nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
86,
53,
64,
5
] | 92 | [
"86-53=33",
"64-5=59",
"33+59=92"
] | Current State: 92:[86, 53, 64, 5], Operations: []
Exploring Operation: 86-53=33, Resulting Numbers: [64, 5, 33]
Generated Node #2: [64, 5, 33] from Operation: 86-53=33
Current State: 92:[64, 5, 33], Operations: ['86-53=33']
Exploring Operation: 64-5=59, Resulting Numbers: [33, 59]
Generated Node #3: [33, 59] from Operation: 64-5=59
Current State: 92:[33, 59], Operations: ['86-53=33', '64-5=59']
Exploring Operation: 33+59=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
26,
1,
69,
4
] | 61 | [
"1+4=5",
"26*5=130",
"130-69=61"
] | Current State: 61:[26, 1, 69, 4], Operations: []
Exploring Operation: 1+4=5, Resulting Numbers: [26, 69, 5]
Generated Node #2: [26, 69, 5] from Operation: 1+4=5
Current State: 61:[26, 69, 5], Operations: ['1+4=5']
Exploring Operation: 26*5=130, Resulting Numbers: [69, 130]
Generated Node #3: [69, 130] from Operation: 26*5=130
Current State: 61:[69, 130], Operations: ['1+4=5', '26*5=130']
Exploring Operation: 130-69=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
94,
56,
79,
9
] | 62 | [
"94+56=150",
"79+9=88",
"150-88=62"
] | Current State: 62:[94, 56, 79, 9], Operations: []
Exploring Operation: 94+56=150, Resulting Numbers: [79, 9, 150]
Generated Node #2: [79, 9, 150] from Operation: 94+56=150
Current State: 62:[79, 9, 150], Operations: ['94+56=150']
Exploring Operation: 79+9=88, Resulting Numbers: [150, 88]
Generated Node #3: [150, 88] from Operation: 79+9=88
Current State: 62:[150, 88], Operations: ['94+56=150', '79+9=88']
Exploring Operation: 150-88=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
70,
46,
67,
4
] | 95 | [
"70-46=24",
"67+4=71",
"24+71=95"
] | Current State: 95:[70, 46, 67, 4], Operations: []
Exploring Operation: 70-46=24, Resulting Numbers: [67, 4, 24]
Generated Node #2: [67, 4, 24] from Operation: 70-46=24
Current State: 95:[67, 4, 24], Operations: ['70-46=24']
Exploring Operation: 67+4=71, Resulting Numbers: [24, 71]
Generated Node #3: [24, 71] from Operation: 67+4=71
Current State: 95:[24, 71], Operations: ['70-46=24', '67+4=71']
Exploring Operation: 24+71=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
21,
38,
15,
4
] | 71 | [
"38-15=23",
"4*23=92",
"92-21=71"
] | Current State: 71:[21, 38, 15, 4], Operations: []
Exploring Operation: 38-15=23, Resulting Numbers: [21, 4, 23]
Generated Node #2: [21, 4, 23] from Operation: 38-15=23
Current State: 71:[21, 4, 23], Operations: ['38-15=23']
Exploring Operation: 4*23=92, Resulting Numbers: [21, 92]
Generated Node #3: [21, 92] from Operation: 4*23=92
Current State: 71:[21, 92], Operations: ['38-15=23', '4*23=92']
Exploring Operation: 92-21=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
23,
34,
7,
70
] | 66 | [
"34-23=11",
"7+70=77",
"77-11=66"
] | Current State: 66:[23, 34, 7, 70], Operations: []
Exploring Operation: 34-23=11, Resulting Numbers: [7, 70, 11]
Generated Node #2: [7, 70, 11] from Operation: 34-23=11
Current State: 66:[7, 70, 11], Operations: ['34-23=11']
Exploring Operation: 7+70=77, Resulting Numbers: [11, 77]
Generated Node #3: [11, 77] from Operation: 7+70=77
Current State: 66:[11, 77], Operations: ['34-23=11', '7+70=77']
Exploring Operation: 77-11=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
96,
82,
14,
73
] | 45 | [
"96-82=14",
"73-14=59",
"59-14=45"
] | Current State: 45:[96, 82, 14, 73], Operations: []
Exploring Operation: 96-82=14, Resulting Numbers: [14, 73, 14]
Generated Node #2: [14, 73, 14] from Operation: 96-82=14
Current State: 45:[14, 73, 14], Operations: ['96-82=14']
Exploring Operation: 73-14=59, Resulting Numbers: [59]
59,45 equal: Goal Reached
Exploring Operation: 59-14=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
29,
47,
18,
9
] | 38 | [
"29+47=76",
"18/9=2",
"76/2=38"
] | Current State: 38:[29, 47, 18, 9], Operations: []
Exploring Operation: 29+47=76, Resulting Numbers: [18, 9, 76]
Generated Node #2: [18, 9, 76] from Operation: 29+47=76
Current State: 38:[18, 9, 76], Operations: ['29+47=76']
Exploring Operation: 18/9=2, Resulting Numbers: [76, 2]
Generated Node #3: [76, 2] from Operation: 18/9=2
Current State: 38:[76, 2], Operations: ['29+47=76', '18/9=2']
Exploring Operation: 76/2=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
67,
86,
3,
63
] | 85 | [
"86-67=19",
"3+63=66",
"19+66=85"
] | Current State: 85:[67, 86, 3, 63], Operations: []
Exploring Operation: 86-67=19, Resulting Numbers: [3, 63, 19]
Generated Node #2: [3, 63, 19] from Operation: 86-67=19
Current State: 85:[3, 63, 19], Operations: ['86-67=19']
Exploring Operation: 3+63=66, Resulting Numbers: [19, 66]
Generated Node #3: [19, 66] from Operation: 3+63=66
Current State: 85:[19, 66], Operations: ['86-67=19', '3+63=66']
Exploring Operation: 19+66=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
44,
48,
4,
29
] | 37 | [
"48-44=4",
"4+29=33",
"4+33=37"
] | Current State: 37:[44, 48, 4, 29], Operations: []
Exploring Operation: 48-44=4, Resulting Numbers: [4, 29, 4]
Generated Node #2: [4, 29, 4] from Operation: 48-44=4
Current State: 37:[4, 29, 4], Operations: ['48-44=4']
Exploring Operation: 4+29=33, Resulting Numbers: [33]
33,37 equal: Goal Reached
Exploring Operation: 4+33=37, Resulting Numbers: [37]
37,37 equal: Goal Reached
| 4 |
[
51,
25,
2,
28
] | 51 | [
"25+2=27",
"28-27=1",
"51*1=51"
] | Current State: 51:[51, 25, 2, 28], Operations: []
Exploring Operation: 25+2=27, Resulting Numbers: [51, 28, 27]
Generated Node #2: [51, 28, 27] from Operation: 25+2=27
Current State: 51:[51, 28, 27], Operations: ['25+2=27']
Exploring Operation: 28-27=1, Resulting Numbers: [51, 1]
Generated Node #3: [51, 1] from Operation: 28-27=1
Current State: 51:[51, 1], Operations: ['25+2=27', '28-27=1']
Exploring Operation: 51*1=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
42,
26,
48
] | 12 | [
"42-26=16",
"48/16=3",
"9+3=12"
] | Current State: 12:[9, 42, 26, 48], Operations: []
Exploring Operation: 42-26=16, Resulting Numbers: [9, 48, 16]
Generated Node #2: [9, 48, 16] from Operation: 42-26=16
Current State: 12:[9, 48, 16], Operations: ['42-26=16']
Exploring Operation: 48/16=3, Resulting Numbers: [9, 3]
Generated Node #3: [9, 3] from Operation: 48/16=3
Current State: 12:[9, 3], Operations: ['42-26=16', '48/16=3']
Exploring Operation: 9+3=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
53,
64,
88,
90
] | 98 | [
"64-53=11",
"88/11=8",
"90+8=98"
] | Current State: 98:[53, 64, 88, 90], Operations: []
Exploring Operation: 64-53=11, Resulting Numbers: [88, 90, 11]
Generated Node #2: [88, 90, 11] from Operation: 64-53=11
Current State: 98:[88, 90, 11], Operations: ['64-53=11']
Exploring Operation: 88/11=8, Resulting Numbers: [90, 8]
Generated Node #3: [90, 8] from Operation: 88/11=8
Current State: 98:[90, 8], Operations: ['64-53=11', '88/11=8']
Exploring Operation: 90+8=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
58,
94,
48,
91
] | 30 | [
"58-48=10",
"94-91=3",
"10*3=30"
] | Current State: 30:[58, 94, 48, 91], Operations: []
Exploring Operation: 58-48=10, Resulting Numbers: [94, 91, 10]
Generated Node #2: [94, 91, 10] from Operation: 58-48=10
Current State: 30:[94, 91, 10], Operations: ['58-48=10']
Exploring Operation: 94-91=3, Resulting Numbers: [10, 3]
Generated Node #3: [10, 3] from Operation: 94-91=3
Current State: 30:[10, 3], Operations: ['58-48=10', '94-91=3']
Exploring Operation: 10*3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
18,
61,
30,
31
] | 79 | [
"18+61=79",
"31-30=1",
"79*1=79"
] | Current State: 79:[18, 61, 30, 31], Operations: []
Exploring Operation: 18+61=79, Resulting Numbers: [30, 31, 79]
Generated Node #2: [30, 31, 79] from Operation: 18+61=79
Current State: 79:[30, 31, 79], Operations: ['18+61=79']
Exploring Operation: 31-30=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 31-30=1
Current State: 79:[79, 1], Operations: ['18+61=79', '31-30=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
67,
55,
64,
86
] | 28 | [
"67+55=122",
"64+86=150",
"150-122=28"
] | Current State: 28:[67, 55, 64, 86], Operations: []
Exploring Operation: 67+55=122, Resulting Numbers: [64, 86, 122]
Generated Node #2: [64, 86, 122] from Operation: 67+55=122
Current State: 28:[64, 86, 122], Operations: ['67+55=122']
Exploring Operation: 64+86=150, Resulting Numbers: [122, 150]
Generated Node #3: [122, 150] from Operation: 64+86=150
Current State: 28:[122, 150], Operations: ['67+55=122', '64+86=150']
Exploring Operation: 150-122=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
64,
22,
4,
90
] | 32 | [
"22*4=88",
"90-88=2",
"64/2=32"
] | Current State: 32:[64, 22, 4, 90], Operations: []
Exploring Operation: 22*4=88, Resulting Numbers: [64, 90, 88]
Generated Node #2: [64, 90, 88] from Operation: 22*4=88
Current State: 32:[64, 90, 88], Operations: ['22*4=88']
Exploring Operation: 90-88=2, Resulting Numbers: [64, 2]
Generated Node #3: [64, 2] from Operation: 90-88=2
Current State: 32:[64, 2], Operations: ['22*4=88', '90-88=2']
Exploring Operation: 64/2=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
12,
7,
71,
29
] | 95 | [
"12-7=5",
"71+29=100",
"100-5=95"
] | Current State: 95:[12, 7, 71, 29], Operations: []
Exploring Operation: 12-7=5, Resulting Numbers: [71, 29, 5]
Generated Node #2: [71, 29, 5] from Operation: 12-7=5
Current State: 95:[71, 29, 5], Operations: ['12-7=5']
Exploring Operation: 71+29=100, Resulting Numbers: [5, 100]
Generated Node #3: [5, 100] from Operation: 71+29=100
Current State: 95:[5, 100], Operations: ['12-7=5', '71+29=100']
Exploring Operation: 100-5=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
36,
99,
65,
29
] | 27 | [
"99-36=63",
"65-29=36",
"63-36=27"
] | Current State: 27:[36, 99, 65, 29], Operations: []
Exploring Operation: 99-36=63, Resulting Numbers: [65, 29, 63]
Generated Node #2: [65, 29, 63] from Operation: 99-36=63
Current State: 27:[65, 29, 63], Operations: ['99-36=63']
Exploring Operation: 65-29=36, Resulting Numbers: [63, 36]
Generated Node #3: [63, 36] from Operation: 65-29=36
Current State: 27:[63, 36], Operations: ['99-36=63', '65-29=36']
Exploring Operation: 63-36=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
4,
91,
69,
90
] | 74 | [
"4+91=95",
"90-69=21",
"95-21=74"
] | Current State: 74:[4, 91, 69, 90], Operations: []
Exploring Operation: 4+91=95, Resulting Numbers: [69, 90, 95]
Generated Node #2: [69, 90, 95] from Operation: 4+91=95
Current State: 74:[69, 90, 95], Operations: ['4+91=95']
Exploring Operation: 90-69=21, Resulting Numbers: [95, 21]
Generated Node #3: [95, 21] from Operation: 90-69=21
Current State: 74:[95, 21], Operations: ['4+91=95', '90-69=21']
Exploring Operation: 95-21=74, Resulting Numbers: [74]
74,74 equal: Goal Reached
| 4 |
[
10,
14,
2,
53
] | 87 | [
"10*2=20",
"14+53=67",
"20+67=87"
] | Current State: 87:[10, 14, 2, 53], Operations: []
Exploring Operation: 10*2=20, Resulting Numbers: [14, 53, 20]
Generated Node #2: [14, 53, 20] from Operation: 10*2=20
Current State: 87:[14, 53, 20], Operations: ['10*2=20']
Exploring Operation: 14+53=67, Resulting Numbers: [20, 67]
Generated Node #3: [20, 67] from Operation: 14+53=67
Current State: 87:[20, 67], Operations: ['10*2=20', '14+53=67']
Exploring Operation: 20+67=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
61,
33,
3,
80
] | 55 | [
"61-33=28",
"3+80=83",
"83-28=55"
] | Current State: 55:[61, 33, 3, 80], Operations: []
Exploring Operation: 61-33=28, Resulting Numbers: [3, 80, 28]
Generated Node #2: [3, 80, 28] from Operation: 61-33=28
Current State: 55:[3, 80, 28], Operations: ['61-33=28']
Exploring Operation: 3+80=83, Resulting Numbers: [28, 83]
Generated Node #3: [28, 83] from Operation: 3+80=83
Current State: 55:[28, 83], Operations: ['61-33=28', '3+80=83']
Exploring Operation: 83-28=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
90,
99,
96,
9
] | 45 | [
"96-90=6",
"9*6=54",
"99-54=45"
] | Current State: 45:[90, 99, 96, 9], Operations: []
Exploring Operation: 96-90=6, Resulting Numbers: [99, 9, 6]
Generated Node #2: [99, 9, 6] from Operation: 96-90=6
Current State: 45:[99, 9, 6], Operations: ['96-90=6']
Exploring Operation: 9*6=54, Resulting Numbers: [99, 54]
Generated Node #3: [99, 54] from Operation: 9*6=54
Current State: 45:[99, 54], Operations: ['96-90=6', '9*6=54']
Exploring Operation: 99-54=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
19,
69,
68,
4
] | 61 | [
"19*4=76",
"69+68=137",
"137-76=61"
] | Current State: 61:[19, 69, 68, 4], Operations: []
Exploring Operation: 19*4=76, Resulting Numbers: [69, 68, 76]
Generated Node #2: [69, 68, 76] from Operation: 19*4=76
Current State: 61:[69, 68, 76], Operations: ['19*4=76']
Exploring Operation: 69+68=137, Resulting Numbers: [76, 137]
Generated Node #3: [76, 137] from Operation: 69+68=137
Current State: 61:[76, 137], Operations: ['19*4=76', '69+68=137']
Exploring Operation: 137-76=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
38,
15,
21,
41
] | 22 | [
"41-38=3",
"21/3=7",
"15+7=22"
] | Current State: 22:[38, 15, 21, 41], Operations: []
Exploring Operation: 41-38=3, Resulting Numbers: [15, 21, 3]
Generated Node #2: [15, 21, 3] from Operation: 41-38=3
Current State: 22:[15, 21, 3], Operations: ['41-38=3']
Exploring Operation: 21/3=7, Resulting Numbers: [15, 7]
Generated Node #3: [15, 7] from Operation: 21/3=7
Current State: 22:[15, 7], Operations: ['41-38=3', '21/3=7']
Exploring Operation: 15+7=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
19,
83,
19,
89
] | 44 | [
"83-19=64",
"19+89=108",
"108-64=44"
] | Current State: 44:[19, 83, 19, 89], Operations: []
Exploring Operation: 83-19=64, Resulting Numbers: [89, 64]
Generated Node #2: [89, 64] from Operation: 83-19=64
Current State: 44:[89, 64], Operations: ['83-19=64']
Exploring Operation: 19+89=108, Resulting Numbers: [64, 108]
Generated Node #3: [64, 108] from Operation: 19+89=108
Current State: 44:[64, 108], Operations: ['83-19=64', '19+89=108']
Exploring Operation: 108-64=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
30,
75,
34,
42
] | 93 | [
"34-30=4",
"42*4=168",
"168-75=93"
] | Current State: 93:[30, 75, 34, 42], Operations: []
Exploring Operation: 34-30=4, Resulting Numbers: [75, 42, 4]
Generated Node #2: [75, 42, 4] from Operation: 34-30=4
Current State: 93:[75, 42, 4], Operations: ['34-30=4']
Exploring Operation: 42*4=168, Resulting Numbers: [75, 168]
Generated Node #3: [75, 168] from Operation: 42*4=168
Current State: 93:[75, 168], Operations: ['34-30=4', '42*4=168']
Exploring Operation: 168-75=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
26,
42,
78,
80
] | 10 | [
"80-78=2",
"26*2=52",
"52-42=10"
] | Current State: 10:[26, 42, 78, 80], Operations: []
Exploring Operation: 80-78=2, Resulting Numbers: [26, 42, 2]
Generated Node #2: [26, 42, 2] from Operation: 80-78=2
Current State: 10:[26, 42, 2], Operations: ['80-78=2']
Exploring Operation: 26*2=52, Resulting Numbers: [42, 52]
Generated Node #3: [42, 52] from Operation: 26*2=52
Current State: 10:[42, 52], Operations: ['80-78=2', '26*2=52']
Exploring Operation: 52-42=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
63,
21,
22,
38
] | 100 | [
"63+21=84",
"38-22=16",
"84+16=100"
] | Current State: 100:[63, 21, 22, 38], Operations: []
Exploring Operation: 63+21=84, Resulting Numbers: [22, 38, 84]
Generated Node #2: [22, 38, 84] from Operation: 63+21=84
Current State: 100:[22, 38, 84], Operations: ['63+21=84']
Exploring Operation: 38-22=16, Resulting Numbers: [84, 16]
Generated Node #3: [84, 16] from Operation: 38-22=16
Current State: 100:[84, 16], Operations: ['63+21=84', '38-22=16']
Exploring Operation: 84+16=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
2,
62,
85,
74
] | 53 | [
"2+62=64",
"85-74=11",
"64-11=53"
] | Current State: 53:[2, 62, 85, 74], Operations: []
Exploring Operation: 2+62=64, Resulting Numbers: [85, 74, 64]
Generated Node #2: [85, 74, 64] from Operation: 2+62=64
Current State: 53:[85, 74, 64], Operations: ['2+62=64']
Exploring Operation: 85-74=11, Resulting Numbers: [64, 11]
Generated Node #3: [64, 11] from Operation: 85-74=11
Current State: 53:[64, 11], Operations: ['2+62=64', '85-74=11']
Exploring Operation: 64-11=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
78,
79,
72,
45
] | 28 | [
"79-78=1",
"72-45=27",
"1+27=28"
] | Current State: 28:[78, 79, 72, 45], Operations: []
Exploring Operation: 79-78=1, Resulting Numbers: [72, 45, 1]
Generated Node #2: [72, 45, 1] from Operation: 79-78=1
Current State: 28:[72, 45, 1], Operations: ['79-78=1']
Exploring Operation: 72-45=27, Resulting Numbers: [1, 27]
Generated Node #3: [1, 27] from Operation: 72-45=27
Current State: 28:[1, 27], Operations: ['79-78=1', '72-45=27']
Exploring Operation: 1+27=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
68,
13,
78,
81
] | 84 | [
"68+13=81",
"81-78=3",
"81+3=84"
] | Current State: 84:[68, 13, 78, 81], Operations: []
Exploring Operation: 68+13=81, Resulting Numbers: [78, 81, 81]
Generated Node #2: [78, 81, 81] from Operation: 68+13=81
Current State: 84:[78, 81, 81], Operations: ['68+13=81']
Exploring Operation: 81-78=3, Resulting Numbers: [3]
3,84 equal: Goal Reached
Exploring Operation: 81+3=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
64,
69,
85,
52
] | 28 | [
"69-64=5",
"85-52=33",
"33-5=28"
] | Current State: 28:[64, 69, 85, 52], Operations: []
Exploring Operation: 69-64=5, Resulting Numbers: [85, 52, 5]
Generated Node #2: [85, 52, 5] from Operation: 69-64=5
Current State: 28:[85, 52, 5], Operations: ['69-64=5']
Exploring Operation: 85-52=33, Resulting Numbers: [5, 33]
Generated Node #3: [5, 33] from Operation: 85-52=33
Current State: 28:[5, 33], Operations: ['69-64=5', '85-52=33']
Exploring Operation: 33-5=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
22,
51,
65,
73
] | 66 | [
"22+51=73",
"73/73=1",
"65+1=66"
] | Current State: 66:[22, 51, 65, 73], Operations: []
Exploring Operation: 22+51=73, Resulting Numbers: [65, 73, 73]
Generated Node #2: [65, 73, 73] from Operation: 22+51=73
Current State: 66:[65, 73, 73], Operations: ['22+51=73']
Exploring Operation: 73/73=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 73/73=1
Current State: 66:[65, 1], Operations: ['22+51=73', '73/73=1']
Exploring Operation: 65+1=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
4,
77,
92,
26
] | 44 | [
"92-77=15",
"26-15=11",
"4*11=44"
] | Current State: 44:[4, 77, 92, 26], Operations: []
Exploring Operation: 92-77=15, Resulting Numbers: [4, 26, 15]
Generated Node #2: [4, 26, 15] from Operation: 92-77=15
Current State: 44:[4, 26, 15], Operations: ['92-77=15']
Exploring Operation: 26-15=11, Resulting Numbers: [4, 11]
Generated Node #3: [4, 11] from Operation: 26-15=11
Current State: 44:[4, 11], Operations: ['92-77=15', '26-15=11']
Exploring Operation: 4*11=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
3,
47,
98,
82
] | 28 | [
"47-3=44",
"98-82=16",
"44-16=28"
] | Current State: 28:[3, 47, 98, 82], Operations: []
Exploring Operation: 47-3=44, Resulting Numbers: [98, 82, 44]
Generated Node #2: [98, 82, 44] from Operation: 47-3=44
Current State: 28:[98, 82, 44], Operations: ['47-3=44']
Exploring Operation: 98-82=16, Resulting Numbers: [44, 16]
Generated Node #3: [44, 16] from Operation: 98-82=16
Current State: 28:[44, 16], Operations: ['47-3=44', '98-82=16']
Exploring Operation: 44-16=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
36,
39,
6,
27
] | 47 | [
"36*6=216",
"216/27=8",
"39+8=47"
] | Current State: 47:[36, 39, 6, 27], Operations: []
Exploring Operation: 36*6=216, Resulting Numbers: [39, 27, 216]
Generated Node #2: [39, 27, 216] from Operation: 36*6=216
Current State: 47:[39, 27, 216], Operations: ['36*6=216']
Exploring Operation: 216/27=8, Resulting Numbers: [39, 8]
Generated Node #3: [39, 8] from Operation: 216/27=8
Current State: 47:[39, 8], Operations: ['36*6=216', '216/27=8']
Exploring Operation: 39+8=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
50,
4,
22,
46
] | 53 | [
"50-22=28",
"28/4=7",
"46+7=53"
] | Current State: 53:[50, 4, 22, 46], Operations: []
Exploring Operation: 50-22=28, Resulting Numbers: [4, 46, 28]
Generated Node #2: [4, 46, 28] from Operation: 50-22=28
Current State: 53:[4, 46, 28], Operations: ['50-22=28']
Exploring Operation: 28/4=7, Resulting Numbers: [46, 7]
Generated Node #3: [46, 7] from Operation: 28/4=7
Current State: 53:[46, 7], Operations: ['50-22=28', '28/4=7']
Exploring Operation: 46+7=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
8,
46,
21,
24
] | 18 | [
"8+46=54",
"24-21=3",
"54/3=18"
] | Current State: 18:[8, 46, 21, 24], Operations: []
Exploring Operation: 8+46=54, Resulting Numbers: [21, 24, 54]
Generated Node #2: [21, 24, 54] from Operation: 8+46=54
Current State: 18:[21, 24, 54], Operations: ['8+46=54']
Exploring Operation: 24-21=3, Resulting Numbers: [54, 3]
Generated Node #3: [54, 3] from Operation: 24-21=3
Current State: 18:[54, 3], Operations: ['8+46=54', '24-21=3']
Exploring Operation: 54/3=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
54,
1,
10,
15
] | 29 | [
"54*1=54",
"10+15=25",
"54-25=29"
] | Current State: 29:[54, 1, 10, 15], Operations: []
Exploring Operation: 54*1=54, Resulting Numbers: [10, 15, 54]
Generated Node #2: [10, 15, 54] from Operation: 54*1=54
Current State: 29:[10, 15, 54], Operations: ['54*1=54']
Exploring Operation: 10+15=25, Resulting Numbers: [54, 25]
Generated Node #3: [54, 25] from Operation: 10+15=25
Current State: 29:[54, 25], Operations: ['54*1=54', '10+15=25']
Exploring Operation: 54-25=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
12,
15,
31,
47
] | 19 | [
"15-12=3",
"47-31=16",
"3+16=19"
] | Current State: 19:[12, 15, 31, 47], Operations: []
Exploring Operation: 15-12=3, Resulting Numbers: [31, 47, 3]
Generated Node #2: [31, 47, 3] from Operation: 15-12=3
Current State: 19:[31, 47, 3], Operations: ['15-12=3']
Exploring Operation: 47-31=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 47-31=16
Current State: 19:[3, 16], Operations: ['15-12=3', '47-31=16']
Exploring Operation: 3+16=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
31,
15,
25,
96
] | 75 | [
"31+15=46",
"25+96=121",
"121-46=75"
] | Current State: 75:[31, 15, 25, 96], Operations: []
Exploring Operation: 31+15=46, Resulting Numbers: [25, 96, 46]
Generated Node #2: [25, 96, 46] from Operation: 31+15=46
Current State: 75:[25, 96, 46], Operations: ['31+15=46']
Exploring Operation: 25+96=121, Resulting Numbers: [46, 121]
Generated Node #3: [46, 121] from Operation: 25+96=121
Current State: 75:[46, 121], Operations: ['31+15=46', '25+96=121']
Exploring Operation: 121-46=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
83,
43,
1,
53
] | 12 | [
"83-43=40",
"53-1=52",
"52-40=12"
] | Current State: 12:[83, 43, 1, 53], Operations: []
Exploring Operation: 83-43=40, Resulting Numbers: [1, 53, 40]
Generated Node #2: [1, 53, 40] from Operation: 83-43=40
Current State: 12:[1, 53, 40], Operations: ['83-43=40']
Exploring Operation: 53-1=52, Resulting Numbers: [40, 52]
Generated Node #3: [40, 52] from Operation: 53-1=52
Current State: 12:[40, 52], Operations: ['83-43=40', '53-1=52']
Exploring Operation: 52-40=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
83,
66,
10,
88
] | 68 | [
"88-83=5",
"10/5=2",
"66+2=68"
] | Current State: 68:[83, 66, 10, 88], Operations: []
Exploring Operation: 88-83=5, Resulting Numbers: [66, 10, 5]
Generated Node #2: [66, 10, 5] from Operation: 88-83=5
Current State: 68:[66, 10, 5], Operations: ['88-83=5']
Exploring Operation: 10/5=2, Resulting Numbers: [66, 2]
Generated Node #3: [66, 2] from Operation: 10/5=2
Current State: 68:[66, 2], Operations: ['88-83=5', '10/5=2']
Exploring Operation: 66+2=68, Resulting Numbers: [68]
68,68 equal: Goal Reached
| 4 |
[
93,
96,
43,
84
] | 38 | [
"96-93=3",
"84-43=41",
"41-3=38"
] | Current State: 38:[93, 96, 43, 84], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [43, 84, 3]
Generated Node #2: [43, 84, 3] from Operation: 96-93=3
Current State: 38:[43, 84, 3], Operations: ['96-93=3']
Exploring Operation: 84-43=41, Resulting Numbers: [3, 41]
Generated Node #3: [3, 41] from Operation: 84-43=41
Current State: 38:[3, 41], Operations: ['96-93=3', '84-43=41']
Exploring Operation: 41-3=38, Resulting Numbers: [38]
38,38 equal: Goal Reached
| 4 |
[
53,
81,
93,
48
] | 89 | [
"53+81=134",
"93-48=45",
"134-45=89"
] | Current State: 89:[53, 81, 93, 48], Operations: []
Exploring Operation: 53+81=134, Resulting Numbers: [93, 48, 134]
Generated Node #2: [93, 48, 134] from Operation: 53+81=134
Current State: 89:[93, 48, 134], Operations: ['53+81=134']
Exploring Operation: 93-48=45, Resulting Numbers: [134, 45]
Generated Node #3: [134, 45] from Operation: 93-48=45
Current State: 89:[134, 45], Operations: ['53+81=134', '93-48=45']
Exploring Operation: 134-45=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
98,
87,
99,
58
] | 28 | [
"98+87=185",
"99+58=157",
"185-157=28"
] | Current State: 28:[98, 87, 99, 58], Operations: []
Exploring Operation: 98+87=185, Resulting Numbers: [99, 58, 185]
Generated Node #2: [99, 58, 185] from Operation: 98+87=185
Current State: 28:[99, 58, 185], Operations: ['98+87=185']
Exploring Operation: 99+58=157, Resulting Numbers: [185, 157]
Generated Node #3: [185, 157] from Operation: 99+58=157
Current State: 28:[185, 157], Operations: ['98+87=185', '99+58=157']
Exploring Operation: 185-157=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
35,
86,
33,
93
] | 50 | [
"35-33=2",
"86/2=43",
"93-43=50"
] | Current State: 50:[35, 86, 33, 93], Operations: []
Exploring Operation: 35-33=2, Resulting Numbers: [86, 93, 2]
Generated Node #2: [86, 93, 2] from Operation: 35-33=2
Current State: 50:[86, 93, 2], Operations: ['35-33=2']
Exploring Operation: 86/2=43, Resulting Numbers: [93, 43]
Generated Node #3: [93, 43] from Operation: 86/2=43
Current State: 50:[93, 43], Operations: ['35-33=2', '86/2=43']
Exploring Operation: 93-43=50, Resulting Numbers: [50]
50,50 equal: Goal Reached
| 4 |
[
44,
49,
89,
36
] | 11 | [
"89-49=40",
"40-36=4",
"44/4=11"
] | Current State: 11:[44, 49, 89, 36], Operations: []
Exploring Operation: 89-49=40, Resulting Numbers: [44, 36, 40]
Generated Node #2: [44, 36, 40] from Operation: 89-49=40
Current State: 11:[44, 36, 40], Operations: ['89-49=40']
Exploring Operation: 40-36=4, Resulting Numbers: [44, 4]
Generated Node #3: [44, 4] from Operation: 40-36=4
Current State: 11:[44, 4], Operations: ['89-49=40', '40-36=4']
Exploring Operation: 44/4=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
2,
63,
13,
13
] | 60 | [
"63-2=61",
"13/13=1",
"61-1=60"
] | Current State: 60:[2, 63, 13, 13], Operations: []
Exploring Operation: 63-2=61, Resulting Numbers: [13, 13, 61]
Generated Node #2: [13, 13, 61] from Operation: 63-2=61
Current State: 60:[13, 13, 61], Operations: ['63-2=61']
Exploring Operation: 13/13=1, Resulting Numbers: [61, 1]
Generated Node #3: [61, 1] from Operation: 13/13=1
Current State: 60:[61, 1], Operations: ['63-2=61', '13/13=1']
Exploring Operation: 61-1=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
29,
22,
19,
48
] | 45 | [
"22-19=3",
"48/3=16",
"29+16=45"
] | Current State: 45:[29, 22, 19, 48], Operations: []
Exploring Operation: 22-19=3, Resulting Numbers: [29, 48, 3]
Generated Node #2: [29, 48, 3] from Operation: 22-19=3
Current State: 45:[29, 48, 3], Operations: ['22-19=3']
Exploring Operation: 48/3=16, Resulting Numbers: [29, 16]
Generated Node #3: [29, 16] from Operation: 48/3=16
Current State: 45:[29, 16], Operations: ['22-19=3', '48/3=16']
Exploring Operation: 29+16=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
38,
18,
59,
56
] | 17 | [
"38-18=20",
"59-56=3",
"20-3=17"
] | Current State: 17:[38, 18, 59, 56], Operations: []
Exploring Operation: 38-18=20, Resulting Numbers: [59, 56, 20]
Generated Node #2: [59, 56, 20] from Operation: 38-18=20
Current State: 17:[59, 56, 20], Operations: ['38-18=20']
Exploring Operation: 59-56=3, Resulting Numbers: [20, 3]
Generated Node #3: [20, 3] from Operation: 59-56=3
Current State: 17:[20, 3], Operations: ['38-18=20', '59-56=3']
Exploring Operation: 20-3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
66,
10,
9,
69
] | 72 | [
"69-9=60",
"60/10=6",
"66+6=72"
] | Current State: 72:[66, 10, 9, 69], Operations: []
Exploring Operation: 69-9=60, Resulting Numbers: [66, 10, 60]
Generated Node #2: [66, 10, 60] from Operation: 69-9=60
Current State: 72:[66, 10, 60], Operations: ['69-9=60']
Exploring Operation: 60/10=6, Resulting Numbers: [66, 6]
Generated Node #3: [66, 6] from Operation: 60/10=6
Current State: 72:[66, 6], Operations: ['69-9=60', '60/10=6']
Exploring Operation: 66+6=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
39,
65,
6,
63
] | 47 | [
"39+65=104",
"63-6=57",
"104-57=47"
] | Current State: 47:[39, 65, 6, 63], Operations: []
Exploring Operation: 39+65=104, Resulting Numbers: [6, 63, 104]
Generated Node #2: [6, 63, 104] from Operation: 39+65=104
Current State: 47:[6, 63, 104], Operations: ['39+65=104']
Exploring Operation: 63-6=57, Resulting Numbers: [104, 57]
Generated Node #3: [104, 57] from Operation: 63-6=57
Current State: 47:[104, 57], Operations: ['39+65=104', '63-6=57']
Exploring Operation: 104-57=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
99,
79,
12,
73
] | 93 | [
"99+79=178",
"12+73=85",
"178-85=93"
] | Current State: 93:[99, 79, 12, 73], Operations: []
Exploring Operation: 99+79=178, Resulting Numbers: [12, 73, 178]
Generated Node #2: [12, 73, 178] from Operation: 99+79=178
Current State: 93:[12, 73, 178], Operations: ['99+79=178']
Exploring Operation: 12+73=85, Resulting Numbers: [178, 85]
Generated Node #3: [178, 85] from Operation: 12+73=85
Current State: 93:[178, 85], Operations: ['99+79=178', '12+73=85']
Exploring Operation: 178-85=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
8,
23,
77,
29
] | 93 | [
"23*29=667",
"77+667=744",
"744/8=93"
] | Current State: 93:[8, 23, 77, 29], Operations: []
Exploring Operation: 23*29=667, Resulting Numbers: [8, 77, 667]
Generated Node #2: [8, 77, 667] from Operation: 23*29=667
Current State: 93:[8, 77, 667], Operations: ['23*29=667']
Exploring Operation: 77+667=744, Resulting Numbers: [8, 744]
Generated Node #3: [8, 744] from Operation: 77+667=744
Current State: 93:[8, 744], Operations: ['23*29=667', '77+667=744']
Exploring Operation: 744/8=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
27,
54,
17,
96
] | 77 | [
"54/27=2",
"96-17=79",
"79-2=77"
] | Current State: 77:[27, 54, 17, 96], Operations: []
Exploring Operation: 54/27=2, Resulting Numbers: [17, 96, 2]
Generated Node #2: [17, 96, 2] from Operation: 54/27=2
Current State: 77:[17, 96, 2], Operations: ['54/27=2']
Exploring Operation: 96-17=79, Resulting Numbers: [2, 79]
Generated Node #3: [2, 79] from Operation: 96-17=79
Current State: 77:[2, 79], Operations: ['54/27=2', '96-17=79']
Exploring Operation: 79-2=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
65,
69,
52,
72
] | 21 | [
"65*72=4680",
"4680/52=90",
"90-69=21"
] | Current State: 21:[65, 69, 52, 72], Operations: []
Exploring Operation: 65*72=4680, Resulting Numbers: [69, 52, 4680]
Generated Node #2: [69, 52, 4680] from Operation: 65*72=4680
Current State: 21:[69, 52, 4680], Operations: ['65*72=4680']
Exploring Operation: 4680/52=90, Resulting Numbers: [69, 90]
Generated Node #3: [69, 90] from Operation: 4680/52=90
Current State: 21:[69, 90], Operations: ['65*72=4680', '4680/52=90']
Exploring Operation: 90-69=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
65,
96,
57,
52
] | 52 | [
"65+96=161",
"57+52=109",
"161-109=52"
] | Current State: 52:[65, 96, 57, 52], Operations: []
Exploring Operation: 65+96=161, Resulting Numbers: [57, 52, 161]
Generated Node #2: [57, 52, 161] from Operation: 65+96=161
Current State: 52:[57, 52, 161], Operations: ['65+96=161']
Exploring Operation: 57+52=109, Resulting Numbers: [161, 109]
Generated Node #3: [161, 109] from Operation: 57+52=109
Current State: 52:[161, 109], Operations: ['65+96=161', '57+52=109']
Exploring Operation: 161-109=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
64,
7,
42,
38
] | 63 | [
"64-7=57",
"42*57=2394",
"2394/38=63"
] | Current State: 63:[64, 7, 42, 38], Operations: []
Exploring Operation: 64-7=57, Resulting Numbers: [42, 38, 57]
Generated Node #2: [42, 38, 57] from Operation: 64-7=57
Current State: 63:[42, 38, 57], Operations: ['64-7=57']
Exploring Operation: 42*57=2394, Resulting Numbers: [38, 2394]
Generated Node #3: [38, 2394] from Operation: 42*57=2394
Current State: 63:[38, 2394], Operations: ['64-7=57', '42*57=2394']
Exploring Operation: 2394/38=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
38,
45,
39,
13
] | 53 | [
"45*13=585",
"585/39=15",
"38+15=53"
] | Current State: 53:[38, 45, 39, 13], Operations: []
Exploring Operation: 45*13=585, Resulting Numbers: [38, 39, 585]
Generated Node #2: [38, 39, 585] from Operation: 45*13=585
Current State: 53:[38, 39, 585], Operations: ['45*13=585']
Exploring Operation: 585/39=15, Resulting Numbers: [38, 15]
Generated Node #3: [38, 15] from Operation: 585/39=15
Current State: 53:[38, 15], Operations: ['45*13=585', '585/39=15']
Exploring Operation: 38+15=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
2,
1,
35,
25
] | 87 | [
"1+25=26",
"2*26=52",
"35+52=87"
] | Current State: 87:[2, 1, 35, 25], Operations: []
Exploring Operation: 1+25=26, Resulting Numbers: [2, 35, 26]
Generated Node #2: [2, 35, 26] from Operation: 1+25=26
Current State: 87:[2, 35, 26], Operations: ['1+25=26']
Exploring Operation: 2*26=52, Resulting Numbers: [35, 52]
Generated Node #3: [35, 52] from Operation: 2*26=52
Current State: 87:[35, 52], Operations: ['1+25=26', '2*26=52']
Exploring Operation: 35+52=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
55,
4,
56,
11
] | 96 | [
"55-4=51",
"56-11=45",
"51+45=96"
] | Current State: 96:[55, 4, 56, 11], Operations: []
Exploring Operation: 55-4=51, Resulting Numbers: [56, 11, 51]
Generated Node #2: [56, 11, 51] from Operation: 55-4=51
Current State: 96:[56, 11, 51], Operations: ['55-4=51']
Exploring Operation: 56-11=45, Resulting Numbers: [51, 45]
Generated Node #3: [51, 45] from Operation: 56-11=45
Current State: 96:[51, 45], Operations: ['55-4=51', '56-11=45']
Exploring Operation: 51+45=96, Resulting Numbers: [96]
96,96 equal: Goal Reached
| 4 |
[
45,
69,
17,
27
] | 69 | [
"45-17=28",
"28-27=1",
"69*1=69"
] | Current State: 69:[45, 69, 17, 27], Operations: []
Exploring Operation: 45-17=28, Resulting Numbers: [69, 27, 28]
Generated Node #2: [69, 27, 28] from Operation: 45-17=28
Current State: 69:[69, 27, 28], Operations: ['45-17=28']
Exploring Operation: 28-27=1, Resulting Numbers: [69, 1]
Generated Node #3: [69, 1] from Operation: 28-27=1
Current State: 69:[69, 1], Operations: ['45-17=28', '28-27=1']
Exploring Operation: 69*1=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
41,
17,
95,
8
] | 64 | [
"41+95=136",
"136/17=8",
"8*8=64"
] | Current State: 64:[41, 17, 95, 8], Operations: []
Exploring Operation: 41+95=136, Resulting Numbers: [17, 8, 136]
Generated Node #2: [17, 8, 136] from Operation: 41+95=136
Current State: 64:[17, 8, 136], Operations: ['41+95=136']
Exploring Operation: 136/17=8, Resulting Numbers: [8, 8]
Generated Node #3: [8, 8] from Operation: 136/17=8
Current State: 64:[8, 8], Operations: ['41+95=136', '136/17=8']
Exploring Operation: 8*8=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
14,
72,
44,
10
] | 47 | [
"14+10=24",
"72/24=3",
"44+3=47"
] | Current State: 47:[14, 72, 44, 10], Operations: []
Exploring Operation: 14+10=24, Resulting Numbers: [72, 44, 24]
Generated Node #2: [72, 44, 24] from Operation: 14+10=24
Current State: 47:[72, 44, 24], Operations: ['14+10=24']
Exploring Operation: 72/24=3, Resulting Numbers: [44, 3]
Generated Node #3: [44, 3] from Operation: 72/24=3
Current State: 47:[44, 3], Operations: ['14+10=24', '72/24=3']
Exploring Operation: 44+3=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
12,
77,
52,
53
] | 64 | [
"77-12=65",
"53-52=1",
"65-1=64"
] | Current State: 64:[12, 77, 52, 53], Operations: []
Exploring Operation: 77-12=65, Resulting Numbers: [52, 53, 65]
Generated Node #2: [52, 53, 65] from Operation: 77-12=65
Current State: 64:[52, 53, 65], Operations: ['77-12=65']
Exploring Operation: 53-52=1, Resulting Numbers: [65, 1]
Generated Node #3: [65, 1] from Operation: 53-52=1
Current State: 64:[65, 1], Operations: ['77-12=65', '53-52=1']
Exploring Operation: 65-1=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
88,
18,
75,
24
] | 55 | [
"88+18=106",
"75-24=51",
"106-51=55"
] | Current State: 55:[88, 18, 75, 24], Operations: []
Exploring Operation: 88+18=106, Resulting Numbers: [75, 24, 106]
Generated Node #2: [75, 24, 106] from Operation: 88+18=106
Current State: 55:[75, 24, 106], Operations: ['88+18=106']
Exploring Operation: 75-24=51, Resulting Numbers: [106, 51]
Generated Node #3: [106, 51] from Operation: 75-24=51
Current State: 55:[106, 51], Operations: ['88+18=106', '75-24=51']
Exploring Operation: 106-51=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
68,
93,
96,
1
] | 72 | [
"93-68=25",
"96+1=97",
"97-25=72"
] | Current State: 72:[68, 93, 96, 1], Operations: []
Exploring Operation: 93-68=25, Resulting Numbers: [96, 1, 25]
Generated Node #2: [96, 1, 25] from Operation: 93-68=25
Current State: 72:[96, 1, 25], Operations: ['93-68=25']
Exploring Operation: 96+1=97, Resulting Numbers: [25, 97]
Generated Node #3: [25, 97] from Operation: 96+1=97
Current State: 72:[25, 97], Operations: ['93-68=25', '96+1=97']
Exploring Operation: 97-25=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
11,
60,
75,
87
] | 95 | [
"87-11=76",
"75*76=5700",
"5700/60=95"
] | Current State: 95:[11, 60, 75, 87], Operations: []
Exploring Operation: 87-11=76, Resulting Numbers: [60, 75, 76]
Generated Node #2: [60, 75, 76] from Operation: 87-11=76
Current State: 95:[60, 75, 76], Operations: ['87-11=76']
Exploring Operation: 75*76=5700, Resulting Numbers: [60, 5700]
Generated Node #3: [60, 5700] from Operation: 75*76=5700
Current State: 95:[60, 5700], Operations: ['87-11=76', '75*76=5700']
Exploring Operation: 5700/60=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
65,
62,
82,
19
] | 11 | [
"65+62=127",
"82+127=209",
"209/19=11"
] | Current State: 11:[65, 62, 82, 19], Operations: []
Exploring Operation: 65+62=127, Resulting Numbers: [82, 19, 127]
Generated Node #2: [82, 19, 127] from Operation: 65+62=127
Current State: 11:[82, 19, 127], Operations: ['65+62=127']
Exploring Operation: 82+127=209, Resulting Numbers: [19, 209]
Generated Node #3: [19, 209] from Operation: 82+127=209
Current State: 11:[19, 209], Operations: ['65+62=127', '82+127=209']
Exploring Operation: 209/19=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
54,
17,
51,
79
] | 43 | [
"54+17=71",
"79-51=28",
"71-28=43"
] | Current State: 43:[54, 17, 51, 79], Operations: []
Exploring Operation: 54+17=71, Resulting Numbers: [51, 79, 71]
Generated Node #2: [51, 79, 71] from Operation: 54+17=71
Current State: 43:[51, 79, 71], Operations: ['54+17=71']
Exploring Operation: 79-51=28, Resulting Numbers: [71, 28]
Generated Node #3: [71, 28] from Operation: 79-51=28
Current State: 43:[71, 28], Operations: ['54+17=71', '79-51=28']
Exploring Operation: 71-28=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
50,
1,
97,
31
] | 79 | [
"50-1=49",
"97+31=128",
"128-49=79"
] | Current State: 79:[50, 1, 97, 31], Operations: []
Exploring Operation: 50-1=49, Resulting Numbers: [97, 31, 49]
Generated Node #2: [97, 31, 49] from Operation: 50-1=49
Current State: 79:[97, 31, 49], Operations: ['50-1=49']
Exploring Operation: 97+31=128, Resulting Numbers: [49, 128]
Generated Node #3: [49, 128] from Operation: 97+31=128
Current State: 79:[49, 128], Operations: ['50-1=49', '97+31=128']
Exploring Operation: 128-49=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
40,
15,
49,
20
] | 83 | [
"40*49=1960",
"1960/20=98",
"98-15=83"
] | Current State: 83:[40, 15, 49, 20], Operations: []
Exploring Operation: 40*49=1960, Resulting Numbers: [15, 20, 1960]
Generated Node #2: [15, 20, 1960] from Operation: 40*49=1960
Current State: 83:[15, 20, 1960], Operations: ['40*49=1960']
Exploring Operation: 1960/20=98, Resulting Numbers: [15, 98]
Generated Node #3: [15, 98] from Operation: 1960/20=98
Current State: 83:[15, 98], Operations: ['40*49=1960', '1960/20=98']
Exploring Operation: 98-15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
22,
38,
11,
11
] | 59 | [
"22+38=60",
"11/11=1",
"60-1=59"
] | Current State: 59:[22, 38, 11, 11], Operations: []
Exploring Operation: 22+38=60, Resulting Numbers: [11, 11, 60]
Generated Node #2: [11, 11, 60] from Operation: 22+38=60
Current State: 59:[11, 11, 60], Operations: ['22+38=60']
Exploring Operation: 11/11=1, Resulting Numbers: [60, 1]
Generated Node #3: [60, 1] from Operation: 11/11=1
Current State: 59:[60, 1], Operations: ['22+38=60', '11/11=1']
Exploring Operation: 60-1=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
27,
28,
46,
9
] | 18 | [
"27+28=55",
"46-9=37",
"55-37=18"
] | Current State: 18:[27, 28, 46, 9], Operations: []
Exploring Operation: 27+28=55, Resulting Numbers: [46, 9, 55]
Generated Node #2: [46, 9, 55] from Operation: 27+28=55
Current State: 18:[46, 9, 55], Operations: ['27+28=55']
Exploring Operation: 46-9=37, Resulting Numbers: [55, 37]
Generated Node #3: [55, 37] from Operation: 46-9=37
Current State: 18:[55, 37], Operations: ['27+28=55', '46-9=37']
Exploring Operation: 55-37=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
75,
23,
60,
60
] | 19 | [
"75-60=15",
"60/15=4",
"23-4=19"
] | Current State: 19:[75, 23, 60, 60], Operations: []
Exploring Operation: 75-60=15, Resulting Numbers: [23, 15]
Generated Node #2: [23, 15] from Operation: 75-60=15
Current State: 19:[23, 15], Operations: ['75-60=15']
Exploring Operation: 60/15=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 60/15=4
Current State: 19:[23, 4], Operations: ['75-60=15', '60/15=4']
Exploring Operation: 23-4=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
45,
92,
8,
46
] | 98 | [
"45*92=4140",
"4140/46=90",
"8+90=98"
] | Current State: 98:[45, 92, 8, 46], Operations: []
Exploring Operation: 45*92=4140, Resulting Numbers: [8, 46, 4140]
Generated Node #2: [8, 46, 4140] from Operation: 45*92=4140
Current State: 98:[8, 46, 4140], Operations: ['45*92=4140']
Exploring Operation: 4140/46=90, Resulting Numbers: [8, 90]
Generated Node #3: [8, 90] from Operation: 4140/46=90
Current State: 98:[8, 90], Operations: ['45*92=4140', '4140/46=90']
Exploring Operation: 8+90=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
21,
87,
29,
84
] | 29 | [
"84/21=4",
"87+29=116",
"116/4=29"
] | Current State: 29:[21, 87, 29, 84], Operations: []
Exploring Operation: 84/21=4, Resulting Numbers: [87, 29, 4]
Generated Node #2: [87, 29, 4] from Operation: 84/21=4
Current State: 29:[87, 29, 4], Operations: ['84/21=4']
Exploring Operation: 87+29=116, Resulting Numbers: [4, 116]
Generated Node #3: [4, 116] from Operation: 87+29=116
Current State: 29:[4, 116], Operations: ['84/21=4', '87+29=116']
Exploring Operation: 116/4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
3,
3,
25,
54
] | 46 | [
"3+25=28",
"54/3=18",
"28+18=46"
] | Current State: 46:[3, 3, 25, 54], Operations: []
Exploring Operation: 3+25=28, Resulting Numbers: [54, 28]
Generated Node #2: [54, 28] from Operation: 3+25=28
Current State: 46:[54, 28], Operations: ['3+25=28']
Exploring Operation: 54/3=18, Resulting Numbers: [28, 18]
Generated Node #3: [28, 18] from Operation: 54/3=18
Current State: 46:[28, 18], Operations: ['3+25=28', '54/3=18']
Exploring Operation: 28+18=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
72,
86,
21,
42
] | 28 | [
"86-72=14",
"42/21=2",
"14*2=28"
] | Current State: 28:[72, 86, 21, 42], Operations: []
Exploring Operation: 86-72=14, Resulting Numbers: [21, 42, 14]
Generated Node #2: [21, 42, 14] from Operation: 86-72=14
Current State: 28:[21, 42, 14], Operations: ['86-72=14']
Exploring Operation: 42/21=2, Resulting Numbers: [14, 2]
Generated Node #3: [14, 2] from Operation: 42/21=2
Current State: 28:[14, 2], Operations: ['86-72=14', '42/21=2']
Exploring Operation: 14*2=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
62,
2,
84,
86
] | 18 | [
"86-62=24",
"84/2=42",
"42-24=18"
] | Current State: 18:[62, 2, 84, 86], Operations: []
Exploring Operation: 86-62=24, Resulting Numbers: [2, 84, 24]
Generated Node #2: [2, 84, 24] from Operation: 86-62=24
Current State: 18:[2, 84, 24], Operations: ['86-62=24']
Exploring Operation: 84/2=42, Resulting Numbers: [24, 42]
Generated Node #3: [24, 42] from Operation: 84/2=42
Current State: 18:[24, 42], Operations: ['86-62=24', '84/2=42']
Exploring Operation: 42-24=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
12,
21,
38,
36
] | 62 | [
"36/12=3",
"21+38=59",
"3+59=62"
] | Current State: 62:[12, 21, 38, 36], Operations: []
Exploring Operation: 36/12=3, Resulting Numbers: [21, 38, 3]
Generated Node #2: [21, 38, 3] from Operation: 36/12=3
Current State: 62:[21, 38, 3], Operations: ['36/12=3']
Exploring Operation: 21+38=59, Resulting Numbers: [3, 59]
Generated Node #3: [3, 59] from Operation: 21+38=59
Current State: 62:[3, 59], Operations: ['36/12=3', '21+38=59']
Exploring Operation: 3+59=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
82,
16,
79,
17
] | 11 | [
"82-79=3",
"16+17=33",
"33/3=11"
] | Current State: 11:[82, 16, 79, 17], Operations: []
Exploring Operation: 82-79=3, Resulting Numbers: [16, 17, 3]
Generated Node #2: [16, 17, 3] from Operation: 82-79=3
Current State: 11:[16, 17, 3], Operations: ['82-79=3']
Exploring Operation: 16+17=33, Resulting Numbers: [3, 33]
Generated Node #3: [3, 33] from Operation: 16+17=33
Current State: 11:[3, 33], Operations: ['82-79=3', '16+17=33']
Exploring Operation: 33/3=11, Resulting Numbers: [11]
11,11 equal: Goal Reached
| 4 |
[
1,
86,
70,
3
] | 48 | [
"1*86=86",
"86-70=16",
"3*16=48"
] | Current State: 48:[1, 86, 70, 3], Operations: []
Exploring Operation: 1*86=86, Resulting Numbers: [70, 3, 86]
Generated Node #2: [70, 3, 86] from Operation: 1*86=86
Current State: 48:[70, 3, 86], Operations: ['1*86=86']
Exploring Operation: 86-70=16, Resulting Numbers: [3, 16]
Generated Node #3: [3, 16] from Operation: 86-70=16
Current State: 48:[3, 16], Operations: ['1*86=86', '86-70=16']
Exploring Operation: 3*16=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
68,
21,
4,
63
] | 12 | [
"68-21=47",
"63-4=59",
"59-47=12"
] | Current State: 12:[68, 21, 4, 63], Operations: []
Exploring Operation: 68-21=47, Resulting Numbers: [4, 63, 47]
Generated Node #2: [4, 63, 47] from Operation: 68-21=47
Current State: 12:[4, 63, 47], Operations: ['68-21=47']
Exploring Operation: 63-4=59, Resulting Numbers: [47, 59]
Generated Node #3: [47, 59] from Operation: 63-4=59
Current State: 12:[47, 59], Operations: ['68-21=47', '63-4=59']
Exploring Operation: 59-47=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
3,
12,
61,
38
] | 92 | [
"12/3=4",
"61-38=23",
"4*23=92"
] | Current State: 92:[3, 12, 61, 38], Operations: []
Exploring Operation: 12/3=4, Resulting Numbers: [61, 38, 4]
Generated Node #2: [61, 38, 4] from Operation: 12/3=4
Current State: 92:[61, 38, 4], Operations: ['12/3=4']
Exploring Operation: 61-38=23, Resulting Numbers: [4, 23]
Generated Node #3: [4, 23] from Operation: 61-38=23
Current State: 92:[4, 23], Operations: ['12/3=4', '61-38=23']
Exploring Operation: 4*23=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
42,
60,
4,
2
] | 64 | [
"60-42=18",
"18-2=16",
"4*16=64"
] | Current State: 64:[42, 60, 4, 2], Operations: []
Exploring Operation: 60-42=18, Resulting Numbers: [4, 2, 18]
Generated Node #2: [4, 2, 18] from Operation: 60-42=18
Current State: 64:[4, 2, 18], Operations: ['60-42=18']
Exploring Operation: 18-2=16, Resulting Numbers: [4, 16]
Generated Node #3: [4, 16] from Operation: 18-2=16
Current State: 64:[4, 16], Operations: ['60-42=18', '18-2=16']
Exploring Operation: 4*16=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
2,
17,
68,
47
] | 83 | [
"47-17=30",
"30/2=15",
"68+15=83"
] | Current State: 83:[2, 17, 68, 47], Operations: []
Exploring Operation: 47-17=30, Resulting Numbers: [2, 68, 30]
Generated Node #2: [2, 68, 30] from Operation: 47-17=30
Current State: 83:[2, 68, 30], Operations: ['47-17=30']
Exploring Operation: 30/2=15, Resulting Numbers: [68, 15]
Generated Node #3: [68, 15] from Operation: 30/2=15
Current State: 83:[68, 15], Operations: ['47-17=30', '30/2=15']
Exploring Operation: 68+15=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
67,
74,
91,
57
] | 44 | [
"74-67=7",
"91/7=13",
"57-13=44"
] | Current State: 44:[67, 74, 91, 57], Operations: []
Exploring Operation: 74-67=7, Resulting Numbers: [91, 57, 7]
Generated Node #2: [91, 57, 7] from Operation: 74-67=7
Current State: 44:[91, 57, 7], Operations: ['74-67=7']
Exploring Operation: 91/7=13, Resulting Numbers: [57, 13]
Generated Node #3: [57, 13] from Operation: 91/7=13
Current State: 44:[57, 13], Operations: ['74-67=7', '91/7=13']
Exploring Operation: 57-13=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
11,
7,
68,
55
] | 66 | [
"55/11=5",
"68-7=61",
"5+61=66"
] | Current State: 66:[11, 7, 68, 55], Operations: []
Exploring Operation: 55/11=5, Resulting Numbers: [7, 68, 5]
Generated Node #2: [7, 68, 5] from Operation: 55/11=5
Current State: 66:[7, 68, 5], Operations: ['55/11=5']
Exploring Operation: 68-7=61, Resulting Numbers: [5, 61]
Generated Node #3: [5, 61] from Operation: 68-7=61
Current State: 66:[5, 61], Operations: ['55/11=5', '68-7=61']
Exploring Operation: 5+61=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
4,
42,
96,
31
] | 13 | [
"96/4=24",
"42-31=11",
"24-11=13"
] | Current State: 13:[4, 42, 96, 31], Operations: []
Exploring Operation: 96/4=24, Resulting Numbers: [42, 31, 24]
Generated Node #2: [42, 31, 24] from Operation: 96/4=24
Current State: 13:[42, 31, 24], Operations: ['96/4=24']
Exploring Operation: 42-31=11, Resulting Numbers: [24, 11]
Generated Node #3: [24, 11] from Operation: 42-31=11
Current State: 13:[24, 11], Operations: ['96/4=24', '42-31=11']
Exploring Operation: 24-11=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
51,
68,
30,
20
] | 10 | [
"68-51=17",
"20-17=3",
"30/3=10"
] | Current State: 10:[51, 68, 30, 20], Operations: []
Exploring Operation: 68-51=17, Resulting Numbers: [30, 20, 17]
Generated Node #2: [30, 20, 17] from Operation: 68-51=17
Current State: 10:[30, 20, 17], Operations: ['68-51=17']
Exploring Operation: 20-17=3, Resulting Numbers: [30, 3]
Generated Node #3: [30, 3] from Operation: 20-17=3
Current State: 10:[30, 3], Operations: ['68-51=17', '20-17=3']
Exploring Operation: 30/3=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
1,
3,
43,
87
] | 43 | [
"43-1=42",
"87+42=129",
"129/3=43"
] | Current State: 43:[1, 3, 43, 87], Operations: []
Exploring Operation: 43-1=42, Resulting Numbers: [3, 87, 42]
Generated Node #2: [3, 87, 42] from Operation: 43-1=42
Current State: 43:[3, 87, 42], Operations: ['43-1=42']
Exploring Operation: 87+42=129, Resulting Numbers: [3, 129]
Generated Node #3: [3, 129] from Operation: 87+42=129
Current State: 43:[3, 129], Operations: ['43-1=42', '87+42=129']
Exploring Operation: 129/3=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
74,
32,
23,
98
] | 79 | [
"74-32=42",
"23+98=121",
"121-42=79"
] | Current State: 79:[74, 32, 23, 98], Operations: []
Exploring Operation: 74-32=42, Resulting Numbers: [23, 98, 42]
Generated Node #2: [23, 98, 42] from Operation: 74-32=42
Current State: 79:[23, 98, 42], Operations: ['74-32=42']
Exploring Operation: 23+98=121, Resulting Numbers: [42, 121]
Generated Node #3: [42, 121] from Operation: 23+98=121
Current State: 79:[42, 121], Operations: ['74-32=42', '23+98=121']
Exploring Operation: 121-42=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
1,
97,
74,
31
] | 54 | [
"1*97=97",
"74-31=43",
"97-43=54"
] | Current State: 54:[1, 97, 74, 31], Operations: []
Exploring Operation: 1*97=97, Resulting Numbers: [74, 31, 97]
Generated Node #2: [74, 31, 97] from Operation: 1*97=97
Current State: 54:[74, 31, 97], Operations: ['1*97=97']
Exploring Operation: 74-31=43, Resulting Numbers: [97, 43]
Generated Node #3: [97, 43] from Operation: 74-31=43
Current State: 54:[97, 43], Operations: ['1*97=97', '74-31=43']
Exploring Operation: 97-43=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
45,
55,
28,
54
] | 94 | [
"55*54=2970",
"2970/45=66",
"28+66=94"
] | Current State: 94:[45, 55, 28, 54], Operations: []
Exploring Operation: 55*54=2970, Resulting Numbers: [45, 28, 2970]
Generated Node #2: [45, 28, 2970] from Operation: 55*54=2970
Current State: 94:[45, 28, 2970], Operations: ['55*54=2970']
Exploring Operation: 2970/45=66, Resulting Numbers: [28, 66]
Generated Node #3: [28, 66] from Operation: 2970/45=66
Current State: 94:[28, 66], Operations: ['55*54=2970', '2970/45=66']
Exploring Operation: 28+66=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
7,
62,
86,
80
] | 61 | [
"62-7=55",
"86-80=6",
"55+6=61"
] | Current State: 61:[7, 62, 86, 80], Operations: []
Exploring Operation: 62-7=55, Resulting Numbers: [86, 80, 55]
Generated Node #2: [86, 80, 55] from Operation: 62-7=55
Current State: 61:[86, 80, 55], Operations: ['62-7=55']
Exploring Operation: 86-80=6, Resulting Numbers: [55, 6]
Generated Node #3: [55, 6] from Operation: 86-80=6
Current State: 61:[55, 6], Operations: ['62-7=55', '86-80=6']
Exploring Operation: 55+6=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
34,
20,
87,
29
] | 17 | [
"34-20=14",
"87/29=3",
"14+3=17"
] | Current State: 17:[34, 20, 87, 29], Operations: []
Exploring Operation: 34-20=14, Resulting Numbers: [87, 29, 14]
Generated Node #2: [87, 29, 14] from Operation: 34-20=14
Current State: 17:[87, 29, 14], Operations: ['34-20=14']
Exploring Operation: 87/29=3, Resulting Numbers: [14, 3]
Generated Node #3: [14, 3] from Operation: 87/29=3
Current State: 17:[14, 3], Operations: ['34-20=14', '87/29=3']
Exploring Operation: 14+3=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
85,
12,
48,
61
] | 86 | [
"85-12=73",
"61-48=13",
"73+13=86"
] | Current State: 86:[85, 12, 48, 61], Operations: []
Exploring Operation: 85-12=73, Resulting Numbers: [48, 61, 73]
Generated Node #2: [48, 61, 73] from Operation: 85-12=73
Current State: 86:[48, 61, 73], Operations: ['85-12=73']
Exploring Operation: 61-48=13, Resulting Numbers: [73, 13]
Generated Node #3: [73, 13] from Operation: 61-48=13
Current State: 86:[73, 13], Operations: ['85-12=73', '61-48=13']
Exploring Operation: 73+13=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
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