8,
4,
6,
80
] | 76
|
[
"8/4=2",
"80-6=74",
"2+74=76"
] |
Current State: 76:[8, 4, 6, 80], Operations: []
Exploring Operation: 8/4=2, Resulting Numbers: [6, 80, 2]
Generated Node #2: [6, 80, 2] from Operation: 8/4=2
Current State: 76:[6, 80, 2], Operations: ['8/4=2']
Exploring Operation: 80-6=74, Resulting Numbers: [2, 74]
Generated Node #3: [2, 74] from Operation: 80-6=74
Current State: 76:[2, 74], Operations: ['8/4=2', '80-6=74']
Exploring Operation: 2+74=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[8, 4, 6, 80], Operations: []
Exploring Operation: 8-6=2, Resulting Numbers: [4, 80, 2]
Generated Node #0,0: 76:[4, 80, 2] Operation: 8-6=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[4, 80, 2], Operations: ['8-6=2']
Exploring Operation: 80-4=76, Resulting Numbers: [2, 76]
Generated Node #0,0,0: 76:[2, 76] Operation: 80-4=76
Moving to Node #0,0,0
Current State: 76:[2, 76], Operations: ['8-6=2', '80-4=76']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,76 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,
72,
96,
24
] | 25
|
[
"7*72=504",
"96+504=600",
"600/24=25"
] |
Current State: 25:[7, 72, 96, 24], Operations: []
Exploring Operation: 7*72=504, Resulting Numbers: [96, 24, 504]
Generated Node #2: [96, 24, 504] from Operation: 7*72=504
Current State: 25:[96, 24, 504], Operations: ['7*72=504']
Exploring Operation: 96+504=600, Resulting Numbers: [24, 600]
Generated Node #3: [24, 600] from Operation: 96+504=600
Current State: 25:[24, 600], Operations: ['7*72=504', '96+504=600']
Exploring Operation: 600/24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
Current State: 25:[7, 72, 96, 24], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [7, 72, 4]
Generated Node #0,0: 25:[7, 72, 4] Operation: 96/24=4
Exploring Operation: 96-72=24, Resulting Numbers: [7, 24, 24]
Generated Node #0,1: 25:[7, 24, 24] Operation: 96-72=24
Exploring Operation: 72-24=48, Resulting Numbers: [7, 96, 48]
Generated Node #0,2: 25:[7, 96, 48] Operation: 72-24=48
Exploring Operation: 72/24=3, Resulting Numbers: [7, 96, 3]
Generated Node #0,3: 25:[7, 96, 3] Operation: 72/24=3
Moving to Node #0,1
Current State: 25:[7, 24, 24], Operations: ['96-72=24']
Exploring Operation: 24-24=0, Resulting Numbers: [7, 0]
Generated Node #0,1,0: 25:[7, 0] Operation: 24-24=0
Exploring Operation: 7+24=31, Resulting Numbers: [24, 31]
Generated Node #0,1,1: 25:[24, 31] Operation: 7+24=31
Exploring Operation: 24/24=1, Resulting Numbers: [7, 1]
Generated Node #0,1,2: 25:[7, 1] Operation: 24/24=1
Exploring Operation: 7+24=31, Resulting Numbers: [24, 31]
Generated Node #0,1,3: 25:[24, 31] Operation: 7+24=31
Moving to Node #0,0
Current State: 25:[7, 72, 4], Operations: ['96/24=4']
Exploring Operation: 7-4=3, Resulting Numbers: [72, 3]
Generated Node #0,0,0: 25:[72, 3] Operation: 7-4=3
Exploring Operation: 72-7=65, Resulting Numbers: [4, 65]
Generated Node #0,0,1: 25:[4, 65] Operation: 72-7=65
Exploring Operation: 72-4=68, Resulting Numbers: [7, 68]
Generated Node #0,0,2: 25:[7, 68] Operation: 72-4=68
Exploring Operation: 72/4=18, Resulting Numbers: [7, 18]
Generated Node #0,0,3: 25:[7, 18] Operation: 72/4=18
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[7, 18], Operations: ['96/24=4', '72/4=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Moving to Node #0
Current State: 25:[7, 72, 96, 24], Operations: []
Exploring Operation: 96/24=4, Resulting Numbers: [7, 72, 4]
Generated Node #0,0: 25:[7, 72, 4] Operation: 96/24=4
Moving to Node #0,0
Current State: 25:[7, 72, 4], Operations: ['96/24=4']
Exploring Operation: 72/4=18, Resulting Numbers: [7, 18]
Generated Node #0,0,3: 25:[7, 18] Operation: 72/4=18
Moving to Node #0,0,3
Current State: 25:[7, 18], Operations: ['96/24=4', '72/4=18']
Exploring Operation: 7+18=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_4
|
mult_heuristic
|
[
32,
44,
22,
19
] | 49
|
[
"32+19=51",
"44/22=2",
"51-2=49"
] |
Current State: 49:[32, 44, 22, 19], Operations: []
Exploring Operation: 32+19=51, Resulting Numbers: [44, 22, 51]
Generated Node #2: [44, 22, 51] from Operation: 32+19=51
Current State: 49:[44, 22, 51], Operations: ['32+19=51']
Exploring Operation: 44/22=2, Resulting Numbers: [51, 2]
Generated Node #3: [51, 2] from Operation: 44/22=2
Current State: 49:[51, 2], Operations: ['32+19=51', '44/22=2']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4
|
Current State: 49:[32, 44, 22, 19], Operations: []
Exploring Operation: 32-22=10, Resulting Numbers: [44, 19, 10]
Generated Node #0,0: 49:[44, 19, 10] Operation: 32-22=10
Start Sub Search at level 1: Moving to Node #0,0
Current State: 49:[44, 19, 10], Operations: ['32-22=10']
Exploring Operation: 19-10=9, Resulting Numbers: [44, 9]
Generated Node #0,0,0: 49:[44, 9] Operation: 19-10=9
Moving to Node #0,0,0
Current State: 49:[44, 9], Operations: ['32-22=10', '19-10=9']
Exploring Operation: 44+9=53, Resulting Numbers: [53]
53,49 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
|
[
72,
33,
57,
61
] | 43
|
[
"72-33=39",
"61-57=4",
"39+4=43"
] |
Current State: 43:[72, 33, 57, 61], Operations: []
Exploring Operation: 72-33=39, Resulting Numbers: [57, 61, 39]
Generated Node #2: [57, 61, 39] from Operation: 72-33=39
Current State: 43:[57, 61, 39], Operations: ['72-33=39']
Exploring Operation: 61-57=4, Resulting Numbers: [39, 4]
Generated Node #3: [39, 4] from Operation: 61-57=4
Current State: 43:[39, 4], Operations: ['72-33=39', '61-57=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4
|
Current State: 43:[72, 33, 57, 61], Operations: []
Exploring Operation: 72-33=39, Resulting Numbers: [57, 61, 39]
Generated Node #0,0: 43:[57, 61, 39] Operation: 72-33=39
Exploring Operation: 72-57=15, Resulting Numbers: [33, 61, 15]
Generated Node #0,1: 43:[33, 61, 15] Operation: 72-57=15
Moving to Node #0,0
Current State: 43:[57, 61, 39], Operations: ['72-33=39']
Exploring Operation: 61-39=22, Resulting Numbers: [57, 22]
Generated Node #0,0,0: 43:[57, 22] Operation: 61-39=22
Exploring Operation: 61-57=4, Resulting Numbers: [39, 4]
Generated Node #0,0,1: 43:[39, 4] Operation: 61-57=4
Moving to Node #0,1
Current State: 43:[33, 61, 15], Operations: ['72-57=15']
Exploring Operation: 61-15=46, Resulting Numbers: [33, 46]
Generated Node #0,1,0: 43:[33, 46] Operation: 61-15=46
Exploring Operation: 33+15=48, Resulting Numbers: [61, 48]
Generated Node #0,1,1: 43:[61, 48] Operation: 33+15=48
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 43:[33, 46], Operations: ['72-57=15', '61-15=46']
Exploring Operation: 33+46=79, Resulting Numbers: [79]
79,43 unequal: No Solution
Exploring Operation: 46-33=13, Resulting Numbers: [13]
13,43 unequal: No Solution
No solution 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: 43:[61, 48], Operations: ['72-57=15', '33+15=48']
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,43 unequal: No Solution
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,43 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: 43:[57, 22], Operations: ['72-33=39', '61-39=22']
Exploring Operation: 57+22=79, Resulting Numbers: [79]
79,43 unequal: No Solution
Exploring Operation: 57-22=35, Resulting Numbers: [35]
35,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[39, 4], Operations: ['72-33=39', '61-57=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
Moving to Node #0
Current State: 43:[72, 33, 57, 61], Operations: []
Exploring Operation: 72-33=39, Resulting Numbers: [57, 61, 39]
Generated Node #0,0: 43:[57, 61, 39] Operation: 72-33=39
Moving to Node #0,0
Current State: 43:[57, 61, 39], Operations: ['72-33=39']
Exploring Operation: 61-57=4, Resulting Numbers: [39, 4]
Generated Node #0,0,1: 43:[39, 4] Operation: 61-57=4
Moving to Node #0,0,1
Current State: 43:[39, 4], Operations: ['72-33=39', '61-57=4']
Exploring Operation: 39+4=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 0.985243
|
hs_2
|
sum_heuristic
|
[
21,
56,
76,
54
] | 53
|
[
"21+56=77",
"76+54=130",
"130-77=53"
] |
Current State: 53:[21, 56, 76, 54], Operations: []
Exploring Operation: 21+56=77, Resulting Numbers: [76, 54, 77]
Generated Node #2: [76, 54, 77] from Operation: 21+56=77
Current State: 53:[76, 54, 77], Operations: ['21+56=77']
Exploring Operation: 76+54=130, Resulting Numbers: [77, 130]
Generated Node #3: [77, 130] from Operation: 76+54=130
Current State: 53:[77, 130], Operations: ['21+56=77', '76+54=130']
Exploring Operation: 130-77=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
Current State: 53:[21, 56, 76, 54], Operations: []
Exploring Operation: 54-21=33, Resulting Numbers: [56, 76, 33]
Generated Node #0,0: 53:[56, 76, 33] Operation: 54-21=33
Exploring Operation: 56-21=35, Resulting Numbers: [76, 54, 35]
Generated Node #0,1: 53:[76, 54, 35] Operation: 56-21=35
Exploring Operation: 76-21=55, Resulting Numbers: [56, 54, 55]
Generated Node #0,2: 53:[56, 54, 55] Operation: 76-21=55
Moving to Node #0,2
Current State: 53:[56, 54, 55], Operations: ['76-21=55']
Exploring Operation: 56-55=1, Resulting Numbers: [54, 1]
Generated Node #0,2,0: 53:[54, 1] Operation: 56-55=1
Exploring Operation: 55-54=1, Resulting Numbers: [56, 1]
Generated Node #0,2,1: 53:[56, 1] Operation: 55-54=1
Exploring Operation: 56-54=2, Resulting Numbers: [55, 2]
Generated Node #0,2,2: 53:[55, 2] Operation: 56-54=2
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 53:[54, 1], Operations: ['76-21=55', '56-55=1']
Exploring Operation: 54/1=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 54*1=54, Resulting Numbers: [54]
54,53 unequal: No Solution
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[21, 56, 76, 54], Operations: []
Exploring Operation: 76-21=55, Resulting Numbers: [56, 54, 55]
Generated Node #0,2: 53:[56, 54, 55] Operation: 76-21=55
Moving to Node #0,2
Current State: 53:[56, 54, 55], Operations: ['76-21=55']
Exploring Operation: 56-55=1, Resulting Numbers: [54, 1]
Generated Node #0,2,0: 53:[54, 1] Operation: 56-55=1
Moving to Node #0,2,0
Current State: 53:[54, 1], Operations: ['76-21=55', '56-55=1']
Exploring Operation: 54-1=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.988715
|
hs_3
|
sum_heuristic
|
[
4,
18,
24,
79
] | 29
|
[
"24/4=6",
"18*6=108",
"108-79=29"
] |
Current State: 29:[4, 18, 24, 79], Operations: []
Exploring Operation: 24/4=6, Resulting Numbers: [18, 79, 6]
Generated Node #2: [18, 79, 6] from Operation: 24/4=6
Current State: 29:[18, 79, 6], Operations: ['24/4=6']
Exploring Operation: 18*6=108, Resulting Numbers: [79, 108]
Generated Node #3: [79, 108] from Operation: 18*6=108
Current State: 29:[79, 108], Operations: ['24/4=6', '18*6=108']
Exploring Operation: 108-79=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4
|
Current State: 29:[4, 18, 24, 79], Operations: []
Exploring Operation: 4+18=22, Resulting Numbers: [24, 79, 22]
Generated Node #0,0: 29:[24, 79, 22] Operation: 4+18=22
Exploring Operation: 4+24=28, Resulting Numbers: [18, 79, 28]
Generated Node #0,1: 29:[18, 79, 28] Operation: 4+24=28
Moving to Node #0,0
Current State: 29:[24, 79, 22], Operations: ['4+18=22']
Exploring Operation: 79-22=57, Resulting Numbers: [24, 57]
Generated Node #0,0,0: 29:[24, 57] Operation: 79-22=57
Exploring Operation: 79-24=55, Resulting Numbers: [22, 55]
Generated Node #0,0,1: 29:[22, 55] Operation: 79-24=55
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 29:[24, 57], Operations: ['4+18=22', '79-22=57']
Exploring Operation: 24+57=81, Resulting Numbers: [81]
81,29 unequal: No Solution
Exploring Operation: 57-24=33, Resulting Numbers: [33]
33,29 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 #0,0,1
Current State: 29:[22, 55], Operations: ['4+18=22', '79-24=55']
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,29 unequal: No Solution
Exploring Operation: 22+55=77, Resulting Numbers: [77]
77,29 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: 29:[18, 79, 28], Operations: ['4+24=28']
Exploring Operation: 79-28=51, Resulting Numbers: [18, 51]
Generated Node #0,1,0: 29:[18, 51] Operation: 79-28=51
Exploring Operation: 79-18=61, Resulting Numbers: [28, 61]
Generated Node #0,1,1: 29:[28, 61] Operation: 79-18=61
Moving to Node #0,1,0
Current State: 29:[18, 51], Operations: ['4+24=28', '79-28=51']
Exploring Operation: 51-18=33, Resulting Numbers: [33]
33,29 unequal: No Solution
Exploring Operation: 18+51=69, Resulting Numbers: [69]
69,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[28, 61], Operations: ['4+24=28', '79-18=61']
Exploring Operation: 61-28=33, Resulting Numbers: [33]
33,29 unequal: No Solution
Exploring Operation: 28+61=89, Resulting Numbers: [89]
89,29 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
82,
83,
84,
58
] | 27
|
[
"83-82=1",
"84-58=26",
"1+26=27"
] |
Current State: 27:[82, 83, 84, 58], Operations: []
Exploring Operation: 83-82=1, Resulting Numbers: [84, 58, 1]
Generated Node #2: [84, 58, 1] from Operation: 83-82=1
Current State: 27:[84, 58, 1], Operations: ['83-82=1']
Exploring Operation: 84-58=26, Resulting Numbers: [1, 26]
Generated Node #3: [1, 26] from Operation: 84-58=26
Current State: 27:[1, 26], Operations: ['83-82=1', '84-58=26']
Exploring Operation: 1+26=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4
|
Current State: 27:[82, 83, 84, 58], Operations: []
Exploring Operation: 84-58=26, Resulting Numbers: [82, 83, 26]
Generated Node #0,0: 27:[82, 83, 26] Operation: 84-58=26
Exploring Operation: 83-82=1, Resulting Numbers: [84, 58, 1]
Generated Node #0,1: 27:[84, 58, 1] Operation: 83-82=1
Exploring Operation: 84-83=1, Resulting Numbers: [82, 58, 1]
Generated Node #0,2: 27:[82, 58, 1] Operation: 84-83=1
Exploring Operation: 84-82=2, Resulting Numbers: [83, 58, 2]
Generated Node #0,3: 27:[83, 58, 2] Operation: 84-82=2
Start Sub Search at level 1: Moving to Node #0,2
Current State: 27:[82, 58, 1], Operations: ['84-83=1']
Exploring Operation: 82-1=81, Resulting Numbers: [58, 81]
Generated Node #0,2,0: 27:[58, 81] Operation: 82-1=81
Exploring Operation: 58-1=57, Resulting Numbers: [82, 57]
Generated Node #0,2,1: 27:[82, 57] Operation: 58-1=57
Exploring Operation: 82*1=82, Resulting Numbers: [58, 82]
Generated Node #0,2,2: 27:[58, 82] Operation: 82*1=82
Exploring Operation: 82-58=24, Resulting Numbers: [1, 24]
Generated Node #0,2,3: 27:[1, 24] Operation: 82-58=24
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 27:[1, 24], Operations: ['84-83=1', '82-58=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,27 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,27 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,27 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,27 unequal: No Solution
No 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: 27:[58, 81], Operations: ['84-83=1', '82-1=81']
Exploring Operation: 58*81=4698, Resulting Numbers: [4698]
4698,27 unequal: No Solution
Exploring Operation: 58+81=139, Resulting Numbers: [139]
139,27 unequal: No Solution
Exploring Operation: 81-58=23, Resulting Numbers: [23]
23,27 unequal: No Solution
No 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: 27:[82, 57], Operations: ['84-83=1', '58-1=57']
Exploring Operation: 82-57=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Exploring Operation: 82+57=139, Resulting Numbers: [139]
139,27 unequal: No Solution
Exploring Operation: 82*57=4674, Resulting Numbers: [4674]
4674,27 unequal: No Solution
No 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: 27:[58, 82], Operations: ['84-83=1', '82*1=82']
Exploring Operation: 58+82=140, Resulting Numbers: [140]
140,27 unequal: No Solution
Exploring Operation: 82-58=24, Resulting Numbers: [24]
24,27 unequal: No Solution
Exploring Operation: 58*82=4756, Resulting Numbers: [4756]
4756,27 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 27:[83, 58, 2], Operations: ['84-82=2']
Exploring Operation: 58/2=29, Resulting Numbers: [83, 29]
Generated Node #0,3,0: 27:[83, 29] Operation: 58/2=29
Exploring Operation: 83-2=81, Resulting Numbers: [58, 81]
Generated Node #0,3,1: 27:[58, 81] Operation: 83-2=81
Exploring Operation: 83-58=25, Resulting Numbers: [2, 25]
Generated Node #0,3,2: 27:[2, 25] Operation: 83-58=25
Exploring Operation: 58-2=56, Resulting Numbers: [83, 56]
Generated Node #0,3,3: 27:[83, 56] Operation: 58-2=56
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 27:[2, 25], Operations: ['84-82=2', '83-58=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,27 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,27 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Moving to Node #0
Current State: 27:[82, 83, 84, 58], Operations: []
Exploring Operation: 84-82=2, Resulting Numbers: [83, 58, 2]
Generated Node #0,3: 27:[83, 58, 2] Operation: 84-82=2
Moving to Node #0,3
Current State: 27:[83, 58, 2], Operations: ['84-82=2']
Exploring Operation: 83-58=25, Resulting Numbers: [2, 25]
Generated Node #0,3,2: 27:[2, 25] Operation: 83-58=25
Moving to Node #0,3,2
Current State: 27:[2, 25], Operations: ['84-82=2', '83-58=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.972222
|
hs_4
|
mult_heuristic
|
[
64,
57,
77,
25
] | 75
|
[
"57-25=32",
"64/32=2",
"77-2=75"
] |
Current State: 75:[64, 57, 77, 25], Operations: []
Exploring Operation: 57-25=32, Resulting Numbers: [64, 77, 32]
Generated Node #2: [64, 77, 32] from Operation: 57-25=32
Current State: 75:[64, 77, 32], Operations: ['57-25=32']
Exploring Operation: 64/32=2, Resulting Numbers: [77, 2]
Generated Node #3: [77, 2] from Operation: 64/32=2
Current State: 75:[77, 2], Operations: ['57-25=32', '64/32=2']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4
|
Current State: 75:[64, 57, 77, 25], Operations: []
Exploring Operation: 64-57=7, Resulting Numbers: [77, 25, 7]
Generated Node #0,0: 75:[77, 25, 7] Operation: 64-57=7
Exploring Operation: 77-57=20, Resulting Numbers: [64, 25, 20]
Generated Node #0,1: 75:[64, 25, 20] Operation: 77-57=20
Start Sub Search at level 1: Moving to Node #0,0
Current State: 75:[77, 25, 7], Operations: ['64-57=7']
Exploring Operation: 77-7=70, Resulting Numbers: [25, 70]
Generated Node #0,0,0: 75:[25, 70] Operation: 77-7=70
Exploring Operation: 77/7=11, Resulting Numbers: [25, 11]
Generated Node #0,0,1: 75:[25, 11] Operation: 77/7=11
Moving to Node #0,0,1
Current State: 75:[25, 11], Operations: ['64-57=7', '77/7=11']
Exploring Operation: 25-11=14, Resulting Numbers: [14]
14,75 unequal: No Solution
Exploring Operation: 25+11=36, Resulting Numbers: [36]
36,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[25, 70], Operations: ['64-57=7', '77-7=70']
Exploring Operation: 70-25=45, Resulting Numbers: [45]
45,75 unequal: No Solution
Exploring Operation: 25+70=95, Resulting Numbers: [95]
95,75 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 75:[64, 25, 20], Operations: ['77-57=20']
Exploring Operation: 64+20=84, Resulting Numbers: [25, 84]
Generated Node #0,1,0: 75:[25, 84] Operation: 64+20=84
Exploring Operation: 25-20=5, Resulting Numbers: [64, 5]
Generated Node #0,1,1: 75:[64, 5] Operation: 25-20=5
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 75:[25, 84], Operations: ['77-57=20', '64+20=84']
Exploring Operation: 84-25=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Exploring Operation: 25+84=109, Resulting Numbers: [109]
109,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 75:[64, 5], Operations: ['77-57=20', '25-20=5']
Exploring Operation: 64+5=69, Resulting Numbers: [69]
69,75 unequal: No Solution
Exploring Operation: 64-5=59, Resulting Numbers: [59]
59,75 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
sum_heuristic
|
[
84,
26,
28,
64
] | 41
|
[
"84/28=3",
"64-26=38",
"3+38=41"
] |
Current State: 41:[84, 26, 28, 64], Operations: []
Exploring Operation: 84/28=3, Resulting Numbers: [26, 64, 3]
Generated Node #2: [26, 64, 3] from Operation: 84/28=3
Current State: 41:[26, 64, 3], Operations: ['84/28=3']
Exploring Operation: 64-26=38, Resulting Numbers: [3, 38]
Generated Node #3: [3, 38] from Operation: 64-26=38
Current State: 41:[3, 38], Operations: ['84/28=3', '64-26=38']
Exploring Operation: 3+38=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4
|
Current State: 41:[84, 26, 28, 64], Operations: []
Exploring Operation: 84-26=58, Resulting Numbers: [28, 64, 58]
Generated Node #0,0: 41:[28, 64, 58] Operation: 84-26=58
Exploring Operation: 64-26=38, Resulting Numbers: [84, 28, 38]
Generated Node #0,1: 41:[84, 28, 38] Operation: 64-26=38
Exploring Operation: 84-64=20, Resulting Numbers: [26, 28, 20]
Generated Node #0,2: 41:[26, 28, 20] Operation: 84-64=20
Exploring Operation: 64-28=36, Resulting Numbers: [84, 26, 36]
Generated Node #0,3: 41:[84, 26, 36] Operation: 64-28=36
Exploring Operation: 84-28=56, Resulting Numbers: [26, 64, 56]
Generated Node #0,4: 41:[26, 64, 56] Operation: 84-28=56
Moving to Node #0,2
Current State: 41:[26, 28, 20], Operations: ['84-64=20']
Exploring Operation: 26+20=46, Resulting Numbers: [28, 46]
Generated Node #0,2,0: 41:[28, 46] Operation: 26+20=46
Exploring Operation: 28+20=48, Resulting Numbers: [26, 48]
Generated Node #0,2,1: 41:[26, 48] Operation: 28+20=48
Exploring Operation: 26-20=6, Resulting Numbers: [28, 6]
Generated Node #0,2,2: 41:[28, 6] Operation: 26-20=6
Exploring Operation: 26+28=54, Resulting Numbers: [20, 54]
Generated Node #0,2,3: 41:[20, 54] Operation: 26+28=54
Exploring Operation: 28-20=8, Resulting Numbers: [26, 8]
Generated Node #0,2,4: 41:[26, 8] Operation: 28-20=8
Moving to Node #0,4
Current State: 41:[26, 64, 56], Operations: ['84-28=56']
Exploring Operation: 26+56=82, Resulting Numbers: [64, 82]
Generated Node #0,4,0: 41:[64, 82] Operation: 26+56=82
Exploring Operation: 26+64=90, Resulting Numbers: [56, 90]
Generated Node #0,4,1: 41:[56, 90] Operation: 26+64=90
Exploring Operation: 64-26=38, Resulting Numbers: [56, 38]
Generated Node #0,4,2: 41:[56, 38] Operation: 64-26=38
Exploring Operation: 56-26=30, Resulting Numbers: [64, 30]
Generated Node #0,4,3: 41:[64, 30] Operation: 56-26=30
Exploring Operation: 64-56=8, Resulting Numbers: [26, 8]
Generated Node #0,4,4: 41:[26, 8] Operation: 64-56=8
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 41:[56, 38], Operations: ['84-28=56', '64-26=38']
Exploring Operation: 56*38=2128, Resulting Numbers: [2128]
2128,41 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 56+38=94, Resulting Numbers: [94]
94,41 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 #0,4,3
Current State: 41:[64, 30], Operations: ['84-28=56', '56-26=30']
Exploring Operation: 64*30=1920, Resulting Numbers: [1920]
1920,41 unequal: No Solution
Exploring Operation: 64+30=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,41 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 #0,4,4
Current State: 41:[26, 8], Operations: ['84-28=56', '64-56=8']
Exploring Operation: 26*8=208, Resulting Numbers: [208]
208,41 unequal: No Solution
Exploring Operation: 26+8=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 26-8=18, Resulting Numbers: [18]
18,41 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 #0,4,0
Current State: 41:[64, 82], Operations: ['84-28=56', '26+56=82']
Exploring Operation: 64+82=146, Resulting Numbers: [146]
146,41 unequal: No Solution
Exploring Operation: 64*82=5248, Resulting Numbers: [5248]
5248,41 unequal: No Solution
Exploring Operation: 82-64=18, Resulting Numbers: [18]
18,41 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 #0,4,1
Current State: 41:[56, 90], Operations: ['84-28=56', '26+64=90']
Exploring Operation: 56*90=5040, Resulting Numbers: [5040]
5040,41 unequal: No Solution
Exploring Operation: 56+90=146, Resulting Numbers: [146]
146,41 unequal: No Solution
Exploring Operation: 90-56=34, Resulting Numbers: [34]
34,41 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: 41:[28, 64, 58], Operations: ['84-26=58']
Exploring Operation: 28+64=92, Resulting Numbers: [58, 92]
Generated Node #0,0,0: 41:[58, 92] Operation: 28+64=92
Exploring Operation: 28+58=86, Resulting Numbers: [64, 86]
Generated Node #0,0,1: 41:[64, 86] Operation: 28+58=86
Exploring Operation: 58-28=30, Resulting Numbers: [64, 30]
Generated Node #0,0,2: 41:[64, 30] Operation: 58-28=30
Exploring Operation: 64-58=6, Resulting Numbers: [28, 6]
Generated Node #0,0,3: 41:[28, 6] Operation: 64-58=6
Exploring Operation: 64-28=36, Resulting Numbers: [58, 36]
Generated Node #0,0,4: 41:[58, 36] Operation: 64-28=36
Moving to Node #0,1
Current State: 41:[84, 28, 38], Operations: ['64-26=38']
Exploring Operation: 84-28=56, Resulting Numbers: [38, 56]
Generated Node #0,1,0: 41:[38, 56] Operation: 84-28=56
Exploring Operation: 84-38=46, Resulting Numbers: [28, 46]
Generated Node #0,1,1: 41:[28, 46] Operation: 84-38=46
Exploring Operation: 28+38=66, Resulting Numbers: [84, 66]
Generated Node #0,1,2: 41:[84, 66] Operation: 28+38=66
Exploring Operation: 84+28=112, Resulting Numbers: [38, 112]
Generated Node #0,1,3: 41:[38, 112] Operation: 84+28=112
Exploring Operation: 84/28=3, Resulting Numbers: [38, 3]
Generated Node #0,1,4: 41:[38, 3] Operation: 84/28=3
Moving to Node #0,3
Current State: 41:[84, 26, 36], Operations: ['64-28=36']
Exploring Operation: 26+36=62, Resulting Numbers: [84, 62]
Generated Node #0,3,0: 41:[84, 62] Operation: 26+36=62
Exploring Operation: 84-36=48, Resulting Numbers: [26, 48]
Generated Node #0,3,1: 41:[26, 48] Operation: 84-36=48
Exploring Operation: 84-26=58, Resulting Numbers: [36, 58]
Generated Node #0,3,2: 41:[36, 58] Operation: 84-26=58
Exploring Operation: 36-26=10, Resulting Numbers: [84, 10]
Generated Node #0,3,3: 41:[84, 10] Operation: 36-26=10
Exploring Operation: 84+26=110, Resulting Numbers: [36, 110]
Generated Node #0,3,4: 41:[36, 110] Operation: 84+26=110
Moving to Node #0,2,0
Current State: 41:[28, 46], Operations: ['84-64=20', '26+20=46']
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 28+46=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Exploring Operation: 28*46=1288, Resulting Numbers: [1288]
1288,41 unequal: No Solution
Moving to Node #0,1,1
Current State: 41:[28, 46], Operations: ['64-26=38', '84-38=46']
Exploring Operation: 28*46=1288, Resulting Numbers: [1288]
1288,41 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Exploring Operation: 28+46=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Moving to Node #0,1,0
Current State: 41:[38, 56], Operations: ['64-26=38', '84-28=56']
Exploring Operation: 38*56=2128, Resulting Numbers: [2128]
2128,41 unequal: No Solution
Exploring Operation: 38+56=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,41 unequal: No Solution
Moving to Node #0,0,4
Current State: 41:[58, 36], Operations: ['84-26=58', '64-28=36']
Exploring Operation: 58*36=2088, Resulting Numbers: [2088]
2088,41 unequal: No Solution
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 58+36=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Moving to Node #0,2,1
Current State: 41:[26, 48], Operations: ['84-64=20', '28+20=48']
Exploring Operation: 26+48=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 26*48=1248, Resulting Numbers: [1248]
1248,41 unequal: No Solution
Moving to Node #0,3,1
Current State: 41:[26, 48], Operations: ['64-28=36', '84-36=48']
Exploring Operation: 26*48=1248, Resulting Numbers: [1248]
1248,41 unequal: No Solution
Exploring Operation: 26+48=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Exploring Operation: 48-26=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Moving to Node #0,3,2
Current State: 41:[36, 58], Operations: ['64-28=36', '84-26=58']
Exploring Operation: 58-36=22, Resulting Numbers: [22]
22,41 unequal: No Solution
Exploring Operation: 36*58=2088, Resulting Numbers: [2088]
2088,41 unequal: No Solution
Exploring Operation: 36+58=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Moving to Node #0,0,2
Current State: 41:[64, 30], Operations: ['84-26=58', '58-28=30']
Exploring Operation: 64*30=1920, Resulting Numbers: [1920]
1920,41 unequal: No Solution
Exploring Operation: 64+30=94, Resulting Numbers: [94]
94,41 unequal: No Solution
Exploring Operation: 64-30=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Moving to Node #0,2,3
Current State: 41:[20, 54], Operations: ['84-64=20', '26+28=54']
Exploring Operation: 20*54=1080, Resulting Numbers: [1080]
1080,41 unequal: No Solution
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,41 unequal: No Solution
Exploring Operation: 20+54=74, Resulting Numbers: [74]
74,41 unequal: No Solution
Moving to Node #0,1,4
Current State: 41:[38, 3], Operations: ['64-26=38', '84/28=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
Moving to Node #0
Current State: 41:[84, 26, 28, 64], Operations: []
Exploring Operation: 64-26=38, Resulting Numbers: [84, 28, 38]
Generated Node #0,1: 41:[84, 28, 38] Operation: 64-26=38
Moving to Node #0,1
Current State: 41:[84, 28, 38], Operations: ['64-26=38']
Exploring Operation: 84/28=3, Resulting Numbers: [38, 3]
Generated Node #0,1,4: 41:[38, 3] Operation: 84/28=3
Moving to Node #0,1,4
Current State: 41:[38, 3], Operations: ['64-26=38', '84/28=3']
Exploring Operation: 38+3=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 0.93316
|
hs_5
|
sum_heuristic
|
[
45,
28,
56,
7
] | 72
|
[
"45*56=2520",
"28+7=35",
"2520/35=72"
] |
Current State: 72:[45, 28, 56, 7], Operations: []
Exploring Operation: 45*56=2520, Resulting Numbers: [28, 7, 2520]
Generated Node #2: [28, 7, 2520] from Operation: 45*56=2520
Current State: 72:[28, 7, 2520], Operations: ['45*56=2520']
Exploring Operation: 28+7=35, Resulting Numbers: [2520, 35]
Generated Node #3: [2520, 35] from Operation: 28+7=35
Current State: 72:[2520, 35], Operations: ['45*56=2520', '28+7=35']
Exploring Operation: 2520/35=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
Current State: 72:[45, 28, 56, 7], Operations: []
Exploring Operation: 56-45=11, Resulting Numbers: [28, 7, 11]
Generated Node #0,0: 72:[28, 7, 11] Operation: 56-45=11
Exploring Operation: 56/28=2, Resulting Numbers: [45, 7, 2]
Generated Node #0,1: 72:[45, 7, 2] Operation: 56/28=2
Moving to Node #0,0
Current State: 72:[28, 7, 11], Operations: ['56-45=11']
Exploring Operation: 28+7=35, Resulting Numbers: [11, 35]
Generated Node #0,0,0: 72:[11, 35] Operation: 28+7=35
Exploring Operation: 28/7=4, Resulting Numbers: [11, 4]
Generated Node #0,0,1: 72:[11, 4] Operation: 28/7=4
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 72:[11, 4], Operations: ['56-45=11', '28/7=4']
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,72 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 #0,0,0
Current State: 72:[11, 35], Operations: ['56-45=11', '28+7=35']
Exploring Operation: 11+35=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,72 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: 72:[45, 7, 2], Operations: ['56/28=2']
Exploring Operation: 45-7=38, Resulting Numbers: [2, 38]
Generated Node #0,1,0: 72:[2, 38] Operation: 45-7=38
Exploring Operation: 45-2=43, Resulting Numbers: [7, 43]
Generated Node #0,1,1: 72:[7, 43] Operation: 45-2=43
Moving to Node #0,1,0
Current State: 72:[2, 38], Operations: ['56/28=2', '45-7=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[7, 43], Operations: ['56/28=2', '45-2=43']
Exploring Operation: 7+43=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,72 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
98,
42,
56,
12
] | 96
|
[
"98+42=140",
"56-12=44",
"140-44=96"
] |
Current State: 96:[98, 42, 56, 12], Operations: []
Exploring Operation: 98+42=140, Resulting Numbers: [56, 12, 140]
Generated Node #2: [56, 12, 140] from Operation: 98+42=140
Current State: 96:[56, 12, 140], Operations: ['98+42=140']
Exploring Operation: 56-12=44, Resulting Numbers: [140, 44]
Generated Node #3: [140, 44] from Operation: 56-12=44
Current State: 96:[140, 44], Operations: ['98+42=140', '56-12=44']
Exploring Operation: 140-44=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
Current State: 96:[98, 42, 56, 12], Operations: []
Exploring Operation: 42+56=98, Resulting Numbers: [98, 12, 98]
Generated Node #0,0: 96:[98, 12, 98] Operation: 42+56=98
Moving to Node #0,0
Current State: 96:[98, 12, 98], Operations: ['42+56=98']
Exploring Operation: 98/98=1, Resulting Numbers: [12, 1]
Generated Node #0,0,0: 96:[12, 1] Operation: 98/98=1
Moving to Node #0,0,0
Current State: 96:[12, 1], Operations: ['42+56=98', '98/98=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,96 unequal: No Solution
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
37,
75,
19,
77
] | 54
|
[
"37+75=112",
"77-19=58",
"112-58=54"
] |
Current State: 54:[37, 75, 19, 77], Operations: []
Exploring Operation: 37+75=112, Resulting Numbers: [19, 77, 112]
Generated Node #2: [19, 77, 112] from Operation: 37+75=112
Current State: 54:[19, 77, 112], Operations: ['37+75=112']
Exploring Operation: 77-19=58, Resulting Numbers: [112, 58]
Generated Node #3: [112, 58] from Operation: 77-19=58
Current State: 54:[112, 58], Operations: ['37+75=112', '77-19=58']
Exploring Operation: 112-58=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4
|
Current State: 54:[37, 75, 19, 77], Operations: []
Exploring Operation: 75-37=38, Resulting Numbers: [19, 77, 38]
Generated Node #0,0: 54:[19, 77, 38] Operation: 75-37=38
Exploring Operation: 77-75=2, Resulting Numbers: [37, 19, 2]
Generated Node #0,1: 54:[37, 19, 2] Operation: 77-75=2
Exploring Operation: 77-37=40, Resulting Numbers: [75, 19, 40]
Generated Node #0,2: 54:[75, 19, 40] Operation: 77-37=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 54:[37, 19, 2], Operations: ['77-75=2']
Exploring Operation: 37-2=35, Resulting Numbers: [19, 35]
Generated Node #0,1,0: 54:[19, 35] Operation: 37-2=35
Exploring Operation: 37+19=56, Resulting Numbers: [2, 56]
Generated Node #0,1,1: 54:[2, 56] Operation: 37+19=56
Exploring Operation: 37-19=18, Resulting Numbers: [2, 18]
Generated Node #0,1,2: 54:[2, 18] Operation: 37-19=18
Moving to Node #0,1,2
Current State: 54:[2, 18], Operations: ['77-75=2', '37-19=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,54 unequal: No Solution
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,54 unequal: No Solution
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,54 unequal: No Solution
Moving to Node #0,1,1
Current State: 54:[2, 56], Operations: ['77-75=2', '37+19=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Moving to Node #0
Current State: 54:[37, 75, 19, 77], Operations: []
Exploring Operation: 77-75=2, Resulting Numbers: [37, 19, 2]
Generated Node #0,1: 54:[37, 19, 2] Operation: 77-75=2
Moving to Node #0,1
Current State: 54:[37, 19, 2], Operations: ['77-75=2']
Exploring Operation: 37+19=56, Resulting Numbers: [2, 56]
Generated Node #0,1,1: 54:[2, 56] Operation: 37+19=56
Moving to Node #0,1,1
Current State: 54:[2, 56], Operations: ['77-75=2', '37+19=56']
Exploring Operation: 56-2=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_3
|
sum_heuristic
|
[
34,
21,
2,
84
] | 79
|
[
"84-34=50",
"2*50=100",
"100-21=79"
] |
Current State: 79:[34, 21, 2, 84], Operations: []
Exploring Operation: 84-34=50, Resulting Numbers: [21, 2, 50]
Generated Node #2: [21, 2, 50] from Operation: 84-34=50
Current State: 79:[21, 2, 50], Operations: ['84-34=50']
Exploring Operation: 2*50=100, Resulting Numbers: [21, 100]
Generated Node #3: [21, 100] from Operation: 2*50=100
Current State: 79:[21, 100], Operations: ['84-34=50', '2*50=100']
Exploring Operation: 100-21=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4
|
Current State: 79:[34, 21, 2, 84], Operations: []
Exploring Operation: 21*2=42, Resulting Numbers: [34, 84, 42]
Generated Node #0,0: 79:[34, 84, 42] Operation: 21*2=42
Exploring Operation: 34+21=55, Resulting Numbers: [2, 84, 55]
Generated Node #0,1: 79:[2, 84, 55] Operation: 34+21=55
Exploring Operation: 34*2=68, Resulting Numbers: [21, 84, 68]
Generated Node #0,2: 79:[21, 84, 68] Operation: 34*2=68
Exploring Operation: 34+2=36, Resulting Numbers: [21, 84, 36]
Generated Node #0,3: 79:[21, 84, 36] Operation: 34+2=36
Moving to Node #0,2
Current State: 79:[21, 84, 68], Operations: ['34*2=68']
Exploring Operation: 84-21=63, Resulting Numbers: [68, 63]
Generated Node #0,2,0: 79:[68, 63] Operation: 84-21=63
Exploring Operation: 68-21=47, Resulting Numbers: [84, 47]
Generated Node #0,2,1: 79:[84, 47] Operation: 68-21=47
Exploring Operation: 21+84=105, Resulting Numbers: [68, 105]
Generated Node #0,2,2: 79:[68, 105] Operation: 21+84=105
Exploring Operation: 21+68=89, Resulting Numbers: [84, 89]
Generated Node #0,2,3: 79:[84, 89] Operation: 21+68=89
Moving to Node #0,0
Current State: 79:[34, 84, 42], Operations: ['21*2=42']
Exploring Operation: 34+84=118, Resulting Numbers: [42, 118]
Generated Node #0,0,0: 79:[42, 118] Operation: 34+84=118
Exploring Operation: 84-34=50, Resulting Numbers: [42, 50]
Generated Node #0,0,1: 79:[42, 50] Operation: 84-34=50
Exploring Operation: 42-34=8, Resulting Numbers: [84, 8]
Generated Node #0,0,2: 79:[84, 8] Operation: 42-34=8
Exploring Operation: 34+42=76, Resulting Numbers: [84, 76]
Generated Node #0,0,3: 79:[84, 76] Operation: 34+42=76
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 79:[84, 76], Operations: ['21*2=42', '34+42=76']
Exploring Operation: 84-76=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 84+76=160, Resulting Numbers: [160]
160,79 unequal: No Solution
Exploring Operation: 84*76=6384, Resulting Numbers: [6384]
6384,79 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 #0,0,1
Current State: 79:[42, 50], Operations: ['21*2=42', '84-34=50']
Exploring Operation: 42*50=2100, Resulting Numbers: [2100]
2100,79 unequal: No Solution
Exploring Operation: 50-42=8, Resulting Numbers: [8]
8,79 unequal: No Solution
Exploring Operation: 42+50=92, Resulting Numbers: [92]
92,79 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 #0,0,0
Current State: 79:[42, 118], Operations: ['21*2=42', '34+84=118']
Exploring Operation: 42+118=160, Resulting Numbers: [160]
160,79 unequal: No Solution
Exploring Operation: 42*118=4956, Resulting Numbers: [4956]
4956,79 unequal: No Solution
Exploring Operation: 118-42=76, Resulting Numbers: [76]
76,79 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 #0,0,2
Current State: 79:[84, 8], Operations: ['21*2=42', '42-34=8']
Exploring Operation: 84*8=672, Resulting Numbers: [672]
672,79 unequal: No Solution
Exploring Operation: 84-8=76, Resulting Numbers: [76]
76,79 unequal: No Solution
Exploring Operation: 84+8=92, Resulting Numbers: [92]
92,79 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: 79:[21, 84, 36], Operations: ['34+2=36']
Exploring Operation: 36-21=15, Resulting Numbers: [84, 15]
Generated Node #0,3,0: 79:[84, 15] Operation: 36-21=15
Exploring Operation: 21+84=105, Resulting Numbers: [36, 105]
Generated Node #0,3,1: 79:[36, 105] Operation: 21+84=105
Exploring Operation: 21+36=57, Resulting Numbers: [84, 57]
Generated Node #0,3,2: 79:[84, 57] Operation: 21+36=57
Exploring Operation: 84-21=63, Resulting Numbers: [36, 63]
Generated Node #0,3,3: 79:[36, 63] Operation: 84-21=63
Moving to Node #0,1
Current State: 79:[2, 84, 55], Operations: ['34+21=55']
Exploring Operation: 2+84=86, Resulting Numbers: [55, 86]
Generated Node #0,1,0: 79:[55, 86] Operation: 2+84=86
Exploring Operation: 2+55=57, Resulting Numbers: [84, 57]
Generated Node #0,1,1: 79:[84, 57] Operation: 2+55=57
Exploring Operation: 84-2=82, Resulting Numbers: [55, 82]
Generated Node #0,1,2: 79:[55, 82] Operation: 84-2=82
Exploring Operation: 55-2=53, Resulting Numbers: [84, 53]
Generated Node #0,1,3: 79:[84, 53] Operation: 55-2=53
Moving to Node #0,2,3
Current State: 79:[84, 89], Operations: ['34*2=68', '21+68=89']
Exploring Operation: 84*89=7476, Resulting Numbers: [7476]
7476,79 unequal: No Solution
Exploring Operation: 84+89=173, Resulting Numbers: [173]
173,79 unequal: No Solution
Exploring Operation: 89-84=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[68, 63], Operations: ['34*2=68', '84-21=63']
Exploring Operation: 68+63=131, Resulting Numbers: [131]
131,79 unequal: No Solution
Exploring Operation: 68-63=5, Resulting Numbers: [5]
5,79 unequal: No Solution
Exploring Operation: 68*63=4284, Resulting Numbers: [4284]
4284,79 unequal: No Solution
Moving to Node #0,3,2
Current State: 79:[84, 57], Operations: ['34+2=36', '21+36=57']
Exploring Operation: 84*57=4788, Resulting Numbers: [4788]
4788,79 unequal: No Solution
Exploring Operation: 84+57=141, Resulting Numbers: [141]
141,79 unequal: No Solution
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[55, 82], Operations: ['34+21=55', '84-2=82']
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 55+82=137, Resulting Numbers: [137]
137,79 unequal: No Solution
Exploring Operation: 55*82=4510, Resulting Numbers: [4510]
4510,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[84, 57], Operations: ['34+21=55', '2+55=57']
Exploring Operation: 84-57=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Exploring Operation: 84+57=141, Resulting Numbers: [141]
141,79 unequal: No Solution
Exploring Operation: 84*57=4788, Resulting Numbers: [4788]
4788,79 unequal: No Solution
Moving to Node #0,1,3
Current State: 79:[84, 53], Operations: ['34+21=55', '55-2=53']
Exploring Operation: 84+53=137, Resulting Numbers: [137]
137,79 unequal: No Solution
Exploring Operation: 84*53=4452, Resulting Numbers: [4452]
4452,79 unequal: No Solution
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[55, 86], Operations: ['34+21=55', '2+84=86']
Exploring Operation: 86-55=31, Resulting Numbers: [31]
31,79 unequal: No Solution
Exploring Operation: 55*86=4730, Resulting Numbers: [4730]
4730,79 unequal: No Solution
Exploring Operation: 55+86=141, Resulting Numbers: [141]
141,79 unequal: No Solution
Moving to Node #0,2,1
Current State: 79:[84, 47], Operations: ['34*2=68', '68-21=47']
Exploring Operation: 84-47=37, Resulting Numbers: [37]
37,79 unequal: No Solution
Exploring Operation: 84+47=131, Resulting Numbers: [131]
131,79 unequal: No Solution
Exploring Operation: 84*47=3948, Resulting Numbers: [3948]
3948,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[68, 105], Operations: ['34*2=68', '21+84=105']
Exploring Operation: 68*105=7140, Resulting Numbers: [7140]
7140,79 unequal: No Solution
Exploring Operation: 68+105=173, Resulting Numbers: [173]
173,79 unequal: No Solution
Exploring Operation: 105-68=37, Resulting Numbers: [37]
37,79 unequal: No Solution
Moving to Node #0,3,3
Current State: 79:[36, 63], Operations: ['34+2=36', '84-21=63']
Exploring Operation: 36*63=2268, Resulting Numbers: [2268]
2268,79 unequal: No Solution
Exploring Operation: 36+63=99, Resulting Numbers: [99]
99,79 unequal: No Solution
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,79 unequal: No Solution
Moving to Node #0,3,0
Current State: 79:[84, 15], Operations: ['34+2=36', '36-21=15']
Exploring Operation: 84*15=1260, Resulting Numbers: [1260]
1260,79 unequal: No Solution
Exploring Operation: 84+15=99, Resulting Numbers: [99]
99,79 unequal: No Solution
Exploring Operation: 84-15=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Moving to Node #0,3,1
Current State: 79:[36, 105], Operations: ['34+2=36', '21+84=105']
Exploring Operation: 105-36=69, Resulting Numbers: [69]
69,79 unequal: No Solution
Exploring Operation: 36+105=141, Resulting Numbers: [141]
141,79 unequal: No Solution
Exploring Operation: 36*105=3780, Resulting Numbers: [3780]
3780,79 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
78,
86,
54,
15
] | 47
|
[
"86-78=8",
"54-15=39",
"8+39=47"
] |
Current State: 47:[78, 86, 54, 15], Operations: []
Exploring Operation: 86-78=8, Resulting Numbers: [54, 15, 8]
Generated Node #2: [54, 15, 8] from Operation: 86-78=8
Current State: 47:[54, 15, 8], Operations: ['86-78=8']
Exploring Operation: 54-15=39, Resulting Numbers: [8, 39]
Generated Node #3: [8, 39] from Operation: 54-15=39
Current State: 47:[8, 39], Operations: ['86-78=8', '54-15=39']
Exploring Operation: 8+39=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[78, 86, 54, 15], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [78, 15, 32]
Generated Node #0,0: 47:[78, 15, 32] Operation: 86-54=32
Exploring Operation: 86-78=8, Resulting Numbers: [54, 15, 8]
Generated Node #0,1: 47:[54, 15, 8] Operation: 86-78=8
Exploring Operation: 78-15=63, Resulting Numbers: [86, 54, 63]
Generated Node #0,2: 47:[86, 54, 63] Operation: 78-15=63
Exploring Operation: 86-15=71, Resulting Numbers: [78, 54, 71]
Generated Node #0,3: 47:[78, 54, 71] Operation: 86-15=71
Moving to Node #0,2
Current State: 47:[86, 54, 63], Operations: ['78-15=63']
Exploring Operation: 86-54=32, Resulting Numbers: [63, 32]
Generated Node #0,2,0: 47:[63, 32] Operation: 86-54=32
Exploring Operation: 86-63=23, Resulting Numbers: [54, 23]
Generated Node #0,2,1: 47:[54, 23] Operation: 86-63=23
Exploring Operation: 63-54=9, Resulting Numbers: [86, 9]
Generated Node #0,2,2: 47:[86, 9] Operation: 63-54=9
Exploring Operation: 86+54=140, Resulting Numbers: [63, 140]
Generated Node #0,2,3: 47:[63, 140] Operation: 86+54=140
Moving to Node #0,3
Current State: 47:[78, 54, 71], Operations: ['86-15=71']
Exploring Operation: 71-54=17, Resulting Numbers: [78, 17]
Generated Node #0,3,0: 47:[78, 17] Operation: 71-54=17
Exploring Operation: 78+54=132, Resulting Numbers: [71, 132]
Generated Node #0,3,1: 47:[71, 132] Operation: 78+54=132
Exploring Operation: 78-54=24, Resulting Numbers: [71, 24]
Generated Node #0,3,2: 47:[71, 24] Operation: 78-54=24
Exploring Operation: 78-71=7, Resulting Numbers: [54, 7]
Generated Node #0,3,3: 47:[54, 7] Operation: 78-71=7
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 47:[71, 24], Operations: ['86-15=71', '78-54=24']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[78, 86, 54, 15], Operations: []
Exploring Operation: 86-15=71, Resulting Numbers: [78, 54, 71]
Generated Node #0,3: 47:[78, 54, 71] Operation: 86-15=71
Moving to Node #0,3
Current State: 47:[78, 54, 71], Operations: ['86-15=71']
Exploring Operation: 78-54=24, Resulting Numbers: [71, 24]
Generated Node #0,3,2: 47:[71, 24] Operation: 78-54=24
Moving to Node #0,3,2
Current State: 47:[71, 24], Operations: ['86-15=71', '78-54=24']
Exploring Operation: 71-24=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_4
|
sum_heuristic
|
[
30,
10,
60,
9
] | 87
|
[
"30/10=3",
"9*3=27",
"60+27=87"
] |
Current State: 87:[30, 10, 60, 9], Operations: []
Exploring Operation: 30/10=3, Resulting Numbers: [60, 9, 3]
Generated Node #2: [60, 9, 3] from Operation: 30/10=3
Current State: 87:[60, 9, 3], Operations: ['30/10=3']
Exploring Operation: 9*3=27, Resulting Numbers: [60, 27]
Generated Node #3: [60, 27] from Operation: 9*3=27
Current State: 87:[60, 27], Operations: ['30/10=3', '9*3=27']
Exploring Operation: 60+27=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4
|
Current State: 87:[30, 10, 60, 9], Operations: []
Exploring Operation: 60/30=2, Resulting Numbers: [10, 9, 2]
Generated Node #0,0: 87:[10, 9, 2] Operation: 60/30=2
Exploring Operation: 30+60=90, Resulting Numbers: [10, 9, 90]
Generated Node #0,1: 87:[10, 9, 90] Operation: 30+60=90
Exploring Operation: 60/10=6, Resulting Numbers: [30, 9, 6]
Generated Node #0,2: 87:[30, 9, 6] Operation: 60/10=6
Exploring Operation: 60-30=30, Resulting Numbers: [10, 9, 30]
Generated Node #0,3: 87:[10, 9, 30] Operation: 60-30=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 87:[30, 9, 6], Operations: ['60/10=6']
Exploring Operation: 30-9=21, Resulting Numbers: [6, 21]
Generated Node #0,2,0: 87:[6, 21] Operation: 30-9=21
Exploring Operation: 30/6=5, Resulting Numbers: [9, 5]
Generated Node #0,2,1: 87:[9, 5] Operation: 30/6=5
Exploring Operation: 9-6=3, Resulting Numbers: [30, 3]
Generated Node #0,2,2: 87:[30, 3] Operation: 9-6=3
Exploring Operation: 30-6=24, Resulting Numbers: [9, 24]
Generated Node #0,2,3: 87:[9, 24] Operation: 30-6=24
Moving to Node #0,2,2
Current State: 87:[30, 3], Operations: ['60/10=6', '9-6=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,87 unequal: No Solution
Exploring Operation: 30+3=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Exploring Operation: 30*3=90, Resulting Numbers: [90]
90,87 unequal: No Solution
Exploring Operation: 30-3=27, Resulting Numbers: [27]
27,87 unequal: No Solution
Moving to Node #0,2,1
Current State: 87:[9, 5], Operations: ['60/10=6', '30/6=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,87 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,87 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Moving to Node #0,2,3
Current State: 87:[9, 24], Operations: ['60/10=6', '30-6=24']
Exploring Operation: 9*24=216, Resulting Numbers: [216]
216,87 unequal: No Solution
Exploring Operation: 24-9=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 9+24=33, Resulting Numbers: [33]
33,87 unequal: No Solution
Moving to Node #0,2,0
Current State: 87:[6, 21], Operations: ['60/10=6', '30-9=21']
Exploring Operation: 6*21=126, Resulting Numbers: [126]
126,87 unequal: No Solution
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,87 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,87 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 87:[10, 9, 2], Operations: ['60/30=2']
Exploring Operation: 10+9=19, Resulting Numbers: [2, 19]
Generated Node #0,0,0: 87:[2, 19] Operation: 10+9=19
Exploring Operation: 10-9=1, Resulting Numbers: [2, 1]
Generated Node #0,0,1: 87:[2, 1] Operation: 10-9=1
Exploring Operation: 10*9=90, Resulting Numbers: [2, 90]
Generated Node #0,0,2: 87:[2, 90] Operation: 10*9=90
Exploring Operation: 10/2=5, Resulting Numbers: [9, 5]
Generated Node #0,0,3: 87:[9, 5] Operation: 10/2=5
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 87:[2, 1], Operations: ['60/30=2', '10-9=1']
Exploring Operation: 2-1=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 2+1=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,87 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 87:[2, 90], Operations: ['60/30=2', '10*9=90']
Exploring Operation: 90/2=45, Resulting Numbers: [45]
45,87 unequal: No Solution
Exploring Operation: 2+90=92, Resulting Numbers: [92]
92,87 unequal: No Solution
Exploring Operation: 2*90=180, Resulting Numbers: [180]
180,87 unequal: No Solution
Exploring Operation: 90-2=88, Resulting Numbers: [88]
88,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 87:[9, 5], Operations: ['60/30=2', '10/2=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,87 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,87 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 87:[2, 19], Operations: ['60/30=2', '10+9=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,87 unequal: No Solution
Exploring Operation: 2*19=38, Resulting Numbers: [38]
38,87 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 87:[10, 9, 30], Operations: ['60-30=30']
Exploring Operation: 10+9=19, Resulting Numbers: [30, 19]
Generated Node #0,3,0: 87:[30, 19] Operation: 10+9=19
Exploring Operation: 10-9=1, Resulting Numbers: [30, 1]
Generated Node #0,3,1: 87:[30, 1] Operation: 10-9=1
Exploring Operation: 10*9=90, Resulting Numbers: [30, 90]
Generated Node #0,3,2: 87:[30, 90] Operation: 10*9=90
Exploring Operation: 30/10=3, Resulting Numbers: [9, 3]
Generated Node #0,3,3: 87:[9, 3] Operation: 30/10=3
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 87:[30, 1], Operations: ['60-30=30', '10-9=1']
Exploring Operation: 30-1=29, Resulting Numbers: [29]
29,87 unequal: No Solution
Exploring Operation: 30+1=31, Resulting Numbers: [31]
31,87 unequal: No Solution
Exploring Operation: 30*1=30, Resulting Numbers: [30]
30,87 unequal: No Solution
Exploring Operation: 30/1=30, Resulting Numbers: [30]
30,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 87:[30, 90], Operations: ['60-30=30', '10*9=90']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,87 unequal: No Solution
Exploring Operation: 30*90=2700, Resulting Numbers: [2700]
2700,87 unequal: No Solution
Exploring Operation: 30+90=120, Resulting Numbers: [120]
120,87 unequal: No Solution
Exploring Operation: 90/30=3, Resulting Numbers: [3]
3,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 87:[9, 3], Operations: ['60-30=30', '30/10=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,87 unequal: No Solution
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,87 unequal: No Solution
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,87 unequal: No Solution
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 87:[30, 19], Operations: ['60-30=30', '10+9=19']
Exploring Operation: 30+19=49, Resulting Numbers: [49]
49,87 unequal: No Solution
Exploring Operation: 30*19=570, Resulting Numbers: [570]
570,87 unequal: No Solution
Exploring Operation: 30-19=11, Resulting Numbers: [11]
11,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 87:[10, 9, 90], Operations: ['30+60=90']
Exploring Operation: 90/10=9, Resulting Numbers: [9, 9]
Generated Node #0,1,0: 87:[9, 9] Operation: 90/10=9
Exploring Operation: 10+9=19, Resulting Numbers: [90, 19]
Generated Node #0,1,1: 87:[90, 19] Operation: 10+9=19
Exploring Operation: 10-9=1, Resulting Numbers: [90, 1]
Generated Node #0,1,2: 87:[90, 1] Operation: 10-9=1
Exploring Operation: 10*9=90, Resulting Numbers: [90, 90]
Generated Node #0,1,3: 87:[90, 90] Operation: 10*9=90
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 87:[90, 1], Operations: ['30+60=90', '10-9=1']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,87 unequal: No Solution
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,87 unequal: No Solution
Exploring Operation: 90+1=91, Resulting Numbers: [91]
91,87 unequal: No Solution
Exploring Operation: 90*1=90, Resulting Numbers: [90]
90,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 87:[90, 90], Operations: ['30+60=90', '10*9=90']
Exploring Operation: 90*90=8100, Resulting Numbers: [8100]
8100,87 unequal: No Solution
Exploring Operation: 90+90=180, Resulting Numbers: [180]
180,87 unequal: No Solution
Exploring Operation: 90/90=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 90-90=0, Resulting Numbers: [0]
0,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 87:[9, 9], Operations: ['30+60=90', '90/10=9']
Exploring Operation: 9+9=18, Resulting Numbers: [18]
18,87 unequal: No Solution
Exploring Operation: 9-9=0, Resulting Numbers: [0]
0,87 unequal: No Solution
Exploring Operation: 9/9=1, Resulting Numbers: [1]
1,87 unequal: No Solution
Exploring Operation: 9*9=81, Resulting Numbers: [81]
81,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 87:[90, 19], Operations: ['30+60=90', '10+9=19']
Exploring Operation: 90*19=1710, Resulting Numbers: [1710]
1710,87 unequal: No Solution
Exploring Operation: 90-19=71, Resulting Numbers: [71]
71,87 unequal: No Solution
Exploring Operation: 90+19=109, Resulting Numbers: [109]
109,87 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
43,
35,
77,
90
] | 65
|
[
"43+35=78",
"90-77=13",
"78-13=65"
] |
Current State: 65:[43, 35, 77, 90], Operations: []
Exploring Operation: 43+35=78, Resulting Numbers: [77, 90, 78]
Generated Node #2: [77, 90, 78] from Operation: 43+35=78
Current State: 65:[77, 90, 78], Operations: ['43+35=78']
Exploring Operation: 90-77=13, Resulting Numbers: [78, 13]
Generated Node #3: [78, 13] from Operation: 90-77=13
Current State: 65:[78, 13], Operations: ['43+35=78', '90-77=13']
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[43, 35, 77, 90], Operations: []
Exploring Operation: 43+35=78, Resulting Numbers: [77, 90, 78]
Generated Node #0,0: 65:[77, 90, 78] Operation: 43+35=78
Exploring Operation: 90-77=13, Resulting Numbers: [43, 35, 13]
Generated Node #0,1: 65:[43, 35, 13] Operation: 90-77=13
Exploring Operation: 90-35=55, Resulting Numbers: [43, 77, 55]
Generated Node #0,2: 65:[43, 77, 55] Operation: 90-35=55
Exploring Operation: 43-35=8, Resulting Numbers: [77, 90, 8]
Generated Node #0,3: 65:[77, 90, 8] Operation: 43-35=8
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[77, 90, 8], Operations: ['43-35=8']
Exploring Operation: 77+8=85, Resulting Numbers: [90, 85]
Generated Node #0,3,0: 65:[90, 85] Operation: 77+8=85
Exploring Operation: 90-77=13, Resulting Numbers: [8, 13]
Generated Node #0,3,1: 65:[8, 13] Operation: 90-77=13
Exploring Operation: 90-8=82, Resulting Numbers: [77, 82]
Generated Node #0,3,2: 65:[77, 82] Operation: 90-8=82
Exploring Operation: 77-8=69, Resulting Numbers: [90, 69]
Generated Node #0,3,3: 65:[90, 69] Operation: 77-8=69
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 65:[8, 13], Operations: ['43-35=8', '90-77=13']
Exploring Operation: 8+13=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 8*13=104, Resulting Numbers: [104]
104,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 65:[77, 82], Operations: ['43-35=8', '90-8=82']
Exploring Operation: 77*82=6314, Resulting Numbers: [6314]
6314,65 unequal: No Solution
Exploring Operation: 77+82=159, Resulting Numbers: [159]
159,65 unequal: No Solution
Exploring Operation: 82-77=5, Resulting Numbers: [5]
5,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 65:[90, 69], Operations: ['43-35=8', '77-8=69']
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 90*69=6210, Resulting Numbers: [6210]
6210,65 unequal: No Solution
Exploring Operation: 90+69=159, Resulting Numbers: [159]
159,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 65:[90, 85], Operations: ['43-35=8', '77+8=85']
Exploring Operation: 90+85=175, Resulting Numbers: [175]
175,65 unequal: No Solution
Exploring Operation: 90*85=7650, Resulting Numbers: [7650]
7650,65 unequal: No Solution
Exploring Operation: 90-85=5, Resulting Numbers: [5]
5,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 65:[43, 35, 13], Operations: ['90-77=13']
Exploring Operation: 43-35=8, Resulting Numbers: [13, 8]
Generated Node #0,1,0: 65:[13, 8] Operation: 43-35=8
Exploring Operation: 43+13=56, Resulting Numbers: [35, 56]
Generated Node #0,1,1: 65:[35, 56] Operation: 43+13=56
Exploring Operation: 43+35=78, Resulting Numbers: [13, 78]
Generated Node #0,1,2: 65:[13, 78] Operation: 43+35=78
Exploring Operation: 35-13=22, Resulting Numbers: [43, 22]
Generated Node #0,1,3: 65:[43, 22] Operation: 35-13=22
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 65:[13, 8], Operations: ['90-77=13', '43-35=8']
Exploring Operation: 13+8=21, Resulting Numbers: [21]
21,65 unequal: No Solution
Exploring Operation: 13-8=5, Resulting Numbers: [5]
5,65 unequal: No Solution
Exploring Operation: 13*8=104, Resulting Numbers: [104]
104,65 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 65:[13, 78], Operations: ['90-77=13', '43+35=78']
Exploring Operation: 13*78=1014, Resulting Numbers: [1014]
1014,65 unequal: No Solution
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[43, 35, 77, 90], Operations: []
Exploring Operation: 90-77=13, Resulting Numbers: [43, 35, 13]
Generated Node #0,1: 65:[43, 35, 13] Operation: 90-77=13
Moving to Node #0,1
Current State: 65:[43, 35, 13], Operations: ['90-77=13']
Exploring Operation: 43+35=78, Resulting Numbers: [13, 78]
Generated Node #0,1,2: 65:[13, 78] Operation: 43+35=78
Moving to Node #0,1,2
Current State: 65:[13, 78], Operations: ['90-77=13', '43+35=78']
Exploring Operation: 78-13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.971354
|
hs_4
|
sum_heuristic
|
[
28,
34,
78,
35
] | 31
|
[
"34+78=112",
"112/28=4",
"35-4=31"
] |
Current State: 31:[28, 34, 78, 35], Operations: []
Exploring Operation: 34+78=112, Resulting Numbers: [28, 35, 112]
Generated Node #2: [28, 35, 112] from Operation: 34+78=112
Current State: 31:[28, 35, 112], Operations: ['34+78=112']
Exploring Operation: 112/28=4, Resulting Numbers: [35, 4]
Generated Node #3: [35, 4] from Operation: 112/28=4
Current State: 31:[35, 4], Operations: ['34+78=112', '112/28=4']
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 4
|
Current State: 31:[28, 34, 78, 35], Operations: []
Exploring Operation: 78-35=43, Resulting Numbers: [28, 34, 43]
Generated Node #0,0: 31:[28, 34, 43] Operation: 78-35=43
Moving to Node #0,0
Current State: 31:[28, 34, 43], Operations: ['78-35=43']
Exploring Operation: 43-28=15, Resulting Numbers: [34, 15]
Generated Node #0,0,0: 31:[34, 15] Operation: 43-28=15
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 31:[34, 15], Operations: ['78-35=43', '43-28=15']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,31 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
|
[
93,
30,
12,
78
] | 96
|
[
"12+78=90",
"90/30=3",
"93+3=96"
] |
Current State: 96:[93, 30, 12, 78], Operations: []
Exploring Operation: 12+78=90, Resulting Numbers: [93, 30, 90]
Generated Node #2: [93, 30, 90] from Operation: 12+78=90
Current State: 96:[93, 30, 90], Operations: ['12+78=90']
Exploring Operation: 90/30=3, Resulting Numbers: [93, 3]
Generated Node #3: [93, 3] from Operation: 90/30=3
Current State: 96:[93, 3], Operations: ['12+78=90', '90/30=3']
Exploring Operation: 93+3=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
Current State: 96:[93, 30, 12, 78], Operations: []
Exploring Operation: 93-78=15, Resulting Numbers: [30, 12, 15]
Generated Node #0,0: 96:[30, 12, 15] Operation: 93-78=15
Exploring Operation: 78-30=48, Resulting Numbers: [93, 12, 48]
Generated Node #0,1: 96:[93, 12, 48] Operation: 78-30=48
Moving to Node #0,0
Current State: 96:[30, 12, 15], Operations: ['93-78=15']
Exploring Operation: 30-15=15, Resulting Numbers: [12, 15]
Generated Node #0,0,0: 96:[12, 15] Operation: 30-15=15
Exploring Operation: 30/15=2, Resulting Numbers: [12, 2]
Generated Node #0,0,1: 96:[12, 2] Operation: 30/15=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[12, 2], Operations: ['93-78=15', '30/15=2']
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,96 unequal: No Solution
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,96 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 #0,0,0
Current State: 96:[12, 15], Operations: ['93-78=15', '30-15=15']
Exploring Operation: 15-12=3, Resulting Numbers: [3]
3,96 unequal: No Solution
Exploring Operation: 12+15=27, Resulting Numbers: [27]
27,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 96:[93, 12, 48], Operations: ['78-30=48']
Exploring Operation: 48/12=4, Resulting Numbers: [93, 4]
Generated Node #0,1,0: 96:[93, 4] Operation: 48/12=4
Exploring Operation: 93-48=45, Resulting Numbers: [12, 45]
Generated Node #0,1,1: 96:[12, 45] Operation: 93-48=45
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 96:[93, 4], Operations: ['78-30=48', '48/12=4']
Exploring Operation: 93+4=97, Resulting Numbers: [97]
97,96 unequal: No Solution
Exploring Operation: 93-4=89, Resulting Numbers: [89]
89,96 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:[12, 45], Operations: ['78-30=48', '93-48=45']
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,96 unequal: No Solution
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
37,
2,
10,
10
] | 73
|
[
"37*2=74",
"10/10=1",
"74-1=73"
] |
Current State: 73:[37, 2, 10, 10], Operations: []
Exploring Operation: 37*2=74, Resulting Numbers: [10, 10, 74]
Generated Node #2: [10, 10, 74] from Operation: 37*2=74
Current State: 73:[10, 10, 74], Operations: ['37*2=74']
Exploring Operation: 10/10=1, Resulting Numbers: [74, 1]
Generated Node #3: [74, 1] from Operation: 10/10=1
Current State: 73:[74, 1], Operations: ['37*2=74', '10/10=1']
Exploring Operation: 74-1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4
|
Current State: 73:[37, 2, 10, 10], Operations: []
Exploring Operation: 37*2=74, Resulting Numbers: [10, 10, 74]
Generated Node #0,0: 73:[10, 10, 74] Operation: 37*2=74
Moving to Node #0,0
Current State: 73:[10, 10, 74], Operations: ['37*2=74']
Exploring Operation: 10*10=100, Resulting Numbers: [74, 100]
Generated Node #0,0,0: 73:[74, 100] Operation: 10*10=100
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 73:[74, 100], Operations: ['37*2=74', '10*10=100']
Exploring Operation: 100-74=26, Resulting Numbers: [26]
26,73 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
59,
34,
57,
15
] | 47
|
[
"59-34=25",
"57+15=72",
"72-25=47"
] |
Current State: 47:[59, 34, 57, 15], Operations: []
Exploring Operation: 59-34=25, Resulting Numbers: [57, 15, 25]
Generated Node #2: [57, 15, 25] from Operation: 59-34=25
Current State: 47:[57, 15, 25], Operations: ['59-34=25']
Exploring Operation: 57+15=72, Resulting Numbers: [25, 72]
Generated Node #3: [25, 72] from Operation: 57+15=72
Current State: 47:[25, 72], Operations: ['59-34=25', '57+15=72']
Exploring Operation: 72-25=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[59, 34, 57, 15], Operations: []
Exploring Operation: 34+15=49, Resulting Numbers: [59, 57, 49]
Generated Node #0,0: 47:[59, 57, 49] Operation: 34+15=49
Moving to Node #0,0
Current State: 47:[59, 57, 49], Operations: ['34+15=49']
Exploring Operation: 59-57=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 47:[49, 2] Operation: 59-57=2
Moving to Node #0,0,0
Current State: 47:[49, 2], Operations: ['34+15=49', '59-57=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[59, 34, 57, 15], Operations: []
Exploring Operation: 34+15=49, Resulting Numbers: [59, 57, 49]
Generated Node #0,0: 47:[59, 57, 49] Operation: 34+15=49
Moving to Node #0,0
Current State: 47:[59, 57, 49], Operations: ['34+15=49']
Exploring Operation: 59-57=2, Resulting Numbers: [49, 2]
Generated Node #0,0,0: 47:[49, 2] Operation: 59-57=2
Moving to Node #0,0,0
Current State: 47:[49, 2], Operations: ['34+15=49', '59-57=2']
Exploring Operation: 49-2=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 0.993924
|
hs_1
|
mult_heuristic
|
[
62,
46,
77,
20
] | 22
|
[
"77-46=31",
"62/31=2",
"20+2=22"
] |
Current State: 22:[62, 46, 77, 20], Operations: []
Exploring Operation: 77-46=31, Resulting Numbers: [62, 20, 31]
Generated Node #2: [62, 20, 31] from Operation: 77-46=31
Current State: 22:[62, 20, 31], Operations: ['77-46=31']
Exploring Operation: 62/31=2, Resulting Numbers: [20, 2]
Generated Node #3: [20, 2] from Operation: 62/31=2
Current State: 22:[20, 2], Operations: ['77-46=31', '62/31=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
Current State: 22:[62, 46, 77, 20], Operations: []
Exploring Operation: 77-62=15, Resulting Numbers: [46, 20, 15]
Generated Node #0,0: 22:[46, 20, 15] Operation: 77-62=15
Exploring Operation: 77-46=31, Resulting Numbers: [62, 20, 31]
Generated Node #0,1: 22:[62, 20, 31] Operation: 77-46=31
Start Sub Search at level 1: Moving to Node #0,0
Current State: 22:[46, 20, 15], Operations: ['77-62=15']
Exploring Operation: 46-15=31, Resulting Numbers: [20, 31]
Generated Node #0,0,0: 22:[20, 31] Operation: 46-15=31
Exploring Operation: 46-20=26, Resulting Numbers: [15, 26]
Generated Node #0,0,1: 22:[15, 26] Operation: 46-20=26
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 22:[15, 26], Operations: ['77-62=15', '46-20=26']
Exploring Operation: 15+26=41, Resulting Numbers: [41]
41,22 unequal: No Solution
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,22 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, 31], Operations: ['77-62=15', '46-15=31']
Exploring Operation: 31-20=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Exploring Operation: 20+31=51, Resulting Numbers: [51]
51,22 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:[62, 20, 31], Operations: ['77-46=31']
Exploring Operation: 62-31=31, Resulting Numbers: [20, 31]
Generated Node #0,1,0: 22:[20, 31] Operation: 62-31=31
Exploring Operation: 62/31=2, Resulting Numbers: [20, 2]
Generated Node #0,1,1: 22:[20, 2] Operation: 62/31=2
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 22:[20, 2], Operations: ['77-46=31', '62/31=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Moving to Node #0
Current State: 22:[62, 46, 77, 20], Operations: []
Exploring Operation: 77-46=31, Resulting Numbers: [62, 20, 31]
Generated Node #0,1: 22:[62, 20, 31] Operation: 77-46=31
Moving to Node #0,1
Current State: 22:[62, 20, 31], Operations: ['77-46=31']
Exploring Operation: 62/31=2, Resulting Numbers: [20, 2]
Generated Node #0,1,1: 22:[20, 2] Operation: 62/31=2
Moving to Node #0,1,1
Current State: 22:[20, 2], Operations: ['77-46=31', '62/31=2']
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_2
|
sum_heuristic
|
[
62,
4,
58,
35
] | 50
|
[
"62-35=27",
"4*27=108",
"108-58=50"
] |
Current State: 50:[62, 4, 58, 35], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [4, 58, 27]
Generated Node #2: [4, 58, 27] from Operation: 62-35=27
Current State: 50:[4, 58, 27], Operations: ['62-35=27']
Exploring Operation: 4*27=108, Resulting Numbers: [58, 108]
Generated Node #3: [58, 108] from Operation: 4*27=108
Current State: 50:[58, 108], Operations: ['62-35=27', '4*27=108']
Exploring Operation: 108-58=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[62, 4, 58, 35], Operations: []
Exploring Operation: 62-35=27, Resulting Numbers: [4, 58, 27]
Generated Node #0,0: 50:[4, 58, 27] Operation: 62-35=27
Exploring Operation: 58-35=23, Resulting Numbers: [62, 4, 23]
Generated Node #0,1: 50:[62, 4, 23] Operation: 58-35=23
Exploring Operation: 62-58=4, Resulting Numbers: [4, 35, 4]
Generated Node #0,2: 50:[4, 35, 4] Operation: 62-58=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 50:[4, 58, 27], Operations: ['62-35=27']
Exploring Operation: 58-27=31, Resulting Numbers: [4, 31]
Generated Node #0,0,0: 50:[4, 31] Operation: 58-27=31
Exploring Operation: 58-4=54, Resulting Numbers: [27, 54]
Generated Node #0,0,1: 50:[27, 54] Operation: 58-4=54
Exploring Operation: 27-4=23, Resulting Numbers: [58, 23]
Generated Node #0,0,2: 50:[58, 23] Operation: 27-4=23
Moving to Node #0,0,1
Current State: 50:[27, 54], Operations: ['62-35=27', '58-4=54']
Exploring Operation: 27+54=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 54/27=2, Resulting Numbers: [2]
2,50 unequal: No Solution
Exploring Operation: 54-27=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[4, 31], Operations: ['62-35=27', '58-27=31']
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[58, 23], Operations: ['62-35=27', '27-4=23']
Exploring Operation: 58+23=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 58*23=1334, Resulting Numbers: [1334]
1334,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[4, 35, 4], Operations: ['62-58=4']
Exploring Operation: 4/4=1, Resulting Numbers: [35, 1]
Generated Node #0,2,0: 50:[35, 1] Operation: 4/4=1
Exploring Operation: 35-4=31, Resulting Numbers: [4, 31]
Generated Node #0,2,1: 50:[4, 31] Operation: 35-4=31
Exploring Operation: 35-4=31, Resulting Numbers: [4, 31]
Generated Node #0,2,2: 50:[4, 31] Operation: 35-4=31
Moving to Node #0,2,1
Current State: 50:[4, 31], Operations: ['62-58=4', '35-4=31']
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,50 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Moving to Node #0,2,2
Current State: 50:[4, 31], Operations: ['62-58=4', '35-4=31']
Exploring Operation: 4*31=124, Resulting Numbers: [124]
124,50 unequal: No Solution
Exploring Operation: 4+31=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,50 unequal: No Solution
Moving to Node #0,2,0
Current State: 50:[35, 1], Operations: ['62-58=4', '4/4=1']
Exploring Operation: 35/1=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 35-1=34, Resulting Numbers: [34]
34,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[62, 4, 23], Operations: ['58-35=23']
Exploring Operation: 4+23=27, Resulting Numbers: [62, 27]
Generated Node #0,1,0: 50:[62, 27] Operation: 4+23=27
Exploring Operation: 62-23=39, Resulting Numbers: [4, 39]
Generated Node #0,1,1: 50:[4, 39] Operation: 62-23=39
Exploring Operation: 62-4=58, Resulting Numbers: [23, 58]
Generated Node #0,1,2: 50:[23, 58] Operation: 62-4=58
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 50:[23, 58], Operations: ['58-35=23', '62-4=58']
Exploring Operation: 23+58=81, Resulting Numbers: [81]
81,50 unequal: No Solution
Exploring Operation: 23*58=1334, Resulting Numbers: [1334]
1334,50 unequal: No Solution
Exploring Operation: 58-23=35, Resulting Numbers: [35]
35,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 50:[4, 39], Operations: ['58-35=23', '62-23=39']
Exploring Operation: 4+39=43, Resulting Numbers: [43]
43,50 unequal: No Solution
Exploring Operation: 39-4=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 4*39=156, Resulting Numbers: [156]
156,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 50:[62, 27], Operations: ['58-35=23', '4+23=27']
Exploring Operation: 62-27=35, Resulting Numbers: [35]
35,50 unequal: No Solution
Exploring Operation: 62*27=1674, Resulting Numbers: [1674]
1674,50 unequal: No Solution
Exploring Operation: 62+27=89, Resulting Numbers: [89]
89,50 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
39,
45,
78,
48
] | 13
|
[
"78-39=39",
"48-45=3",
"39/3=13"
] |
Current State: 13:[39, 45, 78, 48], Operations: []
Exploring Operation: 78-39=39, Resulting Numbers: [45, 48, 39]
Generated Node #2: [45, 48, 39] from Operation: 78-39=39
Current State: 13:[45, 48, 39], Operations: ['78-39=39']
Exploring Operation: 48-45=3, Resulting Numbers: [39, 3]
Generated Node #3: [39, 3] from Operation: 48-45=3
Current State: 13:[39, 3], Operations: ['78-39=39', '48-45=3']
Exploring Operation: 39/3=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4
|
Current State: 13:[39, 45, 78, 48], Operations: []
Exploring Operation: 78/39=2, Resulting Numbers: [45, 48, 2]
Generated Node #0,0: 13:[45, 48, 2] Operation: 78/39=2
Exploring Operation: 78-45=33, Resulting Numbers: [39, 48, 33]
Generated Node #0,1: 13:[39, 48, 33] Operation: 78-45=33
Exploring Operation: 78-48=30, Resulting Numbers: [39, 45, 30]
Generated Node #0,2: 13:[39, 45, 30] Operation: 78-48=30
Start Sub Search at level 1: Moving to Node #0,2
Current State: 13:[39, 45, 30], Operations: ['78-48=30']
Exploring Operation: 45-30=15, Resulting Numbers: [39, 15]
Generated Node #0,2,0: 13:[39, 15] Operation: 45-30=15
Exploring Operation: 39-30=9, Resulting Numbers: [45, 9]
Generated Node #0,2,1: 13:[45, 9] Operation: 39-30=9
Exploring Operation: 45-39=6, Resulting Numbers: [30, 6]
Generated Node #0,2,2: 13:[30, 6] Operation: 45-39=6
Moving to Node #0,2,2
Current State: 13:[30, 6], Operations: ['78-48=30', '45-39=6']
Exploring Operation: 30/6=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 30-6=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 30+6=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Moving to Node #0,2,0
Current State: 13:[39, 15], Operations: ['78-48=30', '45-30=15']
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,13 unequal: No Solution
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,13 unequal: No Solution
Moving to Node #0,2,1
Current State: 13:[45, 9], Operations: ['78-48=30', '39-30=9']
Exploring Operation: 45+9=54, Resulting Numbers: [54]
54,13 unequal: No Solution
Exploring Operation: 45-9=36, Resulting Numbers: [36]
36,13 unequal: No Solution
Exploring Operation: 45/9=5, Resulting Numbers: [5]
5,13 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 13:[45, 48, 2], Operations: ['78/39=2']
Exploring Operation: 45-2=43, Resulting Numbers: [48, 43]
Generated Node #0,0,0: 13:[48, 43] Operation: 45-2=43
Exploring Operation: 48-45=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 13:[2, 3] Operation: 48-45=3
Exploring Operation: 48/2=24, Resulting Numbers: [45, 24]
Generated Node #0,0,2: 13:[45, 24] Operation: 48/2=24
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 13:[2, 3], Operations: ['78/39=2', '48-45=3']
Exploring Operation: 2*3=6, Resulting Numbers: [6]
6,13 unequal: No Solution
Exploring Operation: 2+3=5, Resulting Numbers: [5]
5,13 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,13 unequal: No Solution
No 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: 13:[45, 24], Operations: ['78/39=2', '48/2=24']
Exploring Operation: 45*24=1080, Resulting Numbers: [1080]
1080,13 unequal: No Solution
Exploring Operation: 45+24=69, Resulting Numbers: [69]
69,13 unequal: No Solution
Exploring Operation: 45-24=21, Resulting Numbers: [21]
21,13 unequal: No Solution
No 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: 13:[48, 43], Operations: ['78/39=2', '45-2=43']
Exploring Operation: 48+43=91, Resulting Numbers: [91]
91,13 unequal: No Solution
Exploring Operation: 48*43=2064, Resulting Numbers: [2064]
2064,13 unequal: No Solution
Exploring Operation: 48-43=5, Resulting Numbers: [5]
5,13 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: 13:[39, 48, 33], Operations: ['78-45=33']
Exploring Operation: 48-39=9, Resulting Numbers: [33, 9]
Generated Node #0,1,0: 13:[33, 9] Operation: 48-39=9
Exploring Operation: 39-33=6, Resulting Numbers: [48, 6]
Generated Node #0,1,1: 13:[48, 6] Operation: 39-33=6
Exploring Operation: 48-33=15, Resulting Numbers: [39, 15]
Generated Node #0,1,2: 13:[39, 15] Operation: 48-33=15
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 13:[33, 9], Operations: ['78-45=33', '48-39=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,13 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,13 unequal: No Solution
Exploring Operation: 33*9=297, Resulting Numbers: [297]
297,13 unequal: No Solution
No 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: 13:[39, 15], Operations: ['78-45=33', '48-33=15']
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,13 unequal: No Solution
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,13 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,13 unequal: No Solution
No 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: 13:[48, 6], Operations: ['78-45=33', '39-33=6']
Exploring Operation: 48/6=8, Resulting Numbers: [8]
8,13 unequal: No Solution
Exploring Operation: 48+6=54, Resulting Numbers: [54]
54,13 unequal: No Solution
Exploring Operation: 48-6=42, Resulting Numbers: [42]
42,13 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
|
[
82,
34,
73,
59
] | 39
|
[
"82*34=2788",
"59+2788=2847",
"2847/73=39"
] |
Current State: 39:[82, 34, 73, 59], Operations: []
Exploring Operation: 82*34=2788, Resulting Numbers: [73, 59, 2788]
Generated Node #2: [73, 59, 2788] from Operation: 82*34=2788
Current State: 39:[73, 59, 2788], Operations: ['82*34=2788']
Exploring Operation: 59+2788=2847, Resulting Numbers: [73, 2847]
Generated Node #3: [73, 2847] from Operation: 59+2788=2847
Current State: 39:[73, 2847], Operations: ['82*34=2788', '59+2788=2847']
Exploring Operation: 2847/73=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4
|
Current State: 39:[82, 34, 73, 59], Operations: []
Exploring Operation: 82-34=48, Resulting Numbers: [73, 59, 48]
Generated Node #0,0: 39:[73, 59, 48] Operation: 82-34=48
Exploring Operation: 82-73=9, Resulting Numbers: [34, 59, 9]
Generated Node #0,1: 39:[34, 59, 9] Operation: 82-73=9
Exploring Operation: 82-59=23, Resulting Numbers: [34, 73, 23]
Generated Node #0,2: 39:[34, 73, 23] Operation: 82-59=23
Exploring Operation: 73-59=14, Resulting Numbers: [82, 34, 14]
Generated Node #0,3: 39:[82, 34, 14] Operation: 73-59=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 39:[34, 59, 9], Operations: ['82-73=9']
Exploring Operation: 59-9=50, Resulting Numbers: [34, 50]
Generated Node #0,1,0: 39:[34, 50] Operation: 59-9=50
Exploring Operation: 34+9=43, Resulting Numbers: [59, 43]
Generated Node #0,1,1: 39:[59, 43] Operation: 34+9=43
Exploring Operation: 59-34=25, Resulting Numbers: [9, 25]
Generated Node #0,1,2: 39:[9, 25] Operation: 59-34=25
Exploring Operation: 34-9=25, Resulting Numbers: [59, 25]
Generated Node #0,1,3: 39:[59, 25] Operation: 34-9=25
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 39:[34, 50], Operations: ['82-73=9', '59-9=50']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,39 unequal: No Solution
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 39:[9, 25], Operations: ['82-73=9', '59-34=25']
Exploring Operation: 9+25=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 9*25=225, Resulting Numbers: [225]
225,39 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 39:[59, 43], Operations: ['82-73=9', '34+9=43']
Exploring Operation: 59-43=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Exploring Operation: 59+43=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 59*43=2537, Resulting Numbers: [2537]
2537,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 39:[59, 25], Operations: ['82-73=9', '34-9=25']
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 59*25=1475, Resulting Numbers: [1475]
1475,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 39:[34, 73, 23], Operations: ['82-59=23']
Exploring Operation: 73-23=50, Resulting Numbers: [34, 50]
Generated Node #0,2,0: 39:[34, 50] Operation: 73-23=50
Exploring Operation: 34+23=57, Resulting Numbers: [73, 57]
Generated Node #0,2,1: 39:[73, 57] Operation: 34+23=57
Exploring Operation: 73-34=39, Resulting Numbers: [23, 39]
Generated Node #0,2,2: 39:[23, 39] Operation: 73-34=39
Exploring Operation: 34-23=11, Resulting Numbers: [73, 11]
Generated Node #0,2,3: 39:[73, 11] Operation: 34-23=11
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 39:[23, 39], Operations: ['82-59=23', '73-34=39']
Exploring Operation: 23*39=897, Resulting Numbers: [897]
897,39 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Exploring Operation: 23+39=62, Resulting Numbers: [62]
62,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 39:[34, 50], Operations: ['82-59=23', '73-23=50']
Exploring Operation: 34+50=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 34*50=1700, Resulting Numbers: [1700]
1700,39 unequal: No Solution
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 39:[73, 11], Operations: ['82-59=23', '34-23=11']
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,39 unequal: No Solution
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 39:[73, 57], Operations: ['82-59=23', '34+23=57']
Exploring Operation: 73-57=16, Resulting Numbers: [16]
16,39 unequal: No Solution
Exploring Operation: 73*57=4161, Resulting Numbers: [4161]
4161,39 unequal: No Solution
Exploring Operation: 73+57=130, Resulting Numbers: [130]
130,39 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 39:[82, 34, 14], Operations: ['73-59=14']
Exploring Operation: 82-34=48, Resulting Numbers: [14, 48]
Generated Node #0,3,0: 39:[14, 48] Operation: 82-34=48
Exploring Operation: 34+14=48, Resulting Numbers: [82, 48]
Generated Node #0,3,1: 39:[82, 48] Operation: 34+14=48
Exploring Operation: 34-14=20, Resulting Numbers: [82, 20]
Generated Node #0,3,2: 39:[82, 20] Operation: 34-14=20
Exploring Operation: 82-14=68, Resulting Numbers: [34, 68]
Generated Node #0,3,3: 39:[34, 68] Operation: 82-14=68
Moving to Node #0,3,0
Current State: 39:[14, 48], Operations: ['73-59=14', '82-34=48']
Exploring Operation: 14+48=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 14*48=672, Resulting Numbers: [672]
672,39 unequal: No Solution
Moving to Node #0,3,3
Current State: 39:[34, 68], Operations: ['73-59=14', '82-14=68']
Exploring Operation: 34+68=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 68-34=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 34*68=2312, Resulting Numbers: [2312]
2312,39 unequal: No Solution
Exploring Operation: 68/34=2, Resulting Numbers: [2]
2,39 unequal: No Solution
Moving to Node #0,3,2
Current State: 39:[82, 20], Operations: ['73-59=14', '34-14=20']
Exploring Operation: 82*20=1640, Resulting Numbers: [1640]
1640,39 unequal: No Solution
Exploring Operation: 82+20=102, Resulting Numbers: [102]
102,39 unequal: No Solution
Exploring Operation: 82-20=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Moving to Node #0,3,1
Current State: 39:[82, 48], Operations: ['73-59=14', '34+14=48']
Exploring Operation: 82*48=3936, Resulting Numbers: [3936]
3936,39 unequal: No Solution
Exploring Operation: 82-48=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 82+48=130, Resulting Numbers: [130]
130,39 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
Current State: 39:[73, 59, 48], Operations: ['82-34=48']
Exploring Operation: 73+59=132, Resulting Numbers: [48, 132]
Generated Node #0,0,0: 39:[48, 132] Operation: 73+59=132
Exploring Operation: 73-48=25, Resulting Numbers: [59, 25]
Generated Node #0,0,1: 39:[59, 25] Operation: 73-48=25
Exploring Operation: 59-48=11, Resulting Numbers: [73, 11]
Generated Node #0,0,2: 39:[73, 11] Operation: 59-48=11
Exploring Operation: 73-59=14, Resulting Numbers: [48, 14]
Generated Node #0,0,3: 39:[48, 14] Operation: 73-59=14
Moving to Node #0,0,3
Current State: 39:[48, 14], Operations: ['82-34=48', '73-59=14']
Exploring Operation: 48+14=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 48-14=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 48*14=672, Resulting Numbers: [672]
672,39 unequal: No Solution
Moving to Node #0,0,1
Current State: 39:[59, 25], Operations: ['82-34=48', '73-48=25']
Exploring Operation: 59*25=1475, Resulting Numbers: [1475]
1475,39 unequal: No Solution
Exploring Operation: 59-25=34, Resulting Numbers: [34]
34,39 unequal: No Solution
Exploring Operation: 59+25=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Moving to Node #0,0,2
Current State: 39:[73, 11], Operations: ['82-34=48', '59-48=11']
Exploring Operation: 73+11=84, Resulting Numbers: [84]
84,39 unequal: No Solution
Exploring Operation: 73-11=62, Resulting Numbers: [62]
62,39 unequal: No Solution
Exploring Operation: 73*11=803, Resulting Numbers: [803]
803,39 unequal: No Solution
Moving to Node #0,0,0
Current State: 39:[48, 132], Operations: ['82-34=48', '73+59=132']
Exploring Operation: 48*132=6336, Resulting Numbers: [6336]
6336,39 unequal: No Solution
Exploring Operation: 48+132=180, Resulting Numbers: [180]
180,39 unequal: No Solution
Exploring Operation: 132-48=84, Resulting Numbers: [84]
84,39 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
14,
3,
76,
83
] | 10
|
[
"14+3=17",
"83-76=7",
"17-7=10"
] |
Current State: 10:[14, 3, 76, 83], Operations: []
Exploring Operation: 14+3=17, Resulting Numbers: [76, 83, 17]
Generated Node #2: [76, 83, 17] from Operation: 14+3=17
Current State: 10:[76, 83, 17], Operations: ['14+3=17']
Exploring Operation: 83-76=7, Resulting Numbers: [17, 7]
Generated Node #3: [17, 7] from Operation: 83-76=7
Current State: 10:[17, 7], Operations: ['14+3=17', '83-76=7']
Exploring Operation: 17-7=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4
|
Current State: 10:[14, 3, 76, 83], Operations: []
Exploring Operation: 83-76=7, Resulting Numbers: [14, 3, 7]
Generated Node #0,0: 10:[14, 3, 7] Operation: 83-76=7
Start Sub Search at level 1: Moving to Node #0,0
Current State: 10:[14, 3, 7], Operations: ['83-76=7']
Exploring Operation: 14/7=2, Resulting Numbers: [3, 2]
Generated Node #0,0,0: 10:[3, 2] Operation: 14/7=2
Moving to Node #0,0,0
Current State: 10:[3, 2], Operations: ['83-76=7', '14/7=2']
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,10 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
|
[
68,
79,
40,
2
] | 68
|
[
"40*2=80",
"80-79=1",
"68*1=68"
] |
Current State: 68:[68, 79, 40, 2], Operations: []
Exploring Operation: 40*2=80, Resulting Numbers: [68, 79, 80]
Generated Node #2: [68, 79, 80] from Operation: 40*2=80
Current State: 68:[68, 79, 80], Operations: ['40*2=80']
Exploring Operation: 80-79=1, Resulting Numbers: [68, 1]
Generated Node #3: [68, 1] from Operation: 80-79=1
Current State: 68:[68, 1], Operations: ['40*2=80', '80-79=1']
Exploring Operation: 68*1=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4
|
Current State: 68:[68, 79, 40, 2], Operations: []
Exploring Operation: 79-40=39, Resulting Numbers: [68, 2, 39]
Generated Node #0,0: 68:[68, 2, 39] Operation: 79-40=39
Exploring Operation: 79-68=11, Resulting Numbers: [40, 2, 11]
Generated Node #0,1: 68:[40, 2, 11] Operation: 79-68=11
Start Sub Search at level 1: Moving to Node #0,0
Current State: 68:[68, 2, 39], Operations: ['79-40=39']
Exploring Operation: 68/2=34, Resulting Numbers: [39, 34]
Generated Node #0,0,0: 68:[39, 34] Operation: 68/2=34
Exploring Operation: 39-2=37, Resulting Numbers: [68, 37]
Generated Node #0,0,1: 68:[68, 37] Operation: 39-2=37
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 68:[68, 37], Operations: ['79-40=39', '39-2=37']
Exploring Operation: 68-37=31, Resulting Numbers: [31]
31,68 unequal: No Solution
Exploring Operation: 68+37=105, Resulting Numbers: [105]
105,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 68:[39, 34], Operations: ['79-40=39', '68/2=34']
Exploring Operation: 39-34=5, Resulting Numbers: [5]
5,68 unequal: No Solution
Exploring Operation: 39+34=73, Resulting Numbers: [73]
73,68 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 68:[40, 2, 11], Operations: ['79-68=11']
Exploring Operation: 40/2=20, Resulting Numbers: [11, 20]
Generated Node #0,1,0: 68:[11, 20] Operation: 40/2=20
Exploring Operation: 40-11=29, Resulting Numbers: [2, 29]
Generated Node #0,1,1: 68:[2, 29] Operation: 40-11=29
Moving to Node #0,1,1
Current State: 68:[2, 29], Operations: ['79-68=11', '40-11=29']
Exploring Operation: 2+29=31, Resulting Numbers: [31]
31,68 unequal: No Solution
Exploring Operation: 29-2=27, Resulting Numbers: [27]
27,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[11, 20], Operations: ['79-68=11', '40/2=20']
Exploring Operation: 11+20=31, Resulting Numbers: [31]
31,68 unequal: No Solution
Exploring Operation: 20-11=9, Resulting Numbers: [9]
9,68 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
|
[
55,
34,
20,
42
] | 67
|
[
"55+34=89",
"42-20=22",
"89-22=67"
] |
Current State: 67:[55, 34, 20, 42], Operations: []
Exploring Operation: 55+34=89, Resulting Numbers: [20, 42, 89]
Generated Node #2: [20, 42, 89] from Operation: 55+34=89
Current State: 67:[20, 42, 89], Operations: ['55+34=89']
Exploring Operation: 42-20=22, Resulting Numbers: [89, 22]
Generated Node #3: [89, 22] from Operation: 42-20=22
Current State: 67:[89, 22], Operations: ['55+34=89', '42-20=22']
Exploring Operation: 89-22=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4
|
Current State: 67:[55, 34, 20, 42], Operations: []
Exploring Operation: 34+20=54, Resulting Numbers: [55, 42, 54]
Generated Node #0,0: 67:[55, 42, 54] Operation: 34+20=54
Exploring Operation: 34+42=76, Resulting Numbers: [55, 20, 76]
Generated Node #0,1: 67:[55, 20, 76] Operation: 34+42=76
Exploring Operation: 20+42=62, Resulting Numbers: [55, 34, 62]
Generated Node #0,2: 67:[55, 34, 62] Operation: 20+42=62
Exploring Operation: 55+20=75, Resulting Numbers: [34, 42, 75]
Generated Node #0,3: 67:[34, 42, 75] Operation: 55+20=75
Moving to Node #0,0
Current State: 67:[55, 42, 54], Operations: ['34+20=54']
Exploring Operation: 55+54=109, Resulting Numbers: [42, 109]
Generated Node #0,0,0: 67:[42, 109] Operation: 55+54=109
Exploring Operation: 42+54=96, Resulting Numbers: [55, 96]
Generated Node #0,0,1: 67:[55, 96] Operation: 42+54=96
Exploring Operation: 55+42=97, Resulting Numbers: [54, 97]
Generated Node #0,0,2: 67:[54, 97] Operation: 55+42=97
Exploring Operation: 55-42=13, Resulting Numbers: [54, 13]
Generated Node #0,0,3: 67:[54, 13] Operation: 55-42=13
Moving to Node #0,2
Current State: 67:[55, 34, 62], Operations: ['20+42=62']
Exploring Operation: 62-34=28, Resulting Numbers: [55, 28]
Generated Node #0,2,0: 67:[55, 28] Operation: 62-34=28
Exploring Operation: 55-34=21, Resulting Numbers: [62, 21]
Generated Node #0,2,1: 67:[62, 21] Operation: 55-34=21
Exploring Operation: 34+62=96, Resulting Numbers: [55, 96]
Generated Node #0,2,2: 67:[55, 96] Operation: 34+62=96
Exploring Operation: 55+34=89, Resulting Numbers: [62, 89]
Generated Node #0,2,3: 67:[62, 89] Operation: 55+34=89
Moving to Node #0,3
Current State: 67:[34, 42, 75], Operations: ['55+20=75']
Exploring Operation: 34+75=109, Resulting Numbers: [42, 109]
Generated Node #0,3,0: 67:[42, 109] Operation: 34+75=109
Exploring Operation: 75-34=41, Resulting Numbers: [42, 41]
Generated Node #0,3,1: 67:[42, 41] Operation: 75-34=41
Exploring Operation: 34+42=76, Resulting Numbers: [75, 76]
Generated Node #0,3,2: 67:[75, 76] Operation: 34+42=76
Exploring Operation: 42-34=8, Resulting Numbers: [75, 8]
Generated Node #0,3,3: 67:[75, 8] Operation: 42-34=8
Moving to Node #0,1
Current State: 67:[55, 20, 76], Operations: ['34+42=76']
Exploring Operation: 55-20=35, Resulting Numbers: [76, 35]
Generated Node #0,1,0: 67:[76, 35] Operation: 55-20=35
Exploring Operation: 76-20=56, Resulting Numbers: [55, 56]
Generated Node #0,1,1: 67:[55, 56] Operation: 76-20=56
Exploring Operation: 55+20=75, Resulting Numbers: [76, 75]
Generated Node #0,1,2: 67:[76, 75] Operation: 55+20=75
Exploring Operation: 20+76=96, Resulting Numbers: [55, 96]
Generated Node #0,1,3: 67:[55, 96] Operation: 20+76=96
Moving to Node #0,3,2
Current State: 67:[75, 76], Operations: ['55+20=75', '34+42=76']
Exploring Operation: 75*76=5700, Resulting Numbers: [5700]
5700,67 unequal: No Solution
Exploring Operation: 75+76=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Moving to Node #0,1,2
Current State: 67:[76, 75], Operations: ['34+42=76', '55+20=75']
Exploring Operation: 76-75=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 76*75=5700, Resulting Numbers: [5700]
5700,67 unequal: No Solution
Exploring Operation: 76+75=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[55, 56], Operations: ['34+42=76', '76-20=56']
Exploring Operation: 56-55=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 55*56=3080, Resulting Numbers: [3080]
3080,67 unequal: No Solution
Exploring Operation: 55+56=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[62, 89], Operations: ['20+42=62', '55+34=89']
Exploring Operation: 62*89=5518, Resulting Numbers: [5518]
5518,67 unequal: No Solution
Exploring Operation: 62+89=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Exploring Operation: 89-62=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[76, 35], Operations: ['34+42=76', '55-20=35']
Exploring Operation: 76*35=2660, Resulting Numbers: [2660]
2660,67 unequal: No Solution
Exploring Operation: 76-35=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 76+35=111, Resulting Numbers: [111]
111,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[55, 96], Operations: ['20+42=62', '34+62=96']
Exploring Operation: 55+96=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 55*96=5280, Resulting Numbers: [5280]
5280,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[55, 96], Operations: ['34+20=54', '42+54=96']
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 55+96=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Exploring Operation: 55*96=5280, Resulting Numbers: [5280]
5280,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[55, 96], Operations: ['34+42=76', '20+76=96']
Exploring Operation: 96-55=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Exploring Operation: 55*96=5280, Resulting Numbers: [5280]
5280,67 unequal: No Solution
Exploring Operation: 55+96=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[54, 97], Operations: ['34+20=54', '55+42=97']
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,67 unequal: No Solution
Exploring Operation: 54*97=5238, Resulting Numbers: [5238]
5238,67 unequal: No Solution
Exploring Operation: 54+97=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[55, 28], Operations: ['20+42=62', '62-34=28']
Exploring Operation: 55*28=1540, Resulting Numbers: [1540]
1540,67 unequal: No Solution
Exploring Operation: 55+28=83, Resulting Numbers: [83]
83,67 unequal: No Solution
Exploring Operation: 55-28=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[42, 41], Operations: ['55+20=75', '75-34=41']
Exploring Operation: 42-41=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 42*41=1722, Resulting Numbers: [1722]
1722,67 unequal: No Solution
Exploring Operation: 42+41=83, Resulting Numbers: [83]
83,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[62, 21], Operations: ['20+42=62', '55-34=21']
Exploring Operation: 62+21=83, Resulting Numbers: [83]
83,67 unequal: No Solution
Exploring Operation: 62*21=1302, Resulting Numbers: [1302]
1302,67 unequal: No Solution
Exploring Operation: 62-21=41, Resulting Numbers: [41]
41,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[42, 109], Operations: ['34+20=54', '55+54=109']
Exploring Operation: 42+109=151, Resulting Numbers: [151]
151,67 unequal: No Solution
Exploring Operation: 42*109=4578, Resulting Numbers: [4578]
4578,67 unequal: No Solution
Exploring Operation: 109-42=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
Moving to Node #0
Current State: 67:[55, 34, 20, 42], Operations: []
Exploring Operation: 34+20=54, Resulting Numbers: [55, 42, 54]
Generated Node #0,0: 67:[55, 42, 54] Operation: 34+20=54
Moving to Node #0,0
Current State: 67:[55, 42, 54], Operations: ['34+20=54']
Exploring Operation: 55+54=109, Resulting Numbers: [42, 109]
Generated Node #0,0,0: 67:[42, 109] Operation: 55+54=109
Moving to Node #0,0,0
Current State: 67:[42, 109], Operations: ['34+20=54', '55+54=109']
Exploring Operation: 109-42=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 0.945313
|
hs_4
|
sum_heuristic
|
[
53,
78,
45,
36
] | 50
|
[
"53+78=131",
"45+36=81",
"131-81=50"
] |
Current State: 50:[53, 78, 45, 36], Operations: []
Exploring Operation: 53+78=131, Resulting Numbers: [45, 36, 131]
Generated Node #2: [45, 36, 131] from Operation: 53+78=131
Current State: 50:[45, 36, 131], Operations: ['53+78=131']
Exploring Operation: 45+36=81, Resulting Numbers: [131, 81]
Generated Node #3: [131, 81] from Operation: 45+36=81
Current State: 50:[131, 81], Operations: ['53+78=131', '45+36=81']
Exploring Operation: 131-81=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4
|
Current State: 50:[53, 78, 45, 36], Operations: []
Exploring Operation: 78-45=33, Resulting Numbers: [53, 36, 33]
Generated Node #0,0: 50:[53, 36, 33] Operation: 78-45=33
Exploring Operation: 78-53=25, Resulting Numbers: [45, 36, 25]
Generated Node #0,1: 50:[45, 36, 25] Operation: 78-53=25
Exploring Operation: 78-36=42, Resulting Numbers: [53, 45, 42]
Generated Node #0,2: 50:[53, 45, 42] Operation: 78-36=42
Start Sub Search at level 1: Moving to Node #0,1
Current State: 50:[45, 36, 25], Operations: ['78-53=25']
Exploring Operation: 45-25=20, Resulting Numbers: [36, 20]
Generated Node #0,1,0: 50:[36, 20] Operation: 45-25=20
Exploring Operation: 36-25=11, Resulting Numbers: [45, 11]
Generated Node #0,1,1: 50:[45, 11] Operation: 36-25=11
Exploring Operation: 45-36=9, Resulting Numbers: [25, 9]
Generated Node #0,1,2: 50:[25, 9] Operation: 45-36=9
Moving to Node #0,1,2
Current State: 50:[25, 9], Operations: ['78-53=25', '45-36=9']
Exploring Operation: 25+9=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 25*9=225, Resulting Numbers: [225]
225,50 unequal: No Solution
Exploring Operation: 25-9=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[45, 11], Operations: ['78-53=25', '36-25=11']
Exploring Operation: 45-11=34, Resulting Numbers: [34]
34,50 unequal: No Solution
Exploring Operation: 45*11=495, Resulting Numbers: [495]
495,50 unequal: No Solution
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[36, 20], Operations: ['78-53=25', '45-25=20']
Exploring Operation: 36-20=16, Resulting Numbers: [16]
16,50 unequal: No Solution
Exploring Operation: 36*20=720, Resulting Numbers: [720]
720,50 unequal: No Solution
Exploring Operation: 36+20=56, Resulting Numbers: [56]
56,50 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 50:[53, 45, 42], Operations: ['78-36=42']
Exploring Operation: 45-42=3, Resulting Numbers: [53, 3]
Generated Node #0,2,0: 50:[53, 3] Operation: 45-42=3
Exploring Operation: 53-42=11, Resulting Numbers: [45, 11]
Generated Node #0,2,1: 50:[45, 11] Operation: 53-42=11
Exploring Operation: 53-45=8, Resulting Numbers: [42, 8]
Generated Node #0,2,2: 50:[42, 8] Operation: 53-45=8
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 50:[53, 3], Operations: ['78-36=42', '45-42=3']
Exploring Operation: 53*3=159, Resulting Numbers: [159]
159,50 unequal: No Solution
Exploring Operation: 53+3=56, Resulting Numbers: [56]
56,50 unequal: No Solution
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Moving to Node #0
Current State: 50:[53, 78, 45, 36], Operations: []
Exploring Operation: 78-36=42, Resulting Numbers: [53, 45, 42]
Generated Node #0,2: 50:[53, 45, 42] Operation: 78-36=42
Moving to Node #0,2
Current State: 50:[53, 45, 42], Operations: ['78-36=42']
Exploring Operation: 45-42=3, Resulting Numbers: [53, 3]
Generated Node #0,2,0: 50:[53, 3] Operation: 45-42=3
Moving to Node #0,2,0
Current State: 50:[53, 3], Operations: ['78-36=42', '45-42=3']
Exploring Operation: 53-3=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.978299
|
hs_3
|
sum_heuristic
|
[
21,
2,
41,
4
] | 56
|
[
"21-2=19",
"41-4=37",
"19+37=56"
] |
Current State: 56:[21, 2, 41, 4], Operations: []
Exploring Operation: 21-2=19, Resulting Numbers: [41, 4, 19]
Generated Node #2: [41, 4, 19] from Operation: 21-2=19
Current State: 56:[41, 4, 19], Operations: ['21-2=19']
Exploring Operation: 41-4=37, Resulting Numbers: [19, 37]
Generated Node #3: [19, 37] from Operation: 41-4=37
Current State: 56:[19, 37], Operations: ['21-2=19', '41-4=37']
Exploring Operation: 19+37=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[21, 2, 41, 4], Operations: []
Exploring Operation: 41-21=20, Resulting Numbers: [2, 4, 20]
Generated Node #0,0: 56:[2, 4, 20] Operation: 41-21=20
Exploring Operation: 21+41=62, Resulting Numbers: [2, 4, 62]
Generated Node #0,1: 56:[2, 4, 62] Operation: 21+41=62
Exploring Operation: 41-4=37, Resulting Numbers: [21, 2, 37]
Generated Node #0,2: 56:[21, 2, 37] Operation: 41-4=37
Exploring Operation: 21-4=17, Resulting Numbers: [2, 41, 17]
Generated Node #0,3: 56:[2, 41, 17] Operation: 21-4=17
Exploring Operation: 21+4=25, Resulting Numbers: [2, 41, 25]
Generated Node #0,4: 56:[2, 41, 25] Operation: 21+4=25
Start Sub Search at level 1: Moving to Node #0,0
Current State: 56:[2, 4, 20], Operations: ['41-21=20']
Exploring Operation: 4+20=24, Resulting Numbers: [2, 24]
Generated Node #0,0,0: 56:[2, 24] Operation: 4+20=24
Exploring Operation: 20/2=10, Resulting Numbers: [4, 10]
Generated Node #0,0,1: 56:[4, 10] Operation: 20/2=10
Exploring Operation: 20-4=16, Resulting Numbers: [2, 16]
Generated Node #0,0,2: 56:[2, 16] Operation: 20-4=16
Exploring Operation: 20-2=18, Resulting Numbers: [4, 18]
Generated Node #0,0,3: 56:[4, 18] Operation: 20-2=18
Exploring Operation: 20/4=5, Resulting Numbers: [2, 5]
Generated Node #0,0,4: 56:[2, 5] Operation: 20/4=5
Moving to Node #0,0,4
Current State: 56:[2, 5], Operations: ['41-21=20', '20/4=5']
Exploring Operation: 2+5=7, Resulting Numbers: [7]
7,56 unequal: No Solution
Exploring Operation: 2*5=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Moving to Node #0,0,2
Current State: 56:[2, 16], Operations: ['41-21=20', '20-4=16']
Exploring Operation: 2*16=32, Resulting Numbers: [32]
32,56 unequal: No Solution
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 2+16=18, Resulting Numbers: [18]
18,56 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[4, 10], Operations: ['41-21=20', '20/2=10']
Exploring Operation: 4+10=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,56 unequal: No Solution
Exploring Operation: 10-4=6, Resulting Numbers: [6]
6,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[2, 24], Operations: ['41-21=20', '4+20=24']
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,56 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,56 unequal: No Solution
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[4, 18], Operations: ['41-21=20', '20-2=18']
Exploring Operation: 18-4=14, Resulting Numbers: [14]
14,56 unequal: No Solution
Exploring Operation: 4*18=72, Resulting Numbers: [72]
72,56 unequal: No Solution
Exploring Operation: 4+18=22, Resulting Numbers: [22]
22,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 56:[2, 4, 62], Operations: ['21+41=62']
Exploring Operation: 62-2=60, Resulting Numbers: [4, 60]
Generated Node #0,1,0: 56:[4, 60] Operation: 62-2=60
Exploring Operation: 2*4=8, Resulting Numbers: [62, 8]
Generated Node #0,1,1: 56:[62, 8] Operation: 2*4=8
Exploring Operation: 62/2=31, Resulting Numbers: [4, 31]
Generated Node #0,1,2: 56:[4, 31] Operation: 62/2=31
Exploring Operation: 4-2=2, Resulting Numbers: [62, 2]
Generated Node #0,1,3: 56:[62, 2] Operation: 4-2=2
Exploring Operation: 62-4=58, Resulting Numbers: [2, 58]
Generated Node #0,1,4: 56:[2, 58] Operation: 62-4=58
Start Sub Search at level 2: Moving to Node #0,1,4
Current State: 56:[2, 58], Operations: ['21+41=62', '62-4=58']
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[21, 2, 41, 4], Operations: []
Exploring Operation: 21+41=62, Resulting Numbers: [2, 4, 62]
Generated Node #0,1: 56:[2, 4, 62] Operation: 21+41=62
Moving to Node #0,1
Current State: 56:[2, 4, 62], Operations: ['21+41=62']
Exploring Operation: 62-4=58, Resulting Numbers: [2, 58]
Generated Node #0,1,4: 56:[2, 58] Operation: 62-4=58
Moving to Node #0,1,4
Current State: 56:[2, 58], Operations: ['21+41=62', '62-4=58']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.967014
|
hs_5
|
mult_heuristic
|
[
20,
27,
70,
34
] | 11
|
[
"20+27=47",
"70-34=36",
"47-36=11"
] |
Current State: 11:[20, 27, 70, 34], Operations: []
Exploring Operation: 20+27=47, Resulting Numbers: [70, 34, 47]
Generated Node #2: [70, 34, 47] from Operation: 20+27=47
Current State: 11:[70, 34, 47], Operations: ['20+27=47']
Exploring Operation: 70-34=36, Resulting Numbers: [47, 36]
Generated Node #3: [47, 36] from Operation: 70-34=36
Current State: 11:[47, 36], Operations: ['20+27=47', '70-34=36']
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4
|
Current State: 11:[20, 27, 70, 34], Operations: []
Exploring Operation: 70-27=43, Resulting Numbers: [20, 34, 43]
Generated Node #0,0: 11:[20, 34, 43] Operation: 70-27=43
Exploring Operation: 34-27=7, Resulting Numbers: [20, 70, 7]
Generated Node #0,1: 11:[20, 70, 7] Operation: 34-27=7
Exploring Operation: 34-20=14, Resulting Numbers: [27, 70, 14]
Generated Node #0,2: 11:[27, 70, 14] Operation: 34-20=14
Exploring Operation: 70-20=50, Resulting Numbers: [27, 34, 50]
Generated Node #0,3: 11:[27, 34, 50] Operation: 70-20=50
Exploring Operation: 70-34=36, Resulting Numbers: [20, 27, 36]
Generated Node #0,4: 11:[20, 27, 36] Operation: 70-34=36
Start Sub Search at level 1: Moving to Node #0,4
Current State: 11:[20, 27, 36], Operations: ['70-34=36']
Exploring Operation: 27-20=7, Resulting Numbers: [36, 7]
Generated Node #0,4,0: 11:[36, 7] Operation: 27-20=7
Exploring Operation: 36-20=16, Resulting Numbers: [27, 16]
Generated Node #0,4,1: 11:[27, 16] Operation: 36-20=16
Exploring Operation: 20+27=47, Resulting Numbers: [36, 47]
Generated Node #0,4,2: 11:[36, 47] Operation: 20+27=47
Exploring Operation: 36-27=9, Resulting Numbers: [20, 9]
Generated Node #0,4,3: 11:[20, 9] Operation: 36-27=9
Exploring Operation: 20+36=56, Resulting Numbers: [27, 56]
Generated Node #0,4,4: 11:[27, 56] Operation: 20+36=56
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 11:[20, 9], Operations: ['70-34=36', '36-27=9']
Exploring Operation: 20*9=180, Resulting Numbers: [180]
180,11 unequal: No Solution
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Moving to Node #0
Current State: 11:[20, 27, 70, 34], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [20, 27, 36]
Generated Node #0,4: 11:[20, 27, 36] Operation: 70-34=36
Moving to Node #0,4
Current State: 11:[20, 27, 36], Operations: ['70-34=36']
Exploring Operation: 36-27=9, Resulting Numbers: [20, 9]
Generated Node #0,4,3: 11:[20, 9] Operation: 36-27=9
Moving to Node #0,4,3
Current State: 11:[20, 9], Operations: ['70-34=36', '36-27=9']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
mult_heuristic
|
[
84,
29,
65,
51
] | 35
|
[
"65-51=14",
"84/14=6",
"29+6=35"
] |
Current State: 35:[84, 29, 65, 51], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [84, 29, 14]
Generated Node #2: [84, 29, 14] from Operation: 65-51=14
Current State: 35:[84, 29, 14], Operations: ['65-51=14']
Exploring Operation: 84/14=6, Resulting Numbers: [29, 6]
Generated Node #3: [29, 6] from Operation: 84/14=6
Current State: 35:[29, 6], Operations: ['65-51=14', '84/14=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[84, 29, 65, 51], Operations: []
Exploring Operation: 84-29=55, Resulting Numbers: [65, 51, 55]
Generated Node #0,0: 35:[65, 51, 55] Operation: 84-29=55
Exploring Operation: 84-51=33, Resulting Numbers: [29, 65, 33]
Generated Node #0,1: 35:[29, 65, 33] Operation: 84-51=33
Exploring Operation: 84-65=19, Resulting Numbers: [29, 51, 19]
Generated Node #0,2: 35:[29, 51, 19] Operation: 84-65=19
Exploring Operation: 65-51=14, Resulting Numbers: [84, 29, 14]
Generated Node #0,3: 35:[84, 29, 14] Operation: 65-51=14
Moving to Node #0,2
Current State: 35:[29, 51, 19], Operations: ['84-65=19']
Exploring Operation: 29-19=10, Resulting Numbers: [51, 10]
Generated Node #0,2,0: 35:[51, 10] Operation: 29-19=10
Exploring Operation: 51-19=32, Resulting Numbers: [29, 32]
Generated Node #0,2,1: 35:[29, 32] Operation: 51-19=32
Exploring Operation: 29+19=48, Resulting Numbers: [51, 48]
Generated Node #0,2,2: 35:[51, 48] Operation: 29+19=48
Exploring Operation: 51-29=22, Resulting Numbers: [19, 22]
Generated Node #0,2,3: 35:[19, 22] Operation: 51-29=22
Moving to Node #0,1
Current State: 35:[29, 65, 33], Operations: ['84-51=33']
Exploring Operation: 65-33=32, Resulting Numbers: [29, 32]
Generated Node #0,1,0: 35:[29, 32] Operation: 65-33=32
Exploring Operation: 33-29=4, Resulting Numbers: [65, 4]
Generated Node #0,1,1: 35:[65, 4] Operation: 33-29=4
Exploring Operation: 29+33=62, Resulting Numbers: [65, 62]
Generated Node #0,1,2: 35:[65, 62] Operation: 29+33=62
Exploring Operation: 65-29=36, Resulting Numbers: [33, 36]
Generated Node #0,1,3: 35:[33, 36] Operation: 65-29=36
Moving to Node #0,3
Current State: 35:[84, 29, 14], Operations: ['65-51=14']
Exploring Operation: 84-29=55, Resulting Numbers: [14, 55]
Generated Node #0,3,0: 35:[14, 55] Operation: 84-29=55
Exploring Operation: 84-14=70, Resulting Numbers: [29, 70]
Generated Node #0,3,1: 35:[29, 70] Operation: 84-14=70
Exploring Operation: 29+14=43, Resulting Numbers: [84, 43]
Generated Node #0,3,2: 35:[84, 43] Operation: 29+14=43
Exploring Operation: 84/14=6, Resulting Numbers: [29, 6]
Generated Node #0,3,3: 35:[29, 6] Operation: 84/14=6
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 35:[29, 6], Operations: ['65-51=14', '84/14=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[84, 29, 65, 51], Operations: []
Exploring Operation: 65-51=14, Resulting Numbers: [84, 29, 14]
Generated Node #0,3: 35:[84, 29, 14] Operation: 65-51=14
Moving to Node #0,3
Current State: 35:[84, 29, 14], Operations: ['65-51=14']
Exploring Operation: 84/14=6, Resulting Numbers: [29, 6]
Generated Node #0,3,3: 35:[29, 6] Operation: 84/14=6
Moving to Node #0,3,3
Current State: 35:[29, 6], Operations: ['65-51=14', '84/14=6']
Exploring Operation: 29+6=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771
|
hs_4
|
sum_heuristic
|
[
66,
19,
15,
6
] | 18
|
[
"66+6=72",
"19-15=4",
"72/4=18"
] |
Current State: 18:[66, 19, 15, 6], Operations: []
Exploring Operation: 66+6=72, Resulting Numbers: [19, 15, 72]
Generated Node #2: [19, 15, 72] from Operation: 66+6=72
Current State: 18:[19, 15, 72], Operations: ['66+6=72']
Exploring Operation: 19-15=4, Resulting Numbers: [72, 4]
Generated Node #3: [72, 4] from Operation: 19-15=4
Current State: 18:[72, 4], Operations: ['66+6=72', '19-15=4']
Exploring Operation: 72/4=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4
|
Current State: 18:[66, 19, 15, 6], Operations: []
Exploring Operation: 66/6=11, Resulting Numbers: [19, 15, 11]
Generated Node #0,0: 18:[19, 15, 11] Operation: 66/6=11
Moving to Node #0,0
Current State: 18:[19, 15, 11], Operations: ['66/6=11']
Exploring Operation: 15-11=4, Resulting Numbers: [19, 4]
Generated Node #0,0,0: 18:[19, 4] Operation: 15-11=4
Moving to Node #0,0,0
Current State: 18:[19, 4], Operations: ['66/6=11', '15-11=4']
Exploring Operation: 19-4=15, Resulting Numbers: [15]
15,18 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
75,
46,
6,
43
] | 78
|
[
"75-46=29",
"6+43=49",
"29+49=78"
] |
Current State: 78:[75, 46, 6, 43], Operations: []
Exploring Operation: 75-46=29, Resulting Numbers: [6, 43, 29]
Generated Node #2: [6, 43, 29] from Operation: 75-46=29
Current State: 78:[6, 43, 29], Operations: ['75-46=29']
Exploring Operation: 6+43=49, Resulting Numbers: [29, 49]
Generated Node #3: [29, 49] from Operation: 6+43=49
Current State: 78:[29, 49], Operations: ['75-46=29', '6+43=49']
Exploring Operation: 29+49=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4
|
Current State: 78:[75, 46, 6, 43], Operations: []
Exploring Operation: 46-43=3, Resulting Numbers: [75, 6, 3]
Generated Node #0,0: 78:[75, 6, 3] Operation: 46-43=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 78:[75, 6, 3], Operations: ['46-43=3']
Exploring Operation: 75+3=78, Resulting Numbers: [6, 78]
Generated Node #0,0,0: 78:[6, 78] Operation: 75+3=78
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 78:[6, 78], Operations: ['46-43=3', '75+3=78']
Exploring Operation: 78/6=13, Resulting Numbers: [13]
13,78 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
68,
3,
79,
13
] | 86
|
[
"68-13=55",
"3*55=165",
"165-79=86"
] |
Current State: 86:[68, 3, 79, 13], Operations: []
Exploring Operation: 68-13=55, Resulting Numbers: [3, 79, 55]
Generated Node #2: [3, 79, 55] from Operation: 68-13=55
Current State: 86:[3, 79, 55], Operations: ['68-13=55']
Exploring Operation: 3*55=165, Resulting Numbers: [79, 165]
Generated Node #3: [79, 165] from Operation: 3*55=165
Current State: 86:[79, 165], Operations: ['68-13=55', '3*55=165']
Exploring Operation: 165-79=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[68, 3, 79, 13], Operations: []
Exploring Operation: 68-13=55, Resulting Numbers: [3, 79, 55]
Generated Node #0,0: 86:[3, 79, 55] Operation: 68-13=55
Exploring Operation: 68+13=81, Resulting Numbers: [3, 79, 81]
Generated Node #0,1: 86:[3, 79, 81] Operation: 68+13=81
Exploring Operation: 79-68=11, Resulting Numbers: [3, 13, 11]
Generated Node #0,2: 86:[3, 13, 11] Operation: 79-68=11
Start Sub Search at level 1: Moving to Node #0,1
Current State: 86:[3, 79, 81], Operations: ['68+13=81']
Exploring Operation: 81-79=2, Resulting Numbers: [3, 2]
Generated Node #0,1,0: 86:[3, 2] Operation: 81-79=2
Exploring Operation: 3+79=82, Resulting Numbers: [81, 82]
Generated Node #0,1,1: 86:[81, 82] Operation: 3+79=82
Exploring Operation: 3+81=84, Resulting Numbers: [79, 84]
Generated Node #0,1,2: 86:[79, 84] Operation: 3+81=84
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 86:[3, 2], Operations: ['68+13=81', '81-79=2']
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 86:[81, 82], Operations: ['68+13=81', '3+79=82']
Exploring Operation: 81*82=6642, Resulting Numbers: [6642]
6642,86 unequal: No Solution
Exploring Operation: 81+82=163, Resulting Numbers: [163]
163,86 unequal: No Solution
Exploring Operation: 82-81=1, Resulting Numbers: [1]
1,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 86:[79, 84], Operations: ['68+13=81', '3+81=84']
Exploring Operation: 79+84=163, Resulting Numbers: [163]
163,86 unequal: No Solution
Exploring Operation: 79*84=6636, Resulting Numbers: [6636]
6636,86 unequal: No Solution
Exploring Operation: 84-79=5, Resulting Numbers: [5]
5,86 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 86:[3, 79, 55], Operations: ['68-13=55']
Exploring Operation: 79-55=24, Resulting Numbers: [3, 24]
Generated Node #0,0,0: 86:[3, 24] Operation: 79-55=24
Exploring Operation: 55-3=52, Resulting Numbers: [79, 52]
Generated Node #0,0,1: 86:[79, 52] Operation: 55-3=52
Exploring Operation: 3+79=82, Resulting Numbers: [55, 82]
Generated Node #0,0,2: 86:[55, 82] Operation: 3+79=82
Moving to Node #0,0,1
Current State: 86:[79, 52], Operations: ['68-13=55', '55-3=52']
Exploring Operation: 79*52=4108, Resulting Numbers: [4108]
4108,86 unequal: No Solution
Exploring Operation: 79+52=131, Resulting Numbers: [131]
131,86 unequal: No Solution
Exploring Operation: 79-52=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Moving to Node #0,0,2
Current State: 86:[55, 82], Operations: ['68-13=55', '3+79=82']
Exploring Operation: 55+82=137, Resulting Numbers: [137]
137,86 unequal: No Solution
Exploring Operation: 55*82=4510, Resulting Numbers: [4510]
4510,86 unequal: No Solution
Exploring Operation: 82-55=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[3, 24], Operations: ['68-13=55', '79-55=24']
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,86 unequal: No Solution
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,86 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 86:[3, 13, 11], Operations: ['79-68=11']
Exploring Operation: 13-3=10, Resulting Numbers: [11, 10]
Generated Node #0,2,0: 86:[11, 10] Operation: 13-3=10
Exploring Operation: 13-11=2, Resulting Numbers: [3, 2]
Generated Node #0,2,1: 86:[3, 2] Operation: 13-11=2
Exploring Operation: 3*13=39, Resulting Numbers: [11, 39]
Generated Node #0,2,2: 86:[11, 39] Operation: 3*13=39
Moving to Node #0,2,1
Current State: 86:[3, 2], Operations: ['79-68=11', '13-11=2']
Exploring Operation: 3-2=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 3+2=5, Resulting Numbers: [5]
5,86 unequal: No Solution
Exploring Operation: 3*2=6, Resulting Numbers: [6]
6,86 unequal: No Solution
Moving to Node #0,2,2
Current State: 86:[11, 39], Operations: ['79-68=11', '3*13=39']
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 11*39=429, Resulting Numbers: [429]
429,86 unequal: No Solution
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[11, 10], Operations: ['79-68=11', '13-3=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Exploring Operation: 11-10=1, Resulting Numbers: [1]
1,86 unequal: No Solution
Exploring Operation: 11*10=110, Resulting Numbers: [110]
110,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
32,
28,
45,
6
] | 47
|
[
"32-28=4",
"45+6=51",
"51-4=47"
] |
Current State: 47:[32, 28, 45, 6], Operations: []
Exploring Operation: 32-28=4, Resulting Numbers: [45, 6, 4]
Generated Node #2: [45, 6, 4] from Operation: 32-28=4
Current State: 47:[45, 6, 4], Operations: ['32-28=4']
Exploring Operation: 45+6=51, Resulting Numbers: [4, 51]
Generated Node #3: [4, 51] from Operation: 45+6=51
Current State: 47:[4, 51], Operations: ['32-28=4', '45+6=51']
Exploring Operation: 51-4=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4
|
Current State: 47:[32, 28, 45, 6], Operations: []
Exploring Operation: 28+6=34, Resulting Numbers: [32, 45, 34]
Generated Node #0,0: 47:[32, 45, 34] Operation: 28+6=34
Exploring Operation: 45+6=51, Resulting Numbers: [32, 28, 51]
Generated Node #0,1: 47:[32, 28, 51] Operation: 45+6=51
Exploring Operation: 32-6=26, Resulting Numbers: [28, 45, 26]
Generated Node #0,2: 47:[28, 45, 26] Operation: 32-6=26
Exploring Operation: 28-6=22, Resulting Numbers: [32, 45, 22]
Generated Node #0,3: 47:[32, 45, 22] Operation: 28-6=22
Exploring Operation: 32+6=38, Resulting Numbers: [28, 45, 38]
Generated Node #0,4: 47:[28, 45, 38] Operation: 32+6=38
Moving to Node #0,0
Current State: 47:[32, 45, 34], Operations: ['28+6=34']
Exploring Operation: 34-32=2, Resulting Numbers: [45, 2]
Generated Node #0,0,0: 47:[45, 2] Operation: 34-32=2
Exploring Operation: 32+45=77, Resulting Numbers: [34, 77]
Generated Node #0,0,1: 47:[34, 77] Operation: 32+45=77
Exploring Operation: 45-32=13, Resulting Numbers: [34, 13]
Generated Node #0,0,2: 47:[34, 13] Operation: 45-32=13
Exploring Operation: 45+34=79, Resulting Numbers: [32, 79]
Generated Node #0,0,3: 47:[32, 79] Operation: 45+34=79
Exploring Operation: 32+34=66, Resulting Numbers: [45, 66]
Generated Node #0,0,4: 47:[45, 66] Operation: 32+34=66
Moving to Node #0,4
Current State: 47:[28, 45, 38], Operations: ['32+6=38']
Exploring Operation: 45+38=83, Resulting Numbers: [28, 83]
Generated Node #0,4,0: 47:[28, 83] Operation: 45+38=83
Exploring Operation: 28+38=66, Resulting Numbers: [45, 66]
Generated Node #0,4,1: 47:[45, 66] Operation: 28+38=66
Exploring Operation: 38-28=10, Resulting Numbers: [45, 10]
Generated Node #0,4,2: 47:[45, 10] Operation: 38-28=10
Exploring Operation: 45-28=17, Resulting Numbers: [38, 17]
Generated Node #0,4,3: 47:[38, 17] Operation: 45-28=17
Exploring Operation: 28+45=73, Resulting Numbers: [38, 73]
Generated Node #0,4,4: 47:[38, 73] Operation: 28+45=73
Moving to Node #0,1
Current State: 47:[32, 28, 51], Operations: ['45+6=51']
Exploring Operation: 28+51=79, Resulting Numbers: [32, 79]
Generated Node #0,1,0: 47:[32, 79] Operation: 28+51=79
Exploring Operation: 32+28=60, Resulting Numbers: [51, 60]
Generated Node #0,1,1: 47:[51, 60] Operation: 32+28=60
Exploring Operation: 51-28=23, Resulting Numbers: [32, 23]
Generated Node #0,1,2: 47:[32, 23] Operation: 51-28=23
Exploring Operation: 32-28=4, Resulting Numbers: [51, 4]
Generated Node #0,1,3: 47:[51, 4] Operation: 32-28=4
Exploring Operation: 51-32=19, Resulting Numbers: [28, 19]
Generated Node #0,1,4: 47:[28, 19] Operation: 51-32=19
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 47:[51, 60], Operations: ['45+6=51', '32+28=60']
Exploring Operation: 51*60=3060, Resulting Numbers: [3060]
3060,47 unequal: No Solution
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 47:[32, 23], Operations: ['45+6=51', '51-28=23']
Exploring Operation: 32-23=9, Resulting Numbers: [9]
9,47 unequal: No Solution
Exploring Operation: 32*23=736, Resulting Numbers: [736]
736,47 unequal: No Solution
Exploring Operation: 32+23=55, Resulting Numbers: [55]
55,47 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 47:[32, 79], Operations: ['45+6=51', '28+51=79']
Exploring Operation: 32+79=111, Resulting Numbers: [111]
111,47 unequal: No Solution
Exploring Operation: 32*79=2528, Resulting Numbers: [2528]
2528,47 unequal: No Solution
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Moving to Node #0
Current State: 47:[32, 28, 45, 6], Operations: []
Exploring Operation: 45+6=51, Resulting Numbers: [32, 28, 51]
Generated Node #0,1: 47:[32, 28, 51] Operation: 45+6=51
Moving to Node #0,1
Current State: 47:[32, 28, 51], Operations: ['45+6=51']
Exploring Operation: 28+51=79, Resulting Numbers: [32, 79]
Generated Node #0,1,0: 47:[32, 79] Operation: 28+51=79
Moving to Node #0,1,0
Current State: 47:[32, 79], Operations: ['45+6=51', '28+51=79']
Exploring Operation: 79-32=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
Exit Sub Search at level 1
| 0.971354
|
hs_5
|
sum_heuristic
|
[
74,
36,
19,
38
] | 92
|
[
"36*19=684",
"684/38=18",
"74+18=92"
] |
Current State: 92:[74, 36, 19, 38], Operations: []
Exploring Operation: 36*19=684, Resulting Numbers: [74, 38, 684]
Generated Node #2: [74, 38, 684] from Operation: 36*19=684
Current State: 92:[74, 38, 684], Operations: ['36*19=684']
Exploring Operation: 684/38=18, Resulting Numbers: [74, 18]
Generated Node #3: [74, 18] from Operation: 684/38=18
Current State: 92:[74, 18], Operations: ['36*19=684', '684/38=18']
Exploring Operation: 74+18=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[74, 36, 19, 38], Operations: []
Exploring Operation: 74+19=93, Resulting Numbers: [36, 38, 93]
Generated Node #0,0: 92:[36, 38, 93] Operation: 74+19=93
Exploring Operation: 74-36=38, Resulting Numbers: [19, 38, 38]
Generated Node #0,1: 92:[19, 38, 38] Operation: 74-36=38
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[36, 38, 93], Operations: ['74+19=93']
Exploring Operation: 38-36=2, Resulting Numbers: [93, 2]
Generated Node #0,0,0: 92:[93, 2] Operation: 38-36=2
Exploring Operation: 36+38=74, Resulting Numbers: [93, 74]
Generated Node #0,0,1: 92:[93, 74] Operation: 36+38=74
Moving to Node #0,0,0
Current State: 92:[93, 2], Operations: ['74+19=93', '38-36=2']
Exploring Operation: 93-2=91, Resulting Numbers: [91]
91,92 unequal: No Solution
Exploring Operation: 93+2=95, Resulting Numbers: [95]
95,92 unequal: No Solution
Moving to Node #0,0,1
Current State: 92:[93, 74], Operations: ['74+19=93', '36+38=74']
Exploring Operation: 93+74=167, Resulting Numbers: [167]
167,92 unequal: No Solution
Exploring Operation: 93-74=19, Resulting Numbers: [19]
19,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[19, 38, 38], Operations: ['74-36=38']
Exploring Operation: 38-38=0, Resulting Numbers: [19, 0]
Generated Node #0,1,0: 92:[19, 0] Operation: 38-38=0
Exploring Operation: 38/38=1, Resulting Numbers: [19, 1]
Generated Node #0,1,1: 92:[19, 1] Operation: 38/38=1
Moving to Node #0,1,1
Current State: 92:[19, 1], Operations: ['74-36=38', '38/38=1']
Exploring Operation: 19+1=20, Resulting Numbers: [20]
20,92 unequal: No Solution
Exploring Operation: 19*1=19, Resulting Numbers: [19]
19,92 unequal: No Solution
Moving to Node #0,1,0
Current State: 92:[19, 0], Operations: ['74-36=38', '38-38=0']
Exploring Operation: 19*0=0, Resulting Numbers: [0]
0,92 unequal: No Solution
Exploring Operation: 19+0=19, Resulting Numbers: [19]
19,92 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
|
[
38,
27,
10,
4
] | 17
|
[
"38-27=11",
"10-4=6",
"11+6=17"
] |
Current State: 17:[38, 27, 10, 4], Operations: []
Exploring Operation: 38-27=11, Resulting Numbers: [10, 4, 11]
Generated Node #2: [10, 4, 11] from Operation: 38-27=11
Current State: 17:[10, 4, 11], Operations: ['38-27=11']
Exploring Operation: 10-4=6, Resulting Numbers: [11, 6]
Generated Node #3: [11, 6] from Operation: 10-4=6
Current State: 17:[11, 6], Operations: ['38-27=11', '10-4=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[38, 27, 10, 4], Operations: []
Exploring Operation: 38-10=28, Resulting Numbers: [27, 4, 28]
Generated Node #0,0: 17:[27, 4, 28] Operation: 38-10=28
Exploring Operation: 38-4=34, Resulting Numbers: [27, 10, 34]
Generated Node #0,1: 17:[27, 10, 34] Operation: 38-4=34
Exploring Operation: 38-27=11, Resulting Numbers: [10, 4, 11]
Generated Node #0,2: 17:[10, 4, 11] Operation: 38-27=11
Exploring Operation: 27-4=23, Resulting Numbers: [38, 10, 23]
Generated Node #0,3: 17:[38, 10, 23] Operation: 27-4=23
Exploring Operation: 27-10=17, Resulting Numbers: [38, 4, 17]
Generated Node #0,4: 17:[38, 4, 17] Operation: 27-10=17
Start Sub Search at level 1: Moving to Node #0,2
Current State: 17:[10, 4, 11], Operations: ['38-27=11']
Exploring Operation: 10-4=6, Resulting Numbers: [11, 6]
Generated Node #0,2,0: 17:[11, 6] Operation: 10-4=6
Exploring Operation: 11-4=7, Resulting Numbers: [10, 7]
Generated Node #0,2,1: 17:[10, 7] Operation: 11-4=7
Exploring Operation: 4+11=15, Resulting Numbers: [10, 15]
Generated Node #0,2,2: 17:[10, 15] Operation: 4+11=15
Exploring Operation: 10+11=21, Resulting Numbers: [4, 21]
Generated Node #0,2,3: 17:[4, 21] Operation: 10+11=21
Exploring Operation: 10+4=14, Resulting Numbers: [11, 14]
Generated Node #0,2,4: 17:[11, 14] Operation: 10+4=14
Moving to Node #0,2,2
Current State: 17:[10, 15], Operations: ['38-27=11', '4+11=15']
Exploring Operation: 10+15=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Exploring Operation: 10*15=150, Resulting Numbers: [150]
150,17 unequal: No Solution
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Moving to Node #0,2,4
Current State: 17:[11, 14], Operations: ['38-27=11', '10+4=14']
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,17 unequal: No Solution
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,17 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,17 unequal: No Solution
Moving to Node #0,2,0
Current State: 17:[11, 6], Operations: ['38-27=11', '10-4=6']
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,17 unequal: No Solution
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[38, 27, 10, 4], Operations: []
Exploring Operation: 38-27=11, Resulting Numbers: [10, 4, 11]
Generated Node #0,2: 17:[10, 4, 11] Operation: 38-27=11
Moving to Node #0,2
Current State: 17:[10, 4, 11], Operations: ['38-27=11']
Exploring Operation: 10-4=6, Resulting Numbers: [11, 6]
Generated Node #0,2,0: 17:[11, 6] Operation: 10-4=6
Moving to Node #0,2,0
Current State: 17:[11, 6], Operations: ['38-27=11', '10-4=6']
Exploring Operation: 11+6=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903
|
hs_5
|
mult_heuristic
|
[
11,
22,
35,
41
] | 12
|
[
"22/11=2",
"41-35=6",
"2*6=12"
] |
Current State: 12:[11, 22, 35, 41], Operations: []
Exploring Operation: 22/11=2, Resulting Numbers: [35, 41, 2]
Generated Node #2: [35, 41, 2] from Operation: 22/11=2
Current State: 12:[35, 41, 2], Operations: ['22/11=2']
Exploring Operation: 41-35=6, Resulting Numbers: [2, 6]
Generated Node #3: [2, 6] from Operation: 41-35=6
Current State: 12:[2, 6], Operations: ['22/11=2', '41-35=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[11, 22, 35, 41], Operations: []
Exploring Operation: 35-22=13, Resulting Numbers: [11, 41, 13]
Generated Node #0,0: 12:[11, 41, 13] Operation: 35-22=13
Exploring Operation: 41-35=6, Resulting Numbers: [11, 22, 6]
Generated Node #0,1: 12:[11, 22, 6] Operation: 41-35=6
Exploring Operation: 41-22=19, Resulting Numbers: [11, 35, 19]
Generated Node #0,2: 12:[11, 35, 19] Operation: 41-22=19
Exploring Operation: 35-11=24, Resulting Numbers: [22, 41, 24]
Generated Node #0,3: 12:[22, 41, 24] Operation: 35-11=24
Moving to Node #0,1
Current State: 12:[11, 22, 6], Operations: ['41-35=6']
Exploring Operation: 11-6=5, Resulting Numbers: [22, 5]
Generated Node #0,1,0: 12:[22, 5] Operation: 11-6=5
Exploring Operation: 22-11=11, Resulting Numbers: [6, 11]
Generated Node #0,1,1: 12:[6, 11] Operation: 22-11=11
Exploring Operation: 22/11=2, Resulting Numbers: [6, 2]
Generated Node #0,1,2: 12:[6, 2] Operation: 22/11=2
Exploring Operation: 22-6=16, Resulting Numbers: [11, 16]
Generated Node #0,1,3: 12:[11, 16] Operation: 22-6=16
Moving to Node #0,2
Current State: 12:[11, 35, 19], Operations: ['41-22=19']
Exploring Operation: 35-11=24, Resulting Numbers: [19, 24]
Generated Node #0,2,0: 12:[19, 24] Operation: 35-11=24
Exploring Operation: 19-11=8, Resulting Numbers: [35, 8]
Generated Node #0,2,1: 12:[35, 8] Operation: 19-11=8
Exploring Operation: 35-19=16, Resulting Numbers: [11, 16]
Generated Node #0,2,2: 12:[11, 16] Operation: 35-19=16
Exploring Operation: 11+35=46, Resulting Numbers: [19, 46]
Generated Node #0,2,3: 12:[19, 46] Operation: 11+35=46
Moving to Node #0,0
Current State: 12:[11, 41, 13], Operations: ['35-22=13']
Exploring Operation: 41-11=30, Resulting Numbers: [13, 30]
Generated Node #0,0,0: 12:[13, 30] Operation: 41-11=30
Exploring Operation: 11+41=52, Resulting Numbers: [13, 52]
Generated Node #0,0,1: 12:[13, 52] Operation: 11+41=52
Exploring Operation: 13-11=2, Resulting Numbers: [41, 2]
Generated Node #0,0,2: 12:[41, 2] Operation: 13-11=2
Exploring Operation: 41-13=28, Resulting Numbers: [11, 28]
Generated Node #0,0,3: 12:[11, 28] Operation: 41-13=28
Moving to Node #0,3
Current State: 12:[22, 41, 24], Operations: ['35-11=24']
Exploring Operation: 41-22=19, Resulting Numbers: [24, 19]
Generated Node #0,3,0: 12:[24, 19] Operation: 41-22=19
Exploring Operation: 24-22=2, Resulting Numbers: [41, 2]
Generated Node #0,3,1: 12:[41, 2] Operation: 24-22=2
Exploring Operation: 41-24=17, Resulting Numbers: [22, 17]
Generated Node #0,3,2: 12:[22, 17] Operation: 41-24=17
Exploring Operation: 22+41=63, Resulting Numbers: [24, 63]
Generated Node #0,3,3: 12:[24, 63] Operation: 22+41=63
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 12:[22, 17], Operations: ['35-11=24', '41-24=17']
Exploring Operation: 22+17=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 22-17=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 22*17=374, Resulting Numbers: [374]
374,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 12:[24, 19], Operations: ['35-11=24', '41-22=19']
Exploring Operation: 24-19=5, Resulting Numbers: [5]
5,12 unequal: No Solution
Exploring Operation: 24+19=43, Resulting Numbers: [43]
43,12 unequal: No Solution
Exploring Operation: 24*19=456, Resulting Numbers: [456]
456,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 12:[41, 2], Operations: ['35-11=24', '24-22=2']
Exploring Operation: 41*2=82, Resulting Numbers: [82]
82,12 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 41+2=43, Resulting Numbers: [43]
43,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 12:[24, 63], Operations: ['35-11=24', '22+41=63']
Exploring Operation: 63-24=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 24+63=87, Resulting Numbers: [87]
87,12 unequal: No Solution
Exploring Operation: 24*63=1512, Resulting Numbers: [1512]
1512,12 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: 12:[6, 2], Operations: ['41-35=6', '22/11=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,12 unequal: No Solution
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,12 unequal: No Solution
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
Moving to Node #0
Current State: 12:[11, 22, 35, 41], Operations: []
Exploring Operation: 41-35=6, Resulting Numbers: [11, 22, 6]
Generated Node #0,1: 12:[11, 22, 6] Operation: 41-35=6
Moving to Node #0,1
Current State: 12:[11, 22, 6], Operations: ['41-35=6']
Exploring Operation: 22/11=2, Resulting Numbers: [6, 2]
Generated Node #0,1,2: 12:[6, 2] Operation: 22/11=2
Moving to Node #0,1,2
Current State: 12:[6, 2], Operations: ['41-35=6', '22/11=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.966146
|
hs_4
|
mult_heuristic
|
[
11,
40,
6,
60
] | 80
|
[
"11*40=440",
"6*60=360",
"440-360=80"
] |
Current State: 80:[11, 40, 6, 60], Operations: []
Exploring Operation: 11*40=440, Resulting Numbers: [6, 60, 440]
Generated Node #2: [6, 60, 440] from Operation: 11*40=440
Current State: 80:[6, 60, 440], Operations: ['11*40=440']
Exploring Operation: 6*60=360, Resulting Numbers: [440, 360]
Generated Node #3: [440, 360] from Operation: 6*60=360
Current State: 80:[440, 360], Operations: ['11*40=440', '6*60=360']
Exploring Operation: 440-360=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4
|
Current State: 80:[11, 40, 6, 60], Operations: []
Exploring Operation: 11+60=71, Resulting Numbers: [40, 6, 71]
Generated Node #0,0: 80:[40, 6, 71] Operation: 11+60=71
Exploring Operation: 60-11=49, Resulting Numbers: [40, 6, 49]
Generated Node #0,1: 80:[40, 6, 49] Operation: 60-11=49
Exploring Operation: 60-40=20, Resulting Numbers: [11, 6, 20]
Generated Node #0,2: 80:[11, 6, 20] Operation: 60-40=20
Exploring Operation: 60/6=10, Resulting Numbers: [11, 40, 10]
Generated Node #0,3: 80:[11, 40, 10] Operation: 60/6=10
Exploring Operation: 6+60=66, Resulting Numbers: [11, 40, 66]
Generated Node #0,4: 80:[11, 40, 66] Operation: 6+60=66
Moving to Node #0,3
Current State: 80:[11, 40, 10], Operations: ['60/6=10']
Exploring Operation: 11+10=21, Resulting Numbers: [40, 21]
Generated Node #0,3,0: 80:[40, 21] Operation: 11+10=21
Exploring Operation: 11-10=1, Resulting Numbers: [40, 1]
Generated Node #0,3,1: 80:[40, 1] Operation: 11-10=1
Exploring Operation: 40/10=4, Resulting Numbers: [11, 4]
Generated Node #0,3,2: 80:[11, 4] Operation: 40/10=4
Exploring Operation: 11+40=51, Resulting Numbers: [10, 51]
Generated Node #0,3,3: 80:[10, 51] Operation: 11+40=51
Exploring Operation: 40-11=29, Resulting Numbers: [10, 29]
Generated Node #0,3,4: 80:[10, 29] Operation: 40-11=29
Moving to Node #0,2
Current State: 80:[11, 6, 20], Operations: ['60-40=20']
Exploring Operation: 20-11=9, Resulting Numbers: [6, 9]
Generated Node #0,2,0: 80:[6, 9] Operation: 20-11=9
Exploring Operation: 11+6=17, Resulting Numbers: [20, 17]
Generated Node #0,2,1: 80:[20, 17] Operation: 11+6=17
Exploring Operation: 6+20=26, Resulting Numbers: [11, 26]
Generated Node #0,2,2: 80:[11, 26] Operation: 6+20=26
Exploring Operation: 20-6=14, Resulting Numbers: [11, 14]
Generated Node #0,2,3: 80:[11, 14] Operation: 20-6=14
Exploring Operation: 11-6=5, Resulting Numbers: [20, 5]
Generated Node #0,2,4: 80:[20, 5] Operation: 11-6=5
Moving to Node #0,0
Current State: 80:[40, 6, 71], Operations: ['11+60=71']
Exploring Operation: 71-40=31, Resulting Numbers: [6, 31]
Generated Node #0,0,0: 80:[6, 31] Operation: 71-40=31
Exploring Operation: 71-6=65, Resulting Numbers: [40, 65]
Generated Node #0,0,1: 80:[40, 65] Operation: 71-6=65
Exploring Operation: 40-6=34, Resulting Numbers: [71, 34]
Generated Node #0,0,2: 80:[71, 34] Operation: 40-6=34
Exploring Operation: 40+6=46, Resulting Numbers: [71, 46]
Generated Node #0,0,3: 80:[71, 46] Operation: 40+6=46
Exploring Operation: 6+71=77, Resulting Numbers: [40, 77]
Generated Node #0,0,4: 80:[40, 77] Operation: 6+71=77
Start Sub Search at level 1: Moving to Node #0,0,4
Current State: 80:[40, 77], Operations: ['11+60=71', '6+71=77']
Exploring Operation: 40+77=117, Resulting Numbers: [117]
117,80 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 40*77=3080, Resulting Numbers: [3080]
3080,80 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 #0,0,0
Current State: 80:[6, 31], Operations: ['11+60=71', '71-40=31']
Exploring Operation: 6*31=186, Resulting Numbers: [186]
186,80 unequal: No Solution
Exploring Operation: 6+31=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 31-6=25, Resulting Numbers: [25]
25,80 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 #0,0,1
Current State: 80:[40, 65], Operations: ['11+60=71', '71-6=65']
Exploring Operation: 40+65=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 40*65=2600, Resulting Numbers: [2600]
2600,80 unequal: No Solution
Exploring Operation: 65-40=25, Resulting Numbers: [25]
25,80 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 #0,0,2
Current State: 80:[71, 34], Operations: ['11+60=71', '40-6=34']
Exploring Operation: 71+34=105, Resulting Numbers: [105]
105,80 unequal: No Solution
Exploring Operation: 71-34=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 71*34=2414, Resulting Numbers: [2414]
2414,80 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 #0,0,3
Current State: 80:[71, 46], Operations: ['11+60=71', '40+6=46']
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 71*46=3266, Resulting Numbers: [3266]
3266,80 unequal: No Solution
Exploring Operation: 71+46=117, Resulting Numbers: [117]
117,80 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: 80:[40, 6, 49], Operations: ['60-11=49']
Exploring Operation: 40-6=34, Resulting Numbers: [49, 34]
Generated Node #0,1,0: 80:[49, 34] Operation: 40-6=34
Exploring Operation: 49-6=43, Resulting Numbers: [40, 43]
Generated Node #0,1,1: 80:[40, 43] Operation: 49-6=43
Exploring Operation: 40+6=46, Resulting Numbers: [49, 46]
Generated Node #0,1,2: 80:[49, 46] Operation: 40+6=46
Exploring Operation: 49-40=9, Resulting Numbers: [6, 9]
Generated Node #0,1,3: 80:[6, 9] Operation: 49-40=9
Exploring Operation: 40+49=89, Resulting Numbers: [6, 89]
Generated Node #0,1,4: 80:[6, 89] Operation: 40+49=89
Moving to Node #0,4
Current State: 80:[11, 40, 66], Operations: ['6+60=66']
Exploring Operation: 40-11=29, Resulting Numbers: [66, 29]
Generated Node #0,4,0: 80:[66, 29] Operation: 40-11=29
Exploring Operation: 66-40=26, Resulting Numbers: [11, 26]
Generated Node #0,4,1: 80:[11, 26] Operation: 66-40=26
Exploring Operation: 66/11=6, Resulting Numbers: [40, 6]
Generated Node #0,4,2: 80:[40, 6] Operation: 66/11=6
Exploring Operation: 11+66=77, Resulting Numbers: [40, 77]
Generated Node #0,4,3: 80:[40, 77] Operation: 11+66=77
Exploring Operation: 66-11=55, Resulting Numbers: [40, 55]
Generated Node #0,4,4: 80:[40, 55] Operation: 66-11=55
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 80:[40, 6], Operations: ['6+60=66', '66/11=6']
Exploring Operation: 40+6=46, Resulting Numbers: [46]
46,80 unequal: No Solution
Exploring Operation: 40*6=240, Resulting Numbers: [240]
240,80 unequal: No Solution
Exploring Operation: 40-6=34, Resulting Numbers: [34]
34,80 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 #0,4,3
Current State: 80:[40, 77], Operations: ['6+60=66', '11+66=77']
Exploring Operation: 40+77=117, Resulting Numbers: [117]
117,80 unequal: No Solution
Exploring Operation: 77-40=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 40*77=3080, Resulting Numbers: [3080]
3080,80 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 #0,4,1
Current State: 80:[11, 26], Operations: ['6+60=66', '66-40=26']
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,80 unequal: No Solution
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,80 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 #0,4,4
Current State: 80:[40, 55], Operations: ['6+60=66', '66-11=55']
Exploring Operation: 40+55=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 40*55=2200, Resulting Numbers: [2200]
2200,80 unequal: No Solution
Exploring Operation: 55-40=15, Resulting Numbers: [15]
15,80 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 #0,4,0
Current State: 80:[66, 29], Operations: ['6+60=66', '40-11=29']
Exploring Operation: 66*29=1914, Resulting Numbers: [1914]
1914,80 unequal: No Solution
Exploring Operation: 66+29=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 66-29=37, Resulting Numbers: [37]
37,80 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,4
Current State: 80:[20, 5], Operations: ['60-40=20', '11-6=5']
Exploring Operation: 20-5=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 20+5=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 20/5=4, Resulting Numbers: [4]
4,80 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[40, 21], Operations: ['60/6=10', '11+10=21']
Exploring Operation: 40-21=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 40+21=61, Resulting Numbers: [61]
61,80 unequal: No Solution
Exploring Operation: 40*21=840, Resulting Numbers: [840]
840,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[20, 17], Operations: ['60-40=20', '11+6=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Exploring Operation: 20*17=340, Resulting Numbers: [340]
340,80 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Moving to Node #0,3,2
Current State: 80:[11, 4], Operations: ['60/6=10', '40/10=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,80 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,80 unequal: No Solution
Moving to Node #0,3,1
Current State: 80:[40, 1], Operations: ['60/6=10', '11-10=1']
Exploring Operation: 40-1=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Exploring Operation: 40+1=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 40*1=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Exploring Operation: 40/1=40, Resulting Numbers: [40]
40,80 unequal: No Solution
Moving to Node #0,1,3
Current State: 80:[6, 9], Operations: ['60-11=49', '49-40=9']
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Moving to Node #0,2,0
Current State: 80:[6, 9], Operations: ['60-40=20', '20-11=9']
Exploring Operation: 6+9=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 9-6=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 6*9=54, Resulting Numbers: [54]
54,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[40, 43], Operations: ['60-11=49', '49-6=43']
Exploring Operation: 40+43=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Exploring Operation: 40*43=1720, Resulting Numbers: [1720]
1720,80 unequal: No Solution
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[11, 14], Operations: ['60-40=20', '20-6=14']
Exploring Operation: 14-11=3, Resulting Numbers: [3]
3,80 unequal: No Solution
Exploring Operation: 11+14=25, Resulting Numbers: [25]
25,80 unequal: No Solution
Exploring Operation: 11*14=154, Resulting Numbers: [154]
154,80 unequal: No Solution
Moving to Node #0,2,2
Current State: 80:[11, 26], Operations: ['60-40=20', '6+20=26']
Exploring Operation: 11*26=286, Resulting Numbers: [286]
286,80 unequal: No Solution
Exploring Operation: 26-11=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 11+26=37, Resulting Numbers: [37]
37,80 unequal: No Solution
Moving to Node #0,3,4
Current State: 80:[10, 29], Operations: ['60/6=10', '40-11=29']
Exploring Operation: 10*29=290, Resulting Numbers: [290]
290,80 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,80 unequal: No Solution
Exploring Operation: 10+29=39, Resulting Numbers: [39]
39,80 unequal: No Solution
Moving to Node #0,1,4
Current State: 80:[6, 89], Operations: ['60-11=49', '40+49=89']
Exploring Operation: 6*89=534, Resulting Numbers: [534]
534,80 unequal: No Solution
Exploring Operation: 6+89=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 89-6=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[10, 51], Operations: ['60/6=10', '11+40=51']
Exploring Operation: 51-10=41, Resulting Numbers: [41]
41,80 unequal: No Solution
Exploring Operation: 10*51=510, Resulting Numbers: [510]
510,80 unequal: No Solution
Exploring Operation: 10+51=61, Resulting Numbers: [61]
61,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[49, 34], Operations: ['60-11=49', '40-6=34']
Exploring Operation: 49+34=83, Resulting Numbers: [83]
83,80 unequal: No Solution
Exploring Operation: 49-34=15, Resulting Numbers: [15]
15,80 unequal: No Solution
Exploring Operation: 49*34=1666, Resulting Numbers: [1666]
1666,80 unequal: No Solution
Moving to Node #0,1,2
Current State: 80:[49, 46], Operations: ['60-11=49', '40+6=46']
Exploring Operation: 49*46=2254, Resulting Numbers: [2254]
2254,80 unequal: No Solution
Exploring Operation: 49+46=95, Resulting Numbers: [95]
95,80 unequal: No Solution
Exploring Operation: 49-46=3, Resulting Numbers: [3]
3,80 unequal: No Solution
No solution found.
| 0
|
hs_5
|
mult_heuristic
|
[
16,
41,
5,
60
] | 37
|
[
"41-16=25",
"60/5=12",
"25+12=37"
] |
Current State: 37:[16, 41, 5, 60], Operations: []
Exploring Operation: 41-16=25, Resulting Numbers: [5, 60, 25]
Generated Node #2: [5, 60, 25] from Operation: 41-16=25
Current State: 37:[5, 60, 25], Operations: ['41-16=25']
Exploring Operation: 60/5=12, Resulting Numbers: [25, 12]
Generated Node #3: [25, 12] from Operation: 60/5=12
Current State: 37:[25, 12], Operations: ['41-16=25', '60/5=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4
|
Current State: 37:[16, 41, 5, 60], Operations: []
Exploring Operation: 16+5=21, Resulting Numbers: [41, 60, 21]
Generated Node #0,0: 37:[41, 60, 21] Operation: 16+5=21
Exploring Operation: 60-16=44, Resulting Numbers: [41, 5, 44]
Generated Node #0,1: 37:[41, 5, 44] Operation: 60-16=44
Exploring Operation: 60-5=55, Resulting Numbers: [16, 41, 55]
Generated Node #0,2: 37:[16, 41, 55] Operation: 60-5=55
Start Sub Search at level 1: Moving to Node #0,0
Current State: 37:[41, 60, 21], Operations: ['16+5=21']
Exploring Operation: 41-21=20, Resulting Numbers: [60, 20]
Generated Node #0,0,0: 37:[60, 20] Operation: 41-21=20
Exploring Operation: 60-21=39, Resulting Numbers: [41, 39]
Generated Node #0,0,1: 37:[41, 39] Operation: 60-21=39
Exploring Operation: 60-41=19, Resulting Numbers: [21, 19]
Generated Node #0,0,2: 37:[21, 19] Operation: 60-41=19
Moving to Node #0,0,1
Current State: 37:[41, 39], Operations: ['16+5=21', '60-21=39']
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,37 unequal: No Solution
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[21, 19], Operations: ['16+5=21', '60-41=19']
Exploring Operation: 21-19=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 21+19=40, Resulting Numbers: [40]
40,37 unequal: No Solution
Exploring Operation: 21*19=399, Resulting Numbers: [399]
399,37 unequal: No Solution
Moving to Node #0,0,0
Current State: 37:[60, 20], Operations: ['16+5=21', '41-21=20']
Exploring Operation: 60-20=40, Resulting Numbers: [40]
40,37 unequal: No Solution
Exploring Operation: 60/20=3, Resulting Numbers: [3]
3,37 unequal: No Solution
Exploring Operation: 60+20=80, Resulting Numbers: [80]
80,37 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 37:[41, 5, 44], Operations: ['60-16=44']
Exploring Operation: 41+5=46, Resulting Numbers: [44, 46]
Generated Node #0,1,0: 37:[44, 46] Operation: 41+5=46
Exploring Operation: 44-5=39, Resulting Numbers: [41, 39]
Generated Node #0,1,1: 37:[41, 39] Operation: 44-5=39
Exploring Operation: 41-5=36, Resulting Numbers: [44, 36]
Generated Node #0,1,2: 37:[44, 36] Operation: 41-5=36
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 37:[41, 39], Operations: ['60-16=44', '44-5=39']
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,37 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 37:[44, 36], Operations: ['60-16=44', '41-5=36']
Exploring Operation: 44*36=1584, Resulting Numbers: [1584]
1584,37 unequal: No Solution
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,37 unequal: No Solution
Exploring Operation: 44+36=80, Resulting Numbers: [80]
80,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 37:[44, 46], Operations: ['60-16=44', '41+5=46']
Exploring Operation: 44+46=90, Resulting Numbers: [90]
90,37 unequal: No Solution
Exploring Operation: 44*46=2024, Resulting Numbers: [2024]
2024,37 unequal: No Solution
Exploring Operation: 46-44=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 37:[16, 41, 55], Operations: ['60-5=55']
Exploring Operation: 16+41=57, Resulting Numbers: [55, 57]
Generated Node #0,2,0: 37:[55, 57] Operation: 16+41=57
Exploring Operation: 55-16=39, Resulting Numbers: [41, 39]
Generated Node #0,2,1: 37:[41, 39] Operation: 55-16=39
Exploring Operation: 41-16=25, Resulting Numbers: [55, 25]
Generated Node #0,2,2: 37:[55, 25] Operation: 41-16=25
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 37:[41, 39], Operations: ['60-5=55', '55-16=39']
Exploring Operation: 41+39=80, Resulting Numbers: [80]
80,37 unequal: No Solution
Exploring Operation: 41*39=1599, Resulting Numbers: [1599]
1599,37 unequal: No Solution
Exploring Operation: 41-39=2, Resulting Numbers: [2]
2,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 37:[55, 25], Operations: ['60-5=55', '41-16=25']
Exploring Operation: 55-25=30, Resulting Numbers: [30]
30,37 unequal: No Solution
Exploring Operation: 55*25=1375, Resulting Numbers: [1375]
1375,37 unequal: No Solution
Exploring Operation: 55+25=80, Resulting Numbers: [80]
80,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 37:[55, 57], Operations: ['60-5=55', '16+41=57']
Exploring Operation: 57-55=2, Resulting Numbers: [2]
2,37 unequal: No Solution
Exploring Operation: 55*57=3135, Resulting Numbers: [3135]
3135,37 unequal: No Solution
Exploring Operation: 55+57=112, Resulting Numbers: [112]
112,37 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_3
|
mult_heuristic
|
[
80,
6,
76,
59
] | 35
|
[
"80-76=4",
"6*4=24",
"59-24=35"
] |
Current State: 35:[80, 6, 76, 59], Operations: []
Exploring Operation: 80-76=4, Resulting Numbers: [6, 59, 4]
Generated Node #2: [6, 59, 4] from Operation: 80-76=4
Current State: 35:[6, 59, 4], Operations: ['80-76=4']
Exploring Operation: 6*4=24, Resulting Numbers: [59, 24]
Generated Node #3: [59, 24] from Operation: 6*4=24
Current State: 35:[59, 24], Operations: ['80-76=4', '6*4=24']
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[80, 6, 76, 59], Operations: []
Exploring Operation: 76-59=17, Resulting Numbers: [80, 6, 17]
Generated Node #0,0: 35:[80, 6, 17] Operation: 76-59=17
Exploring Operation: 80-6=74, Resulting Numbers: [76, 59, 74]
Generated Node #0,1: 35:[76, 59, 74] Operation: 80-6=74
Exploring Operation: 80-76=4, Resulting Numbers: [6, 59, 4]
Generated Node #0,2: 35:[6, 59, 4] Operation: 80-76=4
Exploring Operation: 80-59=21, Resulting Numbers: [6, 76, 21]
Generated Node #0,3: 35:[6, 76, 21] Operation: 80-59=21
Start Sub Search at level 1: Moving to Node #0,2
Current State: 35:[6, 59, 4], Operations: ['80-76=4']
Exploring Operation: 6-4=2, Resulting Numbers: [59, 2]
Generated Node #0,2,0: 35:[59, 2] Operation: 6-4=2
Exploring Operation: 59-4=55, Resulting Numbers: [6, 55]
Generated Node #0,2,1: 35:[6, 55] Operation: 59-4=55
Exploring Operation: 6+4=10, Resulting Numbers: [59, 10]
Generated Node #0,2,2: 35:[59, 10] Operation: 6+4=10
Exploring Operation: 59-6=53, Resulting Numbers: [4, 53]
Generated Node #0,2,3: 35:[4, 53] Operation: 59-6=53
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 35:[4, 53], Operations: ['80-76=4', '59-6=53']
Exploring Operation: 4+53=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 4*53=212, Resulting Numbers: [212]
212,35 unequal: No Solution
Exploring Operation: 53-4=49, Resulting Numbers: [49]
49,35 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:[6, 55], Operations: ['80-76=4', '59-4=55']
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,35 unequal: No Solution
Exploring Operation: 6*55=330, Resulting Numbers: [330]
330,35 unequal: No Solution
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,35 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:[59, 2], Operations: ['80-76=4', '6-4=2']
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,35 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 59*2=118, Resulting Numbers: [118]
118,35 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:[59, 10], Operations: ['80-76=4', '6+4=10']
Exploring Operation: 59-10=49, Resulting Numbers: [49]
49,35 unequal: No Solution
Exploring Operation: 59*10=590, Resulting Numbers: [590]
590,35 unequal: No Solution
Exploring Operation: 59+10=69, Resulting Numbers: [69]
69,35 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:[80, 6, 17], Operations: ['76-59=17']
Exploring Operation: 80-6=74, Resulting Numbers: [17, 74]
Generated Node #0,0,0: 35:[17, 74] Operation: 80-6=74
Exploring Operation: 17-6=11, Resulting Numbers: [80, 11]
Generated Node #0,0,1: 35:[80, 11] Operation: 17-6=11
Exploring Operation: 6+17=23, Resulting Numbers: [80, 23]
Generated Node #0,0,2: 35:[80, 23] Operation: 6+17=23
Exploring Operation: 80-17=63, Resulting Numbers: [6, 63]
Generated Node #0,0,3: 35:[6, 63] Operation: 80-17=63
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 35:[6, 63], Operations: ['76-59=17', '80-17=63']
Exploring Operation: 6*63=378, Resulting Numbers: [378]
378,35 unequal: No Solution
Exploring Operation: 63-6=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 6+63=69, Resulting Numbers: [69]
69,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 35:[17, 74], Operations: ['76-59=17', '80-6=74']
Exploring Operation: 17*74=1258, Resulting Numbers: [1258]
1258,35 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Exploring Operation: 17+74=91, Resulting Numbers: [91]
91,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 35:[80, 11], Operations: ['76-59=17', '17-6=11']
Exploring Operation: 80*11=880, Resulting Numbers: [880]
880,35 unequal: No Solution
Exploring Operation: 80+11=91, Resulting Numbers: [91]
91,35 unequal: No Solution
Exploring Operation: 80-11=69, Resulting Numbers: [69]
69,35 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 35:[80, 23], Operations: ['76-59=17', '6+17=23']
Exploring Operation: 80+23=103, Resulting Numbers: [103]
103,35 unequal: No Solution
Exploring Operation: 80*23=1840, Resulting Numbers: [1840]
1840,35 unequal: No Solution
Exploring Operation: 80-23=57, Resulting Numbers: [57]
57,35 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:[6, 76, 21], Operations: ['80-59=21']
Exploring Operation: 21-6=15, Resulting Numbers: [76, 15]
Generated Node #0,3,0: 35:[76, 15] Operation: 21-6=15
Exploring Operation: 76-6=70, Resulting Numbers: [21, 70]
Generated Node #0,3,1: 35:[21, 70] Operation: 76-6=70
Exploring Operation: 76-21=55, Resulting Numbers: [6, 55]
Generated Node #0,3,2: 35:[6, 55] Operation: 76-21=55
Exploring Operation: 6+21=27, Resulting Numbers: [76, 27]
Generated Node #0,3,3: 35:[76, 27] Operation: 6+21=27
Moving to Node #0,3,2
Current State: 35:[6, 55], Operations: ['80-59=21', '76-21=55']
Exploring Operation: 6*55=330, Resulting Numbers: [330]
330,35 unequal: No Solution
Exploring Operation: 55-6=49, Resulting Numbers: [49]
49,35 unequal: No Solution
Exploring Operation: 6+55=61, Resulting Numbers: [61]
61,35 unequal: No Solution
Moving to Node #0,3,1
Current State: 35:[21, 70], Operations: ['80-59=21', '76-6=70']
Exploring Operation: 21+70=91, Resulting Numbers: [91]
91,35 unequal: No Solution
Exploring Operation: 70-21=49, Resulting Numbers: [49]
49,35 unequal: No Solution
Exploring Operation: 21*70=1470, Resulting Numbers: [1470]
1470,35 unequal: No Solution
Moving to Node #0,3,0
Current State: 35:[76, 15], Operations: ['80-59=21', '21-6=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,35 unequal: No Solution
Exploring Operation: 76*15=1140, Resulting Numbers: [1140]
1140,35 unequal: No Solution
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,35 unequal: No Solution
Moving to Node #0,3,3
Current State: 35:[76, 27], Operations: ['80-59=21', '6+21=27']
Exploring Operation: 76+27=103, Resulting Numbers: [103]
103,35 unequal: No Solution
Exploring Operation: 76-27=49, Resulting Numbers: [49]
49,35 unequal: No Solution
Exploring Operation: 76*27=2052, Resulting Numbers: [2052]
2052,35 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 35:[76, 59, 74], Operations: ['80-6=74']
Exploring Operation: 76-74=2, Resulting Numbers: [59, 2]
Generated Node #0,1,0: 35:[59, 2] Operation: 76-74=2
Exploring Operation: 76+59=135, Resulting Numbers: [74, 135]
Generated Node #0,1,1: 35:[74, 135] Operation: 76+59=135
Exploring Operation: 74-59=15, Resulting Numbers: [76, 15]
Generated Node #0,1,2: 35:[76, 15] Operation: 74-59=15
Exploring Operation: 76-59=17, Resulting Numbers: [74, 17]
Generated Node #0,1,3: 35:[74, 17] Operation: 76-59=17
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 35:[59, 2], Operations: ['80-6=74', '76-74=2']
Exploring Operation: 59*2=118, Resulting Numbers: [118]
118,35 unequal: No Solution
Exploring Operation: 59+2=61, Resulting Numbers: [61]
61,35 unequal: No Solution
Exploring Operation: 59-2=57, Resulting Numbers: [57]
57,35 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:[76, 15], Operations: ['80-6=74', '74-59=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,35 unequal: No Solution
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,35 unequal: No Solution
Exploring Operation: 76*15=1140, Resulting Numbers: [1140]
1140,35 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:[74, 17], Operations: ['80-6=74', '76-59=17']
Exploring Operation: 74*17=1258, Resulting Numbers: [1258]
1258,35 unequal: No Solution
Exploring Operation: 74+17=91, Resulting Numbers: [91]
91,35 unequal: No Solution
Exploring Operation: 74-17=57, Resulting Numbers: [57]
57,35 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:[74, 135], Operations: ['80-6=74', '76+59=135']
Exploring Operation: 74*135=9990, Resulting Numbers: [9990]
9990,35 unequal: No Solution
Exploring Operation: 74+135=209, Resulting Numbers: [209]
209,35 unequal: No Solution
Exploring Operation: 135-74=61, Resulting Numbers: [61]
61,35 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_4
|
mult_heuristic
|
[
96,
44,
50,
32
] | 48
|
[
"50-44=6",
"96/6=16",
"32+16=48"
] |
Current State: 48:[96, 44, 50, 32], Operations: []
Exploring Operation: 50-44=6, Resulting Numbers: [96, 32, 6]
Generated Node #2: [96, 32, 6] from Operation: 50-44=6
Current State: 48:[96, 32, 6], Operations: ['50-44=6']
Exploring Operation: 96/6=16, Resulting Numbers: [32, 16]
Generated Node #3: [32, 16] from Operation: 96/6=16
Current State: 48:[32, 16], Operations: ['50-44=6', '96/6=16']
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4
|
Current State: 48:[96, 44, 50, 32], Operations: []
Exploring Operation: 96-50=46, Resulting Numbers: [44, 32, 46]
Generated Node #0,0: 48:[44, 32, 46] Operation: 96-50=46
Exploring Operation: 96/32=3, Resulting Numbers: [44, 50, 3]
Generated Node #0,1: 48:[44, 50, 3] Operation: 96/32=3
Exploring Operation: 96-32=64, Resulting Numbers: [44, 50, 64]
Generated Node #0,2: 48:[44, 50, 64] Operation: 96-32=64
Exploring Operation: 96-44=52, Resulting Numbers: [50, 32, 52]
Generated Node #0,3: 48:[50, 32, 52] Operation: 96-44=52
Start Sub Search at level 1: Moving to Node #0,1
Current State: 48:[44, 50, 3], Operations: ['96/32=3']
Exploring Operation: 44+3=47, Resulting Numbers: [50, 47]
Generated Node #0,1,0: 48:[50, 47] Operation: 44+3=47
Exploring Operation: 50-44=6, Resulting Numbers: [3, 6]
Generated Node #0,1,1: 48:[3, 6] Operation: 50-44=6
Exploring Operation: 50-3=47, Resulting Numbers: [44, 47]
Generated Node #0,1,2: 48:[44, 47] Operation: 50-3=47
Exploring Operation: 44-3=41, Resulting Numbers: [50, 41]
Generated Node #0,1,3: 48:[50, 41] Operation: 44-3=41
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 48:[3, 6], Operations: ['96/32=3', '50-44=6']
Exploring Operation: 6-3=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 3+6=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 6/3=2, Resulting Numbers: [2]
2,48 unequal: No Solution
Exploring Operation: 3*6=18, Resulting Numbers: [18]
18,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 48:[50, 47], Operations: ['96/32=3', '44+3=47']
Exploring Operation: 50*47=2350, Resulting Numbers: [2350]
2350,48 unequal: No Solution
Exploring Operation: 50+47=97, Resulting Numbers: [97]
97,48 unequal: No Solution
Exploring Operation: 50-47=3, Resulting Numbers: [3]
3,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,2
Current State: 48:[44, 47], Operations: ['96/32=3', '50-3=47']
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,48 unequal: No Solution
Exploring Operation: 44+47=91, Resulting Numbers: [91]
91,48 unequal: No Solution
Exploring Operation: 44*47=2068, Resulting Numbers: [2068]
2068,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,3
Current State: 48:[50, 41], Operations: ['96/32=3', '44-3=41']
Exploring Operation: 50+41=91, Resulting Numbers: [91]
91,48 unequal: No Solution
Exploring Operation: 50-41=9, Resulting Numbers: [9]
9,48 unequal: No Solution
Exploring Operation: 50*41=2050, Resulting Numbers: [2050]
2050,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 48:[44, 32, 46], Operations: ['96-50=46']
Exploring Operation: 46-32=14, Resulting Numbers: [44, 14]
Generated Node #0,0,0: 48:[44, 14] Operation: 46-32=14
Exploring Operation: 44-32=12, Resulting Numbers: [46, 12]
Generated Node #0,0,1: 48:[46, 12] Operation: 44-32=12
Exploring Operation: 46-44=2, Resulting Numbers: [32, 2]
Generated Node #0,0,2: 48:[32, 2] Operation: 46-44=2
Exploring Operation: 44+32=76, Resulting Numbers: [46, 76]
Generated Node #0,0,3: 48:[46, 76] Operation: 44+32=76
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 48:[46, 12], Operations: ['96-50=46', '44-32=12']
Exploring Operation: 46-12=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 46*12=552, Resulting Numbers: [552]
552,48 unequal: No Solution
Exploring Operation: 46+12=58, Resulting Numbers: [58]
58,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 48:[44, 14], Operations: ['96-50=46', '46-32=14']
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 44*14=616, Resulting Numbers: [616]
616,48 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 48:[32, 2], Operations: ['96-50=46', '46-44=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 48:[46, 76], Operations: ['96-50=46', '44+32=76']
Exploring Operation: 46*76=3496, Resulting Numbers: [3496]
3496,48 unequal: No Solution
Exploring Operation: 76-46=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 46+76=122, Resulting Numbers: [122]
122,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 48:[50, 32, 52], Operations: ['96-44=52']
Exploring Operation: 50-32=18, Resulting Numbers: [52, 18]
Generated Node #0,3,0: 48:[52, 18] Operation: 50-32=18
Exploring Operation: 50+32=82, Resulting Numbers: [52, 82]
Generated Node #0,3,1: 48:[52, 82] Operation: 50+32=82
Exploring Operation: 52-32=20, Resulting Numbers: [50, 20]
Generated Node #0,3,2: 48:[50, 20] Operation: 52-32=20
Exploring Operation: 52-50=2, Resulting Numbers: [32, 2]
Generated Node #0,3,3: 48:[32, 2] Operation: 52-50=2
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 48:[52, 18], Operations: ['96-44=52', '50-32=18']
Exploring Operation: 52+18=70, Resulting Numbers: [70]
70,48 unequal: No Solution
Exploring Operation: 52*18=936, Resulting Numbers: [936]
936,48 unequal: No Solution
Exploring Operation: 52-18=34, Resulting Numbers: [34]
34,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 48:[50, 20], Operations: ['96-44=52', '52-32=20']
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,48 unequal: No Solution
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,48 unequal: No Solution
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 48:[32, 2], Operations: ['96-44=52', '52-50=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,48 unequal: No Solution
Exploring Operation: 32*2=64, Resulting Numbers: [64]
64,48 unequal: No Solution
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,48 unequal: No Solution
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 48:[52, 82], Operations: ['96-44=52', '50+32=82']
Exploring Operation: 52+82=134, Resulting Numbers: [134]
134,48 unequal: No Solution
Exploring Operation: 52*82=4264, Resulting Numbers: [4264]
4264,48 unequal: No Solution
Exploring Operation: 82-52=30, Resulting Numbers: [30]
30,48 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 48:[44, 50, 64], Operations: ['96-32=64']
Exploring Operation: 64-50=14, Resulting Numbers: [44, 14]
Generated Node #0,2,0: 48:[44, 14] Operation: 64-50=14
Exploring Operation: 64-44=20, Resulting Numbers: [50, 20]
Generated Node #0,2,1: 48:[50, 20] Operation: 64-44=20
Exploring Operation: 44+50=94, Resulting Numbers: [64, 94]
Generated Node #0,2,2: 48:[64, 94] Operation: 44+50=94
Exploring Operation: 50-44=6, Resulting Numbers: [64, 6]
Generated Node #0,2,3: 48:[64, 6] Operation: 50-44=6
Moving to Node #0,2,0
Current State: 48:[44, 14], Operations: ['96-32=64', '64-50=14']
Exploring Operation: 44*14=616, Resulting Numbers: [616]
616,48 unequal: No Solution
Exploring Operation: 44+14=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Exploring Operation: 44-14=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Moving to Node #0,2,1
Current State: 48:[50, 20], Operations: ['96-32=64', '64-44=20']
Exploring Operation: 50-20=30, Resulting Numbers: [30]
30,48 unequal: No Solution
Exploring Operation: 50+20=70, Resulting Numbers: [70]
70,48 unequal: No Solution
Exploring Operation: 50*20=1000, Resulting Numbers: [1000]
1000,48 unequal: No Solution
Moving to Node #0,2,3
Current State: 48:[64, 6], Operations: ['96-32=64', '50-44=6']
Exploring Operation: 64+6=70, Resulting Numbers: [70]
70,48 unequal: No Solution
Exploring Operation: 64*6=384, Resulting Numbers: [384]
384,48 unequal: No Solution
Exploring Operation: 64-6=58, Resulting Numbers: [58]
58,48 unequal: No Solution
Moving to Node #0,2,2
Current State: 48:[64, 94], Operations: ['96-32=64', '44+50=94']
Exploring Operation: 64+94=158, Resulting Numbers: [158]
158,48 unequal: No Solution
Exploring Operation: 64*94=6016, Resulting Numbers: [6016]
6016,48 unequal: No Solution
Exploring Operation: 94-64=30, Resulting Numbers: [30]
30,48 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
|
[
48,
67,
35,
50
] | 55
|
[
"48*50=2400",
"67*35=2345",
"2400-2345=55"
] |
Current State: 55:[48, 67, 35, 50], Operations: []
Exploring Operation: 48*50=2400, Resulting Numbers: [67, 35, 2400]
Generated Node #2: [67, 35, 2400] from Operation: 48*50=2400
Current State: 55:[67, 35, 2400], Operations: ['48*50=2400']
Exploring Operation: 67*35=2345, Resulting Numbers: [2400, 2345]
Generated Node #3: [2400, 2345] from Operation: 67*35=2345
Current State: 55:[2400, 2345], Operations: ['48*50=2400', '67*35=2345']
Exploring Operation: 2400-2345=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4
|
Current State: 55:[48, 67, 35, 50], Operations: []
Exploring Operation: 48-35=13, Resulting Numbers: [67, 50, 13]
Generated Node #0,0: 55:[67, 50, 13] Operation: 48-35=13
Moving to Node #0,0
Current State: 55:[67, 50, 13], Operations: ['48-35=13']
Exploring Operation: 67-13=54, Resulting Numbers: [50, 54]
Generated Node #0,0,0: 55:[50, 54] Operation: 67-13=54
Moving to Node #0,0,0
Current State: 55:[50, 54], Operations: ['48-35=13', '67-13=54']
Exploring Operation: 54-50=4, Resulting Numbers: [4]
4,55 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
51,
51,
99,
47
] | 12
|
[
"99-51=48",
"51-47=4",
"48/4=12"
] |
Current State: 12:[51, 51, 99, 47], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [47, 48]
Generated Node #2: [47, 48] from Operation: 99-51=48
Current State: 12:[47, 48], Operations: ['99-51=48']
Exploring Operation: 51-47=4, Resulting Numbers: [48, 4]
Generated Node #3: [48, 4] from Operation: 51-47=4
Current State: 12:[48, 4], Operations: ['99-51=48', '51-47=4']
Exploring Operation: 48/4=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[51, 51, 99, 47], Operations: []
Exploring Operation: 99-51=48, Resulting Numbers: [51, 47, 48]
Generated Node #0,0: 12:[51, 47, 48] Operation: 99-51=48
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[51, 47, 48], Operations: ['99-51=48']
Exploring Operation: 51-48=3, Resulting Numbers: [47, 3]
Generated Node #0,0,0: 12:[47, 3] Operation: 51-48=3
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 12:[47, 3], Operations: ['99-51=48', '51-48=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,12 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_1
|
sum_heuristic
|
[
90,
6,
22,
82
] | 24
|
[
"90-6=84",
"82-22=60",
"84-60=24"
] |
Current State: 24:[90, 6, 22, 82], Operations: []
Exploring Operation: 90-6=84, Resulting Numbers: [22, 82, 84]
Generated Node #2: [22, 82, 84] from Operation: 90-6=84
Current State: 24:[22, 82, 84], Operations: ['90-6=84']
Exploring Operation: 82-22=60, Resulting Numbers: [84, 60]
Generated Node #3: [84, 60] from Operation: 82-22=60
Current State: 24:[84, 60], Operations: ['90-6=84', '82-22=60']
Exploring Operation: 84-60=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[90, 6, 22, 82], Operations: []
Exploring Operation: 90-22=68, Resulting Numbers: [6, 82, 68]
Generated Node #0,0: 24:[6, 82, 68] Operation: 90-22=68
Exploring Operation: 90/6=15, Resulting Numbers: [22, 82, 15]
Generated Node #0,1: 24:[22, 82, 15] Operation: 90/6=15
Exploring Operation: 82-22=60, Resulting Numbers: [90, 6, 60]
Generated Node #0,2: 24:[90, 6, 60] Operation: 82-22=60
Exploring Operation: 90-82=8, Resulting Numbers: [6, 22, 8]
Generated Node #0,3: 24:[6, 22, 8] Operation: 90-82=8
Moving to Node #0,3
Current State: 24:[6, 22, 8], Operations: ['90-82=8']
Exploring Operation: 22-8=14, Resulting Numbers: [6, 14]
Generated Node #0,3,0: 24:[6, 14] Operation: 22-8=14
Exploring Operation: 22-6=16, Resulting Numbers: [8, 16]
Generated Node #0,3,1: 24:[8, 16] Operation: 22-6=16
Exploring Operation: 6+22=28, Resulting Numbers: [8, 28]
Generated Node #0,3,2: 24:[8, 28] Operation: 6+22=28
Exploring Operation: 8-6=2, Resulting Numbers: [22, 2]
Generated Node #0,3,3: 24:[22, 2] Operation: 8-6=2
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 24:[6, 14], Operations: ['90-82=8', '22-8=14']
Exploring Operation: 14-6=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Exploring Operation: 6+14=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 6*14=84, Resulting Numbers: [84]
84,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 24:[22, 2], Operations: ['90-82=8', '8-6=2']
Exploring Operation: 22*2=44, Resulting Numbers: [44]
44,24 unequal: No Solution
Exploring Operation: 22-2=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 22/2=11, Resulting Numbers: [11]
11,24 unequal: No Solution
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[90, 6, 22, 82], Operations: []
Exploring Operation: 90-82=8, Resulting Numbers: [6, 22, 8]
Generated Node #0,3: 24:[6, 22, 8] Operation: 90-82=8
Moving to Node #0,3
Current State: 24:[6, 22, 8], Operations: ['90-82=8']
Exploring Operation: 8-6=2, Resulting Numbers: [22, 2]
Generated Node #0,3,3: 24:[22, 2] Operation: 8-6=2
Moving to Node #0,3,3
Current State: 24:[22, 2], Operations: ['90-82=8', '8-6=2']
Exploring Operation: 22+2=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507
|
hs_4
|
mult_heuristic
|
[
87,
91,
20,
53
] | 58
|
[
"91-87=4",
"20/4=5",
"53+5=58"
] |
Current State: 58:[87, 91, 20, 53], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [20, 53, 4]
Generated Node #2: [20, 53, 4] from Operation: 91-87=4
Current State: 58:[20, 53, 4], Operations: ['91-87=4']
Exploring Operation: 20/4=5, Resulting Numbers: [53, 5]
Generated Node #3: [53, 5] from Operation: 20/4=5
Current State: 58:[53, 5], Operations: ['91-87=4', '20/4=5']
Exploring Operation: 53+5=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[87, 91, 20, 53], Operations: []
Exploring Operation: 91-87=4, Resulting Numbers: [20, 53, 4]
Generated Node #0,0: 58:[20, 53, 4] Operation: 91-87=4
Start Sub Search at level 1: Moving to Node #0,0
Current State: 58:[20, 53, 4], Operations: ['91-87=4']
Exploring Operation: 53-20=33, Resulting Numbers: [4, 33]
Generated Node #0,0,0: 58:[4, 33] Operation: 53-20=33
Moving to Node #0,0,0
Current State: 58:[4, 33], Operations: ['91-87=4', '53-20=33']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,58 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
24,
30,
61,
24
] | 30
|
[
"24-24=0",
"61*0=0",
"30+0=30"
] |
Current State: 30:[24, 30, 61, 24], Operations: []
Exploring Operation: 24-24=0, Resulting Numbers: [30, 61, 0]
Generated Node #2: [30, 61, 0] from Operation: 24-24=0
Current State: 30:[30, 61, 0], Operations: ['24-24=0']
Exploring Operation: 61*0=0, Resulting Numbers: [30, 0]
Generated Node #3: [30, 0] from Operation: 61*0=0
Current State: 30:[30, 0], Operations: ['24-24=0', '61*0=0']
Exploring Operation: 30+0=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[24, 30, 61, 24], Operations: []
Exploring Operation: 61-24=37, Resulting Numbers: [30, 24, 37]
Generated Node #0,0: 30:[30, 24, 37] Operation: 61-24=37
Start Sub Search at level 1: Moving to Node #0,0
Current State: 30:[30, 24, 37], Operations: ['61-24=37']
Exploring Operation: 37-24=13, Resulting Numbers: [30, 13]
Generated Node #0,0,0: 30:[30, 13] Operation: 37-24=13
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 30:[30, 13], Operations: ['61-24=37', '37-24=13']
Exploring Operation: 30-13=17, Resulting Numbers: [17]
17,30 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
mult_heuristic
|
[
41,
19,
2,
56
] | 76
|
[
"41-19=22",
"56-2=54",
"22+54=76"
] |
Current State: 76:[41, 19, 2, 56], Operations: []
Exploring Operation: 41-19=22, Resulting Numbers: [2, 56, 22]
Generated Node #2: [2, 56, 22] from Operation: 41-19=22
Current State: 76:[2, 56, 22], Operations: ['41-19=22']
Exploring Operation: 56-2=54, Resulting Numbers: [22, 54]
Generated Node #3: [22, 54] from Operation: 56-2=54
Current State: 76:[22, 54], Operations: ['41-19=22', '56-2=54']
Exploring Operation: 22+54=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[41, 19, 2, 56], Operations: []
Exploring Operation: 56-41=15, Resulting Numbers: [19, 2, 15]
Generated Node #0,0: 76:[19, 2, 15] Operation: 56-41=15
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[19, 2, 15], Operations: ['56-41=15']
Exploring Operation: 19-15=4, Resulting Numbers: [2, 4]
Generated Node #0,0,0: 76:[2, 4] Operation: 19-15=4
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[2, 4], Operations: ['56-41=15', '19-15=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,76 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
|
[
2,
30,
84,
73
] | 92
|
[
"2*73=146",
"84-30=54",
"146-54=92"
] |
Current State: 92:[2, 30, 84, 73], Operations: []
Exploring Operation: 2*73=146, Resulting Numbers: [30, 84, 146]
Generated Node #2: [30, 84, 146] from Operation: 2*73=146
Current State: 92:[30, 84, 146], Operations: ['2*73=146']
Exploring Operation: 84-30=54, Resulting Numbers: [146, 54]
Generated Node #3: [146, 54] from Operation: 84-30=54
Current State: 92:[146, 54], Operations: ['2*73=146', '84-30=54']
Exploring Operation: 146-54=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4
|
Current State: 92:[2, 30, 84, 73], Operations: []
Exploring Operation: 84-73=11, Resulting Numbers: [2, 30, 11]
Generated Node #0,0: 92:[2, 30, 11] Operation: 84-73=11
Exploring Operation: 73-30=43, Resulting Numbers: [2, 84, 43]
Generated Node #0,1: 92:[2, 84, 43] Operation: 73-30=43
Start Sub Search at level 1: Moving to Node #0,1
Current State: 92:[2, 84, 43], Operations: ['73-30=43']
Exploring Operation: 84-43=41, Resulting Numbers: [2, 41]
Generated Node #0,1,0: 92:[2, 41] Operation: 84-43=41
Exploring Operation: 84/2=42, Resulting Numbers: [43, 42]
Generated Node #0,1,1: 92:[43, 42] Operation: 84/2=42
Moving to Node #0,1,0
Current State: 92:[2, 41], Operations: ['73-30=43', '84-43=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,92 unequal: No Solution
Moving to Node #0,1,1
Current State: 92:[43, 42], Operations: ['73-30=43', '84/2=42']
Exploring Operation: 43+42=85, Resulting Numbers: [85]
85,92 unequal: No Solution
Exploring Operation: 43-42=1, Resulting Numbers: [1]
1,92 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 92:[2, 30, 11], Operations: ['84-73=11']
Exploring Operation: 30+11=41, Resulting Numbers: [2, 41]
Generated Node #0,0,0: 92:[2, 41] Operation: 30+11=41
Exploring Operation: 30-11=19, Resulting Numbers: [2, 19]
Generated Node #0,0,1: 92:[2, 19] Operation: 30-11=19
Moving to Node #0,0,1
Current State: 92:[2, 19], Operations: ['84-73=11', '30-11=19']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,92 unequal: No Solution
Exploring Operation: 2+19=21, Resulting Numbers: [21]
21,92 unequal: No Solution
Moving to Node #0,0,0
Current State: 92:[2, 41], Operations: ['84-73=11', '30+11=41']
Exploring Operation: 2+41=43, Resulting Numbers: [43]
43,92 unequal: No Solution
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,92 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
|
[
63,
31,
38,
69
] | 62
|
[
"31+38=69",
"69/69=1",
"63-1=62"
] |
Current State: 62:[63, 31, 38, 69], Operations: []
Exploring Operation: 31+38=69, Resulting Numbers: [63, 69, 69]
Generated Node #2: [63, 69, 69] from Operation: 31+38=69
Current State: 62:[63, 69, 69], Operations: ['31+38=69']
Exploring Operation: 69/69=1, Resulting Numbers: [63, 1]
Generated Node #3: [63, 1] from Operation: 69/69=1
Current State: 62:[63, 1], Operations: ['31+38=69', '69/69=1']
Exploring Operation: 63-1=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4
|
Current State: 62:[63, 31, 38, 69], Operations: []
Exploring Operation: 69-38=31, Resulting Numbers: [63, 31, 31]
Generated Node #0,0: 62:[63, 31, 31] Operation: 69-38=31
Exploring Operation: 69-63=6, Resulting Numbers: [31, 38, 6]
Generated Node #0,1: 62:[31, 38, 6] Operation: 69-63=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 62:[63, 31, 31], Operations: ['69-38=31']
Exploring Operation: 63-31=32, Resulting Numbers: [31, 32]
Generated Node #0,0,0: 62:[31, 32] Operation: 63-31=32
Exploring Operation: 63-31=32, Resulting Numbers: [31, 32]
Generated Node #0,0,1: 62:[31, 32] Operation: 63-31=32
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 62:[31, 32], Operations: ['69-38=31', '63-31=32']
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,62 unequal: No Solution
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,62 unequal: No Solution
No 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: 62:[31, 32], Operations: ['69-38=31', '63-31=32']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 62:[31, 38, 6], Operations: ['69-63=6']
Exploring Operation: 38-6=32, Resulting Numbers: [31, 32]
Generated Node #0,1,0: 62:[31, 32] Operation: 38-6=32
Exploring Operation: 38-31=7, Resulting Numbers: [6, 7]
Generated Node #0,1,1: 62:[6, 7] Operation: 38-31=7
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 62:[31, 32], Operations: ['69-63=6', '38-6=32']
Exploring Operation: 32-31=1, Resulting Numbers: [1]
1,62 unequal: No Solution
Exploring Operation: 31+32=63, Resulting Numbers: [63]
63,62 unequal: No Solution
No 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: 62:[6, 7], Operations: ['69-63=6', '38-31=7']
Exploring Operation: 6+7=13, Resulting Numbers: [13]
13,62 unequal: No Solution
Exploring Operation: 7-6=1, Resulting Numbers: [1]
1,62 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
38,
14,
84,
49
] | 14
|
[
"38-14=24",
"49*24=1176",
"1176/84=14"
] |
Current State: 14:[38, 14, 84, 49], Operations: []
Exploring Operation: 38-14=24, Resulting Numbers: [84, 49, 24]
Generated Node #2: [84, 49, 24] from Operation: 38-14=24
Current State: 14:[84, 49, 24], Operations: ['38-14=24']
Exploring Operation: 49*24=1176, Resulting Numbers: [84, 1176]
Generated Node #3: [84, 1176] from Operation: 49*24=1176
Current State: 14:[84, 1176], Operations: ['38-14=24', '49*24=1176']
Exploring Operation: 1176/84=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
Current State: 14:[38, 14, 84, 49], Operations: []
Exploring Operation: 84-49=35, Resulting Numbers: [38, 14, 35]
Generated Node #0,0: 14:[38, 14, 35] Operation: 84-49=35
Exploring Operation: 84/14=6, Resulting Numbers: [38, 49, 6]
Generated Node #0,1: 14:[38, 49, 6] Operation: 84/14=6
Exploring Operation: 84-38=46, Resulting Numbers: [14, 49, 46]
Generated Node #0,2: 14:[14, 49, 46] Operation: 84-38=46
Moving to Node #0,0
Current State: 14:[38, 14, 35], Operations: ['84-49=35']
Exploring Operation: 35-14=21, Resulting Numbers: [38, 21]
Generated Node #0,0,0: 14:[38, 21] Operation: 35-14=21
Exploring Operation: 38-35=3, Resulting Numbers: [14, 3]
Generated Node #0,0,1: 14:[14, 3] Operation: 38-35=3
Exploring Operation: 38-14=24, Resulting Numbers: [35, 24]
Generated Node #0,0,2: 14:[35, 24] Operation: 38-14=24
Moving to Node #0,1
Current State: 14:[38, 49, 6], Operations: ['84/14=6']
Exploring Operation: 49-38=11, Resulting Numbers: [6, 11]
Generated Node #0,1,0: 14:[6, 11] Operation: 49-38=11
Exploring Operation: 49-6=43, Resulting Numbers: [38, 43]
Generated Node #0,1,1: 14:[38, 43] Operation: 49-6=43
Exploring Operation: 38-6=32, Resulting Numbers: [49, 32]
Generated Node #0,1,2: 14:[49, 32] Operation: 38-6=32
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 14:[6, 11], Operations: ['84/14=6', '49-38=11']
Exploring Operation: 6+11=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 11-6=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 6*11=66, Resulting Numbers: [66]
66,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 14:[38, 43], Operations: ['84/14=6', '49-6=43']
Exploring Operation: 38+43=81, Resulting Numbers: [81]
81,14 unequal: No Solution
Exploring Operation: 43-38=5, Resulting Numbers: [5]
5,14 unequal: No Solution
Exploring Operation: 38*43=1634, Resulting Numbers: [1634]
1634,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 14:[49, 32], Operations: ['84/14=6', '38-6=32']
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,14 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,14 unequal: No Solution
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,14 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 14:[14, 49, 46], Operations: ['84-38=46']
Exploring Operation: 49-46=3, Resulting Numbers: [14, 3]
Generated Node #0,2,0: 14:[14, 3] Operation: 49-46=3
Exploring Operation: 46-14=32, Resulting Numbers: [49, 32]
Generated Node #0,2,1: 14:[49, 32] Operation: 46-14=32
Exploring Operation: 49-14=35, Resulting Numbers: [46, 35]
Generated Node #0,2,2: 14:[46, 35] Operation: 49-14=35
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 14:[14, 3], Operations: ['84-38=46', '49-46=3']
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,14 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:[49, 32], Operations: ['84-38=46', '46-14=32']
Exploring Operation: 49-32=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 49+32=81, Resulting Numbers: [81]
81,14 unequal: No Solution
Exploring Operation: 49*32=1568, Resulting Numbers: [1568]
1568,14 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:[46, 35], Operations: ['84-38=46', '49-14=35']
Exploring Operation: 46+35=81, Resulting Numbers: [81]
81,14 unequal: No Solution
Exploring Operation: 46*35=1610, Resulting Numbers: [1610]
1610,14 unequal: No Solution
Exploring Operation: 46-35=11, Resulting Numbers: [11]
11,14 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:[14, 3], Operations: ['84-49=35', '38-35=3']
Exploring Operation: 14*3=42, Resulting Numbers: [42]
42,14 unequal: No Solution
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Moving to Node #0,0,0
Current State: 14:[38, 21], Operations: ['84-49=35', '35-14=21']
Exploring Operation: 38*21=798, Resulting Numbers: [798]
798,14 unequal: No Solution
Exploring Operation: 38-21=17, Resulting Numbers: [17]
17,14 unequal: No Solution
Exploring Operation: 38+21=59, Resulting Numbers: [59]
59,14 unequal: No Solution
Moving to Node #0,0,2
Current State: 14:[35, 24], Operations: ['84-49=35', '38-14=24']
Exploring Operation: 35*24=840, Resulting Numbers: [840]
840,14 unequal: No Solution
Exploring Operation: 35-24=11, Resulting Numbers: [11]
11,14 unequal: No Solution
Exploring Operation: 35+24=59, Resulting Numbers: [59]
59,14 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
75,
96,
21,
63
] | 63
|
[
"96-75=21",
"21+63=84",
"84-21=63"
] |
Current State: 63:[75, 96, 21, 63], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [21, 63, 21]
Generated Node #2: [21, 63, 21] from Operation: 96-75=21
Current State: 63:[21, 63, 21], Operations: ['96-75=21']
Exploring Operation: 21+63=84, Resulting Numbers: [84]
84,63 equal: Goal Reached
Exploring Operation: 84-21=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[75, 96, 21, 63], Operations: []
Exploring Operation: 96-21=75, Resulting Numbers: [75, 63, 75]
Generated Node #0,0: 63:[75, 63, 75] Operation: 96-21=75
Exploring Operation: 75-21=54, Resulting Numbers: [96, 63, 54]
Generated Node #0,1: 63:[96, 63, 54] Operation: 75-21=54
Exploring Operation: 75-63=12, Resulting Numbers: [96, 21, 12]
Generated Node #0,2: 63:[96, 21, 12] Operation: 75-63=12
Exploring Operation: 96-63=33, Resulting Numbers: [75, 21, 33]
Generated Node #0,3: 63:[75, 21, 33] Operation: 96-63=33
Exploring Operation: 96-75=21, Resulting Numbers: [21, 63, 21]
Generated Node #0,4: 63:[21, 63, 21] Operation: 96-75=21
Start Sub Search at level 1: Moving to Node #0,4
Current State: 63:[21, 63, 21], Operations: ['96-75=21']
Exploring Operation: 63/21=3, Resulting Numbers: [21, 3]
Generated Node #0,4,0: 63:[21, 3] Operation: 63/21=3
Exploring Operation: 63/21=3, Resulting Numbers: [21, 3]
Generated Node #0,4,1: 63:[21, 3] Operation: 63/21=3
Exploring Operation: 21-21=0, Resulting Numbers: [63, 0]
Generated Node #0,4,2: 63:[63, 0] Operation: 21-21=0
Exploring Operation: 21+63=84, Resulting Numbers: [21, 84]
Generated Node #0,4,3: 63:[21, 84] Operation: 21+63=84
Exploring Operation: 21/21=1, Resulting Numbers: [63, 1]
Generated Node #0,4,4: 63:[63, 1] Operation: 21/21=1
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 63:[21, 3], Operations: ['96-75=21', '63/21=3']
Exploring Operation: 21-3=18, Resulting Numbers: [18]
18,63 unequal: No Solution
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[75, 96, 21, 63], Operations: []
Exploring Operation: 96-75=21, Resulting Numbers: [21, 63, 21]
Generated Node #0,4: 63:[21, 63, 21] Operation: 96-75=21
Moving to Node #0,4
Current State: 63:[21, 63, 21], Operations: ['96-75=21']
Exploring Operation: 63/21=3, Resulting Numbers: [21, 3]
Generated Node #0,4,0: 63:[21, 3] Operation: 63/21=3
Moving to Node #0,4,0
Current State: 63:[21, 3], Operations: ['96-75=21', '63/21=3']
Exploring Operation: 21*3=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986111
|
hs_5
|
mult_heuristic
|
[
42,
3,
3,
1
] | 17
|
[
"42/3=14",
"3*1=3",
"14+3=17"
] |
Current State: 17:[42, 3, 3, 1], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [1, 14]
Generated Node #2: [1, 14] from Operation: 42/3=14
Current State: 17:[1, 14], Operations: ['42/3=14']
Exploring Operation: 3*1=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 3*1=3
Current State: 17:[14, 3], Operations: ['42/3=14', '3*1=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4
|
Current State: 17:[42, 3, 3, 1], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [3, 1, 14]
Generated Node #0,0: 17:[3, 1, 14] Operation: 42/3=14
Exploring Operation: 42/3=14, Resulting Numbers: [3, 1, 14]
Generated Node #0,1: 17:[3, 1, 14] Operation: 42/3=14
Exploring Operation: 3*3=9, Resulting Numbers: [42, 1, 9]
Generated Node #0,2: 17:[42, 1, 9] Operation: 3*3=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 17:[3, 1, 14], Operations: ['42/3=14']
Exploring Operation: 3+14=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 17:[1, 17] Operation: 3+14=17
Exploring Operation: 1+14=15, Resulting Numbers: [3, 15]
Generated Node #0,0,1: 17:[3, 15] Operation: 1+14=15
Exploring Operation: 3+1=4, Resulting Numbers: [14, 4]
Generated Node #0,0,2: 17:[14, 4] Operation: 3+1=4
Moving to Node #0,0,0
Current State: 17:[1, 17], Operations: ['42/3=14', '3+14=17']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Moving to Node #0
Current State: 17:[42, 3, 3, 1], Operations: []
Exploring Operation: 42/3=14, Resulting Numbers: [3, 1, 14]
Generated Node #0,0: 17:[3, 1, 14] Operation: 42/3=14
Moving to Node #0,0
Current State: 17:[3, 1, 14], Operations: ['42/3=14']
Exploring Operation: 3+14=17, Resulting Numbers: [1, 17]
Generated Node #0,0,0: 17:[1, 17] Operation: 3+14=17
Moving to Node #0,0,0
Current State: 17:[1, 17], Operations: ['42/3=14', '3+14=17']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
Exit Sub Search at level 1
| 0.990451
|
hs_3
|
sum_heuristic
|
[
93,
61,
3,
95
] | 32
|
[
"95-93=2",
"61+3=64",
"64/2=32"
] |
Current State: 32:[93, 61, 3, 95], Operations: []
Exploring Operation: 95-93=2, Resulting Numbers: [61, 3, 2]
Generated Node #2: [61, 3, 2] from Operation: 95-93=2
Current State: 32:[61, 3, 2], Operations: ['95-93=2']
Exploring Operation: 61+3=64, Resulting Numbers: [2, 64]
Generated Node #3: [2, 64] from Operation: 61+3=64
Current State: 32:[2, 64], Operations: ['95-93=2', '61+3=64']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
Current State: 32:[93, 61, 3, 95], Operations: []
Exploring Operation: 93-61=32, Resulting Numbers: [3, 95, 32]
Generated Node #0,0: 32:[3, 95, 32] Operation: 93-61=32
Exploring Operation: 95-61=34, Resulting Numbers: [93, 3, 34]
Generated Node #0,1: 32:[93, 3, 34] Operation: 95-61=34
Exploring Operation: 95-93=2, Resulting Numbers: [61, 3, 2]
Generated Node #0,2: 32:[61, 3, 2] Operation: 95-93=2
Exploring Operation: 93/3=31, Resulting Numbers: [61, 95, 31]
Generated Node #0,3: 32:[61, 95, 31] Operation: 93/3=31
Exploring Operation: 93-3=90, Resulting Numbers: [61, 95, 90]
Generated Node #0,4: 32:[61, 95, 90] Operation: 93-3=90
Moving to Node #0,2
Current State: 32:[61, 3, 2], Operations: ['95-93=2']
Exploring Operation: 3+2=5, Resulting Numbers: [61, 5]
Generated Node #0,2,0: 32:[61, 5] Operation: 3+2=5
Exploring Operation: 3-2=1, Resulting Numbers: [61, 1]
Generated Node #0,2,1: 32:[61, 1] Operation: 3-2=1
Exploring Operation: 61-2=59, Resulting Numbers: [3, 59]
Generated Node #0,2,2: 32:[3, 59] Operation: 61-2=59
Exploring Operation: 3*2=6, Resulting Numbers: [61, 6]
Generated Node #0,2,3: 32:[61, 6] Operation: 3*2=6
Exploring Operation: 61-3=58, Resulting Numbers: [2, 58]
Generated Node #0,2,4: 32:[2, 58] Operation: 61-3=58
Moving to Node #0,1
Current State: 32:[93, 3, 34], Operations: ['95-61=34']
Exploring Operation: 93-3=90, Resulting Numbers: [34, 90]
Generated Node #0,1,0: 32:[34, 90] Operation: 93-3=90
Exploring Operation: 34-3=31, Resulting Numbers: [93, 31]
Generated Node #0,1,1: 32:[93, 31] Operation: 34-3=31
Exploring Operation: 93/3=31, Resulting Numbers: [34, 31]
Generated Node #0,1,2: 32:[34, 31] Operation: 93/3=31
Exploring Operation: 93+3=96, Resulting Numbers: [34, 96]
Generated Node #0,1,3: 32:[34, 96] Operation: 93+3=96
Exploring Operation: 93-34=59, Resulting Numbers: [3, 59]
Generated Node #0,1,4: 32:[3, 59] Operation: 93-34=59
Moving to Node #0,0
Current State: 32:[3, 95, 32], Operations: ['93-61=32']
Exploring Operation: 95-32=63, Resulting Numbers: [3, 63]
Generated Node #0,0,0: 32:[3, 63] Operation: 95-32=63
Exploring Operation: 32-3=29, Resulting Numbers: [95, 29]
Generated Node #0,0,1: 32:[95, 29] Operation: 32-3=29
Exploring Operation: 3+95=98, Resulting Numbers: [32, 98]
Generated Node #0,0,2: 32:[32, 98] Operation: 3+95=98
Exploring Operation: 95-3=92, Resulting Numbers: [32, 92]
Generated Node #0,0,3: 32:[32, 92] Operation: 95-3=92
Exploring Operation: 3+32=35, Resulting Numbers: [95, 35]
Generated Node #0,0,4: 32:[95, 35] Operation: 3+32=35
Moving to Node #0,3
Current State: 32:[61, 95, 31], Operations: ['93/3=31']
Exploring Operation: 61-31=30, Resulting Numbers: [95, 30]
Generated Node #0,3,0: 32:[95, 30] Operation: 61-31=30
Exploring Operation: 95-31=64, Resulting Numbers: [61, 64]
Generated Node #0,3,1: 32:[61, 64] Operation: 95-31=64
Exploring Operation: 95+31=126, Resulting Numbers: [61, 126]
Generated Node #0,3,2: 32:[61, 126] Operation: 95+31=126
Exploring Operation: 95-61=34, Resulting Numbers: [31, 34]
Generated Node #0,3,3: 32:[31, 34] Operation: 95-61=34
Exploring Operation: 61+31=92, Resulting Numbers: [95, 92]
Generated Node #0,3,4: 32:[95, 92] Operation: 61+31=92
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 32:[31, 34], Operations: ['93/3=31', '95-61=34']
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 31*34=1054, Resulting Numbers: [1054]
1054,32 unequal: No Solution
Exploring Operation: 31+34=65, Resulting Numbers: [65]
65,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 32:[61, 64], Operations: ['93/3=31', '95-31=64']
Exploring Operation: 64-61=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 61+64=125, Resulting Numbers: [125]
125,32 unequal: No Solution
Exploring Operation: 61*64=3904, Resulting Numbers: [3904]
3904,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 32:[95, 30], Operations: ['93/3=31', '61-31=30']
Exploring Operation: 95+30=125, Resulting Numbers: [125]
125,32 unequal: No Solution
Exploring Operation: 95*30=2850, Resulting Numbers: [2850]
2850,32 unequal: No Solution
Exploring Operation: 95-30=65, Resulting Numbers: [65]
65,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 32:[61, 126], Operations: ['93/3=31', '95+31=126']
Exploring Operation: 61*126=7686, Resulting Numbers: [7686]
7686,32 unequal: No Solution
Exploring Operation: 61+126=187, Resulting Numbers: [187]
187,32 unequal: No Solution
Exploring Operation: 126-61=65, Resulting Numbers: [65]
65,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,4
Current State: 32:[95, 92], Operations: ['93/3=31', '61+31=92']
Exploring Operation: 95*92=8740, Resulting Numbers: [8740]
8740,32 unequal: No Solution
Exploring Operation: 95+92=187, Resulting Numbers: [187]
187,32 unequal: No Solution
Exploring Operation: 95-92=3, Resulting Numbers: [3]
3,32 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: 32:[61, 95, 90], Operations: ['93-3=90']
Exploring Operation: 95-61=34, Resulting Numbers: [90, 34]
Generated Node #0,4,0: 32:[90, 34] Operation: 95-61=34
Exploring Operation: 90-61=29, Resulting Numbers: [95, 29]
Generated Node #0,4,1: 32:[95, 29] Operation: 90-61=29
Exploring Operation: 61+90=151, Resulting Numbers: [95, 151]
Generated Node #0,4,2: 32:[95, 151] Operation: 61+90=151
Exploring Operation: 95-90=5, Resulting Numbers: [61, 5]
Generated Node #0,4,3: 32:[61, 5] Operation: 95-90=5
Exploring Operation: 61+95=156, Resulting Numbers: [90, 156]
Generated Node #0,4,4: 32:[90, 156] Operation: 61+95=156
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 32:[61, 5], Operations: ['93-3=90', '95-90=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,0
Current State: 32:[90, 34], Operations: ['93-3=90', '95-61=34']
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 90+34=124, Resulting Numbers: [124]
124,32 unequal: No Solution
Exploring Operation: 90*34=3060, Resulting Numbers: [3060]
3060,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,1
Current State: 32:[95, 29], Operations: ['93-3=90', '90-61=29']
Exploring Operation: 95-29=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 95+29=124, Resulting Numbers: [124]
124,32 unequal: No Solution
Exploring Operation: 95*29=2755, Resulting Numbers: [2755]
2755,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,2
Current State: 32:[95, 151], Operations: ['93-3=90', '61+90=151']
Exploring Operation: 151-95=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 95+151=246, Resulting Numbers: [246]
246,32 unequal: No Solution
Exploring Operation: 95*151=14345, Resulting Numbers: [14345]
14345,32 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4,4
Current State: 32:[90, 156], Operations: ['93-3=90', '61+95=156']
Exploring Operation: 156-90=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 90+156=246, Resulting Numbers: [246]
246,32 unequal: No Solution
Exploring Operation: 90*156=14040, Resulting Numbers: [14040]
14040,32 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: 32:[34, 31], Operations: ['95-61=34', '93/3=31']
Exploring Operation: 34+31=65, Resulting Numbers: [65]
65,32 unequal: No Solution
Exploring Operation: 34*31=1054, Resulting Numbers: [1054]
1054,32 unequal: No Solution
Exploring Operation: 34-31=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Moving to Node #0,2,4
Current State: 32:[2, 58], Operations: ['95-93=2', '61-3=58']
Exploring Operation: 58-2=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 58/2=29, Resulting Numbers: [29]
29,32 unequal: No Solution
Exploring Operation: 2+58=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 2*58=116, Resulting Numbers: [116]
116,32 unequal: No Solution
Moving to Node #0,1,4
Current State: 32:[3, 59], Operations: ['95-61=34', '93-34=59']
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,32 unequal: No Solution
Moving to Node #0,2,2
Current State: 32:[3, 59], Operations: ['95-93=2', '61-2=59']
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 3*59=177, Resulting Numbers: [177]
177,32 unequal: No Solution
Moving to Node #0,2,0
Current State: 32:[61, 5], Operations: ['95-93=2', '3+2=5']
Exploring Operation: 61*5=305, Resulting Numbers: [305]
305,32 unequal: No Solution
Exploring Operation: 61+5=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Moving to Node #0,2,1
Current State: 32:[61, 1], Operations: ['95-93=2', '3-2=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 61*1=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Exploring Operation: 61+1=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 61/1=61, Resulting Numbers: [61]
61,32 unequal: No Solution
Moving to Node #0,2,3
Current State: 32:[61, 6], Operations: ['95-93=2', '3*2=6']
Exploring Operation: 61+6=67, Resulting Numbers: [67]
67,32 unequal: No Solution
Exploring Operation: 61*6=366, Resulting Numbers: [366]
366,32 unequal: No Solution
Exploring Operation: 61-6=55, Resulting Numbers: [55]
55,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[3, 63], Operations: ['93-61=32', '95-32=63']
Exploring Operation: 3+63=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,32 unequal: No Solution
Exploring Operation: 3*63=189, Resulting Numbers: [189]
189,32 unequal: No Solution
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Moving to Node #0,0,3
Current State: 32:[32, 92], Operations: ['93-61=32', '95-3=92']
Exploring Operation: 32*92=2944, Resulting Numbers: [2944]
2944,32 unequal: No Solution
Exploring Operation: 32+92=124, Resulting Numbers: [124]
124,32 unequal: No Solution
Exploring Operation: 92-32=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Moving to Node #0,1,0
Current State: 32:[34, 90], Operations: ['95-61=34', '93-3=90']
Exploring Operation: 34*90=3060, Resulting Numbers: [3060]
3060,32 unequal: No Solution
Exploring Operation: 90-34=56, Resulting Numbers: [56]
56,32 unequal: No Solution
Exploring Operation: 34+90=124, Resulting Numbers: [124]
124,32 unequal: No Solution
Moving to Node #0,1,1
Current State: 32:[93, 31], Operations: ['95-61=34', '34-3=31']
Exploring Operation: 93*31=2883, Resulting Numbers: [2883]
2883,32 unequal: No Solution
Exploring Operation: 93/31=3, Resulting Numbers: [3]
3,32 unequal: No Solution
Exploring Operation: 93-31=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Exploring Operation: 93+31=124, Resulting Numbers: [124]
124,32 unequal: No Solution
Moving to Node #0,0,2
Current State: 32:[32, 98], Operations: ['93-61=32', '3+95=98']
Exploring Operation: 98-32=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 32*98=3136, Resulting Numbers: [3136]
3136,32 unequal: No Solution
Exploring Operation: 32+98=130, Resulting Numbers: [130]
130,32 unequal: No Solution
Moving to Node #0,0,4
Current State: 32:[95, 35], Operations: ['93-61=32', '3+32=35']
Exploring Operation: 95+35=130, Resulting Numbers: [130]
130,32 unequal: No Solution
Exploring Operation: 95-35=60, Resulting Numbers: [60]
60,32 unequal: No Solution
Exploring Operation: 95*35=3325, Resulting Numbers: [3325]
3325,32 unequal: No Solution
Moving to Node #0,1,3
Current State: 32:[34, 96], Operations: ['95-61=34', '93+3=96']
Exploring Operation: 34+96=130, Resulting Numbers: [130]
130,32 unequal: No Solution
Exploring Operation: 34*96=3264, Resulting Numbers: [3264]
3264,32 unequal: No Solution
Exploring Operation: 96-34=62, Resulting Numbers: [62]
62,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[95, 29], Operations: ['93-61=32', '32-3=29']
Exploring Operation: 95*29=2755, Resulting Numbers: [2755]
2755,32 unequal: No Solution
Exploring Operation: 95-29=66, Resulting Numbers: [66]
66,32 unequal: No Solution
Exploring Operation: 95+29=124, Resulting Numbers: [124]
124,32 unequal: No Solution
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
29,
58,
12,
72
] | 58
|
[
"58/29=2",
"72-12=60",
"60-2=58"
] |
Current State: 58:[29, 58, 12, 72], Operations: []
Exploring Operation: 58/29=2, Resulting Numbers: [12, 72, 2]
Generated Node #2: [12, 72, 2] from Operation: 58/29=2
Current State: 58:[12, 72, 2], Operations: ['58/29=2']
Exploring Operation: 72-12=60, Resulting Numbers: [2, 60]
Generated Node #3: [2, 60] from Operation: 72-12=60
Current State: 58:[2, 60], Operations: ['58/29=2', '72-12=60']
Exploring Operation: 60-2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[29, 58, 12, 72], Operations: []
Exploring Operation: 72/12=6, Resulting Numbers: [29, 58, 6]
Generated Node #0,0: 58:[29, 58, 6] Operation: 72/12=6
Exploring Operation: 72-12=60, Resulting Numbers: [29, 58, 60]
Generated Node #0,1: 58:[29, 58, 60] Operation: 72-12=60
Moving to Node #0,1
Current State: 58:[29, 58, 60], Operations: ['72-12=60']
Exploring Operation: 58-29=29, Resulting Numbers: [60, 29]
Generated Node #0,1,0: 58:[60, 29] Operation: 58-29=29
Exploring Operation: 60-58=2, Resulting Numbers: [29, 2]
Generated Node #0,1,1: 58:[29, 2] Operation: 60-58=2
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 58:[29, 2], Operations: ['72-12=60', '60-58=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,58 unequal: No Solution
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[29, 58, 12, 72], Operations: []
Exploring Operation: 72-12=60, Resulting Numbers: [29, 58, 60]
Generated Node #0,1: 58:[29, 58, 60] Operation: 72-12=60
Moving to Node #0,1
Current State: 58:[29, 58, 60], Operations: ['72-12=60']
Exploring Operation: 60-58=2, Resulting Numbers: [29, 2]
Generated Node #0,1,1: 58:[29, 2] Operation: 60-58=2
Moving to Node #0,1,1
Current State: 58:[29, 2], Operations: ['72-12=60', '60-58=2']
Exploring Operation: 29*2=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.991319
|
hs_2
|
mult_heuristic
|
[
4,
46,
30,
25
] | 99
|
[
"4*30=120",
"46-25=21",
"120-21=99"
] |
Current State: 99:[4, 46, 30, 25], Operations: []
Exploring Operation: 4*30=120, Resulting Numbers: [46, 25, 120]
Generated Node #2: [46, 25, 120] from Operation: 4*30=120
Current State: 99:[46, 25, 120], Operations: ['4*30=120']
Exploring Operation: 46-25=21, Resulting Numbers: [120, 21]
Generated Node #3: [120, 21] from Operation: 46-25=21
Current State: 99:[120, 21], Operations: ['4*30=120', '46-25=21']
Exploring Operation: 120-21=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4
|
Current State: 99:[4, 46, 30, 25], Operations: []
Exploring Operation: 30-25=5, Resulting Numbers: [4, 46, 5]
Generated Node #0,0: 99:[4, 46, 5] Operation: 30-25=5
Exploring Operation: 4*25=100, Resulting Numbers: [46, 30, 100]
Generated Node #0,1: 99:[46, 30, 100] Operation: 4*25=100
Exploring Operation: 46-25=21, Resulting Numbers: [4, 30, 21]
Generated Node #0,2: 99:[4, 30, 21] Operation: 46-25=21
Exploring Operation: 46-30=16, Resulting Numbers: [4, 25, 16]
Generated Node #0,3: 99:[4, 25, 16] Operation: 46-30=16
Moving to Node #0,2
Current State: 99:[4, 30, 21], Operations: ['46-25=21']
Exploring Operation: 4+30=34, Resulting Numbers: [21, 34]
Generated Node #0,2,0: 99:[21, 34] Operation: 4+30=34
Exploring Operation: 30-21=9, Resulting Numbers: [4, 9]
Generated Node #0,2,1: 99:[4, 9] Operation: 30-21=9
Exploring Operation: 21-4=17, Resulting Numbers: [30, 17]
Generated Node #0,2,2: 99:[30, 17] Operation: 21-4=17
Exploring Operation: 4+21=25, Resulting Numbers: [30, 25]
Generated Node #0,2,3: 99:[30, 25] Operation: 4+21=25
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 99:[4, 9], Operations: ['46-25=21', '30-21=9']
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 99:[30, 17], Operations: ['46-25=21', '21-4=17']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 30*17=510, Resulting Numbers: [510]
510,99 unequal: No Solution
Exploring Operation: 30+17=47, Resulting Numbers: [47]
47,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 99:[21, 34], Operations: ['46-25=21', '4+30=34']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 21*34=714, Resulting Numbers: [714]
714,99 unequal: No Solution
Exploring Operation: 21+34=55, Resulting Numbers: [55]
55,99 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 99:[30, 25], Operations: ['46-25=21', '4+21=25']
Exploring Operation: 30+25=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 30*25=750, Resulting Numbers: [750]
750,99 unequal: No Solution
Exploring Operation: 30-25=5, Resulting Numbers: [5]
5,99 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: 99:[4, 25, 16], Operations: ['46-30=16']
Exploring Operation: 25-16=9, Resulting Numbers: [4, 9]
Generated Node #0,3,0: 99:[4, 9] Operation: 25-16=9
Exploring Operation: 16-4=12, Resulting Numbers: [25, 12]
Generated Node #0,3,1: 99:[25, 12] Operation: 16-4=12
Exploring Operation: 4*25=100, Resulting Numbers: [16, 100]
Generated Node #0,3,2: 99:[16, 100] Operation: 4*25=100
Exploring Operation: 4+25=29, Resulting Numbers: [16, 29]
Generated Node #0,3,3: 99:[16, 29] Operation: 4+25=29
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 99:[4, 9], Operations: ['46-30=16', '25-16=9']
Exploring Operation: 9-4=5, Resulting Numbers: [5]
5,99 unequal: No Solution
Exploring Operation: 4+9=13, Resulting Numbers: [13]
13,99 unequal: No Solution
Exploring Operation: 4*9=36, Resulting Numbers: [36]
36,99 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 #0,3,2
Current State: 99:[16, 100], Operations: ['46-30=16', '4*25=100']
Exploring Operation: 16*100=1600, Resulting Numbers: [1600]
1600,99 unequal: No Solution
Exploring Operation: 100-16=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 16+100=116, Resulting Numbers: [116]
116,99 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:[25, 12], Operations: ['46-30=16', '16-4=12']
Exploring Operation: 25+12=37, Resulting Numbers: [37]
37,99 unequal: No Solution
Exploring Operation: 25*12=300, Resulting Numbers: [300]
300,99 unequal: No Solution
Exploring Operation: 25-12=13, Resulting Numbers: [13]
13,99 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:[16, 29], Operations: ['46-30=16', '4+25=29']
Exploring Operation: 16*29=464, Resulting Numbers: [464]
464,99 unequal: No Solution
Exploring Operation: 16+29=45, Resulting Numbers: [45]
45,99 unequal: No Solution
Exploring Operation: 29-16=13, Resulting Numbers: [13]
13,99 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: 99:[4, 46, 5], Operations: ['30-25=5']
Exploring Operation: 46-4=42, Resulting Numbers: [5, 42]
Generated Node #0,0,0: 99:[5, 42] Operation: 46-4=42
Exploring Operation: 5-4=1, Resulting Numbers: [46, 1]
Generated Node #0,0,1: 99:[46, 1] Operation: 5-4=1
Exploring Operation: 4+5=9, Resulting Numbers: [46, 9]
Generated Node #0,0,2: 99:[46, 9] Operation: 4+5=9
Exploring Operation: 46-5=41, Resulting Numbers: [4, 41]
Generated Node #0,0,3: 99:[4, 41] Operation: 46-5=41
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 99:[4, 41], Operations: ['30-25=5', '46-5=41']
Exploring Operation: 4+41=45, Resulting Numbers: [45]
45,99 unequal: No Solution
Exploring Operation: 4*41=164, Resulting Numbers: [164]
164,99 unequal: No Solution
Exploring Operation: 41-4=37, Resulting Numbers: [37]
37,99 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 #0,0,0
Current State: 99:[5, 42], Operations: ['30-25=5', '46-4=42']
Exploring Operation: 5+42=47, Resulting Numbers: [47]
47,99 unequal: No Solution
Exploring Operation: 5*42=210, Resulting Numbers: [210]
210,99 unequal: No Solution
Exploring Operation: 42-5=37, Resulting Numbers: [37]
37,99 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 #0,0,2
Current State: 99:[46, 9], Operations: ['30-25=5', '4+5=9']
Exploring Operation: 46+9=55, Resulting Numbers: [55]
55,99 unequal: No Solution
Exploring Operation: 46*9=414, Resulting Numbers: [414]
414,99 unequal: No Solution
Exploring Operation: 46-9=37, Resulting Numbers: [37]
37,99 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 #0,0,1
Current State: 99:[46, 1], Operations: ['30-25=5', '5-4=1']
Exploring Operation: 46/1=46, Resulting Numbers: [46]
46,99 unequal: No Solution
Exploring Operation: 46-1=45, Resulting Numbers: [45]
45,99 unequal: No Solution
Exploring Operation: 46+1=47, Resulting Numbers: [47]
47,99 unequal: No Solution
Exploring Operation: 46*1=46, Resulting Numbers: [46]
46,99 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:[46, 30, 100], Operations: ['4*25=100']
Exploring Operation: 100-30=70, Resulting Numbers: [46, 70]
Generated Node #0,1,0: 99:[46, 70] Operation: 100-30=70
Exploring Operation: 46+30=76, Resulting Numbers: [100, 76]
Generated Node #0,1,1: 99:[100, 76] Operation: 46+30=76
Exploring Operation: 100-46=54, Resulting Numbers: [30, 54]
Generated Node #0,1,2: 99:[30, 54] Operation: 100-46=54
Exploring Operation: 46-30=16, Resulting Numbers: [100, 16]
Generated Node #0,1,3: 99:[100, 16] Operation: 46-30=16
Moving to Node #0,1,3
Current State: 99:[100, 16], Operations: ['4*25=100', '46-30=16']
Exploring Operation: 100*16=1600, Resulting Numbers: [1600]
1600,99 unequal: No Solution
Exploring Operation: 100+16=116, Resulting Numbers: [116]
116,99 unequal: No Solution
Exploring Operation: 100-16=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Moving to Node #0,1,2
Current State: 99:[30, 54], Operations: ['4*25=100', '100-46=54']
Exploring Operation: 30*54=1620, Resulting Numbers: [1620]
1620,99 unequal: No Solution
Exploring Operation: 30+54=84, Resulting Numbers: [84]
84,99 unequal: No Solution
Exploring Operation: 54-30=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Moving to Node #0,1,1
Current State: 99:[100, 76], Operations: ['4*25=100', '46+30=76']
Exploring Operation: 100-76=24, Resulting Numbers: [24]
24,99 unequal: No Solution
Exploring Operation: 100+76=176, Resulting Numbers: [176]
176,99 unequal: No Solution
Exploring Operation: 100*76=7600, Resulting Numbers: [7600]
7600,99 unequal: No Solution
Moving to Node #0,1,0
Current State: 99:[46, 70], Operations: ['4*25=100', '100-30=70']
Exploring Operation: 46+70=116, Resulting Numbers: [116]
116,99 unequal: No Solution
Exploring Operation: 46*70=3220, Resulting Numbers: [3220]
3220,99 unequal: No Solution
Exploring Operation: 70-46=24, Resulting Numbers: [24]
24,99 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
18,
78,
64,
8
] | 52
|
[
"18+78=96",
"96/8=12",
"64-12=52"
] |
Current State: 52:[18, 78, 64, 8], Operations: []
Exploring Operation: 18+78=96, Resulting Numbers: [64, 8, 96]
Generated Node #2: [64, 8, 96] from Operation: 18+78=96
Current State: 52:[64, 8, 96], Operations: ['18+78=96']
Exploring Operation: 96/8=12, Resulting Numbers: [64, 12]
Generated Node #3: [64, 12] from Operation: 96/8=12
Current State: 52:[64, 12], Operations: ['18+78=96', '96/8=12']
Exploring Operation: 64-12=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4
|
Current State: 52:[18, 78, 64, 8], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [18, 78, 8]
Generated Node #0,0: 52:[18, 78, 8] Operation: 64/8=8
Exploring Operation: 78-18=60, Resulting Numbers: [64, 8, 60]
Generated Node #0,1: 52:[64, 8, 60] Operation: 78-18=60
Exploring Operation: 64-8=56, Resulting Numbers: [18, 78, 56]
Generated Node #0,2: 52:[18, 78, 56] Operation: 64-8=56
Exploring Operation: 78-8=70, Resulting Numbers: [18, 64, 70]
Generated Node #0,3: 52:[18, 64, 70] Operation: 78-8=70
Exploring Operation: 78-64=14, Resulting Numbers: [18, 8, 14]
Generated Node #0,4: 52:[18, 8, 14] Operation: 78-64=14
Moving to Node #0,4
Current State: 52:[18, 8, 14], Operations: ['78-64=14']
Exploring Operation: 14-8=6, Resulting Numbers: [18, 6]
Generated Node #0,4,0: 52:[18, 6] Operation: 14-8=6
Exploring Operation: 18-8=10, Resulting Numbers: [14, 10]
Generated Node #0,4,1: 52:[14, 10] Operation: 18-8=10
Exploring Operation: 8+14=22, Resulting Numbers: [18, 22]
Generated Node #0,4,2: 52:[18, 22] Operation: 8+14=22
Exploring Operation: 18+8=26, Resulting Numbers: [14, 26]
Generated Node #0,4,3: 52:[14, 26] Operation: 18+8=26
Exploring Operation: 18-14=4, Resulting Numbers: [8, 4]
Generated Node #0,4,4: 52:[8, 4] Operation: 18-14=4
Moving to Node #0,1
Current State: 52:[64, 8, 60], Operations: ['78-18=60']
Exploring Operation: 64-8=56, Resulting Numbers: [60, 56]
Generated Node #0,1,0: 52:[60, 56] Operation: 64-8=56
Exploring Operation: 64+8=72, Resulting Numbers: [60, 72]
Generated Node #0,1,1: 52:[60, 72] Operation: 64+8=72
Exploring Operation: 64-60=4, Resulting Numbers: [8, 4]
Generated Node #0,1,2: 52:[8, 4] Operation: 64-60=4
Exploring Operation: 64/8=8, Resulting Numbers: [60, 8]
Generated Node #0,1,3: 52:[60, 8] Operation: 64/8=8
Exploring Operation: 60-8=52, Resulting Numbers: [64, 52]
Generated Node #0,1,4: 52:[64, 52] Operation: 60-8=52
Moving to Node #0,0
Current State: 52:[18, 78, 8], Operations: ['64/8=8']
Exploring Operation: 78-18=60, Resulting Numbers: [8, 60]
Generated Node #0,0,0: 52:[8, 60] Operation: 78-18=60
Exploring Operation: 78-8=70, Resulting Numbers: [18, 70]
Generated Node #0,0,1: 52:[18, 70] Operation: 78-8=70
Exploring Operation: 78+8=86, Resulting Numbers: [18, 86]
Generated Node #0,0,2: 52:[18, 86] Operation: 78+8=86
Exploring Operation: 18+8=26, Resulting Numbers: [78, 26]
Generated Node #0,0,3: 52:[78, 26] Operation: 18+8=26
Exploring Operation: 18-8=10, Resulting Numbers: [78, 10]
Generated Node #0,0,4: 52:[78, 10] Operation: 18-8=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 52:[8, 60], Operations: ['64/8=8', '78-18=60']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Moving to Node #0
Current State: 52:[18, 78, 64, 8], Operations: []
Exploring Operation: 64/8=8, Resulting Numbers: [18, 78, 8]
Generated Node #0,0: 52:[18, 78, 8] Operation: 64/8=8
Moving to Node #0,0
Current State: 52:[18, 78, 8], Operations: ['64/8=8']
Exploring Operation: 78-18=60, Resulting Numbers: [8, 60]
Generated Node #0,0,0: 52:[8, 60] Operation: 78-18=60
Moving to Node #0,0,0
Current State: 52:[8, 60], Operations: ['64/8=8', '78-18=60']
Exploring Operation: 60-8=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
Exit Sub Search at level 1
| 0.978299
|
hs_5
|
sum_heuristic
|
[
17,
3,
7,
9
] | 95
|
[
"9-3=6",
"17*6=102",
"102-7=95"
] |
Current State: 95:[17, 3, 7, 9], Operations: []
Exploring Operation: 9-3=6, Resulting Numbers: [17, 7, 6]
Generated Node #2: [17, 7, 6] from Operation: 9-3=6
Current State: 95:[17, 7, 6], Operations: ['9-3=6']
Exploring Operation: 17*6=102, Resulting Numbers: [7, 102]
Generated Node #3: [7, 102] from Operation: 17*6=102
Current State: 95:[7, 102], Operations: ['9-3=6', '17*6=102']
Exploring Operation: 102-7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4
|
Current State: 95:[17, 3, 7, 9], Operations: []
Exploring Operation: 9/3=3, Resulting Numbers: [17, 7, 3]
Generated Node #0,0: 95:[17, 7, 3] Operation: 9/3=3
Exploring Operation: 17+3=20, Resulting Numbers: [7, 9, 20]
Generated Node #0,1: 95:[7, 9, 20] Operation: 17+3=20
Exploring Operation: 9-3=6, Resulting Numbers: [17, 7, 6]
Generated Node #0,2: 95:[17, 7, 6] Operation: 9-3=6
Exploring Operation: 17-9=8, Resulting Numbers: [3, 7, 8]
Generated Node #0,3: 95:[3, 7, 8] Operation: 17-9=8
Start Sub Search at level 1: Moving to Node #0,2
Current State: 95:[17, 7, 6], Operations: ['9-3=6']
Exploring Operation: 17+7=24, Resulting Numbers: [6, 24]
Generated Node #0,2,0: 95:[6, 24] Operation: 17+7=24
Exploring Operation: 7-6=1, Resulting Numbers: [17, 1]
Generated Node #0,2,1: 95:[17, 1] Operation: 7-6=1
Exploring Operation: 17+6=23, Resulting Numbers: [7, 23]
Generated Node #0,2,2: 95:[7, 23] Operation: 17+6=23
Exploring Operation: 17-7=10, Resulting Numbers: [6, 10]
Generated Node #0,2,3: 95:[6, 10] Operation: 17-7=10
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 95:[6, 24], Operations: ['9-3=6', '17+7=24']
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 6*24=144, Resulting Numbers: [144]
144,95 unequal: No Solution
Exploring Operation: 6+24=30, Resulting Numbers: [30]
30,95 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,95 unequal: No Solution
No 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: 95:[17, 1], Operations: ['9-3=6', '7-6=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,95 unequal: No Solution
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,95 unequal: No Solution
No 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: 95:[7, 23], Operations: ['9-3=6', '17+6=23']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 7*23=161, Resulting Numbers: [161]
161,95 unequal: No Solution
Exploring Operation: 7+23=30, Resulting Numbers: [30]
30,95 unequal: No Solution
No 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: 95:[6, 10], Operations: ['9-3=6', '17-7=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,95 unequal: No Solution
Exploring Operation: 6+10=16, Resulting Numbers: [16]
16,95 unequal: No Solution
Exploring Operation: 10-6=4, Resulting Numbers: [4]
4,95 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: 95:[17, 7, 3], Operations: ['9/3=3']
Exploring Operation: 17+7=24, Resulting Numbers: [3, 24]
Generated Node #0,0,0: 95:[3, 24] Operation: 17+7=24
Exploring Operation: 17+3=20, Resulting Numbers: [7, 20]
Generated Node #0,0,1: 95:[7, 20] Operation: 17+3=20
Exploring Operation: 7*3=21, Resulting Numbers: [17, 21]
Generated Node #0,0,2: 95:[17, 21] Operation: 7*3=21
Exploring Operation: 7-3=4, Resulting Numbers: [17, 4]
Generated Node #0,0,3: 95:[17, 4] Operation: 7-3=4
Moving to Node #0,0,1
Current State: 95:[7, 20], Operations: ['9/3=3', '17+3=20']
Exploring Operation: 7*20=140, Resulting Numbers: [140]
140,95 unequal: No Solution
Exploring Operation: 20-7=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 7+20=27, Resulting Numbers: [27]
27,95 unequal: No Solution
Moving to Node #0,0,3
Current State: 95:[17, 4], Operations: ['9/3=3', '7-3=4']
Exploring Operation: 17+4=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 17-4=13, Resulting Numbers: [13]
13,95 unequal: No Solution
Exploring Operation: 17*4=68, Resulting Numbers: [68]
68,95 unequal: No Solution
Moving to Node #0,0,2
Current State: 95:[17, 21], Operations: ['9/3=3', '7*3=21']
Exploring Operation: 17*21=357, Resulting Numbers: [357]
357,95 unequal: No Solution
Exploring Operation: 17+21=38, Resulting Numbers: [38]
38,95 unequal: No Solution
Exploring Operation: 21-17=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Moving to Node #0,0,0
Current State: 95:[3, 24], Operations: ['9/3=3', '17+7=24']
Exploring Operation: 3*24=72, Resulting Numbers: [72]
72,95 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,95 unequal: No Solution
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,95 unequal: No Solution
Exploring Operation: 3+24=27, Resulting Numbers: [27]
27,95 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
Current State: 95:[7, 9, 20], Operations: ['17+3=20']
Exploring Operation: 20-9=11, Resulting Numbers: [7, 11]
Generated Node #0,1,0: 95:[7, 11] Operation: 20-9=11
Exploring Operation: 9-7=2, Resulting Numbers: [20, 2]
Generated Node #0,1,1: 95:[20, 2] Operation: 9-7=2
Exploring Operation: 7+9=16, Resulting Numbers: [20, 16]
Generated Node #0,1,2: 95:[20, 16] Operation: 7+9=16
Exploring Operation: 20-7=13, Resulting Numbers: [9, 13]
Generated Node #0,1,3: 95:[9, 13] Operation: 20-7=13
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 95:[20, 2], Operations: ['17+3=20', '9-7=2']
Exploring Operation: 20-2=18, Resulting Numbers: [18]
18,95 unequal: No Solution
Exploring Operation: 20*2=40, Resulting Numbers: [40]
40,95 unequal: No Solution
Exploring Operation: 20/2=10, Resulting Numbers: [10]
10,95 unequal: No Solution
Exploring Operation: 20+2=22, Resulting Numbers: [22]
22,95 unequal: No Solution
No 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: 95:[20, 16], Operations: ['17+3=20', '7+9=16']
Exploring Operation: 20*16=320, Resulting Numbers: [320]
320,95 unequal: No Solution
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 20+16=36, Resulting Numbers: [36]
36,95 unequal: No Solution
No 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: 95:[7, 11], Operations: ['17+3=20', '20-9=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,95 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,95 unequal: No Solution
No 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: 95:[9, 13], Operations: ['17+3=20', '20-7=13']
Exploring Operation: 13-9=4, Resulting Numbers: [4]
4,95 unequal: No Solution
Exploring Operation: 9*13=117, Resulting Numbers: [117]
117,95 unequal: No Solution
Exploring Operation: 9+13=22, Resulting Numbers: [22]
22,95 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: 95:[3, 7, 8], Operations: ['17-9=8']
Exploring Operation: 7+8=15, Resulting Numbers: [3, 15]
Generated Node #0,3,0: 95:[3, 15] Operation: 7+8=15
Exploring Operation: 7-3=4, Resulting Numbers: [8, 4]
Generated Node #0,3,1: 95:[8, 4] Operation: 7-3=4
Exploring Operation: 3*7=21, Resulting Numbers: [8, 21]
Generated Node #0,3,2: 95:[8, 21] Operation: 3*7=21
Exploring Operation: 8-3=5, Resulting Numbers: [7, 5]
Generated Node #0,3,3: 95:[7, 5] Operation: 8-3=5
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 95:[7, 5], Operations: ['17-9=8', '8-3=5']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 7+5=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 7*5=35, Resulting Numbers: [35]
35,95 unequal: No Solution
No 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: 95:[8, 4], Operations: ['17-9=8', '7-3=4']
Exploring Operation: 8*4=32, Resulting Numbers: [32]
32,95 unequal: No Solution
Exploring Operation: 8/4=2, Resulting Numbers: [2]
2,95 unequal: No Solution
Exploring Operation: 8+4=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 8-4=4, Resulting Numbers: [4]
4,95 unequal: No Solution
No 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: 95:[8, 21], Operations: ['17-9=8', '3*7=21']
Exploring Operation: 8+21=29, Resulting Numbers: [29]
29,95 unequal: No Solution
Exploring Operation: 8*21=168, Resulting Numbers: [168]
168,95 unequal: No Solution
Exploring Operation: 21-8=13, Resulting Numbers: [13]
13,95 unequal: No Solution
No 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: 95:[3, 15], Operations: ['17-9=8', '7+8=15']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,95 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,95 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,95 unequal: No Solution
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,95 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
44,
88,
1,
8
] | 14
|
[
"88/44=2",
"8-1=7",
"2*7=14"
] |
Current State: 14:[44, 88, 1, 8], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [1, 8, 2]
Generated Node #2: [1, 8, 2] from Operation: 88/44=2
Current State: 14:[1, 8, 2], Operations: ['88/44=2']
Exploring Operation: 8-1=7, Resulting Numbers: [2, 7]
Generated Node #3: [2, 7] from Operation: 8-1=7
Current State: 14:[2, 7], Operations: ['88/44=2', '8-1=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4
|
Current State: 14:[44, 88, 1, 8], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [1, 8, 2]
Generated Node #0,0: 14:[1, 8, 2] Operation: 88/44=2
Start Sub Search at level 1: Moving to Node #0,0
Current State: 14:[1, 8, 2], Operations: ['88/44=2']
Exploring Operation: 8-1=7, Resulting Numbers: [2, 7]
Generated Node #0,0,0: 14:[2, 7] Operation: 8-1=7
Moving to Node #0,0,0
Current State: 14:[2, 7], Operations: ['88/44=2', '8-1=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Moving to Node #0
Current State: 14:[44, 88, 1, 8], Operations: []
Exploring Operation: 88/44=2, Resulting Numbers: [1, 8, 2]
Generated Node #0,0: 14:[1, 8, 2] Operation: 88/44=2
Moving to Node #0,0
Current State: 14:[1, 8, 2], Operations: ['88/44=2']
Exploring Operation: 8-1=7, Resulting Numbers: [2, 7]
Generated Node #0,0,0: 14:[2, 7] Operation: 8-1=7
Moving to Node #0,0,0
Current State: 14:[2, 7], Operations: ['88/44=2', '8-1=7']
Exploring Operation: 2*7=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
81,
40,
68,
67
] | 24
|
[
"81*40=3240",
"68+67=135",
"3240/135=24"
] |
Current State: 24:[81, 40, 68, 67], Operations: []
Exploring Operation: 81*40=3240, Resulting Numbers: [68, 67, 3240]
Generated Node #2: [68, 67, 3240] from Operation: 81*40=3240
Current State: 24:[68, 67, 3240], Operations: ['81*40=3240']
Exploring Operation: 68+67=135, Resulting Numbers: [3240, 135]
Generated Node #3: [3240, 135] from Operation: 68+67=135
Current State: 24:[3240, 135], Operations: ['81*40=3240', '68+67=135']
Exploring Operation: 3240/135=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[81, 40, 68, 67], Operations: []
Exploring Operation: 81-67=14, Resulting Numbers: [40, 68, 14]
Generated Node #0,0: 24:[40, 68, 14] Operation: 81-67=14
Exploring Operation: 81-68=13, Resulting Numbers: [40, 67, 13]
Generated Node #0,1: 24:[40, 67, 13] Operation: 81-68=13
Exploring Operation: 81-40=41, Resulting Numbers: [68, 67, 41]
Generated Node #0,2: 24:[68, 67, 41] Operation: 81-40=41
Exploring Operation: 68-40=28, Resulting Numbers: [81, 67, 28]
Generated Node #0,3: 24:[81, 67, 28] Operation: 68-40=28
Exploring Operation: 68-67=1, Resulting Numbers: [81, 40, 1]
Generated Node #0,4: 24:[81, 40, 1] Operation: 68-67=1
Start Sub Search at level 1: Moving to Node #0,1
Current State: 24:[40, 67, 13], Operations: ['81-68=13']
Exploring Operation: 40+13=53, Resulting Numbers: [67, 53]
Generated Node #0,1,0: 24:[67, 53] Operation: 40+13=53
Exploring Operation: 67-13=54, Resulting Numbers: [40, 54]
Generated Node #0,1,1: 24:[40, 54] Operation: 67-13=54
Exploring Operation: 40-13=27, Resulting Numbers: [67, 27]
Generated Node #0,1,2: 24:[67, 27] Operation: 40-13=27
Exploring Operation: 67+13=80, Resulting Numbers: [40, 80]
Generated Node #0,1,3: 24:[40, 80] Operation: 67+13=80
Exploring Operation: 67-40=27, Resulting Numbers: [13, 27]
Generated Node #0,1,4: 24:[13, 27] Operation: 67-40=27
Moving to Node #0,1,4
Current State: 24:[13, 27], Operations: ['81-68=13', '67-40=27']
Exploring Operation: 13+27=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 13*27=351, Resulting Numbers: [351]
351,24 unequal: No Solution
Moving to Node #0,1,2
Current State: 24:[67, 27], Operations: ['81-68=13', '40-13=27']
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,24 unequal: No Solution
Moving to Node #0,1,1
Current State: 24:[40, 54], Operations: ['81-68=13', '67-13=54']
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,24 unequal: No Solution
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[67, 53], Operations: ['81-68=13', '40+13=53']
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 67*53=3551, Resulting Numbers: [3551]
3551,24 unequal: No Solution
Exploring Operation: 67+53=120, Resulting Numbers: [120]
120,24 unequal: No Solution
Moving to Node #0,1,3
Current State: 24:[40, 80], Operations: ['81-68=13', '67+13=80']
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Exploring Operation: 40*80=3200, Resulting Numbers: [3200]
3200,24 unequal: No Solution
Exploring Operation: 40+80=120, Resulting Numbers: [120]
120,24 unequal: No Solution
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 24:[40, 68, 14], Operations: ['81-67=14']
Exploring Operation: 68-14=54, Resulting Numbers: [40, 54]
Generated Node #0,0,0: 24:[40, 54] Operation: 68-14=54
Exploring Operation: 40-14=26, Resulting Numbers: [68, 26]
Generated Node #0,0,1: 24:[68, 26] Operation: 40-14=26
Exploring Operation: 68-40=28, Resulting Numbers: [14, 28]
Generated Node #0,0,2: 24:[14, 28] Operation: 68-40=28
Exploring Operation: 68+14=82, Resulting Numbers: [40, 82]
Generated Node #0,0,3: 24:[40, 82] Operation: 68+14=82
Exploring Operation: 40+14=54, Resulting Numbers: [68, 54]
Generated Node #0,0,4: 24:[68, 54] Operation: 40+14=54
Moving to Node #0,0,2
Current State: 24:[14, 28], Operations: ['81-67=14', '68-40=28']
Exploring Operation: 14*28=392, Resulting Numbers: [392]
392,24 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 14+28=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Moving to Node #0,0,1
Current State: 24:[68, 26], Operations: ['81-67=14', '40-14=26']
Exploring Operation: 68*26=1768, Resulting Numbers: [1768]
1768,24 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 68+26=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[40, 54], Operations: ['81-67=14', '68-14=54']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,24 unequal: No Solution
Moving to Node #0,0,3
Current State: 24:[40, 82], Operations: ['81-67=14', '68+14=82']
Exploring Operation: 82-40=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 40+82=122, Resulting Numbers: [122]
122,24 unequal: No Solution
Exploring Operation: 40*82=3280, Resulting Numbers: [3280]
3280,24 unequal: No Solution
Moving to Node #0,0,4
Current State: 24:[68, 54], Operations: ['81-67=14', '40+14=54']
Exploring Operation: 68*54=3672, Resulting Numbers: [3672]
3672,24 unequal: No Solution
Exploring Operation: 68+54=122, Resulting Numbers: [122]
122,24 unequal: No Solution
Exploring Operation: 68-54=14, Resulting Numbers: [14]
14,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 24:[81, 40, 1], Operations: ['68-67=1']
Exploring Operation: 81*1=81, Resulting Numbers: [40, 81]
Generated Node #0,4,0: 24:[40, 81] Operation: 81*1=81
Exploring Operation: 40-1=39, Resulting Numbers: [81, 39]
Generated Node #0,4,1: 24:[81, 39] Operation: 40-1=39
Exploring Operation: 81-1=80, Resulting Numbers: [40, 80]
Generated Node #0,4,2: 24:[40, 80] Operation: 81-1=80
Exploring Operation: 81-40=41, Resulting Numbers: [1, 41]
Generated Node #0,4,3: 24:[1, 41] Operation: 81-40=41
Exploring Operation: 81/1=81, Resulting Numbers: [40, 81]
Generated Node #0,4,4: 24:[40, 81] Operation: 81/1=81
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 24:[1, 41], Operations: ['68-67=1', '81-40=41']
Exploring Operation: 1*41=41, Resulting Numbers: [41]
41,24 unequal: No Solution
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,24 unequal: No Solution
Exploring Operation: 1+41=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 24:[81, 39], Operations: ['68-67=1', '40-1=39']
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,24 unequal: No Solution
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 24:[40, 80], Operations: ['68-67=1', '81-1=80']
Exploring Operation: 40*80=3200, Resulting Numbers: [3200]
3200,24 unequal: No Solution
Exploring Operation: 40+80=120, Resulting Numbers: [120]
120,24 unequal: No Solution
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 24:[40, 81], Operations: ['68-67=1', '81*1=81']
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,24 unequal: No Solution
Exploring Operation: 40*81=3240, Resulting Numbers: [3240]
3240,24 unequal: No Solution
Exploring Operation: 40+81=121, Resulting Numbers: [121]
121,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 24:[40, 81], Operations: ['68-67=1', '81/1=81']
Exploring Operation: 40+81=121, Resulting Numbers: [121]
121,24 unequal: No Solution
Exploring Operation: 40*81=3240, Resulting Numbers: [3240]
3240,24 unequal: No Solution
Exploring Operation: 81-40=41, Resulting Numbers: [41]
41,24 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 24:[68, 67, 41], Operations: ['81-40=41']
Exploring Operation: 68-67=1, Resulting Numbers: [41, 1]
Generated Node #0,2,0: 24:[41, 1] Operation: 68-67=1
Exploring Operation: 68-41=27, Resulting Numbers: [67, 27]
Generated Node #0,2,1: 24:[67, 27] Operation: 68-41=27
Exploring Operation: 68+41=109, Resulting Numbers: [67, 109]
Generated Node #0,2,2: 24:[67, 109] Operation: 68+41=109
Exploring Operation: 67-41=26, Resulting Numbers: [68, 26]
Generated Node #0,2,3: 24:[68, 26] Operation: 67-41=26
Exploring Operation: 68+67=135, Resulting Numbers: [41, 135]
Generated Node #0,2,4: 24:[41, 135] Operation: 68+67=135
Moving to Node #0,2,0
Current State: 24:[41, 1], Operations: ['81-40=41', '68-67=1']
Exploring Operation: 41*1=41, Resulting Numbers: [41]
41,24 unequal: No Solution
Exploring Operation: 41/1=41, Resulting Numbers: [41]
41,24 unequal: No Solution
Exploring Operation: 41-1=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Exploring Operation: 41+1=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Moving to Node #0,2,3
Current State: 24:[68, 26], Operations: ['81-40=41', '67-41=26']
Exploring Operation: 68+26=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Exploring Operation: 68-26=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 68*26=1768, Resulting Numbers: [1768]
1768,24 unequal: No Solution
Moving to Node #0,2,1
Current State: 24:[67, 27], Operations: ['81-40=41', '68-41=27']
Exploring Operation: 67-27=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Exploring Operation: 67*27=1809, Resulting Numbers: [1809]
1809,24 unequal: No Solution
Exploring Operation: 67+27=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[67, 109], Operations: ['81-40=41', '68+41=109']
Exploring Operation: 67*109=7303, Resulting Numbers: [7303]
7303,24 unequal: No Solution
Exploring Operation: 109-67=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 67+109=176, Resulting Numbers: [176]
176,24 unequal: No Solution
Moving to Node #0,2,4
Current State: 24:[41, 135], Operations: ['81-40=41', '68+67=135']
Exploring Operation: 41+135=176, Resulting Numbers: [176]
176,24 unequal: No Solution
Exploring Operation: 135-41=94, Resulting Numbers: [94]
94,24 unequal: No Solution
Exploring Operation: 41*135=5535, Resulting Numbers: [5535]
5535,24 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3
Current State: 24:[81, 67, 28], Operations: ['68-40=28']
Exploring Operation: 81+28=109, Resulting Numbers: [67, 109]
Generated Node #0,3,0: 24:[67, 109] Operation: 81+28=109
Exploring Operation: 81+67=148, Resulting Numbers: [28, 148]
Generated Node #0,3,1: 24:[28, 148] Operation: 81+67=148
Exploring Operation: 81-28=53, Resulting Numbers: [67, 53]
Generated Node #0,3,2: 24:[67, 53] Operation: 81-28=53
Exploring Operation: 67-28=39, Resulting Numbers: [81, 39]
Generated Node #0,3,3: 24:[81, 39] Operation: 67-28=39
Exploring Operation: 81-67=14, Resulting Numbers: [28, 14]
Generated Node #0,3,4: 24:[28, 14] Operation: 81-67=14
Moving to Node #0,3,4
Current State: 24:[28, 14], Operations: ['68-40=28', '81-67=14']
Exploring Operation: 28*14=392, Resulting Numbers: [392]
392,24 unequal: No Solution
Exploring Operation: 28+14=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 28/14=2, Resulting Numbers: [2]
2,24 unequal: No Solution
Exploring Operation: 28-14=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Moving to Node #0,3,3
Current State: 24:[81, 39], Operations: ['68-40=28', '67-28=39']
Exploring Operation: 81+39=120, Resulting Numbers: [120]
120,24 unequal: No Solution
Exploring Operation: 81-39=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Exploring Operation: 81*39=3159, Resulting Numbers: [3159]
3159,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[67, 53], Operations: ['68-40=28', '81-28=53']
Exploring Operation: 67*53=3551, Resulting Numbers: [3551]
3551,24 unequal: No Solution
Exploring Operation: 67-53=14, Resulting Numbers: [14]
14,24 unequal: No Solution
Exploring Operation: 67+53=120, Resulting Numbers: [120]
120,24 unequal: No Solution
Moving to Node #0,3,0
Current State: 24:[67, 109], Operations: ['68-40=28', '81+28=109']
Exploring Operation: 67*109=7303, Resulting Numbers: [7303]
7303,24 unequal: No Solution
Exploring Operation: 67+109=176, Resulting Numbers: [176]
176,24 unequal: No Solution
Exploring Operation: 109-67=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[28, 148], Operations: ['68-40=28', '81+67=148']
Exploring Operation: 148-28=120, Resulting Numbers: [120]
120,24 unequal: No Solution
Exploring Operation: 28*148=4144, Resulting Numbers: [4144]
4144,24 unequal: No Solution
Exploring Operation: 28+148=176, Resulting Numbers: [176]
176,24 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
|
[
92,
46,
70,
2
] | 35
|
[
"92+70=162",
"162/2=81",
"81-46=35"
] |
Current State: 35:[92, 46, 70, 2], Operations: []
Exploring Operation: 92+70=162, Resulting Numbers: [46, 2, 162]
Generated Node #2: [46, 2, 162] from Operation: 92+70=162
Current State: 35:[46, 2, 162], Operations: ['92+70=162']
Exploring Operation: 162/2=81, Resulting Numbers: [46, 81]
Generated Node #3: [46, 81] from Operation: 162/2=81
Current State: 35:[46, 81], Operations: ['92+70=162', '162/2=81']
Exploring Operation: 81-46=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4
|
Current State: 35:[92, 46, 70, 2], Operations: []
Exploring Operation: 92/46=2, Resulting Numbers: [70, 2, 2]
Generated Node #0,0: 35:[70, 2, 2] Operation: 92/46=2
Exploring Operation: 92-46=46, Resulting Numbers: [70, 2, 46]
Generated Node #0,1: 35:[70, 2, 46] Operation: 92-46=46
Exploring Operation: 92-70=22, Resulting Numbers: [46, 2, 22]
Generated Node #0,2: 35:[46, 2, 22] Operation: 92-70=22
Exploring Operation: 92/2=46, Resulting Numbers: [46, 70, 46]
Generated Node #0,3: 35:[46, 70, 46] Operation: 92/2=46
Moving to Node #0,2
Current State: 35:[46, 2, 22], Operations: ['92-70=22']
Exploring Operation: 22/2=11, Resulting Numbers: [46, 11]
Generated Node #0,2,0: 35:[46, 11] Operation: 22/2=11
Exploring Operation: 46-2=44, Resulting Numbers: [22, 44]
Generated Node #0,2,1: 35:[22, 44] Operation: 46-2=44
Exploring Operation: 2*22=44, Resulting Numbers: [46, 44]
Generated Node #0,2,2: 35:[46, 44] Operation: 2*22=44
Exploring Operation: 46-22=24, Resulting Numbers: [2, 24]
Generated Node #0,2,3: 35:[2, 24] Operation: 46-22=24
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 35:[2, 24], Operations: ['92-70=22', '46-22=24']
Exploring Operation: 2*24=48, Resulting Numbers: [48]
48,35 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,35 unequal: No Solution
Exploring Operation: 2+24=26, Resulting Numbers: [26]
26,35 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,35 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 #0,2,0
Current State: 35:[46, 11], Operations: ['92-70=22', '22/2=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Moving to Node #0
Current State: 35:[92, 46, 70, 2], Operations: []
Exploring Operation: 92-70=22, Resulting Numbers: [46, 2, 22]
Generated Node #0,2: 35:[46, 2, 22] Operation: 92-70=22
Moving to Node #0,2
Current State: 35:[46, 2, 22], Operations: ['92-70=22']
Exploring Operation: 22/2=11, Resulting Numbers: [46, 11]
Generated Node #0,2,0: 35:[46, 11] Operation: 22/2=11
Moving to Node #0,2,0
Current State: 35:[46, 11], Operations: ['92-70=22', '22/2=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_4
|
mult_heuristic
|
[
44,
40,
51,
22
] | 89
|
[
"44/22=2",
"40+51=91",
"91-2=89"
] |
Current State: 89:[44, 40, 51, 22], Operations: []
Exploring Operation: 44/22=2, Resulting Numbers: [40, 51, 2]
Generated Node #2: [40, 51, 2] from Operation: 44/22=2
Current State: 89:[40, 51, 2], Operations: ['44/22=2']
Exploring Operation: 40+51=91, Resulting Numbers: [2, 91]
Generated Node #3: [2, 91] from Operation: 40+51=91
Current State: 89:[2, 91], Operations: ['44/22=2', '40+51=91']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4
|
Current State: 89:[44, 40, 51, 22], Operations: []
Exploring Operation: 40+22=62, Resulting Numbers: [44, 51, 62]
Generated Node #0,0: 89:[44, 51, 62] Operation: 40+22=62
Exploring Operation: 44+22=66, Resulting Numbers: [40, 51, 66]
Generated Node #0,1: 89:[40, 51, 66] Operation: 44+22=66
Exploring Operation: 51+22=73, Resulting Numbers: [44, 40, 73]
Generated Node #0,2: 89:[44, 40, 73] Operation: 51+22=73
Exploring Operation: 44+40=84, Resulting Numbers: [51, 22, 84]
Generated Node #0,3: 89:[51, 22, 84] Operation: 44+40=84
Start Sub Search at level 1: Moving to Node #0,0
Current State: 89:[44, 51, 62], Operations: ['40+22=62']
Exploring Operation: 51-44=7, Resulting Numbers: [62, 7]
Generated Node #0,0,0: 89:[62, 7] Operation: 51-44=7
Exploring Operation: 44+62=106, Resulting Numbers: [51, 106]
Generated Node #0,0,1: 89:[51, 106] Operation: 44+62=106
Exploring Operation: 44+51=95, Resulting Numbers: [62, 95]
Generated Node #0,0,2: 89:[62, 95] Operation: 44+51=95
Exploring Operation: 51+62=113, Resulting Numbers: [44, 113]
Generated Node #0,0,3: 89:[44, 113] Operation: 51+62=113
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 89:[62, 95], Operations: ['40+22=62', '44+51=95']
Exploring Operation: 95-62=33, Resulting Numbers: [33]
33,89 unequal: No Solution
Exploring Operation: 62*95=5890, Resulting Numbers: [5890]
5890,89 unequal: No Solution
Exploring Operation: 62+95=157, Resulting Numbers: [157]
157,89 unequal: No Solution
No 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: 89:[51, 106], Operations: ['40+22=62', '44+62=106']
Exploring Operation: 51*106=5406, Resulting Numbers: [5406]
5406,89 unequal: No Solution
Exploring Operation: 106-51=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 51+106=157, Resulting Numbers: [157]
157,89 unequal: No Solution
No 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: 89:[44, 113], Operations: ['40+22=62', '51+62=113']
Exploring Operation: 113-44=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 44+113=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 44*113=4972, Resulting Numbers: [4972]
4972,89 unequal: No Solution
No 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: 89:[62, 7], Operations: ['40+22=62', '51-44=7']
Exploring Operation: 62*7=434, Resulting Numbers: [434]
434,89 unequal: No Solution
Exploring Operation: 62+7=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,89 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: 89:[40, 51, 66], Operations: ['44+22=66']
Exploring Operation: 51+66=117, Resulting Numbers: [40, 117]
Generated Node #0,1,0: 89:[40, 117] Operation: 51+66=117
Exploring Operation: 40+51=91, Resulting Numbers: [66, 91]
Generated Node #0,1,1: 89:[66, 91] Operation: 40+51=91
Exploring Operation: 40+66=106, Resulting Numbers: [51, 106]
Generated Node #0,1,2: 89:[51, 106] Operation: 40+66=106
Exploring Operation: 51-40=11, Resulting Numbers: [66, 11]
Generated Node #0,1,3: 89:[66, 11] Operation: 51-40=11
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 89:[66, 91], Operations: ['44+22=66', '40+51=91']
Exploring Operation: 91-66=25, Resulting Numbers: [25]
25,89 unequal: No Solution
Exploring Operation: 66*91=6006, Resulting Numbers: [6006]
6006,89 unequal: No Solution
Exploring Operation: 66+91=157, Resulting Numbers: [157]
157,89 unequal: No Solution
No 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: 89:[51, 106], Operations: ['44+22=66', '40+66=106']
Exploring Operation: 106-51=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 51+106=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 51*106=5406, Resulting Numbers: [5406]
5406,89 unequal: No Solution
No 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: 89:[40, 117], Operations: ['44+22=66', '51+66=117']
Exploring Operation: 117-40=77, Resulting Numbers: [77]
77,89 unequal: No Solution
Exploring Operation: 40+117=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 40*117=4680, Resulting Numbers: [4680]
4680,89 unequal: No Solution
No 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: 89:[66, 11], Operations: ['44+22=66', '51-40=11']
Exploring Operation: 66*11=726, Resulting Numbers: [726]
726,89 unequal: No Solution
Exploring Operation: 66-11=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 66+11=77, Resulting Numbers: [77]
77,89 unequal: No Solution
Exploring Operation: 66/11=6, Resulting Numbers: [6]
6,89 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: 89:[44, 40, 73], Operations: ['51+22=73']
Exploring Operation: 44-40=4, Resulting Numbers: [73, 4]
Generated Node #0,2,0: 89:[73, 4] Operation: 44-40=4
Exploring Operation: 40+73=113, Resulting Numbers: [44, 113]
Generated Node #0,2,1: 89:[44, 113] Operation: 40+73=113
Exploring Operation: 44+73=117, Resulting Numbers: [40, 117]
Generated Node #0,2,2: 89:[40, 117] Operation: 44+73=117
Exploring Operation: 44+40=84, Resulting Numbers: [73, 84]
Generated Node #0,2,3: 89:[73, 84] Operation: 44+40=84
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 89:[73, 84], Operations: ['51+22=73', '44+40=84']
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 73*84=6132, Resulting Numbers: [6132]
6132,89 unequal: No Solution
Exploring Operation: 73+84=157, Resulting Numbers: [157]
157,89 unequal: No Solution
No 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: 89:[44, 113], Operations: ['51+22=73', '40+73=113']
Exploring Operation: 44+113=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 113-44=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 44*113=4972, Resulting Numbers: [4972]
4972,89 unequal: No Solution
No 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: 89:[40, 117], Operations: ['51+22=73', '44+73=117']
Exploring Operation: 40+117=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 40*117=4680, Resulting Numbers: [4680]
4680,89 unequal: No Solution
Exploring Operation: 117-40=77, Resulting Numbers: [77]
77,89 unequal: No Solution
No 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: 89:[73, 4], Operations: ['51+22=73', '44-40=4']
Exploring Operation: 73-4=69, Resulting Numbers: [69]
69,89 unequal: No Solution
Exploring Operation: 73*4=292, Resulting Numbers: [292]
292,89 unequal: No Solution
Exploring Operation: 73+4=77, Resulting Numbers: [77]
77,89 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: 89:[51, 22, 84], Operations: ['44+40=84']
Exploring Operation: 84-22=62, Resulting Numbers: [51, 62]
Generated Node #0,3,0: 89:[51, 62] Operation: 84-22=62
Exploring Operation: 51+22=73, Resulting Numbers: [84, 73]
Generated Node #0,3,1: 89:[84, 73] Operation: 51+22=73
Exploring Operation: 22+84=106, Resulting Numbers: [51, 106]
Generated Node #0,3,2: 89:[51, 106] Operation: 22+84=106
Exploring Operation: 51-22=29, Resulting Numbers: [84, 29]
Generated Node #0,3,3: 89:[84, 29] Operation: 51-22=29
Moving to Node #0,3,1
Current State: 89:[84, 73], Operations: ['44+40=84', '51+22=73']
Exploring Operation: 84*73=6132, Resulting Numbers: [6132]
6132,89 unequal: No Solution
Exploring Operation: 84+73=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 84-73=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Moving to Node #0,3,2
Current State: 89:[51, 106], Operations: ['44+40=84', '22+84=106']
Exploring Operation: 106-51=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 51+106=157, Resulting Numbers: [157]
157,89 unequal: No Solution
Exploring Operation: 51*106=5406, Resulting Numbers: [5406]
5406,89 unequal: No Solution
Moving to Node #0,3,3
Current State: 89:[84, 29], Operations: ['44+40=84', '51-22=29']
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,89 unequal: No Solution
Exploring Operation: 84*29=2436, Resulting Numbers: [2436]
2436,89 unequal: No Solution
Exploring Operation: 84+29=113, Resulting Numbers: [113]
113,89 unequal: No Solution
Moving to Node #0,3,0
Current State: 89:[51, 62], Operations: ['44+40=84', '84-22=62']
Exploring Operation: 62-51=11, Resulting Numbers: [11]
11,89 unequal: No Solution
Exploring Operation: 51*62=3162, Resulting Numbers: [3162]
3162,89 unequal: No Solution
Exploring Operation: 51+62=113, Resulting Numbers: [113]
113,89 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
|
[
67,
99,
39,
46
] | 64
|
[
"99+39=138",
"138/46=3",
"67-3=64"
] |
Current State: 64:[67, 99, 39, 46], Operations: []
Exploring Operation: 99+39=138, Resulting Numbers: [67, 46, 138]
Generated Node #2: [67, 46, 138] from Operation: 99+39=138
Current State: 64:[67, 46, 138], Operations: ['99+39=138']
Exploring Operation: 138/46=3, Resulting Numbers: [67, 3]
Generated Node #3: [67, 3] from Operation: 138/46=3
Current State: 64:[67, 3], Operations: ['99+39=138', '138/46=3']
Exploring Operation: 67-3=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4
|
Current State: 64:[67, 99, 39, 46], Operations: []
Exploring Operation: 99-67=32, Resulting Numbers: [39, 46, 32]
Generated Node #0,0: 64:[39, 46, 32] Operation: 99-67=32
Exploring Operation: 99-39=60, Resulting Numbers: [67, 46, 60]
Generated Node #0,1: 64:[67, 46, 60] Operation: 99-39=60
Exploring Operation: 46-39=7, Resulting Numbers: [67, 99, 7]
Generated Node #0,2: 64:[67, 99, 7] Operation: 46-39=7
Exploring Operation: 99-46=53, Resulting Numbers: [67, 39, 53]
Generated Node #0,3: 64:[67, 39, 53] Operation: 99-46=53
Moving to Node #0,0
Current State: 64:[39, 46, 32], Operations: ['99-67=32']
Exploring Operation: 39+46=85, Resulting Numbers: [32, 85]
Generated Node #0,0,0: 64:[32, 85] Operation: 39+46=85
Exploring Operation: 39-32=7, Resulting Numbers: [46, 7]
Generated Node #0,0,1: 64:[46, 7] Operation: 39-32=7
Exploring Operation: 46-39=7, Resulting Numbers: [32, 7]
Generated Node #0,0,2: 64:[32, 7] Operation: 46-39=7
Exploring Operation: 46-32=14, Resulting Numbers: [39, 14]
Generated Node #0,0,3: 64:[39, 14] Operation: 46-32=14
Moving to Node #0,3
Current State: 64:[67, 39, 53], Operations: ['99-46=53']
Exploring Operation: 53-39=14, Resulting Numbers: [67, 14]
Generated Node #0,3,0: 64:[67, 14] Operation: 53-39=14
Exploring Operation: 39+53=92, Resulting Numbers: [67, 92]
Generated Node #0,3,1: 64:[67, 92] Operation: 39+53=92
Exploring Operation: 67-39=28, Resulting Numbers: [53, 28]
Generated Node #0,3,2: 64:[53, 28] Operation: 67-39=28
Exploring Operation: 67-53=14, Resulting Numbers: [39, 14]
Generated Node #0,3,3: 64:[39, 14] Operation: 67-53=14
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 64:[67, 14], Operations: ['99-46=53', '53-39=14']
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,64 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 #0,3,3
Current State: 64:[39, 14], Operations: ['99-46=53', '67-53=14']
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,64 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 #0,3,2
Current State: 64:[53, 28], Operations: ['99-46=53', '67-39=28']
Exploring Operation: 53*28=1484, Resulting Numbers: [1484]
1484,64 unequal: No Solution
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 53+28=81, Resulting Numbers: [81]
81,64 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 #0,3,1
Current State: 64:[67, 92], Operations: ['99-46=53', '39+53=92']
Exploring Operation: 67*92=6164, Resulting Numbers: [6164]
6164,64 unequal: No Solution
Exploring Operation: 67+92=159, Resulting Numbers: [159]
159,64 unequal: No Solution
Exploring Operation: 92-67=25, Resulting Numbers: [25]
25,64 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:[67, 46, 60], Operations: ['99-39=60']
Exploring Operation: 67-46=21, Resulting Numbers: [60, 21]
Generated Node #0,1,0: 64:[60, 21] Operation: 67-46=21
Exploring Operation: 60-46=14, Resulting Numbers: [67, 14]
Generated Node #0,1,1: 64:[67, 14] Operation: 60-46=14
Exploring Operation: 67-60=7, Resulting Numbers: [46, 7]
Generated Node #0,1,2: 64:[46, 7] Operation: 67-60=7
Exploring Operation: 46+60=106, Resulting Numbers: [67, 106]
Generated Node #0,1,3: 64:[67, 106] Operation: 46+60=106
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 64:[67, 14], Operations: ['99-39=60', '60-46=14']
Exploring Operation: 67+14=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 67-14=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 67*14=938, Resulting Numbers: [938]
938,64 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:[60, 21], Operations: ['99-39=60', '67-46=21']
Exploring Operation: 60+21=81, Resulting Numbers: [81]
81,64 unequal: No Solution
Exploring Operation: 60*21=1260, Resulting Numbers: [1260]
1260,64 unequal: No Solution
Exploring Operation: 60-21=39, Resulting Numbers: [39]
39,64 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:[46, 7], Operations: ['99-39=60', '67-60=7']
Exploring Operation: 46*7=322, Resulting Numbers: [322]
322,64 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,64 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 #0,1,3
Current State: 64:[67, 106], Operations: ['99-39=60', '46+60=106']
Exploring Operation: 106-67=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Exploring Operation: 67*106=7102, Resulting Numbers: [7102]
7102,64 unequal: No Solution
Exploring Operation: 67+106=173, Resulting Numbers: [173]
173,64 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: 64:[67, 99, 7], Operations: ['46-39=7']
Exploring Operation: 67+7=74, Resulting Numbers: [99, 74]
Generated Node #0,2,0: 64:[99, 74] Operation: 67+7=74
Exploring Operation: 67-7=60, Resulting Numbers: [99, 60]
Generated Node #0,2,1: 64:[99, 60] Operation: 67-7=60
Exploring Operation: 99-7=92, Resulting Numbers: [67, 92]
Generated Node #0,2,2: 64:[67, 92] Operation: 99-7=92
Exploring Operation: 99-67=32, Resulting Numbers: [7, 32]
Generated Node #0,2,3: 64:[7, 32] Operation: 99-67=32
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 64:[7, 32], Operations: ['46-39=7', '99-67=32']
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 7*32=224, Resulting Numbers: [224]
224,64 unequal: No Solution
Exploring Operation: 7+32=39, Resulting Numbers: [39]
39,64 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 #0,2,2
Current State: 64:[67, 92], Operations: ['46-39=7', '99-7=92']
Exploring Operation: 92-67=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 67*92=6164, Resulting Numbers: [6164]
6164,64 unequal: No Solution
Exploring Operation: 67+92=159, Resulting Numbers: [159]
159,64 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 #0,2,1
Current State: 64:[99, 60], Operations: ['46-39=7', '67-7=60']
Exploring Operation: 99+60=159, Resulting Numbers: [159]
159,64 unequal: No Solution
Exploring Operation: 99-60=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Exploring Operation: 99*60=5940, Resulting Numbers: [5940]
5940,64 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 #0,2,0
Current State: 64:[99, 74], Operations: ['46-39=7', '67+7=74']
Exploring Operation: 99-74=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 99+74=173, Resulting Numbers: [173]
173,64 unequal: No Solution
Exploring Operation: 99*74=7326, Resulting Numbers: [7326]
7326,64 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0,2
Current State: 64:[32, 7], Operations: ['99-67=32', '46-39=7']
Exploring Operation: 32*7=224, Resulting Numbers: [224]
224,64 unequal: No Solution
Exploring Operation: 32+7=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Exploring Operation: 32-7=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[39, 14], Operations: ['99-67=32', '46-32=14']
Exploring Operation: 39*14=546, Resulting Numbers: [546]
546,64 unequal: No Solution
Exploring Operation: 39-14=25, Resulting Numbers: [25]
25,64 unequal: No Solution
Exploring Operation: 39+14=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Moving to Node #0,0,1
Current State: 64:[46, 7], Operations: ['99-67=32', '39-32=7']
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,64 unequal: No Solution
Exploring Operation: 46-7=39, Resulting Numbers: [39]
39,64 unequal: No Solution
Exploring Operation: 46*7=322, Resulting Numbers: [322]
322,64 unequal: No Solution
Moving to Node #0,0,0
Current State: 64:[32, 85], Operations: ['99-67=32', '39+46=85']
Exploring Operation: 32*85=2720, Resulting Numbers: [2720]
2720,64 unequal: No Solution
Exploring Operation: 32+85=117, Resulting Numbers: [117]
117,64 unequal: No Solution
Exploring Operation: 85-32=53, Resulting Numbers: [53]
53,64 unequal: No Solution
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
3,
23,
28,
9
] | 22
|
[
"3*9=27",
"28-23=5",
"27-5=22"
] |
Current State: 22:[3, 23, 28, 9], Operations: []
Exploring Operation: 3*9=27, Resulting Numbers: [23, 28, 27]
Generated Node #2: [23, 28, 27] from Operation: 3*9=27
Current State: 22:[23, 28, 27], Operations: ['3*9=27']
Exploring Operation: 28-23=5, Resulting Numbers: [27, 5]
Generated Node #3: [27, 5] from Operation: 28-23=5
Current State: 22:[27, 5], Operations: ['3*9=27', '28-23=5']
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
Current State: 22:[3, 23, 28, 9], Operations: []
Exploring Operation: 28-9=19, Resulting Numbers: [3, 23, 19]
Generated Node #0,0: 22:[3, 23, 19] Operation: 28-9=19
Moving to Node #0,0
Current State: 22:[3, 23, 19], Operations: ['28-9=19']
Exploring Operation: 3+19=22, Resulting Numbers: [23, 22]
Generated Node #0,0,0: 22:[23, 22] Operation: 3+19=22
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 22:[23, 22], Operations: ['28-9=19', '3+19=22']
Exploring Operation: 23-22=1, Resulting Numbers: [1]
1,22 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
|
[
37,
99,
77,
4
] | 51
|
[
"99-77=22",
"4*22=88",
"88-37=51"
] |
Current State: 51:[37, 99, 77, 4], Operations: []
Exploring Operation: 99-77=22, Resulting Numbers: [37, 4, 22]
Generated Node #2: [37, 4, 22] from Operation: 99-77=22
Current State: 51:[37, 4, 22], Operations: ['99-77=22']
Exploring Operation: 4*22=88, Resulting Numbers: [37, 88]
Generated Node #3: [37, 88] from Operation: 4*22=88
Current State: 51:[37, 88], Operations: ['99-77=22', '4*22=88']
Exploring Operation: 88-37=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4
|
Current State: 51:[37, 99, 77, 4], Operations: []
Exploring Operation: 99-37=62, Resulting Numbers: [77, 4, 62]
Generated Node #0,0: 51:[77, 4, 62] Operation: 99-37=62
Exploring Operation: 99-77=22, Resulting Numbers: [37, 4, 22]
Generated Node #0,1: 51:[37, 4, 22] Operation: 99-77=22
Start Sub Search at level 1: Moving to Node #0,1
Current State: 51:[37, 4, 22], Operations: ['99-77=22']
Exploring Operation: 37+22=59, Resulting Numbers: [4, 59]
Generated Node #0,1,0: 51:[4, 59] Operation: 37+22=59
Exploring Operation: 37-22=15, Resulting Numbers: [4, 15]
Generated Node #0,1,1: 51:[4, 15] Operation: 37-22=15
Moving to Node #0,1,1
Current State: 51:[4, 15], Operations: ['99-77=22', '37-22=15']
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Moving to Node #0,1,0
Current State: 51:[4, 59], Operations: ['99-77=22', '37+22=59']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,51 unequal: No Solution
Exploring Operation: 4+59=63, Resulting Numbers: [63]
63,51 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 #0,0
Current State: 51:[77, 4, 62], Operations: ['99-37=62']
Exploring Operation: 77-4=73, Resulting Numbers: [62, 73]
Generated Node #0,0,0: 51:[62, 73] Operation: 77-4=73
Exploring Operation: 77-62=15, Resulting Numbers: [4, 15]
Generated Node #0,0,1: 51:[4, 15] Operation: 77-62=15
Moving to Node #0,0,1
Current State: 51:[4, 15], Operations: ['99-37=62', '77-62=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[62, 73], Operations: ['99-37=62', '77-4=73']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,51 unequal: No Solution
Exploring Operation: 62+73=135, Resulting Numbers: [135]
135,51 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
66,
30,
75,
35
] | 45
|
[
"75-66=9",
"35-30=5",
"9*5=45"
] |
Current State: 45:[66, 30, 75, 35], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [30, 35, 9]
Generated Node #2: [30, 35, 9] from Operation: 75-66=9
Current State: 45:[30, 35, 9], Operations: ['75-66=9']
Exploring Operation: 35-30=5, Resulting Numbers: [9, 5]
Generated Node #3: [9, 5] from Operation: 35-30=5
Current State: 45:[9, 5], Operations: ['75-66=9', '35-30=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4
|
Current State: 45:[66, 30, 75, 35], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [30, 35, 9]
Generated Node #0,0: 45:[30, 35, 9] Operation: 75-66=9
Start Sub Search at level 1: Moving to Node #0,0
Current State: 45:[30, 35, 9], Operations: ['75-66=9']
Exploring Operation: 35-30=5, Resulting Numbers: [9, 5]
Generated Node #0,0,0: 45:[9, 5] Operation: 35-30=5
Moving to Node #0,0,0
Current State: 45:[9, 5], Operations: ['75-66=9', '35-30=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Moving to Node #0
Current State: 45:[66, 30, 75, 35], Operations: []
Exploring Operation: 75-66=9, Resulting Numbers: [30, 35, 9]
Generated Node #0,0: 45:[30, 35, 9] Operation: 75-66=9
Moving to Node #0,0
Current State: 45:[30, 35, 9], Operations: ['75-66=9']
Exploring Operation: 35-30=5, Resulting Numbers: [9, 5]
Generated Node #0,0,0: 45:[9, 5] Operation: 35-30=5
Moving to Node #0,0,0
Current State: 45:[9, 5], Operations: ['75-66=9', '35-30=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
38,
80,
40,
64
] | 25
|
[
"38*40=1520",
"80+1520=1600",
"1600/64=25"
] |
Current State: 25:[38, 80, 40, 64], Operations: []
Exploring Operation: 38*40=1520, Resulting Numbers: [80, 64, 1520]
Generated Node #2: [80, 64, 1520] from Operation: 38*40=1520
Current State: 25:[80, 64, 1520], Operations: ['38*40=1520']
Exploring Operation: 80+1520=1600, Resulting Numbers: [64, 1600]
Generated Node #3: [64, 1600] from Operation: 80+1520=1600
Current State: 25:[64, 1600], Operations: ['38*40=1520', '80+1520=1600']
Exploring Operation: 1600/64=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4
|
Current State: 25:[38, 80, 40, 64], Operations: []
Exploring Operation: 64-40=24, Resulting Numbers: [38, 80, 24]
Generated Node #0,0: 25:[38, 80, 24] Operation: 64-40=24
Exploring Operation: 80-40=40, Resulting Numbers: [38, 64, 40]
Generated Node #0,1: 25:[38, 64, 40] Operation: 80-40=40
Exploring Operation: 80/40=2, Resulting Numbers: [38, 64, 2]
Generated Node #0,2: 25:[38, 64, 2] Operation: 80/40=2
Exploring Operation: 80-64=16, Resulting Numbers: [38, 40, 16]
Generated Node #0,3: 25:[38, 40, 16] Operation: 80-64=16
Moving to Node #0,3
Current State: 25:[38, 40, 16], Operations: ['80-64=16']
Exploring Operation: 38+16=54, Resulting Numbers: [40, 54]
Generated Node #0,3,0: 25:[40, 54] Operation: 38+16=54
Exploring Operation: 40-38=2, Resulting Numbers: [16, 2]
Generated Node #0,3,1: 25:[16, 2] Operation: 40-38=2
Exploring Operation: 40-16=24, Resulting Numbers: [38, 24]
Generated Node #0,3,2: 25:[38, 24] Operation: 40-16=24
Exploring Operation: 38-16=22, Resulting Numbers: [40, 22]
Generated Node #0,3,3: 25:[40, 22] Operation: 38-16=22
Start Sub Search at level 1: Moving to Node #0,3,1
Current State: 25:[16, 2], Operations: ['80-64=16', '40-38=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,25 unequal: No Solution
Exploring Operation: 16*2=32, Resulting Numbers: [32]
32,25 unequal: No Solution
Exploring Operation: 16+2=18, Resulting Numbers: [18]
18,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 25:[38, 24], Operations: ['80-64=16', '40-16=24']
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 38*24=912, Resulting Numbers: [912]
912,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 25:[40, 22], Operations: ['80-64=16', '38-16=22']
Exploring Operation: 40+22=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 40*22=880, Resulting Numbers: [880]
880,25 unequal: No Solution
Exploring Operation: 40-22=18, Resulting Numbers: [18]
18,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,0
Current State: 25:[40, 54], Operations: ['80-64=16', '38+16=54']
Exploring Operation: 54-40=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 40+54=94, Resulting Numbers: [94]
94,25 unequal: No Solution
Exploring Operation: 40*54=2160, Resulting Numbers: [2160]
2160,25 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: 25:[38, 64, 2], Operations: ['80/40=2']
Exploring Operation: 38-2=36, Resulting Numbers: [64, 36]
Generated Node #0,2,0: 25:[64, 36] Operation: 38-2=36
Exploring Operation: 38/2=19, Resulting Numbers: [64, 19]
Generated Node #0,2,1: 25:[64, 19] Operation: 38/2=19
Exploring Operation: 64-38=26, Resulting Numbers: [2, 26]
Generated Node #0,2,2: 25:[2, 26] Operation: 64-38=26
Exploring Operation: 64/2=32, Resulting Numbers: [38, 32]
Generated Node #0,2,3: 25:[38, 32] Operation: 64/2=32
Moving to Node #0,1
Current State: 25:[38, 64, 40], Operations: ['80-40=40']
Exploring Operation: 40-38=2, Resulting Numbers: [64, 2]
Generated Node #0,1,0: 25:[64, 2] Operation: 40-38=2
Exploring Operation: 64-38=26, Resulting Numbers: [40, 26]
Generated Node #0,1,1: 25:[40, 26] Operation: 64-38=26
Exploring Operation: 64-40=24, Resulting Numbers: [38, 24]
Generated Node #0,1,2: 25:[38, 24] Operation: 64-40=24
Exploring Operation: 38+64=102, Resulting Numbers: [40, 102]
Generated Node #0,1,3: 25:[40, 102] Operation: 38+64=102
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 25:[38, 24], Operations: ['80-40=40', '64-40=24']
Exploring Operation: 38*24=912, Resulting Numbers: [912]
912,25 unequal: No Solution
Exploring Operation: 38+24=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 38-24=14, Resulting Numbers: [14]
14,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 25:[40, 26], Operations: ['80-40=40', '64-38=26']
Exploring Operation: 40*26=1040, Resulting Numbers: [1040]
1040,25 unequal: No Solution
Exploring Operation: 40-26=14, Resulting Numbers: [14]
14,25 unequal: No Solution
Exploring Operation: 40+26=66, Resulting Numbers: [66]
66,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 25:[64, 2], Operations: ['80-40=40', '40-38=2']
Exploring Operation: 64-2=62, Resulting Numbers: [62]
62,25 unequal: No Solution
Exploring Operation: 64*2=128, Resulting Numbers: [128]
128,25 unequal: No Solution
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,25 unequal: No Solution
Exploring Operation: 64+2=66, Resulting Numbers: [66]
66,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 25:[40, 102], Operations: ['80-40=40', '38+64=102']
Exploring Operation: 40+102=142, Resulting Numbers: [142]
142,25 unequal: No Solution
Exploring Operation: 40*102=4080, Resulting Numbers: [4080]
4080,25 unequal: No Solution
Exploring Operation: 102-40=62, Resulting Numbers: [62]
62,25 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: 25:[38, 80, 24], Operations: ['64-40=24']
Exploring Operation: 38-24=14, Resulting Numbers: [80, 14]
Generated Node #0,0,0: 25:[80, 14] Operation: 38-24=14
Exploring Operation: 80-38=42, Resulting Numbers: [24, 42]
Generated Node #0,0,1: 25:[24, 42] Operation: 80-38=42
Exploring Operation: 38+24=62, Resulting Numbers: [80, 62]
Generated Node #0,0,2: 25:[80, 62] Operation: 38+24=62
Exploring Operation: 80-24=56, Resulting Numbers: [38, 56]
Generated Node #0,0,3: 25:[38, 56] Operation: 80-24=56
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 25:[24, 42], Operations: ['64-40=24', '80-38=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 24+42=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Exploring Operation: 24*42=1008, Resulting Numbers: [1008]
1008,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 25:[38, 56], Operations: ['64-40=24', '80-24=56']
Exploring Operation: 38*56=2128, Resulting Numbers: [2128]
2128,25 unequal: No Solution
Exploring Operation: 38+56=94, Resulting Numbers: [94]
94,25 unequal: No Solution
Exploring Operation: 56-38=18, Resulting Numbers: [18]
18,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 25:[80, 14], Operations: ['64-40=24', '38-24=14']
Exploring Operation: 80*14=1120, Resulting Numbers: [1120]
1120,25 unequal: No Solution
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,25 unequal: No Solution
Exploring Operation: 80+14=94, Resulting Numbers: [94]
94,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 25:[80, 62], Operations: ['64-40=24', '38+24=62']
Exploring Operation: 80*62=4960, Resulting Numbers: [4960]
4960,25 unequal: No Solution
Exploring Operation: 80-62=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 80+62=142, Resulting Numbers: [142]
142,25 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2,2
Current State: 25:[2, 26], Operations: ['80/40=2', '64-38=26']
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[38, 32], Operations: ['80/40=2', '64/2=32']
Exploring Operation: 38+32=70, Resulting Numbers: [70]
70,25 unequal: No Solution
Exploring Operation: 38-32=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Exploring Operation: 38*32=1216, Resulting Numbers: [1216]
1216,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[64, 19], Operations: ['80/40=2', '38/2=19']
Exploring Operation: 64*19=1216, Resulting Numbers: [1216]
1216,25 unequal: No Solution
Exploring Operation: 64+19=83, Resulting Numbers: [83]
83,25 unequal: No Solution
Exploring Operation: 64-19=45, Resulting Numbers: [45]
45,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[64, 36], Operations: ['80/40=2', '38-2=36']
Exploring Operation: 64+36=100, Resulting Numbers: [100]
100,25 unequal: No Solution
Exploring Operation: 64*36=2304, Resulting Numbers: [2304]
2304,25 unequal: No Solution
Exploring Operation: 64-36=28, Resulting Numbers: [28]
28,25 unequal: No Solution
No solution found.
| 0
|
hs_4
|
sum_heuristic
|
[
89,
48,
44,
94
] | 91
|
[
"89-48=41",
"94-44=50",
"41+50=91"
] |
Current State: 91:[89, 48, 44, 94], Operations: []
Exploring Operation: 89-48=41, Resulting Numbers: [44, 94, 41]
Generated Node #2: [44, 94, 41] from Operation: 89-48=41
Current State: 91:[44, 94, 41], Operations: ['89-48=41']
Exploring Operation: 94-44=50, Resulting Numbers: [41, 50]
Generated Node #3: [41, 50] from Operation: 94-44=50
Current State: 91:[41, 50], Operations: ['89-48=41', '94-44=50']
Exploring Operation: 41+50=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4
|
Current State: 91:[89, 48, 44, 94], Operations: []
Exploring Operation: 89-48=41, Resulting Numbers: [44, 94, 41]
Generated Node #0,0: 91:[44, 94, 41] Operation: 89-48=41
Exploring Operation: 48-44=4, Resulting Numbers: [89, 94, 4]
Generated Node #0,1: 91:[89, 94, 4] Operation: 48-44=4
Exploring Operation: 48+44=92, Resulting Numbers: [89, 94, 92]
Generated Node #0,2: 91:[89, 94, 92] Operation: 48+44=92
Exploring Operation: 94-48=46, Resulting Numbers: [89, 44, 46]
Generated Node #0,3: 91:[89, 44, 46] Operation: 94-48=46
Moving to Node #0,2
Current State: 91:[89, 94, 92], Operations: ['48+44=92']
Exploring Operation: 92-89=3, Resulting Numbers: [94, 3]
Generated Node #0,2,0: 91:[94, 3] Operation: 92-89=3
Exploring Operation: 94-89=5, Resulting Numbers: [92, 5]
Generated Node #0,2,1: 91:[92, 5] Operation: 94-89=5
Exploring Operation: 94-92=2, Resulting Numbers: [89, 2]
Generated Node #0,2,2: 91:[89, 2] Operation: 94-92=2
Exploring Operation: 89+94=183, Resulting Numbers: [92, 183]
Generated Node #0,2,3: 91:[92, 183] Operation: 89+94=183
Moving to Node #0,1
Current State: 91:[89, 94, 4], Operations: ['48-44=4']
Exploring Operation: 89-4=85, Resulting Numbers: [94, 85]
Generated Node #0,1,0: 91:[94, 85] Operation: 89-4=85
Exploring Operation: 94-4=90, Resulting Numbers: [89, 90]
Generated Node #0,1,1: 91:[89, 90] Operation: 94-4=90
Exploring Operation: 94-89=5, Resulting Numbers: [4, 5]
Generated Node #0,1,2: 91:[4, 5] Operation: 94-89=5
Exploring Operation: 89+4=93, Resulting Numbers: [94, 93]
Generated Node #0,1,3: 91:[94, 93] Operation: 89+4=93
Moving to Node #0,0
Current State: 91:[44, 94, 41], Operations: ['89-48=41']
Exploring Operation: 44-41=3, Resulting Numbers: [94, 3]
Generated Node #0,0,0: 91:[94, 3] Operation: 44-41=3
Exploring Operation: 94-41=53, Resulting Numbers: [44, 53]
Generated Node #0,0,1: 91:[44, 53] Operation: 94-41=53
Exploring Operation: 94-44=50, Resulting Numbers: [41, 50]
Generated Node #0,0,2: 91:[41, 50] Operation: 94-44=50
Exploring Operation: 44+41=85, Resulting Numbers: [94, 85]
Generated Node #0,0,3: 91:[94, 85] Operation: 44+41=85
Moving to Node #0,3
Current State: 91:[89, 44, 46], Operations: ['94-48=46']
Exploring Operation: 89-44=45, Resulting Numbers: [46, 45]
Generated Node #0,3,0: 91:[46, 45] Operation: 89-44=45
Exploring Operation: 46-44=2, Resulting Numbers: [89, 2]
Generated Node #0,3,1: 91:[89, 2] Operation: 46-44=2
Exploring Operation: 89-46=43, Resulting Numbers: [44, 43]
Generated Node #0,3,2: 91:[44, 43] Operation: 89-46=43
Exploring Operation: 44+46=90, Resulting Numbers: [89, 90]
Generated Node #0,3,3: 91:[89, 90] Operation: 44+46=90
Moving to Node #0,2,1
Current State: 91:[92, 5], Operations: ['48+44=92', '94-89=5']
Exploring Operation: 92+5=97, Resulting Numbers: [97]
97,91 unequal: No Solution
Exploring Operation: 92-5=87, Resulting Numbers: [87]
87,91 unequal: No Solution
Exploring Operation: 92*5=460, Resulting Numbers: [460]
460,91 unequal: No Solution
Moving to Node #0,3,3
Current State: 91:[89, 90], Operations: ['94-48=46', '44+46=90']
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 89*90=8010, Resulting Numbers: [8010]
8010,91 unequal: No Solution
Exploring Operation: 89+90=179, Resulting Numbers: [179]
179,91 unequal: No Solution
Moving to Node #0,1,1
Current State: 91:[89, 90], Operations: ['48-44=4', '94-4=90']
Exploring Operation: 90-89=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 89*90=8010, Resulting Numbers: [8010]
8010,91 unequal: No Solution
Exploring Operation: 89+90=179, Resulting Numbers: [179]
179,91 unequal: No Solution
Moving to Node #0,1,3
Current State: 91:[94, 93], Operations: ['48-44=4', '89+4=93']
Exploring Operation: 94+93=187, Resulting Numbers: [187]
187,91 unequal: No Solution
Exploring Operation: 94*93=8742, Resulting Numbers: [8742]
8742,91 unequal: No Solution
Exploring Operation: 94-93=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Moving to Node #0,1,2
Current State: 91:[4, 5], Operations: ['48-44=4', '94-89=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,91 unequal: No Solution
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,91 unequal: No Solution
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,91 unequal: No Solution
Moving to Node #0,3,1
Current State: 91:[89, 2], Operations: ['94-48=46', '46-44=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
Moving to Node #0
Current State: 91:[89, 48, 44, 94], Operations: []
Exploring Operation: 94-48=46, Resulting Numbers: [89, 44, 46]
Generated Node #0,3: 91:[89, 44, 46] Operation: 94-48=46
Moving to Node #0,3
Current State: 91:[89, 44, 46], Operations: ['94-48=46']
Exploring Operation: 46-44=2, Resulting Numbers: [89, 2]
Generated Node #0,3,1: 91:[89, 2] Operation: 46-44=2
Moving to Node #0,3,1
Current State: 91:[89, 2], Operations: ['94-48=46', '46-44=2']
Exploring Operation: 89+2=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 0.965278
|
hs_4
|
mult_heuristic
|
[
9,
75,
34,
75
] | 34
|
[
"75-75=0",
"9*0=0",
"34+0=34"
] |
Current State: 34:[9, 75, 34, 75], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [9, 34, 0]
Generated Node #2: [9, 34, 0] from Operation: 75-75=0
Current State: 34:[9, 34, 0], Operations: ['75-75=0']
Exploring Operation: 9*0=0, Resulting Numbers: [34, 0]
Generated Node #3: [34, 0] from Operation: 9*0=0
Current State: 34:[34, 0], Operations: ['75-75=0', '9*0=0']
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4
|
Current State: 34:[9, 75, 34, 75], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [9, 34, 0]
Generated Node #0,0: 34:[9, 34, 0] Operation: 75-75=0
Exploring Operation: 75-9=66, Resulting Numbers: [34, 75, 66]
Generated Node #0,1: 34:[34, 75, 66] Operation: 75-9=66
Exploring Operation: 75/75=1, Resulting Numbers: [9, 34, 1]
Generated Node #0,2: 34:[9, 34, 1] Operation: 75/75=1
Exploring Operation: 75-34=41, Resulting Numbers: [9, 75, 41]
Generated Node #0,3: 34:[9, 75, 41] Operation: 75-34=41
Exploring Operation: 75-34=41, Resulting Numbers: [9, 75, 41]
Generated Node #0,4: 34:[9, 75, 41] Operation: 75-34=41
Moving to Node #0,2
Current State: 34:[9, 34, 1], Operations: ['75/75=1']
Exploring Operation: 9-1=8, Resulting Numbers: [34, 8]
Generated Node #0,2,0: 34:[34, 8] Operation: 9-1=8
Exploring Operation: 9*1=9, Resulting Numbers: [34, 9]
Generated Node #0,2,1: 34:[34, 9] Operation: 9*1=9
Exploring Operation: 9/1=9, Resulting Numbers: [34, 9]
Generated Node #0,2,2: 34:[34, 9] Operation: 9/1=9
Exploring Operation: 9+1=10, Resulting Numbers: [34, 10]
Generated Node #0,2,3: 34:[34, 10] Operation: 9+1=10
Exploring Operation: 34*1=34, Resulting Numbers: [9, 34]
Generated Node #0,2,4: 34:[9, 34] Operation: 34*1=34
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 34:[34, 8], Operations: ['75/75=1', '9-1=8']
Exploring Operation: 34*8=272, Resulting Numbers: [272]
272,34 unequal: No Solution
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,34 unequal: No Solution
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 34:[34, 9], Operations: ['75/75=1', '9*1=9']
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,34 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,34 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 34:[34, 9], Operations: ['75/75=1', '9/1=9']
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,34 unequal: No Solution
Exploring Operation: 34+9=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 34*9=306, Resulting Numbers: [306]
306,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,3
Current State: 34:[34, 10], Operations: ['75/75=1', '9+1=10']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,34 unequal: No Solution
Exploring Operation: 34*10=340, Resulting Numbers: [340]
340,34 unequal: No Solution
Exploring Operation: 34+10=44, Resulting Numbers: [44]
44,34 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 34:[9, 34], Operations: ['75/75=1', '34*1=34']
Exploring Operation: 9+34=43, Resulting Numbers: [43]
43,34 unequal: No Solution
Exploring Operation: 9*34=306, Resulting Numbers: [306]
306,34 unequal: No Solution
Exploring Operation: 34-9=25, Resulting Numbers: [25]
25,34 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: 34:[9, 34, 0], Operations: ['75-75=0']
Exploring Operation: 9-0=9, Resulting Numbers: [34, 9]
Generated Node #0,0,0: 34:[34, 9] Operation: 9-0=9
Exploring Operation: 34-0=34, Resulting Numbers: [9, 34]
Generated Node #0,0,1: 34:[9, 34] Operation: 34-0=34
Exploring Operation: 34+0=34, Resulting Numbers: [9, 34]
Generated Node #0,0,2: 34:[9, 34] Operation: 34+0=34
Exploring Operation: 9*0=0, Resulting Numbers: [34, 0]
Generated Node #0,0,3: 34:[34, 0] Operation: 9*0=0
Exploring Operation: 9+0=9, Resulting Numbers: [34, 9]
Generated Node #0,0,4: 34:[34, 9] Operation: 9+0=9
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 34:[34, 0], Operations: ['75-75=0', '9*0=0']
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Moving to Node #0
Current State: 34:[9, 75, 34, 75], Operations: []
Exploring Operation: 75-75=0, Resulting Numbers: [9, 34, 0]
Generated Node #0,0: 34:[9, 34, 0] Operation: 75-75=0
Moving to Node #0,0
Current State: 34:[9, 34, 0], Operations: ['75-75=0']
Exploring Operation: 9*0=0, Resulting Numbers: [34, 0]
Generated Node #0,0,3: 34:[34, 0] Operation: 9*0=0
Moving to Node #0,0,3
Current State: 34:[34, 0], Operations: ['75-75=0', '9*0=0']
Exploring Operation: 34+0=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
Exit Sub Search at level 1
| 0.969618
|
hs_5
|
sum_heuristic
|
[
48,
74,
29,
36
] | 12
|
[
"74-48=26",
"29-26=3",
"36/3=12"
] |
Current State: 12:[48, 74, 29, 36], Operations: []
Exploring Operation: 74-48=26, Resulting Numbers: [29, 36, 26]
Generated Node #2: [29, 36, 26] from Operation: 74-48=26
Current State: 12:[29, 36, 26], Operations: ['74-48=26']
Exploring Operation: 29-26=3, Resulting Numbers: [36, 3]
Generated Node #3: [36, 3] from Operation: 29-26=3
Current State: 12:[36, 3], Operations: ['74-48=26', '29-26=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4
|
Current State: 12:[48, 74, 29, 36], Operations: []
Exploring Operation: 48-36=12, Resulting Numbers: [74, 29, 12]
Generated Node #0,0: 12:[74, 29, 12] Operation: 48-36=12
Exploring Operation: 74-48=26, Resulting Numbers: [29, 36, 26]
Generated Node #0,1: 12:[29, 36, 26] Operation: 74-48=26
Start Sub Search at level 1: Moving to Node #0,1
Current State: 12:[29, 36, 26], Operations: ['74-48=26']
Exploring Operation: 36-29=7, Resulting Numbers: [26, 7]
Generated Node #0,1,0: 12:[26, 7] Operation: 36-29=7
Exploring Operation: 36-26=10, Resulting Numbers: [29, 10]
Generated Node #0,1,1: 12:[29, 10] Operation: 36-26=10
Moving to Node #0,1,0
Current State: 12:[26, 7], Operations: ['74-48=26', '36-29=7']
Exploring Operation: 26+7=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 26-7=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Moving to Node #0,1,1
Current State: 12:[29, 10], Operations: ['74-48=26', '36-26=10']
Exploring Operation: 29+10=39, Resulting Numbers: [39]
39,12 unequal: No Solution
Exploring Operation: 29-10=19, Resulting Numbers: [19]
19,12 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 12:[74, 29, 12], Operations: ['48-36=12']
Exploring Operation: 74-12=62, Resulting Numbers: [29, 62]
Generated Node #0,0,0: 12:[29, 62] Operation: 74-12=62
Exploring Operation: 74-29=45, Resulting Numbers: [12, 45]
Generated Node #0,0,1: 12:[12, 45] Operation: 74-29=45
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 12:[12, 45], Operations: ['48-36=12', '74-29=45']
Exploring Operation: 45-12=33, Resulting Numbers: [33]
33,12 unequal: No Solution
Exploring Operation: 12+45=57, Resulting Numbers: [57]
57,12 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:[29, 62], Operations: ['48-36=12', '74-12=62']
Exploring Operation: 29+62=91, Resulting Numbers: [91]
91,12 unequal: No Solution
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,12 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_2
|
mult_heuristic
|
[
20,
99,
25,
23
] | 77
|
[
"99-20=79",
"25-23=2",
"79-2=77"
] |
Current State: 77:[20, 99, 25, 23], Operations: []
Exploring Operation: 99-20=79, Resulting Numbers: [25, 23, 79]
Generated Node #2: [25, 23, 79] from Operation: 99-20=79
Current State: 77:[25, 23, 79], Operations: ['99-20=79']
Exploring Operation: 25-23=2, Resulting Numbers: [79, 2]
Generated Node #3: [79, 2] from Operation: 25-23=2
Current State: 77:[79, 2], Operations: ['99-20=79', '25-23=2']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[20, 99, 25, 23], Operations: []
Exploring Operation: 99-25=74, Resulting Numbers: [20, 23, 74]
Generated Node #0,0: 77:[20, 23, 74] Operation: 99-25=74
Exploring Operation: 99-23=76, Resulting Numbers: [20, 25, 76]
Generated Node #0,1: 77:[20, 25, 76] Operation: 99-23=76
Exploring Operation: 25-23=2, Resulting Numbers: [20, 99, 2]
Generated Node #0,2: 77:[20, 99, 2] Operation: 25-23=2
Exploring Operation: 25-20=5, Resulting Numbers: [99, 23, 5]
Generated Node #0,3: 77:[99, 23, 5] Operation: 25-20=5
Exploring Operation: 99-20=79, Resulting Numbers: [25, 23, 79]
Generated Node #0,4: 77:[25, 23, 79] Operation: 99-20=79
Moving to Node #0,0
Current State: 77:[20, 23, 74], Operations: ['99-25=74']
Exploring Operation: 74-20=54, Resulting Numbers: [23, 54]
Generated Node #0,0,0: 77:[23, 54] Operation: 74-20=54
Exploring Operation: 20+74=94, Resulting Numbers: [23, 94]
Generated Node #0,0,1: 77:[23, 94] Operation: 20+74=94
Exploring Operation: 20+23=43, Resulting Numbers: [74, 43]
Generated Node #0,0,2: 77:[74, 43] Operation: 20+23=43
Exploring Operation: 23-20=3, Resulting Numbers: [74, 3]
Generated Node #0,0,3: 77:[74, 3] Operation: 23-20=3
Exploring Operation: 23+74=97, Resulting Numbers: [20, 97]
Generated Node #0,0,4: 77:[20, 97] Operation: 23+74=97
Start Sub Search at level 1: Moving to Node #0,0,3
Current State: 77:[74, 3], Operations: ['99-25=74', '23-20=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[20, 99, 25, 23], Operations: []
Exploring Operation: 99-25=74, Resulting Numbers: [20, 23, 74]
Generated Node #0,0: 77:[20, 23, 74] Operation: 99-25=74
Moving to Node #0,0
Current State: 77:[20, 23, 74], Operations: ['99-25=74']
Exploring Operation: 23-20=3, Resulting Numbers: [74, 3]
Generated Node #0,0,3: 77:[74, 3] Operation: 23-20=3
Moving to Node #0,0,3
Current State: 77:[74, 3], Operations: ['99-25=74', '23-20=3']
Exploring Operation: 74+3=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_5
|
sum_heuristic
|
[
77,
98,
91,
12
] | 19
|
[
"91-77=14",
"98/14=7",
"12+7=19"
] |
Current State: 19:[77, 98, 91, 12], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [98, 12, 14]
Generated Node #2: [98, 12, 14] from Operation: 91-77=14
Current State: 19:[98, 12, 14], Operations: ['91-77=14']
Exploring Operation: 98/14=7, Resulting Numbers: [12, 7]
Generated Node #3: [12, 7] from Operation: 98/14=7
Current State: 19:[12, 7], Operations: ['91-77=14', '98/14=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4
|
Current State: 19:[77, 98, 91, 12], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [98, 12, 14]
Generated Node #0,0: 19:[98, 12, 14] Operation: 91-77=14
Exploring Operation: 98-77=21, Resulting Numbers: [91, 12, 21]
Generated Node #0,1: 19:[91, 12, 21] Operation: 98-77=21
Exploring Operation: 77-12=65, Resulting Numbers: [98, 91, 65]
Generated Node #0,2: 19:[98, 91, 65] Operation: 77-12=65
Exploring Operation: 98-91=7, Resulting Numbers: [77, 12, 7]
Generated Node #0,3: 19:[77, 12, 7] Operation: 98-91=7
Start Sub Search at level 1: Moving to Node #0,3
Current State: 19:[77, 12, 7], Operations: ['98-91=7']
Exploring Operation: 77-12=65, Resulting Numbers: [7, 65]
Generated Node #0,3,0: 19:[7, 65] Operation: 77-12=65
Exploring Operation: 12+7=19, Resulting Numbers: [77, 19]
Generated Node #0,3,1: 19:[77, 19] Operation: 12+7=19
Exploring Operation: 77-7=70, Resulting Numbers: [12, 70]
Generated Node #0,3,2: 19:[12, 70] Operation: 77-7=70
Exploring Operation: 77/7=11, Resulting Numbers: [12, 11]
Generated Node #0,3,3: 19:[12, 11] Operation: 77/7=11
Moving to Node #0,3,3
Current State: 19:[12, 11], Operations: ['98-91=7', '77/7=11']
Exploring Operation: 12*11=132, Resulting Numbers: [132]
132,19 unequal: No Solution
Exploring Operation: 12+11=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,19 unequal: No Solution
Moving to Node #0,3,1
Current State: 19:[77, 19], Operations: ['98-91=7', '12+7=19']
Exploring Operation: 77+19=96, Resulting Numbers: [96]
96,19 unequal: No Solution
Exploring Operation: 77*19=1463, Resulting Numbers: [1463]
1463,19 unequal: No Solution
Exploring Operation: 77-19=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[7, 65], Operations: ['98-91=7', '77-12=65']
Exploring Operation: 7+65=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Exploring Operation: 7*65=455, Resulting Numbers: [455]
455,19 unequal: No Solution
Exploring Operation: 65-7=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Moving to Node #0,3,2
Current State: 19:[12, 70], Operations: ['98-91=7', '77-7=70']
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,19 unequal: No Solution
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,19 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:[91, 12, 21], Operations: ['98-77=21']
Exploring Operation: 91-21=70, Resulting Numbers: [12, 70]
Generated Node #0,1,0: 19:[12, 70] Operation: 91-21=70
Exploring Operation: 91-12=79, Resulting Numbers: [21, 79]
Generated Node #0,1,1: 19:[21, 79] Operation: 91-12=79
Exploring Operation: 21-12=9, Resulting Numbers: [91, 9]
Generated Node #0,1,2: 19:[91, 9] Operation: 21-12=9
Exploring Operation: 91+12=103, Resulting Numbers: [21, 103]
Generated Node #0,1,3: 19:[21, 103] Operation: 91+12=103
Moving to Node #0,1,0
Current State: 19:[12, 70], Operations: ['98-77=21', '91-21=70']
Exploring Operation: 70-12=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Exploring Operation: 12*70=840, Resulting Numbers: [840]
840,19 unequal: No Solution
Exploring Operation: 12+70=82, Resulting Numbers: [82]
82,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[21, 79], Operations: ['98-77=21', '91-12=79']
Exploring Operation: 21+79=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 21*79=1659, Resulting Numbers: [1659]
1659,19 unequal: No Solution
Exploring Operation: 79-21=58, Resulting Numbers: [58]
58,19 unequal: No Solution
Moving to Node #0,1,2
Current State: 19:[91, 9], Operations: ['98-77=21', '21-12=9']
Exploring Operation: 91+9=100, Resulting Numbers: [100]
100,19 unequal: No Solution
Exploring Operation: 91*9=819, Resulting Numbers: [819]
819,19 unequal: No Solution
Exploring Operation: 91-9=82, Resulting Numbers: [82]
82,19 unequal: No Solution
Moving to Node #0,1,3
Current State: 19:[21, 103], Operations: ['98-77=21', '91+12=103']
Exploring Operation: 21*103=2163, Resulting Numbers: [2163]
2163,19 unequal: No Solution
Exploring Operation: 21+103=124, Resulting Numbers: [124]
124,19 unequal: No Solution
Exploring Operation: 103-21=82, Resulting Numbers: [82]
82,19 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 19:[98, 12, 14], Operations: ['91-77=14']
Exploring Operation: 98-14=84, Resulting Numbers: [12, 84]
Generated Node #0,0,0: 19:[12, 84] Operation: 98-14=84
Exploring Operation: 12+14=26, Resulting Numbers: [98, 26]
Generated Node #0,0,1: 19:[98, 26] Operation: 12+14=26
Exploring Operation: 98/14=7, Resulting Numbers: [12, 7]
Generated Node #0,0,2: 19:[12, 7] Operation: 98/14=7
Exploring Operation: 98-12=86, Resulting Numbers: [14, 86]
Generated Node #0,0,3: 19:[14, 86] Operation: 98-12=86
Moving to Node #0,0,2
Current State: 19:[12, 7], Operations: ['91-77=14', '98/14=7']
Exploring Operation: 12-7=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 12*7=84, Resulting Numbers: [84]
84,19 unequal: No Solution
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Moving to Node #0
Current State: 19:[77, 98, 91, 12], Operations: []
Exploring Operation: 91-77=14, Resulting Numbers: [98, 12, 14]
Generated Node #0,0: 19:[98, 12, 14] Operation: 91-77=14
Moving to Node #0,0
Current State: 19:[98, 12, 14], Operations: ['91-77=14']
Exploring Operation: 98/14=7, Resulting Numbers: [12, 7]
Generated Node #0,0,2: 19:[12, 7] Operation: 98/14=7
Moving to Node #0,0,2
Current State: 19:[12, 7], Operations: ['91-77=14', '98/14=7']
Exploring Operation: 12+7=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
Exit Sub Search at level 1
| 0.959201
|
hs_4
|
mult_heuristic
|
[
88,
17,
87,
34
] | 86
|
[
"34/17=2",
"87*2=174",
"174-88=86"
] |
Current State: 86:[88, 17, 87, 34], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [88, 87, 2]
Generated Node #2: [88, 87, 2] from Operation: 34/17=2
Current State: 86:[88, 87, 2], Operations: ['34/17=2']
Exploring Operation: 87*2=174, Resulting Numbers: [88, 174]
Generated Node #3: [88, 174] from Operation: 87*2=174
Current State: 86:[88, 174], Operations: ['34/17=2', '87*2=174']
Exploring Operation: 174-88=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[88, 17, 87, 34], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [88, 87, 2]
Generated Node #0,0: 86:[88, 87, 2] Operation: 34/17=2
Exploring Operation: 17+34=51, Resulting Numbers: [88, 87, 51]
Generated Node #0,1: 86:[88, 87, 51] Operation: 17+34=51
Moving to Node #0,0
Current State: 86:[88, 87, 2], Operations: ['34/17=2']
Exploring Operation: 88-87=1, Resulting Numbers: [2, 1]
Generated Node #0,0,0: 86:[2, 1] Operation: 88-87=1
Exploring Operation: 88-2=86, Resulting Numbers: [87, 86]
Generated Node #0,0,1: 86:[87, 86] Operation: 88-2=86
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[2, 1], Operations: ['34/17=2', '88-87=1']
Exploring Operation: 2*1=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 2/1=2, Resulting Numbers: [2]
2,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 86:[87, 86], Operations: ['34/17=2', '88-2=86']
Exploring Operation: 87+86=173, Resulting Numbers: [173]
173,86 unequal: No Solution
Exploring Operation: 87-86=1, Resulting Numbers: [1]
1,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,1
Current State: 86:[88, 87, 51], Operations: ['17+34=51']
Exploring Operation: 88-87=1, Resulting Numbers: [51, 1]
Generated Node #0,1,0: 86:[51, 1] Operation: 88-87=1
Exploring Operation: 88-51=37, Resulting Numbers: [87, 37]
Generated Node #0,1,1: 86:[87, 37] Operation: 88-51=37
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 86:[87, 37], Operations: ['17+34=51', '88-51=37']
Exploring Operation: 87-37=50, Resulting Numbers: [50]
50,86 unequal: No Solution
Exploring Operation: 87+37=124, Resulting Numbers: [124]
124,86 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 86:[51, 1], Operations: ['17+34=51', '88-87=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,86 unequal: No Solution
Exploring Operation: 51-1=50, Resulting Numbers: [50]
50,86 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
|
[
84,
65,
52,
86
] | 53
|
[
"84-65=19",
"86-52=34",
"19+34=53"
] |
Current State: 53:[84, 65, 52, 86], Operations: []
Exploring Operation: 84-65=19, Resulting Numbers: [52, 86, 19]
Generated Node #2: [52, 86, 19] from Operation: 84-65=19
Current State: 53:[52, 86, 19], Operations: ['84-65=19']
Exploring Operation: 86-52=34, Resulting Numbers: [19, 34]
Generated Node #3: [19, 34] from Operation: 86-52=34
Current State: 53:[19, 34], Operations: ['84-65=19', '86-52=34']
Exploring Operation: 19+34=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4
|
Current State: 53:[84, 65, 52, 86], Operations: []
Exploring Operation: 84-52=32, Resulting Numbers: [65, 86, 32]
Generated Node #0,0: 53:[65, 86, 32] Operation: 84-52=32
Exploring Operation: 86-65=21, Resulting Numbers: [84, 52, 21]
Generated Node #0,1: 53:[84, 52, 21] Operation: 86-65=21
Exploring Operation: 86-84=2, Resulting Numbers: [65, 52, 2]
Generated Node #0,2: 53:[65, 52, 2] Operation: 86-84=2
Exploring Operation: 86-52=34, Resulting Numbers: [84, 65, 34]
Generated Node #0,3: 53:[84, 65, 34] Operation: 86-52=34
Start Sub Search at level 1: Moving to Node #0,3
Current State: 53:[84, 65, 34], Operations: ['86-52=34']
Exploring Operation: 84-34=50, Resulting Numbers: [65, 50]
Generated Node #0,3,0: 53:[65, 50] Operation: 84-34=50
Exploring Operation: 84+34=118, Resulting Numbers: [65, 118]
Generated Node #0,3,1: 53:[65, 118] Operation: 84+34=118
Exploring Operation: 65-34=31, Resulting Numbers: [84, 31]
Generated Node #0,3,2: 53:[84, 31] Operation: 65-34=31
Exploring Operation: 84-65=19, Resulting Numbers: [34, 19]
Generated Node #0,3,3: 53:[34, 19] Operation: 84-65=19
Moving to Node #0,3,0
Current State: 53:[65, 50], Operations: ['86-52=34', '84-34=50']
Exploring Operation: 65+50=115, Resulting Numbers: [115]
115,53 unequal: No Solution
Exploring Operation: 65-50=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 65*50=3250, Resulting Numbers: [3250]
3250,53 unequal: No Solution
Moving to Node #0,3,3
Current State: 53:[34, 19], Operations: ['86-52=34', '84-65=19']
Exploring Operation: 34-19=15, Resulting Numbers: [15]
15,53 unequal: No Solution
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Moving to Node #0
Current State: 53:[84, 65, 52, 86], Operations: []
Exploring Operation: 86-52=34, Resulting Numbers: [84, 65, 34]
Generated Node #0,3: 53:[84, 65, 34] Operation: 86-52=34
Moving to Node #0,3
Current State: 53:[84, 65, 34], Operations: ['86-52=34']
Exploring Operation: 84-65=19, Resulting Numbers: [34, 19]
Generated Node #0,3,3: 53:[34, 19] Operation: 84-65=19
Moving to Node #0,3,3
Current State: 53:[34, 19], Operations: ['86-52=34', '84-65=19']
Exploring Operation: 34+19=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
Exit Sub Search at level 1
| 0.985243
|
hs_4
|
mult_heuristic
|
[
9,
20,
42,
27
] | 15
|
[
"27-20=7",
"42/7=6",
"9+6=15"
] |
Current State: 15:[9, 20, 42, 27], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [9, 42, 7]
Generated Node #2: [9, 42, 7] from Operation: 27-20=7
Current State: 15:[9, 42, 7], Operations: ['27-20=7']
Exploring Operation: 42/7=6, Resulting Numbers: [9, 6]
Generated Node #3: [9, 6] from Operation: 42/7=6
Current State: 15:[9, 6], Operations: ['27-20=7', '42/7=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4
|
Current State: 15:[9, 20, 42, 27], Operations: []
Exploring Operation: 42-9=33, Resulting Numbers: [20, 27, 33]
Generated Node #0,0: 15:[20, 27, 33] Operation: 42-9=33
Exploring Operation: 42-27=15, Resulting Numbers: [9, 20, 15]
Generated Node #0,1: 15:[9, 20, 15] Operation: 42-27=15
Exploring Operation: 27/9=3, Resulting Numbers: [20, 42, 3]
Generated Node #0,2: 15:[20, 42, 3] Operation: 27/9=3
Exploring Operation: 27-20=7, Resulting Numbers: [9, 42, 7]
Generated Node #0,3: 15:[9, 42, 7] Operation: 27-20=7
Exploring Operation: 42-20=22, Resulting Numbers: [9, 27, 22]
Generated Node #0,4: 15:[9, 27, 22] Operation: 42-20=22
Moving to Node #0,1
Current State: 15:[9, 20, 15], Operations: ['42-27=15']
Exploring Operation: 15-9=6, Resulting Numbers: [20, 6]
Generated Node #0,1,0: 15:[20, 6] Operation: 15-9=6
Exploring Operation: 9+20=29, Resulting Numbers: [15, 29]
Generated Node #0,1,1: 15:[15, 29] Operation: 9+20=29
Exploring Operation: 9+15=24, Resulting Numbers: [20, 24]
Generated Node #0,1,2: 15:[20, 24] Operation: 9+15=24
Exploring Operation: 20-15=5, Resulting Numbers: [9, 5]
Generated Node #0,1,3: 15:[9, 5] Operation: 20-15=5
Exploring Operation: 20-9=11, Resulting Numbers: [15, 11]
Generated Node #0,1,4: 15:[15, 11] Operation: 20-9=11
Start Sub Search at level 1: Moving to Node #0,1,3
Current State: 15:[9, 5], Operations: ['42-27=15', '20-15=5']
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,4
Current State: 15:[15, 11], Operations: ['42-27=15', '20-9=11']
Exploring Operation: 15*11=165, Resulting Numbers: [165]
165,15 unequal: No Solution
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,0
Current State: 15:[20, 6], Operations: ['42-27=15', '15-9=6']
Exploring Operation: 20-6=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 20+6=26, Resulting Numbers: [26]
26,15 unequal: No Solution
Exploring Operation: 20*6=120, Resulting Numbers: [120]
120,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 15:[15, 29], Operations: ['42-27=15', '9+20=29']
Exploring Operation: 29-15=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 15+29=44, Resulting Numbers: [44]
44,15 unequal: No Solution
Exploring Operation: 15*29=435, Resulting Numbers: [435]
435,15 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1,2
Current State: 15:[20, 24], Operations: ['42-27=15', '9+15=24']
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 20*24=480, Resulting Numbers: [480]
480,15 unequal: No Solution
Exploring Operation: 20+24=44, Resulting Numbers: [44]
44,15 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: 15:[9, 27, 22], Operations: ['42-20=22']
Exploring Operation: 9+27=36, Resulting Numbers: [22, 36]
Generated Node #0,4,0: 15:[22, 36] Operation: 9+27=36
Exploring Operation: 27/9=3, Resulting Numbers: [22, 3]
Generated Node #0,4,1: 15:[22, 3] Operation: 27/9=3
Exploring Operation: 27-9=18, Resulting Numbers: [22, 18]
Generated Node #0,4,2: 15:[22, 18] Operation: 27-9=18
Exploring Operation: 27-22=5, Resulting Numbers: [9, 5]
Generated Node #0,4,3: 15:[9, 5] Operation: 27-22=5
Exploring Operation: 22-9=13, Resulting Numbers: [27, 13]
Generated Node #0,4,4: 15:[27, 13] Operation: 22-9=13
Start Sub Search at level 1: Moving to Node #0,4,3
Current State: 15:[9, 5], Operations: ['42-20=22', '27-22=5']
Exploring Operation: 9-5=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 9*5=45, Resulting Numbers: [45]
45,15 unequal: No Solution
Exploring Operation: 9+5=14, Resulting Numbers: [14]
14,15 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 #0,4,1
Current State: 15:[22, 3], Operations: ['42-20=22', '27/9=3']
Exploring Operation: 22+3=25, Resulting Numbers: [25]
25,15 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 22*3=66, Resulting Numbers: [66]
66,15 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 #0,4,2
Current State: 15:[22, 18], Operations: ['42-20=22', '27-9=18']
Exploring Operation: 22+18=40, Resulting Numbers: [40]
40,15 unequal: No Solution
Exploring Operation: 22-18=4, Resulting Numbers: [4]
4,15 unequal: No Solution
Exploring Operation: 22*18=396, Resulting Numbers: [396]
396,15 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 #0,4,4
Current State: 15:[27, 13], Operations: ['42-20=22', '22-9=13']
Exploring Operation: 27-13=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 27*13=351, Resulting Numbers: [351]
351,15 unequal: No Solution
Exploring Operation: 27+13=40, Resulting Numbers: [40]
40,15 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 #0,4,0
Current State: 15:[22, 36], Operations: ['42-20=22', '9+27=36']
Exploring Operation: 36-22=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Exploring Operation: 22+36=58, Resulting Numbers: [58]
58,15 unequal: No Solution
Exploring Operation: 22*36=792, Resulting Numbers: [792]
792,15 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: 15:[20, 42, 3], Operations: ['27/9=3']
Exploring Operation: 20+3=23, Resulting Numbers: [42, 23]
Generated Node #0,2,0: 15:[42, 23] Operation: 20+3=23
Exploring Operation: 42/3=14, Resulting Numbers: [20, 14]
Generated Node #0,2,1: 15:[20, 14] Operation: 42/3=14
Exploring Operation: 20-3=17, Resulting Numbers: [42, 17]
Generated Node #0,2,2: 15:[42, 17] Operation: 20-3=17
Exploring Operation: 42-3=39, Resulting Numbers: [20, 39]
Generated Node #0,2,3: 15:[20, 39] Operation: 42-3=39
Exploring Operation: 42-20=22, Resulting Numbers: [3, 22]
Generated Node #0,2,4: 15:[3, 22] Operation: 42-20=22
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 15:[20, 14], Operations: ['27/9=3', '42/3=14']
Exploring Operation: 20-14=6, Resulting Numbers: [6]
6,15 unequal: No Solution
Exploring Operation: 20+14=34, Resulting Numbers: [34]
34,15 unequal: No Solution
Exploring Operation: 20*14=280, Resulting Numbers: [280]
280,15 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 #0,2,4
Current State: 15:[3, 22], Operations: ['27/9=3', '42-20=22']
Exploring Operation: 3+22=25, Resulting Numbers: [25]
25,15 unequal: No Solution
Exploring Operation: 3*22=66, Resulting Numbers: [66]
66,15 unequal: No Solution
Exploring Operation: 22-3=19, Resulting Numbers: [19]
19,15 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 #0,2,2
Current State: 15:[42, 17], Operations: ['27/9=3', '20-3=17']
Exploring Operation: 42*17=714, Resulting Numbers: [714]
714,15 unequal: No Solution
Exploring Operation: 42+17=59, Resulting Numbers: [59]
59,15 unequal: No Solution
Exploring Operation: 42-17=25, Resulting Numbers: [25]
25,15 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 #0,2,3
Current State: 15:[20, 39], Operations: ['27/9=3', '42-3=39']
Exploring Operation: 20*39=780, Resulting Numbers: [780]
780,15 unequal: No Solution
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,15 unequal: No Solution
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,15 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 #0,2,0
Current State: 15:[42, 23], Operations: ['27/9=3', '20+3=23']
Exploring Operation: 42-23=19, Resulting Numbers: [19]
19,15 unequal: No Solution
Exploring Operation: 42+23=65, Resulting Numbers: [65]
65,15 unequal: No Solution
Exploring Operation: 42*23=966, Resulting Numbers: [966]
966,15 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: 15:[9, 42, 7], Operations: ['27-20=7']
Exploring Operation: 42/7=6, Resulting Numbers: [9, 6]
Generated Node #0,3,0: 15:[9, 6] Operation: 42/7=6
Exploring Operation: 42-9=33, Resulting Numbers: [7, 33]
Generated Node #0,3,1: 15:[7, 33] Operation: 42-9=33
Exploring Operation: 9-7=2, Resulting Numbers: [42, 2]
Generated Node #0,3,2: 15:[42, 2] Operation: 9-7=2
Exploring Operation: 42-7=35, Resulting Numbers: [9, 35]
Generated Node #0,3,3: 15:[9, 35] Operation: 42-7=35
Exploring Operation: 9+7=16, Resulting Numbers: [42, 16]
Generated Node #0,3,4: 15:[42, 16] Operation: 9+7=16
Moving to Node #0,0
Current State: 15:[20, 27, 33], Operations: ['42-9=33']
Exploring Operation: 20+33=53, Resulting Numbers: [27, 53]
Generated Node #0,0,0: 15:[27, 53] Operation: 20+33=53
Exploring Operation: 33-20=13, Resulting Numbers: [27, 13]
Generated Node #0,0,1: 15:[27, 13] Operation: 33-20=13
Exploring Operation: 27-20=7, Resulting Numbers: [33, 7]
Generated Node #0,0,2: 15:[33, 7] Operation: 27-20=7
Exploring Operation: 33-27=6, Resulting Numbers: [20, 6]
Generated Node #0,0,3: 15:[20, 6] Operation: 33-27=6
Exploring Operation: 20+27=47, Resulting Numbers: [33, 47]
Generated Node #0,0,4: 15:[33, 47] Operation: 20+27=47
Moving to Node #0,3,0
Current State: 15:[9, 6], Operations: ['27-20=7', '42/7=6']
Exploring Operation: 9*6=54, Resulting Numbers: [54]
54,15 unequal: No Solution
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
Moving to Node #0
Current State: 15:[9, 20, 42, 27], Operations: []
Exploring Operation: 27-20=7, Resulting Numbers: [9, 42, 7]
Generated Node #0,3: 15:[9, 42, 7] Operation: 27-20=7
Moving to Node #0,3
Current State: 15:[9, 42, 7], Operations: ['27-20=7']
Exploring Operation: 42/7=6, Resulting Numbers: [9, 6]
Generated Node #0,3,0: 15:[9, 6] Operation: 42/7=6
Moving to Node #0,3,0
Current State: 15:[9, 6], Operations: ['27-20=7', '42/7=6']
Exploring Operation: 9+6=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.929688
|
hs_5
|
mult_heuristic
|
[
82,
32,
82,
9
] | 24
|
[
"82/82=1",
"32-9=23",
"1+23=24"
] |
Current State: 24:[82, 32, 82, 9], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [32, 9, 1]
Generated Node #2: [32, 9, 1] from Operation: 82/82=1
Current State: 24:[32, 9, 1], Operations: ['82/82=1']
Exploring Operation: 32-9=23, Resulting Numbers: [1, 23]
Generated Node #3: [1, 23] from Operation: 32-9=23
Current State: 24:[1, 23], Operations: ['82/82=1', '32-9=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4
|
Current State: 24:[82, 32, 82, 9], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [32, 9, 1]
Generated Node #0,0: 24:[32, 9, 1] Operation: 82/82=1
Exploring Operation: 82-32=50, Resulting Numbers: [82, 9, 50]
Generated Node #0,1: 24:[82, 9, 50] Operation: 82-32=50
Exploring Operation: 82-82=0, Resulting Numbers: [32, 9, 0]
Generated Node #0,2: 24:[32, 9, 0] Operation: 82-82=0
Exploring Operation: 82-32=50, Resulting Numbers: [82, 9, 50]
Generated Node #0,3: 24:[82, 9, 50] Operation: 82-32=50
Moving to Node #0,0
Current State: 24:[32, 9, 1], Operations: ['82/82=1']
Exploring Operation: 32-9=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 24:[1, 23] Operation: 32-9=23
Exploring Operation: 32*1=32, Resulting Numbers: [9, 32]
Generated Node #0,0,1: 24:[9, 32] Operation: 32*1=32
Exploring Operation: 32-1=31, Resulting Numbers: [9, 31]
Generated Node #0,0,2: 24:[9, 31] Operation: 32-1=31
Exploring Operation: 9-1=8, Resulting Numbers: [32, 8]
Generated Node #0,0,3: 24:[32, 8] Operation: 9-1=8
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 24:[1, 23], Operations: ['82/82=1', '32-9=23']
Exploring Operation: 23/1=23, Resulting Numbers: [23]
23,24 unequal: No Solution
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Moving to Node #0
Current State: 24:[82, 32, 82, 9], Operations: []
Exploring Operation: 82/82=1, Resulting Numbers: [32, 9, 1]
Generated Node #0,0: 24:[32, 9, 1] Operation: 82/82=1
Moving to Node #0,0
Current State: 24:[32, 9, 1], Operations: ['82/82=1']
Exploring Operation: 32-9=23, Resulting Numbers: [1, 23]
Generated Node #0,0,0: 24:[1, 23] Operation: 32-9=23
Moving to Node #0,0,0
Current State: 24:[1, 23], Operations: ['82/82=1', '32-9=23']
Exploring Operation: 1+23=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
Exit Sub Search at level 1
| 0.987847
|
hs_4
|
sum_heuristic
|
[
29,
9,
45,
18
] | 22
|
[
"45+18=63",
"63/9=7",
"29-7=22"
] |
Current State: 22:[29, 9, 45, 18], Operations: []
Exploring Operation: 45+18=63, Resulting Numbers: [29, 9, 63]
Generated Node #2: [29, 9, 63] from Operation: 45+18=63
Current State: 22:[29, 9, 63], Operations: ['45+18=63']
Exploring Operation: 63/9=7, Resulting Numbers: [29, 7]
Generated Node #3: [29, 7] from Operation: 63/9=7
Current State: 22:[29, 7], Operations: ['45+18=63', '63/9=7']
Exploring Operation: 29-7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4
|
Current State: 22:[29, 9, 45, 18], Operations: []
Exploring Operation: 45/9=5, Resulting Numbers: [29, 18, 5]
Generated Node #0,0: 22:[29, 18, 5] Operation: 45/9=5
Exploring Operation: 45-29=16, Resulting Numbers: [9, 18, 16]
Generated Node #0,1: 22:[9, 18, 16] Operation: 45-29=16
Moving to Node #0,1
Current State: 22:[9, 18, 16], Operations: ['45-29=16']
Exploring Operation: 18-16=2, Resulting Numbers: [9, 2]
Generated Node #0,1,0: 22:[9, 2] Operation: 18-16=2
Exploring Operation: 18/9=2, Resulting Numbers: [16, 2]
Generated Node #0,1,1: 22:[16, 2] Operation: 18/9=2
Moving to Node #0,0
Current State: 22:[29, 18, 5], Operations: ['45/9=5']
Exploring Operation: 29-5=24, Resulting Numbers: [18, 24]
Generated Node #0,0,0: 22:[18, 24] Operation: 29-5=24
Exploring Operation: 29-18=11, Resulting Numbers: [5, 11]
Generated Node #0,0,1: 22:[5, 11] Operation: 29-18=11
Moving to Node #0,1,0
Current State: 22:[9, 2], Operations: ['45-29=16', '18-16=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,22 unequal: No Solution
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[5, 11], Operations: ['45/9=5', '29-18=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[16, 2], Operations: ['45-29=16', '18/9=2']
Exploring Operation: 16-2=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Exploring Operation: 16/2=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[18, 24], Operations: ['45/9=5', '29-5=24']
Exploring Operation: 18+24=42, Resulting Numbers: [42]
42,22 unequal: No Solution
Exploring Operation: 24-18=6, Resulting Numbers: [6]
6,22 unequal: No Solution
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
26,
12,
62,
59
] | 90
|
[
"62-59=3",
"26*3=78",
"12+78=90"
] |
Current State: 90:[26, 12, 62, 59], Operations: []
Exploring Operation: 62-59=3, Resulting Numbers: [26, 12, 3]
Generated Node #2: [26, 12, 3] from Operation: 62-59=3
Current State: 90:[26, 12, 3], Operations: ['62-59=3']
Exploring Operation: 26*3=78, Resulting Numbers: [12, 78]
Generated Node #3: [12, 78] from Operation: 26*3=78
Current State: 90:[12, 78], Operations: ['62-59=3', '26*3=78']
Exploring Operation: 12+78=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4
|
Current State: 90:[26, 12, 62, 59], Operations: []
Exploring Operation: 62-12=50, Resulting Numbers: [26, 59, 50]
Generated Node #0,0: 90:[26, 59, 50] Operation: 62-12=50
Exploring Operation: 62-26=36, Resulting Numbers: [12, 59, 36]
Generated Node #0,1: 90:[12, 59, 36] Operation: 62-26=36
Exploring Operation: 59-26=33, Resulting Numbers: [12, 62, 33]
Generated Node #0,2: 90:[12, 62, 33] Operation: 59-26=33
Exploring Operation: 62-59=3, Resulting Numbers: [26, 12, 3]
Generated Node #0,3: 90:[26, 12, 3] Operation: 62-59=3
Exploring Operation: 26+62=88, Resulting Numbers: [12, 59, 88]
Generated Node #0,4: 90:[12, 59, 88] Operation: 26+62=88
Start Sub Search at level 1: Moving to Node #0,3
Current State: 90:[26, 12, 3], Operations: ['62-59=3']
Exploring Operation: 12+3=15, Resulting Numbers: [26, 15]
Generated Node #0,3,0: 90:[26, 15] Operation: 12+3=15
Exploring Operation: 12-3=9, Resulting Numbers: [26, 9]
Generated Node #0,3,1: 90:[26, 9] Operation: 12-3=9
Exploring Operation: 12/3=4, Resulting Numbers: [26, 4]
Generated Node #0,3,2: 90:[26, 4] Operation: 12/3=4
Exploring Operation: 26+3=29, Resulting Numbers: [12, 29]
Generated Node #0,3,3: 90:[12, 29] Operation: 26+3=29
Exploring Operation: 26-12=14, Resulting Numbers: [3, 14]
Generated Node #0,3,4: 90:[3, 14] Operation: 26-12=14
Start Sub Search at level 2: Moving to Node #0,3,4
Current State: 90:[3, 14], Operations: ['62-59=3', '26-12=14']
Exploring Operation: 3*14=42, Resulting Numbers: [42]
42,90 unequal: No Solution
Exploring Operation: 14-3=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 3+14=17, Resulting Numbers: [17]
17,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,3
Current State: 90:[12, 29], Operations: ['62-59=3', '26+3=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,0
Current State: 90:[26, 15], Operations: ['62-59=3', '12+3=15']
Exploring Operation: 26-15=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 26+15=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 26*15=390, Resulting Numbers: [390]
390,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 90:[26, 9], Operations: ['62-59=3', '12-3=9']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,90 unequal: No Solution
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,3,2
Current State: 90:[26, 4], Operations: ['62-59=3', '12/3=4']
Exploring Operation: 26-4=22, Resulting Numbers: [22]
22,90 unequal: No Solution
Exploring Operation: 26+4=30, Resulting Numbers: [30]
30,90 unequal: No Solution
Exploring Operation: 26*4=104, Resulting Numbers: [104]
104,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,4
Current State: 90:[12, 59, 88], Operations: ['26+62=88']
Exploring Operation: 12+59=71, Resulting Numbers: [88, 71]
Generated Node #0,4,0: 90:[88, 71] Operation: 12+59=71
Exploring Operation: 88-59=29, Resulting Numbers: [12, 29]
Generated Node #0,4,1: 90:[12, 29] Operation: 88-59=29
Exploring Operation: 88-12=76, Resulting Numbers: [59, 76]
Generated Node #0,4,2: 90:[59, 76] Operation: 88-12=76
Exploring Operation: 12+88=100, Resulting Numbers: [59, 100]
Generated Node #0,4,3: 90:[59, 100] Operation: 12+88=100
Exploring Operation: 59-12=47, Resulting Numbers: [88, 47]
Generated Node #0,4,4: 90:[88, 47] Operation: 59-12=47
Start Sub Search at level 2: Moving to Node #0,4,1
Current State: 90:[12, 29], Operations: ['26+62=88', '88-59=29']
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,4
Current State: 90:[88, 47], Operations: ['26+62=88', '59-12=47']
Exploring Operation: 88+47=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 88-47=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 88*47=4136, Resulting Numbers: [4136]
4136,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,0
Current State: 90:[88, 71], Operations: ['26+62=88', '12+59=71']
Exploring Operation: 88*71=6248, Resulting Numbers: [6248]
6248,90 unequal: No Solution
Exploring Operation: 88+71=159, Resulting Numbers: [159]
159,90 unequal: No Solution
Exploring Operation: 88-71=17, Resulting Numbers: [17]
17,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,3
Current State: 90:[59, 100], Operations: ['26+62=88', '12+88=100']
Exploring Operation: 100-59=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 59*100=5900, Resulting Numbers: [5900]
5900,90 unequal: No Solution
Exploring Operation: 59+100=159, Resulting Numbers: [159]
159,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 90:[59, 76], Operations: ['26+62=88', '88-12=76']
Exploring Operation: 76-59=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 59+76=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 59*76=4484, Resulting Numbers: [4484]
4484,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 90:[12, 59, 36], Operations: ['62-26=36']
Exploring Operation: 36/12=3, Resulting Numbers: [59, 3]
Generated Node #0,1,0: 90:[59, 3] Operation: 36/12=3
Exploring Operation: 59+36=95, Resulting Numbers: [12, 95]
Generated Node #0,1,1: 90:[12, 95] Operation: 59+36=95
Exploring Operation: 59-36=23, Resulting Numbers: [12, 23]
Generated Node #0,1,2: 90:[12, 23] Operation: 59-36=23
Exploring Operation: 59-12=47, Resulting Numbers: [36, 47]
Generated Node #0,1,3: 90:[36, 47] Operation: 59-12=47
Exploring Operation: 12+36=48, Resulting Numbers: [59, 48]
Generated Node #0,1,4: 90:[59, 48] Operation: 12+36=48
Moving to Node #0,1,1
Current State: 90:[12, 95], Operations: ['62-26=36', '59+36=95']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,90 unequal: No Solution
Exploring Operation: 12+95=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Exploring Operation: 12*95=1140, Resulting Numbers: [1140]
1140,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[12, 23], Operations: ['62-26=36', '59-36=23']
Exploring Operation: 12*23=276, Resulting Numbers: [276]
276,90 unequal: No Solution
Exploring Operation: 12+23=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 23-12=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Moving to Node #0,1,3
Current State: 90:[36, 47], Operations: ['62-26=36', '59-12=47']
Exploring Operation: 47-36=11, Resulting Numbers: [11]
11,90 unequal: No Solution
Exploring Operation: 36+47=83, Resulting Numbers: [83]
83,90 unequal: No Solution
Exploring Operation: 36*47=1692, Resulting Numbers: [1692]
1692,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[59, 3], Operations: ['62-26=36', '36/12=3']
Exploring Operation: 59*3=177, Resulting Numbers: [177]
177,90 unequal: No Solution
Exploring Operation: 59+3=62, Resulting Numbers: [62]
62,90 unequal: No Solution
Exploring Operation: 59-3=56, Resulting Numbers: [56]
56,90 unequal: No Solution
Moving to Node #0,1,4
Current State: 90:[59, 48], Operations: ['62-26=36', '12+36=48']
Exploring Operation: 59*48=2832, Resulting Numbers: [2832]
2832,90 unequal: No Solution
Exploring Operation: 59+48=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,90 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2
Current State: 90:[12, 62, 33], Operations: ['59-26=33']
Exploring Operation: 12+33=45, Resulting Numbers: [62, 45]
Generated Node #0,2,0: 90:[62, 45] Operation: 12+33=45
Exploring Operation: 12+62=74, Resulting Numbers: [33, 74]
Generated Node #0,2,1: 90:[33, 74] Operation: 12+62=74
Exploring Operation: 62-33=29, Resulting Numbers: [12, 29]
Generated Node #0,2,2: 90:[12, 29] Operation: 62-33=29
Exploring Operation: 62-12=50, Resulting Numbers: [33, 50]
Generated Node #0,2,3: 90:[33, 50] Operation: 62-12=50
Exploring Operation: 62+33=95, Resulting Numbers: [12, 95]
Generated Node #0,2,4: 90:[12, 95] Operation: 62+33=95
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 90:[12, 29], Operations: ['59-26=33', '62-33=29']
Exploring Operation: 29-12=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 12*29=348, Resulting Numbers: [348]
348,90 unequal: No Solution
Exploring Operation: 12+29=41, Resulting Numbers: [41]
41,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,4
Current State: 90:[12, 95], Operations: ['59-26=33', '62+33=95']
Exploring Operation: 95-12=83, Resulting Numbers: [83]
83,90 unequal: No Solution
Exploring Operation: 12*95=1140, Resulting Numbers: [1140]
1140,90 unequal: No Solution
Exploring Operation: 12+95=107, Resulting Numbers: [107]
107,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,3
Current State: 90:[33, 50], Operations: ['59-26=33', '62-12=50']
Exploring Operation: 33+50=83, Resulting Numbers: [83]
83,90 unequal: No Solution
Exploring Operation: 33*50=1650, Resulting Numbers: [1650]
1650,90 unequal: No Solution
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,0
Current State: 90:[62, 45], Operations: ['59-26=33', '12+33=45']
Exploring Operation: 62*45=2790, Resulting Numbers: [2790]
2790,90 unequal: No Solution
Exploring Operation: 62+45=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Exploring Operation: 62-45=17, Resulting Numbers: [17]
17,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,2,1
Current State: 90:[33, 74], Operations: ['59-26=33', '12+62=74']
Exploring Operation: 33*74=2442, Resulting Numbers: [2442]
2442,90 unequal: No Solution
Exploring Operation: 74-33=41, Resulting Numbers: [41]
41,90 unequal: No Solution
Exploring Operation: 33+74=107, Resulting Numbers: [107]
107,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 90:[26, 59, 50], Operations: ['62-12=50']
Exploring Operation: 59-50=9, Resulting Numbers: [26, 9]
Generated Node #0,0,0: 90:[26, 9] Operation: 59-50=9
Exploring Operation: 59-26=33, Resulting Numbers: [50, 33]
Generated Node #0,0,1: 90:[50, 33] Operation: 59-26=33
Exploring Operation: 26+59=85, Resulting Numbers: [50, 85]
Generated Node #0,0,2: 90:[50, 85] Operation: 26+59=85
Exploring Operation: 59+50=109, Resulting Numbers: [26, 109]
Generated Node #0,0,3: 90:[26, 109] Operation: 59+50=109
Exploring Operation: 50-26=24, Resulting Numbers: [59, 24]
Generated Node #0,0,4: 90:[59, 24] Operation: 50-26=24
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 90:[26, 9], Operations: ['62-12=50', '59-50=9']
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 26*9=234, Resulting Numbers: [234]
234,90 unequal: No Solution
Exploring Operation: 26+9=35, Resulting Numbers: [35]
35,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 90:[50, 33], Operations: ['62-12=50', '59-26=33']
Exploring Operation: 50*33=1650, Resulting Numbers: [1650]
1650,90 unequal: No Solution
Exploring Operation: 50-33=17, Resulting Numbers: [17]
17,90 unequal: No Solution
Exploring Operation: 50+33=83, Resulting Numbers: [83]
83,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,2
Current State: 90:[50, 85], Operations: ['62-12=50', '26+59=85']
Exploring Operation: 85-50=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 50*85=4250, Resulting Numbers: [4250]
4250,90 unequal: No Solution
Exploring Operation: 50+85=135, Resulting Numbers: [135]
135,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,4
Current State: 90:[59, 24], Operations: ['62-12=50', '50-26=24']
Exploring Operation: 59-24=35, Resulting Numbers: [35]
35,90 unequal: No Solution
Exploring Operation: 59*24=1416, Resulting Numbers: [1416]
1416,90 unequal: No Solution
Exploring Operation: 59+24=83, Resulting Numbers: [83]
83,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,3
Current State: 90:[26, 109], Operations: ['62-12=50', '59+50=109']
Exploring Operation: 26*109=2834, Resulting Numbers: [2834]
2834,90 unequal: No Solution
Exploring Operation: 26+109=135, Resulting Numbers: [135]
135,90 unequal: No Solution
Exploring Operation: 109-26=83, Resulting Numbers: [83]
83,90 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_5
|
sum_heuristic
|
[
61,
14,
61,
33
] | 46
|
[
"61/61=1",
"14+33=47",
"47-1=46"
] |
Current State: 46:[61, 14, 61, 33], Operations: []
Exploring Operation: 61/61=1, Resulting Numbers: [14, 33, 1]
Generated Node #2: [14, 33, 1] from Operation: 61/61=1
Current State: 46:[14, 33, 1], Operations: ['61/61=1']
Exploring Operation: 14+33=47, Resulting Numbers: [1, 47]
Generated Node #3: [1, 47] from Operation: 14+33=47
Current State: 46:[1, 47], Operations: ['61/61=1', '14+33=47']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4
|
Current State: 46:[61, 14, 61, 33], Operations: []
Exploring Operation: 61/61=1, Resulting Numbers: [14, 33, 1]
Generated Node #0,0: 46:[14, 33, 1] Operation: 61/61=1
Start Sub Search at level 1: Moving to Node #0,0
Current State: 46:[14, 33, 1], Operations: ['61/61=1']
Exploring Operation: 14+33=47, Resulting Numbers: [1, 47]
Generated Node #0,0,0: 46:[1, 47] Operation: 14+33=47
Moving to Node #0,0,0
Current State: 46:[1, 47], Operations: ['61/61=1', '14+33=47']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Moving to Node #0
Current State: 46:[61, 14, 61, 33], Operations: []
Exploring Operation: 61/61=1, Resulting Numbers: [14, 33, 1]
Generated Node #0,0: 46:[14, 33, 1] Operation: 61/61=1
Moving to Node #0,0
Current State: 46:[14, 33, 1], Operations: ['61/61=1']
Exploring Operation: 14+33=47, Resulting Numbers: [1, 47]
Generated Node #0,0,0: 46:[1, 47] Operation: 14+33=47
Moving to Node #0,0,0
Current State: 46:[1, 47], Operations: ['61/61=1', '14+33=47']
Exploring Operation: 47-1=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
sum_heuristic
|
[
18,
66,
41,
40
] | 83
|
[
"18+66=84",
"41-40=1",
"84-1=83"
] |
Current State: 83:[18, 66, 41, 40], Operations: []
Exploring Operation: 18+66=84, Resulting Numbers: [41, 40, 84]
Generated Node #2: [41, 40, 84] from Operation: 18+66=84
Current State: 83:[41, 40, 84], Operations: ['18+66=84']
Exploring Operation: 41-40=1, Resulting Numbers: [84, 1]
Generated Node #3: [84, 1] from Operation: 41-40=1
Current State: 83:[84, 1], Operations: ['18+66=84', '41-40=1']
Exploring Operation: 84-1=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4
|
Current State: 83:[18, 66, 41, 40], Operations: []
Exploring Operation: 66-18=48, Resulting Numbers: [41, 40, 48]
Generated Node #0,0: 83:[41, 40, 48] Operation: 66-18=48
Exploring Operation: 18+66=84, Resulting Numbers: [41, 40, 84]
Generated Node #0,1: 83:[41, 40, 84] Operation: 18+66=84
Exploring Operation: 18+40=58, Resulting Numbers: [66, 41, 58]
Generated Node #0,2: 83:[66, 41, 58] Operation: 18+40=58
Exploring Operation: 41+40=81, Resulting Numbers: [18, 66, 81]
Generated Node #0,3: 83:[18, 66, 81] Operation: 41+40=81
Exploring Operation: 18+41=59, Resulting Numbers: [66, 40, 59]
Generated Node #0,4: 83:[66, 40, 59] Operation: 18+41=59
Moving to Node #0,2
Current State: 83:[66, 41, 58], Operations: ['18+40=58']
Exploring Operation: 58-41=17, Resulting Numbers: [66, 17]
Generated Node #0,2,0: 83:[66, 17] Operation: 58-41=17
Exploring Operation: 66-41=25, Resulting Numbers: [58, 25]
Generated Node #0,2,1: 83:[58, 25] Operation: 66-41=25
Exploring Operation: 66+41=107, Resulting Numbers: [58, 107]
Generated Node #0,2,2: 83:[58, 107] Operation: 66+41=107
Exploring Operation: 66+58=124, Resulting Numbers: [41, 124]
Generated Node #0,2,3: 83:[41, 124] Operation: 66+58=124
Exploring Operation: 41+58=99, Resulting Numbers: [66, 99]
Generated Node #0,2,4: 83:[66, 99] Operation: 41+58=99
Start Sub Search at level 1: Moving to Node #0,2,4
Current State: 83:[66, 99], Operations: ['18+40=58', '41+58=99']
Exploring Operation: 99-66=33, Resulting Numbers: [33]
33,83 unequal: No Solution
Exploring Operation: 66*99=6534, Resulting Numbers: [6534]
6534,83 unequal: No Solution
Exploring Operation: 66+99=165, Resulting Numbers: [165]
165,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 83:[58, 107], Operations: ['18+40=58', '66+41=107']
Exploring Operation: 58*107=6206, Resulting Numbers: [6206]
6206,83 unequal: No Solution
Exploring Operation: 107-58=49, Resulting Numbers: [49]
49,83 unequal: No Solution
Exploring Operation: 58+107=165, Resulting Numbers: [165]
165,83 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 83:[66, 17], Operations: ['18+40=58', '58-41=17']
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Moving to Node #0
Current State: 83:[18, 66, 41, 40], Operations: []
Exploring Operation: 18+40=58, Resulting Numbers: [66, 41, 58]
Generated Node #0,2: 83:[66, 41, 58] Operation: 18+40=58
Moving to Node #0,2
Current State: 83:[66, 41, 58], Operations: ['18+40=58']
Exploring Operation: 58-41=17, Resulting Numbers: [66, 17]
Generated Node #0,2,0: 83:[66, 17] Operation: 58-41=17
Moving to Node #0,2,0
Current State: 83:[66, 17], Operations: ['18+40=58', '58-41=17']
Exploring Operation: 66+17=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
Exit Sub Search at level 1
| 0.981771
|
hs_5
|
sum_heuristic
|
[
90,
8,
10,
18
] | 81
|
[
"10-8=2",
"18/2=9",
"90-9=81"
] |
Current State: 81:[90, 8, 10, 18], Operations: []
Exploring Operation: 10-8=2, Resulting Numbers: [90, 18, 2]
Generated Node #2: [90, 18, 2] from Operation: 10-8=2
Current State: 81:[90, 18, 2], Operations: ['10-8=2']
Exploring Operation: 18/2=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 18/2=9
Current State: 81:[90, 9], Operations: ['10-8=2', '18/2=9']
Exploring Operation: 90-9=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4
|
Current State: 81:[90, 8, 10, 18], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [8, 18, 9]
Generated Node #0,0: 81:[8, 18, 9] Operation: 90/10=9
Exploring Operation: 90/18=5, Resulting Numbers: [8, 10, 5]
Generated Node #0,1: 81:[8, 10, 5] Operation: 90/18=5
Exploring Operation: 90-8=82, Resulting Numbers: [10, 18, 82]
Generated Node #0,2: 81:[10, 18, 82] Operation: 90-8=82
Moving to Node #0,1
Current State: 81:[8, 10, 5], Operations: ['90/18=5']
Exploring Operation: 8*10=80, Resulting Numbers: [5, 80]
Generated Node #0,1,0: 81:[5, 80] Operation: 8*10=80
Exploring Operation: 10/5=2, Resulting Numbers: [8, 2]
Generated Node #0,1,1: 81:[8, 2] Operation: 10/5=2
Exploring Operation: 8-5=3, Resulting Numbers: [10, 3]
Generated Node #0,1,2: 81:[10, 3] Operation: 8-5=3
Moving to Node #0,0
Current State: 81:[8, 18, 9], Operations: ['90/10=9']
Exploring Operation: 8+18=26, Resulting Numbers: [9, 26]
Generated Node #0,0,0: 81:[9, 26] Operation: 8+18=26
Exploring Operation: 18+9=27, Resulting Numbers: [8, 27]
Generated Node #0,0,1: 81:[8, 27] Operation: 18+9=27
Exploring Operation: 18-8=10, Resulting Numbers: [9, 10]
Generated Node #0,0,2: 81:[9, 10] Operation: 18-8=10
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 81:[9, 26], Operations: ['90/10=9', '8+18=26']
Exploring Operation: 9+26=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 9*26=234, Resulting Numbers: [234]
234,81 unequal: No Solution
Exploring Operation: 26-9=17, Resulting Numbers: [17]
17,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 81:[8, 27], Operations: ['90/10=9', '18+9=27']
Exploring Operation: 8+27=35, Resulting Numbers: [35]
35,81 unequal: No Solution
Exploring Operation: 27-8=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 8*27=216, Resulting Numbers: [216]
216,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 81:[9, 10], Operations: ['90/10=9', '18-8=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,81 unequal: No Solution
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,81 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,2
Current State: 81:[10, 18, 82], Operations: ['90-8=82']
Exploring Operation: 18-10=8, Resulting Numbers: [82, 8]
Generated Node #0,2,0: 81:[82, 8] Operation: 18-10=8
Exploring Operation: 82-10=72, Resulting Numbers: [18, 72]
Generated Node #0,2,1: 81:[18, 72] Operation: 82-10=72
Exploring Operation: 10+18=28, Resulting Numbers: [82, 28]
Generated Node #0,2,2: 81:[82, 28] Operation: 10+18=28
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 81:[82, 8], Operations: ['90-8=82', '18-10=8']
Exploring Operation: 82-8=74, Resulting Numbers: [74]
74,81 unequal: No Solution
Exploring Operation: 82+8=90, Resulting Numbers: [90]
90,81 unequal: No Solution
Exploring Operation: 82*8=656, Resulting Numbers: [656]
656,81 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 #0,2,2
Current State: 81:[82, 28], Operations: ['90-8=82', '10+18=28']
Exploring Operation: 82+28=110, Resulting Numbers: [110]
110,81 unequal: No Solution
Exploring Operation: 82-28=54, Resulting Numbers: [54]
54,81 unequal: No Solution
Exploring Operation: 82*28=2296, Resulting Numbers: [2296]
2296,81 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 #0,2,1
Current State: 81:[18, 72], Operations: ['90-8=82', '82-10=72']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Exploring Operation: 72-18=54, Resulting Numbers: [54]
54,81 unequal: No Solution
Exploring Operation: 18+72=90, Resulting Numbers: [90]
90,81 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: 81:[10, 3], Operations: ['90/18=5', '8-5=3']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,81 unequal: No Solution
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,81 unequal: No Solution
Exploring Operation: 10+3=13, Resulting Numbers: [13]
13,81 unequal: No Solution
Moving to Node #0,1,1
Current State: 81:[8, 2], Operations: ['90/18=5', '10/5=2']
Exploring Operation: 8+2=10, Resulting Numbers: [10]
10,81 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,81 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,81 unequal: No Solution
Moving to Node #0,1,0
Current State: 81:[5, 80], Operations: ['90/18=5', '8*10=80']
Exploring Operation: 80-5=75, Resulting Numbers: [75]
75,81 unequal: No Solution
Exploring Operation: 5+80=85, Resulting Numbers: [85]
85,81 unequal: No Solution
Exploring Operation: 80/5=16, Resulting Numbers: [16]
16,81 unequal: No Solution
No solution found.
| 0
|
hs_3
|
sum_heuristic
|
[
65,
31,
65,
64
] | 32
|
[
"65/65=1",
"64-31=33",
"33-1=32"
] |
Current State: 32:[65, 31, 65, 64], Operations: []
Exploring Operation: 65/65=1, Resulting Numbers: [31, 64, 1]
Generated Node #2: [31, 64, 1] from Operation: 65/65=1
Current State: 32:[31, 64, 1], Operations: ['65/65=1']
Exploring Operation: 64-31=33, Resulting Numbers: [1, 33]
Generated Node #3: [1, 33] from Operation: 64-31=33
Current State: 32:[1, 33], Operations: ['65/65=1', '64-31=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
Current State: 32:[65, 31, 65, 64], Operations: []
Exploring Operation: 65/65=1, Resulting Numbers: [31, 64, 1]
Generated Node #0,0: 32:[31, 64, 1] Operation: 65/65=1
Exploring Operation: 65-65=0, Resulting Numbers: [31, 64, 0]
Generated Node #0,1: 32:[31, 64, 0] Operation: 65-65=0
Moving to Node #0,0
Current State: 32:[31, 64, 1], Operations: ['65/65=1']
Exploring Operation: 31+1=32, Resulting Numbers: [64, 32]
Generated Node #0,0,0: 32:[64, 32] Operation: 31+1=32
Exploring Operation: 64-31=33, Resulting Numbers: [1, 33]
Generated Node #0,0,1: 32:[1, 33] Operation: 64-31=33
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 32:[1, 33], Operations: ['65/65=1', '64-31=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Moving to Node #0
Current State: 32:[65, 31, 65, 64], Operations: []
Exploring Operation: 65/65=1, Resulting Numbers: [31, 64, 1]
Generated Node #0,0: 32:[31, 64, 1] Operation: 65/65=1
Moving to Node #0,0
Current State: 32:[31, 64, 1], Operations: ['65/65=1']
Exploring Operation: 64-31=33, Resulting Numbers: [1, 33]
Generated Node #0,0,1: 32:[1, 33] Operation: 64-31=33
Moving to Node #0,0,1
Current State: 32:[1, 33], Operations: ['65/65=1', '64-31=33']
Exploring Operation: 33-1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
Exit Sub Search at level 1
| 0.992188
|
hs_2
|
mult_heuristic
|
[
21,
28,
24,
64
] | 82
|
[
"21*24=504",
"504/28=18",
"64+18=82"
] |
Current State: 82:[21, 28, 24, 64], Operations: []
Exploring Operation: 21*24=504, Resulting Numbers: [28, 64, 504]
Generated Node #2: [28, 64, 504] from Operation: 21*24=504
Current State: 82:[28, 64, 504], Operations: ['21*24=504']
Exploring Operation: 504/28=18, Resulting Numbers: [64, 18]
Generated Node #3: [64, 18] from Operation: 504/28=18
Current State: 82:[64, 18], Operations: ['21*24=504', '504/28=18']
Exploring Operation: 64+18=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4
|
Current State: 82:[21, 28, 24, 64], Operations: []
Exploring Operation: 24-21=3, Resulting Numbers: [28, 64, 3]
Generated Node #0,0: 82:[28, 64, 3] Operation: 24-21=3
Start Sub Search at level 1: Moving to Node #0,0
Current State: 82:[28, 64, 3], Operations: ['24-21=3']
Exploring Operation: 64-28=36, Resulting Numbers: [3, 36]
Generated Node #0,0,0: 82:[3, 36] Operation: 64-28=36
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 82:[3, 36], Operations: ['24-21=3', '64-28=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,82 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
80,
50,
99,
55
] | 86
|
[
"80+50=130",
"99-55=44",
"130-44=86"
] |
Current State: 86:[80, 50, 99, 55], Operations: []
Exploring Operation: 80+50=130, Resulting Numbers: [99, 55, 130]
Generated Node #2: [99, 55, 130] from Operation: 80+50=130
Current State: 86:[99, 55, 130], Operations: ['80+50=130']
Exploring Operation: 99-55=44, Resulting Numbers: [130, 44]
Generated Node #3: [130, 44] from Operation: 99-55=44
Current State: 86:[130, 44], Operations: ['80+50=130', '99-55=44']
Exploring Operation: 130-44=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4
|
Current State: 86:[80, 50, 99, 55], Operations: []
Exploring Operation: 99-55=44, Resulting Numbers: [80, 50, 44]
Generated Node #0,0: 86:[80, 50, 44] Operation: 99-55=44
Moving to Node #0,0
Current State: 86:[80, 50, 44], Operations: ['99-55=44']
Exploring Operation: 50-44=6, Resulting Numbers: [80, 6]
Generated Node #0,0,0: 86:[80, 6] Operation: 50-44=6
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 86:[80, 6], Operations: ['99-55=44', '50-44=6']
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Moving to Node #0
Current State: 86:[80, 50, 99, 55], Operations: []
Exploring Operation: 99-55=44, Resulting Numbers: [80, 50, 44]
Generated Node #0,0: 86:[80, 50, 44] Operation: 99-55=44
Moving to Node #0,0
Current State: 86:[80, 50, 44], Operations: ['99-55=44']
Exploring Operation: 50-44=6, Resulting Numbers: [80, 6]
Generated Node #0,0,0: 86:[80, 6] Operation: 50-44=6
Moving to Node #0,0,0
Current State: 86:[80, 6], Operations: ['99-55=44', '50-44=6']
Exploring Operation: 80+6=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
Exit Sub Search at level 1
| 0.993924
|
hs_1
|
mult_heuristic
|
[
84,
41,
43,
7
] | 96
|
[
"84/7=12",
"41+43=84",
"12+84=96"
] |
Current State: 96:[84, 41, 43, 7], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [41, 43, 12]
Generated Node #2: [41, 43, 12] from Operation: 84/7=12
Current State: 96:[41, 43, 12], Operations: ['84/7=12']
Exploring Operation: 41+43=84, Resulting Numbers: [12, 84]
Generated Node #3: [12, 84] from Operation: 41+43=84
Current State: 96:[12, 84], Operations: ['84/7=12', '41+43=84']
Exploring Operation: 12+84=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4
|
Current State: 96:[84, 41, 43, 7], Operations: []
Exploring Operation: 84/7=12, Resulting Numbers: [41, 43, 12]
Generated Node #0,0: 96:[41, 43, 12] Operation: 84/7=12
Exploring Operation: 84-41=43, Resulting Numbers: [43, 7, 43]
Generated Node #0,1: 96:[43, 7, 43] Operation: 84-41=43
Moving to Node #0,1
Current State: 96:[43, 7, 43], Operations: ['84-41=43']
Exploring Operation: 43-43=0, Resulting Numbers: [7, 0]
Generated Node #0,1,0: 96:[7, 0] Operation: 43-43=0
Exploring Operation: 43/43=1, Resulting Numbers: [7, 1]
Generated Node #0,1,1: 96:[7, 1] Operation: 43/43=1
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 96:[7, 1], Operations: ['84-41=43', '43/43=1']
Exploring Operation: 7-1=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 7+1=8, Resulting Numbers: [8]
8,96 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 #0,1,0
Current State: 96:[7, 0], Operations: ['84-41=43', '43-43=0']
Exploring Operation: 7-0=7, Resulting Numbers: [7]
7,96 unequal: No Solution
Exploring Operation: 7+0=7, Resulting Numbers: [7]
7,96 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:[41, 43, 12], Operations: ['84/7=12']
Exploring Operation: 41-12=29, Resulting Numbers: [43, 29]
Generated Node #0,0,0: 96:[43, 29] Operation: 41-12=29
Exploring Operation: 43-41=2, Resulting Numbers: [12, 2]
Generated Node #0,0,1: 96:[12, 2] Operation: 43-41=2
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 96:[12, 2], Operations: ['84/7=12', '43-41=2']
Exploring Operation: 12/2=6, Resulting Numbers: [6]
6,96 unequal: No Solution
Exploring Operation: 12*2=24, Resulting Numbers: [24]
24,96 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 #0,0,0
Current State: 96:[43, 29], Operations: ['84/7=12', '41-12=29']
Exploring Operation: 43+29=72, Resulting Numbers: [72]
72,96 unequal: No Solution
Exploring Operation: 43-29=14, Resulting Numbers: [14]
14,96 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
64,
36,
65,
29
] | 63
|
[
"65-36=29",
"29/29=1",
"64-1=63"
] |
Current State: 63:[64, 36, 65, 29], Operations: []
Exploring Operation: 65-36=29, Resulting Numbers: [64, 29, 29]
Generated Node #2: [64, 29, 29] from Operation: 65-36=29
Current State: 63:[64, 29, 29], Operations: ['65-36=29']
Exploring Operation: 29/29=1, Resulting Numbers: [64, 1]
Generated Node #3: [64, 1] from Operation: 29/29=1
Current State: 63:[64, 1], Operations: ['65-36=29', '29/29=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[64, 36, 65, 29], Operations: []
Exploring Operation: 36-29=7, Resulting Numbers: [64, 65, 7]
Generated Node #0,0: 63:[64, 65, 7] Operation: 36-29=7
Exploring Operation: 36+29=65, Resulting Numbers: [64, 65, 65]
Generated Node #0,1: 63:[64, 65, 65] Operation: 36+29=65
Start Sub Search at level 1: Moving to Node #0,0
Current State: 63:[64, 65, 7], Operations: ['36-29=7']
Exploring Operation: 65-64=1, Resulting Numbers: [7, 1]
Generated Node #0,0,0: 63:[7, 1] Operation: 65-64=1
Exploring Operation: 65-7=58, Resulting Numbers: [64, 58]
Generated Node #0,0,1: 63:[64, 58] Operation: 65-7=58
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 63:[7, 1], Operations: ['36-29=7', '65-64=1']
Exploring Operation: 7/1=7, Resulting Numbers: [7]
7,63 unequal: No Solution
Exploring Operation: 7*1=7, Resulting Numbers: [7]
7,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 63:[64, 58], Operations: ['36-29=7', '65-7=58']
Exploring Operation: 64-58=6, Resulting Numbers: [6]
6,63 unequal: No Solution
Exploring Operation: 64+58=122, Resulting Numbers: [122]
122,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[64, 65, 65], Operations: ['36+29=65']
Exploring Operation: 65/65=1, Resulting Numbers: [64, 1]
Generated Node #0,1,0: 63:[64, 1] Operation: 65/65=1
Exploring Operation: 65-64=1, Resulting Numbers: [65, 1]
Generated Node #0,1,1: 63:[65, 1] Operation: 65-64=1
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[64, 1], Operations: ['36+29=65', '65/65=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[64, 36, 65, 29], Operations: []
Exploring Operation: 36+29=65, Resulting Numbers: [64, 65, 65]
Generated Node #0,1: 63:[64, 65, 65] Operation: 36+29=65
Moving to Node #0,1
Current State: 63:[64, 65, 65], Operations: ['36+29=65']
Exploring Operation: 65/65=1, Resulting Numbers: [64, 1]
Generated Node #0,1,0: 63:[64, 1] Operation: 65/65=1
Moving to Node #0,1,0
Current State: 63:[64, 1], Operations: ['36+29=65', '65/65=1']
Exploring Operation: 64-1=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.986979
|
hs_2
|
mult_heuristic
|
[
9,
8,
27,
62
] | 72
|
[
"9+8=17",
"27+62=89",
"89-17=72"
] |
Current State: 72:[9, 8, 27, 62], Operations: []
Exploring Operation: 9+8=17, Resulting Numbers: [27, 62, 17]
Generated Node #2: [27, 62, 17] from Operation: 9+8=17
Current State: 72:[27, 62, 17], Operations: ['9+8=17']
Exploring Operation: 27+62=89, Resulting Numbers: [17, 89]
Generated Node #3: [17, 89] from Operation: 27+62=89
Current State: 72:[17, 89], Operations: ['9+8=17', '27+62=89']
Exploring Operation: 89-17=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4
|
Current State: 72:[9, 8, 27, 62], Operations: []
Exploring Operation: 9+62=71, Resulting Numbers: [8, 27, 71]
Generated Node #0,0: 72:[8, 27, 71] Operation: 9+62=71
Exploring Operation: 62-27=35, Resulting Numbers: [9, 8, 35]
Generated Node #0,1: 72:[9, 8, 35] Operation: 62-27=35
Start Sub Search at level 1: Moving to Node #0,1
Current State: 72:[9, 8, 35], Operations: ['62-27=35']
Exploring Operation: 9+8=17, Resulting Numbers: [35, 17]
Generated Node #0,1,0: 72:[35, 17] Operation: 9+8=17
Exploring Operation: 9*8=72, Resulting Numbers: [35, 72]
Generated Node #0,1,1: 72:[35, 72] Operation: 9*8=72
Moving to Node #0,1,1
Current State: 72:[35, 72], Operations: ['62-27=35', '9*8=72']
Exploring Operation: 72-35=37, Resulting Numbers: [37]
37,72 unequal: No Solution
Exploring Operation: 35+72=107, Resulting Numbers: [107]
107,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[35, 17], Operations: ['62-27=35', '9+8=17']
Exploring Operation: 35-17=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 35+17=52, Resulting Numbers: [52]
52,72 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 #0,0
Current State: 72:[8, 27, 71], Operations: ['9+62=71']
Exploring Operation: 8+27=35, Resulting Numbers: [71, 35]
Generated Node #0,0,0: 72:[71, 35] Operation: 8+27=35
Exploring Operation: 27-8=19, Resulting Numbers: [71, 19]
Generated Node #0,0,1: 72:[71, 19] Operation: 27-8=19
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 72:[71, 35], Operations: ['9+62=71', '8+27=35']
Exploring Operation: 71-35=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 71+35=106, Resulting Numbers: [106]
106,72 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 72:[71, 19], Operations: ['9+62=71', '27-8=19']
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,72 unequal: No Solution
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,72 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_2
|
mult_heuristic
|
[
49,
64,
95,
91
] | 65
|
[
"95-91=4",
"64/4=16",
"49+16=65"
] |
Current State: 65:[49, 64, 95, 91], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [49, 64, 4]
Generated Node #2: [49, 64, 4] from Operation: 95-91=4
Current State: 65:[49, 64, 4], Operations: ['95-91=4']
Exploring Operation: 64/4=16, Resulting Numbers: [49, 16]
Generated Node #3: [49, 16] from Operation: 64/4=16
Current State: 65:[49, 16], Operations: ['95-91=4', '64/4=16']
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4
|
Current State: 65:[49, 64, 95, 91], Operations: []
Exploring Operation: 91-49=42, Resulting Numbers: [64, 95, 42]
Generated Node #0,0: 65:[64, 95, 42] Operation: 91-49=42
Exploring Operation: 64-49=15, Resulting Numbers: [95, 91, 15]
Generated Node #0,1: 65:[95, 91, 15] Operation: 64-49=15
Exploring Operation: 95-64=31, Resulting Numbers: [49, 91, 31]
Generated Node #0,2: 65:[49, 91, 31] Operation: 95-64=31
Exploring Operation: 95-91=4, Resulting Numbers: [49, 64, 4]
Generated Node #0,3: 65:[49, 64, 4] Operation: 95-91=4
Exploring Operation: 95-49=46, Resulting Numbers: [64, 91, 46]
Generated Node #0,4: 65:[64, 91, 46] Operation: 95-49=46
Start Sub Search at level 1: Moving to Node #0,3
Current State: 65:[49, 64, 4], Operations: ['95-91=4']
Exploring Operation: 64/4=16, Resulting Numbers: [49, 16]
Generated Node #0,3,0: 65:[49, 16] Operation: 64/4=16
Exploring Operation: 49+4=53, Resulting Numbers: [64, 53]
Generated Node #0,3,1: 65:[64, 53] Operation: 49+4=53
Exploring Operation: 49-4=45, Resulting Numbers: [64, 45]
Generated Node #0,3,2: 65:[64, 45] Operation: 49-4=45
Exploring Operation: 64+4=68, Resulting Numbers: [49, 68]
Generated Node #0,3,3: 65:[49, 68] Operation: 64+4=68
Exploring Operation: 64-49=15, Resulting Numbers: [4, 15]
Generated Node #0,3,4: 65:[4, 15] Operation: 64-49=15
Moving to Node #0,3,4
Current State: 65:[4, 15], Operations: ['95-91=4', '64-49=15']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 4+15=19, Resulting Numbers: [19]
19,65 unequal: No Solution
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,65 unequal: No Solution
Moving to Node #0,3,1
Current State: 65:[64, 53], Operations: ['95-91=4', '49+4=53']
Exploring Operation: 64-53=11, Resulting Numbers: [11]
11,65 unequal: No Solution
Exploring Operation: 64*53=3392, Resulting Numbers: [3392]
3392,65 unequal: No Solution
Exploring Operation: 64+53=117, Resulting Numbers: [117]
117,65 unequal: No Solution
Moving to Node #0,3,0
Current State: 65:[49, 16], Operations: ['95-91=4', '64/4=16']
Exploring Operation: 49*16=784, Resulting Numbers: [784]
784,65 unequal: No Solution
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Moving to Node #0
Current State: 65:[49, 64, 95, 91], Operations: []
Exploring Operation: 95-91=4, Resulting Numbers: [49, 64, 4]
Generated Node #0,3: 65:[49, 64, 4] Operation: 95-91=4
Moving to Node #0,3
Current State: 65:[49, 64, 4], Operations: ['95-91=4']
Exploring Operation: 64/4=16, Resulting Numbers: [49, 16]
Generated Node #0,3,0: 65:[49, 16] Operation: 64/4=16
Moving to Node #0,3,0
Current State: 65:[49, 16], Operations: ['95-91=4', '64/4=16']
Exploring Operation: 49+16=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
Exit Sub Search at level 1
| 0.980903
|
hs_5
|
mult_heuristic
|
[
47,
51,
97,
31
] | 30
|
[
"47+51=98",
"97+31=128",
"128-98=30"
] |
Current State: 30:[47, 51, 97, 31], Operations: []
Exploring Operation: 47+51=98, Resulting Numbers: [97, 31, 98]
Generated Node #2: [97, 31, 98] from Operation: 47+51=98
Current State: 30:[97, 31, 98], Operations: ['47+51=98']
Exploring Operation: 97+31=128, Resulting Numbers: [98, 128]
Generated Node #3: [98, 128] from Operation: 97+31=128
Current State: 30:[98, 128], Operations: ['47+51=98', '97+31=128']
Exploring Operation: 128-98=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4
|
Current State: 30:[47, 51, 97, 31], Operations: []
Exploring Operation: 97-51=46, Resulting Numbers: [47, 31, 46]
Generated Node #0,0: 30:[47, 31, 46] Operation: 97-51=46
Exploring Operation: 97-47=50, Resulting Numbers: [51, 31, 50]
Generated Node #0,1: 30:[51, 31, 50] Operation: 97-47=50
Exploring Operation: 51-47=4, Resulting Numbers: [97, 31, 4]
Generated Node #0,2: 30:[97, 31, 4] Operation: 51-47=4
Moving to Node #0,0
Current State: 30:[47, 31, 46], Operations: ['97-51=46']
Exploring Operation: 47-31=16, Resulting Numbers: [46, 16]
Generated Node #0,0,0: 30:[46, 16] Operation: 47-31=16
Exploring Operation: 47-46=1, Resulting Numbers: [31, 1]
Generated Node #0,0,1: 30:[31, 1] Operation: 47-46=1
Exploring Operation: 46-31=15, Resulting Numbers: [47, 15]
Generated Node #0,0,2: 30:[47, 15] Operation: 46-31=15
Moving to Node #0,1
Current State: 30:[51, 31, 50], Operations: ['97-47=50']
Exploring Operation: 50-31=19, Resulting Numbers: [51, 19]
Generated Node #0,1,0: 30:[51, 19] Operation: 50-31=19
Exploring Operation: 51-50=1, Resulting Numbers: [31, 1]
Generated Node #0,1,1: 30:[31, 1] Operation: 51-50=1
Exploring Operation: 51-31=20, Resulting Numbers: [50, 20]
Generated Node #0,1,2: 30:[50, 20] Operation: 51-31=20
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 30:[31, 1], Operations: ['97-47=50', '51-50=1']
Exploring Operation: 31*1=31, Resulting Numbers: [31]
31,30 unequal: No Solution
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Moving to Node #0
Current State: 30:[47, 51, 97, 31], Operations: []
Exploring Operation: 97-47=50, Resulting Numbers: [51, 31, 50]
Generated Node #0,1: 30:[51, 31, 50] Operation: 97-47=50
Moving to Node #0,1
Current State: 30:[51, 31, 50], Operations: ['97-47=50']
Exploring Operation: 51-50=1, Resulting Numbers: [31, 1]
Generated Node #0,1,1: 30:[31, 1] Operation: 51-50=1
Moving to Node #0,1,1
Current State: 30:[31, 1], Operations: ['97-47=50', '51-50=1']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_3
|
mult_heuristic
|
[
21,
62,
10,
48
] | 32
|
[
"62+48=110",
"110/10=11",
"21+11=32"
] |
Current State: 32:[21, 62, 10, 48], Operations: []
Exploring Operation: 62+48=110, Resulting Numbers: [21, 10, 110]
Generated Node #2: [21, 10, 110] from Operation: 62+48=110
Current State: 32:[21, 10, 110], Operations: ['62+48=110']
Exploring Operation: 110/10=11, Resulting Numbers: [21, 11]
Generated Node #3: [21, 11] from Operation: 110/10=11
Current State: 32:[21, 11], Operations: ['62+48=110', '110/10=11']
Exploring Operation: 21+11=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4
|
Current State: 32:[21, 62, 10, 48], Operations: []
Exploring Operation: 62-48=14, Resulting Numbers: [21, 10, 14]
Generated Node #0,0: 32:[21, 10, 14] Operation: 62-48=14
Moving to Node #0,0
Current State: 32:[21, 10, 14], Operations: ['62-48=14']
Exploring Operation: 21+10=31, Resulting Numbers: [14, 31]
Generated Node #0,0,0: 32:[14, 31] Operation: 21+10=31
Moving to Node #0,0,0
Current State: 32:[14, 31], Operations: ['62-48=14', '21+10=31']
Exploring Operation: 31-14=17, Resulting Numbers: [17]
17,32 unequal: No Solution
No solution found.
| 0
|
hs_1
|
sum_heuristic
|
[
89,
46,
31,
65
] | 77
|
[
"89-46=43",
"65-31=34",
"43+34=77"
] |
Current State: 77:[89, 46, 31, 65], Operations: []
Exploring Operation: 89-46=43, Resulting Numbers: [31, 65, 43]
Generated Node #2: [31, 65, 43] from Operation: 89-46=43
Current State: 77:[31, 65, 43], Operations: ['89-46=43']
Exploring Operation: 65-31=34, Resulting Numbers: [43, 34]
Generated Node #3: [43, 34] from Operation: 65-31=34
Current State: 77:[43, 34], Operations: ['89-46=43', '65-31=34']
Exploring Operation: 43+34=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4
|
Current State: 77:[89, 46, 31, 65], Operations: []
Exploring Operation: 65-46=19, Resulting Numbers: [89, 31, 19]
Generated Node #0,0: 77:[89, 31, 19] Operation: 65-46=19
Exploring Operation: 46-31=15, Resulting Numbers: [89, 65, 15]
Generated Node #0,1: 77:[89, 65, 15] Operation: 46-31=15
Exploring Operation: 89-31=58, Resulting Numbers: [46, 65, 58]
Generated Node #0,2: 77:[46, 65, 58] Operation: 89-31=58
Exploring Operation: 46+31=77, Resulting Numbers: [89, 65, 77]
Generated Node #0,3: 77:[89, 65, 77] Operation: 46+31=77
Exploring Operation: 31+65=96, Resulting Numbers: [89, 46, 96]
Generated Node #0,4: 77:[89, 46, 96] Operation: 31+65=96
Start Sub Search at level 1: Moving to Node #0,3
Current State: 77:[89, 65, 77], Operations: ['46+31=77']
Exploring Operation: 89-65=24, Resulting Numbers: [77, 24]
Generated Node #0,3,0: 77:[77, 24] Operation: 89-65=24
Exploring Operation: 89+65=154, Resulting Numbers: [77, 154]
Generated Node #0,3,1: 77:[77, 154] Operation: 89+65=154
Exploring Operation: 89-77=12, Resulting Numbers: [65, 12]
Generated Node #0,3,2: 77:[65, 12] Operation: 89-77=12
Exploring Operation: 77-65=12, Resulting Numbers: [89, 12]
Generated Node #0,3,3: 77:[89, 12] Operation: 77-65=12
Exploring Operation: 65+77=142, Resulting Numbers: [89, 142]
Generated Node #0,3,4: 77:[89, 142] Operation: 65+77=142
Moving to Node #0,3,0
Current State: 77:[77, 24], Operations: ['46+31=77', '89-65=24']
Exploring Operation: 77+24=101, Resulting Numbers: [101]
101,77 unequal: No Solution
Exploring Operation: 77-24=53, Resulting Numbers: [53]
53,77 unequal: No Solution
Exploring Operation: 77*24=1848, Resulting Numbers: [1848]
1848,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[89, 12], Operations: ['46+31=77', '77-65=12']
Exploring Operation: 89*12=1068, Resulting Numbers: [1068]
1068,77 unequal: No Solution
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Moving to Node #0
Current State: 77:[89, 46, 31, 65], Operations: []
Exploring Operation: 46+31=77, Resulting Numbers: [89, 65, 77]
Generated Node #0,3: 77:[89, 65, 77] Operation: 46+31=77
Moving to Node #0,3
Current State: 77:[89, 65, 77], Operations: ['46+31=77']
Exploring Operation: 77-65=12, Resulting Numbers: [89, 12]
Generated Node #0,3,3: 77:[89, 12] Operation: 77-65=12
Moving to Node #0,3,3
Current State: 77:[89, 12], Operations: ['46+31=77', '77-65=12']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
Exit Sub Search at level 1
| 0.983507
|
hs_5
|
mult_heuristic
|
[
28,
78,
42,
66
] | 58
|
[
"78-28=50",
"42+66=108",
"108-50=58"
] |
Current State: 58:[28, 78, 42, 66], Operations: []
Exploring Operation: 78-28=50, Resulting Numbers: [42, 66, 50]
Generated Node #2: [42, 66, 50] from Operation: 78-28=50
Current State: 58:[42, 66, 50], Operations: ['78-28=50']
Exploring Operation: 42+66=108, Resulting Numbers: [50, 108]
Generated Node #3: [50, 108] from Operation: 42+66=108
Current State: 58:[50, 108], Operations: ['78-28=50', '42+66=108']
Exploring Operation: 108-50=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4
|
Current State: 58:[28, 78, 42, 66], Operations: []
Exploring Operation: 78-66=12, Resulting Numbers: [28, 42, 12]
Generated Node #0,0: 58:[28, 42, 12] Operation: 78-66=12
Exploring Operation: 66-42=24, Resulting Numbers: [28, 78, 24]
Generated Node #0,1: 58:[28, 78, 24] Operation: 66-42=24
Exploring Operation: 78-42=36, Resulting Numbers: [28, 66, 36]
Generated Node #0,2: 58:[28, 66, 36] Operation: 78-42=36
Exploring Operation: 78-28=50, Resulting Numbers: [42, 66, 50]
Generated Node #0,3: 58:[42, 66, 50] Operation: 78-28=50
Moving to Node #0,2
Current State: 58:[28, 66, 36], Operations: ['78-42=36']
Exploring Operation: 66-36=30, Resulting Numbers: [28, 30]
Generated Node #0,2,0: 58:[28, 30] Operation: 66-36=30
Exploring Operation: 66-28=38, Resulting Numbers: [36, 38]
Generated Node #0,2,1: 58:[36, 38] Operation: 66-28=38
Exploring Operation: 28+36=64, Resulting Numbers: [66, 64]
Generated Node #0,2,2: 58:[66, 64] Operation: 28+36=64
Exploring Operation: 36-28=8, Resulting Numbers: [66, 8]
Generated Node #0,2,3: 58:[66, 8] Operation: 36-28=8
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 58:[28, 30], Operations: ['78-42=36', '66-36=30']
Exploring Operation: 28*30=840, Resulting Numbers: [840]
840,58 unequal: No Solution
Exploring Operation: 30-28=2, Resulting Numbers: [2]
2,58 unequal: No Solution
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Moving to Node #0
Current State: 58:[28, 78, 42, 66], Operations: []
Exploring Operation: 78-42=36, Resulting Numbers: [28, 66, 36]
Generated Node #0,2: 58:[28, 66, 36] Operation: 78-42=36
Moving to Node #0,2
Current State: 58:[28, 66, 36], Operations: ['78-42=36']
Exploring Operation: 66-36=30, Resulting Numbers: [28, 30]
Generated Node #0,2,0: 58:[28, 30] Operation: 66-36=30
Moving to Node #0,2,0
Current State: 58:[28, 30], Operations: ['78-42=36', '66-36=30']
Exploring Operation: 28+30=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
Exit Sub Search at level 1
| 0.986979
|
hs_4
|
sum_heuristic
|
[
24,
78,
53,
92
] | 63
|
[
"24+78=102",
"92-53=39",
"102-39=63"
] |
Current State: 63:[24, 78, 53, 92], Operations: []
Exploring Operation: 24+78=102, Resulting Numbers: [53, 92, 102]
Generated Node #2: [53, 92, 102] from Operation: 24+78=102
Current State: 63:[53, 92, 102], Operations: ['24+78=102']
Exploring Operation: 92-53=39, Resulting Numbers: [102, 39]
Generated Node #3: [102, 39] from Operation: 92-53=39
Current State: 63:[102, 39], Operations: ['24+78=102', '92-53=39']
Exploring Operation: 102-39=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4
|
Current State: 63:[24, 78, 53, 92], Operations: []
Exploring Operation: 92-24=68, Resulting Numbers: [78, 53, 68]
Generated Node #0,0: 63:[78, 53, 68] Operation: 92-24=68
Exploring Operation: 92-78=14, Resulting Numbers: [24, 53, 14]
Generated Node #0,1: 63:[24, 53, 14] Operation: 92-78=14
Start Sub Search at level 1: Moving to Node #0,1
Current State: 63:[24, 53, 14], Operations: ['92-78=14']
Exploring Operation: 24-14=10, Resulting Numbers: [53, 10]
Generated Node #0,1,0: 63:[53, 10] Operation: 24-14=10
Exploring Operation: 53+14=67, Resulting Numbers: [24, 67]
Generated Node #0,1,1: 63:[24, 67] Operation: 53+14=67
Start Sub Search at level 2: Moving to Node #0,1,1
Current State: 63:[24, 67], Operations: ['92-78=14', '53+14=67']
Exploring Operation: 67-24=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 24+67=91, Resulting Numbers: [91]
91,63 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
Start Sub Search at level 2: Moving to Node #0,1,0
Current State: 63:[53, 10], Operations: ['92-78=14', '24-14=10']
Exploring Operation: 53-10=43, Resulting Numbers: [43]
43,63 unequal: No Solution
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Moving to Node #0
Current State: 63:[24, 78, 53, 92], Operations: []
Exploring Operation: 92-78=14, Resulting Numbers: [24, 53, 14]
Generated Node #0,1: 63:[24, 53, 14] Operation: 92-78=14
Moving to Node #0,1
Current State: 63:[24, 53, 14], Operations: ['92-78=14']
Exploring Operation: 24-14=10, Resulting Numbers: [53, 10]
Generated Node #0,1,0: 63:[53, 10] Operation: 24-14=10
Moving to Node #0,1,0
Current State: 63:[53, 10], Operations: ['92-78=14', '24-14=10']
Exploring Operation: 53+10=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
Exit Sub Search at level 2
Exit Sub Search at level 1
| 0.989583
|
hs_2
|
sum_heuristic
|
[
76,
20,
2,
73
] | 59
|
[
"76*2=152",
"20+73=93",
"152-93=59"
] |
Current State: 59:[76, 20, 2, 73], Operations: []
Exploring Operation: 76*2=152, Resulting Numbers: [20, 73, 152]
Generated Node #2: [20, 73, 152] from Operation: 76*2=152
Current State: 59:[20, 73, 152], Operations: ['76*2=152']
Exploring Operation: 20+73=93, Resulting Numbers: [152, 93]
Generated Node #3: [152, 93] from Operation: 20+73=93
Current State: 59:[152, 93], Operations: ['76*2=152', '20+73=93']
Exploring Operation: 152-93=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4
|
Current State: 59:[76, 20, 2, 73], Operations: []
Exploring Operation: 76-2=74, Resulting Numbers: [20, 73, 74]
Generated Node #0,0: 59:[20, 73, 74] Operation: 76-2=74
Exploring Operation: 20*2=40, Resulting Numbers: [76, 73, 40]
Generated Node #0,1: 59:[76, 73, 40] Operation: 20*2=40
Start Sub Search at level 1: Moving to Node #0,1
Current State: 59:[76, 73, 40], Operations: ['20*2=40']
Exploring Operation: 73-40=33, Resulting Numbers: [76, 33]
Generated Node #0,1,0: 59:[76, 33] Operation: 73-40=33
Exploring Operation: 76-40=36, Resulting Numbers: [73, 36]
Generated Node #0,1,1: 59:[73, 36] Operation: 76-40=36
Moving to Node #0,1,1
Current State: 59:[73, 36], Operations: ['20*2=40', '76-40=36']
Exploring Operation: 73-36=37, Resulting Numbers: [37]
37,59 unequal: No Solution
Exploring Operation: 73+36=109, Resulting Numbers: [109]
109,59 unequal: No Solution
Moving to Node #0,1,0
Current State: 59:[76, 33], Operations: ['20*2=40', '73-40=33']
Exploring Operation: 76-33=43, Resulting Numbers: [43]
43,59 unequal: No Solution
Exploring Operation: 76+33=109, Resulting Numbers: [109]
109,59 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 59:[20, 73, 74], Operations: ['76-2=74']
Exploring Operation: 73-20=53, Resulting Numbers: [74, 53]
Generated Node #0,0,0: 59:[74, 53] Operation: 73-20=53
Exploring Operation: 74-20=54, Resulting Numbers: [73, 54]
Generated Node #0,0,1: 59:[73, 54] Operation: 74-20=54
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 59:[73, 54], Operations: ['76-2=74', '74-20=54']
Exploring Operation: 73+54=127, Resulting Numbers: [127]
127,59 unequal: No Solution
Exploring Operation: 73-54=19, Resulting Numbers: [19]
19,59 unequal: No Solution
No 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: 59:[74, 53], Operations: ['76-2=74', '73-20=53']
Exploring Operation: 74+53=127, Resulting Numbers: [127]
127,59 unequal: No Solution
Exploring Operation: 74-53=21, Resulting Numbers: [21]
21,59 unequal: No Solution
No solution found.
Exit Sub Search at level 2
No solution found in sub search
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_2
|
mult_heuristic
|
[
90,
11,
70,
16
] | 21
|
[
"90+70=160",
"160/16=10",
"11+10=21"
] |
Current State: 21:[90, 11, 70, 16], Operations: []
Exploring Operation: 90+70=160, Resulting Numbers: [11, 16, 160]
Generated Node #2: [11, 16, 160] from Operation: 90+70=160
Current State: 21:[11, 16, 160], Operations: ['90+70=160']
Exploring Operation: 160/16=10, Resulting Numbers: [11, 10]
Generated Node #3: [11, 10] from Operation: 160/16=10
Current State: 21:[11, 10], Operations: ['90+70=160', '160/16=10']
Exploring Operation: 11+10=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4
|
Current State: 21:[90, 11, 70, 16], Operations: []
Exploring Operation: 90-16=74, Resulting Numbers: [11, 70, 74]
Generated Node #0,0: 21:[11, 70, 74] Operation: 90-16=74
Exploring Operation: 90-11=79, Resulting Numbers: [70, 16, 79]
Generated Node #0,1: 21:[70, 16, 79] Operation: 90-11=79
Exploring Operation: 90-70=20, Resulting Numbers: [11, 16, 20]
Generated Node #0,2: 21:[11, 16, 20] Operation: 90-70=20
Exploring Operation: 70-11=59, Resulting Numbers: [90, 16, 59]
Generated Node #0,3: 21:[90, 16, 59] Operation: 70-11=59
Exploring Operation: 70-16=54, Resulting Numbers: [90, 11, 54]
Generated Node #0,4: 21:[90, 11, 54] Operation: 70-16=54
Start Sub Search at level 1: Moving to Node #0,2
Current State: 21:[11, 16, 20], Operations: ['90-70=20']
Exploring Operation: 11+16=27, Resulting Numbers: [20, 27]
Generated Node #0,2,0: 21:[20, 27] Operation: 11+16=27
Exploring Operation: 11+20=31, Resulting Numbers: [16, 31]
Generated Node #0,2,1: 21:[16, 31] Operation: 11+20=31
Exploring Operation: 16-11=5, Resulting Numbers: [20, 5]
Generated Node #0,2,2: 21:[20, 5] Operation: 16-11=5
Exploring Operation: 20-11=9, Resulting Numbers: [16, 9]
Generated Node #0,2,3: 21:[16, 9] Operation: 20-11=9
Exploring Operation: 20-16=4, Resulting Numbers: [11, 4]
Generated Node #0,2,4: 21:[11, 4] Operation: 20-16=4
Start Sub Search at level 2: Moving to Node #0,2,2
Current State: 21:[20, 5], Operations: ['90-70=20', '16-11=5']
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: 20+5=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,21 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 #0,2,4
Current State: 21:[11, 4], Operations: ['90-70=20', '20-16=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,21 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 #0,2,0
Current State: 21:[20, 27], Operations: ['90-70=20', '11+16=27']
Exploring Operation: 27-20=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 20*27=540, Resulting Numbers: [540]
540,21 unequal: No Solution
Exploring Operation: 20+27=47, Resulting Numbers: [47]
47,21 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 #0,2,3
Current State: 21:[16, 9], Operations: ['90-70=20', '20-11=9']
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,21 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 #0,2,1
Current State: 21:[16, 31], Operations: ['90-70=20', '11+20=31']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,21 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 #0,0
Current State: 21:[11, 70, 74], Operations: ['90-16=74']
Exploring Operation: 74-11=63, Resulting Numbers: [70, 63]
Generated Node #0,0,0: 21:[70, 63] Operation: 74-11=63
Exploring Operation: 70-11=59, Resulting Numbers: [74, 59]
Generated Node #0,0,1: 21:[74, 59] Operation: 70-11=59
Exploring Operation: 74-70=4, Resulting Numbers: [11, 4]
Generated Node #0,0,2: 21:[11, 4] Operation: 74-70=4
Exploring Operation: 11+70=81, Resulting Numbers: [74, 81]
Generated Node #0,0,3: 21:[74, 81] Operation: 11+70=81
Exploring Operation: 11+74=85, Resulting Numbers: [70, 85]
Generated Node #0,0,4: 21:[70, 85] Operation: 11+74=85
Moving to Node #0,0,2
Current State: 21:[11, 4], Operations: ['90-16=74', '74-70=4']
Exploring Operation: 11-4=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 11*4=44, Resulting Numbers: [44]
44,21 unequal: No Solution
Exploring Operation: 11+4=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Moving to Node #0,0,1
Current State: 21:[74, 59], Operations: ['90-16=74', '70-11=59']
Exploring Operation: 74-59=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 74+59=133, Resulting Numbers: [133]
133,21 unequal: No Solution
Exploring Operation: 74*59=4366, Resulting Numbers: [4366]
4366,21 unequal: No Solution
Moving to Node #0,0,0
Current State: 21:[70, 63], Operations: ['90-16=74', '74-11=63']
Exploring Operation: 70+63=133, Resulting Numbers: [133]
133,21 unequal: No Solution
Exploring Operation: 70*63=4410, Resulting Numbers: [4410]
4410,21 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Moving to Node #0,0,3
Current State: 21:[74, 81], Operations: ['90-16=74', '11+70=81']
Exploring Operation: 74+81=155, Resulting Numbers: [155]
155,21 unequal: No Solution
Exploring Operation: 81-74=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 74*81=5994, Resulting Numbers: [5994]
5994,21 unequal: No Solution
Moving to Node #0,0,4
Current State: 21:[70, 85], Operations: ['90-16=74', '11+74=85']
Exploring Operation: 85-70=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 70+85=155, Resulting Numbers: [155]
155,21 unequal: No Solution
Exploring Operation: 70*85=5950, Resulting Numbers: [5950]
5950,21 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 #0,4
Current State: 21:[90, 11, 54], Operations: ['70-16=54']
Exploring Operation: 90-11=79, Resulting Numbers: [54, 79]
Generated Node #0,4,0: 21:[54, 79] Operation: 90-11=79
Exploring Operation: 54-11=43, Resulting Numbers: [90, 43]
Generated Node #0,4,1: 21:[90, 43] Operation: 54-11=43
Exploring Operation: 90-54=36, Resulting Numbers: [11, 36]
Generated Node #0,4,2: 21:[11, 36] Operation: 90-54=36
Exploring Operation: 11+54=65, Resulting Numbers: [90, 65]
Generated Node #0,4,3: 21:[90, 65] Operation: 11+54=65
Exploring Operation: 90+11=101, Resulting Numbers: [54, 101]
Generated Node #0,4,4: 21:[54, 101] Operation: 90+11=101
Start Sub Search at level 2: Moving to Node #0,4,2
Current State: 21:[11, 36], Operations: ['70-16=54', '90-54=36']
Exploring Operation: 11*36=396, Resulting Numbers: [396]
396,21 unequal: No Solution
Exploring Operation: 36-11=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 11+36=47, Resulting Numbers: [47]
47,21 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 #0,4,0
Current State: 21:[54, 79], Operations: ['70-16=54', '90-11=79']
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 54+79=133, Resulting Numbers: [133]
133,21 unequal: No Solution
Exploring Operation: 54*79=4266, Resulting Numbers: [4266]
4266,21 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 #0,4,1
Current State: 21:[90, 43], Operations: ['70-16=54', '54-11=43']
Exploring Operation: 90*43=3870, Resulting Numbers: [3870]
3870,21 unequal: No Solution
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 90+43=133, Resulting Numbers: [133]
133,21 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 #0,4,3
Current State: 21:[90, 65], Operations: ['70-16=54', '11+54=65']
Exploring Operation: 90-65=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 90+65=155, Resulting Numbers: [155]
155,21 unequal: No Solution
Exploring Operation: 90*65=5850, Resulting Numbers: [5850]
5850,21 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 #0,4,4
Current State: 21:[54, 101], Operations: ['70-16=54', '90+11=101']
Exploring Operation: 101-54=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 54*101=5454, Resulting Numbers: [5454]
5454,21 unequal: No Solution
Exploring Operation: 54+101=155, Resulting Numbers: [155]
155,21 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 #0,1
Current State: 21:[70, 16, 79], Operations: ['90-11=79']
Exploring Operation: 79-70=9, Resulting Numbers: [16, 9]
Generated Node #0,1,0: 21:[16, 9] Operation: 79-70=9
Exploring Operation: 16+79=95, Resulting Numbers: [70, 95]
Generated Node #0,1,1: 21:[70, 95] Operation: 16+79=95
Exploring Operation: 70+16=86, Resulting Numbers: [79, 86]
Generated Node #0,1,2: 21:[79, 86] Operation: 70+16=86
Exploring Operation: 79-16=63, Resulting Numbers: [70, 63]
Generated Node #0,1,3: 21:[70, 63] Operation: 79-16=63
Exploring Operation: 70-16=54, Resulting Numbers: [79, 54]
Generated Node #0,1,4: 21:[79, 54] Operation: 70-16=54
Moving to Node #0,1,0
Current State: 21:[16, 9], Operations: ['90-11=79', '79-70=9']
Exploring Operation: 16-9=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Exploring Operation: 16*9=144, Resulting Numbers: [144]
144,21 unequal: No Solution
Exploring Operation: 16+9=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Moving to Node #0,1,4
Current State: 21:[79, 54], Operations: ['90-11=79', '70-16=54']
Exploring Operation: 79+54=133, Resulting Numbers: [133]
133,21 unequal: No Solution
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 79*54=4266, Resulting Numbers: [4266]
4266,21 unequal: No Solution
Moving to Node #0,1,3
Current State: 21:[70, 63], Operations: ['90-11=79', '79-16=63']
Exploring Operation: 70+63=133, Resulting Numbers: [133]
133,21 unequal: No Solution
Exploring Operation: 70*63=4410, Resulting Numbers: [4410]
4410,21 unequal: No Solution
Exploring Operation: 70-63=7, Resulting Numbers: [7]
7,21 unequal: No Solution
Moving to Node #0,1,1
Current State: 21:[70, 95], Operations: ['90-11=79', '16+79=95']
Exploring Operation: 70+95=165, Resulting Numbers: [165]
165,21 unequal: No Solution
Exploring Operation: 95-70=25, Resulting Numbers: [25]
25,21 unequal: No Solution
Exploring Operation: 70*95=6650, Resulting Numbers: [6650]
6650,21 unequal: No Solution
Moving to Node #0,1,2
Current State: 21:[79, 86], Operations: ['90-11=79', '70+16=86']
Exploring Operation: 79*86=6794, Resulting Numbers: [6794]
6794,21 unequal: No Solution
Exploring Operation: 79+86=165, Resulting Numbers: [165]
165,21 unequal: No Solution
Exploring Operation: 86-79=7, Resulting Numbers: [7]
7,21 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:[90, 16, 59], Operations: ['70-11=59']
Exploring Operation: 16+59=75, Resulting Numbers: [90, 75]
Generated Node #0,3,0: 21:[90, 75] Operation: 16+59=75
Exploring Operation: 90-59=31, Resulting Numbers: [16, 31]
Generated Node #0,3,1: 21:[16, 31] Operation: 90-59=31
Exploring Operation: 90-16=74, Resulting Numbers: [59, 74]
Generated Node #0,3,2: 21:[59, 74] Operation: 90-16=74
Exploring Operation: 90+16=106, Resulting Numbers: [59, 106]
Generated Node #0,3,3: 21:[59, 106] Operation: 90+16=106
Exploring Operation: 59-16=43, Resulting Numbers: [90, 43]
Generated Node #0,3,4: 21:[90, 43] Operation: 59-16=43
Moving to Node #0,3,1
Current State: 21:[16, 31], Operations: ['70-11=59', '90-59=31']
Exploring Operation: 31-16=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 16+31=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 16*31=496, Resulting Numbers: [496]
496,21 unequal: No Solution
Moving to Node #0,3,4
Current State: 21:[90, 43], Operations: ['70-11=59', '59-16=43']
Exploring Operation: 90-43=47, Resulting Numbers: [47]
47,21 unequal: No Solution
Exploring Operation: 90+43=133, Resulting Numbers: [133]
133,21 unequal: No Solution
Exploring Operation: 90*43=3870, Resulting Numbers: [3870]
3870,21 unequal: No Solution
Moving to Node #0,3,2
Current State: 21:[59, 74], Operations: ['70-11=59', '90-16=74']
Exploring Operation: 59+74=133, Resulting Numbers: [133]
133,21 unequal: No Solution
Exploring Operation: 59*74=4366, Resulting Numbers: [4366]
4366,21 unequal: No Solution
Exploring Operation: 74-59=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Moving to Node #0,3,0
Current State: 21:[90, 75], Operations: ['70-11=59', '16+59=75']
Exploring Operation: 90+75=165, Resulting Numbers: [165]
165,21 unequal: No Solution
Exploring Operation: 90-75=15, Resulting Numbers: [15]
15,21 unequal: No Solution
Exploring Operation: 90*75=6750, Resulting Numbers: [6750]
6750,21 unequal: No Solution
Moving to Node #0,3,3
Current State: 21:[59, 106], Operations: ['70-11=59', '90+16=106']
Exploring Operation: 59*106=6254, Resulting Numbers: [6254]
6254,21 unequal: No Solution
Exploring Operation: 59+106=165, Resulting Numbers: [165]
165,21 unequal: No Solution
Exploring Operation: 106-59=47, Resulting Numbers: [47]
47,21 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
|
[
79,
35,
32,
54
] | 42
|
[
"79-35=44",
"32+54=86",
"86-44=42"
] |
Current State: 42:[79, 35, 32, 54], Operations: []
Exploring Operation: 79-35=44, Resulting Numbers: [32, 54, 44]
Generated Node #2: [32, 54, 44] from Operation: 79-35=44
Current State: 42:[32, 54, 44], Operations: ['79-35=44']
Exploring Operation: 32+54=86, Resulting Numbers: [44, 86]
Generated Node #3: [44, 86] from Operation: 32+54=86
Current State: 42:[44, 86], Operations: ['79-35=44', '32+54=86']
Exploring Operation: 86-44=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 4
|
Current State: 42:[79, 35, 32, 54], Operations: []
Exploring Operation: 79-35=44, Resulting Numbers: [32, 54, 44]
Generated Node #0,0: 42:[32, 54, 44] Operation: 79-35=44
Exploring Operation: 54-32=22, Resulting Numbers: [79, 35, 22]
Generated Node #0,1: 42:[79, 35, 22] Operation: 54-32=22
Exploring Operation: 79-54=25, Resulting Numbers: [35, 32, 25]
Generated Node #0,2: 42:[35, 32, 25] Operation: 79-54=25
Exploring Operation: 79-32=47, Resulting Numbers: [35, 54, 47]
Generated Node #0,3: 42:[35, 54, 47] Operation: 79-32=47
Exploring Operation: 35-32=3, Resulting Numbers: [79, 54, 3]
Generated Node #0,4: 42:[79, 54, 3] Operation: 35-32=3
Moving to Node #0,2
Current State: 42:[35, 32, 25], Operations: ['79-54=25']
Exploring Operation: 35-32=3, Resulting Numbers: [25, 3]
Generated Node #0,2,0: 42:[25, 3] Operation: 35-32=3
Exploring Operation: 32-25=7, Resulting Numbers: [35, 7]
Generated Node #0,2,1: 42:[35, 7] Operation: 32-25=7
Exploring Operation: 35-25=10, Resulting Numbers: [32, 10]
Generated Node #0,2,2: 42:[32, 10] Operation: 35-25=10
Exploring Operation: 32+25=57, Resulting Numbers: [35, 57]
Generated Node #0,2,3: 42:[35, 57] Operation: 32+25=57
Exploring Operation: 35+25=60, Resulting Numbers: [32, 60]
Generated Node #0,2,4: 42:[32, 60] Operation: 35+25=60
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 42:[25, 3], Operations: ['79-54=25', '35-32=3']
Exploring Operation: 25-3=22, Resulting Numbers: [22]
22,42 unequal: No Solution
Exploring Operation: 25+3=28, Resulting Numbers: [28]
28,42 unequal: No Solution
Exploring Operation: 25*3=75, Resulting Numbers: [75]
75,42 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 #0,2,1
Current State: 42:[35, 7], Operations: ['79-54=25', '32-25=7']
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Moving to Node #0
Current State: 42:[79, 35, 32, 54], Operations: []
Exploring Operation: 79-54=25, Resulting Numbers: [35, 32, 25]
Generated Node #0,2: 42:[35, 32, 25] Operation: 79-54=25
Moving to Node #0,2
Current State: 42:[35, 32, 25], Operations: ['79-54=25']
Exploring Operation: 32-25=7, Resulting Numbers: [35, 7]
Generated Node #0,2,1: 42:[35, 7] Operation: 32-25=7
Moving to Node #0,2,1
Current State: 42:[35, 7], Operations: ['79-54=25', '32-25=7']
Exploring Operation: 35+7=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
Exit Sub Search at level 1
| 0.984375
|
hs_5
|
mult_heuristic
|
[
2,
65,
59,
88
] | 76
|
[
"65-59=6",
"2*6=12",
"88-12=76"
] |
Current State: 76:[2, 65, 59, 88], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [2, 88, 6]
Generated Node #2: [2, 88, 6] from Operation: 65-59=6
Current State: 76:[2, 88, 6], Operations: ['65-59=6']
Exploring Operation: 2*6=12, Resulting Numbers: [88, 12]
Generated Node #3: [88, 12] from Operation: 2*6=12
Current State: 76:[88, 12], Operations: ['65-59=6', '2*6=12']
Exploring Operation: 88-12=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4
|
Current State: 76:[2, 65, 59, 88], Operations: []
Exploring Operation: 65-59=6, Resulting Numbers: [2, 88, 6]
Generated Node #0,0: 76:[2, 88, 6] Operation: 65-59=6
Start Sub Search at level 1: Moving to Node #0,0
Current State: 76:[2, 88, 6], Operations: ['65-59=6']
Exploring Operation: 88-6=82, Resulting Numbers: [2, 82]
Generated Node #0,0,0: 76:[2, 82] Operation: 88-6=82
Start Sub Search at level 2: Moving to Node #0,0,0
Current State: 76:[2, 82], Operations: ['65-59=6', '88-6=82']
Exploring Operation: 82/2=41, Resulting Numbers: [41]
41,76 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
|
[
2,
19,
5,
4
] | 66
|
[
"2*5=10",
"19*4=76",
"76-10=66"
] |
Current State: 66:[2, 19, 5, 4], Operations: []
Exploring Operation: 2*5=10, Resulting Numbers: [19, 4, 10]
Generated Node #2: [19, 4, 10] from Operation: 2*5=10
Current State: 66:[19, 4, 10], Operations: ['2*5=10']
Exploring Operation: 19*4=76, Resulting Numbers: [10, 76]
Generated Node #3: [10, 76] from Operation: 19*4=76
Current State: 66:[10, 76], Operations: ['2*5=10', '19*4=76']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4
|
Current State: 66:[2, 19, 5, 4], Operations: []
Exploring Operation: 19+5=24, Resulting Numbers: [2, 4, 24]
Generated Node #0,0: 66:[2, 4, 24] Operation: 19+5=24
Exploring Operation: 19+4=23, Resulting Numbers: [2, 5, 23]
Generated Node #0,1: 66:[2, 5, 23] Operation: 19+4=23
Exploring Operation: 5-2=3, Resulting Numbers: [19, 4, 3]
Generated Node #0,2: 66:[19, 4, 3] Operation: 5-2=3
Exploring Operation: 2+19=21, Resulting Numbers: [5, 4, 21]
Generated Node #0,3: 66:[5, 4, 21] Operation: 2+19=21
Start Sub Search at level 1: Moving to Node #0,1
Current State: 66:[2, 5, 23], Operations: ['19+4=23']
Exploring Operation: 2*5=10, Resulting Numbers: [23, 10]
Generated Node #0,1,0: 66:[23, 10] Operation: 2*5=10
Exploring Operation: 2+5=7, Resulting Numbers: [23, 7]
Generated Node #0,1,1: 66:[23, 7] Operation: 2+5=7
Exploring Operation: 5-2=3, Resulting Numbers: [23, 3]
Generated Node #0,1,2: 66:[23, 3] Operation: 5-2=3
Exploring Operation: 23-2=21, Resulting Numbers: [5, 21]
Generated Node #0,1,3: 66:[5, 21] Operation: 23-2=21
Moving to Node #0,1,2
Current State: 66:[23, 3], Operations: ['19+4=23', '5-2=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,66 unequal: No Solution
Moving to Node #0,1,1
Current State: 66:[23, 7], Operations: ['19+4=23', '2+5=7']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,66 unequal: No Solution
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 23*7=161, Resulting Numbers: [161]
161,66 unequal: No Solution
Moving to Node #0,1,0
Current State: 66:[23, 10], Operations: ['19+4=23', '2*5=10']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,66 unequal: No Solution
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,66 unequal: No Solution
Exploring Operation: 23*10=230, Resulting Numbers: [230]
230,66 unequal: No Solution
Moving to Node #0,1,3
Current State: 66:[5, 21], Operations: ['19+4=23', '23-2=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,66 unequal: No Solution
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0
Current State: 66:[2, 4, 24], Operations: ['19+5=24']
Exploring Operation: 24-2=22, Resulting Numbers: [4, 22]
Generated Node #0,0,0: 66:[4, 22] Operation: 24-2=22
Exploring Operation: 24/4=6, Resulting Numbers: [2, 6]
Generated Node #0,0,1: 66:[2, 6] Operation: 24/4=6
Exploring Operation: 2+4=6, Resulting Numbers: [24, 6]
Generated Node #0,0,2: 66:[24, 6] Operation: 2+4=6
Exploring Operation: 4-2=2, Resulting Numbers: [24, 2]
Generated Node #0,0,3: 66:[24, 2] Operation: 4-2=2
Start Sub Search at level 2: Moving to Node #0,0,1
Current State: 66:[2, 6], Operations: ['19+5=24', '24/4=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,66 unequal: No Solution
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,66 unequal: No Solution
No 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: 66:[4, 22], Operations: ['19+5=24', '24-2=22']
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,66 unequal: No Solution
No 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: 66:[24, 6], Operations: ['19+5=24', '2+4=6']
Exploring Operation: 24+6=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 24/6=4, Resulting Numbers: [4]
4,66 unequal: No Solution
Exploring Operation: 24-6=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 24*6=144, Resulting Numbers: [144]
144,66 unequal: No Solution
No 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: 66:[24, 2], Operations: ['19+5=24', '4-2=2']
Exploring Operation: 24*2=48, Resulting Numbers: [48]
48,66 unequal: No Solution
Exploring Operation: 24/2=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 24-2=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 24+2=26, Resulting Numbers: [26]
26,66 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: 66:[5, 4, 21], Operations: ['2+19=21']
Exploring Operation: 5*4=20, Resulting Numbers: [21, 20]
Generated Node #0,3,0: 66:[21, 20] Operation: 5*4=20
Exploring Operation: 5-4=1, Resulting Numbers: [21, 1]
Generated Node #0,3,1: 66:[21, 1] Operation: 5-4=1
Exploring Operation: 5+4=9, Resulting Numbers: [21, 9]
Generated Node #0,3,2: 66:[21, 9] Operation: 5+4=9
Exploring Operation: 4+21=25, Resulting Numbers: [5, 25]
Generated Node #0,3,3: 66:[5, 25] Operation: 4+21=25
Start Sub Search at level 2: Moving to Node #0,3,1
Current State: 66:[21, 1], Operations: ['2+19=21', '5-4=1']
Exploring Operation: 21-1=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 21+1=22, Resulting Numbers: [22]
22,66 unequal: No Solution
Exploring Operation: 21/1=21, Resulting Numbers: [21]
21,66 unequal: No Solution
Exploring Operation: 21*1=21, Resulting Numbers: [21]
21,66 unequal: No Solution
No 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: 66:[21, 20], Operations: ['2+19=21', '5*4=20']
Exploring Operation: 21+20=41, Resulting Numbers: [41]
41,66 unequal: No Solution
Exploring Operation: 21*20=420, Resulting Numbers: [420]
420,66 unequal: No Solution
Exploring Operation: 21-20=1, Resulting Numbers: [1]
1,66 unequal: No Solution
No 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: 66:[21, 9], Operations: ['2+19=21', '5+4=9']
Exploring Operation: 21+9=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 21-9=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 21*9=189, Resulting Numbers: [189]
189,66 unequal: No Solution
No 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: 66:[5, 25], Operations: ['2+19=21', '4+21=25']
Exploring Operation: 5*25=125, Resulting Numbers: [125]
125,66 unequal: No Solution
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,66 unequal: No Solution
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,66 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: 66:[19, 4, 3], Operations: ['5-2=3']
Exploring Operation: 4+3=7, Resulting Numbers: [19, 7]
Generated Node #0,2,0: 66:[19, 7] Operation: 4+3=7
Exploring Operation: 19+4=23, Resulting Numbers: [3, 23]
Generated Node #0,2,1: 66:[3, 23] Operation: 19+4=23
Exploring Operation: 19-4=15, Resulting Numbers: [3, 15]
Generated Node #0,2,2: 66:[3, 15] Operation: 19-4=15
Exploring Operation: 19+3=22, Resulting Numbers: [4, 22]
Generated Node #0,2,3: 66:[4, 22] Operation: 19+3=22
Moving to Node #0,2,1
Current State: 66:[3, 23], Operations: ['5-2=3', '19+4=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,66 unequal: No Solution
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,66 unequal: No Solution
Moving to Node #0,2,3
Current State: 66:[4, 22], Operations: ['5-2=3', '19+3=22']
Exploring Operation: 4*22=88, Resulting Numbers: [88]
88,66 unequal: No Solution
Exploring Operation: 22-4=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Exploring Operation: 4+22=26, Resulting Numbers: [26]
26,66 unequal: No Solution
Moving to Node #0,2,2
Current State: 66:[3, 15], Operations: ['5-2=3', '19-4=15']
Exploring Operation: 3*15=45, Resulting Numbers: [45]
45,66 unequal: No Solution
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,66 unequal: No Solution
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 3+15=18, Resulting Numbers: [18]
18,66 unequal: No Solution
Moving to Node #0,2,0
Current State: 66:[19, 7], Operations: ['5-2=3', '4+3=7']
Exploring Operation: 19-7=12, Resulting Numbers: [12]
12,66 unequal: No Solution
Exploring Operation: 19*7=133, Resulting Numbers: [133]
133,66 unequal: No Solution
Exploring Operation: 19+7=26, Resulting Numbers: [26]
26,66 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
No solution found.
| 0
|
hs_4
|
mult_heuristic
|
[
80,
51,
60,
68
] | 56
|
[
"80-68=12",
"60/12=5",
"51+5=56"
] |
Current State: 56:[80, 51, 60, 68], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [51, 60, 12]
Generated Node #2: [51, 60, 12] from Operation: 80-68=12
Current State: 56:[51, 60, 12], Operations: ['80-68=12']
Exploring Operation: 60/12=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 60/12=5
Current State: 56:[51, 5], Operations: ['80-68=12', '60/12=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4
|
Current State: 56:[80, 51, 60, 68], Operations: []
Exploring Operation: 80-60=20, Resulting Numbers: [51, 68, 20]
Generated Node #0,0: 56:[51, 68, 20] Operation: 80-60=20
Exploring Operation: 80-68=12, Resulting Numbers: [51, 60, 12]
Generated Node #0,1: 56:[51, 60, 12] Operation: 80-68=12
Exploring Operation: 80-51=29, Resulting Numbers: [60, 68, 29]
Generated Node #0,2: 56:[60, 68, 29] Operation: 80-51=29
Moving to Node #0,1
Current State: 56:[51, 60, 12], Operations: ['80-68=12']
Exploring Operation: 51+12=63, Resulting Numbers: [60, 63]
Generated Node #0,1,0: 56:[60, 63] Operation: 51+12=63
Exploring Operation: 60-51=9, Resulting Numbers: [12, 9]
Generated Node #0,1,1: 56:[12, 9] Operation: 60-51=9
Exploring Operation: 60/12=5, Resulting Numbers: [51, 5]
Generated Node #0,1,2: 56:[51, 5] Operation: 60/12=5
Moving to Node #0,2
Current State: 56:[60, 68, 29], Operations: ['80-51=29']
Exploring Operation: 68-29=39, Resulting Numbers: [60, 39]
Generated Node #0,2,0: 56:[60, 39] Operation: 68-29=39
Exploring Operation: 68-60=8, Resulting Numbers: [29, 8]
Generated Node #0,2,1: 56:[29, 8] Operation: 68-60=8
Exploring Operation: 60-29=31, Resulting Numbers: [68, 31]
Generated Node #0,2,2: 56:[68, 31] Operation: 60-29=31
Start Sub Search at level 1: Moving to Node #0,2,1
Current State: 56:[29, 8], Operations: ['80-51=29', '68-60=8']
Exploring Operation: 29-8=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 29*8=232, Resulting Numbers: [232]
232,56 unequal: No Solution
Exploring Operation: 29+8=37, Resulting Numbers: [37]
37,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,0
Current State: 56:[60, 39], Operations: ['80-51=29', '68-29=39']
Exploring Operation: 60*39=2340, Resulting Numbers: [2340]
2340,56 unequal: No Solution
Exploring Operation: 60+39=99, Resulting Numbers: [99]
99,56 unequal: No Solution
Exploring Operation: 60-39=21, Resulting Numbers: [21]
21,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,2,2
Current State: 56:[68, 31], Operations: ['80-51=29', '60-29=31']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 68*31=2108, Resulting Numbers: [2108]
2108,56 unequal: No Solution
Exploring Operation: 68+31=99, Resulting Numbers: [99]
99,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Moving to Node #0,0
Current State: 56:[51, 68, 20], Operations: ['80-60=20']
Exploring Operation: 51-20=31, Resulting Numbers: [68, 31]
Generated Node #0,0,0: 56:[68, 31] Operation: 51-20=31
Exploring Operation: 68-51=17, Resulting Numbers: [20, 17]
Generated Node #0,0,1: 56:[20, 17] Operation: 68-51=17
Exploring Operation: 68-20=48, Resulting Numbers: [51, 48]
Generated Node #0,0,2: 56:[51, 48] Operation: 68-20=48
Start Sub Search at level 1: Moving to Node #0,0,1
Current State: 56:[20, 17], Operations: ['80-60=20', '68-51=17']
Exploring Operation: 20*17=340, Resulting Numbers: [340]
340,56 unequal: No Solution
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,2
Current State: 56:[51, 48], Operations: ['80-60=20', '68-20=48']
Exploring Operation: 51-48=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 51+48=99, Resulting Numbers: [99]
99,56 unequal: No Solution
Exploring Operation: 51*48=2448, Resulting Numbers: [2448]
2448,56 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,0,0
Current State: 56:[68, 31], Operations: ['80-60=20', '51-20=31']
Exploring Operation: 68-31=37, Resulting Numbers: [37]
37,56 unequal: No Solution
Exploring Operation: 68+31=99, Resulting Numbers: [99]
99,56 unequal: No Solution
Exploring Operation: 68*31=2108, Resulting Numbers: [2108]
2108,56 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: 56:[12, 9], Operations: ['80-68=12', '60-51=9']
Exploring Operation: 12-9=3, Resulting Numbers: [3]
3,56 unequal: No Solution
Exploring Operation: 12+9=21, Resulting Numbers: [21]
21,56 unequal: No Solution
Exploring Operation: 12*9=108, Resulting Numbers: [108]
108,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[51, 5], Operations: ['80-68=12', '60/12=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,56 unequal: No Solution
Exploring Operation: 51*5=255, Resulting Numbers: [255]
255,56 unequal: No Solution
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
Moving to Node #0
Current State: 56:[80, 51, 60, 68], Operations: []
Exploring Operation: 80-68=12, Resulting Numbers: [51, 60, 12]
Generated Node #0,1: 56:[51, 60, 12] Operation: 80-68=12
Moving to Node #0,1
Current State: 56:[51, 60, 12], Operations: ['80-68=12']
Exploring Operation: 60/12=5, Resulting Numbers: [51, 5]
Generated Node #0,1,2: 56:[51, 5] Operation: 60/12=5
Moving to Node #0,1,2
Current State: 56:[51, 5], Operations: ['80-68=12', '60/12=5']
Exploring Operation: 51+5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 0.965278
|
hs_3
|
mult_heuristic
|
[
45,
45,
88,
5
] | 84
|
[
"45/45=1",
"88-5=83",
"1+83=84"
] |
Current State: 84:[45, 45, 88, 5], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [88, 5, 1]
Generated Node #2: [88, 5, 1] from Operation: 45/45=1
Current State: 84:[88, 5, 1], Operations: ['45/45=1']
Exploring Operation: 88-5=83, Resulting Numbers: [1, 83]
Generated Node #3: [1, 83] from Operation: 88-5=83
Current State: 84:[1, 83], Operations: ['45/45=1', '88-5=83']
Exploring Operation: 1+83=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4
|
Current State: 84:[45, 45, 88, 5], Operations: []
Exploring Operation: 88-45=43, Resulting Numbers: [45, 5, 43]
Generated Node #0,0: 84:[45, 5, 43] Operation: 88-45=43
Exploring Operation: 45/45=1, Resulting Numbers: [88, 5, 1]
Generated Node #0,1: 84:[88, 5, 1] Operation: 45/45=1
Exploring Operation: 45-45=0, Resulting Numbers: [88, 5, 0]
Generated Node #0,2: 84:[88, 5, 0] Operation: 45-45=0
Exploring Operation: 88-45=43, Resulting Numbers: [45, 5, 43]
Generated Node #0,3: 84:[45, 5, 43] Operation: 88-45=43
Moving to Node #0,0
Current State: 84:[45, 5, 43], Operations: ['88-45=43']
Exploring Operation: 45-43=2, Resulting Numbers: [5, 2]
Generated Node #0,0,0: 84:[5, 2] Operation: 45-43=2
Exploring Operation: 45/5=9, Resulting Numbers: [43, 9]
Generated Node #0,0,1: 84:[43, 9] Operation: 45/5=9
Exploring Operation: 45+43=88, Resulting Numbers: [5, 88]
Generated Node #0,0,2: 84:[5, 88] Operation: 45+43=88
Exploring Operation: 45-5=40, Resulting Numbers: [43, 40]
Generated Node #0,0,3: 84:[43, 40] Operation: 45-5=40
Moving to Node #0,3
Current State: 84:[45, 5, 43], Operations: ['88-45=43']
Exploring Operation: 45+43=88, Resulting Numbers: [5, 88]
Generated Node #0,3,0: 84:[5, 88] Operation: 45+43=88
Exploring Operation: 45/5=9, Resulting Numbers: [43, 9]
Generated Node #0,3,1: 84:[43, 9] Operation: 45/5=9
Exploring Operation: 45-43=2, Resulting Numbers: [5, 2]
Generated Node #0,3,2: 84:[5, 2] Operation: 45-43=2
Exploring Operation: 45-5=40, Resulting Numbers: [43, 40]
Generated Node #0,3,3: 84:[43, 40] Operation: 45-5=40
Start Sub Search at level 1: Moving to Node #0,3,2
Current State: 84:[5, 2], Operations: ['88-45=43', '45-43=2']
Exploring Operation: 5*2=10, Resulting Numbers: [10]
10,84 unequal: No Solution
Exploring Operation: 5+2=7, Resulting Numbers: [7]
7,84 unequal: No Solution
Exploring Operation: 5-2=3, Resulting Numbers: [3]
3,84 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:[43, 9], Operations: ['88-45=43', '45/5=9']
Exploring Operation: 43*9=387, Resulting Numbers: [387]
387,84 unequal: No Solution
Exploring Operation: 43+9=52, Resulting Numbers: [52]
52,84 unequal: No Solution
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,84 unequal: No Solution
No solution found.
Exit Sub Search at level 1
No solution found in sub search
Start Sub Search at level 1: Moving to Node #0,3,3
Current State: 84:[43, 40], Operations: ['88-45=43', '45-5=40']
Exploring Operation: 43+40=83, Resulting Numbers: [83]
83,84 unequal: No Solution
Exploring Operation: 43-40=3, Resulting Numbers: [3]
3,84 unequal: No Solution
Exploring Operation: 43*40=1720, Resulting Numbers: [1720]
1720,84 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:[5, 88], Operations: ['88-45=43', '45+43=88']
Exploring Operation: 88-5=83, Resulting Numbers: [83]
83,84 unequal: No Solution
Exploring Operation: 5+88=93, Resulting Numbers: [93]
93,84 unequal: No Solution
Exploring Operation: 5*88=440, Resulting Numbers: [440]
440,84 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: 84:[88, 5, 1], Operations: ['45/45=1']
Exploring Operation: 5-1=4, Resulting Numbers: [88, 4]
Generated Node #0,1,0: 84:[88, 4] Operation: 5-1=4
Exploring Operation: 88-5=83, Resulting Numbers: [1, 83]
Generated Node #0,1,1: 84:[1, 83] Operation: 88-5=83
Exploring Operation: 5+1=6, Resulting Numbers: [88, 6]
Generated Node #0,1,2: 84:[88, 6] Operation: 5+1=6
Exploring Operation: 88-1=87, Resulting Numbers: [5, 87]
Generated Node #0,1,3: 84:[5, 87] Operation: 88-1=87
Start Sub Search at level 1: Moving to Node #0,1,1
Current State: 84:[1, 83], Operations: ['45/45=1', '88-5=83']
Exploring Operation: 83-1=82, Resulting Numbers: [82]
82,84 unequal: No Solution
Exploring Operation: 1+83=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Moving to Node #0
Current State: 84:[45, 45, 88, 5], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [88, 5, 1]
Generated Node #0,1: 84:[88, 5, 1] Operation: 45/45=1
Moving to Node #0,1
Current State: 84:[88, 5, 1], Operations: ['45/45=1']
Exploring Operation: 88-5=83, Resulting Numbers: [1, 83]
Generated Node #0,1,1: 84:[1, 83] Operation: 88-5=83
Moving to Node #0,1,1
Current State: 84:[1, 83], Operations: ['45/45=1', '88-5=83']
Exploring Operation: 1+83=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
Exit Sub Search at level 1
| 0.970486
|
hs_4
|
sum_heuristic
|
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