nums listlengths 4 4 | target int64 10 100 | solution listlengths 3 3 | optimal_path stringlengths 282 529 | start_size int64 4 4 |
|---|---|---|---|---|
[
81,
19,
24,
4
] | 61 | [
"24-19=5",
"4*5=20",
"81-20=61"
] | Current State: 61:[81, 19, 24, 4], Operations: []
Exploring Operation: 24-19=5, Resulting Numbers: [81, 4, 5]
Generated Node #2: [81, 4, 5] from Operation: 24-19=5
Current State: 61:[81, 4, 5], Operations: ['24-19=5']
Exploring Operation: 4*5=20, Resulting Numbers: [81, 20]
Generated Node #3: [81, 20] from Operation: 4*5=20
Current State: 61:[81, 20], Operations: ['24-19=5', '4*5=20']
Exploring Operation: 81-20=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
10,
5,
28,
74
] | 16 | [
"28-10=18",
"5*18=90",
"90-74=16"
] | Current State: 16:[10, 5, 28, 74], Operations: []
Exploring Operation: 28-10=18, Resulting Numbers: [5, 74, 18]
Generated Node #2: [5, 74, 18] from Operation: 28-10=18
Current State: 16:[5, 74, 18], Operations: ['28-10=18']
Exploring Operation: 5*18=90, Resulting Numbers: [74, 90]
Generated Node #3: [74, 90] from Operation: 5*18=90
Current State: 16:[74, 90], Operations: ['28-10=18', '5*18=90']
Exploring Operation: 90-74=16, Resulting Numbers: [16]
16,16 equal: Goal Reached
| 4 |
[
83,
6,
35,
72
] | 18 | [
"83+6=89",
"35+72=107",
"107-89=18"
] | Current State: 18:[83, 6, 35, 72], Operations: []
Exploring Operation: 83+6=89, Resulting Numbers: [35, 72, 89]
Generated Node #2: [35, 72, 89] from Operation: 83+6=89
Current State: 18:[35, 72, 89], Operations: ['83+6=89']
Exploring Operation: 35+72=107, Resulting Numbers: [89, 107]
Generated Node #3: [89, 107] from Operation: 35+72=107
Current State: 18:[89, 107], Operations: ['83+6=89', '35+72=107']
Exploring Operation: 107-89=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
65,
28,
9,
70
] | 95 | [
"70-65=5",
"28-9=19",
"5*19=95"
] | Current State: 95:[65, 28, 9, 70], Operations: []
Exploring Operation: 70-65=5, Resulting Numbers: [28, 9, 5]
Generated Node #2: [28, 9, 5] from Operation: 70-65=5
Current State: 95:[28, 9, 5], Operations: ['70-65=5']
Exploring Operation: 28-9=19, Resulting Numbers: [5, 19]
Generated Node #3: [5, 19] from Operation: 28-9=19
Current State: 95:[5, 19], Operations: ['70-65=5', '28-9=19']
Exploring Operation: 5*19=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
91,
19,
53,
70
] | 55 | [
"91-19=72",
"70-53=17",
"72-17=55"
] | Current State: 55:[91, 19, 53, 70], Operations: []
Exploring Operation: 91-19=72, Resulting Numbers: [53, 70, 72]
Generated Node #2: [53, 70, 72] from Operation: 91-19=72
Current State: 55:[53, 70, 72], Operations: ['91-19=72']
Exploring Operation: 70-53=17, Resulting Numbers: [72, 17]
Generated Node #3: [72, 17] from Operation: 70-53=17
Current State: 55:[72, 17], Operations: ['91-19=72', '70-53=17']
Exploring Operation: 72-17=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
42,
74,
64,
2
] | 94 | [
"74-42=32",
"64-2=62",
"32+62=94"
] | Current State: 94:[42, 74, 64, 2], Operations: []
Exploring Operation: 74-42=32, Resulting Numbers: [64, 2, 32]
Generated Node #2: [64, 2, 32] from Operation: 74-42=32
Current State: 94:[64, 2, 32], Operations: ['74-42=32']
Exploring Operation: 64-2=62, Resulting Numbers: [32, 62]
Generated Node #3: [32, 62] from Operation: 64-2=62
Current State: 94:[32, 62], Operations: ['74-42=32', '64-2=62']
Exploring Operation: 32+62=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
12,
73,
56,
4
] | 71 | [
"12+73=85",
"56/4=14",
"85-14=71"
] | Current State: 71:[12, 73, 56, 4], Operations: []
Exploring Operation: 12+73=85, Resulting Numbers: [56, 4, 85]
Generated Node #2: [56, 4, 85] from Operation: 12+73=85
Current State: 71:[56, 4, 85], Operations: ['12+73=85']
Exploring Operation: 56/4=14, Resulting Numbers: [85, 14]
Generated Node #3: [85, 14] from Operation: 56/4=14
Current State: 71:[85, 14], Operations: ['12+73=85', '56/4=14']
Exploring Operation: 85-14=71, Resulting Numbers: [71]
71,71 equal: Goal Reached
| 4 |
[
49,
1,
98,
37
] | 86 | [
"49*1=49",
"98+37=135",
"135-49=86"
] | Current State: 86:[49, 1, 98, 37], Operations: []
Exploring Operation: 49*1=49, Resulting Numbers: [98, 37, 49]
Generated Node #2: [98, 37, 49] from Operation: 49*1=49
Current State: 86:[98, 37, 49], Operations: ['49*1=49']
Exploring Operation: 98+37=135, Resulting Numbers: [49, 135]
Generated Node #3: [49, 135] from Operation: 98+37=135
Current State: 86:[49, 135], Operations: ['49*1=49', '98+37=135']
Exploring Operation: 135-49=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
31,
85,
49,
51
] | 34 | [
"31*51=1581",
"85+1581=1666",
"1666/49=34"
] | Current State: 34:[31, 85, 49, 51], Operations: []
Exploring Operation: 31*51=1581, Resulting Numbers: [85, 49, 1581]
Generated Node #2: [85, 49, 1581] from Operation: 31*51=1581
Current State: 34:[85, 49, 1581], Operations: ['31*51=1581']
Exploring Operation: 85+1581=1666, Resulting Numbers: [49, 1666]
Generated Node #3: [49, 1666] from Operation: 85+1581=1666
Current State: 34:[49, 1666], Operations: ['31*51=1581', '85+1581=1666']
Exploring Operation: 1666/49=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
4,
30,
10,
63
] | 47 | [
"4*30=120",
"10+63=73",
"120-73=47"
] | Current State: 47:[4, 30, 10, 63], Operations: []
Exploring Operation: 4*30=120, Resulting Numbers: [10, 63, 120]
Generated Node #2: [10, 63, 120] from Operation: 4*30=120
Current State: 47:[10, 63, 120], Operations: ['4*30=120']
Exploring Operation: 10+63=73, Resulting Numbers: [120, 73]
Generated Node #3: [120, 73] from Operation: 10+63=73
Current State: 47:[120, 73], Operations: ['4*30=120', '10+63=73']
Exploring Operation: 120-73=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
91,
80,
8,
8
] | 91 | [
"8-8=0",
"80*0=0",
"91+0=91"
] | Current State: 91:[91, 80, 8, 8], Operations: []
Exploring Operation: 8-8=0, Resulting Numbers: [91, 80, 0]
Generated Node #2: [91, 80, 0] from Operation: 8-8=0
Current State: 91:[91, 80, 0], Operations: ['8-8=0']
Exploring Operation: 80*0=0, Resulting Numbers: [91, 0]
Generated Node #3: [91, 0] from Operation: 80*0=0
Current State: 91:[91, 0], Operations: ['8-8=0', '80*0=0']
Exploring Operation: 91+0=91, Resulting Numbers: [91]
91,91 equal: Goal Reached
| 4 |
[
99,
17,
95,
22
] | 20 | [
"99-95=4",
"22-17=5",
"4*5=20"
] | Current State: 20:[99, 17, 95, 22], Operations: []
Exploring Operation: 99-95=4, Resulting Numbers: [17, 22, 4]
Generated Node #2: [17, 22, 4] from Operation: 99-95=4
Current State: 20:[17, 22, 4], Operations: ['99-95=4']
Exploring Operation: 22-17=5, Resulting Numbers: [4, 5]
Generated Node #3: [4, 5] from Operation: 22-17=5
Current State: 20:[4, 5], Operations: ['99-95=4', '22-17=5']
Exploring Operation: 4*5=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
94,
52,
47,
32
] | 86 | [
"94/47=2",
"52+32=84",
"2+84=86"
] | Current State: 86:[94, 52, 47, 32], Operations: []
Exploring Operation: 94/47=2, Resulting Numbers: [52, 32, 2]
Generated Node #2: [52, 32, 2] from Operation: 94/47=2
Current State: 86:[52, 32, 2], Operations: ['94/47=2']
Exploring Operation: 52+32=84, Resulting Numbers: [2, 84]
Generated Node #3: [2, 84] from Operation: 52+32=84
Current State: 86:[2, 84], Operations: ['94/47=2', '52+32=84']
Exploring Operation: 2+84=86, Resulting Numbers: [86]
86,86 equal: Goal Reached
| 4 |
[
75,
33,
99,
32
] | 46 | [
"75-32=43",
"99/33=3",
"43+3=46"
] | Current State: 46:[75, 33, 99, 32], Operations: []
Exploring Operation: 75-32=43, Resulting Numbers: [33, 99, 43]
Generated Node #2: [33, 99, 43] from Operation: 75-32=43
Current State: 46:[33, 99, 43], Operations: ['75-32=43']
Exploring Operation: 99/33=3, Resulting Numbers: [43, 3]
Generated Node #3: [43, 3] from Operation: 99/33=3
Current State: 46:[43, 3], Operations: ['75-32=43', '99/33=3']
Exploring Operation: 43+3=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
51,
21,
20,
67
] | 77 | [
"51-21=30",
"67-20=47",
"30+47=77"
] | Current State: 77:[51, 21, 20, 67], Operations: []
Exploring Operation: 51-21=30, Resulting Numbers: [20, 67, 30]
Generated Node #2: [20, 67, 30] from Operation: 51-21=30
Current State: 77:[20, 67, 30], Operations: ['51-21=30']
Exploring Operation: 67-20=47, Resulting Numbers: [30, 47]
Generated Node #3: [30, 47] from Operation: 67-20=47
Current State: 77:[30, 47], Operations: ['51-21=30', '67-20=47']
Exploring Operation: 30+47=77, Resulting Numbers: [77]
77,77 equal: Goal Reached
| 4 |
[
69,
76,
30,
55
] | 92 | [
"76-69=7",
"30+55=85",
"7+85=92"
] | Current State: 92:[69, 76, 30, 55], Operations: []
Exploring Operation: 76-69=7, Resulting Numbers: [30, 55, 7]
Generated Node #2: [30, 55, 7] from Operation: 76-69=7
Current State: 92:[30, 55, 7], Operations: ['76-69=7']
Exploring Operation: 30+55=85, Resulting Numbers: [7, 85]
Generated Node #3: [7, 85] from Operation: 30+55=85
Current State: 92:[7, 85], Operations: ['76-69=7', '30+55=85']
Exploring Operation: 7+85=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
68,
38,
32,
91
] | 29 | [
"68-38=30",
"91-32=59",
"59-30=29"
] | Current State: 29:[68, 38, 32, 91], Operations: []
Exploring Operation: 68-38=30, Resulting Numbers: [32, 91, 30]
Generated Node #2: [32, 91, 30] from Operation: 68-38=30
Current State: 29:[32, 91, 30], Operations: ['68-38=30']
Exploring Operation: 91-32=59, Resulting Numbers: [30, 59]
Generated Node #3: [30, 59] from Operation: 91-32=59
Current State: 29:[30, 59], Operations: ['68-38=30', '91-32=59']
Exploring Operation: 59-30=29, Resulting Numbers: [29]
29,29 equal: Goal Reached
| 4 |
[
91,
6,
8,
27
] | 59 | [
"91+27=118",
"8-6=2",
"118/2=59"
] | Current State: 59:[91, 6, 8, 27], Operations: []
Exploring Operation: 91+27=118, Resulting Numbers: [6, 8, 118]
Generated Node #2: [6, 8, 118] from Operation: 91+27=118
Current State: 59:[6, 8, 118], Operations: ['91+27=118']
Exploring Operation: 8-6=2, Resulting Numbers: [118, 2]
Generated Node #3: [118, 2] from Operation: 8-6=2
Current State: 59:[118, 2], Operations: ['91+27=118', '8-6=2']
Exploring Operation: 118/2=59, Resulting Numbers: [59]
59,59 equal: Goal Reached
| 4 |
[
56,
32,
28,
92
] | 32 | [
"56+32=88",
"28+92=120",
"120-88=32"
] | Current State: 32:[56, 32, 28, 92], Operations: []
Exploring Operation: 56+32=88, Resulting Numbers: [28, 92, 88]
Generated Node #2: [28, 92, 88] from Operation: 56+32=88
Current State: 32:[28, 92, 88], Operations: ['56+32=88']
Exploring Operation: 28+92=120, Resulting Numbers: [88, 120]
Generated Node #3: [88, 120] from Operation: 28+92=120
Current State: 32:[88, 120], Operations: ['56+32=88', '28+92=120']
Exploring Operation: 120-88=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
63,
45,
10,
55
] | 35 | [
"63-55=8",
"10*8=80",
"80-45=35"
] | Current State: 35:[63, 45, 10, 55], Operations: []
Exploring Operation: 63-55=8, Resulting Numbers: [45, 10, 8]
Generated Node #2: [45, 10, 8] from Operation: 63-55=8
Current State: 35:[45, 10, 8], Operations: ['63-55=8']
Exploring Operation: 10*8=80, Resulting Numbers: [45, 80]
Generated Node #3: [45, 80] from Operation: 10*8=80
Current State: 35:[45, 80], Operations: ['63-55=8', '10*8=80']
Exploring Operation: 80-45=35, Resulting Numbers: [35]
35,35 equal: Goal Reached
| 4 |
[
6,
18,
96,
85
] | 17 | [
"96-6=90",
"18*85=1530",
"1530/90=17"
] | Current State: 17:[6, 18, 96, 85], Operations: []
Exploring Operation: 96-6=90, Resulting Numbers: [18, 85, 90]
Generated Node #2: [18, 85, 90] from Operation: 96-6=90
Current State: 17:[18, 85, 90], Operations: ['96-6=90']
Exploring Operation: 18*85=1530, Resulting Numbers: [90, 1530]
Generated Node #3: [90, 1530] from Operation: 18*85=1530
Current State: 17:[90, 1530], Operations: ['96-6=90', '18*85=1530']
Exploring Operation: 1530/90=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
93,
12,
14,
56
] | 19 | [
"93+56=149",
"12*14=168",
"168-149=19"
] | Current State: 19:[93, 12, 14, 56], Operations: []
Exploring Operation: 93+56=149, Resulting Numbers: [12, 14, 149]
Generated Node #2: [12, 14, 149] from Operation: 93+56=149
Current State: 19:[12, 14, 149], Operations: ['93+56=149']
Exploring Operation: 12*14=168, Resulting Numbers: [149, 168]
Generated Node #3: [149, 168] from Operation: 12*14=168
Current State: 19:[149, 168], Operations: ['93+56=149', '12*14=168']
Exploring Operation: 168-149=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
27,
52,
82,
83
] | 79 | [
"27+52=79",
"83-82=1",
"79*1=79"
] | Current State: 79:[27, 52, 82, 83], Operations: []
Exploring Operation: 27+52=79, Resulting Numbers: [82, 83, 79]
Generated Node #2: [82, 83, 79] from Operation: 27+52=79
Current State: 79:[82, 83, 79], Operations: ['27+52=79']
Exploring Operation: 83-82=1, Resulting Numbers: [79, 1]
Generated Node #3: [79, 1] from Operation: 83-82=1
Current State: 79:[79, 1], Operations: ['27+52=79', '83-82=1']
Exploring Operation: 79*1=79, Resulting Numbers: [79]
79,79 equal: Goal Reached
| 4 |
[
46,
48,
59,
30
] | 88 | [
"48-46=2",
"59*2=118",
"118-30=88"
] | Current State: 88:[46, 48, 59, 30], Operations: []
Exploring Operation: 48-46=2, Resulting Numbers: [59, 30, 2]
Generated Node #2: [59, 30, 2] from Operation: 48-46=2
Current State: 88:[59, 30, 2], Operations: ['48-46=2']
Exploring Operation: 59*2=118, Resulting Numbers: [30, 118]
Generated Node #3: [30, 118] from Operation: 59*2=118
Current State: 88:[30, 118], Operations: ['48-46=2', '59*2=118']
Exploring Operation: 118-30=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
90,
88,
99,
48
] | 49 | [
"90-88=2",
"99-48=51",
"51-2=49"
] | Current State: 49:[90, 88, 99, 48], Operations: []
Exploring Operation: 90-88=2, Resulting Numbers: [99, 48, 2]
Generated Node #2: [99, 48, 2] from Operation: 90-88=2
Current State: 49:[99, 48, 2], Operations: ['90-88=2']
Exploring Operation: 99-48=51, Resulting Numbers: [2, 51]
Generated Node #3: [2, 51] from Operation: 99-48=51
Current State: 49:[2, 51], Operations: ['90-88=2', '99-48=51']
Exploring Operation: 51-2=49, Resulting Numbers: [49]
49,49 equal: Goal Reached
| 4 |
[
75,
11,
9,
84
] | 12 | [
"75+9=84",
"84/84=1",
"11+1=12"
] | Current State: 12:[75, 11, 9, 84], Operations: []
Exploring Operation: 75+9=84, Resulting Numbers: [11, 84, 84]
Generated Node #2: [11, 84, 84] from Operation: 75+9=84
Current State: 12:[11, 84, 84], Operations: ['75+9=84']
Exploring Operation: 84/84=1, Resulting Numbers: [11, 1]
Generated Node #3: [11, 1] from Operation: 84/84=1
Current State: 12:[11, 1], Operations: ['75+9=84', '84/84=1']
Exploring Operation: 11+1=12, Resulting Numbers: [12]
12,12 equal: Goal Reached
| 4 |
[
74,
6,
21,
93
] | 55 | [
"21+93=114",
"114/6=19",
"74-19=55"
] | Current State: 55:[74, 6, 21, 93], Operations: []
Exploring Operation: 21+93=114, Resulting Numbers: [74, 6, 114]
Generated Node #2: [74, 6, 114] from Operation: 21+93=114
Current State: 55:[74, 6, 114], Operations: ['21+93=114']
Exploring Operation: 114/6=19, Resulting Numbers: [74, 19]
Generated Node #3: [74, 19] from Operation: 114/6=19
Current State: 55:[74, 19], Operations: ['21+93=114', '114/6=19']
Exploring Operation: 74-19=55, Resulting Numbers: [55]
55,55 equal: Goal Reached
| 4 |
[
81,
11,
74,
10
] | 67 | [
"81-11=70",
"70/10=7",
"74-7=67"
] | Current State: 67:[81, 11, 74, 10], Operations: []
Exploring Operation: 81-11=70, Resulting Numbers: [74, 10, 70]
Generated Node #2: [74, 10, 70] from Operation: 81-11=70
Current State: 67:[74, 10, 70], Operations: ['81-11=70']
Exploring Operation: 70/10=7, Resulting Numbers: [74, 7]
Generated Node #3: [74, 7] from Operation: 70/10=7
Current State: 67:[74, 7], Operations: ['81-11=70', '70/10=7']
Exploring Operation: 74-7=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
27,
63,
93,
78
] | 75 | [
"27+63=90",
"93-78=15",
"90-15=75"
] | Current State: 75:[27, 63, 93, 78], Operations: []
Exploring Operation: 27+63=90, Resulting Numbers: [93, 78, 90]
Generated Node #2: [93, 78, 90] from Operation: 27+63=90
Current State: 75:[93, 78, 90], Operations: ['27+63=90']
Exploring Operation: 93-78=15, Resulting Numbers: [90, 15]
Generated Node #3: [90, 15] from Operation: 93-78=15
Current State: 75:[90, 15], Operations: ['27+63=90', '93-78=15']
Exploring Operation: 90-15=75, Resulting Numbers: [75]
75,75 equal: Goal Reached
| 4 |
[
82,
5,
63,
36
] | 61 | [
"5+36=41",
"82/41=2",
"63-2=61"
] | Current State: 61:[82, 5, 63, 36], Operations: []
Exploring Operation: 5+36=41, Resulting Numbers: [82, 63, 41]
Generated Node #2: [82, 63, 41] from Operation: 5+36=41
Current State: 61:[82, 63, 41], Operations: ['5+36=41']
Exploring Operation: 82/41=2, Resulting Numbers: [63, 2]
Generated Node #3: [63, 2] from Operation: 82/41=2
Current State: 61:[63, 2], Operations: ['5+36=41', '82/41=2']
Exploring Operation: 63-2=61, Resulting Numbers: [61]
61,61 equal: Goal Reached
| 4 |
[
57,
99,
53,
24
] | 13 | [
"99-57=42",
"53-24=29",
"42-29=13"
] | Current State: 13:[57, 99, 53, 24], Operations: []
Exploring Operation: 99-57=42, Resulting Numbers: [53, 24, 42]
Generated Node #2: [53, 24, 42] from Operation: 99-57=42
Current State: 13:[53, 24, 42], Operations: ['99-57=42']
Exploring Operation: 53-24=29, Resulting Numbers: [42, 29]
Generated Node #3: [42, 29] from Operation: 53-24=29
Current State: 13:[42, 29], Operations: ['99-57=42', '53-24=29']
Exploring Operation: 42-29=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
62,
23,
51,
20
] | 25 | [
"51-20=31",
"62/31=2",
"23+2=25"
] | Current State: 25:[62, 23, 51, 20], Operations: []
Exploring Operation: 51-20=31, Resulting Numbers: [62, 23, 31]
Generated Node #2: [62, 23, 31] from Operation: 51-20=31
Current State: 25:[62, 23, 31], Operations: ['51-20=31']
Exploring Operation: 62/31=2, Resulting Numbers: [23, 2]
Generated Node #3: [23, 2] from Operation: 62/31=2
Current State: 25:[23, 2], Operations: ['51-20=31', '62/31=2']
Exploring Operation: 23+2=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
37,
45,
63,
18
] | 65 | [
"63-37=26",
"45*26=1170",
"1170/18=65"
] | Current State: 65:[37, 45, 63, 18], Operations: []
Exploring Operation: 63-37=26, Resulting Numbers: [45, 18, 26]
Generated Node #2: [45, 18, 26] from Operation: 63-37=26
Current State: 65:[45, 18, 26], Operations: ['63-37=26']
Exploring Operation: 45*26=1170, Resulting Numbers: [18, 1170]
Generated Node #3: [18, 1170] from Operation: 45*26=1170
Current State: 65:[18, 1170], Operations: ['63-37=26', '45*26=1170']
Exploring Operation: 1170/18=65, Resulting Numbers: [65]
65,65 equal: Goal Reached
| 4 |
[
13,
13,
35,
2
] | 18 | [
"13+13=26",
"35-26=9",
"2*9=18"
] | Current State: 18:[13, 13, 35, 2], Operations: []
Exploring Operation: 13+13=26, Resulting Numbers: [35, 2, 26]
Generated Node #2: [35, 2, 26] from Operation: 13+13=26
Current State: 18:[35, 2, 26], Operations: ['13+13=26']
Exploring Operation: 35-26=9, Resulting Numbers: [2, 9]
Generated Node #3: [2, 9] from Operation: 35-26=9
Current State: 18:[2, 9], Operations: ['13+13=26', '35-26=9']
Exploring Operation: 2*9=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
24,
59,
64,
75
] | 94 | [
"24+59=83",
"75-64=11",
"83+11=94"
] | Current State: 94:[24, 59, 64, 75], Operations: []
Exploring Operation: 24+59=83, Resulting Numbers: [64, 75, 83]
Generated Node #2: [64, 75, 83] from Operation: 24+59=83
Current State: 94:[64, 75, 83], Operations: ['24+59=83']
Exploring Operation: 75-64=11, Resulting Numbers: [83, 11]
Generated Node #3: [83, 11] from Operation: 75-64=11
Current State: 94:[83, 11], Operations: ['24+59=83', '75-64=11']
Exploring Operation: 83+11=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
40,
31,
79,
36
] | 52 | [
"40-31=9",
"79-36=43",
"9+43=52"
] | Current State: 52:[40, 31, 79, 36], Operations: []
Exploring Operation: 40-31=9, Resulting Numbers: [79, 36, 9]
Generated Node #2: [79, 36, 9] from Operation: 40-31=9
Current State: 52:[79, 36, 9], Operations: ['40-31=9']
Exploring Operation: 79-36=43, Resulting Numbers: [9, 43]
Generated Node #3: [9, 43] from Operation: 79-36=43
Current State: 52:[9, 43], Operations: ['40-31=9', '79-36=43']
Exploring Operation: 9+43=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
90,
80,
51,
93
] | 26 | [
"90+80=170",
"51+93=144",
"170-144=26"
] | Current State: 26:[90, 80, 51, 93], Operations: []
Exploring Operation: 90+80=170, Resulting Numbers: [51, 93, 170]
Generated Node #2: [51, 93, 170] from Operation: 90+80=170
Current State: 26:[51, 93, 170], Operations: ['90+80=170']
Exploring Operation: 51+93=144, Resulting Numbers: [170, 144]
Generated Node #3: [170, 144] from Operation: 51+93=144
Current State: 26:[170, 144], Operations: ['90+80=170', '51+93=144']
Exploring Operation: 170-144=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
[
34,
25,
42,
46
] | 97 | [
"34-25=9",
"42+46=88",
"9+88=97"
] | Current State: 97:[34, 25, 42, 46], Operations: []
Exploring Operation: 34-25=9, Resulting Numbers: [42, 46, 9]
Generated Node #2: [42, 46, 9] from Operation: 34-25=9
Current State: 97:[42, 46, 9], Operations: ['34-25=9']
Exploring Operation: 42+46=88, Resulting Numbers: [9, 88]
Generated Node #3: [9, 88] from Operation: 42+46=88
Current State: 97:[9, 88], Operations: ['34-25=9', '42+46=88']
Exploring Operation: 9+88=97, Resulting Numbers: [97]
97,97 equal: Goal Reached
| 4 |
[
17,
15,
68,
83
] | 18 | [
"15+68=83",
"83/83=1",
"17+1=18"
] | Current State: 18:[17, 15, 68, 83], Operations: []
Exploring Operation: 15+68=83, Resulting Numbers: [17, 83, 83]
Generated Node #2: [17, 83, 83] from Operation: 15+68=83
Current State: 18:[17, 83, 83], Operations: ['15+68=83']
Exploring Operation: 83/83=1, Resulting Numbers: [17, 1]
Generated Node #3: [17, 1] from Operation: 83/83=1
Current State: 18:[17, 1], Operations: ['15+68=83', '83/83=1']
Exploring Operation: 17+1=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
73,
2,
33,
25
] | 13 | [
"73-2=71",
"33+25=58",
"71-58=13"
] | Current State: 13:[73, 2, 33, 25], Operations: []
Exploring Operation: 73-2=71, Resulting Numbers: [33, 25, 71]
Generated Node #2: [33, 25, 71] from Operation: 73-2=71
Current State: 13:[33, 25, 71], Operations: ['73-2=71']
Exploring Operation: 33+25=58, Resulting Numbers: [71, 58]
Generated Node #3: [71, 58] from Operation: 33+25=58
Current State: 13:[71, 58], Operations: ['73-2=71', '33+25=58']
Exploring Operation: 71-58=13, Resulting Numbers: [13]
13,13 equal: Goal Reached
| 4 |
[
41,
24,
9,
18
] | 67 | [
"41+24=65",
"18/9=2",
"65+2=67"
] | Current State: 67:[41, 24, 9, 18], Operations: []
Exploring Operation: 41+24=65, Resulting Numbers: [9, 18, 65]
Generated Node #2: [9, 18, 65] from Operation: 41+24=65
Current State: 67:[9, 18, 65], Operations: ['41+24=65']
Exploring Operation: 18/9=2, Resulting Numbers: [65, 2]
Generated Node #3: [65, 2] from Operation: 18/9=2
Current State: 67:[65, 2], Operations: ['41+24=65', '18/9=2']
Exploring Operation: 65+2=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
78,
17,
4,
58
] | 64 | [
"17-4=13",
"78/13=6",
"58+6=64"
] | Current State: 64:[78, 17, 4, 58], Operations: []
Exploring Operation: 17-4=13, Resulting Numbers: [78, 58, 13]
Generated Node #2: [78, 58, 13] from Operation: 17-4=13
Current State: 64:[78, 58, 13], Operations: ['17-4=13']
Exploring Operation: 78/13=6, Resulting Numbers: [58, 6]
Generated Node #3: [58, 6] from Operation: 78/13=6
Current State: 64:[58, 6], Operations: ['17-4=13', '78/13=6']
Exploring Operation: 58+6=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
47,
70,
89,
95
] | 52 | [
"89-70=19",
"95/19=5",
"47+5=52"
] | Current State: 52:[47, 70, 89, 95], Operations: []
Exploring Operation: 89-70=19, Resulting Numbers: [47, 95, 19]
Generated Node #2: [47, 95, 19] from Operation: 89-70=19
Current State: 52:[47, 95, 19], Operations: ['89-70=19']
Exploring Operation: 95/19=5, Resulting Numbers: [47, 5]
Generated Node #3: [47, 5] from Operation: 95/19=5
Current State: 52:[47, 5], Operations: ['89-70=19', '95/19=5']
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
1,
83,
41,
13
] | 56 | [
"1+83=84",
"41-13=28",
"84-28=56"
] | Current State: 56:[1, 83, 41, 13], Operations: []
Exploring Operation: 1+83=84, Resulting Numbers: [41, 13, 84]
Generated Node #2: [41, 13, 84] from Operation: 1+83=84
Current State: 56:[41, 13, 84], Operations: ['1+83=84']
Exploring Operation: 41-13=28, Resulting Numbers: [84, 28]
Generated Node #3: [84, 28] from Operation: 41-13=28
Current State: 56:[84, 28], Operations: ['1+83=84', '41-13=28']
Exploring Operation: 84-28=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
58,
18,
96,
52
] | 32 | [
"58+18=76",
"96-52=44",
"76-44=32"
] | Current State: 32:[58, 18, 96, 52], Operations: []
Exploring Operation: 58+18=76, Resulting Numbers: [96, 52, 76]
Generated Node #2: [96, 52, 76] from Operation: 58+18=76
Current State: 32:[96, 52, 76], Operations: ['58+18=76']
Exploring Operation: 96-52=44, Resulting Numbers: [76, 44]
Generated Node #3: [76, 44] from Operation: 96-52=44
Current State: 32:[76, 44], Operations: ['58+18=76', '96-52=44']
Exploring Operation: 76-44=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
28,
32,
23,
31
] | 73 | [
"31-28=3",
"32*3=96",
"96-23=73"
] | Current State: 73:[28, 32, 23, 31], Operations: []
Exploring Operation: 31-28=3, Resulting Numbers: [32, 23, 3]
Generated Node #2: [32, 23, 3] from Operation: 31-28=3
Current State: 73:[32, 23, 3], Operations: ['31-28=3']
Exploring Operation: 32*3=96, Resulting Numbers: [23, 96]
Generated Node #3: [23, 96] from Operation: 32*3=96
Current State: 73:[23, 96], Operations: ['31-28=3', '32*3=96']
Exploring Operation: 96-23=73, Resulting Numbers: [73]
73,73 equal: Goal Reached
| 4 |
[
42,
35,
74,
1
] | 82 | [
"42-35=7",
"74+1=75",
"7+75=82"
] | Current State: 82:[42, 35, 74, 1], Operations: []
Exploring Operation: 42-35=7, Resulting Numbers: [74, 1, 7]
Generated Node #2: [74, 1, 7] from Operation: 42-35=7
Current State: 82:[74, 1, 7], Operations: ['42-35=7']
Exploring Operation: 74+1=75, Resulting Numbers: [7, 75]
Generated Node #3: [7, 75] from Operation: 74+1=75
Current State: 82:[7, 75], Operations: ['42-35=7', '74+1=75']
Exploring Operation: 7+75=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
32,
74,
58,
42
] | 40 | [
"74-58=16",
"32/16=2",
"42-2=40"
] | Current State: 40:[32, 74, 58, 42], Operations: []
Exploring Operation: 74-58=16, Resulting Numbers: [32, 42, 16]
Generated Node #2: [32, 42, 16] from Operation: 74-58=16
Current State: 40:[32, 42, 16], Operations: ['74-58=16']
Exploring Operation: 32/16=2, Resulting Numbers: [42, 2]
Generated Node #3: [42, 2] from Operation: 32/16=2
Current State: 40:[42, 2], Operations: ['74-58=16', '32/16=2']
Exploring Operation: 42-2=40, Resulting Numbers: [40]
40,40 equal: Goal Reached
| 4 |
[
91,
21,
90,
36
] | 58 | [
"91+21=112",
"90-36=54",
"112-54=58"
] | Current State: 58:[91, 21, 90, 36], Operations: []
Exploring Operation: 91+21=112, Resulting Numbers: [90, 36, 112]
Generated Node #2: [90, 36, 112] from Operation: 91+21=112
Current State: 58:[90, 36, 112], Operations: ['91+21=112']
Exploring Operation: 90-36=54, Resulting Numbers: [112, 54]
Generated Node #3: [112, 54] from Operation: 90-36=54
Current State: 58:[112, 54], Operations: ['91+21=112', '90-36=54']
Exploring Operation: 112-54=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
28,
30,
76,
35
] | 99 | [
"28+30=58",
"76-35=41",
"58+41=99"
] | Current State: 99:[28, 30, 76, 35], Operations: []
Exploring Operation: 28+30=58, Resulting Numbers: [76, 35, 58]
Generated Node #2: [76, 35, 58] from Operation: 28+30=58
Current State: 99:[76, 35, 58], Operations: ['28+30=58']
Exploring Operation: 76-35=41, Resulting Numbers: [58, 41]
Generated Node #3: [58, 41] from Operation: 76-35=41
Current State: 99:[58, 41], Operations: ['28+30=58', '76-35=41']
Exploring Operation: 58+41=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
48,
74,
22,
69
] | 14 | [
"48+22=70",
"74-69=5",
"70/5=14"
] | Current State: 14:[48, 74, 22, 69], Operations: []
Exploring Operation: 48+22=70, Resulting Numbers: [74, 69, 70]
Generated Node #2: [74, 69, 70] from Operation: 48+22=70
Current State: 14:[74, 69, 70], Operations: ['48+22=70']
Exploring Operation: 74-69=5, Resulting Numbers: [70, 5]
Generated Node #3: [70, 5] from Operation: 74-69=5
Current State: 14:[70, 5], Operations: ['48+22=70', '74-69=5']
Exploring Operation: 70/5=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
7,
22,
17,
60
] | 58 | [
"22-7=15",
"60-17=43",
"15+43=58"
] | Current State: 58:[7, 22, 17, 60], Operations: []
Exploring Operation: 22-7=15, Resulting Numbers: [17, 60, 15]
Generated Node #2: [17, 60, 15] from Operation: 22-7=15
Current State: 58:[17, 60, 15], Operations: ['22-7=15']
Exploring Operation: 60-17=43, Resulting Numbers: [15, 43]
Generated Node #3: [15, 43] from Operation: 60-17=43
Current State: 58:[15, 43], Operations: ['22-7=15', '60-17=43']
Exploring Operation: 15+43=58, Resulting Numbers: [58]
58,58 equal: Goal Reached
| 4 |
[
32,
80,
31,
80
] | 80 | [
"32*80=2560",
"31*80=2480",
"2560-2480=80"
] | Current State: 80:[32, 80, 31, 80], Operations: []
Exploring Operation: 32*80=2560, Resulting Numbers: [31, 2560]
Generated Node #2: [31, 2560] from Operation: 32*80=2560
Current State: 80:[31, 2560], Operations: ['32*80=2560']
Exploring Operation: 31*80=2480, Resulting Numbers: [2560, 2480]
Generated Node #3: [2560, 2480] from Operation: 31*80=2480
Current State: 80:[2560, 2480], Operations: ['32*80=2560', '31*80=2480']
Exploring Operation: 2560-2480=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
73,
26,
24,
29
] | 52 | [
"73-26=47",
"29-24=5",
"47+5=52"
] | Current State: 52:[73, 26, 24, 29], Operations: []
Exploring Operation: 73-26=47, Resulting Numbers: [24, 29, 47]
Generated Node #2: [24, 29, 47] from Operation: 73-26=47
Current State: 52:[24, 29, 47], Operations: ['73-26=47']
Exploring Operation: 29-24=5, Resulting Numbers: [47, 5]
Generated Node #3: [47, 5] from Operation: 29-24=5
Current State: 52:[47, 5], Operations: ['73-26=47', '29-24=5']
Exploring Operation: 47+5=52, Resulting Numbers: [52]
52,52 equal: Goal Reached
| 4 |
[
72,
20,
25,
16
] | 28 | [
"20-16=4",
"25*4=100",
"100-72=28"
] | Current State: 28:[72, 20, 25, 16], Operations: []
Exploring Operation: 20-16=4, Resulting Numbers: [72, 25, 4]
Generated Node #2: [72, 25, 4] from Operation: 20-16=4
Current State: 28:[72, 25, 4], Operations: ['20-16=4']
Exploring Operation: 25*4=100, Resulting Numbers: [72, 100]
Generated Node #3: [72, 100] from Operation: 25*4=100
Current State: 28:[72, 100], Operations: ['20-16=4', '25*4=100']
Exploring Operation: 100-72=28, Resulting Numbers: [28]
28,28 equal: Goal Reached
| 4 |
[
27,
9,
72,
72
] | 76 | [
"27-9=18",
"72/18=4",
"72+4=76"
] | Current State: 76:[27, 9, 72, 72], Operations: []
Exploring Operation: 27-9=18, Resulting Numbers: [72, 72, 18]
Generated Node #2: [72, 72, 18] from Operation: 27-9=18
Current State: 76:[72, 72, 18], Operations: ['27-9=18']
Exploring Operation: 72/18=4, Resulting Numbers: [4]
4,76 equal: Goal Reached
Exploring Operation: 72+4=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
45,
9,
23,
39
] | 99 | [
"39-23=16",
"9*16=144",
"144-45=99"
] | Current State: 99:[45, 9, 23, 39], Operations: []
Exploring Operation: 39-23=16, Resulting Numbers: [45, 9, 16]
Generated Node #2: [45, 9, 16] from Operation: 39-23=16
Current State: 99:[45, 9, 16], Operations: ['39-23=16']
Exploring Operation: 9*16=144, Resulting Numbers: [45, 144]
Generated Node #3: [45, 144] from Operation: 9*16=144
Current State: 99:[45, 144], Operations: ['39-23=16', '9*16=144']
Exploring Operation: 144-45=99, Resulting Numbers: [99]
99,99 equal: Goal Reached
| 4 |
[
6,
44,
29,
86
] | 44 | [
"6*29=174",
"44+86=130",
"174-130=44"
] | Current State: 44:[6, 44, 29, 86], Operations: []
Exploring Operation: 6*29=174, Resulting Numbers: [44, 86, 174]
Generated Node #2: [44, 86, 174] from Operation: 6*29=174
Current State: 44:[44, 86, 174], Operations: ['6*29=174']
Exploring Operation: 44+86=130, Resulting Numbers: [174, 130]
Generated Node #3: [174, 130] from Operation: 44+86=130
Current State: 44:[174, 130], Operations: ['6*29=174', '44+86=130']
Exploring Operation: 174-130=44, Resulting Numbers: [44]
44,44 equal: Goal Reached
| 4 |
[
22,
5,
63,
37
] | 33 | [
"22*63=1386",
"5+37=42",
"1386/42=33"
] | Current State: 33:[22, 5, 63, 37], Operations: []
Exploring Operation: 22*63=1386, Resulting Numbers: [5, 37, 1386]
Generated Node #2: [5, 37, 1386] from Operation: 22*63=1386
Current State: 33:[5, 37, 1386], Operations: ['22*63=1386']
Exploring Operation: 5+37=42, Resulting Numbers: [1386, 42]
Generated Node #3: [1386, 42] from Operation: 5+37=42
Current State: 33:[1386, 42], Operations: ['22*63=1386', '5+37=42']
Exploring Operation: 1386/42=33, Resulting Numbers: [33]
33,33 equal: Goal Reached
| 4 |
[
65,
47,
93,
75
] | 94 | [
"65+47=112",
"93-75=18",
"112-18=94"
] | Current State: 94:[65, 47, 93, 75], Operations: []
Exploring Operation: 65+47=112, Resulting Numbers: [93, 75, 112]
Generated Node #2: [93, 75, 112] from Operation: 65+47=112
Current State: 94:[93, 75, 112], Operations: ['65+47=112']
Exploring Operation: 93-75=18, Resulting Numbers: [112, 18]
Generated Node #3: [112, 18] from Operation: 93-75=18
Current State: 94:[112, 18], Operations: ['65+47=112', '93-75=18']
Exploring Operation: 112-18=94, Resulting Numbers: [94]
94,94 equal: Goal Reached
| 4 |
[
56,
44,
39,
27
] | 34 | [
"56+44=100",
"39+27=66",
"100-66=34"
] | Current State: 34:[56, 44, 39, 27], Operations: []
Exploring Operation: 56+44=100, Resulting Numbers: [39, 27, 100]
Generated Node #2: [39, 27, 100] from Operation: 56+44=100
Current State: 34:[39, 27, 100], Operations: ['56+44=100']
Exploring Operation: 39+27=66, Resulting Numbers: [100, 66]
Generated Node #3: [100, 66] from Operation: 39+27=66
Current State: 34:[100, 66], Operations: ['56+44=100', '39+27=66']
Exploring Operation: 100-66=34, Resulting Numbers: [34]
34,34 equal: Goal Reached
| 4 |
[
30,
96,
31,
24
] | 18 | [
"30+96=126",
"31-24=7",
"126/7=18"
] | Current State: 18:[30, 96, 31, 24], Operations: []
Exploring Operation: 30+96=126, Resulting Numbers: [31, 24, 126]
Generated Node #2: [31, 24, 126] from Operation: 30+96=126
Current State: 18:[31, 24, 126], Operations: ['30+96=126']
Exploring Operation: 31-24=7, Resulting Numbers: [126, 7]
Generated Node #3: [126, 7] from Operation: 31-24=7
Current State: 18:[126, 7], Operations: ['30+96=126', '31-24=7']
Exploring Operation: 126/7=18, Resulting Numbers: [18]
18,18 equal: Goal Reached
| 4 |
[
59,
90,
10,
9
] | 30 | [
"90-59=31",
"10-9=1",
"31-1=30"
] | Current State: 30:[59, 90, 10, 9], Operations: []
Exploring Operation: 90-59=31, Resulting Numbers: [10, 9, 31]
Generated Node #2: [10, 9, 31] from Operation: 90-59=31
Current State: 30:[10, 9, 31], Operations: ['90-59=31']
Exploring Operation: 10-9=1, Resulting Numbers: [31, 1]
Generated Node #3: [31, 1] from Operation: 10-9=1
Current State: 30:[31, 1], Operations: ['90-59=31', '10-9=1']
Exploring Operation: 31-1=30, Resulting Numbers: [30]
30,30 equal: Goal Reached
| 4 |
[
86,
46,
54,
34
] | 23 | [
"86-54=32",
"34-32=2",
"46/2=23"
] | Current State: 23:[86, 46, 54, 34], Operations: []
Exploring Operation: 86-54=32, Resulting Numbers: [46, 34, 32]
Generated Node #2: [46, 34, 32] from Operation: 86-54=32
Current State: 23:[46, 34, 32], Operations: ['86-54=32']
Exploring Operation: 34-32=2, Resulting Numbers: [46, 2]
Generated Node #3: [46, 2] from Operation: 34-32=2
Current State: 23:[46, 2], Operations: ['86-54=32', '34-32=2']
Exploring Operation: 46/2=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
3,
22,
58,
74
] | 98 | [
"74-22=52",
"3*52=156",
"156-58=98"
] | Current State: 98:[3, 22, 58, 74], Operations: []
Exploring Operation: 74-22=52, Resulting Numbers: [3, 58, 52]
Generated Node #2: [3, 58, 52] from Operation: 74-22=52
Current State: 98:[3, 58, 52], Operations: ['74-22=52']
Exploring Operation: 3*52=156, Resulting Numbers: [58, 156]
Generated Node #3: [58, 156] from Operation: 3*52=156
Current State: 98:[58, 156], Operations: ['74-22=52', '3*52=156']
Exploring Operation: 156-58=98, Resulting Numbers: [98]
98,98 equal: Goal Reached
| 4 |
[
75,
13,
69,
73
] | 80 | [
"75-13=62",
"69+73=142",
"142-62=80"
] | Current State: 80:[75, 13, 69, 73], Operations: []
Exploring Operation: 75-13=62, Resulting Numbers: [69, 73, 62]
Generated Node #2: [69, 73, 62] from Operation: 75-13=62
Current State: 80:[69, 73, 62], Operations: ['75-13=62']
Exploring Operation: 69+73=142, Resulting Numbers: [62, 142]
Generated Node #3: [62, 142] from Operation: 69+73=142
Current State: 80:[62, 142], Operations: ['75-13=62', '69+73=142']
Exploring Operation: 142-62=80, Resulting Numbers: [80]
80,80 equal: Goal Reached
| 4 |
[
9,
49,
5,
57
] | 67 | [
"57-49=8",
"9*8=72",
"72-5=67"
] | Current State: 67:[9, 49, 5, 57], Operations: []
Exploring Operation: 57-49=8, Resulting Numbers: [9, 5, 8]
Generated Node #2: [9, 5, 8] from Operation: 57-49=8
Current State: 67:[9, 5, 8], Operations: ['57-49=8']
Exploring Operation: 9*8=72, Resulting Numbers: [5, 72]
Generated Node #3: [5, 72] from Operation: 9*8=72
Current State: 67:[5, 72], Operations: ['57-49=8', '9*8=72']
Exploring Operation: 72-5=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
4,
83,
31,
71
] | 93 | [
"83-71=12",
"12/4=3",
"31*3=93"
] | Current State: 93:[4, 83, 31, 71], Operations: []
Exploring Operation: 83-71=12, Resulting Numbers: [4, 31, 12]
Generated Node #2: [4, 31, 12] from Operation: 83-71=12
Current State: 93:[4, 31, 12], Operations: ['83-71=12']
Exploring Operation: 12/4=3, Resulting Numbers: [31, 3]
Generated Node #3: [31, 3] from Operation: 12/4=3
Current State: 93:[31, 3], Operations: ['83-71=12', '12/4=3']
Exploring Operation: 31*3=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
99,
46,
53,
71
] | 70 | [
"99-46=53",
"53/53=1",
"71-1=70"
] | Current State: 70:[99, 46, 53, 71], Operations: []
Exploring Operation: 99-46=53, Resulting Numbers: [53, 71, 53]
Generated Node #2: [53, 71, 53] from Operation: 99-46=53
Current State: 70:[53, 71, 53], Operations: ['99-46=53']
Exploring Operation: 53/53=1, Resulting Numbers: [71, 1]
Generated Node #3: [71, 1] from Operation: 53/53=1
Current State: 70:[71, 1], Operations: ['99-46=53', '53/53=1']
Exploring Operation: 71-1=70, Resulting Numbers: [70]
70,70 equal: Goal Reached
| 4 |
[
40,
80,
10,
52
] | 20 | [
"52-40=12",
"80/10=8",
"12+8=20"
] | Current State: 20:[40, 80, 10, 52], Operations: []
Exploring Operation: 52-40=12, Resulting Numbers: [80, 10, 12]
Generated Node #2: [80, 10, 12] from Operation: 52-40=12
Current State: 20:[80, 10, 12], Operations: ['52-40=12']
Exploring Operation: 80/10=8, Resulting Numbers: [12, 8]
Generated Node #3: [12, 8] from Operation: 80/10=8
Current State: 20:[12, 8], Operations: ['52-40=12', '80/10=8']
Exploring Operation: 12+8=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
5,
36,
35,
25
] | 20 | [
"25-5=20",
"36-35=1",
"20*1=20"
] | Current State: 20:[5, 36, 35, 25], Operations: []
Exploring Operation: 25-5=20, Resulting Numbers: [36, 35, 20]
Generated Node #2: [36, 35, 20] from Operation: 25-5=20
Current State: 20:[36, 35, 20], Operations: ['25-5=20']
Exploring Operation: 36-35=1, Resulting Numbers: [20, 1]
Generated Node #3: [20, 1] from Operation: 36-35=1
Current State: 20:[20, 1], Operations: ['25-5=20', '36-35=1']
Exploring Operation: 20*1=20, Resulting Numbers: [20]
20,20 equal: Goal Reached
| 4 |
[
17,
14,
61,
42
] | 81 | [
"17+61=78",
"42/14=3",
"78+3=81"
] | Current State: 81:[17, 14, 61, 42], Operations: []
Exploring Operation: 17+61=78, Resulting Numbers: [14, 42, 78]
Generated Node #2: [14, 42, 78] from Operation: 17+61=78
Current State: 81:[14, 42, 78], Operations: ['17+61=78']
Exploring Operation: 42/14=3, Resulting Numbers: [78, 3]
Generated Node #3: [78, 3] from Operation: 42/14=3
Current State: 81:[78, 3], Operations: ['17+61=78', '42/14=3']
Exploring Operation: 78+3=81, Resulting Numbers: [81]
81,81 equal: Goal Reached
| 4 |
[
13,
50,
77,
52
] | 92 | [
"50-13=37",
"77+52=129",
"129-37=92"
] | Current State: 92:[13, 50, 77, 52], Operations: []
Exploring Operation: 50-13=37, Resulting Numbers: [77, 52, 37]
Generated Node #2: [77, 52, 37] from Operation: 50-13=37
Current State: 92:[77, 52, 37], Operations: ['50-13=37']
Exploring Operation: 77+52=129, Resulting Numbers: [37, 129]
Generated Node #3: [37, 129] from Operation: 77+52=129
Current State: 92:[37, 129], Operations: ['50-13=37', '77+52=129']
Exploring Operation: 129-37=92, Resulting Numbers: [92]
92,92 equal: Goal Reached
| 4 |
[
30,
40,
31,
72
] | 23 | [
"30*72=2160",
"2160/40=54",
"54-31=23"
] | Current State: 23:[30, 40, 31, 72], Operations: []
Exploring Operation: 30*72=2160, Resulting Numbers: [40, 31, 2160]
Generated Node #2: [40, 31, 2160] from Operation: 30*72=2160
Current State: 23:[40, 31, 2160], Operations: ['30*72=2160']
Exploring Operation: 2160/40=54, Resulting Numbers: [31, 54]
Generated Node #3: [31, 54] from Operation: 2160/40=54
Current State: 23:[31, 54], Operations: ['30*72=2160', '2160/40=54']
Exploring Operation: 54-31=23, Resulting Numbers: [23]
23,23 equal: Goal Reached
| 4 |
[
19,
75,
62,
76
] | 17 | [
"76/19=4",
"75-62=13",
"4+13=17"
] | Current State: 17:[19, 75, 62, 76], Operations: []
Exploring Operation: 76/19=4, Resulting Numbers: [75, 62, 4]
Generated Node #2: [75, 62, 4] from Operation: 76/19=4
Current State: 17:[75, 62, 4], Operations: ['76/19=4']
Exploring Operation: 75-62=13, Resulting Numbers: [4, 13]
Generated Node #3: [4, 13] from Operation: 75-62=13
Current State: 17:[4, 13], Operations: ['76/19=4', '75-62=13']
Exploring Operation: 4+13=17, Resulting Numbers: [17]
17,17 equal: Goal Reached
| 4 |
[
60,
53,
30,
44
] | 10 | [
"60+30=90",
"53-44=9",
"90/9=10"
] | Current State: 10:[60, 53, 30, 44], Operations: []
Exploring Operation: 60+30=90, Resulting Numbers: [53, 44, 90]
Generated Node #2: [53, 44, 90] from Operation: 60+30=90
Current State: 10:[53, 44, 90], Operations: ['60+30=90']
Exploring Operation: 53-44=9, Resulting Numbers: [90, 9]
Generated Node #3: [90, 9] from Operation: 53-44=9
Current State: 10:[90, 9], Operations: ['60+30=90', '53-44=9']
Exploring Operation: 90/9=10, Resulting Numbers: [10]
10,10 equal: Goal Reached
| 4 |
[
61,
71,
2,
38
] | 66 | [
"71-61=10",
"2*38=76",
"76-10=66"
] | Current State: 66:[61, 71, 2, 38], Operations: []
Exploring Operation: 71-61=10, Resulting Numbers: [2, 38, 10]
Generated Node #2: [2, 38, 10] from Operation: 71-61=10
Current State: 66:[2, 38, 10], Operations: ['71-61=10']
Exploring Operation: 2*38=76, Resulting Numbers: [10, 76]
Generated Node #3: [10, 76] from Operation: 2*38=76
Current State: 66:[10, 76], Operations: ['71-61=10', '2*38=76']
Exploring Operation: 76-10=66, Resulting Numbers: [66]
66,66 equal: Goal Reached
| 4 |
[
12,
73,
17,
92
] | 14 | [
"73-12=61",
"92-17=75",
"75-61=14"
] | Current State: 14:[12, 73, 17, 92], Operations: []
Exploring Operation: 73-12=61, Resulting Numbers: [17, 92, 61]
Generated Node #2: [17, 92, 61] from Operation: 73-12=61
Current State: 14:[17, 92, 61], Operations: ['73-12=61']
Exploring Operation: 92-17=75, Resulting Numbers: [61, 75]
Generated Node #3: [61, 75] from Operation: 92-17=75
Current State: 14:[61, 75], Operations: ['73-12=61', '92-17=75']
Exploring Operation: 75-61=14, Resulting Numbers: [14]
14,14 equal: Goal Reached
| 4 |
[
89,
35,
33,
55
] | 32 | [
"89-35=54",
"55-33=22",
"54-22=32"
] | Current State: 32:[89, 35, 33, 55], Operations: []
Exploring Operation: 89-35=54, Resulting Numbers: [33, 55, 54]
Generated Node #2: [33, 55, 54] from Operation: 89-35=54
Current State: 32:[33, 55, 54], Operations: ['89-35=54']
Exploring Operation: 55-33=22, Resulting Numbers: [54, 22]
Generated Node #3: [54, 22] from Operation: 55-33=22
Current State: 32:[54, 22], Operations: ['89-35=54', '55-33=22']
Exploring Operation: 54-22=32, Resulting Numbers: [32]
32,32 equal: Goal Reached
| 4 |
[
98,
75,
64,
20
] | 89 | [
"98+75=173",
"64+20=84",
"173-84=89"
] | Current State: 89:[98, 75, 64, 20], Operations: []
Exploring Operation: 98+75=173, Resulting Numbers: [64, 20, 173]
Generated Node #2: [64, 20, 173] from Operation: 98+75=173
Current State: 89:[64, 20, 173], Operations: ['98+75=173']
Exploring Operation: 64+20=84, Resulting Numbers: [173, 84]
Generated Node #3: [173, 84] from Operation: 64+20=84
Current State: 89:[173, 84], Operations: ['98+75=173', '64+20=84']
Exploring Operation: 173-84=89, Resulting Numbers: [89]
89,89 equal: Goal Reached
| 4 |
[
4,
72,
13,
75
] | 25 | [
"75-72=3",
"4*3=12",
"13+12=25"
] | Current State: 25:[4, 72, 13, 75], Operations: []
Exploring Operation: 75-72=3, Resulting Numbers: [4, 13, 3]
Generated Node #2: [4, 13, 3] from Operation: 75-72=3
Current State: 25:[4, 13, 3], Operations: ['75-72=3']
Exploring Operation: 4*3=12, Resulting Numbers: [13, 12]
Generated Node #3: [13, 12] from Operation: 4*3=12
Current State: 25:[13, 12], Operations: ['75-72=3', '4*3=12']
Exploring Operation: 13+12=25, Resulting Numbers: [25]
25,25 equal: Goal Reached
| 4 |
[
41,
26,
41,
65
] | 90 | [
"41/41=1",
"26+65=91",
"91-1=90"
] | Current State: 90:[41, 26, 41, 65], Operations: []
Exploring Operation: 41/41=1, Resulting Numbers: [26, 65, 1]
Generated Node #2: [26, 65, 1] from Operation: 41/41=1
Current State: 90:[26, 65, 1], Operations: ['41/41=1']
Exploring Operation: 26+65=91, Resulting Numbers: [1, 91]
Generated Node #3: [1, 91] from Operation: 26+65=91
Current State: 90:[1, 91], Operations: ['41/41=1', '26+65=91']
Exploring Operation: 91-1=90, Resulting Numbers: [90]
90,90 equal: Goal Reached
| 4 |
[
83,
71,
82,
9
] | 85 | [
"83-71=12",
"82-9=73",
"12+73=85"
] | Current State: 85:[83, 71, 82, 9], Operations: []
Exploring Operation: 83-71=12, Resulting Numbers: [82, 9, 12]
Generated Node #2: [82, 9, 12] from Operation: 83-71=12
Current State: 85:[82, 9, 12], Operations: ['83-71=12']
Exploring Operation: 82-9=73, Resulting Numbers: [12, 73]
Generated Node #3: [12, 73] from Operation: 82-9=73
Current State: 85:[12, 73], Operations: ['83-71=12', '82-9=73']
Exploring Operation: 12+73=85, Resulting Numbers: [85]
85,85 equal: Goal Reached
| 4 |
[
7,
2,
25,
3
] | 56 | [
"25-7=18",
"3*18=54",
"2+54=56"
] | Current State: 56:[7, 2, 25, 3], Operations: []
Exploring Operation: 25-7=18, Resulting Numbers: [2, 3, 18]
Generated Node #2: [2, 3, 18] from Operation: 25-7=18
Current State: 56:[2, 3, 18], Operations: ['25-7=18']
Exploring Operation: 3*18=54, Resulting Numbers: [2, 54]
Generated Node #3: [2, 54] from Operation: 3*18=54
Current State: 56:[2, 54], Operations: ['25-7=18', '3*18=54']
Exploring Operation: 2+54=56, Resulting Numbers: [56]
56,56 equal: Goal Reached
| 4 |
[
89,
24,
86,
11
] | 88 | [
"89-86=3",
"24*11=264",
"264/3=88"
] | Current State: 88:[89, 24, 86, 11], Operations: []
Exploring Operation: 89-86=3, Resulting Numbers: [24, 11, 3]
Generated Node #2: [24, 11, 3] from Operation: 89-86=3
Current State: 88:[24, 11, 3], Operations: ['89-86=3']
Exploring Operation: 24*11=264, Resulting Numbers: [3, 264]
Generated Node #3: [3, 264] from Operation: 24*11=264
Current State: 88:[3, 264], Operations: ['89-86=3', '24*11=264']
Exploring Operation: 264/3=88, Resulting Numbers: [88]
88,88 equal: Goal Reached
| 4 |
[
14,
23,
37,
54
] | 95 | [
"14*54=756",
"23*37=851",
"851-756=95"
] | Current State: 95:[14, 23, 37, 54], Operations: []
Exploring Operation: 14*54=756, Resulting Numbers: [23, 37, 756]
Generated Node #2: [23, 37, 756] from Operation: 14*54=756
Current State: 95:[23, 37, 756], Operations: ['14*54=756']
Exploring Operation: 23*37=851, Resulting Numbers: [756, 851]
Generated Node #3: [756, 851] from Operation: 23*37=851
Current State: 95:[756, 851], Operations: ['14*54=756', '23*37=851']
Exploring Operation: 851-756=95, Resulting Numbers: [95]
95,95 equal: Goal Reached
| 4 |
[
51,
4,
96,
68
] | 19 | [
"51-4=47",
"96-68=28",
"47-28=19"
] | Current State: 19:[51, 4, 96, 68], Operations: []
Exploring Operation: 51-4=47, Resulting Numbers: [96, 68, 47]
Generated Node #2: [96, 68, 47] from Operation: 51-4=47
Current State: 19:[96, 68, 47], Operations: ['51-4=47']
Exploring Operation: 96-68=28, Resulting Numbers: [47, 28]
Generated Node #3: [47, 28] from Operation: 96-68=28
Current State: 19:[47, 28], Operations: ['51-4=47', '96-68=28']
Exploring Operation: 47-28=19, Resulting Numbers: [19]
19,19 equal: Goal Reached
| 4 |
[
25,
85,
49,
73
] | 84 | [
"85-25=60",
"73-49=24",
"60+24=84"
] | Current State: 84:[25, 85, 49, 73], Operations: []
Exploring Operation: 85-25=60, Resulting Numbers: [49, 73, 60]
Generated Node #2: [49, 73, 60] from Operation: 85-25=60
Current State: 84:[49, 73, 60], Operations: ['85-25=60']
Exploring Operation: 73-49=24, Resulting Numbers: [60, 24]
Generated Node #3: [60, 24] from Operation: 73-49=24
Current State: 84:[60, 24], Operations: ['85-25=60', '73-49=24']
Exploring Operation: 60+24=84, Resulting Numbers: [84]
84,84 equal: Goal Reached
| 4 |
[
55,
2,
23,
50
] | 64 | [
"55+23=78",
"50+78=128",
"128/2=64"
] | Current State: 64:[55, 2, 23, 50], Operations: []
Exploring Operation: 55+23=78, Resulting Numbers: [2, 50, 78]
Generated Node #2: [2, 50, 78] from Operation: 55+23=78
Current State: 64:[2, 50, 78], Operations: ['55+23=78']
Exploring Operation: 50+78=128, Resulting Numbers: [2, 128]
Generated Node #3: [2, 128] from Operation: 50+78=128
Current State: 64:[2, 128], Operations: ['55+23=78', '50+78=128']
Exploring Operation: 128/2=64, Resulting Numbers: [64]
64,64 equal: Goal Reached
| 4 |
[
75,
12,
46,
66
] | 43 | [
"75-12=63",
"66-46=20",
"63-20=43"
] | Current State: 43:[75, 12, 46, 66], Operations: []
Exploring Operation: 75-12=63, Resulting Numbers: [46, 66, 63]
Generated Node #2: [46, 66, 63] from Operation: 75-12=63
Current State: 43:[46, 66, 63], Operations: ['75-12=63']
Exploring Operation: 66-46=20, Resulting Numbers: [63, 20]
Generated Node #3: [63, 20] from Operation: 66-46=20
Current State: 43:[63, 20], Operations: ['75-12=63', '66-46=20']
Exploring Operation: 63-20=43, Resulting Numbers: [43]
43,43 equal: Goal Reached
| 4 |
[
86,
60,
27,
3
] | 93 | [
"86+27=113",
"60/3=20",
"113-20=93"
] | Current State: 93:[86, 60, 27, 3], Operations: []
Exploring Operation: 86+27=113, Resulting Numbers: [60, 3, 113]
Generated Node #2: [60, 3, 113] from Operation: 86+27=113
Current State: 93:[60, 3, 113], Operations: ['86+27=113']
Exploring Operation: 60/3=20, Resulting Numbers: [113, 20]
Generated Node #3: [113, 20] from Operation: 60/3=20
Current State: 93:[113, 20], Operations: ['86+27=113', '60/3=20']
Exploring Operation: 113-20=93, Resulting Numbers: [93]
93,93 equal: Goal Reached
| 4 |
[
98,
53,
7,
49
] | 67 | [
"98*7=686",
"686/49=14",
"53+14=67"
] | Current State: 67:[98, 53, 7, 49], Operations: []
Exploring Operation: 98*7=686, Resulting Numbers: [53, 49, 686]
Generated Node #2: [53, 49, 686] from Operation: 98*7=686
Current State: 67:[53, 49, 686], Operations: ['98*7=686']
Exploring Operation: 686/49=14, Resulting Numbers: [53, 14]
Generated Node #3: [53, 14] from Operation: 686/49=14
Current State: 67:[53, 14], Operations: ['98*7=686', '686/49=14']
Exploring Operation: 53+14=67, Resulting Numbers: [67]
67,67 equal: Goal Reached
| 4 |
[
90,
5,
47,
45
] | 36 | [
"90/5=18",
"47-45=2",
"18*2=36"
] | Current State: 36:[90, 5, 47, 45], Operations: []
Exploring Operation: 90/5=18, Resulting Numbers: [47, 45, 18]
Generated Node #2: [47, 45, 18] from Operation: 90/5=18
Current State: 36:[47, 45, 18], Operations: ['90/5=18']
Exploring Operation: 47-45=2, Resulting Numbers: [18, 2]
Generated Node #3: [18, 2] from Operation: 47-45=2
Current State: 36:[18, 2], Operations: ['90/5=18', '47-45=2']
Exploring Operation: 18*2=36, Resulting Numbers: [36]
36,36 equal: Goal Reached
| 4 |
[
2,
53,
51,
63
] | 46 | [
"63-53=10",
"10/2=5",
"51-5=46"
] | Current State: 46:[2, 53, 51, 63], Operations: []
Exploring Operation: 63-53=10, Resulting Numbers: [2, 51, 10]
Generated Node #2: [2, 51, 10] from Operation: 63-53=10
Current State: 46:[2, 51, 10], Operations: ['63-53=10']
Exploring Operation: 10/2=5, Resulting Numbers: [51, 5]
Generated Node #3: [51, 5] from Operation: 10/2=5
Current State: 46:[51, 5], Operations: ['63-53=10', '10/2=5']
Exploring Operation: 51-5=46, Resulting Numbers: [46]
46,46 equal: Goal Reached
| 4 |
[
34,
60,
38,
95
] | 83 | [
"60-34=26",
"95-38=57",
"26+57=83"
] | Current State: 83:[34, 60, 38, 95], Operations: []
Exploring Operation: 60-34=26, Resulting Numbers: [38, 95, 26]
Generated Node #2: [38, 95, 26] from Operation: 60-34=26
Current State: 83:[38, 95, 26], Operations: ['60-34=26']
Exploring Operation: 95-38=57, Resulting Numbers: [26, 57]
Generated Node #3: [26, 57] from Operation: 95-38=57
Current State: 83:[26, 57], Operations: ['60-34=26', '95-38=57']
Exploring Operation: 26+57=83, Resulting Numbers: [83]
83,83 equal: Goal Reached
| 4 |
[
46,
83,
72,
41
] | 76 | [
"83-46=37",
"72+41=113",
"113-37=76"
] | Current State: 76:[46, 83, 72, 41], Operations: []
Exploring Operation: 83-46=37, Resulting Numbers: [72, 41, 37]
Generated Node #2: [72, 41, 37] from Operation: 83-46=37
Current State: 76:[72, 41, 37], Operations: ['83-46=37']
Exploring Operation: 72+41=113, Resulting Numbers: [37, 113]
Generated Node #3: [37, 113] from Operation: 72+41=113
Current State: 76:[37, 113], Operations: ['83-46=37', '72+41=113']
Exploring Operation: 113-37=76, Resulting Numbers: [76]
76,76 equal: Goal Reached
| 4 |
[
96,
8,
93,
74
] | 22 | [
"96-93=3",
"74-8=66",
"66/3=22"
] | Current State: 22:[96, 8, 93, 74], Operations: []
Exploring Operation: 96-93=3, Resulting Numbers: [8, 74, 3]
Generated Node #2: [8, 74, 3] from Operation: 96-93=3
Current State: 22:[8, 74, 3], Operations: ['96-93=3']
Exploring Operation: 74-8=66, Resulting Numbers: [3, 66]
Generated Node #3: [3, 66] from Operation: 74-8=66
Current State: 22:[3, 66], Operations: ['96-93=3', '74-8=66']
Exploring Operation: 66/3=22, Resulting Numbers: [22]
22,22 equal: Goal Reached
| 4 |
[
14,
36,
19,
38
] | 47 | [
"38-36=2",
"14*2=28",
"19+28=47"
] | Current State: 47:[14, 36, 19, 38], Operations: []
Exploring Operation: 38-36=2, Resulting Numbers: [14, 19, 2]
Generated Node #2: [14, 19, 2] from Operation: 38-36=2
Current State: 47:[14, 19, 2], Operations: ['38-36=2']
Exploring Operation: 14*2=28, Resulting Numbers: [19, 28]
Generated Node #3: [19, 28] from Operation: 14*2=28
Current State: 47:[19, 28], Operations: ['38-36=2', '14*2=28']
Exploring Operation: 19+28=47, Resulting Numbers: [47]
47,47 equal: Goal Reached
| 4 |
[
18,
62,
16,
32
] | 82 | [
"18+62=80",
"32/16=2",
"80+2=82"
] | Current State: 82:[18, 62, 16, 32], Operations: []
Exploring Operation: 18+62=80, Resulting Numbers: [16, 32, 80]
Generated Node #2: [16, 32, 80] from Operation: 18+62=80
Current State: 82:[16, 32, 80], Operations: ['18+62=80']
Exploring Operation: 32/16=2, Resulting Numbers: [80, 2]
Generated Node #3: [80, 2] from Operation: 32/16=2
Current State: 82:[80, 2], Operations: ['18+62=80', '32/16=2']
Exploring Operation: 80+2=82, Resulting Numbers: [82]
82,82 equal: Goal Reached
| 4 |
[
21,
14,
90,
34
] | 26 | [
"14*90=1260",
"1260/21=60",
"60-34=26"
] | Current State: 26:[21, 14, 90, 34], Operations: []
Exploring Operation: 14*90=1260, Resulting Numbers: [21, 34, 1260]
Generated Node #2: [21, 34, 1260] from Operation: 14*90=1260
Current State: 26:[21, 34, 1260], Operations: ['14*90=1260']
Exploring Operation: 1260/21=60, Resulting Numbers: [34, 60]
Generated Node #3: [34, 60] from Operation: 1260/21=60
Current State: 26:[34, 60], Operations: ['14*90=1260', '1260/21=60']
Exploring Operation: 60-34=26, Resulting Numbers: [26]
26,26 equal: Goal Reached
| 4 |
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