nums
sequencelengths 4
4
| target
int64 10
100
| solution
sequencelengths 3
3
| search_path
stringlengths 47
165k
| rating
float64 0
1
| search_type
stringclasses 6
values | optimal_path
stringlengths 284
529
| heuristic
stringclasses 2
values |
|---|---|---|---|---|---|---|---|
[
54,
2,
51,
61
] | 17 | [
"54/2=27",
"61-51=10",
"27-10=17"
] | Current State: 17:[54, 2, 51, 61], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [2, 61, 3]
Generated Node #0,0: 17:[2, 61, 3] Operation: 54-51=3
Exploring Operation: 61-51=10, Resulting Numbers: [54, 2, 10]
Generated Node #0,1: 17:[54, 2, 10] Operation: 61-51=10
Exploring Operation: 61-54=7, Resulting Numbers: [2, 51, 7]
Generated Node #0,2: 17:[2, 51, 7] Operation: 61-54=7
Moving to Node #0,1
Current State: 17:[54, 2, 10], Operations: ['61-51=10']
Exploring Operation: 54-2=52, Resulting Numbers: [10, 52]
Generated Node #0,1,0: 17:[10, 52] Operation: 54-2=52
Exploring Operation: 54/2=27, Resulting Numbers: [10, 27]
Generated Node #0,1,1: 17:[10, 27] Operation: 54/2=27
Exploring Operation: 2*10=20, Resulting Numbers: [54, 20]
Generated Node #0,1,2: 17:[54, 20] Operation: 2*10=20
Moving to Node #0,2
Current State: 17:[2, 51, 7], Operations: ['61-54=7']
Exploring Operation: 2+7=9, Resulting Numbers: [51, 9]
Generated Node #0,2,0: 17:[51, 9] Operation: 2+7=9
Exploring Operation: 2*7=14, Resulting Numbers: [51, 14]
Generated Node #0,2,1: 17:[51, 14] Operation: 2*7=14
Exploring Operation: 51-2=49, Resulting Numbers: [7, 49]
Generated Node #0,2,2: 17:[7, 49] Operation: 51-2=49
Moving to Node #0,0
Current State: 17:[2, 61, 3], Operations: ['54-51=3']
Exploring Operation: 2+3=5, Resulting Numbers: [61, 5]
Generated Node #0,0,0: 17:[61, 5] Operation: 2+3=5
Exploring Operation: 61-2=59, Resulting Numbers: [3, 59]
Generated Node #0,0,1: 17:[3, 59] Operation: 61-2=59
Exploring Operation: 2*3=6, Resulting Numbers: [61, 6]
Generated Node #0,0,2: 17:[61, 6] Operation: 2*3=6
Moving to Node #0,1,1
Current State: 17:[10, 27], Operations: ['61-51=10', '54/2=27']
Exploring Operation: 10*27=270, Resulting Numbers: [270]
270,17 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.986979 | bfs_3 | Current State: 17:[54, 2, 51, 61], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [51, 61, 27]
Generated Node #2: [51, 61, 27] from Operation: 54/2=27
Current State: 17:[51, 61, 27], Operations: ['54/2=27']
Exploring Operation: 61-51=10, Resulting Numbers: [27, 10]
Generated Node #3: [27, 10] from Operation: 61-51=10
Current State: 17:[27, 10], Operations: ['54/2=27', '61-51=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| mult_heuristic |
[
19,
62,
3,
11
] | 48 | [
"19+62=81",
"3*11=33",
"81-33=48"
] | Current State: 48:[19, 62, 3, 11], Operations: []
Exploring Operation: 3*11=33, Resulting Numbers: [19, 62, 33]
Generated Node #0,0: 48:[19, 62, 33] Operation: 3*11=33
Moving to Node #0,0
Current State: 48:[19, 62, 33], Operations: ['3*11=33']
Exploring Operation: 19+33=52, Resulting Numbers: [62, 52]
Generated Node #0,0,0: 48:[62, 52] Operation: 19+33=52
Moving to Node #0,0,0
Current State: 48:[62, 52], Operations: ['3*11=33', '19+33=52']
Exploring Operation: 62-52=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Moving to Node #0,0
Current State: 48:[19, 62, 33], Operations: ['3*11=33']
Exploring Operation: 62-19=43, Resulting Numbers: [33, 43]
Generated Node #0,0,1: 48:[33, 43] Operation: 62-19=43
Moving to Node #0,0,1
Current State: 48:[33, 43], Operations: ['3*11=33', '62-19=43']
Exploring Operation: 33+43=76, Resulting Numbers: [76]
76,48 unequal: No Solution
Moving to Node #0,0,1
Current State: 48:[33, 43], Operations: ['3*11=33', '62-19=43']
Exploring Operation: 43-33=10, Resulting Numbers: [10]
10,48 unequal: No Solution
Moving to Node #0,0
Current State: 48:[19, 62, 33], Operations: ['3*11=33']
Exploring Operation: 19+62=81, Resulting Numbers: [33, 81]
Generated Node #0,0,2: 48:[33, 81] Operation: 19+62=81
Moving to Node #0,0,2
Current State: 48:[33, 81], Operations: ['3*11=33', '19+62=81']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 0.992188 | dfs | Current State: 48:[19, 62, 3, 11], Operations: []
Exploring Operation: 19+62=81, Resulting Numbers: [3, 11, 81]
Generated Node #2: [3, 11, 81] from Operation: 19+62=81
Current State: 48:[3, 11, 81], Operations: ['19+62=81']
Exploring Operation: 3*11=33, Resulting Numbers: [81, 33]
Generated Node #3: [81, 33] from Operation: 3*11=33
Current State: 48:[81, 33], Operations: ['19+62=81', '3*11=33']
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| sum_heuristic |
[
18,
5,
55,
22
] | 29 | [
"18+22=40",
"55/5=11",
"40-11=29"
] | Current State: 29:[18, 5, 55, 22], Operations: []
Exploring Operation: 55/5=11, Resulting Numbers: [18, 22, 11]
Generated Node #0,0: 29:[18, 22, 11] Operation: 55/5=11
Exploring Operation: 18+5=23, Resulting Numbers: [55, 22, 23]
Generated Node #0,1: 29:[55, 22, 23] Operation: 18+5=23
Moving to Node #0,0
Current State: 29:[18, 22, 11], Operations: ['55/5=11']
Exploring Operation: 22+11=33, Resulting Numbers: [18, 33]
Generated Node #0,0,0: 29:[18, 33] Operation: 22+11=33
Exploring Operation: 18+11=29, Resulting Numbers: [22, 29]
Generated Node #0,0,1: 29:[22, 29] Operation: 18+11=29
Moving to Node #0,1
Current State: 29:[55, 22, 23], Operations: ['18+5=23']
Exploring Operation: 55-22=33, Resulting Numbers: [23, 33]
Generated Node #0,1,0: 29:[23, 33] Operation: 55-22=33
Exploring Operation: 55-23=32, Resulting Numbers: [22, 32]
Generated Node #0,1,1: 29:[22, 32] Operation: 55-23=32
Moving to Node #0,0,1
Current State: 29:[22, 29], Operations: ['55/5=11', '18+11=29']
Exploring Operation: 22+29=51, Resulting Numbers: [51]
51,29 unequal: No Solution
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[23, 33], Operations: ['18+5=23', '55-22=33']
Exploring Operation: 23+33=56, Resulting Numbers: [56]
56,29 unequal: No Solution
Exploring Operation: 33-23=10, Resulting Numbers: [10]
10,29 unequal: No Solution
Moving to Node #0,1,1
Current State: 29:[22, 32], Operations: ['18+5=23', '55-23=32']
Exploring Operation: 22+32=54, Resulting Numbers: [54]
54,29 unequal: No Solution
Exploring Operation: 32-22=10, Resulting Numbers: [10]
10,29 unequal: No Solution
Moving to Node #0,0,0
Current State: 29:[18, 33], Operations: ['55/5=11', '22+11=33']
Exploring Operation: 18+33=51, Resulting Numbers: [51]
51,29 unequal: No Solution
Exploring Operation: 33-18=15, Resulting Numbers: [15]
15,29 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 29:[15], Operations: ['55/5=11', '22+11=33', '33-18=15']
Moving to Node #0,1,0,0
Current State: 29:[10], Operations: ['18+5=23', '55-22=33', '33-23=10']
Moving to Node #0,1,1,0
Current State: 29:[10], Operations: ['18+5=23', '55-23=32', '32-22=10']
Moving to Node #0,0,1,0
Current State: 29:[51], Operations: ['55/5=11', '18+11=29', '22+29=51']
Moving to Node #0,0,1,0
Current State: 29:[7], Operations: ['55/5=11', '18+11=29', '29-22=7']
Moving to Node #0,0,0,0
Current State: 29:[51], Operations: ['55/5=11', '22+11=33', '18+33=51']
Moving to Node #0,1,1,0
Current State: 29:[54], Operations: ['18+5=23', '55-23=32', '22+32=54']
Moving to Node #0,1,0,0
Current State: 29:[56], Operations: ['18+5=23', '55-22=33', '23+33=56']
No solution found. | 0 | bfs_2 | Current State: 29:[18, 5, 55, 22], Operations: []
Exploring Operation: 18+22=40, Resulting Numbers: [5, 55, 40]
Generated Node #2: [5, 55, 40] from Operation: 18+22=40
Current State: 29:[5, 55, 40], Operations: ['18+22=40']
Exploring Operation: 55/5=11, Resulting Numbers: [40, 11]
Generated Node #3: [40, 11] from Operation: 55/5=11
Current State: 29:[40, 11], Operations: ['18+22=40', '55/5=11']
Exploring Operation: 40-11=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| sum_heuristic |
[
7,
69,
80,
62
] | 79 | [
"69-7=62",
"62/62=1",
"80-1=79"
] | Current State: 79:[7, 69, 80, 62], Operations: []
Exploring Operation: 7+69=76, Resulting Numbers: [80, 62, 76]
Generated Node #0,0: 79:[80, 62, 76] Operation: 7+69=76
Moving to Node #0,0
Current State: 79:[80, 62, 76], Operations: ['7+69=76']
Exploring Operation: 62+76=138, Resulting Numbers: [80, 138]
Generated Node #0,0,0: 79:[80, 138] Operation: 62+76=138
Moving to Node #0,0,0
Current State: 79:[80, 138], Operations: ['7+69=76', '62+76=138']
Exploring Operation: 138-80=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[80, 62, 76], Operations: ['7+69=76']
Exploring Operation: 80-62=18, Resulting Numbers: [76, 18]
Generated Node #0,0,1: 79:[76, 18] Operation: 80-62=18
Moving to Node #0,0,1
Current State: 79:[76, 18], Operations: ['7+69=76', '80-62=18']
Exploring Operation: 76+18=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[76, 18], Operations: ['7+69=76', '80-62=18']
Exploring Operation: 76-18=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[80, 62, 76], Operations: ['7+69=76']
Exploring Operation: 80+62=142, Resulting Numbers: [76, 142]
Generated Node #0,0,2: 79:[76, 142] Operation: 80+62=142
Moving to Node #0,0,2
Current State: 79:[76, 142], Operations: ['7+69=76', '80+62=142']
Exploring Operation: 142-76=66, Resulting Numbers: [66]
66,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[80, 62, 76], Operations: ['7+69=76']
Exploring Operation: 76-62=14, Resulting Numbers: [80, 14]
Generated Node #0,0,3: 79:[80, 14] Operation: 76-62=14
Moving to Node #0,0,3
Current State: 79:[80, 14], Operations: ['7+69=76', '76-62=14']
Exploring Operation: 80-14=66, Resulting Numbers: [66]
66,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[80, 14], Operations: ['7+69=76', '76-62=14']
Exploring Operation: 80+14=94, Resulting Numbers: [94]
94,79 unequal: No Solution
Moving to Node #0
Current State: 79:[7, 69, 80, 62], Operations: []
Exploring Operation: 7+62=69, Resulting Numbers: [69, 80, 69]
Generated Node #0,1: 79:[69, 80, 69] Operation: 7+62=69
Moving to Node #0,1
Current State: 79:[69, 80, 69], Operations: ['7+62=69']
Exploring Operation: 69+69=138, Resulting Numbers: [80, 138]
Generated Node #0,1,0: 79:[80, 138] Operation: 69+69=138
Moving to Node #0,1,0
Current State: 79:[80, 138], Operations: ['7+62=69', '69+69=138']
Exploring Operation: 138-80=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Moving to Node #0,1
Current State: 79:[69, 80, 69], Operations: ['7+62=69']
Exploring Operation: 80-69=11, Resulting Numbers: [69, 11]
Generated Node #0,1,1: 79:[69, 11] Operation: 80-69=11
Moving to Node #0,1,1
Current State: 79:[69, 11], Operations: ['7+62=69', '80-69=11']
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[69, 11], Operations: ['7+62=69', '80-69=11']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Moving to Node #0,1
Current State: 79:[69, 80, 69], Operations: ['7+62=69']
Exploring Operation: 80-69=11, Resulting Numbers: [69, 11]
Generated Node #0,1,2: 79:[69, 11] Operation: 80-69=11
Moving to Node #0,1,2
Current State: 79:[69, 11], Operations: ['7+62=69', '80-69=11']
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[69, 11], Operations: ['7+62=69', '80-69=11']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,79 unequal: No Solution
Moving to Node #0,1
Current State: 79:[69, 80, 69], Operations: ['7+62=69']
Exploring Operation: 69/69=1, Resulting Numbers: [80, 1]
Generated Node #0,1,3: 79:[80, 1] Operation: 69/69=1
Moving to Node #0,1,3
Current State: 79:[80, 1], Operations: ['7+62=69', '69/69=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 0.980035 | dfs | Current State: 79:[7, 69, 80, 62], Operations: []
Exploring Operation: 69-7=62, Resulting Numbers: [80, 62, 62]
Generated Node #2: [80, 62, 62] from Operation: 69-7=62
Current State: 79:[80, 62, 62], Operations: ['69-7=62']
Exploring Operation: 62/62=1, Resulting Numbers: [80, 1]
Generated Node #3: [80, 1] from Operation: 62/62=1
Current State: 79:[80, 1], Operations: ['69-7=62', '62/62=1']
Exploring Operation: 80-1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| mult_heuristic |
[
9,
80,
11,
3
] | 75 | [
"9+80=89",
"11+3=14",
"89-14=75"
] | Current State: 75:[9, 80, 11, 3], Operations: []
Exploring Operation: 11-9=2, Resulting Numbers: [80, 3, 2]
Generated Node #0,0: 75:[80, 3, 2] Operation: 11-9=2
Moving to Node #0,0
Current State: 75:[80, 3, 2], Operations: ['11-9=2']
Exploring Operation: 80-3=77, Resulting Numbers: [2, 77]
Generated Node #0,0,0: 75:[2, 77] Operation: 80-3=77
Moving to Node #0,0,0
Current State: 75:[2, 77], Operations: ['11-9=2', '80-3=77']
Exploring Operation: 77-2=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.996528 | dfs | Current State: 75:[9, 80, 11, 3], Operations: []
Exploring Operation: 9+80=89, Resulting Numbers: [11, 3, 89]
Generated Node #2: [11, 3, 89] from Operation: 9+80=89
Current State: 75:[11, 3, 89], Operations: ['9+80=89']
Exploring Operation: 11+3=14, Resulting Numbers: [89, 14]
Generated Node #3: [89, 14] from Operation: 11+3=14
Current State: 75:[89, 14], Operations: ['9+80=89', '11+3=14']
Exploring Operation: 89-14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| mult_heuristic |
[
28,
68,
79,
92
] | 75 | [
"28+68=96",
"79+92=171",
"171-96=75"
] | Current State: 75:[28, 68, 79, 92], Operations: []
Exploring Operation: 28+68=96, Resulting Numbers: [79, 92, 96]
Generated Node #0,0: 75:[79, 92, 96] Operation: 28+68=96
Exploring Operation: 92-28=64, Resulting Numbers: [68, 79, 64]
Generated Node #0,1: 75:[68, 79, 64] Operation: 92-28=64
Exploring Operation: 79-28=51, Resulting Numbers: [68, 92, 51]
Generated Node #0,2: 75:[68, 92, 51] Operation: 79-28=51
Moving to Node #0,1
Current State: 75:[68, 79, 64], Operations: ['92-28=64']
Exploring Operation: 68+64=132, Resulting Numbers: [79, 132]
Generated Node #0,1,0: 75:[79, 132] Operation: 68+64=132
Exploring Operation: 79-64=15, Resulting Numbers: [68, 15]
Generated Node #0,1,1: 75:[68, 15] Operation: 79-64=15
Exploring Operation: 79-68=11, Resulting Numbers: [64, 11]
Generated Node #0,1,2: 75:[64, 11] Operation: 79-68=11
Moving to Node #0,0
Current State: 75:[79, 92, 96], Operations: ['28+68=96']
Exploring Operation: 96-92=4, Resulting Numbers: [79, 4]
Generated Node #0,0,0: 75:[79, 4] Operation: 96-92=4
Exploring Operation: 92-79=13, Resulting Numbers: [96, 13]
Generated Node #0,0,1: 75:[96, 13] Operation: 92-79=13
Exploring Operation: 96-79=17, Resulting Numbers: [92, 17]
Generated Node #0,0,2: 75:[92, 17] Operation: 96-79=17
Moving to Node #0,2
Current State: 75:[68, 92, 51], Operations: ['79-28=51']
Exploring Operation: 68+51=119, Resulting Numbers: [92, 119]
Generated Node #0,2,0: 75:[92, 119] Operation: 68+51=119
Exploring Operation: 92-51=41, Resulting Numbers: [68, 41]
Generated Node #0,2,1: 75:[68, 41] Operation: 92-51=41
Exploring Operation: 92-68=24, Resulting Numbers: [51, 24]
Generated Node #0,2,2: 75:[51, 24] Operation: 92-68=24
Moving to Node #0,2,1
Current State: 75:[68, 41], Operations: ['79-28=51', '92-51=41']
Exploring Operation: 68-41=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 68+41=109, Resulting Numbers: [109]
109,75 unequal: No Solution
Exploring Operation: 68*41=2788, Resulting Numbers: [2788]
2788,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[79, 132], Operations: ['92-28=64', '68+64=132']
Exploring Operation: 79+132=211, Resulting Numbers: [211]
211,75 unequal: No Solution
Exploring Operation: 132-79=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 79*132=10428, Resulting Numbers: [10428]
10428,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[92, 119], Operations: ['79-28=51', '68+51=119']
Exploring Operation: 119-92=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Exploring Operation: 92*119=10948, Resulting Numbers: [10948]
10948,75 unequal: No Solution
Exploring Operation: 92+119=211, Resulting Numbers: [211]
211,75 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 75:[53], Operations: ['92-28=64', '68+64=132', '132-79=53']
Moving to Node #0,1,1
Current State: 75:[68, 15], Operations: ['92-28=64', '79-64=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,75 unequal: No Solution
Exploring Operation: 68-15=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Exploring Operation: 68*15=1020, Resulting Numbers: [1020]
1020,75 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 75:[109], Operations: ['79-28=51', '92-51=41', '68+41=109']
Moving to Node #0,1,1,0
Current State: 75:[83], Operations: ['92-28=64', '79-64=15', '68+15=83']
Moving to Node #0,1,1,0
Current State: 75:[53], Operations: ['92-28=64', '79-64=15', '68-15=53']
Moving to Node #0,1,2
Current State: 75:[64, 11], Operations: ['92-28=64', '79-68=11']
Exploring Operation: 64+11=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.977431 | bfs_3 | Current State: 75:[28, 68, 79, 92], Operations: []
Exploring Operation: 28+68=96, Resulting Numbers: [79, 92, 96]
Generated Node #2: [79, 92, 96] from Operation: 28+68=96
Current State: 75:[79, 92, 96], Operations: ['28+68=96']
Exploring Operation: 79+92=171, Resulting Numbers: [96, 171]
Generated Node #3: [96, 171] from Operation: 79+92=171
Current State: 75:[96, 171], Operations: ['28+68=96', '79+92=171']
Exploring Operation: 171-96=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| sum_heuristic |
[
30,
28,
44,
86
] | 20 | [
"30*28=840",
"86-44=42",
"840/42=20"
] | Current State: 20:[30, 28, 44, 86], Operations: []
Exploring Operation: 86-44=42, Resulting Numbers: [30, 28, 42]
Generated Node #0,0: 20:[30, 28, 42] Operation: 86-44=42
Moving to Node #0,0
Current State: 20:[30, 28, 42], Operations: ['86-44=42']
Exploring Operation: 42-30=12, Resulting Numbers: [28, 12]
Generated Node #0,0,0: 20:[28, 12] Operation: 42-30=12
Moving to Node #0,0,0
Current State: 20:[28, 12], Operations: ['86-44=42', '42-30=12']
Exploring Operation: 28-12=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Moving to Node #0,0,0
Current State: 20:[28, 12], Operations: ['86-44=42', '42-30=12']
Exploring Operation: 28+12=40, Resulting Numbers: [40]
40,20 unequal: No Solution
Moving to Node #0,0
Current State: 20:[30, 28, 42], Operations: ['86-44=42']
Exploring Operation: 42-28=14, Resulting Numbers: [30, 14]
Generated Node #0,0,1: 20:[30, 14] Operation: 42-28=14
Moving to Node #0,0,1
Current State: 20:[30, 14], Operations: ['86-44=42', '42-28=14']
Exploring Operation: 30-14=16, Resulting Numbers: [16]
16,20 unequal: No Solution
Moving to Node #0,0
Current State: 20:[30, 28, 42], Operations: ['86-44=42']
Exploring Operation: 30-28=2, Resulting Numbers: [42, 2]
Generated Node #0,0,2: 20:[42, 2] Operation: 30-28=2
Moving to Node #0,0,2
Current State: 20:[42, 2], Operations: ['86-44=42', '30-28=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,20 unequal: No Solution
Moving to Node #0,0,2
Current State: 20:[42, 2], Operations: ['86-44=42', '30-28=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,20 unequal: No Solution
| 0 | dfs | Current State: 20:[30, 28, 44, 86], Operations: []
Exploring Operation: 30*28=840, Resulting Numbers: [44, 86, 840]
Generated Node #2: [44, 86, 840] from Operation: 30*28=840
Current State: 20:[44, 86, 840], Operations: ['30*28=840']
Exploring Operation: 86-44=42, Resulting Numbers: [840, 42]
Generated Node #3: [840, 42] from Operation: 86-44=42
Current State: 20:[840, 42], Operations: ['30*28=840', '86-44=42']
Exploring Operation: 840/42=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| sum_heuristic |
[
49,
64,
99,
7
] | 77 | [
"64-49=15",
"99-7=92",
"92-15=77"
] | Current State: 77:[49, 64, 99, 7], Operations: []
Exploring Operation: 49/7=7, Resulting Numbers: [64, 99, 7]
Generated Node #0,0: 77:[64, 99, 7] Operation: 49/7=7
Exploring Operation: 99-49=50, Resulting Numbers: [64, 7, 50]
Generated Node #0,1: 77:[64, 7, 50] Operation: 99-49=50
Exploring Operation: 64-49=15, Resulting Numbers: [99, 7, 15]
Generated Node #0,2: 77:[99, 7, 15] Operation: 64-49=15
Exploring Operation: 99-64=35, Resulting Numbers: [49, 7, 35]
Generated Node #0,3: 77:[49, 7, 35] Operation: 99-64=35
Moving to Node #0,2
Current State: 77:[99, 7, 15], Operations: ['64-49=15']
Exploring Operation: 99+7=106, Resulting Numbers: [15, 106]
Generated Node #0,2,0: 77:[15, 106] Operation: 99+7=106
Exploring Operation: 99-7=92, Resulting Numbers: [15, 92]
Generated Node #0,2,1: 77:[15, 92] Operation: 99-7=92
Exploring Operation: 15-7=8, Resulting Numbers: [99, 8]
Generated Node #0,2,2: 77:[99, 8] Operation: 15-7=8
Exploring Operation: 99-15=84, Resulting Numbers: [7, 84]
Generated Node #0,2,3: 77:[7, 84] Operation: 99-15=84
Moving to Node #0,0
Current State: 77:[64, 99, 7], Operations: ['49/7=7']
Exploring Operation: 99-64=35, Resulting Numbers: [7, 35]
Generated Node #0,0,0: 77:[7, 35] Operation: 99-64=35
Exploring Operation: 64-7=57, Resulting Numbers: [99, 57]
Generated Node #0,0,1: 77:[99, 57] Operation: 64-7=57
Exploring Operation: 99-7=92, Resulting Numbers: [64, 92]
Generated Node #0,0,2: 77:[64, 92] Operation: 99-7=92
Exploring Operation: 64+7=71, Resulting Numbers: [99, 71]
Generated Node #0,0,3: 77:[99, 71] Operation: 64+7=71
Moving to Node #0,1
Current State: 77:[64, 7, 50], Operations: ['99-49=50']
Exploring Operation: 7+50=57, Resulting Numbers: [64, 57]
Generated Node #0,1,0: 77:[64, 57] Operation: 7+50=57
Exploring Operation: 64+7=71, Resulting Numbers: [50, 71]
Generated Node #0,1,1: 77:[50, 71] Operation: 64+7=71
Exploring Operation: 64+50=114, Resulting Numbers: [7, 114]
Generated Node #0,1,2: 77:[7, 114] Operation: 64+50=114
Exploring Operation: 64-50=14, Resulting Numbers: [7, 14]
Generated Node #0,1,3: 77:[7, 14] Operation: 64-50=14
Moving to Node #0,3
Current State: 77:[49, 7, 35], Operations: ['99-64=35']
Exploring Operation: 49/7=7, Resulting Numbers: [35, 7]
Generated Node #0,3,0: 77:[35, 7] Operation: 49/7=7
Exploring Operation: 35/7=5, Resulting Numbers: [49, 5]
Generated Node #0,3,1: 77:[49, 5] Operation: 35/7=5
Exploring Operation: 49-35=14, Resulting Numbers: [7, 14]
Generated Node #0,3,2: 77:[7, 14] Operation: 49-35=14
Exploring Operation: 49+35=84, Resulting Numbers: [7, 84]
Generated Node #0,3,3: 77:[7, 84] Operation: 49+35=84
Moving to Node #0,1,3
Current State: 77:[7, 14], Operations: ['99-49=50', '64-50=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Moving to Node #0,3,2
Current State: 77:[7, 14], Operations: ['99-64=35', '49-35=14']
Exploring Operation: 7*14=98, Resulting Numbers: [98]
98,77 unequal: No Solution
Exploring Operation: 7+14=21, Resulting Numbers: [21]
21,77 unequal: No Solution
Exploring Operation: 14/7=2, Resulting Numbers: [2]
2,77 unequal: No Solution
Exploring Operation: 14-7=7, Resulting Numbers: [7]
7,77 unequal: No Solution
Moving to Node #0,3,3
Current State: 77:[7, 84], Operations: ['99-64=35', '49+35=84']
Exploring Operation: 84-7=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 0.973958 | bfs_4 | Current State: 77:[49, 64, 99, 7], Operations: []
Exploring Operation: 64-49=15, Resulting Numbers: [99, 7, 15]
Generated Node #2: [99, 7, 15] from Operation: 64-49=15
Current State: 77:[99, 7, 15], Operations: ['64-49=15']
Exploring Operation: 99-7=92, Resulting Numbers: [15, 92]
Generated Node #3: [15, 92] from Operation: 99-7=92
Current State: 77:[15, 92], Operations: ['64-49=15', '99-7=92']
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| mult_heuristic |
[
82,
44,
29,
95
] | 86 | [
"82-44=38",
"29+95=124",
"124-38=86"
] | Current State: 86:[82, 44, 29, 95], Operations: []
Exploring Operation: 95-29=66, Resulting Numbers: [82, 44, 66]
Generated Node #0,0: 86:[82, 44, 66] Operation: 95-29=66
Exploring Operation: 44+29=73, Resulting Numbers: [82, 95, 73]
Generated Node #0,1: 86:[82, 95, 73] Operation: 44+29=73
Exploring Operation: 82-29=53, Resulting Numbers: [44, 95, 53]
Generated Node #0,2: 86:[44, 95, 53] Operation: 82-29=53
Exploring Operation: 95-82=13, Resulting Numbers: [44, 29, 13]
Generated Node #0,3: 86:[44, 29, 13] Operation: 95-82=13
Moving to Node #0,2
Current State: 86:[44, 95, 53], Operations: ['82-29=53']
Exploring Operation: 44+53=97, Resulting Numbers: [95, 97]
Generated Node #0,2,0: 86:[95, 97] Operation: 44+53=97
Exploring Operation: 95-44=51, Resulting Numbers: [53, 51]
Generated Node #0,2,1: 86:[53, 51] Operation: 95-44=51
Exploring Operation: 95-53=42, Resulting Numbers: [44, 42]
Generated Node #0,2,2: 86:[44, 42] Operation: 95-53=42
Exploring Operation: 53-44=9, Resulting Numbers: [95, 9]
Generated Node #0,2,3: 86:[95, 9] Operation: 53-44=9
Moving to Node #0,0
Current State: 86:[82, 44, 66], Operations: ['95-29=66']
Exploring Operation: 44+66=110, Resulting Numbers: [82, 110]
Generated Node #0,0,0: 86:[82, 110] Operation: 44+66=110
Exploring Operation: 82-66=16, Resulting Numbers: [44, 16]
Generated Node #0,0,1: 86:[44, 16] Operation: 82-66=16
Exploring Operation: 66-44=22, Resulting Numbers: [82, 22]
Generated Node #0,0,2: 86:[82, 22] Operation: 66-44=22
Exploring Operation: 82-44=38, Resulting Numbers: [66, 38]
Generated Node #0,0,3: 86:[66, 38] Operation: 82-44=38
Moving to Node #0,3
Current State: 86:[44, 29, 13], Operations: ['95-82=13']
Exploring Operation: 29-13=16, Resulting Numbers: [44, 16]
Generated Node #0,3,0: 86:[44, 16] Operation: 29-13=16
Exploring Operation: 44-29=15, Resulting Numbers: [13, 15]
Generated Node #0,3,1: 86:[13, 15] Operation: 44-29=15
Exploring Operation: 29+13=42, Resulting Numbers: [44, 42]
Generated Node #0,3,2: 86:[44, 42] Operation: 29+13=42
Exploring Operation: 44+29=73, Resulting Numbers: [13, 73]
Generated Node #0,3,3: 86:[13, 73] Operation: 44+29=73
Moving to Node #0,1
Current State: 86:[82, 95, 73], Operations: ['44+29=73']
Exploring Operation: 95-82=13, Resulting Numbers: [73, 13]
Generated Node #0,1,0: 86:[73, 13] Operation: 95-82=13
Exploring Operation: 82+73=155, Resulting Numbers: [95, 155]
Generated Node #0,1,1: 86:[95, 155] Operation: 82+73=155
Exploring Operation: 95-73=22, Resulting Numbers: [82, 22]
Generated Node #0,1,2: 86:[82, 22] Operation: 95-73=22
Exploring Operation: 82-73=9, Resulting Numbers: [95, 9]
Generated Node #0,1,3: 86:[95, 9] Operation: 82-73=9
Moving to Node #0,2,2
Current State: 86:[44, 42], Operations: ['82-29=53', '95-53=42']
Exploring Operation: 44-42=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Exploring Operation: 44+42=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.980035 | bfs_4 | Current State: 86:[82, 44, 29, 95], Operations: []
Exploring Operation: 82-44=38, Resulting Numbers: [29, 95, 38]
Generated Node #2: [29, 95, 38] from Operation: 82-44=38
Current State: 86:[29, 95, 38], Operations: ['82-44=38']
Exploring Operation: 29+95=124, Resulting Numbers: [38, 124]
Generated Node #3: [38, 124] from Operation: 29+95=124
Current State: 86:[38, 124], Operations: ['82-44=38', '29+95=124']
Exploring Operation: 124-38=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| mult_heuristic |
[
70,
12,
88,
46
] | 52 | [
"70+12=82",
"88+46=134",
"134-82=52"
] | Current State: 52:[70, 12, 88, 46], Operations: []
Exploring Operation: 70-12=58, Resulting Numbers: [88, 46, 58]
Generated Node #0,0: 52:[88, 46, 58] Operation: 70-12=58
Exploring Operation: 12+46=58, Resulting Numbers: [70, 88, 58]
Generated Node #0,1: 52:[70, 88, 58] Operation: 12+46=58
Exploring Operation: 88-12=76, Resulting Numbers: [70, 46, 76]
Generated Node #0,2: 52:[70, 46, 76] Operation: 88-12=76
Moving to Node #0,0
Current State: 52:[88, 46, 58], Operations: ['70-12=58']
Exploring Operation: 88-46=42, Resulting Numbers: [58, 42]
Generated Node #0,0,0: 52:[58, 42] Operation: 88-46=42
Exploring Operation: 58-46=12, Resulting Numbers: [88, 12]
Generated Node #0,0,1: 52:[88, 12] Operation: 58-46=12
Exploring Operation: 88-58=30, Resulting Numbers: [46, 30]
Generated Node #0,0,2: 52:[46, 30] Operation: 88-58=30
Moving to Node #0,2
Current State: 52:[70, 46, 76], Operations: ['88-12=76']
Exploring Operation: 76-46=30, Resulting Numbers: [70, 30]
Generated Node #0,2,0: 52:[70, 30] Operation: 76-46=30
Exploring Operation: 70-46=24, Resulting Numbers: [76, 24]
Generated Node #0,2,1: 52:[76, 24] Operation: 70-46=24
Exploring Operation: 76-70=6, Resulting Numbers: [46, 6]
Generated Node #0,2,2: 52:[46, 6] Operation: 76-70=6
Moving to Node #0,1
Current State: 52:[70, 88, 58], Operations: ['12+46=58']
Exploring Operation: 70-58=12, Resulting Numbers: [88, 12]
Generated Node #0,1,0: 52:[88, 12] Operation: 70-58=12
Exploring Operation: 88-58=30, Resulting Numbers: [70, 30]
Generated Node #0,1,1: 52:[70, 30] Operation: 88-58=30
Exploring Operation: 88-70=18, Resulting Numbers: [58, 18]
Generated Node #0,1,2: 52:[58, 18] Operation: 88-70=18
Moving to Node #0,0,0
Current State: 52:[58, 42], Operations: ['70-12=58', '88-46=42']
Exploring Operation: 58*42=2436, Resulting Numbers: [2436]
2436,52 unequal: No Solution
Exploring Operation: 58-42=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 58+42=100, Resulting Numbers: [100]
100,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[46, 30], Operations: ['70-12=58', '88-58=30']
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,52 unequal: No Solution
Exploring Operation: 46*30=1380, Resulting Numbers: [1380]
1380,52 unequal: No Solution
Exploring Operation: 46+30=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[70, 30], Operations: ['12+46=58', '88-58=30']
Exploring Operation: 70+30=100, Resulting Numbers: [100]
100,52 unequal: No Solution
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 70*30=2100, Resulting Numbers: [2100]
2100,52 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 52:[40], Operations: ['12+46=58', '88-58=30', '70-30=40']
Moving to Node #0,2,0
Current State: 52:[70, 30], Operations: ['88-12=76', '76-46=30']
Exploring Operation: 70+30=100, Resulting Numbers: [100]
100,52 unequal: No Solution
Exploring Operation: 70-30=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 70*30=2100, Resulting Numbers: [2100]
2100,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[58, 18], Operations: ['12+46=58', '88-70=18']
Exploring Operation: 58-18=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 58+18=76, Resulting Numbers: [76]
76,52 unequal: No Solution
Exploring Operation: 58*18=1044, Resulting Numbers: [1044]
1044,52 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 52:[40], Operations: ['88-12=76', '76-46=30', '70-30=40']
Moving to Node #0,1,2,0
Current State: 52:[40], Operations: ['12+46=58', '88-70=18', '58-18=40']
Moving to Node #0,0,2,0
Current State: 52:[76], Operations: ['70-12=58', '88-58=30', '46+30=76']
Moving to Node #0,1,2,0
Current State: 52:[76], Operations: ['12+46=58', '88-70=18', '58+18=76']
Moving to Node #0,2,2
Current State: 52:[46, 6], Operations: ['88-12=76', '76-70=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,52 unequal: No Solution
Exploring Operation: 46*6=276, Resulting Numbers: [276]
276,52 unequal: No Solution
Exploring Operation: 46+6=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.97309 | bfs_3 | Current State: 52:[70, 12, 88, 46], Operations: []
Exploring Operation: 70+12=82, Resulting Numbers: [88, 46, 82]
Generated Node #2: [88, 46, 82] from Operation: 70+12=82
Current State: 52:[88, 46, 82], Operations: ['70+12=82']
Exploring Operation: 88+46=134, Resulting Numbers: [82, 134]
Generated Node #3: [82, 134] from Operation: 88+46=134
Current State: 52:[82, 134], Operations: ['70+12=82', '88+46=134']
Exploring Operation: 134-82=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| sum_heuristic |
[
73,
73,
98,
55
] | 42 | [
"73/73=1",
"98-55=43",
"43-1=42"
] | Current State: 42:[73, 73, 98, 55], Operations: []
Exploring Operation: 98-73=25, Resulting Numbers: [73, 55, 25]
Generated Node #0,0: 42:[73, 55, 25] Operation: 98-73=25
Exploring Operation: 98-55=43, Resulting Numbers: [73, 73, 43]
Generated Node #0,1: 42:[73, 73, 43] Operation: 98-55=43
Exploring Operation: 73/73=1, Resulting Numbers: [98, 55, 1]
Generated Node #0,2: 42:[98, 55, 1] Operation: 73/73=1
Exploring Operation: 98-73=25, Resulting Numbers: [73, 55, 25]
Generated Node #0,3: 42:[73, 55, 25] Operation: 98-73=25
Moving to Node #0,0
Current State: 42:[73, 55, 25], Operations: ['98-73=25']
Exploring Operation: 73-25=48, Resulting Numbers: [55, 48]
Generated Node #0,0,0: 42:[55, 48] Operation: 73-25=48
Exploring Operation: 55-25=30, Resulting Numbers: [73, 30]
Generated Node #0,0,1: 42:[73, 30] Operation: 55-25=30
Exploring Operation: 73-55=18, Resulting Numbers: [25, 18]
Generated Node #0,0,2: 42:[25, 18] Operation: 73-55=18
Exploring Operation: 73+25=98, Resulting Numbers: [55, 98]
Generated Node #0,0,3: 42:[55, 98] Operation: 73+25=98
Moving to Node #0,3
Current State: 42:[73, 55, 25], Operations: ['98-73=25']
Exploring Operation: 73-55=18, Resulting Numbers: [25, 18]
Generated Node #0,3,0: 42:[25, 18] Operation: 73-55=18
Exploring Operation: 73+25=98, Resulting Numbers: [55, 98]
Generated Node #0,3,1: 42:[55, 98] Operation: 73+25=98
Exploring Operation: 73-25=48, Resulting Numbers: [55, 48]
Generated Node #0,3,2: 42:[55, 48] Operation: 73-25=48
Exploring Operation: 55-25=30, Resulting Numbers: [73, 30]
Generated Node #0,3,3: 42:[73, 30] Operation: 55-25=30
Moving to Node #0,1
Current State: 42:[73, 73, 43], Operations: ['98-55=43']
Exploring Operation: 73-43=30, Resulting Numbers: [73, 30]
Generated Node #0,1,0: 42:[73, 30] Operation: 73-43=30
Exploring Operation: 73-43=30, Resulting Numbers: [73, 30]
Generated Node #0,1,1: 42:[73, 30] Operation: 73-43=30
Exploring Operation: 73-73=0, Resulting Numbers: [43, 0]
Generated Node #0,1,2: 42:[43, 0] Operation: 73-73=0
Exploring Operation: 73/73=1, Resulting Numbers: [43, 1]
Generated Node #0,1,3: 42:[43, 1] Operation: 73/73=1
Moving to Node #0,2
Current State: 42:[98, 55, 1], Operations: ['73/73=1']
Exploring Operation: 55-1=54, Resulting Numbers: [98, 54]
Generated Node #0,2,0: 42:[98, 54] Operation: 55-1=54
Exploring Operation: 98-1=97, Resulting Numbers: [55, 97]
Generated Node #0,2,1: 42:[55, 97] Operation: 98-1=97
Exploring Operation: 98*1=98, Resulting Numbers: [55, 98]
Generated Node #0,2,2: 42:[55, 98] Operation: 98*1=98
Exploring Operation: 98-55=43, Resulting Numbers: [1, 43]
Generated Node #0,2,3: 42:[1, 43] Operation: 98-55=43
Moving to Node #0,1,3
Current State: 42:[43, 1], Operations: ['98-55=43', '73/73=1']
Exploring Operation: 43*1=43, Resulting Numbers: [43]
43,42 unequal: No Solution
Exploring Operation: 43/1=43, Resulting Numbers: [43]
43,42 unequal: No Solution
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| 0.979167 | bfs_4 | Current State: 42:[73, 73, 98, 55], Operations: []
Exploring Operation: 73/73=1, Resulting Numbers: [98, 55, 1]
Generated Node #2: [98, 55, 1] from Operation: 73/73=1
Current State: 42:[98, 55, 1], Operations: ['73/73=1']
Exploring Operation: 98-55=43, Resulting Numbers: [1, 43]
Generated Node #3: [1, 43] from Operation: 98-55=43
Current State: 42:[1, 43], Operations: ['73/73=1', '98-55=43']
Exploring Operation: 43-1=42, Resulting Numbers: [42]
42,42 equal: Goal Reached
| mult_heuristic |
[
3,
26,
16,
7
] | 40 | [
"7-3=4",
"26-16=10",
"4*10=40"
] | Current State: 40:[3, 26, 16, 7], Operations: []
Exploring Operation: 26-16=10, Resulting Numbers: [3, 7, 10]
Generated Node #0,0: 40:[3, 7, 10] Operation: 26-16=10
Moving to Node #0,0
Current State: 40:[3, 7, 10], Operations: ['26-16=10']
Exploring Operation: 3+7=10, Resulting Numbers: [10, 10]
Generated Node #0,0,0: 40:[10, 10] Operation: 3+7=10
Moving to Node #0,0,0
Current State: 40:[10, 10], Operations: ['26-16=10', '3+7=10']
Exploring Operation: 10+10=20, Resulting Numbers: [20]
20,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[10, 10], Operations: ['26-16=10', '3+7=10']
Exploring Operation: 10/10=1, Resulting Numbers: [1]
1,40 unequal: No Solution
Moving to Node #0,0,0
Current State: 40:[10, 10], Operations: ['26-16=10', '3+7=10']
Exploring Operation: 10-10=0, Resulting Numbers: [0]
0,40 unequal: No Solution
Moving to Node #0,0
Current State: 40:[3, 7, 10], Operations: ['26-16=10']
Exploring Operation: 7-3=4, Resulting Numbers: [10, 4]
Generated Node #0,0,1: 40:[10, 4] Operation: 7-3=4
Moving to Node #0,0,1
Current State: 40:[10, 4], Operations: ['26-16=10', '7-3=4']
Exploring Operation: 10*4=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 0.993056 | dfs | Current State: 40:[3, 26, 16, 7], Operations: []
Exploring Operation: 7-3=4, Resulting Numbers: [26, 16, 4]
Generated Node #2: [26, 16, 4] from Operation: 7-3=4
Current State: 40:[26, 16, 4], Operations: ['7-3=4']
Exploring Operation: 26-16=10, Resulting Numbers: [4, 10]
Generated Node #3: [4, 10] from Operation: 26-16=10
Current State: 40:[4, 10], Operations: ['7-3=4', '26-16=10']
Exploring Operation: 4*10=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| mult_heuristic |
[
2,
66,
45,
72
] | 60 | [
"66/2=33",
"72-45=27",
"33+27=60"
] | Current State: 60:[2, 66, 45, 72], Operations: []
Exploring Operation: 72-45=27, Resulting Numbers: [2, 66, 27]
Generated Node #0,0: 60:[2, 66, 27] Operation: 72-45=27
Moving to Node #0,0
Current State: 60:[2, 66, 27], Operations: ['72-45=27']
Exploring Operation: 66/2=33, Resulting Numbers: [27, 33]
Generated Node #0,0,0: 60:[27, 33] Operation: 66/2=33
Moving to Node #0,0,0
Current State: 60:[27, 33], Operations: ['72-45=27', '66/2=33']
Exploring Operation: 27+33=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.996528 | dfs | Current State: 60:[2, 66, 45, 72], Operations: []
Exploring Operation: 66/2=33, Resulting Numbers: [45, 72, 33]
Generated Node #2: [45, 72, 33] from Operation: 66/2=33
Current State: 60:[45, 72, 33], Operations: ['66/2=33']
Exploring Operation: 72-45=27, Resulting Numbers: [33, 27]
Generated Node #3: [33, 27] from Operation: 72-45=27
Current State: 60:[33, 27], Operations: ['66/2=33', '72-45=27']
Exploring Operation: 33+27=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| mult_heuristic |
[
24,
33,
77,
96
] | 10 | [
"33-24=9",
"96-77=19",
"19-9=10"
] | Current State: 10:[24, 33, 77, 96], Operations: []
| 0 | dfs | Current State: 10:[24, 33, 77, 96], Operations: []
Exploring Operation: 33-24=9, Resulting Numbers: [77, 96, 9]
Generated Node #2: [77, 96, 9] from Operation: 33-24=9
Current State: 10:[77, 96, 9], Operations: ['33-24=9']
Exploring Operation: 96-77=19, Resulting Numbers: [9, 19]
Generated Node #3: [9, 19] from Operation: 96-77=19
Current State: 10:[9, 19], Operations: ['33-24=9', '96-77=19']
Exploring Operation: 19-9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| mult_heuristic |
[
4,
57,
62,
89
] | 21 | [
"62-57=5",
"89-5=84",
"84/4=21"
] | Current State: 21:[4, 57, 62, 89], Operations: []
| 0 | dfs | Current State: 21:[4, 57, 62, 89], Operations: []
Exploring Operation: 62-57=5, Resulting Numbers: [4, 89, 5]
Generated Node #2: [4, 89, 5] from Operation: 62-57=5
Current State: 21:[4, 89, 5], Operations: ['62-57=5']
Exploring Operation: 89-5=84, Resulting Numbers: [4, 84]
Generated Node #3: [4, 84] from Operation: 89-5=84
Current State: 21:[4, 84], Operations: ['62-57=5', '89-5=84']
Exploring Operation: 84/4=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| mult_heuristic |
[
62,
18,
16,
10
] | 35 | [
"18*16=288",
"62+288=350",
"350/10=35"
] | Current State: 35:[62, 18, 16, 10], Operations: []
Exploring Operation: 62-18=44, Resulting Numbers: [16, 10, 44]
Generated Node #0,0: 35:[16, 10, 44] Operation: 62-18=44
Exploring Operation: 18+10=28, Resulting Numbers: [62, 16, 28]
Generated Node #0,1: 35:[62, 16, 28] Operation: 18+10=28
Exploring Operation: 62-10=52, Resulting Numbers: [18, 16, 52]
Generated Node #0,2: 35:[18, 16, 52] Operation: 62-10=52
Exploring Operation: 62-16=46, Resulting Numbers: [18, 10, 46]
Generated Node #0,3: 35:[18, 10, 46] Operation: 62-16=46
Exploring Operation: 18+16=34, Resulting Numbers: [62, 10, 34]
Generated Node #0,4: 35:[62, 10, 34] Operation: 18+16=34
Moving to Node #0,0
Current State: 35:[16, 10, 44], Operations: ['62-18=44']
Exploring Operation: 16+10=26, Resulting Numbers: [44, 26]
Generated Node #0,0,0: 35:[44, 26] Operation: 16+10=26
Exploring Operation: 44-10=34, Resulting Numbers: [16, 34]
Generated Node #0,0,1: 35:[16, 34] Operation: 44-10=34
Exploring Operation: 10+44=54, Resulting Numbers: [16, 54]
Generated Node #0,0,2: 35:[16, 54] Operation: 10+44=54
Exploring Operation: 16-10=6, Resulting Numbers: [44, 6]
Generated Node #0,0,3: 35:[44, 6] Operation: 16-10=6
Exploring Operation: 44-16=28, Resulting Numbers: [10, 28]
Generated Node #0,0,4: 35:[10, 28] Operation: 44-16=28
Moving to Node #0,2
Current State: 35:[18, 16, 52], Operations: ['62-10=52']
Exploring Operation: 52-16=36, Resulting Numbers: [18, 36]
Generated Node #0,2,0: 35:[18, 36] Operation: 52-16=36
Exploring Operation: 18-16=2, Resulting Numbers: [52, 2]
Generated Node #0,2,1: 35:[52, 2] Operation: 18-16=2
Exploring Operation: 52-18=34, Resulting Numbers: [16, 34]
Generated Node #0,2,2: 35:[16, 34] Operation: 52-18=34
Exploring Operation: 18+16=34, Resulting Numbers: [52, 34]
Generated Node #0,2,3: 35:[52, 34] Operation: 18+16=34
Exploring Operation: 16+52=68, Resulting Numbers: [18, 68]
Generated Node #0,2,4: 35:[18, 68] Operation: 16+52=68
Moving to Node #0,4
Current State: 35:[62, 10, 34], Operations: ['18+16=34']
Exploring Operation: 62-34=28, Resulting Numbers: [10, 28]
Generated Node #0,4,0: 35:[10, 28] Operation: 62-34=28
Exploring Operation: 10+34=44, Resulting Numbers: [62, 44]
Generated Node #0,4,1: 35:[62, 44] Operation: 10+34=44
Exploring Operation: 62+10=72, Resulting Numbers: [34, 72]
Generated Node #0,4,2: 35:[34, 72] Operation: 62+10=72
Exploring Operation: 34-10=24, Resulting Numbers: [62, 24]
Generated Node #0,4,3: 35:[62, 24] Operation: 34-10=24
Exploring Operation: 62-10=52, Resulting Numbers: [34, 52]
Generated Node #0,4,4: 35:[34, 52] Operation: 62-10=52
Moving to Node #0,1
Current State: 35:[62, 16, 28], Operations: ['18+10=28']
Exploring Operation: 62-16=46, Resulting Numbers: [28, 46]
Generated Node #0,1,0: 35:[28, 46] Operation: 62-16=46
Exploring Operation: 62-28=34, Resulting Numbers: [16, 34]
Generated Node #0,1,1: 35:[16, 34] Operation: 62-28=34
Exploring Operation: 16+28=44, Resulting Numbers: [62, 44]
Generated Node #0,1,2: 35:[62, 44] Operation: 16+28=44
Exploring Operation: 28-16=12, Resulting Numbers: [62, 12]
Generated Node #0,1,3: 35:[62, 12] Operation: 28-16=12
Exploring Operation: 62+16=78, Resulting Numbers: [28, 78]
Generated Node #0,1,4: 35:[28, 78] Operation: 62+16=78
Moving to Node #0,3
Current State: 35:[18, 10, 46], Operations: ['62-16=46']
Exploring Operation: 46-10=36, Resulting Numbers: [18, 36]
Generated Node #0,3,0: 35:[18, 36] Operation: 46-10=36
Exploring Operation: 18-10=8, Resulting Numbers: [46, 8]
Generated Node #0,3,1: 35:[46, 8] Operation: 18-10=8
Exploring Operation: 10+46=56, Resulting Numbers: [18, 56]
Generated Node #0,3,2: 35:[18, 56] Operation: 10+46=56
Exploring Operation: 18+10=28, Resulting Numbers: [46, 28]
Generated Node #0,3,3: 35:[46, 28] Operation: 18+10=28
Exploring Operation: 46-18=28, Resulting Numbers: [10, 28]
Generated Node #0,3,4: 35:[10, 28] Operation: 46-18=28
Moving to Node #0,0,0
Current State: 35:[44, 26], Operations: ['62-18=44', '16+10=26']
Exploring Operation: 44*26=1144, Resulting Numbers: [1144]
1144,35 unequal: No Solution
Exploring Operation: 44-26=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 44+26=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Moving to Node #0,2,0
Current State: 35:[18, 36], Operations: ['62-10=52', '52-16=36']
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 18+36=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 18*36=648, Resulting Numbers: [648]
648,35 unequal: No Solution
Moving to Node #0,2,3
Current State: 35:[52, 34], Operations: ['62-10=52', '18+16=34']
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 52*34=1768, Resulting Numbers: [1768]
1768,35 unequal: No Solution
Exploring Operation: 52+34=86, Resulting Numbers: [86]
86,35 unequal: No Solution
Moving to Node #0,4,4
Current State: 35:[34, 52], Operations: ['18+16=34', '62-10=52']
Exploring Operation: 34+52=86, Resulting Numbers: [86]
86,35 unequal: No Solution
Exploring Operation: 52-34=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 34*52=1768, Resulting Numbers: [1768]
1768,35 unequal: No Solution
Moving to Node #0,3,0
Current State: 35:[18, 36], Operations: ['62-16=46', '46-10=36']
Exploring Operation: 36/18=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Exploring Operation: 36-18=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 18*36=648, Resulting Numbers: [648]
648,35 unequal: No Solution
Exploring Operation: 18+36=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Moving to Node #0,3,3
Current State: 35:[46, 28], Operations: ['62-16=46', '18+10=28']
Exploring Operation: 46*28=1288, Resulting Numbers: [1288]
1288,35 unequal: No Solution
Exploring Operation: 46+28=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Moving to Node #0,1,0
Current State: 35:[28, 46], Operations: ['18+10=28', '62-16=46']
Exploring Operation: 28*46=1288, Resulting Numbers: [1288]
1288,35 unequal: No Solution
Exploring Operation: 46-28=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 28+46=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[16, 34], Operations: ['62-18=44', '44-10=34']
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,35 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Moving to Node #0,2,2
Current State: 35:[16, 34], Operations: ['62-10=52', '52-18=34']
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,35 unequal: No Solution
Moving to Node #0,1,1
Current State: 35:[16, 34], Operations: ['18+10=28', '62-28=34']
Exploring Operation: 16*34=544, Resulting Numbers: [544]
544,35 unequal: No Solution
Exploring Operation: 34-16=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 16+34=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 35:[50], Operations: ['62-18=44', '44-10=34', '16+34=50']
Moving to Node #0,2,2,0
Current State: 35:[50], Operations: ['62-10=52', '52-18=34', '16+34=50']
Moving to Node #0,1,1,0
Current State: 35:[50], Operations: ['18+10=28', '62-28=34', '16+34=50']
Moving to Node #0,4,0
Current State: 35:[10, 28], Operations: ['18+16=34', '62-34=28']
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,35 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,0,4
Current State: 35:[10, 28], Operations: ['62-18=44', '44-16=28']
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,35 unequal: No Solution
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,4,0,0
Current State: 35:[38], Operations: ['18+16=34', '62-34=28', '10+28=38']
Moving to Node #0,0,4,0
Current State: 35:[38], Operations: ['62-18=44', '44-16=28', '10+28=38']
Moving to Node #0,3,4
Current State: 35:[10, 28], Operations: ['62-16=46', '46-18=28']
Exploring Operation: 10+28=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 10*28=280, Resulting Numbers: [280]
280,35 unequal: No Solution
Exploring Operation: 28-10=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Moving to Node #0,2,3,0
Current State: 35:[18], Operations: ['62-10=52', '18+16=34', '52-34=18']
Moving to Node #0,4,4,0
Current State: 35:[18], Operations: ['18+16=34', '62-10=52', '52-34=18']
Moving to Node #0,3,4,0
Current State: 35:[38], Operations: ['62-16=46', '46-18=28', '10+28=38']
Moving to Node #0,2,0,0
Current State: 35:[18], Operations: ['62-10=52', '52-16=36', '36-18=18']
Moving to Node #0,1,1,0
Current State: 35:[18], Operations: ['18+10=28', '62-28=34', '34-16=18']
Moving to Node #0,4,0,0
Current State: 35:[18], Operations: ['18+16=34', '62-34=28', '28-10=18']
Moving to Node #0,0,4,0
Current State: 35:[18], Operations: ['62-18=44', '44-16=28', '28-10=18']
Moving to Node #0,3,4,0
Current State: 35:[18], Operations: ['62-16=46', '46-18=28', '28-10=18']
Moving to Node #0,0,0,0
Current State: 35:[18], Operations: ['62-18=44', '16+10=26', '44-26=18']
Moving to Node #0,0,1,0
Current State: 35:[18], Operations: ['62-18=44', '44-10=34', '34-16=18']
Moving to Node #0,2,2,0
Current State: 35:[18], Operations: ['62-10=52', '52-18=34', '34-16=18']
Moving to Node #0,3,0,0
Current State: 35:[18], Operations: ['62-16=46', '46-10=36', '36-18=18']
Moving to Node #0,1,0,0
Current State: 35:[18], Operations: ['18+10=28', '62-16=46', '46-28=18']
Moving to Node #0,3,3,0
Current State: 35:[18], Operations: ['62-16=46', '18+10=28', '46-28=18']
Moving to Node #0,4,1
Current State: 35:[62, 44], Operations: ['18+16=34', '10+34=44']
Exploring Operation: 62+44=106, Resulting Numbers: [106]
106,35 unequal: No Solution
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Exploring Operation: 62*44=2728, Resulting Numbers: [2728]
2728,35 unequal: No Solution
Moving to Node #0,1,2
Current State: 35:[62, 44], Operations: ['18+10=28', '16+28=44']
Exploring Operation: 62*44=2728, Resulting Numbers: [2728]
2728,35 unequal: No Solution
Exploring Operation: 62+44=106, Resulting Numbers: [106]
106,35 unequal: No Solution
Exploring Operation: 62-44=18, Resulting Numbers: [18]
18,35 unequal: No Solution
Moving to Node #0,3,2
Current State: 35:[18, 56], Operations: ['62-16=46', '10+46=56']
Exploring Operation: 18*56=1008, Resulting Numbers: [1008]
1008,35 unequal: No Solution
Exploring Operation: 18+56=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 56-18=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,3,2,0
Current State: 35:[38], Operations: ['62-16=46', '10+46=56', '56-18=38']
Moving to Node #0,4,1,0
Current State: 35:[18], Operations: ['18+16=34', '10+34=44', '62-44=18']
Moving to Node #0,1,2,0
Current State: 35:[18], Operations: ['18+10=28', '16+28=44', '62-44=18']
Moving to Node #0,4,2
Current State: 35:[34, 72], Operations: ['18+16=34', '62+10=72']
Exploring Operation: 72-34=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Exploring Operation: 34*72=2448, Resulting Numbers: [2448]
2448,35 unequal: No Solution
Exploring Operation: 34+72=106, Resulting Numbers: [106]
106,35 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 35:[54], Operations: ['62-10=52', '52-16=36', '18+36=54']
Moving to Node #0,4,2,0
Current State: 35:[38], Operations: ['18+16=34', '62+10=72', '72-34=38']
Moving to Node #0,3,1
Current State: 35:[46, 8], Operations: ['62-16=46', '18-10=8']
Exploring Operation: 46*8=368, Resulting Numbers: [368]
368,35 unequal: No Solution
Exploring Operation: 46+8=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 46-8=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,4,3
Current State: 35:[62, 24], Operations: ['18+16=34', '34-10=24']
Exploring Operation: 62*24=1488, Resulting Numbers: [1488]
1488,35 unequal: No Solution
Exploring Operation: 62+24=86, Resulting Numbers: [86]
86,35 unequal: No Solution
Exploring Operation: 62-24=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,0,3
Current State: 35:[44, 6], Operations: ['62-18=44', '16-10=6']
Exploring Operation: 44*6=264, Resulting Numbers: [264]
264,35 unequal: No Solution
Exploring Operation: 44+6=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 44-6=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,3,0,0
Current State: 35:[54], Operations: ['62-16=46', '46-10=36', '18+36=54']
Moving to Node #0,3,1,0
Current State: 35:[38], Operations: ['62-16=46', '18-10=8', '46-8=38']
Moving to Node #0,4,3,0
Current State: 35:[38], Operations: ['18+16=34', '34-10=24', '62-24=38']
Moving to Node #0,0,3,0
Current State: 35:[38], Operations: ['62-18=44', '16-10=6', '44-6=38']
Moving to Node #0,0,3,0
Current State: 35:[50], Operations: ['62-18=44', '16-10=6', '44+6=50']
Moving to Node #0,0,2
Current State: 35:[16, 54], Operations: ['62-18=44', '10+44=54']
Exploring Operation: 16*54=864, Resulting Numbers: [864]
864,35 unequal: No Solution
Exploring Operation: 16+54=70, Resulting Numbers: [70]
70,35 unequal: No Solution
Exploring Operation: 54-16=38, Resulting Numbers: [38]
38,35 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 35:[38], Operations: ['62-18=44', '10+44=54', '54-16=38']
Moving to Node #0,3,1,0
Current State: 35:[54], Operations: ['62-16=46', '18-10=8', '46+8=54']
Moving to Node #0,2,1
Current State: 35:[52, 2], Operations: ['62-10=52', '18-16=2']
Exploring Operation: 52/2=26, Resulting Numbers: [26]
26,35 unequal: No Solution
Exploring Operation: 52*2=104, Resulting Numbers: [104]
104,35 unequal: No Solution
Exploring Operation: 52+2=54, Resulting Numbers: [54]
54,35 unequal: No Solution
Exploring Operation: 52-2=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,1,4
Current State: 35:[28, 78], Operations: ['18+10=28', '62+16=78']
Exploring Operation: 28+78=106, Resulting Numbers: [106]
106,35 unequal: No Solution
Exploring Operation: 28*78=2184, Resulting Numbers: [2184]
2184,35 unequal: No Solution
Exploring Operation: 78-28=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,1,3
Current State: 35:[62, 12], Operations: ['18+10=28', '28-16=12']
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,35 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,35 unequal: No Solution
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 35:[26], Operations: ['62-10=52', '18-16=2', '52/2=26']
Moving to Node #0,2,1,0
Current State: 35:[50], Operations: ['62-10=52', '18-16=2', '52-2=50']
Moving to Node #0,1,4,0
Current State: 35:[50], Operations: ['18+10=28', '62+16=78', '78-28=50']
Moving to Node #0,1,3,0
Current State: 35:[50], Operations: ['18+10=28', '28-16=12', '62-12=50']
Moving to Node #0,2,1,0
Current State: 35:[54], Operations: ['62-10=52', '18-16=2', '52+2=54']
Moving to Node #0,2,4
Current State: 35:[18, 68], Operations: ['62-10=52', '16+52=68']
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,35 unequal: No Solution
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,35 unequal: No Solution
Exploring Operation: 18*68=1224, Resulting Numbers: [1224]
1224,35 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 35:[2], Operations: ['62-10=52', '52-16=36', '36/18=2']
Moving to Node #0,3,0,0
Current State: 35:[2], Operations: ['62-16=46', '46-10=36', '36/18=2']
Moving to Node #0,0,0,0
Current State: 35:[70], Operations: ['62-18=44', '16+10=26', '44+26=70']
Moving to Node #0,0,2,0
Current State: 35:[70], Operations: ['62-18=44', '10+44=54', '16+54=70']
Moving to Node #0,2,4,0
Current State: 35:[50], Operations: ['62-10=52', '16+52=68', '68-18=50']
Moving to Node #0,1,0,0
Current State: 35:[74], Operations: ['18+10=28', '62-16=46', '28+46=74']
Moving to Node #0,3,3,0
Current State: 35:[74], Operations: ['62-16=46', '18+10=28', '46+28=74']
Moving to Node #0,1,3,0
Current State: 35:[74], Operations: ['18+10=28', '28-16=12', '62+12=74']
Moving to Node #0,3,2,0
Current State: 35:[74], Operations: ['62-16=46', '10+46=56', '18+56=74']
Moving to Node #0,2,3,0
Current State: 35:[86], Operations: ['62-10=52', '18+16=34', '52+34=86']
Moving to Node #0,2,4,0
Current State: 35:[86], Operations: ['62-10=52', '16+52=68', '18+68=86']
Moving to Node #0,4,4,0
Current State: 35:[86], Operations: ['18+16=34', '62-10=52', '34+52=86']
Moving to Node #0,4,3,0
Current State: 35:[86], Operations: ['18+16=34', '34-10=24', '62+24=86']
Moving to Node #0,2,1,0
Current State: 35:[104], Operations: ['62-10=52', '18-16=2', '52*2=104']
Moving to Node #0,1,2,0
Current State: 35:[106], Operations: ['18+10=28', '16+28=44', '62+44=106']
Moving to Node #0,1,4,0
Current State: 35:[106], Operations: ['18+10=28', '62+16=78', '28+78=106']
Moving to Node #0,4,1,0
Current State: 35:[106], Operations: ['18+16=34', '10+34=44', '62+44=106']
Moving to Node #0,4,2,0
Current State: 35:[106], Operations: ['18+16=34', '62+10=72', '34+72=106']
Moving to Node #0,0,3,0
Current State: 35:[264], Operations: ['62-18=44', '16-10=6', '44*6=264']
Moving to Node #0,4,0,0
Current State: 35:[280], Operations: ['18+16=34', '62-34=28', '10*28=280']
Moving to Node #0,0,4,0
Current State: 35:[280], Operations: ['62-18=44', '44-16=28', '10*28=280']
Moving to Node #0,3,4,0
Current State: 35:[280], Operations: ['62-16=46', '46-18=28', '10*28=280']
Moving to Node #0,3,1,0
Current State: 35:[368], Operations: ['62-16=46', '18-10=8', '46*8=368']
Moving to Node #0,1,1,0
Current State: 35:[544], Operations: ['18+10=28', '62-28=34', '16*34=544']
Moving to Node #0,2,2,0
Current State: 35:[544], Operations: ['62-10=52', '52-18=34', '16*34=544']
Moving to Node #0,0,1,0
Current State: 35:[544], Operations: ['62-18=44', '44-10=34', '16*34=544']
Moving to Node #0,3,0,0
Current State: 35:[648], Operations: ['62-16=46', '46-10=36', '18*36=648']
Moving to Node #0,2,0,0
Current State: 35:[648], Operations: ['62-10=52', '52-16=36', '18*36=648']
Moving to Node #0,1,3,0
Current State: 35:[744], Operations: ['18+10=28', '28-16=12', '62*12=744']
Moving to Node #0,0,2,0
Current State: 35:[864], Operations: ['62-18=44', '10+44=54', '16*54=864']
Moving to Node #0,3,2,0
Current State: 35:[1008], Operations: ['62-16=46', '10+46=56', '18*56=1008']
Moving to Node #0,0,0,0
Current State: 35:[1144], Operations: ['62-18=44', '16+10=26', '44*26=1144']
Moving to Node #0,2,4,0
Current State: 35:[1224], Operations: ['62-10=52', '16+52=68', '18*68=1224']
Moving to Node #0,1,0,0
Current State: 35:[1288], Operations: ['18+10=28', '62-16=46', '28*46=1288']
Moving to Node #0,3,3,0
Current State: 35:[1288], Operations: ['62-16=46', '18+10=28', '46*28=1288']
Moving to Node #0,4,3,0
Current State: 35:[1488], Operations: ['18+16=34', '34-10=24', '62*24=1488']
Moving to Node #0,2,3,0
Current State: 35:[1768], Operations: ['62-10=52', '18+16=34', '52*34=1768']
Moving to Node #0,4,4,0
Current State: 35:[1768], Operations: ['18+16=34', '62-10=52', '34*52=1768']
Moving to Node #0,1,4,0
Current State: 35:[2184], Operations: ['18+10=28', '62+16=78', '28*78=2184']
Moving to Node #0,4,2,0
Current State: 35:[2448], Operations: ['18+16=34', '62+10=72', '34*72=2448']
Moving to Node #0,1,2,0
Current State: 35:[2728], Operations: ['18+10=28', '16+28=44', '62*44=2728']
Moving to Node #0,4,1,0
Current State: 35:[2728], Operations: ['18+16=34', '10+34=44', '62*44=2728']
No solution found. | 0 | bfs_5 | Current State: 35:[62, 18, 16, 10], Operations: []
Exploring Operation: 18*16=288, Resulting Numbers: [62, 10, 288]
Generated Node #2: [62, 10, 288] from Operation: 18*16=288
Current State: 35:[62, 10, 288], Operations: ['18*16=288']
Exploring Operation: 62+288=350, Resulting Numbers: [10, 350]
Generated Node #3: [10, 350] from Operation: 62+288=350
Current State: 35:[10, 350], Operations: ['18*16=288', '62+288=350']
Exploring Operation: 350/10=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| sum_heuristic |
[
61,
64,
62,
90
] | 31 | [
"64-61=3",
"90-62=28",
"3+28=31"
] | Current State: 31:[61, 64, 62, 90], Operations: []
Exploring Operation: 90-64=26, Resulting Numbers: [61, 62, 26]
Generated Node #0,0: 31:[61, 62, 26] Operation: 90-64=26
Exploring Operation: 90-61=29, Resulting Numbers: [64, 62, 29]
Generated Node #0,1: 31:[64, 62, 29] Operation: 90-61=29
Moving to Node #0,0
Current State: 31:[61, 62, 26], Operations: ['90-64=26']
Exploring Operation: 61-26=35, Resulting Numbers: [62, 35]
Generated Node #0,0,0: 31:[62, 35] Operation: 61-26=35
Exploring Operation: 62-61=1, Resulting Numbers: [26, 1]
Generated Node #0,0,1: 31:[26, 1] Operation: 62-61=1
Moving to Node #0,1
Current State: 31:[64, 62, 29], Operations: ['90-61=29']
Exploring Operation: 64-62=2, Resulting Numbers: [29, 2]
Generated Node #0,1,0: 31:[29, 2] Operation: 64-62=2
Exploring Operation: 64-29=35, Resulting Numbers: [62, 35]
Generated Node #0,1,1: 31:[62, 35] Operation: 64-29=35
Moving to Node #0,1,0
Current State: 31:[29, 2], Operations: ['90-61=29', '64-62=2']
Exploring Operation: 29+2=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.993056 | bfs_2 | Current State: 31:[61, 64, 62, 90], Operations: []
Exploring Operation: 64-61=3, Resulting Numbers: [62, 90, 3]
Generated Node #2: [62, 90, 3] from Operation: 64-61=3
Current State: 31:[62, 90, 3], Operations: ['64-61=3']
Exploring Operation: 90-62=28, Resulting Numbers: [3, 28]
Generated Node #3: [3, 28] from Operation: 90-62=28
Current State: 31:[3, 28], Operations: ['64-61=3', '90-62=28']
Exploring Operation: 3+28=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| mult_heuristic |
[
18,
26,
76,
29
] | 52 | [
"76-18=58",
"26*58=1508",
"1508/29=52"
] | Current State: 52:[18, 26, 76, 29], Operations: []
Exploring Operation: 18+26=44, Resulting Numbers: [76, 29, 44]
Generated Node #0,0: 52:[76, 29, 44] Operation: 18+26=44
Moving to Node #0,0
Current State: 52:[76, 29, 44], Operations: ['18+26=44']
Exploring Operation: 76-29=47, Resulting Numbers: [44, 47]
Generated Node #0,0,0: 52:[44, 47] Operation: 76-29=47
Moving to Node #0,0,0
Current State: 52:[44, 47], Operations: ['18+26=44', '76-29=47']
Exploring Operation: 44+47=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[44, 47], Operations: ['18+26=44', '76-29=47']
Exploring Operation: 47-44=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[76, 29, 44], Operations: ['18+26=44']
Exploring Operation: 76-44=32, Resulting Numbers: [29, 32]
Generated Node #0,0,1: 52:[29, 32] Operation: 76-44=32
Moving to Node #0,0,1
Current State: 52:[29, 32], Operations: ['18+26=44', '76-44=32']
Exploring Operation: 29+32=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[29, 32], Operations: ['18+26=44', '76-44=32']
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[76, 29, 44], Operations: ['18+26=44']
Exploring Operation: 29+44=73, Resulting Numbers: [76, 73]
Generated Node #0,0,2: 52:[76, 73] Operation: 29+44=73
Moving to Node #0,0,2
Current State: 52:[76, 73], Operations: ['18+26=44', '29+44=73']
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[76, 29, 44], Operations: ['18+26=44']
Exploring Operation: 76+29=105, Resulting Numbers: [44, 105]
Generated Node #0,0,3: 52:[44, 105] Operation: 76+29=105
Moving to Node #0,0,3
Current State: 52:[44, 105], Operations: ['18+26=44', '76+29=105']
Exploring Operation: 105-44=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[76, 29, 44], Operations: ['18+26=44']
Exploring Operation: 44-29=15, Resulting Numbers: [76, 15]
Generated Node #0,0,4: 52:[76, 15] Operation: 44-29=15
Moving to Node #0,0,4
Current State: 52:[76, 15], Operations: ['18+26=44', '44-29=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Moving to Node #0,0,4
Current State: 52:[76, 15], Operations: ['18+26=44', '44-29=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[76, 29, 44], Operations: ['18+26=44']
Exploring Operation: 76+44=120, Resulting Numbers: [29, 120]
Generated Node #0,0,5: 52:[29, 120] Operation: 76+44=120
Moving to Node #0,0,5
Current State: 52:[29, 120], Operations: ['18+26=44', '76+44=120']
Exploring Operation: 120-29=91, Resulting Numbers: [91]
91,52 unequal: No Solution
Moving to Node #0
Current State: 52:[18, 26, 76, 29], Operations: []
Exploring Operation: 76-18=58, Resulting Numbers: [26, 29, 58]
Generated Node #0,1: 52:[26, 29, 58] Operation: 76-18=58
Moving to Node #0,1
Current State: 52:[26, 29, 58], Operations: ['76-18=58']
Exploring Operation: 26+29=55, Resulting Numbers: [58, 55]
Generated Node #0,1,0: 52:[58, 55] Operation: 26+29=55
Moving to Node #0,1,0
Current State: 52:[58, 55], Operations: ['76-18=58', '26+29=55']
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[26, 29, 58], Operations: ['76-18=58']
Exploring Operation: 58-26=32, Resulting Numbers: [29, 32]
Generated Node #0,1,1: 52:[29, 32] Operation: 58-26=32
Moving to Node #0,1,1
Current State: 52:[29, 32], Operations: ['76-18=58', '58-26=32']
Exploring Operation: 29+32=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Moving to Node #0,1,1
Current State: 52:[29, 32], Operations: ['76-18=58', '58-26=32']
Exploring Operation: 32-29=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[26, 29, 58], Operations: ['76-18=58']
Exploring Operation: 58-29=29, Resulting Numbers: [26, 29]
Generated Node #0,1,2: 52:[26, 29] Operation: 58-29=29
Moving to Node #0,1,2
Current State: 52:[26, 29], Operations: ['76-18=58', '58-29=29']
Exploring Operation: 26+29=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[26, 29], Operations: ['76-18=58', '58-29=29']
Exploring Operation: 29-26=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[26, 29, 58], Operations: ['76-18=58']
Exploring Operation: 29-26=3, Resulting Numbers: [58, 3]
Generated Node #0,1,3: 52:[58, 3] Operation: 29-26=3
Moving to Node #0,1,3
Current State: 52:[58, 3], Operations: ['76-18=58', '29-26=3']
Exploring Operation: 58-3=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Moving to Node #0,1,3
Current State: 52:[58, 3], Operations: ['76-18=58', '29-26=3']
Exploring Operation: 58+3=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[26, 29, 58], Operations: ['76-18=58']
Exploring Operation: 26+58=84, Resulting Numbers: [29, 84]
Generated Node #0,1,4: 52:[29, 84] Operation: 26+58=84
Moving to Node #0,1,4
Current State: 52:[29, 84], Operations: ['76-18=58', '26+58=84']
Exploring Operation: 84-29=55, Resulting Numbers: [55]
55,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[26, 29, 58], Operations: ['76-18=58']
Exploring Operation: 29+58=87, Resulting Numbers: [26, 87]
Generated Node #0,1,5: 52:[26, 87] Operation: 29+58=87
Moving to Node #0,1,5
Current State: 52:[26, 87], Operations: ['76-18=58', '29+58=87']
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[26, 29, 58], Operations: ['76-18=58']
Exploring Operation: 58/29=2, Resulting Numbers: [26, 2]
Generated Node #0,1,6: 52:[26, 2] Operation: 58/29=2
Moving to Node #0,1,6
Current State: 52:[26, 2], Operations: ['76-18=58', '58/29=2']
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.969618 | dfs | Current State: 52:[18, 26, 76, 29], Operations: []
Exploring Operation: 76-18=58, Resulting Numbers: [26, 29, 58]
Generated Node #2: [26, 29, 58] from Operation: 76-18=58
Current State: 52:[26, 29, 58], Operations: ['76-18=58']
Exploring Operation: 26*58=1508, Resulting Numbers: [29, 1508]
Generated Node #3: [29, 1508] from Operation: 26*58=1508
Current State: 52:[29, 1508], Operations: ['76-18=58', '26*58=1508']
Exploring Operation: 1508/29=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| sum_heuristic |
[
44,
82,
32,
24
] | 70 | [
"44+82=126",
"32+24=56",
"126-56=70"
] | Current State: 70:[44, 82, 32, 24], Operations: []
Exploring Operation: 82-44=38, Resulting Numbers: [32, 24, 38]
Generated Node #0,0: 70:[32, 24, 38] Operation: 82-44=38
Exploring Operation: 44-24=20, Resulting Numbers: [82, 32, 20]
Generated Node #0,1: 70:[82, 32, 20] Operation: 44-24=20
Exploring Operation: 44+24=68, Resulting Numbers: [82, 32, 68]
Generated Node #0,2: 70:[82, 32, 68] Operation: 44+24=68
Moving to Node #0,0
Current State: 70:[32, 24, 38], Operations: ['82-44=38']
Exploring Operation: 32+38=70, Resulting Numbers: [24, 70]
Generated Node #0,0,0: 70:[24, 70] Operation: 32+38=70
Exploring Operation: 38-24=14, Resulting Numbers: [32, 14]
Generated Node #0,0,1: 70:[32, 14] Operation: 38-24=14
Exploring Operation: 32-24=8, Resulting Numbers: [38, 8]
Generated Node #0,0,2: 70:[38, 8] Operation: 32-24=8
Moving to Node #0,2
Current State: 70:[82, 32, 68], Operations: ['44+24=68']
Exploring Operation: 82-68=14, Resulting Numbers: [32, 14]
Generated Node #0,2,0: 70:[32, 14] Operation: 82-68=14
Exploring Operation: 82-32=50, Resulting Numbers: [68, 50]
Generated Node #0,2,1: 70:[68, 50] Operation: 82-32=50
Exploring Operation: 68-32=36, Resulting Numbers: [82, 36]
Generated Node #0,2,2: 70:[82, 36] Operation: 68-32=36
Moving to Node #0,1
Current State: 70:[82, 32, 20], Operations: ['44-24=20']
Exploring Operation: 82-20=62, Resulting Numbers: [32, 62]
Generated Node #0,1,0: 70:[32, 62] Operation: 82-20=62
Exploring Operation: 82-32=50, Resulting Numbers: [20, 50]
Generated Node #0,1,1: 70:[20, 50] Operation: 82-32=50
Exploring Operation: 32-20=12, Resulting Numbers: [82, 12]
Generated Node #0,1,2: 70:[82, 12] Operation: 32-20=12
Moving to Node #0,0,1
Current State: 70:[32, 14], Operations: ['82-44=38', '38-24=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 32*14=448, Resulting Numbers: [448]
448,70 unequal: No Solution
Moving to Node #0,2,0
Current State: 70:[32, 14], Operations: ['44+24=68', '82-68=14']
Exploring Operation: 32*14=448, Resulting Numbers: [448]
448,70 unequal: No Solution
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,70 unequal: No Solution
Moving to Node #0,0,2
Current State: 70:[38, 8], Operations: ['82-44=38', '32-24=8']
Exploring Operation: 38*8=304, Resulting Numbers: [304]
304,70 unequal: No Solution
Exploring Operation: 38+8=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 38-8=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 70:[18], Operations: ['82-44=38', '38-24=14', '32-14=18']
Moving to Node #0,2,0,0
Current State: 70:[18], Operations: ['44+24=68', '82-68=14', '32-14=18']
Moving to Node #0,0,2,0
Current State: 70:[30], Operations: ['82-44=38', '32-24=8', '38-8=30']
Moving to Node #0,0,0
Current State: 70:[24, 70], Operations: ['82-44=38', '32+38=70']
Exploring Operation: 70-24=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 24+70=94, Resulting Numbers: [94]
94,70 unequal: No Solution
Exploring Operation: 24*70=1680, Resulting Numbers: [1680]
1680,70 unequal: No Solution
Moving to Node #0,1,0
Current State: 70:[32, 62], Operations: ['44-24=20', '82-20=62']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,70 unequal: No Solution
Exploring Operation: 32*62=1984, Resulting Numbers: [1984]
1984,70 unequal: No Solution
Exploring Operation: 32+62=94, Resulting Numbers: [94]
94,70 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 70:[46], Operations: ['82-44=38', '32-24=8', '38+8=46']
Moving to Node #0,1,0,0
Current State: 70:[30], Operations: ['44-24=20', '82-20=62', '62-32=30']
Moving to Node #0,0,1,0
Current State: 70:[46], Operations: ['82-44=38', '38-24=14', '32+14=46']
Moving to Node #0,2,0,0
Current State: 70:[46], Operations: ['44+24=68', '82-68=14', '32+14=46']
Moving to Node #0,0,0,0
Current State: 70:[46], Operations: ['82-44=38', '32+38=70', '70-24=46']
Moving to Node #0,2,2
Current State: 70:[82, 36], Operations: ['44+24=68', '68-32=36']
Exploring Operation: 82+36=118, Resulting Numbers: [118]
118,70 unequal: No Solution
Exploring Operation: 82-36=46, Resulting Numbers: [46]
46,70 unequal: No Solution
Exploring Operation: 82*36=2952, Resulting Numbers: [2952]
2952,70 unequal: No Solution
Moving to Node #0,1,2
Current State: 70:[82, 12], Operations: ['44-24=20', '32-20=12']
Exploring Operation: 82-12=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 0.972222 | bfs_3 | Current State: 70:[44, 82, 32, 24], Operations: []
Exploring Operation: 44+82=126, Resulting Numbers: [32, 24, 126]
Generated Node #2: [32, 24, 126] from Operation: 44+82=126
Current State: 70:[32, 24, 126], Operations: ['44+82=126']
Exploring Operation: 32+24=56, Resulting Numbers: [126, 56]
Generated Node #3: [126, 56] from Operation: 32+24=56
Current State: 70:[126, 56], Operations: ['44+82=126', '32+24=56']
Exploring Operation: 126-56=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| mult_heuristic |
[
76,
2,
70,
92
] | 23 | [
"76-2=74",
"74-70=4",
"92/4=23"
] | Current State: 23:[76, 2, 70, 92], Operations: []
| 0 | dfs | Current State: 23:[76, 2, 70, 92], Operations: []
Exploring Operation: 76-2=74, Resulting Numbers: [70, 92, 74]
Generated Node #2: [70, 92, 74] from Operation: 76-2=74
Current State: 23:[70, 92, 74], Operations: ['76-2=74']
Exploring Operation: 74-70=4, Resulting Numbers: [92, 4]
Generated Node #3: [92, 4] from Operation: 74-70=4
Current State: 23:[92, 4], Operations: ['76-2=74', '74-70=4']
Exploring Operation: 92/4=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| mult_heuristic |
[
97,
16,
6,
27
] | 80 | [
"97+16=113",
"6+27=33",
"113-33=80"
] | Current State: 80:[97, 16, 6, 27], Operations: []
Exploring Operation: 97-6=91, Resulting Numbers: [16, 27, 91]
Generated Node #0,0: 80:[16, 27, 91] Operation: 97-6=91
Exploring Operation: 16*6=96, Resulting Numbers: [97, 27, 96]
Generated Node #0,1: 80:[97, 27, 96] Operation: 16*6=96
Exploring Operation: 16+6=22, Resulting Numbers: [97, 27, 22]
Generated Node #0,2: 80:[97, 27, 22] Operation: 16+6=22
Exploring Operation: 97-16=81, Resulting Numbers: [6, 27, 81]
Generated Node #0,3: 80:[6, 27, 81] Operation: 97-16=81
Exploring Operation: 16+27=43, Resulting Numbers: [97, 6, 43]
Generated Node #0,4: 80:[97, 6, 43] Operation: 16+27=43
Moving to Node #0,1
Current State: 80:[97, 27, 96], Operations: ['16*6=96']
Exploring Operation: 97+27=124, Resulting Numbers: [96, 124]
Generated Node #0,1,0: 80:[96, 124] Operation: 97+27=124
Exploring Operation: 96-27=69, Resulting Numbers: [97, 69]
Generated Node #0,1,1: 80:[97, 69] Operation: 96-27=69
Exploring Operation: 27+96=123, Resulting Numbers: [97, 123]
Generated Node #0,1,2: 80:[97, 123] Operation: 27+96=123
Exploring Operation: 97-96=1, Resulting Numbers: [27, 1]
Generated Node #0,1,3: 80:[27, 1] Operation: 97-96=1
Exploring Operation: 97-27=70, Resulting Numbers: [96, 70]
Generated Node #0,1,4: 80:[96, 70] Operation: 97-27=70
Moving to Node #0,2
Current State: 80:[97, 27, 22], Operations: ['16+6=22']
Exploring Operation: 97+22=119, Resulting Numbers: [27, 119]
Generated Node #0,2,0: 80:[27, 119] Operation: 97+22=119
Exploring Operation: 27+22=49, Resulting Numbers: [97, 49]
Generated Node #0,2,1: 80:[97, 49] Operation: 27+22=49
Exploring Operation: 27-22=5, Resulting Numbers: [97, 5]
Generated Node #0,2,2: 80:[97, 5] Operation: 27-22=5
Exploring Operation: 97-22=75, Resulting Numbers: [27, 75]
Generated Node #0,2,3: 80:[27, 75] Operation: 97-22=75
Exploring Operation: 97-27=70, Resulting Numbers: [22, 70]
Generated Node #0,2,4: 80:[22, 70] Operation: 97-27=70
Moving to Node #0,4
Current State: 80:[97, 6, 43], Operations: ['16+27=43']
Exploring Operation: 97-6=91, Resulting Numbers: [43, 91]
Generated Node #0,4,0: 80:[43, 91] Operation: 97-6=91
Exploring Operation: 97-43=54, Resulting Numbers: [6, 54]
Generated Node #0,4,1: 80:[6, 54] Operation: 97-43=54
Exploring Operation: 6+43=49, Resulting Numbers: [97, 49]
Generated Node #0,4,2: 80:[97, 49] Operation: 6+43=49
Exploring Operation: 43-6=37, Resulting Numbers: [97, 37]
Generated Node #0,4,3: 80:[97, 37] Operation: 43-6=37
Exploring Operation: 97+6=103, Resulting Numbers: [43, 103]
Generated Node #0,4,4: 80:[43, 103] Operation: 97+6=103
Moving to Node #0,0
Current State: 80:[16, 27, 91], Operations: ['97-6=91']
Exploring Operation: 16+27=43, Resulting Numbers: [91, 43]
Generated Node #0,0,0: 80:[91, 43] Operation: 16+27=43
Exploring Operation: 16+91=107, Resulting Numbers: [27, 107]
Generated Node #0,0,1: 80:[27, 107] Operation: 16+91=107
Exploring Operation: 91-16=75, Resulting Numbers: [27, 75]
Generated Node #0,0,2: 80:[27, 75] Operation: 91-16=75
Exploring Operation: 91-27=64, Resulting Numbers: [16, 64]
Generated Node #0,0,3: 80:[16, 64] Operation: 91-27=64
Exploring Operation: 27-16=11, Resulting Numbers: [91, 11]
Generated Node #0,0,4: 80:[91, 11] Operation: 27-16=11
Moving to Node #0,3
Current State: 80:[6, 27, 81], Operations: ['97-16=81']
Exploring Operation: 81-6=75, Resulting Numbers: [27, 75]
Generated Node #0,3,0: 80:[27, 75] Operation: 81-6=75
Exploring Operation: 6*27=162, Resulting Numbers: [81, 162]
Generated Node #0,3,1: 80:[81, 162] Operation: 6*27=162
Exploring Operation: 6+81=87, Resulting Numbers: [27, 87]
Generated Node #0,3,2: 80:[27, 87] Operation: 6+81=87
Exploring Operation: 27-6=21, Resulting Numbers: [81, 21]
Generated Node #0,3,3: 80:[81, 21] Operation: 27-6=21
Exploring Operation: 6+27=33, Resulting Numbers: [81, 33]
Generated Node #0,3,4: 80:[81, 33] Operation: 6+27=33
Moving to Node #0,1,4
Current State: 80:[96, 70], Operations: ['16*6=96', '97-27=70']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 96*70=6720, Resulting Numbers: [6720]
6720,80 unequal: No Solution
Exploring Operation: 96+70=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[97, 69], Operations: ['16*6=96', '96-27=69']
Exploring Operation: 97*69=6693, Resulting Numbers: [6693]
6693,80 unequal: No Solution
Exploring Operation: 97-69=28, Resulting Numbers: [28]
28,80 unequal: No Solution
Exploring Operation: 97+69=166, Resulting Numbers: [166]
166,80 unequal: No Solution
Moving to Node #0,2,1
Current State: 80:[97, 49], Operations: ['16+6=22', '27+22=49']
Exploring Operation: 97*49=4753, Resulting Numbers: [4753]
4753,80 unequal: No Solution
Exploring Operation: 97+49=146, Resulting Numbers: [146]
146,80 unequal: No Solution
Exploring Operation: 97-49=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Moving to Node #0,4,2
Current State: 80:[97, 49], Operations: ['16+27=43', '6+43=49']
Exploring Operation: 97-49=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 97+49=146, Resulting Numbers: [146]
146,80 unequal: No Solution
Exploring Operation: 97*49=4753, Resulting Numbers: [4753]
4753,80 unequal: No Solution
Moving to Node #0,4,0
Current State: 80:[43, 91], Operations: ['16+27=43', '97-6=91']
Exploring Operation: 43+91=134, Resulting Numbers: [134]
134,80 unequal: No Solution
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 43*91=3913, Resulting Numbers: [3913]
3913,80 unequal: No Solution
Moving to Node #0,3,4
Current State: 80:[81, 33], Operations: ['97-16=81', '6+27=33']
Exploring Operation: 81+33=114, Resulting Numbers: [114]
114,80 unequal: No Solution
Exploring Operation: 81-33=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 81*33=2673, Resulting Numbers: [2673]
2673,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[91, 43], Operations: ['97-6=91', '16+27=43']
Exploring Operation: 91-43=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 91+43=134, Resulting Numbers: [134]
134,80 unequal: No Solution
Exploring Operation: 91*43=3913, Resulting Numbers: [3913]
3913,80 unequal: No Solution
Moving to Node #0,2,3
Current State: 80:[27, 75], Operations: ['16+6=22', '97-22=75']
Exploring Operation: 27*75=2025, Resulting Numbers: [2025]
2025,80 unequal: No Solution
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 27+75=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Moving to Node #0,3,0
Current State: 80:[27, 75], Operations: ['97-16=81', '81-6=75']
Exploring Operation: 27*75=2025, Resulting Numbers: [2025]
2025,80 unequal: No Solution
Exploring Operation: 27+75=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[27, 75], Operations: ['97-6=91', '91-16=75']
Exploring Operation: 27+75=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 75-27=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Exploring Operation: 27*75=2025, Resulting Numbers: [2025]
2025,80 unequal: No Solution
Moving to Node #0,2,3,0
Current State: 80:[102], Operations: ['16+6=22', '97-22=75', '27+75=102']
Moving to Node #0,3,0,0
Current State: 80:[102], Operations: ['97-16=81', '81-6=75', '27+75=102']
Moving to Node #0,0,2,0
Current State: 80:[102], Operations: ['97-6=91', '91-16=75', '27+75=102']
Moving to Node #0,3,2
Current State: 80:[27, 87], Operations: ['97-16=81', '6+81=87']
Exploring Operation: 27*87=2349, Resulting Numbers: [2349]
2349,80 unequal: No Solution
Exploring Operation: 87-27=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 27+87=114, Resulting Numbers: [114]
114,80 unequal: No Solution
Moving to Node #0,4,3
Current State: 80:[97, 37], Operations: ['16+27=43', '43-6=37']
Exploring Operation: 97*37=3589, Resulting Numbers: [3589]
3589,80 unequal: No Solution
Exploring Operation: 97-37=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 97+37=134, Resulting Numbers: [134]
134,80 unequal: No Solution
Moving to Node #0,3,2,0
Current State: 80:[60], Operations: ['97-16=81', '6+81=87', '87-27=60']
Moving to Node #0,4,3,0
Current State: 80:[60], Operations: ['16+27=43', '43-6=37', '97-37=60']
Moving to Node #0,1,0
Current State: 80:[96, 124], Operations: ['16*6=96', '97+27=124']
Exploring Operation: 96+124=220, Resulting Numbers: [220]
220,80 unequal: No Solution
Exploring Operation: 96*124=11904, Resulting Numbers: [11904]
11904,80 unequal: No Solution
Exploring Operation: 124-96=28, Resulting Numbers: [28]
28,80 unequal: No Solution
Moving to Node #0,3,3
Current State: 80:[81, 21], Operations: ['97-16=81', '27-6=21']
Exploring Operation: 81+21=102, Resulting Numbers: [102]
102,80 unequal: No Solution
Exploring Operation: 81-21=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 81*21=1701, Resulting Numbers: [1701]
1701,80 unequal: No Solution
Moving to Node #0,4,4
Current State: 80:[43, 103], Operations: ['16+27=43', '97+6=103']
Exploring Operation: 103-43=60, Resulting Numbers: [60]
60,80 unequal: No Solution
Exploring Operation: 43+103=146, Resulting Numbers: [146]
146,80 unequal: No Solution
Exploring Operation: 43*103=4429, Resulting Numbers: [4429]
4429,80 unequal: No Solution
Moving to Node #0,3,3,0
Current State: 80:[60], Operations: ['97-16=81', '27-6=21', '81-21=60']
Moving to Node #0,4,4,0
Current State: 80:[60], Operations: ['16+27=43', '97+6=103', '103-43=60']
Moving to Node #0,3,3,0
Current State: 80:[102], Operations: ['97-16=81', '27-6=21', '81+21=102']
Moving to Node #0,1,2
Current State: 80:[97, 123], Operations: ['16*6=96', '27+96=123']
Exploring Operation: 97+123=220, Resulting Numbers: [220]
220,80 unequal: No Solution
Exploring Operation: 123-97=26, Resulting Numbers: [26]
26,80 unequal: No Solution
Exploring Operation: 97*123=11931, Resulting Numbers: [11931]
11931,80 unequal: No Solution
Moving to Node #0,3,4,0
Current State: 80:[48], Operations: ['97-16=81', '6+27=33', '81-33=48']
Moving to Node #0,4,2,0
Current State: 80:[48], Operations: ['16+27=43', '6+43=49', '97-49=48']
Moving to Node #0,2,1,0
Current State: 80:[48], Operations: ['16+6=22', '27+22=49', '97-49=48']
Moving to Node #0,0,2,0
Current State: 80:[48], Operations: ['97-6=91', '91-16=75', '75-27=48']
Moving to Node #0,3,0,0
Current State: 80:[48], Operations: ['97-16=81', '81-6=75', '75-27=48']
Moving to Node #0,4,0,0
Current State: 80:[48], Operations: ['16+27=43', '97-6=91', '91-43=48']
Moving to Node #0,2,3,0
Current State: 80:[48], Operations: ['16+6=22', '97-22=75', '75-27=48']
Moving to Node #0,0,0,0
Current State: 80:[48], Operations: ['97-6=91', '16+27=43', '91-43=48']
Moving to Node #0,3,2,0
Current State: 80:[114], Operations: ['97-16=81', '6+81=87', '27+87=114']
Moving to Node #0,2,4
Current State: 80:[22, 70], Operations: ['16+6=22', '97-27=70']
Exploring Operation: 22+70=92, Resulting Numbers: [92]
92,80 unequal: No Solution
Exploring Operation: 22*70=1540, Resulting Numbers: [1540]
1540,80 unequal: No Solution
Exploring Operation: 70-22=48, Resulting Numbers: [48]
48,80 unequal: No Solution
Moving to Node #0,3,4,0
Current State: 80:[114], Operations: ['97-16=81', '6+27=33', '81+33=114']
Moving to Node #0,2,4,0
Current State: 80:[92], Operations: ['16+6=22', '97-27=70', '22+70=92']
Moving to Node #0,2,4,0
Current State: 80:[48], Operations: ['16+6=22', '97-27=70', '70-22=48']
Moving to Node #0,0,4
Current State: 80:[91, 11], Operations: ['97-6=91', '27-16=11']
Exploring Operation: 91*11=1001, Resulting Numbers: [1001]
1001,80 unequal: No Solution
Exploring Operation: 91-11=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.927083 | bfs_5 | Current State: 80:[97, 16, 6, 27], Operations: []
Exploring Operation: 97+16=113, Resulting Numbers: [6, 27, 113]
Generated Node #2: [6, 27, 113] from Operation: 97+16=113
Current State: 80:[6, 27, 113], Operations: ['97+16=113']
Exploring Operation: 6+27=33, Resulting Numbers: [113, 33]
Generated Node #3: [113, 33] from Operation: 6+27=33
Current State: 80:[113, 33], Operations: ['97+16=113', '6+27=33']
Exploring Operation: 113-33=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| sum_heuristic |
[
91,
19,
91,
76
] | 58 | [
"91/91=1",
"76-19=57",
"1+57=58"
] | Current State: 58:[91, 19, 91, 76], Operations: []
Exploring Operation: 76-19=57, Resulting Numbers: [91, 91, 57]
Generated Node #0,0: 58:[91, 91, 57] Operation: 76-19=57
Exploring Operation: 91-19=72, Resulting Numbers: [91, 76, 72]
Generated Node #0,1: 58:[91, 76, 72] Operation: 91-19=72
Exploring Operation: 91-19=72, Resulting Numbers: [91, 76, 72]
Generated Node #0,2: 58:[91, 76, 72] Operation: 91-19=72
Moving to Node #0,1
Current State: 58:[91, 76, 72], Operations: ['91-19=72']
Exploring Operation: 91-76=15, Resulting Numbers: [72, 15]
Generated Node #0,1,0: 58:[72, 15] Operation: 91-76=15
Exploring Operation: 91-72=19, Resulting Numbers: [76, 19]
Generated Node #0,1,1: 58:[76, 19] Operation: 91-72=19
Exploring Operation: 76-72=4, Resulting Numbers: [91, 4]
Generated Node #0,1,2: 58:[91, 4] Operation: 76-72=4
Moving to Node #0,2
Current State: 58:[91, 76, 72], Operations: ['91-19=72']
Exploring Operation: 91-72=19, Resulting Numbers: [76, 19]
Generated Node #0,2,0: 58:[76, 19] Operation: 91-72=19
Exploring Operation: 91-76=15, Resulting Numbers: [72, 15]
Generated Node #0,2,1: 58:[72, 15] Operation: 91-76=15
Exploring Operation: 76-72=4, Resulting Numbers: [91, 4]
Generated Node #0,2,2: 58:[91, 4] Operation: 76-72=4
Moving to Node #0,0
Current State: 58:[91, 91, 57], Operations: ['76-19=57']
Exploring Operation: 91-57=34, Resulting Numbers: [91, 34]
Generated Node #0,0,0: 58:[91, 34] Operation: 91-57=34
Exploring Operation: 91/91=1, Resulting Numbers: [57, 1]
Generated Node #0,0,1: 58:[57, 1] Operation: 91/91=1
Exploring Operation: 91-57=34, Resulting Numbers: [91, 34]
Generated Node #0,0,2: 58:[91, 34] Operation: 91-57=34
Moving to Node #0,1,0
Current State: 58:[72, 15], Operations: ['91-19=72', '91-76=15']
Exploring Operation: 72*15=1080, Resulting Numbers: [1080]
1080,58 unequal: No Solution
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,58 unequal: No Solution
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Moving to Node #0,0,0
Current State: 58:[91, 34], Operations: ['76-19=57', '91-57=34']
Exploring Operation: 91-34=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 91*34=3094, Resulting Numbers: [3094]
3094,58 unequal: No Solution
Exploring Operation: 91+34=125, Resulting Numbers: [125]
125,58 unequal: No Solution
Moving to Node #0,1,1
Current State: 58:[76, 19], Operations: ['91-19=72', '91-72=19']
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,58 unequal: No Solution
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 58:[57], Operations: ['91-19=72', '91-76=15', '72-15=57']
Moving to Node #0,1,1,0
Current State: 58:[57], Operations: ['91-19=72', '91-72=19', '76-19=57']
Moving to Node #0,0,0,0
Current State: 58:[57], Operations: ['76-19=57', '91-57=34', '91-34=57']
Moving to Node #0,2,1
Current State: 58:[72, 15], Operations: ['91-19=72', '91-76=15']
Exploring Operation: 72*15=1080, Resulting Numbers: [1080]
1080,58 unequal: No Solution
Exploring Operation: 72+15=87, Resulting Numbers: [87]
87,58 unequal: No Solution
Exploring Operation: 72-15=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Moving to Node #0,0,2
Current State: 58:[91, 34], Operations: ['76-19=57', '91-57=34']
Exploring Operation: 91*34=3094, Resulting Numbers: [3094]
3094,58 unequal: No Solution
Exploring Operation: 91-34=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 91+34=125, Resulting Numbers: [125]
125,58 unequal: No Solution
Moving to Node #0,2,0
Current State: 58:[76, 19], Operations: ['91-19=72', '91-72=19']
Exploring Operation: 76-19=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 76+19=95, Resulting Numbers: [95]
95,58 unequal: No Solution
Exploring Operation: 76/19=4, Resulting Numbers: [4]
4,58 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 58:[57], Operations: ['91-19=72', '91-76=15', '72-15=57']
Moving to Node #0,0,2,0
Current State: 58:[57], Operations: ['76-19=57', '91-57=34', '91-34=57']
Moving to Node #0,2,0,0
Current State: 58:[57], Operations: ['91-19=72', '91-72=19', '76-19=57']
Moving to Node #0,1,0,0
Current State: 58:[87], Operations: ['91-19=72', '91-76=15', '72+15=87']
Moving to Node #0,2,1,0
Current State: 58:[87], Operations: ['91-19=72', '91-76=15', '72+15=87']
Moving to Node #0,0,1
Current State: 58:[57, 1], Operations: ['76-19=57', '91/91=1']
Exploring Operation: 57/1=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 57*1=57, Resulting Numbers: [57]
57,58 unequal: No Solution
Exploring Operation: 57+1=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 0.970486 | bfs_3 | Current State: 58:[91, 19, 91, 76], Operations: []
Exploring Operation: 91/91=1, Resulting Numbers: [19, 76, 1]
Generated Node #2: [19, 76, 1] from Operation: 91/91=1
Current State: 58:[19, 76, 1], Operations: ['91/91=1']
Exploring Operation: 76-19=57, Resulting Numbers: [1, 57]
Generated Node #3: [1, 57] from Operation: 76-19=57
Current State: 58:[1, 57], Operations: ['91/91=1', '76-19=57']
Exploring Operation: 1+57=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| sum_heuristic |
[
10,
52,
16,
45
] | 71 | [
"52-10=42",
"45-16=29",
"42+29=71"
] | Current State: 71:[10, 52, 16, 45], Operations: []
| 0 | dfs | Current State: 71:[10, 52, 16, 45], Operations: []
Exploring Operation: 52-10=42, Resulting Numbers: [16, 45, 42]
Generated Node #2: [16, 45, 42] from Operation: 52-10=42
Current State: 71:[16, 45, 42], Operations: ['52-10=42']
Exploring Operation: 45-16=29, Resulting Numbers: [42, 29]
Generated Node #3: [42, 29] from Operation: 45-16=29
Current State: 71:[42, 29], Operations: ['52-10=42', '45-16=29']
Exploring Operation: 42+29=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| mult_heuristic |
[
65,
7,
2,
29
] | 80 | [
"65+29=94",
"7*2=14",
"94-14=80"
] | Current State: 80:[65, 7, 2, 29], Operations: []
Exploring Operation: 2*29=58, Resulting Numbers: [65, 7, 58]
Generated Node #0,0: 80:[65, 7, 58] Operation: 2*29=58
Moving to Node #0,0
Current State: 80:[65, 7, 58], Operations: ['2*29=58']
Exploring Operation: 65+7=72, Resulting Numbers: [58, 72]
Generated Node #0,0,0: 80:[58, 72] Operation: 65+7=72
Moving to Node #0,0,0
Current State: 80:[58, 72], Operations: ['2*29=58', '65+7=72']
Exploring Operation: 58+72=130, Resulting Numbers: [130]
130,80 unequal: No Solution
Moving to Node #0,0,0
Current State: 80:[58, 72], Operations: ['2*29=58', '65+7=72']
Exploring Operation: 72-58=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,0
Current State: 80:[65, 7, 58], Operations: ['2*29=58']
Exploring Operation: 7+58=65, Resulting Numbers: [65, 65]
Generated Node #0,0,1: 80:[65, 65] Operation: 7+58=65
Moving to Node #0,0,1
Current State: 80:[65, 65], Operations: ['2*29=58', '7+58=65']
Exploring Operation: 65+65=130, Resulting Numbers: [130]
130,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[65, 65], Operations: ['2*29=58', '7+58=65']
Exploring Operation: 65/65=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Moving to Node #0,0,1
Current State: 80:[65, 65], Operations: ['2*29=58', '7+58=65']
Exploring Operation: 65-65=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Moving to Node #0,0
Current State: 80:[65, 7, 58], Operations: ['2*29=58']
Exploring Operation: 65-7=58, Resulting Numbers: [58, 58]
Generated Node #0,0,2: 80:[58, 58] Operation: 65-7=58
Moving to Node #0,0,2
Current State: 80:[58, 58], Operations: ['2*29=58', '65-7=58']
Exploring Operation: 58+58=116, Resulting Numbers: [116]
116,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[58, 58], Operations: ['2*29=58', '65-7=58']
Exploring Operation: 58/58=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Moving to Node #0,0,2
Current State: 80:[58, 58], Operations: ['2*29=58', '65-7=58']
Exploring Operation: 58-58=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Moving to Node #0,0
Current State: 80:[65, 7, 58], Operations: ['2*29=58']
Exploring Operation: 58-7=51, Resulting Numbers: [65, 51]
Generated Node #0,0,3: 80:[65, 51] Operation: 58-7=51
Moving to Node #0,0,3
Current State: 80:[65, 51], Operations: ['2*29=58', '58-7=51']
Exploring Operation: 65+51=116, Resulting Numbers: [116]
116,80 unequal: No Solution
Moving to Node #0,0,3
Current State: 80:[65, 51], Operations: ['2*29=58', '58-7=51']
Exploring Operation: 65-51=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,0
Current State: 80:[65, 7, 58], Operations: ['2*29=58']
Exploring Operation: 65+58=123, Resulting Numbers: [7, 123]
Generated Node #0,0,4: 80:[7, 123] Operation: 65+58=123
Moving to Node #0,0,4
Current State: 80:[7, 123], Operations: ['2*29=58', '65+58=123']
Exploring Operation: 123-7=116, Resulting Numbers: [116]
116,80 unequal: No Solution
Moving to Node #0,0,4
Current State: 80:[7, 123], Operations: ['2*29=58', '65+58=123']
Exploring Operation: 7+123=130, Resulting Numbers: [130]
130,80 unequal: No Solution
Moving to Node #0,0
Current State: 80:[65, 7, 58], Operations: ['2*29=58']
Exploring Operation: 65-58=7, Resulting Numbers: [7, 7]
Generated Node #0,0,5: 80:[7, 7] Operation: 65-58=7
Moving to Node #0,0,5
Current State: 80:[7, 7], Operations: ['2*29=58', '65-58=7']
Exploring Operation: 7*7=49, Resulting Numbers: [49]
49,80 unequal: No Solution
Moving to Node #0,0,5
Current State: 80:[7, 7], Operations: ['2*29=58', '65-58=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14]
14,80 unequal: No Solution
Moving to Node #0,0,5
Current State: 80:[7, 7], Operations: ['2*29=58', '65-58=7']
Exploring Operation: 7/7=1, Resulting Numbers: [1]
1,80 unequal: No Solution
Moving to Node #0,0,5
Current State: 80:[7, 7], Operations: ['2*29=58', '65-58=7']
Exploring Operation: 7-7=0, Resulting Numbers: [0]
0,80 unequal: No Solution
Moving to Node #0
Current State: 80:[65, 7, 2, 29], Operations: []
Exploring Operation: 7*2=14, Resulting Numbers: [65, 29, 14]
Generated Node #0,1: 80:[65, 29, 14] Operation: 7*2=14
Moving to Node #0,1
Current State: 80:[65, 29, 14], Operations: ['7*2=14']
Exploring Operation: 65+14=79, Resulting Numbers: [29, 79]
Generated Node #0,1,0: 80:[29, 79] Operation: 65+14=79
Moving to Node #0,1,0
Current State: 80:[29, 79], Operations: ['7*2=14', '65+14=79']
Exploring Operation: 29+79=108, Resulting Numbers: [108]
108,80 unequal: No Solution
Moving to Node #0,1,0
Current State: 80:[29, 79], Operations: ['7*2=14', '65+14=79']
Exploring Operation: 79-29=50, Resulting Numbers: [50]
50,80 unequal: No Solution
Moving to Node #0,1
Current State: 80:[65, 29, 14], Operations: ['7*2=14']
Exploring Operation: 29+14=43, Resulting Numbers: [65, 43]
Generated Node #0,1,1: 80:[65, 43] Operation: 29+14=43
Moving to Node #0,1,1
Current State: 80:[65, 43], Operations: ['7*2=14', '29+14=43']
Exploring Operation: 65+43=108, Resulting Numbers: [108]
108,80 unequal: No Solution
Moving to Node #0,1,1
Current State: 80:[65, 43], Operations: ['7*2=14', '29+14=43']
Exploring Operation: 65-43=22, Resulting Numbers: [22]
22,80 unequal: No Solution
Moving to Node #0,1
Current State: 80:[65, 29, 14], Operations: ['7*2=14']
Exploring Operation: 65+29=94, Resulting Numbers: [14, 94]
Generated Node #0,1,2: 80:[14, 94] Operation: 65+29=94
Moving to Node #0,1,2
Current State: 80:[14, 94], Operations: ['7*2=14', '65+29=94']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.971354 | dfs | Current State: 80:[65, 7, 2, 29], Operations: []
Exploring Operation: 65+29=94, Resulting Numbers: [7, 2, 94]
Generated Node #2: [7, 2, 94] from Operation: 65+29=94
Current State: 80:[7, 2, 94], Operations: ['65+29=94']
Exploring Operation: 7*2=14, Resulting Numbers: [94, 14]
Generated Node #3: [94, 14] from Operation: 7*2=14
Current State: 80:[94, 14], Operations: ['65+29=94', '7*2=14']
Exploring Operation: 94-14=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| sum_heuristic |
[
37,
98,
77,
20
] | 78 | [
"37+98=135",
"77-20=57",
"135-57=78"
] | Current State: 78:[37, 98, 77, 20], Operations: []
Exploring Operation: 98-20=78, Resulting Numbers: [37, 77, 78]
Generated Node #0,0: 78:[37, 77, 78] Operation: 98-20=78
Moving to Node #0,0
Current State: 78:[37, 77, 78], Operations: ['98-20=78']
Exploring Operation: 77-37=40, Resulting Numbers: [78, 40]
Generated Node #0,0,0: 78:[78, 40] Operation: 77-37=40
Moving to Node #0,0,0
Current State: 78:[78, 40], Operations: ['98-20=78', '77-37=40']
Exploring Operation: 78-40=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[78, 40], Operations: ['98-20=78', '77-37=40']
Exploring Operation: 78+40=118, Resulting Numbers: [118]
118,78 unequal: No Solution
Moving to Node #0,0
Current State: 78:[37, 77, 78], Operations: ['98-20=78']
Exploring Operation: 78-37=41, Resulting Numbers: [77, 41]
Generated Node #0,0,1: 78:[77, 41] Operation: 78-37=41
Moving to Node #0,0,1
Current State: 78:[77, 41], Operations: ['98-20=78', '78-37=41']
Exploring Operation: 77-41=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Moving to Node #0,0,1
Current State: 78:[77, 41], Operations: ['98-20=78', '78-37=41']
Exploring Operation: 77+41=118, Resulting Numbers: [118]
118,78 unequal: No Solution
Moving to Node #0,0
Current State: 78:[37, 77, 78], Operations: ['98-20=78']
Exploring Operation: 78-77=1, Resulting Numbers: [37, 1]
Generated Node #0,0,2: 78:[37, 1] Operation: 78-77=1
Moving to Node #0,0,2
Current State: 78:[37, 1], Operations: ['98-20=78', '78-77=1']
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[37, 1], Operations: ['98-20=78', '78-77=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[37, 1], Operations: ['98-20=78', '78-77=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Moving to Node #0,0,2
Current State: 78:[37, 1], Operations: ['98-20=78', '78-77=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Moving to Node #0,0
Current State: 78:[37, 77, 78], Operations: ['98-20=78']
Exploring Operation: 37+77=114, Resulting Numbers: [78, 114]
Generated Node #0,0,3: 78:[78, 114] Operation: 37+77=114
Moving to Node #0,0,3
Current State: 78:[78, 114], Operations: ['98-20=78', '37+77=114']
Exploring Operation: 114-78=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Moving to Node #0,0
Current State: 78:[37, 77, 78], Operations: ['98-20=78']
Exploring Operation: 37+78=115, Resulting Numbers: [77, 115]
Generated Node #0,0,4: 78:[77, 115] Operation: 37+78=115
Moving to Node #0,0,4
Current State: 78:[77, 115], Operations: ['98-20=78', '37+78=115']
Exploring Operation: 115-77=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Moving to Node #0
Current State: 78:[37, 98, 77, 20], Operations: []
Exploring Operation: 98-77=21, Resulting Numbers: [37, 20, 21]
Generated Node #0,1: 78:[37, 20, 21] Operation: 98-77=21
Moving to Node #0,1
Current State: 78:[37, 20, 21], Operations: ['98-77=21']
Exploring Operation: 21-20=1, Resulting Numbers: [37, 1]
Generated Node #0,1,0: 78:[37, 1] Operation: 21-20=1
Moving to Node #0,1,0
Current State: 78:[37, 1], Operations: ['98-77=21', '21-20=1']
Exploring Operation: 37+1=38, Resulting Numbers: [38]
38,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[37, 1], Operations: ['98-77=21', '21-20=1']
Exploring Operation: 37*1=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[37, 1], Operations: ['98-77=21', '21-20=1']
Exploring Operation: 37/1=37, Resulting Numbers: [37]
37,78 unequal: No Solution
Moving to Node #0,1,0
Current State: 78:[37, 1], Operations: ['98-77=21', '21-20=1']
Exploring Operation: 37-1=36, Resulting Numbers: [36]
36,78 unequal: No Solution
Moving to Node #0,1
Current State: 78:[37, 20, 21], Operations: ['98-77=21']
Exploring Operation: 20+21=41, Resulting Numbers: [37, 41]
Generated Node #0,1,1: 78:[37, 41] Operation: 20+21=41
Moving to Node #0,1,1
Current State: 78:[37, 41], Operations: ['98-77=21', '20+21=41']
Exploring Operation: 37+41=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.978299 | dfs | Current State: 78:[37, 98, 77, 20], Operations: []
Exploring Operation: 37+98=135, Resulting Numbers: [77, 20, 135]
Generated Node #2: [77, 20, 135] from Operation: 37+98=135
Current State: 78:[77, 20, 135], Operations: ['37+98=135']
Exploring Operation: 77-20=57, Resulting Numbers: [135, 57]
Generated Node #3: [135, 57] from Operation: 77-20=57
Current State: 78:[135, 57], Operations: ['37+98=135', '77-20=57']
Exploring Operation: 135-57=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| mult_heuristic |
[
49,
47,
1,
24
] | 27 | [
"49-47=2",
"1+24=25",
"2+25=27"
] | Current State: 27:[49, 47, 1, 24], Operations: []
Exploring Operation: 49-1=48, Resulting Numbers: [47, 24, 48]
Generated Node #0,0: 27:[47, 24, 48] Operation: 49-1=48
Exploring Operation: 49-24=25, Resulting Numbers: [47, 1, 25]
Generated Node #0,1: 27:[47, 1, 25] Operation: 49-24=25
Exploring Operation: 47-24=23, Resulting Numbers: [49, 1, 23]
Generated Node #0,2: 27:[49, 1, 23] Operation: 47-24=23
Exploring Operation: 49-47=2, Resulting Numbers: [1, 24, 2]
Generated Node #0,3: 27:[1, 24, 2] Operation: 49-47=2
Moving to Node #0,3
Current State: 27:[1, 24, 2], Operations: ['49-47=2']
Exploring Operation: 1+2=3, Resulting Numbers: [24, 3]
Generated Node #0,3,0: 27:[24, 3] Operation: 1+2=3
Exploring Operation: 24+2=26, Resulting Numbers: [1, 26]
Generated Node #0,3,1: 27:[1, 26] Operation: 24+2=26
Exploring Operation: 1*24=24, Resulting Numbers: [2, 24]
Generated Node #0,3,2: 27:[2, 24] Operation: 1*24=24
Exploring Operation: 1+24=25, Resulting Numbers: [2, 25]
Generated Node #0,3,3: 27:[2, 25] Operation: 1+24=25
Moving to Node #0,1
Current State: 27:[47, 1, 25], Operations: ['49-24=25']
Exploring Operation: 1+25=26, Resulting Numbers: [47, 26]
Generated Node #0,1,0: 27:[47, 26] Operation: 1+25=26
Exploring Operation: 47-1=46, Resulting Numbers: [25, 46]
Generated Node #0,1,1: 27:[25, 46] Operation: 47-1=46
Exploring Operation: 47-25=22, Resulting Numbers: [1, 22]
Generated Node #0,1,2: 27:[1, 22] Operation: 47-25=22
Exploring Operation: 47*1=47, Resulting Numbers: [25, 47]
Generated Node #0,1,3: 27:[25, 47] Operation: 47*1=47
Moving to Node #0,2
Current State: 27:[49, 1, 23], Operations: ['47-24=23']
Exploring Operation: 49-23=26, Resulting Numbers: [1, 26]
Generated Node #0,2,0: 27:[1, 26] Operation: 49-23=26
Exploring Operation: 1+23=24, Resulting Numbers: [49, 24]
Generated Node #0,2,1: 27:[49, 24] Operation: 1+23=24
Exploring Operation: 49*1=49, Resulting Numbers: [23, 49]
Generated Node #0,2,2: 27:[23, 49] Operation: 49*1=49
Exploring Operation: 49-1=48, Resulting Numbers: [23, 48]
Generated Node #0,2,3: 27:[23, 48] Operation: 49-1=48
Moving to Node #0,0
Current State: 27:[47, 24, 48], Operations: ['49-1=48']
Exploring Operation: 48/24=2, Resulting Numbers: [47, 2]
Generated Node #0,0,0: 27:[47, 2] Operation: 48/24=2
Exploring Operation: 48-24=24, Resulting Numbers: [47, 24]
Generated Node #0,0,1: 27:[47, 24] Operation: 48-24=24
Exploring Operation: 48-47=1, Resulting Numbers: [24, 1]
Generated Node #0,0,2: 27:[24, 1] Operation: 48-47=1
Exploring Operation: 47-24=23, Resulting Numbers: [48, 23]
Generated Node #0,0,3: 27:[48, 23] Operation: 47-24=23
Moving to Node #0,3,0
Current State: 27:[24, 3], Operations: ['49-47=2', '1+2=3']
Exploring Operation: 24-3=21, Resulting Numbers: [21]
21,27 unequal: No Solution
Exploring Operation: 24/3=8, Resulting Numbers: [8]
8,27 unequal: No Solution
Exploring Operation: 24+3=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.979167 | bfs_4 | Current State: 27:[49, 47, 1, 24], Operations: []
Exploring Operation: 49-47=2, Resulting Numbers: [1, 24, 2]
Generated Node #2: [1, 24, 2] from Operation: 49-47=2
Current State: 27:[1, 24, 2], Operations: ['49-47=2']
Exploring Operation: 1+24=25, Resulting Numbers: [2, 25]
Generated Node #3: [2, 25] from Operation: 1+24=25
Current State: 27:[2, 25], Operations: ['49-47=2', '1+24=25']
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| mult_heuristic |
[
53,
10,
93,
90
] | 86 | [
"93-53=40",
"40/10=4",
"90-4=86"
] | Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 53+10=63, Resulting Numbers: [93, 90, 63]
Generated Node #0,0: 86:[93, 90, 63] Operation: 53+10=63
Moving to Node #0,0
Current State: 86:[93, 90, 63], Operations: ['53+10=63']
Exploring Operation: 93-63=30, Resulting Numbers: [90, 30]
Generated Node #0,0,0: 86:[90, 30] Operation: 93-63=30
Moving to Node #0,0,0
Current State: 86:[90, 30], Operations: ['53+10=63', '93-63=30']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[90, 30], Operations: ['53+10=63', '93-63=30']
Exploring Operation: 90+30=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,0,0
Current State: 86:[90, 30], Operations: ['53+10=63', '93-63=30']
Exploring Operation: 90/30=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Moving to Node #0,0
Current State: 86:[93, 90, 63], Operations: ['53+10=63']
Exploring Operation: 90-63=27, Resulting Numbers: [93, 27]
Generated Node #0,0,1: 86:[93, 27] Operation: 90-63=27
Moving to Node #0,0,1
Current State: 86:[93, 27], Operations: ['53+10=63', '90-63=27']
Exploring Operation: 93-27=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,0,1
Current State: 86:[93, 27], Operations: ['53+10=63', '90-63=27']
Exploring Operation: 93+27=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,0
Current State: 86:[93, 90, 63], Operations: ['53+10=63']
Exploring Operation: 93+63=156, Resulting Numbers: [90, 156]
Generated Node #0,0,2: 86:[90, 156] Operation: 93+63=156
Moving to Node #0,0,2
Current State: 86:[90, 156], Operations: ['53+10=63', '93+63=156']
Exploring Operation: 156-90=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,0
Current State: 86:[93, 90, 63], Operations: ['53+10=63']
Exploring Operation: 90+63=153, Resulting Numbers: [93, 153]
Generated Node #0,0,3: 86:[93, 153] Operation: 90+63=153
Moving to Node #0,0,3
Current State: 86:[93, 153], Operations: ['53+10=63', '90+63=153']
Exploring Operation: 153-93=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,0
Current State: 86:[93, 90, 63], Operations: ['53+10=63']
Exploring Operation: 93-90=3, Resulting Numbers: [63, 3]
Generated Node #0,0,4: 86:[63, 3] Operation: 93-90=3
Moving to Node #0,0,4
Current State: 86:[63, 3], Operations: ['53+10=63', '93-90=3']
Exploring Operation: 63+3=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,0,4
Current State: 86:[63, 3], Operations: ['53+10=63', '93-90=3']
Exploring Operation: 63-3=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,0,4
Current State: 86:[63, 3], Operations: ['53+10=63', '93-90=3']
Exploring Operation: 63/3=21, Resulting Numbers: [21]
21,86 unequal: No Solution
Moving to Node #0,0
Current State: 86:[93, 90, 63], Operations: ['53+10=63']
Exploring Operation: 93+90=183, Resulting Numbers: [63, 183]
Generated Node #0,0,5: 86:[63, 183] Operation: 93+90=183
Moving to Node #0,0,5
Current State: 86:[63, 183], Operations: ['53+10=63', '93+90=183']
Exploring Operation: 183-63=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0
Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 93-10=83, Resulting Numbers: [53, 90, 83]
Generated Node #0,1: 86:[53, 90, 83] Operation: 93-10=83
Moving to Node #0,1
Current State: 86:[53, 90, 83], Operations: ['93-10=83']
Exploring Operation: 90-53=37, Resulting Numbers: [83, 37]
Generated Node #0,1,0: 86:[83, 37] Operation: 90-53=37
Moving to Node #0,1,0
Current State: 86:[83, 37], Operations: ['93-10=83', '90-53=37']
Exploring Operation: 83+37=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,1,0
Current State: 86:[83, 37], Operations: ['93-10=83', '90-53=37']
Exploring Operation: 83-37=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,1
Current State: 86:[53, 90, 83], Operations: ['93-10=83']
Exploring Operation: 53+83=136, Resulting Numbers: [90, 136]
Generated Node #0,1,1: 86:[90, 136] Operation: 53+83=136
Moving to Node #0,1,1
Current State: 86:[90, 136], Operations: ['93-10=83', '53+83=136']
Exploring Operation: 136-90=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,1
Current State: 86:[53, 90, 83], Operations: ['93-10=83']
Exploring Operation: 53+90=143, Resulting Numbers: [83, 143]
Generated Node #0,1,2: 86:[83, 143] Operation: 53+90=143
Moving to Node #0,1,2
Current State: 86:[83, 143], Operations: ['93-10=83', '53+90=143']
Exploring Operation: 143-83=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,1
Current State: 86:[53, 90, 83], Operations: ['93-10=83']
Exploring Operation: 83-53=30, Resulting Numbers: [90, 30]
Generated Node #0,1,3: 86:[90, 30] Operation: 83-53=30
Moving to Node #0,1,3
Current State: 86:[90, 30], Operations: ['93-10=83', '83-53=30']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[90, 30], Operations: ['93-10=83', '83-53=30']
Exploring Operation: 90+30=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,1,3
Current State: 86:[90, 30], Operations: ['93-10=83', '83-53=30']
Exploring Operation: 90/30=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Moving to Node #0,1
Current State: 86:[53, 90, 83], Operations: ['93-10=83']
Exploring Operation: 90-83=7, Resulting Numbers: [53, 7]
Generated Node #0,1,4: 86:[53, 7] Operation: 90-83=7
Moving to Node #0,1,4
Current State: 86:[53, 7], Operations: ['93-10=83', '90-83=7']
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,1,4
Current State: 86:[53, 7], Operations: ['93-10=83', '90-83=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,1
Current State: 86:[53, 90, 83], Operations: ['93-10=83']
Exploring Operation: 90+83=173, Resulting Numbers: [53, 173]
Generated Node #0,1,5: 86:[53, 173] Operation: 90+83=173
Moving to Node #0,1,5
Current State: 86:[53, 173], Operations: ['93-10=83', '90+83=173']
Exploring Operation: 173-53=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0
Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 90-10=80, Resulting Numbers: [53, 93, 80]
Generated Node #0,2: 86:[53, 93, 80] Operation: 90-10=80
Moving to Node #0,2
Current State: 86:[53, 93, 80], Operations: ['90-10=80']
Exploring Operation: 93-53=40, Resulting Numbers: [80, 40]
Generated Node #0,2,0: 86:[80, 40] Operation: 93-53=40
Moving to Node #0,2,0
Current State: 86:[80, 40], Operations: ['90-10=80', '93-53=40']
Exploring Operation: 80+40=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[80, 40], Operations: ['90-10=80', '93-53=40']
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,2,0
Current State: 86:[80, 40], Operations: ['90-10=80', '93-53=40']
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,2
Current State: 86:[53, 93, 80], Operations: ['90-10=80']
Exploring Operation: 53+80=133, Resulting Numbers: [93, 133]
Generated Node #0,2,1: 86:[93, 133] Operation: 53+80=133
Moving to Node #0,2,1
Current State: 86:[93, 133], Operations: ['90-10=80', '53+80=133']
Exploring Operation: 133-93=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,2
Current State: 86:[53, 93, 80], Operations: ['90-10=80']
Exploring Operation: 53+93=146, Resulting Numbers: [80, 146]
Generated Node #0,2,2: 86:[80, 146] Operation: 53+93=146
Moving to Node #0,2,2
Current State: 86:[80, 146], Operations: ['90-10=80', '53+93=146']
Exploring Operation: 146-80=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,2
Current State: 86:[53, 93, 80], Operations: ['90-10=80']
Exploring Operation: 80-53=27, Resulting Numbers: [93, 27]
Generated Node #0,2,3: 86:[93, 27] Operation: 80-53=27
Moving to Node #0,2,3
Current State: 86:[93, 27], Operations: ['90-10=80', '80-53=27']
Exploring Operation: 93-27=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,2,3
Current State: 86:[93, 27], Operations: ['90-10=80', '80-53=27']
Exploring Operation: 93+27=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,2
Current State: 86:[53, 93, 80], Operations: ['90-10=80']
Exploring Operation: 93-80=13, Resulting Numbers: [53, 13]
Generated Node #0,2,4: 86:[53, 13] Operation: 93-80=13
Moving to Node #0,2,4
Current State: 86:[53, 13], Operations: ['90-10=80', '93-80=13']
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,2,4
Current State: 86:[53, 13], Operations: ['90-10=80', '93-80=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,2
Current State: 86:[53, 93, 80], Operations: ['90-10=80']
Exploring Operation: 93+80=173, Resulting Numbers: [53, 173]
Generated Node #0,2,5: 86:[53, 173] Operation: 93+80=173
Moving to Node #0,2,5
Current State: 86:[53, 173], Operations: ['90-10=80', '93+80=173']
Exploring Operation: 173-53=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0
Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 53-10=43, Resulting Numbers: [93, 90, 43]
Generated Node #0,3: 86:[93, 90, 43] Operation: 53-10=43
Moving to Node #0,3
Current State: 86:[93, 90, 43], Operations: ['53-10=43']
Exploring Operation: 93-43=50, Resulting Numbers: [90, 50]
Generated Node #0,3,0: 86:[90, 50] Operation: 93-43=50
Moving to Node #0,3,0
Current State: 86:[90, 50], Operations: ['53-10=43', '93-43=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,3,0
Current State: 86:[90, 50], Operations: ['53-10=43', '93-43=50']
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,3
Current State: 86:[93, 90, 43], Operations: ['53-10=43']
Exploring Operation: 90-43=47, Resulting Numbers: [93, 47]
Generated Node #0,3,1: 86:[93, 47] Operation: 90-43=47
Moving to Node #0,3,1
Current State: 86:[93, 47], Operations: ['53-10=43', '90-43=47']
Exploring Operation: 93-47=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,3,1
Current State: 86:[93, 47], Operations: ['53-10=43', '90-43=47']
Exploring Operation: 93+47=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,3
Current State: 86:[93, 90, 43], Operations: ['53-10=43']
Exploring Operation: 93+43=136, Resulting Numbers: [90, 136]
Generated Node #0,3,2: 86:[90, 136] Operation: 93+43=136
Moving to Node #0,3,2
Current State: 86:[90, 136], Operations: ['53-10=43', '93+43=136']
Exploring Operation: 136-90=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,3
Current State: 86:[93, 90, 43], Operations: ['53-10=43']
Exploring Operation: 90+43=133, Resulting Numbers: [93, 133]
Generated Node #0,3,3: 86:[93, 133] Operation: 90+43=133
Moving to Node #0,3,3
Current State: 86:[93, 133], Operations: ['53-10=43', '90+43=133']
Exploring Operation: 133-93=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,3
Current State: 86:[93, 90, 43], Operations: ['53-10=43']
Exploring Operation: 93-90=3, Resulting Numbers: [43, 3]
Generated Node #0,3,4: 86:[43, 3] Operation: 93-90=3
Moving to Node #0,3,4
Current State: 86:[43, 3], Operations: ['53-10=43', '93-90=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,3,4
Current State: 86:[43, 3], Operations: ['53-10=43', '93-90=3']
Exploring Operation: 43*3=129, Resulting Numbers: [129]
129,86 unequal: No Solution
Moving to Node #0,3,4
Current State: 86:[43, 3], Operations: ['53-10=43', '93-90=3']
Exploring Operation: 43-3=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,3
Current State: 86:[93, 90, 43], Operations: ['53-10=43']
Exploring Operation: 93+90=183, Resulting Numbers: [43, 183]
Generated Node #0,3,5: 86:[43, 183] Operation: 93+90=183
Moving to Node #0,3,5
Current State: 86:[43, 183], Operations: ['53-10=43', '93+90=183']
Exploring Operation: 183-43=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0
Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 10+93=103, Resulting Numbers: [53, 90, 103]
Generated Node #0,4: 86:[53, 90, 103] Operation: 10+93=103
Moving to Node #0,4
Current State: 86:[53, 90, 103], Operations: ['10+93=103']
Exploring Operation: 103-53=50, Resulting Numbers: [90, 50]
Generated Node #0,4,0: 86:[90, 50] Operation: 103-53=50
Moving to Node #0,4,0
Current State: 86:[90, 50], Operations: ['10+93=103', '103-53=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,4,0
Current State: 86:[90, 50], Operations: ['10+93=103', '103-53=50']
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,4
Current State: 86:[53, 90, 103], Operations: ['10+93=103']
Exploring Operation: 90-53=37, Resulting Numbers: [103, 37]
Generated Node #0,4,1: 86:[103, 37] Operation: 90-53=37
Moving to Node #0,4,1
Current State: 86:[103, 37], Operations: ['10+93=103', '90-53=37']
Exploring Operation: 103-37=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,4,1
Current State: 86:[103, 37], Operations: ['10+93=103', '90-53=37']
Exploring Operation: 103+37=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,4
Current State: 86:[53, 90, 103], Operations: ['10+93=103']
Exploring Operation: 53+90=143, Resulting Numbers: [103, 143]
Generated Node #0,4,2: 86:[103, 143] Operation: 53+90=143
Moving to Node #0,4,2
Current State: 86:[103, 143], Operations: ['10+93=103', '53+90=143']
Exploring Operation: 143-103=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,4
Current State: 86:[53, 90, 103], Operations: ['10+93=103']
Exploring Operation: 53+103=156, Resulting Numbers: [90, 156]
Generated Node #0,4,3: 86:[90, 156] Operation: 53+103=156
Moving to Node #0,4,3
Current State: 86:[90, 156], Operations: ['10+93=103', '53+103=156']
Exploring Operation: 156-90=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,4
Current State: 86:[53, 90, 103], Operations: ['10+93=103']
Exploring Operation: 103-90=13, Resulting Numbers: [53, 13]
Generated Node #0,4,4: 86:[53, 13] Operation: 103-90=13
Moving to Node #0,4,4
Current State: 86:[53, 13], Operations: ['10+93=103', '103-90=13']
Exploring Operation: 53+13=66, Resulting Numbers: [66]
66,86 unequal: No Solution
Moving to Node #0,4,4
Current State: 86:[53, 13], Operations: ['10+93=103', '103-90=13']
Exploring Operation: 53-13=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,4
Current State: 86:[53, 90, 103], Operations: ['10+93=103']
Exploring Operation: 90+103=193, Resulting Numbers: [53, 193]
Generated Node #0,4,5: 86:[53, 193] Operation: 90+103=193
Moving to Node #0,4,5
Current State: 86:[53, 193], Operations: ['10+93=103', '90+103=193']
Exploring Operation: 193-53=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0
Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 10+90=100, Resulting Numbers: [53, 93, 100]
Generated Node #0,5: 86:[53, 93, 100] Operation: 10+90=100
Moving to Node #0,5
Current State: 86:[53, 93, 100], Operations: ['10+90=100']
Exploring Operation: 100-53=47, Resulting Numbers: [93, 47]
Generated Node #0,5,0: 86:[93, 47] Operation: 100-53=47
Moving to Node #0,5,0
Current State: 86:[93, 47], Operations: ['10+90=100', '100-53=47']
Exploring Operation: 93-47=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,5,0
Current State: 86:[93, 47], Operations: ['10+90=100', '100-53=47']
Exploring Operation: 93+47=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,5
Current State: 86:[53, 93, 100], Operations: ['10+90=100']
Exploring Operation: 93-53=40, Resulting Numbers: [100, 40]
Generated Node #0,5,1: 86:[100, 40] Operation: 93-53=40
Moving to Node #0,5,1
Current State: 86:[100, 40], Operations: ['10+90=100', '93-53=40']
Exploring Operation: 100-40=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,5,1
Current State: 86:[100, 40], Operations: ['10+90=100', '93-53=40']
Exploring Operation: 100+40=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,5
Current State: 86:[53, 93, 100], Operations: ['10+90=100']
Exploring Operation: 53+93=146, Resulting Numbers: [100, 146]
Generated Node #0,5,2: 86:[100, 146] Operation: 53+93=146
Moving to Node #0,5,2
Current State: 86:[100, 146], Operations: ['10+90=100', '53+93=146']
Exploring Operation: 146-100=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,5
Current State: 86:[53, 93, 100], Operations: ['10+90=100']
Exploring Operation: 53+100=153, Resulting Numbers: [93, 153]
Generated Node #0,5,3: 86:[93, 153] Operation: 53+100=153
Moving to Node #0,5,3
Current State: 86:[93, 153], Operations: ['10+90=100', '53+100=153']
Exploring Operation: 153-93=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,5
Current State: 86:[53, 93, 100], Operations: ['10+90=100']
Exploring Operation: 100-93=7, Resulting Numbers: [53, 7]
Generated Node #0,5,4: 86:[53, 7] Operation: 100-93=7
Moving to Node #0,5,4
Current State: 86:[53, 7], Operations: ['10+90=100', '100-93=7']
Exploring Operation: 53+7=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,5,4
Current State: 86:[53, 7], Operations: ['10+90=100', '100-93=7']
Exploring Operation: 53-7=46, Resulting Numbers: [46]
46,86 unequal: No Solution
Moving to Node #0,5
Current State: 86:[53, 93, 100], Operations: ['10+90=100']
Exploring Operation: 93+100=193, Resulting Numbers: [53, 193]
Generated Node #0,5,5: 86:[53, 193] Operation: 93+100=193
Moving to Node #0,5,5
Current State: 86:[53, 193], Operations: ['10+90=100', '93+100=193']
Exploring Operation: 193-53=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0
Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 90/10=9, Resulting Numbers: [53, 93, 9]
Generated Node #0,6: 86:[53, 93, 9] Operation: 90/10=9
Moving to Node #0,6
Current State: 86:[53, 93, 9], Operations: ['90/10=9']
Exploring Operation: 53+9=62, Resulting Numbers: [93, 62]
Generated Node #0,6,0: 86:[93, 62] Operation: 53+9=62
Moving to Node #0,6,0
Current State: 86:[93, 62], Operations: ['90/10=9', '53+9=62']
Exploring Operation: 93-62=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Moving to Node #0,6,0
Current State: 86:[93, 62], Operations: ['90/10=9', '53+9=62']
Exploring Operation: 93+62=155, Resulting Numbers: [155]
155,86 unequal: No Solution
Moving to Node #0,6
Current State: 86:[53, 93, 9], Operations: ['90/10=9']
Exploring Operation: 93-9=84, Resulting Numbers: [53, 84]
Generated Node #0,6,1: 86:[53, 84] Operation: 93-9=84
Moving to Node #0,6,1
Current State: 86:[53, 84], Operations: ['90/10=9', '93-9=84']
Exploring Operation: 53+84=137, Resulting Numbers: [137]
137,86 unequal: No Solution
Moving to Node #0,6,1
Current State: 86:[53, 84], Operations: ['90/10=9', '93-9=84']
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Moving to Node #0,6
Current State: 86:[53, 93, 9], Operations: ['90/10=9']
Exploring Operation: 53-9=44, Resulting Numbers: [93, 44]
Generated Node #0,6,2: 86:[93, 44] Operation: 53-9=44
Moving to Node #0,6,2
Current State: 86:[93, 44], Operations: ['90/10=9', '53-9=44']
Exploring Operation: 93-44=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Moving to Node #0,6,2
Current State: 86:[93, 44], Operations: ['90/10=9', '53-9=44']
Exploring Operation: 93+44=137, Resulting Numbers: [137]
137,86 unequal: No Solution
Moving to Node #0,6
Current State: 86:[53, 93, 9], Operations: ['90/10=9']
Exploring Operation: 93+9=102, Resulting Numbers: [53, 102]
Generated Node #0,6,3: 86:[53, 102] Operation: 93+9=102
Moving to Node #0,6,3
Current State: 86:[53, 102], Operations: ['90/10=9', '93+9=102']
Exploring Operation: 102-53=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Moving to Node #0,6,3
Current State: 86:[53, 102], Operations: ['90/10=9', '93+9=102']
Exploring Operation: 53+102=155, Resulting Numbers: [155]
155,86 unequal: No Solution
Moving to Node #0,6
Current State: 86:[53, 93, 9], Operations: ['90/10=9']
Exploring Operation: 93-53=40, Resulting Numbers: [9, 40]
Generated Node #0,6,4: 86:[9, 40] Operation: 93-53=40
Moving to Node #0,6,4
Current State: 86:[9, 40], Operations: ['90/10=9', '93-53=40']
Exploring Operation: 9+40=49, Resulting Numbers: [49]
49,86 unequal: No Solution
Moving to Node #0,6,4
Current State: 86:[9, 40], Operations: ['90/10=9', '93-53=40']
Exploring Operation: 40-9=31, Resulting Numbers: [31]
31,86 unequal: No Solution
Moving to Node #0,6
Current State: 86:[53, 93, 9], Operations: ['90/10=9']
Exploring Operation: 53+93=146, Resulting Numbers: [9, 146]
Generated Node #0,6,5: 86:[9, 146] Operation: 53+93=146
Moving to Node #0,6,5
Current State: 86:[9, 146], Operations: ['90/10=9', '53+93=146']
Exploring Operation: 146-9=137, Resulting Numbers: [137]
137,86 unequal: No Solution
Moving to Node #0,6,5
Current State: 86:[9, 146], Operations: ['90/10=9', '53+93=146']
Exploring Operation: 9+146=155, Resulting Numbers: [155]
155,86 unequal: No Solution
Moving to Node #0
Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 93-53=40, Resulting Numbers: [10, 90, 40]
Generated Node #0,7: 86:[10, 90, 40] Operation: 93-53=40
Moving to Node #0,7
Current State: 86:[10, 90, 40], Operations: ['93-53=40']
Exploring Operation: 10+40=50, Resulting Numbers: [90, 50]
Generated Node #0,7,0: 86:[90, 50] Operation: 10+40=50
Moving to Node #0,7,0
Current State: 86:[90, 50], Operations: ['93-53=40', '10+40=50']
Exploring Operation: 90-50=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,7,0
Current State: 86:[90, 50], Operations: ['93-53=40', '10+40=50']
Exploring Operation: 90+50=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,7
Current State: 86:[10, 90, 40], Operations: ['93-53=40']
Exploring Operation: 90-10=80, Resulting Numbers: [40, 80]
Generated Node #0,7,1: 86:[40, 80] Operation: 90-10=80
Moving to Node #0,7,1
Current State: 86:[40, 80], Operations: ['93-53=40', '90-10=80']
Exploring Operation: 40+80=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,7,1
Current State: 86:[40, 80], Operations: ['93-53=40', '90-10=80']
Exploring Operation: 80-40=40, Resulting Numbers: [40]
40,86 unequal: No Solution
Moving to Node #0,7,1
Current State: 86:[40, 80], Operations: ['93-53=40', '90-10=80']
Exploring Operation: 80/40=2, Resulting Numbers: [2]
2,86 unequal: No Solution
Moving to Node #0,7
Current State: 86:[10, 90, 40], Operations: ['93-53=40']
Exploring Operation: 10+90=100, Resulting Numbers: [40, 100]
Generated Node #0,7,2: 86:[40, 100] Operation: 10+90=100
Moving to Node #0,7,2
Current State: 86:[40, 100], Operations: ['93-53=40', '10+90=100']
Exploring Operation: 100-40=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,7,2
Current State: 86:[40, 100], Operations: ['93-53=40', '10+90=100']
Exploring Operation: 40+100=140, Resulting Numbers: [140]
140,86 unequal: No Solution
Moving to Node #0,7
Current State: 86:[10, 90, 40], Operations: ['93-53=40']
Exploring Operation: 40-10=30, Resulting Numbers: [90, 30]
Generated Node #0,7,3: 86:[90, 30] Operation: 40-10=30
Moving to Node #0,7,3
Current State: 86:[90, 30], Operations: ['93-53=40', '40-10=30']
Exploring Operation: 90-30=60, Resulting Numbers: [60]
60,86 unequal: No Solution
Moving to Node #0,7,3
Current State: 86:[90, 30], Operations: ['93-53=40', '40-10=30']
Exploring Operation: 90+30=120, Resulting Numbers: [120]
120,86 unequal: No Solution
Moving to Node #0,7,3
Current State: 86:[90, 30], Operations: ['93-53=40', '40-10=30']
Exploring Operation: 90/30=3, Resulting Numbers: [3]
3,86 unequal: No Solution
Moving to Node #0,7
Current State: 86:[10, 90, 40], Operations: ['93-53=40']
Exploring Operation: 40/10=4, Resulting Numbers: [90, 4]
Generated Node #0,7,4: 86:[90, 4] Operation: 40/10=4
Moving to Node #0,7,4
Current State: 86:[90, 4], Operations: ['93-53=40', '40/10=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 0.880208 | dfs | Current State: 86:[53, 10, 93, 90], Operations: []
Exploring Operation: 93-53=40, Resulting Numbers: [10, 90, 40]
Generated Node #2: [10, 90, 40] from Operation: 93-53=40
Current State: 86:[10, 90, 40], Operations: ['93-53=40']
Exploring Operation: 40/10=4, Resulting Numbers: [90, 4]
Generated Node #3: [90, 4] from Operation: 40/10=4
Current State: 86:[90, 4], Operations: ['93-53=40', '40/10=4']
Exploring Operation: 90-4=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| sum_heuristic |
[
30,
13,
19,
28
] | 22 | [
"30*13=390",
"28+390=418",
"418/19=22"
] | Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 30-13=17, Resulting Numbers: [19, 28, 17]
Generated Node #0,0: 22:[19, 28, 17] Operation: 30-13=17
Moving to Node #0,0
Current State: 22:[19, 28, 17], Operations: ['30-13=17']
Exploring Operation: 28-17=11, Resulting Numbers: [19, 11]
Generated Node #0,0,0: 22:[19, 11] Operation: 28-17=11
Moving to Node #0,0,0
Current State: 22:[19, 11], Operations: ['30-13=17', '28-17=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[19, 11], Operations: ['30-13=17', '28-17=11']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[19, 28, 17], Operations: ['30-13=17']
Exploring Operation: 28-19=9, Resulting Numbers: [17, 9]
Generated Node #0,0,1: 22:[17, 9] Operation: 28-19=9
Moving to Node #0,0,1
Current State: 22:[17, 9], Operations: ['30-13=17', '28-19=9']
Exploring Operation: 17+9=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[17, 9], Operations: ['30-13=17', '28-19=9']
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[19, 28, 17], Operations: ['30-13=17']
Exploring Operation: 19+17=36, Resulting Numbers: [28, 36]
Generated Node #0,0,2: 22:[28, 36] Operation: 19+17=36
Moving to Node #0,0,2
Current State: 22:[28, 36], Operations: ['30-13=17', '19+17=36']
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[19, 28, 17], Operations: ['30-13=17']
Exploring Operation: 19-17=2, Resulting Numbers: [28, 2]
Generated Node #0,0,3: 22:[28, 2] Operation: 19-17=2
Moving to Node #0,0,3
Current State: 22:[28, 2], Operations: ['30-13=17', '19-17=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,0,3
Current State: 22:[28, 2], Operations: ['30-13=17', '19-17=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,0,3
Current State: 22:[28, 2], Operations: ['30-13=17', '19-17=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[19, 28, 17], Operations: ['30-13=17']
Exploring Operation: 28+17=45, Resulting Numbers: [19, 45]
Generated Node #0,0,4: 22:[19, 45] Operation: 28+17=45
Moving to Node #0,0,4
Current State: 22:[19, 45], Operations: ['30-13=17', '28+17=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[19, 28, 17], Operations: ['30-13=17']
Exploring Operation: 19+28=47, Resulting Numbers: [17, 47]
Generated Node #0,0,5: 22:[17, 47] Operation: 19+28=47
Moving to Node #0,0,5
Current State: 22:[17, 47], Operations: ['30-13=17', '19+28=47']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 28-13=15, Resulting Numbers: [30, 19, 15]
Generated Node #0,1: 22:[30, 19, 15] Operation: 28-13=15
Moving to Node #0,1
Current State: 22:[30, 19, 15], Operations: ['28-13=15']
Exploring Operation: 30-15=15, Resulting Numbers: [19, 15]
Generated Node #0,1,0: 22:[19, 15] Operation: 30-15=15
Moving to Node #0,1,0
Current State: 22:[19, 15], Operations: ['28-13=15', '30-15=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,1,0
Current State: 22:[19, 15], Operations: ['28-13=15', '30-15=15']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[30, 19, 15], Operations: ['28-13=15']
Exploring Operation: 30-19=11, Resulting Numbers: [15, 11]
Generated Node #0,1,1: 22:[15, 11] Operation: 30-19=11
Moving to Node #0,1,1
Current State: 22:[15, 11], Operations: ['28-13=15', '30-19=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[15, 11], Operations: ['28-13=15', '30-19=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[30, 19, 15], Operations: ['28-13=15']
Exploring Operation: 19+15=34, Resulting Numbers: [30, 34]
Generated Node #0,1,2: 22:[30, 34] Operation: 19+15=34
Moving to Node #0,1,2
Current State: 22:[30, 34], Operations: ['28-13=15', '19+15=34']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[30, 19, 15], Operations: ['28-13=15']
Exploring Operation: 30/15=2, Resulting Numbers: [19, 2]
Generated Node #0,1,3: 22:[19, 2] Operation: 30/15=2
Moving to Node #0,1,3
Current State: 22:[19, 2], Operations: ['28-13=15', '30/15=2']
Exploring Operation: 19+2=21, Resulting Numbers: [21]
21,22 unequal: No Solution
Moving to Node #0,1,3
Current State: 22:[19, 2], Operations: ['28-13=15', '30/15=2']
Exploring Operation: 19-2=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Moving to Node #0,1,3
Current State: 22:[19, 2], Operations: ['28-13=15', '30/15=2']
Exploring Operation: 19*2=38, Resulting Numbers: [38]
38,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[30, 19, 15], Operations: ['28-13=15']
Exploring Operation: 30+15=45, Resulting Numbers: [19, 45]
Generated Node #0,1,4: 22:[19, 45] Operation: 30+15=45
Moving to Node #0,1,4
Current State: 22:[19, 45], Operations: ['28-13=15', '30+15=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[30, 19, 15], Operations: ['28-13=15']
Exploring Operation: 19-15=4, Resulting Numbers: [30, 4]
Generated Node #0,1,5: 22:[30, 4] Operation: 19-15=4
Moving to Node #0,1,5
Current State: 22:[30, 4], Operations: ['28-13=15', '19-15=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,1,5
Current State: 22:[30, 4], Operations: ['28-13=15', '19-15=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[30, 19, 15], Operations: ['28-13=15']
Exploring Operation: 30+19=49, Resulting Numbers: [15, 49]
Generated Node #0,1,6: 22:[15, 49] Operation: 30+19=49
Moving to Node #0,1,6
Current State: 22:[15, 49], Operations: ['28-13=15', '30+19=49']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 13+19=32, Resulting Numbers: [30, 28, 32]
Generated Node #0,2: 22:[30, 28, 32] Operation: 13+19=32
Moving to Node #0,2
Current State: 22:[30, 28, 32], Operations: ['13+19=32']
Exploring Operation: 32-30=2, Resulting Numbers: [28, 2]
Generated Node #0,2,0: 22:[28, 2] Operation: 32-30=2
Moving to Node #0,2,0
Current State: 22:[28, 2], Operations: ['13+19=32', '32-30=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,2,0
Current State: 22:[28, 2], Operations: ['13+19=32', '32-30=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,2,0
Current State: 22:[28, 2], Operations: ['13+19=32', '32-30=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Moving to Node #0,2
Current State: 22:[30, 28, 32], Operations: ['13+19=32']
Exploring Operation: 32-28=4, Resulting Numbers: [30, 4]
Generated Node #0,2,1: 22:[30, 4] Operation: 32-28=4
Moving to Node #0,2,1
Current State: 22:[30, 4], Operations: ['13+19=32', '32-28=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,2,1
Current State: 22:[30, 4], Operations: ['13+19=32', '32-28=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,2
Current State: 22:[30, 28, 32], Operations: ['13+19=32']
Exploring Operation: 30-28=2, Resulting Numbers: [32, 2]
Generated Node #0,2,2: 22:[32, 2] Operation: 30-28=2
Moving to Node #0,2,2
Current State: 22:[32, 2], Operations: ['13+19=32', '30-28=2']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[32, 2], Operations: ['13+19=32', '30-28=2']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,2,2
Current State: 22:[32, 2], Operations: ['13+19=32', '30-28=2']
Exploring Operation: 32+2=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 30-19=11, Resulting Numbers: [13, 28, 11]
Generated Node #0,3: 22:[13, 28, 11] Operation: 30-19=11
Moving to Node #0,3
Current State: 22:[13, 28, 11], Operations: ['30-19=11']
Exploring Operation: 13+11=24, Resulting Numbers: [28, 24]
Generated Node #0,3,0: 22:[28, 24] Operation: 13+11=24
Moving to Node #0,3,0
Current State: 22:[28, 24], Operations: ['30-19=11', '13+11=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,3
Current State: 22:[13, 28, 11], Operations: ['30-19=11']
Exploring Operation: 28-11=17, Resulting Numbers: [13, 17]
Generated Node #0,3,1: 22:[13, 17] Operation: 28-11=17
Moving to Node #0,3,1
Current State: 22:[13, 17], Operations: ['30-19=11', '28-11=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,3,1
Current State: 22:[13, 17], Operations: ['30-19=11', '28-11=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,3
Current State: 22:[13, 28, 11], Operations: ['30-19=11']
Exploring Operation: 28-13=15, Resulting Numbers: [11, 15]
Generated Node #0,3,2: 22:[11, 15] Operation: 28-13=15
Moving to Node #0,3,2
Current State: 22:[11, 15], Operations: ['30-19=11', '28-13=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,3,2
Current State: 22:[11, 15], Operations: ['30-19=11', '28-13=15']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,3
Current State: 22:[13, 28, 11], Operations: ['30-19=11']
Exploring Operation: 13-11=2, Resulting Numbers: [28, 2]
Generated Node #0,3,3: 22:[28, 2] Operation: 13-11=2
Moving to Node #0,3,3
Current State: 22:[28, 2], Operations: ['30-19=11', '13-11=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,3,3
Current State: 22:[28, 2], Operations: ['30-19=11', '13-11=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,3,3
Current State: 22:[28, 2], Operations: ['30-19=11', '13-11=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,22 unequal: No Solution
Moving to Node #0,3
Current State: 22:[13, 28, 11], Operations: ['30-19=11']
Exploring Operation: 28+11=39, Resulting Numbers: [13, 39]
Generated Node #0,3,4: 22:[13, 39] Operation: 28+11=39
Moving to Node #0,3,4
Current State: 22:[13, 39], Operations: ['30-19=11', '28+11=39']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,3,4
Current State: 22:[13, 39], Operations: ['30-19=11', '28+11=39']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Moving to Node #0,3
Current State: 22:[13, 28, 11], Operations: ['30-19=11']
Exploring Operation: 13+28=41, Resulting Numbers: [11, 41]
Generated Node #0,3,5: 22:[11, 41] Operation: 13+28=41
Moving to Node #0,3,5
Current State: 22:[11, 41], Operations: ['30-19=11', '13+28=41']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 30+13=43, Resulting Numbers: [19, 28, 43]
Generated Node #0,4: 22:[19, 28, 43] Operation: 30+13=43
Moving to Node #0,4
Current State: 22:[19, 28, 43], Operations: ['30+13=43']
Exploring Operation: 43-19=24, Resulting Numbers: [28, 24]
Generated Node #0,4,0: 22:[28, 24] Operation: 43-19=24
Moving to Node #0,4,0
Current State: 22:[28, 24], Operations: ['30+13=43', '43-19=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,4
Current State: 22:[19, 28, 43], Operations: ['30+13=43']
Exploring Operation: 43-28=15, Resulting Numbers: [19, 15]
Generated Node #0,4,1: 22:[19, 15] Operation: 43-28=15
Moving to Node #0,4,1
Current State: 22:[19, 15], Operations: ['30+13=43', '43-28=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,4,1
Current State: 22:[19, 15], Operations: ['30+13=43', '43-28=15']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,4
Current State: 22:[19, 28, 43], Operations: ['30+13=43']
Exploring Operation: 28-19=9, Resulting Numbers: [43, 9]
Generated Node #0,4,2: 22:[43, 9] Operation: 28-19=9
Moving to Node #0,4,2
Current State: 22:[43, 9], Operations: ['30+13=43', '28-19=9']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 19-13=6, Resulting Numbers: [30, 28, 6]
Generated Node #0,5: 22:[30, 28, 6] Operation: 19-13=6
Moving to Node #0,5
Current State: 22:[30, 28, 6], Operations: ['19-13=6']
Exploring Operation: 30-6=24, Resulting Numbers: [28, 24]
Generated Node #0,5,0: 22:[28, 24] Operation: 30-6=24
Moving to Node #0,5,0
Current State: 22:[28, 24], Operations: ['19-13=6', '30-6=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,5
Current State: 22:[30, 28, 6], Operations: ['19-13=6']
Exploring Operation: 28-6=22, Resulting Numbers: [30, 22]
Generated Node #0,5,1: 22:[30, 22] Operation: 28-6=22
Moving to Node #0,5,1
Current State: 22:[30, 22], Operations: ['19-13=6', '28-6=22']
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,5
Current State: 22:[30, 28, 6], Operations: ['19-13=6']
Exploring Operation: 30+6=36, Resulting Numbers: [28, 36]
Generated Node #0,5,2: 22:[28, 36] Operation: 30+6=36
Moving to Node #0,5,2
Current State: 22:[28, 36], Operations: ['19-13=6', '30+6=36']
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,5
Current State: 22:[30, 28, 6], Operations: ['19-13=6']
Exploring Operation: 28+6=34, Resulting Numbers: [30, 34]
Generated Node #0,5,3: 22:[30, 34] Operation: 28+6=34
Moving to Node #0,5,3
Current State: 22:[30, 34], Operations: ['19-13=6', '28+6=34']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,5
Current State: 22:[30, 28, 6], Operations: ['19-13=6']
Exploring Operation: 30/6=5, Resulting Numbers: [28, 5]
Generated Node #0,5,4: 22:[28, 5] Operation: 30/6=5
Moving to Node #0,5,4
Current State: 22:[28, 5], Operations: ['19-13=6', '30/6=5']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,22 unequal: No Solution
Moving to Node #0,5,4
Current State: 22:[28, 5], Operations: ['19-13=6', '30/6=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,22 unequal: No Solution
Moving to Node #0,5
Current State: 22:[30, 28, 6], Operations: ['19-13=6']
Exploring Operation: 30-28=2, Resulting Numbers: [6, 2]
Generated Node #0,5,5: 22:[6, 2] Operation: 30-28=2
Moving to Node #0,5,5
Current State: 22:[6, 2], Operations: ['19-13=6', '30-28=2']
Exploring Operation: 6*2=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Moving to Node #0,5,5
Current State: 22:[6, 2], Operations: ['19-13=6', '30-28=2']
Exploring Operation: 6+2=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,5,5
Current State: 22:[6, 2], Operations: ['19-13=6', '30-28=2']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,5,5
Current State: 22:[6, 2], Operations: ['19-13=6', '30-28=2']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 13+28=41, Resulting Numbers: [30, 19, 41]
Generated Node #0,6: 22:[30, 19, 41] Operation: 13+28=41
Moving to Node #0,6
Current State: 22:[30, 19, 41], Operations: ['13+28=41']
Exploring Operation: 41-19=22, Resulting Numbers: [30, 22]
Generated Node #0,6,0: 22:[30, 22] Operation: 41-19=22
Moving to Node #0,6,0
Current State: 22:[30, 22], Operations: ['13+28=41', '41-19=22']
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,6
Current State: 22:[30, 19, 41], Operations: ['13+28=41']
Exploring Operation: 41-30=11, Resulting Numbers: [19, 11]
Generated Node #0,6,1: 22:[19, 11] Operation: 41-30=11
Moving to Node #0,6,1
Current State: 22:[19, 11], Operations: ['13+28=41', '41-30=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,6,1
Current State: 22:[19, 11], Operations: ['13+28=41', '41-30=11']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,6
Current State: 22:[30, 19, 41], Operations: ['13+28=41']
Exploring Operation: 30-19=11, Resulting Numbers: [41, 11]
Generated Node #0,6,2: 22:[41, 11] Operation: 30-19=11
Moving to Node #0,6,2
Current State: 22:[41, 11], Operations: ['13+28=41', '30-19=11']
Exploring Operation: 41-11=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 28-19=9, Resulting Numbers: [30, 13, 9]
Generated Node #0,7: 22:[30, 13, 9] Operation: 28-19=9
Moving to Node #0,7
Current State: 22:[30, 13, 9], Operations: ['28-19=9']
Exploring Operation: 13+9=22, Resulting Numbers: [30, 22]
Generated Node #0,7,0: 22:[30, 22] Operation: 13+9=22
Moving to Node #0,7,0
Current State: 22:[30, 22], Operations: ['28-19=9', '13+9=22']
Exploring Operation: 30-22=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,7
Current State: 22:[30, 13, 9], Operations: ['28-19=9']
Exploring Operation: 30-9=21, Resulting Numbers: [13, 21]
Generated Node #0,7,1: 22:[13, 21] Operation: 30-9=21
Moving to Node #0,7,1
Current State: 22:[13, 21], Operations: ['28-19=9', '30-9=21']
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,7,1
Current State: 22:[13, 21], Operations: ['28-19=9', '30-9=21']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,7
Current State: 22:[30, 13, 9], Operations: ['28-19=9']
Exploring Operation: 30-13=17, Resulting Numbers: [9, 17]
Generated Node #0,7,2: 22:[9, 17] Operation: 30-13=17
Moving to Node #0,7,2
Current State: 22:[9, 17], Operations: ['28-19=9', '30-13=17']
Exploring Operation: 9+17=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,7,2
Current State: 22:[9, 17], Operations: ['28-19=9', '30-13=17']
Exploring Operation: 17-9=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,7
Current State: 22:[30, 13, 9], Operations: ['28-19=9']
Exploring Operation: 30+9=39, Resulting Numbers: [13, 39]
Generated Node #0,7,3: 22:[13, 39] Operation: 30+9=39
Moving to Node #0,7,3
Current State: 22:[13, 39], Operations: ['28-19=9', '30+9=39']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,7,3
Current State: 22:[13, 39], Operations: ['28-19=9', '30+9=39']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Moving to Node #0,7
Current State: 22:[30, 13, 9], Operations: ['28-19=9']
Exploring Operation: 13-9=4, Resulting Numbers: [30, 4]
Generated Node #0,7,4: 22:[30, 4] Operation: 13-9=4
Moving to Node #0,7,4
Current State: 22:[30, 4], Operations: ['28-19=9', '13-9=4']
Exploring Operation: 30-4=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,7,4
Current State: 22:[30, 4], Operations: ['28-19=9', '13-9=4']
Exploring Operation: 30+4=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,7
Current State: 22:[30, 13, 9], Operations: ['28-19=9']
Exploring Operation: 30+13=43, Resulting Numbers: [9, 43]
Generated Node #0,7,5: 22:[9, 43] Operation: 30+13=43
Moving to Node #0,7,5
Current State: 22:[9, 43], Operations: ['28-19=9', '30+13=43']
Exploring Operation: 43-9=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 30-28=2, Resulting Numbers: [13, 19, 2]
Generated Node #0,8: 22:[13, 19, 2] Operation: 30-28=2
Moving to Node #0,8
Current State: 22:[13, 19, 2], Operations: ['30-28=2']
Exploring Operation: 13*2=26, Resulting Numbers: [19, 26]
Generated Node #0,8,0: 22:[19, 26] Operation: 13*2=26
Moving to Node #0,8,0
Current State: 22:[19, 26], Operations: ['30-28=2', '13*2=26']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,22 unequal: No Solution
Moving to Node #0,8
Current State: 22:[13, 19, 2], Operations: ['30-28=2']
Exploring Operation: 13+2=15, Resulting Numbers: [19, 15]
Generated Node #0,8,1: 22:[19, 15] Operation: 13+2=15
Moving to Node #0,8,1
Current State: 22:[19, 15], Operations: ['30-28=2', '13+2=15']
Exploring Operation: 19+15=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,8,1
Current State: 22:[19, 15], Operations: ['30-28=2', '13+2=15']
Exploring Operation: 19-15=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,8
Current State: 22:[13, 19, 2], Operations: ['30-28=2']
Exploring Operation: 19+2=21, Resulting Numbers: [13, 21]
Generated Node #0,8,2: 22:[13, 21] Operation: 19+2=21
Moving to Node #0,8,2
Current State: 22:[13, 21], Operations: ['30-28=2', '19+2=21']
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,8,2
Current State: 22:[13, 21], Operations: ['30-28=2', '19+2=21']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,8
Current State: 22:[13, 19, 2], Operations: ['30-28=2']
Exploring Operation: 13-2=11, Resulting Numbers: [19, 11]
Generated Node #0,8,3: 22:[19, 11] Operation: 13-2=11
Moving to Node #0,8,3
Current State: 22:[19, 11], Operations: ['30-28=2', '13-2=11']
Exploring Operation: 19+11=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,8,3
Current State: 22:[19, 11], Operations: ['30-28=2', '13-2=11']
Exploring Operation: 19-11=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,8
Current State: 22:[13, 19, 2], Operations: ['30-28=2']
Exploring Operation: 19-2=17, Resulting Numbers: [13, 17]
Generated Node #0,8,4: 22:[13, 17] Operation: 19-2=17
Moving to Node #0,8,4
Current State: 22:[13, 17], Operations: ['30-28=2', '19-2=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,8,4
Current State: 22:[13, 17], Operations: ['30-28=2', '19-2=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,8
Current State: 22:[13, 19, 2], Operations: ['30-28=2']
Exploring Operation: 19*2=38, Resulting Numbers: [13, 38]
Generated Node #0,8,5: 22:[13, 38] Operation: 19*2=38
Moving to Node #0,8,5
Current State: 22:[13, 38], Operations: ['30-28=2', '19*2=38']
Exploring Operation: 38-13=25, Resulting Numbers: [25]
25,22 unequal: No Solution
Moving to Node #0,8
Current State: 22:[13, 19, 2], Operations: ['30-28=2']
Exploring Operation: 13+19=32, Resulting Numbers: [2, 32]
Generated Node #0,8,6: 22:[2, 32] Operation: 13+19=32
Moving to Node #0,8,6
Current State: 22:[2, 32], Operations: ['30-28=2', '13+19=32']
Exploring Operation: 32/2=16, Resulting Numbers: [16]
16,22 unequal: No Solution
Moving to Node #0,8,6
Current State: 22:[2, 32], Operations: ['30-28=2', '13+19=32']
Exploring Operation: 32-2=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,8,6
Current State: 22:[2, 32], Operations: ['30-28=2', '13+19=32']
Exploring Operation: 2+32=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,8
Current State: 22:[13, 19, 2], Operations: ['30-28=2']
Exploring Operation: 19-13=6, Resulting Numbers: [2, 6]
Generated Node #0,8,7: 22:[2, 6] Operation: 19-13=6
Moving to Node #0,8,7
Current State: 22:[2, 6], Operations: ['30-28=2', '19-13=6']
Exploring Operation: 2*6=12, Resulting Numbers: [12]
12,22 unequal: No Solution
Moving to Node #0,8,7
Current State: 22:[2, 6], Operations: ['30-28=2', '19-13=6']
Exploring Operation: 2+6=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,8,7
Current State: 22:[2, 6], Operations: ['30-28=2', '19-13=6']
Exploring Operation: 6-2=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,8,7
Current State: 22:[2, 6], Operations: ['30-28=2', '19-13=6']
Exploring Operation: 6/2=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 30+19=49, Resulting Numbers: [13, 28, 49]
Generated Node #0,9: 22:[13, 28, 49] Operation: 30+19=49
Moving to Node #0,9
Current State: 22:[13, 28, 49], Operations: ['30+19=49']
Exploring Operation: 49-28=21, Resulting Numbers: [13, 21]
Generated Node #0,9,0: 22:[13, 21] Operation: 49-28=21
Moving to Node #0,9,0
Current State: 22:[13, 21], Operations: ['30+19=49', '49-28=21']
Exploring Operation: 13+21=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0,9,0
Current State: 22:[13, 21], Operations: ['30+19=49', '49-28=21']
Exploring Operation: 21-13=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,9
Current State: 22:[13, 28, 49], Operations: ['30+19=49']
Exploring Operation: 49-13=36, Resulting Numbers: [28, 36]
Generated Node #0,9,1: 22:[28, 36] Operation: 49-13=36
Moving to Node #0,9,1
Current State: 22:[28, 36], Operations: ['30+19=49', '49-13=36']
Exploring Operation: 36-28=8, Resulting Numbers: [8]
8,22 unequal: No Solution
Moving to Node #0,9
Current State: 22:[13, 28, 49], Operations: ['30+19=49']
Exploring Operation: 28-13=15, Resulting Numbers: [49, 15]
Generated Node #0,9,2: 22:[49, 15] Operation: 28-13=15
Moving to Node #0,9,2
Current State: 22:[49, 15], Operations: ['30+19=49', '28-13=15']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 19+28=47, Resulting Numbers: [30, 13, 47]
Generated Node #0,10: 22:[30, 13, 47] Operation: 19+28=47
Moving to Node #0,10
Current State: 22:[30, 13, 47], Operations: ['19+28=47']
Exploring Operation: 47-30=17, Resulting Numbers: [13, 17]
Generated Node #0,10,0: 22:[13, 17] Operation: 47-30=17
Moving to Node #0,10,0
Current State: 22:[13, 17], Operations: ['19+28=47', '47-30=17']
Exploring Operation: 13+17=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0,10,0
Current State: 22:[13, 17], Operations: ['19+28=47', '47-30=17']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,10
Current State: 22:[30, 13, 47], Operations: ['19+28=47']
Exploring Operation: 47-13=34, Resulting Numbers: [30, 34]
Generated Node #0,10,1: 22:[30, 34] Operation: 47-13=34
Moving to Node #0,10,1
Current State: 22:[30, 34], Operations: ['19+28=47', '47-13=34']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,10
Current State: 22:[30, 13, 47], Operations: ['19+28=47']
Exploring Operation: 30-13=17, Resulting Numbers: [47, 17]
Generated Node #0,10,2: 22:[47, 17] Operation: 30-13=17
Moving to Node #0,10,2
Current State: 22:[47, 17], Operations: ['19+28=47', '30-13=17']
Exploring Operation: 47-17=30, Resulting Numbers: [30]
30,22 unequal: No Solution
Moving to Node #0
Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 30+28=58, Resulting Numbers: [13, 19, 58]
Generated Node #0,11: 22:[13, 19, 58] Operation: 30+28=58
Moving to Node #0,11
Current State: 22:[13, 19, 58], Operations: ['30+28=58']
Exploring Operation: 58-13=45, Resulting Numbers: [19, 45]
Generated Node #0,11,0: 22:[19, 45] Operation: 58-13=45
Moving to Node #0,11,0
Current State: 22:[19, 45], Operations: ['30+28=58', '58-13=45']
Exploring Operation: 45-19=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,11
Current State: 22:[13, 19, 58], Operations: ['30+28=58']
Exploring Operation: 58-19=39, Resulting Numbers: [13, 39]
Generated Node #0,11,1: 22:[13, 39] Operation: 58-19=39
Moving to Node #0,11,1
Current State: 22:[13, 39], Operations: ['30+28=58', '58-19=39']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,22 unequal: No Solution
Moving to Node #0,11,1
Current State: 22:[13, 39], Operations: ['30+28=58', '58-19=39']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,22 unequal: No Solution
| 0 | dfs | Current State: 22:[30, 13, 19, 28], Operations: []
Exploring Operation: 30*13=390, Resulting Numbers: [19, 28, 390]
Generated Node #2: [19, 28, 390] from Operation: 30*13=390
Current State: 22:[19, 28, 390], Operations: ['30*13=390']
Exploring Operation: 28+390=418, Resulting Numbers: [19, 418]
Generated Node #3: [19, 418] from Operation: 28+390=418
Current State: 22:[19, 418], Operations: ['30*13=390', '28+390=418']
Exploring Operation: 418/19=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| sum_heuristic |
[
73,
60,
21,
39
] | 73 | [
"73+60=133",
"21+39=60",
"133-60=73"
] | Current State: 73:[73, 60, 21, 39], Operations: []
Exploring Operation: 21+39=60, Resulting Numbers: [73, 60, 60]
Generated Node #0,0: 73:[73, 60, 60] Operation: 21+39=60
Moving to Node #0,0
Current State: 73:[73, 60, 60], Operations: ['21+39=60']
Exploring Operation: 60+60=120, Resulting Numbers: [73, 120]
Generated Node #0,0,0: 73:[73, 120] Operation: 60+60=120
Moving to Node #0,0,0
Current State: 73:[73, 120], Operations: ['21+39=60', '60+60=120']
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,73 unequal: No Solution
Moving to Node #0,0
Current State: 73:[73, 60, 60], Operations: ['21+39=60']
Exploring Operation: 60/60=1, Resulting Numbers: [73, 1]
Generated Node #0,0,1: 73:[73, 1] Operation: 60/60=1
Moving to Node #0,0,1
Current State: 73:[73, 1], Operations: ['21+39=60', '60/60=1']
Exploring Operation: 73*1=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 0.994792 | dfs | Current State: 73:[73, 60, 21, 39], Operations: []
Exploring Operation: 73+60=133, Resulting Numbers: [21, 39, 133]
Generated Node #2: [21, 39, 133] from Operation: 73+60=133
Current State: 73:[21, 39, 133], Operations: ['73+60=133']
Exploring Operation: 21+39=60, Resulting Numbers: [133, 60]
Generated Node #3: [133, 60] from Operation: 21+39=60
Current State: 73:[133, 60], Operations: ['73+60=133', '21+39=60']
Exploring Operation: 133-60=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| sum_heuristic |
[
64,
78,
23,
53
] | 44 | [
"78-64=14",
"53-23=30",
"14+30=44"
] | Current State: 44:[64, 78, 23, 53], Operations: []
Exploring Operation: 78-23=55, Resulting Numbers: [64, 53, 55]
Generated Node #0,0: 44:[64, 53, 55] Operation: 78-23=55
Moving to Node #0,0
Current State: 44:[64, 53, 55], Operations: ['78-23=55']
Exploring Operation: 64-53=11, Resulting Numbers: [55, 11]
Generated Node #0,0,0: 44:[55, 11] Operation: 64-53=11
Moving to Node #0,0,0
Current State: 44:[55, 11], Operations: ['78-23=55', '64-53=11']
Exploring Operation: 55-11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 0.996528 | dfs | Current State: 44:[64, 78, 23, 53], Operations: []
Exploring Operation: 78-64=14, Resulting Numbers: [23, 53, 14]
Generated Node #2: [23, 53, 14] from Operation: 78-64=14
Current State: 44:[23, 53, 14], Operations: ['78-64=14']
Exploring Operation: 53-23=30, Resulting Numbers: [14, 30]
Generated Node #3: [14, 30] from Operation: 53-23=30
Current State: 44:[14, 30], Operations: ['78-64=14', '53-23=30']
Exploring Operation: 14+30=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| sum_heuristic |
[
25,
16,
13,
15
] | 12 | [
"25-13=12",
"16-15=1",
"12*1=12"
] | Current State: 12:[25, 16, 13, 15], Operations: []
Exploring Operation: 25-16=9, Resulting Numbers: [13, 15, 9]
Generated Node #0,0: 12:[13, 15, 9] Operation: 25-16=9
Moving to Node #0,0
Current State: 12:[13, 15, 9], Operations: ['25-16=9']
Exploring Operation: 15-9=6, Resulting Numbers: [13, 6]
Generated Node #0,0,0: 12:[13, 6] Operation: 15-9=6
Moving to Node #0,0,0
Current State: 12:[13, 6], Operations: ['25-16=9', '15-9=6']
Exploring Operation: 13-6=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Moving to Node #0,0,0
Current State: 12:[13, 6], Operations: ['25-16=9', '15-9=6']
Exploring Operation: 13+6=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Moving to Node #0,0
Current State: 12:[13, 15, 9], Operations: ['25-16=9']
Exploring Operation: 15-13=2, Resulting Numbers: [9, 2]
Generated Node #0,0,1: 12:[9, 2] Operation: 15-13=2
Moving to Node #0,0,1
Current State: 12:[9, 2], Operations: ['25-16=9', '15-13=2']
Exploring Operation: 9+2=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[9, 2], Operations: ['25-16=9', '15-13=2']
Exploring Operation: 9-2=7, Resulting Numbers: [7]
7,12 unequal: No Solution
Moving to Node #0,0,1
Current State: 12:[9, 2], Operations: ['25-16=9', '15-13=2']
Exploring Operation: 9*2=18, Resulting Numbers: [18]
18,12 unequal: No Solution
Moving to Node #0,0
Current State: 12:[13, 15, 9], Operations: ['25-16=9']
Exploring Operation: 13-9=4, Resulting Numbers: [15, 4]
Generated Node #0,0,2: 12:[15, 4] Operation: 13-9=4
Moving to Node #0,0,2
Current State: 12:[15, 4], Operations: ['25-16=9', '13-9=4']
Exploring Operation: 15-4=11, Resulting Numbers: [11]
11,12 unequal: No Solution
Moving to Node #0,0,2
Current State: 12:[15, 4], Operations: ['25-16=9', '13-9=4']
Exploring Operation: 15+4=19, Resulting Numbers: [19]
19,12 unequal: No Solution
Moving to Node #0
Current State: 12:[25, 16, 13, 15], Operations: []
Exploring Operation: 25-13=12, Resulting Numbers: [16, 15, 12]
Generated Node #0,1: 12:[16, 15, 12] Operation: 25-13=12
Moving to Node #0,1
Current State: 12:[16, 15, 12], Operations: ['25-13=12']
Exploring Operation: 16-15=1, Resulting Numbers: [12, 1]
Generated Node #0,1,0: 12:[12, 1] Operation: 16-15=1
Moving to Node #0,1,0
Current State: 12:[12, 1], Operations: ['25-13=12', '16-15=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 0.986979 | dfs | Current State: 12:[25, 16, 13, 15], Operations: []
Exploring Operation: 25-13=12, Resulting Numbers: [16, 15, 12]
Generated Node #2: [16, 15, 12] from Operation: 25-13=12
Current State: 12:[16, 15, 12], Operations: ['25-13=12']
Exploring Operation: 16-15=1, Resulting Numbers: [12, 1]
Generated Node #3: [12, 1] from Operation: 16-15=1
Current State: 12:[12, 1], Operations: ['25-13=12', '16-15=1']
Exploring Operation: 12*1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| mult_heuristic |
[
9,
84,
9,
64
] | 67 | [
"9*9=81",
"84+64=148",
"148-81=67"
] | Current State: 67:[9, 84, 9, 64], Operations: []
Exploring Operation: 9*9=81, Resulting Numbers: [84, 64, 81]
Generated Node #0,0: 67:[84, 64, 81] Operation: 9*9=81
Exploring Operation: 84-9=75, Resulting Numbers: [9, 64, 75]
Generated Node #0,1: 67:[9, 64, 75] Operation: 84-9=75
Moving to Node #0,0
Current State: 67:[84, 64, 81], Operations: ['9*9=81']
Exploring Operation: 84-81=3, Resulting Numbers: [64, 3]
Generated Node #0,0,0: 67:[64, 3] Operation: 84-81=3
Exploring Operation: 84-64=20, Resulting Numbers: [81, 20]
Generated Node #0,0,1: 67:[81, 20] Operation: 84-64=20
Moving to Node #0,1
Current State: 67:[9, 64, 75], Operations: ['84-9=75']
Exploring Operation: 9+64=73, Resulting Numbers: [75, 73]
Generated Node #0,1,0: 67:[75, 73] Operation: 9+64=73
Exploring Operation: 75-9=66, Resulting Numbers: [64, 66]
Generated Node #0,1,1: 67:[64, 66] Operation: 75-9=66
Moving to Node #0,1,1
Current State: 67:[64, 66], Operations: ['84-9=75', '75-9=66']
Exploring Operation: 64+66=130, Resulting Numbers: [130]
130,67 unequal: No Solution
Exploring Operation: 66-64=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Moving to Node #0,1,0
Current State: 67:[75, 73], Operations: ['84-9=75', '9+64=73']
Exploring Operation: 75-73=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 75+73=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[81, 20], Operations: ['9*9=81', '84-64=20']
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,67 unequal: No Solution
Exploring Operation: 81+20=101, Resulting Numbers: [101]
101,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[64, 3], Operations: ['9*9=81', '84-81=3']
Exploring Operation: 64+3=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 0.987847 | bfs_2 | Current State: 67:[9, 84, 9, 64], Operations: []
Exploring Operation: 9*9=81, Resulting Numbers: [84, 64, 81]
Generated Node #2: [84, 64, 81] from Operation: 9*9=81
Current State: 67:[84, 64, 81], Operations: ['9*9=81']
Exploring Operation: 84+64=148, Resulting Numbers: [81, 148]
Generated Node #3: [81, 148] from Operation: 84+64=148
Current State: 67:[81, 148], Operations: ['9*9=81', '84+64=148']
Exploring Operation: 148-81=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| sum_heuristic |
[
73,
36,
36,
82
] | 32 | [
"82-73=9",
"36/9=4",
"36-4=32"
] | Current State: 32:[73, 36, 36, 82], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [36, 36, 9]
Generated Node #0,0: 32:[36, 36, 9] Operation: 82-73=9
Moving to Node #0,0
Current State: 32:[36, 36, 9], Operations: ['82-73=9']
Exploring Operation: 36/36=1, Resulting Numbers: [9, 1]
Generated Node #0,0,0: 32:[9, 1] Operation: 36/36=1
Moving to Node #0,0,0
Current State: 32:[9, 1], Operations: ['82-73=9', '36/36=1']
Exploring Operation: 9-1=8, Resulting Numbers: [8]
8,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[9, 1], Operations: ['82-73=9', '36/36=1']
Exploring Operation: 9*1=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[9, 1], Operations: ['82-73=9', '36/36=1']
Exploring Operation: 9/1=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Moving to Node #0,0,0
Current State: 32:[9, 1], Operations: ['82-73=9', '36/36=1']
Exploring Operation: 9+1=10, Resulting Numbers: [10]
10,32 unequal: No Solution
Moving to Node #0,0
Current State: 32:[36, 36, 9], Operations: ['82-73=9']
Exploring Operation: 36-36=0, Resulting Numbers: [9, 0]
Generated Node #0,0,1: 32:[9, 0] Operation: 36-36=0
Moving to Node #0,0,1
Current State: 32:[9, 0], Operations: ['82-73=9', '36-36=0']
Exploring Operation: 9+0=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[9, 0], Operations: ['82-73=9', '36-36=0']
Exploring Operation: 9-0=9, Resulting Numbers: [9]
9,32 unequal: No Solution
Moving to Node #0,0,1
Current State: 32:[9, 0], Operations: ['82-73=9', '36-36=0']
Exploring Operation: 9*0=0, Resulting Numbers: [0]
0,32 unequal: No Solution
Moving to Node #0,0
Current State: 32:[36, 36, 9], Operations: ['82-73=9']
Exploring Operation: 36/9=4, Resulting Numbers: [36, 4]
Generated Node #0,0,2: 32:[36, 4] Operation: 36/9=4
Moving to Node #0,0,2
Current State: 32:[36, 4], Operations: ['82-73=9', '36/9=4']
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 0.988715 | dfs | Current State: 32:[73, 36, 36, 82], Operations: []
Exploring Operation: 82-73=9, Resulting Numbers: [36, 36, 9]
Generated Node #2: [36, 36, 9] from Operation: 82-73=9
Current State: 32:[36, 36, 9], Operations: ['82-73=9']
Exploring Operation: 36/9=4, Resulting Numbers: [4]
4,32 equal: Goal Reached
Exploring Operation: 36-4=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| mult_heuristic |
[
88,
90,
1,
26
] | 25 | [
"90-88=2",
"1+26=27",
"27-2=25"
] | Current State: 25:[88, 90, 1, 26], Operations: []
Exploring Operation: 88-1=87, Resulting Numbers: [90, 26, 87]
Generated Node #0,0: 25:[90, 26, 87] Operation: 88-1=87
Exploring Operation: 88-26=62, Resulting Numbers: [90, 1, 62]
Generated Node #0,1: 25:[90, 1, 62] Operation: 88-26=62
Exploring Operation: 90-88=2, Resulting Numbers: [1, 26, 2]
Generated Node #0,2: 25:[1, 26, 2] Operation: 90-88=2
Exploring Operation: 90-26=64, Resulting Numbers: [88, 1, 64]
Generated Node #0,3: 25:[88, 1, 64] Operation: 90-26=64
Exploring Operation: 90-1=89, Resulting Numbers: [88, 26, 89]
Generated Node #0,4: 25:[88, 26, 89] Operation: 90-1=89
Moving to Node #0,2
Current State: 25:[1, 26, 2], Operations: ['90-88=2']
Exploring Operation: 26-1=25, Resulting Numbers: [2, 25]
Generated Node #0,2,0: 25:[2, 25] Operation: 26-1=25
Exploring Operation: 26/1=26, Resulting Numbers: [2, 26]
Generated Node #0,2,1: 25:[2, 26] Operation: 26/1=26
Exploring Operation: 1+2=3, Resulting Numbers: [26, 3]
Generated Node #0,2,2: 25:[26, 3] Operation: 1+2=3
Exploring Operation: 1*2=2, Resulting Numbers: [26, 2]
Generated Node #0,2,3: 25:[26, 2] Operation: 1*2=2
Exploring Operation: 1*26=26, Resulting Numbers: [2, 26]
Generated Node #0,2,4: 25:[2, 26] Operation: 1*26=26
Moving to Node #0,3
Current State: 25:[88, 1, 64], Operations: ['90-26=64']
Exploring Operation: 88/1=88, Resulting Numbers: [64, 88]
Generated Node #0,3,0: 25:[64, 88] Operation: 88/1=88
Exploring Operation: 64-1=63, Resulting Numbers: [88, 63]
Generated Node #0,3,1: 25:[88, 63] Operation: 64-1=63
Exploring Operation: 88*1=88, Resulting Numbers: [64, 88]
Generated Node #0,3,2: 25:[64, 88] Operation: 88*1=88
Exploring Operation: 88-1=87, Resulting Numbers: [64, 87]
Generated Node #0,3,3: 25:[64, 87] Operation: 88-1=87
Exploring Operation: 88-64=24, Resulting Numbers: [1, 24]
Generated Node #0,3,4: 25:[1, 24] Operation: 88-64=24
Moving to Node #0,1
Current State: 25:[90, 1, 62], Operations: ['88-26=62']
Exploring Operation: 90-62=28, Resulting Numbers: [1, 28]
Generated Node #0,1,0: 25:[1, 28] Operation: 90-62=28
Exploring Operation: 62-1=61, Resulting Numbers: [90, 61]
Generated Node #0,1,1: 25:[90, 61] Operation: 62-1=61
Exploring Operation: 90/1=90, Resulting Numbers: [62, 90]
Generated Node #0,1,2: 25:[62, 90] Operation: 90/1=90
Exploring Operation: 90-1=89, Resulting Numbers: [62, 89]
Generated Node #0,1,3: 25:[62, 89] Operation: 90-1=89
Exploring Operation: 90*1=90, Resulting Numbers: [62, 90]
Generated Node #0,1,4: 25:[62, 90] Operation: 90*1=90
Moving to Node #0,0
Current State: 25:[90, 26, 87], Operations: ['88-1=87']
Exploring Operation: 90-87=3, Resulting Numbers: [26, 3]
Generated Node #0,0,0: 25:[26, 3] Operation: 90-87=3
Exploring Operation: 87-26=61, Resulting Numbers: [90, 61]
Generated Node #0,0,1: 25:[90, 61] Operation: 87-26=61
Exploring Operation: 90+26=116, Resulting Numbers: [87, 116]
Generated Node #0,0,2: 25:[87, 116] Operation: 90+26=116
Exploring Operation: 90-26=64, Resulting Numbers: [87, 64]
Generated Node #0,0,3: 25:[87, 64] Operation: 90-26=64
Exploring Operation: 90+87=177, Resulting Numbers: [26, 177]
Generated Node #0,0,4: 25:[26, 177] Operation: 90+87=177
Moving to Node #0,4
Current State: 25:[88, 26, 89], Operations: ['90-1=89']
Exploring Operation: 89-88=1, Resulting Numbers: [26, 1]
Generated Node #0,4,0: 25:[26, 1] Operation: 89-88=1
Exploring Operation: 88+89=177, Resulting Numbers: [26, 177]
Generated Node #0,4,1: 25:[26, 177] Operation: 88+89=177
Exploring Operation: 88-26=62, Resulting Numbers: [89, 62]
Generated Node #0,4,2: 25:[89, 62] Operation: 88-26=62
Exploring Operation: 89-26=63, Resulting Numbers: [88, 63]
Generated Node #0,4,3: 25:[88, 63] Operation: 89-26=63
Exploring Operation: 88+26=114, Resulting Numbers: [89, 114]
Generated Node #0,4,4: 25:[89, 114] Operation: 88+26=114
Moving to Node #0,2,0
Current State: 25:[2, 25], Operations: ['90-88=2', '26-1=25']
Exploring Operation: 25-2=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 2+25=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Exploring Operation: 2*25=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[26, 3], Operations: ['90-88=2', '1+2=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[26, 3], Operations: ['88-1=87', '90-87=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,25 unequal: No Solution
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[2, 26], Operations: ['90-88=2', '26/1=26']
Exploring Operation: 2+26=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Moving to Node #0,2,4
Current State: 25:[2, 26], Operations: ['90-88=2', '1*26=26']
Exploring Operation: 2*26=52, Resulting Numbers: [52]
52,25 unequal: No Solution
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: 26-2=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 25:[24], Operations: ['90-88=2', '26/1=26', '26-2=24']
Moving to Node #0,2,4,0
Current State: 25:[24], Operations: ['90-88=2', '1*26=26', '26-2=24']
Moving to Node #0,2,0,0
Current State: 25:[23], Operations: ['90-88=2', '26-1=25', '25-2=23']
Moving to Node #0,2,2,0
Current State: 25:[23], Operations: ['90-88=2', '1+2=3', '26-3=23']
Moving to Node #0,0,0,0
Current State: 25:[23], Operations: ['88-1=87', '90-87=3', '26-3=23']
Moving to Node #0,2,0,0
Current State: 25:[27], Operations: ['90-88=2', '26-1=25', '2+25=27']
Moving to Node #0,2,1,0
Current State: 25:[28], Operations: ['90-88=2', '26/1=26', '2+26=28']
Moving to Node #0,2,4,0
Current State: 25:[28], Operations: ['90-88=2', '1*26=26', '2+26=28']
Moving to Node #0,0,0,0
Current State: 25:[29], Operations: ['88-1=87', '90-87=3', '26+3=29']
Moving to Node #0,2,2,0
Current State: 25:[29], Operations: ['90-88=2', '1+2=3', '26+3=29']
Moving to Node #0,2,3
Current State: 25:[26, 2], Operations: ['90-88=2', '1*2=2']
Exploring Operation: 26-2=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 26/2=13, Resulting Numbers: [13]
13,25 unequal: No Solution
Exploring Operation: 26*2=52, Resulting Numbers: [52]
52,25 unequal: No Solution
Exploring Operation: 26+2=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,2,4,0
Current State: 25:[13], Operations: ['90-88=2', '1*26=26', '26/2=13']
Moving to Node #0,2,1,0
Current State: 25:[13], Operations: ['90-88=2', '26/1=26', '26/2=13']
Moving to Node #0,3,4
Current State: 25:[1, 24], Operations: ['90-26=64', '88-64=24']
Exploring Operation: 24-1=23, Resulting Numbers: [23]
23,25 unequal: No Solution
Exploring Operation: 1*24=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 24/1=24, Resulting Numbers: [24]
24,25 unequal: No Solution
Exploring Operation: 1+24=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 0.951389 | bfs_5 | Current State: 25:[88, 90, 1, 26], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [1, 26, 2]
Generated Node #2: [1, 26, 2] from Operation: 90-88=2
Current State: 25:[1, 26, 2], Operations: ['90-88=2']
Exploring Operation: 1+26=27, Resulting Numbers: [2, 27]
Generated Node #3: [2, 27] from Operation: 1+26=27
Current State: 25:[2, 27], Operations: ['90-88=2', '1+26=27']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| sum_heuristic |
[
23,
3,
8,
35
] | 72 | [
"23+3=26",
"35-26=9",
"8*9=72"
] | Current State: 72:[23, 3, 8, 35], Operations: []
Exploring Operation: 3*8=24, Resulting Numbers: [23, 35, 24]
Generated Node #0,0: 72:[23, 35, 24] Operation: 3*8=24
Exploring Operation: 35-23=12, Resulting Numbers: [3, 8, 12]
Generated Node #0,1: 72:[3, 8, 12] Operation: 35-23=12
Moving to Node #0,1
Current State: 72:[3, 8, 12], Operations: ['35-23=12']
Exploring Operation: 3*8=24, Resulting Numbers: [12, 24]
Generated Node #0,1,0: 72:[12, 24] Operation: 3*8=24
Exploring Operation: 3*12=36, Resulting Numbers: [8, 36]
Generated Node #0,1,1: 72:[8, 36] Operation: 3*12=36
Moving to Node #0,0
Current State: 72:[23, 35, 24], Operations: ['3*8=24']
Exploring Operation: 24-23=1, Resulting Numbers: [35, 1]
Generated Node #0,0,0: 72:[35, 1] Operation: 24-23=1
Exploring Operation: 35-23=12, Resulting Numbers: [24, 12]
Generated Node #0,0,1: 72:[24, 12] Operation: 35-23=12
Moving to Node #0,1,0
Current State: 72:[12, 24], Operations: ['35-23=12', '3*8=24']
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[24, 12], Operations: ['3*8=24', '35-23=12']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 24+12=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[8, 36], Operations: ['35-23=12', '3*12=36']
Exploring Operation: 36-8=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Exploring Operation: 8+36=44, Resulting Numbers: [44]
44,72 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 72:[36], Operations: ['35-23=12', '3*8=24', '12+24=36']
Moving to Node #0,0,1,0
Current State: 72:[36], Operations: ['3*8=24', '35-23=12', '24+12=36']
Moving to Node #0,0,1,0
Current State: 72:[12], Operations: ['3*8=24', '35-23=12', '24-12=12']
Moving to Node #0,1,0,0
Current State: 72:[12], Operations: ['35-23=12', '3*8=24', '24-12=12']
Moving to Node #0,0,0
Current State: 72:[35, 1], Operations: ['3*8=24', '24-23=1']
Exploring Operation: 35+1=36, Resulting Numbers: [36]
36,72 unequal: No Solution
Exploring Operation: 35*1=35, Resulting Numbers: [35]
35,72 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 72:[36], Operations: ['3*8=24', '24-23=1', '35+1=36']
Moving to Node #0,0,0,0
Current State: 72:[35], Operations: ['3*8=24', '24-23=1', '35*1=35']
Moving to Node #0,1,1,0
Current State: 72:[28], Operations: ['35-23=12', '3*12=36', '36-8=28']
Moving to Node #0,1,1,0
Current State: 72:[44], Operations: ['35-23=12', '3*12=36', '8+36=44']
No solution found. | 0 | bfs_2 | Current State: 72:[23, 3, 8, 35], Operations: []
Exploring Operation: 23+3=26, Resulting Numbers: [8, 35, 26]
Generated Node #2: [8, 35, 26] from Operation: 23+3=26
Current State: 72:[8, 35, 26], Operations: ['23+3=26']
Exploring Operation: 35-26=9, Resulting Numbers: [8, 9]
Generated Node #3: [8, 9] from Operation: 35-26=9
Current State: 72:[8, 9], Operations: ['23+3=26', '35-26=9']
Exploring Operation: 8*9=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| mult_heuristic |
[
28,
11,
62,
49
] | 55 | [
"28+49=77",
"77/11=7",
"62-7=55"
] | Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 28+11=39, Resulting Numbers: [62, 49, 39]
Generated Node #0,0: 55:[62, 49, 39] Operation: 28+11=39
Moving to Node #0,0
Current State: 55:[62, 49, 39], Operations: ['28+11=39']
Exploring Operation: 62-39=23, Resulting Numbers: [49, 23]
Generated Node #0,0,0: 55:[49, 23] Operation: 62-39=23
Moving to Node #0,0,0
Current State: 55:[49, 23], Operations: ['28+11=39', '62-39=23']
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,0,0
Current State: 55:[49, 23], Operations: ['28+11=39', '62-39=23']
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,0
Current State: 55:[62, 49, 39], Operations: ['28+11=39']
Exploring Operation: 49+39=88, Resulting Numbers: [62, 88]
Generated Node #0,0,1: 55:[62, 88] Operation: 49+39=88
Moving to Node #0,0,1
Current State: 55:[62, 88], Operations: ['28+11=39', '49+39=88']
Exploring Operation: 88-62=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,0
Current State: 55:[62, 49, 39], Operations: ['28+11=39']
Exploring Operation: 62+39=101, Resulting Numbers: [49, 101]
Generated Node #0,0,2: 55:[49, 101] Operation: 62+39=101
Moving to Node #0,0,2
Current State: 55:[49, 101], Operations: ['28+11=39', '62+39=101']
Exploring Operation: 101-49=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,0
Current State: 55:[62, 49, 39], Operations: ['28+11=39']
Exploring Operation: 49-39=10, Resulting Numbers: [62, 10]
Generated Node #0,0,3: 55:[62, 10] Operation: 49-39=10
Moving to Node #0,0,3
Current State: 55:[62, 10], Operations: ['28+11=39', '49-39=10']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,0,3
Current State: 55:[62, 10], Operations: ['28+11=39', '49-39=10']
Exploring Operation: 62+10=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,0
Current State: 55:[62, 49, 39], Operations: ['28+11=39']
Exploring Operation: 62-49=13, Resulting Numbers: [39, 13]
Generated Node #0,0,4: 55:[39, 13] Operation: 62-49=13
Moving to Node #0,0,4
Current State: 55:[39, 13], Operations: ['28+11=39', '62-49=13']
Exploring Operation: 39+13=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,0,4
Current State: 55:[39, 13], Operations: ['28+11=39', '62-49=13']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,0,4
Current State: 55:[39, 13], Operations: ['28+11=39', '62-49=13']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,55 unequal: No Solution
Moving to Node #0,0
Current State: 55:[62, 49, 39], Operations: ['28+11=39']
Exploring Operation: 62+49=111, Resulting Numbers: [39, 111]
Generated Node #0,0,5: 55:[39, 111] Operation: 62+49=111
Moving to Node #0,0,5
Current State: 55:[39, 111], Operations: ['28+11=39', '62+49=111']
Exploring Operation: 111-39=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0
Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 62-11=51, Resulting Numbers: [28, 49, 51]
Generated Node #0,1: 55:[28, 49, 51] Operation: 62-11=51
Moving to Node #0,1
Current State: 55:[28, 49, 51], Operations: ['62-11=51']
Exploring Operation: 28+49=77, Resulting Numbers: [51, 77]
Generated Node #0,1,0: 55:[51, 77] Operation: 28+49=77
Moving to Node #0,1,0
Current State: 55:[51, 77], Operations: ['62-11=51', '28+49=77']
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,1
Current State: 55:[28, 49, 51], Operations: ['62-11=51']
Exploring Operation: 28+51=79, Resulting Numbers: [49, 79]
Generated Node #0,1,1: 55:[49, 79] Operation: 28+51=79
Moving to Node #0,1,1
Current State: 55:[49, 79], Operations: ['62-11=51', '28+51=79']
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,1
Current State: 55:[28, 49, 51], Operations: ['62-11=51']
Exploring Operation: 49-28=21, Resulting Numbers: [51, 21]
Generated Node #0,1,2: 55:[51, 21] Operation: 49-28=21
Moving to Node #0,1,2
Current State: 55:[51, 21], Operations: ['62-11=51', '49-28=21']
Exploring Operation: 51+21=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[51, 21], Operations: ['62-11=51', '49-28=21']
Exploring Operation: 51-21=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,1
Current State: 55:[28, 49, 51], Operations: ['62-11=51']
Exploring Operation: 51-28=23, Resulting Numbers: [49, 23]
Generated Node #0,1,3: 55:[49, 23] Operation: 51-28=23
Moving to Node #0,1,3
Current State: 55:[49, 23], Operations: ['62-11=51', '51-28=23']
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,1,3
Current State: 55:[49, 23], Operations: ['62-11=51', '51-28=23']
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,1
Current State: 55:[28, 49, 51], Operations: ['62-11=51']
Exploring Operation: 49+51=100, Resulting Numbers: [28, 100]
Generated Node #0,1,4: 55:[28, 100] Operation: 49+51=100
Moving to Node #0,1,4
Current State: 55:[28, 100], Operations: ['62-11=51', '49+51=100']
Exploring Operation: 100-28=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,1
Current State: 55:[28, 49, 51], Operations: ['62-11=51']
Exploring Operation: 51-49=2, Resulting Numbers: [28, 2]
Generated Node #0,1,5: 55:[28, 2] Operation: 51-49=2
Moving to Node #0,1,5
Current State: 55:[28, 2], Operations: ['62-11=51', '51-49=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Moving to Node #0,1,5
Current State: 55:[28, 2], Operations: ['62-11=51', '51-49=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,1,5
Current State: 55:[28, 2], Operations: ['62-11=51', '51-49=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,1,5
Current State: 55:[28, 2], Operations: ['62-11=51', '51-49=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Moving to Node #0
Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 11+49=60, Resulting Numbers: [28, 62, 60]
Generated Node #0,2: 55:[28, 62, 60] Operation: 11+49=60
Moving to Node #0,2
Current State: 55:[28, 62, 60], Operations: ['11+49=60']
Exploring Operation: 62-28=34, Resulting Numbers: [60, 34]
Generated Node #0,2,0: 55:[60, 34] Operation: 62-28=34
Moving to Node #0,2,0
Current State: 55:[60, 34], Operations: ['11+49=60', '62-28=34']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[60, 34], Operations: ['11+49=60', '62-28=34']
Exploring Operation: 60+34=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,2
Current State: 55:[28, 62, 60], Operations: ['11+49=60']
Exploring Operation: 60-28=32, Resulting Numbers: [62, 32]
Generated Node #0,2,1: 55:[62, 32] Operation: 60-28=32
Moving to Node #0,2,1
Current State: 55:[62, 32], Operations: ['11+49=60', '60-28=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[62, 32], Operations: ['11+49=60', '60-28=32']
Exploring Operation: 62+32=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,2
Current State: 55:[28, 62, 60], Operations: ['11+49=60']
Exploring Operation: 28+62=90, Resulting Numbers: [60, 90]
Generated Node #0,2,2: 55:[60, 90] Operation: 28+62=90
Moving to Node #0,2,2
Current State: 55:[60, 90], Operations: ['11+49=60', '28+62=90']
Exploring Operation: 90-60=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,2
Current State: 55:[28, 62, 60], Operations: ['11+49=60']
Exploring Operation: 28+60=88, Resulting Numbers: [62, 88]
Generated Node #0,2,3: 55:[62, 88] Operation: 28+60=88
Moving to Node #0,2,3
Current State: 55:[62, 88], Operations: ['11+49=60', '28+60=88']
Exploring Operation: 88-62=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,2
Current State: 55:[28, 62, 60], Operations: ['11+49=60']
Exploring Operation: 62-60=2, Resulting Numbers: [28, 2]
Generated Node #0,2,4: 55:[28, 2] Operation: 62-60=2
Moving to Node #0,2,4
Current State: 55:[28, 2], Operations: ['11+49=60', '62-60=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,55 unequal: No Solution
Moving to Node #0,2,4
Current State: 55:[28, 2], Operations: ['11+49=60', '62-60=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,2,4
Current State: 55:[28, 2], Operations: ['11+49=60', '62-60=2']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,2,4
Current State: 55:[28, 2], Operations: ['11+49=60', '62-60=2']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,55 unequal: No Solution
Moving to Node #0,2
Current State: 55:[28, 62, 60], Operations: ['11+49=60']
Exploring Operation: 62+60=122, Resulting Numbers: [28, 122]
Generated Node #0,2,5: 55:[28, 122] Operation: 62+60=122
Moving to Node #0,2,5
Current State: 55:[28, 122], Operations: ['11+49=60', '62+60=122']
Exploring Operation: 122-28=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0
Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 28-11=17, Resulting Numbers: [62, 49, 17]
Generated Node #0,3: 55:[62, 49, 17] Operation: 28-11=17
Moving to Node #0,3
Current State: 55:[62, 49, 17], Operations: ['28-11=17']
Exploring Operation: 62-17=45, Resulting Numbers: [49, 45]
Generated Node #0,3,0: 55:[49, 45] Operation: 62-17=45
Moving to Node #0,3,0
Current State: 55:[49, 45], Operations: ['28-11=17', '62-17=45']
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,3,0
Current State: 55:[49, 45], Operations: ['28-11=17', '62-17=45']
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,3
Current State: 55:[62, 49, 17], Operations: ['28-11=17']
Exploring Operation: 49+17=66, Resulting Numbers: [62, 66]
Generated Node #0,3,1: 55:[62, 66] Operation: 49+17=66
Moving to Node #0,3,1
Current State: 55:[62, 66], Operations: ['28-11=17', '49+17=66']
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,3
Current State: 55:[62, 49, 17], Operations: ['28-11=17']
Exploring Operation: 62+17=79, Resulting Numbers: [49, 79]
Generated Node #0,3,2: 55:[49, 79] Operation: 62+17=79
Moving to Node #0,3,2
Current State: 55:[49, 79], Operations: ['28-11=17', '62+17=79']
Exploring Operation: 79-49=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,3
Current State: 55:[62, 49, 17], Operations: ['28-11=17']
Exploring Operation: 49-17=32, Resulting Numbers: [62, 32]
Generated Node #0,3,3: 55:[62, 32] Operation: 49-17=32
Moving to Node #0,3,3
Current State: 55:[62, 32], Operations: ['28-11=17', '49-17=32']
Exploring Operation: 62-32=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,3,3
Current State: 55:[62, 32], Operations: ['28-11=17', '49-17=32']
Exploring Operation: 62+32=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,3
Current State: 55:[62, 49, 17], Operations: ['28-11=17']
Exploring Operation: 62-49=13, Resulting Numbers: [17, 13]
Generated Node #0,3,4: 55:[17, 13] Operation: 62-49=13
Moving to Node #0,3,4
Current State: 55:[17, 13], Operations: ['28-11=17', '62-49=13']
Exploring Operation: 17+13=30, Resulting Numbers: [30]
30,55 unequal: No Solution
Moving to Node #0,3,4
Current State: 55:[17, 13], Operations: ['28-11=17', '62-49=13']
Exploring Operation: 17-13=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,3
Current State: 55:[62, 49, 17], Operations: ['28-11=17']
Exploring Operation: 62+49=111, Resulting Numbers: [17, 111]
Generated Node #0,3,5: 55:[17, 111] Operation: 62+49=111
Moving to Node #0,3,5
Current State: 55:[17, 111], Operations: ['28-11=17', '62+49=111']
Exploring Operation: 111-17=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0
Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 11+62=73, Resulting Numbers: [28, 49, 73]
Generated Node #0,4: 55:[28, 49, 73] Operation: 11+62=73
Moving to Node #0,4
Current State: 55:[28, 49, 73], Operations: ['11+62=73']
Exploring Operation: 73-28=45, Resulting Numbers: [49, 45]
Generated Node #0,4,0: 55:[49, 45] Operation: 73-28=45
Moving to Node #0,4,0
Current State: 55:[49, 45], Operations: ['11+62=73', '73-28=45']
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,4,0
Current State: 55:[49, 45], Operations: ['11+62=73', '73-28=45']
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,4
Current State: 55:[28, 49, 73], Operations: ['11+62=73']
Exploring Operation: 28+49=77, Resulting Numbers: [73, 77]
Generated Node #0,4,1: 55:[73, 77] Operation: 28+49=77
Moving to Node #0,4,1
Current State: 55:[73, 77], Operations: ['11+62=73', '28+49=77']
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,4
Current State: 55:[28, 49, 73], Operations: ['11+62=73']
Exploring Operation: 49-28=21, Resulting Numbers: [73, 21]
Generated Node #0,4,2: 55:[73, 21] Operation: 49-28=21
Moving to Node #0,4,2
Current State: 55:[73, 21], Operations: ['11+62=73', '49-28=21']
Exploring Operation: 73-21=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,4,2
Current State: 55:[73, 21], Operations: ['11+62=73', '49-28=21']
Exploring Operation: 73+21=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,4
Current State: 55:[28, 49, 73], Operations: ['11+62=73']
Exploring Operation: 28+73=101, Resulting Numbers: [49, 101]
Generated Node #0,4,3: 55:[49, 101] Operation: 28+73=101
Moving to Node #0,4,3
Current State: 55:[49, 101], Operations: ['11+62=73', '28+73=101']
Exploring Operation: 101-49=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,4
Current State: 55:[28, 49, 73], Operations: ['11+62=73']
Exploring Operation: 73-49=24, Resulting Numbers: [28, 24]
Generated Node #0,4,4: 55:[28, 24] Operation: 73-49=24
Moving to Node #0,4,4
Current State: 55:[28, 24], Operations: ['11+62=73', '73-49=24']
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,4,4
Current State: 55:[28, 24], Operations: ['11+62=73', '73-49=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,4
Current State: 55:[28, 49, 73], Operations: ['11+62=73']
Exploring Operation: 49+73=122, Resulting Numbers: [28, 122]
Generated Node #0,4,5: 55:[28, 122] Operation: 49+73=122
Moving to Node #0,4,5
Current State: 55:[28, 122], Operations: ['11+62=73', '49+73=122']
Exploring Operation: 122-28=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0
Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 49-11=38, Resulting Numbers: [28, 62, 38]
Generated Node #0,5: 55:[28, 62, 38] Operation: 49-11=38
Moving to Node #0,5
Current State: 55:[28, 62, 38], Operations: ['49-11=38']
Exploring Operation: 28+38=66, Resulting Numbers: [62, 66]
Generated Node #0,5,0: 55:[62, 66] Operation: 28+38=66
Moving to Node #0,5,0
Current State: 55:[62, 66], Operations: ['49-11=38', '28+38=66']
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,5
Current State: 55:[28, 62, 38], Operations: ['49-11=38']
Exploring Operation: 62-28=34, Resulting Numbers: [38, 34]
Generated Node #0,5,1: 55:[38, 34] Operation: 62-28=34
Moving to Node #0,5,1
Current State: 55:[38, 34], Operations: ['49-11=38', '62-28=34']
Exploring Operation: 38+34=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,5,1
Current State: 55:[38, 34], Operations: ['49-11=38', '62-28=34']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,5
Current State: 55:[28, 62, 38], Operations: ['49-11=38']
Exploring Operation: 28+62=90, Resulting Numbers: [38, 90]
Generated Node #0,5,2: 55:[38, 90] Operation: 28+62=90
Moving to Node #0,5,2
Current State: 55:[38, 90], Operations: ['49-11=38', '28+62=90']
Exploring Operation: 90-38=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,5
Current State: 55:[28, 62, 38], Operations: ['49-11=38']
Exploring Operation: 38-28=10, Resulting Numbers: [62, 10]
Generated Node #0,5,3: 55:[62, 10] Operation: 38-28=10
Moving to Node #0,5,3
Current State: 55:[62, 10], Operations: ['49-11=38', '38-28=10']
Exploring Operation: 62-10=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,5,3
Current State: 55:[62, 10], Operations: ['49-11=38', '38-28=10']
Exploring Operation: 62+10=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,5
Current State: 55:[28, 62, 38], Operations: ['49-11=38']
Exploring Operation: 62-38=24, Resulting Numbers: [28, 24]
Generated Node #0,5,4: 55:[28, 24] Operation: 62-38=24
Moving to Node #0,5,4
Current State: 55:[28, 24], Operations: ['49-11=38', '62-38=24']
Exploring Operation: 28+24=52, Resulting Numbers: [52]
52,55 unequal: No Solution
Moving to Node #0,5,4
Current State: 55:[28, 24], Operations: ['49-11=38', '62-38=24']
Exploring Operation: 28-24=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,5
Current State: 55:[28, 62, 38], Operations: ['49-11=38']
Exploring Operation: 62+38=100, Resulting Numbers: [28, 100]
Generated Node #0,5,5: 55:[28, 100] Operation: 62+38=100
Moving to Node #0,5,5
Current State: 55:[28, 100], Operations: ['49-11=38', '62+38=100']
Exploring Operation: 100-28=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0
Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 62-28=34, Resulting Numbers: [11, 49, 34]
Generated Node #0,6: 55:[11, 49, 34] Operation: 62-28=34
Moving to Node #0,6
Current State: 55:[11, 49, 34], Operations: ['62-28=34']
Exploring Operation: 11+34=45, Resulting Numbers: [49, 45]
Generated Node #0,6,0: 55:[49, 45] Operation: 11+34=45
Moving to Node #0,6,0
Current State: 55:[49, 45], Operations: ['62-28=34', '11+34=45']
Exploring Operation: 49+45=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,6,0
Current State: 55:[49, 45], Operations: ['62-28=34', '11+34=45']
Exploring Operation: 49-45=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,6
Current State: 55:[11, 49, 34], Operations: ['62-28=34']
Exploring Operation: 11+49=60, Resulting Numbers: [34, 60]
Generated Node #0,6,1: 55:[34, 60] Operation: 11+49=60
Moving to Node #0,6,1
Current State: 55:[34, 60], Operations: ['62-28=34', '11+49=60']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,6,1
Current State: 55:[34, 60], Operations: ['62-28=34', '11+49=60']
Exploring Operation: 34+60=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,6
Current State: 55:[11, 49, 34], Operations: ['62-28=34']
Exploring Operation: 49-11=38, Resulting Numbers: [34, 38]
Generated Node #0,6,2: 55:[34, 38] Operation: 49-11=38
Moving to Node #0,6,2
Current State: 55:[34, 38], Operations: ['62-28=34', '49-11=38']
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,6,2
Current State: 55:[34, 38], Operations: ['62-28=34', '49-11=38']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,6
Current State: 55:[11, 49, 34], Operations: ['62-28=34']
Exploring Operation: 34-11=23, Resulting Numbers: [49, 23]
Generated Node #0,6,3: 55:[49, 23] Operation: 34-11=23
Moving to Node #0,6,3
Current State: 55:[49, 23], Operations: ['62-28=34', '34-11=23']
Exploring Operation: 49+23=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,6,3
Current State: 55:[49, 23], Operations: ['62-28=34', '34-11=23']
Exploring Operation: 49-23=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,6
Current State: 55:[11, 49, 34], Operations: ['62-28=34']
Exploring Operation: 49+34=83, Resulting Numbers: [11, 83]
Generated Node #0,6,4: 55:[11, 83] Operation: 49+34=83
Moving to Node #0,6,4
Current State: 55:[11, 83], Operations: ['62-28=34', '49+34=83']
Exploring Operation: 83-11=72, Resulting Numbers: [72]
72,55 unequal: No Solution
Moving to Node #0,6,4
Current State: 55:[11, 83], Operations: ['62-28=34', '49+34=83']
Exploring Operation: 11+83=94, Resulting Numbers: [94]
94,55 unequal: No Solution
Moving to Node #0,6
Current State: 55:[11, 49, 34], Operations: ['62-28=34']
Exploring Operation: 49-34=15, Resulting Numbers: [11, 15]
Generated Node #0,6,5: 55:[11, 15] Operation: 49-34=15
Moving to Node #0,6,5
Current State: 55:[11, 15], Operations: ['62-28=34', '49-34=15']
Exploring Operation: 11+15=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,6,5
Current State: 55:[11, 15], Operations: ['62-28=34', '49-34=15']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0
Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 28+49=77, Resulting Numbers: [11, 62, 77]
Generated Node #0,7: 55:[11, 62, 77] Operation: 28+49=77
Moving to Node #0,7
Current State: 55:[11, 62, 77], Operations: ['28+49=77']
Exploring Operation: 77-11=66, Resulting Numbers: [62, 66]
Generated Node #0,7,0: 55:[62, 66] Operation: 77-11=66
Moving to Node #0,7,0
Current State: 55:[62, 66], Operations: ['28+49=77', '77-11=66']
Exploring Operation: 66-62=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,7
Current State: 55:[11, 62, 77], Operations: ['28+49=77']
Exploring Operation: 62-11=51, Resulting Numbers: [77, 51]
Generated Node #0,7,1: 55:[77, 51] Operation: 62-11=51
Moving to Node #0,7,1
Current State: 55:[77, 51], Operations: ['28+49=77', '62-11=51']
Exploring Operation: 77-51=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,7
Current State: 55:[11, 62, 77], Operations: ['28+49=77']
Exploring Operation: 11+62=73, Resulting Numbers: [77, 73]
Generated Node #0,7,2: 55:[77, 73] Operation: 11+62=73
Moving to Node #0,7,2
Current State: 55:[77, 73], Operations: ['28+49=77', '11+62=73']
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,55 unequal: No Solution
Moving to Node #0,7
Current State: 55:[11, 62, 77], Operations: ['28+49=77']
Exploring Operation: 11+77=88, Resulting Numbers: [62, 88]
Generated Node #0,7,3: 55:[62, 88] Operation: 11+77=88
Moving to Node #0,7,3
Current State: 55:[62, 88], Operations: ['28+49=77', '11+77=88']
Exploring Operation: 88-62=26, Resulting Numbers: [26]
26,55 unequal: No Solution
Moving to Node #0,7
Current State: 55:[11, 62, 77], Operations: ['28+49=77']
Exploring Operation: 77/11=7, Resulting Numbers: [62, 7]
Generated Node #0,7,4: 55:[62, 7] Operation: 77/11=7
Moving to Node #0,7,4
Current State: 55:[62, 7], Operations: ['28+49=77', '77/11=7']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.885417 | dfs | Current State: 55:[28, 11, 62, 49], Operations: []
Exploring Operation: 28+49=77, Resulting Numbers: [11, 62, 77]
Generated Node #2: [11, 62, 77] from Operation: 28+49=77
Current State: 55:[11, 62, 77], Operations: ['28+49=77']
Exploring Operation: 77/11=7, Resulting Numbers: [62, 7]
Generated Node #3: [62, 7] from Operation: 77/11=7
Current State: 55:[62, 7], Operations: ['28+49=77', '77/11=7']
Exploring Operation: 62-7=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| sum_heuristic |
[
54,
85,
66,
38
] | 52 | [
"85-66=19",
"38/19=2",
"54-2=52"
] | Current State: 52:[54, 85, 66, 38], Operations: []
Exploring Operation: 85-38=47, Resulting Numbers: [54, 66, 47]
Generated Node #0,0: 52:[54, 66, 47] Operation: 85-38=47
Moving to Node #0,0
Current State: 52:[54, 66, 47], Operations: ['85-38=47']
Exploring Operation: 66-47=19, Resulting Numbers: [54, 19]
Generated Node #0,0,0: 52:[54, 19] Operation: 66-47=19
Moving to Node #0,0,0
Current State: 52:[54, 19], Operations: ['85-38=47', '66-47=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Moving to Node #0,0,0
Current State: 52:[54, 19], Operations: ['85-38=47', '66-47=19']
Exploring Operation: 54+19=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[54, 66, 47], Operations: ['85-38=47']
Exploring Operation: 66-54=12, Resulting Numbers: [47, 12]
Generated Node #0,0,1: 52:[47, 12] Operation: 66-54=12
Moving to Node #0,0,1
Current State: 52:[47, 12], Operations: ['85-38=47', '66-54=12']
Exploring Operation: 47+12=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Moving to Node #0,0,1
Current State: 52:[47, 12], Operations: ['85-38=47', '66-54=12']
Exploring Operation: 47-12=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[54, 66, 47], Operations: ['85-38=47']
Exploring Operation: 54-47=7, Resulting Numbers: [66, 7]
Generated Node #0,0,2: 52:[66, 7] Operation: 54-47=7
Moving to Node #0,0,2
Current State: 52:[66, 7], Operations: ['85-38=47', '54-47=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Moving to Node #0,0,2
Current State: 52:[66, 7], Operations: ['85-38=47', '54-47=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[54, 66, 47], Operations: ['85-38=47']
Exploring Operation: 54+47=101, Resulting Numbers: [66, 101]
Generated Node #0,0,3: 52:[66, 101] Operation: 54+47=101
Moving to Node #0,0,3
Current State: 52:[66, 101], Operations: ['85-38=47', '54+47=101']
Exploring Operation: 101-66=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[54, 66, 47], Operations: ['85-38=47']
Exploring Operation: 66+47=113, Resulting Numbers: [54, 113]
Generated Node #0,0,4: 52:[54, 113] Operation: 66+47=113
Moving to Node #0,0,4
Current State: 52:[54, 113], Operations: ['85-38=47', '66+47=113']
Exploring Operation: 113-54=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Moving to Node #0,0
Current State: 52:[54, 66, 47], Operations: ['85-38=47']
Exploring Operation: 54+66=120, Resulting Numbers: [47, 120]
Generated Node #0,0,5: 52:[47, 120] Operation: 54+66=120
Moving to Node #0,0,5
Current State: 52:[47, 120], Operations: ['85-38=47', '54+66=120']
Exploring Operation: 120-47=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0
Current State: 52:[54, 85, 66, 38], Operations: []
Exploring Operation: 85-54=31, Resulting Numbers: [66, 38, 31]
Generated Node #0,1: 52:[66, 38, 31] Operation: 85-54=31
Moving to Node #0,1
Current State: 52:[66, 38, 31], Operations: ['85-54=31']
Exploring Operation: 66-31=35, Resulting Numbers: [38, 35]
Generated Node #0,1,0: 52:[38, 35] Operation: 66-31=35
Moving to Node #0,1,0
Current State: 52:[38, 35], Operations: ['85-54=31', '66-31=35']
Exploring Operation: 38+35=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0,1,0
Current State: 52:[38, 35], Operations: ['85-54=31', '66-31=35']
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[66, 38, 31], Operations: ['85-54=31']
Exploring Operation: 38+31=69, Resulting Numbers: [66, 69]
Generated Node #0,1,1: 52:[66, 69] Operation: 38+31=69
Moving to Node #0,1,1
Current State: 52:[66, 69], Operations: ['85-54=31', '38+31=69']
Exploring Operation: 69-66=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[66, 38, 31], Operations: ['85-54=31']
Exploring Operation: 66-38=28, Resulting Numbers: [31, 28]
Generated Node #0,1,2: 52:[31, 28] Operation: 66-38=28
Moving to Node #0,1,2
Current State: 52:[31, 28], Operations: ['85-54=31', '66-38=28']
Exploring Operation: 31+28=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Moving to Node #0,1,2
Current State: 52:[31, 28], Operations: ['85-54=31', '66-38=28']
Exploring Operation: 31-28=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[66, 38, 31], Operations: ['85-54=31']
Exploring Operation: 66+31=97, Resulting Numbers: [38, 97]
Generated Node #0,1,3: 52:[38, 97] Operation: 66+31=97
Moving to Node #0,1,3
Current State: 52:[38, 97], Operations: ['85-54=31', '66+31=97']
Exploring Operation: 97-38=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[66, 38, 31], Operations: ['85-54=31']
Exploring Operation: 38-31=7, Resulting Numbers: [66, 7]
Generated Node #0,1,4: 52:[66, 7] Operation: 38-31=7
Moving to Node #0,1,4
Current State: 52:[66, 7], Operations: ['85-54=31', '38-31=7']
Exploring Operation: 66-7=59, Resulting Numbers: [59]
59,52 unequal: No Solution
Moving to Node #0,1,4
Current State: 52:[66, 7], Operations: ['85-54=31', '38-31=7']
Exploring Operation: 66+7=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0,1
Current State: 52:[66, 38, 31], Operations: ['85-54=31']
Exploring Operation: 66+38=104, Resulting Numbers: [31, 104]
Generated Node #0,1,5: 52:[31, 104] Operation: 66+38=104
Moving to Node #0,1,5
Current State: 52:[31, 104], Operations: ['85-54=31', '66+38=104']
Exploring Operation: 104-31=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0
Current State: 52:[54, 85, 66, 38], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [54, 38, 19]
Generated Node #0,2: 52:[54, 38, 19] Operation: 85-66=19
Moving to Node #0,2
Current State: 52:[54, 38, 19], Operations: ['85-66=19']
Exploring Operation: 38+19=57, Resulting Numbers: [54, 57]
Generated Node #0,2,0: 52:[54, 57] Operation: 38+19=57
Moving to Node #0,2,0
Current State: 52:[54, 57], Operations: ['85-66=19', '38+19=57']
Exploring Operation: 57-54=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,2
Current State: 52:[54, 38, 19], Operations: ['85-66=19']
Exploring Operation: 54-19=35, Resulting Numbers: [38, 35]
Generated Node #0,2,1: 52:[38, 35] Operation: 54-19=35
Moving to Node #0,2,1
Current State: 52:[38, 35], Operations: ['85-66=19', '54-19=35']
Exploring Operation: 38+35=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0,2,1
Current State: 52:[38, 35], Operations: ['85-66=19', '54-19=35']
Exploring Operation: 38-35=3, Resulting Numbers: [3]
3,52 unequal: No Solution
Moving to Node #0,2
Current State: 52:[54, 38, 19], Operations: ['85-66=19']
Exploring Operation: 54+19=73, Resulting Numbers: [38, 73]
Generated Node #0,2,2: 52:[38, 73] Operation: 54+19=73
Moving to Node #0,2,2
Current State: 52:[38, 73], Operations: ['85-66=19', '54+19=73']
Exploring Operation: 73-38=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Moving to Node #0,2
Current State: 52:[54, 38, 19], Operations: ['85-66=19']
Exploring Operation: 38-19=19, Resulting Numbers: [54, 19]
Generated Node #0,2,3: 52:[54, 19] Operation: 38-19=19
Moving to Node #0,2,3
Current State: 52:[54, 19], Operations: ['85-66=19', '38-19=19']
Exploring Operation: 54-19=35, Resulting Numbers: [35]
35,52 unequal: No Solution
Moving to Node #0,2,3
Current State: 52:[54, 19], Operations: ['85-66=19', '38-19=19']
Exploring Operation: 54+19=73, Resulting Numbers: [73]
73,52 unequal: No Solution
Moving to Node #0,2
Current State: 52:[54, 38, 19], Operations: ['85-66=19']
Exploring Operation: 38/19=2, Resulting Numbers: [54, 2]
Generated Node #0,2,4: 52:[54, 2] Operation: 38/19=2
Moving to Node #0,2,4
Current State: 52:[54, 2], Operations: ['85-66=19', '38/19=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 0.960069 | dfs | Current State: 52:[54, 85, 66, 38], Operations: []
Exploring Operation: 85-66=19, Resulting Numbers: [54, 38, 19]
Generated Node #2: [54, 38, 19] from Operation: 85-66=19
Current State: 52:[54, 38, 19], Operations: ['85-66=19']
Exploring Operation: 38/19=2, Resulting Numbers: [54, 2]
Generated Node #3: [54, 2] from Operation: 38/19=2
Current State: 52:[54, 2], Operations: ['85-66=19', '38/19=2']
Exploring Operation: 54-2=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| sum_heuristic |
[
74,
8,
72,
46
] | 24 | [
"74+72=146",
"46+146=192",
"192/8=24"
] | Current State: 24:[74, 8, 72, 46], Operations: []
Exploring Operation: 74-72=2, Resulting Numbers: [8, 46, 2]
Generated Node #0,0: 24:[8, 46, 2] Operation: 74-72=2
Moving to Node #0,0
Current State: 24:[8, 46, 2], Operations: ['74-72=2']
Exploring Operation: 46/2=23, Resulting Numbers: [8, 23]
Generated Node #0,0,0: 24:[8, 23] Operation: 46/2=23
Moving to Node #0,0,0
Current State: 24:[8, 23], Operations: ['74-72=2', '46/2=23']
Exploring Operation: 8+23=31, Resulting Numbers: [31]
31,24 unequal: No Solution
Moving to Node #0,0,0
Current State: 24:[8, 23], Operations: ['74-72=2', '46/2=23']
Exploring Operation: 23-8=15, Resulting Numbers: [15]
15,24 unequal: No Solution
Moving to Node #0,0
Current State: 24:[8, 46, 2], Operations: ['74-72=2']
Exploring Operation: 8*2=16, Resulting Numbers: [46, 16]
Generated Node #0,0,1: 24:[46, 16] Operation: 8*2=16
Moving to Node #0,0,1
Current State: 24:[46, 16], Operations: ['74-72=2', '8*2=16']
Exploring Operation: 46-16=30, Resulting Numbers: [30]
30,24 unequal: No Solution
Moving to Node #0,0
Current State: 24:[8, 46, 2], Operations: ['74-72=2']
Exploring Operation: 46-8=38, Resulting Numbers: [2, 38]
Generated Node #0,0,2: 24:[2, 38] Operation: 46-8=38
Moving to Node #0,0,2
Current State: 24:[2, 38], Operations: ['74-72=2', '46-8=38']
Exploring Operation: 38/2=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[2, 38], Operations: ['74-72=2', '46-8=38']
Exploring Operation: 38-2=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[2, 38], Operations: ['74-72=2', '46-8=38']
Exploring Operation: 2+38=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Moving to Node #0,0
Current State: 24:[8, 46, 2], Operations: ['74-72=2']
Exploring Operation: 8+2=10, Resulting Numbers: [46, 10]
Generated Node #0,0,3: 24:[46, 10] Operation: 8+2=10
Moving to Node #0,0,3
Current State: 24:[46, 10], Operations: ['74-72=2', '8+2=10']
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Moving to Node #0,0
Current State: 24:[8, 46, 2], Operations: ['74-72=2']
Exploring Operation: 46-2=44, Resulting Numbers: [8, 44]
Generated Node #0,0,4: 24:[8, 44] Operation: 46-2=44
Moving to Node #0,0,4
Current State: 24:[8, 44], Operations: ['74-72=2', '46-2=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Moving to Node #0,0
Current State: 24:[8, 46, 2], Operations: ['74-72=2']
Exploring Operation: 8-2=6, Resulting Numbers: [46, 6]
Generated Node #0,0,5: 24:[46, 6] Operation: 8-2=6
Moving to Node #0,0,5
Current State: 24:[46, 6], Operations: ['74-72=2', '8-2=6']
Exploring Operation: 46-6=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Moving to Node #0,0
Current State: 24:[8, 46, 2], Operations: ['74-72=2']
Exploring Operation: 46+2=48, Resulting Numbers: [8, 48]
Generated Node #0,0,6: 24:[8, 48] Operation: 46+2=48
Moving to Node #0,0,6
Current State: 24:[8, 48], Operations: ['74-72=2', '46+2=48']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Moving to Node #0,0,6
Current State: 24:[8, 48], Operations: ['74-72=2', '46+2=48']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Moving to Node #0,0
Current State: 24:[8, 46, 2], Operations: ['74-72=2']
Exploring Operation: 8/2=4, Resulting Numbers: [46, 4]
Generated Node #0,0,7: 24:[46, 4] Operation: 8/2=4
Moving to Node #0,0,7
Current State: 24:[46, 4], Operations: ['74-72=2', '8/2=4']
Exploring Operation: 46-4=42, Resulting Numbers: [42]
42,24 unequal: No Solution
Moving to Node #0
Current State: 24:[74, 8, 72, 46], Operations: []
Exploring Operation: 74-46=28, Resulting Numbers: [8, 72, 28]
Generated Node #0,1: 24:[8, 72, 28] Operation: 74-46=28
Moving to Node #0,1
Current State: 24:[8, 72, 28], Operations: ['74-46=28']
Exploring Operation: 72/8=9, Resulting Numbers: [28, 9]
Generated Node #0,1,0: 24:[28, 9] Operation: 72/8=9
Moving to Node #0,1,0
Current State: 24:[28, 9], Operations: ['74-46=28', '72/8=9']
Exploring Operation: 28-9=19, Resulting Numbers: [19]
19,24 unequal: No Solution
Moving to Node #0,1,0
Current State: 24:[28, 9], Operations: ['74-46=28', '72/8=9']
Exploring Operation: 28+9=37, Resulting Numbers: [37]
37,24 unequal: No Solution
Moving to Node #0,1
Current State: 24:[8, 72, 28], Operations: ['74-46=28']
Exploring Operation: 72-28=44, Resulting Numbers: [8, 44]
Generated Node #0,1,1: 24:[8, 44] Operation: 72-28=44
Moving to Node #0,1,1
Current State: 24:[8, 44], Operations: ['74-46=28', '72-28=44']
Exploring Operation: 44-8=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Moving to Node #0,1
Current State: 24:[8, 72, 28], Operations: ['74-46=28']
Exploring Operation: 72-8=64, Resulting Numbers: [28, 64]
Generated Node #0,1,2: 24:[28, 64] Operation: 72-8=64
Moving to Node #0,1,2
Current State: 24:[28, 64], Operations: ['74-46=28', '72-8=64']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,24 unequal: No Solution
Moving to Node #0
Current State: 24:[74, 8, 72, 46], Operations: []
Exploring Operation: 72-46=26, Resulting Numbers: [74, 8, 26]
Generated Node #0,2: 24:[74, 8, 26] Operation: 72-46=26
Moving to Node #0,2
Current State: 24:[74, 8, 26], Operations: ['72-46=26']
Exploring Operation: 74-26=48, Resulting Numbers: [8, 48]
Generated Node #0,2,0: 24:[8, 48] Operation: 74-26=48
Moving to Node #0,2,0
Current State: 24:[8, 48], Operations: ['72-46=26', '74-26=48']
Exploring Operation: 48-8=40, Resulting Numbers: [40]
40,24 unequal: No Solution
Moving to Node #0,2,0
Current State: 24:[8, 48], Operations: ['72-46=26', '74-26=48']
Exploring Operation: 48/8=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Moving to Node #0,2
Current State: 24:[74, 8, 26], Operations: ['72-46=26']
Exploring Operation: 74-8=66, Resulting Numbers: [26, 66]
Generated Node #0,2,1: 24:[26, 66] Operation: 74-8=66
Moving to Node #0,2,1
Current State: 24:[26, 66], Operations: ['72-46=26', '74-8=66']
Exploring Operation: 66-26=40, Resulting Numbers: [40]
40,24 unequal: No Solution
| 0 | dfs | Current State: 24:[74, 8, 72, 46], Operations: []
Exploring Operation: 74+72=146, Resulting Numbers: [8, 46, 146]
Generated Node #2: [8, 46, 146] from Operation: 74+72=146
Current State: 24:[8, 46, 146], Operations: ['74+72=146']
Exploring Operation: 46+146=192, Resulting Numbers: [8, 192]
Generated Node #3: [8, 192] from Operation: 46+146=192
Current State: 24:[8, 192], Operations: ['74+72=146', '46+146=192']
Exploring Operation: 192/8=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| sum_heuristic |
[
7,
72,
75,
54
] | 51 | [
"75-7=68",
"54*68=3672",
"3672/72=51"
] | Current State: 51:[7, 72, 75, 54], Operations: []
Exploring Operation: 72-54=18, Resulting Numbers: [7, 75, 18]
Generated Node #0,0: 51:[7, 75, 18] Operation: 72-54=18
Exploring Operation: 75-72=3, Resulting Numbers: [7, 54, 3]
Generated Node #0,1: 51:[7, 54, 3] Operation: 75-72=3
Exploring Operation: 75-54=21, Resulting Numbers: [7, 72, 21]
Generated Node #0,2: 51:[7, 72, 21] Operation: 75-54=21
Moving to Node #0,1
Current State: 51:[7, 54, 3], Operations: ['75-72=3']
Exploring Operation: 7-3=4, Resulting Numbers: [54, 4]
Generated Node #0,1,0: 51:[54, 4] Operation: 7-3=4
Exploring Operation: 54-3=51, Resulting Numbers: [7, 51]
Generated Node #0,1,1: 51:[7, 51] Operation: 54-3=51
Exploring Operation: 54-7=47, Resulting Numbers: [3, 47]
Generated Node #0,1,2: 51:[3, 47] Operation: 54-7=47
Moving to Node #0,0
Current State: 51:[7, 75, 18], Operations: ['72-54=18']
Exploring Operation: 18-7=11, Resulting Numbers: [75, 11]
Generated Node #0,0,0: 51:[75, 11] Operation: 18-7=11
Exploring Operation: 75-18=57, Resulting Numbers: [7, 57]
Generated Node #0,0,1: 51:[7, 57] Operation: 75-18=57
Exploring Operation: 75-7=68, Resulting Numbers: [18, 68]
Generated Node #0,0,2: 51:[18, 68] Operation: 75-7=68
Moving to Node #0,2
Current State: 51:[7, 72, 21], Operations: ['75-54=21']
Exploring Operation: 21/7=3, Resulting Numbers: [72, 3]
Generated Node #0,2,0: 51:[72, 3] Operation: 21/7=3
Exploring Operation: 72-7=65, Resulting Numbers: [21, 65]
Generated Node #0,2,1: 51:[21, 65] Operation: 72-7=65
Exploring Operation: 72-21=51, Resulting Numbers: [7, 51]
Generated Node #0,2,2: 51:[7, 51] Operation: 72-21=51
Moving to Node #0,1,0
Current State: 51:[54, 4], Operations: ['75-72=3', '7-3=4']
Exploring Operation: 54*4=216, Resulting Numbers: [216]
216,51 unequal: No Solution
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Moving to Node #0,1,2
Current State: 51:[3, 47], Operations: ['75-72=3', '54-7=47']
Exploring Operation: 3*47=141, Resulting Numbers: [141]
141,51 unequal: No Solution
Exploring Operation: 3+47=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,51 unequal: No Solution
Moving to Node #0,2,2
Current State: 51:[7, 51], Operations: ['75-54=21', '72-21=51']
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,51 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,51 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 51:[50], Operations: ['75-72=3', '7-3=4', '54-4=50']
Moving to Node #0,1,2,0
Current State: 51:[50], Operations: ['75-72=3', '54-7=47', '3+47=50']
Moving to Node #0,1,1
Current State: 51:[7, 51], Operations: ['75-72=3', '54-3=51']
Exploring Operation: 7*51=357, Resulting Numbers: [357]
357,51 unequal: No Solution
Exploring Operation: 51-7=44, Resulting Numbers: [44]
44,51 unequal: No Solution
Exploring Operation: 7+51=58, Resulting Numbers: [58]
58,51 unequal: No Solution
Moving to Node #0,2,2,0
Current State: 51:[58], Operations: ['75-54=21', '72-21=51', '7+51=58']
Moving to Node #0,2,2,0
Current State: 51:[44], Operations: ['75-54=21', '72-21=51', '51-7=44']
Moving to Node #0,1,1,0
Current State: 51:[58], Operations: ['75-72=3', '54-3=51', '7+51=58']
Moving to Node #0,1,1,0
Current State: 51:[44], Operations: ['75-72=3', '54-3=51', '51-7=44']
Moving to Node #0,1,0,0
Current State: 51:[58], Operations: ['75-72=3', '7-3=4', '54+4=58']
Moving to Node #0,1,2,0
Current State: 51:[44], Operations: ['75-72=3', '54-7=47', '47-3=44']
Moving to Node #0,0,1
Current State: 51:[7, 57], Operations: ['72-54=18', '75-18=57']
Exploring Operation: 7+57=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Exploring Operation: 57-7=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 7*57=399, Resulting Numbers: [399]
399,51 unequal: No Solution
Moving to Node #0,2,1
Current State: 51:[21, 65], Operations: ['75-54=21', '72-7=65']
Exploring Operation: 21+65=86, Resulting Numbers: [86]
86,51 unequal: No Solution
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,51 unequal: No Solution
Exploring Operation: 21*65=1365, Resulting Numbers: [1365]
1365,51 unequal: No Solution
Moving to Node #0,0,2
Current State: 51:[18, 68], Operations: ['72-54=18', '75-7=68']
Exploring Operation: 18*68=1224, Resulting Numbers: [1224]
1224,51 unequal: No Solution
Exploring Operation: 68-18=50, Resulting Numbers: [50]
50,51 unequal: No Solution
Exploring Operation: 18+68=86, Resulting Numbers: [86]
86,51 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 51:[50], Operations: ['72-54=18', '75-18=57', '57-7=50']
Moving to Node #0,0,2,0
Current State: 51:[50], Operations: ['72-54=18', '75-7=68', '68-18=50']
Moving to Node #0,2,1,0
Current State: 51:[44], Operations: ['75-54=21', '72-7=65', '65-21=44']
Moving to Node #0,0,1,0
Current State: 51:[64], Operations: ['72-54=18', '75-18=57', '7+57=64']
Moving to Node #0,2,0
Current State: 51:[72, 3], Operations: ['75-54=21', '21/7=3']
Exploring Operation: 72-3=69, Resulting Numbers: [69]
69,51 unequal: No Solution
Exploring Operation: 72/3=24, Resulting Numbers: [24]
24,51 unequal: No Solution
Exploring Operation: 72+3=75, Resulting Numbers: [75]
75,51 unequal: No Solution
Moving to Node #0,0,0
Current State: 51:[75, 11], Operations: ['72-54=18', '18-7=11']
Exploring Operation: 75*11=825, Resulting Numbers: [825]
825,51 unequal: No Solution
Exploring Operation: 75+11=86, Resulting Numbers: [86]
86,51 unequal: No Solution
Exploring Operation: 75-11=64, Resulting Numbers: [64]
64,51 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 51:[24], Operations: ['75-54=21', '21/7=3', '72/3=24']
Moving to Node #0,0,0,0
Current State: 51:[64], Operations: ['72-54=18', '18-7=11', '75-11=64']
Moving to Node #0,2,0,0
Current State: 51:[69], Operations: ['75-54=21', '21/7=3', '72-3=69']
Moving to Node #0,2,0,0
Current State: 51:[75], Operations: ['75-54=21', '21/7=3', '72+3=75']
Moving to Node #0,0,0,0
Current State: 51:[86], Operations: ['72-54=18', '18-7=11', '75+11=86']
Moving to Node #0,2,1,0
Current State: 51:[86], Operations: ['75-54=21', '72-7=65', '21+65=86']
Moving to Node #0,0,2,0
Current State: 51:[86], Operations: ['72-54=18', '75-7=68', '18+68=86']
Moving to Node #0,1,2,0
Current State: 51:[141], Operations: ['75-72=3', '54-7=47', '3*47=141']
Moving to Node #0,1,0,0
Current State: 51:[216], Operations: ['75-72=3', '7-3=4', '54*4=216']
Moving to Node #0,1,1,0
Current State: 51:[357], Operations: ['75-72=3', '54-3=51', '7*51=357']
Moving to Node #0,2,2,0
Current State: 51:[357], Operations: ['75-54=21', '72-21=51', '7*51=357']
Moving to Node #0,0,1,0
Current State: 51:[399], Operations: ['72-54=18', '75-18=57', '7*57=399']
Moving to Node #0,0,0,0
Current State: 51:[825], Operations: ['72-54=18', '18-7=11', '75*11=825']
Moving to Node #0,0,2,0
Current State: 51:[1224], Operations: ['72-54=18', '75-7=68', '18*68=1224']
Moving to Node #0,2,1,0
Current State: 51:[1365], Operations: ['75-54=21', '72-7=65', '21*65=1365']
No solution found. | 0 | bfs_3 | Current State: 51:[7, 72, 75, 54], Operations: []
Exploring Operation: 75-7=68, Resulting Numbers: [72, 54, 68]
Generated Node #2: [72, 54, 68] from Operation: 75-7=68
Current State: 51:[72, 54, 68], Operations: ['75-7=68']
Exploring Operation: 54*68=3672, Resulting Numbers: [72, 3672]
Generated Node #3: [72, 3672] from Operation: 54*68=3672
Current State: 51:[72, 3672], Operations: ['75-7=68', '54*68=3672']
Exploring Operation: 3672/72=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| mult_heuristic |
[
2,
23,
44,
10
] | 47 | [
"2*10=20",
"23+44=67",
"67-20=47"
] | Current State: 47:[2, 23, 44, 10], Operations: []
Exploring Operation: 2*23=46, Resulting Numbers: [44, 10, 46]
Generated Node #0,0: 47:[44, 10, 46] Operation: 2*23=46
Moving to Node #0,0
Current State: 47:[44, 10, 46], Operations: ['2*23=46']
Exploring Operation: 44+10=54, Resulting Numbers: [46, 54]
Generated Node #0,0,0: 47:[46, 54] Operation: 44+10=54
Moving to Node #0,0,0
Current State: 47:[46, 54], Operations: ['2*23=46', '44+10=54']
Exploring Operation: 54-46=8, Resulting Numbers: [8]
8,47 unequal: No Solution
Moving to Node #0,0
Current State: 47:[44, 10, 46], Operations: ['2*23=46']
Exploring Operation: 10+46=56, Resulting Numbers: [44, 56]
Generated Node #0,0,1: 47:[44, 56] Operation: 10+46=56
Moving to Node #0,0,1
Current State: 47:[44, 56], Operations: ['2*23=46', '10+46=56']
Exploring Operation: 56-44=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Moving to Node #0,0
Current State: 47:[44, 10, 46], Operations: ['2*23=46']
Exploring Operation: 44-10=34, Resulting Numbers: [46, 34]
Generated Node #0,0,2: 47:[46, 34] Operation: 44-10=34
Moving to Node #0,0,2
Current State: 47:[46, 34], Operations: ['2*23=46', '44-10=34']
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Moving to Node #0,0,2
Current State: 47:[46, 34], Operations: ['2*23=46', '44-10=34']
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,47 unequal: No Solution
Moving to Node #0,0
Current State: 47:[44, 10, 46], Operations: ['2*23=46']
Exploring Operation: 46-10=36, Resulting Numbers: [44, 36]
Generated Node #0,0,3: 47:[44, 36] Operation: 46-10=36
Moving to Node #0,0,3
Current State: 47:[44, 36], Operations: ['2*23=46', '46-10=36']
Exploring Operation: 44+36=80, Resulting Numbers: [80]
80,47 unequal: No Solution
Moving to Node #0,0,3
Current State: 47:[44, 36], Operations: ['2*23=46', '46-10=36']
Exploring Operation: 44-36=8, Resulting Numbers: [8]
8,47 unequal: No Solution
| 0 | dfs | Current State: 47:[2, 23, 44, 10], Operations: []
Exploring Operation: 2*10=20, Resulting Numbers: [23, 44, 20]
Generated Node #2: [23, 44, 20] from Operation: 2*10=20
Current State: 47:[23, 44, 20], Operations: ['2*10=20']
Exploring Operation: 23+44=67, Resulting Numbers: [20, 67]
Generated Node #3: [20, 67] from Operation: 23+44=67
Current State: 47:[20, 67], Operations: ['2*10=20', '23+44=67']
Exploring Operation: 67-20=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| mult_heuristic |
[
10,
15,
15,
78
] | 53 | [
"10*78=780",
"15+780=795",
"795/15=53"
] | Current State: 53:[10, 15, 15, 78], Operations: []
| 0 | dfs | Current State: 53:[10, 15, 15, 78], Operations: []
Exploring Operation: 10*78=780, Resulting Numbers: [15, 15, 780]
Generated Node #2: [15, 15, 780] from Operation: 10*78=780
Current State: 53:[15, 15, 780], Operations: ['10*78=780']
Exploring Operation: 15+780=795, Resulting Numbers: [795]
795,53 equal: Goal Reached
Exploring Operation: 795/15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| mult_heuristic |
[
27,
88,
2,
46
] | 50 | [
"46-27=19",
"2*19=38",
"88-38=50"
] | Current State: 50:[27, 88, 2, 46], Operations: []
Exploring Operation: 88/2=44, Resulting Numbers: [27, 46, 44]
Generated Node #0,0: 50:[27, 46, 44] Operation: 88/2=44
Exploring Operation: 88-27=61, Resulting Numbers: [2, 46, 61]
Generated Node #0,1: 50:[2, 46, 61] Operation: 88-27=61
Exploring Operation: 27*2=54, Resulting Numbers: [88, 46, 54]
Generated Node #0,2: 50:[88, 46, 54] Operation: 27*2=54
Moving to Node #0,0
Current State: 50:[27, 46, 44], Operations: ['88/2=44']
Exploring Operation: 46-27=19, Resulting Numbers: [44, 19]
Generated Node #0,0,0: 50:[44, 19] Operation: 46-27=19
Exploring Operation: 27+46=73, Resulting Numbers: [44, 73]
Generated Node #0,0,1: 50:[44, 73] Operation: 27+46=73
Exploring Operation: 27+44=71, Resulting Numbers: [46, 71]
Generated Node #0,0,2: 50:[46, 71] Operation: 27+44=71
Moving to Node #0,2
Current State: 50:[88, 46, 54], Operations: ['27*2=54']
Exploring Operation: 88-46=42, Resulting Numbers: [54, 42]
Generated Node #0,2,0: 50:[54, 42] Operation: 88-46=42
Exploring Operation: 88-54=34, Resulting Numbers: [46, 34]
Generated Node #0,2,1: 50:[46, 34] Operation: 88-54=34
Exploring Operation: 54-46=8, Resulting Numbers: [88, 8]
Generated Node #0,2,2: 50:[88, 8] Operation: 54-46=8
Moving to Node #0,1
Current State: 50:[2, 46, 61], Operations: ['88-27=61']
Exploring Operation: 46-2=44, Resulting Numbers: [61, 44]
Generated Node #0,1,0: 50:[61, 44] Operation: 46-2=44
Exploring Operation: 2+46=48, Resulting Numbers: [61, 48]
Generated Node #0,1,1: 50:[61, 48] Operation: 2+46=48
Exploring Operation: 61-2=59, Resulting Numbers: [46, 59]
Generated Node #0,1,2: 50:[46, 59] Operation: 61-2=59
Moving to Node #0,2,0
Current State: 50:[54, 42], Operations: ['27*2=54', '88-46=42']
Exploring Operation: 54+42=96, Resulting Numbers: [96]
96,50 unequal: No Solution
Exploring Operation: 54*42=2268, Resulting Numbers: [2268]
2268,50 unequal: No Solution
Exploring Operation: 54-42=12, Resulting Numbers: [12]
12,50 unequal: No Solution
Moving to Node #0,1,1
Current State: 50:[61, 48], Operations: ['88-27=61', '2+46=48']
Exploring Operation: 61*48=2928, Resulting Numbers: [2928]
2928,50 unequal: No Solution
Exploring Operation: 61-48=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 61+48=109, Resulting Numbers: [109]
109,50 unequal: No Solution
Moving to Node #0,1,2
Current State: 50:[46, 59], Operations: ['88-27=61', '61-2=59']
Exploring Operation: 46+59=105, Resulting Numbers: [105]
105,50 unequal: No Solution
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,50 unequal: No Solution
Exploring Operation: 46*59=2714, Resulting Numbers: [2714]
2714,50 unequal: No Solution
Moving to Node #0,1,0
Current State: 50:[61, 44], Operations: ['88-27=61', '46-2=44']
Exploring Operation: 61-44=17, Resulting Numbers: [17]
17,50 unequal: No Solution
Exploring Operation: 61*44=2684, Resulting Numbers: [2684]
2684,50 unequal: No Solution
Exploring Operation: 61+44=105, Resulting Numbers: [105]
105,50 unequal: No Solution
Moving to Node #0,2,1
Current State: 50:[46, 34], Operations: ['27*2=54', '88-54=34']
Exploring Operation: 46-34=12, Resulting Numbers: [12]
12,50 unequal: No Solution
Exploring Operation: 46*34=1564, Resulting Numbers: [1564]
1564,50 unequal: No Solution
Exploring Operation: 46+34=80, Resulting Numbers: [80]
80,50 unequal: No Solution
Moving to Node #0,0,2
Current State: 50:[46, 71], Operations: ['88/2=44', '27+44=71']
Exploring Operation: 71-46=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Exploring Operation: 46+71=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 46*71=3266, Resulting Numbers: [3266]
3266,50 unequal: No Solution
Moving to Node #0,0,1
Current State: 50:[44, 73], Operations: ['88/2=44', '27+46=73']
Exploring Operation: 73-44=29, Resulting Numbers: [29]
29,50 unequal: No Solution
Exploring Operation: 44+73=117, Resulting Numbers: [117]
117,50 unequal: No Solution
Exploring Operation: 44*73=3212, Resulting Numbers: [3212]
3212,50 unequal: No Solution
Moving to Node #0,0,0
Current State: 50:[44, 19], Operations: ['88/2=44', '46-27=19']
Exploring Operation: 44+19=63, Resulting Numbers: [63]
63,50 unequal: No Solution
Exploring Operation: 44*19=836, Resulting Numbers: [836]
836,50 unequal: No Solution
Exploring Operation: 44-19=25, Resulting Numbers: [25]
25,50 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 50:[25], Operations: ['88/2=44', '27+44=71', '71-46=25']
Moving to Node #0,0,0,0
Current State: 50:[63], Operations: ['88/2=44', '46-27=19', '44+19=63']
Moving to Node #0,0,1,0
Current State: 50:[29], Operations: ['88/2=44', '27+46=73', '73-44=29']
Moving to Node #0,0,0,0
Current State: 50:[25], Operations: ['88/2=44', '46-27=19', '44-19=25']
Moving to Node #0,2,1,0
Current State: 50:[80], Operations: ['27*2=54', '88-54=34', '46+34=80']
Moving to Node #0,1,0,0
Current State: 50:[17], Operations: ['88-27=61', '46-2=44', '61-44=17']
Moving to Node #0,1,2,0
Current State: 50:[13], Operations: ['88-27=61', '61-2=59', '59-46=13']
Moving to Node #0,1,1,0
Current State: 50:[13], Operations: ['88-27=61', '2+46=48', '61-48=13']
Moving to Node #0,2,0,0
Current State: 50:[12], Operations: ['27*2=54', '88-46=42', '54-42=12']
Moving to Node #0,2,1,0
Current State: 50:[12], Operations: ['27*2=54', '88-54=34', '46-34=12']
Moving to Node #0,2,2
Current State: 50:[88, 8], Operations: ['27*2=54', '54-46=8']
Exploring Operation: 88/8=11, Resulting Numbers: [11]
11,50 unequal: No Solution
Exploring Operation: 88-8=80, Resulting Numbers: [80]
80,50 unequal: No Solution
Exploring Operation: 88+8=96, Resulting Numbers: [96]
96,50 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 50:[96], Operations: ['27*2=54', '88-46=42', '54+42=96']
Moving to Node #0,1,0,0
Current State: 50:[105], Operations: ['88-27=61', '46-2=44', '61+44=105']
Moving to Node #0,2,2,0
Current State: 50:[80], Operations: ['27*2=54', '54-46=8', '88-8=80']
Moving to Node #0,2,2,0
Current State: 50:[11], Operations: ['27*2=54', '54-46=8', '88/8=11']
Moving to Node #0,2,2,0
Current State: 50:[96], Operations: ['27*2=54', '54-46=8', '88+8=96']
Moving to Node #0,1,2,0
Current State: 50:[105], Operations: ['88-27=61', '61-2=59', '46+59=105']
Moving to Node #0,1,1,0
Current State: 50:[109], Operations: ['88-27=61', '2+46=48', '61+48=109']
Moving to Node #0,0,1,0
Current State: 50:[117], Operations: ['88/2=44', '27+46=73', '44+73=117']
Moving to Node #0,0,2,0
Current State: 50:[117], Operations: ['88/2=44', '27+44=71', '46+71=117']
Moving to Node #0,0,0,0
Current State: 50:[836], Operations: ['88/2=44', '46-27=19', '44*19=836']
Moving to Node #0,2,1,0
Current State: 50:[1564], Operations: ['27*2=54', '88-54=34', '46*34=1564']
Moving to Node #0,2,0,0
Current State: 50:[2268], Operations: ['27*2=54', '88-46=42', '54*42=2268']
Moving to Node #0,1,0,0
Current State: 50:[2684], Operations: ['88-27=61', '46-2=44', '61*44=2684']
Moving to Node #0,1,2,0
Current State: 50:[2714], Operations: ['88-27=61', '61-2=59', '46*59=2714']
Moving to Node #0,1,1,0
Current State: 50:[2928], Operations: ['88-27=61', '2+46=48', '61*48=2928']
Moving to Node #0,0,1,0
Current State: 50:[3212], Operations: ['88/2=44', '27+46=73', '44*73=3212']
Moving to Node #0,0,2,0
Current State: 50:[3266], Operations: ['88/2=44', '27+44=71', '46*71=3266']
No solution found. | 0 | bfs_3 | Current State: 50:[27, 88, 2, 46], Operations: []
Exploring Operation: 46-27=19, Resulting Numbers: [88, 2, 19]
Generated Node #2: [88, 2, 19] from Operation: 46-27=19
Current State: 50:[88, 2, 19], Operations: ['46-27=19']
Exploring Operation: 2*19=38, Resulting Numbers: [88, 38]
Generated Node #3: [88, 38] from Operation: 2*19=38
Current State: 50:[88, 38], Operations: ['46-27=19', '2*19=38']
Exploring Operation: 88-38=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| sum_heuristic |
[
29,
84,
65,
3
] | 45 | [
"29+84=113",
"65+3=68",
"113-68=45"
] | Current State: 45:[29, 84, 65, 3], Operations: []
Exploring Operation: 84-29=55, Resulting Numbers: [65, 3, 55]
Generated Node #0,0: 45:[65, 3, 55] Operation: 84-29=55
Exploring Operation: 84-65=19, Resulting Numbers: [29, 3, 19]
Generated Node #0,1: 45:[29, 3, 19] Operation: 84-65=19
Exploring Operation: 84/3=28, Resulting Numbers: [29, 65, 28]
Generated Node #0,2: 45:[29, 65, 28] Operation: 84/3=28
Moving to Node #0,1
Current State: 45:[29, 3, 19], Operations: ['84-65=19']
Exploring Operation: 29-3=26, Resulting Numbers: [19, 26]
Generated Node #0,1,0: 45:[19, 26] Operation: 29-3=26
Exploring Operation: 29-19=10, Resulting Numbers: [3, 10]
Generated Node #0,1,1: 45:[3, 10] Operation: 29-19=10
Exploring Operation: 29+19=48, Resulting Numbers: [3, 48]
Generated Node #0,1,2: 45:[3, 48] Operation: 29+19=48
Moving to Node #0,0
Current State: 45:[65, 3, 55], Operations: ['84-29=55']
Exploring Operation: 65-55=10, Resulting Numbers: [3, 10]
Generated Node #0,0,0: 45:[3, 10] Operation: 65-55=10
Exploring Operation: 65-3=62, Resulting Numbers: [55, 62]
Generated Node #0,0,1: 45:[55, 62] Operation: 65-3=62
Exploring Operation: 55-3=52, Resulting Numbers: [65, 52]
Generated Node #0,0,2: 45:[65, 52] Operation: 55-3=52
Moving to Node #0,2
Current State: 45:[29, 65, 28], Operations: ['84/3=28']
Exploring Operation: 65-28=37, Resulting Numbers: [29, 37]
Generated Node #0,2,0: 45:[29, 37] Operation: 65-28=37
Exploring Operation: 29-28=1, Resulting Numbers: [65, 1]
Generated Node #0,2,1: 45:[65, 1] Operation: 29-28=1
Exploring Operation: 65-29=36, Resulting Numbers: [28, 36]
Generated Node #0,2,2: 45:[28, 36] Operation: 65-29=36
Moving to Node #0,1,1
Current State: 45:[3, 10], Operations: ['84-65=19', '29-19=10']
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,45 unequal: No Solution
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,45 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Moving to Node #0,0,0
Current State: 45:[3, 10], Operations: ['84-29=55', '65-55=10']
Exploring Operation: 3*10=30, Resulting Numbers: [30]
30,45 unequal: No Solution
Exploring Operation: 3+10=13, Resulting Numbers: [13]
13,45 unequal: No Solution
Exploring Operation: 10-3=7, Resulting Numbers: [7]
7,45 unequal: No Solution
Moving to Node #0,1,2
Current State: 45:[3, 48], Operations: ['84-65=19', '29+19=48']
Exploring Operation: 48/3=16, Resulting Numbers: [16]
16,45 unequal: No Solution
Exploring Operation: 48-3=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 0.981771 | bfs_3 | Current State: 45:[29, 84, 65, 3], Operations: []
Exploring Operation: 29+84=113, Resulting Numbers: [65, 3, 113]
Generated Node #2: [65, 3, 113] from Operation: 29+84=113
Current State: 45:[65, 3, 113], Operations: ['29+84=113']
Exploring Operation: 65+3=68, Resulting Numbers: [113, 68]
Generated Node #3: [113, 68] from Operation: 65+3=68
Current State: 45:[113, 68], Operations: ['29+84=113', '65+3=68']
Exploring Operation: 113-68=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| mult_heuristic |
[
11,
5,
34,
2
] | 60 | [
"11*2=22",
"34-22=12",
"5*12=60"
] | Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 34-5=29, Resulting Numbers: [11, 2, 29]
Generated Node #0,0: 60:[11, 2, 29] Operation: 34-5=29
Moving to Node #0,0
Current State: 60:[11, 2, 29], Operations: ['34-5=29']
Exploring Operation: 11+2=13, Resulting Numbers: [29, 13]
Generated Node #0,0,0: 60:[29, 13] Operation: 11+2=13
Moving to Node #0,0,0
Current State: 60:[29, 13], Operations: ['34-5=29', '11+2=13']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[29, 13], Operations: ['34-5=29', '11+2=13']
Exploring Operation: 29+13=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,0
Current State: 60:[11, 2, 29], Operations: ['34-5=29']
Exploring Operation: 11-2=9, Resulting Numbers: [29, 9]
Generated Node #0,0,1: 60:[29, 9] Operation: 11-2=9
Moving to Node #0,0,1
Current State: 60:[29, 9], Operations: ['34-5=29', '11-2=9']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,0,1
Current State: 60:[29, 9], Operations: ['34-5=29', '11-2=9']
Exploring Operation: 29+9=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,0
Current State: 60:[11, 2, 29], Operations: ['34-5=29']
Exploring Operation: 29-11=18, Resulting Numbers: [2, 18]
Generated Node #0,0,2: 60:[2, 18] Operation: 29-11=18
Moving to Node #0,0,2
Current State: 60:[2, 18], Operations: ['34-5=29', '29-11=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[2, 18], Operations: ['34-5=29', '29-11=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[2, 18], Operations: ['34-5=29', '29-11=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[2, 18], Operations: ['34-5=29', '29-11=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Moving to Node #0,0
Current State: 60:[11, 2, 29], Operations: ['34-5=29']
Exploring Operation: 2+29=31, Resulting Numbers: [11, 31]
Generated Node #0,0,3: 60:[11, 31] Operation: 2+29=31
Moving to Node #0,0,3
Current State: 60:[11, 31], Operations: ['34-5=29', '2+29=31']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,0,3
Current State: 60:[11, 31], Operations: ['34-5=29', '2+29=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,0
Current State: 60:[11, 2, 29], Operations: ['34-5=29']
Exploring Operation: 11*2=22, Resulting Numbers: [29, 22]
Generated Node #0,0,4: 60:[29, 22] Operation: 11*2=22
Moving to Node #0,0,4
Current State: 60:[29, 22], Operations: ['34-5=29', '11*2=22']
Exploring Operation: 29-22=7, Resulting Numbers: [7]
7,60 unequal: No Solution
Moving to Node #0,0,4
Current State: 60:[29, 22], Operations: ['34-5=29', '11*2=22']
Exploring Operation: 29+22=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Moving to Node #0,0
Current State: 60:[11, 2, 29], Operations: ['34-5=29']
Exploring Operation: 2*29=58, Resulting Numbers: [11, 58]
Generated Node #0,0,5: 60:[11, 58] Operation: 2*29=58
Moving to Node #0,0,5
Current State: 60:[11, 58], Operations: ['34-5=29', '2*29=58']
Exploring Operation: 11+58=69, Resulting Numbers: [69]
69,60 unequal: No Solution
Moving to Node #0,0,5
Current State: 60:[11, 58], Operations: ['34-5=29', '2*29=58']
Exploring Operation: 58-11=47, Resulting Numbers: [47]
47,60 unequal: No Solution
Moving to Node #0,0
Current State: 60:[11, 2, 29], Operations: ['34-5=29']
Exploring Operation: 29-2=27, Resulting Numbers: [11, 27]
Generated Node #0,0,6: 60:[11, 27] Operation: 29-2=27
Moving to Node #0,0,6
Current State: 60:[11, 27], Operations: ['34-5=29', '29-2=27']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,0,6
Current State: 60:[11, 27], Operations: ['34-5=29', '29-2=27']
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,0
Current State: 60:[11, 2, 29], Operations: ['34-5=29']
Exploring Operation: 11+29=40, Resulting Numbers: [2, 40]
Generated Node #0,0,7: 60:[2, 40] Operation: 11+29=40
Moving to Node #0,0,7
Current State: 60:[2, 40], Operations: ['34-5=29', '11+29=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,0,7
Current State: 60:[2, 40], Operations: ['34-5=29', '11+29=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,0,7
Current State: 60:[2, 40], Operations: ['34-5=29', '11+29=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,0,7
Current State: 60:[2, 40], Operations: ['34-5=29', '11+29=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 34-11=23, Resulting Numbers: [5, 2, 23]
Generated Node #0,1: 60:[5, 2, 23] Operation: 34-11=23
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 23-2=21, Resulting Numbers: [5, 21]
Generated Node #0,1,0: 60:[5, 21] Operation: 23-2=21
Moving to Node #0,1,0
Current State: 60:[5, 21], Operations: ['34-11=23', '23-2=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[5, 21], Operations: ['34-11=23', '23-2=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,1,0
Current State: 60:[5, 21], Operations: ['34-11=23', '23-2=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 5+23=28, Resulting Numbers: [2, 28]
Generated Node #0,1,1: 60:[2, 28] Operation: 5+23=28
Moving to Node #0,1,1
Current State: 60:[2, 28], Operations: ['34-11=23', '5+23=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[2, 28], Operations: ['34-11=23', '5+23=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[2, 28], Operations: ['34-11=23', '5+23=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[2, 28], Operations: ['34-11=23', '5+23=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 23-5=18, Resulting Numbers: [2, 18]
Generated Node #0,1,2: 60:[2, 18] Operation: 23-5=18
Moving to Node #0,1,2
Current State: 60:[2, 18], Operations: ['34-11=23', '23-5=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[2, 18], Operations: ['34-11=23', '23-5=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[2, 18], Operations: ['34-11=23', '23-5=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[2, 18], Operations: ['34-11=23', '23-5=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 5*2=10, Resulting Numbers: [23, 10]
Generated Node #0,1,3: 60:[23, 10] Operation: 5*2=10
Moving to Node #0,1,3
Current State: 60:[23, 10], Operations: ['34-11=23', '5*2=10']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Moving to Node #0,1,3
Current State: 60:[23, 10], Operations: ['34-11=23', '5*2=10']
Exploring Operation: 23+10=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 5-2=3, Resulting Numbers: [23, 3]
Generated Node #0,1,4: 60:[23, 3] Operation: 5-2=3
Moving to Node #0,1,4
Current State: 60:[23, 3], Operations: ['34-11=23', '5-2=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,1,4
Current State: 60:[23, 3], Operations: ['34-11=23', '5-2=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,1,4
Current State: 60:[23, 3], Operations: ['34-11=23', '5-2=3']
Exploring Operation: 23*3=69, Resulting Numbers: [69]
69,60 unequal: No Solution
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 5+2=7, Resulting Numbers: [23, 7]
Generated Node #0,1,5: 60:[23, 7] Operation: 5+2=7
Moving to Node #0,1,5
Current State: 60:[23, 7], Operations: ['34-11=23', '5+2=7']
Exploring Operation: 23+7=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,1,5
Current State: 60:[23, 7], Operations: ['34-11=23', '5+2=7']
Exploring Operation: 23-7=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 2+23=25, Resulting Numbers: [5, 25]
Generated Node #0,1,6: 60:[5, 25] Operation: 2+23=25
Moving to Node #0,1,6
Current State: 60:[5, 25], Operations: ['34-11=23', '2+23=25']
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,1,6
Current State: 60:[5, 25], Operations: ['34-11=23', '2+23=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,1,6
Current State: 60:[5, 25], Operations: ['34-11=23', '2+23=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 2*23=46, Resulting Numbers: [5, 46]
Generated Node #0,1,7: 60:[5, 46] Operation: 2*23=46
Moving to Node #0,1,7
Current State: 60:[5, 46], Operations: ['34-11=23', '2*23=46']
Exploring Operation: 5+46=51, Resulting Numbers: [51]
51,60 unequal: No Solution
Moving to Node #0,1,7
Current State: 60:[5, 46], Operations: ['34-11=23', '2*23=46']
Exploring Operation: 46-5=41, Resulting Numbers: [41]
41,60 unequal: No Solution
Moving to Node #0,1
Current State: 60:[5, 2, 23], Operations: ['34-11=23']
Exploring Operation: 5*23=115, Resulting Numbers: [2, 115]
Generated Node #0,1,8: 60:[2, 115] Operation: 5*23=115
Moving to Node #0,1,8
Current State: 60:[2, 115], Operations: ['34-11=23', '5*23=115']
Exploring Operation: 115-2=113, Resulting Numbers: [113]
113,60 unequal: No Solution
Moving to Node #0,1,8
Current State: 60:[2, 115], Operations: ['34-11=23', '5*23=115']
Exploring Operation: 2+115=117, Resulting Numbers: [117]
117,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 34-2=32, Resulting Numbers: [11, 5, 32]
Generated Node #0,2: 60:[11, 5, 32] Operation: 34-2=32
Moving to Node #0,2
Current State: 60:[11, 5, 32], Operations: ['34-2=32']
Exploring Operation: 32-11=21, Resulting Numbers: [5, 21]
Generated Node #0,2,0: 60:[5, 21] Operation: 32-11=21
Moving to Node #0,2,0
Current State: 60:[5, 21], Operations: ['34-2=32', '32-11=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[5, 21], Operations: ['34-2=32', '32-11=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[5, 21], Operations: ['34-2=32', '32-11=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Moving to Node #0,2
Current State: 60:[11, 5, 32], Operations: ['34-2=32']
Exploring Operation: 11-5=6, Resulting Numbers: [32, 6]
Generated Node #0,2,1: 60:[32, 6] Operation: 11-5=6
Moving to Node #0,2,1
Current State: 60:[32, 6], Operations: ['34-2=32', '11-5=6']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[32, 6], Operations: ['34-2=32', '11-5=6']
Exploring Operation: 32+6=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,2
Current State: 60:[11, 5, 32], Operations: ['34-2=32']
Exploring Operation: 11+5=16, Resulting Numbers: [32, 16]
Generated Node #0,2,2: 60:[32, 16] Operation: 11+5=16
Moving to Node #0,2,2
Current State: 60:[32, 16], Operations: ['34-2=32', '11+5=16']
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[32, 16], Operations: ['34-2=32', '11+5=16']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[32, 16], Operations: ['34-2=32', '11+5=16']
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,2
Current State: 60:[11, 5, 32], Operations: ['34-2=32']
Exploring Operation: 32-5=27, Resulting Numbers: [11, 27]
Generated Node #0,2,3: 60:[11, 27] Operation: 32-5=27
Moving to Node #0,2,3
Current State: 60:[11, 27], Operations: ['34-2=32', '32-5=27']
Exploring Operation: 27-11=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,2,3
Current State: 60:[11, 27], Operations: ['34-2=32', '32-5=27']
Exploring Operation: 11+27=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,2
Current State: 60:[11, 5, 32], Operations: ['34-2=32']
Exploring Operation: 11*5=55, Resulting Numbers: [32, 55]
Generated Node #0,2,4: 60:[32, 55] Operation: 11*5=55
Moving to Node #0,2,4
Current State: 60:[32, 55], Operations: ['34-2=32', '11*5=55']
Exploring Operation: 55-32=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Moving to Node #0,2,4
Current State: 60:[32, 55], Operations: ['34-2=32', '11*5=55']
Exploring Operation: 32+55=87, Resulting Numbers: [87]
87,60 unequal: No Solution
Moving to Node #0,2
Current State: 60:[11, 5, 32], Operations: ['34-2=32']
Exploring Operation: 5+32=37, Resulting Numbers: [11, 37]
Generated Node #0,2,5: 60:[11, 37] Operation: 5+32=37
Moving to Node #0,2,5
Current State: 60:[11, 37], Operations: ['34-2=32', '5+32=37']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,2,5
Current State: 60:[11, 37], Operations: ['34-2=32', '5+32=37']
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,2
Current State: 60:[11, 5, 32], Operations: ['34-2=32']
Exploring Operation: 11+32=43, Resulting Numbers: [5, 43]
Generated Node #0,2,6: 60:[5, 43] Operation: 11+32=43
Moving to Node #0,2,6
Current State: 60:[5, 43], Operations: ['34-2=32', '11+32=43']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,2,6
Current State: 60:[5, 43], Operations: ['34-2=32', '11+32=43']
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 34/2=17, Resulting Numbers: [11, 5, 17]
Generated Node #0,3: 60:[11, 5, 17] Operation: 34/2=17
Moving to Node #0,3
Current State: 60:[11, 5, 17], Operations: ['34/2=17']
Exploring Operation: 17-11=6, Resulting Numbers: [5, 6]
Generated Node #0,3,0: 60:[5, 6] Operation: 17-11=6
Moving to Node #0,3,0
Current State: 60:[5, 6], Operations: ['34/2=17', '17-11=6']
Exploring Operation: 5*6=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[5, 6], Operations: ['34/2=17', '17-11=6']
Exploring Operation: 5+6=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,3,0
Current State: 60:[5, 6], Operations: ['34/2=17', '17-11=6']
Exploring Operation: 6-5=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Moving to Node #0,3
Current State: 60:[11, 5, 17], Operations: ['34/2=17']
Exploring Operation: 17-5=12, Resulting Numbers: [11, 12]
Generated Node #0,3,1: 60:[11, 12] Operation: 17-5=12
Moving to Node #0,3,1
Current State: 60:[11, 12], Operations: ['34/2=17', '17-5=12']
Exploring Operation: 12-11=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Moving to Node #0,3,1
Current State: 60:[11, 12], Operations: ['34/2=17', '17-5=12']
Exploring Operation: 11+12=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Moving to Node #0,3
Current State: 60:[11, 5, 17], Operations: ['34/2=17']
Exploring Operation: 11-5=6, Resulting Numbers: [17, 6]
Generated Node #0,3,2: 60:[17, 6] Operation: 11-5=6
Moving to Node #0,3,2
Current State: 60:[17, 6], Operations: ['34/2=17', '11-5=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,3,2
Current State: 60:[17, 6], Operations: ['34/2=17', '11-5=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Moving to Node #0,3,2
Current State: 60:[17, 6], Operations: ['34/2=17', '11-5=6']
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Moving to Node #0,3
Current State: 60:[11, 5, 17], Operations: ['34/2=17']
Exploring Operation: 11+17=28, Resulting Numbers: [5, 28]
Generated Node #0,3,3: 60:[5, 28] Operation: 11+17=28
Moving to Node #0,3,3
Current State: 60:[5, 28], Operations: ['34/2=17', '11+17=28']
Exploring Operation: 5+28=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,3,3
Current State: 60:[5, 28], Operations: ['34/2=17', '11+17=28']
Exploring Operation: 28-5=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Moving to Node #0,3
Current State: 60:[11, 5, 17], Operations: ['34/2=17']
Exploring Operation: 11+5=16, Resulting Numbers: [17, 16]
Generated Node #0,3,4: 60:[17, 16] Operation: 11+5=16
Moving to Node #0,3,4
Current State: 60:[17, 16], Operations: ['34/2=17', '11+5=16']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Moving to Node #0,3,4
Current State: 60:[17, 16], Operations: ['34/2=17', '11+5=16']
Exploring Operation: 17+16=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,3
Current State: 60:[11, 5, 17], Operations: ['34/2=17']
Exploring Operation: 5+17=22, Resulting Numbers: [11, 22]
Generated Node #0,3,5: 60:[11, 22] Operation: 5+17=22
Moving to Node #0,3,5
Current State: 60:[11, 22], Operations: ['34/2=17', '5+17=22']
Exploring Operation: 22/11=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Moving to Node #0,3,5
Current State: 60:[11, 22], Operations: ['34/2=17', '5+17=22']
Exploring Operation: 22-11=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,3,5
Current State: 60:[11, 22], Operations: ['34/2=17', '5+17=22']
Exploring Operation: 11+22=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,3
Current State: 60:[11, 5, 17], Operations: ['34/2=17']
Exploring Operation: 11*5=55, Resulting Numbers: [17, 55]
Generated Node #0,3,6: 60:[17, 55] Operation: 11*5=55
Moving to Node #0,3,6
Current State: 60:[17, 55], Operations: ['34/2=17', '11*5=55']
Exploring Operation: 55-17=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,3,6
Current State: 60:[17, 55], Operations: ['34/2=17', '11*5=55']
Exploring Operation: 17+55=72, Resulting Numbers: [72]
72,60 unequal: No Solution
Moving to Node #0,3
Current State: 60:[11, 5, 17], Operations: ['34/2=17']
Exploring Operation: 5*17=85, Resulting Numbers: [11, 85]
Generated Node #0,3,7: 60:[11, 85] Operation: 5*17=85
Moving to Node #0,3,7
Current State: 60:[11, 85], Operations: ['34/2=17', '5*17=85']
Exploring Operation: 85-11=74, Resulting Numbers: [74]
74,60 unequal: No Solution
Moving to Node #0,3,7
Current State: 60:[11, 85], Operations: ['34/2=17', '5*17=85']
Exploring Operation: 11+85=96, Resulting Numbers: [96]
96,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 11-5=6, Resulting Numbers: [34, 2, 6]
Generated Node #0,4: 60:[34, 2, 6] Operation: 11-5=6
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 34-2=32, Resulting Numbers: [6, 32]
Generated Node #0,4,0: 60:[6, 32] Operation: 34-2=32
Moving to Node #0,4,0
Current State: 60:[6, 32], Operations: ['11-5=6', '34-2=32']
Exploring Operation: 32-6=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,4,0
Current State: 60:[6, 32], Operations: ['11-5=6', '34-2=32']
Exploring Operation: 6+32=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 34/2=17, Resulting Numbers: [6, 17]
Generated Node #0,4,1: 60:[6, 17] Operation: 34/2=17
Moving to Node #0,4,1
Current State: 60:[6, 17], Operations: ['11-5=6', '34/2=17']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,4,1
Current State: 60:[6, 17], Operations: ['11-5=6', '34/2=17']
Exploring Operation: 6+17=23, Resulting Numbers: [23]
23,60 unequal: No Solution
Moving to Node #0,4,1
Current State: 60:[6, 17], Operations: ['11-5=6', '34/2=17']
Exploring Operation: 6*17=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 34-6=28, Resulting Numbers: [2, 28]
Generated Node #0,4,2: 60:[2, 28] Operation: 34-6=28
Moving to Node #0,4,2
Current State: 60:[2, 28], Operations: ['11-5=6', '34-6=28']
Exploring Operation: 2+28=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,4,2
Current State: 60:[2, 28], Operations: ['11-5=6', '34-6=28']
Exploring Operation: 28/2=14, Resulting Numbers: [14]
14,60 unequal: No Solution
Moving to Node #0,4,2
Current State: 60:[2, 28], Operations: ['11-5=6', '34-6=28']
Exploring Operation: 2*28=56, Resulting Numbers: [56]
56,60 unequal: No Solution
Moving to Node #0,4,2
Current State: 60:[2, 28], Operations: ['11-5=6', '34-6=28']
Exploring Operation: 28-2=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 2*6=12, Resulting Numbers: [34, 12]
Generated Node #0,4,3: 60:[34, 12] Operation: 2*6=12
Moving to Node #0,4,3
Current State: 60:[34, 12], Operations: ['11-5=6', '2*6=12']
Exploring Operation: 34-12=22, Resulting Numbers: [22]
22,60 unequal: No Solution
Moving to Node #0,4,3
Current State: 60:[34, 12], Operations: ['11-5=6', '2*6=12']
Exploring Operation: 34+12=46, Resulting Numbers: [46]
46,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 6-2=4, Resulting Numbers: [34, 4]
Generated Node #0,4,4: 60:[34, 4] Operation: 6-2=4
Moving to Node #0,4,4
Current State: 60:[34, 4], Operations: ['11-5=6', '6-2=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,4,4
Current State: 60:[34, 4], Operations: ['11-5=6', '6-2=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 6/2=3, Resulting Numbers: [34, 3]
Generated Node #0,4,5: 60:[34, 3] Operation: 6/2=3
Moving to Node #0,4,5
Current State: 60:[34, 3], Operations: ['11-5=6', '6/2=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Moving to Node #0,4,5
Current State: 60:[34, 3], Operations: ['11-5=6', '6/2=3']
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,60 unequal: No Solution
Moving to Node #0,4,5
Current State: 60:[34, 3], Operations: ['11-5=6', '6/2=3']
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 34+2=36, Resulting Numbers: [6, 36]
Generated Node #0,4,6: 60:[6, 36] Operation: 34+2=36
Moving to Node #0,4,6
Current State: 60:[6, 36], Operations: ['11-5=6', '34+2=36']
Exploring Operation: 36-6=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,4,6
Current State: 60:[6, 36], Operations: ['11-5=6', '34+2=36']
Exploring Operation: 36/6=6, Resulting Numbers: [6]
6,60 unequal: No Solution
Moving to Node #0,4,6
Current State: 60:[6, 36], Operations: ['11-5=6', '34+2=36']
Exploring Operation: 6+36=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 2+6=8, Resulting Numbers: [34, 8]
Generated Node #0,4,7: 60:[34, 8] Operation: 2+6=8
Moving to Node #0,4,7
Current State: 60:[34, 8], Operations: ['11-5=6', '2+6=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,4,7
Current State: 60:[34, 8], Operations: ['11-5=6', '2+6=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 34*2=68, Resulting Numbers: [6, 68]
Generated Node #0,4,8: 60:[6, 68] Operation: 34*2=68
Moving to Node #0,4,8
Current State: 60:[6, 68], Operations: ['11-5=6', '34*2=68']
Exploring Operation: 68-6=62, Resulting Numbers: [62]
62,60 unequal: No Solution
Moving to Node #0,4,8
Current State: 60:[6, 68], Operations: ['11-5=6', '34*2=68']
Exploring Operation: 6+68=74, Resulting Numbers: [74]
74,60 unequal: No Solution
Moving to Node #0,4
Current State: 60:[34, 2, 6], Operations: ['11-5=6']
Exploring Operation: 34+6=40, Resulting Numbers: [2, 40]
Generated Node #0,4,9: 60:[2, 40] Operation: 34+6=40
Moving to Node #0,4,9
Current State: 60:[2, 40], Operations: ['11-5=6', '34+6=40']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,4,9
Current State: 60:[2, 40], Operations: ['11-5=6', '34+6=40']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,4,9
Current State: 60:[2, 40], Operations: ['11-5=6', '34+6=40']
Exploring Operation: 2+40=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,4,9
Current State: 60:[2, 40], Operations: ['11-5=6', '34+6=40']
Exploring Operation: 2*40=80, Resulting Numbers: [80]
80,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 11+5=16, Resulting Numbers: [34, 2, 16]
Generated Node #0,5: 60:[34, 2, 16] Operation: 11+5=16
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 34-16=18, Resulting Numbers: [2, 18]
Generated Node #0,5,0: 60:[2, 18] Operation: 34-16=18
Moving to Node #0,5,0
Current State: 60:[2, 18], Operations: ['11+5=16', '34-16=18']
Exploring Operation: 2+18=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,5,0
Current State: 60:[2, 18], Operations: ['11+5=16', '34-16=18']
Exploring Operation: 18-2=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,5,0
Current State: 60:[2, 18], Operations: ['11+5=16', '34-16=18']
Exploring Operation: 18/2=9, Resulting Numbers: [9]
9,60 unequal: No Solution
Moving to Node #0,5,0
Current State: 60:[2, 18], Operations: ['11+5=16', '34-16=18']
Exploring Operation: 2*18=36, Resulting Numbers: [36]
36,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 34-2=32, Resulting Numbers: [16, 32]
Generated Node #0,5,1: 60:[16, 32] Operation: 34-2=32
Moving to Node #0,5,1
Current State: 60:[16, 32], Operations: ['11+5=16', '34-2=32']
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Moving to Node #0,5,1
Current State: 60:[16, 32], Operations: ['11+5=16', '34-2=32']
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,5,1
Current State: 60:[16, 32], Operations: ['11+5=16', '34-2=32']
Exploring Operation: 16+32=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 34/2=17, Resulting Numbers: [16, 17]
Generated Node #0,5,2: 60:[16, 17] Operation: 34/2=17
Moving to Node #0,5,2
Current State: 60:[16, 17], Operations: ['11+5=16', '34/2=17']
Exploring Operation: 17-16=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Moving to Node #0,5,2
Current State: 60:[16, 17], Operations: ['11+5=16', '34/2=17']
Exploring Operation: 16+17=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 16-2=14, Resulting Numbers: [34, 14]
Generated Node #0,5,3: 60:[34, 14] Operation: 16-2=14
Moving to Node #0,5,3
Current State: 60:[34, 14], Operations: ['11+5=16', '16-2=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,5,3
Current State: 60:[34, 14], Operations: ['11+5=16', '16-2=14']
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 2+16=18, Resulting Numbers: [34, 18]
Generated Node #0,5,4: 60:[34, 18] Operation: 2+16=18
Moving to Node #0,5,4
Current State: 60:[34, 18], Operations: ['11+5=16', '2+16=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,5,4
Current State: 60:[34, 18], Operations: ['11+5=16', '2+16=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 2*16=32, Resulting Numbers: [34, 32]
Generated Node #0,5,5: 60:[34, 32] Operation: 2*16=32
Moving to Node #0,5,5
Current State: 60:[34, 32], Operations: ['11+5=16', '2*16=32']
Exploring Operation: 34-32=2, Resulting Numbers: [2]
2,60 unequal: No Solution
Moving to Node #0,5,5
Current State: 60:[34, 32], Operations: ['11+5=16', '2*16=32']
Exploring Operation: 34+32=66, Resulting Numbers: [66]
66,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 16/2=8, Resulting Numbers: [34, 8]
Generated Node #0,5,6: 60:[34, 8] Operation: 16/2=8
Moving to Node #0,5,6
Current State: 60:[34, 8], Operations: ['11+5=16', '16/2=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,5,6
Current State: 60:[34, 8], Operations: ['11+5=16', '16/2=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 34+2=36, Resulting Numbers: [16, 36]
Generated Node #0,5,7: 60:[16, 36] Operation: 34+2=36
Moving to Node #0,5,7
Current State: 60:[16, 36], Operations: ['11+5=16', '34+2=36']
Exploring Operation: 36-16=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,5,7
Current State: 60:[16, 36], Operations: ['11+5=16', '34+2=36']
Exploring Operation: 16+36=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 34*2=68, Resulting Numbers: [16, 68]
Generated Node #0,5,8: 60:[16, 68] Operation: 34*2=68
Moving to Node #0,5,8
Current State: 60:[16, 68], Operations: ['11+5=16', '34*2=68']
Exploring Operation: 68-16=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Moving to Node #0,5,8
Current State: 60:[16, 68], Operations: ['11+5=16', '34*2=68']
Exploring Operation: 16+68=84, Resulting Numbers: [84]
84,60 unequal: No Solution
Moving to Node #0,5
Current State: 60:[34, 2, 16], Operations: ['11+5=16']
Exploring Operation: 34+16=50, Resulting Numbers: [2, 50]
Generated Node #0,5,9: 60:[2, 50] Operation: 34+16=50
Moving to Node #0,5,9
Current State: 60:[2, 50], Operations: ['11+5=16', '34+16=50']
Exploring Operation: 50/2=25, Resulting Numbers: [25]
25,60 unequal: No Solution
Moving to Node #0,5,9
Current State: 60:[2, 50], Operations: ['11+5=16', '34+16=50']
Exploring Operation: 2+50=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Moving to Node #0,5,9
Current State: 60:[2, 50], Operations: ['11+5=16', '34+16=50']
Exploring Operation: 50-2=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,5,9
Current State: 60:[2, 50], Operations: ['11+5=16', '34+16=50']
Exploring Operation: 2*50=100, Resulting Numbers: [100]
100,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 11+2=13, Resulting Numbers: [5, 34, 13]
Generated Node #0,6: 60:[5, 34, 13] Operation: 11+2=13
Moving to Node #0,6
Current State: 60:[5, 34, 13], Operations: ['11+2=13']
Exploring Operation: 34-13=21, Resulting Numbers: [5, 21]
Generated Node #0,6,0: 60:[5, 21] Operation: 34-13=21
Moving to Node #0,6,0
Current State: 60:[5, 21], Operations: ['11+2=13', '34-13=21']
Exploring Operation: 21-5=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,6,0
Current State: 60:[5, 21], Operations: ['11+2=13', '34-13=21']
Exploring Operation: 5+21=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,6,0
Current State: 60:[5, 21], Operations: ['11+2=13', '34-13=21']
Exploring Operation: 5*21=105, Resulting Numbers: [105]
105,60 unequal: No Solution
Moving to Node #0,6
Current State: 60:[5, 34, 13], Operations: ['11+2=13']
Exploring Operation: 34-5=29, Resulting Numbers: [13, 29]
Generated Node #0,6,1: 60:[13, 29] Operation: 34-5=29
Moving to Node #0,6,1
Current State: 60:[13, 29], Operations: ['11+2=13', '34-5=29']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,6,1
Current State: 60:[13, 29], Operations: ['11+2=13', '34-5=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,6
Current State: 60:[5, 34, 13], Operations: ['11+2=13']
Exploring Operation: 5+13=18, Resulting Numbers: [34, 18]
Generated Node #0,6,2: 60:[34, 18] Operation: 5+13=18
Moving to Node #0,6,2
Current State: 60:[34, 18], Operations: ['11+2=13', '5+13=18']
Exploring Operation: 34-18=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,6,2
Current State: 60:[34, 18], Operations: ['11+2=13', '5+13=18']
Exploring Operation: 34+18=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Moving to Node #0,6
Current State: 60:[5, 34, 13], Operations: ['11+2=13']
Exploring Operation: 13-5=8, Resulting Numbers: [34, 8]
Generated Node #0,6,3: 60:[34, 8] Operation: 13-5=8
Moving to Node #0,6,3
Current State: 60:[34, 8], Operations: ['11+2=13', '13-5=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,6,3
Current State: 60:[34, 8], Operations: ['11+2=13', '13-5=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,6
Current State: 60:[5, 34, 13], Operations: ['11+2=13']
Exploring Operation: 5*13=65, Resulting Numbers: [34, 65]
Generated Node #0,6,4: 60:[34, 65] Operation: 5*13=65
Moving to Node #0,6,4
Current State: 60:[34, 65], Operations: ['11+2=13', '5*13=65']
Exploring Operation: 65-34=31, Resulting Numbers: [31]
31,60 unequal: No Solution
Moving to Node #0,6,4
Current State: 60:[34, 65], Operations: ['11+2=13', '5*13=65']
Exploring Operation: 34+65=99, Resulting Numbers: [99]
99,60 unequal: No Solution
Moving to Node #0,6
Current State: 60:[5, 34, 13], Operations: ['11+2=13']
Exploring Operation: 5+34=39, Resulting Numbers: [13, 39]
Generated Node #0,6,5: 60:[13, 39] Operation: 5+34=39
Moving to Node #0,6,5
Current State: 60:[13, 39], Operations: ['11+2=13', '5+34=39']
Exploring Operation: 39/13=3, Resulting Numbers: [3]
3,60 unequal: No Solution
Moving to Node #0,6,5
Current State: 60:[13, 39], Operations: ['11+2=13', '5+34=39']
Exploring Operation: 39-13=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,6,5
Current State: 60:[13, 39], Operations: ['11+2=13', '5+34=39']
Exploring Operation: 13+39=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Moving to Node #0,6
Current State: 60:[5, 34, 13], Operations: ['11+2=13']
Exploring Operation: 34+13=47, Resulting Numbers: [5, 47]
Generated Node #0,6,6: 60:[5, 47] Operation: 34+13=47
Moving to Node #0,6,6
Current State: 60:[5, 47], Operations: ['11+2=13', '34+13=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,60 unequal: No Solution
Moving to Node #0,6,6
Current State: 60:[5, 47], Operations: ['11+2=13', '34+13=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 11-2=9, Resulting Numbers: [5, 34, 9]
Generated Node #0,7: 60:[5, 34, 9] Operation: 11-2=9
Moving to Node #0,7
Current State: 60:[5, 34, 9], Operations: ['11-2=9']
Exploring Operation: 34-5=29, Resulting Numbers: [9, 29]
Generated Node #0,7,0: 60:[9, 29] Operation: 34-5=29
Moving to Node #0,7,0
Current State: 60:[9, 29], Operations: ['11-2=9', '34-5=29']
Exploring Operation: 29-9=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,7,0
Current State: 60:[9, 29], Operations: ['11-2=9', '34-5=29']
Exploring Operation: 9+29=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,7
Current State: 60:[5, 34, 9], Operations: ['11-2=9']
Exploring Operation: 9-5=4, Resulting Numbers: [34, 4]
Generated Node #0,7,1: 60:[34, 4] Operation: 9-5=4
Moving to Node #0,7,1
Current State: 60:[34, 4], Operations: ['11-2=9', '9-5=4']
Exploring Operation: 34-4=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,7,1
Current State: 60:[34, 4], Operations: ['11-2=9', '9-5=4']
Exploring Operation: 34+4=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,7
Current State: 60:[5, 34, 9], Operations: ['11-2=9']
Exploring Operation: 5+9=14, Resulting Numbers: [34, 14]
Generated Node #0,7,2: 60:[34, 14] Operation: 5+9=14
Moving to Node #0,7,2
Current State: 60:[34, 14], Operations: ['11-2=9', '5+9=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,7,2
Current State: 60:[34, 14], Operations: ['11-2=9', '5+9=14']
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,7
Current State: 60:[5, 34, 9], Operations: ['11-2=9']
Exploring Operation: 34-9=25, Resulting Numbers: [5, 25]
Generated Node #0,7,3: 60:[5, 25] Operation: 34-9=25
Moving to Node #0,7,3
Current State: 60:[5, 25], Operations: ['11-2=9', '34-9=25']
Exploring Operation: 5+25=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,7,3
Current State: 60:[5, 25], Operations: ['11-2=9', '34-9=25']
Exploring Operation: 25-5=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,7,3
Current State: 60:[5, 25], Operations: ['11-2=9', '34-9=25']
Exploring Operation: 25/5=5, Resulting Numbers: [5]
5,60 unequal: No Solution
Moving to Node #0,7
Current State: 60:[5, 34, 9], Operations: ['11-2=9']
Exploring Operation: 5+34=39, Resulting Numbers: [9, 39]
Generated Node #0,7,4: 60:[9, 39] Operation: 5+34=39
Moving to Node #0,7,4
Current State: 60:[9, 39], Operations: ['11-2=9', '5+34=39']
Exploring Operation: 39-9=30, Resulting Numbers: [30]
30,60 unequal: No Solution
Moving to Node #0,7,4
Current State: 60:[9, 39], Operations: ['11-2=9', '5+34=39']
Exploring Operation: 9+39=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,7
Current State: 60:[5, 34, 9], Operations: ['11-2=9']
Exploring Operation: 34+9=43, Resulting Numbers: [5, 43]
Generated Node #0,7,5: 60:[5, 43] Operation: 34+9=43
Moving to Node #0,7,5
Current State: 60:[5, 43], Operations: ['11-2=9', '34+9=43']
Exploring Operation: 43-5=38, Resulting Numbers: [38]
38,60 unequal: No Solution
Moving to Node #0,7,5
Current State: 60:[5, 43], Operations: ['11-2=9', '34+9=43']
Exploring Operation: 5+43=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,7
Current State: 60:[5, 34, 9], Operations: ['11-2=9']
Exploring Operation: 5*9=45, Resulting Numbers: [34, 45]
Generated Node #0,7,6: 60:[34, 45] Operation: 5*9=45
Moving to Node #0,7,6
Current State: 60:[34, 45], Operations: ['11-2=9', '5*9=45']
Exploring Operation: 45-34=11, Resulting Numbers: [11]
11,60 unequal: No Solution
Moving to Node #0,7,6
Current State: 60:[34, 45], Operations: ['11-2=9', '5*9=45']
Exploring Operation: 34+45=79, Resulting Numbers: [79]
79,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 5*2=10, Resulting Numbers: [11, 34, 10]
Generated Node #0,8: 60:[11, 34, 10] Operation: 5*2=10
Moving to Node #0,8
Current State: 60:[11, 34, 10], Operations: ['5*2=10']
Exploring Operation: 34-11=23, Resulting Numbers: [10, 23]
Generated Node #0,8,0: 60:[10, 23] Operation: 34-11=23
Moving to Node #0,8,0
Current State: 60:[10, 23], Operations: ['5*2=10', '34-11=23']
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Moving to Node #0,8,0
Current State: 60:[10, 23], Operations: ['5*2=10', '34-11=23']
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,8
Current State: 60:[11, 34, 10], Operations: ['5*2=10']
Exploring Operation: 11+10=21, Resulting Numbers: [34, 21]
Generated Node #0,8,1: 60:[34, 21] Operation: 11+10=21
Moving to Node #0,8,1
Current State: 60:[34, 21], Operations: ['5*2=10', '11+10=21']
Exploring Operation: 34-21=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Moving to Node #0,8,1
Current State: 60:[34, 21], Operations: ['5*2=10', '11+10=21']
Exploring Operation: 34+21=55, Resulting Numbers: [55]
55,60 unequal: No Solution
Moving to Node #0,8
Current State: 60:[11, 34, 10], Operations: ['5*2=10']
Exploring Operation: 11-10=1, Resulting Numbers: [34, 1]
Generated Node #0,8,2: 60:[34, 1] Operation: 11-10=1
Moving to Node #0,8,2
Current State: 60:[34, 1], Operations: ['5*2=10', '11-10=1']
Exploring Operation: 34-1=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,8,2
Current State: 60:[34, 1], Operations: ['5*2=10', '11-10=1']
Exploring Operation: 34*1=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Moving to Node #0,8,2
Current State: 60:[34, 1], Operations: ['5*2=10', '11-10=1']
Exploring Operation: 34/1=34, Resulting Numbers: [34]
34,60 unequal: No Solution
Moving to Node #0,8,2
Current State: 60:[34, 1], Operations: ['5*2=10', '11-10=1']
Exploring Operation: 34+1=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Moving to Node #0,8
Current State: 60:[11, 34, 10], Operations: ['5*2=10']
Exploring Operation: 34-10=24, Resulting Numbers: [11, 24]
Generated Node #0,8,3: 60:[11, 24] Operation: 34-10=24
Moving to Node #0,8,3
Current State: 60:[11, 24], Operations: ['5*2=10', '34-10=24']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,60 unequal: No Solution
Moving to Node #0,8,3
Current State: 60:[11, 24], Operations: ['5*2=10', '34-10=24']
Exploring Operation: 11+24=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Moving to Node #0,8
Current State: 60:[11, 34, 10], Operations: ['5*2=10']
Exploring Operation: 11+34=45, Resulting Numbers: [10, 45]
Generated Node #0,8,4: 60:[10, 45] Operation: 11+34=45
Moving to Node #0,8,4
Current State: 60:[10, 45], Operations: ['5*2=10', '11+34=45']
Exploring Operation: 10+45=55, Resulting Numbers: [55]
55,60 unequal: No Solution
Moving to Node #0,8,4
Current State: 60:[10, 45], Operations: ['5*2=10', '11+34=45']
Exploring Operation: 45-10=35, Resulting Numbers: [35]
35,60 unequal: No Solution
Moving to Node #0,8
Current State: 60:[11, 34, 10], Operations: ['5*2=10']
Exploring Operation: 34+10=44, Resulting Numbers: [11, 44]
Generated Node #0,8,5: 60:[11, 44] Operation: 34+10=44
Moving to Node #0,8,5
Current State: 60:[11, 44], Operations: ['5*2=10', '34+10=44']
Exploring Operation: 44/11=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Moving to Node #0,8,5
Current State: 60:[11, 44], Operations: ['5*2=10', '34+10=44']
Exploring Operation: 44-11=33, Resulting Numbers: [33]
33,60 unequal: No Solution
Moving to Node #0,8,5
Current State: 60:[11, 44], Operations: ['5*2=10', '34+10=44']
Exploring Operation: 11+44=55, Resulting Numbers: [55]
55,60 unequal: No Solution
Moving to Node #0,8
Current State: 60:[11, 34, 10], Operations: ['5*2=10']
Exploring Operation: 11*10=110, Resulting Numbers: [34, 110]
Generated Node #0,8,6: 60:[34, 110] Operation: 11*10=110
Moving to Node #0,8,6
Current State: 60:[34, 110], Operations: ['5*2=10', '11*10=110']
Exploring Operation: 110-34=76, Resulting Numbers: [76]
76,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 5-2=3, Resulting Numbers: [11, 34, 3]
Generated Node #0,9: 60:[11, 34, 3] Operation: 5-2=3
Moving to Node #0,9
Current State: 60:[11, 34, 3], Operations: ['5-2=3']
Exploring Operation: 34-3=31, Resulting Numbers: [11, 31]
Generated Node #0,9,0: 60:[11, 31] Operation: 34-3=31
Moving to Node #0,9,0
Current State: 60:[11, 31], Operations: ['5-2=3', '34-3=31']
Exploring Operation: 31-11=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,9,0
Current State: 60:[11, 31], Operations: ['5-2=3', '34-3=31']
Exploring Operation: 11+31=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,9
Current State: 60:[11, 34, 3], Operations: ['5-2=3']
Exploring Operation: 34-11=23, Resulting Numbers: [3, 23]
Generated Node #0,9,1: 60:[3, 23] Operation: 34-11=23
Moving to Node #0,9,1
Current State: 60:[3, 23], Operations: ['5-2=3', '34-11=23']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,9,1
Current State: 60:[3, 23], Operations: ['5-2=3', '34-11=23']
Exploring Operation: 3+23=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,9,1
Current State: 60:[3, 23], Operations: ['5-2=3', '34-11=23']
Exploring Operation: 3*23=69, Resulting Numbers: [69]
69,60 unequal: No Solution
Moving to Node #0,9
Current State: 60:[11, 34, 3], Operations: ['5-2=3']
Exploring Operation: 11+3=14, Resulting Numbers: [34, 14]
Generated Node #0,9,2: 60:[34, 14] Operation: 11+3=14
Moving to Node #0,9,2
Current State: 60:[34, 14], Operations: ['5-2=3', '11+3=14']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,60 unequal: No Solution
Moving to Node #0,9,2
Current State: 60:[34, 14], Operations: ['5-2=3', '11+3=14']
Exploring Operation: 34+14=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,9
Current State: 60:[11, 34, 3], Operations: ['5-2=3']
Exploring Operation: 11-3=8, Resulting Numbers: [34, 8]
Generated Node #0,9,3: 60:[34, 8] Operation: 11-3=8
Moving to Node #0,9,3
Current State: 60:[34, 8], Operations: ['5-2=3', '11-3=8']
Exploring Operation: 34-8=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,9,3
Current State: 60:[34, 8], Operations: ['5-2=3', '11-3=8']
Exploring Operation: 34+8=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,9
Current State: 60:[11, 34, 3], Operations: ['5-2=3']
Exploring Operation: 11*3=33, Resulting Numbers: [34, 33]
Generated Node #0,9,4: 60:[34, 33] Operation: 11*3=33
Moving to Node #0,9,4
Current State: 60:[34, 33], Operations: ['5-2=3', '11*3=33']
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,60 unequal: No Solution
Moving to Node #0,9,4
Current State: 60:[34, 33], Operations: ['5-2=3', '11*3=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,60 unequal: No Solution
Moving to Node #0,9
Current State: 60:[11, 34, 3], Operations: ['5-2=3']
Exploring Operation: 34+3=37, Resulting Numbers: [11, 37]
Generated Node #0,9,5: 60:[11, 37] Operation: 34+3=37
Moving to Node #0,9,5
Current State: 60:[11, 37], Operations: ['5-2=3', '34+3=37']
Exploring Operation: 37-11=26, Resulting Numbers: [26]
26,60 unequal: No Solution
Moving to Node #0,9,5
Current State: 60:[11, 37], Operations: ['5-2=3', '34+3=37']
Exploring Operation: 11+37=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,9
Current State: 60:[11, 34, 3], Operations: ['5-2=3']
Exploring Operation: 11+34=45, Resulting Numbers: [3, 45]
Generated Node #0,9,6: 60:[3, 45] Operation: 11+34=45
Moving to Node #0,9,6
Current State: 60:[3, 45], Operations: ['5-2=3', '11+34=45']
Exploring Operation: 45/3=15, Resulting Numbers: [15]
15,60 unequal: No Solution
Moving to Node #0,9,6
Current State: 60:[3, 45], Operations: ['5-2=3', '11+34=45']
Exploring Operation: 3+45=48, Resulting Numbers: [48]
48,60 unequal: No Solution
Moving to Node #0,9,6
Current State: 60:[3, 45], Operations: ['5-2=3', '11+34=45']
Exploring Operation: 45-3=42, Resulting Numbers: [42]
42,60 unequal: No Solution
Moving to Node #0,9
Current State: 60:[11, 34, 3], Operations: ['5-2=3']
Exploring Operation: 34*3=102, Resulting Numbers: [11, 102]
Generated Node #0,9,7: 60:[11, 102] Operation: 34*3=102
Moving to Node #0,9,7
Current State: 60:[11, 102], Operations: ['5-2=3', '34*3=102']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,60 unequal: No Solution
Moving to Node #0,9,7
Current State: 60:[11, 102], Operations: ['5-2=3', '34*3=102']
Exploring Operation: 11+102=113, Resulting Numbers: [113]
113,60 unequal: No Solution
Moving to Node #0
Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [5, 34, 22]
Generated Node #0,10: 60:[5, 34, 22] Operation: 11*2=22
Moving to Node #0,10
Current State: 60:[5, 34, 22], Operations: ['11*2=22']
Exploring Operation: 34-22=12, Resulting Numbers: [5, 12]
Generated Node #0,10,0: 60:[5, 12] Operation: 34-22=12
Moving to Node #0,10,0
Current State: 60:[5, 12], Operations: ['11*2=22', '34-22=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 0.746528 | dfs | Current State: 60:[11, 5, 34, 2], Operations: []
Exploring Operation: 11*2=22, Resulting Numbers: [5, 34, 22]
Generated Node #2: [5, 34, 22] from Operation: 11*2=22
Current State: 60:[5, 34, 22], Operations: ['11*2=22']
Exploring Operation: 34-22=12, Resulting Numbers: [5, 12]
Generated Node #3: [5, 12] from Operation: 34-22=12
Current State: 60:[5, 12], Operations: ['11*2=22', '34-22=12']
Exploring Operation: 5*12=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| mult_heuristic |
[
2,
15,
22,
54
] | 72 | [
"22-2=20",
"54*20=1080",
"1080/15=72"
] | Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 2*22=44, Resulting Numbers: [15, 54, 44]
Generated Node #0,0: 72:[15, 54, 44] Operation: 2*22=44
Moving to Node #0,0
Current State: 72:[15, 54, 44], Operations: ['2*22=44']
Exploring Operation: 15+54=69, Resulting Numbers: [44, 69]
Generated Node #0,0,0: 72:[44, 69] Operation: 15+54=69
Moving to Node #0,0,0
Current State: 72:[44, 69], Operations: ['2*22=44', '15+54=69']
Exploring Operation: 44+69=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Moving to Node #0,0,0
Current State: 72:[44, 69], Operations: ['2*22=44', '15+54=69']
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Moving to Node #0,0
Current State: 72:[15, 54, 44], Operations: ['2*22=44']
Exploring Operation: 15+44=59, Resulting Numbers: [54, 59]
Generated Node #0,0,1: 72:[54, 59] Operation: 15+44=59
Moving to Node #0,0,1
Current State: 72:[54, 59], Operations: ['2*22=44', '15+44=59']
Exploring Operation: 54+59=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[54, 59], Operations: ['2*22=44', '15+44=59']
Exploring Operation: 59-54=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Moving to Node #0,0
Current State: 72:[15, 54, 44], Operations: ['2*22=44']
Exploring Operation: 54-15=39, Resulting Numbers: [44, 39]
Generated Node #0,0,2: 72:[44, 39] Operation: 54-15=39
Moving to Node #0,0,2
Current State: 72:[44, 39], Operations: ['2*22=44', '54-15=39']
Exploring Operation: 44+39=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[44, 39], Operations: ['2*22=44', '54-15=39']
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Moving to Node #0,0
Current State: 72:[15, 54, 44], Operations: ['2*22=44']
Exploring Operation: 44-15=29, Resulting Numbers: [54, 29]
Generated Node #0,0,3: 72:[54, 29] Operation: 44-15=29
Moving to Node #0,0,3
Current State: 72:[54, 29], Operations: ['2*22=44', '44-15=29']
Exploring Operation: 54+29=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Moving to Node #0,0,3
Current State: 72:[54, 29], Operations: ['2*22=44', '44-15=29']
Exploring Operation: 54-29=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Moving to Node #0,0
Current State: 72:[15, 54, 44], Operations: ['2*22=44']
Exploring Operation: 54+44=98, Resulting Numbers: [15, 98]
Generated Node #0,0,4: 72:[15, 98] Operation: 54+44=98
Moving to Node #0,0,4
Current State: 72:[15, 98], Operations: ['2*22=44', '54+44=98']
Exploring Operation: 98-15=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Moving to Node #0,0,4
Current State: 72:[15, 98], Operations: ['2*22=44', '54+44=98']
Exploring Operation: 15+98=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Moving to Node #0,0
Current State: 72:[15, 54, 44], Operations: ['2*22=44']
Exploring Operation: 54-44=10, Resulting Numbers: [15, 10]
Generated Node #0,0,5: 72:[15, 10] Operation: 54-44=10
Moving to Node #0,0,5
Current State: 72:[15, 10], Operations: ['2*22=44', '54-44=10']
Exploring Operation: 15+10=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Moving to Node #0,0,5
Current State: 72:[15, 10], Operations: ['2*22=44', '54-44=10']
Exploring Operation: 15-10=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 2*15=30, Resulting Numbers: [22, 54, 30]
Generated Node #0,1: 72:[22, 54, 30] Operation: 2*15=30
Moving to Node #0,1
Current State: 72:[22, 54, 30], Operations: ['2*15=30']
Exploring Operation: 22+30=52, Resulting Numbers: [54, 52]
Generated Node #0,1,0: 72:[54, 52] Operation: 22+30=52
Moving to Node #0,1,0
Current State: 72:[54, 52], Operations: ['2*15=30', '22+30=52']
Exploring Operation: 54+52=106, Resulting Numbers: [106]
106,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[54, 52], Operations: ['2*15=30', '22+30=52']
Exploring Operation: 54-52=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0,1
Current State: 72:[22, 54, 30], Operations: ['2*15=30']
Exploring Operation: 22+54=76, Resulting Numbers: [30, 76]
Generated Node #0,1,1: 72:[30, 76] Operation: 22+54=76
Moving to Node #0,1,1
Current State: 72:[30, 76], Operations: ['2*15=30', '22+54=76']
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[30, 76], Operations: ['2*15=30', '22+54=76']
Exploring Operation: 30+76=106, Resulting Numbers: [106]
106,72 unequal: No Solution
Moving to Node #0,1
Current State: 72:[22, 54, 30], Operations: ['2*15=30']
Exploring Operation: 54+30=84, Resulting Numbers: [22, 84]
Generated Node #0,1,2: 72:[22, 84] Operation: 54+30=84
Moving to Node #0,1,2
Current State: 72:[22, 84], Operations: ['2*15=30', '54+30=84']
Exploring Operation: 84-22=62, Resulting Numbers: [62]
62,72 unequal: No Solution
Moving to Node #0,1,2
Current State: 72:[22, 84], Operations: ['2*15=30', '54+30=84']
Exploring Operation: 22+84=106, Resulting Numbers: [106]
106,72 unequal: No Solution
Moving to Node #0,1
Current State: 72:[22, 54, 30], Operations: ['2*15=30']
Exploring Operation: 54-22=32, Resulting Numbers: [30, 32]
Generated Node #0,1,3: 72:[30, 32] Operation: 54-22=32
Moving to Node #0,1,3
Current State: 72:[30, 32], Operations: ['2*15=30', '54-22=32']
Exploring Operation: 30+32=62, Resulting Numbers: [62]
62,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[30, 32], Operations: ['2*15=30', '54-22=32']
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0,1
Current State: 72:[22, 54, 30], Operations: ['2*15=30']
Exploring Operation: 30-22=8, Resulting Numbers: [54, 8]
Generated Node #0,1,4: 72:[54, 8] Operation: 30-22=8
Moving to Node #0,1,4
Current State: 72:[54, 8], Operations: ['2*15=30', '30-22=8']
Exploring Operation: 54+8=62, Resulting Numbers: [62]
62,72 unequal: No Solution
Moving to Node #0,1,4
Current State: 72:[54, 8], Operations: ['2*15=30', '30-22=8']
Exploring Operation: 54-8=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Moving to Node #0,1
Current State: 72:[22, 54, 30], Operations: ['2*15=30']
Exploring Operation: 54-30=24, Resulting Numbers: [22, 24]
Generated Node #0,1,5: 72:[22, 24] Operation: 54-30=24
Moving to Node #0,1,5
Current State: 72:[22, 24], Operations: ['2*15=30', '54-30=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Moving to Node #0,1,5
Current State: 72:[22, 24], Operations: ['2*15=30', '54-30=24']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 2+15=17, Resulting Numbers: [22, 54, 17]
Generated Node #0,2: 72:[22, 54, 17] Operation: 2+15=17
Moving to Node #0,2
Current State: 72:[22, 54, 17], Operations: ['2+15=17']
Exploring Operation: 22+17=39, Resulting Numbers: [54, 39]
Generated Node #0,2,0: 72:[54, 39] Operation: 22+17=39
Moving to Node #0,2,0
Current State: 72:[54, 39], Operations: ['2+15=17', '22+17=39']
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,2,0
Current State: 72:[54, 39], Operations: ['2+15=17', '22+17=39']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,2
Current State: 72:[22, 54, 17], Operations: ['2+15=17']
Exploring Operation: 54+17=71, Resulting Numbers: [22, 71]
Generated Node #0,2,1: 72:[22, 71] Operation: 54+17=71
Moving to Node #0,2,1
Current State: 72:[22, 71], Operations: ['2+15=17', '54+17=71']
Exploring Operation: 22+71=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[22, 71], Operations: ['2+15=17', '54+17=71']
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,2
Current State: 72:[22, 54, 17], Operations: ['2+15=17']
Exploring Operation: 22+54=76, Resulting Numbers: [17, 76]
Generated Node #0,2,2: 72:[17, 76] Operation: 22+54=76
Moving to Node #0,2,2
Current State: 72:[17, 76], Operations: ['2+15=17', '22+54=76']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[17, 76], Operations: ['2+15=17', '22+54=76']
Exploring Operation: 17+76=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,2
Current State: 72:[22, 54, 17], Operations: ['2+15=17']
Exploring Operation: 22-17=5, Resulting Numbers: [54, 5]
Generated Node #0,2,3: 72:[54, 5] Operation: 22-17=5
Moving to Node #0,2,3
Current State: 72:[54, 5], Operations: ['2+15=17', '22-17=5']
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,2,3
Current State: 72:[54, 5], Operations: ['2+15=17', '22-17=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,2
Current State: 72:[22, 54, 17], Operations: ['2+15=17']
Exploring Operation: 54-17=37, Resulting Numbers: [22, 37]
Generated Node #0,2,4: 72:[22, 37] Operation: 54-17=37
Moving to Node #0,2,4
Current State: 72:[22, 37], Operations: ['2+15=17', '54-17=37']
Exploring Operation: 22+37=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,2,4
Current State: 72:[22, 37], Operations: ['2+15=17', '54-17=37']
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,2
Current State: 72:[22, 54, 17], Operations: ['2+15=17']
Exploring Operation: 54-22=32, Resulting Numbers: [17, 32]
Generated Node #0,2,5: 72:[17, 32] Operation: 54-22=32
Moving to Node #0,2,5
Current State: 72:[17, 32], Operations: ['2+15=17', '54-22=32']
Exploring Operation: 17+32=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,2,5
Current State: 72:[17, 32], Operations: ['2+15=17', '54-22=32']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 2+22=24, Resulting Numbers: [15, 54, 24]
Generated Node #0,3: 72:[15, 54, 24] Operation: 2+22=24
Moving to Node #0,3
Current State: 72:[15, 54, 24], Operations: ['2+22=24']
Exploring Operation: 15+54=69, Resulting Numbers: [24, 69]
Generated Node #0,3,0: 72:[24, 69] Operation: 15+54=69
Moving to Node #0,3,0
Current State: 72:[24, 69], Operations: ['2+22=24', '15+54=69']
Exploring Operation: 24+69=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,3,0
Current State: 72:[24, 69], Operations: ['2+22=24', '15+54=69']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,3
Current State: 72:[15, 54, 24], Operations: ['2+22=24']
Exploring Operation: 15+24=39, Resulting Numbers: [54, 39]
Generated Node #0,3,1: 72:[54, 39] Operation: 15+24=39
Moving to Node #0,3,1
Current State: 72:[54, 39], Operations: ['2+22=24', '15+24=39']
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,3,1
Current State: 72:[54, 39], Operations: ['2+22=24', '15+24=39']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,3
Current State: 72:[15, 54, 24], Operations: ['2+22=24']
Exploring Operation: 54+24=78, Resulting Numbers: [15, 78]
Generated Node #0,3,2: 72:[15, 78] Operation: 54+24=78
Moving to Node #0,3,2
Current State: 72:[15, 78], Operations: ['2+22=24', '54+24=78']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[15, 78], Operations: ['2+22=24', '54+24=78']
Exploring Operation: 15+78=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,3
Current State: 72:[15, 54, 24], Operations: ['2+22=24']
Exploring Operation: 54-15=39, Resulting Numbers: [24, 39]
Generated Node #0,3,3: 72:[24, 39] Operation: 54-15=39
Moving to Node #0,3,3
Current State: 72:[24, 39], Operations: ['2+22=24', '54-15=39']
Exploring Operation: 24+39=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[24, 39], Operations: ['2+22=24', '54-15=39']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,3
Current State: 72:[15, 54, 24], Operations: ['2+22=24']
Exploring Operation: 24-15=9, Resulting Numbers: [54, 9]
Generated Node #0,3,4: 72:[54, 9] Operation: 24-15=9
Moving to Node #0,3,4
Current State: 72:[54, 9], Operations: ['2+22=24', '24-15=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,3,4
Current State: 72:[54, 9], Operations: ['2+22=24', '24-15=9']
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,3,4
Current State: 72:[54, 9], Operations: ['2+22=24', '24-15=9']
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Moving to Node #0,3
Current State: 72:[15, 54, 24], Operations: ['2+22=24']
Exploring Operation: 54-24=30, Resulting Numbers: [15, 30]
Generated Node #0,3,5: 72:[15, 30] Operation: 54-24=30
Moving to Node #0,3,5
Current State: 72:[15, 30], Operations: ['2+22=24', '54-24=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,3,5
Current State: 72:[15, 30], Operations: ['2+22=24', '54-24=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,3,5
Current State: 72:[15, 30], Operations: ['2+22=24', '54-24=30']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 2+54=56, Resulting Numbers: [15, 22, 56]
Generated Node #0,4: 72:[15, 22, 56] Operation: 2+54=56
Moving to Node #0,4
Current State: 72:[15, 22, 56], Operations: ['2+54=56']
Exploring Operation: 15+22=37, Resulting Numbers: [56, 37]
Generated Node #0,4,0: 72:[56, 37] Operation: 15+22=37
Moving to Node #0,4,0
Current State: 72:[56, 37], Operations: ['2+54=56', '15+22=37']
Exploring Operation: 56+37=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,4,0
Current State: 72:[56, 37], Operations: ['2+54=56', '15+22=37']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,4
Current State: 72:[15, 22, 56], Operations: ['2+54=56']
Exploring Operation: 15+56=71, Resulting Numbers: [22, 71]
Generated Node #0,4,1: 72:[22, 71] Operation: 15+56=71
Moving to Node #0,4,1
Current State: 72:[22, 71], Operations: ['2+54=56', '15+56=71']
Exploring Operation: 22+71=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,4,1
Current State: 72:[22, 71], Operations: ['2+54=56', '15+56=71']
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,4
Current State: 72:[15, 22, 56], Operations: ['2+54=56']
Exploring Operation: 22+56=78, Resulting Numbers: [15, 78]
Generated Node #0,4,2: 72:[15, 78] Operation: 22+56=78
Moving to Node #0,4,2
Current State: 72:[15, 78], Operations: ['2+54=56', '22+56=78']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,4,2
Current State: 72:[15, 78], Operations: ['2+54=56', '22+56=78']
Exploring Operation: 15+78=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,4
Current State: 72:[15, 22, 56], Operations: ['2+54=56']
Exploring Operation: 22-15=7, Resulting Numbers: [56, 7]
Generated Node #0,4,3: 72:[56, 7] Operation: 22-15=7
Moving to Node #0,4,3
Current State: 72:[56, 7], Operations: ['2+54=56', '22-15=7']
Exploring Operation: 56+7=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,4,3
Current State: 72:[56, 7], Operations: ['2+54=56', '22-15=7']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,4,3
Current State: 72:[56, 7], Operations: ['2+54=56', '22-15=7']
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Moving to Node #0,4
Current State: 72:[15, 22, 56], Operations: ['2+54=56']
Exploring Operation: 56-15=41, Resulting Numbers: [22, 41]
Generated Node #0,4,4: 72:[22, 41] Operation: 56-15=41
Moving to Node #0,4,4
Current State: 72:[22, 41], Operations: ['2+54=56', '56-15=41']
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,4,4
Current State: 72:[22, 41], Operations: ['2+54=56', '56-15=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,4
Current State: 72:[15, 22, 56], Operations: ['2+54=56']
Exploring Operation: 56-22=34, Resulting Numbers: [15, 34]
Generated Node #0,4,5: 72:[15, 34] Operation: 56-22=34
Moving to Node #0,4,5
Current State: 72:[15, 34], Operations: ['2+54=56', '56-22=34']
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,4,5
Current State: 72:[15, 34], Operations: ['2+54=56', '56-22=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 15+22=37, Resulting Numbers: [2, 54, 37]
Generated Node #0,5: 72:[2, 54, 37] Operation: 15+22=37
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 2*37=74, Resulting Numbers: [54, 74]
Generated Node #0,5,0: 72:[54, 74] Operation: 2*37=74
Moving to Node #0,5,0
Current State: 72:[54, 74], Operations: ['15+22=37', '2*37=74']
Exploring Operation: 74-54=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Moving to Node #0,5,0
Current State: 72:[54, 74], Operations: ['15+22=37', '2*37=74']
Exploring Operation: 54+74=128, Resulting Numbers: [128]
128,72 unequal: No Solution
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 2+54=56, Resulting Numbers: [37, 56]
Generated Node #0,5,1: 72:[37, 56] Operation: 2+54=56
Moving to Node #0,5,1
Current State: 72:[37, 56], Operations: ['15+22=37', '2+54=56']
Exploring Operation: 37+56=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,5,1
Current State: 72:[37, 56], Operations: ['15+22=37', '2+54=56']
Exploring Operation: 56-37=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 2+37=39, Resulting Numbers: [54, 39]
Generated Node #0,5,2: 72:[54, 39] Operation: 2+37=39
Moving to Node #0,5,2
Current State: 72:[54, 39], Operations: ['15+22=37', '2+37=39']
Exploring Operation: 54+39=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,5,2
Current State: 72:[54, 39], Operations: ['15+22=37', '2+37=39']
Exploring Operation: 54-39=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 54-2=52, Resulting Numbers: [37, 52]
Generated Node #0,5,3: 72:[37, 52] Operation: 54-2=52
Moving to Node #0,5,3
Current State: 72:[37, 52], Operations: ['15+22=37', '54-2=52']
Exploring Operation: 37+52=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,5,3
Current State: 72:[37, 52], Operations: ['15+22=37', '54-2=52']
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 37-2=35, Resulting Numbers: [54, 35]
Generated Node #0,5,4: 72:[54, 35] Operation: 37-2=35
Moving to Node #0,5,4
Current State: 72:[54, 35], Operations: ['15+22=37', '37-2=35']
Exploring Operation: 54+35=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,5,4
Current State: 72:[54, 35], Operations: ['15+22=37', '37-2=35']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 2*54=108, Resulting Numbers: [37, 108]
Generated Node #0,5,5: 72:[37, 108] Operation: 2*54=108
Moving to Node #0,5,5
Current State: 72:[37, 108], Operations: ['15+22=37', '2*54=108']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 54/2=27, Resulting Numbers: [37, 27]
Generated Node #0,5,6: 72:[37, 27] Operation: 54/2=27
Moving to Node #0,5,6
Current State: 72:[37, 27], Operations: ['15+22=37', '54/2=27']
Exploring Operation: 37+27=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Moving to Node #0,5,6
Current State: 72:[37, 27], Operations: ['15+22=37', '54/2=27']
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 54+37=91, Resulting Numbers: [2, 91]
Generated Node #0,5,7: 72:[2, 91] Operation: 54+37=91
Moving to Node #0,5,7
Current State: 72:[2, 91], Operations: ['15+22=37', '54+37=91']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,5,7
Current State: 72:[2, 91], Operations: ['15+22=37', '54+37=91']
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,5
Current State: 72:[2, 54, 37], Operations: ['15+22=37']
Exploring Operation: 54-37=17, Resulting Numbers: [2, 17]
Generated Node #0,5,8: 72:[2, 17] Operation: 54-37=17
Moving to Node #0,5,8
Current State: 72:[2, 17], Operations: ['15+22=37', '54-37=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,5,8
Current State: 72:[2, 17], Operations: ['15+22=37', '54-37=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,5,8
Current State: 72:[2, 17], Operations: ['15+22=37', '54-37=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 15+54=69, Resulting Numbers: [2, 22, 69]
Generated Node #0,6: 72:[2, 22, 69] Operation: 15+54=69
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 2*22=44, Resulting Numbers: [69, 44]
Generated Node #0,6,0: 72:[69, 44] Operation: 2*22=44
Moving to Node #0,6,0
Current State: 72:[69, 44], Operations: ['15+54=69', '2*22=44']
Exploring Operation: 69+44=113, Resulting Numbers: [113]
113,72 unequal: No Solution
Moving to Node #0,6,0
Current State: 72:[69, 44], Operations: ['15+54=69', '2*22=44']
Exploring Operation: 69-44=25, Resulting Numbers: [25]
25,72 unequal: No Solution
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 2+22=24, Resulting Numbers: [69, 24]
Generated Node #0,6,1: 72:[69, 24] Operation: 2+22=24
Moving to Node #0,6,1
Current State: 72:[69, 24], Operations: ['15+54=69', '2+22=24']
Exploring Operation: 69+24=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,6,1
Current State: 72:[69, 24], Operations: ['15+54=69', '2+22=24']
Exploring Operation: 69-24=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 2+69=71, Resulting Numbers: [22, 71]
Generated Node #0,6,2: 72:[22, 71] Operation: 2+69=71
Moving to Node #0,6,2
Current State: 72:[22, 71], Operations: ['15+54=69', '2+69=71']
Exploring Operation: 22+71=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,6,2
Current State: 72:[22, 71], Operations: ['15+54=69', '2+69=71']
Exploring Operation: 71-22=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 22-2=20, Resulting Numbers: [69, 20]
Generated Node #0,6,3: 72:[69, 20] Operation: 22-2=20
Moving to Node #0,6,3
Current State: 72:[69, 20], Operations: ['15+54=69', '22-2=20']
Exploring Operation: 69+20=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,6,3
Current State: 72:[69, 20], Operations: ['15+54=69', '22-2=20']
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 69-2=67, Resulting Numbers: [22, 67]
Generated Node #0,6,4: 72:[22, 67] Operation: 69-2=67
Moving to Node #0,6,4
Current State: 72:[22, 67], Operations: ['15+54=69', '69-2=67']
Exploring Operation: 22+67=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,6,4
Current State: 72:[22, 67], Operations: ['15+54=69', '69-2=67']
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 22/2=11, Resulting Numbers: [69, 11]
Generated Node #0,6,5: 72:[69, 11] Operation: 22/2=11
Moving to Node #0,6,5
Current State: 72:[69, 11], Operations: ['15+54=69', '22/2=11']
Exploring Operation: 69+11=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Moving to Node #0,6,5
Current State: 72:[69, 11], Operations: ['15+54=69', '22/2=11']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,72 unequal: No Solution
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 22+69=91, Resulting Numbers: [2, 91]
Generated Node #0,6,6: 72:[2, 91] Operation: 22+69=91
Moving to Node #0,6,6
Current State: 72:[2, 91], Operations: ['15+54=69', '22+69=91']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,6,6
Current State: 72:[2, 91], Operations: ['15+54=69', '22+69=91']
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 69-22=47, Resulting Numbers: [2, 47]
Generated Node #0,6,7: 72:[2, 47] Operation: 69-22=47
Moving to Node #0,6,7
Current State: 72:[2, 47], Operations: ['15+54=69', '69-22=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,72 unequal: No Solution
Moving to Node #0,6,7
Current State: 72:[2, 47], Operations: ['15+54=69', '69-22=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,6,7
Current State: 72:[2, 47], Operations: ['15+54=69', '69-22=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,6
Current State: 72:[2, 22, 69], Operations: ['15+54=69']
Exploring Operation: 2*69=138, Resulting Numbers: [22, 138]
Generated Node #0,6,8: 72:[22, 138] Operation: 2*69=138
Moving to Node #0,6,8
Current State: 72:[22, 138], Operations: ['15+54=69', '2*69=138']
Exploring Operation: 138-22=116, Resulting Numbers: [116]
116,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 15-2=13, Resulting Numbers: [22, 54, 13]
Generated Node #0,7: 72:[22, 54, 13] Operation: 15-2=13
Moving to Node #0,7
Current State: 72:[22, 54, 13], Operations: ['15-2=13']
Exploring Operation: 22+13=35, Resulting Numbers: [54, 35]
Generated Node #0,7,0: 72:[54, 35] Operation: 22+13=35
Moving to Node #0,7,0
Current State: 72:[54, 35], Operations: ['15-2=13', '22+13=35']
Exploring Operation: 54+35=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,7,0
Current State: 72:[54, 35], Operations: ['15-2=13', '22+13=35']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,7
Current State: 72:[22, 54, 13], Operations: ['15-2=13']
Exploring Operation: 54+13=67, Resulting Numbers: [22, 67]
Generated Node #0,7,1: 72:[22, 67] Operation: 54+13=67
Moving to Node #0,7,1
Current State: 72:[22, 67], Operations: ['15-2=13', '54+13=67']
Exploring Operation: 22+67=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,7,1
Current State: 72:[22, 67], Operations: ['15-2=13', '54+13=67']
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,7
Current State: 72:[22, 54, 13], Operations: ['15-2=13']
Exploring Operation: 22+54=76, Resulting Numbers: [13, 76]
Generated Node #0,7,2: 72:[13, 76] Operation: 22+54=76
Moving to Node #0,7,2
Current State: 72:[13, 76], Operations: ['15-2=13', '22+54=76']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,7,2
Current State: 72:[13, 76], Operations: ['15-2=13', '22+54=76']
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,7
Current State: 72:[22, 54, 13], Operations: ['15-2=13']
Exploring Operation: 22-13=9, Resulting Numbers: [54, 9]
Generated Node #0,7,3: 72:[54, 9] Operation: 22-13=9
Moving to Node #0,7,3
Current State: 72:[54, 9], Operations: ['15-2=13', '22-13=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,7,3
Current State: 72:[54, 9], Operations: ['15-2=13', '22-13=9']
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,7,3
Current State: 72:[54, 9], Operations: ['15-2=13', '22-13=9']
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Moving to Node #0,7
Current State: 72:[22, 54, 13], Operations: ['15-2=13']
Exploring Operation: 54-13=41, Resulting Numbers: [22, 41]
Generated Node #0,7,4: 72:[22, 41] Operation: 54-13=41
Moving to Node #0,7,4
Current State: 72:[22, 41], Operations: ['15-2=13', '54-13=41']
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,7,4
Current State: 72:[22, 41], Operations: ['15-2=13', '54-13=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,7
Current State: 72:[22, 54, 13], Operations: ['15-2=13']
Exploring Operation: 54-22=32, Resulting Numbers: [13, 32]
Generated Node #0,7,5: 72:[13, 32] Operation: 54-22=32
Moving to Node #0,7,5
Current State: 72:[13, 32], Operations: ['15-2=13', '54-22=32']
Exploring Operation: 13+32=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,7,5
Current State: 72:[13, 32], Operations: ['15-2=13', '54-22=32']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [15, 54, 20]
Generated Node #0,8: 72:[15, 54, 20] Operation: 22-2=20
Moving to Node #0,8
Current State: 72:[15, 54, 20], Operations: ['22-2=20']
Exploring Operation: 15+54=69, Resulting Numbers: [20, 69]
Generated Node #0,8,0: 72:[20, 69] Operation: 15+54=69
Moving to Node #0,8,0
Current State: 72:[20, 69], Operations: ['22-2=20', '15+54=69']
Exploring Operation: 20+69=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,8,0
Current State: 72:[20, 69], Operations: ['22-2=20', '15+54=69']
Exploring Operation: 69-20=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,8
Current State: 72:[15, 54, 20], Operations: ['22-2=20']
Exploring Operation: 15+20=35, Resulting Numbers: [54, 35]
Generated Node #0,8,1: 72:[54, 35] Operation: 15+20=35
Moving to Node #0,8,1
Current State: 72:[54, 35], Operations: ['22-2=20', '15+20=35']
Exploring Operation: 54+35=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,8,1
Current State: 72:[54, 35], Operations: ['22-2=20', '15+20=35']
Exploring Operation: 54-35=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,8
Current State: 72:[15, 54, 20], Operations: ['22-2=20']
Exploring Operation: 54+20=74, Resulting Numbers: [15, 74]
Generated Node #0,8,2: 72:[15, 74] Operation: 54+20=74
Moving to Node #0,8,2
Current State: 72:[15, 74], Operations: ['22-2=20', '54+20=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,8,2
Current State: 72:[15, 74], Operations: ['22-2=20', '54+20=74']
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,8
Current State: 72:[15, 54, 20], Operations: ['22-2=20']
Exploring Operation: 54-15=39, Resulting Numbers: [20, 39]
Generated Node #0,8,3: 72:[20, 39] Operation: 54-15=39
Moving to Node #0,8,3
Current State: 72:[20, 39], Operations: ['22-2=20', '54-15=39']
Exploring Operation: 20+39=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,8,3
Current State: 72:[20, 39], Operations: ['22-2=20', '54-15=39']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,8
Current State: 72:[15, 54, 20], Operations: ['22-2=20']
Exploring Operation: 20-15=5, Resulting Numbers: [54, 5]
Generated Node #0,8,4: 72:[54, 5] Operation: 20-15=5
Moving to Node #0,8,4
Current State: 72:[54, 5], Operations: ['22-2=20', '20-15=5']
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,8,4
Current State: 72:[54, 5], Operations: ['22-2=20', '20-15=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,8
Current State: 72:[15, 54, 20], Operations: ['22-2=20']
Exploring Operation: 54-20=34, Resulting Numbers: [15, 34]
Generated Node #0,8,5: 72:[15, 34] Operation: 54-20=34
Moving to Node #0,8,5
Current State: 72:[15, 34], Operations: ['22-2=20', '54-20=34']
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,8,5
Current State: 72:[15, 34], Operations: ['22-2=20', '54-20=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 54-2=52, Resulting Numbers: [15, 22, 52]
Generated Node #0,9: 72:[15, 22, 52] Operation: 54-2=52
Moving to Node #0,9
Current State: 72:[15, 22, 52], Operations: ['54-2=52']
Exploring Operation: 15+22=37, Resulting Numbers: [52, 37]
Generated Node #0,9,0: 72:[52, 37] Operation: 15+22=37
Moving to Node #0,9,0
Current State: 72:[52, 37], Operations: ['54-2=52', '15+22=37']
Exploring Operation: 52+37=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,9,0
Current State: 72:[52, 37], Operations: ['54-2=52', '15+22=37']
Exploring Operation: 52-37=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,9
Current State: 72:[15, 22, 52], Operations: ['54-2=52']
Exploring Operation: 15+52=67, Resulting Numbers: [22, 67]
Generated Node #0,9,1: 72:[22, 67] Operation: 15+52=67
Moving to Node #0,9,1
Current State: 72:[22, 67], Operations: ['54-2=52', '15+52=67']
Exploring Operation: 22+67=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,9,1
Current State: 72:[22, 67], Operations: ['54-2=52', '15+52=67']
Exploring Operation: 67-22=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,9
Current State: 72:[15, 22, 52], Operations: ['54-2=52']
Exploring Operation: 22+52=74, Resulting Numbers: [15, 74]
Generated Node #0,9,2: 72:[15, 74] Operation: 22+52=74
Moving to Node #0,9,2
Current State: 72:[15, 74], Operations: ['54-2=52', '22+52=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,9,2
Current State: 72:[15, 74], Operations: ['54-2=52', '22+52=74']
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,9
Current State: 72:[15, 22, 52], Operations: ['54-2=52']
Exploring Operation: 22-15=7, Resulting Numbers: [52, 7]
Generated Node #0,9,3: 72:[52, 7] Operation: 22-15=7
Moving to Node #0,9,3
Current State: 72:[52, 7], Operations: ['54-2=52', '22-15=7']
Exploring Operation: 52+7=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,9,3
Current State: 72:[52, 7], Operations: ['54-2=52', '22-15=7']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,9
Current State: 72:[15, 22, 52], Operations: ['54-2=52']
Exploring Operation: 52-15=37, Resulting Numbers: [22, 37]
Generated Node #0,9,4: 72:[22, 37] Operation: 52-15=37
Moving to Node #0,9,4
Current State: 72:[22, 37], Operations: ['54-2=52', '52-15=37']
Exploring Operation: 22+37=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,9,4
Current State: 72:[22, 37], Operations: ['54-2=52', '52-15=37']
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,9
Current State: 72:[15, 22, 52], Operations: ['54-2=52']
Exploring Operation: 52-22=30, Resulting Numbers: [15, 30]
Generated Node #0,9,5: 72:[15, 30] Operation: 52-22=30
Moving to Node #0,9,5
Current State: 72:[15, 30], Operations: ['54-2=52', '52-22=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,9,5
Current State: 72:[15, 30], Operations: ['54-2=52', '52-22=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,9,5
Current State: 72:[15, 30], Operations: ['54-2=52', '52-22=30']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 22+54=76, Resulting Numbers: [2, 15, 76]
Generated Node #0,10: 72:[2, 15, 76] Operation: 22+54=76
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 2*15=30, Resulting Numbers: [76, 30]
Generated Node #0,10,0: 72:[76, 30] Operation: 2*15=30
Moving to Node #0,10,0
Current State: 72:[76, 30], Operations: ['22+54=76', '2*15=30']
Exploring Operation: 76-30=46, Resulting Numbers: [46]
46,72 unequal: No Solution
Moving to Node #0,10,0
Current State: 72:[76, 30], Operations: ['22+54=76', '2*15=30']
Exploring Operation: 76+30=106, Resulting Numbers: [106]
106,72 unequal: No Solution
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 2+15=17, Resulting Numbers: [76, 17]
Generated Node #0,10,1: 72:[76, 17] Operation: 2+15=17
Moving to Node #0,10,1
Current State: 72:[76, 17], Operations: ['22+54=76', '2+15=17']
Exploring Operation: 76-17=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,10,1
Current State: 72:[76, 17], Operations: ['22+54=76', '2+15=17']
Exploring Operation: 76+17=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 76-2=74, Resulting Numbers: [15, 74]
Generated Node #0,10,2: 72:[15, 74] Operation: 76-2=74
Moving to Node #0,10,2
Current State: 72:[15, 74], Operations: ['22+54=76', '76-2=74']
Exploring Operation: 74-15=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,10,2
Current State: 72:[15, 74], Operations: ['22+54=76', '76-2=74']
Exploring Operation: 15+74=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 15-2=13, Resulting Numbers: [76, 13]
Generated Node #0,10,3: 72:[76, 13] Operation: 15-2=13
Moving to Node #0,10,3
Current State: 72:[76, 13], Operations: ['22+54=76', '15-2=13']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,10,3
Current State: 72:[76, 13], Operations: ['22+54=76', '15-2=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 2+76=78, Resulting Numbers: [15, 78]
Generated Node #0,10,4: 72:[15, 78] Operation: 2+76=78
Moving to Node #0,10,4
Current State: 72:[15, 78], Operations: ['22+54=76', '2+76=78']
Exploring Operation: 78-15=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,10,4
Current State: 72:[15, 78], Operations: ['22+54=76', '2+76=78']
Exploring Operation: 15+78=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 76-15=61, Resulting Numbers: [2, 61]
Generated Node #0,10,5: 72:[2, 61] Operation: 76-15=61
Moving to Node #0,10,5
Current State: 72:[2, 61], Operations: ['22+54=76', '76-15=61']
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,10,5
Current State: 72:[2, 61], Operations: ['22+54=76', '76-15=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,10,5
Current State: 72:[2, 61], Operations: ['22+54=76', '76-15=61']
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,72 unequal: No Solution
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 15+76=91, Resulting Numbers: [2, 91]
Generated Node #0,10,6: 72:[2, 91] Operation: 15+76=91
Moving to Node #0,10,6
Current State: 72:[2, 91], Operations: ['22+54=76', '15+76=91']
Exploring Operation: 91-2=89, Resulting Numbers: [89]
89,72 unequal: No Solution
Moving to Node #0,10,6
Current State: 72:[2, 91], Operations: ['22+54=76', '15+76=91']
Exploring Operation: 2+91=93, Resulting Numbers: [93]
93,72 unequal: No Solution
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 76/2=38, Resulting Numbers: [15, 38]
Generated Node #0,10,7: 72:[15, 38] Operation: 76/2=38
Moving to Node #0,10,7
Current State: 72:[15, 38], Operations: ['22+54=76', '76/2=38']
Exploring Operation: 15+38=53, Resulting Numbers: [53]
53,72 unequal: No Solution
Moving to Node #0,10,7
Current State: 72:[15, 38], Operations: ['22+54=76', '76/2=38']
Exploring Operation: 38-15=23, Resulting Numbers: [23]
23,72 unequal: No Solution
Moving to Node #0,10
Current State: 72:[2, 15, 76], Operations: ['22+54=76']
Exploring Operation: 2*76=152, Resulting Numbers: [15, 152]
Generated Node #0,10,8: 72:[15, 152] Operation: 2*76=152
Moving to Node #0,10,8
Current State: 72:[15, 152], Operations: ['22+54=76', '2*76=152']
Exploring Operation: 152-15=137, Resulting Numbers: [137]
137,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 22/2=11, Resulting Numbers: [15, 54, 11]
Generated Node #0,11: 72:[15, 54, 11] Operation: 22/2=11
Moving to Node #0,11
Current State: 72:[15, 54, 11], Operations: ['22/2=11']
Exploring Operation: 15+54=69, Resulting Numbers: [11, 69]
Generated Node #0,11,0: 72:[11, 69] Operation: 15+54=69
Moving to Node #0,11,0
Current State: 72:[11, 69], Operations: ['22/2=11', '15+54=69']
Exploring Operation: 11+69=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Moving to Node #0,11,0
Current State: 72:[11, 69], Operations: ['22/2=11', '15+54=69']
Exploring Operation: 69-11=58, Resulting Numbers: [58]
58,72 unequal: No Solution
Moving to Node #0,11
Current State: 72:[15, 54, 11], Operations: ['22/2=11']
Exploring Operation: 15+11=26, Resulting Numbers: [54, 26]
Generated Node #0,11,1: 72:[54, 26] Operation: 15+11=26
Moving to Node #0,11,1
Current State: 72:[54, 26], Operations: ['22/2=11', '15+11=26']
Exploring Operation: 54+26=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Moving to Node #0,11,1
Current State: 72:[54, 26], Operations: ['22/2=11', '15+11=26']
Exploring Operation: 54-26=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Moving to Node #0,11
Current State: 72:[15, 54, 11], Operations: ['22/2=11']
Exploring Operation: 54+11=65, Resulting Numbers: [15, 65]
Generated Node #0,11,2: 72:[15, 65] Operation: 54+11=65
Moving to Node #0,11,2
Current State: 72:[15, 65], Operations: ['22/2=11', '54+11=65']
Exploring Operation: 15+65=80, Resulting Numbers: [80]
80,72 unequal: No Solution
Moving to Node #0,11,2
Current State: 72:[15, 65], Operations: ['22/2=11', '54+11=65']
Exploring Operation: 65-15=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Moving to Node #0,11
Current State: 72:[15, 54, 11], Operations: ['22/2=11']
Exploring Operation: 15-11=4, Resulting Numbers: [54, 4]
Generated Node #0,11,3: 72:[54, 4] Operation: 15-11=4
Moving to Node #0,11,3
Current State: 72:[54, 4], Operations: ['22/2=11', '15-11=4']
Exploring Operation: 54+4=58, Resulting Numbers: [58]
58,72 unequal: No Solution
Moving to Node #0,11,3
Current State: 72:[54, 4], Operations: ['22/2=11', '15-11=4']
Exploring Operation: 54-4=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Moving to Node #0,11
Current State: 72:[15, 54, 11], Operations: ['22/2=11']
Exploring Operation: 54-11=43, Resulting Numbers: [15, 43]
Generated Node #0,11,4: 72:[15, 43] Operation: 54-11=43
Moving to Node #0,11,4
Current State: 72:[15, 43], Operations: ['22/2=11', '54-11=43']
Exploring Operation: 15+43=58, Resulting Numbers: [58]
58,72 unequal: No Solution
Moving to Node #0,11,4
Current State: 72:[15, 43], Operations: ['22/2=11', '54-11=43']
Exploring Operation: 43-15=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Moving to Node #0,11
Current State: 72:[15, 54, 11], Operations: ['22/2=11']
Exploring Operation: 54-15=39, Resulting Numbers: [11, 39]
Generated Node #0,11,5: 72:[11, 39] Operation: 54-15=39
Moving to Node #0,11,5
Current State: 72:[11, 39], Operations: ['22/2=11', '54-15=39']
Exploring Operation: 11+39=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Moving to Node #0,11,5
Current State: 72:[11, 39], Operations: ['22/2=11', '54-15=39']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Moving to Node #0,11
Current State: 72:[15, 54, 11], Operations: ['22/2=11']
Exploring Operation: 15*11=165, Resulting Numbers: [54, 165]
Generated Node #0,11,6: 72:[54, 165] Operation: 15*11=165
Moving to Node #0,11,6
Current State: 72:[54, 165], Operations: ['22/2=11', '15*11=165']
Exploring Operation: 165-54=111, Resulting Numbers: [111]
111,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 2*54=108, Resulting Numbers: [15, 22, 108]
Generated Node #0,12: 72:[15, 22, 108] Operation: 2*54=108
Moving to Node #0,12
Current State: 72:[15, 22, 108], Operations: ['2*54=108']
Exploring Operation: 15+22=37, Resulting Numbers: [108, 37]
Generated Node #0,12,0: 72:[108, 37] Operation: 15+22=37
Moving to Node #0,12,0
Current State: 72:[108, 37], Operations: ['2*54=108', '15+22=37']
Exploring Operation: 108-37=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Moving to Node #0,12
Current State: 72:[15, 22, 108], Operations: ['2*54=108']
Exploring Operation: 108-15=93, Resulting Numbers: [22, 93]
Generated Node #0,12,1: 72:[22, 93] Operation: 108-15=93
Moving to Node #0,12,1
Current State: 72:[22, 93], Operations: ['2*54=108', '108-15=93']
Exploring Operation: 93-22=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Moving to Node #0,12,1
Current State: 72:[22, 93], Operations: ['2*54=108', '108-15=93']
Exploring Operation: 22+93=115, Resulting Numbers: [115]
115,72 unequal: No Solution
Moving to Node #0,12
Current State: 72:[15, 22, 108], Operations: ['2*54=108']
Exploring Operation: 108-22=86, Resulting Numbers: [15, 86]
Generated Node #0,12,2: 72:[15, 86] Operation: 108-22=86
Moving to Node #0,12,2
Current State: 72:[15, 86], Operations: ['2*54=108', '108-22=86']
Exploring Operation: 86-15=71, Resulting Numbers: [71]
71,72 unequal: No Solution
Moving to Node #0,12,2
Current State: 72:[15, 86], Operations: ['2*54=108', '108-22=86']
Exploring Operation: 15+86=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Moving to Node #0,12
Current State: 72:[15, 22, 108], Operations: ['2*54=108']
Exploring Operation: 22-15=7, Resulting Numbers: [108, 7]
Generated Node #0,12,3: 72:[108, 7] Operation: 22-15=7
Moving to Node #0,12,3
Current State: 72:[108, 7], Operations: ['2*54=108', '22-15=7']
Exploring Operation: 108-7=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Moving to Node #0,12,3
Current State: 72:[108, 7], Operations: ['2*54=108', '22-15=7']
Exploring Operation: 108+7=115, Resulting Numbers: [115]
115,72 unequal: No Solution
Moving to Node #0,12
Current State: 72:[15, 22, 108], Operations: ['2*54=108']
Exploring Operation: 15+108=123, Resulting Numbers: [22, 123]
Generated Node #0,12,4: 72:[22, 123] Operation: 15+108=123
Moving to Node #0,12,4
Current State: 72:[22, 123], Operations: ['2*54=108', '15+108=123']
Exploring Operation: 123-22=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Moving to Node #0,12
Current State: 72:[15, 22, 108], Operations: ['2*54=108']
Exploring Operation: 22+108=130, Resulting Numbers: [15, 130]
Generated Node #0,12,5: 72:[15, 130] Operation: 22+108=130
Moving to Node #0,12,5
Current State: 72:[15, 130], Operations: ['2*54=108', '22+108=130']
Exploring Operation: 130-15=115, Resulting Numbers: [115]
115,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 54/2=27, Resulting Numbers: [15, 22, 27]
Generated Node #0,13: 72:[15, 22, 27] Operation: 54/2=27
Moving to Node #0,13
Current State: 72:[15, 22, 27], Operations: ['54/2=27']
Exploring Operation: 15+22=37, Resulting Numbers: [27, 37]
Generated Node #0,13,0: 72:[27, 37] Operation: 15+22=37
Moving to Node #0,13,0
Current State: 72:[27, 37], Operations: ['54/2=27', '15+22=37']
Exploring Operation: 27+37=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Moving to Node #0,13,0
Current State: 72:[27, 37], Operations: ['54/2=27', '15+22=37']
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Moving to Node #0,13
Current State: 72:[15, 22, 27], Operations: ['54/2=27']
Exploring Operation: 15+27=42, Resulting Numbers: [22, 42]
Generated Node #0,13,1: 72:[22, 42] Operation: 15+27=42
Moving to Node #0,13,1
Current State: 72:[22, 42], Operations: ['54/2=27', '15+27=42']
Exploring Operation: 22+42=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Moving to Node #0,13,1
Current State: 72:[22, 42], Operations: ['54/2=27', '15+27=42']
Exploring Operation: 42-22=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Moving to Node #0,13
Current State: 72:[15, 22, 27], Operations: ['54/2=27']
Exploring Operation: 22+27=49, Resulting Numbers: [15, 49]
Generated Node #0,13,2: 72:[15, 49] Operation: 22+27=49
Moving to Node #0,13,2
Current State: 72:[15, 49], Operations: ['54/2=27', '22+27=49']
Exploring Operation: 15+49=64, Resulting Numbers: [64]
64,72 unequal: No Solution
Moving to Node #0,13,2
Current State: 72:[15, 49], Operations: ['54/2=27', '22+27=49']
Exploring Operation: 49-15=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,13
Current State: 72:[15, 22, 27], Operations: ['54/2=27']
Exploring Operation: 22-15=7, Resulting Numbers: [27, 7]
Generated Node #0,13,3: 72:[27, 7] Operation: 22-15=7
Moving to Node #0,13,3
Current State: 72:[27, 7], Operations: ['54/2=27', '22-15=7']
Exploring Operation: 27+7=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,13,3
Current State: 72:[27, 7], Operations: ['54/2=27', '22-15=7']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Moving to Node #0,13
Current State: 72:[15, 22, 27], Operations: ['54/2=27']
Exploring Operation: 27-15=12, Resulting Numbers: [22, 12]
Generated Node #0,13,4: 72:[22, 12] Operation: 27-15=12
Moving to Node #0,13,4
Current State: 72:[22, 12], Operations: ['54/2=27', '27-15=12']
Exploring Operation: 22+12=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,13,4
Current State: 72:[22, 12], Operations: ['54/2=27', '27-15=12']
Exploring Operation: 22-12=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Moving to Node #0,13
Current State: 72:[15, 22, 27], Operations: ['54/2=27']
Exploring Operation: 27-22=5, Resulting Numbers: [15, 5]
Generated Node #0,13,5: 72:[15, 5] Operation: 27-22=5
Moving to Node #0,13,5
Current State: 72:[15, 5], Operations: ['54/2=27', '27-22=5']
Exploring Operation: 15*5=75, Resulting Numbers: [75]
75,72 unequal: No Solution
Moving to Node #0,13,5
Current State: 72:[15, 5], Operations: ['54/2=27', '27-22=5']
Exploring Operation: 15+5=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Moving to Node #0,13,5
Current State: 72:[15, 5], Operations: ['54/2=27', '27-22=5']
Exploring Operation: 15-5=10, Resulting Numbers: [10]
10,72 unequal: No Solution
Moving to Node #0,13,5
Current State: 72:[15, 5], Operations: ['54/2=27', '27-22=5']
Exploring Operation: 15/5=3, Resulting Numbers: [3]
3,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 22-15=7, Resulting Numbers: [2, 54, 7]
Generated Node #0,14: 72:[2, 54, 7] Operation: 22-15=7
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 2*7=14, Resulting Numbers: [54, 14]
Generated Node #0,14,0: 72:[54, 14] Operation: 2*7=14
Moving to Node #0,14,0
Current State: 72:[54, 14], Operations: ['22-15=7', '2*7=14']
Exploring Operation: 54+14=68, Resulting Numbers: [68]
68,72 unequal: No Solution
Moving to Node #0,14,0
Current State: 72:[54, 14], Operations: ['22-15=7', '2*7=14']
Exploring Operation: 54-14=40, Resulting Numbers: [40]
40,72 unequal: No Solution
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 2+54=56, Resulting Numbers: [7, 56]
Generated Node #0,14,1: 72:[7, 56] Operation: 2+54=56
Moving to Node #0,14,1
Current State: 72:[7, 56], Operations: ['22-15=7', '2+54=56']
Exploring Operation: 7+56=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,14,1
Current State: 72:[7, 56], Operations: ['22-15=7', '2+54=56']
Exploring Operation: 56-7=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,14,1
Current State: 72:[7, 56], Operations: ['22-15=7', '2+54=56']
Exploring Operation: 56/7=8, Resulting Numbers: [8]
8,72 unequal: No Solution
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 2+7=9, Resulting Numbers: [54, 9]
Generated Node #0,14,2: 72:[54, 9] Operation: 2+7=9
Moving to Node #0,14,2
Current State: 72:[54, 9], Operations: ['22-15=7', '2+7=9']
Exploring Operation: 54+9=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,14,2
Current State: 72:[54, 9], Operations: ['22-15=7', '2+7=9']
Exploring Operation: 54-9=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,14,2
Current State: 72:[54, 9], Operations: ['22-15=7', '2+7=9']
Exploring Operation: 54/9=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 54+7=61, Resulting Numbers: [2, 61]
Generated Node #0,14,3: 72:[2, 61] Operation: 54+7=61
Moving to Node #0,14,3
Current State: 72:[2, 61], Operations: ['22-15=7', '54+7=61']
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,14,3
Current State: 72:[2, 61], Operations: ['22-15=7', '54+7=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,14,3
Current State: 72:[2, 61], Operations: ['22-15=7', '54+7=61']
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,72 unequal: No Solution
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 54-2=52, Resulting Numbers: [7, 52]
Generated Node #0,14,4: 72:[7, 52] Operation: 54-2=52
Moving to Node #0,14,4
Current State: 72:[7, 52], Operations: ['22-15=7', '54-2=52']
Exploring Operation: 7+52=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,14,4
Current State: 72:[7, 52], Operations: ['22-15=7', '54-2=52']
Exploring Operation: 52-7=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 7-2=5, Resulting Numbers: [54, 5]
Generated Node #0,14,5: 72:[54, 5] Operation: 7-2=5
Moving to Node #0,14,5
Current State: 72:[54, 5], Operations: ['22-15=7', '7-2=5']
Exploring Operation: 54+5=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,14,5
Current State: 72:[54, 5], Operations: ['22-15=7', '7-2=5']
Exploring Operation: 54-5=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 54-7=47, Resulting Numbers: [2, 47]
Generated Node #0,14,6: 72:[2, 47] Operation: 54-7=47
Moving to Node #0,14,6
Current State: 72:[2, 47], Operations: ['22-15=7', '54-7=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,72 unequal: No Solution
Moving to Node #0,14,6
Current State: 72:[2, 47], Operations: ['22-15=7', '54-7=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,14,6
Current State: 72:[2, 47], Operations: ['22-15=7', '54-7=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 2*54=108, Resulting Numbers: [7, 108]
Generated Node #0,14,7: 72:[7, 108] Operation: 2*54=108
Moving to Node #0,14,7
Current State: 72:[7, 108], Operations: ['22-15=7', '2*54=108']
Exploring Operation: 108-7=101, Resulting Numbers: [101]
101,72 unequal: No Solution
Moving to Node #0,14,7
Current State: 72:[7, 108], Operations: ['22-15=7', '2*54=108']
Exploring Operation: 7+108=115, Resulting Numbers: [115]
115,72 unequal: No Solution
Moving to Node #0,14
Current State: 72:[2, 54, 7], Operations: ['22-15=7']
Exploring Operation: 54/2=27, Resulting Numbers: [7, 27]
Generated Node #0,14,8: 72:[7, 27] Operation: 54/2=27
Moving to Node #0,14,8
Current State: 72:[7, 27], Operations: ['22-15=7', '54/2=27']
Exploring Operation: 7+27=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,14,8
Current State: 72:[7, 27], Operations: ['22-15=7', '54/2=27']
Exploring Operation: 27-7=20, Resulting Numbers: [20]
20,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 54-15=39, Resulting Numbers: [2, 22, 39]
Generated Node #0,15: 72:[2, 22, 39] Operation: 54-15=39
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 2*39=78, Resulting Numbers: [22, 78]
Generated Node #0,15,0: 72:[22, 78] Operation: 2*39=78
Moving to Node #0,15,0
Current State: 72:[22, 78], Operations: ['54-15=39', '2*39=78']
Exploring Operation: 78-22=56, Resulting Numbers: [56]
56,72 unequal: No Solution
Moving to Node #0,15,0
Current State: 72:[22, 78], Operations: ['54-15=39', '2*39=78']
Exploring Operation: 22+78=100, Resulting Numbers: [100]
100,72 unequal: No Solution
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 2*22=44, Resulting Numbers: [39, 44]
Generated Node #0,15,1: 72:[39, 44] Operation: 2*22=44
Moving to Node #0,15,1
Current State: 72:[39, 44], Operations: ['54-15=39', '2*22=44']
Exploring Operation: 39+44=83, Resulting Numbers: [83]
83,72 unequal: No Solution
Moving to Node #0,15,1
Current State: 72:[39, 44], Operations: ['54-15=39', '2*22=44']
Exploring Operation: 44-39=5, Resulting Numbers: [5]
5,72 unequal: No Solution
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 2+22=24, Resulting Numbers: [39, 24]
Generated Node #0,15,2: 72:[39, 24] Operation: 2+22=24
Moving to Node #0,15,2
Current State: 72:[39, 24], Operations: ['54-15=39', '2+22=24']
Exploring Operation: 39+24=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,15,2
Current State: 72:[39, 24], Operations: ['54-15=39', '2+22=24']
Exploring Operation: 39-24=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 2+39=41, Resulting Numbers: [22, 41]
Generated Node #0,15,3: 72:[22, 41] Operation: 2+39=41
Moving to Node #0,15,3
Current State: 72:[22, 41], Operations: ['54-15=39', '2+39=41']
Exploring Operation: 22+41=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,15,3
Current State: 72:[22, 41], Operations: ['54-15=39', '2+39=41']
Exploring Operation: 41-22=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 22+39=61, Resulting Numbers: [2, 61]
Generated Node #0,15,4: 72:[2, 61] Operation: 22+39=61
Moving to Node #0,15,4
Current State: 72:[2, 61], Operations: ['54-15=39', '22+39=61']
Exploring Operation: 2+61=63, Resulting Numbers: [63]
63,72 unequal: No Solution
Moving to Node #0,15,4
Current State: 72:[2, 61], Operations: ['54-15=39', '22+39=61']
Exploring Operation: 61-2=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,15,4
Current State: 72:[2, 61], Operations: ['54-15=39', '22+39=61']
Exploring Operation: 2*61=122, Resulting Numbers: [122]
122,72 unequal: No Solution
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 22-2=20, Resulting Numbers: [39, 20]
Generated Node #0,15,5: 72:[39, 20] Operation: 22-2=20
Moving to Node #0,15,5
Current State: 72:[39, 20], Operations: ['54-15=39', '22-2=20']
Exploring Operation: 39+20=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,15,5
Current State: 72:[39, 20], Operations: ['54-15=39', '22-2=20']
Exploring Operation: 39-20=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 39-2=37, Resulting Numbers: [22, 37]
Generated Node #0,15,6: 72:[22, 37] Operation: 39-2=37
Moving to Node #0,15,6
Current State: 72:[22, 37], Operations: ['54-15=39', '39-2=37']
Exploring Operation: 22+37=59, Resulting Numbers: [59]
59,72 unequal: No Solution
Moving to Node #0,15,6
Current State: 72:[22, 37], Operations: ['54-15=39', '39-2=37']
Exploring Operation: 37-22=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 22/2=11, Resulting Numbers: [39, 11]
Generated Node #0,15,7: 72:[39, 11] Operation: 22/2=11
Moving to Node #0,15,7
Current State: 72:[39, 11], Operations: ['54-15=39', '22/2=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,72 unequal: No Solution
Moving to Node #0,15,7
Current State: 72:[39, 11], Operations: ['54-15=39', '22/2=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,72 unequal: No Solution
Moving to Node #0,15
Current State: 72:[2, 22, 39], Operations: ['54-15=39']
Exploring Operation: 39-22=17, Resulting Numbers: [2, 17]
Generated Node #0,15,8: 72:[2, 17] Operation: 39-22=17
Moving to Node #0,15,8
Current State: 72:[2, 17], Operations: ['54-15=39', '39-22=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,15,8
Current State: 72:[2, 17], Operations: ['54-15=39', '39-22=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,15,8
Current State: 72:[2, 17], Operations: ['54-15=39', '39-22=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0
Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 54-22=32, Resulting Numbers: [2, 15, 32]
Generated Node #0,16: 72:[2, 15, 32] Operation: 54-22=32
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 2*32=64, Resulting Numbers: [15, 64]
Generated Node #0,16,0: 72:[15, 64] Operation: 2*32=64
Moving to Node #0,16,0
Current State: 72:[15, 64], Operations: ['54-22=32', '2*32=64']
Exploring Operation: 15+64=79, Resulting Numbers: [79]
79,72 unequal: No Solution
Moving to Node #0,16,0
Current State: 72:[15, 64], Operations: ['54-22=32', '2*32=64']
Exploring Operation: 64-15=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 2*15=30, Resulting Numbers: [32, 30]
Generated Node #0,16,1: 72:[32, 30] Operation: 2*15=30
Moving to Node #0,16,1
Current State: 72:[32, 30], Operations: ['54-22=32', '2*15=30']
Exploring Operation: 32+30=62, Resulting Numbers: [62]
62,72 unequal: No Solution
Moving to Node #0,16,1
Current State: 72:[32, 30], Operations: ['54-22=32', '2*15=30']
Exploring Operation: 32-30=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 2+15=17, Resulting Numbers: [32, 17]
Generated Node #0,16,2: 72:[32, 17] Operation: 2+15=17
Moving to Node #0,16,2
Current State: 72:[32, 17], Operations: ['54-22=32', '2+15=17']
Exploring Operation: 32+17=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,16,2
Current State: 72:[32, 17], Operations: ['54-22=32', '2+15=17']
Exploring Operation: 32-17=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 2+32=34, Resulting Numbers: [15, 34]
Generated Node #0,16,3: 72:[15, 34] Operation: 2+32=34
Moving to Node #0,16,3
Current State: 72:[15, 34], Operations: ['54-22=32', '2+32=34']
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,16,3
Current State: 72:[15, 34], Operations: ['54-22=32', '2+32=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 15+32=47, Resulting Numbers: [2, 47]
Generated Node #0,16,4: 72:[2, 47] Operation: 15+32=47
Moving to Node #0,16,4
Current State: 72:[2, 47], Operations: ['54-22=32', '15+32=47']
Exploring Operation: 2*47=94, Resulting Numbers: [94]
94,72 unequal: No Solution
Moving to Node #0,16,4
Current State: 72:[2, 47], Operations: ['54-22=32', '15+32=47']
Exploring Operation: 2+47=49, Resulting Numbers: [49]
49,72 unequal: No Solution
Moving to Node #0,16,4
Current State: 72:[2, 47], Operations: ['54-22=32', '15+32=47']
Exploring Operation: 47-2=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 15-2=13, Resulting Numbers: [32, 13]
Generated Node #0,16,5: 72:[32, 13] Operation: 15-2=13
Moving to Node #0,16,5
Current State: 72:[32, 13], Operations: ['54-22=32', '15-2=13']
Exploring Operation: 32+13=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,16,5
Current State: 72:[32, 13], Operations: ['54-22=32', '15-2=13']
Exploring Operation: 32-13=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 32-2=30, Resulting Numbers: [15, 30]
Generated Node #0,16,6: 72:[15, 30] Operation: 32-2=30
Moving to Node #0,16,6
Current State: 72:[15, 30], Operations: ['54-22=32', '32-2=30']
Exploring Operation: 15+30=45, Resulting Numbers: [45]
45,72 unequal: No Solution
Moving to Node #0,16,6
Current State: 72:[15, 30], Operations: ['54-22=32', '32-2=30']
Exploring Operation: 30-15=15, Resulting Numbers: [15]
15,72 unequal: No Solution
Moving to Node #0,16,6
Current State: 72:[15, 30], Operations: ['54-22=32', '32-2=30']
Exploring Operation: 30/15=2, Resulting Numbers: [2]
2,72 unequal: No Solution
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 32/2=16, Resulting Numbers: [15, 16]
Generated Node #0,16,7: 72:[15, 16] Operation: 32/2=16
Moving to Node #0,16,7
Current State: 72:[15, 16], Operations: ['54-22=32', '32/2=16']
Exploring Operation: 15+16=31, Resulting Numbers: [31]
31,72 unequal: No Solution
Moving to Node #0,16,7
Current State: 72:[15, 16], Operations: ['54-22=32', '32/2=16']
Exploring Operation: 16-15=1, Resulting Numbers: [1]
1,72 unequal: No Solution
Moving to Node #0,16
Current State: 72:[2, 15, 32], Operations: ['54-22=32']
Exploring Operation: 32-15=17, Resulting Numbers: [2, 17]
Generated Node #0,16,8: 72:[2, 17] Operation: 32-15=17
Moving to Node #0,16,8
Current State: 72:[2, 17], Operations: ['54-22=32', '32-15=17']
Exploring Operation: 2*17=34, Resulting Numbers: [34]
34,72 unequal: No Solution
Moving to Node #0,16,8
Current State: 72:[2, 17], Operations: ['54-22=32', '32-15=17']
Exploring Operation: 2+17=19, Resulting Numbers: [19]
19,72 unequal: No Solution
Moving to Node #0,16,8
Current State: 72:[2, 17], Operations: ['54-22=32', '32-15=17']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,72 unequal: No Solution
| 0 | dfs | Current State: 72:[2, 15, 22, 54], Operations: []
Exploring Operation: 22-2=20, Resulting Numbers: [15, 54, 20]
Generated Node #2: [15, 54, 20] from Operation: 22-2=20
Current State: 72:[15, 54, 20], Operations: ['22-2=20']
Exploring Operation: 54*20=1080, Resulting Numbers: [15, 1080]
Generated Node #3: [15, 1080] from Operation: 54*20=1080
Current State: 72:[15, 1080], Operations: ['22-2=20', '54*20=1080']
Exploring Operation: 1080/15=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| sum_heuristic |
[
85,
96,
95,
60
] | 90 | [
"95-85=10",
"60/10=6",
"96-6=90"
] | Current State: 90:[85, 96, 95, 60], Operations: []
Exploring Operation: 96-60=36, Resulting Numbers: [85, 95, 36]
Generated Node #0,0: 90:[85, 95, 36] Operation: 96-60=36
Exploring Operation: 85+60=145, Resulting Numbers: [96, 95, 145]
Generated Node #0,1: 90:[96, 95, 145] Operation: 85+60=145
Exploring Operation: 85-60=25, Resulting Numbers: [96, 95, 25]
Generated Node #0,2: 90:[96, 95, 25] Operation: 85-60=25
Exploring Operation: 95-60=35, Resulting Numbers: [85, 96, 35]
Generated Node #0,3: 90:[85, 96, 35] Operation: 95-60=35
Moving to Node #0,0
Current State: 90:[85, 95, 36], Operations: ['96-60=36']
Exploring Operation: 85-36=49, Resulting Numbers: [95, 49]
Generated Node #0,0,0: 90:[95, 49] Operation: 85-36=49
Exploring Operation: 85+36=121, Resulting Numbers: [95, 121]
Generated Node #0,0,1: 90:[95, 121] Operation: 85+36=121
Exploring Operation: 95-36=59, Resulting Numbers: [85, 59]
Generated Node #0,0,2: 90:[85, 59] Operation: 95-36=59
Exploring Operation: 95+36=131, Resulting Numbers: [85, 131]
Generated Node #0,0,3: 90:[85, 131] Operation: 95+36=131
Moving to Node #0,3
Current State: 90:[85, 96, 35], Operations: ['95-60=35']
Exploring Operation: 85-35=50, Resulting Numbers: [96, 50]
Generated Node #0,3,0: 90:[96, 50] Operation: 85-35=50
Exploring Operation: 96+35=131, Resulting Numbers: [85, 131]
Generated Node #0,3,1: 90:[85, 131] Operation: 96+35=131
Exploring Operation: 96-35=61, Resulting Numbers: [85, 61]
Generated Node #0,3,2: 90:[85, 61] Operation: 96-35=61
Exploring Operation: 85+35=120, Resulting Numbers: [96, 120]
Generated Node #0,3,3: 90:[96, 120] Operation: 85+35=120
Moving to Node #0,1
Current State: 90:[96, 95, 145], Operations: ['85+60=145']
Exploring Operation: 145-95=50, Resulting Numbers: [96, 50]
Generated Node #0,1,0: 90:[96, 50] Operation: 145-95=50
Exploring Operation: 96+95=191, Resulting Numbers: [145, 191]
Generated Node #0,1,1: 90:[145, 191] Operation: 96+95=191
Exploring Operation: 96-95=1, Resulting Numbers: [145, 1]
Generated Node #0,1,2: 90:[145, 1] Operation: 96-95=1
Exploring Operation: 145-96=49, Resulting Numbers: [95, 49]
Generated Node #0,1,3: 90:[95, 49] Operation: 145-96=49
Moving to Node #0,2
Current State: 90:[96, 95, 25], Operations: ['85-60=25']
Exploring Operation: 95+25=120, Resulting Numbers: [96, 120]
Generated Node #0,2,0: 90:[96, 120] Operation: 95+25=120
Exploring Operation: 96+25=121, Resulting Numbers: [95, 121]
Generated Node #0,2,1: 90:[95, 121] Operation: 96+25=121
Exploring Operation: 95-25=70, Resulting Numbers: [96, 70]
Generated Node #0,2,2: 90:[96, 70] Operation: 95-25=70
Exploring Operation: 96-25=71, Resulting Numbers: [95, 71]
Generated Node #0,2,3: 90:[95, 71] Operation: 96-25=71
Moving to Node #0,2,3
Current State: 90:[95, 71], Operations: ['85-60=25', '96-25=71']
Exploring Operation: 95*71=6745, Resulting Numbers: [6745]
6745,90 unequal: No Solution
Exploring Operation: 95+71=166, Resulting Numbers: [166]
166,90 unequal: No Solution
Exploring Operation: 95-71=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[96, 70], Operations: ['85-60=25', '95-25=70']
Exploring Operation: 96-70=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 96*70=6720, Resulting Numbers: [6720]
6720,90 unequal: No Solution
Exploring Operation: 96+70=166, Resulting Numbers: [166]
166,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[85, 61], Operations: ['95-60=35', '96-35=61']
Exploring Operation: 85+61=146, Resulting Numbers: [146]
146,90 unequal: No Solution
Exploring Operation: 85*61=5185, Resulting Numbers: [5185]
5185,90 unequal: No Solution
Exploring Operation: 85-61=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[96, 120], Operations: ['85-60=25', '95+25=120']
Exploring Operation: 96+120=216, Resulting Numbers: [216]
216,90 unequal: No Solution
Exploring Operation: 120-96=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 96*120=11520, Resulting Numbers: [11520]
11520,90 unequal: No Solution
Moving to Node #0,3,3
Current State: 90:[96, 120], Operations: ['95-60=35', '85+35=120']
Exploring Operation: 120-96=24, Resulting Numbers: [24]
24,90 unequal: No Solution
Exploring Operation: 96+120=216, Resulting Numbers: [216]
216,90 unequal: No Solution
Exploring Operation: 96*120=11520, Resulting Numbers: [11520]
11520,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[95, 121], Operations: ['96-60=36', '85+36=121']
Exploring Operation: 121-95=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 95*121=11495, Resulting Numbers: [11495]
11495,90 unequal: No Solution
Exploring Operation: 95+121=216, Resulting Numbers: [216]
216,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[85, 59], Operations: ['96-60=36', '95-36=59']
Exploring Operation: 85*59=5015, Resulting Numbers: [5015]
5015,90 unequal: No Solution
Exploring Operation: 85-59=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 85+59=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Moving to Node #0,2,1
Current State: 90:[95, 121], Operations: ['85-60=25', '96+25=121']
Exploring Operation: 95*121=11495, Resulting Numbers: [11495]
11495,90 unequal: No Solution
Exploring Operation: 121-95=26, Resulting Numbers: [26]
26,90 unequal: No Solution
Exploring Operation: 95+121=216, Resulting Numbers: [216]
216,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[96, 50], Operations: ['95-60=35', '85-35=50']
Exploring Operation: 96*50=4800, Resulting Numbers: [4800]
4800,90 unequal: No Solution
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 96+50=146, Resulting Numbers: [146]
146,90 unequal: No Solution
Moving to Node #0,3,1
Current State: 90:[85, 131], Operations: ['95-60=35', '96+35=131']
Exploring Operation: 85+131=216, Resulting Numbers: [216]
216,90 unequal: No Solution
Exploring Operation: 85*131=11135, Resulting Numbers: [11135]
11135,90 unequal: No Solution
Exploring Operation: 131-85=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[95, 49], Operations: ['96-60=36', '85-36=49']
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 95*49=4655, Resulting Numbers: [4655]
4655,90 unequal: No Solution
Exploring Operation: 95+49=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Moving to Node #0,1,3
Current State: 90:[95, 49], Operations: ['85+60=145', '145-96=49']
Exploring Operation: 95+49=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Exploring Operation: 95-49=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 95*49=4655, Resulting Numbers: [4655]
4655,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[96, 50], Operations: ['85+60=145', '145-95=50']
Exploring Operation: 96*50=4800, Resulting Numbers: [4800]
4800,90 unequal: No Solution
Exploring Operation: 96-50=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 96+50=146, Resulting Numbers: [146]
146,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[85, 131], Operations: ['96-60=36', '95+36=131']
Exploring Operation: 131-85=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 85*131=11135, Resulting Numbers: [11135]
11135,90 unequal: No Solution
Exploring Operation: 85+131=216, Resulting Numbers: [216]
216,90 unequal: No Solution
Moving to Node #0,3,0,0
Current State: 90:[46], Operations: ['95-60=35', '85-35=50', '96-50=46']
Moving to Node #0,3,1,0
Current State: 90:[46], Operations: ['95-60=35', '96+35=131', '131-85=46']
Moving to Node #0,1,3,0
Current State: 90:[46], Operations: ['85+60=145', '145-96=49', '95-49=46']
Moving to Node #0,0,0,0
Current State: 90:[46], Operations: ['96-60=36', '85-36=49', '95-49=46']
Moving to Node #0,0,3,0
Current State: 90:[46], Operations: ['96-60=36', '95+36=131', '131-85=46']
Moving to Node #0,1,0,0
Current State: 90:[46], Operations: ['85+60=145', '145-95=50', '96-50=46']
Moving to Node #0,0,2,0
Current State: 90:[144], Operations: ['96-60=36', '95-36=59', '85+59=144']
Moving to Node #0,0,0,0
Current State: 90:[144], Operations: ['96-60=36', '85-36=49', '95+49=144']
Moving to Node #0,1,3,0
Current State: 90:[144], Operations: ['85+60=145', '145-96=49', '95+49=144']
Moving to Node #0,3,0,0
Current State: 90:[146], Operations: ['95-60=35', '85-35=50', '96+50=146']
Moving to Node #0,1,0,0
Current State: 90:[146], Operations: ['85+60=145', '145-95=50', '96+50=146']
Moving to Node #0,3,2,0
Current State: 90:[146], Operations: ['95-60=35', '96-35=61', '85+61=146']
Moving to Node #0,2,1,0
Current State: 90:[26], Operations: ['85-60=25', '96+25=121', '121-95=26']
Moving to Node #0,0,2,0
Current State: 90:[26], Operations: ['96-60=36', '95-36=59', '85-59=26']
Moving to Node #0,0,1,0
Current State: 90:[26], Operations: ['96-60=36', '85+36=121', '121-95=26']
Moving to Node #0,2,2,0
Current State: 90:[26], Operations: ['85-60=25', '95-25=70', '96-70=26']
Moving to Node #0,2,3,0
Current State: 90:[24], Operations: ['85-60=25', '96-25=71', '95-71=24']
Moving to Node #0,2,0,0
Current State: 90:[24], Operations: ['85-60=25', '95+25=120', '120-96=24']
Moving to Node #0,3,3,0
Current State: 90:[24], Operations: ['95-60=35', '85+35=120', '120-96=24']
Moving to Node #0,3,2,0
Current State: 90:[24], Operations: ['95-60=35', '96-35=61', '85-61=24']
Moving to Node #0,1,2
Current State: 90:[145, 1], Operations: ['85+60=145', '96-95=1']
Exploring Operation: 145-1=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Exploring Operation: 145/1=145, Resulting Numbers: [145]
145,90 unequal: No Solution
Exploring Operation: 145*1=145, Resulting Numbers: [145]
145,90 unequal: No Solution
Exploring Operation: 145+1=146, Resulting Numbers: [146]
146,90 unequal: No Solution
Moving to Node #0,2,3,0
Current State: 90:[166], Operations: ['85-60=25', '96-25=71', '95+71=166']
Moving to Node #0,1,2,0
Current State: 90:[144], Operations: ['85+60=145', '96-95=1', '145-1=144']
Moving to Node #0,1,2,0
Current State: 90:[145], Operations: ['85+60=145', '96-95=1', '145/1=145']
Moving to Node #0,1,2,0
Current State: 90:[145], Operations: ['85+60=145', '96-95=1', '145*1=145']
Moving to Node #0,1,2,0
Current State: 90:[146], Operations: ['85+60=145', '96-95=1', '145+1=146']
Moving to Node #0,2,2,0
Current State: 90:[166], Operations: ['85-60=25', '95-25=70', '96+70=166']
Moving to Node #0,1,1
Current State: 90:[145, 191], Operations: ['85+60=145', '96+95=191']
Exploring Operation: 191-145=46, Resulting Numbers: [46]
46,90 unequal: No Solution
Exploring Operation: 145*191=27695, Resulting Numbers: [27695]
27695,90 unequal: No Solution
Exploring Operation: 145+191=336, Resulting Numbers: [336]
336,90 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 90:[216], Operations: ['85-60=25', '96+25=121', '95+121=216']
Moving to Node #0,0,1,0
Current State: 90:[216], Operations: ['96-60=36', '85+36=121', '95+121=216']
Moving to Node #0,1,1,0
Current State: 90:[46], Operations: ['85+60=145', '96+95=191', '191-145=46']
Moving to Node #0,3,3,0
Current State: 90:[216], Operations: ['95-60=35', '85+35=120', '96+120=216']
Moving to Node #0,2,0,0
Current State: 90:[216], Operations: ['85-60=25', '95+25=120', '96+120=216']
Moving to Node #0,0,3,0
Current State: 90:[216], Operations: ['96-60=36', '95+36=131', '85+131=216']
Moving to Node #0,3,1,0
Current State: 90:[216], Operations: ['95-60=35', '96+35=131', '85+131=216']
Moving to Node #0,1,1,0
Current State: 90:[336], Operations: ['85+60=145', '96+95=191', '145+191=336']
Moving to Node #0,0,0,0
Current State: 90:[4655], Operations: ['96-60=36', '85-36=49', '95*49=4655']
Moving to Node #0,1,3,0
Current State: 90:[4655], Operations: ['85+60=145', '145-96=49', '95*49=4655']
Moving to Node #0,3,0,0
Current State: 90:[4800], Operations: ['95-60=35', '85-35=50', '96*50=4800']
Moving to Node #0,1,0,0
Current State: 90:[4800], Operations: ['85+60=145', '145-95=50', '96*50=4800']
Moving to Node #0,0,2,0
Current State: 90:[5015], Operations: ['96-60=36', '95-36=59', '85*59=5015']
Moving to Node #0,3,2,0
Current State: 90:[5185], Operations: ['95-60=35', '96-35=61', '85*61=5185']
Moving to Node #0,2,2,0
Current State: 90:[6720], Operations: ['85-60=25', '95-25=70', '96*70=6720']
Moving to Node #0,2,3,0
Current State: 90:[6745], Operations: ['85-60=25', '96-25=71', '95*71=6745']
Moving to Node #0,0,3,0
Current State: 90:[11135], Operations: ['96-60=36', '95+36=131', '85*131=11135']
Moving to Node #0,3,1,0
Current State: 90:[11135], Operations: ['95-60=35', '96+35=131', '85*131=11135']
Moving to Node #0,0,1,0
Current State: 90:[11495], Operations: ['96-60=36', '85+36=121', '95*121=11495']
Moving to Node #0,2,1,0
Current State: 90:[11495], Operations: ['85-60=25', '96+25=121', '95*121=11495']
Moving to Node #0,3,3,0
Current State: 90:[11520], Operations: ['95-60=35', '85+35=120', '96*120=11520']
Moving to Node #0,2,0,0
Current State: 90:[11520], Operations: ['85-60=25', '95+25=120', '96*120=11520']
Moving to Node #0,1,1,0
Current State: 90:[27695], Operations: ['85+60=145', '96+95=191', '145*191=27695']
No solution found. | 0 | bfs_4 | Current State: 90:[85, 96, 95, 60], Operations: []
Exploring Operation: 95-85=10, Resulting Numbers: [96, 60, 10]
Generated Node #2: [96, 60, 10] from Operation: 95-85=10
Current State: 90:[96, 60, 10], Operations: ['95-85=10']
Exploring Operation: 60/10=6, Resulting Numbers: [96, 6]
Generated Node #3: [96, 6] from Operation: 60/10=6
Current State: 90:[96, 6], Operations: ['95-85=10', '60/10=6']
Exploring Operation: 96-6=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| sum_heuristic |
[
76,
52,
41,
31
] | 79 | [
"52+41=93",
"93/31=3",
"76+3=79"
] | Current State: 79:[76, 52, 41, 31], Operations: []
Exploring Operation: 41+31=72, Resulting Numbers: [76, 52, 72]
Generated Node #0,0: 79:[76, 52, 72] Operation: 41+31=72
Moving to Node #0,0
Current State: 79:[76, 52, 72], Operations: ['41+31=72']
Exploring Operation: 52+72=124, Resulting Numbers: [76, 124]
Generated Node #0,0,0: 79:[76, 124] Operation: 52+72=124
Moving to Node #0,0,0
Current State: 79:[76, 124], Operations: ['41+31=72', '52+72=124']
Exploring Operation: 124-76=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[76, 52, 72], Operations: ['41+31=72']
Exploring Operation: 76+52=128, Resulting Numbers: [72, 128]
Generated Node #0,0,1: 79:[72, 128] Operation: 76+52=128
Moving to Node #0,0,1
Current State: 79:[72, 128], Operations: ['41+31=72', '76+52=128']
Exploring Operation: 128-72=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[76, 52, 72], Operations: ['41+31=72']
Exploring Operation: 76-52=24, Resulting Numbers: [72, 24]
Generated Node #0,0,2: 79:[72, 24] Operation: 76-52=24
Moving to Node #0,0,2
Current State: 79:[72, 24], Operations: ['41+31=72', '76-52=24']
Exploring Operation: 72+24=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[72, 24], Operations: ['41+31=72', '76-52=24']
Exploring Operation: 72-24=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[72, 24], Operations: ['41+31=72', '76-52=24']
Exploring Operation: 72/24=3, Resulting Numbers: [3]
3,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[76, 52, 72], Operations: ['41+31=72']
Exploring Operation: 72-52=20, Resulting Numbers: [76, 20]
Generated Node #0,0,3: 79:[76, 20] Operation: 72-52=20
Moving to Node #0,0,3
Current State: 79:[76, 20], Operations: ['41+31=72', '72-52=20']
Exploring Operation: 76+20=96, Resulting Numbers: [96]
96,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[76, 20], Operations: ['41+31=72', '72-52=20']
Exploring Operation: 76-20=56, Resulting Numbers: [56]
56,79 unequal: No Solution
Moving to Node #0
Current State: 79:[76, 52, 41, 31], Operations: []
Exploring Operation: 52+31=83, Resulting Numbers: [76, 41, 83]
Generated Node #0,1: 79:[76, 41, 83] Operation: 52+31=83
Moving to Node #0,1
Current State: 79:[76, 41, 83], Operations: ['52+31=83']
Exploring Operation: 83-41=42, Resulting Numbers: [76, 42]
Generated Node #0,1,0: 79:[76, 42] Operation: 83-41=42
Moving to Node #0,1,0
Current State: 79:[76, 42], Operations: ['52+31=83', '83-41=42']
Exploring Operation: 76+42=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[76, 42], Operations: ['52+31=83', '83-41=42']
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Moving to Node #0,1
Current State: 79:[76, 41, 83], Operations: ['52+31=83']
Exploring Operation: 76+41=117, Resulting Numbers: [83, 117]
Generated Node #0,1,1: 79:[83, 117] Operation: 76+41=117
Moving to Node #0,1,1
Current State: 79:[83, 117], Operations: ['52+31=83', '76+41=117']
Exploring Operation: 117-83=34, Resulting Numbers: [34]
34,79 unequal: No Solution
Moving to Node #0,1
Current State: 79:[76, 41, 83], Operations: ['52+31=83']
Exploring Operation: 76-41=35, Resulting Numbers: [83, 35]
Generated Node #0,1,2: 79:[83, 35] Operation: 76-41=35
Moving to Node #0,1,2
Current State: 79:[83, 35], Operations: ['52+31=83', '76-41=35']
Exploring Operation: 83-35=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Moving to Node #0,1,2
Current State: 79:[83, 35], Operations: ['52+31=83', '76-41=35']
Exploring Operation: 83+35=118, Resulting Numbers: [118]
118,79 unequal: No Solution
Moving to Node #0,1
Current State: 79:[76, 41, 83], Operations: ['52+31=83']
Exploring Operation: 41+83=124, Resulting Numbers: [76, 124]
Generated Node #0,1,3: 79:[76, 124] Operation: 41+83=124
Moving to Node #0,1,3
Current State: 79:[76, 124], Operations: ['52+31=83', '41+83=124']
Exploring Operation: 124-76=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Moving to Node #0
Current State: 79:[76, 52, 41, 31], Operations: []
Exploring Operation: 52+41=93, Resulting Numbers: [76, 31, 93]
Generated Node #0,2: 79:[76, 31, 93] Operation: 52+41=93
Moving to Node #0,2
Current State: 79:[76, 31, 93], Operations: ['52+41=93']
Exploring Operation: 93-31=62, Resulting Numbers: [76, 62]
Generated Node #0,2,0: 79:[76, 62] Operation: 93-31=62
Moving to Node #0,2,0
Current State: 79:[76, 62], Operations: ['52+41=93', '93-31=62']
Exploring Operation: 76+62=138, Resulting Numbers: [138]
138,79 unequal: No Solution
Moving to Node #0,2,0
Current State: 79:[76, 62], Operations: ['52+41=93', '93-31=62']
Exploring Operation: 76-62=14, Resulting Numbers: [14]
14,79 unequal: No Solution
Moving to Node #0,2
Current State: 79:[76, 31, 93], Operations: ['52+41=93']
Exploring Operation: 76+31=107, Resulting Numbers: [93, 107]
Generated Node #0,2,1: 79:[93, 107] Operation: 76+31=107
Moving to Node #0,2,1
Current State: 79:[93, 107], Operations: ['52+41=93', '76+31=107']
Exploring Operation: 107-93=14, Resulting Numbers: [14]
14,79 unequal: No Solution
Moving to Node #0,2
Current State: 79:[76, 31, 93], Operations: ['52+41=93']
Exploring Operation: 76-31=45, Resulting Numbers: [93, 45]
Generated Node #0,2,2: 79:[93, 45] Operation: 76-31=45
Moving to Node #0,2,2
Current State: 79:[93, 45], Operations: ['52+41=93', '76-31=45']
Exploring Operation: 93-45=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Moving to Node #0,2,2
Current State: 79:[93, 45], Operations: ['52+41=93', '76-31=45']
Exploring Operation: 93+45=138, Resulting Numbers: [138]
138,79 unequal: No Solution
Moving to Node #0,2
Current State: 79:[76, 31, 93], Operations: ['52+41=93']
Exploring Operation: 31+93=124, Resulting Numbers: [76, 124]
Generated Node #0,2,3: 79:[76, 124] Operation: 31+93=124
Moving to Node #0,2,3
Current State: 79:[76, 124], Operations: ['52+41=93', '31+93=124']
Exploring Operation: 124-76=48, Resulting Numbers: [48]
48,79 unequal: No Solution
Moving to Node #0,2
Current State: 79:[76, 31, 93], Operations: ['52+41=93']
Exploring Operation: 93/31=3, Resulting Numbers: [76, 3]
Generated Node #0,2,4: 79:[76, 3] Operation: 93/31=3
Moving to Node #0,2,4
Current State: 79:[76, 3], Operations: ['52+41=93', '93/31=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 0.967882 | dfs | Current State: 79:[76, 52, 41, 31], Operations: []
Exploring Operation: 52+41=93, Resulting Numbers: [76, 31, 93]
Generated Node #2: [76, 31, 93] from Operation: 52+41=93
Current State: 79:[76, 31, 93], Operations: ['52+41=93']
Exploring Operation: 93/31=3, Resulting Numbers: [76, 3]
Generated Node #3: [76, 3] from Operation: 93/31=3
Current State: 79:[76, 3], Operations: ['52+41=93', '93/31=3']
Exploring Operation: 76+3=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| mult_heuristic |
[
26,
44,
72,
27
] | 27 | [
"44-26=18",
"72-27=45",
"45-18=27"
] | Current State: 27:[26, 44, 72, 27], Operations: []
Exploring Operation: 72-44=28, Resulting Numbers: [26, 27, 28]
Generated Node #0,0: 27:[26, 27, 28] Operation: 72-44=28
Moving to Node #0,0
Current State: 27:[26, 27, 28], Operations: ['72-44=28']
Exploring Operation: 28-26=2, Resulting Numbers: [27, 2]
Generated Node #0,0,0: 27:[27, 2] Operation: 28-26=2
Moving to Node #0,0,0
Current State: 27:[27, 2], Operations: ['72-44=28', '28-26=2']
Exploring Operation: 27+2=29, Resulting Numbers: [29]
29,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[27, 2], Operations: ['72-44=28', '28-26=2']
Exploring Operation: 27-2=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Moving to Node #0,0,0
Current State: 27:[27, 2], Operations: ['72-44=28', '28-26=2']
Exploring Operation: 27*2=54, Resulting Numbers: [54]
54,27 unequal: No Solution
Moving to Node #0,0
Current State: 27:[26, 27, 28], Operations: ['72-44=28']
Exploring Operation: 26+27=53, Resulting Numbers: [28, 53]
Generated Node #0,0,1: 27:[28, 53] Operation: 26+27=53
Moving to Node #0,0,1
Current State: 27:[28, 53], Operations: ['72-44=28', '26+27=53']
Exploring Operation: 53-28=25, Resulting Numbers: [25]
25,27 unequal: No Solution
Moving to Node #0,0
Current State: 27:[26, 27, 28], Operations: ['72-44=28']
Exploring Operation: 27-26=1, Resulting Numbers: [28, 1]
Generated Node #0,0,2: 27:[28, 1] Operation: 27-26=1
Moving to Node #0,0,2
Current State: 27:[28, 1], Operations: ['72-44=28', '27-26=1']
Exploring Operation: 28-1=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 0.991319 | dfs | Current State: 27:[26, 44, 72, 27], Operations: []
Exploring Operation: 44-26=18, Resulting Numbers: [72, 27, 18]
Generated Node #2: [72, 27, 18] from Operation: 44-26=18
Current State: 27:[72, 27, 18], Operations: ['44-26=18']
Exploring Operation: 72-27=45, Resulting Numbers: [18, 45]
Generated Node #3: [18, 45] from Operation: 72-27=45
Current State: 27:[18, 45], Operations: ['44-26=18', '72-27=45']
Exploring Operation: 45-18=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| sum_heuristic |
[
81,
68,
51,
18
] | 80 | [
"81+68=149",
"51+18=69",
"149-69=80"
] | Current State: 80:[81, 68, 51, 18], Operations: []
Exploring Operation: 68+18=86, Resulting Numbers: [81, 51, 86]
Generated Node #0,0: 80:[81, 51, 86] Operation: 68+18=86
Exploring Operation: 81-68=13, Resulting Numbers: [51, 18, 13]
Generated Node #0,1: 80:[51, 18, 13] Operation: 81-68=13
Exploring Operation: 51-18=33, Resulting Numbers: [81, 68, 33]
Generated Node #0,2: 80:[81, 68, 33] Operation: 51-18=33
Exploring Operation: 68-51=17, Resulting Numbers: [81, 18, 17]
Generated Node #0,3: 80:[81, 18, 17] Operation: 68-51=17
Moving to Node #0,3
Current State: 80:[81, 18, 17], Operations: ['68-51=17']
Exploring Operation: 81-18=63, Resulting Numbers: [17, 63]
Generated Node #0,3,0: 80:[17, 63] Operation: 81-18=63
Exploring Operation: 18+17=35, Resulting Numbers: [81, 35]
Generated Node #0,3,1: 80:[81, 35] Operation: 18+17=35
Exploring Operation: 18-17=1, Resulting Numbers: [81, 1]
Generated Node #0,3,2: 80:[81, 1] Operation: 18-17=1
Exploring Operation: 81-17=64, Resulting Numbers: [18, 64]
Generated Node #0,3,3: 80:[18, 64] Operation: 81-17=64
Moving to Node #0,1
Current State: 80:[51, 18, 13], Operations: ['81-68=13']
Exploring Operation: 51-13=38, Resulting Numbers: [18, 38]
Generated Node #0,1,0: 80:[18, 38] Operation: 51-13=38
Exploring Operation: 51-18=33, Resulting Numbers: [13, 33]
Generated Node #0,1,1: 80:[13, 33] Operation: 51-18=33
Exploring Operation: 18-13=5, Resulting Numbers: [51, 5]
Generated Node #0,1,2: 80:[51, 5] Operation: 18-13=5
Exploring Operation: 51+18=69, Resulting Numbers: [13, 69]
Generated Node #0,1,3: 80:[13, 69] Operation: 51+18=69
Moving to Node #0,0
Current State: 80:[81, 51, 86], Operations: ['68+18=86']
Exploring Operation: 81+51=132, Resulting Numbers: [86, 132]
Generated Node #0,0,0: 80:[86, 132] Operation: 81+51=132
Exploring Operation: 81-51=30, Resulting Numbers: [86, 30]
Generated Node #0,0,1: 80:[86, 30] Operation: 81-51=30
Exploring Operation: 86-51=35, Resulting Numbers: [81, 35]
Generated Node #0,0,2: 80:[81, 35] Operation: 86-51=35
Exploring Operation: 86-81=5, Resulting Numbers: [51, 5]
Generated Node #0,0,3: 80:[51, 5] Operation: 86-81=5
Moving to Node #0,2
Current State: 80:[81, 68, 33], Operations: ['51-18=33']
Exploring Operation: 68+33=101, Resulting Numbers: [81, 101]
Generated Node #0,2,0: 80:[81, 101] Operation: 68+33=101
Exploring Operation: 68-33=35, Resulting Numbers: [81, 35]
Generated Node #0,2,1: 80:[81, 35] Operation: 68-33=35
Exploring Operation: 81-68=13, Resulting Numbers: [33, 13]
Generated Node #0,2,2: 80:[33, 13] Operation: 81-68=13
Exploring Operation: 81-33=48, Resulting Numbers: [68, 48]
Generated Node #0,2,3: 80:[68, 48] Operation: 81-33=48
Moving to Node #0,3,2
Current State: 80:[81, 1], Operations: ['68-51=17', '18-17=1']
Exploring Operation: 81-1=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 0.980903 | bfs_4 | Current State: 80:[81, 68, 51, 18], Operations: []
Exploring Operation: 81+68=149, Resulting Numbers: [51, 18, 149]
Generated Node #2: [51, 18, 149] from Operation: 81+68=149
Current State: 80:[51, 18, 149], Operations: ['81+68=149']
Exploring Operation: 51+18=69, Resulting Numbers: [149, 69]
Generated Node #3: [149, 69] from Operation: 51+18=69
Current State: 80:[149, 69], Operations: ['81+68=149', '51+18=69']
Exploring Operation: 149-69=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| mult_heuristic |
[
45,
25,
31,
66
] | 56 | [
"31-25=6",
"66/6=11",
"45+11=56"
] | Current State: 56:[45, 25, 31, 66], Operations: []
Exploring Operation: 45-31=14, Resulting Numbers: [25, 66, 14]
Generated Node #0,0: 56:[25, 66, 14] Operation: 45-31=14
Exploring Operation: 66-45=21, Resulting Numbers: [25, 31, 21]
Generated Node #0,1: 56:[25, 31, 21] Operation: 66-45=21
Moving to Node #0,0
Current State: 56:[25, 66, 14], Operations: ['45-31=14']
Exploring Operation: 66-25=41, Resulting Numbers: [14, 41]
Generated Node #0,0,0: 56:[14, 41] Operation: 66-25=41
Exploring Operation: 66-14=52, Resulting Numbers: [25, 52]
Generated Node #0,0,1: 56:[25, 52] Operation: 66-14=52
Moving to Node #0,1
Current State: 56:[25, 31, 21], Operations: ['66-45=21']
Exploring Operation: 31-21=10, Resulting Numbers: [25, 10]
Generated Node #0,1,0: 56:[25, 10] Operation: 31-21=10
Exploring Operation: 25-21=4, Resulting Numbers: [31, 4]
Generated Node #0,1,1: 56:[31, 4] Operation: 25-21=4
Moving to Node #0,1,1
Current State: 56:[31, 4], Operations: ['66-45=21', '25-21=4']
Exploring Operation: 31-4=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 31+4=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[25, 10], Operations: ['66-45=21', '31-21=10']
Exploring Operation: 25+10=35, Resulting Numbers: [35]
35,56 unequal: No Solution
Exploring Operation: 25-10=15, Resulting Numbers: [15]
15,56 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 56:[27], Operations: ['66-45=21', '25-21=4', '31-4=27']
Moving to Node #0,1,0,0
Current State: 56:[15], Operations: ['66-45=21', '31-21=10', '25-10=15']
Moving to Node #0,0,1
Current State: 56:[25, 52], Operations: ['45-31=14', '66-14=52']
Exploring Operation: 52-25=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 25+52=77, Resulting Numbers: [77]
77,56 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 56:[35], Operations: ['66-45=21', '31-21=10', '25+10=35']
Moving to Node #0,0,1,0
Current State: 56:[27], Operations: ['45-31=14', '66-14=52', '52-25=27']
Moving to Node #0,1,1,0
Current State: 56:[35], Operations: ['66-45=21', '25-21=4', '31+4=35']
Moving to Node #0,0,0
Current State: 56:[14, 41], Operations: ['45-31=14', '66-25=41']
Exploring Operation: 41-14=27, Resulting Numbers: [27]
27,56 unequal: No Solution
Exploring Operation: 14+41=55, Resulting Numbers: [55]
55,56 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 56:[77], Operations: ['45-31=14', '66-14=52', '25+52=77']
Moving to Node #0,0,0,0
Current State: 56:[27], Operations: ['45-31=14', '66-25=41', '41-14=27']
Moving to Node #0,0,0,0
Current State: 56:[55], Operations: ['45-31=14', '66-25=41', '14+41=55']
No solution found. | 0 | bfs_2 | Current State: 56:[45, 25, 31, 66], Operations: []
Exploring Operation: 31-25=6, Resulting Numbers: [45, 66, 6]
Generated Node #2: [45, 66, 6] from Operation: 31-25=6
Current State: 56:[45, 66, 6], Operations: ['31-25=6']
Exploring Operation: 66/6=11, Resulting Numbers: [45, 11]
Generated Node #3: [45, 11] from Operation: 66/6=11
Current State: 56:[45, 11], Operations: ['31-25=6', '66/6=11']
Exploring Operation: 45+11=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| mult_heuristic |
[
34,
12,
15,
70
] | 90 | [
"12*70=840",
"840/15=56",
"34+56=90"
] | Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 70-34=36, Resulting Numbers: [12, 15, 36]
Generated Node #0,0: 90:[12, 15, 36] Operation: 70-34=36
Moving to Node #0,0
Current State: 90:[12, 15, 36], Operations: ['70-34=36']
Exploring Operation: 36/12=3, Resulting Numbers: [15, 3]
Generated Node #0,0,0: 90:[15, 3] Operation: 36/12=3
Moving to Node #0,0,0
Current State: 90:[15, 3], Operations: ['70-34=36', '36/12=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[15, 3], Operations: ['70-34=36', '36/12=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[15, 3], Operations: ['70-34=36', '36/12=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[15, 3], Operations: ['70-34=36', '36/12=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[12, 15, 36], Operations: ['70-34=36']
Exploring Operation: 12+36=48, Resulting Numbers: [15, 48]
Generated Node #0,0,1: 90:[15, 48] Operation: 12+36=48
Moving to Node #0,0,1
Current State: 90:[15, 48], Operations: ['70-34=36', '12+36=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[15, 48], Operations: ['70-34=36', '12+36=48']
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[12, 15, 36], Operations: ['70-34=36']
Exploring Operation: 36-15=21, Resulting Numbers: [12, 21]
Generated Node #0,0,2: 90:[12, 21] Operation: 36-15=21
Moving to Node #0,0,2
Current State: 90:[12, 21], Operations: ['70-34=36', '36-15=21']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[12, 21], Operations: ['70-34=36', '36-15=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[12, 15, 36], Operations: ['70-34=36']
Exploring Operation: 15-12=3, Resulting Numbers: [36, 3]
Generated Node #0,0,3: 90:[36, 3] Operation: 15-12=3
Moving to Node #0,0,3
Current State: 90:[36, 3], Operations: ['70-34=36', '15-12=3']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[36, 3], Operations: ['70-34=36', '15-12=3']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[36, 3], Operations: ['70-34=36', '15-12=3']
Exploring Operation: 36+3=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[36, 3], Operations: ['70-34=36', '15-12=3']
Exploring Operation: 36*3=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[12, 15, 36], Operations: ['70-34=36']
Exploring Operation: 36-12=24, Resulting Numbers: [15, 24]
Generated Node #0,0,4: 90:[15, 24] Operation: 36-12=24
Moving to Node #0,0,4
Current State: 90:[15, 24], Operations: ['70-34=36', '36-12=24']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,0,4
Current State: 90:[15, 24], Operations: ['70-34=36', '36-12=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[12, 15, 36], Operations: ['70-34=36']
Exploring Operation: 15+36=51, Resulting Numbers: [12, 51]
Generated Node #0,0,5: 90:[12, 51] Operation: 15+36=51
Moving to Node #0,0,5
Current State: 90:[12, 51], Operations: ['70-34=36', '15+36=51']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,0,5
Current State: 90:[12, 51], Operations: ['70-34=36', '15+36=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[12, 15, 36], Operations: ['70-34=36']
Exploring Operation: 12+15=27, Resulting Numbers: [36, 27]
Generated Node #0,0,6: 90:[36, 27] Operation: 12+15=27
Moving to Node #0,0,6
Current State: 90:[36, 27], Operations: ['70-34=36', '12+15=27']
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,0,6
Current State: 90:[36, 27], Operations: ['70-34=36', '12+15=27']
Exploring Operation: 36+27=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 15+70=85, Resulting Numbers: [34, 12, 85]
Generated Node #0,1: 90:[34, 12, 85] Operation: 15+70=85
Moving to Node #0,1
Current State: 90:[34, 12, 85], Operations: ['15+70=85']
Exploring Operation: 34+12=46, Resulting Numbers: [85, 46]
Generated Node #0,1,0: 90:[85, 46] Operation: 34+12=46
Moving to Node #0,1,0
Current State: 90:[85, 46], Operations: ['15+70=85', '34+12=46']
Exploring Operation: 85-46=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[85, 46], Operations: ['15+70=85', '34+12=46']
Exploring Operation: 85+46=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[34, 12, 85], Operations: ['15+70=85']
Exploring Operation: 85-34=51, Resulting Numbers: [12, 51]
Generated Node #0,1,1: 90:[12, 51] Operation: 85-34=51
Moving to Node #0,1,1
Current State: 90:[12, 51], Operations: ['15+70=85', '85-34=51']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[12, 51], Operations: ['15+70=85', '85-34=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[34, 12, 85], Operations: ['15+70=85']
Exploring Operation: 34-12=22, Resulting Numbers: [85, 22]
Generated Node #0,1,2: 90:[85, 22] Operation: 34-12=22
Moving to Node #0,1,2
Current State: 90:[85, 22], Operations: ['15+70=85', '34-12=22']
Exploring Operation: 85+22=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[85, 22], Operations: ['15+70=85', '34-12=22']
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[34, 12, 85], Operations: ['15+70=85']
Exploring Operation: 12+85=97, Resulting Numbers: [34, 97]
Generated Node #0,1,3: 90:[34, 97] Operation: 12+85=97
Moving to Node #0,1,3
Current State: 90:[34, 97], Operations: ['15+70=85', '12+85=97']
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,1,3
Current State: 90:[34, 97], Operations: ['15+70=85', '12+85=97']
Exploring Operation: 34+97=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[34, 12, 85], Operations: ['15+70=85']
Exploring Operation: 85-12=73, Resulting Numbers: [34, 73]
Generated Node #0,1,4: 90:[34, 73] Operation: 85-12=73
Moving to Node #0,1,4
Current State: 90:[34, 73], Operations: ['15+70=85', '85-12=73']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,1,4
Current State: 90:[34, 73], Operations: ['15+70=85', '85-12=73']
Exploring Operation: 34+73=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[34, 12, 85], Operations: ['15+70=85']
Exploring Operation: 34+85=119, Resulting Numbers: [12, 119]
Generated Node #0,1,5: 90:[12, 119] Operation: 34+85=119
Moving to Node #0,1,5
Current State: 90:[12, 119], Operations: ['15+70=85', '34+85=119']
Exploring Operation: 119-12=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,1,5
Current State: 90:[12, 119], Operations: ['15+70=85', '34+85=119']
Exploring Operation: 12+119=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 12+70=82, Resulting Numbers: [34, 15, 82]
Generated Node #0,2: 90:[34, 15, 82] Operation: 12+70=82
Moving to Node #0,2
Current State: 90:[34, 15, 82], Operations: ['12+70=82']
Exploring Operation: 82-34=48, Resulting Numbers: [15, 48]
Generated Node #0,2,0: 90:[15, 48] Operation: 82-34=48
Moving to Node #0,2,0
Current State: 90:[15, 48], Operations: ['12+70=82', '82-34=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,2,0
Current State: 90:[15, 48], Operations: ['12+70=82', '82-34=48']
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,2
Current State: 90:[34, 15, 82], Operations: ['12+70=82']
Exploring Operation: 34-15=19, Resulting Numbers: [82, 19]
Generated Node #0,2,1: 90:[82, 19] Operation: 34-15=19
Moving to Node #0,2,1
Current State: 90:[82, 19], Operations: ['12+70=82', '34-15=19']
Exploring Operation: 82+19=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,2,1
Current State: 90:[82, 19], Operations: ['12+70=82', '34-15=19']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,2
Current State: 90:[34, 15, 82], Operations: ['12+70=82']
Exploring Operation: 15+82=97, Resulting Numbers: [34, 97]
Generated Node #0,2,2: 90:[34, 97] Operation: 15+82=97
Moving to Node #0,2,2
Current State: 90:[34, 97], Operations: ['12+70=82', '15+82=97']
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,2,2
Current State: 90:[34, 97], Operations: ['12+70=82', '15+82=97']
Exploring Operation: 34+97=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,2
Current State: 90:[34, 15, 82], Operations: ['12+70=82']
Exploring Operation: 34+15=49, Resulting Numbers: [82, 49]
Generated Node #0,2,3: 90:[82, 49] Operation: 34+15=49
Moving to Node #0,2,3
Current State: 90:[82, 49], Operations: ['12+70=82', '34+15=49']
Exploring Operation: 82-49=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,2,3
Current State: 90:[82, 49], Operations: ['12+70=82', '34+15=49']
Exploring Operation: 82+49=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,2
Current State: 90:[34, 15, 82], Operations: ['12+70=82']
Exploring Operation: 34+82=116, Resulting Numbers: [15, 116]
Generated Node #0,2,4: 90:[15, 116] Operation: 34+82=116
Moving to Node #0,2,4
Current State: 90:[15, 116], Operations: ['12+70=82', '34+82=116']
Exploring Operation: 116-15=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,2,4
Current State: 90:[15, 116], Operations: ['12+70=82', '34+82=116']
Exploring Operation: 15+116=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,2
Current State: 90:[34, 15, 82], Operations: ['12+70=82']
Exploring Operation: 82-15=67, Resulting Numbers: [34, 67]
Generated Node #0,2,5: 90:[34, 67] Operation: 82-15=67
Moving to Node #0,2,5
Current State: 90:[34, 67], Operations: ['12+70=82', '82-15=67']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,2,5
Current State: 90:[34, 67], Operations: ['12+70=82', '82-15=67']
Exploring Operation: 34+67=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 34+70=104, Resulting Numbers: [12, 15, 104]
Generated Node #0,3: 90:[12, 15, 104] Operation: 34+70=104
Moving to Node #0,3
Current State: 90:[12, 15, 104], Operations: ['34+70=104']
Exploring Operation: 104-12=92, Resulting Numbers: [15, 92]
Generated Node #0,3,0: 90:[15, 92] Operation: 104-12=92
Moving to Node #0,3,0
Current State: 90:[15, 92], Operations: ['34+70=104', '104-12=92']
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,3,0
Current State: 90:[15, 92], Operations: ['34+70=104', '104-12=92']
Exploring Operation: 15+92=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,3
Current State: 90:[12, 15, 104], Operations: ['34+70=104']
Exploring Operation: 104-15=89, Resulting Numbers: [12, 89]
Generated Node #0,3,1: 90:[12, 89] Operation: 104-15=89
Moving to Node #0,3,1
Current State: 90:[12, 89], Operations: ['34+70=104', '104-15=89']
Exploring Operation: 12+89=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,3,1
Current State: 90:[12, 89], Operations: ['34+70=104', '104-15=89']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,3
Current State: 90:[12, 15, 104], Operations: ['34+70=104']
Exploring Operation: 15-12=3, Resulting Numbers: [104, 3]
Generated Node #0,3,2: 90:[104, 3] Operation: 15-12=3
Moving to Node #0,3,2
Current State: 90:[104, 3], Operations: ['34+70=104', '15-12=3']
Exploring Operation: 104-3=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,3,2
Current State: 90:[104, 3], Operations: ['34+70=104', '15-12=3']
Exploring Operation: 104+3=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,3
Current State: 90:[12, 15, 104], Operations: ['34+70=104']
Exploring Operation: 12+15=27, Resulting Numbers: [104, 27]
Generated Node #0,3,3: 90:[104, 27] Operation: 12+15=27
Moving to Node #0,3,3
Current State: 90:[104, 27], Operations: ['34+70=104', '12+15=27']
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,3,3
Current State: 90:[104, 27], Operations: ['34+70=104', '12+15=27']
Exploring Operation: 104+27=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,3
Current State: 90:[12, 15, 104], Operations: ['34+70=104']
Exploring Operation: 12+104=116, Resulting Numbers: [15, 116]
Generated Node #0,3,4: 90:[15, 116] Operation: 12+104=116
Moving to Node #0,3,4
Current State: 90:[15, 116], Operations: ['34+70=104', '12+104=116']
Exploring Operation: 116-15=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,3,4
Current State: 90:[15, 116], Operations: ['34+70=104', '12+104=116']
Exploring Operation: 15+116=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,3
Current State: 90:[12, 15, 104], Operations: ['34+70=104']
Exploring Operation: 15+104=119, Resulting Numbers: [12, 119]
Generated Node #0,3,5: 90:[12, 119] Operation: 15+104=119
Moving to Node #0,3,5
Current State: 90:[12, 119], Operations: ['34+70=104', '15+104=119']
Exploring Operation: 119-12=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,3,5
Current State: 90:[12, 119], Operations: ['34+70=104', '15+104=119']
Exploring Operation: 12+119=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 70-15=55, Resulting Numbers: [34, 12, 55]
Generated Node #0,4: 90:[34, 12, 55] Operation: 70-15=55
Moving to Node #0,4
Current State: 90:[34, 12, 55], Operations: ['70-15=55']
Exploring Operation: 34+55=89, Resulting Numbers: [12, 89]
Generated Node #0,4,0: 90:[12, 89] Operation: 34+55=89
Moving to Node #0,4,0
Current State: 90:[12, 89], Operations: ['70-15=55', '34+55=89']
Exploring Operation: 12+89=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,4,0
Current State: 90:[12, 89], Operations: ['70-15=55', '34+55=89']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,4
Current State: 90:[34, 12, 55], Operations: ['70-15=55']
Exploring Operation: 55-34=21, Resulting Numbers: [12, 21]
Generated Node #0,4,1: 90:[12, 21] Operation: 55-34=21
Moving to Node #0,4,1
Current State: 90:[12, 21], Operations: ['70-15=55', '55-34=21']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,4,1
Current State: 90:[12, 21], Operations: ['70-15=55', '55-34=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,4
Current State: 90:[34, 12, 55], Operations: ['70-15=55']
Exploring Operation: 55-12=43, Resulting Numbers: [34, 43]
Generated Node #0,4,2: 90:[34, 43] Operation: 55-12=43
Moving to Node #0,4,2
Current State: 90:[34, 43], Operations: ['70-15=55', '55-12=43']
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,4,2
Current State: 90:[34, 43], Operations: ['70-15=55', '55-12=43']
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,4
Current State: 90:[34, 12, 55], Operations: ['70-15=55']
Exploring Operation: 34+12=46, Resulting Numbers: [55, 46]
Generated Node #0,4,3: 90:[55, 46] Operation: 34+12=46
Moving to Node #0,4,3
Current State: 90:[55, 46], Operations: ['70-15=55', '34+12=46']
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,4,3
Current State: 90:[55, 46], Operations: ['70-15=55', '34+12=46']
Exploring Operation: 55+46=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,4
Current State: 90:[34, 12, 55], Operations: ['70-15=55']
Exploring Operation: 34-12=22, Resulting Numbers: [55, 22]
Generated Node #0,4,4: 90:[55, 22] Operation: 34-12=22
Moving to Node #0,4,4
Current State: 90:[55, 22], Operations: ['70-15=55', '34-12=22']
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,4,4
Current State: 90:[55, 22], Operations: ['70-15=55', '34-12=22']
Exploring Operation: 55+22=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,4
Current State: 90:[34, 12, 55], Operations: ['70-15=55']
Exploring Operation: 12+55=67, Resulting Numbers: [34, 67]
Generated Node #0,4,5: 90:[34, 67] Operation: 12+55=67
Moving to Node #0,4,5
Current State: 90:[34, 67], Operations: ['70-15=55', '12+55=67']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,4,5
Current State: 90:[34, 67], Operations: ['70-15=55', '12+55=67']
Exploring Operation: 34+67=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 70-12=58, Resulting Numbers: [34, 15, 58]
Generated Node #0,5: 90:[34, 15, 58] Operation: 70-12=58
Moving to Node #0,5
Current State: 90:[34, 15, 58], Operations: ['70-12=58']
Exploring Operation: 34+58=92, Resulting Numbers: [15, 92]
Generated Node #0,5,0: 90:[15, 92] Operation: 34+58=92
Moving to Node #0,5,0
Current State: 90:[15, 92], Operations: ['70-12=58', '34+58=92']
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,5,0
Current State: 90:[15, 92], Operations: ['70-12=58', '34+58=92']
Exploring Operation: 15+92=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,5
Current State: 90:[34, 15, 58], Operations: ['70-12=58']
Exploring Operation: 58-34=24, Resulting Numbers: [15, 24]
Generated Node #0,5,1: 90:[15, 24] Operation: 58-34=24
Moving to Node #0,5,1
Current State: 90:[15, 24], Operations: ['70-12=58', '58-34=24']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,5,1
Current State: 90:[15, 24], Operations: ['70-12=58', '58-34=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,5
Current State: 90:[34, 15, 58], Operations: ['70-12=58']
Exploring Operation: 58-15=43, Resulting Numbers: [34, 43]
Generated Node #0,5,2: 90:[34, 43] Operation: 58-15=43
Moving to Node #0,5,2
Current State: 90:[34, 43], Operations: ['70-12=58', '58-15=43']
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,5,2
Current State: 90:[34, 43], Operations: ['70-12=58', '58-15=43']
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,5
Current State: 90:[34, 15, 58], Operations: ['70-12=58']
Exploring Operation: 34-15=19, Resulting Numbers: [58, 19]
Generated Node #0,5,3: 90:[58, 19] Operation: 34-15=19
Moving to Node #0,5,3
Current State: 90:[58, 19], Operations: ['70-12=58', '34-15=19']
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,5,3
Current State: 90:[58, 19], Operations: ['70-12=58', '34-15=19']
Exploring Operation: 58+19=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,5
Current State: 90:[34, 15, 58], Operations: ['70-12=58']
Exploring Operation: 34+15=49, Resulting Numbers: [58, 49]
Generated Node #0,5,4: 90:[58, 49] Operation: 34+15=49
Moving to Node #0,5,4
Current State: 90:[58, 49], Operations: ['70-12=58', '34+15=49']
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,5,4
Current State: 90:[58, 49], Operations: ['70-12=58', '34+15=49']
Exploring Operation: 58+49=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,5
Current State: 90:[34, 15, 58], Operations: ['70-12=58']
Exploring Operation: 15+58=73, Resulting Numbers: [34, 73]
Generated Node #0,5,5: 90:[34, 73] Operation: 15+58=73
Moving to Node #0,5,5
Current State: 90:[34, 73], Operations: ['70-12=58', '15+58=73']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,5,5
Current State: 90:[34, 73], Operations: ['70-12=58', '15+58=73']
Exploring Operation: 34+73=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 34+12=46, Resulting Numbers: [15, 70, 46]
Generated Node #0,6: 90:[15, 70, 46] Operation: 34+12=46
Moving to Node #0,6
Current State: 90:[15, 70, 46], Operations: ['34+12=46']
Exploring Operation: 15+70=85, Resulting Numbers: [46, 85]
Generated Node #0,6,0: 90:[46, 85] Operation: 15+70=85
Moving to Node #0,6,0
Current State: 90:[46, 85], Operations: ['34+12=46', '15+70=85']
Exploring Operation: 85-46=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,6,0
Current State: 90:[46, 85], Operations: ['34+12=46', '15+70=85']
Exploring Operation: 46+85=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,6
Current State: 90:[15, 70, 46], Operations: ['34+12=46']
Exploring Operation: 70-46=24, Resulting Numbers: [15, 24]
Generated Node #0,6,1: 90:[15, 24] Operation: 70-46=24
Moving to Node #0,6,1
Current State: 90:[15, 24], Operations: ['34+12=46', '70-46=24']
Exploring Operation: 24-15=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,6,1
Current State: 90:[15, 24], Operations: ['34+12=46', '70-46=24']
Exploring Operation: 15+24=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,6
Current State: 90:[15, 70, 46], Operations: ['34+12=46']
Exploring Operation: 70-15=55, Resulting Numbers: [46, 55]
Generated Node #0,6,2: 90:[46, 55] Operation: 70-15=55
Moving to Node #0,6,2
Current State: 90:[46, 55], Operations: ['34+12=46', '70-15=55']
Exploring Operation: 55-46=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,6,2
Current State: 90:[46, 55], Operations: ['34+12=46', '70-15=55']
Exploring Operation: 46+55=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,6
Current State: 90:[15, 70, 46], Operations: ['34+12=46']
Exploring Operation: 46-15=31, Resulting Numbers: [70, 31]
Generated Node #0,6,3: 90:[70, 31] Operation: 46-15=31
Moving to Node #0,6,3
Current State: 90:[70, 31], Operations: ['34+12=46', '46-15=31']
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,6,3
Current State: 90:[70, 31], Operations: ['34+12=46', '46-15=31']
Exploring Operation: 70+31=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,6
Current State: 90:[15, 70, 46], Operations: ['34+12=46']
Exploring Operation: 70+46=116, Resulting Numbers: [15, 116]
Generated Node #0,6,4: 90:[15, 116] Operation: 70+46=116
Moving to Node #0,6,4
Current State: 90:[15, 116], Operations: ['34+12=46', '70+46=116']
Exploring Operation: 116-15=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,6,4
Current State: 90:[15, 116], Operations: ['34+12=46', '70+46=116']
Exploring Operation: 15+116=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,6
Current State: 90:[15, 70, 46], Operations: ['34+12=46']
Exploring Operation: 15+46=61, Resulting Numbers: [70, 61]
Generated Node #0,6,5: 90:[70, 61] Operation: 15+46=61
Moving to Node #0,6,5
Current State: 90:[70, 61], Operations: ['34+12=46', '15+46=61']
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,6,5
Current State: 90:[70, 61], Operations: ['34+12=46', '15+46=61']
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 34-15=19, Resulting Numbers: [12, 70, 19]
Generated Node #0,7: 90:[12, 70, 19] Operation: 34-15=19
Moving to Node #0,7
Current State: 90:[12, 70, 19], Operations: ['34-15=19']
Exploring Operation: 70+19=89, Resulting Numbers: [12, 89]
Generated Node #0,7,0: 90:[12, 89] Operation: 70+19=89
Moving to Node #0,7,0
Current State: 90:[12, 89], Operations: ['34-15=19', '70+19=89']
Exploring Operation: 12+89=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,7,0
Current State: 90:[12, 89], Operations: ['34-15=19', '70+19=89']
Exploring Operation: 89-12=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,7
Current State: 90:[12, 70, 19], Operations: ['34-15=19']
Exploring Operation: 70-19=51, Resulting Numbers: [12, 51]
Generated Node #0,7,1: 90:[12, 51] Operation: 70-19=51
Moving to Node #0,7,1
Current State: 90:[12, 51], Operations: ['34-15=19', '70-19=51']
Exploring Operation: 51-12=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,7,1
Current State: 90:[12, 51], Operations: ['34-15=19', '70-19=51']
Exploring Operation: 12+51=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,7
Current State: 90:[12, 70, 19], Operations: ['34-15=19']
Exploring Operation: 12+70=82, Resulting Numbers: [19, 82]
Generated Node #0,7,2: 90:[19, 82] Operation: 12+70=82
Moving to Node #0,7,2
Current State: 90:[19, 82], Operations: ['34-15=19', '12+70=82']
Exploring Operation: 19+82=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,7,2
Current State: 90:[19, 82], Operations: ['34-15=19', '12+70=82']
Exploring Operation: 82-19=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,7
Current State: 90:[12, 70, 19], Operations: ['34-15=19']
Exploring Operation: 70-12=58, Resulting Numbers: [19, 58]
Generated Node #0,7,3: 90:[19, 58] Operation: 70-12=58
Moving to Node #0,7,3
Current State: 90:[19, 58], Operations: ['34-15=19', '70-12=58']
Exploring Operation: 58-19=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,7,3
Current State: 90:[19, 58], Operations: ['34-15=19', '70-12=58']
Exploring Operation: 19+58=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,7
Current State: 90:[12, 70, 19], Operations: ['34-15=19']
Exploring Operation: 12+19=31, Resulting Numbers: [70, 31]
Generated Node #0,7,4: 90:[70, 31] Operation: 12+19=31
Moving to Node #0,7,4
Current State: 90:[70, 31], Operations: ['34-15=19', '12+19=31']
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,7,4
Current State: 90:[70, 31], Operations: ['34-15=19', '12+19=31']
Exploring Operation: 70+31=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,7
Current State: 90:[12, 70, 19], Operations: ['34-15=19']
Exploring Operation: 19-12=7, Resulting Numbers: [70, 7]
Generated Node #0,7,5: 90:[70, 7] Operation: 19-12=7
Moving to Node #0,7,5
Current State: 90:[70, 7], Operations: ['34-15=19', '19-12=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Moving to Node #0,7,5
Current State: 90:[70, 7], Operations: ['34-15=19', '19-12=7']
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,7,5
Current State: 90:[70, 7], Operations: ['34-15=19', '19-12=7']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 34-12=22, Resulting Numbers: [15, 70, 22]
Generated Node #0,8: 90:[15, 70, 22] Operation: 34-12=22
Moving to Node #0,8
Current State: 90:[15, 70, 22], Operations: ['34-12=22']
Exploring Operation: 70+22=92, Resulting Numbers: [15, 92]
Generated Node #0,8,0: 90:[15, 92] Operation: 70+22=92
Moving to Node #0,8,0
Current State: 90:[15, 92], Operations: ['34-12=22', '70+22=92']
Exploring Operation: 92-15=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,8,0
Current State: 90:[15, 92], Operations: ['34-12=22', '70+22=92']
Exploring Operation: 15+92=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,8
Current State: 90:[15, 70, 22], Operations: ['34-12=22']
Exploring Operation: 70-22=48, Resulting Numbers: [15, 48]
Generated Node #0,8,1: 90:[15, 48] Operation: 70-22=48
Moving to Node #0,8,1
Current State: 90:[15, 48], Operations: ['34-12=22', '70-22=48']
Exploring Operation: 48-15=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,8,1
Current State: 90:[15, 48], Operations: ['34-12=22', '70-22=48']
Exploring Operation: 15+48=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,8
Current State: 90:[15, 70, 22], Operations: ['34-12=22']
Exploring Operation: 15+70=85, Resulting Numbers: [22, 85]
Generated Node #0,8,2: 90:[22, 85] Operation: 15+70=85
Moving to Node #0,8,2
Current State: 90:[22, 85], Operations: ['34-12=22', '15+70=85']
Exploring Operation: 22+85=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,8,2
Current State: 90:[22, 85], Operations: ['34-12=22', '15+70=85']
Exploring Operation: 85-22=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,8
Current State: 90:[15, 70, 22], Operations: ['34-12=22']
Exploring Operation: 70-15=55, Resulting Numbers: [22, 55]
Generated Node #0,8,3: 90:[22, 55] Operation: 70-15=55
Moving to Node #0,8,3
Current State: 90:[22, 55], Operations: ['34-12=22', '70-15=55']
Exploring Operation: 55-22=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,8,3
Current State: 90:[22, 55], Operations: ['34-12=22', '70-15=55']
Exploring Operation: 22+55=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,8
Current State: 90:[15, 70, 22], Operations: ['34-12=22']
Exploring Operation: 22-15=7, Resulting Numbers: [70, 7]
Generated Node #0,8,4: 90:[70, 7] Operation: 22-15=7
Moving to Node #0,8,4
Current State: 90:[70, 7], Operations: ['34-12=22', '22-15=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Moving to Node #0,8,4
Current State: 90:[70, 7], Operations: ['34-12=22', '22-15=7']
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,8,4
Current State: 90:[70, 7], Operations: ['34-12=22', '22-15=7']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,8
Current State: 90:[15, 70, 22], Operations: ['34-12=22']
Exploring Operation: 15+22=37, Resulting Numbers: [70, 37]
Generated Node #0,8,5: 90:[70, 37] Operation: 15+22=37
Moving to Node #0,8,5
Current State: 90:[70, 37], Operations: ['34-12=22', '15+22=37']
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,8,5
Current State: 90:[70, 37], Operations: ['34-12=22', '15+22=37']
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [34, 70, 3]
Generated Node #0,9: 90:[34, 70, 3] Operation: 15-12=3
Moving to Node #0,9
Current State: 90:[34, 70, 3], Operations: ['15-12=3']
Exploring Operation: 70-34=36, Resulting Numbers: [3, 36]
Generated Node #0,9,0: 90:[3, 36] Operation: 70-34=36
Moving to Node #0,9,0
Current State: 90:[3, 36], Operations: ['15-12=3', '70-34=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,90 unequal: No Solution
Moving to Node #0,9,0
Current State: 90:[3, 36], Operations: ['15-12=3', '70-34=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,9,0
Current State: 90:[3, 36], Operations: ['15-12=3', '70-34=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,9,0
Current State: 90:[3, 36], Operations: ['15-12=3', '70-34=36']
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,90 unequal: No Solution
Moving to Node #0,9
Current State: 90:[34, 70, 3], Operations: ['15-12=3']
Exploring Operation: 34+70=104, Resulting Numbers: [3, 104]
Generated Node #0,9,1: 90:[3, 104] Operation: 34+70=104
Moving to Node #0,9,1
Current State: 90:[3, 104], Operations: ['15-12=3', '34+70=104']
Exploring Operation: 104-3=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,9,1
Current State: 90:[3, 104], Operations: ['15-12=3', '34+70=104']
Exploring Operation: 3+104=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,9
Current State: 90:[34, 70, 3], Operations: ['15-12=3']
Exploring Operation: 34-3=31, Resulting Numbers: [70, 31]
Generated Node #0,9,2: 90:[70, 31] Operation: 34-3=31
Moving to Node #0,9,2
Current State: 90:[70, 31], Operations: ['15-12=3', '34-3=31']
Exploring Operation: 70-31=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,9,2
Current State: 90:[70, 31], Operations: ['15-12=3', '34-3=31']
Exploring Operation: 70+31=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,9
Current State: 90:[34, 70, 3], Operations: ['15-12=3']
Exploring Operation: 70+3=73, Resulting Numbers: [34, 73]
Generated Node #0,9,3: 90:[34, 73] Operation: 70+3=73
Moving to Node #0,9,3
Current State: 90:[34, 73], Operations: ['15-12=3', '70+3=73']
Exploring Operation: 73-34=39, Resulting Numbers: [39]
39,90 unequal: No Solution
Moving to Node #0,9,3
Current State: 90:[34, 73], Operations: ['15-12=3', '70+3=73']
Exploring Operation: 34+73=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,9
Current State: 90:[34, 70, 3], Operations: ['15-12=3']
Exploring Operation: 70-3=67, Resulting Numbers: [34, 67]
Generated Node #0,9,4: 90:[34, 67] Operation: 70-3=67
Moving to Node #0,9,4
Current State: 90:[34, 67], Operations: ['15-12=3', '70-3=67']
Exploring Operation: 67-34=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,9,4
Current State: 90:[34, 67], Operations: ['15-12=3', '70-3=67']
Exploring Operation: 34+67=101, Resulting Numbers: [101]
101,90 unequal: No Solution
Moving to Node #0,9
Current State: 90:[34, 70, 3], Operations: ['15-12=3']
Exploring Operation: 34+3=37, Resulting Numbers: [70, 37]
Generated Node #0,9,5: 90:[70, 37] Operation: 34+3=37
Moving to Node #0,9,5
Current State: 90:[70, 37], Operations: ['15-12=3', '34+3=37']
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,9,5
Current State: 90:[70, 37], Operations: ['15-12=3', '34+3=37']
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,9
Current State: 90:[34, 70, 3], Operations: ['15-12=3']
Exploring Operation: 34*3=102, Resulting Numbers: [70, 102]
Generated Node #0,9,6: 90:[70, 102] Operation: 34*3=102
Moving to Node #0,9,6
Current State: 90:[70, 102], Operations: ['15-12=3', '34*3=102']
Exploring Operation: 102-70=32, Resulting Numbers: [32]
32,90 unequal: No Solution
Moving to Node #0,9,6
Current State: 90:[70, 102], Operations: ['15-12=3', '34*3=102']
Exploring Operation: 70+102=172, Resulting Numbers: [172]
172,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 34+15=49, Resulting Numbers: [12, 70, 49]
Generated Node #0,10: 90:[12, 70, 49] Operation: 34+15=49
Moving to Node #0,10
Current State: 90:[12, 70, 49], Operations: ['34+15=49']
Exploring Operation: 70-49=21, Resulting Numbers: [12, 21]
Generated Node #0,10,0: 90:[12, 21] Operation: 70-49=21
Moving to Node #0,10,0
Current State: 90:[12, 21], Operations: ['34+15=49', '70-49=21']
Exploring Operation: 21-12=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,10,0
Current State: 90:[12, 21], Operations: ['34+15=49', '70-49=21']
Exploring Operation: 12+21=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,10
Current State: 90:[12, 70, 49], Operations: ['34+15=49']
Exploring Operation: 12+70=82, Resulting Numbers: [49, 82]
Generated Node #0,10,1: 90:[49, 82] Operation: 12+70=82
Moving to Node #0,10,1
Current State: 90:[49, 82], Operations: ['34+15=49', '12+70=82']
Exploring Operation: 82-49=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,10,1
Current State: 90:[49, 82], Operations: ['34+15=49', '12+70=82']
Exploring Operation: 49+82=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,10
Current State: 90:[12, 70, 49], Operations: ['34+15=49']
Exploring Operation: 70-12=58, Resulting Numbers: [49, 58]
Generated Node #0,10,2: 90:[49, 58] Operation: 70-12=58
Moving to Node #0,10,2
Current State: 90:[49, 58], Operations: ['34+15=49', '70-12=58']
Exploring Operation: 58-49=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,10,2
Current State: 90:[49, 58], Operations: ['34+15=49', '70-12=58']
Exploring Operation: 49+58=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,10
Current State: 90:[12, 70, 49], Operations: ['34+15=49']
Exploring Operation: 49-12=37, Resulting Numbers: [70, 37]
Generated Node #0,10,3: 90:[70, 37] Operation: 49-12=37
Moving to Node #0,10,3
Current State: 90:[70, 37], Operations: ['34+15=49', '49-12=37']
Exploring Operation: 70-37=33, Resulting Numbers: [33]
33,90 unequal: No Solution
Moving to Node #0,10,3
Current State: 90:[70, 37], Operations: ['34+15=49', '49-12=37']
Exploring Operation: 70+37=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,10
Current State: 90:[12, 70, 49], Operations: ['34+15=49']
Exploring Operation: 70+49=119, Resulting Numbers: [12, 119]
Generated Node #0,10,4: 90:[12, 119] Operation: 70+49=119
Moving to Node #0,10,4
Current State: 90:[12, 119], Operations: ['34+15=49', '70+49=119']
Exploring Operation: 119-12=107, Resulting Numbers: [107]
107,90 unequal: No Solution
Moving to Node #0,10,4
Current State: 90:[12, 119], Operations: ['34+15=49', '70+49=119']
Exploring Operation: 12+119=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,10
Current State: 90:[12, 70, 49], Operations: ['34+15=49']
Exploring Operation: 12+49=61, Resulting Numbers: [70, 61]
Generated Node #0,10,5: 90:[70, 61] Operation: 12+49=61
Moving to Node #0,10,5
Current State: 90:[70, 61], Operations: ['34+15=49', '12+49=61']
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,10,5
Current State: 90:[70, 61], Operations: ['34+15=49', '12+49=61']
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0
Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 12+15=27, Resulting Numbers: [34, 70, 27]
Generated Node #0,11: 90:[34, 70, 27] Operation: 12+15=27
Moving to Node #0,11
Current State: 90:[34, 70, 27], Operations: ['12+15=27']
Exploring Operation: 70-27=43, Resulting Numbers: [34, 43]
Generated Node #0,11,0: 90:[34, 43] Operation: 70-27=43
Moving to Node #0,11,0
Current State: 90:[34, 43], Operations: ['12+15=27', '70-27=43']
Exploring Operation: 43-34=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,11,0
Current State: 90:[34, 43], Operations: ['12+15=27', '70-27=43']
Exploring Operation: 34+43=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,11
Current State: 90:[34, 70, 27], Operations: ['12+15=27']
Exploring Operation: 70-34=36, Resulting Numbers: [27, 36]
Generated Node #0,11,1: 90:[27, 36] Operation: 70-34=36
Moving to Node #0,11,1
Current State: 90:[27, 36], Operations: ['12+15=27', '70-34=36']
Exploring Operation: 36-27=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,11,1
Current State: 90:[27, 36], Operations: ['12+15=27', '70-34=36']
Exploring Operation: 27+36=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,11
Current State: 90:[34, 70, 27], Operations: ['12+15=27']
Exploring Operation: 70+27=97, Resulting Numbers: [34, 97]
Generated Node #0,11,2: 90:[34, 97] Operation: 70+27=97
Moving to Node #0,11,2
Current State: 90:[34, 97], Operations: ['12+15=27', '70+27=97']
Exploring Operation: 97-34=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,11,2
Current State: 90:[34, 97], Operations: ['12+15=27', '70+27=97']
Exploring Operation: 34+97=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,11
Current State: 90:[34, 70, 27], Operations: ['12+15=27']
Exploring Operation: 34+70=104, Resulting Numbers: [27, 104]
Generated Node #0,11,3: 90:[27, 104] Operation: 34+70=104
Moving to Node #0,11,3
Current State: 90:[27, 104], Operations: ['12+15=27', '34+70=104']
Exploring Operation: 104-27=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,11,3
Current State: 90:[27, 104], Operations: ['12+15=27', '34+70=104']
Exploring Operation: 27+104=131, Resulting Numbers: [131]
131,90 unequal: No Solution
Moving to Node #0,11
Current State: 90:[34, 70, 27], Operations: ['12+15=27']
Exploring Operation: 34-27=7, Resulting Numbers: [70, 7]
Generated Node #0,11,4: 90:[70, 7] Operation: 34-27=7
Moving to Node #0,11,4
Current State: 90:[70, 7], Operations: ['12+15=27', '34-27=7']
Exploring Operation: 70/7=10, Resulting Numbers: [10]
10,90 unequal: No Solution
Moving to Node #0,11,4
Current State: 90:[70, 7], Operations: ['12+15=27', '34-27=7']
Exploring Operation: 70+7=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,11,4
Current State: 90:[70, 7], Operations: ['12+15=27', '34-27=7']
Exploring Operation: 70-7=63, Resulting Numbers: [63]
63,90 unequal: No Solution
Moving to Node #0,11
Current State: 90:[34, 70, 27], Operations: ['12+15=27']
Exploring Operation: 34+27=61, Resulting Numbers: [70, 61]
Generated Node #0,11,5: 90:[70, 61] Operation: 34+27=61
Moving to Node #0,11,5
Current State: 90:[70, 61], Operations: ['12+15=27', '34+27=61']
Exploring Operation: 70-61=9, Resulting Numbers: [9]
9,90 unequal: No Solution
Moving to Node #0,11,5
Current State: 90:[70, 61], Operations: ['12+15=27', '34+27=61']
Exploring Operation: 70+61=131, Resulting Numbers: [131]
131,90 unequal: No Solution
| 0 | dfs | Current State: 90:[34, 12, 15, 70], Operations: []
Exploring Operation: 12*70=840, Resulting Numbers: [34, 15, 840]
Generated Node #2: [34, 15, 840] from Operation: 12*70=840
Current State: 90:[34, 15, 840], Operations: ['12*70=840']
Exploring Operation: 840/15=56, Resulting Numbers: [34, 56]
Generated Node #3: [34, 56] from Operation: 840/15=56
Current State: 90:[34, 56], Operations: ['12*70=840', '840/15=56']
Exploring Operation: 34+56=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| mult_heuristic |
[
67,
44,
37,
37
] | 23 | [
"67-44=23",
"37-37=0",
"23+0=23"
] | Current State: 23:[67, 44, 37, 37], Operations: []
| 0 | dfs | Current State: 23:[67, 44, 37, 37], Operations: []
Exploring Operation: 67-44=23, Resulting Numbers: [37, 37, 23]
Generated Node #2: [37, 37, 23] from Operation: 67-44=23
Current State: 23:[37, 37, 23], Operations: ['67-44=23']
Exploring Operation: 37-37=0, Resulting Numbers: [23, 0]
Generated Node #3: [23, 0] from Operation: 37-37=0
Current State: 23:[23, 0], Operations: ['67-44=23', '37-37=0']
Exploring Operation: 23+0=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| mult_heuristic |
[
72,
6,
79,
5
] | 19 | [
"72/6=12",
"5*12=60",
"79-60=19"
] | Current State: 19:[72, 6, 79, 5], Operations: []
Exploring Operation: 72-6=66, Resulting Numbers: [79, 5, 66]
Generated Node #0,0: 19:[79, 5, 66] Operation: 72-6=66
Exploring Operation: 79-72=7, Resulting Numbers: [6, 5, 7]
Generated Node #0,1: 19:[6, 5, 7] Operation: 79-72=7
Exploring Operation: 79-6=73, Resulting Numbers: [72, 5, 73]
Generated Node #0,2: 19:[72, 5, 73] Operation: 79-6=73
Exploring Operation: 72-5=67, Resulting Numbers: [6, 79, 67]
Generated Node #0,3: 19:[6, 79, 67] Operation: 72-5=67
Exploring Operation: 72/6=12, Resulting Numbers: [79, 5, 12]
Generated Node #0,4: 19:[79, 5, 12] Operation: 72/6=12
Moving to Node #0,1
Current State: 19:[6, 5, 7], Operations: ['79-72=7']
Exploring Operation: 6+5=11, Resulting Numbers: [7, 11]
Generated Node #0,1,0: 19:[7, 11] Operation: 6+5=11
Exploring Operation: 5+7=12, Resulting Numbers: [6, 12]
Generated Node #0,1,1: 19:[6, 12] Operation: 5+7=12
Exploring Operation: 5*7=35, Resulting Numbers: [6, 35]
Generated Node #0,1,2: 19:[6, 35] Operation: 5*7=35
Exploring Operation: 6*5=30, Resulting Numbers: [7, 30]
Generated Node #0,1,3: 19:[7, 30] Operation: 6*5=30
Exploring Operation: 6+7=13, Resulting Numbers: [5, 13]
Generated Node #0,1,4: 19:[5, 13] Operation: 6+7=13
Moving to Node #0,4
Current State: 19:[79, 5, 12], Operations: ['72/6=12']
Exploring Operation: 79-12=67, Resulting Numbers: [5, 67]
Generated Node #0,4,0: 19:[5, 67] Operation: 79-12=67
Exploring Operation: 5+12=17, Resulting Numbers: [79, 17]
Generated Node #0,4,1: 19:[79, 17] Operation: 5+12=17
Exploring Operation: 79-5=74, Resulting Numbers: [12, 74]
Generated Node #0,4,2: 19:[12, 74] Operation: 79-5=74
Exploring Operation: 12-5=7, Resulting Numbers: [79, 7]
Generated Node #0,4,3: 19:[79, 7] Operation: 12-5=7
Exploring Operation: 79+5=84, Resulting Numbers: [12, 84]
Generated Node #0,4,4: 19:[12, 84] Operation: 79+5=84
Moving to Node #0,0
Current State: 19:[79, 5, 66], Operations: ['72-6=66']
Exploring Operation: 79-5=74, Resulting Numbers: [66, 74]
Generated Node #0,0,0: 19:[66, 74] Operation: 79-5=74
Exploring Operation: 79+5=84, Resulting Numbers: [66, 84]
Generated Node #0,0,1: 19:[66, 84] Operation: 79+5=84
Exploring Operation: 66-5=61, Resulting Numbers: [79, 61]
Generated Node #0,0,2: 19:[79, 61] Operation: 66-5=61
Exploring Operation: 5+66=71, Resulting Numbers: [79, 71]
Generated Node #0,0,3: 19:[79, 71] Operation: 5+66=71
Exploring Operation: 79-66=13, Resulting Numbers: [5, 13]
Generated Node #0,0,4: 19:[5, 13] Operation: 79-66=13
Moving to Node #0,2
Current State: 19:[72, 5, 73], Operations: ['79-6=73']
Exploring Operation: 72+5=77, Resulting Numbers: [73, 77]
Generated Node #0,2,0: 19:[73, 77] Operation: 72+5=77
Exploring Operation: 72-5=67, Resulting Numbers: [73, 67]
Generated Node #0,2,1: 19:[73, 67] Operation: 72-5=67
Exploring Operation: 73-5=68, Resulting Numbers: [72, 68]
Generated Node #0,2,2: 19:[72, 68] Operation: 73-5=68
Exploring Operation: 5+73=78, Resulting Numbers: [72, 78]
Generated Node #0,2,3: 19:[72, 78] Operation: 5+73=78
Exploring Operation: 73-72=1, Resulting Numbers: [5, 1]
Generated Node #0,2,4: 19:[5, 1] Operation: 73-72=1
Moving to Node #0,3
Current State: 19:[6, 79, 67], Operations: ['72-5=67']
Exploring Operation: 67-6=61, Resulting Numbers: [79, 61]
Generated Node #0,3,0: 19:[79, 61] Operation: 67-6=61
Exploring Operation: 79-6=73, Resulting Numbers: [67, 73]
Generated Node #0,3,1: 19:[67, 73] Operation: 79-6=73
Exploring Operation: 6+67=73, Resulting Numbers: [79, 73]
Generated Node #0,3,2: 19:[79, 73] Operation: 6+67=73
Exploring Operation: 79-67=12, Resulting Numbers: [6, 12]
Generated Node #0,3,3: 19:[6, 12] Operation: 79-67=12
Exploring Operation: 6+79=85, Resulting Numbers: [67, 85]
Generated Node #0,3,4: 19:[67, 85] Operation: 6+79=85
Moving to Node #0,1,0
Current State: 19:[7, 11], Operations: ['79-72=7', '6+5=11']
Exploring Operation: 7*11=77, Resulting Numbers: [77]
77,19 unequal: No Solution
Exploring Operation: 7+11=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 11-7=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Moving to Node #0,1,4
Current State: 19:[5, 13], Operations: ['79-72=7', '6+7=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,19 unequal: No Solution
Moving to Node #0,1,1
Current State: 19:[6, 12], Operations: ['79-72=7', '5+7=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Moving to Node #0,0,4
Current State: 19:[5, 13], Operations: ['72-6=66', '79-66=13']
Exploring Operation: 5+13=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,19 unequal: No Solution
Exploring Operation: 13-5=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,3,3
Current State: 19:[6, 12], Operations: ['72-5=67', '79-67=12']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,19 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 19:[18], Operations: ['79-72=7', '6+5=11', '7+11=18']
Moving to Node #0,1,4,0
Current State: 19:[18], Operations: ['79-72=7', '6+7=13', '5+13=18']
Moving to Node #0,0,4,0
Current State: 19:[18], Operations: ['72-6=66', '79-66=13', '5+13=18']
Moving to Node #0,1,1,0
Current State: 19:[18], Operations: ['79-72=7', '5+7=12', '6+12=18']
Moving to Node #0,3,3,0
Current State: 19:[18], Operations: ['72-5=67', '79-67=12', '6+12=18']
Moving to Node #0,1,4,0
Current State: 19:[8], Operations: ['79-72=7', '6+7=13', '13-5=8']
Moving to Node #0,0,4,0
Current State: 19:[8], Operations: ['72-6=66', '79-66=13', '13-5=8']
Moving to Node #0,1,3
Current State: 19:[7, 30], Operations: ['79-72=7', '6*5=30']
Exploring Operation: 7+30=37, Resulting Numbers: [37]
37,19 unequal: No Solution
Exploring Operation: 7*30=210, Resulting Numbers: [210]
210,19 unequal: No Solution
Exploring Operation: 30-7=23, Resulting Numbers: [23]
23,19 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 19:[6], Operations: ['79-72=7', '5+7=12', '12-6=6']
Moving to Node #0,3,3,0
Current State: 19:[6], Operations: ['72-5=67', '79-67=12', '12-6=6']
Moving to Node #0,1,3,0
Current State: 19:[23], Operations: ['79-72=7', '6*5=30', '30-7=23']
Moving to Node #0,1,2
Current State: 19:[6, 35], Operations: ['79-72=7', '5*7=35']
Exploring Operation: 6*35=210, Resulting Numbers: [210]
210,19 unequal: No Solution
Exploring Operation: 35-6=29, Resulting Numbers: [29]
29,19 unequal: No Solution
Exploring Operation: 6+35=41, Resulting Numbers: [41]
41,19 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 19:[4], Operations: ['79-72=7', '6+5=11', '11-7=4']
Moving to Node #0,2,4
Current State: 19:[5, 1], Operations: ['79-6=73', '73-72=1']
Exploring Operation: 5/1=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Exploring Operation: 5+1=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 5-1=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 5*1=5, Resulting Numbers: [5]
5,19 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 19:[2], Operations: ['79-72=7', '5+7=12', '12/6=2']
Moving to Node #0,1,2,0
Current State: 19:[29], Operations: ['79-72=7', '5*7=35', '35-6=29']
Moving to Node #0,2,4,0
Current State: 19:[6], Operations: ['79-6=73', '73-72=1', '5+1=6']
Moving to Node #0,2,4,0
Current State: 19:[5], Operations: ['79-6=73', '73-72=1', '5/1=5']
Moving to Node #0,2,4,0
Current State: 19:[5], Operations: ['79-6=73', '73-72=1', '5*1=5']
Moving to Node #0,2,4,0
Current State: 19:[4], Operations: ['79-6=73', '73-72=1', '5-1=4']
Moving to Node #0,3,3,0
Current State: 19:[2], Operations: ['72-5=67', '79-67=12', '12/6=2']
Moving to Node #0,1,3,0
Current State: 19:[37], Operations: ['79-72=7', '6*5=30', '7+30=37']
Moving to Node #0,1,2,0
Current State: 19:[41], Operations: ['79-72=7', '5*7=35', '6+35=41']
Moving to Node #0,4,1
Current State: 19:[79, 17], Operations: ['72/6=12', '5+12=17']
Exploring Operation: 79+17=96, Resulting Numbers: [96]
96,19 unequal: No Solution
Exploring Operation: 79*17=1343, Resulting Numbers: [1343]
1343,19 unequal: No Solution
Exploring Operation: 79-17=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Moving to Node #0,4,0
Current State: 19:[5, 67], Operations: ['72/6=12', '79-12=67']
Exploring Operation: 5*67=335, Resulting Numbers: [335]
335,19 unequal: No Solution
Exploring Operation: 67-5=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 5+67=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Moving to Node #0,4,2
Current State: 19:[12, 74], Operations: ['72/6=12', '79-5=74']
Exploring Operation: 12*74=888, Resulting Numbers: [888]
888,19 unequal: No Solution
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,19 unequal: No Solution
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,19 unequal: No Solution
Moving to Node #0,4,4
Current State: 19:[12, 84], Operations: ['72/6=12', '79+5=84']
Exploring Operation: 84/12=7, Resulting Numbers: [7]
7,19 unequal: No Solution
Exploring Operation: 12*84=1008, Resulting Numbers: [1008]
1008,19 unequal: No Solution
Exploring Operation: 12+84=96, Resulting Numbers: [96]
96,19 unequal: No Solution
Exploring Operation: 84-12=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Moving to Node #0,4,3
Current State: 19:[79, 7], Operations: ['72/6=12', '12-5=7']
Exploring Operation: 79+7=86, Resulting Numbers: [86]
86,19 unequal: No Solution
Exploring Operation: 79-7=72, Resulting Numbers: [72]
72,19 unequal: No Solution
Exploring Operation: 79*7=553, Resulting Numbers: [553]
553,19 unequal: No Solution
Moving to Node #0,4,0,0
Current State: 19:[62], Operations: ['72/6=12', '79-12=67', '67-5=62']
Moving to Node #0,4,1,0
Current State: 19:[62], Operations: ['72/6=12', '5+12=17', '79-17=62']
Moving to Node #0,4,4,0
Current State: 19:[7], Operations: ['72/6=12', '79+5=84', '84/12=7']
Moving to Node #0,4,2,0
Current State: 19:[62], Operations: ['72/6=12', '79-5=74', '74-12=62']
Moving to Node #0,0,4,0
Current State: 19:[65], Operations: ['72-6=66', '79-66=13', '5*13=65']
Moving to Node #0,1,4,0
Current State: 19:[65], Operations: ['79-72=7', '6+7=13', '5*13=65']
Moving to Node #0,3,1
Current State: 19:[67, 73], Operations: ['72-5=67', '79-6=73']
Exploring Operation: 67+73=140, Resulting Numbers: [140]
140,19 unequal: No Solution
Exploring Operation: 67*73=4891, Resulting Numbers: [4891]
4891,19 unequal: No Solution
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Moving to Node #0,3,1,0
Current State: 19:[6], Operations: ['72-5=67', '79-6=73', '73-67=6']
Moving to Node #0,2,2
Current State: 19:[72, 68], Operations: ['79-6=73', '73-5=68']
Exploring Operation: 72+68=140, Resulting Numbers: [140]
140,19 unequal: No Solution
Exploring Operation: 72*68=4896, Resulting Numbers: [4896]
4896,19 unequal: No Solution
Exploring Operation: 72-68=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Moving to Node #0,0,0
Current State: 19:[66, 74], Operations: ['72-6=66', '79-5=74']
Exploring Operation: 66*74=4884, Resulting Numbers: [4884]
4884,19 unequal: No Solution
Exploring Operation: 74-66=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Exploring Operation: 66+74=140, Resulting Numbers: [140]
140,19 unequal: No Solution
Moving to Node #0,3,0
Current State: 19:[79, 61], Operations: ['72-5=67', '67-6=61']
Exploring Operation: 79*61=4819, Resulting Numbers: [4819]
4819,19 unequal: No Solution
Exploring Operation: 79+61=140, Resulting Numbers: [140]
140,19 unequal: No Solution
Exploring Operation: 79-61=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Moving to Node #0,0,2
Current State: 19:[79, 61], Operations: ['72-6=66', '66-5=61']
Exploring Operation: 79+61=140, Resulting Numbers: [140]
140,19 unequal: No Solution
Exploring Operation: 79*61=4819, Resulting Numbers: [4819]
4819,19 unequal: No Solution
Exploring Operation: 79-61=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Moving to Node #0,3,0,0
Current State: 19:[18], Operations: ['72-5=67', '67-6=61', '79-61=18']
Moving to Node #0,0,2,0
Current State: 19:[18], Operations: ['72-6=66', '66-5=61', '79-61=18']
Moving to Node #0,0,0,0
Current State: 19:[8], Operations: ['72-6=66', '79-5=74', '74-66=8']
Moving to Node #0,2,2,0
Current State: 19:[4], Operations: ['79-6=73', '73-5=68', '72-68=4']
Moving to Node #0,2,1
Current State: 19:[73, 67], Operations: ['79-6=73', '72-5=67']
Exploring Operation: 73*67=4891, Resulting Numbers: [4891]
4891,19 unequal: No Solution
Exploring Operation: 73-67=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 73+67=140, Resulting Numbers: [140]
140,19 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 19:[6], Operations: ['79-6=73', '72-5=67', '73-67=6']
Moving to Node #0,4,3,0
Current State: 19:[72], Operations: ['72/6=12', '12-5=7', '79-7=72']
Moving to Node #0,4,4,0
Current State: 19:[72], Operations: ['72/6=12', '79+5=84', '84-12=72']
Moving to Node #0,4,0,0
Current State: 19:[72], Operations: ['72/6=12', '79-12=67', '5+67=72']
Moving to Node #0,3,3,0
Current State: 19:[72], Operations: ['72-5=67', '79-67=12', '6*12=72']
Moving to Node #0,1,1,0
Current State: 19:[72], Operations: ['79-72=7', '5+7=12', '6*12=72']
Moving to Node #0,0,3
Current State: 19:[79, 71], Operations: ['72-6=66', '5+66=71']
Exploring Operation: 79+71=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Exploring Operation: 79*71=5609, Resulting Numbers: [5609]
5609,19 unequal: No Solution
Exploring Operation: 79-71=8, Resulting Numbers: [8]
8,19 unequal: No Solution
Moving to Node #0,2,3
Current State: 19:[72, 78], Operations: ['79-6=73', '5+73=78']
Exploring Operation: 78-72=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Exploring Operation: 72*78=5616, Resulting Numbers: [5616]
5616,19 unequal: No Solution
Exploring Operation: 72+78=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Moving to Node #0,0,1
Current State: 19:[66, 84], Operations: ['72-6=66', '79+5=84']
Exploring Operation: 66*84=5544, Resulting Numbers: [5544]
5544,19 unequal: No Solution
Exploring Operation: 84-66=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Exploring Operation: 66+84=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Moving to Node #0,2,0
Current State: 19:[73, 77], Operations: ['79-6=73', '72+5=77']
Exploring Operation: 77-73=4, Resulting Numbers: [4]
4,19 unequal: No Solution
Exploring Operation: 73+77=150, Resulting Numbers: [150]
150,19 unequal: No Solution
Exploring Operation: 73*77=5621, Resulting Numbers: [5621]
5621,19 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 19:[18], Operations: ['72-6=66', '79+5=84', '84-66=18']
Moving to Node #0,0,3,0
Current State: 19:[8], Operations: ['72-6=66', '5+66=71', '79-71=8']
Moving to Node #0,2,3,0
Current State: 19:[6], Operations: ['79-6=73', '5+73=78', '78-72=6']
Moving to Node #0,2,0,0
Current State: 19:[4], Operations: ['79-6=73', '72+5=77', '77-73=4']
Moving to Node #0,3,4
Current State: 19:[67, 85], Operations: ['72-5=67', '6+79=85']
Exploring Operation: 67*85=5695, Resulting Numbers: [5695]
5695,19 unequal: No Solution
Exploring Operation: 67+85=152, Resulting Numbers: [152]
152,19 unequal: No Solution
Exploring Operation: 85-67=18, Resulting Numbers: [18]
18,19 unequal: No Solution
Moving to Node #0,3,4,0
Current State: 19:[18], Operations: ['72-5=67', '6+79=85', '85-67=18']
Moving to Node #0,3,2
Current State: 19:[79, 73], Operations: ['72-5=67', '6+67=73']
Exploring Operation: 79+73=152, Resulting Numbers: [152]
152,19 unequal: No Solution
Exploring Operation: 79*73=5767, Resulting Numbers: [5767]
5767,19 unequal: No Solution
Exploring Operation: 79-73=6, Resulting Numbers: [6]
6,19 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 19:[77], Operations: ['79-72=7', '6+5=11', '7*11=77']
Moving to Node #0,4,2,0
Current State: 19:[86], Operations: ['72/6=12', '79-5=74', '12+74=86']
Moving to Node #0,4,3,0
Current State: 19:[86], Operations: ['72/6=12', '12-5=7', '79+7=86']
Moving to Node #0,3,2,0
Current State: 19:[6], Operations: ['72-5=67', '6+67=73', '79-73=6']
Moving to Node #0,4,1,0
Current State: 19:[96], Operations: ['72/6=12', '5+12=17', '79+17=96']
Moving to Node #0,4,4,0
Current State: 19:[96], Operations: ['72/6=12', '79+5=84', '12+84=96']
Moving to Node #0,0,0,0
Current State: 19:[140], Operations: ['72-6=66', '79-5=74', '66+74=140']
Moving to Node #0,3,1,0
Current State: 19:[140], Operations: ['72-5=67', '79-6=73', '67+73=140']
Moving to Node #0,2,2,0
Current State: 19:[140], Operations: ['79-6=73', '73-5=68', '72+68=140']
Moving to Node #0,0,2,0
Current State: 19:[140], Operations: ['72-6=66', '66-5=61', '79+61=140']
Moving to Node #0,2,1,0
Current State: 19:[140], Operations: ['79-6=73', '72-5=67', '73+67=140']
Moving to Node #0,3,0,0
Current State: 19:[140], Operations: ['72-5=67', '67-6=61', '79+61=140']
Moving to Node #0,2,3,0
Current State: 19:[150], Operations: ['79-6=73', '5+73=78', '72+78=150']
Moving to Node #0,0,3,0
Current State: 19:[150], Operations: ['72-6=66', '5+66=71', '79+71=150']
Moving to Node #0,2,0,0
Current State: 19:[150], Operations: ['79-6=73', '72+5=77', '73+77=150']
Moving to Node #0,0,1,0
Current State: 19:[150], Operations: ['72-6=66', '79+5=84', '66+84=150']
Moving to Node #0,3,2,0
Current State: 19:[152], Operations: ['72-5=67', '6+67=73', '79+73=152']
Moving to Node #0,3,4,0
Current State: 19:[152], Operations: ['72-5=67', '6+79=85', '67+85=152']
Moving to Node #0,1,3,0
Current State: 19:[210], Operations: ['79-72=7', '6*5=30', '7*30=210']
Moving to Node #0,1,2,0
Current State: 19:[210], Operations: ['79-72=7', '5*7=35', '6*35=210']
Moving to Node #0,4,0,0
Current State: 19:[335], Operations: ['72/6=12', '79-12=67', '5*67=335']
Moving to Node #0,4,3,0
Current State: 19:[553], Operations: ['72/6=12', '12-5=7', '79*7=553']
Moving to Node #0,4,2,0
Current State: 19:[888], Operations: ['72/6=12', '79-5=74', '12*74=888']
Moving to Node #0,4,4,0
Current State: 19:[1008], Operations: ['72/6=12', '79+5=84', '12*84=1008']
Moving to Node #0,4,1,0
Current State: 19:[1343], Operations: ['72/6=12', '5+12=17', '79*17=1343']
Moving to Node #0,0,2,0
Current State: 19:[4819], Operations: ['72-6=66', '66-5=61', '79*61=4819']
Moving to Node #0,3,0,0
Current State: 19:[4819], Operations: ['72-5=67', '67-6=61', '79*61=4819']
Moving to Node #0,0,0,0
Current State: 19:[4884], Operations: ['72-6=66', '79-5=74', '66*74=4884']
Moving to Node #0,2,1,0
Current State: 19:[4891], Operations: ['79-6=73', '72-5=67', '73*67=4891']
Moving to Node #0,3,1,0
Current State: 19:[4891], Operations: ['72-5=67', '79-6=73', '67*73=4891']
Moving to Node #0,2,2,0
Current State: 19:[4896], Operations: ['79-6=73', '73-5=68', '72*68=4896']
Moving to Node #0,0,1,0
Current State: 19:[5544], Operations: ['72-6=66', '79+5=84', '66*84=5544']
Moving to Node #0,0,3,0
Current State: 19:[5609], Operations: ['72-6=66', '5+66=71', '79*71=5609']
Moving to Node #0,2,3,0
Current State: 19:[5616], Operations: ['79-6=73', '5+73=78', '72*78=5616']
Moving to Node #0,2,0,0
Current State: 19:[5621], Operations: ['79-6=73', '72+5=77', '73*77=5621']
Moving to Node #0,3,4,0
Current State: 19:[5695], Operations: ['72-5=67', '6+79=85', '67*85=5695']
Moving to Node #0,3,2,0
Current State: 19:[5767], Operations: ['72-5=67', '6+67=73', '79*73=5767']
No solution found. | 0 | bfs_5 | Current State: 19:[72, 6, 79, 5], Operations: []
Exploring Operation: 72/6=12, Resulting Numbers: [79, 5, 12]
Generated Node #2: [79, 5, 12] from Operation: 72/6=12
Current State: 19:[79, 5, 12], Operations: ['72/6=12']
Exploring Operation: 5*12=60, Resulting Numbers: [79, 60]
Generated Node #3: [79, 60] from Operation: 5*12=60
Current State: 19:[79, 60], Operations: ['72/6=12', '5*12=60']
Exploring Operation: 79-60=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| sum_heuristic |
[
32,
91,
96,
50
] | 90 | [
"50-32=18",
"96-91=5",
"18*5=90"
] | Current State: 90:[32, 91, 96, 50], Operations: []
Exploring Operation: 96-50=46, Resulting Numbers: [32, 91, 46]
Generated Node #0,0: 90:[32, 91, 46] Operation: 96-50=46
Moving to Node #0,0
Current State: 90:[32, 91, 46], Operations: ['96-50=46']
Exploring Operation: 46-32=14, Resulting Numbers: [91, 14]
Generated Node #0,0,0: 90:[91, 14] Operation: 46-32=14
Moving to Node #0,0,0
Current State: 90:[91, 14], Operations: ['96-50=46', '46-32=14']
Exploring Operation: 91-14=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,0,0
Current State: 90:[91, 14], Operations: ['96-50=46', '46-32=14']
Exploring Operation: 91+14=105, Resulting Numbers: [105]
105,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[32, 91, 46], Operations: ['96-50=46']
Exploring Operation: 91-46=45, Resulting Numbers: [32, 45]
Generated Node #0,0,1: 90:[32, 45] Operation: 91-46=45
Moving to Node #0,0,1
Current State: 90:[32, 45], Operations: ['96-50=46', '91-46=45']
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Moving to Node #0,0,1
Current State: 90:[32, 45], Operations: ['96-50=46', '91-46=45']
Exploring Operation: 32+45=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[32, 91, 46], Operations: ['96-50=46']
Exploring Operation: 32+46=78, Resulting Numbers: [91, 78]
Generated Node #0,0,2: 90:[91, 78] Operation: 32+46=78
Moving to Node #0,0,2
Current State: 90:[91, 78], Operations: ['96-50=46', '32+46=78']
Exploring Operation: 91-78=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Moving to Node #0,0,2
Current State: 90:[91, 78], Operations: ['96-50=46', '32+46=78']
Exploring Operation: 91+78=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[32, 91, 46], Operations: ['96-50=46']
Exploring Operation: 91-32=59, Resulting Numbers: [46, 59]
Generated Node #0,0,3: 90:[46, 59] Operation: 91-32=59
Moving to Node #0,0,3
Current State: 90:[46, 59], Operations: ['96-50=46', '91-32=59']
Exploring Operation: 59-46=13, Resulting Numbers: [13]
13,90 unequal: No Solution
Moving to Node #0,0,3
Current State: 90:[46, 59], Operations: ['96-50=46', '91-32=59']
Exploring Operation: 46+59=105, Resulting Numbers: [105]
105,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[32, 91, 46], Operations: ['96-50=46']
Exploring Operation: 32+91=123, Resulting Numbers: [46, 123]
Generated Node #0,0,4: 90:[46, 123] Operation: 32+91=123
Moving to Node #0,0,4
Current State: 90:[46, 123], Operations: ['96-50=46', '32+91=123']
Exploring Operation: 123-46=77, Resulting Numbers: [77]
77,90 unequal: No Solution
Moving to Node #0,0,4
Current State: 90:[46, 123], Operations: ['96-50=46', '32+91=123']
Exploring Operation: 46+123=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Moving to Node #0,0
Current State: 90:[32, 91, 46], Operations: ['96-50=46']
Exploring Operation: 91+46=137, Resulting Numbers: [32, 137]
Generated Node #0,0,5: 90:[32, 137] Operation: 91+46=137
Moving to Node #0,0,5
Current State: 90:[32, 137], Operations: ['96-50=46', '91+46=137']
Exploring Operation: 137-32=105, Resulting Numbers: [105]
105,90 unequal: No Solution
Moving to Node #0,0,5
Current State: 90:[32, 137], Operations: ['96-50=46', '91+46=137']
Exploring Operation: 32+137=169, Resulting Numbers: [169]
169,90 unequal: No Solution
Moving to Node #0
Current State: 90:[32, 91, 96, 50], Operations: []
Exploring Operation: 96/32=3, Resulting Numbers: [91, 50, 3]
Generated Node #0,1: 90:[91, 50, 3] Operation: 96/32=3
Moving to Node #0,1
Current State: 90:[91, 50, 3], Operations: ['96/32=3']
Exploring Operation: 50-3=47, Resulting Numbers: [91, 47]
Generated Node #0,1,0: 90:[91, 47] Operation: 50-3=47
Moving to Node #0,1,0
Current State: 90:[91, 47], Operations: ['96/32=3', '50-3=47']
Exploring Operation: 91-47=44, Resulting Numbers: [44]
44,90 unequal: No Solution
Moving to Node #0,1,0
Current State: 90:[91, 47], Operations: ['96/32=3', '50-3=47']
Exploring Operation: 91+47=138, Resulting Numbers: [138]
138,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[91, 50, 3], Operations: ['96/32=3']
Exploring Operation: 91-50=41, Resulting Numbers: [3, 41]
Generated Node #0,1,1: 90:[3, 41] Operation: 91-50=41
Moving to Node #0,1,1
Current State: 90:[3, 41], Operations: ['96/32=3', '91-50=41']
Exploring Operation: 3+41=44, Resulting Numbers: [44]
44,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[3, 41], Operations: ['96/32=3', '91-50=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,90 unequal: No Solution
Moving to Node #0,1,1
Current State: 90:[3, 41], Operations: ['96/32=3', '91-50=41']
Exploring Operation: 3*41=123, Resulting Numbers: [123]
123,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[91, 50, 3], Operations: ['96/32=3']
Exploring Operation: 91-3=88, Resulting Numbers: [50, 88]
Generated Node #0,1,2: 90:[50, 88] Operation: 91-3=88
Moving to Node #0,1,2
Current State: 90:[50, 88], Operations: ['96/32=3', '91-3=88']
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,90 unequal: No Solution
Moving to Node #0,1,2
Current State: 90:[50, 88], Operations: ['96/32=3', '91-3=88']
Exploring Operation: 50+88=138, Resulting Numbers: [138]
138,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[91, 50, 3], Operations: ['96/32=3']
Exploring Operation: 91+3=94, Resulting Numbers: [50, 94]
Generated Node #0,1,3: 90:[50, 94] Operation: 91+3=94
Moving to Node #0,1,3
Current State: 90:[50, 94], Operations: ['96/32=3', '91+3=94']
Exploring Operation: 94-50=44, Resulting Numbers: [44]
44,90 unequal: No Solution
Moving to Node #0,1,3
Current State: 90:[50, 94], Operations: ['96/32=3', '91+3=94']
Exploring Operation: 50+94=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[91, 50, 3], Operations: ['96/32=3']
Exploring Operation: 50+3=53, Resulting Numbers: [91, 53]
Generated Node #0,1,4: 90:[91, 53] Operation: 50+3=53
Moving to Node #0,1,4
Current State: 90:[91, 53], Operations: ['96/32=3', '50+3=53']
Exploring Operation: 91-53=38, Resulting Numbers: [38]
38,90 unequal: No Solution
Moving to Node #0,1,4
Current State: 90:[91, 53], Operations: ['96/32=3', '50+3=53']
Exploring Operation: 91+53=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[91, 50, 3], Operations: ['96/32=3']
Exploring Operation: 91+50=141, Resulting Numbers: [3, 141]
Generated Node #0,1,5: 90:[3, 141] Operation: 91+50=141
Moving to Node #0,1,5
Current State: 90:[3, 141], Operations: ['96/32=3', '91+50=141']
Exploring Operation: 141/3=47, Resulting Numbers: [47]
47,90 unequal: No Solution
Moving to Node #0,1,5
Current State: 90:[3, 141], Operations: ['96/32=3', '91+50=141']
Exploring Operation: 141-3=138, Resulting Numbers: [138]
138,90 unequal: No Solution
Moving to Node #0,1,5
Current State: 90:[3, 141], Operations: ['96/32=3', '91+50=141']
Exploring Operation: 3+141=144, Resulting Numbers: [144]
144,90 unequal: No Solution
Moving to Node #0,1
Current State: 90:[91, 50, 3], Operations: ['96/32=3']
Exploring Operation: 50*3=150, Resulting Numbers: [91, 150]
Generated Node #0,1,6: 90:[91, 150] Operation: 50*3=150
Moving to Node #0,1,6
Current State: 90:[91, 150], Operations: ['96/32=3', '50*3=150']
Exploring Operation: 150-91=59, Resulting Numbers: [59]
59,90 unequal: No Solution
Moving to Node #0
Current State: 90:[32, 91, 96, 50], Operations: []
Exploring Operation: 50-32=18, Resulting Numbers: [91, 96, 18]
Generated Node #0,2: 90:[91, 96, 18] Operation: 50-32=18
Moving to Node #0,2
Current State: 90:[91, 96, 18], Operations: ['50-32=18']
Exploring Operation: 96-91=5, Resulting Numbers: [18, 5]
Generated Node #0,2,0: 90:[18, 5] Operation: 96-91=5
Moving to Node #0,2,0
Current State: 90:[18, 5], Operations: ['50-32=18', '96-91=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 0.960069 | dfs | Current State: 90:[32, 91, 96, 50], Operations: []
Exploring Operation: 50-32=18, Resulting Numbers: [91, 96, 18]
Generated Node #2: [91, 96, 18] from Operation: 50-32=18
Current State: 90:[91, 96, 18], Operations: ['50-32=18']
Exploring Operation: 96-91=5, Resulting Numbers: [18, 5]
Generated Node #3: [18, 5] from Operation: 96-91=5
Current State: 90:[18, 5], Operations: ['50-32=18', '96-91=5']
Exploring Operation: 18*5=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| mult_heuristic |
[
83,
22,
40,
54
] | 33 | [
"83-22=61",
"40+54=94",
"94-61=33"
] | Current State: 33:[83, 22, 40, 54], Operations: []
Exploring Operation: 83-54=29, Resulting Numbers: [22, 40, 29]
Generated Node #0,0: 33:[22, 40, 29] Operation: 83-54=29
Moving to Node #0,0
Current State: 33:[22, 40, 29], Operations: ['83-54=29']
Exploring Operation: 40-22=18, Resulting Numbers: [29, 18]
Generated Node #0,0,0: 33:[29, 18] Operation: 40-22=18
Moving to Node #0,0,0
Current State: 33:[29, 18], Operations: ['83-54=29', '40-22=18']
Exploring Operation: 29+18=47, Resulting Numbers: [47]
47,33 unequal: No Solution
Moving to Node #0,0,0
Current State: 33:[29, 18], Operations: ['83-54=29', '40-22=18']
Exploring Operation: 29-18=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Moving to Node #0,0
Current State: 33:[22, 40, 29], Operations: ['83-54=29']
Exploring Operation: 22+29=51, Resulting Numbers: [40, 51]
Generated Node #0,0,1: 33:[40, 51] Operation: 22+29=51
Moving to Node #0,0,1
Current State: 33:[40, 51], Operations: ['83-54=29', '22+29=51']
Exploring Operation: 51-40=11, Resulting Numbers: [11]
11,33 unequal: No Solution
Moving to Node #0,0
Current State: 33:[22, 40, 29], Operations: ['83-54=29']
Exploring Operation: 22+40=62, Resulting Numbers: [29, 62]
Generated Node #0,0,2: 33:[29, 62] Operation: 22+40=62
Moving to Node #0,0,2
Current State: 33:[29, 62], Operations: ['83-54=29', '22+40=62']
Exploring Operation: 62-29=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 0.992188 | dfs | Current State: 33:[83, 22, 40, 54], Operations: []
Exploring Operation: 83-22=61, Resulting Numbers: [40, 54, 61]
Generated Node #2: [40, 54, 61] from Operation: 83-22=61
Current State: 33:[40, 54, 61], Operations: ['83-22=61']
Exploring Operation: 40+54=94, Resulting Numbers: [61, 94]
Generated Node #3: [61, 94] from Operation: 40+54=94
Current State: 33:[61, 94], Operations: ['83-22=61', '40+54=94']
Exploring Operation: 94-61=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| sum_heuristic |
[
23,
39,
15,
27
] | 25 | [
"39+15=54",
"54/27=2",
"23+2=25"
] | Current State: 25:[23, 39, 15, 27], Operations: []
Exploring Operation: 39-15=24, Resulting Numbers: [23, 27, 24]
Generated Node #0,0: 25:[23, 27, 24] Operation: 39-15=24
Moving to Node #0,0
Current State: 25:[23, 27, 24], Operations: ['39-15=24']
Exploring Operation: 27-23=4, Resulting Numbers: [24, 4]
Generated Node #0,0,0: 25:[24, 4] Operation: 27-23=4
Moving to Node #0,0,0
Current State: 25:[24, 4], Operations: ['39-15=24', '27-23=4']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[24, 4], Operations: ['39-15=24', '27-23=4']
Exploring Operation: 24+4=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,0,0
Current State: 25:[24, 4], Operations: ['39-15=24', '27-23=4']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,0
Current State: 25:[23, 27, 24], Operations: ['39-15=24']
Exploring Operation: 27-24=3, Resulting Numbers: [23, 3]
Generated Node #0,0,1: 25:[23, 3] Operation: 27-24=3
Moving to Node #0,0,1
Current State: 25:[23, 3], Operations: ['39-15=24', '27-24=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,0,1
Current State: 25:[23, 3], Operations: ['39-15=24', '27-24=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,0
Current State: 25:[23, 27, 24], Operations: ['39-15=24']
Exploring Operation: 24-23=1, Resulting Numbers: [27, 1]
Generated Node #0,0,2: 25:[27, 1] Operation: 24-23=1
Moving to Node #0,0,2
Current State: 25:[27, 1], Operations: ['39-15=24', '24-23=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[27, 1], Operations: ['39-15=24', '24-23=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[27, 1], Operations: ['39-15=24', '24-23=1']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Moving to Node #0,0,2
Current State: 25:[27, 1], Operations: ['39-15=24', '24-23=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,0
Current State: 25:[23, 27, 24], Operations: ['39-15=24']
Exploring Operation: 23+24=47, Resulting Numbers: [27, 47]
Generated Node #0,0,3: 25:[27, 47] Operation: 23+24=47
Moving to Node #0,0,3
Current State: 25:[27, 47], Operations: ['39-15=24', '23+24=47']
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0
Current State: 25:[23, 39, 15, 27], Operations: []
Exploring Operation: 23-15=8, Resulting Numbers: [39, 27, 8]
Generated Node #0,1: 25:[39, 27, 8] Operation: 23-15=8
Moving to Node #0,1
Current State: 25:[39, 27, 8], Operations: ['23-15=8']
Exploring Operation: 39-8=31, Resulting Numbers: [27, 31]
Generated Node #0,1,0: 25:[27, 31] Operation: 39-8=31
Moving to Node #0,1,0
Current State: 25:[27, 31], Operations: ['23-15=8', '39-8=31']
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,1
Current State: 25:[39, 27, 8], Operations: ['23-15=8']
Exploring Operation: 39-27=12, Resulting Numbers: [8, 12]
Generated Node #0,1,1: 25:[8, 12] Operation: 39-27=12
Moving to Node #0,1,1
Current State: 25:[8, 12], Operations: ['23-15=8', '39-27=12']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[8, 12], Operations: ['23-15=8', '39-27=12']
Exploring Operation: 8+12=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,1
Current State: 25:[39, 27, 8], Operations: ['23-15=8']
Exploring Operation: 27-8=19, Resulting Numbers: [39, 19]
Generated Node #0,1,2: 25:[39, 19] Operation: 27-8=19
Moving to Node #0,1,2
Current State: 25:[39, 19], Operations: ['23-15=8', '27-8=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,1
Current State: 25:[39, 27, 8], Operations: ['23-15=8']
Exploring Operation: 39+8=47, Resulting Numbers: [27, 47]
Generated Node #0,1,3: 25:[27, 47] Operation: 39+8=47
Moving to Node #0,1,3
Current State: 25:[27, 47], Operations: ['23-15=8', '39+8=47']
Exploring Operation: 47-27=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,1
Current State: 25:[39, 27, 8], Operations: ['23-15=8']
Exploring Operation: 27+8=35, Resulting Numbers: [39, 35]
Generated Node #0,1,4: 25:[39, 35] Operation: 27+8=35
Moving to Node #0,1,4
Current State: 25:[39, 35], Operations: ['23-15=8', '27+8=35']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0
Current State: 25:[23, 39, 15, 27], Operations: []
Exploring Operation: 39-27=12, Resulting Numbers: [23, 15, 12]
Generated Node #0,2: 25:[23, 15, 12] Operation: 39-27=12
Moving to Node #0,2
Current State: 25:[23, 15, 12], Operations: ['39-27=12']
Exploring Operation: 15+12=27, Resulting Numbers: [23, 27]
Generated Node #0,2,0: 25:[23, 27] Operation: 15+12=27
Moving to Node #0,2,0
Current State: 25:[23, 27], Operations: ['39-27=12', '15+12=27']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,2,0
Current State: 25:[23, 27], Operations: ['39-27=12', '15+12=27']
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,2
Current State: 25:[23, 15, 12], Operations: ['39-27=12']
Exploring Operation: 15-12=3, Resulting Numbers: [23, 3]
Generated Node #0,2,1: 25:[23, 3] Operation: 15-12=3
Moving to Node #0,2,1
Current State: 25:[23, 3], Operations: ['39-27=12', '15-12=3']
Exploring Operation: 23+3=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,2,1
Current State: 25:[23, 3], Operations: ['39-27=12', '15-12=3']
Exploring Operation: 23-3=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,2
Current State: 25:[23, 15, 12], Operations: ['39-27=12']
Exploring Operation: 23-15=8, Resulting Numbers: [12, 8]
Generated Node #0,2,2: 25:[12, 8] Operation: 23-15=8
Moving to Node #0,2,2
Current State: 25:[12, 8], Operations: ['39-27=12', '23-15=8']
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,2,2
Current State: 25:[12, 8], Operations: ['39-27=12', '23-15=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,2
Current State: 25:[23, 15, 12], Operations: ['39-27=12']
Exploring Operation: 23-12=11, Resulting Numbers: [15, 11]
Generated Node #0,2,3: 25:[15, 11] Operation: 23-12=11
Moving to Node #0,2,3
Current State: 25:[15, 11], Operations: ['39-27=12', '23-12=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,2,3
Current State: 25:[15, 11], Operations: ['39-27=12', '23-12=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,2
Current State: 25:[23, 15, 12], Operations: ['39-27=12']
Exploring Operation: 23+15=38, Resulting Numbers: [12, 38]
Generated Node #0,2,4: 25:[12, 38] Operation: 23+15=38
Moving to Node #0,2,4
Current State: 25:[12, 38], Operations: ['39-27=12', '23+15=38']
Exploring Operation: 38-12=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,2,4
Current State: 25:[12, 38], Operations: ['39-27=12', '23+15=38']
Exploring Operation: 12+38=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,2
Current State: 25:[23, 15, 12], Operations: ['39-27=12']
Exploring Operation: 23+12=35, Resulting Numbers: [15, 35]
Generated Node #0,2,5: 25:[15, 35] Operation: 23+12=35
Moving to Node #0,2,5
Current State: 25:[15, 35], Operations: ['39-27=12', '23+12=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,2,5
Current State: 25:[15, 35], Operations: ['39-27=12', '23+12=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0
Current State: 25:[23, 39, 15, 27], Operations: []
Exploring Operation: 39-23=16, Resulting Numbers: [15, 27, 16]
Generated Node #0,3: 25:[15, 27, 16] Operation: 39-23=16
Moving to Node #0,3
Current State: 25:[15, 27, 16], Operations: ['39-23=16']
Exploring Operation: 16-15=1, Resulting Numbers: [27, 1]
Generated Node #0,3,0: 25:[27, 1] Operation: 16-15=1
Moving to Node #0,3,0
Current State: 25:[27, 1], Operations: ['39-23=16', '16-15=1']
Exploring Operation: 27-1=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[27, 1], Operations: ['39-23=16', '16-15=1']
Exploring Operation: 27*1=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[27, 1], Operations: ['39-23=16', '16-15=1']
Exploring Operation: 27/1=27, Resulting Numbers: [27]
27,25 unequal: No Solution
Moving to Node #0,3,0
Current State: 25:[27, 1], Operations: ['39-23=16', '16-15=1']
Exploring Operation: 27+1=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,3
Current State: 25:[15, 27, 16], Operations: ['39-23=16']
Exploring Operation: 15+16=31, Resulting Numbers: [27, 31]
Generated Node #0,3,1: 25:[27, 31] Operation: 15+16=31
Moving to Node #0,3,1
Current State: 25:[27, 31], Operations: ['39-23=16', '15+16=31']
Exploring Operation: 31-27=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,3
Current State: 25:[15, 27, 16], Operations: ['39-23=16']
Exploring Operation: 27-15=12, Resulting Numbers: [16, 12]
Generated Node #0,3,2: 25:[16, 12] Operation: 27-15=12
Moving to Node #0,3,2
Current State: 25:[16, 12], Operations: ['39-23=16', '27-15=12']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,3,2
Current State: 25:[16, 12], Operations: ['39-23=16', '27-15=12']
Exploring Operation: 16+12=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,3
Current State: 25:[15, 27, 16], Operations: ['39-23=16']
Exploring Operation: 27-16=11, Resulting Numbers: [15, 11]
Generated Node #0,3,3: 25:[15, 11] Operation: 27-16=11
Moving to Node #0,3,3
Current State: 25:[15, 11], Operations: ['39-23=16', '27-16=11']
Exploring Operation: 15+11=26, Resulting Numbers: [26]
26,25 unequal: No Solution
Moving to Node #0,3,3
Current State: 25:[15, 11], Operations: ['39-23=16', '27-16=11']
Exploring Operation: 15-11=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0
Current State: 25:[23, 39, 15, 27], Operations: []
Exploring Operation: 27-15=12, Resulting Numbers: [23, 39, 12]
Generated Node #0,4: 25:[23, 39, 12] Operation: 27-15=12
Moving to Node #0,4
Current State: 25:[23, 39, 12], Operations: ['27-15=12']
Exploring Operation: 39-12=27, Resulting Numbers: [23, 27]
Generated Node #0,4,0: 25:[23, 27] Operation: 39-12=27
Moving to Node #0,4,0
Current State: 25:[23, 27], Operations: ['27-15=12', '39-12=27']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,4,0
Current State: 25:[23, 27], Operations: ['27-15=12', '39-12=27']
Exploring Operation: 23+27=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,4
Current State: 25:[23, 39, 12], Operations: ['27-15=12']
Exploring Operation: 39-23=16, Resulting Numbers: [12, 16]
Generated Node #0,4,1: 25:[12, 16] Operation: 39-23=16
Moving to Node #0,4,1
Current State: 25:[12, 16], Operations: ['27-15=12', '39-23=16']
Exploring Operation: 16-12=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0,4,1
Current State: 25:[12, 16], Operations: ['27-15=12', '39-23=16']
Exploring Operation: 12+16=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,4
Current State: 25:[23, 39, 12], Operations: ['27-15=12']
Exploring Operation: 23-12=11, Resulting Numbers: [39, 11]
Generated Node #0,4,2: 25:[39, 11] Operation: 23-12=11
Moving to Node #0,4,2
Current State: 25:[39, 11], Operations: ['27-15=12', '23-12=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,4,2
Current State: 25:[39, 11], Operations: ['27-15=12', '23-12=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,4
Current State: 25:[23, 39, 12], Operations: ['27-15=12']
Exploring Operation: 23+12=35, Resulting Numbers: [39, 35]
Generated Node #0,4,3: 25:[39, 35] Operation: 23+12=35
Moving to Node #0,4,3
Current State: 25:[39, 35], Operations: ['27-15=12', '23+12=35']
Exploring Operation: 39-35=4, Resulting Numbers: [4]
4,25 unequal: No Solution
Moving to Node #0
Current State: 25:[23, 39, 15, 27], Operations: []
Exploring Operation: 27-23=4, Resulting Numbers: [39, 15, 4]
Generated Node #0,5: 25:[39, 15, 4] Operation: 27-23=4
Moving to Node #0,5
Current State: 25:[39, 15, 4], Operations: ['27-23=4']
Exploring Operation: 39-15=24, Resulting Numbers: [4, 24]
Generated Node #0,5,0: 25:[4, 24] Operation: 39-15=24
Moving to Node #0,5,0
Current State: 25:[4, 24], Operations: ['27-23=4', '39-15=24']
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,25 unequal: No Solution
Moving to Node #0,5,0
Current State: 25:[4, 24], Operations: ['27-23=4', '39-15=24']
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,5,0
Current State: 25:[4, 24], Operations: ['27-23=4', '39-15=24']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,5
Current State: 25:[39, 15, 4], Operations: ['27-23=4']
Exploring Operation: 39-4=35, Resulting Numbers: [15, 35]
Generated Node #0,5,1: 25:[15, 35] Operation: 39-4=35
Moving to Node #0,5,1
Current State: 25:[15, 35], Operations: ['27-23=4', '39-4=35']
Exploring Operation: 35-15=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,5,1
Current State: 25:[15, 35], Operations: ['27-23=4', '39-4=35']
Exploring Operation: 15+35=50, Resulting Numbers: [50]
50,25 unequal: No Solution
Moving to Node #0,5
Current State: 25:[39, 15, 4], Operations: ['27-23=4']
Exploring Operation: 15+4=19, Resulting Numbers: [39, 19]
Generated Node #0,5,2: 25:[39, 19] Operation: 15+4=19
Moving to Node #0,5,2
Current State: 25:[39, 19], Operations: ['27-23=4', '15+4=19']
Exploring Operation: 39-19=20, Resulting Numbers: [20]
20,25 unequal: No Solution
Moving to Node #0,5
Current State: 25:[39, 15, 4], Operations: ['27-23=4']
Exploring Operation: 15-4=11, Resulting Numbers: [39, 11]
Generated Node #0,5,3: 25:[39, 11] Operation: 15-4=11
Moving to Node #0,5,3
Current State: 25:[39, 11], Operations: ['27-23=4', '15-4=11']
Exploring Operation: 39-11=28, Resulting Numbers: [28]
28,25 unequal: No Solution
Moving to Node #0,5,3
Current State: 25:[39, 11], Operations: ['27-23=4', '15-4=11']
Exploring Operation: 39+11=50, Resulting Numbers: [50]
50,25 unequal: No Solution
| 0 | dfs | Current State: 25:[23, 39, 15, 27], Operations: []
Exploring Operation: 39+15=54, Resulting Numbers: [23, 27, 54]
Generated Node #2: [23, 27, 54] from Operation: 39+15=54
Current State: 25:[23, 27, 54], Operations: ['39+15=54']
Exploring Operation: 54/27=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 54/27=2
Current State: 25:[23, 2], Operations: ['39+15=54', '54/27=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| mult_heuristic |
[
73,
30,
78,
42
] | 78 | [
"73-30=43",
"43-42=1",
"78*1=78"
] | Current State: 78:[73, 30, 78, 42], Operations: []
Exploring Operation: 30+42=72, Resulting Numbers: [73, 78, 72]
Generated Node #0,0: 78:[73, 78, 72] Operation: 30+42=72
Moving to Node #0,0
Current State: 78:[73, 78, 72], Operations: ['30+42=72']
Exploring Operation: 73+72=145, Resulting Numbers: [78, 145]
Generated Node #0,0,0: 78:[78, 145] Operation: 73+72=145
Moving to Node #0,0,0
Current State: 78:[78, 145], Operations: ['30+42=72', '73+72=145']
Exploring Operation: 145-78=67, Resulting Numbers: [67]
67,78 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 78:[67], Operations: ['30+42=72', '73+72=145', '145-78=67']
No solution found. | 0 | bfs_1 | Current State: 78:[73, 30, 78, 42], Operations: []
Exploring Operation: 73-30=43, Resulting Numbers: [78, 42, 43]
Generated Node #2: [78, 42, 43] from Operation: 73-30=43
Current State: 78:[78, 42, 43], Operations: ['73-30=43']
Exploring Operation: 43-42=1, Resulting Numbers: [78, 1]
Generated Node #3: [78, 1] from Operation: 43-42=1
Current State: 78:[78, 1], Operations: ['73-30=43', '43-42=1']
Exploring Operation: 78*1=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| sum_heuristic |
[
54,
88,
50,
53
] | 74 | [
"53-50=3",
"54*3=162",
"162-88=74"
] | Current State: 74:[54, 88, 50, 53], Operations: []
Exploring Operation: 88-53=35, Resulting Numbers: [54, 50, 35]
Generated Node #0,0: 74:[54, 50, 35] Operation: 88-53=35
Exploring Operation: 88-54=34, Resulting Numbers: [50, 53, 34]
Generated Node #0,1: 74:[50, 53, 34] Operation: 88-54=34
Exploring Operation: 54-50=4, Resulting Numbers: [88, 53, 4]
Generated Node #0,2: 74:[88, 53, 4] Operation: 54-50=4
Exploring Operation: 54-53=1, Resulting Numbers: [88, 50, 1]
Generated Node #0,3: 74:[88, 50, 1] Operation: 54-53=1
Moving to Node #0,3
Current State: 74:[88, 50, 1], Operations: ['54-53=1']
Exploring Operation: 88-1=87, Resulting Numbers: [50, 87]
Generated Node #0,3,0: 74:[50, 87] Operation: 88-1=87
Exploring Operation: 50-1=49, Resulting Numbers: [88, 49]
Generated Node #0,3,1: 74:[88, 49] Operation: 50-1=49
Exploring Operation: 88*1=88, Resulting Numbers: [50, 88]
Generated Node #0,3,2: 74:[50, 88] Operation: 88*1=88
Exploring Operation: 88-50=38, Resulting Numbers: [1, 38]
Generated Node #0,3,3: 74:[1, 38] Operation: 88-50=38
Moving to Node #0,1
Current State: 74:[50, 53, 34], Operations: ['88-54=34']
Exploring Operation: 53+34=87, Resulting Numbers: [50, 87]
Generated Node #0,1,0: 74:[50, 87] Operation: 53+34=87
Exploring Operation: 50+34=84, Resulting Numbers: [53, 84]
Generated Node #0,1,1: 74:[53, 84] Operation: 50+34=84
Exploring Operation: 50-34=16, Resulting Numbers: [53, 16]
Generated Node #0,1,2: 74:[53, 16] Operation: 50-34=16
Exploring Operation: 53-50=3, Resulting Numbers: [34, 3]
Generated Node #0,1,3: 74:[34, 3] Operation: 53-50=3
Moving to Node #0,0
Current State: 74:[54, 50, 35], Operations: ['88-53=35']
Exploring Operation: 50+35=85, Resulting Numbers: [54, 85]
Generated Node #0,0,0: 74:[54, 85] Operation: 50+35=85
Exploring Operation: 54-35=19, Resulting Numbers: [50, 19]
Generated Node #0,0,1: 74:[50, 19] Operation: 54-35=19
Exploring Operation: 54+35=89, Resulting Numbers: [50, 89]
Generated Node #0,0,2: 74:[50, 89] Operation: 54+35=89
Exploring Operation: 54-50=4, Resulting Numbers: [35, 4]
Generated Node #0,0,3: 74:[35, 4] Operation: 54-50=4
Moving to Node #0,2
Current State: 74:[88, 53, 4], Operations: ['54-50=4']
Exploring Operation: 88-4=84, Resulting Numbers: [53, 84]
Generated Node #0,2,0: 74:[53, 84] Operation: 88-4=84
Exploring Operation: 53-4=49, Resulting Numbers: [88, 49]
Generated Node #0,2,1: 74:[88, 49] Operation: 53-4=49
Exploring Operation: 88-53=35, Resulting Numbers: [4, 35]
Generated Node #0,2,2: 74:[4, 35] Operation: 88-53=35
Exploring Operation: 88/4=22, Resulting Numbers: [53, 22]
Generated Node #0,2,3: 74:[53, 22] Operation: 88/4=22
Moving to Node #0,3,3
Current State: 74:[1, 38], Operations: ['54-53=1', '88-50=38']
Exploring Operation: 1*38=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 38/1=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 1+38=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 38-1=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[4, 35], Operations: ['54-50=4', '88-53=35']
Exploring Operation: 4*35=140, Resulting Numbers: [140]
140,74 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 4+35=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[34, 3], Operations: ['88-54=34', '53-50=3']
Exploring Operation: 34-3=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 34+3=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 34*3=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Moving to Node #0,0,3
Current State: 74:[35, 4], Operations: ['88-53=35', '54-50=4']
Exploring Operation: 35+4=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 35*4=140, Resulting Numbers: [140]
140,74 unequal: No Solution
Exploring Operation: 35-4=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Moving to Node #0,3,3,0
Current State: 74:[37], Operations: ['54-53=1', '88-50=38', '38-1=37']
Moving to Node #0,1,3,0
Current State: 74:[37], Operations: ['88-54=34', '53-50=3', '34+3=37']
Moving to Node #0,3,3,0
Current State: 74:[38], Operations: ['54-53=1', '88-50=38', '1*38=38']
Moving to Node #0,3,3,0
Current State: 74:[38], Operations: ['54-53=1', '88-50=38', '38/1=38']
Moving to Node #0,3,3,0
Current State: 74:[39], Operations: ['54-53=1', '88-50=38', '1+38=39']
Moving to Node #0,0,3,0
Current State: 74:[39], Operations: ['88-53=35', '54-50=4', '35+4=39']
Moving to Node #0,2,2,0
Current State: 74:[39], Operations: ['54-50=4', '88-53=35', '4+35=39']
Moving to Node #0,0,3,0
Current State: 74:[31], Operations: ['88-53=35', '54-50=4', '35-4=31']
Moving to Node #0,1,3,0
Current State: 74:[31], Operations: ['88-54=34', '53-50=3', '34-3=31']
Moving to Node #0,2,2,0
Current State: 74:[31], Operations: ['54-50=4', '88-53=35', '35-4=31']
Moving to Node #0,1,1
Current State: 74:[53, 84], Operations: ['88-54=34', '50+34=84']
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 53+84=137, Resulting Numbers: [137]
137,74 unequal: No Solution
Exploring Operation: 53*84=4452, Resulting Numbers: [4452]
4452,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[50, 87], Operations: ['88-54=34', '53+34=87']
Exploring Operation: 50+87=137, Resulting Numbers: [137]
137,74 unequal: No Solution
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 50*87=4350, Resulting Numbers: [4350]
4350,74 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 74:[37], Operations: ['88-54=34', '53+34=87', '87-50=37']
Moving to Node #0,1,1,0
Current State: 74:[31], Operations: ['88-54=34', '50+34=84', '84-53=31']
Moving to Node #0,3,1
Current State: 74:[88, 49], Operations: ['54-53=1', '50-1=49']
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 88*49=4312, Resulting Numbers: [4312]
4312,74 unequal: No Solution
Exploring Operation: 88+49=137, Resulting Numbers: [137]
137,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[88, 49], Operations: ['54-50=4', '53-4=49']
Exploring Operation: 88+49=137, Resulting Numbers: [137]
137,74 unequal: No Solution
Exploring Operation: 88-49=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 88*49=4312, Resulting Numbers: [4312]
4312,74 unequal: No Solution
Moving to Node #0,3,1,0
Current State: 74:[39], Operations: ['54-53=1', '50-1=49', '88-49=39']
Moving to Node #0,2,1,0
Current State: 74:[39], Operations: ['54-50=4', '53-4=49', '88-49=39']
Moving to Node #0,2,0
Current State: 74:[53, 84], Operations: ['54-50=4', '88-4=84']
Exploring Operation: 84-53=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 53*84=4452, Resulting Numbers: [4452]
4452,74 unequal: No Solution
Exploring Operation: 53+84=137, Resulting Numbers: [137]
137,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[50, 87], Operations: ['54-53=1', '88-1=87']
Exploring Operation: 87-50=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Exploring Operation: 50+87=137, Resulting Numbers: [137]
137,74 unequal: No Solution
Exploring Operation: 50*87=4350, Resulting Numbers: [4350]
4350,74 unequal: No Solution
Moving to Node #0,3,0,0
Current State: 74:[37], Operations: ['54-53=1', '88-1=87', '87-50=37']
Moving to Node #0,2,0,0
Current State: 74:[31], Operations: ['54-50=4', '88-4=84', '84-53=31']
Moving to Node #0,3,2
Current State: 74:[50, 88], Operations: ['54-53=1', '88*1=88']
Exploring Operation: 50+88=138, Resulting Numbers: [138]
138,74 unequal: No Solution
Exploring Operation: 88-50=38, Resulting Numbers: [38]
38,74 unequal: No Solution
Exploring Operation: 50*88=4400, Resulting Numbers: [4400]
4400,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[54, 85], Operations: ['88-53=35', '50+35=85']
Exploring Operation: 54*85=4590, Resulting Numbers: [4590]
4590,74 unequal: No Solution
Exploring Operation: 85-54=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 54+85=139, Resulting Numbers: [139]
139,74 unequal: No Solution
Moving to Node #0,3,2,0
Current State: 74:[38], Operations: ['54-53=1', '88*1=88', '88-50=38']
Moving to Node #0,0,0,0
Current State: 74:[31], Operations: ['88-53=35', '50+35=85', '85-54=31']
Moving to Node #0,0,2
Current State: 74:[50, 89], Operations: ['88-53=35', '54+35=89']
Exploring Operation: 50+89=139, Resulting Numbers: [139]
139,74 unequal: No Solution
Exploring Operation: 89-50=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Exploring Operation: 50*89=4450, Resulting Numbers: [4450]
4450,74 unequal: No Solution
Moving to Node #0,1,3,0
Current State: 74:[102], Operations: ['88-54=34', '53-50=3', '34*3=102']
Moving to Node #0,0,2,0
Current State: 74:[39], Operations: ['88-53=35', '54+35=89', '89-50=39']
Moving to Node #0,1,2
Current State: 74:[53, 16], Operations: ['88-54=34', '50-34=16']
Exploring Operation: 53*16=848, Resulting Numbers: [848]
848,74 unequal: No Solution
Exploring Operation: 53+16=69, Resulting Numbers: [69]
69,74 unequal: No Solution
Exploring Operation: 53-16=37, Resulting Numbers: [37]
37,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[50, 19], Operations: ['88-53=35', '54-35=19']
Exploring Operation: 50-19=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Exploring Operation: 50*19=950, Resulting Numbers: [950]
950,74 unequal: No Solution
Exploring Operation: 50+19=69, Resulting Numbers: [69]
69,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[53, 22], Operations: ['54-50=4', '88/4=22']
Exploring Operation: 53*22=1166, Resulting Numbers: [1166]
1166,74 unequal: No Solution
Exploring Operation: 53+22=75, Resulting Numbers: [75]
75,74 unequal: No Solution
Exploring Operation: 53-22=31, Resulting Numbers: [31]
31,74 unequal: No Solution
Moving to Node #0,1,2,0
Current State: 74:[37], Operations: ['88-54=34', '50-34=16', '53-16=37']
Moving to Node #0,2,3,0
Current State: 74:[75], Operations: ['54-50=4', '88/4=22', '53+22=75']
Moving to Node #0,0,1,0
Current State: 74:[69], Operations: ['88-53=35', '54-35=19', '50+19=69']
Moving to Node #0,1,2,0
Current State: 74:[69], Operations: ['88-54=34', '50-34=16', '53+16=69']
Moving to Node #0,2,3,0
Current State: 74:[31], Operations: ['54-50=4', '88/4=22', '53-22=31']
Moving to Node #0,0,1,0
Current State: 74:[31], Operations: ['88-53=35', '54-35=19', '50-19=31']
Moving to Node #0,1,0,0
Current State: 74:[137], Operations: ['88-54=34', '53+34=87', '50+87=137']
Moving to Node #0,1,1,0
Current State: 74:[137], Operations: ['88-54=34', '50+34=84', '53+84=137']
Moving to Node #0,3,0,0
Current State: 74:[137], Operations: ['54-53=1', '88-1=87', '50+87=137']
Moving to Node #0,2,0,0
Current State: 74:[137], Operations: ['54-50=4', '88-4=84', '53+84=137']
Moving to Node #0,3,1,0
Current State: 74:[137], Operations: ['54-53=1', '50-1=49', '88+49=137']
Moving to Node #0,2,1,0
Current State: 74:[137], Operations: ['54-50=4', '53-4=49', '88+49=137']
Moving to Node #0,3,2,0
Current State: 74:[138], Operations: ['54-53=1', '88*1=88', '50+88=138']
Moving to Node #0,0,0,0
Current State: 74:[139], Operations: ['88-53=35', '50+35=85', '54+85=139']
Moving to Node #0,0,2,0
Current State: 74:[139], Operations: ['88-53=35', '54+35=89', '50+89=139']
Moving to Node #0,0,3,0
Current State: 74:[140], Operations: ['88-53=35', '54-50=4', '35*4=140']
Moving to Node #0,2,2,0
Current State: 74:[140], Operations: ['54-50=4', '88-53=35', '4*35=140']
Moving to Node #0,1,2,0
Current State: 74:[848], Operations: ['88-54=34', '50-34=16', '53*16=848']
Moving to Node #0,0,1,0
Current State: 74:[950], Operations: ['88-53=35', '54-35=19', '50*19=950']
Moving to Node #0,2,3,0
Current State: 74:[1166], Operations: ['54-50=4', '88/4=22', '53*22=1166']
Moving to Node #0,3,1,0
Current State: 74:[4312], Operations: ['54-53=1', '50-1=49', '88*49=4312']
Moving to Node #0,2,1,0
Current State: 74:[4312], Operations: ['54-50=4', '53-4=49', '88*49=4312']
Moving to Node #0,1,0,0
Current State: 74:[4350], Operations: ['88-54=34', '53+34=87', '50*87=4350']
Moving to Node #0,3,0,0
Current State: 74:[4350], Operations: ['54-53=1', '88-1=87', '50*87=4350']
Moving to Node #0,3,2,0
Current State: 74:[4400], Operations: ['54-53=1', '88*1=88', '50*88=4400']
Moving to Node #0,0,2,0
Current State: 74:[4450], Operations: ['88-53=35', '54+35=89', '50*89=4450']
Moving to Node #0,1,1,0
Current State: 74:[4452], Operations: ['88-54=34', '50+34=84', '53*84=4452']
Moving to Node #0,2,0,0
Current State: 74:[4452], Operations: ['54-50=4', '88-4=84', '53*84=4452']
Moving to Node #0,0,0,0
Current State: 74:[4590], Operations: ['88-53=35', '50+35=85', '54*85=4590']
No solution found. | 0 | bfs_4 | Current State: 74:[54, 88, 50, 53], Operations: []
Exploring Operation: 53-50=3, Resulting Numbers: [54, 88, 3]
Generated Node #2: [54, 88, 3] from Operation: 53-50=3
Current State: 74:[54, 88, 3], Operations: ['53-50=3']
Exploring Operation: 54*3=162, Resulting Numbers: [88, 162]
Generated Node #3: [88, 162] from Operation: 54*3=162
Current State: 74:[88, 162], Operations: ['53-50=3', '54*3=162']
Exploring Operation: 162-88=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| mult_heuristic |
[
12,
1,
14,
88
] | 68 | [
"14-1=13",
"12*13=156",
"156-88=68"
] | Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 12+1=13, Resulting Numbers: [14, 88, 13]
Generated Node #0,0: 68:[14, 88, 13] Operation: 12+1=13
Moving to Node #0,0
Current State: 68:[14, 88, 13], Operations: ['12+1=13']
Exploring Operation: 88-14=74, Resulting Numbers: [13, 74]
Generated Node #0,0,0: 68:[13, 74] Operation: 88-14=74
Moving to Node #0,0,0
Current State: 68:[13, 74], Operations: ['12+1=13', '88-14=74']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,0,0
Current State: 68:[13, 74], Operations: ['12+1=13', '88-14=74']
Exploring Operation: 13+74=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0,0
Current State: 68:[14, 88, 13], Operations: ['12+1=13']
Exploring Operation: 14+13=27, Resulting Numbers: [88, 27]
Generated Node #0,0,1: 68:[88, 27] Operation: 14+13=27
Moving to Node #0,0,1
Current State: 68:[88, 27], Operations: ['12+1=13', '14+13=27']
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,0,1
Current State: 68:[88, 27], Operations: ['12+1=13', '14+13=27']
Exploring Operation: 88+27=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0,0
Current State: 68:[14, 88, 13], Operations: ['12+1=13']
Exploring Operation: 88-13=75, Resulting Numbers: [14, 75]
Generated Node #0,0,2: 68:[14, 75] Operation: 88-13=75
Moving to Node #0,0,2
Current State: 68:[14, 75], Operations: ['12+1=13', '88-13=75']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,0,2
Current State: 68:[14, 75], Operations: ['12+1=13', '88-13=75']
Exploring Operation: 14+75=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,0
Current State: 68:[14, 88, 13], Operations: ['12+1=13']
Exploring Operation: 14-13=1, Resulting Numbers: [88, 1]
Generated Node #0,0,3: 68:[88, 1] Operation: 14-13=1
Moving to Node #0,0,3
Current State: 68:[88, 1], Operations: ['12+1=13', '14-13=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[88, 1], Operations: ['12+1=13', '14-13=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[88, 1], Operations: ['12+1=13', '14-13=1']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,68 unequal: No Solution
Moving to Node #0,0,3
Current State: 68:[88, 1], Operations: ['12+1=13', '14-13=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,0
Current State: 68:[14, 88, 13], Operations: ['12+1=13']
Exploring Operation: 88+13=101, Resulting Numbers: [14, 101]
Generated Node #0,0,4: 68:[14, 101] Operation: 88+13=101
Moving to Node #0,0,4
Current State: 68:[14, 101], Operations: ['12+1=13', '88+13=101']
Exploring Operation: 101-14=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0,0,4
Current State: 68:[14, 101], Operations: ['12+1=13', '88+13=101']
Exploring Operation: 14+101=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0,0
Current State: 68:[14, 88, 13], Operations: ['12+1=13']
Exploring Operation: 14+88=102, Resulting Numbers: [13, 102]
Generated Node #0,0,5: 68:[13, 102] Operation: 14+88=102
Moving to Node #0,0,5
Current State: 68:[13, 102], Operations: ['12+1=13', '14+88=102']
Exploring Operation: 102-13=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,0,5
Current State: 68:[13, 102], Operations: ['12+1=13', '14+88=102']
Exploring Operation: 13+102=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0,0
Current State: 68:[14, 88, 13], Operations: ['12+1=13']
Exploring Operation: 14*13=182, Resulting Numbers: [88, 182]
Generated Node #0,0,6: 68:[88, 182] Operation: 14*13=182
Moving to Node #0,0,6
Current State: 68:[88, 182], Operations: ['12+1=13', '14*13=182']
Exploring Operation: 182-88=94, Resulting Numbers: [94]
94,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 12+14=26, Resulting Numbers: [1, 88, 26]
Generated Node #0,1: 68:[1, 88, 26] Operation: 12+14=26
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 88-1=87, Resulting Numbers: [26, 87]
Generated Node #0,1,0: 68:[26, 87] Operation: 88-1=87
Moving to Node #0,1,0
Current State: 68:[26, 87], Operations: ['12+14=26', '88-1=87']
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,1,0
Current State: 68:[26, 87], Operations: ['12+14=26', '88-1=87']
Exploring Operation: 26+87=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 1+26=27, Resulting Numbers: [88, 27]
Generated Node #0,1,1: 68:[88, 27] Operation: 1+26=27
Moving to Node #0,1,1
Current State: 68:[88, 27], Operations: ['12+14=26', '1+26=27']
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,1,1
Current State: 68:[88, 27], Operations: ['12+14=26', '1+26=27']
Exploring Operation: 88+27=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 1*88=88, Resulting Numbers: [26, 88]
Generated Node #0,1,2: 68:[26, 88] Operation: 1*88=88
Moving to Node #0,1,2
Current State: 68:[26, 88], Operations: ['12+14=26', '1*88=88']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,1,2
Current State: 68:[26, 88], Operations: ['12+14=26', '1*88=88']
Exploring Operation: 26+88=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 88/1=88, Resulting Numbers: [26, 88]
Generated Node #0,1,3: 68:[26, 88] Operation: 88/1=88
Moving to Node #0,1,3
Current State: 68:[26, 88], Operations: ['12+14=26', '88/1=88']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,1,3
Current State: 68:[26, 88], Operations: ['12+14=26', '88/1=88']
Exploring Operation: 26+88=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 1*26=26, Resulting Numbers: [88, 26]
Generated Node #0,1,4: 68:[88, 26] Operation: 1*26=26
Moving to Node #0,1,4
Current State: 68:[88, 26], Operations: ['12+14=26', '1*26=26']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,1,4
Current State: 68:[88, 26], Operations: ['12+14=26', '1*26=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 26/1=26, Resulting Numbers: [88, 26]
Generated Node #0,1,5: 68:[88, 26] Operation: 26/1=26
Moving to Node #0,1,5
Current State: 68:[88, 26], Operations: ['12+14=26', '26/1=26']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,1,5
Current State: 68:[88, 26], Operations: ['12+14=26', '26/1=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 1+88=89, Resulting Numbers: [26, 89]
Generated Node #0,1,6: 68:[26, 89] Operation: 1+88=89
Moving to Node #0,1,6
Current State: 68:[26, 89], Operations: ['12+14=26', '1+88=89']
Exploring Operation: 89-26=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,1,6
Current State: 68:[26, 89], Operations: ['12+14=26', '1+88=89']
Exploring Operation: 26+89=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 26-1=25, Resulting Numbers: [88, 25]
Generated Node #0,1,7: 68:[88, 25] Operation: 26-1=25
Moving to Node #0,1,7
Current State: 68:[88, 25], Operations: ['12+14=26', '26-1=25']
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,1,7
Current State: 68:[88, 25], Operations: ['12+14=26', '26-1=25']
Exploring Operation: 88+25=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 88-26=62, Resulting Numbers: [1, 62]
Generated Node #0,1,8: 68:[1, 62] Operation: 88-26=62
Moving to Node #0,1,8
Current State: 68:[1, 62], Operations: ['12+14=26', '88-26=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,1,8
Current State: 68:[1, 62], Operations: ['12+14=26', '88-26=62']
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,1,8
Current State: 68:[1, 62], Operations: ['12+14=26', '88-26=62']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,1,8
Current State: 68:[1, 62], Operations: ['12+14=26', '88-26=62']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,1
Current State: 68:[1, 88, 26], Operations: ['12+14=26']
Exploring Operation: 88+26=114, Resulting Numbers: [1, 114]
Generated Node #0,1,9: 68:[1, 114] Operation: 88+26=114
Moving to Node #0,1,9
Current State: 68:[1, 114], Operations: ['12+14=26', '88+26=114']
Exploring Operation: 114-1=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,1,9
Current State: 68:[1, 114], Operations: ['12+14=26', '88+26=114']
Exploring Operation: 1*114=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,1,9
Current State: 68:[1, 114], Operations: ['12+14=26', '88+26=114']
Exploring Operation: 114/1=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,1,9
Current State: 68:[1, 114], Operations: ['12+14=26', '88+26=114']
Exploring Operation: 1+114=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 88-12=76, Resulting Numbers: [1, 14, 76]
Generated Node #0,2: 68:[1, 14, 76] Operation: 88-12=76
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 1+14=15, Resulting Numbers: [76, 15]
Generated Node #0,2,0: 68:[76, 15] Operation: 1+14=15
Moving to Node #0,2,0
Current State: 68:[76, 15], Operations: ['88-12=76', '1+14=15']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,2,0
Current State: 68:[76, 15], Operations: ['88-12=76', '1+14=15']
Exploring Operation: 76+15=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 76-1=75, Resulting Numbers: [14, 75]
Generated Node #0,2,1: 68:[14, 75] Operation: 76-1=75
Moving to Node #0,2,1
Current State: 68:[14, 75], Operations: ['88-12=76', '76-1=75']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,2,1
Current State: 68:[14, 75], Operations: ['88-12=76', '76-1=75']
Exploring Operation: 14+75=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 1*14=14, Resulting Numbers: [76, 14]
Generated Node #0,2,2: 68:[76, 14] Operation: 1*14=14
Moving to Node #0,2,2
Current State: 68:[76, 14], Operations: ['88-12=76', '1*14=14']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,2,2
Current State: 68:[76, 14], Operations: ['88-12=76', '1*14=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 14/1=14, Resulting Numbers: [76, 14]
Generated Node #0,2,3: 68:[76, 14] Operation: 14/1=14
Moving to Node #0,2,3
Current State: 68:[76, 14], Operations: ['88-12=76', '14/1=14']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,2,3
Current State: 68:[76, 14], Operations: ['88-12=76', '14/1=14']
Exploring Operation: 76+14=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 1*76=76, Resulting Numbers: [14, 76]
Generated Node #0,2,4: 68:[14, 76] Operation: 1*76=76
Moving to Node #0,2,4
Current State: 68:[14, 76], Operations: ['88-12=76', '1*76=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,2,4
Current State: 68:[14, 76], Operations: ['88-12=76', '1*76=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 76/1=76, Resulting Numbers: [14, 76]
Generated Node #0,2,5: 68:[14, 76] Operation: 76/1=76
Moving to Node #0,2,5
Current State: 68:[14, 76], Operations: ['88-12=76', '76/1=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,2,5
Current State: 68:[14, 76], Operations: ['88-12=76', '76/1=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 14-1=13, Resulting Numbers: [76, 13]
Generated Node #0,2,6: 68:[76, 13] Operation: 14-1=13
Moving to Node #0,2,6
Current State: 68:[76, 13], Operations: ['88-12=76', '14-1=13']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,2,6
Current State: 68:[76, 13], Operations: ['88-12=76', '14-1=13']
Exploring Operation: 76+13=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 1+76=77, Resulting Numbers: [14, 77]
Generated Node #0,2,7: 68:[14, 77] Operation: 1+76=77
Moving to Node #0,2,7
Current State: 68:[14, 77], Operations: ['88-12=76', '1+76=77']
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,2,7
Current State: 68:[14, 77], Operations: ['88-12=76', '1+76=77']
Exploring Operation: 14+77=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 76-14=62, Resulting Numbers: [1, 62]
Generated Node #0,2,8: 68:[1, 62] Operation: 76-14=62
Moving to Node #0,2,8
Current State: 68:[1, 62], Operations: ['88-12=76', '76-14=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,2,8
Current State: 68:[1, 62], Operations: ['88-12=76', '76-14=62']
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,2,8
Current State: 68:[1, 62], Operations: ['88-12=76', '76-14=62']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,2,8
Current State: 68:[1, 62], Operations: ['88-12=76', '76-14=62']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,2
Current State: 68:[1, 14, 76], Operations: ['88-12=76']
Exploring Operation: 14+76=90, Resulting Numbers: [1, 90]
Generated Node #0,2,9: 68:[1, 90] Operation: 14+76=90
Moving to Node #0,2,9
Current State: 68:[1, 90], Operations: ['88-12=76', '14+76=90']
Exploring Operation: 90-1=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,2,9
Current State: 68:[1, 90], Operations: ['88-12=76', '14+76=90']
Exploring Operation: 1*90=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,2,9
Current State: 68:[1, 90], Operations: ['88-12=76', '14+76=90']
Exploring Operation: 90/1=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,2,9
Current State: 68:[1, 90], Operations: ['88-12=76', '14+76=90']
Exploring Operation: 1+90=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 1+14=15, Resulting Numbers: [12, 88, 15]
Generated Node #0,3: 68:[12, 88, 15] Operation: 1+14=15
Moving to Node #0,3
Current State: 68:[12, 88, 15], Operations: ['1+14=15']
Exploring Operation: 88-12=76, Resulting Numbers: [15, 76]
Generated Node #0,3,0: 68:[15, 76] Operation: 88-12=76
Moving to Node #0,3,0
Current State: 68:[15, 76], Operations: ['1+14=15', '88-12=76']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,3,0
Current State: 68:[15, 76], Operations: ['1+14=15', '88-12=76']
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,3
Current State: 68:[12, 88, 15], Operations: ['1+14=15']
Exploring Operation: 12+15=27, Resulting Numbers: [88, 27]
Generated Node #0,3,1: 68:[88, 27] Operation: 12+15=27
Moving to Node #0,3,1
Current State: 68:[88, 27], Operations: ['1+14=15', '12+15=27']
Exploring Operation: 88-27=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,3,1
Current State: 68:[88, 27], Operations: ['1+14=15', '12+15=27']
Exploring Operation: 88+27=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0,3
Current State: 68:[12, 88, 15], Operations: ['1+14=15']
Exploring Operation: 88-15=73, Resulting Numbers: [12, 73]
Generated Node #0,3,2: 68:[12, 73] Operation: 88-15=73
Moving to Node #0,3,2
Current State: 68:[12, 73], Operations: ['1+14=15', '88-15=73']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,3,2
Current State: 68:[12, 73], Operations: ['1+14=15', '88-15=73']
Exploring Operation: 12+73=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,3
Current State: 68:[12, 88, 15], Operations: ['1+14=15']
Exploring Operation: 12+88=100, Resulting Numbers: [15, 100]
Generated Node #0,3,3: 68:[15, 100] Operation: 12+88=100
Moving to Node #0,3,3
Current State: 68:[15, 100], Operations: ['1+14=15', '12+88=100']
Exploring Operation: 100-15=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,3,3
Current State: 68:[15, 100], Operations: ['1+14=15', '12+88=100']
Exploring Operation: 15+100=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0,3
Current State: 68:[12, 88, 15], Operations: ['1+14=15']
Exploring Operation: 15-12=3, Resulting Numbers: [88, 3]
Generated Node #0,3,4: 68:[88, 3] Operation: 15-12=3
Moving to Node #0,3,4
Current State: 68:[88, 3], Operations: ['1+14=15', '15-12=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,3,4
Current State: 68:[88, 3], Operations: ['1+14=15', '15-12=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,3
Current State: 68:[12, 88, 15], Operations: ['1+14=15']
Exploring Operation: 88+15=103, Resulting Numbers: [12, 103]
Generated Node #0,3,5: 68:[12, 103] Operation: 88+15=103
Moving to Node #0,3,5
Current State: 68:[12, 103], Operations: ['1+14=15', '88+15=103']
Exploring Operation: 103-12=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,3,5
Current State: 68:[12, 103], Operations: ['1+14=15', '88+15=103']
Exploring Operation: 12+103=115, Resulting Numbers: [115]
115,68 unequal: No Solution
Moving to Node #0,3
Current State: 68:[12, 88, 15], Operations: ['1+14=15']
Exploring Operation: 12*15=180, Resulting Numbers: [88, 180]
Generated Node #0,3,6: 68:[88, 180] Operation: 12*15=180
Moving to Node #0,3,6
Current State: 68:[88, 180], Operations: ['1+14=15', '12*15=180']
Exploring Operation: 180-88=92, Resulting Numbers: [92]
92,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 88-1=87, Resulting Numbers: [12, 14, 87]
Generated Node #0,4: 68:[12, 14, 87] Operation: 88-1=87
Moving to Node #0,4
Current State: 68:[12, 14, 87], Operations: ['88-1=87']
Exploring Operation: 12+14=26, Resulting Numbers: [87, 26]
Generated Node #0,4,0: 68:[87, 26] Operation: 12+14=26
Moving to Node #0,4,0
Current State: 68:[87, 26], Operations: ['88-1=87', '12+14=26']
Exploring Operation: 87-26=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,4,0
Current State: 68:[87, 26], Operations: ['88-1=87', '12+14=26']
Exploring Operation: 87+26=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,4
Current State: 68:[12, 14, 87], Operations: ['88-1=87']
Exploring Operation: 87-12=75, Resulting Numbers: [14, 75]
Generated Node #0,4,1: 68:[14, 75] Operation: 87-12=75
Moving to Node #0,4,1
Current State: 68:[14, 75], Operations: ['88-1=87', '87-12=75']
Exploring Operation: 75-14=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,4,1
Current State: 68:[14, 75], Operations: ['88-1=87', '87-12=75']
Exploring Operation: 14+75=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,4
Current State: 68:[12, 14, 87], Operations: ['88-1=87']
Exploring Operation: 87-14=73, Resulting Numbers: [12, 73]
Generated Node #0,4,2: 68:[12, 73] Operation: 87-14=73
Moving to Node #0,4,2
Current State: 68:[12, 73], Operations: ['88-1=87', '87-14=73']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,4,2
Current State: 68:[12, 73], Operations: ['88-1=87', '87-14=73']
Exploring Operation: 12+73=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,4
Current State: 68:[12, 14, 87], Operations: ['88-1=87']
Exploring Operation: 14-12=2, Resulting Numbers: [87, 2]
Generated Node #0,4,3: 68:[87, 2] Operation: 14-12=2
Moving to Node #0,4,3
Current State: 68:[87, 2], Operations: ['88-1=87', '14-12=2']
Exploring Operation: 87-2=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,4,3
Current State: 68:[87, 2], Operations: ['88-1=87', '14-12=2']
Exploring Operation: 87+2=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,4
Current State: 68:[12, 14, 87], Operations: ['88-1=87']
Exploring Operation: 12+87=99, Resulting Numbers: [14, 99]
Generated Node #0,4,4: 68:[14, 99] Operation: 12+87=99
Moving to Node #0,4,4
Current State: 68:[14, 99], Operations: ['88-1=87', '12+87=99']
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,4,4
Current State: 68:[14, 99], Operations: ['88-1=87', '12+87=99']
Exploring Operation: 14+99=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,4
Current State: 68:[12, 14, 87], Operations: ['88-1=87']
Exploring Operation: 14+87=101, Resulting Numbers: [12, 101]
Generated Node #0,4,5: 68:[12, 101] Operation: 14+87=101
Moving to Node #0,4,5
Current State: 68:[12, 101], Operations: ['88-1=87', '14+87=101']
Exploring Operation: 101-12=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,4,5
Current State: 68:[12, 101], Operations: ['88-1=87', '14+87=101']
Exploring Operation: 12+101=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,4
Current State: 68:[12, 14, 87], Operations: ['88-1=87']
Exploring Operation: 12*14=168, Resulting Numbers: [87, 168]
Generated Node #0,4,6: 68:[87, 168] Operation: 12*14=168
Moving to Node #0,4,6
Current State: 68:[87, 168], Operations: ['88-1=87', '12*14=168']
Exploring Operation: 168-87=81, Resulting Numbers: [81]
81,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 88-14=74, Resulting Numbers: [12, 1, 74]
Generated Node #0,5: 68:[12, 1, 74] Operation: 88-14=74
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 12+1=13, Resulting Numbers: [74, 13]
Generated Node #0,5,0: 68:[74, 13] Operation: 12+1=13
Moving to Node #0,5,0
Current State: 68:[74, 13], Operations: ['88-14=74', '12+1=13']
Exploring Operation: 74-13=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,5,0
Current State: 68:[74, 13], Operations: ['88-14=74', '12+1=13']
Exploring Operation: 74+13=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 74-1=73, Resulting Numbers: [12, 73]
Generated Node #0,5,1: 68:[12, 73] Operation: 74-1=73
Moving to Node #0,5,1
Current State: 68:[12, 73], Operations: ['88-14=74', '74-1=73']
Exploring Operation: 73-12=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,5,1
Current State: 68:[12, 73], Operations: ['88-14=74', '74-1=73']
Exploring Operation: 12+73=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 12*1=12, Resulting Numbers: [74, 12]
Generated Node #0,5,2: 68:[74, 12] Operation: 12*1=12
Moving to Node #0,5,2
Current State: 68:[74, 12], Operations: ['88-14=74', '12*1=12']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,5,2
Current State: 68:[74, 12], Operations: ['88-14=74', '12*1=12']
Exploring Operation: 74+12=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 12/1=12, Resulting Numbers: [74, 12]
Generated Node #0,5,3: 68:[74, 12] Operation: 12/1=12
Moving to Node #0,5,3
Current State: 68:[74, 12], Operations: ['88-14=74', '12/1=12']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,5,3
Current State: 68:[74, 12], Operations: ['88-14=74', '12/1=12']
Exploring Operation: 74+12=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 1*74=74, Resulting Numbers: [12, 74]
Generated Node #0,5,4: 68:[12, 74] Operation: 1*74=74
Moving to Node #0,5,4
Current State: 68:[12, 74], Operations: ['88-14=74', '1*74=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,5,4
Current State: 68:[12, 74], Operations: ['88-14=74', '1*74=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 74/1=74, Resulting Numbers: [12, 74]
Generated Node #0,5,5: 68:[12, 74] Operation: 74/1=74
Moving to Node #0,5,5
Current State: 68:[12, 74], Operations: ['88-14=74', '74/1=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,5,5
Current State: 68:[12, 74], Operations: ['88-14=74', '74/1=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 12-1=11, Resulting Numbers: [74, 11]
Generated Node #0,5,6: 68:[74, 11] Operation: 12-1=11
Moving to Node #0,5,6
Current State: 68:[74, 11], Operations: ['88-14=74', '12-1=11']
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,5,6
Current State: 68:[74, 11], Operations: ['88-14=74', '12-1=11']
Exploring Operation: 74+11=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 1+74=75, Resulting Numbers: [12, 75]
Generated Node #0,5,7: 68:[12, 75] Operation: 1+74=75
Moving to Node #0,5,7
Current State: 68:[12, 75], Operations: ['88-14=74', '1+74=75']
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,5,7
Current State: 68:[12, 75], Operations: ['88-14=74', '1+74=75']
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 74-12=62, Resulting Numbers: [1, 62]
Generated Node #0,5,8: 68:[1, 62] Operation: 74-12=62
Moving to Node #0,5,8
Current State: 68:[1, 62], Operations: ['88-14=74', '74-12=62']
Exploring Operation: 1+62=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,5,8
Current State: 68:[1, 62], Operations: ['88-14=74', '74-12=62']
Exploring Operation: 1*62=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,5,8
Current State: 68:[1, 62], Operations: ['88-14=74', '74-12=62']
Exploring Operation: 62/1=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,5,8
Current State: 68:[1, 62], Operations: ['88-14=74', '74-12=62']
Exploring Operation: 62-1=61, Resulting Numbers: [61]
61,68 unequal: No Solution
Moving to Node #0,5
Current State: 68:[12, 1, 74], Operations: ['88-14=74']
Exploring Operation: 12+74=86, Resulting Numbers: [1, 86]
Generated Node #0,5,9: 68:[1, 86] Operation: 12+74=86
Moving to Node #0,5,9
Current State: 68:[1, 86], Operations: ['88-14=74', '12+74=86']
Exploring Operation: 86-1=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,5,9
Current State: 68:[1, 86], Operations: ['88-14=74', '12+74=86']
Exploring Operation: 1*86=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,5,9
Current State: 68:[1, 86], Operations: ['88-14=74', '12+74=86']
Exploring Operation: 86/1=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,5,9
Current State: 68:[1, 86], Operations: ['88-14=74', '12+74=86']
Exploring Operation: 1+86=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 12*1=12, Resulting Numbers: [14, 88, 12]
Generated Node #0,6: 68:[14, 88, 12] Operation: 12*1=12
Moving to Node #0,6
Current State: 68:[14, 88, 12], Operations: ['12*1=12']
Exploring Operation: 88-14=74, Resulting Numbers: [12, 74]
Generated Node #0,6,0: 68:[12, 74] Operation: 88-14=74
Moving to Node #0,6,0
Current State: 68:[12, 74], Operations: ['12*1=12', '88-14=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,6,0
Current State: 68:[12, 74], Operations: ['12*1=12', '88-14=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,6
Current State: 68:[14, 88, 12], Operations: ['12*1=12']
Exploring Operation: 14+12=26, Resulting Numbers: [88, 26]
Generated Node #0,6,1: 68:[88, 26] Operation: 14+12=26
Moving to Node #0,6,1
Current State: 68:[88, 26], Operations: ['12*1=12', '14+12=26']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,6,1
Current State: 68:[88, 26], Operations: ['12*1=12', '14+12=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,6
Current State: 68:[14, 88, 12], Operations: ['12*1=12']
Exploring Operation: 88-12=76, Resulting Numbers: [14, 76]
Generated Node #0,6,2: 68:[14, 76] Operation: 88-12=76
Moving to Node #0,6,2
Current State: 68:[14, 76], Operations: ['12*1=12', '88-12=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,6,2
Current State: 68:[14, 76], Operations: ['12*1=12', '88-12=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,6
Current State: 68:[14, 88, 12], Operations: ['12*1=12']
Exploring Operation: 14-12=2, Resulting Numbers: [88, 2]
Generated Node #0,6,3: 68:[88, 2] Operation: 14-12=2
Moving to Node #0,6,3
Current State: 68:[88, 2], Operations: ['12*1=12', '14-12=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,6,3
Current State: 68:[88, 2], Operations: ['12*1=12', '14-12=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,6,3
Current State: 68:[88, 2], Operations: ['12*1=12', '14-12=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Moving to Node #0,6
Current State: 68:[14, 88, 12], Operations: ['12*1=12']
Exploring Operation: 88+12=100, Resulting Numbers: [14, 100]
Generated Node #0,6,4: 68:[14, 100] Operation: 88+12=100
Moving to Node #0,6,4
Current State: 68:[14, 100], Operations: ['12*1=12', '88+12=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,6,4
Current State: 68:[14, 100], Operations: ['12*1=12', '88+12=100']
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,6
Current State: 68:[14, 88, 12], Operations: ['12*1=12']
Exploring Operation: 14+88=102, Resulting Numbers: [12, 102]
Generated Node #0,6,5: 68:[12, 102] Operation: 14+88=102
Moving to Node #0,6,5
Current State: 68:[12, 102], Operations: ['12*1=12', '14+88=102']
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,6,5
Current State: 68:[12, 102], Operations: ['12*1=12', '14+88=102']
Exploring Operation: 12+102=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,6
Current State: 68:[14, 88, 12], Operations: ['12*1=12']
Exploring Operation: 14*12=168, Resulting Numbers: [88, 168]
Generated Node #0,6,6: 68:[88, 168] Operation: 14*12=168
Moving to Node #0,6,6
Current State: 68:[88, 168], Operations: ['12*1=12', '14*12=168']
Exploring Operation: 168-88=80, Resulting Numbers: [80]
80,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 12/1=12, Resulting Numbers: [14, 88, 12]
Generated Node #0,7: 68:[14, 88, 12] Operation: 12/1=12
Moving to Node #0,7
Current State: 68:[14, 88, 12], Operations: ['12/1=12']
Exploring Operation: 88-14=74, Resulting Numbers: [12, 74]
Generated Node #0,7,0: 68:[12, 74] Operation: 88-14=74
Moving to Node #0,7,0
Current State: 68:[12, 74], Operations: ['12/1=12', '88-14=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,7,0
Current State: 68:[12, 74], Operations: ['12/1=12', '88-14=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,7
Current State: 68:[14, 88, 12], Operations: ['12/1=12']
Exploring Operation: 14+12=26, Resulting Numbers: [88, 26]
Generated Node #0,7,1: 68:[88, 26] Operation: 14+12=26
Moving to Node #0,7,1
Current State: 68:[88, 26], Operations: ['12/1=12', '14+12=26']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,7,1
Current State: 68:[88, 26], Operations: ['12/1=12', '14+12=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,7
Current State: 68:[14, 88, 12], Operations: ['12/1=12']
Exploring Operation: 88-12=76, Resulting Numbers: [14, 76]
Generated Node #0,7,2: 68:[14, 76] Operation: 88-12=76
Moving to Node #0,7,2
Current State: 68:[14, 76], Operations: ['12/1=12', '88-12=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,7,2
Current State: 68:[14, 76], Operations: ['12/1=12', '88-12=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,7
Current State: 68:[14, 88, 12], Operations: ['12/1=12']
Exploring Operation: 14-12=2, Resulting Numbers: [88, 2]
Generated Node #0,7,3: 68:[88, 2] Operation: 14-12=2
Moving to Node #0,7,3
Current State: 68:[88, 2], Operations: ['12/1=12', '14-12=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,7,3
Current State: 68:[88, 2], Operations: ['12/1=12', '14-12=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,7,3
Current State: 68:[88, 2], Operations: ['12/1=12', '14-12=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Moving to Node #0,7
Current State: 68:[14, 88, 12], Operations: ['12/1=12']
Exploring Operation: 88+12=100, Resulting Numbers: [14, 100]
Generated Node #0,7,4: 68:[14, 100] Operation: 88+12=100
Moving to Node #0,7,4
Current State: 68:[14, 100], Operations: ['12/1=12', '88+12=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,7,4
Current State: 68:[14, 100], Operations: ['12/1=12', '88+12=100']
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,7
Current State: 68:[14, 88, 12], Operations: ['12/1=12']
Exploring Operation: 14+88=102, Resulting Numbers: [12, 102]
Generated Node #0,7,5: 68:[12, 102] Operation: 14+88=102
Moving to Node #0,7,5
Current State: 68:[12, 102], Operations: ['12/1=12', '14+88=102']
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,7,5
Current State: 68:[12, 102], Operations: ['12/1=12', '14+88=102']
Exploring Operation: 12+102=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,7
Current State: 68:[14, 88, 12], Operations: ['12/1=12']
Exploring Operation: 14*12=168, Resulting Numbers: [88, 168]
Generated Node #0,7,6: 68:[88, 168] Operation: 14*12=168
Moving to Node #0,7,6
Current State: 68:[88, 168], Operations: ['12/1=12', '14*12=168']
Exploring Operation: 168-88=80, Resulting Numbers: [80]
80,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 1*14=14, Resulting Numbers: [12, 88, 14]
Generated Node #0,8: 68:[12, 88, 14] Operation: 1*14=14
Moving to Node #0,8
Current State: 68:[12, 88, 14], Operations: ['1*14=14']
Exploring Operation: 88-12=76, Resulting Numbers: [14, 76]
Generated Node #0,8,0: 68:[14, 76] Operation: 88-12=76
Moving to Node #0,8,0
Current State: 68:[14, 76], Operations: ['1*14=14', '88-12=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,8,0
Current State: 68:[14, 76], Operations: ['1*14=14', '88-12=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,8
Current State: 68:[12, 88, 14], Operations: ['1*14=14']
Exploring Operation: 12+14=26, Resulting Numbers: [88, 26]
Generated Node #0,8,1: 68:[88, 26] Operation: 12+14=26
Moving to Node #0,8,1
Current State: 68:[88, 26], Operations: ['1*14=14', '12+14=26']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,8,1
Current State: 68:[88, 26], Operations: ['1*14=14', '12+14=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,8
Current State: 68:[12, 88, 14], Operations: ['1*14=14']
Exploring Operation: 88-14=74, Resulting Numbers: [12, 74]
Generated Node #0,8,2: 68:[12, 74] Operation: 88-14=74
Moving to Node #0,8,2
Current State: 68:[12, 74], Operations: ['1*14=14', '88-14=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,8,2
Current State: 68:[12, 74], Operations: ['1*14=14', '88-14=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,8
Current State: 68:[12, 88, 14], Operations: ['1*14=14']
Exploring Operation: 12+88=100, Resulting Numbers: [14, 100]
Generated Node #0,8,3: 68:[14, 100] Operation: 12+88=100
Moving to Node #0,8,3
Current State: 68:[14, 100], Operations: ['1*14=14', '12+88=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,8,3
Current State: 68:[14, 100], Operations: ['1*14=14', '12+88=100']
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,8
Current State: 68:[12, 88, 14], Operations: ['1*14=14']
Exploring Operation: 14-12=2, Resulting Numbers: [88, 2]
Generated Node #0,8,4: 68:[88, 2] Operation: 14-12=2
Moving to Node #0,8,4
Current State: 68:[88, 2], Operations: ['1*14=14', '14-12=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,8,4
Current State: 68:[88, 2], Operations: ['1*14=14', '14-12=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,8,4
Current State: 68:[88, 2], Operations: ['1*14=14', '14-12=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Moving to Node #0,8
Current State: 68:[12, 88, 14], Operations: ['1*14=14']
Exploring Operation: 88+14=102, Resulting Numbers: [12, 102]
Generated Node #0,8,5: 68:[12, 102] Operation: 88+14=102
Moving to Node #0,8,5
Current State: 68:[12, 102], Operations: ['1*14=14', '88+14=102']
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,8,5
Current State: 68:[12, 102], Operations: ['1*14=14', '88+14=102']
Exploring Operation: 12+102=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,8
Current State: 68:[12, 88, 14], Operations: ['1*14=14']
Exploring Operation: 12*14=168, Resulting Numbers: [88, 168]
Generated Node #0,8,6: 68:[88, 168] Operation: 12*14=168
Moving to Node #0,8,6
Current State: 68:[88, 168], Operations: ['1*14=14', '12*14=168']
Exploring Operation: 168-88=80, Resulting Numbers: [80]
80,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 14/1=14, Resulting Numbers: [12, 88, 14]
Generated Node #0,9: 68:[12, 88, 14] Operation: 14/1=14
Moving to Node #0,9
Current State: 68:[12, 88, 14], Operations: ['14/1=14']
Exploring Operation: 88-12=76, Resulting Numbers: [14, 76]
Generated Node #0,9,0: 68:[14, 76] Operation: 88-12=76
Moving to Node #0,9,0
Current State: 68:[14, 76], Operations: ['14/1=14', '88-12=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,9,0
Current State: 68:[14, 76], Operations: ['14/1=14', '88-12=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,9
Current State: 68:[12, 88, 14], Operations: ['14/1=14']
Exploring Operation: 12+14=26, Resulting Numbers: [88, 26]
Generated Node #0,9,1: 68:[88, 26] Operation: 12+14=26
Moving to Node #0,9,1
Current State: 68:[88, 26], Operations: ['14/1=14', '12+14=26']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,9,1
Current State: 68:[88, 26], Operations: ['14/1=14', '12+14=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,9
Current State: 68:[12, 88, 14], Operations: ['14/1=14']
Exploring Operation: 88-14=74, Resulting Numbers: [12, 74]
Generated Node #0,9,2: 68:[12, 74] Operation: 88-14=74
Moving to Node #0,9,2
Current State: 68:[12, 74], Operations: ['14/1=14', '88-14=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,9,2
Current State: 68:[12, 74], Operations: ['14/1=14', '88-14=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,9
Current State: 68:[12, 88, 14], Operations: ['14/1=14']
Exploring Operation: 12+88=100, Resulting Numbers: [14, 100]
Generated Node #0,9,3: 68:[14, 100] Operation: 12+88=100
Moving to Node #0,9,3
Current State: 68:[14, 100], Operations: ['14/1=14', '12+88=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,9,3
Current State: 68:[14, 100], Operations: ['14/1=14', '12+88=100']
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,9
Current State: 68:[12, 88, 14], Operations: ['14/1=14']
Exploring Operation: 14-12=2, Resulting Numbers: [88, 2]
Generated Node #0,9,4: 68:[88, 2] Operation: 14-12=2
Moving to Node #0,9,4
Current State: 68:[88, 2], Operations: ['14/1=14', '14-12=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,9,4
Current State: 68:[88, 2], Operations: ['14/1=14', '14-12=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,9,4
Current State: 68:[88, 2], Operations: ['14/1=14', '14-12=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Moving to Node #0,9
Current State: 68:[12, 88, 14], Operations: ['14/1=14']
Exploring Operation: 88+14=102, Resulting Numbers: [12, 102]
Generated Node #0,9,5: 68:[12, 102] Operation: 88+14=102
Moving to Node #0,9,5
Current State: 68:[12, 102], Operations: ['14/1=14', '88+14=102']
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,9,5
Current State: 68:[12, 102], Operations: ['14/1=14', '88+14=102']
Exploring Operation: 12+102=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,9
Current State: 68:[12, 88, 14], Operations: ['14/1=14']
Exploring Operation: 12*14=168, Resulting Numbers: [88, 168]
Generated Node #0,9,6: 68:[88, 168] Operation: 12*14=168
Moving to Node #0,9,6
Current State: 68:[88, 168], Operations: ['14/1=14', '12*14=168']
Exploring Operation: 168-88=80, Resulting Numbers: [80]
80,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 1*88=88, Resulting Numbers: [12, 14, 88]
Generated Node #0,10: 68:[12, 14, 88] Operation: 1*88=88
Moving to Node #0,10
Current State: 68:[12, 14, 88], Operations: ['1*88=88']
Exploring Operation: 12+14=26, Resulting Numbers: [88, 26]
Generated Node #0,10,0: 68:[88, 26] Operation: 12+14=26
Moving to Node #0,10,0
Current State: 68:[88, 26], Operations: ['1*88=88', '12+14=26']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,10,0
Current State: 68:[88, 26], Operations: ['1*88=88', '12+14=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,10
Current State: 68:[12, 14, 88], Operations: ['1*88=88']
Exploring Operation: 88-12=76, Resulting Numbers: [14, 76]
Generated Node #0,10,1: 68:[14, 76] Operation: 88-12=76
Moving to Node #0,10,1
Current State: 68:[14, 76], Operations: ['1*88=88', '88-12=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,10,1
Current State: 68:[14, 76], Operations: ['1*88=88', '88-12=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,10
Current State: 68:[12, 14, 88], Operations: ['1*88=88']
Exploring Operation: 88-14=74, Resulting Numbers: [12, 74]
Generated Node #0,10,2: 68:[12, 74] Operation: 88-14=74
Moving to Node #0,10,2
Current State: 68:[12, 74], Operations: ['1*88=88', '88-14=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,10,2
Current State: 68:[12, 74], Operations: ['1*88=88', '88-14=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,10
Current State: 68:[12, 14, 88], Operations: ['1*88=88']
Exploring Operation: 14-12=2, Resulting Numbers: [88, 2]
Generated Node #0,10,3: 68:[88, 2] Operation: 14-12=2
Moving to Node #0,10,3
Current State: 68:[88, 2], Operations: ['1*88=88', '14-12=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,10,3
Current State: 68:[88, 2], Operations: ['1*88=88', '14-12=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,10,3
Current State: 68:[88, 2], Operations: ['1*88=88', '14-12=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Moving to Node #0,10
Current State: 68:[12, 14, 88], Operations: ['1*88=88']
Exploring Operation: 12+88=100, Resulting Numbers: [14, 100]
Generated Node #0,10,4: 68:[14, 100] Operation: 12+88=100
Moving to Node #0,10,4
Current State: 68:[14, 100], Operations: ['1*88=88', '12+88=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,10,4
Current State: 68:[14, 100], Operations: ['1*88=88', '12+88=100']
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,10
Current State: 68:[12, 14, 88], Operations: ['1*88=88']
Exploring Operation: 14+88=102, Resulting Numbers: [12, 102]
Generated Node #0,10,5: 68:[12, 102] Operation: 14+88=102
Moving to Node #0,10,5
Current State: 68:[12, 102], Operations: ['1*88=88', '14+88=102']
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,10,5
Current State: 68:[12, 102], Operations: ['1*88=88', '14+88=102']
Exploring Operation: 12+102=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,10
Current State: 68:[12, 14, 88], Operations: ['1*88=88']
Exploring Operation: 12*14=168, Resulting Numbers: [88, 168]
Generated Node #0,10,6: 68:[88, 168] Operation: 12*14=168
Moving to Node #0,10,6
Current State: 68:[88, 168], Operations: ['1*88=88', '12*14=168']
Exploring Operation: 168-88=80, Resulting Numbers: [80]
80,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 88/1=88, Resulting Numbers: [12, 14, 88]
Generated Node #0,11: 68:[12, 14, 88] Operation: 88/1=88
Moving to Node #0,11
Current State: 68:[12, 14, 88], Operations: ['88/1=88']
Exploring Operation: 12+14=26, Resulting Numbers: [88, 26]
Generated Node #0,11,0: 68:[88, 26] Operation: 12+14=26
Moving to Node #0,11,0
Current State: 68:[88, 26], Operations: ['88/1=88', '12+14=26']
Exploring Operation: 88-26=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,11,0
Current State: 68:[88, 26], Operations: ['88/1=88', '12+14=26']
Exploring Operation: 88+26=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,11
Current State: 68:[12, 14, 88], Operations: ['88/1=88']
Exploring Operation: 88-12=76, Resulting Numbers: [14, 76]
Generated Node #0,11,1: 68:[14, 76] Operation: 88-12=76
Moving to Node #0,11,1
Current State: 68:[14, 76], Operations: ['88/1=88', '88-12=76']
Exploring Operation: 76-14=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,11,1
Current State: 68:[14, 76], Operations: ['88/1=88', '88-12=76']
Exploring Operation: 14+76=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,11
Current State: 68:[12, 14, 88], Operations: ['88/1=88']
Exploring Operation: 88-14=74, Resulting Numbers: [12, 74]
Generated Node #0,11,2: 68:[12, 74] Operation: 88-14=74
Moving to Node #0,11,2
Current State: 68:[12, 74], Operations: ['88/1=88', '88-14=74']
Exploring Operation: 74-12=62, Resulting Numbers: [62]
62,68 unequal: No Solution
Moving to Node #0,11,2
Current State: 68:[12, 74], Operations: ['88/1=88', '88-14=74']
Exploring Operation: 12+74=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,11
Current State: 68:[12, 14, 88], Operations: ['88/1=88']
Exploring Operation: 14-12=2, Resulting Numbers: [88, 2]
Generated Node #0,11,3: 68:[88, 2] Operation: 14-12=2
Moving to Node #0,11,3
Current State: 68:[88, 2], Operations: ['88/1=88', '14-12=2']
Exploring Operation: 88-2=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,11,3
Current State: 68:[88, 2], Operations: ['88/1=88', '14-12=2']
Exploring Operation: 88+2=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,11,3
Current State: 68:[88, 2], Operations: ['88/1=88', '14-12=2']
Exploring Operation: 88/2=44, Resulting Numbers: [44]
44,68 unequal: No Solution
Moving to Node #0,11
Current State: 68:[12, 14, 88], Operations: ['88/1=88']
Exploring Operation: 12+88=100, Resulting Numbers: [14, 100]
Generated Node #0,11,4: 68:[14, 100] Operation: 12+88=100
Moving to Node #0,11,4
Current State: 68:[14, 100], Operations: ['88/1=88', '12+88=100']
Exploring Operation: 100-14=86, Resulting Numbers: [86]
86,68 unequal: No Solution
Moving to Node #0,11,4
Current State: 68:[14, 100], Operations: ['88/1=88', '12+88=100']
Exploring Operation: 14+100=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,11
Current State: 68:[12, 14, 88], Operations: ['88/1=88']
Exploring Operation: 14+88=102, Resulting Numbers: [12, 102]
Generated Node #0,11,5: 68:[12, 102] Operation: 14+88=102
Moving to Node #0,11,5
Current State: 68:[12, 102], Operations: ['88/1=88', '14+88=102']
Exploring Operation: 102-12=90, Resulting Numbers: [90]
90,68 unequal: No Solution
Moving to Node #0,11,5
Current State: 68:[12, 102], Operations: ['88/1=88', '14+88=102']
Exploring Operation: 12+102=114, Resulting Numbers: [114]
114,68 unequal: No Solution
Moving to Node #0,11
Current State: 68:[12, 14, 88], Operations: ['88/1=88']
Exploring Operation: 12*14=168, Resulting Numbers: [88, 168]
Generated Node #0,11,6: 68:[88, 168] Operation: 12*14=168
Moving to Node #0,11,6
Current State: 68:[88, 168], Operations: ['88/1=88', '12*14=168']
Exploring Operation: 168-88=80, Resulting Numbers: [80]
80,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 12-1=11, Resulting Numbers: [14, 88, 11]
Generated Node #0,12: 68:[14, 88, 11] Operation: 12-1=11
Moving to Node #0,12
Current State: 68:[14, 88, 11], Operations: ['12-1=11']
Exploring Operation: 88-14=74, Resulting Numbers: [11, 74]
Generated Node #0,12,0: 68:[11, 74] Operation: 88-14=74
Moving to Node #0,12,0
Current State: 68:[11, 74], Operations: ['12-1=11', '88-14=74']
Exploring Operation: 74-11=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,12,0
Current State: 68:[11, 74], Operations: ['12-1=11', '88-14=74']
Exploring Operation: 11+74=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,12
Current State: 68:[14, 88, 11], Operations: ['12-1=11']
Exploring Operation: 14+11=25, Resulting Numbers: [88, 25]
Generated Node #0,12,1: 68:[88, 25] Operation: 14+11=25
Moving to Node #0,12,1
Current State: 68:[88, 25], Operations: ['12-1=11', '14+11=25']
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,12,1
Current State: 68:[88, 25], Operations: ['12-1=11', '14+11=25']
Exploring Operation: 88+25=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,12
Current State: 68:[14, 88, 11], Operations: ['12-1=11']
Exploring Operation: 88-11=77, Resulting Numbers: [14, 77]
Generated Node #0,12,2: 68:[14, 77] Operation: 88-11=77
Moving to Node #0,12,2
Current State: 68:[14, 77], Operations: ['12-1=11', '88-11=77']
Exploring Operation: 77-14=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,12,2
Current State: 68:[14, 77], Operations: ['12-1=11', '88-11=77']
Exploring Operation: 14+77=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,12
Current State: 68:[14, 88, 11], Operations: ['12-1=11']
Exploring Operation: 14-11=3, Resulting Numbers: [88, 3]
Generated Node #0,12,3: 68:[88, 3] Operation: 14-11=3
Moving to Node #0,12,3
Current State: 68:[88, 3], Operations: ['12-1=11', '14-11=3']
Exploring Operation: 88-3=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,12,3
Current State: 68:[88, 3], Operations: ['12-1=11', '14-11=3']
Exploring Operation: 88+3=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,12
Current State: 68:[14, 88, 11], Operations: ['12-1=11']
Exploring Operation: 88+11=99, Resulting Numbers: [14, 99]
Generated Node #0,12,4: 68:[14, 99] Operation: 88+11=99
Moving to Node #0,12,4
Current State: 68:[14, 99], Operations: ['12-1=11', '88+11=99']
Exploring Operation: 99-14=85, Resulting Numbers: [85]
85,68 unequal: No Solution
Moving to Node #0,12,4
Current State: 68:[14, 99], Operations: ['12-1=11', '88+11=99']
Exploring Operation: 14+99=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,12
Current State: 68:[14, 88, 11], Operations: ['12-1=11']
Exploring Operation: 14+88=102, Resulting Numbers: [11, 102]
Generated Node #0,12,5: 68:[11, 102] Operation: 14+88=102
Moving to Node #0,12,5
Current State: 68:[11, 102], Operations: ['12-1=11', '14+88=102']
Exploring Operation: 102-11=91, Resulting Numbers: [91]
91,68 unequal: No Solution
Moving to Node #0,12,5
Current State: 68:[11, 102], Operations: ['12-1=11', '14+88=102']
Exploring Operation: 11+102=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,12
Current State: 68:[14, 88, 11], Operations: ['12-1=11']
Exploring Operation: 14*11=154, Resulting Numbers: [88, 154]
Generated Node #0,12,6: 68:[88, 154] Operation: 14*11=154
Moving to Node #0,12,6
Current State: 68:[88, 154], Operations: ['12-1=11', '14*11=154']
Exploring Operation: 154-88=66, Resulting Numbers: [66]
66,68 unequal: No Solution
Moving to Node #0,12
Current State: 68:[14, 88, 11], Operations: ['12-1=11']
Exploring Operation: 88/11=8, Resulting Numbers: [14, 8]
Generated Node #0,12,7: 68:[14, 8] Operation: 88/11=8
Moving to Node #0,12,7
Current State: 68:[14, 8], Operations: ['12-1=11', '88/11=8']
Exploring Operation: 14*8=112, Resulting Numbers: [112]
112,68 unequal: No Solution
Moving to Node #0,12,7
Current State: 68:[14, 8], Operations: ['12-1=11', '88/11=8']
Exploring Operation: 14+8=22, Resulting Numbers: [22]
22,68 unequal: No Solution
Moving to Node #0,12,7
Current State: 68:[14, 8], Operations: ['12-1=11', '88/11=8']
Exploring Operation: 14-8=6, Resulting Numbers: [6]
6,68 unequal: No Solution
Moving to Node #0
Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 14-1=13, Resulting Numbers: [12, 88, 13]
Generated Node #0,13: 68:[12, 88, 13] Operation: 14-1=13
Moving to Node #0,13
Current State: 68:[12, 88, 13], Operations: ['14-1=13']
Exploring Operation: 88-12=76, Resulting Numbers: [13, 76]
Generated Node #0,13,0: 68:[13, 76] Operation: 88-12=76
Moving to Node #0,13,0
Current State: 68:[13, 76], Operations: ['14-1=13', '88-12=76']
Exploring Operation: 76-13=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,13,0
Current State: 68:[13, 76], Operations: ['14-1=13', '88-12=76']
Exploring Operation: 13+76=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,13
Current State: 68:[12, 88, 13], Operations: ['14-1=13']
Exploring Operation: 12+13=25, Resulting Numbers: [88, 25]
Generated Node #0,13,1: 68:[88, 25] Operation: 12+13=25
Moving to Node #0,13,1
Current State: 68:[88, 25], Operations: ['14-1=13', '12+13=25']
Exploring Operation: 88-25=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,13,1
Current State: 68:[88, 25], Operations: ['14-1=13', '12+13=25']
Exploring Operation: 88+25=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,13
Current State: 68:[12, 88, 13], Operations: ['14-1=13']
Exploring Operation: 88-13=75, Resulting Numbers: [12, 75]
Generated Node #0,13,2: 68:[12, 75] Operation: 88-13=75
Moving to Node #0,13,2
Current State: 68:[12, 75], Operations: ['14-1=13', '88-13=75']
Exploring Operation: 75-12=63, Resulting Numbers: [63]
63,68 unequal: No Solution
Moving to Node #0,13,2
Current State: 68:[12, 75], Operations: ['14-1=13', '88-13=75']
Exploring Operation: 12+75=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0,13
Current State: 68:[12, 88, 13], Operations: ['14-1=13']
Exploring Operation: 12+88=100, Resulting Numbers: [13, 100]
Generated Node #0,13,3: 68:[13, 100] Operation: 12+88=100
Moving to Node #0,13,3
Current State: 68:[13, 100], Operations: ['14-1=13', '12+88=100']
Exploring Operation: 100-13=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0,13,3
Current State: 68:[13, 100], Operations: ['14-1=13', '12+88=100']
Exploring Operation: 13+100=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,13
Current State: 68:[12, 88, 13], Operations: ['14-1=13']
Exploring Operation: 13-12=1, Resulting Numbers: [88, 1]
Generated Node #0,13,4: 68:[88, 1] Operation: 13-12=1
Moving to Node #0,13,4
Current State: 68:[88, 1], Operations: ['14-1=13', '13-12=1']
Exploring Operation: 88-1=87, Resulting Numbers: [87]
87,68 unequal: No Solution
Moving to Node #0,13,4
Current State: 68:[88, 1], Operations: ['14-1=13', '13-12=1']
Exploring Operation: 88*1=88, Resulting Numbers: [88]
88,68 unequal: No Solution
Moving to Node #0,13,4
Current State: 68:[88, 1], Operations: ['14-1=13', '13-12=1']
Exploring Operation: 88/1=88, Resulting Numbers: [88]
88,68 unequal: No Solution
Moving to Node #0,13,4
Current State: 68:[88, 1], Operations: ['14-1=13', '13-12=1']
Exploring Operation: 88+1=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,13
Current State: 68:[12, 88, 13], Operations: ['14-1=13']
Exploring Operation: 88+13=101, Resulting Numbers: [12, 101]
Generated Node #0,13,5: 68:[12, 101] Operation: 88+13=101
Moving to Node #0,13,5
Current State: 68:[12, 101], Operations: ['14-1=13', '88+13=101']
Exploring Operation: 101-12=89, Resulting Numbers: [89]
89,68 unequal: No Solution
Moving to Node #0,13,5
Current State: 68:[12, 101], Operations: ['14-1=13', '88+13=101']
Exploring Operation: 12+101=113, Resulting Numbers: [113]
113,68 unequal: No Solution
Moving to Node #0,13
Current State: 68:[12, 88, 13], Operations: ['14-1=13']
Exploring Operation: 12*13=156, Resulting Numbers: [88, 156]
Generated Node #0,13,6: 68:[88, 156] Operation: 12*13=156
Moving to Node #0,13,6
Current State: 68:[88, 156], Operations: ['14-1=13', '12*13=156']
Exploring Operation: 156-88=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 0.695313 | dfs | Current State: 68:[12, 1, 14, 88], Operations: []
Exploring Operation: 14-1=13, Resulting Numbers: [12, 88, 13]
Generated Node #2: [12, 88, 13] from Operation: 14-1=13
Current State: 68:[12, 88, 13], Operations: ['14-1=13']
Exploring Operation: 12*13=156, Resulting Numbers: [88, 156]
Generated Node #3: [88, 156] from Operation: 12*13=156
Current State: 68:[88, 156], Operations: ['14-1=13', '12*13=156']
Exploring Operation: 156-88=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| sum_heuristic |
[
77,
15,
21,
64
] | 23 | [
"77-15=62",
"21+64=85",
"85-62=23"
] | Current State: 23:[77, 15, 21, 64], Operations: []
Exploring Operation: 77-64=13, Resulting Numbers: [15, 21, 13]
Generated Node #0,0: 23:[15, 21, 13] Operation: 77-64=13
Exploring Operation: 77-21=56, Resulting Numbers: [15, 64, 56]
Generated Node #0,1: 23:[15, 64, 56] Operation: 77-21=56
Exploring Operation: 77-15=62, Resulting Numbers: [21, 64, 62]
Generated Node #0,2: 23:[21, 64, 62] Operation: 77-15=62
Moving to Node #0,0
Current State: 23:[15, 21, 13], Operations: ['77-64=13']
Exploring Operation: 21+13=34, Resulting Numbers: [15, 34]
Generated Node #0,0,0: 23:[15, 34] Operation: 21+13=34
Exploring Operation: 15+21=36, Resulting Numbers: [13, 36]
Generated Node #0,0,1: 23:[13, 36] Operation: 15+21=36
Exploring Operation: 15+13=28, Resulting Numbers: [21, 28]
Generated Node #0,0,2: 23:[21, 28] Operation: 15+13=28
Moving to Node #0,1
Current State: 23:[15, 64, 56], Operations: ['77-21=56']
Exploring Operation: 64-56=8, Resulting Numbers: [15, 8]
Generated Node #0,1,0: 23:[15, 8] Operation: 64-56=8
Exploring Operation: 64-15=49, Resulting Numbers: [56, 49]
Generated Node #0,1,1: 23:[56, 49] Operation: 64-15=49
Exploring Operation: 56-15=41, Resulting Numbers: [64, 41]
Generated Node #0,1,2: 23:[64, 41] Operation: 56-15=41
Moving to Node #0,2
Current State: 23:[21, 64, 62], Operations: ['77-15=62']
Exploring Operation: 64-62=2, Resulting Numbers: [21, 2]
Generated Node #0,2,0: 23:[21, 2] Operation: 64-62=2
Exploring Operation: 64-21=43, Resulting Numbers: [62, 43]
Generated Node #0,2,1: 23:[62, 43] Operation: 64-21=43
Exploring Operation: 62-21=41, Resulting Numbers: [64, 41]
Generated Node #0,2,2: 23:[64, 41] Operation: 62-21=41
Moving to Node #0,0,2
Current State: 23:[21, 28], Operations: ['77-64=13', '15+13=28']
Exploring Operation: 28-21=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Exploring Operation: 21+28=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 21*28=588, Resulting Numbers: [588]
588,23 unequal: No Solution
Moving to Node #0,0,0
Current State: 23:[15, 34], Operations: ['77-64=13', '21+13=34']
Exploring Operation: 34-15=19, Resulting Numbers: [19]
19,23 unequal: No Solution
Exploring Operation: 15+34=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 15*34=510, Resulting Numbers: [510]
510,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[13, 36], Operations: ['77-64=13', '15+21=36']
Exploring Operation: 13*36=468, Resulting Numbers: [468]
468,23 unequal: No Solution
Exploring Operation: 13+36=49, Resulting Numbers: [49]
49,23 unequal: No Solution
Exploring Operation: 36-13=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 0.980903 | bfs_3 | Current State: 23:[77, 15, 21, 64], Operations: []
Exploring Operation: 77-15=62, Resulting Numbers: [21, 64, 62]
Generated Node #2: [21, 64, 62] from Operation: 77-15=62
Current State: 23:[21, 64, 62], Operations: ['77-15=62']
Exploring Operation: 21+64=85, Resulting Numbers: [62, 85]
Generated Node #3: [62, 85] from Operation: 21+64=85
Current State: 23:[62, 85], Operations: ['77-15=62', '21+64=85']
Exploring Operation: 85-62=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| mult_heuristic |
[
41,
30,
47,
42
] | 72 | [
"47-41=6",
"42-30=12",
"6*12=72"
] | Current State: 72:[41, 30, 47, 42], Operations: []
Exploring Operation: 41+30=71, Resulting Numbers: [47, 42, 71]
Generated Node #0,0: 72:[47, 42, 71] Operation: 41+30=71
Exploring Operation: 30+42=72, Resulting Numbers: [41, 47, 72]
Generated Node #0,1: 72:[41, 47, 72] Operation: 30+42=72
Exploring Operation: 30+47=77, Resulting Numbers: [41, 42, 77]
Generated Node #0,2: 72:[41, 42, 77] Operation: 30+47=77
Exploring Operation: 41+42=83, Resulting Numbers: [30, 47, 83]
Generated Node #0,3: 72:[30, 47, 83] Operation: 41+42=83
Moving to Node #0,0
Current State: 72:[47, 42, 71], Operations: ['41+30=71']
Exploring Operation: 47-42=5, Resulting Numbers: [71, 5]
Generated Node #0,0,0: 72:[71, 5] Operation: 47-42=5
Exploring Operation: 42+71=113, Resulting Numbers: [47, 113]
Generated Node #0,0,1: 72:[47, 113] Operation: 42+71=113
Exploring Operation: 47+42=89, Resulting Numbers: [71, 89]
Generated Node #0,0,2: 72:[71, 89] Operation: 47+42=89
Exploring Operation: 71-42=29, Resulting Numbers: [47, 29]
Generated Node #0,0,3: 72:[47, 29] Operation: 71-42=29
Moving to Node #0,1
Current State: 72:[41, 47, 72], Operations: ['30+42=72']
Exploring Operation: 41+72=113, Resulting Numbers: [47, 113]
Generated Node #0,1,0: 72:[47, 113] Operation: 41+72=113
Exploring Operation: 47-41=6, Resulting Numbers: [72, 6]
Generated Node #0,1,1: 72:[72, 6] Operation: 47-41=6
Exploring Operation: 41+47=88, Resulting Numbers: [72, 88]
Generated Node #0,1,2: 72:[72, 88] Operation: 41+47=88
Exploring Operation: 72-41=31, Resulting Numbers: [47, 31]
Generated Node #0,1,3: 72:[47, 31] Operation: 72-41=31
Moving to Node #0,2
Current State: 72:[41, 42, 77], Operations: ['30+47=77']
Exploring Operation: 77-41=36, Resulting Numbers: [42, 36]
Generated Node #0,2,0: 72:[42, 36] Operation: 77-41=36
Exploring Operation: 77-42=35, Resulting Numbers: [41, 35]
Generated Node #0,2,1: 72:[41, 35] Operation: 77-42=35
Exploring Operation: 41+42=83, Resulting Numbers: [77, 83]
Generated Node #0,2,2: 72:[77, 83] Operation: 41+42=83
Exploring Operation: 42-41=1, Resulting Numbers: [77, 1]
Generated Node #0,2,3: 72:[77, 1] Operation: 42-41=1
Moving to Node #0,3
Current State: 72:[30, 47, 83], Operations: ['41+42=83']
Exploring Operation: 83-30=53, Resulting Numbers: [47, 53]
Generated Node #0,3,0: 72:[47, 53] Operation: 83-30=53
Exploring Operation: 30+83=113, Resulting Numbers: [47, 113]
Generated Node #0,3,1: 72:[47, 113] Operation: 30+83=113
Exploring Operation: 30+47=77, Resulting Numbers: [83, 77]
Generated Node #0,3,2: 72:[83, 77] Operation: 30+47=77
Exploring Operation: 47-30=17, Resulting Numbers: [83, 17]
Generated Node #0,3,3: 72:[83, 17] Operation: 47-30=17
Moving to Node #0,1,2
Current State: 72:[72, 88], Operations: ['30+42=72', '41+47=88']
Exploring Operation: 72+88=160, Resulting Numbers: [160]
160,72 unequal: No Solution
Exploring Operation: 88-72=16, Resulting Numbers: [16]
16,72 unequal: No Solution
Exploring Operation: 72*88=6336, Resulting Numbers: [6336]
6336,72 unequal: No Solution
Moving to Node #0,3,2
Current State: 72:[83, 77], Operations: ['41+42=83', '30+47=77']
Exploring Operation: 83-77=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 83+77=160, Resulting Numbers: [160]
160,72 unequal: No Solution
Exploring Operation: 83*77=6391, Resulting Numbers: [6391]
6391,72 unequal: No Solution
Moving to Node #0,2,2
Current State: 72:[77, 83], Operations: ['30+47=77', '41+42=83']
Exploring Operation: 77*83=6391, Resulting Numbers: [6391]
6391,72 unequal: No Solution
Exploring Operation: 77+83=160, Resulting Numbers: [160]
160,72 unequal: No Solution
Exploring Operation: 83-77=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Moving to Node #0,0,2
Current State: 72:[71, 89], Operations: ['41+30=71', '47+42=89']
Exploring Operation: 71+89=160, Resulting Numbers: [160]
160,72 unequal: No Solution
Exploring Operation: 89-71=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Exploring Operation: 71*89=6319, Resulting Numbers: [6319]
6319,72 unequal: No Solution
Moving to Node #0,3,0
Current State: 72:[47, 53], Operations: ['41+42=83', '83-30=53']
Exploring Operation: 53-47=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 47+53=100, Resulting Numbers: [100]
100,72 unequal: No Solution
Exploring Operation: 47*53=2491, Resulting Numbers: [2491]
2491,72 unequal: No Solution
Moving to Node #0,3,1
Current State: 72:[47, 113], Operations: ['41+42=83', '30+83=113']
Exploring Operation: 47+113=160, Resulting Numbers: [160]
160,72 unequal: No Solution
Exploring Operation: 47*113=5311, Resulting Numbers: [5311]
5311,72 unequal: No Solution
Exploring Operation: 113-47=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Moving to Node #0,1,0
Current State: 72:[47, 113], Operations: ['30+42=72', '41+72=113']
Exploring Operation: 47*113=5311, Resulting Numbers: [5311]
5311,72 unequal: No Solution
Exploring Operation: 113-47=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 47+113=160, Resulting Numbers: [160]
160,72 unequal: No Solution
Moving to Node #0,0,1
Current State: 72:[47, 113], Operations: ['41+30=71', '42+71=113']
Exploring Operation: 47*113=5311, Resulting Numbers: [5311]
5311,72 unequal: No Solution
Exploring Operation: 113-47=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 47+113=160, Resulting Numbers: [160]
160,72 unequal: No Solution
Moving to Node #0,3,1,0
Current State: 72:[66], Operations: ['41+42=83', '30+83=113', '113-47=66']
Moving to Node #0,1,0,0
Current State: 72:[66], Operations: ['30+42=72', '41+72=113', '113-47=66']
Moving to Node #0,0,1,0
Current State: 72:[66], Operations: ['41+30=71', '42+71=113', '113-47=66']
Moving to Node #0,3,0,0
Current State: 72:[100], Operations: ['41+42=83', '83-30=53', '47+53=100']
Moving to Node #0,2,0
Current State: 72:[42, 36], Operations: ['30+47=77', '77-41=36']
Exploring Operation: 42*36=1512, Resulting Numbers: [1512]
1512,72 unequal: No Solution
Exploring Operation: 42-36=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Exploring Operation: 42+36=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Moving to Node #0,1,1
Current State: 72:[72, 6], Operations: ['30+42=72', '47-41=6']
Exploring Operation: 72/6=12, Resulting Numbers: [12]
12,72 unequal: No Solution
Exploring Operation: 72*6=432, Resulting Numbers: [432]
432,72 unequal: No Solution
Exploring Operation: 72-6=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 72+6=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Moving to Node #0,1,3
Current State: 72:[47, 31], Operations: ['30+42=72', '72-41=31']
Exploring Operation: 47*31=1457, Resulting Numbers: [1457]
1457,72 unequal: No Solution
Exploring Operation: 47+31=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Exploring Operation: 47-31=16, Resulting Numbers: [16]
16,72 unequal: No Solution
Moving to Node #0,3,3
Current State: 72:[83, 17], Operations: ['41+42=83', '47-30=17']
Exploring Operation: 83*17=1411, Resulting Numbers: [1411]
1411,72 unequal: No Solution
Exploring Operation: 83-17=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Exploring Operation: 83+17=100, Resulting Numbers: [100]
100,72 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 72:[78], Operations: ['30+47=77', '77-41=36', '42+36=78']
Moving to Node #0,1,1,0
Current State: 72:[66], Operations: ['30+42=72', '47-41=6', '72-6=66']
Moving to Node #0,1,1,0
Current State: 72:[78], Operations: ['30+42=72', '47-41=6', '72+6=78']
Moving to Node #0,1,3,0
Current State: 72:[78], Operations: ['30+42=72', '72-41=31', '47+31=78']
Moving to Node #0,3,3,0
Current State: 72:[66], Operations: ['41+42=83', '47-30=17', '83-17=66']
Moving to Node #0,3,3,0
Current State: 72:[100], Operations: ['41+42=83', '47-30=17', '83+17=100']
Moving to Node #0,0,0
Current State: 72:[71, 5], Operations: ['41+30=71', '47-42=5']
Exploring Operation: 71+5=76, Resulting Numbers: [76]
76,72 unequal: No Solution
Exploring Operation: 71*5=355, Resulting Numbers: [355]
355,72 unequal: No Solution
Exploring Operation: 71-5=66, Resulting Numbers: [66]
66,72 unequal: No Solution
Moving to Node #0,2,1
Current State: 72:[41, 35], Operations: ['30+47=77', '77-42=35']
Exploring Operation: 41+35=76, Resulting Numbers: [76]
76,72 unequal: No Solution
Exploring Operation: 41*35=1435, Resulting Numbers: [1435]
1435,72 unequal: No Solution
Exploring Operation: 41-35=6, Resulting Numbers: [6]
6,72 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 72:[76], Operations: ['41+30=71', '47-42=5', '71+5=76']
Moving to Node #0,2,1,0
Current State: 72:[76], Operations: ['30+47=77', '77-42=35', '41+35=76']
Moving to Node #0,0,0,0
Current State: 72:[66], Operations: ['41+30=71', '47-42=5', '71-5=66']
Moving to Node #0,0,3
Current State: 72:[47, 29], Operations: ['41+30=71', '71-42=29']
Exploring Operation: 47+29=76, Resulting Numbers: [76]
76,72 unequal: No Solution
Exploring Operation: 47*29=1363, Resulting Numbers: [1363]
1363,72 unequal: No Solution
Exploring Operation: 47-29=18, Resulting Numbers: [18]
18,72 unequal: No Solution
Moving to Node #0,0,3,0
Current State: 72:[76], Operations: ['41+30=71', '71-42=29', '47+29=76']
Moving to Node #0,2,3
Current State: 72:[77, 1], Operations: ['30+47=77', '42-41=1']
Exploring Operation: 77*1=77, Resulting Numbers: [77]
77,72 unequal: No Solution
Exploring Operation: 77+1=78, Resulting Numbers: [78]
78,72 unequal: No Solution
Exploring Operation: 77/1=77, Resulting Numbers: [77]
77,72 unequal: No Solution
Exploring Operation: 77-1=76, Resulting Numbers: [76]
76,72 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 72:[18], Operations: ['41+30=71', '47+42=89', '89-71=18']
Moving to Node #0,0,3,0
Current State: 72:[18], Operations: ['41+30=71', '71-42=29', '47-29=18']
Moving to Node #0,2,3,0
Current State: 72:[76], Operations: ['30+47=77', '42-41=1', '77-1=76']
Moving to Node #0,2,3,0
Current State: 72:[77], Operations: ['30+47=77', '42-41=1', '77*1=77']
Moving to Node #0,2,3,0
Current State: 72:[77], Operations: ['30+47=77', '42-41=1', '77/1=77']
Moving to Node #0,2,3,0
Current State: 72:[78], Operations: ['30+47=77', '42-41=1', '77+1=78']
Moving to Node #0,1,2,0
Current State: 72:[16], Operations: ['30+42=72', '41+47=88', '88-72=16']
Moving to Node #0,1,3,0
Current State: 72:[16], Operations: ['30+42=72', '72-41=31', '47-31=16']
Moving to Node #0,1,1,0
Current State: 72:[12], Operations: ['30+42=72', '47-41=6', '72/6=12']
Moving to Node #0,2,0,0
Current State: 72:[6], Operations: ['30+47=77', '77-41=36', '42-36=6']
Moving to Node #0,3,0,0
Current State: 72:[6], Operations: ['41+42=83', '83-30=53', '53-47=6']
Moving to Node #0,2,2,0
Current State: 72:[6], Operations: ['30+47=77', '41+42=83', '83-77=6']
Moving to Node #0,3,2,0
Current State: 72:[6], Operations: ['41+42=83', '30+47=77', '83-77=6']
Moving to Node #0,2,1,0
Current State: 72:[6], Operations: ['30+47=77', '77-42=35', '41-35=6']
Moving to Node #0,0,1,0
Current State: 72:[160], Operations: ['41+30=71', '42+71=113', '47+113=160']
Moving to Node #0,1,2,0
Current State: 72:[160], Operations: ['30+42=72', '41+47=88', '72+88=160']
Moving to Node #0,0,2,0
Current State: 72:[160], Operations: ['41+30=71', '47+42=89', '71+89=160']
Moving to Node #0,3,1,0
Current State: 72:[160], Operations: ['41+42=83', '30+83=113', '47+113=160']
Moving to Node #0,1,0,0
Current State: 72:[160], Operations: ['30+42=72', '41+72=113', '47+113=160']
Moving to Node #0,2,2,0
Current State: 72:[160], Operations: ['30+47=77', '41+42=83', '77+83=160']
Moving to Node #0,3,2,0
Current State: 72:[160], Operations: ['41+42=83', '30+47=77', '83+77=160']
Moving to Node #0,0,0,0
Current State: 72:[355], Operations: ['41+30=71', '47-42=5', '71*5=355']
Moving to Node #0,1,1,0
Current State: 72:[432], Operations: ['30+42=72', '47-41=6', '72*6=432']
Moving to Node #0,0,3,0
Current State: 72:[1363], Operations: ['41+30=71', '71-42=29', '47*29=1363']
Moving to Node #0,3,3,0
Current State: 72:[1411], Operations: ['41+42=83', '47-30=17', '83*17=1411']
Moving to Node #0,2,1,0
Current State: 72:[1435], Operations: ['30+47=77', '77-42=35', '41*35=1435']
Moving to Node #0,1,3,0
Current State: 72:[1457], Operations: ['30+42=72', '72-41=31', '47*31=1457']
Moving to Node #0,2,0,0
Current State: 72:[1512], Operations: ['30+47=77', '77-41=36', '42*36=1512']
Moving to Node #0,3,0,0
Current State: 72:[2491], Operations: ['41+42=83', '83-30=53', '47*53=2491']
Moving to Node #0,0,1,0
Current State: 72:[5311], Operations: ['41+30=71', '42+71=113', '47*113=5311']
Moving to Node #0,3,1,0
Current State: 72:[5311], Operations: ['41+42=83', '30+83=113', '47*113=5311']
Moving to Node #0,1,0,0
Current State: 72:[5311], Operations: ['30+42=72', '41+72=113', '47*113=5311']
Moving to Node #0,0,2,0
Current State: 72:[6319], Operations: ['41+30=71', '47+42=89', '71*89=6319']
Moving to Node #0,1,2,0
Current State: 72:[6336], Operations: ['30+42=72', '41+47=88', '72*88=6336']
Moving to Node #0,3,2,0
Current State: 72:[6391], Operations: ['41+42=83', '30+47=77', '83*77=6391']
Moving to Node #0,2,2,0
Current State: 72:[6391], Operations: ['30+47=77', '41+42=83', '77*83=6391']
No solution found. | 0 | bfs_4 | Current State: 72:[41, 30, 47, 42], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [30, 42, 6]
Generated Node #2: [30, 42, 6] from Operation: 47-41=6
Current State: 72:[30, 42, 6], Operations: ['47-41=6']
Exploring Operation: 42-30=12, Resulting Numbers: [6, 12]
Generated Node #3: [6, 12] from Operation: 42-30=12
Current State: 72:[6, 12], Operations: ['47-41=6', '42-30=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| sum_heuristic |
[
41,
43,
12,
40
] | 55 | [
"41-40=1",
"43+12=55",
"1*55=55"
] | Current State: 55:[41, 43, 12, 40], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [43, 12, 1]
Generated Node #0,0: 55:[43, 12, 1] Operation: 41-40=1
Moving to Node #0,0
Current State: 55:[43, 12, 1], Operations: ['41-40=1']
Exploring Operation: 43+12=55, Resulting Numbers: [1, 55]
Generated Node #0,0,0: 55:[1, 55] Operation: 43+12=55
Moving to Node #0,0,0
Current State: 55:[1, 55], Operations: ['41-40=1', '43+12=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.996528 | dfs | Current State: 55:[41, 43, 12, 40], Operations: []
Exploring Operation: 41-40=1, Resulting Numbers: [43, 12, 1]
Generated Node #2: [43, 12, 1] from Operation: 41-40=1
Current State: 55:[43, 12, 1], Operations: ['41-40=1']
Exploring Operation: 43+12=55, Resulting Numbers: [1, 55]
Generated Node #3: [1, 55] from Operation: 43+12=55
Current State: 55:[1, 55], Operations: ['41-40=1', '43+12=55']
Exploring Operation: 1*55=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| mult_heuristic |
[
38,
10,
37,
33
] | 78 | [
"37-33=4",
"10*4=40",
"38+40=78"
] | Current State: 78:[38, 10, 37, 33], Operations: []
Exploring Operation: 37-10=27, Resulting Numbers: [38, 33, 27]
Generated Node #0,0: 78:[38, 33, 27] Operation: 37-10=27
Exploring Operation: 38-33=5, Resulting Numbers: [10, 37, 5]
Generated Node #0,1: 78:[10, 37, 5] Operation: 38-33=5
Exploring Operation: 33-10=23, Resulting Numbers: [38, 37, 23]
Generated Node #0,2: 78:[38, 37, 23] Operation: 33-10=23
Exploring Operation: 37-33=4, Resulting Numbers: [38, 10, 4]
Generated Node #0,3: 78:[38, 10, 4] Operation: 37-33=4
Exploring Operation: 10+33=43, Resulting Numbers: [38, 37, 43]
Generated Node #0,4: 78:[38, 37, 43] Operation: 10+33=43
Moving to Node #0,3
Current State: 78:[38, 10, 4], Operations: ['37-33=4']
Exploring Operation: 10-4=6, Resulting Numbers: [38, 6]
Generated Node #0,3,0: 78:[38, 6] Operation: 10-4=6
Exploring Operation: 38+4=42, Resulting Numbers: [10, 42]
Generated Node #0,3,1: 78:[10, 42] Operation: 38+4=42
Exploring Operation: 10*4=40, Resulting Numbers: [38, 40]
Generated Node #0,3,2: 78:[38, 40] Operation: 10*4=40
Exploring Operation: 38-10=28, Resulting Numbers: [4, 28]
Generated Node #0,3,3: 78:[4, 28] Operation: 38-10=28
Exploring Operation: 10+4=14, Resulting Numbers: [38, 14]
Generated Node #0,3,4: 78:[38, 14] Operation: 10+4=14
Moving to Node #0,2
Current State: 78:[38, 37, 23], Operations: ['33-10=23']
Exploring Operation: 38-23=15, Resulting Numbers: [37, 15]
Generated Node #0,2,0: 78:[37, 15] Operation: 38-23=15
Exploring Operation: 38+37=75, Resulting Numbers: [23, 75]
Generated Node #0,2,1: 78:[23, 75] Operation: 38+37=75
Exploring Operation: 37-23=14, Resulting Numbers: [38, 14]
Generated Node #0,2,2: 78:[38, 14] Operation: 37-23=14
Exploring Operation: 38-37=1, Resulting Numbers: [23, 1]
Generated Node #0,2,3: 78:[23, 1] Operation: 38-37=1
Exploring Operation: 38+23=61, Resulting Numbers: [37, 61]
Generated Node #0,2,4: 78:[37, 61] Operation: 38+23=61
Moving to Node #0,1
Current State: 78:[10, 37, 5], Operations: ['38-33=5']
Exploring Operation: 10+5=15, Resulting Numbers: [37, 15]
Generated Node #0,1,0: 78:[37, 15] Operation: 10+5=15
Exploring Operation: 37+5=42, Resulting Numbers: [10, 42]
Generated Node #0,1,1: 78:[10, 42] Operation: 37+5=42
Exploring Operation: 10/5=2, Resulting Numbers: [37, 2]
Generated Node #0,1,2: 78:[37, 2] Operation: 10/5=2
Exploring Operation: 37-10=27, Resulting Numbers: [5, 27]
Generated Node #0,1,3: 78:[5, 27] Operation: 37-10=27
Exploring Operation: 10-5=5, Resulting Numbers: [37, 5]
Generated Node #0,1,4: 78:[37, 5] Operation: 10-5=5
Moving to Node #0,4
Current State: 78:[38, 37, 43], Operations: ['10+33=43']
Exploring Operation: 37+43=80, Resulting Numbers: [38, 80]
Generated Node #0,4,0: 78:[38, 80] Operation: 37+43=80
Exploring Operation: 43-38=5, Resulting Numbers: [37, 5]
Generated Node #0,4,1: 78:[37, 5] Operation: 43-38=5
Exploring Operation: 38-37=1, Resulting Numbers: [43, 1]
Generated Node #0,4,2: 78:[43, 1] Operation: 38-37=1
Exploring Operation: 38+43=81, Resulting Numbers: [37, 81]
Generated Node #0,4,3: 78:[37, 81] Operation: 38+43=81
Exploring Operation: 43-37=6, Resulting Numbers: [38, 6]
Generated Node #0,4,4: 78:[38, 6] Operation: 43-37=6
Moving to Node #0,0
Current State: 78:[38, 33, 27], Operations: ['37-10=27']
Exploring Operation: 33-27=6, Resulting Numbers: [38, 6]
Generated Node #0,0,0: 78:[38, 6] Operation: 33-27=6
Exploring Operation: 38-33=5, Resulting Numbers: [27, 5]
Generated Node #0,0,1: 78:[27, 5] Operation: 38-33=5
Exploring Operation: 38+33=71, Resulting Numbers: [27, 71]
Generated Node #0,0,2: 78:[27, 71] Operation: 38+33=71
Exploring Operation: 38+27=65, Resulting Numbers: [33, 65]
Generated Node #0,0,3: 78:[33, 65] Operation: 38+27=65
Exploring Operation: 38-27=11, Resulting Numbers: [33, 11]
Generated Node #0,0,4: 78:[33, 11] Operation: 38-27=11
Moving to Node #0,3,0
Current State: 78:[38, 6], Operations: ['37-33=4', '10-4=6']
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,78 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Moving to Node #0,4,4
Current State: 78:[38, 6], Operations: ['10+33=43', '43-37=6']
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,78 unequal: No Solution
Moving to Node #0,0,0
Current State: 78:[38, 6], Operations: ['37-10=27', '33-27=6']
Exploring Operation: 38*6=228, Resulting Numbers: [228]
228,78 unequal: No Solution
Exploring Operation: 38-6=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 38+6=44, Resulting Numbers: [44]
44,78 unequal: No Solution
Moving to Node #0,3,4
Current State: 78:[38, 14], Operations: ['37-33=4', '10+4=14']
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,78 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,78 unequal: No Solution
Moving to Node #0,2,2
Current State: 78:[38, 14], Operations: ['33-10=23', '37-23=14']
Exploring Operation: 38*14=532, Resulting Numbers: [532]
532,78 unequal: No Solution
Exploring Operation: 38+14=52, Resulting Numbers: [52]
52,78 unequal: No Solution
Exploring Operation: 38-14=24, Resulting Numbers: [24]
24,78 unequal: No Solution
Moving to Node #0,1,3
Current State: 78:[5, 27], Operations: ['38-33=5', '37-10=27']
Exploring Operation: 5+27=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 5*27=135, Resulting Numbers: [135]
135,78 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Moving to Node #0,3,4,0
Current State: 78:[24], Operations: ['37-33=4', '10+4=14', '38-14=24']
Moving to Node #0,0,1
Current State: 78:[27, 5], Operations: ['37-10=27', '38-33=5']
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,78 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,78 unequal: No Solution
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,78 unequal: No Solution
Moving to Node #0,1,2
Current State: 78:[37, 2], Operations: ['38-33=5', '10/5=2']
Exploring Operation: 37*2=74, Resulting Numbers: [74]
74,78 unequal: No Solution
Exploring Operation: 37-2=35, Resulting Numbers: [35]
35,78 unequal: No Solution
Exploring Operation: 37+2=39, Resulting Numbers: [39]
39,78 unequal: No Solution
Moving to Node #0,3,2
Current State: 78:[38, 40], Operations: ['37-33=4', '10*4=40']
Exploring Operation: 40-38=2, Resulting Numbers: [2]
2,78 unequal: No Solution
Exploring Operation: 38*40=1520, Resulting Numbers: [1520]
1520,78 unequal: No Solution
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 0.949653 | bfs_5 | Current State: 78:[38, 10, 37, 33], Operations: []
Exploring Operation: 37-33=4, Resulting Numbers: [38, 10, 4]
Generated Node #2: [38, 10, 4] from Operation: 37-33=4
Current State: 78:[38, 10, 4], Operations: ['37-33=4']
Exploring Operation: 10*4=40, Resulting Numbers: [38, 40]
Generated Node #3: [38, 40] from Operation: 10*4=40
Current State: 78:[38, 40], Operations: ['37-33=4', '10*4=40']
Exploring Operation: 38+40=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| mult_heuristic |
[
34,
8,
59,
46
] | 79 | [
"34-8=26",
"59+46=105",
"105-26=79"
] | Current State: 79:[34, 8, 59, 46], Operations: []
Exploring Operation: 34+8=42, Resulting Numbers: [59, 46, 42]
Generated Node #0,0: 79:[59, 46, 42] Operation: 34+8=42
Moving to Node #0,0
Current State: 79:[59, 46, 42], Operations: ['34+8=42']
Exploring Operation: 46+42=88, Resulting Numbers: [59, 88]
Generated Node #0,0,0: 79:[59, 88] Operation: 46+42=88
Moving to Node #0,0,0
Current State: 79:[59, 88], Operations: ['34+8=42', '46+42=88']
Exploring Operation: 88-59=29, Resulting Numbers: [29]
29,79 unequal: No Solution
Moving to Node #0,0,0
Current State: 79:[59, 88], Operations: ['34+8=42', '46+42=88']
Exploring Operation: 59+88=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[59, 46, 42], Operations: ['34+8=42']
Exploring Operation: 59+42=101, Resulting Numbers: [46, 101]
Generated Node #0,0,1: 79:[46, 101] Operation: 59+42=101
Moving to Node #0,0,1
Current State: 79:[46, 101], Operations: ['34+8=42', '59+42=101']
Exploring Operation: 101-46=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Moving to Node #0,0,1
Current State: 79:[46, 101], Operations: ['34+8=42', '59+42=101']
Exploring Operation: 46+101=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[59, 46, 42], Operations: ['34+8=42']
Exploring Operation: 59+46=105, Resulting Numbers: [42, 105]
Generated Node #0,0,2: 79:[42, 105] Operation: 59+46=105
Moving to Node #0,0,2
Current State: 79:[42, 105], Operations: ['34+8=42', '59+46=105']
Exploring Operation: 105-42=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Moving to Node #0,0,2
Current State: 79:[42, 105], Operations: ['34+8=42', '59+46=105']
Exploring Operation: 42+105=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[59, 46, 42], Operations: ['34+8=42']
Exploring Operation: 59-42=17, Resulting Numbers: [46, 17]
Generated Node #0,0,3: 79:[46, 17] Operation: 59-42=17
Moving to Node #0,0,3
Current State: 79:[46, 17], Operations: ['34+8=42', '59-42=17']
Exploring Operation: 46+17=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Moving to Node #0,0,3
Current State: 79:[46, 17], Operations: ['34+8=42', '59-42=17']
Exploring Operation: 46-17=29, Resulting Numbers: [29]
29,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[59, 46, 42], Operations: ['34+8=42']
Exploring Operation: 46-42=4, Resulting Numbers: [59, 4]
Generated Node #0,0,4: 79:[59, 4] Operation: 46-42=4
Moving to Node #0,0,4
Current State: 79:[59, 4], Operations: ['34+8=42', '46-42=4']
Exploring Operation: 59+4=63, Resulting Numbers: [63]
63,79 unequal: No Solution
Moving to Node #0,0,4
Current State: 79:[59, 4], Operations: ['34+8=42', '46-42=4']
Exploring Operation: 59-4=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Moving to Node #0,0
Current State: 79:[59, 46, 42], Operations: ['34+8=42']
Exploring Operation: 59-46=13, Resulting Numbers: [42, 13]
Generated Node #0,0,5: 79:[42, 13] Operation: 59-46=13
Moving to Node #0,0,5
Current State: 79:[42, 13], Operations: ['34+8=42', '59-46=13']
Exploring Operation: 42+13=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Moving to Node #0,0,5
Current State: 79:[42, 13], Operations: ['34+8=42', '59-46=13']
Exploring Operation: 42-13=29, Resulting Numbers: [29]
29,79 unequal: No Solution
Moving to Node #0
Current State: 79:[34, 8, 59, 46], Operations: []
Exploring Operation: 8+59=67, Resulting Numbers: [34, 46, 67]
Generated Node #0,1: 79:[34, 46, 67] Operation: 8+59=67
Moving to Node #0,1
Current State: 79:[34, 46, 67], Operations: ['8+59=67']
Exploring Operation: 34+46=80, Resulting Numbers: [67, 80]
Generated Node #0,1,0: 79:[67, 80] Operation: 34+46=80
Moving to Node #0,1,0
Current State: 79:[67, 80], Operations: ['8+59=67', '34+46=80']
Exploring Operation: 80-67=13, Resulting Numbers: [13]
13,79 unequal: No Solution
Moving to Node #0,1,0
Current State: 79:[67, 80], Operations: ['8+59=67', '34+46=80']
Exploring Operation: 67+80=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Moving to Node #0,1
Current State: 79:[34, 46, 67], Operations: ['8+59=67']
Exploring Operation: 34+67=101, Resulting Numbers: [46, 101]
Generated Node #0,1,1: 79:[46, 101] Operation: 34+67=101
Moving to Node #0,1,1
Current State: 79:[46, 101], Operations: ['8+59=67', '34+67=101']
Exploring Operation: 101-46=55, Resulting Numbers: [55]
55,79 unequal: No Solution
Moving to Node #0,1,1
Current State: 79:[46, 101], Operations: ['8+59=67', '34+67=101']
Exploring Operation: 46+101=147, Resulting Numbers: [147]
147,79 unequal: No Solution
Moving to Node #0,1
Current State: 79:[34, 46, 67], Operations: ['8+59=67']
Exploring Operation: 46-34=12, Resulting Numbers: [67, 12]
Generated Node #0,1,2: 79:[67, 12] Operation: 46-34=12
Moving to Node #0,1,2
Current State: 79:[67, 12], Operations: ['8+59=67', '46-34=12']
Exploring Operation: 67+12=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 0.974826 | dfs | Current State: 79:[34, 8, 59, 46], Operations: []
Exploring Operation: 34-8=26, Resulting Numbers: [59, 46, 26]
Generated Node #2: [59, 46, 26] from Operation: 34-8=26
Current State: 79:[59, 46, 26], Operations: ['34-8=26']
Exploring Operation: 59+46=105, Resulting Numbers: [26, 105]
Generated Node #3: [26, 105] from Operation: 59+46=105
Current State: 79:[26, 105], Operations: ['34-8=26', '59+46=105']
Exploring Operation: 105-26=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| sum_heuristic |
[
19,
39,
73,
77
] | 37 | [
"77-73=4",
"19*4=76",
"76-39=37"
] | Current State: 37:[19, 39, 73, 77], Operations: []
Exploring Operation: 77-39=38, Resulting Numbers: [19, 73, 38]
Generated Node #0,0: 37:[19, 73, 38] Operation: 77-39=38
Exploring Operation: 73-19=54, Resulting Numbers: [39, 77, 54]
Generated Node #0,1: 37:[39, 77, 54] Operation: 73-19=54
Exploring Operation: 77-73=4, Resulting Numbers: [19, 39, 4]
Generated Node #0,2: 37:[19, 39, 4] Operation: 77-73=4
Exploring Operation: 77-19=58, Resulting Numbers: [39, 73, 58]
Generated Node #0,3: 37:[39, 73, 58] Operation: 77-19=58
Exploring Operation: 73-39=34, Resulting Numbers: [19, 77, 34]
Generated Node #0,4: 37:[19, 77, 34] Operation: 73-39=34
Moving to Node #0,2
Current State: 37:[19, 39, 4], Operations: ['77-73=4']
Exploring Operation: 19-4=15, Resulting Numbers: [39, 15]
Generated Node #0,2,0: 37:[39, 15] Operation: 19-4=15
Exploring Operation: 19+4=23, Resulting Numbers: [39, 23]
Generated Node #0,2,1: 37:[39, 23] Operation: 19+4=23
Exploring Operation: 39-4=35, Resulting Numbers: [19, 35]
Generated Node #0,2,2: 37:[19, 35] Operation: 39-4=35
Exploring Operation: 19*4=76, Resulting Numbers: [39, 76]
Generated Node #0,2,3: 37:[39, 76] Operation: 19*4=76
Exploring Operation: 39+4=43, Resulting Numbers: [19, 43]
Generated Node #0,2,4: 37:[19, 43] Operation: 39+4=43
Moving to Node #0,0
Current State: 37:[19, 73, 38], Operations: ['77-39=38']
Exploring Operation: 19+38=57, Resulting Numbers: [73, 57]
Generated Node #0,0,0: 37:[73, 57] Operation: 19+38=57
Exploring Operation: 38-19=19, Resulting Numbers: [73, 19]
Generated Node #0,0,1: 37:[73, 19] Operation: 38-19=19
Exploring Operation: 73-38=35, Resulting Numbers: [19, 35]
Generated Node #0,0,2: 37:[19, 35] Operation: 73-38=35
Exploring Operation: 19+73=92, Resulting Numbers: [38, 92]
Generated Node #0,0,3: 37:[38, 92] Operation: 19+73=92
Exploring Operation: 73-19=54, Resulting Numbers: [38, 54]
Generated Node #0,0,4: 37:[38, 54] Operation: 73-19=54
Moving to Node #0,1
Current State: 37:[39, 77, 54], Operations: ['73-19=54']
Exploring Operation: 77-39=38, Resulting Numbers: [54, 38]
Generated Node #0,1,0: 37:[54, 38] Operation: 77-39=38
Exploring Operation: 77-54=23, Resulting Numbers: [39, 23]
Generated Node #0,1,1: 37:[39, 23] Operation: 77-54=23
Exploring Operation: 54-39=15, Resulting Numbers: [77, 15]
Generated Node #0,1,2: 37:[77, 15] Operation: 54-39=15
Exploring Operation: 39+54=93, Resulting Numbers: [77, 93]
Generated Node #0,1,3: 37:[77, 93] Operation: 39+54=93
Exploring Operation: 39+77=116, Resulting Numbers: [54, 116]
Generated Node #0,1,4: 37:[54, 116] Operation: 39+77=116
Moving to Node #0,3
Current State: 37:[39, 73, 58], Operations: ['77-19=58']
Exploring Operation: 58-39=19, Resulting Numbers: [73, 19]
Generated Node #0,3,0: 37:[73, 19] Operation: 58-39=19
Exploring Operation: 39+58=97, Resulting Numbers: [73, 97]
Generated Node #0,3,1: 37:[73, 97] Operation: 39+58=97
Exploring Operation: 39+73=112, Resulting Numbers: [58, 112]
Generated Node #0,3,2: 37:[58, 112] Operation: 39+73=112
Exploring Operation: 73-58=15, Resulting Numbers: [39, 15]
Generated Node #0,3,3: 37:[39, 15] Operation: 73-58=15
Exploring Operation: 73-39=34, Resulting Numbers: [58, 34]
Generated Node #0,3,4: 37:[58, 34] Operation: 73-39=34
Moving to Node #0,4
Current State: 37:[19, 77, 34], Operations: ['73-39=34']
Exploring Operation: 19+34=53, Resulting Numbers: [77, 53]
Generated Node #0,4,0: 37:[77, 53] Operation: 19+34=53
Exploring Operation: 77-34=43, Resulting Numbers: [19, 43]
Generated Node #0,4,1: 37:[19, 43] Operation: 77-34=43
Exploring Operation: 19+77=96, Resulting Numbers: [34, 96]
Generated Node #0,4,2: 37:[34, 96] Operation: 19+77=96
Exploring Operation: 34-19=15, Resulting Numbers: [77, 15]
Generated Node #0,4,3: 37:[77, 15] Operation: 34-19=15
Exploring Operation: 77-19=58, Resulting Numbers: [34, 58]
Generated Node #0,4,4: 37:[34, 58] Operation: 77-19=58
Moving to Node #0,2,1
Current State: 37:[39, 23], Operations: ['77-73=4', '19+4=23']
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 39*23=897, Resulting Numbers: [897]
897,37 unequal: No Solution
Moving to Node #0,1,1
Current State: 37:[39, 23], Operations: ['73-19=54', '77-54=23']
Exploring Operation: 39*23=897, Resulting Numbers: [897]
897,37 unequal: No Solution
Exploring Operation: 39-23=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 39+23=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Moving to Node #0,0,4
Current State: 37:[38, 54], Operations: ['77-39=38', '73-19=54']
Exploring Operation: 38+54=92, Resulting Numbers: [92]
92,37 unequal: No Solution
Exploring Operation: 38*54=2052, Resulting Numbers: [2052]
2052,37 unequal: No Solution
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Moving to Node #0,1,0
Current State: 37:[54, 38], Operations: ['73-19=54', '77-39=38']
Exploring Operation: 54*38=2052, Resulting Numbers: [2052]
2052,37 unequal: No Solution
Exploring Operation: 54+38=92, Resulting Numbers: [92]
92,37 unequal: No Solution
Exploring Operation: 54-38=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Moving to Node #0,0,2
Current State: 37:[19, 35], Operations: ['77-39=38', '73-38=35']
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,37 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 37:[54], Operations: ['77-39=38', '73-38=35', '19+35=54']
Moving to Node #0,2,2
Current State: 37:[19, 35], Operations: ['77-73=4', '39-4=35']
Exploring Operation: 35-19=16, Resulting Numbers: [16]
16,37 unequal: No Solution
Exploring Operation: 19*35=665, Resulting Numbers: [665]
665,37 unequal: No Solution
Exploring Operation: 19+35=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 37:[16], Operations: ['73-19=54', '77-54=23', '39-23=16']
Moving to Node #0,1,0,0
Current State: 37:[16], Operations: ['73-19=54', '77-39=38', '54-38=16']
Moving to Node #0,0,4,0
Current State: 37:[16], Operations: ['77-39=38', '73-19=54', '54-38=16']
Moving to Node #0,2,2,0
Current State: 37:[54], Operations: ['77-73=4', '39-4=35', '19+35=54']
Moving to Node #0,2,1,0
Current State: 37:[16], Operations: ['77-73=4', '19+4=23', '39-23=16']
Moving to Node #0,0,2,0
Current State: 37:[16], Operations: ['77-39=38', '73-38=35', '35-19=16']
Moving to Node #0,2,2,0
Current State: 37:[16], Operations: ['77-73=4', '39-4=35', '35-19=16']
Moving to Node #0,2,0
Current State: 37:[39, 15], Operations: ['77-73=4', '19-4=15']
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,37 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 37:[24], Operations: ['77-73=4', '19-4=15', '39-15=24']
Moving to Node #0,2,0,0
Current State: 37:[54], Operations: ['77-73=4', '19-4=15', '39+15=54']
Moving to Node #0,4,4
Current State: 37:[34, 58], Operations: ['73-39=34', '77-19=58']
Exploring Operation: 58-34=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 34*58=1972, Resulting Numbers: [1972]
1972,37 unequal: No Solution
Exploring Operation: 34+58=92, Resulting Numbers: [92]
92,37 unequal: No Solution
Moving to Node #0,4,1
Current State: 37:[19, 43], Operations: ['73-39=34', '77-34=43']
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,37 unequal: No Solution
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Moving to Node #0,2,4
Current State: 37:[19, 43], Operations: ['77-73=4', '39+4=43']
Exploring Operation: 19+43=62, Resulting Numbers: [62]
62,37 unequal: No Solution
Exploring Operation: 43-19=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 19*43=817, Resulting Numbers: [817]
817,37 unequal: No Solution
Moving to Node #0,4,4,0
Current State: 37:[24], Operations: ['73-39=34', '77-19=58', '58-34=24']
Moving to Node #0,4,1,0
Current State: 37:[24], Operations: ['73-39=34', '77-34=43', '43-19=24']
Moving to Node #0,2,4,0
Current State: 37:[24], Operations: ['77-73=4', '39+4=43', '43-19=24']
Moving to Node #0,3,4
Current State: 37:[58, 34], Operations: ['77-19=58', '73-39=34']
Exploring Operation: 58-34=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 58+34=92, Resulting Numbers: [92]
92,37 unequal: No Solution
Exploring Operation: 58*34=1972, Resulting Numbers: [1972]
1972,37 unequal: No Solution
Moving to Node #0,3,3
Current State: 37:[39, 15], Operations: ['77-19=58', '73-58=15']
Exploring Operation: 39*15=585, Resulting Numbers: [585]
585,37 unequal: No Solution
Exploring Operation: 39-15=24, Resulting Numbers: [24]
24,37 unequal: No Solution
Exploring Operation: 39+15=54, Resulting Numbers: [54]
54,37 unequal: No Solution
Moving to Node #0,3,4,0
Current State: 37:[24], Operations: ['77-19=58', '73-39=34', '58-34=24']
Moving to Node #0,3,3,0
Current State: 37:[24], Operations: ['77-19=58', '73-58=15', '39-15=24']
Moving to Node #0,3,3,0
Current State: 37:[54], Operations: ['77-19=58', '73-58=15', '39+15=54']
Moving to Node #0,4,1,0
Current State: 37:[62], Operations: ['73-39=34', '77-34=43', '19+43=62']
Moving to Node #0,1,1,0
Current State: 37:[62], Operations: ['73-19=54', '77-54=23', '39+23=62']
Moving to Node #0,2,1,0
Current State: 37:[62], Operations: ['77-73=4', '19+4=23', '39+23=62']
Moving to Node #0,2,4,0
Current State: 37:[62], Operations: ['77-73=4', '39+4=43', '19+43=62']
Moving to Node #0,2,3
Current State: 37:[39, 76], Operations: ['77-73=4', '19*4=76']
Exploring Operation: 39+76=115, Resulting Numbers: [115]
115,37 unequal: No Solution
Exploring Operation: 39*76=2964, Resulting Numbers: [2964]
2964,37 unequal: No Solution
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 0.939236 | bfs_5 | Current State: 37:[19, 39, 73, 77], Operations: []
Exploring Operation: 77-73=4, Resulting Numbers: [19, 39, 4]
Generated Node #2: [19, 39, 4] from Operation: 77-73=4
Current State: 37:[19, 39, 4], Operations: ['77-73=4']
Exploring Operation: 19*4=76, Resulting Numbers: [39, 76]
Generated Node #3: [39, 76] from Operation: 19*4=76
Current State: 37:[39, 76], Operations: ['77-73=4', '19*4=76']
Exploring Operation: 76-39=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| mult_heuristic |
[
4,
17,
78,
13
] | 23 | [
"4*17=68",
"78+13=91",
"91-68=23"
] | Current State: 23:[4, 17, 78, 13], Operations: []
Exploring Operation: 78/13=6, Resulting Numbers: [4, 17, 6]
Generated Node #0,0: 23:[4, 17, 6] Operation: 78/13=6
Exploring Operation: 4+17=21, Resulting Numbers: [78, 13, 21]
Generated Node #0,1: 23:[78, 13, 21] Operation: 4+17=21
Moving to Node #0,0
Current State: 23:[4, 17, 6], Operations: ['78/13=6']
Exploring Operation: 4+17=21, Resulting Numbers: [6, 21]
Generated Node #0,0,0: 23:[6, 21] Operation: 4+17=21
Exploring Operation: 4*6=24, Resulting Numbers: [17, 24]
Generated Node #0,0,1: 23:[17, 24] Operation: 4*6=24
Moving to Node #0,1
Current State: 23:[78, 13, 21], Operations: ['4+17=21']
Exploring Operation: 78-13=65, Resulting Numbers: [21, 65]
Generated Node #0,1,0: 23:[21, 65] Operation: 78-13=65
Exploring Operation: 78/13=6, Resulting Numbers: [21, 6]
Generated Node #0,1,1: 23:[21, 6] Operation: 78/13=6
Moving to Node #0,0,1
Current State: 23:[17, 24], Operations: ['78/13=6', '4*6=24']
Exploring Operation: 17+24=41, Resulting Numbers: [41]
41,23 unequal: No Solution
Exploring Operation: 24-17=7, Resulting Numbers: [7]
7,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[21, 6], Operations: ['4+17=21', '78/13=6']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,23 unequal: No Solution
Exploring Operation: 21+6=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 23:[27], Operations: ['4+17=21', '78/13=6', '21+6=27']
Moving to Node #0,1,1,0
Current State: 23:[15], Operations: ['4+17=21', '78/13=6', '21-6=15']
Moving to Node #0,0,0
Current State: 23:[6, 21], Operations: ['78/13=6', '4+17=21']
Exploring Operation: 21-6=15, Resulting Numbers: [15]
15,23 unequal: No Solution
Exploring Operation: 6+21=27, Resulting Numbers: [27]
27,23 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 23:[7], Operations: ['78/13=6', '4*6=24', '24-17=7']
Moving to Node #0,0,0,0
Current State: 23:[27], Operations: ['78/13=6', '4+17=21', '6+21=27']
Moving to Node #0,0,0,0
Current State: 23:[15], Operations: ['78/13=6', '4+17=21', '21-6=15']
Moving to Node #0,0,1,0
Current State: 23:[41], Operations: ['78/13=6', '4*6=24', '17+24=41']
Moving to Node #0,1,0
Current State: 23:[21, 65], Operations: ['4+17=21', '78-13=65']
Exploring Operation: 65-21=44, Resulting Numbers: [44]
44,23 unequal: No Solution
Exploring Operation: 21+65=86, Resulting Numbers: [86]
86,23 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 23:[44], Operations: ['4+17=21', '78-13=65', '65-21=44']
Moving to Node #0,1,0,0
Current State: 23:[86], Operations: ['4+17=21', '78-13=65', '21+65=86']
No solution found. | 0 | bfs_2 | Current State: 23:[4, 17, 78, 13], Operations: []
Exploring Operation: 4*17=68, Resulting Numbers: [78, 13, 68]
Generated Node #2: [78, 13, 68] from Operation: 4*17=68
Current State: 23:[78, 13, 68], Operations: ['4*17=68']
Exploring Operation: 78+13=91, Resulting Numbers: [68, 91]
Generated Node #3: [68, 91] from Operation: 78+13=91
Current State: 23:[68, 91], Operations: ['4*17=68', '78+13=91']
Exploring Operation: 91-68=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| sum_heuristic |
[
17,
55,
10,
65
] | 100 | [
"17*55=935",
"65+935=1000",
"1000/10=100"
] | Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 17*10=170, Resulting Numbers: [55, 65, 170]
Generated Node #0,0: 100:[55, 65, 170] Operation: 17*10=170
Moving to Node #0,0
Current State: 100:[55, 65, 170], Operations: ['17*10=170']
Exploring Operation: 170-55=115, Resulting Numbers: [65, 115]
Generated Node #0,0,0: 100:[65, 115] Operation: 170-55=115
Moving to Node #0,0,0
Current State: 100:[65, 115], Operations: ['17*10=170', '170-55=115']
Exploring Operation: 115-65=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Moving to Node #0,0,0
Current State: 100:[65, 115], Operations: ['17*10=170', '170-55=115']
Exploring Operation: 65+115=180, Resulting Numbers: [180]
180,100 unequal: No Solution
Moving to Node #0,0
Current State: 100:[55, 65, 170], Operations: ['17*10=170']
Exploring Operation: 170-65=105, Resulting Numbers: [55, 105]
Generated Node #0,0,1: 100:[55, 105] Operation: 170-65=105
Moving to Node #0,0,1
Current State: 100:[55, 105], Operations: ['17*10=170', '170-65=105']
Exploring Operation: 105-55=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[55, 105], Operations: ['17*10=170', '170-65=105']
Exploring Operation: 55+105=160, Resulting Numbers: [160]
160,100 unequal: No Solution
Moving to Node #0,0
Current State: 100:[55, 65, 170], Operations: ['17*10=170']
Exploring Operation: 55+65=120, Resulting Numbers: [170, 120]
Generated Node #0,0,2: 100:[170, 120] Operation: 55+65=120
Moving to Node #0,0,2
Current State: 100:[170, 120], Operations: ['17*10=170', '55+65=120']
Exploring Operation: 170-120=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Moving to Node #0,0
Current State: 100:[55, 65, 170], Operations: ['17*10=170']
Exploring Operation: 65-55=10, Resulting Numbers: [170, 10]
Generated Node #0,0,3: 100:[170, 10] Operation: 65-55=10
Moving to Node #0,0,3
Current State: 100:[170, 10], Operations: ['17*10=170', '65-55=10']
Exploring Operation: 170-10=160, Resulting Numbers: [160]
160,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[170, 10], Operations: ['17*10=170', '65-55=10']
Exploring Operation: 170+10=180, Resulting Numbers: [180]
180,100 unequal: No Solution
Moving to Node #0,0,3
Current State: 100:[170, 10], Operations: ['17*10=170', '65-55=10']
Exploring Operation: 170/10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,0
Current State: 100:[55, 65, 170], Operations: ['17*10=170']
Exploring Operation: 55+170=225, Resulting Numbers: [65, 225]
Generated Node #0,0,4: 100:[65, 225] Operation: 55+170=225
Moving to Node #0,0,4
Current State: 100:[65, 225], Operations: ['17*10=170', '55+170=225']
Exploring Operation: 225-65=160, Resulting Numbers: [160]
160,100 unequal: No Solution
Moving to Node #0,0
Current State: 100:[55, 65, 170], Operations: ['17*10=170']
Exploring Operation: 65+170=235, Resulting Numbers: [55, 235]
Generated Node #0,0,5: 100:[55, 235] Operation: 65+170=235
Moving to Node #0,0,5
Current State: 100:[55, 235], Operations: ['17*10=170', '65+170=235']
Exploring Operation: 235-55=180, Resulting Numbers: [180]
180,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 17+55=72, Resulting Numbers: [10, 65, 72]
Generated Node #0,1: 100:[10, 65, 72] Operation: 17+55=72
Moving to Node #0,1
Current State: 100:[10, 65, 72], Operations: ['17+55=72']
Exploring Operation: 10+65=75, Resulting Numbers: [72, 75]
Generated Node #0,1,0: 100:[72, 75] Operation: 10+65=75
Moving to Node #0,1,0
Current State: 100:[72, 75], Operations: ['17+55=72', '10+65=75']
Exploring Operation: 72+75=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,1,0
Current State: 100:[72, 75], Operations: ['17+55=72', '10+65=75']
Exploring Operation: 75-72=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,1
Current State: 100:[10, 65, 72], Operations: ['17+55=72']
Exploring Operation: 10+72=82, Resulting Numbers: [65, 82]
Generated Node #0,1,1: 100:[65, 82] Operation: 10+72=82
Moving to Node #0,1,1
Current State: 100:[65, 82], Operations: ['17+55=72', '10+72=82']
Exploring Operation: 65+82=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[65, 82], Operations: ['17+55=72', '10+72=82']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,1
Current State: 100:[10, 65, 72], Operations: ['17+55=72']
Exploring Operation: 65-10=55, Resulting Numbers: [72, 55]
Generated Node #0,1,2: 100:[72, 55] Operation: 65-10=55
Moving to Node #0,1,2
Current State: 100:[72, 55], Operations: ['17+55=72', '65-10=55']
Exploring Operation: 72+55=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,1,2
Current State: 100:[72, 55], Operations: ['17+55=72', '65-10=55']
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,1
Current State: 100:[10, 65, 72], Operations: ['17+55=72']
Exploring Operation: 72-10=62, Resulting Numbers: [65, 62]
Generated Node #0,1,3: 100:[65, 62] Operation: 72-10=62
Moving to Node #0,1,3
Current State: 100:[65, 62], Operations: ['17+55=72', '72-10=62']
Exploring Operation: 65+62=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,1,3
Current State: 100:[65, 62], Operations: ['17+55=72', '72-10=62']
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,1
Current State: 100:[10, 65, 72], Operations: ['17+55=72']
Exploring Operation: 65+72=137, Resulting Numbers: [10, 137]
Generated Node #0,1,4: 100:[10, 137] Operation: 65+72=137
Moving to Node #0,1,4
Current State: 100:[10, 137], Operations: ['17+55=72', '65+72=137']
Exploring Operation: 137-10=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,1,4
Current State: 100:[10, 137], Operations: ['17+55=72', '65+72=137']
Exploring Operation: 10+137=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,1
Current State: 100:[10, 65, 72], Operations: ['17+55=72']
Exploring Operation: 72-65=7, Resulting Numbers: [10, 7]
Generated Node #0,1,5: 100:[10, 7] Operation: 72-65=7
Moving to Node #0,1,5
Current State: 100:[10, 7], Operations: ['17+55=72', '72-65=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Moving to Node #0,1,5
Current State: 100:[10, 7], Operations: ['17+55=72', '72-65=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,1,5
Current State: 100:[10, 7], Operations: ['17+55=72', '72-65=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 17+10=27, Resulting Numbers: [55, 65, 27]
Generated Node #0,2: 100:[55, 65, 27] Operation: 17+10=27
Moving to Node #0,2
Current State: 100:[55, 65, 27], Operations: ['17+10=27']
Exploring Operation: 55+27=82, Resulting Numbers: [65, 82]
Generated Node #0,2,0: 100:[65, 82] Operation: 55+27=82
Moving to Node #0,2,0
Current State: 100:[65, 82], Operations: ['17+10=27', '55+27=82']
Exploring Operation: 65+82=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,2,0
Current State: 100:[65, 82], Operations: ['17+10=27', '55+27=82']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,2
Current State: 100:[55, 65, 27], Operations: ['17+10=27']
Exploring Operation: 65+27=92, Resulting Numbers: [55, 92]
Generated Node #0,2,1: 100:[55, 92] Operation: 65+27=92
Moving to Node #0,2,1
Current State: 100:[55, 92], Operations: ['17+10=27', '65+27=92']
Exploring Operation: 55+92=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,2,1
Current State: 100:[55, 92], Operations: ['17+10=27', '65+27=92']
Exploring Operation: 92-55=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,2
Current State: 100:[55, 65, 27], Operations: ['17+10=27']
Exploring Operation: 55+65=120, Resulting Numbers: [27, 120]
Generated Node #0,2,2: 100:[27, 120] Operation: 55+65=120
Moving to Node #0,2,2
Current State: 100:[27, 120], Operations: ['17+10=27', '55+65=120']
Exploring Operation: 120-27=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,2,2
Current State: 100:[27, 120], Operations: ['17+10=27', '55+65=120']
Exploring Operation: 27+120=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,2
Current State: 100:[55, 65, 27], Operations: ['17+10=27']
Exploring Operation: 55-27=28, Resulting Numbers: [65, 28]
Generated Node #0,2,3: 100:[65, 28] Operation: 55-27=28
Moving to Node #0,2,3
Current State: 100:[65, 28], Operations: ['17+10=27', '55-27=28']
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,2,3
Current State: 100:[65, 28], Operations: ['17+10=27', '55-27=28']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,2
Current State: 100:[55, 65, 27], Operations: ['17+10=27']
Exploring Operation: 65-27=38, Resulting Numbers: [55, 38]
Generated Node #0,2,4: 100:[55, 38] Operation: 65-27=38
Moving to Node #0,2,4
Current State: 100:[55, 38], Operations: ['17+10=27', '65-27=38']
Exploring Operation: 55+38=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,2,4
Current State: 100:[55, 38], Operations: ['17+10=27', '65-27=38']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,2
Current State: 100:[55, 65, 27], Operations: ['17+10=27']
Exploring Operation: 65-55=10, Resulting Numbers: [27, 10]
Generated Node #0,2,5: 100:[27, 10] Operation: 65-55=10
Moving to Node #0,2,5
Current State: 100:[27, 10], Operations: ['17+10=27', '65-55=10']
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,2,5
Current State: 100:[27, 10], Operations: ['17+10=27', '65-55=10']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 17+65=82, Resulting Numbers: [55, 10, 82]
Generated Node #0,3: 100:[55, 10, 82] Operation: 17+65=82
Moving to Node #0,3
Current State: 100:[55, 10, 82], Operations: ['17+65=82']
Exploring Operation: 55+10=65, Resulting Numbers: [82, 65]
Generated Node #0,3,0: 100:[82, 65] Operation: 55+10=65
Moving to Node #0,3,0
Current State: 100:[82, 65], Operations: ['17+65=82', '55+10=65']
Exploring Operation: 82+65=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,3,0
Current State: 100:[82, 65], Operations: ['17+65=82', '55+10=65']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,3
Current State: 100:[55, 10, 82], Operations: ['17+65=82']
Exploring Operation: 10+82=92, Resulting Numbers: [55, 92]
Generated Node #0,3,1: 100:[55, 92] Operation: 10+82=92
Moving to Node #0,3,1
Current State: 100:[55, 92], Operations: ['17+65=82', '10+82=92']
Exploring Operation: 55+92=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,3,1
Current State: 100:[55, 92], Operations: ['17+65=82', '10+82=92']
Exploring Operation: 92-55=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,3
Current State: 100:[55, 10, 82], Operations: ['17+65=82']
Exploring Operation: 55-10=45, Resulting Numbers: [82, 45]
Generated Node #0,3,2: 100:[82, 45] Operation: 55-10=45
Moving to Node #0,3,2
Current State: 100:[82, 45], Operations: ['17+65=82', '55-10=45']
Exploring Operation: 82+45=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,3,2
Current State: 100:[82, 45], Operations: ['17+65=82', '55-10=45']
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,3
Current State: 100:[55, 10, 82], Operations: ['17+65=82']
Exploring Operation: 82-10=72, Resulting Numbers: [55, 72]
Generated Node #0,3,3: 100:[55, 72] Operation: 82-10=72
Moving to Node #0,3,3
Current State: 100:[55, 72], Operations: ['17+65=82', '82-10=72']
Exploring Operation: 55+72=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,3,3
Current State: 100:[55, 72], Operations: ['17+65=82', '82-10=72']
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,3
Current State: 100:[55, 10, 82], Operations: ['17+65=82']
Exploring Operation: 55+82=137, Resulting Numbers: [10, 137]
Generated Node #0,3,4: 100:[10, 137] Operation: 55+82=137
Moving to Node #0,3,4
Current State: 100:[10, 137], Operations: ['17+65=82', '55+82=137']
Exploring Operation: 137-10=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,3,4
Current State: 100:[10, 137], Operations: ['17+65=82', '55+82=137']
Exploring Operation: 10+137=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,3
Current State: 100:[55, 10, 82], Operations: ['17+65=82']
Exploring Operation: 82-55=27, Resulting Numbers: [10, 27]
Generated Node #0,3,5: 100:[10, 27] Operation: 82-55=27
Moving to Node #0,3,5
Current State: 100:[10, 27], Operations: ['17+65=82', '82-55=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,3,5
Current State: 100:[10, 27], Operations: ['17+65=82', '82-55=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 55+10=65, Resulting Numbers: [17, 65, 65]
Generated Node #0,4: 100:[17, 65, 65] Operation: 55+10=65
Moving to Node #0,4
Current State: 100:[17, 65, 65], Operations: ['55+10=65']
Exploring Operation: 17+65=82, Resulting Numbers: [65, 82]
Generated Node #0,4,0: 100:[65, 82] Operation: 17+65=82
Moving to Node #0,4,0
Current State: 100:[65, 82], Operations: ['55+10=65', '17+65=82']
Exploring Operation: 65+82=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,4,0
Current State: 100:[65, 82], Operations: ['55+10=65', '17+65=82']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,4
Current State: 100:[17, 65, 65], Operations: ['55+10=65']
Exploring Operation: 17+65=82, Resulting Numbers: [65, 82]
Generated Node #0,4,1: 100:[65, 82] Operation: 17+65=82
Moving to Node #0,4,1
Current State: 100:[65, 82], Operations: ['55+10=65', '17+65=82']
Exploring Operation: 65+82=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,4,1
Current State: 100:[65, 82], Operations: ['55+10=65', '17+65=82']
Exploring Operation: 82-65=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,4
Current State: 100:[17, 65, 65], Operations: ['55+10=65']
Exploring Operation: 65-17=48, Resulting Numbers: [65, 48]
Generated Node #0,4,2: 100:[65, 48] Operation: 65-17=48
Moving to Node #0,4,2
Current State: 100:[65, 48], Operations: ['55+10=65', '65-17=48']
Exploring Operation: 65+48=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,4,2
Current State: 100:[65, 48], Operations: ['55+10=65', '65-17=48']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,4
Current State: 100:[17, 65, 65], Operations: ['55+10=65']
Exploring Operation: 65-17=48, Resulting Numbers: [65, 48]
Generated Node #0,4,3: 100:[65, 48] Operation: 65-17=48
Moving to Node #0,4,3
Current State: 100:[65, 48], Operations: ['55+10=65', '65-17=48']
Exploring Operation: 65+48=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,4,3
Current State: 100:[65, 48], Operations: ['55+10=65', '65-17=48']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,4
Current State: 100:[17, 65, 65], Operations: ['55+10=65']
Exploring Operation: 65+65=130, Resulting Numbers: [17, 130]
Generated Node #0,4,4: 100:[17, 130] Operation: 65+65=130
Moving to Node #0,4,4
Current State: 100:[17, 130], Operations: ['55+10=65', '65+65=130']
Exploring Operation: 130-17=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,4,4
Current State: 100:[17, 130], Operations: ['55+10=65', '65+65=130']
Exploring Operation: 17+130=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,4
Current State: 100:[17, 65, 65], Operations: ['55+10=65']
Exploring Operation: 65/65=1, Resulting Numbers: [17, 1]
Generated Node #0,4,5: 100:[17, 1] Operation: 65/65=1
Moving to Node #0,4,5
Current State: 100:[17, 1], Operations: ['55+10=65', '65/65=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Moving to Node #0,4,5
Current State: 100:[17, 1], Operations: ['55+10=65', '65/65=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,4,5
Current State: 100:[17, 1], Operations: ['55+10=65', '65/65=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,4,5
Current State: 100:[17, 1], Operations: ['55+10=65', '65/65=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Moving to Node #0,4
Current State: 100:[17, 65, 65], Operations: ['55+10=65']
Exploring Operation: 65-65=0, Resulting Numbers: [17, 0]
Generated Node #0,4,6: 100:[17, 0] Operation: 65-65=0
Moving to Node #0,4,6
Current State: 100:[17, 0], Operations: ['55+10=65', '65-65=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,4,6
Current State: 100:[17, 0], Operations: ['55+10=65', '65-65=0']
Exploring Operation: 17-0=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,4,6
Current State: 100:[17, 0], Operations: ['55+10=65', '65-65=0']
Exploring Operation: 17*0=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 10+65=75, Resulting Numbers: [17, 55, 75]
Generated Node #0,5: 100:[17, 55, 75] Operation: 10+65=75
Moving to Node #0,5
Current State: 100:[17, 55, 75], Operations: ['10+65=75']
Exploring Operation: 17+55=72, Resulting Numbers: [75, 72]
Generated Node #0,5,0: 100:[75, 72] Operation: 17+55=72
Moving to Node #0,5,0
Current State: 100:[75, 72], Operations: ['10+65=75', '17+55=72']
Exploring Operation: 75+72=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,5,0
Current State: 100:[75, 72], Operations: ['10+65=75', '17+55=72']
Exploring Operation: 75-72=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,5
Current State: 100:[17, 55, 75], Operations: ['10+65=75']
Exploring Operation: 17+75=92, Resulting Numbers: [55, 92]
Generated Node #0,5,1: 100:[55, 92] Operation: 17+75=92
Moving to Node #0,5,1
Current State: 100:[55, 92], Operations: ['10+65=75', '17+75=92']
Exploring Operation: 55+92=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,5,1
Current State: 100:[55, 92], Operations: ['10+65=75', '17+75=92']
Exploring Operation: 92-55=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,5
Current State: 100:[17, 55, 75], Operations: ['10+65=75']
Exploring Operation: 55-17=38, Resulting Numbers: [75, 38]
Generated Node #0,5,2: 100:[75, 38] Operation: 55-17=38
Moving to Node #0,5,2
Current State: 100:[75, 38], Operations: ['10+65=75', '55-17=38']
Exploring Operation: 75+38=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,5,2
Current State: 100:[75, 38], Operations: ['10+65=75', '55-17=38']
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,5
Current State: 100:[17, 55, 75], Operations: ['10+65=75']
Exploring Operation: 75-17=58, Resulting Numbers: [55, 58]
Generated Node #0,5,3: 100:[55, 58] Operation: 75-17=58
Moving to Node #0,5,3
Current State: 100:[55, 58], Operations: ['10+65=75', '75-17=58']
Exploring Operation: 55+58=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,5,3
Current State: 100:[55, 58], Operations: ['10+65=75', '75-17=58']
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,5
Current State: 100:[17, 55, 75], Operations: ['10+65=75']
Exploring Operation: 55+75=130, Resulting Numbers: [17, 130]
Generated Node #0,5,4: 100:[17, 130] Operation: 55+75=130
Moving to Node #0,5,4
Current State: 100:[17, 130], Operations: ['10+65=75', '55+75=130']
Exploring Operation: 130-17=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,5,4
Current State: 100:[17, 130], Operations: ['10+65=75', '55+75=130']
Exploring Operation: 17+130=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,5
Current State: 100:[17, 55, 75], Operations: ['10+65=75']
Exploring Operation: 75-55=20, Resulting Numbers: [17, 20]
Generated Node #0,5,5: 100:[17, 20] Operation: 75-55=20
Moving to Node #0,5,5
Current State: 100:[17, 20], Operations: ['10+65=75', '75-55=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,5,5
Current State: 100:[17, 20], Operations: ['10+65=75', '75-55=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 17-10=7, Resulting Numbers: [55, 65, 7]
Generated Node #0,6: 100:[55, 65, 7] Operation: 17-10=7
Moving to Node #0,6
Current State: 100:[55, 65, 7], Operations: ['17-10=7']
Exploring Operation: 55+7=62, Resulting Numbers: [65, 62]
Generated Node #0,6,0: 100:[65, 62] Operation: 55+7=62
Moving to Node #0,6,0
Current State: 100:[65, 62], Operations: ['17-10=7', '55+7=62']
Exploring Operation: 65+62=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,6,0
Current State: 100:[65, 62], Operations: ['17-10=7', '55+7=62']
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,6
Current State: 100:[55, 65, 7], Operations: ['17-10=7']
Exploring Operation: 65+7=72, Resulting Numbers: [55, 72]
Generated Node #0,6,1: 100:[55, 72] Operation: 65+7=72
Moving to Node #0,6,1
Current State: 100:[55, 72], Operations: ['17-10=7', '65+7=72']
Exploring Operation: 55+72=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,6,1
Current State: 100:[55, 72], Operations: ['17-10=7', '65+7=72']
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,6
Current State: 100:[55, 65, 7], Operations: ['17-10=7']
Exploring Operation: 55-7=48, Resulting Numbers: [65, 48]
Generated Node #0,6,2: 100:[65, 48] Operation: 55-7=48
Moving to Node #0,6,2
Current State: 100:[65, 48], Operations: ['17-10=7', '55-7=48']
Exploring Operation: 65+48=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,6,2
Current State: 100:[65, 48], Operations: ['17-10=7', '55-7=48']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,6
Current State: 100:[55, 65, 7], Operations: ['17-10=7']
Exploring Operation: 65-7=58, Resulting Numbers: [55, 58]
Generated Node #0,6,3: 100:[55, 58] Operation: 65-7=58
Moving to Node #0,6,3
Current State: 100:[55, 58], Operations: ['17-10=7', '65-7=58']
Exploring Operation: 55+58=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,6,3
Current State: 100:[55, 58], Operations: ['17-10=7', '65-7=58']
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,6
Current State: 100:[55, 65, 7], Operations: ['17-10=7']
Exploring Operation: 55+65=120, Resulting Numbers: [7, 120]
Generated Node #0,6,4: 100:[7, 120] Operation: 55+65=120
Moving to Node #0,6,4
Current State: 100:[7, 120], Operations: ['17-10=7', '55+65=120']
Exploring Operation: 120-7=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,6,4
Current State: 100:[7, 120], Operations: ['17-10=7', '55+65=120']
Exploring Operation: 7+120=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,6
Current State: 100:[55, 65, 7], Operations: ['17-10=7']
Exploring Operation: 65-55=10, Resulting Numbers: [7, 10]
Generated Node #0,6,5: 100:[7, 10] Operation: 65-55=10
Moving to Node #0,6,5
Current State: 100:[7, 10], Operations: ['17-10=7', '65-55=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Moving to Node #0,6,5
Current State: 100:[7, 10], Operations: ['17-10=7', '65-55=10']
Exploring Operation: 7+10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,6,5
Current State: 100:[7, 10], Operations: ['17-10=7', '65-55=10']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 55-10=45, Resulting Numbers: [17, 65, 45]
Generated Node #0,7: 100:[17, 65, 45] Operation: 55-10=45
Moving to Node #0,7
Current State: 100:[17, 65, 45], Operations: ['55-10=45']
Exploring Operation: 17+65=82, Resulting Numbers: [45, 82]
Generated Node #0,7,0: 100:[45, 82] Operation: 17+65=82
Moving to Node #0,7,0
Current State: 100:[45, 82], Operations: ['55-10=45', '17+65=82']
Exploring Operation: 45+82=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,7,0
Current State: 100:[45, 82], Operations: ['55-10=45', '17+65=82']
Exploring Operation: 82-45=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,7
Current State: 100:[17, 65, 45], Operations: ['55-10=45']
Exploring Operation: 17+45=62, Resulting Numbers: [65, 62]
Generated Node #0,7,1: 100:[65, 62] Operation: 17+45=62
Moving to Node #0,7,1
Current State: 100:[65, 62], Operations: ['55-10=45', '17+45=62']
Exploring Operation: 65+62=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,7,1
Current State: 100:[65, 62], Operations: ['55-10=45', '17+45=62']
Exploring Operation: 65-62=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,7
Current State: 100:[17, 65, 45], Operations: ['55-10=45']
Exploring Operation: 65+45=110, Resulting Numbers: [17, 110]
Generated Node #0,7,2: 100:[17, 110] Operation: 65+45=110
Moving to Node #0,7,2
Current State: 100:[17, 110], Operations: ['55-10=45', '65+45=110']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,7,2
Current State: 100:[17, 110], Operations: ['55-10=45', '65+45=110']
Exploring Operation: 17+110=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,7
Current State: 100:[17, 65, 45], Operations: ['55-10=45']
Exploring Operation: 65-17=48, Resulting Numbers: [45, 48]
Generated Node #0,7,3: 100:[45, 48] Operation: 65-17=48
Moving to Node #0,7,3
Current State: 100:[45, 48], Operations: ['55-10=45', '65-17=48']
Exploring Operation: 45+48=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,7,3
Current State: 100:[45, 48], Operations: ['55-10=45', '65-17=48']
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,7
Current State: 100:[17, 65, 45], Operations: ['55-10=45']
Exploring Operation: 45-17=28, Resulting Numbers: [65, 28]
Generated Node #0,7,4: 100:[65, 28] Operation: 45-17=28
Moving to Node #0,7,4
Current State: 100:[65, 28], Operations: ['55-10=45', '45-17=28']
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,7,4
Current State: 100:[65, 28], Operations: ['55-10=45', '45-17=28']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,7
Current State: 100:[17, 65, 45], Operations: ['55-10=45']
Exploring Operation: 65-45=20, Resulting Numbers: [17, 20]
Generated Node #0,7,5: 100:[17, 20] Operation: 65-45=20
Moving to Node #0,7,5
Current State: 100:[17, 20], Operations: ['55-10=45', '65-45=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,7,5
Current State: 100:[17, 20], Operations: ['55-10=45', '65-45=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 65-10=55, Resulting Numbers: [17, 55, 55]
Generated Node #0,8: 100:[17, 55, 55] Operation: 65-10=55
Moving to Node #0,8
Current State: 100:[17, 55, 55], Operations: ['65-10=55']
Exploring Operation: 17+55=72, Resulting Numbers: [55, 72]
Generated Node #0,8,0: 100:[55, 72] Operation: 17+55=72
Moving to Node #0,8,0
Current State: 100:[55, 72], Operations: ['65-10=55', '17+55=72']
Exploring Operation: 55+72=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,8,0
Current State: 100:[55, 72], Operations: ['65-10=55', '17+55=72']
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,8
Current State: 100:[17, 55, 55], Operations: ['65-10=55']
Exploring Operation: 17+55=72, Resulting Numbers: [55, 72]
Generated Node #0,8,1: 100:[55, 72] Operation: 17+55=72
Moving to Node #0,8,1
Current State: 100:[55, 72], Operations: ['65-10=55', '17+55=72']
Exploring Operation: 55+72=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,8,1
Current State: 100:[55, 72], Operations: ['65-10=55', '17+55=72']
Exploring Operation: 72-55=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,8
Current State: 100:[17, 55, 55], Operations: ['65-10=55']
Exploring Operation: 55+55=110, Resulting Numbers: [17, 110]
Generated Node #0,8,2: 100:[17, 110] Operation: 55+55=110
Moving to Node #0,8,2
Current State: 100:[17, 110], Operations: ['65-10=55', '55+55=110']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,8,2
Current State: 100:[17, 110], Operations: ['65-10=55', '55+55=110']
Exploring Operation: 17+110=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,8
Current State: 100:[17, 55, 55], Operations: ['65-10=55']
Exploring Operation: 55-17=38, Resulting Numbers: [55, 38]
Generated Node #0,8,3: 100:[55, 38] Operation: 55-17=38
Moving to Node #0,8,3
Current State: 100:[55, 38], Operations: ['65-10=55', '55-17=38']
Exploring Operation: 55+38=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,8,3
Current State: 100:[55, 38], Operations: ['65-10=55', '55-17=38']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,8
Current State: 100:[17, 55, 55], Operations: ['65-10=55']
Exploring Operation: 55-17=38, Resulting Numbers: [55, 38]
Generated Node #0,8,4: 100:[55, 38] Operation: 55-17=38
Moving to Node #0,8,4
Current State: 100:[55, 38], Operations: ['65-10=55', '55-17=38']
Exploring Operation: 55+38=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,8,4
Current State: 100:[55, 38], Operations: ['65-10=55', '55-17=38']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,8
Current State: 100:[17, 55, 55], Operations: ['65-10=55']
Exploring Operation: 55/55=1, Resulting Numbers: [17, 1]
Generated Node #0,8,5: 100:[17, 1] Operation: 55/55=1
Moving to Node #0,8,5
Current State: 100:[17, 1], Operations: ['65-10=55', '55/55=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Moving to Node #0,8,5
Current State: 100:[17, 1], Operations: ['65-10=55', '55/55=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,8,5
Current State: 100:[17, 1], Operations: ['65-10=55', '55/55=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,8,5
Current State: 100:[17, 1], Operations: ['65-10=55', '55/55=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Moving to Node #0,8
Current State: 100:[17, 55, 55], Operations: ['65-10=55']
Exploring Operation: 55-55=0, Resulting Numbers: [17, 0]
Generated Node #0,8,6: 100:[17, 0] Operation: 55-55=0
Moving to Node #0,8,6
Current State: 100:[17, 0], Operations: ['65-10=55', '55-55=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,8,6
Current State: 100:[17, 0], Operations: ['65-10=55', '55-55=0']
Exploring Operation: 17-0=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,8,6
Current State: 100:[17, 0], Operations: ['65-10=55', '55-55=0']
Exploring Operation: 17*0=0, Resulting Numbers: [0]
0,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 55-17=38, Resulting Numbers: [10, 65, 38]
Generated Node #0,9: 100:[10, 65, 38] Operation: 55-17=38
Moving to Node #0,9
Current State: 100:[10, 65, 38], Operations: ['55-17=38']
Exploring Operation: 10+65=75, Resulting Numbers: [38, 75]
Generated Node #0,9,0: 100:[38, 75] Operation: 10+65=75
Moving to Node #0,9,0
Current State: 100:[38, 75], Operations: ['55-17=38', '10+65=75']
Exploring Operation: 38+75=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,9,0
Current State: 100:[38, 75], Operations: ['55-17=38', '10+65=75']
Exploring Operation: 75-38=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,9
Current State: 100:[10, 65, 38], Operations: ['55-17=38']
Exploring Operation: 10+38=48, Resulting Numbers: [65, 48]
Generated Node #0,9,1: 100:[65, 48] Operation: 10+38=48
Moving to Node #0,9,1
Current State: 100:[65, 48], Operations: ['55-17=38', '10+38=48']
Exploring Operation: 65+48=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,9,1
Current State: 100:[65, 48], Operations: ['55-17=38', '10+38=48']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,9
Current State: 100:[10, 65, 38], Operations: ['55-17=38']
Exploring Operation: 65+38=103, Resulting Numbers: [10, 103]
Generated Node #0,9,2: 100:[10, 103] Operation: 65+38=103
Moving to Node #0,9,2
Current State: 100:[10, 103], Operations: ['55-17=38', '65+38=103']
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,9,2
Current State: 100:[10, 103], Operations: ['55-17=38', '65+38=103']
Exploring Operation: 10+103=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,9
Current State: 100:[10, 65, 38], Operations: ['55-17=38']
Exploring Operation: 65-10=55, Resulting Numbers: [38, 55]
Generated Node #0,9,3: 100:[38, 55] Operation: 65-10=55
Moving to Node #0,9,3
Current State: 100:[38, 55], Operations: ['55-17=38', '65-10=55']
Exploring Operation: 38+55=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,9,3
Current State: 100:[38, 55], Operations: ['55-17=38', '65-10=55']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,9
Current State: 100:[10, 65, 38], Operations: ['55-17=38']
Exploring Operation: 38-10=28, Resulting Numbers: [65, 28]
Generated Node #0,9,4: 100:[65, 28] Operation: 38-10=28
Moving to Node #0,9,4
Current State: 100:[65, 28], Operations: ['55-17=38', '38-10=28']
Exploring Operation: 65+28=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,9,4
Current State: 100:[65, 28], Operations: ['55-17=38', '38-10=28']
Exploring Operation: 65-28=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,9
Current State: 100:[10, 65, 38], Operations: ['55-17=38']
Exploring Operation: 65-38=27, Resulting Numbers: [10, 27]
Generated Node #0,9,5: 100:[10, 27] Operation: 65-38=27
Moving to Node #0,9,5
Current State: 100:[10, 27], Operations: ['55-17=38', '65-38=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,9,5
Current State: 100:[10, 27], Operations: ['55-17=38', '65-38=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 65-17=48, Resulting Numbers: [55, 10, 48]
Generated Node #0,10: 100:[55, 10, 48] Operation: 65-17=48
Moving to Node #0,10
Current State: 100:[55, 10, 48], Operations: ['65-17=48']
Exploring Operation: 55+10=65, Resulting Numbers: [48, 65]
Generated Node #0,10,0: 100:[48, 65] Operation: 55+10=65
Moving to Node #0,10,0
Current State: 100:[48, 65], Operations: ['65-17=48', '55+10=65']
Exploring Operation: 48+65=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,10,0
Current State: 100:[48, 65], Operations: ['65-17=48', '55+10=65']
Exploring Operation: 65-48=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,10
Current State: 100:[55, 10, 48], Operations: ['65-17=48']
Exploring Operation: 10+48=58, Resulting Numbers: [55, 58]
Generated Node #0,10,1: 100:[55, 58] Operation: 10+48=58
Moving to Node #0,10,1
Current State: 100:[55, 58], Operations: ['65-17=48', '10+48=58']
Exploring Operation: 55+58=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,10,1
Current State: 100:[55, 58], Operations: ['65-17=48', '10+48=58']
Exploring Operation: 58-55=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,10
Current State: 100:[55, 10, 48], Operations: ['65-17=48']
Exploring Operation: 55+48=103, Resulting Numbers: [10, 103]
Generated Node #0,10,2: 100:[10, 103] Operation: 55+48=103
Moving to Node #0,10,2
Current State: 100:[10, 103], Operations: ['65-17=48', '55+48=103']
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,10,2
Current State: 100:[10, 103], Operations: ['65-17=48', '55+48=103']
Exploring Operation: 10+103=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,10
Current State: 100:[55, 10, 48], Operations: ['65-17=48']
Exploring Operation: 55-10=45, Resulting Numbers: [48, 45]
Generated Node #0,10,3: 100:[48, 45] Operation: 55-10=45
Moving to Node #0,10,3
Current State: 100:[48, 45], Operations: ['65-17=48', '55-10=45']
Exploring Operation: 48+45=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,10,3
Current State: 100:[48, 45], Operations: ['65-17=48', '55-10=45']
Exploring Operation: 48-45=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,10
Current State: 100:[55, 10, 48], Operations: ['65-17=48']
Exploring Operation: 48-10=38, Resulting Numbers: [55, 38]
Generated Node #0,10,4: 100:[55, 38] Operation: 48-10=38
Moving to Node #0,10,4
Current State: 100:[55, 38], Operations: ['65-17=48', '48-10=38']
Exploring Operation: 55+38=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,10,4
Current State: 100:[55, 38], Operations: ['65-17=48', '48-10=38']
Exploring Operation: 55-38=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,10
Current State: 100:[55, 10, 48], Operations: ['65-17=48']
Exploring Operation: 55-48=7, Resulting Numbers: [10, 7]
Generated Node #0,10,5: 100:[10, 7] Operation: 55-48=7
Moving to Node #0,10,5
Current State: 100:[10, 7], Operations: ['65-17=48', '55-48=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Moving to Node #0,10,5
Current State: 100:[10, 7], Operations: ['65-17=48', '55-48=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,10,5
Current State: 100:[10, 7], Operations: ['65-17=48', '55-48=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 55+65=120, Resulting Numbers: [17, 10, 120]
Generated Node #0,11: 100:[17, 10, 120] Operation: 55+65=120
Moving to Node #0,11
Current State: 100:[17, 10, 120], Operations: ['55+65=120']
Exploring Operation: 17*10=170, Resulting Numbers: [120, 170]
Generated Node #0,11,0: 100:[120, 170] Operation: 17*10=170
Moving to Node #0,11,0
Current State: 100:[120, 170], Operations: ['55+65=120', '17*10=170']
Exploring Operation: 170-120=50, Resulting Numbers: [50]
50,100 unequal: No Solution
Moving to Node #0,11
Current State: 100:[17, 10, 120], Operations: ['55+65=120']
Exploring Operation: 17+10=27, Resulting Numbers: [120, 27]
Generated Node #0,11,1: 100:[120, 27] Operation: 17+10=27
Moving to Node #0,11,1
Current State: 100:[120, 27], Operations: ['55+65=120', '17+10=27']
Exploring Operation: 120-27=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,11,1
Current State: 100:[120, 27], Operations: ['55+65=120', '17+10=27']
Exploring Operation: 120+27=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,11
Current State: 100:[17, 10, 120], Operations: ['55+65=120']
Exploring Operation: 120-17=103, Resulting Numbers: [10, 103]
Generated Node #0,11,2: 100:[10, 103] Operation: 120-17=103
Moving to Node #0,11,2
Current State: 100:[10, 103], Operations: ['55+65=120', '120-17=103']
Exploring Operation: 103-10=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,11,2
Current State: 100:[10, 103], Operations: ['55+65=120', '120-17=103']
Exploring Operation: 10+103=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,11
Current State: 100:[17, 10, 120], Operations: ['55+65=120']
Exploring Operation: 120-10=110, Resulting Numbers: [17, 110]
Generated Node #0,11,3: 100:[17, 110] Operation: 120-10=110
Moving to Node #0,11,3
Current State: 100:[17, 110], Operations: ['55+65=120', '120-10=110']
Exploring Operation: 110-17=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,11,3
Current State: 100:[17, 110], Operations: ['55+65=120', '120-10=110']
Exploring Operation: 17+110=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,11
Current State: 100:[17, 10, 120], Operations: ['55+65=120']
Exploring Operation: 17-10=7, Resulting Numbers: [120, 7]
Generated Node #0,11,4: 100:[120, 7] Operation: 17-10=7
Moving to Node #0,11,4
Current State: 100:[120, 7], Operations: ['55+65=120', '17-10=7']
Exploring Operation: 120-7=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,11,4
Current State: 100:[120, 7], Operations: ['55+65=120', '17-10=7']
Exploring Operation: 120+7=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,11
Current State: 100:[17, 10, 120], Operations: ['55+65=120']
Exploring Operation: 10+120=130, Resulting Numbers: [17, 130]
Generated Node #0,11,5: 100:[17, 130] Operation: 10+120=130
Moving to Node #0,11,5
Current State: 100:[17, 130], Operations: ['55+65=120', '10+120=130']
Exploring Operation: 130-17=113, Resulting Numbers: [113]
113,100 unequal: No Solution
Moving to Node #0,11,5
Current State: 100:[17, 130], Operations: ['55+65=120', '10+120=130']
Exploring Operation: 17+130=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,11
Current State: 100:[17, 10, 120], Operations: ['55+65=120']
Exploring Operation: 17+120=137, Resulting Numbers: [10, 137]
Generated Node #0,11,6: 100:[10, 137] Operation: 17+120=137
Moving to Node #0,11,6
Current State: 100:[10, 137], Operations: ['55+65=120', '17+120=137']
Exploring Operation: 137-10=127, Resulting Numbers: [127]
127,100 unequal: No Solution
Moving to Node #0,11,6
Current State: 100:[10, 137], Operations: ['55+65=120', '17+120=137']
Exploring Operation: 10+137=147, Resulting Numbers: [147]
147,100 unequal: No Solution
Moving to Node #0,11
Current State: 100:[17, 10, 120], Operations: ['55+65=120']
Exploring Operation: 120/10=12, Resulting Numbers: [17, 12]
Generated Node #0,11,7: 100:[17, 12] Operation: 120/10=12
Moving to Node #0,11,7
Current State: 100:[17, 12], Operations: ['55+65=120', '120/10=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,100 unequal: No Solution
Moving to Node #0,11,7
Current State: 100:[17, 12], Operations: ['55+65=120', '120/10=12']
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,100 unequal: No Solution
Moving to Node #0
Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 65-55=10, Resulting Numbers: [17, 10, 10]
Generated Node #0,12: 100:[17, 10, 10] Operation: 65-55=10
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 10*10=100, Resulting Numbers: [17, 100]
Generated Node #0,12,0: 100:[17, 100] Operation: 10*10=100
Moving to Node #0,12,0
Current State: 100:[17, 100], Operations: ['65-55=10', '10*10=100']
Exploring Operation: 17+100=117, Resulting Numbers: [117]
117,100 unequal: No Solution
Moving to Node #0,12,0
Current State: 100:[17, 100], Operations: ['65-55=10', '10*10=100']
Exploring Operation: 100-17=83, Resulting Numbers: [83]
83,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 17*10=170, Resulting Numbers: [10, 170]
Generated Node #0,12,1: 100:[10, 170] Operation: 17*10=170
Moving to Node #0,12,1
Current State: 100:[10, 170], Operations: ['65-55=10', '17*10=170']
Exploring Operation: 170-10=160, Resulting Numbers: [160]
160,100 unequal: No Solution
Moving to Node #0,12,1
Current State: 100:[10, 170], Operations: ['65-55=10', '17*10=170']
Exploring Operation: 10+170=180, Resulting Numbers: [180]
180,100 unequal: No Solution
Moving to Node #0,12,1
Current State: 100:[10, 170], Operations: ['65-55=10', '17*10=170']
Exploring Operation: 170/10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 17*10=170, Resulting Numbers: [10, 170]
Generated Node #0,12,2: 100:[10, 170] Operation: 17*10=170
Moving to Node #0,12,2
Current State: 100:[10, 170], Operations: ['65-55=10', '17*10=170']
Exploring Operation: 170-10=160, Resulting Numbers: [160]
160,100 unequal: No Solution
Moving to Node #0,12,2
Current State: 100:[10, 170], Operations: ['65-55=10', '17*10=170']
Exploring Operation: 10+170=180, Resulting Numbers: [180]
180,100 unequal: No Solution
Moving to Node #0,12,2
Current State: 100:[10, 170], Operations: ['65-55=10', '17*10=170']
Exploring Operation: 170/10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 17+10=27, Resulting Numbers: [10, 27]
Generated Node #0,12,3: 100:[10, 27] Operation: 17+10=27
Moving to Node #0,12,3
Current State: 100:[10, 27], Operations: ['65-55=10', '17+10=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,12,3
Current State: 100:[10, 27], Operations: ['65-55=10', '17+10=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 17+10=27, Resulting Numbers: [10, 27]
Generated Node #0,12,4: 100:[10, 27] Operation: 17+10=27
Moving to Node #0,12,4
Current State: 100:[10, 27], Operations: ['65-55=10', '17+10=27']
Exploring Operation: 10+27=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,12,4
Current State: 100:[10, 27], Operations: ['65-55=10', '17+10=27']
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 10+10=20, Resulting Numbers: [17, 20]
Generated Node #0,12,5: 100:[17, 20] Operation: 10+10=20
Moving to Node #0,12,5
Current State: 100:[17, 20], Operations: ['65-55=10', '10+10=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,100 unequal: No Solution
Moving to Node #0,12,5
Current State: 100:[17, 20], Operations: ['65-55=10', '10+10=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 10/10=1, Resulting Numbers: [17, 1]
Generated Node #0,12,6: 100:[17, 1] Operation: 10/10=1
Moving to Node #0,12,6
Current State: 100:[17, 1], Operations: ['65-55=10', '10/10=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,100 unequal: No Solution
Moving to Node #0,12,6
Current State: 100:[17, 1], Operations: ['65-55=10', '10/10=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12,6
Current State: 100:[17, 1], Operations: ['65-55=10', '10/10=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12,6
Current State: 100:[17, 1], Operations: ['65-55=10', '10/10=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 17-10=7, Resulting Numbers: [10, 7]
Generated Node #0,12,7: 100:[10, 7] Operation: 17-10=7
Moving to Node #0,12,7
Current State: 100:[10, 7], Operations: ['65-55=10', '17-10=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Moving to Node #0,12,7
Current State: 100:[10, 7], Operations: ['65-55=10', '17-10=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12,7
Current State: 100:[10, 7], Operations: ['65-55=10', '17-10=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 17-10=7, Resulting Numbers: [10, 7]
Generated Node #0,12,8: 100:[10, 7] Operation: 17-10=7
Moving to Node #0,12,8
Current State: 100:[10, 7], Operations: ['65-55=10', '17-10=7']
Exploring Operation: 10*7=70, Resulting Numbers: [70]
70,100 unequal: No Solution
Moving to Node #0,12,8
Current State: 100:[10, 7], Operations: ['65-55=10', '17-10=7']
Exploring Operation: 10+7=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12,8
Current State: 100:[10, 7], Operations: ['65-55=10', '17-10=7']
Exploring Operation: 10-7=3, Resulting Numbers: [3]
3,100 unequal: No Solution
Moving to Node #0,12
Current State: 100:[17, 10, 10], Operations: ['65-55=10']
Exploring Operation: 10-10=0, Resulting Numbers: [17, 0]
Generated Node #0,12,9: 100:[17, 0] Operation: 10-10=0
Moving to Node #0,12,9
Current State: 100:[17, 0], Operations: ['65-55=10', '10-10=0']
Exploring Operation: 17+0=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12,9
Current State: 100:[17, 0], Operations: ['65-55=10', '10-10=0']
Exploring Operation: 17-0=17, Resulting Numbers: [17]
17,100 unequal: No Solution
Moving to Node #0,12,9
Current State: 100:[17, 0], Operations: ['65-55=10', '10-10=0']
Exploring Operation: 17*0=0, Resulting Numbers: [0]
0,100 unequal: No Solution
| 0 | dfs | Current State: 100:[17, 55, 10, 65], Operations: []
Exploring Operation: 17*55=935, Resulting Numbers: [10, 65, 935]
Generated Node #2: [10, 65, 935] from Operation: 17*55=935
Current State: 100:[10, 65, 935], Operations: ['17*55=935']
Exploring Operation: 65+935=1000, Resulting Numbers: [10, 1000]
Generated Node #3: [10, 1000] from Operation: 65+935=1000
Current State: 100:[10, 1000], Operations: ['17*55=935', '65+935=1000']
Exploring Operation: 1000/10=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| sum_heuristic |
[
42,
53,
60,
14
] | 35 | [
"53-42=11",
"60-14=46",
"46-11=35"
] | Current State: 35:[42, 53, 60, 14], Operations: []
Exploring Operation: 53-14=39, Resulting Numbers: [42, 60, 39]
Generated Node #0,0: 35:[42, 60, 39] Operation: 53-14=39
Moving to Node #0,0
Current State: 35:[42, 60, 39], Operations: ['53-14=39']
Exploring Operation: 60-42=18, Resulting Numbers: [39, 18]
Generated Node #0,0,0: 35:[39, 18] Operation: 60-42=18
Moving to Node #0,0,0
Current State: 35:[39, 18], Operations: ['53-14=39', '60-42=18']
Exploring Operation: 39-18=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Moving to Node #0,0,0
Current State: 35:[39, 18], Operations: ['53-14=39', '60-42=18']
Exploring Operation: 39+18=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Moving to Node #0,0
Current State: 35:[42, 60, 39], Operations: ['53-14=39']
Exploring Operation: 60-39=21, Resulting Numbers: [42, 21]
Generated Node #0,0,1: 35:[42, 21] Operation: 60-39=21
Moving to Node #0,0,1
Current State: 35:[42, 21], Operations: ['53-14=39', '60-39=21']
Exploring Operation: 42-21=21, Resulting Numbers: [21]
21,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[42, 21], Operations: ['53-14=39', '60-39=21']
Exploring Operation: 42+21=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Moving to Node #0,0,1
Current State: 35:[42, 21], Operations: ['53-14=39', '60-39=21']
Exploring Operation: 42/21=2, Resulting Numbers: [2]
2,35 unequal: No Solution
Moving to Node #0,0
Current State: 35:[42, 60, 39], Operations: ['53-14=39']
Exploring Operation: 42-39=3, Resulting Numbers: [60, 3]
Generated Node #0,0,2: 35:[60, 3] Operation: 42-39=3
Moving to Node #0,0,2
Current State: 35:[60, 3], Operations: ['53-14=39', '42-39=3']
Exploring Operation: 60/3=20, Resulting Numbers: [20]
20,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[60, 3], Operations: ['53-14=39', '42-39=3']
Exploring Operation: 60-3=57, Resulting Numbers: [57]
57,35 unequal: No Solution
Moving to Node #0,0,2
Current State: 35:[60, 3], Operations: ['53-14=39', '42-39=3']
Exploring Operation: 60+3=63, Resulting Numbers: [63]
63,35 unequal: No Solution
Moving to Node #0
Current State: 35:[42, 53, 60, 14], Operations: []
Exploring Operation: 60-14=46, Resulting Numbers: [42, 53, 46]
Generated Node #0,1: 35:[42, 53, 46] Operation: 60-14=46
Moving to Node #0,1
Current State: 35:[42, 53, 46], Operations: ['60-14=46']
Exploring Operation: 53-42=11, Resulting Numbers: [46, 11]
Generated Node #0,1,0: 35:[46, 11] Operation: 53-42=11
Moving to Node #0,1,0
Current State: 35:[46, 11], Operations: ['60-14=46', '53-42=11']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 0.986111 | dfs | Current State: 35:[42, 53, 60, 14], Operations: []
Exploring Operation: 53-42=11, Resulting Numbers: [60, 14, 11]
Generated Node #2: [60, 14, 11] from Operation: 53-42=11
Current State: 35:[60, 14, 11], Operations: ['53-42=11']
Exploring Operation: 60-14=46, Resulting Numbers: [11, 46]
Generated Node #3: [11, 46] from Operation: 60-14=46
Current State: 35:[11, 46], Operations: ['53-42=11', '60-14=46']
Exploring Operation: 46-11=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| sum_heuristic |
[
88,
44,
35,
55
] | 28 | [
"88-44=44",
"35*44=1540",
"1540/55=28"
] | Current State: 28:[88, 44, 35, 55], Operations: []
Exploring Operation: 88-55=33, Resulting Numbers: [44, 35, 33]
Generated Node #0,0: 28:[44, 35, 33] Operation: 88-55=33
Exploring Operation: 88-44=44, Resulting Numbers: [35, 55, 44]
Generated Node #0,1: 28:[35, 55, 44] Operation: 88-44=44
Moving to Node #0,0
Current State: 28:[44, 35, 33], Operations: ['88-55=33']
Exploring Operation: 44-35=9, Resulting Numbers: [33, 9]
Generated Node #0,0,0: 28:[33, 9] Operation: 44-35=9
Exploring Operation: 44-33=11, Resulting Numbers: [35, 11]
Generated Node #0,0,1: 28:[35, 11] Operation: 44-33=11
Moving to Node #0,1
Current State: 28:[35, 55, 44], Operations: ['88-44=44']
Exploring Operation: 55-35=20, Resulting Numbers: [44, 20]
Generated Node #0,1,0: 28:[44, 20] Operation: 55-35=20
Exploring Operation: 55-44=11, Resulting Numbers: [35, 11]
Generated Node #0,1,1: 28:[35, 11] Operation: 55-44=11
Moving to Node #0,0,0
Current State: 28:[33, 9], Operations: ['88-55=33', '44-35=9']
Exploring Operation: 33-9=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 33+9=42, Resulting Numbers: [42]
42,28 unequal: No Solution
Moving to Node #0,1,0
Current State: 28:[44, 20], Operations: ['88-44=44', '55-35=20']
Exploring Operation: 44-20=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 44+20=64, Resulting Numbers: [64]
64,28 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 28:[24], Operations: ['88-55=33', '44-35=9', '33-9=24']
Moving to Node #0,1,0,0
Current State: 28:[24], Operations: ['88-44=44', '55-35=20', '44-20=24']
Moving to Node #0,0,1
Current State: 28:[35, 11], Operations: ['88-55=33', '44-33=11']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Moving to Node #0,1,1
Current State: 28:[35, 11], Operations: ['88-44=44', '55-44=11']
Exploring Operation: 35-11=24, Resulting Numbers: [24]
24,28 unequal: No Solution
Exploring Operation: 35+11=46, Resulting Numbers: [46]
46,28 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 28:[24], Operations: ['88-55=33', '44-33=11', '35-11=24']
Moving to Node #0,1,1,0
Current State: 28:[24], Operations: ['88-44=44', '55-44=11', '35-11=24']
Moving to Node #0,0,0,0
Current State: 28:[42], Operations: ['88-55=33', '44-35=9', '33+9=42']
Moving to Node #0,1,1,0
Current State: 28:[46], Operations: ['88-44=44', '55-44=11', '35+11=46']
Moving to Node #0,0,1,0
Current State: 28:[46], Operations: ['88-55=33', '44-33=11', '35+11=46']
Moving to Node #0,1,0,0
Current State: 28:[64], Operations: ['88-44=44', '55-35=20', '44+20=64']
No solution found. | 0 | bfs_2 | Current State: 28:[88, 44, 35, 55], Operations: []
Exploring Operation: 88-44=44, Resulting Numbers: [35, 55, 44]
Generated Node #2: [35, 55, 44] from Operation: 88-44=44
Current State: 28:[35, 55, 44], Operations: ['88-44=44']
Exploring Operation: 35*44=1540, Resulting Numbers: [55, 1540]
Generated Node #3: [55, 1540] from Operation: 35*44=1540
Current State: 28:[55, 1540], Operations: ['88-44=44', '35*44=1540']
Exploring Operation: 1540/55=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| sum_heuristic |
[
50,
91,
25,
9
] | 98 | [
"50/25=2",
"91+9=100",
"100-2=98"
] | Current State: 98:[50, 91, 25, 9], Operations: []
Exploring Operation: 50+25=75, Resulting Numbers: [91, 9, 75]
Generated Node #0,0: 98:[91, 9, 75] Operation: 50+25=75
Exploring Operation: 50+9=59, Resulting Numbers: [91, 25, 59]
Generated Node #0,1: 98:[91, 25, 59] Operation: 50+9=59
Moving to Node #0,0
Current State: 98:[91, 9, 75], Operations: ['50+25=75']
Exploring Operation: 9+75=84, Resulting Numbers: [91, 84]
Generated Node #0,0,0: 98:[91, 84] Operation: 9+75=84
Exploring Operation: 91+9=100, Resulting Numbers: [75, 100]
Generated Node #0,0,1: 98:[75, 100] Operation: 91+9=100
Moving to Node #0,1
Current State: 98:[91, 25, 59], Operations: ['50+9=59']
Exploring Operation: 91+25=116, Resulting Numbers: [59, 116]
Generated Node #0,1,0: 98:[59, 116] Operation: 91+25=116
Exploring Operation: 25+59=84, Resulting Numbers: [91, 84]
Generated Node #0,1,1: 98:[91, 84] Operation: 25+59=84
Moving to Node #0,0,0
Current State: 98:[91, 84], Operations: ['50+25=75', '9+75=84']
Exploring Operation: 91-84=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 91+84=175, Resulting Numbers: [175]
175,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[91, 84], Operations: ['50+9=59', '25+59=84']
Exploring Operation: 91-84=7, Resulting Numbers: [7]
7,98 unequal: No Solution
Exploring Operation: 91+84=175, Resulting Numbers: [175]
175,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[75, 100], Operations: ['50+25=75', '91+9=100']
Exploring Operation: 100-75=25, Resulting Numbers: [25]
25,98 unequal: No Solution
Exploring Operation: 75+100=175, Resulting Numbers: [175]
175,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[59, 116], Operations: ['50+9=59', '91+25=116']
Exploring Operation: 59+116=175, Resulting Numbers: [175]
175,98 unequal: No Solution
Exploring Operation: 116-59=57, Resulting Numbers: [57]
57,98 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 98:[57], Operations: ['50+9=59', '91+25=116', '116-59=57']
Moving to Node #0,0,1,0
Current State: 98:[25], Operations: ['50+25=75', '91+9=100', '100-75=25']
Moving to Node #0,0,1,0
Current State: 98:[175], Operations: ['50+25=75', '91+9=100', '75+100=175']
Moving to Node #0,0,0,0
Current State: 98:[175], Operations: ['50+25=75', '9+75=84', '91+84=175']
Moving to Node #0,1,1,0
Current State: 98:[175], Operations: ['50+9=59', '25+59=84', '91+84=175']
Moving to Node #0,1,0,0
Current State: 98:[175], Operations: ['50+9=59', '91+25=116', '59+116=175']
Moving to Node #0,0,0,0
Current State: 98:[7], Operations: ['50+25=75', '9+75=84', '91-84=7']
Moving to Node #0,1,1,0
Current State: 98:[7], Operations: ['50+9=59', '25+59=84', '91-84=7']
No solution found. | 0 | bfs_2 | Current State: 98:[50, 91, 25, 9], Operations: []
Exploring Operation: 50/25=2, Resulting Numbers: [91, 9, 2]
Generated Node #2: [91, 9, 2] from Operation: 50/25=2
Current State: 98:[91, 9, 2], Operations: ['50/25=2']
Exploring Operation: 91+9=100, Resulting Numbers: [2, 100]
Generated Node #3: [2, 100] from Operation: 91+9=100
Current State: 98:[2, 100], Operations: ['50/25=2', '91+9=100']
Exploring Operation: 100-2=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| sum_heuristic |
[
30,
96,
11,
9
] | 27 | [
"30+96=126",
"11*9=99",
"126-99=27"
] | Current State: 27:[30, 96, 11, 9], Operations: []
| 0 | dfs | Current State: 27:[30, 96, 11, 9], Operations: []
Exploring Operation: 30+96=126, Resulting Numbers: [11, 9, 126]
Generated Node #2: [11, 9, 126] from Operation: 30+96=126
Current State: 27:[11, 9, 126], Operations: ['30+96=126']
Exploring Operation: 11*9=99, Resulting Numbers: [126, 99]
Generated Node #3: [126, 99] from Operation: 11*9=99
Current State: 27:[126, 99], Operations: ['30+96=126', '11*9=99']
Exploring Operation: 126-99=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| mult_heuristic |
[
28,
91,
20,
73
] | 56 | [
"91-20=71",
"73-71=2",
"28*2=56"
] | Current State: 56:[28, 91, 20, 73], Operations: []
Exploring Operation: 91-28=63, Resulting Numbers: [20, 73, 63]
Generated Node #0,0: 56:[20, 73, 63] Operation: 91-28=63
Exploring Operation: 91-20=71, Resulting Numbers: [28, 73, 71]
Generated Node #0,1: 56:[28, 73, 71] Operation: 91-20=71
Exploring Operation: 28+20=48, Resulting Numbers: [91, 73, 48]
Generated Node #0,2: 56:[91, 73, 48] Operation: 28+20=48
Exploring Operation: 73-20=53, Resulting Numbers: [28, 91, 53]
Generated Node #0,3: 56:[28, 91, 53] Operation: 73-20=53
Moving to Node #0,0
Current State: 56:[20, 73, 63], Operations: ['91-28=63']
Exploring Operation: 20+73=93, Resulting Numbers: [63, 93]
Generated Node #0,0,0: 56:[63, 93] Operation: 20+73=93
Exploring Operation: 63-20=43, Resulting Numbers: [73, 43]
Generated Node #0,0,1: 56:[73, 43] Operation: 63-20=43
Exploring Operation: 73-20=53, Resulting Numbers: [63, 53]
Generated Node #0,0,2: 56:[63, 53] Operation: 73-20=53
Exploring Operation: 20+63=83, Resulting Numbers: [73, 83]
Generated Node #0,0,3: 56:[73, 83] Operation: 20+63=83
Moving to Node #0,2
Current State: 56:[91, 73, 48], Operations: ['28+20=48']
Exploring Operation: 91+48=139, Resulting Numbers: [73, 139]
Generated Node #0,2,0: 56:[73, 139] Operation: 91+48=139
Exploring Operation: 73-48=25, Resulting Numbers: [91, 25]
Generated Node #0,2,1: 56:[91, 25] Operation: 73-48=25
Exploring Operation: 91-73=18, Resulting Numbers: [48, 18]
Generated Node #0,2,2: 56:[48, 18] Operation: 91-73=18
Exploring Operation: 91-48=43, Resulting Numbers: [73, 43]
Generated Node #0,2,3: 56:[73, 43] Operation: 91-48=43
Moving to Node #0,1
Current State: 56:[28, 73, 71], Operations: ['91-20=71']
Exploring Operation: 28+73=101, Resulting Numbers: [71, 101]
Generated Node #0,1,0: 56:[71, 101] Operation: 28+73=101
Exploring Operation: 28+71=99, Resulting Numbers: [73, 99]
Generated Node #0,1,1: 56:[73, 99] Operation: 28+71=99
Exploring Operation: 71-28=43, Resulting Numbers: [73, 43]
Generated Node #0,1,2: 56:[73, 43] Operation: 71-28=43
Exploring Operation: 73-28=45, Resulting Numbers: [71, 45]
Generated Node #0,1,3: 56:[71, 45] Operation: 73-28=45
Moving to Node #0,3
Current State: 56:[28, 91, 53], Operations: ['73-20=53']
Exploring Operation: 28+53=81, Resulting Numbers: [91, 81]
Generated Node #0,3,0: 56:[91, 81] Operation: 28+53=81
Exploring Operation: 91-53=38, Resulting Numbers: [28, 38]
Generated Node #0,3,1: 56:[28, 38] Operation: 91-53=38
Exploring Operation: 28+91=119, Resulting Numbers: [53, 119]
Generated Node #0,3,2: 56:[53, 119] Operation: 28+91=119
Exploring Operation: 91-28=63, Resulting Numbers: [53, 63]
Generated Node #0,3,3: 56:[53, 63] Operation: 91-28=63
Moving to Node #0,0,2
Current State: 56:[63, 53], Operations: ['91-28=63', '73-20=53']
Exploring Operation: 63+53=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 63*53=3339, Resulting Numbers: [3339]
3339,56 unequal: No Solution
Moving to Node #0,3,3
Current State: 56:[53, 63], Operations: ['73-20=53', '91-28=63']
Exploring Operation: 53*63=3339, Resulting Numbers: [3339]
3339,56 unequal: No Solution
Exploring Operation: 53+63=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Exploring Operation: 63-53=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Moving to Node #0,1,3
Current State: 56:[71, 45], Operations: ['91-20=71', '73-28=45']
Exploring Operation: 71*45=3195, Resulting Numbers: [3195]
3195,56 unequal: No Solution
Exploring Operation: 71-45=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Exploring Operation: 71+45=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Moving to Node #0,2,3
Current State: 56:[73, 43], Operations: ['28+20=48', '91-48=43']
Exploring Operation: 73+43=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 73*43=3139, Resulting Numbers: [3139]
3139,56 unequal: No Solution
Moving to Node #0,1,2
Current State: 56:[73, 43], Operations: ['91-20=71', '71-28=43']
Exploring Operation: 73+43=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Exploring Operation: 73*43=3139, Resulting Numbers: [3139]
3139,56 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Moving to Node #0,0,1
Current State: 56:[73, 43], Operations: ['91-28=63', '63-20=43']
Exploring Operation: 73*43=3139, Resulting Numbers: [3139]
3139,56 unequal: No Solution
Exploring Operation: 73-43=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 73+43=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Moving to Node #0,0,0
Current State: 56:[63, 93], Operations: ['91-28=63', '20+73=93']
Exploring Operation: 63+93=156, Resulting Numbers: [156]
156,56 unequal: No Solution
Exploring Operation: 93-63=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 63*93=5859, Resulting Numbers: [5859]
5859,56 unequal: No Solution
Moving to Node #0,0,3
Current State: 56:[73, 83], Operations: ['91-28=63', '20+63=83']
Exploring Operation: 73*83=6059, Resulting Numbers: [6059]
6059,56 unequal: No Solution
Exploring Operation: 73+83=156, Resulting Numbers: [156]
156,56 unequal: No Solution
Exploring Operation: 83-73=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Moving to Node #0,3,1
Current State: 56:[28, 38], Operations: ['73-20=53', '91-53=38']
Exploring Operation: 28*38=1064, Resulting Numbers: [1064]
1064,56 unequal: No Solution
Exploring Operation: 28+38=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Exploring Operation: 38-28=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Moving to Node #0,2,2
Current State: 56:[48, 18], Operations: ['28+20=48', '91-73=18']
Exploring Operation: 48+18=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Exploring Operation: 48*18=864, Resulting Numbers: [864]
864,56 unequal: No Solution
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 56:[30], Operations: ['91-28=63', '63-20=43', '73-43=30']
Moving to Node #0,0,0,0
Current State: 56:[30], Operations: ['91-28=63', '20+73=93', '93-63=30']
Moving to Node #0,3,1,0
Current State: 56:[66], Operations: ['73-20=53', '91-53=38', '28+38=66']
Moving to Node #0,2,2,0
Current State: 56:[66], Operations: ['28+20=48', '91-73=18', '48+18=66']
Moving to Node #0,2,3,0
Current State: 56:[30], Operations: ['28+20=48', '91-48=43', '73-43=30']
Moving to Node #0,1,2,0
Current State: 56:[30], Operations: ['91-20=71', '71-28=43', '73-43=30']
Moving to Node #0,2,2,0
Current State: 56:[30], Operations: ['28+20=48', '91-73=18', '48-18=30']
Moving to Node #0,1,1
Current State: 56:[73, 99], Operations: ['91-20=71', '28+71=99']
Exploring Operation: 73*99=7227, Resulting Numbers: [7227]
7227,56 unequal: No Solution
Exploring Operation: 73+99=172, Resulting Numbers: [172]
172,56 unequal: No Solution
Exploring Operation: 99-73=26, Resulting Numbers: [26]
26,56 unequal: No Solution
Moving to Node #0,1,0
Current State: 56:[71, 101], Operations: ['91-20=71', '28+73=101']
Exploring Operation: 101-71=30, Resulting Numbers: [30]
30,56 unequal: No Solution
Exploring Operation: 71+101=172, Resulting Numbers: [172]
172,56 unequal: No Solution
Exploring Operation: 71*101=7171, Resulting Numbers: [7171]
7171,56 unequal: No Solution
Moving to Node #0,3,0
Current State: 56:[91, 81], Operations: ['73-20=53', '28+53=81']
Exploring Operation: 91*81=7371, Resulting Numbers: [7371]
7371,56 unequal: No Solution
Exploring Operation: 91-81=10, Resulting Numbers: [10]
10,56 unequal: No Solution
Exploring Operation: 91+81=172, Resulting Numbers: [172]
172,56 unequal: No Solution
Moving to Node #0,1,0,0
Current State: 56:[30], Operations: ['91-20=71', '28+73=101', '101-71=30']
Moving to Node #0,1,3,0
Current State: 56:[26], Operations: ['91-20=71', '73-28=45', '71-45=26']
Moving to Node #0,1,1,0
Current State: 56:[26], Operations: ['91-20=71', '28+71=99', '99-73=26']
Moving to Node #0,2,1
Current State: 56:[91, 25], Operations: ['28+20=48', '73-48=25']
Exploring Operation: 91+25=116, Resulting Numbers: [116]
116,56 unequal: No Solution
Exploring Operation: 91*25=2275, Resulting Numbers: [2275]
2275,56 unequal: No Solution
Exploring Operation: 91-25=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 56:[66], Operations: ['28+20=48', '73-48=25', '91-25=66']
Moving to Node #0,3,2
Current State: 56:[53, 119], Operations: ['73-20=53', '28+91=119']
Exploring Operation: 53*119=6307, Resulting Numbers: [6307]
6307,56 unequal: No Solution
Exploring Operation: 119-53=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Exploring Operation: 53+119=172, Resulting Numbers: [172]
172,56 unequal: No Solution
Moving to Node #0,0,3,0
Current State: 56:[10], Operations: ['91-28=63', '20+63=83', '83-73=10']
Moving to Node #0,3,1,0
Current State: 56:[10], Operations: ['73-20=53', '91-53=38', '38-28=10']
Moving to Node #0,3,2,0
Current State: 56:[66], Operations: ['73-20=53', '28+91=119', '119-53=66']
Moving to Node #0,0,2,0
Current State: 56:[10], Operations: ['91-28=63', '73-20=53', '63-53=10']
Moving to Node #0,3,3,0
Current State: 56:[10], Operations: ['73-20=53', '91-28=63', '63-53=10']
Moving to Node #0,3,0,0
Current State: 56:[10], Operations: ['73-20=53', '28+53=81', '91-81=10']
Moving to Node #0,2,0
Current State: 56:[73, 139], Operations: ['28+20=48', '91+48=139']
Exploring Operation: 73*139=10147, Resulting Numbers: [10147]
10147,56 unequal: No Solution
Exploring Operation: 73+139=212, Resulting Numbers: [212]
212,56 unequal: No Solution
Exploring Operation: 139-73=66, Resulting Numbers: [66]
66,56 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 56:[116], Operations: ['91-28=63', '73-20=53', '63+53=116']
Moving to Node #0,2,3,0
Current State: 56:[116], Operations: ['28+20=48', '91-48=43', '73+43=116']
Moving to Node #0,0,1,0
Current State: 56:[116], Operations: ['91-28=63', '63-20=43', '73+43=116']
Moving to Node #0,2,0,0
Current State: 56:[66], Operations: ['28+20=48', '91+48=139', '139-73=66']
Moving to Node #0,1,2,0
Current State: 56:[116], Operations: ['91-20=71', '71-28=43', '73+43=116']
Moving to Node #0,1,3,0
Current State: 56:[116], Operations: ['91-20=71', '73-28=45', '71+45=116']
Moving to Node #0,3,3,0
Current State: 56:[116], Operations: ['73-20=53', '91-28=63', '53+63=116']
Moving to Node #0,2,1,0
Current State: 56:[116], Operations: ['28+20=48', '73-48=25', '91+25=116']
Moving to Node #0,0,3,0
Current State: 56:[156], Operations: ['91-28=63', '20+63=83', '73+83=156']
Moving to Node #0,0,0,0
Current State: 56:[156], Operations: ['91-28=63', '20+73=93', '63+93=156']
Moving to Node #0,1,0,0
Current State: 56:[172], Operations: ['91-20=71', '28+73=101', '71+101=172']
Moving to Node #0,1,1,0
Current State: 56:[172], Operations: ['91-20=71', '28+71=99', '73+99=172']
Moving to Node #0,3,0,0
Current State: 56:[172], Operations: ['73-20=53', '28+53=81', '91+81=172']
Moving to Node #0,3,2,0
Current State: 56:[172], Operations: ['73-20=53', '28+91=119', '53+119=172']
Moving to Node #0,2,0,0
Current State: 56:[212], Operations: ['28+20=48', '91+48=139', '73+139=212']
Moving to Node #0,2,2,0
Current State: 56:[864], Operations: ['28+20=48', '91-73=18', '48*18=864']
Moving to Node #0,3,1,0
Current State: 56:[1064], Operations: ['73-20=53', '91-53=38', '28*38=1064']
Moving to Node #0,2,1,0
Current State: 56:[2275], Operations: ['28+20=48', '73-48=25', '91*25=2275']
Moving to Node #0,1,2,0
Current State: 56:[3139], Operations: ['91-20=71', '71-28=43', '73*43=3139']
Moving to Node #0,0,1,0
Current State: 56:[3139], Operations: ['91-28=63', '63-20=43', '73*43=3139']
Moving to Node #0,2,3,0
Current State: 56:[3139], Operations: ['28+20=48', '91-48=43', '73*43=3139']
Moving to Node #0,1,3,0
Current State: 56:[3195], Operations: ['91-20=71', '73-28=45', '71*45=3195']
Moving to Node #0,0,2,0
Current State: 56:[3339], Operations: ['91-28=63', '73-20=53', '63*53=3339']
Moving to Node #0,3,3,0
Current State: 56:[3339], Operations: ['73-20=53', '91-28=63', '53*63=3339']
Moving to Node #0,0,0,0
Current State: 56:[5859], Operations: ['91-28=63', '20+73=93', '63*93=5859']
Moving to Node #0,0,3,0
Current State: 56:[6059], Operations: ['91-28=63', '20+63=83', '73*83=6059']
Moving to Node #0,3,2,0
Current State: 56:[6307], Operations: ['73-20=53', '28+91=119', '53*119=6307']
Moving to Node #0,1,0,0
Current State: 56:[7171], Operations: ['91-20=71', '28+73=101', '71*101=7171']
Moving to Node #0,1,1,0
Current State: 56:[7227], Operations: ['91-20=71', '28+71=99', '73*99=7227']
Moving to Node #0,3,0,0
Current State: 56:[7371], Operations: ['73-20=53', '28+53=81', '91*81=7371']
Moving to Node #0,2,0,0
Current State: 56:[10147], Operations: ['28+20=48', '91+48=139', '73*139=10147']
No solution found. | 0 | bfs_4 | Current State: 56:[28, 91, 20, 73], Operations: []
Exploring Operation: 91-20=71, Resulting Numbers: [28, 73, 71]
Generated Node #2: [28, 73, 71] from Operation: 91-20=71
Current State: 56:[28, 73, 71], Operations: ['91-20=71']
Exploring Operation: 73-71=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 73-71=2
Current State: 56:[28, 2], Operations: ['91-20=71', '73-71=2']
Exploring Operation: 28*2=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| sum_heuristic |
[
59,
13,
3,
10
] | 74 | [
"59-3=56",
"13*10=130",
"130-56=74"
] | Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 13*3=39, Resulting Numbers: [59, 10, 39]
Generated Node #0,0: 74:[59, 10, 39] Operation: 13*3=39
Moving to Node #0,0
Current State: 74:[59, 10, 39], Operations: ['13*3=39']
Exploring Operation: 59+10=69, Resulting Numbers: [39, 69]
Generated Node #0,0,0: 74:[39, 69] Operation: 59+10=69
Moving to Node #0,0,0
Current State: 74:[39, 69], Operations: ['13*3=39', '59+10=69']
Exploring Operation: 39+69=108, Resulting Numbers: [108]
108,74 unequal: No Solution
Moving to Node #0,0,0
Current State: 74:[39, 69], Operations: ['13*3=39', '59+10=69']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Moving to Node #0,0
Current State: 74:[59, 10, 39], Operations: ['13*3=39']
Exploring Operation: 10+39=49, Resulting Numbers: [59, 49]
Generated Node #0,0,1: 74:[59, 49] Operation: 10+39=49
Moving to Node #0,0,1
Current State: 74:[59, 49], Operations: ['13*3=39', '10+39=49']
Exploring Operation: 59+49=108, Resulting Numbers: [108]
108,74 unequal: No Solution
Moving to Node #0,0,1
Current State: 74:[59, 49], Operations: ['13*3=39', '10+39=49']
Exploring Operation: 59-49=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Moving to Node #0,0
Current State: 74:[59, 10, 39], Operations: ['13*3=39']
Exploring Operation: 59-10=49, Resulting Numbers: [39, 49]
Generated Node #0,0,2: 74:[39, 49] Operation: 59-10=49
Moving to Node #0,0,2
Current State: 74:[39, 49], Operations: ['13*3=39', '59-10=49']
Exploring Operation: 39+49=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Moving to Node #0,0,2
Current State: 74:[39, 49], Operations: ['13*3=39', '59-10=49']
Exploring Operation: 49-39=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Moving to Node #0,0
Current State: 74:[59, 10, 39], Operations: ['13*3=39']
Exploring Operation: 39-10=29, Resulting Numbers: [59, 29]
Generated Node #0,0,3: 74:[59, 29] Operation: 39-10=29
Moving to Node #0,0,3
Current State: 74:[59, 29], Operations: ['13*3=39', '39-10=29']
Exploring Operation: 59+29=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Moving to Node #0,0,3
Current State: 74:[59, 29], Operations: ['13*3=39', '39-10=29']
Exploring Operation: 59-29=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Moving to Node #0,0
Current State: 74:[59, 10, 39], Operations: ['13*3=39']
Exploring Operation: 59+39=98, Resulting Numbers: [10, 98]
Generated Node #0,0,4: 74:[10, 98] Operation: 59+39=98
Moving to Node #0,0,4
Current State: 74:[10, 98], Operations: ['13*3=39', '59+39=98']
Exploring Operation: 98-10=88, Resulting Numbers: [88]
88,74 unequal: No Solution
Moving to Node #0,0,4
Current State: 74:[10, 98], Operations: ['13*3=39', '59+39=98']
Exploring Operation: 10+98=108, Resulting Numbers: [108]
108,74 unequal: No Solution
Moving to Node #0,0
Current State: 74:[59, 10, 39], Operations: ['13*3=39']
Exploring Operation: 59-39=20, Resulting Numbers: [10, 20]
Generated Node #0,0,5: 74:[10, 20] Operation: 59-39=20
Moving to Node #0,0,5
Current State: 74:[10, 20], Operations: ['13*3=39', '59-39=20']
Exploring Operation: 10+20=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Moving to Node #0,0,5
Current State: 74:[10, 20], Operations: ['13*3=39', '59-39=20']
Exploring Operation: 20-10=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Moving to Node #0,0,5
Current State: 74:[10, 20], Operations: ['13*3=39', '59-39=20']
Exploring Operation: 20/10=2, Resulting Numbers: [2]
2,74 unequal: No Solution
Moving to Node #0
Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [59, 13, 30]
Generated Node #0,1: 74:[59, 13, 30] Operation: 3*10=30
Moving to Node #0,1
Current State: 74:[59, 13, 30], Operations: ['3*10=30']
Exploring Operation: 59+13=72, Resulting Numbers: [30, 72]
Generated Node #0,1,0: 74:[30, 72] Operation: 59+13=72
Moving to Node #0,1,0
Current State: 74:[30, 72], Operations: ['3*10=30', '59+13=72']
Exploring Operation: 30+72=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Moving to Node #0,1,0
Current State: 74:[30, 72], Operations: ['3*10=30', '59+13=72']
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Moving to Node #0,1
Current State: 74:[59, 13, 30], Operations: ['3*10=30']
Exploring Operation: 13+30=43, Resulting Numbers: [59, 43]
Generated Node #0,1,1: 74:[59, 43] Operation: 13+30=43
Moving to Node #0,1,1
Current State: 74:[59, 43], Operations: ['3*10=30', '13+30=43']
Exploring Operation: 59+43=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Moving to Node #0,1,1
Current State: 74:[59, 43], Operations: ['3*10=30', '13+30=43']
Exploring Operation: 59-43=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Moving to Node #0,1
Current State: 74:[59, 13, 30], Operations: ['3*10=30']
Exploring Operation: 59-13=46, Resulting Numbers: [30, 46]
Generated Node #0,1,2: 74:[30, 46] Operation: 59-13=46
Moving to Node #0,1,2
Current State: 74:[30, 46], Operations: ['3*10=30', '59-13=46']
Exploring Operation: 30+46=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Moving to Node #0,1,2
Current State: 74:[30, 46], Operations: ['3*10=30', '59-13=46']
Exploring Operation: 46-30=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Moving to Node #0,1
Current State: 74:[59, 13, 30], Operations: ['3*10=30']
Exploring Operation: 30-13=17, Resulting Numbers: [59, 17]
Generated Node #0,1,3: 74:[59, 17] Operation: 30-13=17
Moving to Node #0,1,3
Current State: 74:[59, 17], Operations: ['3*10=30', '30-13=17']
Exploring Operation: 59+17=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Moving to Node #0,1,3
Current State: 74:[59, 17], Operations: ['3*10=30', '30-13=17']
Exploring Operation: 59-17=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Moving to Node #0,1
Current State: 74:[59, 13, 30], Operations: ['3*10=30']
Exploring Operation: 59+30=89, Resulting Numbers: [13, 89]
Generated Node #0,1,4: 74:[13, 89] Operation: 59+30=89
Moving to Node #0,1,4
Current State: 74:[13, 89], Operations: ['3*10=30', '59+30=89']
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,74 unequal: No Solution
Moving to Node #0,1,4
Current State: 74:[13, 89], Operations: ['3*10=30', '59+30=89']
Exploring Operation: 13+89=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Moving to Node #0,1
Current State: 74:[59, 13, 30], Operations: ['3*10=30']
Exploring Operation: 59-30=29, Resulting Numbers: [13, 29]
Generated Node #0,1,5: 74:[13, 29] Operation: 59-30=29
Moving to Node #0,1,5
Current State: 74:[13, 29], Operations: ['3*10=30', '59-30=29']
Exploring Operation: 13+29=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Moving to Node #0,1,5
Current State: 74:[13, 29], Operations: ['3*10=30', '59-30=29']
Exploring Operation: 29-13=16, Resulting Numbers: [16]
16,74 unequal: No Solution
Moving to Node #0
Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 59+13=72, Resulting Numbers: [3, 10, 72]
Generated Node #0,2: 74:[3, 10, 72] Operation: 59+13=72
Moving to Node #0,2
Current State: 74:[3, 10, 72], Operations: ['59+13=72']
Exploring Operation: 3*10=30, Resulting Numbers: [72, 30]
Generated Node #0,2,0: 74:[72, 30] Operation: 3*10=30
Moving to Node #0,2,0
Current State: 74:[72, 30], Operations: ['59+13=72', '3*10=30']
Exploring Operation: 72+30=102, Resulting Numbers: [102]
102,74 unequal: No Solution
Moving to Node #0,2,0
Current State: 74:[72, 30], Operations: ['59+13=72', '3*10=30']
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,74 unequal: No Solution
Moving to Node #0,2
Current State: 74:[3, 10, 72], Operations: ['59+13=72']
Exploring Operation: 3+10=13, Resulting Numbers: [72, 13]
Generated Node #0,2,1: 74:[72, 13] Operation: 3+10=13
Moving to Node #0,2,1
Current State: 74:[72, 13], Operations: ['59+13=72', '3+10=13']
Exploring Operation: 72+13=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,2,1
Current State: 74:[72, 13], Operations: ['59+13=72', '3+10=13']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,2
Current State: 74:[3, 10, 72], Operations: ['59+13=72']
Exploring Operation: 3+72=75, Resulting Numbers: [10, 75]
Generated Node #0,2,2: 74:[10, 75] Operation: 3+72=75
Moving to Node #0,2,2
Current State: 74:[10, 75], Operations: ['59+13=72', '3+72=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,2,2
Current State: 74:[10, 75], Operations: ['59+13=72', '3+72=75']
Exploring Operation: 10+75=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,2
Current State: 74:[3, 10, 72], Operations: ['59+13=72']
Exploring Operation: 10-3=7, Resulting Numbers: [72, 7]
Generated Node #0,2,3: 74:[72, 7] Operation: 10-3=7
Moving to Node #0,2,3
Current State: 74:[72, 7], Operations: ['59+13=72', '10-3=7']
Exploring Operation: 72+7=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,2,3
Current State: 74:[72, 7], Operations: ['59+13=72', '10-3=7']
Exploring Operation: 72-7=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,2
Current State: 74:[3, 10, 72], Operations: ['59+13=72']
Exploring Operation: 72-3=69, Resulting Numbers: [10, 69]
Generated Node #0,2,4: 74:[10, 69] Operation: 72-3=69
Moving to Node #0,2,4
Current State: 74:[10, 69], Operations: ['59+13=72', '72-3=69']
Exploring Operation: 10+69=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,2,4
Current State: 74:[10, 69], Operations: ['59+13=72', '72-3=69']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,2
Current State: 74:[3, 10, 72], Operations: ['59+13=72']
Exploring Operation: 10+72=82, Resulting Numbers: [3, 82]
Generated Node #0,2,5: 74:[3, 82] Operation: 10+72=82
Moving to Node #0,2,5
Current State: 74:[3, 82], Operations: ['59+13=72', '10+72=82']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,2,5
Current State: 74:[3, 82], Operations: ['59+13=72', '10+72=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,2
Current State: 74:[3, 10, 72], Operations: ['59+13=72']
Exploring Operation: 72-10=62, Resulting Numbers: [3, 62]
Generated Node #0,2,6: 74:[3, 62] Operation: 72-10=62
Moving to Node #0,2,6
Current State: 74:[3, 62], Operations: ['59+13=72', '72-10=62']
Exploring Operation: 3+62=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,2,6
Current State: 74:[3, 62], Operations: ['59+13=72', '72-10=62']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,2
Current State: 74:[3, 10, 72], Operations: ['59+13=72']
Exploring Operation: 72/3=24, Resulting Numbers: [10, 24]
Generated Node #0,2,7: 74:[10, 24] Operation: 72/3=24
Moving to Node #0,2,7
Current State: 74:[10, 24], Operations: ['59+13=72', '72/3=24']
Exploring Operation: 10+24=34, Resulting Numbers: [34]
34,74 unequal: No Solution
Moving to Node #0,2,7
Current State: 74:[10, 24], Operations: ['59+13=72', '72/3=24']
Exploring Operation: 24-10=14, Resulting Numbers: [14]
14,74 unequal: No Solution
Moving to Node #0
Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 59+3=62, Resulting Numbers: [13, 10, 62]
Generated Node #0,3: 74:[13, 10, 62] Operation: 59+3=62
Moving to Node #0,3
Current State: 74:[13, 10, 62], Operations: ['59+3=62']
Exploring Operation: 13+10=23, Resulting Numbers: [62, 23]
Generated Node #0,3,0: 74:[62, 23] Operation: 13+10=23
Moving to Node #0,3,0
Current State: 74:[62, 23], Operations: ['59+3=62', '13+10=23']
Exploring Operation: 62+23=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,3,0
Current State: 74:[62, 23], Operations: ['59+3=62', '13+10=23']
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Moving to Node #0,3
Current State: 74:[13, 10, 62], Operations: ['59+3=62']
Exploring Operation: 10+62=72, Resulting Numbers: [13, 72]
Generated Node #0,3,1: 74:[13, 72] Operation: 10+62=72
Moving to Node #0,3,1
Current State: 74:[13, 72], Operations: ['59+3=62', '10+62=72']
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,3,1
Current State: 74:[13, 72], Operations: ['59+3=62', '10+62=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,3
Current State: 74:[13, 10, 62], Operations: ['59+3=62']
Exploring Operation: 13+62=75, Resulting Numbers: [10, 75]
Generated Node #0,3,2: 74:[10, 75] Operation: 13+62=75
Moving to Node #0,3,2
Current State: 74:[10, 75], Operations: ['59+3=62', '13+62=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,3,2
Current State: 74:[10, 75], Operations: ['59+3=62', '13+62=75']
Exploring Operation: 10+75=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,3
Current State: 74:[13, 10, 62], Operations: ['59+3=62']
Exploring Operation: 13*10=130, Resulting Numbers: [62, 130]
Generated Node #0,3,3: 74:[62, 130] Operation: 13*10=130
Moving to Node #0,3,3
Current State: 74:[62, 130], Operations: ['59+3=62', '13*10=130']
Exploring Operation: 130-62=68, Resulting Numbers: [68]
68,74 unequal: No Solution
Moving to Node #0,3
Current State: 74:[13, 10, 62], Operations: ['59+3=62']
Exploring Operation: 13-10=3, Resulting Numbers: [62, 3]
Generated Node #0,3,4: 74:[62, 3] Operation: 13-10=3
Moving to Node #0,3,4
Current State: 74:[62, 3], Operations: ['59+3=62', '13-10=3']
Exploring Operation: 62+3=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,3,4
Current State: 74:[62, 3], Operations: ['59+3=62', '13-10=3']
Exploring Operation: 62-3=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,3
Current State: 74:[13, 10, 62], Operations: ['59+3=62']
Exploring Operation: 62-10=52, Resulting Numbers: [13, 52]
Generated Node #0,3,5: 74:[13, 52] Operation: 62-10=52
Moving to Node #0,3,5
Current State: 74:[13, 52], Operations: ['59+3=62', '62-10=52']
Exploring Operation: 13+52=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,3,5
Current State: 74:[13, 52], Operations: ['59+3=62', '62-10=52']
Exploring Operation: 52-13=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Moving to Node #0,3,5
Current State: 74:[13, 52], Operations: ['59+3=62', '62-10=52']
Exploring Operation: 52/13=4, Resulting Numbers: [4]
4,74 unequal: No Solution
Moving to Node #0,3
Current State: 74:[13, 10, 62], Operations: ['59+3=62']
Exploring Operation: 62-13=49, Resulting Numbers: [10, 49]
Generated Node #0,3,6: 74:[10, 49] Operation: 62-13=49
Moving to Node #0,3,6
Current State: 74:[10, 49], Operations: ['59+3=62', '62-13=49']
Exploring Operation: 10+49=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,3,6
Current State: 74:[10, 49], Operations: ['59+3=62', '62-13=49']
Exploring Operation: 49-10=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Moving to Node #0
Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 59+10=69, Resulting Numbers: [13, 3, 69]
Generated Node #0,4: 74:[13, 3, 69] Operation: 59+10=69
Moving to Node #0,4
Current State: 74:[13, 3, 69], Operations: ['59+10=69']
Exploring Operation: 13*3=39, Resulting Numbers: [69, 39]
Generated Node #0,4,0: 74:[69, 39] Operation: 13*3=39
Moving to Node #0,4,0
Current State: 74:[69, 39], Operations: ['59+10=69', '13*3=39']
Exploring Operation: 69+39=108, Resulting Numbers: [108]
108,74 unequal: No Solution
Moving to Node #0,4,0
Current State: 74:[69, 39], Operations: ['59+10=69', '13*3=39']
Exploring Operation: 69-39=30, Resulting Numbers: [30]
30,74 unequal: No Solution
Moving to Node #0,4
Current State: 74:[13, 3, 69], Operations: ['59+10=69']
Exploring Operation: 13+3=16, Resulting Numbers: [69, 16]
Generated Node #0,4,1: 74:[69, 16] Operation: 13+3=16
Moving to Node #0,4,1
Current State: 74:[69, 16], Operations: ['59+10=69', '13+3=16']
Exploring Operation: 69+16=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,4,1
Current State: 74:[69, 16], Operations: ['59+10=69', '13+3=16']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Moving to Node #0,4
Current State: 74:[13, 3, 69], Operations: ['59+10=69']
Exploring Operation: 3+69=72, Resulting Numbers: [13, 72]
Generated Node #0,4,2: 74:[13, 72] Operation: 3+69=72
Moving to Node #0,4,2
Current State: 74:[13, 72], Operations: ['59+10=69', '3+69=72']
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,4,2
Current State: 74:[13, 72], Operations: ['59+10=69', '3+69=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,4
Current State: 74:[13, 3, 69], Operations: ['59+10=69']
Exploring Operation: 13-3=10, Resulting Numbers: [69, 10]
Generated Node #0,4,3: 74:[69, 10] Operation: 13-3=10
Moving to Node #0,4,3
Current State: 74:[69, 10], Operations: ['59+10=69', '13-3=10']
Exploring Operation: 69+10=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,4,3
Current State: 74:[69, 10], Operations: ['59+10=69', '13-3=10']
Exploring Operation: 69-10=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,4
Current State: 74:[13, 3, 69], Operations: ['59+10=69']
Exploring Operation: 69-3=66, Resulting Numbers: [13, 66]
Generated Node #0,4,4: 74:[13, 66] Operation: 69-3=66
Moving to Node #0,4,4
Current State: 74:[13, 66], Operations: ['59+10=69', '69-3=66']
Exploring Operation: 13+66=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,4,4
Current State: 74:[13, 66], Operations: ['59+10=69', '69-3=66']
Exploring Operation: 66-13=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Moving to Node #0,4
Current State: 74:[13, 3, 69], Operations: ['59+10=69']
Exploring Operation: 13+69=82, Resulting Numbers: [3, 82]
Generated Node #0,4,5: 74:[3, 82] Operation: 13+69=82
Moving to Node #0,4,5
Current State: 74:[3, 82], Operations: ['59+10=69', '13+69=82']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,4,5
Current State: 74:[3, 82], Operations: ['59+10=69', '13+69=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,4
Current State: 74:[13, 3, 69], Operations: ['59+10=69']
Exploring Operation: 69-13=56, Resulting Numbers: [3, 56]
Generated Node #0,4,6: 74:[3, 56] Operation: 69-13=56
Moving to Node #0,4,6
Current State: 74:[3, 56], Operations: ['59+10=69', '69-13=56']
Exploring Operation: 3+56=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,4,6
Current State: 74:[3, 56], Operations: ['59+10=69', '69-13=56']
Exploring Operation: 56-3=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Moving to Node #0,4
Current State: 74:[13, 3, 69], Operations: ['59+10=69']
Exploring Operation: 69/3=23, Resulting Numbers: [13, 23]
Generated Node #0,4,7: 74:[13, 23] Operation: 69/3=23
Moving to Node #0,4,7
Current State: 74:[13, 23], Operations: ['59+10=69', '69/3=23']
Exploring Operation: 13+23=36, Resulting Numbers: [36]
36,74 unequal: No Solution
Moving to Node #0,4,7
Current State: 74:[13, 23], Operations: ['59+10=69', '69/3=23']
Exploring Operation: 23-13=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Moving to Node #0
Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 13+3=16, Resulting Numbers: [59, 10, 16]
Generated Node #0,5: 74:[59, 10, 16] Operation: 13+3=16
Moving to Node #0,5
Current State: 74:[59, 10, 16], Operations: ['13+3=16']
Exploring Operation: 59+10=69, Resulting Numbers: [16, 69]
Generated Node #0,5,0: 74:[16, 69] Operation: 59+10=69
Moving to Node #0,5,0
Current State: 74:[16, 69], Operations: ['13+3=16', '59+10=69']
Exploring Operation: 16+69=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,5,0
Current State: 74:[16, 69], Operations: ['13+3=16', '59+10=69']
Exploring Operation: 69-16=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Moving to Node #0,5
Current State: 74:[59, 10, 16], Operations: ['13+3=16']
Exploring Operation: 10+16=26, Resulting Numbers: [59, 26]
Generated Node #0,5,1: 74:[59, 26] Operation: 10+16=26
Moving to Node #0,5,1
Current State: 74:[59, 26], Operations: ['13+3=16', '10+16=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,5,1
Current State: 74:[59, 26], Operations: ['13+3=16', '10+16=26']
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,5
Current State: 74:[59, 10, 16], Operations: ['13+3=16']
Exploring Operation: 59+16=75, Resulting Numbers: [10, 75]
Generated Node #0,5,2: 74:[10, 75] Operation: 59+16=75
Moving to Node #0,5,2
Current State: 74:[10, 75], Operations: ['13+3=16', '59+16=75']
Exploring Operation: 75-10=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,5,2
Current State: 74:[10, 75], Operations: ['13+3=16', '59+16=75']
Exploring Operation: 10+75=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,5
Current State: 74:[59, 10, 16], Operations: ['13+3=16']
Exploring Operation: 59-10=49, Resulting Numbers: [16, 49]
Generated Node #0,5,3: 74:[16, 49] Operation: 59-10=49
Moving to Node #0,5,3
Current State: 74:[16, 49], Operations: ['13+3=16', '59-10=49']
Exploring Operation: 16+49=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,5,3
Current State: 74:[16, 49], Operations: ['13+3=16', '59-10=49']
Exploring Operation: 49-16=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,5
Current State: 74:[59, 10, 16], Operations: ['13+3=16']
Exploring Operation: 16-10=6, Resulting Numbers: [59, 6]
Generated Node #0,5,4: 74:[59, 6] Operation: 16-10=6
Moving to Node #0,5,4
Current State: 74:[59, 6], Operations: ['13+3=16', '16-10=6']
Exploring Operation: 59+6=65, Resulting Numbers: [65]
65,74 unequal: No Solution
Moving to Node #0,5,4
Current State: 74:[59, 6], Operations: ['13+3=16', '16-10=6']
Exploring Operation: 59-6=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Moving to Node #0,5
Current State: 74:[59, 10, 16], Operations: ['13+3=16']
Exploring Operation: 59-16=43, Resulting Numbers: [10, 43]
Generated Node #0,5,5: 74:[10, 43] Operation: 59-16=43
Moving to Node #0,5,5
Current State: 74:[10, 43], Operations: ['13+3=16', '59-16=43']
Exploring Operation: 10+43=53, Resulting Numbers: [53]
53,74 unequal: No Solution
Moving to Node #0,5,5
Current State: 74:[10, 43], Operations: ['13+3=16', '59-16=43']
Exploring Operation: 43-10=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,5
Current State: 74:[59, 10, 16], Operations: ['13+3=16']
Exploring Operation: 10*16=160, Resulting Numbers: [59, 160]
Generated Node #0,5,6: 74:[59, 160] Operation: 10*16=160
Moving to Node #0,5,6
Current State: 74:[59, 160], Operations: ['13+3=16', '10*16=160']
Exploring Operation: 160-59=101, Resulting Numbers: [101]
101,74 unequal: No Solution
Moving to Node #0
Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 13+10=23, Resulting Numbers: [59, 3, 23]
Generated Node #0,6: 74:[59, 3, 23] Operation: 13+10=23
Moving to Node #0,6
Current State: 74:[59, 3, 23], Operations: ['13+10=23']
Exploring Operation: 3*23=69, Resulting Numbers: [59, 69]
Generated Node #0,6,0: 74:[59, 69] Operation: 3*23=69
Moving to Node #0,6,0
Current State: 74:[59, 69], Operations: ['13+10=23', '3*23=69']
Exploring Operation: 59+69=128, Resulting Numbers: [128]
128,74 unequal: No Solution
Moving to Node #0,6,0
Current State: 74:[59, 69], Operations: ['13+10=23', '3*23=69']
Exploring Operation: 69-59=10, Resulting Numbers: [10]
10,74 unequal: No Solution
Moving to Node #0,6
Current State: 74:[59, 3, 23], Operations: ['13+10=23']
Exploring Operation: 59+3=62, Resulting Numbers: [23, 62]
Generated Node #0,6,1: 74:[23, 62] Operation: 59+3=62
Moving to Node #0,6,1
Current State: 74:[23, 62], Operations: ['13+10=23', '59+3=62']
Exploring Operation: 23+62=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,6,1
Current State: 74:[23, 62], Operations: ['13+10=23', '59+3=62']
Exploring Operation: 62-23=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Moving to Node #0,6
Current State: 74:[59, 3, 23], Operations: ['13+10=23']
Exploring Operation: 3+23=26, Resulting Numbers: [59, 26]
Generated Node #0,6,2: 74:[59, 26] Operation: 3+23=26
Moving to Node #0,6,2
Current State: 74:[59, 26], Operations: ['13+10=23', '3+23=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,6,2
Current State: 74:[59, 26], Operations: ['13+10=23', '3+23=26']
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,6
Current State: 74:[59, 3, 23], Operations: ['13+10=23']
Exploring Operation: 59-3=56, Resulting Numbers: [23, 56]
Generated Node #0,6,3: 74:[23, 56] Operation: 59-3=56
Moving to Node #0,6,3
Current State: 74:[23, 56], Operations: ['13+10=23', '59-3=56']
Exploring Operation: 23+56=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,6,3
Current State: 74:[23, 56], Operations: ['13+10=23', '59-3=56']
Exploring Operation: 56-23=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,6
Current State: 74:[59, 3, 23], Operations: ['13+10=23']
Exploring Operation: 23-3=20, Resulting Numbers: [59, 20]
Generated Node #0,6,4: 74:[59, 20] Operation: 23-3=20
Moving to Node #0,6,4
Current State: 74:[59, 20], Operations: ['13+10=23', '23-3=20']
Exploring Operation: 59+20=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,6,4
Current State: 74:[59, 20], Operations: ['13+10=23', '23-3=20']
Exploring Operation: 59-20=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Moving to Node #0,6
Current State: 74:[59, 3, 23], Operations: ['13+10=23']
Exploring Operation: 59+23=82, Resulting Numbers: [3, 82]
Generated Node #0,6,5: 74:[3, 82] Operation: 59+23=82
Moving to Node #0,6,5
Current State: 74:[3, 82], Operations: ['13+10=23', '59+23=82']
Exploring Operation: 82-3=79, Resulting Numbers: [79]
79,74 unequal: No Solution
Moving to Node #0,6,5
Current State: 74:[3, 82], Operations: ['13+10=23', '59+23=82']
Exploring Operation: 3+82=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,6
Current State: 74:[59, 3, 23], Operations: ['13+10=23']
Exploring Operation: 59-23=36, Resulting Numbers: [3, 36]
Generated Node #0,6,6: 74:[3, 36] Operation: 59-23=36
Moving to Node #0,6,6
Current State: 74:[3, 36], Operations: ['13+10=23', '59-23=36']
Exploring Operation: 3*36=108, Resulting Numbers: [108]
108,74 unequal: No Solution
Moving to Node #0,6,6
Current State: 74:[3, 36], Operations: ['13+10=23', '59-23=36']
Exploring Operation: 3+36=39, Resulting Numbers: [39]
39,74 unequal: No Solution
Moving to Node #0,6,6
Current State: 74:[3, 36], Operations: ['13+10=23', '59-23=36']
Exploring Operation: 36-3=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,6,6
Current State: 74:[3, 36], Operations: ['13+10=23', '59-23=36']
Exploring Operation: 36/3=12, Resulting Numbers: [12]
12,74 unequal: No Solution
Moving to Node #0
Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 3+10=13, Resulting Numbers: [59, 13, 13]
Generated Node #0,7: 74:[59, 13, 13] Operation: 3+10=13
Moving to Node #0,7
Current State: 74:[59, 13, 13], Operations: ['3+10=13']
Exploring Operation: 59+13=72, Resulting Numbers: [13, 72]
Generated Node #0,7,0: 74:[13, 72] Operation: 59+13=72
Moving to Node #0,7,0
Current State: 74:[13, 72], Operations: ['3+10=13', '59+13=72']
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,7,0
Current State: 74:[13, 72], Operations: ['3+10=13', '59+13=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,7
Current State: 74:[59, 13, 13], Operations: ['3+10=13']
Exploring Operation: 59+13=72, Resulting Numbers: [13, 72]
Generated Node #0,7,1: 74:[13, 72] Operation: 59+13=72
Moving to Node #0,7,1
Current State: 74:[13, 72], Operations: ['3+10=13', '59+13=72']
Exploring Operation: 13+72=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,7,1
Current State: 74:[13, 72], Operations: ['3+10=13', '59+13=72']
Exploring Operation: 72-13=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,7
Current State: 74:[59, 13, 13], Operations: ['3+10=13']
Exploring Operation: 13+13=26, Resulting Numbers: [59, 26]
Generated Node #0,7,2: 74:[59, 26] Operation: 13+13=26
Moving to Node #0,7,2
Current State: 74:[59, 26], Operations: ['3+10=13', '13+13=26']
Exploring Operation: 59+26=85, Resulting Numbers: [85]
85,74 unequal: No Solution
Moving to Node #0,7,2
Current State: 74:[59, 26], Operations: ['3+10=13', '13+13=26']
Exploring Operation: 59-26=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,7
Current State: 74:[59, 13, 13], Operations: ['3+10=13']
Exploring Operation: 13/13=1, Resulting Numbers: [59, 1]
Generated Node #0,7,3: 74:[59, 1] Operation: 13/13=1
Moving to Node #0,7,3
Current State: 74:[59, 1], Operations: ['3+10=13', '13/13=1']
Exploring Operation: 59+1=60, Resulting Numbers: [60]
60,74 unequal: No Solution
Moving to Node #0,7,3
Current State: 74:[59, 1], Operations: ['3+10=13', '13/13=1']
Exploring Operation: 59*1=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,7,3
Current State: 74:[59, 1], Operations: ['3+10=13', '13/13=1']
Exploring Operation: 59/1=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,7,3
Current State: 74:[59, 1], Operations: ['3+10=13', '13/13=1']
Exploring Operation: 59-1=58, Resulting Numbers: [58]
58,74 unequal: No Solution
Moving to Node #0,7
Current State: 74:[59, 13, 13], Operations: ['3+10=13']
Exploring Operation: 59-13=46, Resulting Numbers: [13, 46]
Generated Node #0,7,4: 74:[13, 46] Operation: 59-13=46
Moving to Node #0,7,4
Current State: 74:[13, 46], Operations: ['3+10=13', '59-13=46']
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,7,4
Current State: 74:[13, 46], Operations: ['3+10=13', '59-13=46']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,7
Current State: 74:[59, 13, 13], Operations: ['3+10=13']
Exploring Operation: 59-13=46, Resulting Numbers: [13, 46]
Generated Node #0,7,5: 74:[13, 46] Operation: 59-13=46
Moving to Node #0,7,5
Current State: 74:[13, 46], Operations: ['3+10=13', '59-13=46']
Exploring Operation: 13+46=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,7,5
Current State: 74:[13, 46], Operations: ['3+10=13', '59-13=46']
Exploring Operation: 46-13=33, Resulting Numbers: [33]
33,74 unequal: No Solution
Moving to Node #0,7
Current State: 74:[59, 13, 13], Operations: ['3+10=13']
Exploring Operation: 13-13=0, Resulting Numbers: [59, 0]
Generated Node #0,7,6: 74:[59, 0] Operation: 13-13=0
Moving to Node #0,7,6
Current State: 74:[59, 0], Operations: ['3+10=13', '13-13=0']
Exploring Operation: 59+0=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,7,6
Current State: 74:[59, 0], Operations: ['3+10=13', '13-13=0']
Exploring Operation: 59-0=59, Resulting Numbers: [59]
59,74 unequal: No Solution
Moving to Node #0,7,6
Current State: 74:[59, 0], Operations: ['3+10=13', '13-13=0']
Exploring Operation: 59*0=0, Resulting Numbers: [0]
0,74 unequal: No Solution
Moving to Node #0,7
Current State: 74:[59, 13, 13], Operations: ['3+10=13']
Exploring Operation: 13*13=169, Resulting Numbers: [59, 169]
Generated Node #0,7,7: 74:[59, 169] Operation: 13*13=169
Moving to Node #0,7,7
Current State: 74:[59, 169], Operations: ['3+10=13', '13*13=169']
Exploring Operation: 169-59=110, Resulting Numbers: [110]
110,74 unequal: No Solution
Moving to Node #0
Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 13*10=130, Resulting Numbers: [59, 3, 130]
Generated Node #0,8: 74:[59, 3, 130] Operation: 13*10=130
Moving to Node #0,8
Current State: 74:[59, 3, 130], Operations: ['13*10=130']
Exploring Operation: 59+3=62, Resulting Numbers: [130, 62]
Generated Node #0,8,0: 74:[130, 62] Operation: 59+3=62
Moving to Node #0,8,0
Current State: 74:[130, 62], Operations: ['13*10=130', '59+3=62']
Exploring Operation: 130-62=68, Resulting Numbers: [68]
68,74 unequal: No Solution
Moving to Node #0,8
Current State: 74:[59, 3, 130], Operations: ['13*10=130']
Exploring Operation: 130-3=127, Resulting Numbers: [59, 127]
Generated Node #0,8,1: 74:[59, 127] Operation: 130-3=127
Moving to Node #0,8,1
Current State: 74:[59, 127], Operations: ['13*10=130', '130-3=127']
Exploring Operation: 127-59=68, Resulting Numbers: [68]
68,74 unequal: No Solution
Moving to Node #0,8
Current State: 74:[59, 3, 130], Operations: ['13*10=130']
Exploring Operation: 59-3=56, Resulting Numbers: [130, 56]
Generated Node #0,8,2: 74:[130, 56] Operation: 59-3=56
Moving to Node #0,8,2
Current State: 74:[130, 56], Operations: ['13*10=130', '59-3=56']
Exploring Operation: 130-56=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 0.834201 | dfs | Current State: 74:[59, 13, 3, 10], Operations: []
Exploring Operation: 59-3=56, Resulting Numbers: [13, 10, 56]
Generated Node #2: [13, 10, 56] from Operation: 59-3=56
Current State: 74:[13, 10, 56], Operations: ['59-3=56']
Exploring Operation: 13*10=130, Resulting Numbers: [56, 130]
Generated Node #3: [56, 130] from Operation: 13*10=130
Current State: 74:[56, 130], Operations: ['59-3=56', '13*10=130']
Exploring Operation: 130-56=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| sum_heuristic |
[
83,
88,
10,
56
] | 71 | [
"88-83=5",
"10+56=66",
"5+66=71"
] | Current State: 71:[83, 88, 10, 56], Operations: []
Exploring Operation: 83-10=73, Resulting Numbers: [88, 56, 73]
Generated Node #0,0: 71:[88, 56, 73] Operation: 83-10=73
Moving to Node #0,0
Current State: 71:[88, 56, 73], Operations: ['83-10=73']
Exploring Operation: 88-56=32, Resulting Numbers: [73, 32]
Generated Node #0,0,0: 71:[73, 32] Operation: 88-56=32
Moving to Node #0,0,0
Current State: 71:[73, 32], Operations: ['83-10=73', '88-56=32']
Exploring Operation: 73-32=41, Resulting Numbers: [41]
41,71 unequal: No Solution
Moving to Node #0,0,0
Current State: 71:[73, 32], Operations: ['83-10=73', '88-56=32']
Exploring Operation: 73+32=105, Resulting Numbers: [105]
105,71 unequal: No Solution
Moving to Node #0,0
Current State: 71:[88, 56, 73], Operations: ['83-10=73']
Exploring Operation: 88-73=15, Resulting Numbers: [56, 15]
Generated Node #0,0,1: 71:[56, 15] Operation: 88-73=15
Moving to Node #0,0,1
Current State: 71:[56, 15], Operations: ['83-10=73', '88-73=15']
Exploring Operation: 56+15=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 0.993924 | dfs | Current State: 71:[83, 88, 10, 56], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [10, 56, 5]
Generated Node #2: [10, 56, 5] from Operation: 88-83=5
Current State: 71:[10, 56, 5], Operations: ['88-83=5']
Exploring Operation: 10+56=66, Resulting Numbers: [5, 66]
Generated Node #3: [5, 66] from Operation: 10+56=66
Current State: 71:[5, 66], Operations: ['88-83=5', '10+56=66']
Exploring Operation: 5+66=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| sum_heuristic |
[
46,
41,
23,
28
] | 43 | [
"41+28=69",
"69/23=3",
"46-3=43"
] | Current State: 43:[46, 41, 23, 28], Operations: []
Exploring Operation: 23+28=51, Resulting Numbers: [46, 41, 51]
Generated Node #0,0: 43:[46, 41, 51] Operation: 23+28=51
Exploring Operation: 46-23=23, Resulting Numbers: [41, 28, 23]
Generated Node #0,1: 43:[41, 28, 23] Operation: 46-23=23
Moving to Node #0,0
Current State: 43:[46, 41, 51], Operations: ['23+28=51']
Exploring Operation: 51-41=10, Resulting Numbers: [46, 10]
Generated Node #0,0,0: 43:[46, 10] Operation: 51-41=10
Exploring Operation: 51-46=5, Resulting Numbers: [41, 5]
Generated Node #0,0,1: 43:[41, 5] Operation: 51-46=5
Moving to Node #0,1
Current State: 43:[41, 28, 23], Operations: ['46-23=23']
Exploring Operation: 41+23=64, Resulting Numbers: [28, 64]
Generated Node #0,1,0: 43:[28, 64] Operation: 41+23=64
Exploring Operation: 28+23=51, Resulting Numbers: [41, 51]
Generated Node #0,1,1: 43:[41, 51] Operation: 28+23=51
Moving to Node #0,1,1
Current State: 43:[41, 51], Operations: ['46-23=23', '28+23=51']
Exploring Operation: 41+51=92, Resulting Numbers: [92]
92,43 unequal: No Solution
Exploring Operation: 51-41=10, Resulting Numbers: [10]
10,43 unequal: No Solution
Moving to Node #0,0,0
Current State: 43:[46, 10], Operations: ['23+28=51', '51-41=10']
Exploring Operation: 46+10=56, Resulting Numbers: [56]
56,43 unequal: No Solution
Exploring Operation: 46-10=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 43:[36], Operations: ['23+28=51', '51-41=10', '46-10=36']
Moving to Node #0,0,0,0
Current State: 43:[56], Operations: ['23+28=51', '51-41=10', '46+10=56']
Moving to Node #0,1,0
Current State: 43:[28, 64], Operations: ['46-23=23', '41+23=64']
Exploring Operation: 64-28=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Exploring Operation: 28+64=92, Resulting Numbers: [92]
92,43 unequal: No Solution
Moving to Node #0,0,1
Current State: 43:[41, 5], Operations: ['23+28=51', '51-46=5']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,43 unequal: No Solution
Exploring Operation: 41+5=46, Resulting Numbers: [46]
46,43 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 43:[46], Operations: ['23+28=51', '51-46=5', '41+5=46']
Moving to Node #0,0,1,0
Current State: 43:[36], Operations: ['23+28=51', '51-46=5', '41-5=36']
Moving to Node #0,1,0,0
Current State: 43:[36], Operations: ['46-23=23', '41+23=64', '64-28=36']
Moving to Node #0,1,1,0
Current State: 43:[10], Operations: ['46-23=23', '28+23=51', '51-41=10']
Moving to Node #0,1,0,0
Current State: 43:[92], Operations: ['46-23=23', '41+23=64', '28+64=92']
Moving to Node #0,1,1,0
Current State: 43:[92], Operations: ['46-23=23', '28+23=51', '41+51=92']
No solution found. | 0 | bfs_2 | Current State: 43:[46, 41, 23, 28], Operations: []
Exploring Operation: 41+28=69, Resulting Numbers: [46, 23, 69]
Generated Node #2: [46, 23, 69] from Operation: 41+28=69
Current State: 43:[46, 23, 69], Operations: ['41+28=69']
Exploring Operation: 69/23=3, Resulting Numbers: [46, 3]
Generated Node #3: [46, 3] from Operation: 69/23=3
Current State: 43:[46, 3], Operations: ['41+28=69', '69/23=3']
Exploring Operation: 46-3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| sum_heuristic |
[
12,
2,
4,
1
] | 24 | [
"12/2=6",
"4*1=4",
"6*4=24"
] | Current State: 24:[12, 2, 4, 1], Operations: []
Exploring Operation: 2*1=2, Resulting Numbers: [12, 4, 2]
Generated Node #0,0: 24:[12, 4, 2] Operation: 2*1=2
Exploring Operation: 12/1=12, Resulting Numbers: [2, 4, 12]
Generated Node #0,1: 24:[2, 4, 12] Operation: 12/1=12
Exploring Operation: 12*1=12, Resulting Numbers: [2, 4, 12]
Generated Node #0,2: 24:[2, 4, 12] Operation: 12*1=12
Exploring Operation: 2+1=3, Resulting Numbers: [12, 4, 3]
Generated Node #0,3: 24:[12, 4, 3] Operation: 2+1=3
Moving to Node #0,0
Current State: 24:[12, 4, 2], Operations: ['2*1=2']
Exploring Operation: 12-4=8, Resulting Numbers: [2, 8]
Generated Node #0,0,0: 24:[2, 8] Operation: 12-4=8
Exploring Operation: 12/4=3, Resulting Numbers: [2, 3]
Generated Node #0,0,1: 24:[2, 3] Operation: 12/4=3
Exploring Operation: 12*2=24, Resulting Numbers: [4, 24]
Generated Node #0,0,2: 24:[4, 24] Operation: 12*2=24
Exploring Operation: 12/2=6, Resulting Numbers: [4, 6]
Generated Node #0,0,3: 24:[4, 6] Operation: 12/2=6
Moving to Node #0,2
Current State: 24:[2, 4, 12], Operations: ['12*1=12']
Exploring Operation: 4/2=2, Resulting Numbers: [12, 2]
Generated Node #0,2,0: 24:[12, 2] Operation: 4/2=2
Exploring Operation: 4-2=2, Resulting Numbers: [12, 2]
Generated Node #0,2,1: 24:[12, 2] Operation: 4-2=2
Exploring Operation: 2*4=8, Resulting Numbers: [12, 8]
Generated Node #0,2,2: 24:[12, 8] Operation: 2*4=8
Exploring Operation: 2+4=6, Resulting Numbers: [12, 6]
Generated Node #0,2,3: 24:[12, 6] Operation: 2+4=6
Moving to Node #0,1
Current State: 24:[2, 4, 12], Operations: ['12/1=12']
Exploring Operation: 4-2=2, Resulting Numbers: [12, 2]
Generated Node #0,1,0: 24:[12, 2] Operation: 4-2=2
Exploring Operation: 4/2=2, Resulting Numbers: [12, 2]
Generated Node #0,1,1: 24:[12, 2] Operation: 4/2=2
Exploring Operation: 2*4=8, Resulting Numbers: [12, 8]
Generated Node #0,1,2: 24:[12, 8] Operation: 2*4=8
Exploring Operation: 2+4=6, Resulting Numbers: [12, 6]
Generated Node #0,1,3: 24:[12, 6] Operation: 2+4=6
Moving to Node #0,3
Current State: 24:[12, 4, 3], Operations: ['2+1=3']
Exploring Operation: 12-4=8, Resulting Numbers: [3, 8]
Generated Node #0,3,0: 24:[3, 8] Operation: 12-4=8
Exploring Operation: 4*3=12, Resulting Numbers: [12, 12]
Generated Node #0,3,1: 24:[12, 12] Operation: 4*3=12
Exploring Operation: 12/3=4, Resulting Numbers: [4, 4]
Generated Node #0,3,2: 24:[4, 4] Operation: 12/3=4
Exploring Operation: 12/4=3, Resulting Numbers: [3, 3]
Generated Node #0,3,3: 24:[3, 3] Operation: 12/4=3
Moving to Node #0,0,0
Current State: 24:[2, 8], Operations: ['2*1=2', '12-4=8']
Exploring Operation: 2+8=10, Resulting Numbers: [10]
10,24 unequal: No Solution
Exploring Operation: 2*8=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 8/2=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Exploring Operation: 8-2=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Moving to Node #0,0,2
Current State: 24:[4, 24], Operations: ['2*1=2', '12*2=24']
Exploring Operation: 24-4=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 24/4=6, Resulting Numbers: [6]
6,24 unequal: No Solution
Exploring Operation: 4+24=28, Resulting Numbers: [28]
28,24 unequal: No Solution
Exploring Operation: 4*24=96, Resulting Numbers: [96]
96,24 unequal: No Solution
Moving to Node #0,2,2
Current State: 24:[12, 8], Operations: ['12*1=12', '2*4=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,24 unequal: No Solution
Exploring Operation: 12*8=96, Resulting Numbers: [96]
96,24 unequal: No Solution
Exploring Operation: 12-8=4, Resulting Numbers: [4]
4,24 unequal: No Solution
Moving to Node #0,3,2
Current State: 24:[4, 4], Operations: ['2+1=3', '12/3=4']
Exploring Operation: 4*4=16, Resulting Numbers: [16]
16,24 unequal: No Solution
Exploring Operation: 4/4=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 4-4=0, Resulting Numbers: [0]
0,24 unequal: No Solution
Exploring Operation: 4+4=8, Resulting Numbers: [8]
8,24 unequal: No Solution
Moving to Node #0,3,1
Current State: 24:[12, 12], Operations: ['2+1=3', '4*3=12']
Exploring Operation: 12/12=1, Resulting Numbers: [1]
1,24 unequal: No Solution
Exploring Operation: 12+12=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 0.967014 | bfs_4 | Current State: 24:[12, 2, 4, 1], Operations: []
Exploring Operation: 12/2=6, Resulting Numbers: [4, 1, 6]
Generated Node #2: [4, 1, 6] from Operation: 12/2=6
Current State: 24:[4, 1, 6], Operations: ['12/2=6']
Exploring Operation: 4*1=4, Resulting Numbers: [6, 4]
Generated Node #3: [6, 4] from Operation: 4*1=4
Current State: 24:[6, 4], Operations: ['12/2=6', '4*1=4']
Exploring Operation: 6*4=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| mult_heuristic |
[
14,
49,
56,
7
] | 15 | [
"14-7=7",
"49+56=105",
"105/7=15"
] | Current State: 15:[14, 49, 56, 7], Operations: []
Exploring Operation: 56-49=7, Resulting Numbers: [14, 7, 7]
Generated Node #0,0: 15:[14, 7, 7] Operation: 56-49=7
Moving to Node #0,0
Current State: 15:[14, 7, 7], Operations: ['56-49=7']
Exploring Operation: 7+7=14, Resulting Numbers: [14, 14]
Generated Node #0,0,0: 15:[14, 14] Operation: 7+7=14
Moving to Node #0,0,0
Current State: 15:[14, 14], Operations: ['56-49=7', '7+7=14']
Exploring Operation: 14+14=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[14, 14], Operations: ['56-49=7', '7+7=14']
Exploring Operation: 14/14=1, Resulting Numbers: [1]
1,15 unequal: No Solution
Moving to Node #0,0,0
Current State: 15:[14, 14], Operations: ['56-49=7', '7+7=14']
Exploring Operation: 14-14=0, Resulting Numbers: [0]
0,15 unequal: No Solution
Moving to Node #0,0
Current State: 15:[14, 7, 7], Operations: ['56-49=7']
Exploring Operation: 14+7=21, Resulting Numbers: [7, 21]
Generated Node #0,0,1: 15:[7, 21] Operation: 14+7=21
Moving to Node #0,0,1
Current State: 15:[7, 21], Operations: ['56-49=7', '14+7=21']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[7, 21], Operations: ['56-49=7', '14+7=21']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Moving to Node #0,0,1
Current State: 15:[7, 21], Operations: ['56-49=7', '14+7=21']
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Moving to Node #0,0
Current State: 15:[14, 7, 7], Operations: ['56-49=7']
Exploring Operation: 14+7=21, Resulting Numbers: [7, 21]
Generated Node #0,0,2: 15:[7, 21] Operation: 14+7=21
Moving to Node #0,0,2
Current State: 15:[7, 21], Operations: ['56-49=7', '14+7=21']
Exploring Operation: 21-7=14, Resulting Numbers: [14]
14,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[7, 21], Operations: ['56-49=7', '14+7=21']
Exploring Operation: 21/7=3, Resulting Numbers: [3]
3,15 unequal: No Solution
Moving to Node #0,0,2
Current State: 15:[7, 21], Operations: ['56-49=7', '14+7=21']
Exploring Operation: 7+21=28, Resulting Numbers: [28]
28,15 unequal: No Solution
Moving to Node #0,0
Current State: 15:[14, 7, 7], Operations: ['56-49=7']
Exploring Operation: 7/7=1, Resulting Numbers: [14, 1]
Generated Node #0,0,3: 15:[14, 1] Operation: 7/7=1
Moving to Node #0,0,3
Current State: 15:[14, 1], Operations: ['56-49=7', '7/7=1']
Exploring Operation: 14+1=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 0.986111 | dfs | Current State: 15:[14, 49, 56, 7], Operations: []
Exploring Operation: 14-7=7, Resulting Numbers: [49, 56, 7]
Generated Node #2: [49, 56, 7] from Operation: 14-7=7
Current State: 15:[49, 56, 7], Operations: ['14-7=7']
Exploring Operation: 49+56=105, Resulting Numbers: [7, 105]
Generated Node #3: [7, 105] from Operation: 49+56=105
Current State: 15:[7, 105], Operations: ['14-7=7', '49+56=105']
Exploring Operation: 105/7=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| sum_heuristic |
[
36,
56,
7,
10
] | 70 | [
"56-36=20",
"20-10=10",
"7*10=70"
] | Current State: 70:[36, 56, 7, 10], Operations: []
Exploring Operation: 36+7=43, Resulting Numbers: [56, 10, 43]
Generated Node #0,0: 70:[56, 10, 43] Operation: 36+7=43
Exploring Operation: 7*10=70, Resulting Numbers: [36, 56, 70]
Generated Node #0,1: 70:[36, 56, 70] Operation: 7*10=70
Moving to Node #0,1
Current State: 70:[36, 56, 70], Operations: ['7*10=70']
Exploring Operation: 36+56=92, Resulting Numbers: [70, 92]
Generated Node #0,1,0: 70:[70, 92] Operation: 36+56=92
Exploring Operation: 56-36=20, Resulting Numbers: [70, 20]
Generated Node #0,1,1: 70:[70, 20] Operation: 56-36=20
Moving to Node #0,0
Current State: 70:[56, 10, 43], Operations: ['36+7=43']
Exploring Operation: 56+10=66, Resulting Numbers: [43, 66]
Generated Node #0,0,0: 70:[43, 66] Operation: 56+10=66
Exploring Operation: 10+43=53, Resulting Numbers: [56, 53]
Generated Node #0,0,1: 70:[56, 53] Operation: 10+43=53
Moving to Node #0,1,0
Current State: 70:[70, 92], Operations: ['7*10=70', '36+56=92']
Exploring Operation: 92-70=22, Resulting Numbers: [22]
22,70 unequal: No Solution
Exploring Operation: 70+92=162, Resulting Numbers: [162]
162,70 unequal: No Solution
Moving to Node #0,0,0
Current State: 70:[43, 66], Operations: ['36+7=43', '56+10=66']
Exploring Operation: 43+66=109, Resulting Numbers: [109]
109,70 unequal: No Solution
Exploring Operation: 66-43=23, Resulting Numbers: [23]
23,70 unequal: No Solution
Moving to Node #0,0,1
Current State: 70:[56, 53], Operations: ['36+7=43', '10+43=53']
Exploring Operation: 56-53=3, Resulting Numbers: [3]
3,70 unequal: No Solution
Exploring Operation: 56+53=109, Resulting Numbers: [109]
109,70 unequal: No Solution
Moving to Node #0,1,1
Current State: 70:[70, 20], Operations: ['7*10=70', '56-36=20']
Exploring Operation: 70-20=50, Resulting Numbers: [50]
50,70 unequal: No Solution
Exploring Operation: 70+20=90, Resulting Numbers: [90]
90,70 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 70:[50], Operations: ['7*10=70', '56-36=20', '70-20=50']
Moving to Node #0,1,1,0
Current State: 70:[90], Operations: ['7*10=70', '56-36=20', '70+20=90']
Moving to Node #0,0,0,0
Current State: 70:[109], Operations: ['36+7=43', '56+10=66', '43+66=109']
Moving to Node #0,0,1,0
Current State: 70:[109], Operations: ['36+7=43', '10+43=53', '56+53=109']
Moving to Node #0,0,0,0
Current State: 70:[23], Operations: ['36+7=43', '56+10=66', '66-43=23']
Moving to Node #0,1,0,0
Current State: 70:[22], Operations: ['7*10=70', '36+56=92', '92-70=22']
Moving to Node #0,0,1,0
Current State: 70:[3], Operations: ['36+7=43', '10+43=53', '56-53=3']
Moving to Node #0,1,0,0
Current State: 70:[162], Operations: ['7*10=70', '36+56=92', '70+92=162']
No solution found. | 0 | bfs_2 | Current State: 70:[36, 56, 7, 10], Operations: []
Exploring Operation: 56-36=20, Resulting Numbers: [7, 10, 20]
Generated Node #2: [7, 10, 20] from Operation: 56-36=20
Current State: 70:[7, 10, 20], Operations: ['56-36=20']
Exploring Operation: 20-10=10, Resulting Numbers: [7, 10]
Generated Node #3: [7, 10] from Operation: 20-10=10
Current State: 70:[7, 10], Operations: ['56-36=20', '20-10=10']
Exploring Operation: 7*10=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| sum_heuristic |
[
50,
26,
91,
83
] | 16 | [
"50-26=24",
"91-83=8",
"24-8=16"
] | Current State: 16:[50, 26, 91, 83], Operations: []
| 0 | dfs | Current State: 16:[50, 26, 91, 83], Operations: []
Exploring Operation: 50-26=24, Resulting Numbers: [91, 83, 24]
Generated Node #2: [91, 83, 24] from Operation: 50-26=24
Current State: 16:[91, 83, 24], Operations: ['50-26=24']
Exploring Operation: 91-83=8, Resulting Numbers: [24, 8]
Generated Node #3: [24, 8] from Operation: 91-83=8
Current State: 16:[24, 8], Operations: ['50-26=24', '91-83=8']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| mult_heuristic |
[
27,
21,
74,
19
] | 64 | [
"21-19=2",
"74/2=37",
"27+37=64"
] | Current State: 64:[27, 21, 74, 19], Operations: []
Exploring Operation: 74-21=53, Resulting Numbers: [27, 19, 53]
Generated Node #0,0: 64:[27, 19, 53] Operation: 74-21=53
Exploring Operation: 21-19=2, Resulting Numbers: [27, 74, 2]
Generated Node #0,1: 64:[27, 74, 2] Operation: 21-19=2
Exploring Operation: 27-21=6, Resulting Numbers: [74, 19, 6]
Generated Node #0,2: 64:[74, 19, 6] Operation: 27-21=6
Exploring Operation: 27-19=8, Resulting Numbers: [21, 74, 8]
Generated Node #0,3: 64:[21, 74, 8] Operation: 27-19=8
Moving to Node #0,1
Current State: 64:[27, 74, 2], Operations: ['21-19=2']
Exploring Operation: 74-2=72, Resulting Numbers: [27, 72]
Generated Node #0,1,0: 64:[27, 72] Operation: 74-2=72
Exploring Operation: 27+2=29, Resulting Numbers: [74, 29]
Generated Node #0,1,1: 64:[74, 29] Operation: 27+2=29
Exploring Operation: 74/2=37, Resulting Numbers: [27, 37]
Generated Node #0,1,2: 64:[27, 37] Operation: 74/2=37
Exploring Operation: 74-27=47, Resulting Numbers: [2, 47]
Generated Node #0,1,3: 64:[2, 47] Operation: 74-27=47
Moving to Node #0,3
Current State: 64:[21, 74, 8], Operations: ['27-19=8']
Exploring Operation: 21+8=29, Resulting Numbers: [74, 29]
Generated Node #0,3,0: 64:[74, 29] Operation: 21+8=29
Exploring Operation: 21-8=13, Resulting Numbers: [74, 13]
Generated Node #0,3,1: 64:[74, 13] Operation: 21-8=13
Exploring Operation: 74-8=66, Resulting Numbers: [21, 66]
Generated Node #0,3,2: 64:[21, 66] Operation: 74-8=66
Exploring Operation: 74-21=53, Resulting Numbers: [8, 53]
Generated Node #0,3,3: 64:[8, 53] Operation: 74-21=53
Moving to Node #0,2
Current State: 64:[74, 19, 6], Operations: ['27-21=6']
Exploring Operation: 19+6=25, Resulting Numbers: [74, 25]
Generated Node #0,2,0: 64:[74, 25] Operation: 19+6=25
Exploring Operation: 19-6=13, Resulting Numbers: [74, 13]
Generated Node #0,2,1: 64:[74, 13] Operation: 19-6=13
Exploring Operation: 74-19=55, Resulting Numbers: [6, 55]
Generated Node #0,2,2: 64:[6, 55] Operation: 74-19=55
Exploring Operation: 74-6=68, Resulting Numbers: [19, 68]
Generated Node #0,2,3: 64:[19, 68] Operation: 74-6=68
Moving to Node #0,0
Current State: 64:[27, 19, 53], Operations: ['74-21=53']
Exploring Operation: 27-19=8, Resulting Numbers: [53, 8]
Generated Node #0,0,0: 64:[53, 8] Operation: 27-19=8
Exploring Operation: 19+53=72, Resulting Numbers: [27, 72]
Generated Node #0,0,1: 64:[27, 72] Operation: 19+53=72
Exploring Operation: 53-19=34, Resulting Numbers: [27, 34]
Generated Node #0,0,2: 64:[27, 34] Operation: 53-19=34
Exploring Operation: 53-27=26, Resulting Numbers: [19, 26]
Generated Node #0,0,3: 64:[19, 26] Operation: 53-27=26
Moving to Node #0,3,2
Current State: 64:[21, 66], Operations: ['27-19=8', '74-8=66']
Exploring Operation: 21+66=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 21*66=1386, Resulting Numbers: [1386]
1386,64 unequal: No Solution
Exploring Operation: 66-21=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Moving to Node #0,0,2
Current State: 64:[27, 34], Operations: ['74-21=53', '53-19=34']
Exploring Operation: 27+34=61, Resulting Numbers: [61]
61,64 unequal: No Solution
Exploring Operation: 27*34=918, Resulting Numbers: [918]
918,64 unequal: No Solution
Exploring Operation: 34-27=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Moving to Node #0,2,3
Current State: 64:[19, 68], Operations: ['27-21=6', '74-6=68']
Exploring Operation: 19+68=87, Resulting Numbers: [87]
87,64 unequal: No Solution
Exploring Operation: 19*68=1292, Resulting Numbers: [1292]
1292,64 unequal: No Solution
Exploring Operation: 68-19=49, Resulting Numbers: [49]
49,64 unequal: No Solution
Moving to Node #0,0,3
Current State: 64:[19, 26], Operations: ['74-21=53', '53-27=26']
Exploring Operation: 26-19=7, Resulting Numbers: [7]
7,64 unequal: No Solution
Exploring Operation: 19+26=45, Resulting Numbers: [45]
45,64 unequal: No Solution
Exploring Operation: 19*26=494, Resulting Numbers: [494]
494,64 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 64:[7], Operations: ['74-21=53', '53-19=34', '34-27=7']
Moving to Node #0,0,3,0
Current State: 64:[7], Operations: ['74-21=53', '53-27=26', '26-19=7']
Moving to Node #0,0,2,0
Current State: 64:[61], Operations: ['74-21=53', '53-19=34', '27+34=61']
Moving to Node #0,1,2
Current State: 64:[27, 37], Operations: ['21-19=2', '74/2=37']
Exploring Operation: 37-27=10, Resulting Numbers: [10]
10,64 unequal: No Solution
Exploring Operation: 27*37=999, Resulting Numbers: [999]
999,64 unequal: No Solution
Exploring Operation: 27+37=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 0.96875 | bfs_4 | Current State: 64:[27, 21, 74, 19], Operations: []
Exploring Operation: 21-19=2, Resulting Numbers: [27, 74, 2]
Generated Node #2: [27, 74, 2] from Operation: 21-19=2
Current State: 64:[27, 74, 2], Operations: ['21-19=2']
Exploring Operation: 74/2=37, Resulting Numbers: [27, 37]
Generated Node #3: [27, 37] from Operation: 74/2=37
Current State: 64:[27, 37], Operations: ['21-19=2', '74/2=37']
Exploring Operation: 27+37=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| mult_heuristic |
[
16,
43,
57,
34
] | 22 | [
"16*57=912",
"34+912=946",
"946/43=22"
] | Current State: 22:[16, 43, 57, 34], Operations: []
Exploring Operation: 57-43=14, Resulting Numbers: [16, 34, 14]
Generated Node #0,0: 22:[16, 34, 14] Operation: 57-43=14
Moving to Node #0,0
Current State: 22:[16, 34, 14], Operations: ['57-43=14']
Exploring Operation: 34-14=20, Resulting Numbers: [16, 20]
Generated Node #0,0,0: 22:[16, 20] Operation: 34-14=20
Moving to Node #0,0,0
Current State: 22:[16, 20], Operations: ['57-43=14', '34-14=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Moving to Node #0,0,0
Current State: 22:[16, 20], Operations: ['57-43=14', '34-14=20']
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[16, 34, 14], Operations: ['57-43=14']
Exploring Operation: 34-16=18, Resulting Numbers: [14, 18]
Generated Node #0,0,1: 22:[14, 18] Operation: 34-16=18
Moving to Node #0,0,1
Current State: 22:[14, 18], Operations: ['57-43=14', '34-16=18']
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,0,1
Current State: 22:[14, 18], Operations: ['57-43=14', '34-16=18']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[16, 34, 14], Operations: ['57-43=14']
Exploring Operation: 16+14=30, Resulting Numbers: [34, 30]
Generated Node #0,0,2: 22:[34, 30] Operation: 16+14=30
Moving to Node #0,0,2
Current State: 22:[34, 30], Operations: ['57-43=14', '16+14=30']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[16, 34, 14], Operations: ['57-43=14']
Exploring Operation: 16-14=2, Resulting Numbers: [34, 2]
Generated Node #0,0,3: 22:[34, 2] Operation: 16-14=2
Moving to Node #0,0,3
Current State: 22:[34, 2], Operations: ['57-43=14', '16-14=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Moving to Node #0,0,3
Current State: 22:[34, 2], Operations: ['57-43=14', '16-14=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,0,3
Current State: 22:[34, 2], Operations: ['57-43=14', '16-14=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[16, 34, 14], Operations: ['57-43=14']
Exploring Operation: 34+14=48, Resulting Numbers: [16, 48]
Generated Node #0,0,4: 22:[16, 48] Operation: 34+14=48
Moving to Node #0,0,4
Current State: 22:[16, 48], Operations: ['57-43=14', '34+14=48']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,0,4
Current State: 22:[16, 48], Operations: ['57-43=14', '34+14=48']
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Moving to Node #0,0
Current State: 22:[16, 34, 14], Operations: ['57-43=14']
Exploring Operation: 16+34=50, Resulting Numbers: [14, 50]
Generated Node #0,0,5: 22:[14, 50] Operation: 16+34=50
Moving to Node #0,0,5
Current State: 22:[14, 50], Operations: ['57-43=14', '16+34=50']
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Moving to Node #0
Current State: 22:[16, 43, 57, 34], Operations: []
Exploring Operation: 57-34=23, Resulting Numbers: [16, 43, 23]
Generated Node #0,1: 22:[16, 43, 23] Operation: 57-34=23
Moving to Node #0,1
Current State: 22:[16, 43, 23], Operations: ['57-34=23']
Exploring Operation: 43-16=27, Resulting Numbers: [23, 27]
Generated Node #0,1,0: 22:[23, 27] Operation: 43-16=27
Moving to Node #0,1,0
Current State: 22:[23, 27], Operations: ['57-34=23', '43-16=27']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[16, 43, 23], Operations: ['57-34=23']
Exploring Operation: 43-23=20, Resulting Numbers: [16, 20]
Generated Node #0,1,1: 22:[16, 20] Operation: 43-23=20
Moving to Node #0,1,1
Current State: 22:[16, 20], Operations: ['57-34=23', '43-23=20']
Exploring Operation: 16+20=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Moving to Node #0,1,1
Current State: 22:[16, 20], Operations: ['57-34=23', '43-23=20']
Exploring Operation: 20-16=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[16, 43, 23], Operations: ['57-34=23']
Exploring Operation: 23-16=7, Resulting Numbers: [43, 7]
Generated Node #0,1,2: 22:[43, 7] Operation: 23-16=7
Moving to Node #0,1,2
Current State: 22:[43, 7], Operations: ['57-34=23', '23-16=7']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[16, 43, 23], Operations: ['57-34=23']
Exploring Operation: 16+43=59, Resulting Numbers: [23, 59]
Generated Node #0,1,3: 22:[23, 59] Operation: 16+43=59
Moving to Node #0,1,3
Current State: 22:[23, 59], Operations: ['57-34=23', '16+43=59']
Exploring Operation: 59-23=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Moving to Node #0,1
Current State: 22:[16, 43, 23], Operations: ['57-34=23']
Exploring Operation: 16+23=39, Resulting Numbers: [43, 39]
Generated Node #0,1,4: 22:[43, 39] Operation: 16+23=39
Moving to Node #0,1,4
Current State: 22:[43, 39], Operations: ['57-34=23', '16+23=39']
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0
Current State: 22:[16, 43, 57, 34], Operations: []
Exploring Operation: 43-16=27, Resulting Numbers: [57, 34, 27]
Generated Node #0,2: 22:[57, 34, 27] Operation: 43-16=27
Moving to Node #0,2
Current State: 22:[57, 34, 27], Operations: ['43-16=27']
Exploring Operation: 57-34=23, Resulting Numbers: [27, 23]
Generated Node #0,2,0: 22:[27, 23] Operation: 57-34=23
Moving to Node #0,2,0
Current State: 22:[27, 23], Operations: ['43-16=27', '57-34=23']
Exploring Operation: 27-23=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,2
Current State: 22:[57, 34, 27], Operations: ['43-16=27']
Exploring Operation: 57-27=30, Resulting Numbers: [34, 30]
Generated Node #0,2,1: 22:[34, 30] Operation: 57-27=30
Moving to Node #0,2,1
Current State: 22:[34, 30], Operations: ['43-16=27', '57-27=30']
Exploring Operation: 34-30=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0
Current State: 22:[16, 43, 57, 34], Operations: []
Exploring Operation: 57-16=41, Resulting Numbers: [43, 34, 41]
Generated Node #0,3: 22:[43, 34, 41] Operation: 57-16=41
Moving to Node #0,3
Current State: 22:[43, 34, 41], Operations: ['57-16=41']
Exploring Operation: 43-34=9, Resulting Numbers: [41, 9]
Generated Node #0,3,0: 22:[41, 9] Operation: 43-34=9
Moving to Node #0,3,0
Current State: 22:[41, 9], Operations: ['57-16=41', '43-34=9']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,3
Current State: 22:[43, 34, 41], Operations: ['57-16=41']
Exploring Operation: 43-41=2, Resulting Numbers: [34, 2]
Generated Node #0,3,1: 22:[34, 2] Operation: 43-41=2
Moving to Node #0,3,1
Current State: 22:[34, 2], Operations: ['57-16=41', '43-41=2']
Exploring Operation: 34/2=17, Resulting Numbers: [17]
17,22 unequal: No Solution
Moving to Node #0,3,1
Current State: 22:[34, 2], Operations: ['57-16=41', '43-41=2']
Exploring Operation: 34-2=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,3,1
Current State: 22:[34, 2], Operations: ['57-16=41', '43-41=2']
Exploring Operation: 34+2=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Moving to Node #0,3
Current State: 22:[43, 34, 41], Operations: ['57-16=41']
Exploring Operation: 41-34=7, Resulting Numbers: [43, 7]
Generated Node #0,3,2: 22:[43, 7] Operation: 41-34=7
Moving to Node #0,3,2
Current State: 22:[43, 7], Operations: ['57-16=41', '41-34=7']
Exploring Operation: 43-7=36, Resulting Numbers: [36]
36,22 unequal: No Solution
Moving to Node #0
Current State: 22:[16, 43, 57, 34], Operations: []
Exploring Operation: 43-34=9, Resulting Numbers: [16, 57, 9]
Generated Node #0,4: 22:[16, 57, 9] Operation: 43-34=9
Moving to Node #0,4
Current State: 22:[16, 57, 9], Operations: ['43-34=9']
Exploring Operation: 57-16=41, Resulting Numbers: [9, 41]
Generated Node #0,4,0: 22:[9, 41] Operation: 57-16=41
Moving to Node #0,4,0
Current State: 22:[9, 41], Operations: ['43-34=9', '57-16=41']
Exploring Operation: 41-9=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,4
Current State: 22:[16, 57, 9], Operations: ['43-34=9']
Exploring Operation: 57-9=48, Resulting Numbers: [16, 48]
Generated Node #0,4,1: 22:[16, 48] Operation: 57-9=48
Moving to Node #0,4,1
Current State: 22:[16, 48], Operations: ['43-34=9', '57-9=48']
Exploring Operation: 48-16=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,4,1
Current State: 22:[16, 48], Operations: ['43-34=9', '57-9=48']
Exploring Operation: 48/16=3, Resulting Numbers: [3]
3,22 unequal: No Solution
Moving to Node #0,4
Current State: 22:[16, 57, 9], Operations: ['43-34=9']
Exploring Operation: 16+9=25, Resulting Numbers: [57, 25]
Generated Node #0,4,2: 22:[57, 25] Operation: 16+9=25
Moving to Node #0,4,2
Current State: 22:[57, 25], Operations: ['43-34=9', '16+9=25']
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0
Current State: 22:[16, 43, 57, 34], Operations: []
Exploring Operation: 34-16=18, Resulting Numbers: [43, 57, 18]
Generated Node #0,5: 22:[43, 57, 18] Operation: 34-16=18
Moving to Node #0,5
Current State: 22:[43, 57, 18], Operations: ['34-16=18']
Exploring Operation: 57-43=14, Resulting Numbers: [18, 14]
Generated Node #0,5,0: 22:[18, 14] Operation: 57-43=14
Moving to Node #0,5,0
Current State: 22:[18, 14], Operations: ['34-16=18', '57-43=14']
Exploring Operation: 18+14=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,5,0
Current State: 22:[18, 14], Operations: ['34-16=18', '57-43=14']
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,22 unequal: No Solution
Moving to Node #0,5
Current State: 22:[43, 57, 18], Operations: ['34-16=18']
Exploring Operation: 43-18=25, Resulting Numbers: [57, 25]
Generated Node #0,5,1: 22:[57, 25] Operation: 43-18=25
Moving to Node #0,5,1
Current State: 22:[57, 25], Operations: ['34-16=18', '43-18=25']
Exploring Operation: 57-25=32, Resulting Numbers: [32]
32,22 unequal: No Solution
Moving to Node #0,5
Current State: 22:[43, 57, 18], Operations: ['34-16=18']
Exploring Operation: 57-18=39, Resulting Numbers: [43, 39]
Generated Node #0,5,2: 22:[43, 39] Operation: 57-18=39
Moving to Node #0,5,2
Current State: 22:[43, 39], Operations: ['34-16=18', '57-18=39']
Exploring Operation: 43-39=4, Resulting Numbers: [4]
4,22 unequal: No Solution
| 0 | dfs | Current State: 22:[16, 43, 57, 34], Operations: []
Exploring Operation: 16*57=912, Resulting Numbers: [43, 34, 912]
Generated Node #2: [43, 34, 912] from Operation: 16*57=912
Current State: 22:[43, 34, 912], Operations: ['16*57=912']
Exploring Operation: 34+912=946, Resulting Numbers: [43, 946]
Generated Node #3: [43, 946] from Operation: 34+912=946
Current State: 22:[43, 946], Operations: ['16*57=912', '34+912=946']
Exploring Operation: 946/43=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| sum_heuristic |
[
29,
92,
48,
62
] | 49 | [
"92-29=63",
"62-48=14",
"63-14=49"
] | Current State: 49:[29, 92, 48, 62], Operations: []
Exploring Operation: 62-29=33, Resulting Numbers: [92, 48, 33]
Generated Node #0,0: 49:[92, 48, 33] Operation: 62-29=33
Exploring Operation: 92-29=63, Resulting Numbers: [48, 62, 63]
Generated Node #0,1: 49:[48, 62, 63] Operation: 92-29=63
Exploring Operation: 92-48=44, Resulting Numbers: [29, 62, 44]
Generated Node #0,2: 49:[29, 62, 44] Operation: 92-48=44
Exploring Operation: 92-62=30, Resulting Numbers: [29, 48, 30]
Generated Node #0,3: 49:[29, 48, 30] Operation: 92-62=30
Moving to Node #0,1
Current State: 49:[48, 62, 63], Operations: ['92-29=63']
Exploring Operation: 62-48=14, Resulting Numbers: [63, 14]
Generated Node #0,1,0: 49:[63, 14] Operation: 62-48=14
Exploring Operation: 63-48=15, Resulting Numbers: [62, 15]
Generated Node #0,1,1: 49:[62, 15] Operation: 63-48=15
Exploring Operation: 63-62=1, Resulting Numbers: [48, 1]
Generated Node #0,1,2: 49:[48, 1] Operation: 63-62=1
Exploring Operation: 48+62=110, Resulting Numbers: [63, 110]
Generated Node #0,1,3: 49:[63, 110] Operation: 48+62=110
Moving to Node #0,2
Current State: 49:[29, 62, 44], Operations: ['92-48=44']
Exploring Operation: 62-29=33, Resulting Numbers: [44, 33]
Generated Node #0,2,0: 49:[44, 33] Operation: 62-29=33
Exploring Operation: 29+44=73, Resulting Numbers: [62, 73]
Generated Node #0,2,1: 49:[62, 73] Operation: 29+44=73
Exploring Operation: 44-29=15, Resulting Numbers: [62, 15]
Generated Node #0,2,2: 49:[62, 15] Operation: 44-29=15
Exploring Operation: 29+62=91, Resulting Numbers: [44, 91]
Generated Node #0,2,3: 49:[44, 91] Operation: 29+62=91
Moving to Node #0,3
Current State: 49:[29, 48, 30], Operations: ['92-62=30']
Exploring Operation: 48-29=19, Resulting Numbers: [30, 19]
Generated Node #0,3,0: 49:[30, 19] Operation: 48-29=19
Exploring Operation: 30-29=1, Resulting Numbers: [48, 1]
Generated Node #0,3,1: 49:[48, 1] Operation: 30-29=1
Exploring Operation: 29+30=59, Resulting Numbers: [48, 59]
Generated Node #0,3,2: 49:[48, 59] Operation: 29+30=59
Exploring Operation: 29+48=77, Resulting Numbers: [30, 77]
Generated Node #0,3,3: 49:[30, 77] Operation: 29+48=77
Moving to Node #0,0
Current State: 49:[92, 48, 33], Operations: ['62-29=33']
Exploring Operation: 92+33=125, Resulting Numbers: [48, 125]
Generated Node #0,0,0: 49:[48, 125] Operation: 92+33=125
Exploring Operation: 92-48=44, Resulting Numbers: [33, 44]
Generated Node #0,0,1: 49:[33, 44] Operation: 92-48=44
Exploring Operation: 48+33=81, Resulting Numbers: [92, 81]
Generated Node #0,0,2: 49:[92, 81] Operation: 48+33=81
Exploring Operation: 92-33=59, Resulting Numbers: [48, 59]
Generated Node #0,0,3: 49:[48, 59] Operation: 92-33=59
Moving to Node #0,3,2
Current State: 49:[48, 59], Operations: ['92-62=30', '29+30=59']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 48*59=2832, Resulting Numbers: [2832]
2832,49 unequal: No Solution
Exploring Operation: 48+59=107, Resulting Numbers: [107]
107,49 unequal: No Solution
Moving to Node #0,0,3
Current State: 49:[48, 59], Operations: ['62-29=33', '92-33=59']
Exploring Operation: 59-48=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 48*59=2832, Resulting Numbers: [2832]
2832,49 unequal: No Solution
Exploring Operation: 48+59=107, Resulting Numbers: [107]
107,49 unequal: No Solution
Moving to Node #0,0,1
Current State: 49:[33, 44], Operations: ['62-29=33', '92-48=44']
Exploring Operation: 33+44=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 33*44=1452, Resulting Numbers: [1452]
1452,49 unequal: No Solution
Moving to Node #0,2,0
Current State: 49:[44, 33], Operations: ['92-48=44', '62-29=33']
Exploring Operation: 44-33=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 44*33=1452, Resulting Numbers: [1452]
1452,49 unequal: No Solution
Exploring Operation: 44+33=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Moving to Node #0,2,1
Current State: 49:[62, 73], Operations: ['92-48=44', '29+44=73']
Exploring Operation: 73-62=11, Resulting Numbers: [11]
11,49 unequal: No Solution
Exploring Operation: 62+73=135, Resulting Numbers: [135]
135,49 unequal: No Solution
Exploring Operation: 62*73=4526, Resulting Numbers: [4526]
4526,49 unequal: No Solution
Moving to Node #0,2,2
Current State: 49:[62, 15], Operations: ['92-48=44', '44-29=15']
Exploring Operation: 62*15=930, Resulting Numbers: [930]
930,49 unequal: No Solution
Exploring Operation: 62+15=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Moving to Node #0,3,3
Current State: 49:[30, 77], Operations: ['92-62=30', '29+48=77']
Exploring Operation: 77-30=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 30+77=107, Resulting Numbers: [107]
107,49 unequal: No Solution
Exploring Operation: 30*77=2310, Resulting Numbers: [2310]
2310,49 unequal: No Solution
Moving to Node #0,1,1
Current State: 49:[62, 15], Operations: ['92-29=63', '63-48=15']
Exploring Operation: 62*15=930, Resulting Numbers: [930]
930,49 unequal: No Solution
Exploring Operation: 62+15=77, Resulting Numbers: [77]
77,49 unequal: No Solution
Exploring Operation: 62-15=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Moving to Node #0,2,2,0
Current State: 49:[47], Operations: ['92-48=44', '44-29=15', '62-15=47']
Moving to Node #0,3,3,0
Current State: 49:[47], Operations: ['92-62=30', '29+48=77', '77-30=47']
Moving to Node #0,1,1,0
Current State: 49:[47], Operations: ['92-29=63', '63-48=15', '62-15=47']
Moving to Node #0,2,3
Current State: 49:[44, 91], Operations: ['92-48=44', '29+62=91']
Exploring Operation: 44+91=135, Resulting Numbers: [135]
135,49 unequal: No Solution
Exploring Operation: 91-44=47, Resulting Numbers: [47]
47,49 unequal: No Solution
Exploring Operation: 44*91=4004, Resulting Numbers: [4004]
4004,49 unequal: No Solution
Moving to Node #0,2,3,0
Current State: 49:[47], Operations: ['92-48=44', '29+62=91', '91-44=47']
Moving to Node #0,1,2
Current State: 49:[48, 1], Operations: ['92-29=63', '63-62=1']
Exploring Operation: 48/1=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 48*1=48, Resulting Numbers: [48]
48,49 unequal: No Solution
Exploring Operation: 48+1=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 0.955729 | bfs_4 | Current State: 49:[29, 92, 48, 62], Operations: []
Exploring Operation: 92-29=63, Resulting Numbers: [48, 62, 63]
Generated Node #2: [48, 62, 63] from Operation: 92-29=63
Current State: 49:[48, 62, 63], Operations: ['92-29=63']
Exploring Operation: 62-48=14, Resulting Numbers: [63, 14]
Generated Node #3: [63, 14] from Operation: 62-48=14
Current State: 49:[63, 14], Operations: ['92-29=63', '62-48=14']
Exploring Operation: 63-14=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| sum_heuristic |
[
70,
76,
3,
50
] | 59 | [
"76-70=6",
"3+50=53",
"6+53=59"
] | Current State: 59:[70, 76, 3, 50], Operations: []
Exploring Operation: 70-3=67, Resulting Numbers: [76, 50, 67]
Generated Node #0,0: 59:[76, 50, 67] Operation: 70-3=67
Moving to Node #0,0
Current State: 59:[76, 50, 67], Operations: ['70-3=67']
Exploring Operation: 76-50=26, Resulting Numbers: [67, 26]
Generated Node #0,0,0: 59:[67, 26] Operation: 76-50=26
Moving to Node #0,0,0
Current State: 59:[67, 26], Operations: ['70-3=67', '76-50=26']
Exploring Operation: 67-26=41, Resulting Numbers: [41]
41,59 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 59:[41], Operations: ['70-3=67', '76-50=26', '67-26=41']
No solution found. | 0 | bfs_1 | Current State: 59:[70, 76, 3, 50], Operations: []
Exploring Operation: 76-70=6, Resulting Numbers: [3, 50, 6]
Generated Node #2: [3, 50, 6] from Operation: 76-70=6
Current State: 59:[3, 50, 6], Operations: ['76-70=6']
Exploring Operation: 3+50=53, Resulting Numbers: [6, 53]
Generated Node #3: [6, 53] from Operation: 3+50=53
Current State: 59:[6, 53], Operations: ['76-70=6', '3+50=53']
Exploring Operation: 6+53=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| mult_heuristic |
[
73,
51,
3,
93
] | 75 | [
"73*3=219",
"51+93=144",
"219-144=75"
] | Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 51+3=54, Resulting Numbers: [73, 93, 54]
Generated Node #0,0: 75:[73, 93, 54] Operation: 51+3=54
Moving to Node #0,0
Current State: 75:[73, 93, 54], Operations: ['51+3=54']
Exploring Operation: 93-54=39, Resulting Numbers: [73, 39]
Generated Node #0,0,0: 75:[73, 39] Operation: 93-54=39
Moving to Node #0,0,0
Current State: 75:[73, 39], Operations: ['51+3=54', '93-54=39']
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[73, 39], Operations: ['51+3=54', '93-54=39']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[73, 93, 54], Operations: ['51+3=54']
Exploring Operation: 73+54=127, Resulting Numbers: [93, 127]
Generated Node #0,0,1: 75:[93, 127] Operation: 73+54=127
Moving to Node #0,0,1
Current State: 75:[93, 127], Operations: ['51+3=54', '73+54=127']
Exploring Operation: 127-93=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[73, 93, 54], Operations: ['51+3=54']
Exploring Operation: 73-54=19, Resulting Numbers: [93, 19]
Generated Node #0,0,2: 75:[93, 19] Operation: 73-54=19
Moving to Node #0,0,2
Current State: 75:[93, 19], Operations: ['51+3=54', '73-54=19']
Exploring Operation: 93-19=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[93, 19], Operations: ['51+3=54', '73-54=19']
Exploring Operation: 93+19=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[73, 93, 54], Operations: ['51+3=54']
Exploring Operation: 93+54=147, Resulting Numbers: [73, 147]
Generated Node #0,0,3: 75:[73, 147] Operation: 93+54=147
Moving to Node #0,0,3
Current State: 75:[73, 147], Operations: ['51+3=54', '93+54=147']
Exploring Operation: 147-73=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[73, 93, 54], Operations: ['51+3=54']
Exploring Operation: 93-73=20, Resulting Numbers: [54, 20]
Generated Node #0,0,4: 75:[54, 20] Operation: 93-73=20
Moving to Node #0,0,4
Current State: 75:[54, 20], Operations: ['51+3=54', '93-73=20']
Exploring Operation: 54+20=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,0,4
Current State: 75:[54, 20], Operations: ['51+3=54', '93-73=20']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[73, 93, 54], Operations: ['51+3=54']
Exploring Operation: 73+93=166, Resulting Numbers: [54, 166]
Generated Node #0,0,5: 75:[54, 166] Operation: 73+93=166
Moving to Node #0,0,5
Current State: 75:[54, 166], Operations: ['51+3=54', '73+93=166']
Exploring Operation: 166-54=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 93-3=90, Resulting Numbers: [73, 51, 90]
Generated Node #0,1: 75:[73, 51, 90] Operation: 93-3=90
Moving to Node #0,1
Current State: 75:[73, 51, 90], Operations: ['93-3=90']
Exploring Operation: 90-51=39, Resulting Numbers: [73, 39]
Generated Node #0,1,0: 75:[73, 39] Operation: 90-51=39
Moving to Node #0,1,0
Current State: 75:[73, 39], Operations: ['93-3=90', '90-51=39']
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[73, 39], Operations: ['93-3=90', '90-51=39']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[73, 51, 90], Operations: ['93-3=90']
Exploring Operation: 73+51=124, Resulting Numbers: [90, 124]
Generated Node #0,1,1: 75:[90, 124] Operation: 73+51=124
Moving to Node #0,1,1
Current State: 75:[90, 124], Operations: ['93-3=90', '73+51=124']
Exploring Operation: 124-90=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[73, 51, 90], Operations: ['93-3=90']
Exploring Operation: 73-51=22, Resulting Numbers: [90, 22]
Generated Node #0,1,2: 75:[90, 22] Operation: 73-51=22
Moving to Node #0,1,2
Current State: 75:[90, 22], Operations: ['93-3=90', '73-51=22']
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[90, 22], Operations: ['93-3=90', '73-51=22']
Exploring Operation: 90+22=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[73, 51, 90], Operations: ['93-3=90']
Exploring Operation: 51+90=141, Resulting Numbers: [73, 141]
Generated Node #0,1,3: 75:[73, 141] Operation: 51+90=141
Moving to Node #0,1,3
Current State: 75:[73, 141], Operations: ['93-3=90', '51+90=141']
Exploring Operation: 141-73=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[73, 51, 90], Operations: ['93-3=90']
Exploring Operation: 90-73=17, Resulting Numbers: [51, 17]
Generated Node #0,1,4: 75:[51, 17] Operation: 90-73=17
Moving to Node #0,1,4
Current State: 75:[51, 17], Operations: ['93-3=90', '90-73=17']
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,1,4
Current State: 75:[51, 17], Operations: ['93-3=90', '90-73=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,1,4
Current State: 75:[51, 17], Operations: ['93-3=90', '90-73=17']
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[73, 51, 90], Operations: ['93-3=90']
Exploring Operation: 73+90=163, Resulting Numbers: [51, 163]
Generated Node #0,1,5: 75:[51, 163] Operation: 73+90=163
Moving to Node #0,1,5
Current State: 75:[51, 163], Operations: ['93-3=90', '73+90=163']
Exploring Operation: 163-51=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 73+3=76, Resulting Numbers: [51, 93, 76]
Generated Node #0,2: 75:[51, 93, 76] Operation: 73+3=76
Moving to Node #0,2
Current State: 75:[51, 93, 76], Operations: ['73+3=76']
Exploring Operation: 93-51=42, Resulting Numbers: [76, 42]
Generated Node #0,2,0: 75:[76, 42] Operation: 93-51=42
Moving to Node #0,2,0
Current State: 75:[76, 42], Operations: ['73+3=76', '93-51=42']
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,2,0
Current State: 75:[76, 42], Operations: ['73+3=76', '93-51=42']
Exploring Operation: 76+42=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,2
Current State: 75:[51, 93, 76], Operations: ['73+3=76']
Exploring Operation: 76-51=25, Resulting Numbers: [93, 25]
Generated Node #0,2,1: 75:[93, 25] Operation: 76-51=25
Moving to Node #0,2,1
Current State: 75:[93, 25], Operations: ['73+3=76', '76-51=25']
Exploring Operation: 93-25=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,2,1
Current State: 75:[93, 25], Operations: ['73+3=76', '76-51=25']
Exploring Operation: 93+25=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,2
Current State: 75:[51, 93, 76], Operations: ['73+3=76']
Exploring Operation: 51+93=144, Resulting Numbers: [76, 144]
Generated Node #0,2,2: 75:[76, 144] Operation: 51+93=144
Moving to Node #0,2,2
Current State: 75:[76, 144], Operations: ['73+3=76', '51+93=144']
Exploring Operation: 144-76=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,2
Current State: 75:[51, 93, 76], Operations: ['73+3=76']
Exploring Operation: 51+76=127, Resulting Numbers: [93, 127]
Generated Node #0,2,3: 75:[93, 127] Operation: 51+76=127
Moving to Node #0,2,3
Current State: 75:[93, 127], Operations: ['73+3=76', '51+76=127']
Exploring Operation: 127-93=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,2
Current State: 75:[51, 93, 76], Operations: ['73+3=76']
Exploring Operation: 93-76=17, Resulting Numbers: [51, 17]
Generated Node #0,2,4: 75:[51, 17] Operation: 93-76=17
Moving to Node #0,2,4
Current State: 75:[51, 17], Operations: ['73+3=76', '93-76=17']
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[51, 17], Operations: ['73+3=76', '93-76=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,2,4
Current State: 75:[51, 17], Operations: ['73+3=76', '93-76=17']
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,2
Current State: 75:[51, 93, 76], Operations: ['73+3=76']
Exploring Operation: 93+76=169, Resulting Numbers: [51, 169]
Generated Node #0,2,5: 75:[51, 169] Operation: 93+76=169
Moving to Node #0,2,5
Current State: 75:[51, 169], Operations: ['73+3=76', '93+76=169']
Exploring Operation: 169-51=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 73-3=70, Resulting Numbers: [51, 93, 70]
Generated Node #0,3: 75:[51, 93, 70] Operation: 73-3=70
Moving to Node #0,3
Current State: 75:[51, 93, 70], Operations: ['73-3=70']
Exploring Operation: 93-51=42, Resulting Numbers: [70, 42]
Generated Node #0,3,0: 75:[70, 42] Operation: 93-51=42
Moving to Node #0,3,0
Current State: 75:[70, 42], Operations: ['73-3=70', '93-51=42']
Exploring Operation: 70+42=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,3,0
Current State: 75:[70, 42], Operations: ['73-3=70', '93-51=42']
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,3
Current State: 75:[51, 93, 70], Operations: ['73-3=70']
Exploring Operation: 51+70=121, Resulting Numbers: [93, 121]
Generated Node #0,3,1: 75:[93, 121] Operation: 51+70=121
Moving to Node #0,3,1
Current State: 75:[93, 121], Operations: ['73-3=70', '51+70=121']
Exploring Operation: 121-93=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,3
Current State: 75:[51, 93, 70], Operations: ['73-3=70']
Exploring Operation: 51+93=144, Resulting Numbers: [70, 144]
Generated Node #0,3,2: 75:[70, 144] Operation: 51+93=144
Moving to Node #0,3,2
Current State: 75:[70, 144], Operations: ['73-3=70', '51+93=144']
Exploring Operation: 144-70=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,3
Current State: 75:[51, 93, 70], Operations: ['73-3=70']
Exploring Operation: 70-51=19, Resulting Numbers: [93, 19]
Generated Node #0,3,3: 75:[93, 19] Operation: 70-51=19
Moving to Node #0,3,3
Current State: 75:[93, 19], Operations: ['73-3=70', '70-51=19']
Exploring Operation: 93-19=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,3,3
Current State: 75:[93, 19], Operations: ['73-3=70', '70-51=19']
Exploring Operation: 93+19=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,3
Current State: 75:[51, 93, 70], Operations: ['73-3=70']
Exploring Operation: 93-70=23, Resulting Numbers: [51, 23]
Generated Node #0,3,4: 75:[51, 23] Operation: 93-70=23
Moving to Node #0,3,4
Current State: 75:[51, 23], Operations: ['73-3=70', '93-70=23']
Exploring Operation: 51+23=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,3,4
Current State: 75:[51, 23], Operations: ['73-3=70', '93-70=23']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,3
Current State: 75:[51, 93, 70], Operations: ['73-3=70']
Exploring Operation: 93+70=163, Resulting Numbers: [51, 163]
Generated Node #0,3,5: 75:[51, 163] Operation: 93+70=163
Moving to Node #0,3,5
Current State: 75:[51, 163], Operations: ['73-3=70', '93+70=163']
Exploring Operation: 163-51=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 51-3=48, Resulting Numbers: [73, 93, 48]
Generated Node #0,4: 75:[73, 93, 48] Operation: 51-3=48
Moving to Node #0,4
Current State: 75:[73, 93, 48], Operations: ['51-3=48']
Exploring Operation: 93-48=45, Resulting Numbers: [73, 45]
Generated Node #0,4,0: 75:[73, 45] Operation: 93-48=45
Moving to Node #0,4,0
Current State: 75:[73, 45], Operations: ['51-3=48', '93-48=45']
Exploring Operation: 73+45=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,4,0
Current State: 75:[73, 45], Operations: ['51-3=48', '93-48=45']
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,4
Current State: 75:[73, 93, 48], Operations: ['51-3=48']
Exploring Operation: 73+48=121, Resulting Numbers: [93, 121]
Generated Node #0,4,1: 75:[93, 121] Operation: 73+48=121
Moving to Node #0,4,1
Current State: 75:[93, 121], Operations: ['51-3=48', '73+48=121']
Exploring Operation: 121-93=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,4
Current State: 75:[73, 93, 48], Operations: ['51-3=48']
Exploring Operation: 73-48=25, Resulting Numbers: [93, 25]
Generated Node #0,4,2: 75:[93, 25] Operation: 73-48=25
Moving to Node #0,4,2
Current State: 75:[93, 25], Operations: ['51-3=48', '73-48=25']
Exploring Operation: 93-25=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,4,2
Current State: 75:[93, 25], Operations: ['51-3=48', '73-48=25']
Exploring Operation: 93+25=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,4
Current State: 75:[73, 93, 48], Operations: ['51-3=48']
Exploring Operation: 93+48=141, Resulting Numbers: [73, 141]
Generated Node #0,4,3: 75:[73, 141] Operation: 93+48=141
Moving to Node #0,4,3
Current State: 75:[73, 141], Operations: ['51-3=48', '93+48=141']
Exploring Operation: 141-73=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,4
Current State: 75:[73, 93, 48], Operations: ['51-3=48']
Exploring Operation: 93-73=20, Resulting Numbers: [48, 20]
Generated Node #0,4,4: 75:[48, 20] Operation: 93-73=20
Moving to Node #0,4,4
Current State: 75:[48, 20], Operations: ['51-3=48', '93-73=20']
Exploring Operation: 48+20=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,4,4
Current State: 75:[48, 20], Operations: ['51-3=48', '93-73=20']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,4
Current State: 75:[73, 93, 48], Operations: ['51-3=48']
Exploring Operation: 73+93=166, Resulting Numbers: [48, 166]
Generated Node #0,4,5: 75:[48, 166] Operation: 73+93=166
Moving to Node #0,4,5
Current State: 75:[48, 166], Operations: ['51-3=48', '73+93=166']
Exploring Operation: 166-48=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 3+93=96, Resulting Numbers: [73, 51, 96]
Generated Node #0,5: 75:[73, 51, 96] Operation: 3+93=96
Moving to Node #0,5
Current State: 75:[73, 51, 96], Operations: ['3+93=96']
Exploring Operation: 96-51=45, Resulting Numbers: [73, 45]
Generated Node #0,5,0: 75:[73, 45] Operation: 96-51=45
Moving to Node #0,5,0
Current State: 75:[73, 45], Operations: ['3+93=96', '96-51=45']
Exploring Operation: 73+45=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,5,0
Current State: 75:[73, 45], Operations: ['3+93=96', '96-51=45']
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,5
Current State: 75:[73, 51, 96], Operations: ['3+93=96']
Exploring Operation: 73+51=124, Resulting Numbers: [96, 124]
Generated Node #0,5,1: 75:[96, 124] Operation: 73+51=124
Moving to Node #0,5,1
Current State: 75:[96, 124], Operations: ['3+93=96', '73+51=124']
Exploring Operation: 124-96=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,5
Current State: 75:[73, 51, 96], Operations: ['3+93=96']
Exploring Operation: 73-51=22, Resulting Numbers: [96, 22]
Generated Node #0,5,2: 75:[96, 22] Operation: 73-51=22
Moving to Node #0,5,2
Current State: 75:[96, 22], Operations: ['3+93=96', '73-51=22']
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,5,2
Current State: 75:[96, 22], Operations: ['3+93=96', '73-51=22']
Exploring Operation: 96+22=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,5
Current State: 75:[73, 51, 96], Operations: ['3+93=96']
Exploring Operation: 51+96=147, Resulting Numbers: [73, 147]
Generated Node #0,5,3: 75:[73, 147] Operation: 51+96=147
Moving to Node #0,5,3
Current State: 75:[73, 147], Operations: ['3+93=96', '51+96=147']
Exploring Operation: 147-73=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,5
Current State: 75:[73, 51, 96], Operations: ['3+93=96']
Exploring Operation: 96-73=23, Resulting Numbers: [51, 23]
Generated Node #0,5,4: 75:[51, 23] Operation: 96-73=23
Moving to Node #0,5,4
Current State: 75:[51, 23], Operations: ['3+93=96', '96-73=23']
Exploring Operation: 51+23=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,5,4
Current State: 75:[51, 23], Operations: ['3+93=96', '96-73=23']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,5
Current State: 75:[73, 51, 96], Operations: ['3+93=96']
Exploring Operation: 73+96=169, Resulting Numbers: [51, 169]
Generated Node #0,5,5: 75:[51, 169] Operation: 73+96=169
Moving to Node #0,5,5
Current State: 75:[51, 169], Operations: ['3+93=96', '73+96=169']
Exploring Operation: 169-51=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 93/3=31, Resulting Numbers: [73, 51, 31]
Generated Node #0,6: 75:[73, 51, 31] Operation: 93/3=31
Moving to Node #0,6
Current State: 75:[73, 51, 31], Operations: ['93/3=31']
Exploring Operation: 51+31=82, Resulting Numbers: [73, 82]
Generated Node #0,6,0: 75:[73, 82] Operation: 51+31=82
Moving to Node #0,6,0
Current State: 75:[73, 82], Operations: ['93/3=31', '51+31=82']
Exploring Operation: 82-73=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,6
Current State: 75:[73, 51, 31], Operations: ['93/3=31']
Exploring Operation: 73+31=104, Resulting Numbers: [51, 104]
Generated Node #0,6,1: 75:[51, 104] Operation: 73+31=104
Moving to Node #0,6,1
Current State: 75:[51, 104], Operations: ['93/3=31', '73+31=104']
Exploring Operation: 104-51=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Moving to Node #0,6
Current State: 75:[73, 51, 31], Operations: ['93/3=31']
Exploring Operation: 73-31=42, Resulting Numbers: [51, 42]
Generated Node #0,6,2: 75:[51, 42] Operation: 73-31=42
Moving to Node #0,6,2
Current State: 75:[51, 42], Operations: ['93/3=31', '73-31=42']
Exploring Operation: 51+42=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,6,2
Current State: 75:[51, 42], Operations: ['93/3=31', '73-31=42']
Exploring Operation: 51-42=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,6
Current State: 75:[73, 51, 31], Operations: ['93/3=31']
Exploring Operation: 51-31=20, Resulting Numbers: [73, 20]
Generated Node #0,6,3: 75:[73, 20] Operation: 51-31=20
Moving to Node #0,6,3
Current State: 75:[73, 20], Operations: ['93/3=31', '51-31=20']
Exploring Operation: 73+20=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,6,3
Current State: 75:[73, 20], Operations: ['93/3=31', '51-31=20']
Exploring Operation: 73-20=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Moving to Node #0,6
Current State: 75:[73, 51, 31], Operations: ['93/3=31']
Exploring Operation: 73+51=124, Resulting Numbers: [31, 124]
Generated Node #0,6,4: 75:[31, 124] Operation: 73+51=124
Moving to Node #0,6,4
Current State: 75:[31, 124], Operations: ['93/3=31', '73+51=124']
Exploring Operation: 124-31=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,6,4
Current State: 75:[31, 124], Operations: ['93/3=31', '73+51=124']
Exploring Operation: 124/31=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Moving to Node #0,6
Current State: 75:[73, 51, 31], Operations: ['93/3=31']
Exploring Operation: 73-51=22, Resulting Numbers: [31, 22]
Generated Node #0,6,5: 75:[31, 22] Operation: 73-51=22
Moving to Node #0,6,5
Current State: 75:[31, 22], Operations: ['93/3=31', '73-51=22']
Exploring Operation: 31+22=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Moving to Node #0,6,5
Current State: 75:[31, 22], Operations: ['93/3=31', '73-51=22']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 51/3=17, Resulting Numbers: [73, 93, 17]
Generated Node #0,7: 75:[73, 93, 17] Operation: 51/3=17
Moving to Node #0,7
Current State: 75:[73, 93, 17], Operations: ['51/3=17']
Exploring Operation: 93-17=76, Resulting Numbers: [73, 76]
Generated Node #0,7,0: 75:[73, 76] Operation: 93-17=76
Moving to Node #0,7,0
Current State: 75:[73, 76], Operations: ['51/3=17', '93-17=76']
Exploring Operation: 76-73=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,7,0
Current State: 75:[73, 76], Operations: ['51/3=17', '93-17=76']
Exploring Operation: 73+76=149, Resulting Numbers: [149]
149,75 unequal: No Solution
Moving to Node #0,7
Current State: 75:[73, 93, 17], Operations: ['51/3=17']
Exploring Operation: 73+17=90, Resulting Numbers: [93, 90]
Generated Node #0,7,1: 75:[93, 90] Operation: 73+17=90
Moving to Node #0,7,1
Current State: 75:[93, 90], Operations: ['51/3=17', '73+17=90']
Exploring Operation: 93-90=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,7
Current State: 75:[73, 93, 17], Operations: ['51/3=17']
Exploring Operation: 73-17=56, Resulting Numbers: [93, 56]
Generated Node #0,7,2: 75:[93, 56] Operation: 73-17=56
Moving to Node #0,7,2
Current State: 75:[93, 56], Operations: ['51/3=17', '73-17=56']
Exploring Operation: 93-56=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Moving to Node #0,7,2
Current State: 75:[93, 56], Operations: ['51/3=17', '73-17=56']
Exploring Operation: 93+56=149, Resulting Numbers: [149]
149,75 unequal: No Solution
Moving to Node #0,7
Current State: 75:[73, 93, 17], Operations: ['51/3=17']
Exploring Operation: 93+17=110, Resulting Numbers: [73, 110]
Generated Node #0,7,3: 75:[73, 110] Operation: 93+17=110
Moving to Node #0,7,3
Current State: 75:[73, 110], Operations: ['51/3=17', '93+17=110']
Exploring Operation: 110-73=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Moving to Node #0,7
Current State: 75:[73, 93, 17], Operations: ['51/3=17']
Exploring Operation: 93-73=20, Resulting Numbers: [17, 20]
Generated Node #0,7,4: 75:[17, 20] Operation: 93-73=20
Moving to Node #0,7,4
Current State: 75:[17, 20], Operations: ['51/3=17', '93-73=20']
Exploring Operation: 17+20=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Moving to Node #0,7,4
Current State: 75:[17, 20], Operations: ['51/3=17', '93-73=20']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,7
Current State: 75:[73, 93, 17], Operations: ['51/3=17']
Exploring Operation: 73+93=166, Resulting Numbers: [17, 166]
Generated Node #0,7,5: 75:[17, 166] Operation: 73+93=166
Moving to Node #0,7,5
Current State: 75:[17, 166], Operations: ['51/3=17', '73+93=166']
Exploring Operation: 166-17=149, Resulting Numbers: [149]
149,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 51*3=153, Resulting Numbers: [73, 93, 153]
Generated Node #0,8: 75:[73, 93, 153] Operation: 51*3=153
Moving to Node #0,8
Current State: 75:[73, 93, 153], Operations: ['51*3=153']
Exploring Operation: 153-93=60, Resulting Numbers: [73, 60]
Generated Node #0,8,0: 75:[73, 60] Operation: 153-93=60
Moving to Node #0,8,0
Current State: 75:[73, 60], Operations: ['51*3=153', '153-93=60']
Exploring Operation: 73+60=133, Resulting Numbers: [133]
133,75 unequal: No Solution
Moving to Node #0,8,0
Current State: 75:[73, 60], Operations: ['51*3=153', '153-93=60']
Exploring Operation: 73-60=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Moving to Node #0,8
Current State: 75:[73, 93, 153], Operations: ['51*3=153']
Exploring Operation: 153-73=80, Resulting Numbers: [93, 80]
Generated Node #0,8,1: 75:[93, 80] Operation: 153-73=80
Moving to Node #0,8,1
Current State: 75:[93, 80], Operations: ['51*3=153', '153-73=80']
Exploring Operation: 93-80=13, Resulting Numbers: [13]
13,75 unequal: No Solution
Moving to Node #0,8
Current State: 75:[73, 93, 153], Operations: ['51*3=153']
Exploring Operation: 93-73=20, Resulting Numbers: [153, 20]
Generated Node #0,8,2: 75:[153, 20] Operation: 93-73=20
Moving to Node #0,8,2
Current State: 75:[153, 20], Operations: ['51*3=153', '93-73=20']
Exploring Operation: 153-20=133, Resulting Numbers: [133]
133,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 93-51=42, Resulting Numbers: [73, 3, 42]
Generated Node #0,9: 75:[73, 3, 42] Operation: 93-51=42
Moving to Node #0,9
Current State: 75:[73, 3, 42], Operations: ['93-51=42']
Exploring Operation: 3+42=45, Resulting Numbers: [73, 45]
Generated Node #0,9,0: 75:[73, 45] Operation: 3+42=45
Moving to Node #0,9,0
Current State: 75:[73, 45], Operations: ['93-51=42', '3+42=45']
Exploring Operation: 73+45=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,9,0
Current State: 75:[73, 45], Operations: ['93-51=42', '3+42=45']
Exploring Operation: 73-45=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,9
Current State: 75:[73, 3, 42], Operations: ['93-51=42']
Exploring Operation: 73+3=76, Resulting Numbers: [42, 76]
Generated Node #0,9,1: 75:[42, 76] Operation: 73+3=76
Moving to Node #0,9,1
Current State: 75:[42, 76], Operations: ['93-51=42', '73+3=76']
Exploring Operation: 76-42=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,9,1
Current State: 75:[42, 76], Operations: ['93-51=42', '73+3=76']
Exploring Operation: 42+76=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,9
Current State: 75:[73, 3, 42], Operations: ['93-51=42']
Exploring Operation: 73-3=70, Resulting Numbers: [42, 70]
Generated Node #0,9,2: 75:[42, 70] Operation: 73-3=70
Moving to Node #0,9,2
Current State: 75:[42, 70], Operations: ['93-51=42', '73-3=70']
Exploring Operation: 42+70=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,9,2
Current State: 75:[42, 70], Operations: ['93-51=42', '73-3=70']
Exploring Operation: 70-42=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,9
Current State: 75:[73, 3, 42], Operations: ['93-51=42']
Exploring Operation: 42-3=39, Resulting Numbers: [73, 39]
Generated Node #0,9,3: 75:[73, 39] Operation: 42-3=39
Moving to Node #0,9,3
Current State: 75:[73, 39], Operations: ['93-51=42', '42-3=39']
Exploring Operation: 73+39=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,9,3
Current State: 75:[73, 39], Operations: ['93-51=42', '42-3=39']
Exploring Operation: 73-39=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,9
Current State: 75:[73, 3, 42], Operations: ['93-51=42']
Exploring Operation: 3*42=126, Resulting Numbers: [73, 126]
Generated Node #0,9,4: 75:[73, 126] Operation: 3*42=126
Moving to Node #0,9,4
Current State: 75:[73, 126], Operations: ['93-51=42', '3*42=126']
Exploring Operation: 126-73=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Moving to Node #0,9
Current State: 75:[73, 3, 42], Operations: ['93-51=42']
Exploring Operation: 42/3=14, Resulting Numbers: [73, 14]
Generated Node #0,9,5: 75:[73, 14] Operation: 42/3=14
Moving to Node #0,9,5
Current State: 75:[73, 14], Operations: ['93-51=42', '42/3=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,75 unequal: No Solution
Moving to Node #0,9,5
Current State: 75:[73, 14], Operations: ['93-51=42', '42/3=14']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Moving to Node #0,9
Current State: 75:[73, 3, 42], Operations: ['93-51=42']
Exploring Operation: 73+42=115, Resulting Numbers: [3, 115]
Generated Node #0,9,6: 75:[3, 115] Operation: 73+42=115
Moving to Node #0,9,6
Current State: 75:[3, 115], Operations: ['93-51=42', '73+42=115']
Exploring Operation: 115-3=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,9,6
Current State: 75:[3, 115], Operations: ['93-51=42', '73+42=115']
Exploring Operation: 3+115=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,9
Current State: 75:[73, 3, 42], Operations: ['93-51=42']
Exploring Operation: 73-42=31, Resulting Numbers: [3, 31]
Generated Node #0,9,7: 75:[3, 31] Operation: 73-42=31
Moving to Node #0,9,7
Current State: 75:[3, 31], Operations: ['93-51=42', '73-42=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,9,7
Current State: 75:[3, 31], Operations: ['93-51=42', '73-42=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,9,7
Current State: 75:[3, 31], Operations: ['93-51=42', '73-42=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 73+51=124, Resulting Numbers: [3, 93, 124]
Generated Node #0,10: 75:[3, 93, 124] Operation: 73+51=124
Moving to Node #0,10
Current State: 75:[3, 93, 124], Operations: ['73+51=124']
Exploring Operation: 93-3=90, Resulting Numbers: [124, 90]
Generated Node #0,10,0: 75:[124, 90] Operation: 93-3=90
Moving to Node #0,10,0
Current State: 75:[124, 90], Operations: ['73+51=124', '93-3=90']
Exploring Operation: 124-90=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,10
Current State: 75:[3, 93, 124], Operations: ['73+51=124']
Exploring Operation: 124-3=121, Resulting Numbers: [93, 121]
Generated Node #0,10,1: 75:[93, 121] Operation: 124-3=121
Moving to Node #0,10,1
Current State: 75:[93, 121], Operations: ['73+51=124', '124-3=121']
Exploring Operation: 121-93=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,10
Current State: 75:[3, 93, 124], Operations: ['73+51=124']
Exploring Operation: 3+93=96, Resulting Numbers: [124, 96]
Generated Node #0,10,2: 75:[124, 96] Operation: 3+93=96
Moving to Node #0,10,2
Current State: 75:[124, 96], Operations: ['73+51=124', '3+93=96']
Exploring Operation: 124-96=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,10
Current State: 75:[3, 93, 124], Operations: ['73+51=124']
Exploring Operation: 3+124=127, Resulting Numbers: [93, 127]
Generated Node #0,10,3: 75:[93, 127] Operation: 3+124=127
Moving to Node #0,10,3
Current State: 75:[93, 127], Operations: ['73+51=124', '3+124=127']
Exploring Operation: 127-93=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,10
Current State: 75:[3, 93, 124], Operations: ['73+51=124']
Exploring Operation: 93/3=31, Resulting Numbers: [124, 31]
Generated Node #0,10,4: 75:[124, 31] Operation: 93/3=31
Moving to Node #0,10,4
Current State: 75:[124, 31], Operations: ['73+51=124', '93/3=31']
Exploring Operation: 124-31=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,10,4
Current State: 75:[124, 31], Operations: ['73+51=124', '93/3=31']
Exploring Operation: 124/31=4, Resulting Numbers: [4]
4,75 unequal: No Solution
Moving to Node #0,10
Current State: 75:[3, 93, 124], Operations: ['73+51=124']
Exploring Operation: 124-93=31, Resulting Numbers: [3, 31]
Generated Node #0,10,5: 75:[3, 31] Operation: 124-93=31
Moving to Node #0,10,5
Current State: 75:[3, 31], Operations: ['73+51=124', '124-93=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,10,5
Current State: 75:[3, 31], Operations: ['73+51=124', '124-93=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,10,5
Current State: 75:[3, 31], Operations: ['73+51=124', '124-93=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 73-51=22, Resulting Numbers: [3, 93, 22]
Generated Node #0,11: 75:[3, 93, 22] Operation: 73-51=22
Moving to Node #0,11
Current State: 75:[3, 93, 22], Operations: ['73-51=22']
Exploring Operation: 3*22=66, Resulting Numbers: [93, 66]
Generated Node #0,11,0: 75:[93, 66] Operation: 3*22=66
Moving to Node #0,11,0
Current State: 75:[93, 66], Operations: ['73-51=22', '3*22=66']
Exploring Operation: 93-66=27, Resulting Numbers: [27]
27,75 unequal: No Solution
Moving to Node #0,11
Current State: 75:[3, 93, 22], Operations: ['73-51=22']
Exploring Operation: 93-3=90, Resulting Numbers: [22, 90]
Generated Node #0,11,1: 75:[22, 90] Operation: 93-3=90
Moving to Node #0,11,1
Current State: 75:[22, 90], Operations: ['73-51=22', '93-3=90']
Exploring Operation: 90-22=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,11,1
Current State: 75:[22, 90], Operations: ['73-51=22', '93-3=90']
Exploring Operation: 22+90=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,11
Current State: 75:[3, 93, 22], Operations: ['73-51=22']
Exploring Operation: 3+22=25, Resulting Numbers: [93, 25]
Generated Node #0,11,2: 75:[93, 25] Operation: 3+22=25
Moving to Node #0,11,2
Current State: 75:[93, 25], Operations: ['73-51=22', '3+22=25']
Exploring Operation: 93-25=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,11,2
Current State: 75:[93, 25], Operations: ['73-51=22', '3+22=25']
Exploring Operation: 93+25=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,11
Current State: 75:[3, 93, 22], Operations: ['73-51=22']
Exploring Operation: 3+93=96, Resulting Numbers: [22, 96]
Generated Node #0,11,3: 75:[22, 96] Operation: 3+93=96
Moving to Node #0,11,3
Current State: 75:[22, 96], Operations: ['73-51=22', '3+93=96']
Exploring Operation: 96-22=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,11,3
Current State: 75:[22, 96], Operations: ['73-51=22', '3+93=96']
Exploring Operation: 22+96=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0,11
Current State: 75:[3, 93, 22], Operations: ['73-51=22']
Exploring Operation: 22-3=19, Resulting Numbers: [93, 19]
Generated Node #0,11,4: 75:[93, 19] Operation: 22-3=19
Moving to Node #0,11,4
Current State: 75:[93, 19], Operations: ['73-51=22', '22-3=19']
Exploring Operation: 93-19=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,11,4
Current State: 75:[93, 19], Operations: ['73-51=22', '22-3=19']
Exploring Operation: 93+19=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,11
Current State: 75:[3, 93, 22], Operations: ['73-51=22']
Exploring Operation: 93-22=71, Resulting Numbers: [3, 71]
Generated Node #0,11,5: 75:[3, 71] Operation: 93-22=71
Moving to Node #0,11,5
Current State: 75:[3, 71], Operations: ['73-51=22', '93-22=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,11,5
Current State: 75:[3, 71], Operations: ['73-51=22', '93-22=71']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,11
Current State: 75:[3, 93, 22], Operations: ['73-51=22']
Exploring Operation: 93/3=31, Resulting Numbers: [22, 31]
Generated Node #0,11,6: 75:[22, 31] Operation: 93/3=31
Moving to Node #0,11,6
Current State: 75:[22, 31], Operations: ['73-51=22', '93/3=31']
Exploring Operation: 22+31=53, Resulting Numbers: [53]
53,75 unequal: No Solution
Moving to Node #0,11,6
Current State: 75:[22, 31], Operations: ['73-51=22', '93/3=31']
Exploring Operation: 31-22=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,11
Current State: 75:[3, 93, 22], Operations: ['73-51=22']
Exploring Operation: 93+22=115, Resulting Numbers: [3, 115]
Generated Node #0,11,7: 75:[3, 115] Operation: 93+22=115
Moving to Node #0,11,7
Current State: 75:[3, 115], Operations: ['73-51=22', '93+22=115']
Exploring Operation: 115-3=112, Resulting Numbers: [112]
112,75 unequal: No Solution
Moving to Node #0,11,7
Current State: 75:[3, 115], Operations: ['73-51=22', '93+22=115']
Exploring Operation: 3+115=118, Resulting Numbers: [118]
118,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 51+93=144, Resulting Numbers: [73, 3, 144]
Generated Node #0,12: 75:[73, 3, 144] Operation: 51+93=144
Moving to Node #0,12
Current State: 75:[73, 3, 144], Operations: ['51+93=144']
Exploring Operation: 144/3=48, Resulting Numbers: [73, 48]
Generated Node #0,12,0: 75:[73, 48] Operation: 144/3=48
Moving to Node #0,12,0
Current State: 75:[73, 48], Operations: ['51+93=144', '144/3=48']
Exploring Operation: 73+48=121, Resulting Numbers: [121]
121,75 unequal: No Solution
Moving to Node #0,12,0
Current State: 75:[73, 48], Operations: ['51+93=144', '144/3=48']
Exploring Operation: 73-48=25, Resulting Numbers: [25]
25,75 unequal: No Solution
Moving to Node #0,12
Current State: 75:[73, 3, 144], Operations: ['51+93=144']
Exploring Operation: 144-3=141, Resulting Numbers: [73, 141]
Generated Node #0,12,1: 75:[73, 141] Operation: 144-3=141
Moving to Node #0,12,1
Current State: 75:[73, 141], Operations: ['51+93=144', '144-3=141']
Exploring Operation: 141-73=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,12
Current State: 75:[73, 3, 144], Operations: ['51+93=144']
Exploring Operation: 73+3=76, Resulting Numbers: [144, 76]
Generated Node #0,12,2: 75:[144, 76] Operation: 73+3=76
Moving to Node #0,12,2
Current State: 75:[144, 76], Operations: ['51+93=144', '73+3=76']
Exploring Operation: 144-76=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,12
Current State: 75:[73, 3, 144], Operations: ['51+93=144']
Exploring Operation: 73-3=70, Resulting Numbers: [144, 70]
Generated Node #0,12,3: 75:[144, 70] Operation: 73-3=70
Moving to Node #0,12,3
Current State: 75:[144, 70], Operations: ['51+93=144', '73-3=70']
Exploring Operation: 144-70=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,12
Current State: 75:[73, 3, 144], Operations: ['51+93=144']
Exploring Operation: 3+144=147, Resulting Numbers: [73, 147]
Generated Node #0,12,4: 75:[73, 147] Operation: 3+144=147
Moving to Node #0,12,4
Current State: 75:[73, 147], Operations: ['51+93=144', '3+144=147']
Exploring Operation: 147-73=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,12
Current State: 75:[73, 3, 144], Operations: ['51+93=144']
Exploring Operation: 144-73=71, Resulting Numbers: [3, 71]
Generated Node #0,12,5: 75:[3, 71] Operation: 144-73=71
Moving to Node #0,12,5
Current State: 75:[3, 71], Operations: ['51+93=144', '144-73=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,12,5
Current State: 75:[3, 71], Operations: ['51+93=144', '144-73=71']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 93-73=20, Resulting Numbers: [51, 3, 20]
Generated Node #0,13: 75:[51, 3, 20] Operation: 93-73=20
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 3*20=60, Resulting Numbers: [51, 60]
Generated Node #0,13,0: 75:[51, 60] Operation: 3*20=60
Moving to Node #0,13,0
Current State: 75:[51, 60], Operations: ['93-73=20', '3*20=60']
Exploring Operation: 51+60=111, Resulting Numbers: [111]
111,75 unequal: No Solution
Moving to Node #0,13,0
Current State: 75:[51, 60], Operations: ['93-73=20', '3*20=60']
Exploring Operation: 60-51=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 51+3=54, Resulting Numbers: [20, 54]
Generated Node #0,13,1: 75:[20, 54] Operation: 51+3=54
Moving to Node #0,13,1
Current State: 75:[20, 54], Operations: ['93-73=20', '51+3=54']
Exploring Operation: 20+54=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,13,1
Current State: 75:[20, 54], Operations: ['93-73=20', '51+3=54']
Exploring Operation: 54-20=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 51+20=71, Resulting Numbers: [3, 71]
Generated Node #0,13,2: 75:[3, 71] Operation: 51+20=71
Moving to Node #0,13,2
Current State: 75:[3, 71], Operations: ['93-73=20', '51+20=71']
Exploring Operation: 3+71=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,13,2
Current State: 75:[3, 71], Operations: ['93-73=20', '51+20=71']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 3+20=23, Resulting Numbers: [51, 23]
Generated Node #0,13,3: 75:[51, 23] Operation: 3+20=23
Moving to Node #0,13,3
Current State: 75:[51, 23], Operations: ['93-73=20', '3+20=23']
Exploring Operation: 51+23=74, Resulting Numbers: [74]
74,75 unequal: No Solution
Moving to Node #0,13,3
Current State: 75:[51, 23], Operations: ['93-73=20', '3+20=23']
Exploring Operation: 51-23=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 51-3=48, Resulting Numbers: [20, 48]
Generated Node #0,13,4: 75:[20, 48] Operation: 51-3=48
Moving to Node #0,13,4
Current State: 75:[20, 48], Operations: ['93-73=20', '51-3=48']
Exploring Operation: 20+48=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,13,4
Current State: 75:[20, 48], Operations: ['93-73=20', '51-3=48']
Exploring Operation: 48-20=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 20-3=17, Resulting Numbers: [51, 17]
Generated Node #0,13,5: 75:[51, 17] Operation: 20-3=17
Moving to Node #0,13,5
Current State: 75:[51, 17], Operations: ['93-73=20', '20-3=17']
Exploring Operation: 51+17=68, Resulting Numbers: [68]
68,75 unequal: No Solution
Moving to Node #0,13,5
Current State: 75:[51, 17], Operations: ['93-73=20', '20-3=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,13,5
Current State: 75:[51, 17], Operations: ['93-73=20', '20-3=17']
Exploring Operation: 51/17=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 51/3=17, Resulting Numbers: [20, 17]
Generated Node #0,13,6: 75:[20, 17] Operation: 51/3=17
Moving to Node #0,13,6
Current State: 75:[20, 17], Operations: ['93-73=20', '51/3=17']
Exploring Operation: 20+17=37, Resulting Numbers: [37]
37,75 unequal: No Solution
Moving to Node #0,13,6
Current State: 75:[20, 17], Operations: ['93-73=20', '51/3=17']
Exploring Operation: 20-17=3, Resulting Numbers: [3]
3,75 unequal: No Solution
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 51-20=31, Resulting Numbers: [3, 31]
Generated Node #0,13,7: 75:[3, 31] Operation: 51-20=31
Moving to Node #0,13,7
Current State: 75:[3, 31], Operations: ['93-73=20', '51-20=31']
Exploring Operation: 3*31=93, Resulting Numbers: [93]
93,75 unequal: No Solution
Moving to Node #0,13,7
Current State: 75:[3, 31], Operations: ['93-73=20', '51-20=31']
Exploring Operation: 3+31=34, Resulting Numbers: [34]
34,75 unequal: No Solution
Moving to Node #0,13,7
Current State: 75:[3, 31], Operations: ['93-73=20', '51-20=31']
Exploring Operation: 31-3=28, Resulting Numbers: [28]
28,75 unequal: No Solution
Moving to Node #0,13
Current State: 75:[51, 3, 20], Operations: ['93-73=20']
Exploring Operation: 51*3=153, Resulting Numbers: [20, 153]
Generated Node #0,13,8: 75:[20, 153] Operation: 51*3=153
Moving to Node #0,13,8
Current State: 75:[20, 153], Operations: ['93-73=20', '51*3=153']
Exploring Operation: 153-20=133, Resulting Numbers: [133]
133,75 unequal: No Solution
Moving to Node #0
Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 73*3=219, Resulting Numbers: [51, 93, 219]
Generated Node #0,14: 75:[51, 93, 219] Operation: 73*3=219
Moving to Node #0,14
Current State: 75:[51, 93, 219], Operations: ['73*3=219']
Exploring Operation: 219-93=126, Resulting Numbers: [51, 126]
Generated Node #0,14,0: 75:[51, 126] Operation: 219-93=126
Moving to Node #0,14,0
Current State: 75:[51, 126], Operations: ['73*3=219', '219-93=126']
Exploring Operation: 126-51=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.78125 | dfs | Current State: 75:[73, 51, 3, 93], Operations: []
Exploring Operation: 73*3=219, Resulting Numbers: [51, 93, 219]
Generated Node #2: [51, 93, 219] from Operation: 73*3=219
Current State: 75:[51, 93, 219], Operations: ['73*3=219']
Exploring Operation: 51+93=144, Resulting Numbers: [219, 144]
Generated Node #3: [219, 144] from Operation: 51+93=144
Current State: 75:[219, 144], Operations: ['73*3=219', '51+93=144']
Exploring Operation: 219-144=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| sum_heuristic |
[
45,
40,
71,
24
] | 98 | [
"45*24=1080",
"1080/40=27",
"71+27=98"
] | Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 71-24=47, Resulting Numbers: [45, 40, 47]
Generated Node #0,0: 98:[45, 40, 47] Operation: 71-24=47
Moving to Node #0,0
Current State: 98:[45, 40, 47], Operations: ['71-24=47']
Exploring Operation: 45-40=5, Resulting Numbers: [47, 5]
Generated Node #0,0,0: 98:[47, 5] Operation: 45-40=5
Moving to Node #0,0,0
Current State: 98:[47, 5], Operations: ['71-24=47', '45-40=5']
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,0,0
Current State: 98:[47, 5], Operations: ['71-24=47', '45-40=5']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,0
Current State: 98:[45, 40, 47], Operations: ['71-24=47']
Exploring Operation: 47-40=7, Resulting Numbers: [45, 7]
Generated Node #0,0,1: 98:[45, 7] Operation: 47-40=7
Moving to Node #0,0,1
Current State: 98:[45, 7], Operations: ['71-24=47', '47-40=7']
Exploring Operation: 45+7=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,0,1
Current State: 98:[45, 7], Operations: ['71-24=47', '47-40=7']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,0
Current State: 98:[45, 40, 47], Operations: ['71-24=47']
Exploring Operation: 47-45=2, Resulting Numbers: [40, 2]
Generated Node #0,0,2: 98:[40, 2] Operation: 47-45=2
Moving to Node #0,0,2
Current State: 98:[40, 2], Operations: ['71-24=47', '47-45=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[40, 2], Operations: ['71-24=47', '47-45=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[40, 2], Operations: ['71-24=47', '47-45=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,0,2
Current State: 98:[40, 2], Operations: ['71-24=47', '47-45=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,98 unequal: No Solution
Moving to Node #0,0
Current State: 98:[45, 40, 47], Operations: ['71-24=47']
Exploring Operation: 45+40=85, Resulting Numbers: [47, 85]
Generated Node #0,0,3: 98:[47, 85] Operation: 45+40=85
Moving to Node #0,0,3
Current State: 98:[47, 85], Operations: ['71-24=47', '45+40=85']
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,0,3
Current State: 98:[47, 85], Operations: ['71-24=47', '45+40=85']
Exploring Operation: 47+85=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,0
Current State: 98:[45, 40, 47], Operations: ['71-24=47']
Exploring Operation: 45+47=92, Resulting Numbers: [40, 92]
Generated Node #0,0,4: 98:[40, 92] Operation: 45+47=92
Moving to Node #0,0,4
Current State: 98:[40, 92], Operations: ['71-24=47', '45+47=92']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,0,4
Current State: 98:[40, 92], Operations: ['71-24=47', '45+47=92']
Exploring Operation: 40+92=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,0
Current State: 98:[45, 40, 47], Operations: ['71-24=47']
Exploring Operation: 40+47=87, Resulting Numbers: [45, 87]
Generated Node #0,0,5: 98:[45, 87] Operation: 40+47=87
Moving to Node #0,0,5
Current State: 98:[45, 87], Operations: ['71-24=47', '40+47=87']
Exploring Operation: 87-45=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,0,5
Current State: 98:[45, 87], Operations: ['71-24=47', '40+47=87']
Exploring Operation: 45+87=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 71+24=95, Resulting Numbers: [45, 40, 95]
Generated Node #0,1: 98:[45, 40, 95] Operation: 71+24=95
Moving to Node #0,1
Current State: 98:[45, 40, 95], Operations: ['71+24=95']
Exploring Operation: 45-40=5, Resulting Numbers: [95, 5]
Generated Node #0,1,0: 98:[95, 5] Operation: 45-40=5
Moving to Node #0,1,0
Current State: 98:[95, 5], Operations: ['71+24=95', '45-40=5']
Exploring Operation: 95+5=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[95, 5], Operations: ['71+24=95', '45-40=5']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,98 unequal: No Solution
Moving to Node #0,1,0
Current State: 98:[95, 5], Operations: ['71+24=95', '45-40=5']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,1
Current State: 98:[45, 40, 95], Operations: ['71+24=95']
Exploring Operation: 95-45=50, Resulting Numbers: [40, 50]
Generated Node #0,1,1: 98:[40, 50] Operation: 95-45=50
Moving to Node #0,1,1
Current State: 98:[40, 50], Operations: ['71+24=95', '95-45=50']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,1,1
Current State: 98:[40, 50], Operations: ['71+24=95', '95-45=50']
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,1
Current State: 98:[45, 40, 95], Operations: ['71+24=95']
Exploring Operation: 95-40=55, Resulting Numbers: [45, 55]
Generated Node #0,1,2: 98:[45, 55] Operation: 95-40=55
Moving to Node #0,1,2
Current State: 98:[45, 55], Operations: ['71+24=95', '95-40=55']
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,1,2
Current State: 98:[45, 55], Operations: ['71+24=95', '95-40=55']
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,1
Current State: 98:[45, 40, 95], Operations: ['71+24=95']
Exploring Operation: 45+40=85, Resulting Numbers: [95, 85]
Generated Node #0,1,3: 98:[95, 85] Operation: 45+40=85
Moving to Node #0,1,3
Current State: 98:[95, 85], Operations: ['71+24=95', '45+40=85']
Exploring Operation: 95-85=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,1,3
Current State: 98:[95, 85], Operations: ['71+24=95', '45+40=85']
Exploring Operation: 95+85=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,1
Current State: 98:[45, 40, 95], Operations: ['71+24=95']
Exploring Operation: 40+95=135, Resulting Numbers: [45, 135]
Generated Node #0,1,4: 98:[45, 135] Operation: 40+95=135
Moving to Node #0,1,4
Current State: 98:[45, 135], Operations: ['71+24=95', '40+95=135']
Exploring Operation: 135/45=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[45, 135], Operations: ['71+24=95', '40+95=135']
Exploring Operation: 135-45=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,1,4
Current State: 98:[45, 135], Operations: ['71+24=95', '40+95=135']
Exploring Operation: 45+135=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,1
Current State: 98:[45, 40, 95], Operations: ['71+24=95']
Exploring Operation: 45+95=140, Resulting Numbers: [40, 140]
Generated Node #0,1,5: 98:[40, 140] Operation: 45+95=140
Moving to Node #0,1,5
Current State: 98:[40, 140], Operations: ['71+24=95', '45+95=140']
Exploring Operation: 140-40=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,1,5
Current State: 98:[40, 140], Operations: ['71+24=95', '45+95=140']
Exploring Operation: 40+140=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 40+71=111, Resulting Numbers: [45, 24, 111]
Generated Node #0,2: 98:[45, 24, 111] Operation: 40+71=111
Moving to Node #0,2
Current State: 98:[45, 24, 111], Operations: ['40+71=111']
Exploring Operation: 111-24=87, Resulting Numbers: [45, 87]
Generated Node #0,2,0: 98:[45, 87] Operation: 111-24=87
Moving to Node #0,2,0
Current State: 98:[45, 87], Operations: ['40+71=111', '111-24=87']
Exploring Operation: 87-45=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,2,0
Current State: 98:[45, 87], Operations: ['40+71=111', '111-24=87']
Exploring Operation: 45+87=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,2
Current State: 98:[45, 24, 111], Operations: ['40+71=111']
Exploring Operation: 45-24=21, Resulting Numbers: [111, 21]
Generated Node #0,2,1: 98:[111, 21] Operation: 45-24=21
Moving to Node #0,2,1
Current State: 98:[111, 21], Operations: ['40+71=111', '45-24=21']
Exploring Operation: 111-21=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,2,1
Current State: 98:[111, 21], Operations: ['40+71=111', '45-24=21']
Exploring Operation: 111+21=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,2
Current State: 98:[45, 24, 111], Operations: ['40+71=111']
Exploring Operation: 111-45=66, Resulting Numbers: [24, 66]
Generated Node #0,2,2: 98:[24, 66] Operation: 111-45=66
Moving to Node #0,2,2
Current State: 98:[24, 66], Operations: ['40+71=111', '111-45=66']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,2,2
Current State: 98:[24, 66], Operations: ['40+71=111', '111-45=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,2
Current State: 98:[45, 24, 111], Operations: ['40+71=111']
Exploring Operation: 45+24=69, Resulting Numbers: [111, 69]
Generated Node #0,2,3: 98:[111, 69] Operation: 45+24=69
Moving to Node #0,2,3
Current State: 98:[111, 69], Operations: ['40+71=111', '45+24=69']
Exploring Operation: 111-69=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,2,3
Current State: 98:[111, 69], Operations: ['40+71=111', '45+24=69']
Exploring Operation: 111+69=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,2
Current State: 98:[45, 24, 111], Operations: ['40+71=111']
Exploring Operation: 24+111=135, Resulting Numbers: [45, 135]
Generated Node #0,2,4: 98:[45, 135] Operation: 24+111=135
Moving to Node #0,2,4
Current State: 98:[45, 135], Operations: ['40+71=111', '24+111=135']
Exploring Operation: 135/45=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Moving to Node #0,2,4
Current State: 98:[45, 135], Operations: ['40+71=111', '24+111=135']
Exploring Operation: 135-45=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,2,4
Current State: 98:[45, 135], Operations: ['40+71=111', '24+111=135']
Exploring Operation: 45+135=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,2
Current State: 98:[45, 24, 111], Operations: ['40+71=111']
Exploring Operation: 45+111=156, Resulting Numbers: [24, 156]
Generated Node #0,2,5: 98:[24, 156] Operation: 45+111=156
Moving to Node #0,2,5
Current State: 98:[24, 156], Operations: ['40+71=111', '45+111=156']
Exploring Operation: 156-24=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,2,5
Current State: 98:[24, 156], Operations: ['40+71=111', '45+111=156']
Exploring Operation: 24+156=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 40-24=16, Resulting Numbers: [45, 71, 16]
Generated Node #0,3: 98:[45, 71, 16] Operation: 40-24=16
Moving to Node #0,3
Current State: 98:[45, 71, 16], Operations: ['40-24=16']
Exploring Operation: 71-16=55, Resulting Numbers: [45, 55]
Generated Node #0,3,0: 98:[45, 55] Operation: 71-16=55
Moving to Node #0,3,0
Current State: 98:[45, 55], Operations: ['40-24=16', '71-16=55']
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,3,0
Current State: 98:[45, 55], Operations: ['40-24=16', '71-16=55']
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,3
Current State: 98:[45, 71, 16], Operations: ['40-24=16']
Exploring Operation: 71-45=26, Resulting Numbers: [16, 26]
Generated Node #0,3,1: 98:[16, 26] Operation: 71-45=26
Moving to Node #0,3,1
Current State: 98:[16, 26], Operations: ['40-24=16', '71-45=26']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,3,1
Current State: 98:[16, 26], Operations: ['40-24=16', '71-45=26']
Exploring Operation: 16+26=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,3
Current State: 98:[45, 71, 16], Operations: ['40-24=16']
Exploring Operation: 71+16=87, Resulting Numbers: [45, 87]
Generated Node #0,3,2: 98:[45, 87] Operation: 71+16=87
Moving to Node #0,3,2
Current State: 98:[45, 87], Operations: ['40-24=16', '71+16=87']
Exploring Operation: 87-45=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,3,2
Current State: 98:[45, 87], Operations: ['40-24=16', '71+16=87']
Exploring Operation: 45+87=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,3
Current State: 98:[45, 71, 16], Operations: ['40-24=16']
Exploring Operation: 45+71=116, Resulting Numbers: [16, 116]
Generated Node #0,3,3: 98:[16, 116] Operation: 45+71=116
Moving to Node #0,3,3
Current State: 98:[16, 116], Operations: ['40-24=16', '45+71=116']
Exploring Operation: 116-16=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,3,3
Current State: 98:[16, 116], Operations: ['40-24=16', '45+71=116']
Exploring Operation: 16+116=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,3
Current State: 98:[45, 71, 16], Operations: ['40-24=16']
Exploring Operation: 45+16=61, Resulting Numbers: [71, 61]
Generated Node #0,3,4: 98:[71, 61] Operation: 45+16=61
Moving to Node #0,3,4
Current State: 98:[71, 61], Operations: ['40-24=16', '45+16=61']
Exploring Operation: 71-61=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,3,4
Current State: 98:[71, 61], Operations: ['40-24=16', '45+16=61']
Exploring Operation: 71+61=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,3
Current State: 98:[45, 71, 16], Operations: ['40-24=16']
Exploring Operation: 45-16=29, Resulting Numbers: [71, 29]
Generated Node #0,3,5: 98:[71, 29] Operation: 45-16=29
Moving to Node #0,3,5
Current State: 98:[71, 29], Operations: ['40-24=16', '45-16=29']
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,3,5
Current State: 98:[71, 29], Operations: ['40-24=16', '45-16=29']
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 71-45=26, Resulting Numbers: [40, 24, 26]
Generated Node #0,4: 98:[40, 24, 26] Operation: 71-45=26
Moving to Node #0,4
Current State: 98:[40, 24, 26], Operations: ['71-45=26']
Exploring Operation: 26-24=2, Resulting Numbers: [40, 2]
Generated Node #0,4,0: 98:[40, 2] Operation: 26-24=2
Moving to Node #0,4,0
Current State: 98:[40, 2], Operations: ['71-45=26', '26-24=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Moving to Node #0,4,0
Current State: 98:[40, 2], Operations: ['71-45=26', '26-24=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,4,0
Current State: 98:[40, 2], Operations: ['71-45=26', '26-24=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,4,0
Current State: 98:[40, 2], Operations: ['71-45=26', '26-24=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,98 unequal: No Solution
Moving to Node #0,4
Current State: 98:[40, 24, 26], Operations: ['71-45=26']
Exploring Operation: 40-26=14, Resulting Numbers: [24, 14]
Generated Node #0,4,1: 98:[24, 14] Operation: 40-26=14
Moving to Node #0,4,1
Current State: 98:[24, 14], Operations: ['71-45=26', '40-26=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,4,1
Current State: 98:[24, 14], Operations: ['71-45=26', '40-26=14']
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,4
Current State: 98:[40, 24, 26], Operations: ['71-45=26']
Exploring Operation: 24+26=50, Resulting Numbers: [40, 50]
Generated Node #0,4,2: 98:[40, 50] Operation: 24+26=50
Moving to Node #0,4,2
Current State: 98:[40, 50], Operations: ['71-45=26', '24+26=50']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,4,2
Current State: 98:[40, 50], Operations: ['71-45=26', '24+26=50']
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,4
Current State: 98:[40, 24, 26], Operations: ['71-45=26']
Exploring Operation: 40-24=16, Resulting Numbers: [26, 16]
Generated Node #0,4,3: 98:[26, 16] Operation: 40-24=16
Moving to Node #0,4,3
Current State: 98:[26, 16], Operations: ['71-45=26', '40-24=16']
Exploring Operation: 26-16=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,4,3
Current State: 98:[26, 16], Operations: ['71-45=26', '40-24=16']
Exploring Operation: 26+16=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,4
Current State: 98:[40, 24, 26], Operations: ['71-45=26']
Exploring Operation: 40+24=64, Resulting Numbers: [26, 64]
Generated Node #0,4,4: 98:[26, 64] Operation: 40+24=64
Moving to Node #0,4,4
Current State: 98:[26, 64], Operations: ['71-45=26', '40+24=64']
Exploring Operation: 26+64=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,4,4
Current State: 98:[26, 64], Operations: ['71-45=26', '40+24=64']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,4
Current State: 98:[40, 24, 26], Operations: ['71-45=26']
Exploring Operation: 40+26=66, Resulting Numbers: [24, 66]
Generated Node #0,4,5: 98:[24, 66] Operation: 40+26=66
Moving to Node #0,4,5
Current State: 98:[24, 66], Operations: ['71-45=26', '40+26=66']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,4,5
Current State: 98:[24, 66], Operations: ['71-45=26', '40+26=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 71-40=31, Resulting Numbers: [45, 24, 31]
Generated Node #0,5: 98:[45, 24, 31] Operation: 71-40=31
Moving to Node #0,5
Current State: 98:[45, 24, 31], Operations: ['71-40=31']
Exploring Operation: 31-24=7, Resulting Numbers: [45, 7]
Generated Node #0,5,0: 98:[45, 7] Operation: 31-24=7
Moving to Node #0,5,0
Current State: 98:[45, 7], Operations: ['71-40=31', '31-24=7']
Exploring Operation: 45+7=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,5,0
Current State: 98:[45, 7], Operations: ['71-40=31', '31-24=7']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,5
Current State: 98:[45, 24, 31], Operations: ['71-40=31']
Exploring Operation: 45-31=14, Resulting Numbers: [24, 14]
Generated Node #0,5,1: 98:[24, 14] Operation: 45-31=14
Moving to Node #0,5,1
Current State: 98:[24, 14], Operations: ['71-40=31', '45-31=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,5,1
Current State: 98:[24, 14], Operations: ['71-40=31', '45-31=14']
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,5
Current State: 98:[45, 24, 31], Operations: ['71-40=31']
Exploring Operation: 24+31=55, Resulting Numbers: [45, 55]
Generated Node #0,5,2: 98:[45, 55] Operation: 24+31=55
Moving to Node #0,5,2
Current State: 98:[45, 55], Operations: ['71-40=31', '24+31=55']
Exploring Operation: 45+55=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,5,2
Current State: 98:[45, 55], Operations: ['71-40=31', '24+31=55']
Exploring Operation: 55-45=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,5
Current State: 98:[45, 24, 31], Operations: ['71-40=31']
Exploring Operation: 45-24=21, Resulting Numbers: [31, 21]
Generated Node #0,5,3: 98:[31, 21] Operation: 45-24=21
Moving to Node #0,5,3
Current State: 98:[31, 21], Operations: ['71-40=31', '45-24=21']
Exploring Operation: 31+21=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,5,3
Current State: 98:[31, 21], Operations: ['71-40=31', '45-24=21']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,5
Current State: 98:[45, 24, 31], Operations: ['71-40=31']
Exploring Operation: 45+31=76, Resulting Numbers: [24, 76]
Generated Node #0,5,4: 98:[24, 76] Operation: 45+31=76
Moving to Node #0,5,4
Current State: 98:[24, 76], Operations: ['71-40=31', '45+31=76']
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,5,4
Current State: 98:[24, 76], Operations: ['71-40=31', '45+31=76']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,5
Current State: 98:[45, 24, 31], Operations: ['71-40=31']
Exploring Operation: 45+24=69, Resulting Numbers: [31, 69]
Generated Node #0,5,5: 98:[31, 69] Operation: 45+24=69
Moving to Node #0,5,5
Current State: 98:[31, 69], Operations: ['71-40=31', '45+24=69']
Exploring Operation: 31+69=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,5,5
Current State: 98:[31, 69], Operations: ['71-40=31', '45+24=69']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 45-40=5, Resulting Numbers: [71, 24, 5]
Generated Node #0,6: 98:[71, 24, 5] Operation: 45-40=5
Moving to Node #0,6
Current State: 98:[71, 24, 5], Operations: ['45-40=5']
Exploring Operation: 71-24=47, Resulting Numbers: [5, 47]
Generated Node #0,6,0: 98:[5, 47] Operation: 71-24=47
Moving to Node #0,6,0
Current State: 98:[5, 47], Operations: ['45-40=5', '71-24=47']
Exploring Operation: 5+47=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,6,0
Current State: 98:[5, 47], Operations: ['45-40=5', '71-24=47']
Exploring Operation: 47-5=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,6
Current State: 98:[71, 24, 5], Operations: ['45-40=5']
Exploring Operation: 71+24=95, Resulting Numbers: [5, 95]
Generated Node #0,6,1: 98:[5, 95] Operation: 71+24=95
Moving to Node #0,6,1
Current State: 98:[5, 95], Operations: ['45-40=5', '71+24=95']
Exploring Operation: 5+95=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,6,1
Current State: 98:[5, 95], Operations: ['45-40=5', '71+24=95']
Exploring Operation: 95/5=19, Resulting Numbers: [19]
19,98 unequal: No Solution
Moving to Node #0,6,1
Current State: 98:[5, 95], Operations: ['45-40=5', '71+24=95']
Exploring Operation: 95-5=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,6
Current State: 98:[71, 24, 5], Operations: ['45-40=5']
Exploring Operation: 71-5=66, Resulting Numbers: [24, 66]
Generated Node #0,6,2: 98:[24, 66] Operation: 71-5=66
Moving to Node #0,6,2
Current State: 98:[24, 66], Operations: ['45-40=5', '71-5=66']
Exploring Operation: 66-24=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,6,2
Current State: 98:[24, 66], Operations: ['45-40=5', '71-5=66']
Exploring Operation: 24+66=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,6
Current State: 98:[71, 24, 5], Operations: ['45-40=5']
Exploring Operation: 24-5=19, Resulting Numbers: [71, 19]
Generated Node #0,6,3: 98:[71, 19] Operation: 24-5=19
Moving to Node #0,6,3
Current State: 98:[71, 19], Operations: ['45-40=5', '24-5=19']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,6,3
Current State: 98:[71, 19], Operations: ['45-40=5', '24-5=19']
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,6
Current State: 98:[71, 24, 5], Operations: ['45-40=5']
Exploring Operation: 71+5=76, Resulting Numbers: [24, 76]
Generated Node #0,6,4: 98:[24, 76] Operation: 71+5=76
Moving to Node #0,6,4
Current State: 98:[24, 76], Operations: ['45-40=5', '71+5=76']
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,6,4
Current State: 98:[24, 76], Operations: ['45-40=5', '71+5=76']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,6
Current State: 98:[71, 24, 5], Operations: ['45-40=5']
Exploring Operation: 24+5=29, Resulting Numbers: [71, 29]
Generated Node #0,6,5: 98:[71, 29] Operation: 24+5=29
Moving to Node #0,6,5
Current State: 98:[71, 29], Operations: ['45-40=5', '24+5=29']
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,6,5
Current State: 98:[71, 29], Operations: ['45-40=5', '24+5=29']
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,6
Current State: 98:[71, 24, 5], Operations: ['45-40=5']
Exploring Operation: 24*5=120, Resulting Numbers: [71, 120]
Generated Node #0,6,6: 98:[71, 120] Operation: 24*5=120
Moving to Node #0,6,6
Current State: 98:[71, 120], Operations: ['45-40=5', '24*5=120']
Exploring Operation: 120-71=49, Resulting Numbers: [49]
49,98 unequal: No Solution
Moving to Node #0,6,6
Current State: 98:[71, 120], Operations: ['45-40=5', '24*5=120']
Exploring Operation: 71+120=191, Resulting Numbers: [191]
191,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 45+71=116, Resulting Numbers: [40, 24, 116]
Generated Node #0,7: 98:[40, 24, 116] Operation: 45+71=116
Moving to Node #0,7
Current State: 98:[40, 24, 116], Operations: ['45+71=116']
Exploring Operation: 116-24=92, Resulting Numbers: [40, 92]
Generated Node #0,7,0: 98:[40, 92] Operation: 116-24=92
Moving to Node #0,7,0
Current State: 98:[40, 92], Operations: ['45+71=116', '116-24=92']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,7,0
Current State: 98:[40, 92], Operations: ['45+71=116', '116-24=92']
Exploring Operation: 40+92=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,7
Current State: 98:[40, 24, 116], Operations: ['45+71=116']
Exploring Operation: 40-24=16, Resulting Numbers: [116, 16]
Generated Node #0,7,1: 98:[116, 16] Operation: 40-24=16
Moving to Node #0,7,1
Current State: 98:[116, 16], Operations: ['45+71=116', '40-24=16']
Exploring Operation: 116-16=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,7,1
Current State: 98:[116, 16], Operations: ['45+71=116', '40-24=16']
Exploring Operation: 116+16=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,7
Current State: 98:[40, 24, 116], Operations: ['45+71=116']
Exploring Operation: 116-40=76, Resulting Numbers: [24, 76]
Generated Node #0,7,2: 98:[24, 76] Operation: 116-40=76
Moving to Node #0,7,2
Current State: 98:[24, 76], Operations: ['45+71=116', '116-40=76']
Exploring Operation: 24+76=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,7,2
Current State: 98:[24, 76], Operations: ['45+71=116', '116-40=76']
Exploring Operation: 76-24=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,7
Current State: 98:[40, 24, 116], Operations: ['45+71=116']
Exploring Operation: 40+24=64, Resulting Numbers: [116, 64]
Generated Node #0,7,3: 98:[116, 64] Operation: 40+24=64
Moving to Node #0,7,3
Current State: 98:[116, 64], Operations: ['45+71=116', '40+24=64']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,7,3
Current State: 98:[116, 64], Operations: ['45+71=116', '40+24=64']
Exploring Operation: 116+64=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,7
Current State: 98:[40, 24, 116], Operations: ['45+71=116']
Exploring Operation: 24+116=140, Resulting Numbers: [40, 140]
Generated Node #0,7,4: 98:[40, 140] Operation: 24+116=140
Moving to Node #0,7,4
Current State: 98:[40, 140], Operations: ['45+71=116', '24+116=140']
Exploring Operation: 140-40=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,7,4
Current State: 98:[40, 140], Operations: ['45+71=116', '24+116=140']
Exploring Operation: 40+140=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,7
Current State: 98:[40, 24, 116], Operations: ['45+71=116']
Exploring Operation: 40+116=156, Resulting Numbers: [24, 156]
Generated Node #0,7,5: 98:[24, 156] Operation: 40+116=156
Moving to Node #0,7,5
Current State: 98:[24, 156], Operations: ['45+71=116', '40+116=156']
Exploring Operation: 156-24=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,7,5
Current State: 98:[24, 156], Operations: ['45+71=116', '40+116=156']
Exploring Operation: 24+156=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 45-24=21, Resulting Numbers: [40, 71, 21]
Generated Node #0,8: 98:[40, 71, 21] Operation: 45-24=21
Moving to Node #0,8
Current State: 98:[40, 71, 21], Operations: ['45-24=21']
Exploring Operation: 71-21=50, Resulting Numbers: [40, 50]
Generated Node #0,8,0: 98:[40, 50] Operation: 71-21=50
Moving to Node #0,8,0
Current State: 98:[40, 50], Operations: ['45-24=21', '71-21=50']
Exploring Operation: 50-40=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,8,0
Current State: 98:[40, 50], Operations: ['45-24=21', '71-21=50']
Exploring Operation: 40+50=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,8
Current State: 98:[40, 71, 21], Operations: ['45-24=21']
Exploring Operation: 71+21=92, Resulting Numbers: [40, 92]
Generated Node #0,8,1: 98:[40, 92] Operation: 71+21=92
Moving to Node #0,8,1
Current State: 98:[40, 92], Operations: ['45-24=21', '71+21=92']
Exploring Operation: 92-40=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,8,1
Current State: 98:[40, 92], Operations: ['45-24=21', '71+21=92']
Exploring Operation: 40+92=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,8
Current State: 98:[40, 71, 21], Operations: ['45-24=21']
Exploring Operation: 40+71=111, Resulting Numbers: [21, 111]
Generated Node #0,8,2: 98:[21, 111] Operation: 40+71=111
Moving to Node #0,8,2
Current State: 98:[21, 111], Operations: ['45-24=21', '40+71=111']
Exploring Operation: 111-21=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,8,2
Current State: 98:[21, 111], Operations: ['45-24=21', '40+71=111']
Exploring Operation: 21+111=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,8
Current State: 98:[40, 71, 21], Operations: ['45-24=21']
Exploring Operation: 71-40=31, Resulting Numbers: [21, 31]
Generated Node #0,8,3: 98:[21, 31] Operation: 71-40=31
Moving to Node #0,8,3
Current State: 98:[21, 31], Operations: ['45-24=21', '71-40=31']
Exploring Operation: 21+31=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,8,3
Current State: 98:[21, 31], Operations: ['45-24=21', '71-40=31']
Exploring Operation: 31-21=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,8
Current State: 98:[40, 71, 21], Operations: ['45-24=21']
Exploring Operation: 40-21=19, Resulting Numbers: [71, 19]
Generated Node #0,8,4: 98:[71, 19] Operation: 40-21=19
Moving to Node #0,8,4
Current State: 98:[71, 19], Operations: ['45-24=21', '40-21=19']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,8,4
Current State: 98:[71, 19], Operations: ['45-24=21', '40-21=19']
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,8
Current State: 98:[40, 71, 21], Operations: ['45-24=21']
Exploring Operation: 40+21=61, Resulting Numbers: [71, 61]
Generated Node #0,8,5: 98:[71, 61] Operation: 40+21=61
Moving to Node #0,8,5
Current State: 98:[71, 61], Operations: ['45-24=21', '40+21=61']
Exploring Operation: 71-61=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,8,5
Current State: 98:[71, 61], Operations: ['45-24=21', '40+21=61']
Exploring Operation: 71+61=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 40+24=64, Resulting Numbers: [45, 71, 64]
Generated Node #0,9: 98:[45, 71, 64] Operation: 40+24=64
Moving to Node #0,9
Current State: 98:[45, 71, 64], Operations: ['40+24=64']
Exploring Operation: 71-64=7, Resulting Numbers: [45, 7]
Generated Node #0,9,0: 98:[45, 7] Operation: 71-64=7
Moving to Node #0,9,0
Current State: 98:[45, 7], Operations: ['40+24=64', '71-64=7']
Exploring Operation: 45+7=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,9,0
Current State: 98:[45, 7], Operations: ['40+24=64', '71-64=7']
Exploring Operation: 45-7=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,9
Current State: 98:[45, 71, 64], Operations: ['40+24=64']
Exploring Operation: 71-45=26, Resulting Numbers: [64, 26]
Generated Node #0,9,1: 98:[64, 26] Operation: 71-45=26
Moving to Node #0,9,1
Current State: 98:[64, 26], Operations: ['40+24=64', '71-45=26']
Exploring Operation: 64+26=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,9,1
Current State: 98:[64, 26], Operations: ['40+24=64', '71-45=26']
Exploring Operation: 64-26=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,9
Current State: 98:[45, 71, 64], Operations: ['40+24=64']
Exploring Operation: 64-45=19, Resulting Numbers: [71, 19]
Generated Node #0,9,2: 98:[71, 19] Operation: 64-45=19
Moving to Node #0,9,2
Current State: 98:[71, 19], Operations: ['40+24=64', '64-45=19']
Exploring Operation: 71-19=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,9,2
Current State: 98:[71, 19], Operations: ['40+24=64', '64-45=19']
Exploring Operation: 71+19=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,9
Current State: 98:[45, 71, 64], Operations: ['40+24=64']
Exploring Operation: 45+71=116, Resulting Numbers: [64, 116]
Generated Node #0,9,3: 98:[64, 116] Operation: 45+71=116
Moving to Node #0,9,3
Current State: 98:[64, 116], Operations: ['40+24=64', '45+71=116']
Exploring Operation: 116-64=52, Resulting Numbers: [52]
52,98 unequal: No Solution
Moving to Node #0,9,3
Current State: 98:[64, 116], Operations: ['40+24=64', '45+71=116']
Exploring Operation: 64+116=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,9
Current State: 98:[45, 71, 64], Operations: ['40+24=64']
Exploring Operation: 45+64=109, Resulting Numbers: [71, 109]
Generated Node #0,9,4: 98:[71, 109] Operation: 45+64=109
Moving to Node #0,9,4
Current State: 98:[71, 109], Operations: ['40+24=64', '45+64=109']
Exploring Operation: 109-71=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,9,4
Current State: 98:[71, 109], Operations: ['40+24=64', '45+64=109']
Exploring Operation: 71+109=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,9
Current State: 98:[45, 71, 64], Operations: ['40+24=64']
Exploring Operation: 71+64=135, Resulting Numbers: [45, 135]
Generated Node #0,9,5: 98:[45, 135] Operation: 71+64=135
Moving to Node #0,9,5
Current State: 98:[45, 135], Operations: ['40+24=64', '71+64=135']
Exploring Operation: 135/45=3, Resulting Numbers: [3]
3,98 unequal: No Solution
Moving to Node #0,9,5
Current State: 98:[45, 135], Operations: ['40+24=64', '71+64=135']
Exploring Operation: 135-45=90, Resulting Numbers: [90]
90,98 unequal: No Solution
Moving to Node #0,9,5
Current State: 98:[45, 135], Operations: ['40+24=64', '71+64=135']
Exploring Operation: 45+135=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 45+40=85, Resulting Numbers: [71, 24, 85]
Generated Node #0,10: 98:[71, 24, 85] Operation: 45+40=85
Moving to Node #0,10
Current State: 98:[71, 24, 85], Operations: ['45+40=85']
Exploring Operation: 85-71=14, Resulting Numbers: [24, 14]
Generated Node #0,10,0: 98:[24, 14] Operation: 85-71=14
Moving to Node #0,10,0
Current State: 98:[24, 14], Operations: ['45+40=85', '85-71=14']
Exploring Operation: 24-14=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,10,0
Current State: 98:[24, 14], Operations: ['45+40=85', '85-71=14']
Exploring Operation: 24+14=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,10
Current State: 98:[71, 24, 85], Operations: ['45+40=85']
Exploring Operation: 71-24=47, Resulting Numbers: [85, 47]
Generated Node #0,10,1: 98:[85, 47] Operation: 71-24=47
Moving to Node #0,10,1
Current State: 98:[85, 47], Operations: ['45+40=85', '71-24=47']
Exploring Operation: 85-47=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,10,1
Current State: 98:[85, 47], Operations: ['45+40=85', '71-24=47']
Exploring Operation: 85+47=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,10
Current State: 98:[71, 24, 85], Operations: ['45+40=85']
Exploring Operation: 71+24=95, Resulting Numbers: [85, 95]
Generated Node #0,10,2: 98:[85, 95] Operation: 71+24=95
Moving to Node #0,10,2
Current State: 98:[85, 95], Operations: ['45+40=85', '71+24=95']
Exploring Operation: 95-85=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,10,2
Current State: 98:[85, 95], Operations: ['45+40=85', '71+24=95']
Exploring Operation: 85+95=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,10
Current State: 98:[71, 24, 85], Operations: ['45+40=85']
Exploring Operation: 24+85=109, Resulting Numbers: [71, 109]
Generated Node #0,10,3: 98:[71, 109] Operation: 24+85=109
Moving to Node #0,10,3
Current State: 98:[71, 109], Operations: ['45+40=85', '24+85=109']
Exploring Operation: 109-71=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,10,3
Current State: 98:[71, 109], Operations: ['45+40=85', '24+85=109']
Exploring Operation: 71+109=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,10
Current State: 98:[71, 24, 85], Operations: ['45+40=85']
Exploring Operation: 85-24=61, Resulting Numbers: [71, 61]
Generated Node #0,10,4: 98:[71, 61] Operation: 85-24=61
Moving to Node #0,10,4
Current State: 98:[71, 61], Operations: ['45+40=85', '85-24=61']
Exploring Operation: 71-61=10, Resulting Numbers: [10]
10,98 unequal: No Solution
Moving to Node #0,10,4
Current State: 98:[71, 61], Operations: ['45+40=85', '85-24=61']
Exploring Operation: 71+61=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,10
Current State: 98:[71, 24, 85], Operations: ['45+40=85']
Exploring Operation: 71+85=156, Resulting Numbers: [24, 156]
Generated Node #0,10,5: 98:[24, 156] Operation: 71+85=156
Moving to Node #0,10,5
Current State: 98:[24, 156], Operations: ['45+40=85', '71+85=156']
Exploring Operation: 156-24=132, Resulting Numbers: [132]
132,98 unequal: No Solution
Moving to Node #0,10,5
Current State: 98:[24, 156], Operations: ['45+40=85', '71+85=156']
Exploring Operation: 24+156=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0
Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 45+24=69, Resulting Numbers: [40, 71, 69]
Generated Node #0,11: 98:[40, 71, 69] Operation: 45+24=69
Moving to Node #0,11
Current State: 98:[40, 71, 69], Operations: ['45+24=69']
Exploring Operation: 71-69=2, Resulting Numbers: [40, 2]
Generated Node #0,11,0: 98:[40, 2] Operation: 71-69=2
Moving to Node #0,11,0
Current State: 98:[40, 2], Operations: ['45+24=69', '71-69=2']
Exploring Operation: 40/2=20, Resulting Numbers: [20]
20,98 unequal: No Solution
Moving to Node #0,11,0
Current State: 98:[40, 2], Operations: ['45+24=69', '71-69=2']
Exploring Operation: 40+2=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,11,0
Current State: 98:[40, 2], Operations: ['45+24=69', '71-69=2']
Exploring Operation: 40-2=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,11,0
Current State: 98:[40, 2], Operations: ['45+24=69', '71-69=2']
Exploring Operation: 40*2=80, Resulting Numbers: [80]
80,98 unequal: No Solution
Moving to Node #0,11
Current State: 98:[40, 71, 69], Operations: ['45+24=69']
Exploring Operation: 40+71=111, Resulting Numbers: [69, 111]
Generated Node #0,11,1: 98:[69, 111] Operation: 40+71=111
Moving to Node #0,11,1
Current State: 98:[69, 111], Operations: ['45+24=69', '40+71=111']
Exploring Operation: 111-69=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,11,1
Current State: 98:[69, 111], Operations: ['45+24=69', '40+71=111']
Exploring Operation: 69+111=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,11
Current State: 98:[40, 71, 69], Operations: ['45+24=69']
Exploring Operation: 40+69=109, Resulting Numbers: [71, 109]
Generated Node #0,11,2: 98:[71, 109] Operation: 40+69=109
Moving to Node #0,11,2
Current State: 98:[71, 109], Operations: ['45+24=69', '40+69=109']
Exploring Operation: 109-71=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,11,2
Current State: 98:[71, 109], Operations: ['45+24=69', '40+69=109']
Exploring Operation: 71+109=180, Resulting Numbers: [180]
180,98 unequal: No Solution
Moving to Node #0,11
Current State: 98:[40, 71, 69], Operations: ['45+24=69']
Exploring Operation: 71-40=31, Resulting Numbers: [69, 31]
Generated Node #0,11,3: 98:[69, 31] Operation: 71-40=31
Moving to Node #0,11,3
Current State: 98:[69, 31], Operations: ['45+24=69', '71-40=31']
Exploring Operation: 69+31=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,11,3
Current State: 98:[69, 31], Operations: ['45+24=69', '71-40=31']
Exploring Operation: 69-31=38, Resulting Numbers: [38]
38,98 unequal: No Solution
Moving to Node #0,11
Current State: 98:[40, 71, 69], Operations: ['45+24=69']
Exploring Operation: 69-40=29, Resulting Numbers: [71, 29]
Generated Node #0,11,4: 98:[71, 29] Operation: 69-40=29
Moving to Node #0,11,4
Current State: 98:[71, 29], Operations: ['45+24=69', '69-40=29']
Exploring Operation: 71+29=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,11,4
Current State: 98:[71, 29], Operations: ['45+24=69', '69-40=29']
Exploring Operation: 71-29=42, Resulting Numbers: [42]
42,98 unequal: No Solution
Moving to Node #0,11
Current State: 98:[40, 71, 69], Operations: ['45+24=69']
Exploring Operation: 71+69=140, Resulting Numbers: [40, 140]
Generated Node #0,11,5: 98:[40, 140] Operation: 71+69=140
Moving to Node #0,11,5
Current State: 98:[40, 140], Operations: ['45+24=69', '71+69=140']
Exploring Operation: 140-40=100, Resulting Numbers: [100]
100,98 unequal: No Solution
Moving to Node #0,11,5
Current State: 98:[40, 140], Operations: ['45+24=69', '71+69=140']
Exploring Operation: 40+140=180, Resulting Numbers: [180]
180,98 unequal: No Solution
| 0 | dfs | Current State: 98:[45, 40, 71, 24], Operations: []
Exploring Operation: 45*24=1080, Resulting Numbers: [40, 71, 1080]
Generated Node #2: [40, 71, 1080] from Operation: 45*24=1080
Current State: 98:[40, 71, 1080], Operations: ['45*24=1080']
Exploring Operation: 1080/40=27, Resulting Numbers: [71, 27]
Generated Node #3: [71, 27] from Operation: 1080/40=27
Current State: 98:[71, 27], Operations: ['45*24=1080', '1080/40=27']
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| mult_heuristic |
[
92,
20,
33,
3
] | 67 | [
"20+33=53",
"3*53=159",
"159-92=67"
] | Current State: 67:[92, 20, 33, 3], Operations: []
Exploring Operation: 20+33=53, Resulting Numbers: [92, 3, 53]
Generated Node #0,0: 67:[92, 3, 53] Operation: 20+33=53
Exploring Operation: 20*3=60, Resulting Numbers: [92, 33, 60]
Generated Node #0,1: 67:[92, 33, 60] Operation: 20*3=60
Exploring Operation: 92-20=72, Resulting Numbers: [33, 3, 72]
Generated Node #0,2: 67:[33, 3, 72] Operation: 92-20=72
Exploring Operation: 92-3=89, Resulting Numbers: [20, 33, 89]
Generated Node #0,3: 67:[20, 33, 89] Operation: 92-3=89
Moving to Node #0,1
Current State: 67:[92, 33, 60], Operations: ['20*3=60']
Exploring Operation: 60-33=27, Resulting Numbers: [92, 27]
Generated Node #0,1,0: 67:[92, 27] Operation: 60-33=27
Exploring Operation: 33+60=93, Resulting Numbers: [92, 93]
Generated Node #0,1,1: 67:[92, 93] Operation: 33+60=93
Exploring Operation: 92-33=59, Resulting Numbers: [60, 59]
Generated Node #0,1,2: 67:[60, 59] Operation: 92-33=59
Exploring Operation: 92+33=125, Resulting Numbers: [60, 125]
Generated Node #0,1,3: 67:[60, 125] Operation: 92+33=125
Moving to Node #0,2
Current State: 67:[33, 3, 72], Operations: ['92-20=72']
Exploring Operation: 33*3=99, Resulting Numbers: [72, 99]
Generated Node #0,2,0: 67:[72, 99] Operation: 33*3=99
Exploring Operation: 72-3=69, Resulting Numbers: [33, 69]
Generated Node #0,2,1: 67:[33, 69] Operation: 72-3=69
Exploring Operation: 33+3=36, Resulting Numbers: [72, 36]
Generated Node #0,2,2: 67:[72, 36] Operation: 33+3=36
Exploring Operation: 33-3=30, Resulting Numbers: [72, 30]
Generated Node #0,2,3: 67:[72, 30] Operation: 33-3=30
Moving to Node #0,0
Current State: 67:[92, 3, 53], Operations: ['20+33=53']
Exploring Operation: 53-3=50, Resulting Numbers: [92, 50]
Generated Node #0,0,0: 67:[92, 50] Operation: 53-3=50
Exploring Operation: 92+3=95, Resulting Numbers: [53, 95]
Generated Node #0,0,1: 67:[53, 95] Operation: 92+3=95
Exploring Operation: 92-3=89, Resulting Numbers: [53, 89]
Generated Node #0,0,2: 67:[53, 89] Operation: 92-3=89
Exploring Operation: 3+53=56, Resulting Numbers: [92, 56]
Generated Node #0,0,3: 67:[92, 56] Operation: 3+53=56
Moving to Node #0,3
Current State: 67:[20, 33, 89], Operations: ['92-3=89']
Exploring Operation: 33-20=13, Resulting Numbers: [89, 13]
Generated Node #0,3,0: 67:[89, 13] Operation: 33-20=13
Exploring Operation: 20+33=53, Resulting Numbers: [89, 53]
Generated Node #0,3,1: 67:[89, 53] Operation: 20+33=53
Exploring Operation: 89-20=69, Resulting Numbers: [33, 69]
Generated Node #0,3,2: 67:[33, 69] Operation: 89-20=69
Exploring Operation: 89-33=56, Resulting Numbers: [20, 56]
Generated Node #0,3,3: 67:[20, 56] Operation: 89-33=56
Moving to Node #0,1,2
Current State: 67:[60, 59], Operations: ['20*3=60', '92-33=59']
Exploring Operation: 60*59=3540, Resulting Numbers: [3540]
3540,67 unequal: No Solution
Exploring Operation: 60-59=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 60+59=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Moving to Node #0,2,2
Current State: 67:[72, 36], Operations: ['92-20=72', '33+3=36']
Exploring Operation: 72/36=2, Resulting Numbers: [2]
2,67 unequal: No Solution
Exploring Operation: 72-36=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 72+36=108, Resulting Numbers: [108]
108,67 unequal: No Solution
Exploring Operation: 72*36=2592, Resulting Numbers: [2592]
2592,67 unequal: No Solution
Moving to Node #0,3,2
Current State: 67:[33, 69], Operations: ['92-3=89', '89-20=69']
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 33*69=2277, Resulting Numbers: [2277]
2277,67 unequal: No Solution
Exploring Operation: 33+69=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Moving to Node #0,3,1
Current State: 67:[89, 53], Operations: ['92-3=89', '20+33=53']
Exploring Operation: 89+53=142, Resulting Numbers: [142]
142,67 unequal: No Solution
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 89*53=4717, Resulting Numbers: [4717]
4717,67 unequal: No Solution
Moving to Node #0,2,1
Current State: 67:[33, 69], Operations: ['92-20=72', '72-3=69']
Exploring Operation: 33+69=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 69-33=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 33*69=2277, Resulting Numbers: [2277]
2277,67 unequal: No Solution
Moving to Node #0,0,3
Current State: 67:[92, 56], Operations: ['20+33=53', '3+53=56']
Exploring Operation: 92-56=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 92+56=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Exploring Operation: 92*56=5152, Resulting Numbers: [5152]
5152,67 unequal: No Solution
Moving to Node #0,0,2
Current State: 67:[53, 89], Operations: ['20+33=53', '92-3=89']
Exploring Operation: 53*89=4717, Resulting Numbers: [4717]
4717,67 unequal: No Solution
Exploring Operation: 53+89=142, Resulting Numbers: [142]
142,67 unequal: No Solution
Exploring Operation: 89-53=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Moving to Node #0,2,0
Current State: 67:[72, 99], Operations: ['92-20=72', '33*3=99']
Exploring Operation: 72+99=171, Resulting Numbers: [171]
171,67 unequal: No Solution
Exploring Operation: 72*99=7128, Resulting Numbers: [7128]
7128,67 unequal: No Solution
Exploring Operation: 99-72=27, Resulting Numbers: [27]
27,67 unequal: No Solution
Moving to Node #0,0,1
Current State: 67:[53, 95], Operations: ['20+33=53', '92+3=95']
Exploring Operation: 53*95=5035, Resulting Numbers: [5035]
5035,67 unequal: No Solution
Exploring Operation: 95-53=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 53+95=148, Resulting Numbers: [148]
148,67 unequal: No Solution
Moving to Node #0,0,0
Current State: 67:[92, 50], Operations: ['20+33=53', '53-3=50']
Exploring Operation: 92*50=4600, Resulting Numbers: [4600]
4600,67 unequal: No Solution
Exploring Operation: 92-50=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Exploring Operation: 92+50=142, Resulting Numbers: [142]
142,67 unequal: No Solution
Moving to Node #0,2,3
Current State: 67:[72, 30], Operations: ['92-20=72', '33-3=30']
Exploring Operation: 72+30=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 72*30=2160, Resulting Numbers: [2160]
2160,67 unequal: No Solution
Exploring Operation: 72-30=42, Resulting Numbers: [42]
42,67 unequal: No Solution
Moving to Node #0,1,1
Current State: 67:[92, 93], Operations: ['20*3=60', '33+60=93']
Exploring Operation: 93-92=1, Resulting Numbers: [1]
1,67 unequal: No Solution
Exploring Operation: 92+93=185, Resulting Numbers: [185]
185,67 unequal: No Solution
Exploring Operation: 92*93=8556, Resulting Numbers: [8556]
8556,67 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 67:[42], Operations: ['20+33=53', '92+3=95', '95-53=42']
Moving to Node #0,0,0,0
Current State: 67:[42], Operations: ['20+33=53', '53-3=50', '92-50=42']
Moving to Node #0,2,3,0
Current State: 67:[42], Operations: ['92-20=72', '33-3=30', '72-30=42']
Moving to Node #0,3,3
Current State: 67:[20, 56], Operations: ['92-3=89', '89-33=56']
Exploring Operation: 56-20=36, Resulting Numbers: [36]
36,67 unequal: No Solution
Exploring Operation: 20+56=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Exploring Operation: 20*56=1120, Resulting Numbers: [1120]
1120,67 unequal: No Solution
Moving to Node #0,3,3,0
Current State: 67:[76], Operations: ['92-3=89', '89-33=56', '20+56=76']
Moving to Node #0,0,2,0
Current State: 67:[36], Operations: ['20+33=53', '92-3=89', '89-53=36']
Moving to Node #0,0,3,0
Current State: 67:[36], Operations: ['20+33=53', '3+53=56', '92-56=36']
Moving to Node #0,3,1,0
Current State: 67:[36], Operations: ['92-3=89', '20+33=53', '89-53=36']
Moving to Node #0,3,2,0
Current State: 67:[36], Operations: ['92-3=89', '89-20=69', '69-33=36']
Moving to Node #0,2,1,0
Current State: 67:[36], Operations: ['92-20=72', '72-3=69', '69-33=36']
Moving to Node #0,3,3,0
Current State: 67:[36], Operations: ['92-3=89', '89-33=56', '56-20=36']
Moving to Node #0,2,2,0
Current State: 67:[36], Operations: ['92-20=72', '33+3=36', '72-36=36']
Moving to Node #0,1,0
Current State: 67:[92, 27], Operations: ['20*3=60', '60-33=27']
Exploring Operation: 92+27=119, Resulting Numbers: [119]
119,67 unequal: No Solution
Exploring Operation: 92*27=2484, Resulting Numbers: [2484]
2484,67 unequal: No Solution
Exploring Operation: 92-27=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Moving to Node #0,1,3
Current State: 67:[60, 125], Operations: ['20*3=60', '92+33=125']
Exploring Operation: 60*125=7500, Resulting Numbers: [7500]
7500,67 unequal: No Solution
Exploring Operation: 60+125=185, Resulting Numbers: [185]
185,67 unequal: No Solution
Exploring Operation: 125-60=65, Resulting Numbers: [65]
65,67 unequal: No Solution
Moving to Node #0,2,3,0
Current State: 67:[102], Operations: ['92-20=72', '33-3=30', '72+30=102']
Moving to Node #0,2,1,0
Current State: 67:[102], Operations: ['92-20=72', '72-3=69', '33+69=102']
Moving to Node #0,1,0,0
Current State: 67:[65], Operations: ['20*3=60', '60-33=27', '92-27=65']
Moving to Node #0,1,3,0
Current State: 67:[65], Operations: ['20*3=60', '92+33=125', '125-60=65']
Moving to Node #0,3,2,0
Current State: 67:[102], Operations: ['92-3=89', '89-20=69', '33+69=102']
Moving to Node #0,3,0
Current State: 67:[89, 13], Operations: ['92-3=89', '33-20=13']
Exploring Operation: 89*13=1157, Resulting Numbers: [1157]
1157,67 unequal: No Solution
Exploring Operation: 89+13=102, Resulting Numbers: [102]
102,67 unequal: No Solution
Exploring Operation: 89-13=76, Resulting Numbers: [76]
76,67 unequal: No Solution
Moving to Node #0,3,0,0
Current State: 67:[76], Operations: ['92-3=89', '33-20=13', '89-13=76']
Moving to Node #0,3,0,0
Current State: 67:[102], Operations: ['92-3=89', '33-20=13', '89+13=102']
Moving to Node #0,2,0,0
Current State: 67:[27], Operations: ['92-20=72', '33*3=99', '99-72=27']
Moving to Node #0,2,2,0
Current State: 67:[108], Operations: ['92-20=72', '33+3=36', '72+36=108']
Moving to Node #0,1,0,0
Current State: 67:[119], Operations: ['20*3=60', '60-33=27', '92+27=119']
Moving to Node #0,1,2,0
Current State: 67:[119], Operations: ['20*3=60', '92-33=59', '60+59=119']
Moving to Node #0,2,2,0
Current State: 67:[2], Operations: ['92-20=72', '33+3=36', '72/36=2']
Moving to Node #0,1,2,0
Current State: 67:[1], Operations: ['20*3=60', '92-33=59', '60-59=1']
Moving to Node #0,1,1,0
Current State: 67:[1], Operations: ['20*3=60', '33+60=93', '93-92=1']
Moving to Node #0,3,1,0
Current State: 67:[142], Operations: ['92-3=89', '20+33=53', '89+53=142']
Moving to Node #0,0,2,0
Current State: 67:[142], Operations: ['20+33=53', '92-3=89', '53+89=142']
Moving to Node #0,0,0,0
Current State: 67:[142], Operations: ['20+33=53', '53-3=50', '92+50=142']
Moving to Node #0,0,1,0
Current State: 67:[148], Operations: ['20+33=53', '92+3=95', '53+95=148']
Moving to Node #0,0,3,0
Current State: 67:[148], Operations: ['20+33=53', '3+53=56', '92+56=148']
Moving to Node #0,2,0,0
Current State: 67:[171], Operations: ['92-20=72', '33*3=99', '72+99=171']
Moving to Node #0,1,3,0
Current State: 67:[185], Operations: ['20*3=60', '92+33=125', '60+125=185']
Moving to Node #0,1,1,0
Current State: 67:[185], Operations: ['20*3=60', '33+60=93', '92+93=185']
Moving to Node #0,3,3,0
Current State: 67:[1120], Operations: ['92-3=89', '89-33=56', '20*56=1120']
Moving to Node #0,3,0,0
Current State: 67:[1157], Operations: ['92-3=89', '33-20=13', '89*13=1157']
Moving to Node #0,2,3,0
Current State: 67:[2160], Operations: ['92-20=72', '33-3=30', '72*30=2160']
Moving to Node #0,3,2,0
Current State: 67:[2277], Operations: ['92-3=89', '89-20=69', '33*69=2277']
Moving to Node #0,2,1,0
Current State: 67:[2277], Operations: ['92-20=72', '72-3=69', '33*69=2277']
Moving to Node #0,1,0,0
Current State: 67:[2484], Operations: ['20*3=60', '60-33=27', '92*27=2484']
Moving to Node #0,2,2,0
Current State: 67:[2592], Operations: ['92-20=72', '33+3=36', '72*36=2592']
Moving to Node #0,1,2,0
Current State: 67:[3540], Operations: ['20*3=60', '92-33=59', '60*59=3540']
Moving to Node #0,0,0,0
Current State: 67:[4600], Operations: ['20+33=53', '53-3=50', '92*50=4600']
Moving to Node #0,3,1,0
Current State: 67:[4717], Operations: ['92-3=89', '20+33=53', '89*53=4717']
Moving to Node #0,0,2,0
Current State: 67:[4717], Operations: ['20+33=53', '92-3=89', '53*89=4717']
Moving to Node #0,0,1,0
Current State: 67:[5035], Operations: ['20+33=53', '92+3=95', '53*95=5035']
Moving to Node #0,0,3,0
Current State: 67:[5152], Operations: ['20+33=53', '3+53=56', '92*56=5152']
Moving to Node #0,2,0,0
Current State: 67:[7128], Operations: ['92-20=72', '33*3=99', '72*99=7128']
Moving to Node #0,1,3,0
Current State: 67:[7500], Operations: ['20*3=60', '92+33=125', '60*125=7500']
Moving to Node #0,1,1,0
Current State: 67:[8556], Operations: ['20*3=60', '33+60=93', '92*93=8556']
No solution found. | 0 | bfs_4 | Current State: 67:[92, 20, 33, 3], Operations: []
Exploring Operation: 20+33=53, Resulting Numbers: [92, 3, 53]
Generated Node #2: [92, 3, 53] from Operation: 20+33=53
Current State: 67:[92, 3, 53], Operations: ['20+33=53']
Exploring Operation: 3*53=159, Resulting Numbers: [92, 159]
Generated Node #3: [92, 159] from Operation: 3*53=159
Current State: 67:[92, 159], Operations: ['20+33=53', '3*53=159']
Exploring Operation: 159-92=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| sum_heuristic |
[
93,
49,
87,
59
] | 60 | [
"93-87=6",
"59-49=10",
"6*10=60"
] | Current State: 60:[93, 49, 87, 59], Operations: []
Exploring Operation: 93-59=34, Resulting Numbers: [49, 87, 34]
Generated Node #0,0: 60:[49, 87, 34] Operation: 93-59=34
Exploring Operation: 87-49=38, Resulting Numbers: [93, 59, 38]
Generated Node #0,1: 60:[93, 59, 38] Operation: 87-49=38
Exploring Operation: 93-49=44, Resulting Numbers: [87, 59, 44]
Generated Node #0,2: 60:[87, 59, 44] Operation: 93-49=44
Moving to Node #0,2
Current State: 60:[87, 59, 44], Operations: ['93-49=44']
Exploring Operation: 59+44=103, Resulting Numbers: [87, 103]
Generated Node #0,2,0: 60:[87, 103] Operation: 59+44=103
Exploring Operation: 87-44=43, Resulting Numbers: [59, 43]
Generated Node #0,2,1: 60:[59, 43] Operation: 87-44=43
Exploring Operation: 87-59=28, Resulting Numbers: [44, 28]
Generated Node #0,2,2: 60:[44, 28] Operation: 87-59=28
Moving to Node #0,1
Current State: 60:[93, 59, 38], Operations: ['87-49=38']
Exploring Operation: 93-38=55, Resulting Numbers: [59, 55]
Generated Node #0,1,0: 60:[59, 55] Operation: 93-38=55
Exploring Operation: 93-59=34, Resulting Numbers: [38, 34]
Generated Node #0,1,1: 60:[38, 34] Operation: 93-59=34
Exploring Operation: 59+38=97, Resulting Numbers: [93, 97]
Generated Node #0,1,2: 60:[93, 97] Operation: 59+38=97
Moving to Node #0,0
Current State: 60:[49, 87, 34], Operations: ['93-59=34']
Exploring Operation: 87-34=53, Resulting Numbers: [49, 53]
Generated Node #0,0,0: 60:[49, 53] Operation: 87-34=53
Exploring Operation: 49+34=83, Resulting Numbers: [87, 83]
Generated Node #0,0,1: 60:[87, 83] Operation: 49+34=83
Exploring Operation: 87-49=38, Resulting Numbers: [34, 38]
Generated Node #0,0,2: 60:[34, 38] Operation: 87-49=38
Moving to Node #0,1,0
Current State: 60:[59, 55], Operations: ['87-49=38', '93-38=55']
Exploring Operation: 59-55=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 59+55=114, Resulting Numbers: [114]
114,60 unequal: No Solution
Exploring Operation: 59*55=3245, Resulting Numbers: [3245]
3245,60 unequal: No Solution
Moving to Node #0,0,0
Current State: 60:[49, 53], Operations: ['93-59=34', '87-34=53']
Exploring Operation: 49+53=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Exploring Operation: 49*53=2597, Resulting Numbers: [2597]
2597,60 unequal: No Solution
Exploring Operation: 53-49=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Moving to Node #0,2,1
Current State: 60:[59, 43], Operations: ['93-49=44', '87-44=43']
Exploring Operation: 59+43=102, Resulting Numbers: [102]
102,60 unequal: No Solution
Exploring Operation: 59*43=2537, Resulting Numbers: [2537]
2537,60 unequal: No Solution
Exploring Operation: 59-43=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,1,1
Current State: 60:[38, 34], Operations: ['87-49=38', '93-59=34']
Exploring Operation: 38+34=72, Resulting Numbers: [72]
72,60 unequal: No Solution
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 38*34=1292, Resulting Numbers: [1292]
1292,60 unequal: No Solution
Moving to Node #0,0,2
Current State: 60:[34, 38], Operations: ['93-59=34', '87-49=38']
Exploring Operation: 38-34=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 34+38=72, Resulting Numbers: [72]
72,60 unequal: No Solution
Exploring Operation: 34*38=1292, Resulting Numbers: [1292]
1292,60 unequal: No Solution
Moving to Node #0,2,2
Current State: 60:[44, 28], Operations: ['93-49=44', '87-59=28']
Exploring Operation: 44+28=72, Resulting Numbers: [72]
72,60 unequal: No Solution
Exploring Operation: 44-28=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Exploring Operation: 44*28=1232, Resulting Numbers: [1232]
1232,60 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 60:[72], Operations: ['87-49=38', '93-59=34', '38+34=72']
Moving to Node #0,0,2,0
Current State: 60:[72], Operations: ['93-59=34', '87-49=38', '34+38=72']
Moving to Node #0,2,2,0
Current State: 60:[72], Operations: ['93-49=44', '87-59=28', '44+28=72']
Moving to Node #0,0,1
Current State: 60:[87, 83], Operations: ['93-59=34', '49+34=83']
Exploring Operation: 87+83=170, Resulting Numbers: [170]
170,60 unequal: No Solution
Exploring Operation: 87*83=7221, Resulting Numbers: [7221]
7221,60 unequal: No Solution
Exploring Operation: 87-83=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Moving to Node #0,1,2
Current State: 60:[93, 97], Operations: ['87-49=38', '59+38=97']
Exploring Operation: 93*97=9021, Resulting Numbers: [9021]
9021,60 unequal: No Solution
Exploring Operation: 97-93=4, Resulting Numbers: [4]
4,60 unequal: No Solution
Exploring Operation: 93+97=190, Resulting Numbers: [190]
190,60 unequal: No Solution
Moving to Node #0,2,0
Current State: 60:[87, 103], Operations: ['93-49=44', '59+44=103']
Exploring Operation: 87+103=190, Resulting Numbers: [190]
190,60 unequal: No Solution
Exploring Operation: 87*103=8961, Resulting Numbers: [8961]
8961,60 unequal: No Solution
Exploring Operation: 103-87=16, Resulting Numbers: [16]
16,60 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 60:[102], Operations: ['93-49=44', '87-44=43', '59+43=102']
Moving to Node #0,0,0,0
Current State: 60:[102], Operations: ['93-59=34', '87-34=53', '49+53=102']
Moving to Node #0,2,1,0
Current State: 60:[16], Operations: ['93-49=44', '87-44=43', '59-43=16']
Moving to Node #0,2,2,0
Current State: 60:[16], Operations: ['93-49=44', '87-59=28', '44-28=16']
Moving to Node #0,2,0,0
Current State: 60:[16], Operations: ['93-49=44', '59+44=103', '103-87=16']
Moving to Node #0,1,0,0
Current State: 60:[114], Operations: ['87-49=38', '93-38=55', '59+55=114']
Moving to Node #0,1,1,0
Current State: 60:[4], Operations: ['87-49=38', '93-59=34', '38-34=4']
Moving to Node #0,0,0,0
Current State: 60:[4], Operations: ['93-59=34', '87-34=53', '53-49=4']
Moving to Node #0,0,2,0
Current State: 60:[4], Operations: ['93-59=34', '87-49=38', '38-34=4']
Moving to Node #0,1,2,0
Current State: 60:[4], Operations: ['87-49=38', '59+38=97', '97-93=4']
Moving to Node #0,1,0,0
Current State: 60:[4], Operations: ['87-49=38', '93-38=55', '59-55=4']
Moving to Node #0,0,1,0
Current State: 60:[4], Operations: ['93-59=34', '49+34=83', '87-83=4']
Moving to Node #0,0,1,0
Current State: 60:[170], Operations: ['93-59=34', '49+34=83', '87+83=170']
Moving to Node #0,2,0,0
Current State: 60:[190], Operations: ['93-49=44', '59+44=103', '87+103=190']
Moving to Node #0,1,2,0
Current State: 60:[190], Operations: ['87-49=38', '59+38=97', '93+97=190']
Moving to Node #0,2,2,0
Current State: 60:[1232], Operations: ['93-49=44', '87-59=28', '44*28=1232']
Moving to Node #0,1,1,0
Current State: 60:[1292], Operations: ['87-49=38', '93-59=34', '38*34=1292']
Moving to Node #0,0,2,0
Current State: 60:[1292], Operations: ['93-59=34', '87-49=38', '34*38=1292']
Moving to Node #0,2,1,0
Current State: 60:[2537], Operations: ['93-49=44', '87-44=43', '59*43=2537']
Moving to Node #0,0,0,0
Current State: 60:[2597], Operations: ['93-59=34', '87-34=53', '49*53=2597']
Moving to Node #0,1,0,0
Current State: 60:[3245], Operations: ['87-49=38', '93-38=55', '59*55=3245']
Moving to Node #0,0,1,0
Current State: 60:[7221], Operations: ['93-59=34', '49+34=83', '87*83=7221']
Moving to Node #0,2,0,0
Current State: 60:[8961], Operations: ['93-49=44', '59+44=103', '87*103=8961']
Moving to Node #0,1,2,0
Current State: 60:[9021], Operations: ['87-49=38', '59+38=97', '93*97=9021']
No solution found. | 0 | bfs_3 | Current State: 60:[93, 49, 87, 59], Operations: []
Exploring Operation: 93-87=6, Resulting Numbers: [49, 59, 6]
Generated Node #2: [49, 59, 6] from Operation: 93-87=6
Current State: 60:[49, 59, 6], Operations: ['93-87=6']
Exploring Operation: 59-49=10, Resulting Numbers: [6, 10]
Generated Node #3: [6, 10] from Operation: 59-49=10
Current State: 60:[6, 10], Operations: ['93-87=6', '59-49=10']
Exploring Operation: 6*10=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| sum_heuristic |
[
71,
62,
1,
74
] | 84 | [
"71-62=9",
"1+74=75",
"9+75=84"
] | Current State: 84:[71, 62, 1, 74], Operations: []
Exploring Operation: 71-62=9, Resulting Numbers: [1, 74, 9]
Generated Node #0,0: 84:[1, 74, 9] Operation: 71-62=9
Moving to Node #0,0
Current State: 84:[1, 74, 9], Operations: ['71-62=9']
Exploring Operation: 74+9=83, Resulting Numbers: [1, 83]
Generated Node #0,0,0: 84:[1, 83] Operation: 74+9=83
Moving to Node #0,0,0
Current State: 84:[1, 83], Operations: ['71-62=9', '74+9=83']
Exploring Operation: 1+83=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 0.996528 | bfs_1 | Current State: 84:[71, 62, 1, 74], Operations: []
Exploring Operation: 71-62=9, Resulting Numbers: [1, 74, 9]
Generated Node #2: [1, 74, 9] from Operation: 71-62=9
Current State: 84:[1, 74, 9], Operations: ['71-62=9']
Exploring Operation: 1+74=75, Resulting Numbers: [9, 75]
Generated Node #3: [9, 75] from Operation: 1+74=75
Current State: 84:[9, 75], Operations: ['71-62=9', '1+74=75']
Exploring Operation: 9+75=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| mult_heuristic |
[
30,
27,
7,
82
] | 25 | [
"30-27=3",
"82-7=75",
"75/3=25"
] | Current State: 25:[30, 27, 7, 82], Operations: []
Exploring Operation: 82-30=52, Resulting Numbers: [27, 7, 52]
Generated Node #0,0: 25:[27, 7, 52] Operation: 82-30=52
Exploring Operation: 82-27=55, Resulting Numbers: [30, 7, 55]
Generated Node #0,1: 25:[30, 7, 55] Operation: 82-27=55
Moving to Node #0,0
Current State: 25:[27, 7, 52], Operations: ['82-30=52']
Exploring Operation: 52-7=45, Resulting Numbers: [27, 45]
Generated Node #0,0,0: 25:[27, 45] Operation: 52-7=45
Exploring Operation: 52-27=25, Resulting Numbers: [7, 25]
Generated Node #0,0,1: 25:[7, 25] Operation: 52-27=25
Moving to Node #0,1
Current State: 25:[30, 7, 55], Operations: ['82-27=55']
Exploring Operation: 55-30=25, Resulting Numbers: [7, 25]
Generated Node #0,1,0: 25:[7, 25] Operation: 55-30=25
Exploring Operation: 55-7=48, Resulting Numbers: [30, 48]
Generated Node #0,1,1: 25:[30, 48] Operation: 55-7=48
Moving to Node #0,0,1
Current State: 25:[7, 25], Operations: ['82-30=52', '52-27=25']
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,25 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Moving to Node #0,1,0
Current State: 25:[7, 25], Operations: ['82-27=55', '55-30=25']
Exploring Operation: 7+25=32, Resulting Numbers: [32]
32,25 unequal: No Solution
Exploring Operation: 25-7=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 25:[32], Operations: ['82-30=52', '52-27=25', '7+25=32']
Moving to Node #0,1,0,0
Current State: 25:[18], Operations: ['82-27=55', '55-30=25', '25-7=18']
Moving to Node #0,0,1,0
Current State: 25:[18], Operations: ['82-30=52', '52-27=25', '25-7=18']
Moving to Node #0,1,0,0
Current State: 25:[32], Operations: ['82-27=55', '55-30=25', '7+25=32']
Moving to Node #0,0,0
Current State: 25:[27, 45], Operations: ['82-30=52', '52-7=45']
Exploring Operation: 27+45=72, Resulting Numbers: [72]
72,25 unequal: No Solution
Exploring Operation: 45-27=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Moving to Node #0,1,1
Current State: 25:[30, 48], Operations: ['82-27=55', '55-7=48']
Exploring Operation: 48-30=18, Resulting Numbers: [18]
18,25 unequal: No Solution
Exploring Operation: 30+48=78, Resulting Numbers: [78]
78,25 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 25:[18], Operations: ['82-30=52', '52-7=45', '45-27=18']
Moving to Node #0,1,1,0
Current State: 25:[18], Operations: ['82-27=55', '55-7=48', '48-30=18']
Moving to Node #0,0,0,0
Current State: 25:[72], Operations: ['82-30=52', '52-7=45', '27+45=72']
Moving to Node #0,1,1,0
Current State: 25:[78], Operations: ['82-27=55', '55-7=48', '30+48=78']
No solution found. | 0 | bfs_2 | Current State: 25:[30, 27, 7, 82], Operations: []
Exploring Operation: 30-27=3, Resulting Numbers: [7, 82, 3]
Generated Node #2: [7, 82, 3] from Operation: 30-27=3
Current State: 25:[7, 82, 3], Operations: ['30-27=3']
Exploring Operation: 82-7=75, Resulting Numbers: [3, 75]
Generated Node #3: [3, 75] from Operation: 82-7=75
Current State: 25:[3, 75], Operations: ['30-27=3', '82-7=75']
Exploring Operation: 75/3=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| sum_heuristic |
[
34,
67,
29,
71
] | 75 | [
"67-34=33",
"71-29=42",
"33+42=75"
] | Current State: 75:[34, 67, 29, 71], Operations: []
Exploring Operation: 34-29=5, Resulting Numbers: [67, 71, 5]
Generated Node #0,0: 75:[67, 71, 5] Operation: 34-29=5
Moving to Node #0,0
Current State: 75:[67, 71, 5], Operations: ['34-29=5']
Exploring Operation: 71-67=4, Resulting Numbers: [5, 4]
Generated Node #0,0,0: 75:[5, 4] Operation: 71-67=4
Moving to Node #0,0,0
Current State: 75:[5, 4], Operations: ['34-29=5', '71-67=4']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[5, 4], Operations: ['34-29=5', '71-67=4']
Exploring Operation: 5+4=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,0,0
Current State: 75:[5, 4], Operations: ['34-29=5', '71-67=4']
Exploring Operation: 5*4=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[67, 71, 5], Operations: ['34-29=5']
Exploring Operation: 67+5=72, Resulting Numbers: [71, 72]
Generated Node #0,0,1: 75:[71, 72] Operation: 67+5=72
Moving to Node #0,0,1
Current State: 75:[71, 72], Operations: ['34-29=5', '67+5=72']
Exploring Operation: 72-71=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,0,1
Current State: 75:[71, 72], Operations: ['34-29=5', '67+5=72']
Exploring Operation: 71+72=143, Resulting Numbers: [143]
143,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[67, 71, 5], Operations: ['34-29=5']
Exploring Operation: 71+5=76, Resulting Numbers: [67, 76]
Generated Node #0,0,2: 75:[67, 76] Operation: 71+5=76
Moving to Node #0,0,2
Current State: 75:[67, 76], Operations: ['34-29=5', '71+5=76']
Exploring Operation: 76-67=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,0,2
Current State: 75:[67, 76], Operations: ['34-29=5', '71+5=76']
Exploring Operation: 67+76=143, Resulting Numbers: [143]
143,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[67, 71, 5], Operations: ['34-29=5']
Exploring Operation: 67-5=62, Resulting Numbers: [71, 62]
Generated Node #0,0,3: 75:[71, 62] Operation: 67-5=62
Moving to Node #0,0,3
Current State: 75:[71, 62], Operations: ['34-29=5', '67-5=62']
Exploring Operation: 71-62=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,0,3
Current State: 75:[71, 62], Operations: ['34-29=5', '67-5=62']
Exploring Operation: 71+62=133, Resulting Numbers: [133]
133,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[67, 71, 5], Operations: ['34-29=5']
Exploring Operation: 71-5=66, Resulting Numbers: [67, 66]
Generated Node #0,0,4: 75:[67, 66] Operation: 71-5=66
Moving to Node #0,0,4
Current State: 75:[67, 66], Operations: ['34-29=5', '71-5=66']
Exploring Operation: 67-66=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,0,4
Current State: 75:[67, 66], Operations: ['34-29=5', '71-5=66']
Exploring Operation: 67+66=133, Resulting Numbers: [133]
133,75 unequal: No Solution
Moving to Node #0,0
Current State: 75:[67, 71, 5], Operations: ['34-29=5']
Exploring Operation: 67+71=138, Resulting Numbers: [5, 138]
Generated Node #0,0,5: 75:[5, 138] Operation: 67+71=138
Moving to Node #0,0,5
Current State: 75:[5, 138], Operations: ['34-29=5', '67+71=138']
Exploring Operation: 138-5=133, Resulting Numbers: [133]
133,75 unequal: No Solution
Moving to Node #0,0,5
Current State: 75:[5, 138], Operations: ['34-29=5', '67+71=138']
Exploring Operation: 5+138=143, Resulting Numbers: [143]
143,75 unequal: No Solution
Moving to Node #0
Current State: 75:[34, 67, 29, 71], Operations: []
Exploring Operation: 71-67=4, Resulting Numbers: [34, 29, 4]
Generated Node #0,1: 75:[34, 29, 4] Operation: 71-67=4
Moving to Node #0,1
Current State: 75:[34, 29, 4], Operations: ['71-67=4']
Exploring Operation: 34-29=5, Resulting Numbers: [4, 5]
Generated Node #0,1,0: 75:[4, 5] Operation: 34-29=5
Moving to Node #0,1,0
Current State: 75:[4, 5], Operations: ['71-67=4', '34-29=5']
Exploring Operation: 5-4=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[4, 5], Operations: ['71-67=4', '34-29=5']
Exploring Operation: 4+5=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,1,0
Current State: 75:[4, 5], Operations: ['71-67=4', '34-29=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[34, 29, 4], Operations: ['71-67=4']
Exploring Operation: 34-4=30, Resulting Numbers: [29, 30]
Generated Node #0,1,1: 75:[29, 30] Operation: 34-4=30
Moving to Node #0,1,1
Current State: 75:[29, 30], Operations: ['71-67=4', '34-4=30']
Exploring Operation: 30-29=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,1,1
Current State: 75:[29, 30], Operations: ['71-67=4', '34-4=30']
Exploring Operation: 29+30=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[34, 29, 4], Operations: ['71-67=4']
Exploring Operation: 29-4=25, Resulting Numbers: [34, 25]
Generated Node #0,1,2: 75:[34, 25] Operation: 29-4=25
Moving to Node #0,1,2
Current State: 75:[34, 25], Operations: ['71-67=4', '29-4=25']
Exploring Operation: 34-25=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,1,2
Current State: 75:[34, 25], Operations: ['71-67=4', '29-4=25']
Exploring Operation: 34+25=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[34, 29, 4], Operations: ['71-67=4']
Exploring Operation: 34+29=63, Resulting Numbers: [4, 63]
Generated Node #0,1,3: 75:[4, 63] Operation: 34+29=63
Moving to Node #0,1,3
Current State: 75:[4, 63], Operations: ['71-67=4', '34+29=63']
Exploring Operation: 4+63=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Moving to Node #0,1,3
Current State: 75:[4, 63], Operations: ['71-67=4', '34+29=63']
Exploring Operation: 63-4=59, Resulting Numbers: [59]
59,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[34, 29, 4], Operations: ['71-67=4']
Exploring Operation: 34+4=38, Resulting Numbers: [29, 38]
Generated Node #0,1,4: 75:[29, 38] Operation: 34+4=38
Moving to Node #0,1,4
Current State: 75:[29, 38], Operations: ['71-67=4', '34+4=38']
Exploring Operation: 38-29=9, Resulting Numbers: [9]
9,75 unequal: No Solution
Moving to Node #0,1,4
Current State: 75:[29, 38], Operations: ['71-67=4', '34+4=38']
Exploring Operation: 29+38=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[34, 29, 4], Operations: ['71-67=4']
Exploring Operation: 29+4=33, Resulting Numbers: [34, 33]
Generated Node #0,1,5: 75:[34, 33] Operation: 29+4=33
Moving to Node #0,1,5
Current State: 75:[34, 33], Operations: ['71-67=4', '29+4=33']
Exploring Operation: 34-33=1, Resulting Numbers: [1]
1,75 unequal: No Solution
Moving to Node #0,1,5
Current State: 75:[34, 33], Operations: ['71-67=4', '29+4=33']
Exploring Operation: 34+33=67, Resulting Numbers: [67]
67,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[34, 29, 4], Operations: ['71-67=4']
Exploring Operation: 29*4=116, Resulting Numbers: [34, 116]
Generated Node #0,1,6: 75:[34, 116] Operation: 29*4=116
Moving to Node #0,1,6
Current State: 75:[34, 116], Operations: ['71-67=4', '29*4=116']
Exploring Operation: 116-34=82, Resulting Numbers: [82]
82,75 unequal: No Solution
Moving to Node #0,1,6
Current State: 75:[34, 116], Operations: ['71-67=4', '29*4=116']
Exploring Operation: 34+116=150, Resulting Numbers: [150]
150,75 unequal: No Solution
Moving to Node #0,1
Current State: 75:[34, 29, 4], Operations: ['71-67=4']
Exploring Operation: 34*4=136, Resulting Numbers: [29, 136]
Generated Node #0,1,7: 75:[29, 136] Operation: 34*4=136
Moving to Node #0,1,7
Current State: 75:[29, 136], Operations: ['71-67=4', '34*4=136']
Exploring Operation: 136-29=107, Resulting Numbers: [107]
107,75 unequal: No Solution
Moving to Node #0
Current State: 75:[34, 67, 29, 71], Operations: []
Exploring Operation: 67-34=33, Resulting Numbers: [29, 71, 33]
Generated Node #0,2: 75:[29, 71, 33] Operation: 67-34=33
Moving to Node #0,2
Current State: 75:[29, 71, 33], Operations: ['67-34=33']
Exploring Operation: 33-29=4, Resulting Numbers: [71, 4]
Generated Node #0,2,0: 75:[71, 4] Operation: 33-29=4
Moving to Node #0,2,0
Current State: 75:[71, 4], Operations: ['67-34=33', '33-29=4']
Exploring Operation: 71+4=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 0.957465 | dfs | Current State: 75:[34, 67, 29, 71], Operations: []
Exploring Operation: 67-34=33, Resulting Numbers: [29, 71, 33]
Generated Node #2: [29, 71, 33] from Operation: 67-34=33
Current State: 75:[29, 71, 33], Operations: ['67-34=33']
Exploring Operation: 71-29=42, Resulting Numbers: [33, 42]
Generated Node #3: [33, 42] from Operation: 71-29=42
Current State: 75:[33, 42], Operations: ['67-34=33', '71-29=42']
Exploring Operation: 33+42=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| mult_heuristic |
[
32,
24,
14,
26
] | 23 | [
"32+14=46",
"26-24=2",
"46/2=23"
] | Current State: 23:[32, 24, 14, 26], Operations: []
Exploring Operation: 32-24=8, Resulting Numbers: [14, 26, 8]
Generated Node #0,0: 23:[14, 26, 8] Operation: 32-24=8
Exploring Operation: 32-14=18, Resulting Numbers: [24, 26, 18]
Generated Node #0,1: 23:[24, 26, 18] Operation: 32-14=18
Exploring Operation: 26-14=12, Resulting Numbers: [32, 24, 12]
Generated Node #0,2: 23:[32, 24, 12] Operation: 26-14=12
Exploring Operation: 24-14=10, Resulting Numbers: [32, 26, 10]
Generated Node #0,3: 23:[32, 26, 10] Operation: 24-14=10
Moving to Node #0,1
Current State: 23:[24, 26, 18], Operations: ['32-14=18']
Exploring Operation: 24+18=42, Resulting Numbers: [26, 42]
Generated Node #0,1,0: 23:[26, 42] Operation: 24+18=42
Exploring Operation: 24-18=6, Resulting Numbers: [26, 6]
Generated Node #0,1,1: 23:[26, 6] Operation: 24-18=6
Exploring Operation: 26+18=44, Resulting Numbers: [24, 44]
Generated Node #0,1,2: 23:[24, 44] Operation: 26+18=44
Exploring Operation: 26-18=8, Resulting Numbers: [24, 8]
Generated Node #0,1,3: 23:[24, 8] Operation: 26-18=8
Moving to Node #0,2
Current State: 23:[32, 24, 12], Operations: ['26-14=12']
Exploring Operation: 32+12=44, Resulting Numbers: [24, 44]
Generated Node #0,2,0: 23:[24, 44] Operation: 32+12=44
Exploring Operation: 24-12=12, Resulting Numbers: [32, 12]
Generated Node #0,2,1: 23:[32, 12] Operation: 24-12=12
Exploring Operation: 32-12=20, Resulting Numbers: [24, 20]
Generated Node #0,2,2: 23:[24, 20] Operation: 32-12=20
Exploring Operation: 24+12=36, Resulting Numbers: [32, 36]
Generated Node #0,2,3: 23:[32, 36] Operation: 24+12=36
Moving to Node #0,3
Current State: 23:[32, 26, 10], Operations: ['24-14=10']
Exploring Operation: 32-10=22, Resulting Numbers: [26, 22]
Generated Node #0,3,0: 23:[26, 22] Operation: 32-10=22
Exploring Operation: 32+10=42, Resulting Numbers: [26, 42]
Generated Node #0,3,1: 23:[26, 42] Operation: 32+10=42
Exploring Operation: 26-10=16, Resulting Numbers: [32, 16]
Generated Node #0,3,2: 23:[32, 16] Operation: 26-10=16
Exploring Operation: 26+10=36, Resulting Numbers: [32, 36]
Generated Node #0,3,3: 23:[32, 36] Operation: 26+10=36
Moving to Node #0,0
Current State: 23:[14, 26, 8], Operations: ['32-24=8']
Exploring Operation: 26+8=34, Resulting Numbers: [14, 34]
Generated Node #0,0,0: 23:[14, 34] Operation: 26+8=34
Exploring Operation: 14+8=22, Resulting Numbers: [26, 22]
Generated Node #0,0,1: 23:[26, 22] Operation: 14+8=22
Exploring Operation: 26-8=18, Resulting Numbers: [14, 18]
Generated Node #0,0,2: 23:[14, 18] Operation: 26-8=18
Exploring Operation: 14-8=6, Resulting Numbers: [26, 6]
Generated Node #0,0,3: 23:[26, 6] Operation: 14-8=6
Moving to Node #0,2,2
Current State: 23:[24, 20], Operations: ['26-14=12', '32-12=20']
Exploring Operation: 24*20=480, Resulting Numbers: [480]
480,23 unequal: No Solution
Exploring Operation: 24+20=44, Resulting Numbers: [44]
44,23 unequal: No Solution
Exploring Operation: 24-20=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Moving to Node #0,0,1
Current State: 23:[26, 22], Operations: ['32-24=8', '14+8=22']
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,23 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Moving to Node #0,3,0
Current State: 23:[26, 22], Operations: ['24-14=10', '32-10=22']
Exploring Operation: 26*22=572, Resulting Numbers: [572]
572,23 unequal: No Solution
Exploring Operation: 26+22=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 26-22=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Moving to Node #0,0,2
Current State: 23:[14, 18], Operations: ['32-24=8', '26-8=18']
Exploring Operation: 14+18=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 18-14=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 14*18=252, Resulting Numbers: [252]
252,23 unequal: No Solution
Moving to Node #0,3,2
Current State: 23:[32, 16], Operations: ['24-14=10', '26-10=16']
Exploring Operation: 32+16=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 32-16=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 32/16=2, Resulting Numbers: [2]
2,23 unequal: No Solution
Exploring Operation: 32*16=512, Resulting Numbers: [512]
512,23 unequal: No Solution
Moving to Node #0,1,3
Current State: 23:[24, 8], Operations: ['32-14=18', '26-18=8']
Exploring Operation: 24+8=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 24*8=192, Resulting Numbers: [192]
192,23 unequal: No Solution
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 24/8=3, Resulting Numbers: [3]
3,23 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 23:[32], Operations: ['32-24=8', '26-8=18', '14+18=32']
Moving to Node #0,0,0
Current State: 23:[14, 34], Operations: ['32-24=8', '26+8=34']
Exploring Operation: 34-14=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 14+34=48, Resulting Numbers: [48]
48,23 unequal: No Solution
Exploring Operation: 14*34=476, Resulting Numbers: [476]
476,23 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 23:[20], Operations: ['32-24=8', '26+8=34', '34-14=20']
Moving to Node #0,3,2,0
Current State: 23:[16], Operations: ['24-14=10', '26-10=16', '32-16=16']
Moving to Node #0,1,3,0
Current State: 23:[16], Operations: ['32-14=18', '26-18=8', '24-8=16']
Moving to Node #0,1,3,0
Current State: 23:[32], Operations: ['32-14=18', '26-18=8', '24+8=32']
Moving to Node #0,2,1
Current State: 23:[32, 12], Operations: ['26-14=12', '24-12=12']
Exploring Operation: 32-12=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 32+12=44, Resulting Numbers: [44]
44,23 unequal: No Solution
Exploring Operation: 32*12=384, Resulting Numbers: [384]
384,23 unequal: No Solution
Moving to Node #0,1,1
Current State: 23:[26, 6], Operations: ['32-14=18', '24-18=6']
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,23 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Moving to Node #0,0,3
Current State: 23:[26, 6], Operations: ['32-24=8', '14-8=6']
Exploring Operation: 26*6=156, Resulting Numbers: [156]
156,23 unequal: No Solution
Exploring Operation: 26-6=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 26+6=32, Resulting Numbers: [32]
32,23 unequal: No Solution
Moving to Node #0,2,0
Current State: 23:[24, 44], Operations: ['26-14=12', '32+12=44']
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,23 unequal: No Solution
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,23 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 23:[20], Operations: ['26-14=12', '24-12=12', '32-12=20']
Moving to Node #0,1,1,0
Current State: 23:[20], Operations: ['32-14=18', '24-18=6', '26-6=20']
Moving to Node #0,0,3,0
Current State: 23:[20], Operations: ['32-24=8', '14-8=6', '26-6=20']
Moving to Node #0,2,0,0
Current State: 23:[20], Operations: ['26-14=12', '32+12=44', '44-24=20']
Moving to Node #0,1,1,0
Current State: 23:[32], Operations: ['32-14=18', '24-18=6', '26+6=32']
Moving to Node #0,0,3,0
Current State: 23:[32], Operations: ['32-24=8', '14-8=6', '26+6=32']
Moving to Node #0,3,3
Current State: 23:[32, 36], Operations: ['24-14=10', '26+10=36']
Exploring Operation: 32*36=1152, Resulting Numbers: [1152]
1152,23 unequal: No Solution
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,23 unequal: No Solution
Moving to Node #0,2,3
Current State: 23:[32, 36], Operations: ['26-14=12', '24+12=36']
Exploring Operation: 36-32=4, Resulting Numbers: [4]
4,23 unequal: No Solution
Exploring Operation: 32*36=1152, Resulting Numbers: [1152]
1152,23 unequal: No Solution
Exploring Operation: 32+36=68, Resulting Numbers: [68]
68,23 unequal: No Solution
Moving to Node #0,3,1
Current State: 23:[26, 42], Operations: ['24-14=10', '32+10=42']
Exploring Operation: 26+42=68, Resulting Numbers: [68]
68,23 unequal: No Solution
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 26*42=1092, Resulting Numbers: [1092]
1092,23 unequal: No Solution
Moving to Node #0,1,2
Current State: 23:[24, 44], Operations: ['32-14=18', '26+18=44']
Exploring Operation: 24*44=1056, Resulting Numbers: [1056]
1056,23 unequal: No Solution
Exploring Operation: 44-24=20, Resulting Numbers: [20]
20,23 unequal: No Solution
Exploring Operation: 24+44=68, Resulting Numbers: [68]
68,23 unequal: No Solution
Moving to Node #0,1,0
Current State: 23:[26, 42], Operations: ['32-14=18', '24+18=42']
Exploring Operation: 42-26=16, Resulting Numbers: [16]
16,23 unequal: No Solution
Exploring Operation: 26*42=1092, Resulting Numbers: [1092]
1092,23 unequal: No Solution
Exploring Operation: 26+42=68, Resulting Numbers: [68]
68,23 unequal: No Solution
Moving to Node #0,2,2,0
Current State: 23:[4], Operations: ['26-14=12', '32-12=20', '24-20=4']
Moving to Node #0,1,2,0
Current State: 23:[20], Operations: ['32-14=18', '26+18=44', '44-24=20']
Moving to Node #0,3,1,0
Current State: 23:[16], Operations: ['24-14=10', '32+10=42', '42-26=16']
Moving to Node #0,1,0,0
Current State: 23:[16], Operations: ['32-14=18', '24+18=42', '42-26=16']
Moving to Node #0,3,3,0
Current State: 23:[4], Operations: ['24-14=10', '26+10=36', '36-32=4']
Moving to Node #0,2,3,0
Current State: 23:[4], Operations: ['26-14=12', '24+12=36', '36-32=4']
Moving to Node #0,0,1,0
Current State: 23:[4], Operations: ['32-24=8', '14+8=22', '26-22=4']
Moving to Node #0,0,2,0
Current State: 23:[4], Operations: ['32-24=8', '26-8=18', '18-14=4']
Moving to Node #0,3,0,0
Current State: 23:[4], Operations: ['24-14=10', '32-10=22', '26-22=4']
Moving to Node #0,1,3,0
Current State: 23:[3], Operations: ['32-14=18', '26-18=8', '24/8=3']
Moving to Node #0,2,2,0
Current State: 23:[44], Operations: ['26-14=12', '32-12=20', '24+20=44']
Moving to Node #0,2,1,0
Current State: 23:[44], Operations: ['26-14=12', '24-12=12', '32+12=44']
Moving to Node #0,3,2,0
Current State: 23:[2], Operations: ['24-14=10', '26-10=16', '32/16=2']
Moving to Node #0,0,0,0
Current State: 23:[48], Operations: ['32-24=8', '26+8=34', '14+34=48']
Moving to Node #0,3,2,0
Current State: 23:[48], Operations: ['24-14=10', '26-10=16', '32+16=48']
Moving to Node #0,3,0,0
Current State: 23:[48], Operations: ['24-14=10', '32-10=22', '26+22=48']
Moving to Node #0,0,1,0
Current State: 23:[48], Operations: ['32-24=8', '14+8=22', '26+22=48']
Moving to Node #0,3,1,0
Current State: 23:[68], Operations: ['24-14=10', '32+10=42', '26+42=68']
Moving to Node #0,3,3,0
Current State: 23:[68], Operations: ['24-14=10', '26+10=36', '32+36=68']
Moving to Node #0,2,0,0
Current State: 23:[68], Operations: ['26-14=12', '32+12=44', '24+44=68']
Moving to Node #0,1,0,0
Current State: 23:[68], Operations: ['32-14=18', '24+18=42', '26+42=68']
Moving to Node #0,1,2,0
Current State: 23:[68], Operations: ['32-14=18', '26+18=44', '24+44=68']
Moving to Node #0,2,3,0
Current State: 23:[68], Operations: ['26-14=12', '24+12=36', '32+36=68']
Moving to Node #0,0,3,0
Current State: 23:[156], Operations: ['32-24=8', '14-8=6', '26*6=156']
Moving to Node #0,1,1,0
Current State: 23:[156], Operations: ['32-14=18', '24-18=6', '26*6=156']
Moving to Node #0,1,3,0
Current State: 23:[192], Operations: ['32-14=18', '26-18=8', '24*8=192']
Moving to Node #0,0,2,0
Current State: 23:[252], Operations: ['32-24=8', '26-8=18', '14*18=252']
Moving to Node #0,2,1,0
Current State: 23:[384], Operations: ['26-14=12', '24-12=12', '32*12=384']
Moving to Node #0,0,0,0
Current State: 23:[476], Operations: ['32-24=8', '26+8=34', '14*34=476']
Moving to Node #0,2,2,0
Current State: 23:[480], Operations: ['26-14=12', '32-12=20', '24*20=480']
Moving to Node #0,3,2,0
Current State: 23:[512], Operations: ['24-14=10', '26-10=16', '32*16=512']
Moving to Node #0,3,0,0
Current State: 23:[572], Operations: ['24-14=10', '32-10=22', '26*22=572']
Moving to Node #0,0,1,0
Current State: 23:[572], Operations: ['32-24=8', '14+8=22', '26*22=572']
Moving to Node #0,2,0,0
Current State: 23:[1056], Operations: ['26-14=12', '32+12=44', '24*44=1056']
Moving to Node #0,1,2,0
Current State: 23:[1056], Operations: ['32-14=18', '26+18=44', '24*44=1056']
Moving to Node #0,3,1,0
Current State: 23:[1092], Operations: ['24-14=10', '32+10=42', '26*42=1092']
Moving to Node #0,1,0,0
Current State: 23:[1092], Operations: ['32-14=18', '24+18=42', '26*42=1092']
Moving to Node #0,2,3,0
Current State: 23:[1152], Operations: ['26-14=12', '24+12=36', '32*36=1152']
Moving to Node #0,3,3,0
Current State: 23:[1152], Operations: ['24-14=10', '26+10=36', '32*36=1152']
No solution found. | 0 | bfs_4 | Current State: 23:[32, 24, 14, 26], Operations: []
Exploring Operation: 32+14=46, Resulting Numbers: [24, 26, 46]
Generated Node #2: [24, 26, 46] from Operation: 32+14=46
Current State: 23:[24, 26, 46], Operations: ['32+14=46']
Exploring Operation: 26-24=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 26-24=2
Current State: 23:[46, 2], Operations: ['32+14=46', '26-24=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| sum_heuristic |
[
50,
54,
24,
44
] | 49 | [
"54*44=2376",
"2376/24=99",
"99-50=49"
] | Current State: 49:[50, 54, 24, 44], Operations: []
Exploring Operation: 44-24=20, Resulting Numbers: [50, 54, 20]
Generated Node #0,0: 49:[50, 54, 20] Operation: 44-24=20
Exploring Operation: 54-44=10, Resulting Numbers: [50, 24, 10]
Generated Node #0,1: 49:[50, 24, 10] Operation: 54-44=10
Moving to Node #0,0
Current State: 49:[50, 54, 20], Operations: ['44-24=20']
Exploring Operation: 54-20=34, Resulting Numbers: [50, 34]
Generated Node #0,0,0: 49:[50, 34] Operation: 54-20=34
Exploring Operation: 54-50=4, Resulting Numbers: [20, 4]
Generated Node #0,0,1: 49:[20, 4] Operation: 54-50=4
Moving to Node #0,1
Current State: 49:[50, 24, 10], Operations: ['54-44=10']
Exploring Operation: 24-10=14, Resulting Numbers: [50, 14]
Generated Node #0,1,0: 49:[50, 14] Operation: 24-10=14
Exploring Operation: 24+10=34, Resulting Numbers: [50, 34]
Generated Node #0,1,1: 49:[50, 34] Operation: 24+10=34
Moving to Node #0,1,0
Current State: 49:[50, 14], Operations: ['54-44=10', '24-10=14']
Exploring Operation: 50-14=36, Resulting Numbers: [36]
36,49 unequal: No Solution
Exploring Operation: 50+14=64, Resulting Numbers: [64]
64,49 unequal: No Solution
Moving to Node #0,0,0
Current State: 49:[50, 34], Operations: ['44-24=20', '54-20=34']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,49 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 49:[16], Operations: ['44-24=20', '54-20=34', '50-34=16']
Moving to Node #0,1,0,0
Current State: 49:[36], Operations: ['54-44=10', '24-10=14', '50-14=36']
Moving to Node #0,1,0,0
Current State: 49:[64], Operations: ['54-44=10', '24-10=14', '50+14=64']
Moving to Node #0,0,1
Current State: 49:[20, 4], Operations: ['44-24=20', '54-50=4']
Exploring Operation: 20/4=5, Resulting Numbers: [5]
5,49 unequal: No Solution
Exploring Operation: 20-4=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 49:[5], Operations: ['44-24=20', '54-50=4', '20/4=5']
Moving to Node #0,0,1,0
Current State: 49:[16], Operations: ['44-24=20', '54-50=4', '20-4=16']
Moving to Node #0,1,1
Current State: 49:[50, 34], Operations: ['54-44=10', '24+10=34']
Exploring Operation: 50-34=16, Resulting Numbers: [16]
16,49 unequal: No Solution
Exploring Operation: 50+34=84, Resulting Numbers: [84]
84,49 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 49:[84], Operations: ['44-24=20', '54-20=34', '50+34=84']
Moving to Node #0,1,1,0
Current State: 49:[16], Operations: ['54-44=10', '24+10=34', '50-34=16']
Moving to Node #0,1,1,0
Current State: 49:[84], Operations: ['54-44=10', '24+10=34', '50+34=84']
No solution found. | 0 | bfs_2 | Current State: 49:[50, 54, 24, 44], Operations: []
Exploring Operation: 54*44=2376, Resulting Numbers: [50, 24, 2376]
Generated Node #2: [50, 24, 2376] from Operation: 54*44=2376
Current State: 49:[50, 24, 2376], Operations: ['54*44=2376']
Exploring Operation: 2376/24=99, Resulting Numbers: [50, 99]
Generated Node #3: [50, 99] from Operation: 2376/24=99
Current State: 49:[50, 99], Operations: ['54*44=2376', '2376/24=99']
Exploring Operation: 99-50=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| mult_heuristic |
[
83,
85,
97,
6
] | 100 | [
"85-83=2",
"6/2=3",
"97+3=100"
] | Current State: 100:[83, 85, 97, 6], Operations: []
Exploring Operation: 83+6=89, Resulting Numbers: [85, 97, 89]
Generated Node #0,0: 100:[85, 97, 89] Operation: 83+6=89
Exploring Operation: 85+6=91, Resulting Numbers: [83, 97, 91]
Generated Node #0,1: 100:[83, 97, 91] Operation: 85+6=91
Moving to Node #0,0
Current State: 100:[85, 97, 89], Operations: ['83+6=89']
Exploring Operation: 85+89=174, Resulting Numbers: [97, 174]
Generated Node #0,0,0: 100:[97, 174] Operation: 85+89=174
Exploring Operation: 85+97=182, Resulting Numbers: [89, 182]
Generated Node #0,0,1: 100:[89, 182] Operation: 85+97=182
Moving to Node #0,1
Current State: 100:[83, 97, 91], Operations: ['85+6=91']
Exploring Operation: 83+97=180, Resulting Numbers: [91, 180]
Generated Node #0,1,0: 100:[91, 180] Operation: 83+97=180
Exploring Operation: 83+91=174, Resulting Numbers: [97, 174]
Generated Node #0,1,1: 100:[97, 174] Operation: 83+91=174
Moving to Node #0,0,0
Current State: 100:[97, 174], Operations: ['83+6=89', '85+89=174']
Exploring Operation: 174-97=77, Resulting Numbers: [77]
77,100 unequal: No Solution
Exploring Operation: 97+174=271, Resulting Numbers: [271]
271,100 unequal: No Solution
Moving to Node #0,1,1
Current State: 100:[97, 174], Operations: ['85+6=91', '83+91=174']
Exploring Operation: 174-97=77, Resulting Numbers: [77]
77,100 unequal: No Solution
Exploring Operation: 97+174=271, Resulting Numbers: [271]
271,100 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 100:[77], Operations: ['83+6=89', '85+89=174', '174-97=77']
Moving to Node #0,1,1,0
Current State: 100:[77], Operations: ['85+6=91', '83+91=174', '174-97=77']
Moving to Node #0,1,0
Current State: 100:[91, 180], Operations: ['85+6=91', '83+97=180']
Exploring Operation: 180-91=89, Resulting Numbers: [89]
89,100 unequal: No Solution
Exploring Operation: 91+180=271, Resulting Numbers: [271]
271,100 unequal: No Solution
Moving to Node #0,0,1
Current State: 100:[89, 182], Operations: ['83+6=89', '85+97=182']
Exploring Operation: 89+182=271, Resulting Numbers: [271]
271,100 unequal: No Solution
Exploring Operation: 182-89=93, Resulting Numbers: [93]
93,100 unequal: No Solution
Moving to Node #0,0,1,0
Current State: 100:[93], Operations: ['83+6=89', '85+97=182', '182-89=93']
Moving to Node #0,1,0,0
Current State: 100:[89], Operations: ['85+6=91', '83+97=180', '180-91=89']
Moving to Node #0,0,0,0
Current State: 100:[271], Operations: ['83+6=89', '85+89=174', '97+174=271']
Moving to Node #0,0,1,0
Current State: 100:[271], Operations: ['83+6=89', '85+97=182', '89+182=271']
Moving to Node #0,1,1,0
Current State: 100:[271], Operations: ['85+6=91', '83+91=174', '97+174=271']
Moving to Node #0,1,0,0
Current State: 100:[271], Operations: ['85+6=91', '83+97=180', '91+180=271']
No solution found. | 0 | bfs_2 | Current State: 100:[83, 85, 97, 6], Operations: []
Exploring Operation: 85-83=2, Resulting Numbers: [97, 6, 2]
Generated Node #2: [97, 6, 2] from Operation: 85-83=2
Current State: 100:[97, 6, 2], Operations: ['85-83=2']
Exploring Operation: 6/2=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 6/2=3
Current State: 100:[97, 3], Operations: ['85-83=2', '6/2=3']
Exploring Operation: 97+3=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| sum_heuristic |
[
11,
58,
73,
57
] | 31 | [
"58-11=47",
"73-57=16",
"47-16=31"
] | Current State: 31:[11, 58, 73, 57], Operations: []
Exploring Operation: 73-57=16, Resulting Numbers: [11, 58, 16]
Generated Node #0,0: 31:[11, 58, 16] Operation: 73-57=16
Exploring Operation: 73-58=15, Resulting Numbers: [11, 57, 15]
Generated Node #0,1: 31:[11, 57, 15] Operation: 73-58=15
Moving to Node #0,0
Current State: 31:[11, 58, 16], Operations: ['73-57=16']
Exploring Operation: 11+16=27, Resulting Numbers: [58, 27]
Generated Node #0,0,0: 31:[58, 27] Operation: 11+16=27
Exploring Operation: 58-11=47, Resulting Numbers: [16, 47]
Generated Node #0,0,1: 31:[16, 47] Operation: 58-11=47
Moving to Node #0,1
Current State: 31:[11, 57, 15], Operations: ['73-58=15']
Exploring Operation: 11+15=26, Resulting Numbers: [57, 26]
Generated Node #0,1,0: 31:[57, 26] Operation: 11+15=26
Exploring Operation: 57-11=46, Resulting Numbers: [15, 46]
Generated Node #0,1,1: 31:[15, 46] Operation: 57-11=46
Moving to Node #0,0,0
Current State: 31:[58, 27], Operations: ['73-57=16', '11+16=27']
Exploring Operation: 58-27=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| 0.993056 | bfs_2 | Current State: 31:[11, 58, 73, 57], Operations: []
Exploring Operation: 58-11=47, Resulting Numbers: [73, 57, 47]
Generated Node #2: [73, 57, 47] from Operation: 58-11=47
Current State: 31:[73, 57, 47], Operations: ['58-11=47']
Exploring Operation: 73-57=16, Resulting Numbers: [47, 16]
Generated Node #3: [47, 16] from Operation: 73-57=16
Current State: 31:[47, 16], Operations: ['58-11=47', '73-57=16']
Exploring Operation: 47-16=31, Resulting Numbers: [31]
31,31 equal: Goal Reached
| mult_heuristic |
[
40,
55,
16,
54
] | 55 | [
"55-40=15",
"16+54=70",
"70-15=55"
] | Current State: 55:[40, 55, 16, 54], Operations: []
Exploring Operation: 40+16=56, Resulting Numbers: [55, 54, 56]
Generated Node #0,0: 55:[55, 54, 56] Operation: 40+16=56
Exploring Operation: 16+54=70, Resulting Numbers: [40, 55, 70]
Generated Node #0,1: 55:[40, 55, 70] Operation: 16+54=70
Exploring Operation: 40-16=24, Resulting Numbers: [55, 54, 24]
Generated Node #0,2: 55:[55, 54, 24] Operation: 40-16=24
Moving to Node #0,0
Current State: 55:[55, 54, 56], Operations: ['40+16=56']
Exploring Operation: 55+54=109, Resulting Numbers: [56, 109]
Generated Node #0,0,0: 55:[56, 109] Operation: 55+54=109
Exploring Operation: 56-54=2, Resulting Numbers: [55, 2]
Generated Node #0,0,1: 55:[55, 2] Operation: 56-54=2
Exploring Operation: 55-54=1, Resulting Numbers: [56, 1]
Generated Node #0,0,2: 55:[56, 1] Operation: 55-54=1
Moving to Node #0,1
Current State: 55:[40, 55, 70], Operations: ['16+54=70']
Exploring Operation: 70-40=30, Resulting Numbers: [55, 30]
Generated Node #0,1,0: 55:[55, 30] Operation: 70-40=30
Exploring Operation: 40+55=95, Resulting Numbers: [70, 95]
Generated Node #0,1,1: 55:[70, 95] Operation: 40+55=95
Exploring Operation: 55-40=15, Resulting Numbers: [70, 15]
Generated Node #0,1,2: 55:[70, 15] Operation: 55-40=15
Moving to Node #0,2
Current State: 55:[55, 54, 24], Operations: ['40-16=24']
Exploring Operation: 55+24=79, Resulting Numbers: [54, 79]
Generated Node #0,2,0: 55:[54, 79] Operation: 55+24=79
Exploring Operation: 55-24=31, Resulting Numbers: [54, 31]
Generated Node #0,2,1: 55:[54, 31] Operation: 55-24=31
Exploring Operation: 54+24=78, Resulting Numbers: [55, 78]
Generated Node #0,2,2: 55:[55, 78] Operation: 54+24=78
Moving to Node #0,2,2
Current State: 55:[55, 78], Operations: ['40-16=24', '54+24=78']
Exploring Operation: 55*78=4290, Resulting Numbers: [4290]
4290,55 unequal: No Solution
Exploring Operation: 78-55=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 55+78=133, Resulting Numbers: [133]
133,55 unequal: No Solution
Moving to Node #0,1,0
Current State: 55:[55, 30], Operations: ['16+54=70', '70-40=30']
Exploring Operation: 55*30=1650, Resulting Numbers: [1650]
1650,55 unequal: No Solution
Exploring Operation: 55+30=85, Resulting Numbers: [85]
85,55 unequal: No Solution
Exploring Operation: 55-30=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Moving to Node #0,2,0
Current State: 55:[54, 79], Operations: ['40-16=24', '55+24=79']
Exploring Operation: 79-54=25, Resulting Numbers: [25]
25,55 unequal: No Solution
Exploring Operation: 54+79=133, Resulting Numbers: [133]
133,55 unequal: No Solution
Exploring Operation: 54*79=4266, Resulting Numbers: [4266]
4266,55 unequal: No Solution
Moving to Node #0,2,1
Current State: 55:[54, 31], Operations: ['40-16=24', '55-24=31']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,55 unequal: No Solution
Exploring Operation: 54*31=1674, Resulting Numbers: [1674]
1674,55 unequal: No Solution
Exploring Operation: 54+31=85, Resulting Numbers: [85]
85,55 unequal: No Solution
Moving to Node #0,0,1
Current State: 55:[55, 2], Operations: ['40+16=56', '56-54=2']
Exploring Operation: 55-2=53, Resulting Numbers: [53]
53,55 unequal: No Solution
Exploring Operation: 55+2=57, Resulting Numbers: [57]
57,55 unequal: No Solution
Exploring Operation: 55*2=110, Resulting Numbers: [110]
110,55 unequal: No Solution
Moving to Node #0,1,2
Current State: 55:[70, 15], Operations: ['16+54=70', '55-40=15']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 0.974826 | bfs_3 | Current State: 55:[40, 55, 16, 54], Operations: []
Exploring Operation: 55-40=15, Resulting Numbers: [16, 54, 15]
Generated Node #2: [16, 54, 15] from Operation: 55-40=15
Current State: 55:[16, 54, 15], Operations: ['55-40=15']
Exploring Operation: 16+54=70, Resulting Numbers: [15, 70]
Generated Node #3: [15, 70] from Operation: 16+54=70
Current State: 55:[15, 70], Operations: ['55-40=15', '16+54=70']
Exploring Operation: 70-15=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| sum_heuristic |
[
15,
17,
9,
5
] | 93 | [
"17-5=12",
"9*12=108",
"108-15=93"
] | Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 15+17=32, Resulting Numbers: [9, 5, 32]
Generated Node #0,0: 93:[9, 5, 32] Operation: 15+17=32
Moving to Node #0,0
Current State: 93:[9, 5, 32], Operations: ['15+17=32']
Exploring Operation: 9-5=4, Resulting Numbers: [32, 4]
Generated Node #0,0,0: 93:[32, 4] Operation: 9-5=4
Moving to Node #0,0,0
Current State: 93:[32, 4], Operations: ['15+17=32', '9-5=4']
Exploring Operation: 32-4=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[32, 4], Operations: ['15+17=32', '9-5=4']
Exploring Operation: 32+4=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[32, 4], Operations: ['15+17=32', '9-5=4']
Exploring Operation: 32/4=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Moving to Node #0,0,0
Current State: 93:[32, 4], Operations: ['15+17=32', '9-5=4']
Exploring Operation: 32*4=128, Resulting Numbers: [128]
128,93 unequal: No Solution
Moving to Node #0,0
Current State: 93:[9, 5, 32], Operations: ['15+17=32']
Exploring Operation: 32-9=23, Resulting Numbers: [5, 23]
Generated Node #0,0,1: 93:[5, 23] Operation: 32-9=23
Moving to Node #0,0,1
Current State: 93:[5, 23], Operations: ['15+17=32', '32-9=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[5, 23], Operations: ['15+17=32', '32-9=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,0,1
Current State: 93:[5, 23], Operations: ['15+17=32', '32-9=23']
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,93 unequal: No Solution
Moving to Node #0,0
Current State: 93:[9, 5, 32], Operations: ['15+17=32']
Exploring Operation: 32-5=27, Resulting Numbers: [9, 27]
Generated Node #0,0,2: 93:[9, 27] Operation: 32-5=27
Moving to Node #0,0,2
Current State: 93:[9, 27], Operations: ['15+17=32', '32-5=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[9, 27], Operations: ['15+17=32', '32-5=27']
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,0,2
Current State: 93:[9, 27], Operations: ['15+17=32', '32-5=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,0
Current State: 93:[9, 5, 32], Operations: ['15+17=32']
Exploring Operation: 9+5=14, Resulting Numbers: [32, 14]
Generated Node #0,0,3: 93:[32, 14] Operation: 9+5=14
Moving to Node #0,0,3
Current State: 93:[32, 14], Operations: ['15+17=32', '9+5=14']
Exploring Operation: 32-14=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,0,3
Current State: 93:[32, 14], Operations: ['15+17=32', '9+5=14']
Exploring Operation: 32+14=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,0
Current State: 93:[9, 5, 32], Operations: ['15+17=32']
Exploring Operation: 9+32=41, Resulting Numbers: [5, 41]
Generated Node #0,0,4: 93:[5, 41] Operation: 9+32=41
Moving to Node #0,0,4
Current State: 93:[5, 41], Operations: ['15+17=32', '9+32=41']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,0,4
Current State: 93:[5, 41], Operations: ['15+17=32', '9+32=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,0
Current State: 93:[9, 5, 32], Operations: ['15+17=32']
Exploring Operation: 5+32=37, Resulting Numbers: [9, 37]
Generated Node #0,0,5: 93:[9, 37] Operation: 5+32=37
Moving to Node #0,0,5
Current State: 93:[9, 37], Operations: ['15+17=32', '5+32=37']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,0,5
Current State: 93:[9, 37], Operations: ['15+17=32', '5+32=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,0
Current State: 93:[9, 5, 32], Operations: ['15+17=32']
Exploring Operation: 9*5=45, Resulting Numbers: [32, 45]
Generated Node #0,0,6: 93:[32, 45] Operation: 9*5=45
Moving to Node #0,0,6
Current State: 93:[32, 45], Operations: ['15+17=32', '9*5=45']
Exploring Operation: 45-32=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Moving to Node #0,0,6
Current State: 93:[32, 45], Operations: ['15+17=32', '9*5=45']
Exploring Operation: 32+45=77, Resulting Numbers: [77]
77,93 unequal: No Solution
Moving to Node #0,0
Current State: 93:[9, 5, 32], Operations: ['15+17=32']
Exploring Operation: 5*32=160, Resulting Numbers: [9, 160]
Generated Node #0,0,7: 93:[9, 160] Operation: 5*32=160
Moving to Node #0,0,7
Current State: 93:[9, 160], Operations: ['15+17=32', '5*32=160']
Exploring Operation: 160-9=151, Resulting Numbers: [151]
151,93 unequal: No Solution
Moving to Node #0,0,7
Current State: 93:[9, 160], Operations: ['15+17=32', '5*32=160']
Exploring Operation: 9+160=169, Resulting Numbers: [169]
169,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 17-15=2, Resulting Numbers: [9, 5, 2]
Generated Node #0,1: 93:[9, 5, 2] Operation: 17-15=2
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 9-5=4, Resulting Numbers: [2, 4]
Generated Node #0,1,0: 93:[2, 4] Operation: 9-5=4
Moving to Node #0,1,0
Current State: 93:[2, 4], Operations: ['17-15=2', '9-5=4']
Exploring Operation: 4-2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[2, 4], Operations: ['17-15=2', '9-5=4']
Exploring Operation: 4/2=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[2, 4], Operations: ['17-15=2', '9-5=4']
Exploring Operation: 2+4=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,1,0
Current State: 93:[2, 4], Operations: ['17-15=2', '9-5=4']
Exploring Operation: 2*4=8, Resulting Numbers: [8]
8,93 unequal: No Solution
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 9-2=7, Resulting Numbers: [5, 7]
Generated Node #0,1,1: 93:[5, 7] Operation: 9-2=7
Moving to Node #0,1,1
Current State: 93:[5, 7], Operations: ['17-15=2', '9-2=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[5, 7], Operations: ['17-15=2', '9-2=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Moving to Node #0,1,1
Current State: 93:[5, 7], Operations: ['17-15=2', '9-2=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 5-2=3, Resulting Numbers: [9, 3]
Generated Node #0,1,2: 93:[9, 3] Operation: 5-2=3
Moving to Node #0,1,2
Current State: 93:[9, 3], Operations: ['17-15=2', '5-2=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[9, 3], Operations: ['17-15=2', '5-2=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[9, 3], Operations: ['17-15=2', '5-2=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Moving to Node #0,1,2
Current State: 93:[9, 3], Operations: ['17-15=2', '5-2=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 9+2=11, Resulting Numbers: [5, 11]
Generated Node #0,1,3: 93:[5, 11] Operation: 9+2=11
Moving to Node #0,1,3
Current State: 93:[5, 11], Operations: ['17-15=2', '9+2=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[5, 11], Operations: ['17-15=2', '9+2=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,1,3
Current State: 93:[5, 11], Operations: ['17-15=2', '9+2=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 5+2=7, Resulting Numbers: [9, 7]
Generated Node #0,1,4: 93:[9, 7] Operation: 5+2=7
Moving to Node #0,1,4
Current State: 93:[9, 7], Operations: ['17-15=2', '5+2=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,1,4
Current State: 93:[9, 7], Operations: ['17-15=2', '5+2=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,1,4
Current State: 93:[9, 7], Operations: ['17-15=2', '5+2=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 9+5=14, Resulting Numbers: [2, 14]
Generated Node #0,1,5: 93:[2, 14] Operation: 9+5=14
Moving to Node #0,1,5
Current State: 93:[2, 14], Operations: ['17-15=2', '9+5=14']
Exploring Operation: 2*14=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,1,5
Current State: 93:[2, 14], Operations: ['17-15=2', '9+5=14']
Exploring Operation: 14/2=7, Resulting Numbers: [7]
7,93 unequal: No Solution
Moving to Node #0,1,5
Current State: 93:[2, 14], Operations: ['17-15=2', '9+5=14']
Exploring Operation: 14-2=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,1,5
Current State: 93:[2, 14], Operations: ['17-15=2', '9+5=14']
Exploring Operation: 2+14=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 5*2=10, Resulting Numbers: [9, 10]
Generated Node #0,1,6: 93:[9, 10] Operation: 5*2=10
Moving to Node #0,1,6
Current State: 93:[9, 10], Operations: ['17-15=2', '5*2=10']
Exploring Operation: 10-9=1, Resulting Numbers: [1]
1,93 unequal: No Solution
Moving to Node #0,1,6
Current State: 93:[9, 10], Operations: ['17-15=2', '5*2=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Moving to Node #0,1,6
Current State: 93:[9, 10], Operations: ['17-15=2', '5*2=10']
Exploring Operation: 9+10=19, Resulting Numbers: [19]
19,93 unequal: No Solution
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 9*5=45, Resulting Numbers: [2, 45]
Generated Node #0,1,7: 93:[2, 45] Operation: 9*5=45
Moving to Node #0,1,7
Current State: 93:[2, 45], Operations: ['17-15=2', '9*5=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Moving to Node #0,1,7
Current State: 93:[2, 45], Operations: ['17-15=2', '9*5=45']
Exploring Operation: 45-2=43, Resulting Numbers: [43]
43,93 unequal: No Solution
Moving to Node #0,1,7
Current State: 93:[2, 45], Operations: ['17-15=2', '9*5=45']
Exploring Operation: 2+45=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Moving to Node #0,1
Current State: 93:[9, 5, 2], Operations: ['17-15=2']
Exploring Operation: 9*2=18, Resulting Numbers: [5, 18]
Generated Node #0,1,8: 93:[5, 18] Operation: 9*2=18
Moving to Node #0,1,8
Current State: 93:[5, 18], Operations: ['17-15=2', '9*2=18']
Exploring Operation: 5*18=90, Resulting Numbers: [90]
90,93 unequal: No Solution
Moving to Node #0,1,8
Current State: 93:[5, 18], Operations: ['17-15=2', '9*2=18']
Exploring Operation: 5+18=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Moving to Node #0,1,8
Current State: 93:[5, 18], Operations: ['17-15=2', '9*2=18']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 15-9=6, Resulting Numbers: [17, 5, 6]
Generated Node #0,2: 93:[17, 5, 6] Operation: 15-9=6
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 17+6=23, Resulting Numbers: [5, 23]
Generated Node #0,2,0: 93:[5, 23] Operation: 17+6=23
Moving to Node #0,2,0
Current State: 93:[5, 23], Operations: ['15-9=6', '17+6=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[5, 23], Operations: ['15-9=6', '17+6=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,2,0
Current State: 93:[5, 23], Operations: ['15-9=6', '17+6=23']
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,93 unequal: No Solution
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 17-6=11, Resulting Numbers: [5, 11]
Generated Node #0,2,1: 93:[5, 11] Operation: 17-6=11
Moving to Node #0,2,1
Current State: 93:[5, 11], Operations: ['15-9=6', '17-6=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[5, 11], Operations: ['15-9=6', '17-6=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,2,1
Current State: 93:[5, 11], Operations: ['15-9=6', '17-6=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 17*5=85, Resulting Numbers: [6, 85]
Generated Node #0,2,2: 93:[6, 85] Operation: 17*5=85
Moving to Node #0,2,2
Current State: 93:[6, 85], Operations: ['15-9=6', '17*5=85']
Exploring Operation: 6+85=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Moving to Node #0,2,2
Current State: 93:[6, 85], Operations: ['15-9=6', '17*5=85']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,93 unequal: No Solution
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 17*6=102, Resulting Numbers: [5, 102]
Generated Node #0,2,3: 93:[5, 102] Operation: 17*6=102
Moving to Node #0,2,3
Current State: 93:[5, 102], Operations: ['15-9=6', '17*6=102']
Exploring Operation: 102-5=97, Resulting Numbers: [97]
97,93 unequal: No Solution
Moving to Node #0,2,3
Current State: 93:[5, 102], Operations: ['15-9=6', '17*6=102']
Exploring Operation: 5+102=107, Resulting Numbers: [107]
107,93 unequal: No Solution
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 17+5=22, Resulting Numbers: [6, 22]
Generated Node #0,2,4: 93:[6, 22] Operation: 17+5=22
Moving to Node #0,2,4
Current State: 93:[6, 22], Operations: ['15-9=6', '17+5=22']
Exploring Operation: 6+22=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,2,4
Current State: 93:[6, 22], Operations: ['15-9=6', '17+5=22']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,2,4
Current State: 93:[6, 22], Operations: ['15-9=6', '17+5=22']
Exploring Operation: 6*22=132, Resulting Numbers: [132]
132,93 unequal: No Solution
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 17-5=12, Resulting Numbers: [6, 12]
Generated Node #0,2,5: 93:[6, 12] Operation: 17-5=12
Moving to Node #0,2,5
Current State: 93:[6, 12], Operations: ['15-9=6', '17-5=12']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,2,5
Current State: 93:[6, 12], Operations: ['15-9=6', '17-5=12']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,2,5
Current State: 93:[6, 12], Operations: ['15-9=6', '17-5=12']
Exploring Operation: 6+12=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,2,5
Current State: 93:[6, 12], Operations: ['15-9=6', '17-5=12']
Exploring Operation: 6*12=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 5*6=30, Resulting Numbers: [17, 30]
Generated Node #0,2,6: 93:[17, 30] Operation: 5*6=30
Moving to Node #0,2,6
Current State: 93:[17, 30], Operations: ['15-9=6', '5*6=30']
Exploring Operation: 30-17=13, Resulting Numbers: [13]
13,93 unequal: No Solution
Moving to Node #0,2,6
Current State: 93:[17, 30], Operations: ['15-9=6', '5*6=30']
Exploring Operation: 17+30=47, Resulting Numbers: [47]
47,93 unequal: No Solution
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 6-5=1, Resulting Numbers: [17, 1]
Generated Node #0,2,7: 93:[17, 1] Operation: 6-5=1
Moving to Node #0,2,7
Current State: 93:[17, 1], Operations: ['15-9=6', '6-5=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,2,7
Current State: 93:[17, 1], Operations: ['15-9=6', '6-5=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,2,7
Current State: 93:[17, 1], Operations: ['15-9=6', '6-5=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Moving to Node #0,2,7
Current State: 93:[17, 1], Operations: ['15-9=6', '6-5=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Moving to Node #0,2
Current State: 93:[17, 5, 6], Operations: ['15-9=6']
Exploring Operation: 5+6=11, Resulting Numbers: [17, 11]
Generated Node #0,2,8: 93:[17, 11] Operation: 5+6=11
Moving to Node #0,2,8
Current State: 93:[17, 11], Operations: ['15-9=6', '5+6=11']
Exploring Operation: 17+11=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,2,8
Current State: 93:[17, 11], Operations: ['15-9=6', '5+6=11']
Exploring Operation: 17-11=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 17+9=26, Resulting Numbers: [15, 5, 26]
Generated Node #0,3: 93:[15, 5, 26] Operation: 17+9=26
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 15/5=3, Resulting Numbers: [26, 3]
Generated Node #0,3,0: 93:[26, 3] Operation: 15/5=3
Moving to Node #0,3,0
Current State: 93:[26, 3], Operations: ['17+9=26', '15/5=3']
Exploring Operation: 26+3=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[26, 3], Operations: ['17+9=26', '15/5=3']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Moving to Node #0,3,0
Current State: 93:[26, 3], Operations: ['17+9=26', '15/5=3']
Exploring Operation: 26*3=78, Resulting Numbers: [78]
78,93 unequal: No Solution
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 26-15=11, Resulting Numbers: [5, 11]
Generated Node #0,3,1: 93:[5, 11] Operation: 26-15=11
Moving to Node #0,3,1
Current State: 93:[5, 11], Operations: ['17+9=26', '26-15=11']
Exploring Operation: 11-5=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[5, 11], Operations: ['17+9=26', '26-15=11']
Exploring Operation: 5+11=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,3,1
Current State: 93:[5, 11], Operations: ['17+9=26', '26-15=11']
Exploring Operation: 5*11=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 15-5=10, Resulting Numbers: [26, 10]
Generated Node #0,3,2: 93:[26, 10] Operation: 15-5=10
Moving to Node #0,3,2
Current State: 93:[26, 10], Operations: ['17+9=26', '15-5=10']
Exploring Operation: 26+10=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,3,2
Current State: 93:[26, 10], Operations: ['17+9=26', '15-5=10']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 15+26=41, Resulting Numbers: [5, 41]
Generated Node #0,3,3: 93:[5, 41] Operation: 15+26=41
Moving to Node #0,3,3
Current State: 93:[5, 41], Operations: ['17+9=26', '15+26=41']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,3,3
Current State: 93:[5, 41], Operations: ['17+9=26', '15+26=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 5+26=31, Resulting Numbers: [15, 31]
Generated Node #0,3,4: 93:[15, 31] Operation: 5+26=31
Moving to Node #0,3,4
Current State: 93:[15, 31], Operations: ['17+9=26', '5+26=31']
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,3,4
Current State: 93:[15, 31], Operations: ['17+9=26', '5+26=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 15+5=20, Resulting Numbers: [26, 20]
Generated Node #0,3,5: 93:[26, 20] Operation: 15+5=20
Moving to Node #0,3,5
Current State: 93:[26, 20], Operations: ['17+9=26', '15+5=20']
Exploring Operation: 26-20=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,3,5
Current State: 93:[26, 20], Operations: ['17+9=26', '15+5=20']
Exploring Operation: 26+20=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 26-5=21, Resulting Numbers: [15, 21]
Generated Node #0,3,6: 93:[15, 21] Operation: 26-5=21
Moving to Node #0,3,6
Current State: 93:[15, 21], Operations: ['17+9=26', '26-5=21']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,3,6
Current State: 93:[15, 21], Operations: ['17+9=26', '26-5=21']
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 15*5=75, Resulting Numbers: [26, 75]
Generated Node #0,3,7: 93:[26, 75] Operation: 15*5=75
Moving to Node #0,3,7
Current State: 93:[26, 75], Operations: ['17+9=26', '15*5=75']
Exploring Operation: 26+75=101, Resulting Numbers: [101]
101,93 unequal: No Solution
Moving to Node #0,3,7
Current State: 93:[26, 75], Operations: ['17+9=26', '15*5=75']
Exploring Operation: 75-26=49, Resulting Numbers: [49]
49,93 unequal: No Solution
Moving to Node #0,3
Current State: 93:[15, 5, 26], Operations: ['17+9=26']
Exploring Operation: 5*26=130, Resulting Numbers: [15, 130]
Generated Node #0,3,8: 93:[15, 130] Operation: 5*26=130
Moving to Node #0,3,8
Current State: 93:[15, 130], Operations: ['17+9=26', '5*26=130']
Exploring Operation: 130-15=115, Resulting Numbers: [115]
115,93 unequal: No Solution
Moving to Node #0,3,8
Current State: 93:[15, 130], Operations: ['17+9=26', '5*26=130']
Exploring Operation: 15+130=145, Resulting Numbers: [145]
145,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 17-9=8, Resulting Numbers: [15, 5, 8]
Generated Node #0,4: 93:[15, 5, 8] Operation: 17-9=8
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 15/5=3, Resulting Numbers: [8, 3]
Generated Node #0,4,0: 93:[8, 3] Operation: 15/5=3
Moving to Node #0,4,0
Current State: 93:[8, 3], Operations: ['17-9=8', '15/5=3']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[8, 3], Operations: ['17-9=8', '15/5=3']
Exploring Operation: 8*3=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Moving to Node #0,4,0
Current State: 93:[8, 3], Operations: ['17-9=8', '15/5=3']
Exploring Operation: 8+3=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 15-8=7, Resulting Numbers: [5, 7]
Generated Node #0,4,1: 93:[5, 7] Operation: 15-8=7
Moving to Node #0,4,1
Current State: 93:[5, 7], Operations: ['17-9=8', '15-8=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,4,1
Current State: 93:[5, 7], Operations: ['17-9=8', '15-8=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Moving to Node #0,4,1
Current State: 93:[5, 7], Operations: ['17-9=8', '15-8=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 15+8=23, Resulting Numbers: [5, 23]
Generated Node #0,4,2: 93:[5, 23] Operation: 15+8=23
Moving to Node #0,4,2
Current State: 93:[5, 23], Operations: ['17-9=8', '15+8=23']
Exploring Operation: 5+23=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,4,2
Current State: 93:[5, 23], Operations: ['17-9=8', '15+8=23']
Exploring Operation: 23-5=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,4,2
Current State: 93:[5, 23], Operations: ['17-9=8', '15+8=23']
Exploring Operation: 5*23=115, Resulting Numbers: [115]
115,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 15-5=10, Resulting Numbers: [8, 10]
Generated Node #0,4,3: 93:[8, 10] Operation: 15-5=10
Moving to Node #0,4,3
Current State: 93:[8, 10], Operations: ['17-9=8', '15-5=10']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,4,3
Current State: 93:[8, 10], Operations: ['17-9=8', '15-5=10']
Exploring Operation: 8+10=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,4,3
Current State: 93:[8, 10], Operations: ['17-9=8', '15-5=10']
Exploring Operation: 8*10=80, Resulting Numbers: [80]
80,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 8-5=3, Resulting Numbers: [15, 3]
Generated Node #0,4,4: 93:[15, 3] Operation: 8-5=3
Moving to Node #0,4,4
Current State: 93:[15, 3], Operations: ['17-9=8', '8-5=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[15, 3], Operations: ['17-9=8', '8-5=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[15, 3], Operations: ['17-9=8', '8-5=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,4,4
Current State: 93:[15, 3], Operations: ['17-9=8', '8-5=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 15+5=20, Resulting Numbers: [8, 20]
Generated Node #0,4,5: 93:[8, 20] Operation: 15+5=20
Moving to Node #0,4,5
Current State: 93:[8, 20], Operations: ['17-9=8', '15+5=20']
Exploring Operation: 8+20=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,4,5
Current State: 93:[8, 20], Operations: ['17-9=8', '15+5=20']
Exploring Operation: 20-8=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,4,5
Current State: 93:[8, 20], Operations: ['17-9=8', '15+5=20']
Exploring Operation: 8*20=160, Resulting Numbers: [160]
160,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 5*8=40, Resulting Numbers: [15, 40]
Generated Node #0,4,6: 93:[15, 40] Operation: 5*8=40
Moving to Node #0,4,6
Current State: 93:[15, 40], Operations: ['17-9=8', '5*8=40']
Exploring Operation: 40-15=25, Resulting Numbers: [25]
25,93 unequal: No Solution
Moving to Node #0,4,6
Current State: 93:[15, 40], Operations: ['17-9=8', '5*8=40']
Exploring Operation: 15+40=55, Resulting Numbers: [55]
55,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 5+8=13, Resulting Numbers: [15, 13]
Generated Node #0,4,7: 93:[15, 13] Operation: 5+8=13
Moving to Node #0,4,7
Current State: 93:[15, 13], Operations: ['17-9=8', '5+8=13']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,4,7
Current State: 93:[15, 13], Operations: ['17-9=8', '5+8=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 15*5=75, Resulting Numbers: [8, 75]
Generated Node #0,4,8: 93:[8, 75] Operation: 15*5=75
Moving to Node #0,4,8
Current State: 93:[8, 75], Operations: ['17-9=8', '15*5=75']
Exploring Operation: 8+75=83, Resulting Numbers: [83]
83,93 unequal: No Solution
Moving to Node #0,4,8
Current State: 93:[8, 75], Operations: ['17-9=8', '15*5=75']
Exploring Operation: 75-8=67, Resulting Numbers: [67]
67,93 unequal: No Solution
Moving to Node #0,4
Current State: 93:[15, 5, 8], Operations: ['17-9=8']
Exploring Operation: 15*8=120, Resulting Numbers: [5, 120]
Generated Node #0,4,9: 93:[5, 120] Operation: 15*8=120
Moving to Node #0,4,9
Current State: 93:[5, 120], Operations: ['17-9=8', '15*8=120']
Exploring Operation: 120/5=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Moving to Node #0,4,9
Current State: 93:[5, 120], Operations: ['17-9=8', '15*8=120']
Exploring Operation: 120-5=115, Resulting Numbers: [115]
115,93 unequal: No Solution
Moving to Node #0,4,9
Current State: 93:[5, 120], Operations: ['17-9=8', '15*8=120']
Exploring Operation: 5+120=125, Resulting Numbers: [125]
125,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 15/5=3, Resulting Numbers: [17, 9, 3]
Generated Node #0,5: 93:[17, 9, 3] Operation: 15/5=3
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 17+9=26, Resulting Numbers: [3, 26]
Generated Node #0,5,0: 93:[3, 26] Operation: 17+9=26
Moving to Node #0,5,0
Current State: 93:[3, 26], Operations: ['15/5=3', '17+9=26']
Exploring Operation: 3+26=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Moving to Node #0,5,0
Current State: 93:[3, 26], Operations: ['15/5=3', '17+9=26']
Exploring Operation: 26-3=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Moving to Node #0,5,0
Current State: 93:[3, 26], Operations: ['15/5=3', '17+9=26']
Exploring Operation: 3*26=78, Resulting Numbers: [78]
78,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 17-9=8, Resulting Numbers: [3, 8]
Generated Node #0,5,1: 93:[3, 8] Operation: 17-9=8
Moving to Node #0,5,1
Current State: 93:[3, 8], Operations: ['15/5=3', '17-9=8']
Exploring Operation: 8-3=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,5,1
Current State: 93:[3, 8], Operations: ['15/5=3', '17-9=8']
Exploring Operation: 3*8=24, Resulting Numbers: [24]
24,93 unequal: No Solution
Moving to Node #0,5,1
Current State: 93:[3, 8], Operations: ['15/5=3', '17-9=8']
Exploring Operation: 3+8=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 9/3=3, Resulting Numbers: [17, 3]
Generated Node #0,5,2: 93:[17, 3] Operation: 9/3=3
Moving to Node #0,5,2
Current State: 93:[17, 3], Operations: ['15/5=3', '9/3=3']
Exploring Operation: 17+3=20, Resulting Numbers: [20]
20,93 unequal: No Solution
Moving to Node #0,5,2
Current State: 93:[17, 3], Operations: ['15/5=3', '9/3=3']
Exploring Operation: 17-3=14, Resulting Numbers: [14]
14,93 unequal: No Solution
Moving to Node #0,5,2
Current State: 93:[17, 3], Operations: ['15/5=3', '9/3=3']
Exploring Operation: 17*3=51, Resulting Numbers: [51]
51,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 17+3=20, Resulting Numbers: [9, 20]
Generated Node #0,5,3: 93:[9, 20] Operation: 17+3=20
Moving to Node #0,5,3
Current State: 93:[9, 20], Operations: ['15/5=3', '17+3=20']
Exploring Operation: 9+20=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Moving to Node #0,5,3
Current State: 93:[9, 20], Operations: ['15/5=3', '17+3=20']
Exploring Operation: 20-9=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Moving to Node #0,5,3
Current State: 93:[9, 20], Operations: ['15/5=3', '17+3=20']
Exploring Operation: 9*20=180, Resulting Numbers: [180]
180,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 17-3=14, Resulting Numbers: [9, 14]
Generated Node #0,5,4: 93:[9, 14] Operation: 17-3=14
Moving to Node #0,5,4
Current State: 93:[9, 14], Operations: ['15/5=3', '17-3=14']
Exploring Operation: 14-9=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,5,4
Current State: 93:[9, 14], Operations: ['15/5=3', '17-3=14']
Exploring Operation: 9+14=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Moving to Node #0,5,4
Current State: 93:[9, 14], Operations: ['15/5=3', '17-3=14']
Exploring Operation: 9*14=126, Resulting Numbers: [126]
126,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 9-3=6, Resulting Numbers: [17, 6]
Generated Node #0,5,5: 93:[17, 6] Operation: 9-3=6
Moving to Node #0,5,5
Current State: 93:[17, 6], Operations: ['15/5=3', '9-3=6']
Exploring Operation: 17+6=23, Resulting Numbers: [23]
23,93 unequal: No Solution
Moving to Node #0,5,5
Current State: 93:[17, 6], Operations: ['15/5=3', '9-3=6']
Exploring Operation: 17-6=11, Resulting Numbers: [11]
11,93 unequal: No Solution
Moving to Node #0,5,5
Current State: 93:[17, 6], Operations: ['15/5=3', '9-3=6']
Exploring Operation: 17*6=102, Resulting Numbers: [102]
102,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 9*3=27, Resulting Numbers: [17, 27]
Generated Node #0,5,6: 93:[17, 27] Operation: 9*3=27
Moving to Node #0,5,6
Current State: 93:[17, 27], Operations: ['15/5=3', '9*3=27']
Exploring Operation: 27-17=10, Resulting Numbers: [10]
10,93 unequal: No Solution
Moving to Node #0,5,6
Current State: 93:[17, 27], Operations: ['15/5=3', '9*3=27']
Exploring Operation: 17+27=44, Resulting Numbers: [44]
44,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 9+3=12, Resulting Numbers: [17, 12]
Generated Node #0,5,7: 93:[17, 12] Operation: 9+3=12
Moving to Node #0,5,7
Current State: 93:[17, 12], Operations: ['15/5=3', '9+3=12']
Exploring Operation: 17+12=29, Resulting Numbers: [29]
29,93 unequal: No Solution
Moving to Node #0,5,7
Current State: 93:[17, 12], Operations: ['15/5=3', '9+3=12']
Exploring Operation: 17-12=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 17*3=51, Resulting Numbers: [9, 51]
Generated Node #0,5,8: 93:[9, 51] Operation: 17*3=51
Moving to Node #0,5,8
Current State: 93:[9, 51], Operations: ['15/5=3', '17*3=51']
Exploring Operation: 51-9=42, Resulting Numbers: [42]
42,93 unequal: No Solution
Moving to Node #0,5,8
Current State: 93:[9, 51], Operations: ['15/5=3', '17*3=51']
Exploring Operation: 9+51=60, Resulting Numbers: [60]
60,93 unequal: No Solution
Moving to Node #0,5
Current State: 93:[17, 9, 3], Operations: ['15/5=3']
Exploring Operation: 17*9=153, Resulting Numbers: [3, 153]
Generated Node #0,5,9: 93:[3, 153] Operation: 17*9=153
Moving to Node #0,5,9
Current State: 93:[3, 153], Operations: ['15/5=3', '17*9=153']
Exploring Operation: 153/3=51, Resulting Numbers: [51]
51,93 unequal: No Solution
Moving to Node #0,5,9
Current State: 93:[3, 153], Operations: ['15/5=3', '17*9=153']
Exploring Operation: 153-3=150, Resulting Numbers: [150]
150,93 unequal: No Solution
Moving to Node #0,5,9
Current State: 93:[3, 153], Operations: ['15/5=3', '17*9=153']
Exploring Operation: 3+153=156, Resulting Numbers: [156]
156,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 15+9=24, Resulting Numbers: [17, 5, 24]
Generated Node #0,6: 93:[17, 5, 24] Operation: 15+9=24
Moving to Node #0,6
Current State: 93:[17, 5, 24], Operations: ['15+9=24']
Exploring Operation: 24-17=7, Resulting Numbers: [5, 7]
Generated Node #0,6,0: 93:[5, 7] Operation: 24-17=7
Moving to Node #0,6,0
Current State: 93:[5, 7], Operations: ['15+9=24', '24-17=7']
Exploring Operation: 7-5=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,6,0
Current State: 93:[5, 7], Operations: ['15+9=24', '24-17=7']
Exploring Operation: 5*7=35, Resulting Numbers: [35]
35,93 unequal: No Solution
Moving to Node #0,6,0
Current State: 93:[5, 7], Operations: ['15+9=24', '24-17=7']
Exploring Operation: 5+7=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,6
Current State: 93:[17, 5, 24], Operations: ['15+9=24']
Exploring Operation: 17+24=41, Resulting Numbers: [5, 41]
Generated Node #0,6,1: 93:[5, 41] Operation: 17+24=41
Moving to Node #0,6,1
Current State: 93:[5, 41], Operations: ['15+9=24', '17+24=41']
Exploring Operation: 41-5=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,6,1
Current State: 93:[5, 41], Operations: ['15+9=24', '17+24=41']
Exploring Operation: 5+41=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,6
Current State: 93:[17, 5, 24], Operations: ['15+9=24']
Exploring Operation: 17*5=85, Resulting Numbers: [24, 85]
Generated Node #0,6,2: 93:[24, 85] Operation: 17*5=85
Moving to Node #0,6,2
Current State: 93:[24, 85], Operations: ['15+9=24', '17*5=85']
Exploring Operation: 24+85=109, Resulting Numbers: [109]
109,93 unequal: No Solution
Moving to Node #0,6,2
Current State: 93:[24, 85], Operations: ['15+9=24', '17*5=85']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,93 unequal: No Solution
Moving to Node #0,6
Current State: 93:[17, 5, 24], Operations: ['15+9=24']
Exploring Operation: 17+5=22, Resulting Numbers: [24, 22]
Generated Node #0,6,3: 93:[24, 22] Operation: 17+5=22
Moving to Node #0,6,3
Current State: 93:[24, 22], Operations: ['15+9=24', '17+5=22']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,6,3
Current State: 93:[24, 22], Operations: ['15+9=24', '17+5=22']
Exploring Operation: 24+22=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,6
Current State: 93:[17, 5, 24], Operations: ['15+9=24']
Exploring Operation: 17-5=12, Resulting Numbers: [24, 12]
Generated Node #0,6,4: 93:[24, 12] Operation: 17-5=12
Moving to Node #0,6,4
Current State: 93:[24, 12], Operations: ['15+9=24', '17-5=12']
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,6,4
Current State: 93:[24, 12], Operations: ['15+9=24', '17-5=12']
Exploring Operation: 24+12=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,6,4
Current State: 93:[24, 12], Operations: ['15+9=24', '17-5=12']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,6
Current State: 93:[17, 5, 24], Operations: ['15+9=24']
Exploring Operation: 5+24=29, Resulting Numbers: [17, 29]
Generated Node #0,6,5: 93:[17, 29] Operation: 5+24=29
Moving to Node #0,6,5
Current State: 93:[17, 29], Operations: ['15+9=24', '5+24=29']
Exploring Operation: 29-17=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,6,5
Current State: 93:[17, 29], Operations: ['15+9=24', '5+24=29']
Exploring Operation: 17+29=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,6
Current State: 93:[17, 5, 24], Operations: ['15+9=24']
Exploring Operation: 24-5=19, Resulting Numbers: [17, 19]
Generated Node #0,6,6: 93:[17, 19] Operation: 24-5=19
Moving to Node #0,6,6
Current State: 93:[17, 19], Operations: ['15+9=24', '24-5=19']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,6,6
Current State: 93:[17, 19], Operations: ['15+9=24', '24-5=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,6
Current State: 93:[17, 5, 24], Operations: ['15+9=24']
Exploring Operation: 5*24=120, Resulting Numbers: [17, 120]
Generated Node #0,6,7: 93:[17, 120] Operation: 5*24=120
Moving to Node #0,6,7
Current State: 93:[17, 120], Operations: ['15+9=24', '5*24=120']
Exploring Operation: 120-17=103, Resulting Numbers: [103]
103,93 unequal: No Solution
Moving to Node #0,6,7
Current State: 93:[17, 120], Operations: ['15+9=24', '5*24=120']
Exploring Operation: 17+120=137, Resulting Numbers: [137]
137,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 17*5=85, Resulting Numbers: [15, 9, 85]
Generated Node #0,7: 93:[15, 9, 85] Operation: 17*5=85
Moving to Node #0,7
Current State: 93:[15, 9, 85], Operations: ['17*5=85']
Exploring Operation: 15-9=6, Resulting Numbers: [85, 6]
Generated Node #0,7,0: 93:[85, 6] Operation: 15-9=6
Moving to Node #0,7,0
Current State: 93:[85, 6], Operations: ['17*5=85', '15-9=6']
Exploring Operation: 85+6=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Moving to Node #0,7,0
Current State: 93:[85, 6], Operations: ['17*5=85', '15-9=6']
Exploring Operation: 85-6=79, Resulting Numbers: [79]
79,93 unequal: No Solution
Moving to Node #0,7
Current State: 93:[15, 9, 85], Operations: ['17*5=85']
Exploring Operation: 15+85=100, Resulting Numbers: [9, 100]
Generated Node #0,7,1: 93:[9, 100] Operation: 15+85=100
Moving to Node #0,7,1
Current State: 93:[9, 100], Operations: ['17*5=85', '15+85=100']
Exploring Operation: 100-9=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Moving to Node #0,7,1
Current State: 93:[9, 100], Operations: ['17*5=85', '15+85=100']
Exploring Operation: 9+100=109, Resulting Numbers: [109]
109,93 unequal: No Solution
Moving to Node #0,7
Current State: 93:[15, 9, 85], Operations: ['17*5=85']
Exploring Operation: 9+85=94, Resulting Numbers: [15, 94]
Generated Node #0,7,2: 93:[15, 94] Operation: 9+85=94
Moving to Node #0,7,2
Current State: 93:[15, 94], Operations: ['17*5=85', '9+85=94']
Exploring Operation: 94-15=79, Resulting Numbers: [79]
79,93 unequal: No Solution
Moving to Node #0,7,2
Current State: 93:[15, 94], Operations: ['17*5=85', '9+85=94']
Exploring Operation: 15+94=109, Resulting Numbers: [109]
109,93 unequal: No Solution
Moving to Node #0,7
Current State: 93:[15, 9, 85], Operations: ['17*5=85']
Exploring Operation: 15+9=24, Resulting Numbers: [85, 24]
Generated Node #0,7,3: 93:[85, 24] Operation: 15+9=24
Moving to Node #0,7,3
Current State: 93:[85, 24], Operations: ['17*5=85', '15+9=24']
Exploring Operation: 85+24=109, Resulting Numbers: [109]
109,93 unequal: No Solution
Moving to Node #0,7,3
Current State: 93:[85, 24], Operations: ['17*5=85', '15+9=24']
Exploring Operation: 85-24=61, Resulting Numbers: [61]
61,93 unequal: No Solution
Moving to Node #0,7
Current State: 93:[15, 9, 85], Operations: ['17*5=85']
Exploring Operation: 85-15=70, Resulting Numbers: [9, 70]
Generated Node #0,7,4: 93:[9, 70] Operation: 85-15=70
Moving to Node #0,7,4
Current State: 93:[9, 70], Operations: ['17*5=85', '85-15=70']
Exploring Operation: 9+70=79, Resulting Numbers: [79]
79,93 unequal: No Solution
Moving to Node #0,7,4
Current State: 93:[9, 70], Operations: ['17*5=85', '85-15=70']
Exploring Operation: 70-9=61, Resulting Numbers: [61]
61,93 unequal: No Solution
Moving to Node #0,7
Current State: 93:[15, 9, 85], Operations: ['17*5=85']
Exploring Operation: 85-9=76, Resulting Numbers: [15, 76]
Generated Node #0,7,5: 93:[15, 76] Operation: 85-9=76
Moving to Node #0,7,5
Current State: 93:[15, 76], Operations: ['17*5=85', '85-9=76']
Exploring Operation: 15+76=91, Resulting Numbers: [91]
91,93 unequal: No Solution
Moving to Node #0,7,5
Current State: 93:[15, 76], Operations: ['17*5=85', '85-9=76']
Exploring Operation: 76-15=61, Resulting Numbers: [61]
61,93 unequal: No Solution
Moving to Node #0,7
Current State: 93:[15, 9, 85], Operations: ['17*5=85']
Exploring Operation: 15*9=135, Resulting Numbers: [85, 135]
Generated Node #0,7,6: 93:[85, 135] Operation: 15*9=135
Moving to Node #0,7,6
Current State: 93:[85, 135], Operations: ['17*5=85', '15*9=135']
Exploring Operation: 135-85=50, Resulting Numbers: [50]
50,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 15-5=10, Resulting Numbers: [17, 9, 10]
Generated Node #0,8: 93:[17, 9, 10] Operation: 15-5=10
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 17+10=27, Resulting Numbers: [9, 27]
Generated Node #0,8,0: 93:[9, 27] Operation: 17+10=27
Moving to Node #0,8,0
Current State: 93:[9, 27], Operations: ['15-5=10', '17+10=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,8,0
Current State: 93:[9, 27], Operations: ['15-5=10', '17+10=27']
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,8,0
Current State: 93:[9, 27], Operations: ['15-5=10', '17+10=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 17-10=7, Resulting Numbers: [9, 7]
Generated Node #0,8,1: 93:[9, 7] Operation: 17-10=7
Moving to Node #0,8,1
Current State: 93:[9, 7], Operations: ['15-5=10', '17-10=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,8,1
Current State: 93:[9, 7], Operations: ['15-5=10', '17-10=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,8,1
Current State: 93:[9, 7], Operations: ['15-5=10', '17-10=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 17+9=26, Resulting Numbers: [10, 26]
Generated Node #0,8,2: 93:[10, 26] Operation: 17+9=26
Moving to Node #0,8,2
Current State: 93:[10, 26], Operations: ['15-5=10', '17+9=26']
Exploring Operation: 10+26=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,8,2
Current State: 93:[10, 26], Operations: ['15-5=10', '17+9=26']
Exploring Operation: 26-10=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 17-9=8, Resulting Numbers: [10, 8]
Generated Node #0,8,3: 93:[10, 8] Operation: 17-9=8
Moving to Node #0,8,3
Current State: 93:[10, 8], Operations: ['15-5=10', '17-9=8']
Exploring Operation: 10-8=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,8,3
Current State: 93:[10, 8], Operations: ['15-5=10', '17-9=8']
Exploring Operation: 10+8=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,8,3
Current State: 93:[10, 8], Operations: ['15-5=10', '17-9=8']
Exploring Operation: 10*8=80, Resulting Numbers: [80]
80,93 unequal: No Solution
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 10-9=1, Resulting Numbers: [17, 1]
Generated Node #0,8,4: 93:[17, 1] Operation: 10-9=1
Moving to Node #0,8,4
Current State: 93:[17, 1], Operations: ['15-5=10', '10-9=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,8,4
Current State: 93:[17, 1], Operations: ['15-5=10', '10-9=1']
Exploring Operation: 17-1=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,8,4
Current State: 93:[17, 1], Operations: ['15-5=10', '10-9=1']
Exploring Operation: 17*1=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Moving to Node #0,8,4
Current State: 93:[17, 1], Operations: ['15-5=10', '10-9=1']
Exploring Operation: 17/1=17, Resulting Numbers: [17]
17,93 unequal: No Solution
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 9*10=90, Resulting Numbers: [17, 90]
Generated Node #0,8,5: 93:[17, 90] Operation: 9*10=90
Moving to Node #0,8,5
Current State: 93:[17, 90], Operations: ['15-5=10', '9*10=90']
Exploring Operation: 17+90=107, Resulting Numbers: [107]
107,93 unequal: No Solution
Moving to Node #0,8,5
Current State: 93:[17, 90], Operations: ['15-5=10', '9*10=90']
Exploring Operation: 90-17=73, Resulting Numbers: [73]
73,93 unequal: No Solution
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 9+10=19, Resulting Numbers: [17, 19]
Generated Node #0,8,6: 93:[17, 19] Operation: 9+10=19
Moving to Node #0,8,6
Current State: 93:[17, 19], Operations: ['15-5=10', '9+10=19']
Exploring Operation: 19-17=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,8,6
Current State: 93:[17, 19], Operations: ['15-5=10', '9+10=19']
Exploring Operation: 17+19=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 17*9=153, Resulting Numbers: [10, 153]
Generated Node #0,8,7: 93:[10, 153] Operation: 17*9=153
Moving to Node #0,8,7
Current State: 93:[10, 153], Operations: ['15-5=10', '17*9=153']
Exploring Operation: 153-10=143, Resulting Numbers: [143]
143,93 unequal: No Solution
Moving to Node #0,8,7
Current State: 93:[10, 153], Operations: ['15-5=10', '17*9=153']
Exploring Operation: 10+153=163, Resulting Numbers: [163]
163,93 unequal: No Solution
Moving to Node #0,8
Current State: 93:[17, 9, 10], Operations: ['15-5=10']
Exploring Operation: 17*10=170, Resulting Numbers: [9, 170]
Generated Node #0,8,8: 93:[9, 170] Operation: 17*10=170
Moving to Node #0,8,8
Current State: 93:[9, 170], Operations: ['15-5=10', '17*10=170']
Exploring Operation: 170-9=161, Resulting Numbers: [161]
161,93 unequal: No Solution
Moving to Node #0,8,8
Current State: 93:[9, 170], Operations: ['15-5=10', '17*10=170']
Exploring Operation: 9+170=179, Resulting Numbers: [179]
179,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 17+5=22, Resulting Numbers: [15, 9, 22]
Generated Node #0,9: 93:[15, 9, 22] Operation: 17+5=22
Moving to Node #0,9
Current State: 93:[15, 9, 22], Operations: ['17+5=22']
Exploring Operation: 22-15=7, Resulting Numbers: [9, 7]
Generated Node #0,9,0: 93:[9, 7] Operation: 22-15=7
Moving to Node #0,9,0
Current State: 93:[9, 7], Operations: ['17+5=22', '22-15=7']
Exploring Operation: 9-7=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,9,0
Current State: 93:[9, 7], Operations: ['17+5=22', '22-15=7']
Exploring Operation: 9+7=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,9,0
Current State: 93:[9, 7], Operations: ['17+5=22', '22-15=7']
Exploring Operation: 9*7=63, Resulting Numbers: [63]
63,93 unequal: No Solution
Moving to Node #0,9
Current State: 93:[15, 9, 22], Operations: ['17+5=22']
Exploring Operation: 15-9=6, Resulting Numbers: [22, 6]
Generated Node #0,9,1: 93:[22, 6] Operation: 15-9=6
Moving to Node #0,9,1
Current State: 93:[22, 6], Operations: ['17+5=22', '15-9=6']
Exploring Operation: 22+6=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,9,1
Current State: 93:[22, 6], Operations: ['17+5=22', '15-9=6']
Exploring Operation: 22-6=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,9,1
Current State: 93:[22, 6], Operations: ['17+5=22', '15-9=6']
Exploring Operation: 22*6=132, Resulting Numbers: [132]
132,93 unequal: No Solution
Moving to Node #0,9
Current State: 93:[15, 9, 22], Operations: ['17+5=22']
Exploring Operation: 15+22=37, Resulting Numbers: [9, 37]
Generated Node #0,9,2: 93:[9, 37] Operation: 15+22=37
Moving to Node #0,9,2
Current State: 93:[9, 37], Operations: ['17+5=22', '15+22=37']
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,9,2
Current State: 93:[9, 37], Operations: ['17+5=22', '15+22=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,9
Current State: 93:[15, 9, 22], Operations: ['17+5=22']
Exploring Operation: 9+22=31, Resulting Numbers: [15, 31]
Generated Node #0,9,3: 93:[15, 31] Operation: 9+22=31
Moving to Node #0,9,3
Current State: 93:[15, 31], Operations: ['17+5=22', '9+22=31']
Exploring Operation: 31-15=16, Resulting Numbers: [16]
16,93 unequal: No Solution
Moving to Node #0,9,3
Current State: 93:[15, 31], Operations: ['17+5=22', '9+22=31']
Exploring Operation: 15+31=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,9
Current State: 93:[15, 9, 22], Operations: ['17+5=22']
Exploring Operation: 15+9=24, Resulting Numbers: [22, 24]
Generated Node #0,9,4: 93:[22, 24] Operation: 15+9=24
Moving to Node #0,9,4
Current State: 93:[22, 24], Operations: ['17+5=22', '15+9=24']
Exploring Operation: 24-22=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,9,4
Current State: 93:[22, 24], Operations: ['17+5=22', '15+9=24']
Exploring Operation: 22+24=46, Resulting Numbers: [46]
46,93 unequal: No Solution
Moving to Node #0,9
Current State: 93:[15, 9, 22], Operations: ['17+5=22']
Exploring Operation: 22-9=13, Resulting Numbers: [15, 13]
Generated Node #0,9,5: 93:[15, 13] Operation: 22-9=13
Moving to Node #0,9,5
Current State: 93:[15, 13], Operations: ['17+5=22', '22-9=13']
Exploring Operation: 15-13=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,9,5
Current State: 93:[15, 13], Operations: ['17+5=22', '22-9=13']
Exploring Operation: 15+13=28, Resulting Numbers: [28]
28,93 unequal: No Solution
Moving to Node #0,9
Current State: 93:[15, 9, 22], Operations: ['17+5=22']
Exploring Operation: 15*9=135, Resulting Numbers: [22, 135]
Generated Node #0,9,6: 93:[22, 135] Operation: 15*9=135
Moving to Node #0,9,6
Current State: 93:[22, 135], Operations: ['17+5=22', '15*9=135']
Exploring Operation: 135-22=113, Resulting Numbers: [113]
113,93 unequal: No Solution
Moving to Node #0,9,6
Current State: 93:[22, 135], Operations: ['17+5=22', '15*9=135']
Exploring Operation: 22+135=157, Resulting Numbers: [157]
157,93 unequal: No Solution
Moving to Node #0
Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 17-5=12, Resulting Numbers: [15, 9, 12]
Generated Node #0,10: 93:[15, 9, 12] Operation: 17-5=12
Moving to Node #0,10
Current State: 93:[15, 9, 12], Operations: ['17-5=12']
Exploring Operation: 15-12=3, Resulting Numbers: [9, 3]
Generated Node #0,10,0: 93:[9, 3] Operation: 15-12=3
Moving to Node #0,10,0
Current State: 93:[9, 3], Operations: ['17-5=12', '15-12=3']
Exploring Operation: 9/3=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,10,0
Current State: 93:[9, 3], Operations: ['17-5=12', '15-12=3']
Exploring Operation: 9-3=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,10,0
Current State: 93:[9, 3], Operations: ['17-5=12', '15-12=3']
Exploring Operation: 9*3=27, Resulting Numbers: [27]
27,93 unequal: No Solution
Moving to Node #0,10,0
Current State: 93:[9, 3], Operations: ['17-5=12', '15-12=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,10
Current State: 93:[15, 9, 12], Operations: ['17-5=12']
Exploring Operation: 15+12=27, Resulting Numbers: [9, 27]
Generated Node #0,10,1: 93:[9, 27] Operation: 15+12=27
Moving to Node #0,10,1
Current State: 93:[9, 27], Operations: ['17-5=12', '15+12=27']
Exploring Operation: 27/9=3, Resulting Numbers: [3]
3,93 unequal: No Solution
Moving to Node #0,10,1
Current State: 93:[9, 27], Operations: ['17-5=12', '15+12=27']
Exploring Operation: 9+27=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,10,1
Current State: 93:[9, 27], Operations: ['17-5=12', '15+12=27']
Exploring Operation: 27-9=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,10
Current State: 93:[15, 9, 12], Operations: ['17-5=12']
Exploring Operation: 15-9=6, Resulting Numbers: [12, 6]
Generated Node #0,10,2: 93:[12, 6] Operation: 15-9=6
Moving to Node #0,10,2
Current State: 93:[12, 6], Operations: ['17-5=12', '15-9=6']
Exploring Operation: 12/6=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,10,2
Current State: 93:[12, 6], Operations: ['17-5=12', '15-9=6']
Exploring Operation: 12-6=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,10,2
Current State: 93:[12, 6], Operations: ['17-5=12', '15-9=6']
Exploring Operation: 12+6=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,10,2
Current State: 93:[12, 6], Operations: ['17-5=12', '15-9=6']
Exploring Operation: 12*6=72, Resulting Numbers: [72]
72,93 unequal: No Solution
Moving to Node #0,10
Current State: 93:[15, 9, 12], Operations: ['17-5=12']
Exploring Operation: 12-9=3, Resulting Numbers: [15, 3]
Generated Node #0,10,3: 93:[15, 3] Operation: 12-9=3
Moving to Node #0,10,3
Current State: 93:[15, 3], Operations: ['17-5=12', '12-9=3']
Exploring Operation: 15/3=5, Resulting Numbers: [5]
5,93 unequal: No Solution
Moving to Node #0,10,3
Current State: 93:[15, 3], Operations: ['17-5=12', '12-9=3']
Exploring Operation: 15-3=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,10,3
Current State: 93:[15, 3], Operations: ['17-5=12', '12-9=3']
Exploring Operation: 15+3=18, Resulting Numbers: [18]
18,93 unequal: No Solution
Moving to Node #0,10,3
Current State: 93:[15, 3], Operations: ['17-5=12', '12-9=3']
Exploring Operation: 15*3=45, Resulting Numbers: [45]
45,93 unequal: No Solution
Moving to Node #0,10
Current State: 93:[15, 9, 12], Operations: ['17-5=12']
Exploring Operation: 15+9=24, Resulting Numbers: [12, 24]
Generated Node #0,10,4: 93:[12, 24] Operation: 15+9=24
Moving to Node #0,10,4
Current State: 93:[12, 24], Operations: ['17-5=12', '15+9=24']
Exploring Operation: 24/12=2, Resulting Numbers: [2]
2,93 unequal: No Solution
Moving to Node #0,10,4
Current State: 93:[12, 24], Operations: ['17-5=12', '15+9=24']
Exploring Operation: 12+24=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,10,4
Current State: 93:[12, 24], Operations: ['17-5=12', '15+9=24']
Exploring Operation: 24-12=12, Resulting Numbers: [12]
12,93 unequal: No Solution
Moving to Node #0,10
Current State: 93:[15, 9, 12], Operations: ['17-5=12']
Exploring Operation: 9+12=21, Resulting Numbers: [15, 21]
Generated Node #0,10,5: 93:[15, 21] Operation: 9+12=21
Moving to Node #0,10,5
Current State: 93:[15, 21], Operations: ['17-5=12', '9+12=21']
Exploring Operation: 21-15=6, Resulting Numbers: [6]
6,93 unequal: No Solution
Moving to Node #0,10,5
Current State: 93:[15, 21], Operations: ['17-5=12', '9+12=21']
Exploring Operation: 15+21=36, Resulting Numbers: [36]
36,93 unequal: No Solution
Moving to Node #0,10
Current State: 93:[15, 9, 12], Operations: ['17-5=12']
Exploring Operation: 9*12=108, Resulting Numbers: [15, 108]
Generated Node #0,10,6: 93:[15, 108] Operation: 9*12=108
Moving to Node #0,10,6
Current State: 93:[15, 108], Operations: ['17-5=12', '9*12=108']
Exploring Operation: 108-15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 0.699653 | dfs | Current State: 93:[15, 17, 9, 5], Operations: []
Exploring Operation: 17-5=12, Resulting Numbers: [15, 9, 12]
Generated Node #2: [15, 9, 12] from Operation: 17-5=12
Current State: 93:[15, 9, 12], Operations: ['17-5=12']
Exploring Operation: 9*12=108, Resulting Numbers: [15, 108]
Generated Node #3: [15, 108] from Operation: 9*12=108
Current State: 93:[15, 108], Operations: ['17-5=12', '9*12=108']
Exploring Operation: 108-15=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| mult_heuristic |
[
3,
9,
10,
50
] | 29 | [
"3*10=30",
"9+50=59",
"59-30=29"
] | Current State: 29:[3, 9, 10, 50], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [9, 50, 30]
Generated Node #0,0: 29:[9, 50, 30] Operation: 3*10=30
Exploring Operation: 3*9=27, Resulting Numbers: [10, 50, 27]
Generated Node #0,1: 29:[10, 50, 27] Operation: 3*9=27
Exploring Operation: 3+9=12, Resulting Numbers: [10, 50, 12]
Generated Node #0,2: 29:[10, 50, 12] Operation: 3+9=12
Exploring Operation: 3+10=13, Resulting Numbers: [9, 50, 13]
Generated Node #0,3: 29:[9, 50, 13] Operation: 3+10=13
Moving to Node #0,0
Current State: 29:[9, 50, 30], Operations: ['3*10=30']
Exploring Operation: 50-30=20, Resulting Numbers: [9, 20]
Generated Node #0,0,0: 29:[9, 20] Operation: 50-30=20
Exploring Operation: 30-9=21, Resulting Numbers: [50, 21]
Generated Node #0,0,1: 29:[50, 21] Operation: 30-9=21
Exploring Operation: 50-9=41, Resulting Numbers: [30, 41]
Generated Node #0,0,2: 29:[30, 41] Operation: 50-9=41
Exploring Operation: 9+50=59, Resulting Numbers: [30, 59]
Generated Node #0,0,3: 29:[30, 59] Operation: 9+50=59
Moving to Node #0,1
Current State: 29:[10, 50, 27], Operations: ['3*9=27']
Exploring Operation: 50-10=40, Resulting Numbers: [27, 40]
Generated Node #0,1,0: 29:[27, 40] Operation: 50-10=40
Exploring Operation: 10+27=37, Resulting Numbers: [50, 37]
Generated Node #0,1,1: 29:[50, 37] Operation: 10+27=37
Exploring Operation: 50/10=5, Resulting Numbers: [27, 5]
Generated Node #0,1,2: 29:[27, 5] Operation: 50/10=5
Exploring Operation: 50-27=23, Resulting Numbers: [10, 23]
Generated Node #0,1,3: 29:[10, 23] Operation: 50-27=23
Moving to Node #0,3
Current State: 29:[9, 50, 13], Operations: ['3+10=13']
Exploring Operation: 50-9=41, Resulting Numbers: [13, 41]
Generated Node #0,3,0: 29:[13, 41] Operation: 50-9=41
Exploring Operation: 9+13=22, Resulting Numbers: [50, 22]
Generated Node #0,3,1: 29:[50, 22] Operation: 9+13=22
Exploring Operation: 50-13=37, Resulting Numbers: [9, 37]
Generated Node #0,3,2: 29:[9, 37] Operation: 50-13=37
Exploring Operation: 9+50=59, Resulting Numbers: [13, 59]
Generated Node #0,3,3: 29:[13, 59] Operation: 9+50=59
Moving to Node #0,2
Current State: 29:[10, 50, 12], Operations: ['3+9=12']
Exploring Operation: 50-12=38, Resulting Numbers: [10, 38]
Generated Node #0,2,0: 29:[10, 38] Operation: 50-12=38
Exploring Operation: 10+12=22, Resulting Numbers: [50, 22]
Generated Node #0,2,1: 29:[50, 22] Operation: 10+12=22
Exploring Operation: 50-10=40, Resulting Numbers: [12, 40]
Generated Node #0,2,2: 29:[12, 40] Operation: 50-10=40
Exploring Operation: 50/10=5, Resulting Numbers: [12, 5]
Generated Node #0,2,3: 29:[12, 5] Operation: 50/10=5
Moving to Node #0,0,2
Current State: 29:[30, 41], Operations: ['3*10=30', '50-9=41']
Exploring Operation: 41-30=11, Resulting Numbers: [11]
11,29 unequal: No Solution
Exploring Operation: 30*41=1230, Resulting Numbers: [1230]
1230,29 unequal: No Solution
Exploring Operation: 30+41=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Moving to Node #0,1,0
Current State: 29:[27, 40], Operations: ['3*9=27', '50-10=40']
Exploring Operation: 40-27=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Exploring Operation: 27+40=67, Resulting Numbers: [67]
67,29 unequal: No Solution
Exploring Operation: 27*40=1080, Resulting Numbers: [1080]
1080,29 unequal: No Solution
Moving to Node #0,1,3
Current State: 29:[10, 23], Operations: ['3*9=27', '50-27=23']
Exploring Operation: 10*23=230, Resulting Numbers: [230]
230,29 unequal: No Solution
Exploring Operation: 10+23=33, Resulting Numbers: [33]
33,29 unequal: No Solution
Exploring Operation: 23-10=13, Resulting Numbers: [13]
13,29 unequal: No Solution
Moving to Node #0,1,2
Current State: 29:[27, 5], Operations: ['3*9=27', '50/10=5']
Exploring Operation: 27+5=32, Resulting Numbers: [32]
32,29 unequal: No Solution
Exploring Operation: 27*5=135, Resulting Numbers: [135]
135,29 unequal: No Solution
Exploring Operation: 27-5=22, Resulting Numbers: [22]
22,29 unequal: No Solution
Moving to Node #0,1,2,0
Current State: 29:[32], Operations: ['3*9=27', '50/10=5', '27+5=32']
Moving to Node #0,1,3,0
Current State: 29:[33], Operations: ['3*9=27', '50-27=23', '10+23=33']
Moving to Node #0,1,2,0
Current State: 29:[22], Operations: ['3*9=27', '50/10=5', '27-5=22']
Moving to Node #0,1,0,0
Current State: 29:[13], Operations: ['3*9=27', '50-10=40', '40-27=13']
Moving to Node #0,1,3,0
Current State: 29:[13], Operations: ['3*9=27', '50-27=23', '23-10=13']
Moving to Node #0,0,2,0
Current State: 29:[11], Operations: ['3*10=30', '50-9=41', '41-30=11']
Moving to Node #0,2,1
Current State: 29:[50, 22], Operations: ['3+9=12', '10+12=22']
Exploring Operation: 50*22=1100, Resulting Numbers: [1100]
1100,29 unequal: No Solution
Exploring Operation: 50+22=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Moving to Node #0,2,2
Current State: 29:[12, 40], Operations: ['3+9=12', '50-10=40']
Exploring Operation: 12+40=52, Resulting Numbers: [52]
52,29 unequal: No Solution
Exploring Operation: 12*40=480, Resulting Numbers: [480]
480,29 unequal: No Solution
Exploring Operation: 40-12=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Moving to Node #0,2,1,0
Current State: 29:[28], Operations: ['3+9=12', '10+12=22', '50-22=28']
Moving to Node #0,2,2,0
Current State: 29:[28], Operations: ['3+9=12', '50-10=40', '40-12=28']
Moving to Node #0,2,2,0
Current State: 29:[52], Operations: ['3+9=12', '50-10=40', '12+40=52']
Moving to Node #0,2,0
Current State: 29:[10, 38], Operations: ['3+9=12', '50-12=38']
Exploring Operation: 10*38=380, Resulting Numbers: [380]
380,29 unequal: No Solution
Exploring Operation: 10+38=48, Resulting Numbers: [48]
48,29 unequal: No Solution
Exploring Operation: 38-10=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 29:[28], Operations: ['3+9=12', '50-12=38', '38-10=28']
Moving to Node #0,2,0,0
Current State: 29:[48], Operations: ['3+9=12', '50-12=38', '10+38=48']
Moving to Node #0,3,2
Current State: 29:[9, 37], Operations: ['3+10=13', '50-13=37']
Exploring Operation: 9+37=46, Resulting Numbers: [46]
46,29 unequal: No Solution
Exploring Operation: 9*37=333, Resulting Numbers: [333]
333,29 unequal: No Solution
Exploring Operation: 37-9=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Moving to Node #0,3,1
Current State: 29:[50, 22], Operations: ['3+10=13', '9+13=22']
Exploring Operation: 50-22=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 50*22=1100, Resulting Numbers: [1100]
1100,29 unequal: No Solution
Exploring Operation: 50+22=72, Resulting Numbers: [72]
72,29 unequal: No Solution
Moving to Node #0,3,2,0
Current State: 29:[28], Operations: ['3+10=13', '50-13=37', '37-9=28']
Moving to Node #0,3,1,0
Current State: 29:[28], Operations: ['3+10=13', '9+13=22', '50-22=28']
Moving to Node #0,3,2,0
Current State: 29:[46], Operations: ['3+10=13', '50-13=37', '9+37=46']
Moving to Node #0,3,0
Current State: 29:[13, 41], Operations: ['3+10=13', '50-9=41']
Exploring Operation: 41-13=28, Resulting Numbers: [28]
28,29 unequal: No Solution
Exploring Operation: 13+41=54, Resulting Numbers: [54]
54,29 unequal: No Solution
Exploring Operation: 13*41=533, Resulting Numbers: [533]
533,29 unequal: No Solution
Moving to Node #0,3,0,0
Current State: 29:[28], Operations: ['3+10=13', '50-9=41', '41-13=28']
Moving to Node #0,3,0,0
Current State: 29:[54], Operations: ['3+10=13', '50-9=41', '13+41=54']
Moving to Node #0,0,1
Current State: 29:[50, 21], Operations: ['3*10=30', '30-9=21']
Exploring Operation: 50*21=1050, Resulting Numbers: [1050]
1050,29 unequal: No Solution
Exploring Operation: 50+21=71, Resulting Numbers: [71]
71,29 unequal: No Solution
Exploring Operation: 50-21=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 0.953125 | bfs_4 | Current State: 29:[3, 9, 10, 50], Operations: []
Exploring Operation: 3*10=30, Resulting Numbers: [9, 50, 30]
Generated Node #2: [9, 50, 30] from Operation: 3*10=30
Current State: 29:[9, 50, 30], Operations: ['3*10=30']
Exploring Operation: 9+50=59, Resulting Numbers: [30, 59]
Generated Node #3: [30, 59] from Operation: 9+50=59
Current State: 29:[30, 59], Operations: ['3*10=30', '9+50=59']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| mult_heuristic |
[
10,
51,
51,
65
] | 65 | [
"51-51=0",
"10*0=0",
"65+0=65"
] | Current State: 65:[10, 51, 51, 65], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [10, 65, 0]
Generated Node #0,0: 65:[10, 65, 0] Operation: 51-51=0
Exploring Operation: 51/51=1, Resulting Numbers: [10, 65, 1]
Generated Node #0,1: 65:[10, 65, 1] Operation: 51/51=1
Moving to Node #0,1
Current State: 65:[10, 65, 1], Operations: ['51/51=1']
Exploring Operation: 10*1=10, Resulting Numbers: [65, 10]
Generated Node #0,1,0: 65:[65, 10] Operation: 10*1=10
Exploring Operation: 10+1=11, Resulting Numbers: [65, 11]
Generated Node #0,1,1: 65:[65, 11] Operation: 10+1=11
Moving to Node #0,0
Current State: 65:[10, 65, 0], Operations: ['51-51=0']
Exploring Operation: 10-0=10, Resulting Numbers: [65, 10]
Generated Node #0,0,0: 65:[65, 10] Operation: 10-0=10
Exploring Operation: 10+0=10, Resulting Numbers: [65, 10]
Generated Node #0,0,1: 65:[65, 10] Operation: 10+0=10
Moving to Node #0,1,1
Current State: 65:[65, 11], Operations: ['51/51=1', '10+1=11']
Exploring Operation: 65-11=54, Resulting Numbers: [54]
54,65 unequal: No Solution
Exploring Operation: 65+11=76, Resulting Numbers: [76]
76,65 unequal: No Solution
Moving to Node #0,0,0
Current State: 65:[65, 10], Operations: ['51-51=0', '10-0=10']
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Moving to Node #0,1,0
Current State: 65:[65, 10], Operations: ['51/51=1', '10*1=10']
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Moving to Node #0,0,1
Current State: 65:[65, 10], Operations: ['51-51=0', '10+0=10']
Exploring Operation: 65-10=55, Resulting Numbers: [55]
55,65 unequal: No Solution
Exploring Operation: 65+10=75, Resulting Numbers: [75]
75,65 unequal: No Solution
Moving to Node #0,0,0,0
Current State: 65:[75], Operations: ['51-51=0', '10-0=10', '65+10=75']
Moving to Node #0,1,0,0
Current State: 65:[55], Operations: ['51/51=1', '10*1=10', '65-10=55']
Moving to Node #0,0,1,0
Current State: 65:[55], Operations: ['51-51=0', '10+0=10', '65-10=55']
Moving to Node #0,0,0,0
Current State: 65:[55], Operations: ['51-51=0', '10-0=10', '65-10=55']
Moving to Node #0,1,0,0
Current State: 65:[75], Operations: ['51/51=1', '10*1=10', '65+10=75']
Moving to Node #0,0,1,0
Current State: 65:[75], Operations: ['51-51=0', '10+0=10', '65+10=75']
Moving to Node #0,1,1,0
Current State: 65:[76], Operations: ['51/51=1', '10+1=11', '65+11=76']
Moving to Node #0,1,1,0
Current State: 65:[54], Operations: ['51/51=1', '10+1=11', '65-11=54']
No solution found. | 0 | bfs_2 | Current State: 65:[10, 51, 51, 65], Operations: []
Exploring Operation: 51-51=0, Resulting Numbers: [10, 65, 0]
Generated Node #2: [10, 65, 0] from Operation: 51-51=0
Current State: 65:[10, 65, 0], Operations: ['51-51=0']
Exploring Operation: 10*0=0, Resulting Numbers: [65, 0]
Generated Node #3: [65, 0] from Operation: 10*0=0
Current State: 65:[65, 0], Operations: ['51-51=0', '10*0=0']
Exploring Operation: 65+0=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| mult_heuristic |
[
27,
99,
49,
60
] | 17 | [
"27+99=126",
"49+60=109",
"126-109=17"
] | Current State: 17:[27, 99, 49, 60], Operations: []
Exploring Operation: 99-60=39, Resulting Numbers: [27, 49, 39]
Generated Node #0,0: 17:[27, 49, 39] Operation: 99-60=39
Exploring Operation: 99-49=50, Resulting Numbers: [27, 60, 50]
Generated Node #0,1: 17:[27, 60, 50] Operation: 99-49=50
Exploring Operation: 99-27=72, Resulting Numbers: [49, 60, 72]
Generated Node #0,2: 17:[49, 60, 72] Operation: 99-27=72
Exploring Operation: 60-49=11, Resulting Numbers: [27, 99, 11]
Generated Node #0,3: 17:[27, 99, 11] Operation: 60-49=11
Moving to Node #0,0
Current State: 17:[27, 49, 39], Operations: ['99-60=39']
Exploring Operation: 39-27=12, Resulting Numbers: [49, 12]
Generated Node #0,0,0: 17:[49, 12] Operation: 39-27=12
Exploring Operation: 49-39=10, Resulting Numbers: [27, 10]
Generated Node #0,0,1: 17:[27, 10] Operation: 49-39=10
Exploring Operation: 49-27=22, Resulting Numbers: [39, 22]
Generated Node #0,0,2: 17:[39, 22] Operation: 49-27=22
Exploring Operation: 27+49=76, Resulting Numbers: [39, 76]
Generated Node #0,0,3: 17:[39, 76] Operation: 27+49=76
Moving to Node #0,1
Current State: 17:[27, 60, 50], Operations: ['99-49=50']
Exploring Operation: 60-27=33, Resulting Numbers: [50, 33]
Generated Node #0,1,0: 17:[50, 33] Operation: 60-27=33
Exploring Operation: 27+60=87, Resulting Numbers: [50, 87]
Generated Node #0,1,1: 17:[50, 87] Operation: 27+60=87
Exploring Operation: 50-27=23, Resulting Numbers: [60, 23]
Generated Node #0,1,2: 17:[60, 23] Operation: 50-27=23
Exploring Operation: 60-50=10, Resulting Numbers: [27, 10]
Generated Node #0,1,3: 17:[27, 10] Operation: 60-50=10
Moving to Node #0,3
Current State: 17:[27, 99, 11], Operations: ['60-49=11']
Exploring Operation: 99/11=9, Resulting Numbers: [27, 9]
Generated Node #0,3,0: 17:[27, 9] Operation: 99/11=9
Exploring Operation: 99-11=88, Resulting Numbers: [27, 88]
Generated Node #0,3,1: 17:[27, 88] Operation: 99-11=88
Exploring Operation: 27-11=16, Resulting Numbers: [99, 16]
Generated Node #0,3,2: 17:[99, 16] Operation: 27-11=16
Exploring Operation: 99-27=72, Resulting Numbers: [11, 72]
Generated Node #0,3,3: 17:[11, 72] Operation: 99-27=72
Moving to Node #0,2
Current State: 17:[49, 60, 72], Operations: ['99-27=72']
Exploring Operation: 49+60=109, Resulting Numbers: [72, 109]
Generated Node #0,2,0: 17:[72, 109] Operation: 49+60=109
Exploring Operation: 72-60=12, Resulting Numbers: [49, 12]
Generated Node #0,2,1: 17:[49, 12] Operation: 72-60=12
Exploring Operation: 60-49=11, Resulting Numbers: [72, 11]
Generated Node #0,2,2: 17:[72, 11] Operation: 60-49=11
Exploring Operation: 72-49=23, Resulting Numbers: [60, 23]
Generated Node #0,2,3: 17:[60, 23] Operation: 72-49=23
Moving to Node #0,0,1
Current State: 17:[27, 10], Operations: ['99-60=39', '49-39=10']
Exploring Operation: 27*10=270, Resulting Numbers: [270]
270,17 unequal: No Solution
Exploring Operation: 27+10=37, Resulting Numbers: [37]
37,17 unequal: No Solution
Exploring Operation: 27-10=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 0.979167 | bfs_4 | Current State: 17:[27, 99, 49, 60], Operations: []
Exploring Operation: 27+99=126, Resulting Numbers: [49, 60, 126]
Generated Node #2: [49, 60, 126] from Operation: 27+99=126
Current State: 17:[49, 60, 126], Operations: ['27+99=126']
Exploring Operation: 49+60=109, Resulting Numbers: [126, 109]
Generated Node #3: [126, 109] from Operation: 49+60=109
Current State: 17:[126, 109], Operations: ['27+99=126', '49+60=109']
Exploring Operation: 126-109=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| mult_heuristic |
[
47,
62,
12,
71
] | 61 | [
"71-62=9",
"12*9=108",
"108-47=61"
] | Current State: 61:[47, 62, 12, 71], Operations: []
Exploring Operation: 71-12=59, Resulting Numbers: [47, 62, 59]
Generated Node #0,0: 61:[47, 62, 59] Operation: 71-12=59
Exploring Operation: 62-12=50, Resulting Numbers: [47, 71, 50]
Generated Node #0,1: 61:[47, 71, 50] Operation: 62-12=50
Exploring Operation: 47+12=59, Resulting Numbers: [62, 71, 59]
Generated Node #0,2: 61:[62, 71, 59] Operation: 47+12=59
Exploring Operation: 62+12=74, Resulting Numbers: [47, 71, 74]
Generated Node #0,3: 61:[47, 71, 74] Operation: 62+12=74
Exploring Operation: 47-12=35, Resulting Numbers: [62, 71, 35]
Generated Node #0,4: 61:[62, 71, 35] Operation: 47-12=35
Moving to Node #0,2
Current State: 61:[62, 71, 59], Operations: ['47+12=59']
Exploring Operation: 71-59=12, Resulting Numbers: [62, 12]
Generated Node #0,2,0: 61:[62, 12] Operation: 71-59=12
Exploring Operation: 71+59=130, Resulting Numbers: [62, 130]
Generated Node #0,2,1: 61:[62, 130] Operation: 71+59=130
Exploring Operation: 71-62=9, Resulting Numbers: [59, 9]
Generated Node #0,2,2: 61:[59, 9] Operation: 71-62=9
Exploring Operation: 62-59=3, Resulting Numbers: [71, 3]
Generated Node #0,2,3: 61:[71, 3] Operation: 62-59=3
Exploring Operation: 62+59=121, Resulting Numbers: [71, 121]
Generated Node #0,2,4: 61:[71, 121] Operation: 62+59=121
Moving to Node #0,0
Current State: 61:[47, 62, 59], Operations: ['71-12=59']
Exploring Operation: 59-47=12, Resulting Numbers: [62, 12]
Generated Node #0,0,0: 61:[62, 12] Operation: 59-47=12
Exploring Operation: 62-47=15, Resulting Numbers: [59, 15]
Generated Node #0,0,1: 61:[59, 15] Operation: 62-47=15
Exploring Operation: 47+62=109, Resulting Numbers: [59, 109]
Generated Node #0,0,2: 61:[59, 109] Operation: 47+62=109
Exploring Operation: 47+59=106, Resulting Numbers: [62, 106]
Generated Node #0,0,3: 61:[62, 106] Operation: 47+59=106
Exploring Operation: 62-59=3, Resulting Numbers: [47, 3]
Generated Node #0,0,4: 61:[47, 3] Operation: 62-59=3
Moving to Node #0,1
Current State: 61:[47, 71, 50], Operations: ['62-12=50']
Exploring Operation: 47+71=118, Resulting Numbers: [50, 118]
Generated Node #0,1,0: 61:[50, 118] Operation: 47+71=118
Exploring Operation: 71-50=21, Resulting Numbers: [47, 21]
Generated Node #0,1,1: 61:[47, 21] Operation: 71-50=21
Exploring Operation: 71-47=24, Resulting Numbers: [50, 24]
Generated Node #0,1,2: 61:[50, 24] Operation: 71-47=24
Exploring Operation: 50-47=3, Resulting Numbers: [71, 3]
Generated Node #0,1,3: 61:[71, 3] Operation: 50-47=3
Exploring Operation: 47+50=97, Resulting Numbers: [71, 97]
Generated Node #0,1,4: 61:[71, 97] Operation: 47+50=97
Moving to Node #0,3
Current State: 61:[47, 71, 74], Operations: ['62+12=74']
Exploring Operation: 47+74=121, Resulting Numbers: [71, 121]
Generated Node #0,3,0: 61:[71, 121] Operation: 47+74=121
Exploring Operation: 74-71=3, Resulting Numbers: [47, 3]
Generated Node #0,3,1: 61:[47, 3] Operation: 74-71=3
Exploring Operation: 47+71=118, Resulting Numbers: [74, 118]
Generated Node #0,3,2: 61:[74, 118] Operation: 47+71=118
Exploring Operation: 71-47=24, Resulting Numbers: [74, 24]
Generated Node #0,3,3: 61:[74, 24] Operation: 71-47=24
Exploring Operation: 74-47=27, Resulting Numbers: [71, 27]
Generated Node #0,3,4: 61:[71, 27] Operation: 74-47=27
Moving to Node #0,4
Current State: 61:[62, 71, 35], Operations: ['47-12=35']
Exploring Operation: 71-35=36, Resulting Numbers: [62, 36]
Generated Node #0,4,0: 61:[62, 36] Operation: 71-35=36
Exploring Operation: 62-35=27, Resulting Numbers: [71, 27]
Generated Node #0,4,1: 61:[71, 27] Operation: 62-35=27
Exploring Operation: 71-62=9, Resulting Numbers: [35, 9]
Generated Node #0,4,2: 61:[35, 9] Operation: 71-62=9
Exploring Operation: 71+35=106, Resulting Numbers: [62, 106]
Generated Node #0,4,3: 61:[62, 106] Operation: 71+35=106
Exploring Operation: 62+35=97, Resulting Numbers: [71, 97]
Generated Node #0,4,4: 61:[71, 97] Operation: 62+35=97
Moving to Node #0,4,0
Current State: 61:[62, 36], Operations: ['47-12=35', '71-35=36']
Exploring Operation: 62-36=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 62*36=2232, Resulting Numbers: [2232]
2232,61 unequal: No Solution
Exploring Operation: 62+36=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Moving to Node #0,3,4
Current State: 61:[71, 27], Operations: ['62+12=74', '74-47=27']
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 71*27=1917, Resulting Numbers: [1917]
1917,61 unequal: No Solution
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Moving to Node #0,4,1
Current State: 61:[71, 27], Operations: ['47-12=35', '62-35=27']
Exploring Operation: 71+27=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 71-27=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 71*27=1917, Resulting Numbers: [1917]
1917,61 unequal: No Solution
Moving to Node #0,4,4
Current State: 61:[71, 97], Operations: ['47-12=35', '62+35=97']
Exploring Operation: 71*97=6887, Resulting Numbers: [6887]
6887,61 unequal: No Solution
Exploring Operation: 71+97=168, Resulting Numbers: [168]
168,61 unequal: No Solution
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Moving to Node #0,0,3
Current State: 61:[62, 106], Operations: ['71-12=59', '47+59=106']
Exploring Operation: 62*106=6572, Resulting Numbers: [6572]
6572,61 unequal: No Solution
Exploring Operation: 106-62=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 62+106=168, Resulting Numbers: [168]
168,61 unequal: No Solution
Moving to Node #0,3,4,0
Current State: 61:[44], Operations: ['62+12=74', '74-47=27', '71-27=44']
Moving to Node #0,4,1,0
Current State: 61:[44], Operations: ['47-12=35', '62-35=27', '71-27=44']
Moving to Node #0,0,3,0
Current State: 61:[44], Operations: ['71-12=59', '47+59=106', '106-62=44']
Moving to Node #0,4,4,0
Current State: 61:[26], Operations: ['47-12=35', '62+35=97', '97-71=26']
Moving to Node #0,4,0,0
Current State: 61:[26], Operations: ['47-12=35', '71-35=36', '62-36=26']
Moving to Node #0,4,1,0
Current State: 61:[98], Operations: ['47-12=35', '62-35=27', '71+27=98']
Moving to Node #0,3,4,0
Current State: 61:[98], Operations: ['62+12=74', '74-47=27', '71+27=98']
Moving to Node #0,4,0,0
Current State: 61:[98], Operations: ['47-12=35', '71-35=36', '62+36=98']
Moving to Node #0,4,3
Current State: 61:[62, 106], Operations: ['47-12=35', '71+35=106']
Exploring Operation: 62+106=168, Resulting Numbers: [168]
168,61 unequal: No Solution
Exploring Operation: 106-62=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 62*106=6572, Resulting Numbers: [6572]
6572,61 unequal: No Solution
Moving to Node #0,1,4
Current State: 61:[71, 97], Operations: ['62-12=50', '47+50=97']
Exploring Operation: 71+97=168, Resulting Numbers: [168]
168,61 unequal: No Solution
Exploring Operation: 97-71=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 71*97=6887, Resulting Numbers: [6887]
6887,61 unequal: No Solution
Moving to Node #0,4,3,0
Current State: 61:[44], Operations: ['47-12=35', '71+35=106', '106-62=44']
Moving to Node #0,1,4,0
Current State: 61:[26], Operations: ['62-12=50', '47+50=97', '97-71=26']
Moving to Node #0,0,1
Current State: 61:[59, 15], Operations: ['71-12=59', '62-47=15']
Exploring Operation: 59-15=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 59+15=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 59*15=885, Resulting Numbers: [885]
885,61 unequal: No Solution
Moving to Node #0,1,2
Current State: 61:[50, 24], Operations: ['62-12=50', '71-47=24']
Exploring Operation: 50+24=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 50-24=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 50*24=1200, Resulting Numbers: [1200]
1200,61 unequal: No Solution
Moving to Node #0,2,0
Current State: 61:[62, 12], Operations: ['47+12=59', '71-59=12']
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,61 unequal: No Solution
Moving to Node #0,2,0,0
Current State: 61:[50], Operations: ['47+12=59', '71-59=12', '62-12=50']
Moving to Node #0,1,2,0
Current State: 61:[74], Operations: ['62-12=50', '71-47=24', '50+24=74']
Moving to Node #0,0,1,0
Current State: 61:[74], Operations: ['71-12=59', '62-47=15', '59+15=74']
Moving to Node #0,2,0,0
Current State: 61:[74], Operations: ['47+12=59', '71-59=12', '62+12=74']
Moving to Node #0,0,1,0
Current State: 61:[44], Operations: ['71-12=59', '62-47=15', '59-15=44']
Moving to Node #0,1,2,0
Current State: 61:[26], Operations: ['62-12=50', '71-47=24', '50-24=26']
Moving to Node #0,0,0
Current State: 61:[62, 12], Operations: ['71-12=59', '59-47=12']
Exploring Operation: 62+12=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 62*12=744, Resulting Numbers: [744]
744,61 unequal: No Solution
Exploring Operation: 62-12=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Moving to Node #0,0,2
Current State: 61:[59, 109], Operations: ['71-12=59', '47+62=109']
Exploring Operation: 109-59=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 59*109=6431, Resulting Numbers: [6431]
6431,61 unequal: No Solution
Exploring Operation: 59+109=168, Resulting Numbers: [168]
168,61 unequal: No Solution
Moving to Node #0,3,3
Current State: 61:[74, 24], Operations: ['62+12=74', '71-47=24']
Exploring Operation: 74+24=98, Resulting Numbers: [98]
98,61 unequal: No Solution
Exploring Operation: 74*24=1776, Resulting Numbers: [1776]
1776,61 unequal: No Solution
Exploring Operation: 74-24=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Moving to Node #0,1,1
Current State: 61:[47, 21], Operations: ['62-12=50', '71-50=21']
Exploring Operation: 47*21=987, Resulting Numbers: [987]
987,61 unequal: No Solution
Exploring Operation: 47-21=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 47+21=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Moving to Node #0,1,1,0
Current State: 61:[68], Operations: ['62-12=50', '71-50=21', '47+21=68']
Moving to Node #0,0,2,0
Current State: 61:[50], Operations: ['71-12=59', '47+62=109', '109-59=50']
Moving to Node #0,0,0,0
Current State: 61:[50], Operations: ['71-12=59', '59-47=12', '62-12=50']
Moving to Node #0,3,3,0
Current State: 61:[50], Operations: ['62+12=74', '71-47=24', '74-24=50']
Moving to Node #0,0,0,0
Current State: 61:[74], Operations: ['71-12=59', '59-47=12', '62+12=74']
Moving to Node #0,1,1,0
Current State: 61:[26], Operations: ['62-12=50', '71-50=21', '47-21=26']
Moving to Node #0,3,3,0
Current State: 61:[98], Operations: ['62+12=74', '71-47=24', '74+24=98']
Moving to Node #0,2,2
Current State: 61:[59, 9], Operations: ['47+12=59', '71-62=9']
Exploring Operation: 59*9=531, Resulting Numbers: [531]
531,61 unequal: No Solution
Exploring Operation: 59+9=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 59-9=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Moving to Node #0,1,0
Current State: 61:[50, 118], Operations: ['62-12=50', '47+71=118']
Exploring Operation: 50+118=168, Resulting Numbers: [168]
168,61 unequal: No Solution
Exploring Operation: 118-50=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 50*118=5900, Resulting Numbers: [5900]
5900,61 unequal: No Solution
Moving to Node #0,1,3
Current State: 61:[71, 3], Operations: ['62-12=50', '50-47=3']
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,61 unequal: No Solution
Moving to Node #0,2,2,0
Current State: 61:[68], Operations: ['47+12=59', '71-62=9', '59+9=68']
Moving to Node #0,1,0,0
Current State: 61:[68], Operations: ['62-12=50', '47+71=118', '118-50=68']
Moving to Node #0,1,3,0
Current State: 61:[68], Operations: ['62-12=50', '50-47=3', '71-3=68']
Moving to Node #0,2,2,0
Current State: 61:[50], Operations: ['47+12=59', '71-62=9', '59-9=50']
Moving to Node #0,1,3,0
Current State: 61:[74], Operations: ['62-12=50', '50-47=3', '71+3=74']
Moving to Node #0,2,3
Current State: 61:[71, 3], Operations: ['47+12=59', '62-59=3']
Exploring Operation: 71+3=74, Resulting Numbers: [74]
74,61 unequal: No Solution
Exploring Operation: 71*3=213, Resulting Numbers: [213]
213,61 unequal: No Solution
Exploring Operation: 71-3=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Moving to Node #0,2,4
Current State: 61:[71, 121], Operations: ['47+12=59', '62+59=121']
Exploring Operation: 71*121=8591, Resulting Numbers: [8591]
8591,61 unequal: No Solution
Exploring Operation: 71+121=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Exploring Operation: 121-71=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Moving to Node #0,3,0
Current State: 61:[71, 121], Operations: ['62+12=74', '47+74=121']
Exploring Operation: 121-71=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 71+121=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Exploring Operation: 71*121=8591, Resulting Numbers: [8591]
8591,61 unequal: No Solution
Moving to Node #0,3,2
Current State: 61:[74, 118], Operations: ['62+12=74', '47+71=118']
Exploring Operation: 118-74=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 74*118=8732, Resulting Numbers: [8732]
8732,61 unequal: No Solution
Exploring Operation: 74+118=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Moving to Node #0,2,1
Current State: 61:[62, 130], Operations: ['47+12=59', '71+59=130']
Exploring Operation: 62*130=8060, Resulting Numbers: [8060]
8060,61 unequal: No Solution
Exploring Operation: 62+130=192, Resulting Numbers: [192]
192,61 unequal: No Solution
Exploring Operation: 130-62=68, Resulting Numbers: [68]
68,61 unequal: No Solution
Moving to Node #0,2,3,0
Current State: 61:[68], Operations: ['47+12=59', '62-59=3', '71-3=68']
Moving to Node #0,2,1,0
Current State: 61:[68], Operations: ['47+12=59', '71+59=130', '130-62=68']
Moving to Node #0,2,4,0
Current State: 61:[50], Operations: ['47+12=59', '62+59=121', '121-71=50']
Moving to Node #0,3,0,0
Current State: 61:[50], Operations: ['62+12=74', '47+74=121', '121-71=50']
Moving to Node #0,2,3,0
Current State: 61:[74], Operations: ['47+12=59', '62-59=3', '71+3=74']
Moving to Node #0,3,2,0
Current State: 61:[44], Operations: ['62+12=74', '47+71=118', '118-74=44']
Moving to Node #0,0,4
Current State: 61:[47, 3], Operations: ['71-12=59', '62-59=3']
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,61 unequal: No Solution
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Moving to Node #0,3,1
Current State: 61:[47, 3], Operations: ['62+12=74', '74-71=3']
Exploring Operation: 47-3=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 47*3=141, Resulting Numbers: [141]
141,61 unequal: No Solution
Exploring Operation: 47+3=50, Resulting Numbers: [50]
50,61 unequal: No Solution
Moving to Node #0,4,2
Current State: 61:[35, 9], Operations: ['47-12=35', '71-62=9']
Exploring Operation: 35-9=26, Resulting Numbers: [26]
26,61 unequal: No Solution
Exploring Operation: 35+9=44, Resulting Numbers: [44]
44,61 unequal: No Solution
Exploring Operation: 35*9=315, Resulting Numbers: [315]
315,61 unequal: No Solution
Moving to Node #0,0,2,0
Current State: 61:[168], Operations: ['71-12=59', '47+62=109', '59+109=168']
Moving to Node #0,0,4,0
Current State: 61:[50], Operations: ['71-12=59', '62-59=3', '47+3=50']
Moving to Node #0,3,1,0
Current State: 61:[50], Operations: ['62+12=74', '74-71=3', '47+3=50']
Moving to Node #0,0,4,0
Current State: 61:[44], Operations: ['71-12=59', '62-59=3', '47-3=44']
Moving to Node #0,3,1,0
Current State: 61:[44], Operations: ['62+12=74', '74-71=3', '47-3=44']
Moving to Node #0,4,2,0
Current State: 61:[44], Operations: ['47-12=35', '71-62=9', '35+9=44']
Moving to Node #0,4,2,0
Current State: 61:[26], Operations: ['47-12=35', '71-62=9', '35-9=26']
Moving to Node #0,3,1,0
Current State: 61:[141], Operations: ['62+12=74', '74-71=3', '47*3=141']
Moving to Node #0,0,4,0
Current State: 61:[141], Operations: ['71-12=59', '62-59=3', '47*3=141']
Moving to Node #0,4,4,0
Current State: 61:[168], Operations: ['47-12=35', '62+35=97', '71+97=168']
Moving to Node #0,4,3,0
Current State: 61:[168], Operations: ['47-12=35', '71+35=106', '62+106=168']
Moving to Node #0,0,3,0
Current State: 61:[168], Operations: ['71-12=59', '47+59=106', '62+106=168']
Moving to Node #0,1,0,0
Current State: 61:[168], Operations: ['62-12=50', '47+71=118', '50+118=168']
Moving to Node #0,1,4,0
Current State: 61:[168], Operations: ['62-12=50', '47+50=97', '71+97=168']
Moving to Node #0,2,4,0
Current State: 61:[192], Operations: ['47+12=59', '62+59=121', '71+121=192']
Moving to Node #0,2,1,0
Current State: 61:[192], Operations: ['47+12=59', '71+59=130', '62+130=192']
Moving to Node #0,3,2,0
Current State: 61:[192], Operations: ['62+12=74', '47+71=118', '74+118=192']
Moving to Node #0,3,0,0
Current State: 61:[192], Operations: ['62+12=74', '47+74=121', '71+121=192']
Moving to Node #0,2,3,0
Current State: 61:[213], Operations: ['47+12=59', '62-59=3', '71*3=213']
Moving to Node #0,1,3,0
Current State: 61:[213], Operations: ['62-12=50', '50-47=3', '71*3=213']
Moving to Node #0,4,2,0
Current State: 61:[315], Operations: ['47-12=35', '71-62=9', '35*9=315']
Moving to Node #0,2,2,0
Current State: 61:[531], Operations: ['47+12=59', '71-62=9', '59*9=531']
Moving to Node #0,0,0,0
Current State: 61:[744], Operations: ['71-12=59', '59-47=12', '62*12=744']
Moving to Node #0,2,0,0
Current State: 61:[744], Operations: ['47+12=59', '71-59=12', '62*12=744']
Moving to Node #0,0,1,0
Current State: 61:[885], Operations: ['71-12=59', '62-47=15', '59*15=885']
Moving to Node #0,1,1,0
Current State: 61:[987], Operations: ['62-12=50', '71-50=21', '47*21=987']
Moving to Node #0,1,2,0
Current State: 61:[1200], Operations: ['62-12=50', '71-47=24', '50*24=1200']
Moving to Node #0,3,3,0
Current State: 61:[1776], Operations: ['62+12=74', '71-47=24', '74*24=1776']
Moving to Node #0,4,1,0
Current State: 61:[1917], Operations: ['47-12=35', '62-35=27', '71*27=1917']
Moving to Node #0,3,4,0
Current State: 61:[1917], Operations: ['62+12=74', '74-47=27', '71*27=1917']
Moving to Node #0,4,0,0
Current State: 61:[2232], Operations: ['47-12=35', '71-35=36', '62*36=2232']
Moving to Node #0,1,0,0
Current State: 61:[5900], Operations: ['62-12=50', '47+71=118', '50*118=5900']
Moving to Node #0,0,2,0
Current State: 61:[6431], Operations: ['71-12=59', '47+62=109', '59*109=6431']
Moving to Node #0,0,3,0
Current State: 61:[6572], Operations: ['71-12=59', '47+59=106', '62*106=6572']
Moving to Node #0,4,3,0
Current State: 61:[6572], Operations: ['47-12=35', '71+35=106', '62*106=6572']
Moving to Node #0,1,4,0
Current State: 61:[6887], Operations: ['62-12=50', '47+50=97', '71*97=6887']
Moving to Node #0,4,4,0
Current State: 61:[6887], Operations: ['47-12=35', '62+35=97', '71*97=6887']
Moving to Node #0,2,1,0
Current State: 61:[8060], Operations: ['47+12=59', '71+59=130', '62*130=8060']
Moving to Node #0,2,4,0
Current State: 61:[8591], Operations: ['47+12=59', '62+59=121', '71*121=8591']
Moving to Node #0,3,0,0
Current State: 61:[8591], Operations: ['62+12=74', '47+74=121', '71*121=8591']
Moving to Node #0,3,2,0
Current State: 61:[8732], Operations: ['62+12=74', '47+71=118', '74*118=8732']
No solution found. | 0 | bfs_5 | Current State: 61:[47, 62, 12, 71], Operations: []
Exploring Operation: 71-62=9, Resulting Numbers: [47, 12, 9]
Generated Node #2: [47, 12, 9] from Operation: 71-62=9
Current State: 61:[47, 12, 9], Operations: ['71-62=9']
Exploring Operation: 12*9=108, Resulting Numbers: [47, 108]
Generated Node #3: [47, 108] from Operation: 12*9=108
Current State: 61:[47, 108], Operations: ['71-62=9', '12*9=108']
Exploring Operation: 108-47=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| mult_heuristic |
Subsets and Splits