numbers
sequencelengths 4
4
| solutions
sequencelengths 1
11
| solvable
bool 1
class | amt
float64 4.36
212
| solved_rate
float64 0.2
1
| mean_time
float64 4.63
41.1
| std_time
float64 1.25
23
|
---|---|---|---|---|---|---|
[
1,
2,
7,
11
] | [
"7×2+11-1"
] | true | 10.7 | 0.882 | 10.89 | 4.83 |
[
1,
2,
7,
12
] | [
"(7-1)×2+12"
] | true | 12.06 | 0.771 | 10.21 | 5.89 |
[
1,
2,
8,
8
] | [
"(8×2+8)×1",
"(8/2-1)×8"
] | true | 6.45 | 0.962 | 7.02 | 2.73 |
[
1,
2,
8,
9
] | [
"9×8/(2+1)",
"8×2+9-1",
"(9-1)×2+8"
] | true | 8.39 | 0.935 | 8.98 | 3.48 |
[
1,
2,
8,
10
] | [
"(8-1)×2+10"
] | true | 21.92 | 0.674 | 15.76 | 8.19 |
[
1,
2,
8,
13
] | [
"13+8+2+1"
] | true | 10.44 | 0.916 | 10.66 | 4.77 |
[
1,
2,
9,
11
] | [
"(2+1)×11-9"
] | true | 48.09 | 0.448 | 23.76 | 13.21 |
[
1,
2,
9,
12
] | [
"12+9+2+1"
] | true | 7.85 | 0.927 | 8.43 | 3.84 |
[
1,
2,
9,
13
] | [
"(13+9+2)×1"
] | true | 8.86 | 0.932 | 9.42 | 4.19 |
[
1,
2,
10,
11
] | [
"11+10+2+1"
] | true | 6.35 | 0.976 | 6.71 | 2.4 |
[
1,
2,
10,
12
] | [
"(12+10+2)×1"
] | true | 6.06 | 0.974 | 6.57 | 2.4 |
[
1,
2,
10,
13
] | [
"13+10+2-1"
] | true | 6.69 | 0.971 | 7.2 | 2.74 |
[
1,
2,
11,
11
] | [
"(11+11+2)×1"
] | true | 5.97 | 0.975 | 6.46 | 2.42 |
[
1,
2,
11,
12
] | [
"12+11+2-1",
"2/(1-11/12)"
] | true | 7.08 | 0.969 | 7.75 | 3.19 |
[
1,
2,
11,
13
] | [
"(13+11)×(2-1)"
] | true | 6.92 | 0.935 | 7.54 | 3.16 |
[
1,
2,
12,
12
] | [
"(2+1)×12-12",
"(12+12)×(2-1)"
] | true | 6.39 | 0.961 | 6.73 | 2.22 |
[
1,
2,
12,
13
] | [
"13+12+1-2",
"2/(13/12-1)"
] | true | 7.76 | 0.963 | 8.5 | 3.45 |
[
1,
2,
13,
13
] | [
"(13+13-2)×1"
] | true | 6.25 | 0.973 | 6.96 | 2.69 |
[
1,
3,
3,
3
] | [
"(3+3)×(3+1)",
"(3×3-1)×3"
] | true | 6.76 | 0.956 | 7.15 | 2.54 |
[
1,
3,
3,
4
] | [
"(4+3+1)×3",
"(3-1)×4×3",
"(3+3)×4×1"
] | true | 5.62 | 0.976 | 5.87 | 1.77 |
[
1,
3,
3,
5
] | [
"(5+3)×3×1",
"(3+3)×(5-1)"
] | true | 6.6 | 0.952 | 6.91 | 2.52 |
[
1,
3,
3,
6
] | [
"(6+3-1)×3",
"(6+1)×3+3"
] | true | 12.17 | 0.872 | 12.15 | 5.28 |
[
1,
3,
3,
7
] | [
"(7×3+3)×1"
] | true | 6.55 | 0.96 | 7.38 | 3.34 |
[
1,
3,
3,
8
] | [
"(8+1)×3-3",
"(8-1)×3+3"
] | true | 19.73 | 0.739 | 16.08 | 7.88 |
[
1,
3,
3,
9
] | [
"(9-3)×(3+1)",
"(9+3)×(3-1)",
"(3-1/3)×9",
"(9×3-3)×1"
] | true | 6.65 | 0.968 | 7.28 | 2.87 |
[
1,
3,
3,
10
] | [
"(10+1-3)×3",
"(10-1)×3-3"
] | true | 9.05 | 0.901 | 9.22 | 4.14 |
[
1,
3,
3,
11
] | [
"(11-3)×3×1"
] | true | 10.18 | 0.883 | 10.19 | 4.75 |
[
1,
3,
3,
12
] | [
"(3+1)×3+12",
"(12-3-1)×3",
"(3/3+1)×12"
] | true | 5.99 | 0.954 | 6.39 | 2.35 |
[
1,
3,
4,
4
] | [
"(4+4)×3×1",
"(4+3-1)×4"
] | true | 6.96 | 0.934 | 7.31 | 3.12 |
[
1,
3,
4,
5
] | [
"5×4+3+1",
"(3+1)×5+4",
"(5+4-1)×3",
"(5+3)×(4-1)"
] | true | 7.26 | 0.975 | 7.75 | 2.49 |
[
1,
3,
4,
6
] | [
"6/(1-3/4)"
] | true | 209.67 | 0.268 | 20.65 | 13.17 |
[
1,
3,
4,
7
] | [
"7×4-3-1",
"(3+1)×7-4",
"7×3+4-1",
"(4-1)×7+3"
] | true | 8.9 | 0.951 | 9.73 | 3.97 |
[
1,
3,
4,
8
] | [
"(3+1)×4+8",
"(8+1-3)×4",
"(8+4)×(3-1)",
"8/(4/3-1)"
] | true | 11.73 | 0.896 | 11.94 | 4.83 |
[
1,
3,
4,
9
] | [
"(4+1)×3+9",
"(9-3)×4×1",
"9×3+1-4",
"(4-1)×9-3"
] | true | 8.4 | 0.946 | 8.94 | 3.86 |
[
1,
3,
4,
10
] | [
"(10-4)×(3+1)",
"(10-3-1)×4",
"(3-1)×10+4"
] | true | 8.65 | 0.931 | 8.96 | 3.43 |
[
1,
3,
4,
11
] | [
"(11+1-4)×3",
"(11-3)×(4-1)",
"4×3+11+1"
] | true | 7.24 | 0.96 | 7.77 | 2.95 |
[
1,
3,
4,
12
] | [
"(12-4)×3×1",
"(4+1-3)×12",
"12×4/(3-1)",
"(4×3+12)×1"
] | true | 5.57 | 0.986 | 5.99 | 1.95 |
[
1,
3,
4,
13
] | [
"(13-4-1)×3",
"4×3+13-1"
] | true | 8.31 | 0.944 | 8.87 | 3.71 |
[
1,
3,
5,
6
] | [
"6×3+5+1",
"(5+1)×3+6"
] | true | 14.96 | 0.866 | 14.63 | 6.03 |
[
1,
3,
5,
7
] | [
"(7+5)×(3-1)",
"(5+1)×(7-3)"
] | true | 9.32 | 0.895 | 9.53 | 4.12 |
[
1,
3,
5,
8
] | [
"(5+1-3)×8",
"5×3+8+1",
"(8-3)×5-1"
] | true | 6.59 | 0.953 | 7.28 | 2.99 |
[
1,
3,
5,
9
] | [
"(9-3)×(5-1)",
"(5×3+9)×1",
"(5/3+1)×9"
] | true | 10.47 | 0.907 | 10.72 | 4.59 |
[
1,
3,
5,
10
] | [
"10×3-5-1",
"5×3+10-1"
] | true | 9.18 | 0.932 | 9.66 | 3.84 |
[
1,
3,
5,
11
] | [
"(11-5)×(3+1)",
"(11+1)×(5-3)"
] | true | 7.78 | 0.93 | 8.12 | 2.87 |
[
1,
3,
5,
12
] | [
"(5+1)×12/3",
"(12+1-5)×3",
"(5-1)×3+12",
"(5-3)×12×1"
] | true | 5.49 | 0.966 | 5.89 | 2.14 |
[
1,
3,
5,
13
] | [
"(13-5)×3×1",
"(13-1)×(5-3)"
] | true | 7.02 | 0.944 | 7.44 | 2.72 |
[
1,
3,
6,
6
] | [
"(6+1-3)×6",
"(6+6)×(3-1)",
"(6×3+6)×1"
] | true | 6.5 | 0.973 | 7 | 2.62 |
[
1,
3,
6,
7
] | [
"(7-3)×6×1",
"(7+1)×(6-3)",
"6×3+7-1",
"(7-1)×3+6"
] | true | 6.98 | 0.963 | 7.38 | 2.79 |
[
1,
3,
6,
8
] | [
"(8-3-1)×6",
"8×6/(3-1)",
"(6-3)×8×1",
"(6/3+1)×8"
] | true | 6.01 | 0.958 | 6.45 | 2.55 |
[
1,
3,
6,
9
] | [
"(3-1)×9+6",
"(6-1)×3+9",
"(9+1)×3-6",
"(9-1)×(6-3)",
"(9/3+1)×6"
] | true | 8.18 | 0.928 | 8.67 | 3.35 |
[
1,
3,
6,
10
] | [
"(10×3-6)×1"
] | true | 14.21 | 0.82 | 12.61 | 7.01 |
[
1,
3,
6,
11
] | [
"(11+1)×6/3",
"(11-1)×3-6"
] | true | 10.7 | 0.882 | 10.63 | 4.33 |
[
1,
3,
6,
12
] | [
"(12-6)×(3+1)",
"(6-3-1)×12",
"12×6×1/3",
"(3-1)×6+12",
"12/(1-3/6)"
] | true | 5.92 | 0.968 | 6.33 | 2.22 |
[
1,
3,
6,
13
] | [
"(13+1-6)×3",
"(13-1)×6/3"
] | true | 8.22 | 0.921 | 8.49 | 3.18 |
[
1,
3,
7,
7
] | [
"(7-1)×(7-3)"
] | true | 12.01 | 0.853 | 11.74 | 4.81 |
[
1,
3,
7,
8
] | [
"(7-3-1)×8",
"3/(1-7/8)"
] | true | 7.4 | 0.894 | 7.65 | 3.61 |
[
1,
3,
7,
9
] | [
"(7+1)×9/3"
] | true | 14.55 | 0.802 | 13.05 | 5.69 |
[
1,
3,
7,
10
] | [
"(3-1)×7+10",
"10×3+1-7"
] | true | 11.36 | 0.863 | 11.38 | 5.4 |
[
1,
3,
7,
12
] | [
"(7-1)×12/3"
] | true | 11.8 | 0.856 | 11.25 | 5.09 |
[
1,
3,
7,
13
] | [
"13+7+3+1",
"(13-7)×(3+1)"
] | true | 7.11 | 0.969 | 7.5 | 2.64 |
[
1,
3,
8,
8
] | [
"(3+1)×8-8",
"(3-1)×8+8",
"(8+1)×8/3"
] | true | 9.06 | 0.867 | 9.24 | 4.54 |
[
1,
3,
8,
9
] | [
"9×8×1/3",
"3/(9/8-1)"
] | true | 6.44 | 0.922 | 7.03 | 3.37 |
[
1,
3,
8,
10
] | [
"(10-1)×8/3"
] | true | 16.72 | 0.709 | 12.77 | 6.81 |
[
1,
3,
8,
11
] | [
"11×3-8-1"
] | true | 20.99 | 0.735 | 17.35 | 8.43 |
[
1,
3,
8,
12
] | [
"12+8+3+1",
"12×8/(3+1)",
"(12/3-1)×8"
] | true | 7.72 | 0.967 | 8.22 | 2.9 |
[
1,
3,
8,
13
] | [
"(13+8+3)×1"
] | true | 10.99 | 0.905 | 11.34 | 5.11 |
[
1,
3,
9,
9
] | [
"(9-1)×9/3"
] | true | 10.78 | 0.848 | 10.33 | 4.14 |
[
1,
3,
9,
10
] | [
"(10+1)×3-9"
] | true | 57.74 | 0.411 | 24.03 | 13.23 |
[
1,
3,
9,
11
] | [
"11+9+3+1",
"(11×3-9)×1",
"(11/3-1)×9"
] | true | 7.19 | 0.951 | 7.69 | 3.09 |
[
1,
3,
9,
12
] | [
"(3+1)×9-12",
"(12-1)×3-9",
"(12+9+3)×1",
"(9/3-1)×12"
] | true | 6.14 | 0.965 | 6.57 | 2.41 |
[
1,
3,
9,
13
] | [
"13+9+3-1"
] | true | 8.79 | 0.939 | 9.42 | 4.17 |
[
1,
3,
10,
10
] | [
"10+10+3+1"
] | true | 5.59 | 0.975 | 5.92 | 2.01 |
[
1,
3,
10,
11
] | [
"11×3+1-10",
"(11+10+3)×1"
] | true | 7.05 | 0.963 | 7.7 | 3.16 |
[
1,
3,
10,
12
] | [
"12+10+3-1"
] | true | 7.13 | 0.965 | 7.6 | 2.74 |
[
1,
3,
11,
11
] | [
"11+11+3-1"
] | true | 6.29 | 0.972 | 6.7 | 2.44 |
[
1,
3,
11,
12
] | [
"12×3-11-1",
"(11+1)×3-12"
] | true | 17.35 | 0.758 | 14.86 | 7.55 |
[
1,
3,
12,
12
] | [
"(12×3-12)×1"
] | true | 8.47 | 0.855 | 8.74 | 4.78 |
[
1,
3,
12,
13
] | [
"12×3+1-13",
"(13-1)×3-12"
] | true | 16.76 | 0.755 | 14.14 | 7.16 |
[
1,
3,
13,
13
] | [
"13+13+1-3"
] | true | 6.7 | 0.972 | 7.22 | 2.65 |
[
1,
4,
4,
4
] | [
"(4+1)×4+4",
"(4+4)×(4-1)"
] | true | 7.63 | 0.959 | 8.1 | 2.98 |
[
1,
4,
4,
5
] | [
"(5×4+4)×1"
] | true | 6.41 | 0.967 | 6.97 | 2.74 |
[
1,
4,
4,
6
] | [
"(6+1)×4-4",
"(6-1)×4+4"
] | true | 15.95 | 0.797 | 13.98 | 6.92 |
[
1,
4,
4,
7
] | [
"4×4+7+1",
"(7×4-4)×1"
] | true | 6.66 | 0.962 | 7.37 | 3.22 |
[
1,
4,
4,
8
] | [
"(8-1)×4-4",
"(4×4+8)×1"
] | true | 10.58 | 0.899 | 10.77 | 5.54 |
[
1,
4,
4,
9
] | [
"(9+1-4)×4",
"4×4+9-1"
] | true | 8.1 | 0.942 | 8.59 | 3.56 |
[
1,
4,
4,
10
] | [
"(10-4)×4×1"
] | true | 7.92 | 0.923 | 8.15 | 3.46 |
[
1,
4,
4,
11
] | [
"(11-4-1)×4"
] | true | 10.89 | 0.865 | 10.85 | 5.36 |
[
1,
4,
4,
12
] | [
"(12-4)×(4-1)",
"(4-1)×4+12",
"(4/4+1)×12"
] | true | 5.84 | 0.958 | 6.33 | 2.33 |
[
1,
4,
5,
5
] | [
"5×4+5-1",
"(5-1)×5+4"
] | true | 7.59 | 0.959 | 8.09 | 2.79 |
[
1,
4,
5,
6
] | [
"6/(5/4-1)",
"4/(1-5/6)"
] | true | 193.11 | 0.287 | 19.49 | 12.95 |
[
1,
4,
5,
7
] | [
"7×4+1-5",
"(5-1)×7-4"
] | true | 12.8 | 0.879 | 12.72 | 5.32 |
[
1,
4,
5,
8
] | [
"(5+1)×(8-4)",
"(5-1)×4+8"
] | true | 13.77 | 0.823 | 12.93 | 5.94 |
[
1,
4,
5,
9
] | [
"(4-1)×5+9",
"(9-4)×5-1"
] | true | 13.19 | 0.822 | 12.34 | 6.76 |
[
1,
4,
5,
10
] | [
"(10+1-5)×4",
"(10-4)×(5-1)"
] | true | 8.97 | 0.914 | 9.16 | 3.67 |
[
1,
4,
5,
11
] | [
"(11-5)×4×1"
] | true | 8.35 | 0.907 | 8.63 | 4 |
[
1,
4,
5,
12
] | [
"(5+1-4)×12",
"(12-5-1)×4"
] | true | 5.96 | 0.957 | 6.4 | 2.36 |
[
1,
4,
5,
13
] | [
"(13-5)×(4-1)"
] | true | 10.38 | 0.88 | 10.57 | 4.63 |
[
1,
4,
6,
6
] | [
"(4+1)×6-6",
"(4-1)×6+6"
] | true | 13.53 | 0.802 | 12.21 | 6.51 |
[
1,
4,
6,
7
] | [
"(7+1-4)×6",
"4/(7/6-1)"
] | true | 8.83 | 0.872 | 9.07 | 4.68 |
[
1,
4,
6,
8
] | [
"(6+1-4)×8",
"(8-4)×6×1",
"8/(1-4/6)"
] | true | 6.3 | 0.949 | 6.68 | 2.56 |