nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
3,
79,
11,
18
] | 53 | [
"3+79=82",
"11+18=29",
"82-29=53"
] | Current State: 53:[3, 79, 11, 18], Operations: []
Exploring Operation: 3+79=82, Resulting Numbers: [11, 18, 82]
Generated Node #2: [11, 18, 82] from Operation: 3+79=82
Current State: 53:[11, 18, 82], Operations: ['3+79=82']
Exploring Operation: 11+18=29, Resulting Numbers: [82, 29]
Generated Node #3: [82, 29] from Operation: 11+18=29
Current State: 53:[82, 29], Operations: ['3+79=82', '11+18=29']
Exploring Operation: 82-29=53, Resulting Numbers: [53]
53,53 equal: Goal Reached
| 4 |
[
82,
31,
98,
66
] | 82 | [
"98-31=67",
"67-66=1",
"82*1=82"
] | Current State: 82:[82, 31, 98, 66], Operations: []
Exploring Operation: 98-31=67, Resulting Numbers: [82, 66, 67]
Generated Node #2: [82, 66, 67] from Operation: 98-31=67
Current State: 82:[82, 66, 67], Operations: ['98-31=67']
Exploring Operation: 67-66=1, Resulting Numbers: [82, 1]
Generated Node #3: [82, 1] from Operation: 67-66=1
Current State: 82:[82, 1], Operations: ['98-31=67', '67-66=1']
Exploring Operation: 82*1=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
73,
37,
89,
40
] | 19 | [
"73+37=110",
"89+40=129",
"129-110=19"
] | Current State: 19:[73, 37, 89, 40], Operations: []
Exploring Operation: 73+37=110, Resulting Numbers: [89, 40, 110]
Generated Node #2: [89, 40, 110] from Operation: 73+37=110
Current State: 19:[89, 40, 110], Operations: ['73+37=110']
Exploring Operation: 89+40=129, Resulting Numbers: [110, 129]
Generated Node #3: [110, 129] from Operation: 89+40=129
Current State: 19:[110, 129], Operations: ['73+37=110', '89+40=129']
Exploring Operation: 129-110=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
89,
77,
70,
2
] | 98 | [
"89+77=166",
"70-2=68",
"166-68=98"
] | Current State: 98:[89, 77, 70, 2], Operations: []
Exploring Operation: 89+77=166, Resulting Numbers: [70, 2, 166]
Generated Node #2: [70, 2, 166] from Operation: 89+77=166
Current State: 98:[70, 2, 166], Operations: ['89+77=166']
Exploring Operation: 70-2=68, Resulting Numbers: [166, 68]
Generated Node #3: [166, 68] from Operation: 70-2=68
Current State: 98:[166, 68], Operations: ['89+77=166', '70-2=68']
Exploring Operation: 166-68=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
77,
20,
70,
67
] | 94 | [
"77+20=97",
"70-67=3",
"97-3=94"
] | Current State: 94:[77, 20, 70, 67], Operations: []
Exploring Operation: 77+20=97, Resulting Numbers: [70, 67, 97]
Generated Node #2: [70, 67, 97] from Operation: 77+20=97
Current State: 94:[70, 67, 97], Operations: ['77+20=97']
Exploring Operation: 70-67=3, Resulting Numbers: [97, 3]
Generated Node #3: [97, 3] from Operation: 70-67=3
Current State: 94:[97, 3], Operations: ['77+20=97', '70-67=3']
Exploring Operation: 97-3=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
79,
6,
11,
99
] | 100 | [
"99-79=20",
"11-6=5",
"20*5=100"
] | Current State: 100:[79, 6, 11, 99], Operations: []
Exploring Operation: 99-79=20, Resulting Numbers: [6, 11, 20]
Generated Node #2: [6, 11, 20] from Operation: 99-79=20
Current State: 100:[6, 11, 20], Operations: ['99-79=20']
Exploring Operation: 11-6=5, Resulting Numbers: [20, 5]
Generated Node #3: [20, 5] from Operation: 11-6=5
Current State: 100:[20, 5], Operations: ['99-79=20', '11-6=5']
Exploring Operation: 20*5=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
86,
42,
54,
23
] | 97 | [
"86+42=128",
"54-23=31",
"128-31=97"
] | Current State: 97:[86, 42, 54, 23], Operations: []
Exploring Operation: 86+42=128, Resulting Numbers: [54, 23, 128]
Generated Node #2: [54, 23, 128] from Operation: 86+42=128
Current State: 97:[54, 23, 128], Operations: ['86+42=128']
Exploring Operation: 54-23=31, Resulting Numbers: [128, 31]
Generated Node #3: [128, 31] from Operation: 54-23=31
Current State: 97:[128, 31], Operations: ['86+42=128', '54-23=31']
Exploring Operation: 128-31=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
48,
48,
26,
90
] | 36 | [
"48*48=2304",
"26*90=2340",
"2340-2304=36"
] | Current State: 36:[48, 48, 26, 90], Operations: []
Exploring Operation: 48*48=2304, Resulting Numbers: [26, 90, 2304]
Generated Node #2: [26, 90, 2304] from Operation: 48*48=2304
Current State: 36:[26, 90, 2304], Operations: ['48*48=2304']
Exploring Operation: 26*90=2340, Resulting Numbers: [2304, 2340]
Generated Node #3: [2304, 2340] from Operation: 26*90=2340
Current State: 36:[2304, 2340], Operations: ['48*48=2304', '26*90=2340']
Exploring Operation: 2340-2304=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
9,
55,
63,
7
] | 59 | [
"9-7=2",
"55+63=118",
"118/2=59"
] | Current State: 59:[9, 55, 63, 7], Operations: []
Exploring Operation: 9-7=2, Resulting Numbers: [55, 63, 2]
Generated Node #2: [55, 63, 2] from Operation: 9-7=2
Current State: 59:[55, 63, 2], Operations: ['9-7=2']
Exploring Operation: 55+63=118, Resulting Numbers: [2, 118]
Generated Node #3: [2, 118] from Operation: 55+63=118
Current State: 59:[2, 118], Operations: ['9-7=2', '55+63=118']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
18,
8,
88,
21
] | 64 | [
"21-18=3",
"8*3=24",
"88-24=64"
] | Current State: 64:[18, 8, 88, 21], Operations: []
Exploring Operation: 21-18=3, Resulting Numbers: [8, 88, 3]
Generated Node #2: [8, 88, 3] from Operation: 21-18=3
Current State: 64:[8, 88, 3], Operations: ['21-18=3']
Exploring Operation: 8*3=24, Resulting Numbers: [88, 24]
Generated Node #3: [88, 24] from Operation: 8*3=24
Current State: 64:[88, 24], Operations: ['21-18=3', '8*3=24']
Exploring Operation: 88-24=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
46,
18,
28,
37
] | 30 | [
"46-37=9",
"18/9=2",
"28+2=30"
] | Current State: 30:[46, 18, 28, 37], Operations: []
Exploring Operation: 46-37=9, Resulting Numbers: [18, 28, 9]
Generated Node #2: [18, 28, 9] from Operation: 46-37=9
Current State: 30:[18, 28, 9], Operations: ['46-37=9']
Exploring Operation: 18/9=2, Resulting Numbers: [28, 2]
Generated Node #3: [28, 2] from Operation: 18/9=2
Current State: 30:[28, 2], Operations: ['46-37=9', '18/9=2']
Exploring Operation: 28+2=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
82,
21,
98,
80
] | 85 | [
"82+21=103",
"98-80=18",
"103-18=85"
] | Current State: 85:[82, 21, 98, 80], Operations: []
Exploring Operation: 82+21=103, Resulting Numbers: [98, 80, 103]
Generated Node #2: [98, 80, 103] from Operation: 82+21=103
Current State: 85:[98, 80, 103], Operations: ['82+21=103']
Exploring Operation: 98-80=18, Resulting Numbers: [103, 18]
Generated Node #3: [103, 18] from Operation: 98-80=18
Current State: 85:[103, 18], Operations: ['82+21=103', '98-80=18']
Exploring Operation: 103-18=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
10,
91,
59,
68
] | 46 | [
"91-10=81",
"59+68=127",
"127-81=46"
] | Current State: 46:[10, 91, 59, 68], Operations: []
Exploring Operation: 91-10=81, Resulting Numbers: [59, 68, 81]
Generated Node #2: [59, 68, 81] from Operation: 91-10=81
Current State: 46:[59, 68, 81], Operations: ['91-10=81']
Exploring Operation: 59+68=127, Resulting Numbers: [81, 127]
Generated Node #3: [81, 127] from Operation: 59+68=127
Current State: 46:[81, 127], Operations: ['91-10=81', '59+68=127']
Exploring Operation: 127-81=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
31,
82,
46,
29
] | 34 | [
"82-31=51",
"46-29=17",
"51-17=34"
] | Current State: 34:[31, 82, 46, 29], Operations: []
Exploring Operation: 82-31=51, Resulting Numbers: [46, 29, 51]
Generated Node #2: [46, 29, 51] from Operation: 82-31=51
Current State: 34:[46, 29, 51], Operations: ['82-31=51']
Exploring Operation: 46-29=17, Resulting Numbers: [51, 17]
Generated Node #3: [51, 17] from Operation: 46-29=17
Current State: 34:[51, 17], Operations: ['82-31=51', '46-29=17']
Exploring Operation: 51-17=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
73,
23,
30,
69
] | 89 | [
"73-23=50",
"69-30=39",
"50+39=89"
] | Current State: 89:[73, 23, 30, 69], Operations: []
Exploring Operation: 73-23=50, Resulting Numbers: [30, 69, 50]
Generated Node #2: [30, 69, 50] from Operation: 73-23=50
Current State: 89:[30, 69, 50], Operations: ['73-23=50']
Exploring Operation: 69-30=39, Resulting Numbers: [50, 39]
Generated Node #3: [50, 39] from Operation: 69-30=39
Current State: 89:[50, 39], Operations: ['73-23=50', '69-30=39']
Exploring Operation: 50+39=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
2,
42,
58,
15
] | 14 | [
"2*15=30",
"58-42=16",
"30-16=14"
] | Current State: 14:[2, 42, 58, 15], Operations: []
Exploring Operation: 2*15=30, Resulting Numbers: [42, 58, 30]
Generated Node #2: [42, 58, 30] from Operation: 2*15=30
Current State: 14:[42, 58, 30], Operations: ['2*15=30']
Exploring Operation: 58-42=16, Resulting Numbers: [30, 16]
Generated Node #3: [30, 16] from Operation: 58-42=16
Current State: 14:[30, 16], Operations: ['2*15=30', '58-42=16']
Exploring Operation: 30-16=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
60,
62,
84,
75
] | 66 | [
"62-60=2",
"75*2=150",
"150-84=66"
] | Current State: 66:[60, 62, 84, 75], Operations: []
Exploring Operation: 62-60=2, Resulting Numbers: [84, 75, 2]
Generated Node #2: [84, 75, 2] from Operation: 62-60=2
Current State: 66:[84, 75, 2], Operations: ['62-60=2']
Exploring Operation: 75*2=150, Resulting Numbers: [84, 150]
Generated Node #3: [84, 150] from Operation: 75*2=150
Current State: 66:[84, 150], Operations: ['62-60=2', '75*2=150']
Exploring Operation: 150-84=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
6,
37,
57,
58
] | 32 | [
"37-6=31",
"58-57=1",
"31+1=32"
] | Current State: 32:[6, 37, 57, 58], Operations: []
Exploring Operation: 37-6=31, Resulting Numbers: [57, 58, 31]
Generated Node #2: [57, 58, 31] from Operation: 37-6=31
Current State: 32:[57, 58, 31], Operations: ['37-6=31']
Exploring Operation: 58-57=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 58-57=1
Current State: 32:[31, 1], Operations: ['37-6=31', '58-57=1']
Exploring Operation: 31+1=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
86,
63,
24,
96
] | 27 | [
"86-63=23",
"96/24=4",
"23+4=27"
] | Current State: 27:[86, 63, 24, 96], Operations: []
Exploring Operation: 86-63=23, Resulting Numbers: [24, 96, 23]
Generated Node #2: [24, 96, 23] from Operation: 86-63=23
Current State: 27:[24, 96, 23], Operations: ['86-63=23']
Exploring Operation: 96/24=4, Resulting Numbers: [23, 4]
Generated Node #3: [23, 4] from Operation: 96/24=4
Current State: 27:[23, 4], Operations: ['86-63=23', '96/24=4']
Exploring Operation: 23+4=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
50,
20,
38,
61
] | 69 | [
"50-20=30",
"38+61=99",
"99-30=69"
] | Current State: 69:[50, 20, 38, 61], Operations: []
Exploring Operation: 50-20=30, Resulting Numbers: [38, 61, 30]
Generated Node #2: [38, 61, 30] from Operation: 50-20=30
Current State: 69:[38, 61, 30], Operations: ['50-20=30']
Exploring Operation: 38+61=99, Resulting Numbers: [30, 99]
Generated Node #3: [30, 99] from Operation: 38+61=99
Current State: 69:[30, 99], Operations: ['50-20=30', '38+61=99']
Exploring Operation: 99-30=69, Resulting Numbers: [69]
69,69 equal: Goal Reached
| 4 |
[
34,
30,
7,
44
] | 17 | [
"34*7=238",
"44-30=14",
"238/14=17"
] | Current State: 17:[34, 30, 7, 44], Operations: []
Exploring Operation: 34*7=238, Resulting Numbers: [30, 44, 238]
Generated Node #2: [30, 44, 238] from Operation: 34*7=238
Current State: 17:[30, 44, 238], Operations: ['34*7=238']
Exploring Operation: 44-30=14, Resulting Numbers: [238, 14]
Generated Node #3: [238, 14] from Operation: 44-30=14
Current State: 17:[238, 14], Operations: ['34*7=238', '44-30=14']
Exploring Operation: 238/14=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
23,
1,
71,
7
] | 86 | [
"23-1=22",
"71-7=64",
"22+64=86"
] | Current State: 86:[23, 1, 71, 7], Operations: []
Exploring Operation: 23-1=22, Resulting Numbers: [71, 7, 22]
Generated Node #2: [71, 7, 22] from Operation: 23-1=22
Current State: 86:[71, 7, 22], Operations: ['23-1=22']
Exploring Operation: 71-7=64, Resulting Numbers: [22, 64]
Generated Node #3: [22, 64] from Operation: 71-7=64
Current State: 86:[22, 64], Operations: ['23-1=22', '71-7=64']
Exploring Operation: 22+64=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
76,
37,
9,
12
] | 18 | [
"76-37=39",
"9+12=21",
"39-21=18"
] | Current State: 18:[76, 37, 9, 12], Operations: []
Exploring Operation: 76-37=39, Resulting Numbers: [9, 12, 39]
Generated Node #2: [9, 12, 39] from Operation: 76-37=39
Current State: 18:[9, 12, 39], Operations: ['76-37=39']
Exploring Operation: 9+12=21, Resulting Numbers: [39, 21]
Generated Node #3: [39, 21] from Operation: 9+12=21
Current State: 18:[39, 21], Operations: ['76-37=39', '9+12=21']
Exploring Operation: 39-21=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
34,
46,
17,
87
] | 39 | [
"34/17=2",
"87-46=41",
"41-2=39"
] | Current State: 39:[34, 46, 17, 87], Operations: []
Exploring Operation: 34/17=2, Resulting Numbers: [46, 87, 2]
Generated Node #2: [46, 87, 2] from Operation: 34/17=2
Current State: 39:[46, 87, 2], Operations: ['34/17=2']
Exploring Operation: 87-46=41, Resulting Numbers: [2, 41]
Generated Node #3: [2, 41] from Operation: 87-46=41
Current State: 39:[2, 41], Operations: ['34/17=2', '87-46=41']
Exploring Operation: 41-2=39, Resulting Numbers: [39]
39,39 equal: Goal Reached
| 4 |
[
17,
41,
47,
12
] | 89 | [
"47-41=6",
"12*6=72",
"17+72=89"
] | Current State: 89:[17, 41, 47, 12], Operations: []
Exploring Operation: 47-41=6, Resulting Numbers: [17, 12, 6]
Generated Node #2: [17, 12, 6] from Operation: 47-41=6
Current State: 89:[17, 12, 6], Operations: ['47-41=6']
Exploring Operation: 12*6=72, Resulting Numbers: [17, 72]
Generated Node #3: [17, 72] from Operation: 12*6=72
Current State: 89:[17, 72], Operations: ['47-41=6', '12*6=72']
Exploring Operation: 17+72=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
57,
8,
38,
66
] | 70 | [
"38+66=104",
"104/8=13",
"57+13=70"
] | Current State: 70:[57, 8, 38, 66], Operations: []
Exploring Operation: 38+66=104, Resulting Numbers: [57, 8, 104]
Generated Node #2: [57, 8, 104] from Operation: 38+66=104
Current State: 70:[57, 8, 104], Operations: ['38+66=104']
Exploring Operation: 104/8=13, Resulting Numbers: [57, 13]
Generated Node #3: [57, 13] from Operation: 104/8=13
Current State: 70:[57, 13], Operations: ['38+66=104', '104/8=13']
Exploring Operation: 57+13=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
23,
14,
64,
4
] | 46 | [
"64/4=16",
"16-14=2",
"23*2=46"
] | Current State: 46:[23, 14, 64, 4], Operations: []
Exploring Operation: 64/4=16, Resulting Numbers: [23, 14, 16]
Generated Node #2: [23, 14, 16] from Operation: 64/4=16
Current State: 46:[23, 14, 16], Operations: ['64/4=16']
Exploring Operation: 16-14=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 16-14=2
Current State: 46:[23, 2], Operations: ['64/4=16', '16-14=2']
Exploring Operation: 23*2=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
83,
6,
6,
71
] | 71 | [
"6-6=0",
"83*0=0",
"71+0=71"
] | Current State: 71:[83, 6, 6, 71], Operations: []
Exploring Operation: 6-6=0, Resulting Numbers: [83, 71, 0]
Generated Node #2: [83, 71, 0] from Operation: 6-6=0
Current State: 71:[83, 71, 0], Operations: ['6-6=0']
Exploring Operation: 83*0=0, Resulting Numbers: [71, 0]
Generated Node #3: [71, 0] from Operation: 83*0=0
Current State: 71:[71, 0], Operations: ['6-6=0', '83*0=0']
Exploring Operation: 71+0=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
2,
35,
79,
69
] | 90 | [
"35+79=114",
"114-69=45",
"2*45=90"
] | Current State: 90:[2, 35, 79, 69], Operations: []
Exploring Operation: 35+79=114, Resulting Numbers: [2, 69, 114]
Generated Node #2: [2, 69, 114] from Operation: 35+79=114
Current State: 90:[2, 69, 114], Operations: ['35+79=114']
Exploring Operation: 114-69=45, Resulting Numbers: [2, 45]
Generated Node #3: [2, 45] from Operation: 114-69=45
Current State: 90:[2, 45], Operations: ['35+79=114', '114-69=45']
Exploring Operation: 2*45=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
10,
33,
55,
95
] | 29 | [
"95-55=40",
"40/10=4",
"33-4=29"
] | Current State: 29:[10, 33, 55, 95], Operations: []
Exploring Operation: 95-55=40, Resulting Numbers: [10, 33, 40]
Generated Node #2: [10, 33, 40] from Operation: 95-55=40
Current State: 29:[10, 33, 40], Operations: ['95-55=40']
Exploring Operation: 40/10=4, Resulting Numbers: [33, 4]
Generated Node #3: [33, 4] from Operation: 40/10=4
Current State: 29:[33, 4], Operations: ['95-55=40', '40/10=4']
Exploring Operation: 33-4=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
82,
51,
35,
43
] | 84 | [
"51+35=86",
"86/43=2",
"82+2=84"
] | Current State: 84:[82, 51, 35, 43], Operations: []
Exploring Operation: 51+35=86, Resulting Numbers: [82, 43, 86]
Generated Node #2: [82, 43, 86] from Operation: 51+35=86
Current State: 84:[82, 43, 86], Operations: ['51+35=86']
Exploring Operation: 86/43=2, Resulting Numbers: [82, 2]
Generated Node #3: [82, 2] from Operation: 86/43=2
Current State: 84:[82, 2], Operations: ['51+35=86', '86/43=2']
Exploring Operation: 82+2=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
41,
79,
74,
74
] | 41 | [
"74-74=0",
"79*0=0",
"41+0=41"
] | Current State: 41:[41, 79, 74, 74], Operations: []
Exploring Operation: 74-74=0, Resulting Numbers: [41, 79, 0]
Generated Node #2: [41, 79, 0] from Operation: 74-74=0
Current State: 41:[41, 79, 0], Operations: ['74-74=0']
Exploring Operation: 79*0=0, Resulting Numbers: [41, 0]
Generated Node #3: [41, 0] from Operation: 79*0=0
Current State: 41:[41, 0], Operations: ['74-74=0', '79*0=0']
Exploring Operation: 41+0=41, Resulting Numbers: [41]
41,41 equal: Goal Reached
| 4 |
[
32,
16,
21,
97
] | 92 | [
"32-16=16",
"97-21=76",
"16+76=92"
] | Current State: 92:[32, 16, 21, 97], Operations: []
Exploring Operation: 32-16=16, Resulting Numbers: [21, 97, 16]
Generated Node #2: [21, 97, 16] from Operation: 32-16=16
Current State: 92:[21, 97, 16], Operations: ['32-16=16']
Exploring Operation: 97-21=76, Resulting Numbers: [16, 76]
Generated Node #3: [16, 76] from Operation: 97-21=76
Current State: 92:[16, 76], Operations: ['32-16=16', '97-21=76']
Exploring Operation: 16+76=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
35,
10,
4,
5
] | 60 | [
"10*5=50",
"50-35=15",
"4*15=60"
] | Current State: 60:[35, 10, 4, 5], Operations: []
Exploring Operation: 10*5=50, Resulting Numbers: [35, 4, 50]
Generated Node #2: [35, 4, 50] from Operation: 10*5=50
Current State: 60:[35, 4, 50], Operations: ['10*5=50']
Exploring Operation: 50-35=15, Resulting Numbers: [4, 15]
Generated Node #3: [4, 15] from Operation: 50-35=15
Current State: 60:[4, 15], Operations: ['10*5=50', '50-35=15']
Exploring Operation: 4*15=60, Resulting Numbers: [60]
60,60 equal: Goal Reached
| 4 |
[
16,
61,
28,
19
] | 33 | [
"61+19=80",
"80/16=5",
"28+5=33"
] | Current State: 33:[16, 61, 28, 19], Operations: []
Exploring Operation: 61+19=80, Resulting Numbers: [16, 28, 80]
Generated Node #2: [16, 28, 80] from Operation: 61+19=80
Current State: 33:[16, 28, 80], Operations: ['61+19=80']
Exploring Operation: 80/16=5, Resulting Numbers: [28, 5]
Generated Node #3: [28, 5] from Operation: 80/16=5
Current State: 33:[28, 5], Operations: ['61+19=80', '80/16=5']
Exploring Operation: 28+5=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
49,
25,
79,
63
] | 90 | [
"49+25=74",
"79-63=16",
"74+16=90"
] | Current State: 90:[49, 25, 79, 63], Operations: []
Exploring Operation: 49+25=74, Resulting Numbers: [79, 63, 74]
Generated Node #2: [79, 63, 74] from Operation: 49+25=74
Current State: 90:[79, 63, 74], Operations: ['49+25=74']
Exploring Operation: 79-63=16, Resulting Numbers: [74, 16]
Generated Node #3: [74, 16] from Operation: 79-63=16
Current State: 90:[74, 16], Operations: ['49+25=74', '79-63=16']
Exploring Operation: 74+16=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
71,
26,
23,
66
] | 54 | [
"71+26=97",
"66-23=43",
"97-43=54"
] | Current State: 54:[71, 26, 23, 66], Operations: []
Exploring Operation: 71+26=97, Resulting Numbers: [23, 66, 97]
Generated Node #2: [23, 66, 97] from Operation: 71+26=97
Current State: 54:[23, 66, 97], Operations: ['71+26=97']
Exploring Operation: 66-23=43, Resulting Numbers: [97, 43]
Generated Node #3: [97, 43] from Operation: 66-23=43
Current State: 54:[97, 43], Operations: ['71+26=97', '66-23=43']
Exploring Operation: 97-43=54, Resulting Numbers: [54]
54,54 equal: Goal Reached
| 4 |
[
54,
74,
60,
5
] | 15 | [
"74-54=20",
"60*5=300",
"300/20=15"
] | Current State: 15:[54, 74, 60, 5], Operations: []
Exploring Operation: 74-54=20, Resulting Numbers: [60, 5, 20]
Generated Node #2: [60, 5, 20] from Operation: 74-54=20
Current State: 15:[60, 5, 20], Operations: ['74-54=20']
Exploring Operation: 60*5=300, Resulting Numbers: [20, 300]
Generated Node #3: [20, 300] from Operation: 60*5=300
Current State: 15:[20, 300], Operations: ['74-54=20', '60*5=300']
Exploring Operation: 300/20=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
1,
97,
24,
97
] | 25 | [
"1+97=98",
"97-24=73",
"98-73=25"
] | Current State: 25:[1, 97, 24, 97], Operations: []
Exploring Operation: 1+97=98, Resulting Numbers: [24, 98]
Generated Node #2: [24, 98] from Operation: 1+97=98
Current State: 25:[24, 98], Operations: ['1+97=98']
Exploring Operation: 97-24=73, Resulting Numbers: [98, 73]
Generated Node #3: [98, 73] from Operation: 97-24=73
Current State: 25:[98, 73], Operations: ['1+97=98', '97-24=73']
Exploring Operation: 98-73=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
87,
21,
77,
19
] | 20 | [
"87-77=10",
"21-19=2",
"10*2=20"
] | Current State: 20:[87, 21, 77, 19], Operations: []
Exploring Operation: 87-77=10, Resulting Numbers: [21, 19, 10]
Generated Node #2: [21, 19, 10] from Operation: 87-77=10
Current State: 20:[21, 19, 10], Operations: ['87-77=10']
Exploring Operation: 21-19=2, Resulting Numbers: [10, 2]
Generated Node #3: [10, 2] from Operation: 21-19=2
Current State: 20:[10, 2], Operations: ['87-77=10', '21-19=2']
Exploring Operation: 10*2=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
95,
71,
52,
9
] | 45 | [
"95*9=855",
"71-52=19",
"855/19=45"
] | Current State: 45:[95, 71, 52, 9], Operations: []
Exploring Operation: 95*9=855, Resulting Numbers: [71, 52, 855]
Generated Node #2: [71, 52, 855] from Operation: 95*9=855
Current State: 45:[71, 52, 855], Operations: ['95*9=855']
Exploring Operation: 71-52=19, Resulting Numbers: [855, 19]
Generated Node #3: [855, 19] from Operation: 71-52=19
Current State: 45:[855, 19], Operations: ['95*9=855', '71-52=19']
Exploring Operation: 855/19=45, Resulting Numbers: [45]
45,45 equal: Goal Reached
| 4 |
[
13,
69,
67,
55
] | 21 | [
"55-13=42",
"69-67=2",
"42/2=21"
] | Current State: 21:[13, 69, 67, 55], Operations: []
Exploring Operation: 55-13=42, Resulting Numbers: [69, 67, 42]
Generated Node #2: [69, 67, 42] from Operation: 55-13=42
Current State: 21:[69, 67, 42], Operations: ['55-13=42']
Exploring Operation: 69-67=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 69-67=2
Current State: 21:[42, 2], Operations: ['55-13=42', '69-67=2']
Exploring Operation: 42/2=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
89,
37,
62,
56
] | 58 | [
"89-37=52",
"62-56=6",
"52+6=58"
] | Current State: 58:[89, 37, 62, 56], Operations: []
Exploring Operation: 89-37=52, Resulting Numbers: [62, 56, 52]
Generated Node #2: [62, 56, 52] from Operation: 89-37=52
Current State: 58:[62, 56, 52], Operations: ['89-37=52']
Exploring Operation: 62-56=6, Resulting Numbers: [52, 6]
Generated Node #3: [52, 6] from Operation: 62-56=6
Current State: 58:[52, 6], Operations: ['89-37=52', '62-56=6']
Exploring Operation: 52+6=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
56,
60,
35,
91
] | 10 | [
"56+60=116",
"35+91=126",
"126-116=10"
] | Current State: 10:[56, 60, 35, 91], Operations: []
Exploring Operation: 56+60=116, Resulting Numbers: [35, 91, 116]
Generated Node #2: [35, 91, 116] from Operation: 56+60=116
Current State: 10:[35, 91, 116], Operations: ['56+60=116']
Exploring Operation: 35+91=126, Resulting Numbers: [116, 126]
Generated Node #3: [116, 126] from Operation: 35+91=126
Current State: 10:[116, 126], Operations: ['56+60=116', '35+91=126']
Exploring Operation: 126-116=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
48,
99,
56,
13
] | 91 | [
"48+56=104",
"104/13=8",
"99-8=91"
] | Current State: 91:[48, 99, 56, 13], Operations: []
Exploring Operation: 48+56=104, Resulting Numbers: [99, 13, 104]
Generated Node #2: [99, 13, 104] from Operation: 48+56=104
Current State: 91:[99, 13, 104], Operations: ['48+56=104']
Exploring Operation: 104/13=8, Resulting Numbers: [99, 8]
Generated Node #3: [99, 8] from Operation: 104/13=8
Current State: 91:[99, 8], Operations: ['48+56=104', '104/13=8']
Exploring Operation: 99-8=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
28,
33,
18,
31
] | 64 | [
"33-31=2",
"18*2=36",
"28+36=64"
] | Current State: 64:[28, 33, 18, 31], Operations: []
Exploring Operation: 33-31=2, Resulting Numbers: [28, 18, 2]
Generated Node #2: [28, 18, 2] from Operation: 33-31=2
Current State: 64:[28, 18, 2], Operations: ['33-31=2']
Exploring Operation: 18*2=36, Resulting Numbers: [28, 36]
Generated Node #3: [28, 36] from Operation: 18*2=36
Current State: 64:[28, 36], Operations: ['33-31=2', '18*2=36']
Exploring Operation: 28+36=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
32,
22,
71,
89
] | 72 | [
"32+22=54",
"89-71=18",
"54+18=72"
] | Current State: 72:[32, 22, 71, 89], Operations: []
Exploring Operation: 32+22=54, Resulting Numbers: [71, 89, 54]
Generated Node #2: [71, 89, 54] from Operation: 32+22=54
Current State: 72:[71, 89, 54], Operations: ['32+22=54']
Exploring Operation: 89-71=18, Resulting Numbers: [54, 18]
Generated Node #3: [54, 18] from Operation: 89-71=18
Current State: 72:[54, 18], Operations: ['32+22=54', '89-71=18']
Exploring Operation: 54+18=72, Resulting Numbers: [72]
72,72 equal: Goal Reached
| 4 |
[
79,
90,
68,
87
] | 33 | [
"79-68=11",
"90-87=3",
"11*3=33"
] | Current State: 33:[79, 90, 68, 87], Operations: []
Exploring Operation: 79-68=11, Resulting Numbers: [90, 87, 11]
Generated Node #2: [90, 87, 11] from Operation: 79-68=11
Current State: 33:[90, 87, 11], Operations: ['79-68=11']
Exploring Operation: 90-87=3, Resulting Numbers: [11, 3]
Generated Node #3: [11, 3] from Operation: 90-87=3
Current State: 33:[11, 3], Operations: ['79-68=11', '90-87=3']
Exploring Operation: 11*3=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
5,
88,
2,
78
] | 63 | [
"5+88=93",
"2*78=156",
"156-93=63"
] | Current State: 63:[5, 88, 2, 78], Operations: []
Exploring Operation: 5+88=93, Resulting Numbers: [2, 78, 93]
Generated Node #2: [2, 78, 93] from Operation: 5+88=93
Current State: 63:[2, 78, 93], Operations: ['5+88=93']
Exploring Operation: 2*78=156, Resulting Numbers: [93, 156]
Generated Node #3: [93, 156] from Operation: 2*78=156
Current State: 63:[93, 156], Operations: ['5+88=93', '2*78=156']
Exploring Operation: 156-93=63, Resulting Numbers: [63]
63,63 equal: Goal Reached
| 4 |
[
41,
93,
39,
70
] | 25 | [
"41+93=134",
"39+70=109",
"134-109=25"
] | Current State: 25:[41, 93, 39, 70], Operations: []
Exploring Operation: 41+93=134, Resulting Numbers: [39, 70, 134]
Generated Node #2: [39, 70, 134] from Operation: 41+93=134
Current State: 25:[39, 70, 134], Operations: ['41+93=134']
Exploring Operation: 39+70=109, Resulting Numbers: [134, 109]
Generated Node #3: [134, 109] from Operation: 39+70=109
Current State: 25:[134, 109], Operations: ['41+93=134', '39+70=109']
Exploring Operation: 134-109=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
61,
76,
94,
31
] | 78 | [
"76-61=15",
"94-31=63",
"15+63=78"
] | Current State: 78:[61, 76, 94, 31], Operations: []
Exploring Operation: 76-61=15, Resulting Numbers: [94, 31, 15]
Generated Node #2: [94, 31, 15] from Operation: 76-61=15
Current State: 78:[94, 31, 15], Operations: ['76-61=15']
Exploring Operation: 94-31=63, Resulting Numbers: [15, 63]
Generated Node #3: [15, 63] from Operation: 94-31=63
Current State: 78:[15, 63], Operations: ['76-61=15', '94-31=63']
Exploring Operation: 15+63=78, Resulting Numbers: [78]
78,78 equal: Goal Reached
| 4 |
[
26,
90,
29,
7
] | 43 | [
"90+29=119",
"119/7=17",
"26+17=43"
] | Current State: 43:[26, 90, 29, 7], Operations: []
Exploring Operation: 90+29=119, Resulting Numbers: [26, 7, 119]
Generated Node #2: [26, 7, 119] from Operation: 90+29=119
Current State: 43:[26, 7, 119], Operations: ['90+29=119']
Exploring Operation: 119/7=17, Resulting Numbers: [26, 17]
Generated Node #3: [26, 17] from Operation: 119/7=17
Current State: 43:[26, 17], Operations: ['90+29=119', '119/7=17']
Exploring Operation: 26+17=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
8,
73,
16,
61
] | 67 | [
"16/8=2",
"73+61=134",
"134/2=67"
] | Current State: 67:[8, 73, 16, 61], Operations: []
Exploring Operation: 16/8=2, Resulting Numbers: [73, 61, 2]
Generated Node #2: [73, 61, 2] from Operation: 16/8=2
Current State: 67:[73, 61, 2], Operations: ['16/8=2']
Exploring Operation: 73+61=134, Resulting Numbers: [2, 134]
Generated Node #3: [2, 134] from Operation: 73+61=134
Current State: 67:[2, 134], Operations: ['16/8=2', '73+61=134']
Exploring Operation: 134/2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
5,
40,
45,
69
] | 16 | [
"40/5=8",
"69-45=24",
"24-8=16"
] | Current State: 16:[5, 40, 45, 69], Operations: []
Exploring Operation: 40/5=8, Resulting Numbers: [45, 69, 8]
Generated Node #2: [45, 69, 8] from Operation: 40/5=8
Current State: 16:[45, 69, 8], Operations: ['40/5=8']
Exploring Operation: 69-45=24, Resulting Numbers: [8, 24]
Generated Node #3: [8, 24] from Operation: 69-45=24
Current State: 16:[8, 24], Operations: ['40/5=8', '69-45=24']
Exploring Operation: 24-8=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
96,
53,
58,
9
] | 51 | [
"58-53=5",
"9*5=45",
"96-45=51"
] | Current State: 51:[96, 53, 58, 9], Operations: []
Exploring Operation: 58-53=5, Resulting Numbers: [96, 9, 5]
Generated Node #2: [96, 9, 5] from Operation: 58-53=5
Current State: 51:[96, 9, 5], Operations: ['58-53=5']
Exploring Operation: 9*5=45, Resulting Numbers: [96, 45]
Generated Node #3: [96, 45] from Operation: 9*5=45
Current State: 51:[96, 45], Operations: ['58-53=5', '9*5=45']
Exploring Operation: 96-45=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
87,
26,
35,
17
] | 15 | [
"87-35=52",
"52/26=2",
"17-2=15"
] | Current State: 15:[87, 26, 35, 17], Operations: []
Exploring Operation: 87-35=52, Resulting Numbers: [26, 17, 52]
Generated Node #2: [26, 17, 52] from Operation: 87-35=52
Current State: 15:[26, 17, 52], Operations: ['87-35=52']
Exploring Operation: 52/26=2, Resulting Numbers: [17, 2]
Generated Node #3: [17, 2] from Operation: 52/26=2
Current State: 15:[17, 2], Operations: ['87-35=52', '52/26=2']
Exploring Operation: 17-2=15, Resulting Numbers: [15]
15,15 equal: Goal Reached
| 4 |
[
78,
75,
70,
1
] | 35 | [
"78-75=3",
"3-1=2",
"70/2=35"
] | Current State: 35:[78, 75, 70, 1], Operations: []
Exploring Operation: 78-75=3, Resulting Numbers: [70, 1, 3]
Generated Node #2: [70, 1, 3] from Operation: 78-75=3
Current State: 35:[70, 1, 3], Operations: ['78-75=3']
Exploring Operation: 3-1=2, Resulting Numbers: [70, 2]
Generated Node #3: [70, 2] from Operation: 3-1=2
Current State: 35:[70, 2], Operations: ['78-75=3', '3-1=2']
Exploring Operation: 70/2=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
94,
14,
23,
73
] | 58 | [
"94+14=108",
"73-23=50",
"108-50=58"
] | Current State: 58:[94, 14, 23, 73], Operations: []
Exploring Operation: 94+14=108, Resulting Numbers: [23, 73, 108]
Generated Node #2: [23, 73, 108] from Operation: 94+14=108
Current State: 58:[23, 73, 108], Operations: ['94+14=108']
Exploring Operation: 73-23=50, Resulting Numbers: [108, 50]
Generated Node #3: [108, 50] from Operation: 73-23=50
Current State: 58:[108, 50], Operations: ['94+14=108', '73-23=50']
Exploring Operation: 108-50=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
64,
54,
9,
72
] | 12 | [
"64*9=576",
"72+576=648",
"648/54=12"
] | Current State: 12:[64, 54, 9, 72], Operations: []
Exploring Operation: 64*9=576, Resulting Numbers: [54, 72, 576]
Generated Node #2: [54, 72, 576] from Operation: 64*9=576
Current State: 12:[54, 72, 576], Operations: ['64*9=576']
Exploring Operation: 72+576=648, Resulting Numbers: [54, 648]
Generated Node #3: [54, 648] from Operation: 72+576=648
Current State: 12:[54, 648], Operations: ['64*9=576', '72+576=648']
Exploring Operation: 648/54=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
4,
16,
50,
32
] | 58 | [
"16/4=4",
"32/4=8",
"50+8=58"
] | Current State: 58:[4, 16, 50, 32], Operations: []
Exploring Operation: 16/4=4, Resulting Numbers: [50, 32, 4]
Generated Node #2: [50, 32, 4] from Operation: 16/4=4
Current State: 58:[50, 32, 4], Operations: ['16/4=4']
Exploring Operation: 32/4=8, Resulting Numbers: [50, 8]
Generated Node #3: [50, 8] from Operation: 32/4=8
Current State: 58:[50, 8], Operations: ['16/4=4', '32/4=8']
Exploring Operation: 50+8=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
45,
45,
83,
16
] | 100 | [
"45/45=1",
"83+16=99",
"1+99=100"
] | Current State: 100:[45, 45, 83, 16], Operations: []
Exploring Operation: 45/45=1, Resulting Numbers: [83, 16, 1]
Generated Node #2: [83, 16, 1] from Operation: 45/45=1
Current State: 100:[83, 16, 1], Operations: ['45/45=1']
Exploring Operation: 83+16=99, Resulting Numbers: [1, 99]
Generated Node #3: [1, 99] from Operation: 83+16=99
Current State: 100:[1, 99], Operations: ['45/45=1', '83+16=99']
Exploring Operation: 1+99=100, Resulting Numbers: [100]
100,100 equal: Goal Reached
| 4 |
[
84,
36,
71,
53
] | 30 | [
"84-36=48",
"71-53=18",
"48-18=30"
] | Current State: 30:[84, 36, 71, 53], Operations: []
Exploring Operation: 84-36=48, Resulting Numbers: [71, 53, 48]
Generated Node #2: [71, 53, 48] from Operation: 84-36=48
Current State: 30:[71, 53, 48], Operations: ['84-36=48']
Exploring Operation: 71-53=18, Resulting Numbers: [48, 18]
Generated Node #3: [48, 18] from Operation: 71-53=18
Current State: 30:[48, 18], Operations: ['84-36=48', '71-53=18']
Exploring Operation: 48-18=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
66,
4,
50,
26
] | 94 | [
"66+4=70",
"50-26=24",
"70+24=94"
] | Current State: 94:[66, 4, 50, 26], Operations: []
Exploring Operation: 66+4=70, Resulting Numbers: [50, 26, 70]
Generated Node #2: [50, 26, 70] from Operation: 66+4=70
Current State: 94:[50, 26, 70], Operations: ['66+4=70']
Exploring Operation: 50-26=24, Resulting Numbers: [70, 24]
Generated Node #3: [70, 24] from Operation: 50-26=24
Current State: 94:[70, 24], Operations: ['66+4=70', '50-26=24']
Exploring Operation: 70+24=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
55,
79,
98,
51
] | 71 | [
"79-55=24",
"98-51=47",
"24+47=71"
] | Current State: 71:[55, 79, 98, 51], Operations: []
Exploring Operation: 79-55=24, Resulting Numbers: [98, 51, 24]
Generated Node #2: [98, 51, 24] from Operation: 79-55=24
Current State: 71:[98, 51, 24], Operations: ['79-55=24']
Exploring Operation: 98-51=47, Resulting Numbers: [24, 47]
Generated Node #3: [24, 47] from Operation: 98-51=47
Current State: 71:[24, 47], Operations: ['79-55=24', '98-51=47']
Exploring Operation: 24+47=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
80,
41,
48,
52
] | 84 | [
"52-48=4",
"41*4=164",
"164-80=84"
] | Current State: 84:[80, 41, 48, 52], Operations: []
Exploring Operation: 52-48=4, Resulting Numbers: [80, 41, 4]
Generated Node #2: [80, 41, 4] from Operation: 52-48=4
Current State: 84:[80, 41, 4], Operations: ['52-48=4']
Exploring Operation: 41*4=164, Resulting Numbers: [80, 164]
Generated Node #3: [80, 164] from Operation: 41*4=164
Current State: 84:[80, 164], Operations: ['52-48=4', '41*4=164']
Exploring Operation: 164-80=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
42,
21,
7,
6
] | 24 | [
"21/7=3",
"6*3=18",
"42-18=24"
] | Current State: 24:[42, 21, 7, 6], Operations: []
Exploring Operation: 21/7=3, Resulting Numbers: [42, 6, 3]
Generated Node #2: [42, 6, 3] from Operation: 21/7=3
Current State: 24:[42, 6, 3], Operations: ['21/7=3']
Exploring Operation: 6*3=18, Resulting Numbers: [42, 18]
Generated Node #3: [42, 18] from Operation: 6*3=18
Current State: 24:[42, 18], Operations: ['21/7=3', '6*3=18']
Exploring Operation: 42-18=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
42,
17,
4,
19
] | 48 | [
"42-17=25",
"4+19=23",
"25+23=48"
] | Current State: 48:[42, 17, 4, 19], Operations: []
Exploring Operation: 42-17=25, Resulting Numbers: [4, 19, 25]
Generated Node #2: [4, 19, 25] from Operation: 42-17=25
Current State: 48:[4, 19, 25], Operations: ['42-17=25']
Exploring Operation: 4+19=23, Resulting Numbers: [25, 23]
Generated Node #3: [25, 23] from Operation: 4+19=23
Current State: 48:[25, 23], Operations: ['42-17=25', '4+19=23']
Exploring Operation: 25+23=48, Resulting Numbers: [48]
48,48 equal: Goal Reached
| 4 |
[
59,
82,
81,
10
] | 94 | [
"82-59=23",
"81-10=71",
"23+71=94"
] | Current State: 94:[59, 82, 81, 10], Operations: []
Exploring Operation: 82-59=23, Resulting Numbers: [81, 10, 23]
Generated Node #2: [81, 10, 23] from Operation: 82-59=23
Current State: 94:[81, 10, 23], Operations: ['82-59=23']
Exploring Operation: 81-10=71, Resulting Numbers: [23, 71]
Generated Node #3: [23, 71] from Operation: 81-10=71
Current State: 94:[23, 71], Operations: ['82-59=23', '81-10=71']
Exploring Operation: 23+71=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
25,
28,
5,
82
] | 27 | [
"25+28=53",
"82+53=135",
"135/5=27"
] | Current State: 27:[25, 28, 5, 82], Operations: []
Exploring Operation: 25+28=53, Resulting Numbers: [5, 82, 53]
Generated Node #2: [5, 82, 53] from Operation: 25+28=53
Current State: 27:[5, 82, 53], Operations: ['25+28=53']
Exploring Operation: 82+53=135, Resulting Numbers: [5, 135]
Generated Node #3: [5, 135] from Operation: 82+53=135
Current State: 27:[5, 135], Operations: ['25+28=53', '82+53=135']
Exploring Operation: 135/5=27, Resulting Numbers: [27]
27,27 equal: Goal Reached
| 4 |
[
61,
25,
49,
44
] | 56 | [
"49-44=5",
"25/5=5",
"61-5=56"
] | Current State: 56:[61, 25, 49, 44], Operations: []
Exploring Operation: 49-44=5, Resulting Numbers: [61, 25, 5]
Generated Node #2: [61, 25, 5] from Operation: 49-44=5
Current State: 56:[61, 25, 5], Operations: ['49-44=5']
Exploring Operation: 25/5=5, Resulting Numbers: [61, 5]
Generated Node #3: [61, 5] from Operation: 25/5=5
Current State: 56:[61, 5], Operations: ['49-44=5', '25/5=5']
Exploring Operation: 61-5=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
14,
59,
78,
64
] | 87 | [
"14+59=73",
"78-64=14",
"73+14=87"
] | Current State: 87:[14, 59, 78, 64], Operations: []
Exploring Operation: 14+59=73, Resulting Numbers: [78, 64, 73]
Generated Node #2: [78, 64, 73] from Operation: 14+59=73
Current State: 87:[78, 64, 73], Operations: ['14+59=73']
Exploring Operation: 78-64=14, Resulting Numbers: [73, 14]
Generated Node #3: [73, 14] from Operation: 78-64=14
Current State: 87:[73, 14], Operations: ['14+59=73', '78-64=14']
Exploring Operation: 73+14=87, Resulting Numbers: [87]
87,87 equal: Goal Reached
| 4 |
[
33,
51,
11,
54
] | 22 | [
"54-51=3",
"33/3=11",
"11+11=22"
] | Current State: 22:[33, 51, 11, 54], Operations: []
Exploring Operation: 54-51=3, Resulting Numbers: [33, 11, 3]
Generated Node #2: [33, 11, 3] from Operation: 54-51=3
Current State: 22:[33, 11, 3], Operations: ['54-51=3']
Exploring Operation: 33/3=11, Resulting Numbers: [11, 11]
Generated Node #3: [11, 11] from Operation: 33/3=11
Current State: 22:[11, 11], Operations: ['54-51=3', '33/3=11']
Exploring Operation: 11+11=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
29,
10,
48,
13
] | 51 | [
"29+10=39",
"39/13=3",
"48+3=51"
] | Current State: 51:[29, 10, 48, 13], Operations: []
Exploring Operation: 29+10=39, Resulting Numbers: [48, 13, 39]
Generated Node #2: [48, 13, 39] from Operation: 29+10=39
Current State: 51:[48, 13, 39], Operations: ['29+10=39']
Exploring Operation: 39/13=3, Resulting Numbers: [48, 3]
Generated Node #3: [48, 3] from Operation: 39/13=3
Current State: 51:[48, 3], Operations: ['29+10=39', '39/13=3']
Exploring Operation: 48+3=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
92,
91,
43,
72
] | 28 | [
"92-91=1",
"72-43=29",
"29-1=28"
] | Current State: 28:[92, 91, 43, 72], Operations: []
Exploring Operation: 92-91=1, Resulting Numbers: [43, 72, 1]
Generated Node #2: [43, 72, 1] from Operation: 92-91=1
Current State: 28:[43, 72, 1], Operations: ['92-91=1']
Exploring Operation: 72-43=29, Resulting Numbers: [1, 29]
Generated Node #3: [1, 29] from Operation: 72-43=29
Current State: 28:[1, 29], Operations: ['92-91=1', '72-43=29']
Exploring Operation: 29-1=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
50,
48,
33,
88
] | 23 | [
"50+48=98",
"33+88=121",
"121-98=23"
] | Current State: 23:[50, 48, 33, 88], Operations: []
Exploring Operation: 50+48=98, Resulting Numbers: [33, 88, 98]
Generated Node #2: [33, 88, 98] from Operation: 50+48=98
Current State: 23:[33, 88, 98], Operations: ['50+48=98']
Exploring Operation: 33+88=121, Resulting Numbers: [98, 121]
Generated Node #3: [98, 121] from Operation: 33+88=121
Current State: 23:[98, 121], Operations: ['50+48=98', '33+88=121']
Exploring Operation: 121-98=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
9,
20,
56,
61
] | 91 | [
"61-56=5",
"20*5=100",
"100-9=91"
] | Current State: 91:[9, 20, 56, 61], Operations: []
Exploring Operation: 61-56=5, Resulting Numbers: [9, 20, 5]
Generated Node #2: [9, 20, 5] from Operation: 61-56=5
Current State: 91:[9, 20, 5], Operations: ['61-56=5']
Exploring Operation: 20*5=100, Resulting Numbers: [9, 100]
Generated Node #3: [9, 100] from Operation: 20*5=100
Current State: 91:[9, 100], Operations: ['61-56=5', '20*5=100']
Exploring Operation: 100-9=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
36,
37,
47,
97
] | 33 | [
"47+97=144",
"144/36=4",
"37-4=33"
] | Current State: 33:[36, 37, 47, 97], Operations: []
Exploring Operation: 47+97=144, Resulting Numbers: [36, 37, 144]
Generated Node #2: [36, 37, 144] from Operation: 47+97=144
Current State: 33:[36, 37, 144], Operations: ['47+97=144']
Exploring Operation: 144/36=4, Resulting Numbers: [37, 4]
Generated Node #3: [37, 4] from Operation: 144/36=4
Current State: 33:[37, 4], Operations: ['47+97=144', '144/36=4']
Exploring Operation: 37-4=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
8,
23,
95,
4
] | 93 | [
"8*23=184",
"95-4=91",
"184-91=93"
] | Current State: 93:[8, 23, 95, 4], Operations: []
Exploring Operation: 8*23=184, Resulting Numbers: [95, 4, 184]
Generated Node #2: [95, 4, 184] from Operation: 8*23=184
Current State: 93:[95, 4, 184], Operations: ['8*23=184']
Exploring Operation: 95-4=91, Resulting Numbers: [184, 91]
Generated Node #3: [184, 91] from Operation: 95-4=91
Current State: 93:[184, 91], Operations: ['8*23=184', '95-4=91']
Exploring Operation: 184-91=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
88,
38,
81,
17
] | 95 | [
"38+81=119",
"119/17=7",
"88+7=95"
] | Current State: 95:[88, 38, 81, 17], Operations: []
Exploring Operation: 38+81=119, Resulting Numbers: [88, 17, 119]
Generated Node #2: [88, 17, 119] from Operation: 38+81=119
Current State: 95:[88, 17, 119], Operations: ['38+81=119']
Exploring Operation: 119/17=7, Resulting Numbers: [88, 7]
Generated Node #3: [88, 7] from Operation: 119/17=7
Current State: 95:[88, 7], Operations: ['38+81=119', '119/17=7']
Exploring Operation: 88+7=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
39,
44,
50,
10
] | 55 | [
"44-39=5",
"50+10=60",
"60-5=55"
] | Current State: 55:[39, 44, 50, 10], Operations: []
Exploring Operation: 44-39=5, Resulting Numbers: [50, 10, 5]
Generated Node #2: [50, 10, 5] from Operation: 44-39=5
Current State: 55:[50, 10, 5], Operations: ['44-39=5']
Exploring Operation: 50+10=60, Resulting Numbers: [5, 60]
Generated Node #3: [5, 60] from Operation: 50+10=60
Current State: 55:[5, 60], Operations: ['44-39=5', '50+10=60']
Exploring Operation: 60-5=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
93,
57,
15,
20
] | 30 | [
"93+57=150",
"20-15=5",
"150/5=30"
] | Current State: 30:[93, 57, 15, 20], Operations: []
Exploring Operation: 93+57=150, Resulting Numbers: [15, 20, 150]
Generated Node #2: [15, 20, 150] from Operation: 93+57=150
Current State: 30:[15, 20, 150], Operations: ['93+57=150']
Exploring Operation: 20-15=5, Resulting Numbers: [150, 5]
Generated Node #3: [150, 5] from Operation: 20-15=5
Current State: 30:[150, 5], Operations: ['93+57=150', '20-15=5']
Exploring Operation: 150/5=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
19,
11,
62,
32
] | 81 | [
"32-19=13",
"11*13=143",
"143-62=81"
] | Current State: 81:[19, 11, 62, 32], Operations: []
Exploring Operation: 32-19=13, Resulting Numbers: [11, 62, 13]
Generated Node #2: [11, 62, 13] from Operation: 32-19=13
Current State: 81:[11, 62, 13], Operations: ['32-19=13']
Exploring Operation: 11*13=143, Resulting Numbers: [62, 143]
Generated Node #3: [62, 143] from Operation: 11*13=143
Current State: 81:[62, 143], Operations: ['32-19=13', '11*13=143']
Exploring Operation: 143-62=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
70,
88,
73,
2
] | 21 | [
"70*2=140",
"88+73=161",
"161-140=21"
] | Current State: 21:[70, 88, 73, 2], Operations: []
Exploring Operation: 70*2=140, Resulting Numbers: [88, 73, 140]
Generated Node #2: [88, 73, 140] from Operation: 70*2=140
Current State: 21:[88, 73, 140], Operations: ['70*2=140']
Exploring Operation: 88+73=161, Resulting Numbers: [140, 161]
Generated Node #3: [140, 161] from Operation: 88+73=161
Current State: 21:[140, 161], Operations: ['70*2=140', '88+73=161']
Exploring Operation: 161-140=21, Resulting Numbers: [21]
21,21 equal: Goal Reached
| 4 |
[
34,
63,
51,
3
] | 43 | [
"34+63=97",
"51+3=54",
"97-54=43"
] | Current State: 43:[34, 63, 51, 3], Operations: []
Exploring Operation: 34+63=97, Resulting Numbers: [51, 3, 97]
Generated Node #2: [51, 3, 97] from Operation: 34+63=97
Current State: 43:[51, 3, 97], Operations: ['34+63=97']
Exploring Operation: 51+3=54, Resulting Numbers: [97, 54]
Generated Node #3: [97, 54] from Operation: 51+3=54
Current State: 43:[97, 54], Operations: ['34+63=97', '51+3=54']
Exploring Operation: 97-54=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
60,
70,
14,
48
] | 24 | [
"70-60=10",
"48-14=34",
"34-10=24"
] | Current State: 24:[60, 70, 14, 48], Operations: []
Exploring Operation: 70-60=10, Resulting Numbers: [14, 48, 10]
Generated Node #2: [14, 48, 10] from Operation: 70-60=10
Current State: 24:[14, 48, 10], Operations: ['70-60=10']
Exploring Operation: 48-14=34, Resulting Numbers: [10, 34]
Generated Node #3: [10, 34] from Operation: 48-14=34
Current State: 24:[10, 34], Operations: ['70-60=10', '48-14=34']
Exploring Operation: 34-10=24, Resulting Numbers: [24]
24,24 equal: Goal Reached
| 4 |
[
10,
31,
34,
90
] | 20 | [
"34-31=3",
"90/3=30",
"30-10=20"
] | Current State: 20:[10, 31, 34, 90], Operations: []
Exploring Operation: 34-31=3, Resulting Numbers: [10, 90, 3]
Generated Node #2: [10, 90, 3] from Operation: 34-31=3
Current State: 20:[10, 90, 3], Operations: ['34-31=3']
Exploring Operation: 90/3=30, Resulting Numbers: [10, 30]
Generated Node #3: [10, 30] from Operation: 90/3=30
Current State: 20:[10, 30], Operations: ['34-31=3', '90/3=30']
Exploring Operation: 30-10=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
2,
5,
72,
61
] | 75 | [
"72-2=70",
"70/5=14",
"61+14=75"
] | Current State: 75:[2, 5, 72, 61], Operations: []
Exploring Operation: 72-2=70, Resulting Numbers: [5, 61, 70]
Generated Node #2: [5, 61, 70] from Operation: 72-2=70
Current State: 75:[5, 61, 70], Operations: ['72-2=70']
Exploring Operation: 70/5=14, Resulting Numbers: [61, 14]
Generated Node #3: [61, 14] from Operation: 70/5=14
Current State: 75:[61, 14], Operations: ['72-2=70', '70/5=14']
Exploring Operation: 61+14=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
5,
38,
50,
68
] | 44 | [
"68-38=30",
"30/5=6",
"50-6=44"
] | Current State: 44:[5, 38, 50, 68], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [5, 50, 30]
Generated Node #2: [5, 50, 30] from Operation: 68-38=30
Current State: 44:[5, 50, 30], Operations: ['68-38=30']
Exploring Operation: 30/5=6, Resulting Numbers: [50, 6]
Generated Node #3: [50, 6] from Operation: 30/5=6
Current State: 44:[50, 6], Operations: ['68-38=30', '30/5=6']
Exploring Operation: 50-6=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
29,
99,
74,
7
] | 64 | [
"99-29=70",
"70/7=10",
"74-10=64"
] | Current State: 64:[29, 99, 74, 7], Operations: []
Exploring Operation: 99-29=70, Resulting Numbers: [74, 7, 70]
Generated Node #2: [74, 7, 70] from Operation: 99-29=70
Current State: 64:[74, 7, 70], Operations: ['99-29=70']
Exploring Operation: 70/7=10, Resulting Numbers: [74, 10]
Generated Node #3: [74, 10] from Operation: 70/7=10
Current State: 64:[74, 10], Operations: ['99-29=70', '70/7=10']
Exploring Operation: 74-10=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
60,
86,
41,
36
] | 51 | [
"86-60=26",
"41+36=77",
"77-26=51"
] | Current State: 51:[60, 86, 41, 36], Operations: []
Exploring Operation: 86-60=26, Resulting Numbers: [41, 36, 26]
Generated Node #2: [41, 36, 26] from Operation: 86-60=26
Current State: 51:[41, 36, 26], Operations: ['86-60=26']
Exploring Operation: 41+36=77, Resulting Numbers: [26, 77]
Generated Node #3: [26, 77] from Operation: 41+36=77
Current State: 51:[26, 77], Operations: ['86-60=26', '41+36=77']
Exploring Operation: 77-26=51, Resulting Numbers: [51]
51,51 equal: Goal Reached
| 4 |
[
9,
58,
18,
14
] | 46 | [
"18/9=2",
"58-14=44",
"2+44=46"
] | Current State: 46:[9, 58, 18, 14], Operations: []
Exploring Operation: 18/9=2, Resulting Numbers: [58, 14, 2]
Generated Node #2: [58, 14, 2] from Operation: 18/9=2
Current State: 46:[58, 14, 2], Operations: ['18/9=2']
Exploring Operation: 58-14=44, Resulting Numbers: [2, 44]
Generated Node #3: [2, 44] from Operation: 58-14=44
Current State: 46:[2, 44], Operations: ['18/9=2', '58-14=44']
Exploring Operation: 2+44=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
34,
13,
5,
7
] | 19 | [
"34-13=21",
"7-5=2",
"21-2=19"
] | Current State: 19:[34, 13, 5, 7], Operations: []
Exploring Operation: 34-13=21, Resulting Numbers: [5, 7, 21]
Generated Node #2: [5, 7, 21] from Operation: 34-13=21
Current State: 19:[5, 7, 21], Operations: ['34-13=21']
Exploring Operation: 7-5=2, Resulting Numbers: [21, 2]
Generated Node #3: [21, 2] from Operation: 7-5=2
Current State: 19:[21, 2], Operations: ['34-13=21', '7-5=2']
Exploring Operation: 21-2=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
50,
70,
80,
33
] | 30 | [
"70+80=150",
"150/50=3",
"33-3=30"
] | Current State: 30:[50, 70, 80, 33], Operations: []
Exploring Operation: 70+80=150, Resulting Numbers: [50, 33, 150]
Generated Node #2: [50, 33, 150] from Operation: 70+80=150
Current State: 30:[50, 33, 150], Operations: ['70+80=150']
Exploring Operation: 150/50=3, Resulting Numbers: [33, 3]
Generated Node #3: [33, 3] from Operation: 150/50=3
Current State: 30:[33, 3], Operations: ['70+80=150', '150/50=3']
Exploring Operation: 33-3=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
21,
10,
74,
87
] | 49 | [
"21*10=210",
"74+87=161",
"210-161=49"
] | Current State: 49:[21, 10, 74, 87], Operations: []
Exploring Operation: 21*10=210, Resulting Numbers: [74, 87, 210]
Generated Node #2: [74, 87, 210] from Operation: 21*10=210
Current State: 49:[74, 87, 210], Operations: ['21*10=210']
Exploring Operation: 74+87=161, Resulting Numbers: [210, 161]
Generated Node #3: [210, 161] from Operation: 74+87=161
Current State: 49:[210, 161], Operations: ['21*10=210', '74+87=161']
Exploring Operation: 210-161=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
11,
5,
6,
18
] | 65 | [
"11-6=5",
"18-5=13",
"5*13=65"
] | Current State: 65:[11, 5, 6, 18], Operations: []
Exploring Operation: 11-6=5, Resulting Numbers: [5, 18, 5]
Generated Node #2: [5, 18, 5] from Operation: 11-6=5
Current State: 65:[5, 18, 5], Operations: ['11-6=5']
Exploring Operation: 18-5=13, Resulting Numbers: [13]
13,65 equal: Goal Reached
Exploring Operation: 5*13=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
45,
61,
31,
58
] | 17 | [
"45+61=106",
"31+58=89",
"106-89=17"
] | Current State: 17:[45, 61, 31, 58], Operations: []
Exploring Operation: 45+61=106, Resulting Numbers: [31, 58, 106]
Generated Node #2: [31, 58, 106] from Operation: 45+61=106
Current State: 17:[31, 58, 106], Operations: ['45+61=106']
Exploring Operation: 31+58=89, Resulting Numbers: [106, 89]
Generated Node #3: [106, 89] from Operation: 31+58=89
Current State: 17:[106, 89], Operations: ['45+61=106', '31+58=89']
Exploring Operation: 106-89=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
92,
26,
27,
83
] | 62 | [
"92+26=118",
"83-27=56",
"118-56=62"
] | Current State: 62:[92, 26, 27, 83], Operations: []
Exploring Operation: 92+26=118, Resulting Numbers: [27, 83, 118]
Generated Node #2: [27, 83, 118] from Operation: 92+26=118
Current State: 62:[27, 83, 118], Operations: ['92+26=118']
Exploring Operation: 83-27=56, Resulting Numbers: [118, 56]
Generated Node #3: [118, 56] from Operation: 83-27=56
Current State: 62:[118, 56], Operations: ['92+26=118', '83-27=56']
Exploring Operation: 118-56=62, Resulting Numbers: [62]
62,62 equal: Goal Reached
| 4 |
[
25,
75,
9,
40
] | 90 | [
"75-25=50",
"50-40=10",
"9*10=90"
] | Current State: 90:[25, 75, 9, 40], Operations: []
Exploring Operation: 75-25=50, Resulting Numbers: [9, 40, 50]
Generated Node #2: [9, 40, 50] from Operation: 75-25=50
Current State: 90:[9, 40, 50], Operations: ['75-25=50']
Exploring Operation: 50-40=10, Resulting Numbers: [9, 10]
Generated Node #3: [9, 10] from Operation: 50-40=10
Current State: 90:[9, 10], Operations: ['75-25=50', '50-40=10']
Exploring Operation: 9*10=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
9,
7,
70,
60
] | 26 | [
"9+7=16",
"70-60=10",
"16+10=26"
] | Current State: 26:[9, 7, 70, 60], Operations: []
Exploring Operation: 9+7=16, Resulting Numbers: [70, 60, 16]
Generated Node #2: [70, 60, 16] from Operation: 9+7=16
Current State: 26:[70, 60, 16], Operations: ['9+7=16']
Exploring Operation: 70-60=10, Resulting Numbers: [16, 10]
Generated Node #3: [16, 10] from Operation: 70-60=10
Current State: 26:[16, 10], Operations: ['9+7=16', '70-60=10']
Exploring Operation: 16+10=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
83,
29,
10,
9
] | 88 | [
"29-10=19",
"9*19=171",
"171-83=88"
] | Current State: 88:[83, 29, 10, 9], Operations: []
Exploring Operation: 29-10=19, Resulting Numbers: [83, 9, 19]
Generated Node #2: [83, 9, 19] from Operation: 29-10=19
Current State: 88:[83, 9, 19], Operations: ['29-10=19']
Exploring Operation: 9*19=171, Resulting Numbers: [83, 171]
Generated Node #3: [83, 171] from Operation: 9*19=171
Current State: 88:[83, 171], Operations: ['29-10=19', '9*19=171']
Exploring Operation: 171-83=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
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