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,
4,
6,
9
] | [
"(9-4-1)×6"
] | true | 9.05 | 0.862 | 9 | 4.15 |
[
1,
4,
6,
10
] | [
"(4-1)×10-6"
] | true | 33.87 | 0.556 | 20.04 | 10.17 |
[
1,
4,
6,
11
] | [
"(11+1-6)×4",
"(11+1)×(6-4)"
] | true | 7.96 | 0.926 | 8.29 | 3.24 |
[
1,
4,
6,
12
] | [
"(12-6)×4×1",
"12×6/(4-1)",
"(6-4)×12×1",
"12/(6/4-1)",
"(12/4+1)×6"
] | true | 5.93 | 0.968 | 6.41 | 2.54 |
[
1,
4,
6,
13
] | [
"13+6+4+1",
"(13-6-1)×4",
"(13-1)×(6-4)"
] | true | 6.58 | 0.977 | 7 | 2.35 |
[
1,
4,
7,
7
] | [
"(7+1)×(7-4)"
] | true | 11.67 | 0.853 | 11.52 | 4.79 |
[
1,
4,
7,
8
] | [
"8×4-7-1",
"(7+1)×4-8",
"(7-1)×(8-4)",
"(7-4)×8×1"
] | true | 6.25 | 0.966 | 6.78 | 2.73 |
[
1,
4,
7,
9
] | [
"(9-1)×(7-4)"
] | true | 12.9 | 0.819 | 12.06 | 5.16 |
[
1,
4,
7,
11
] | [
"(4+1)×7-11"
] | true | 74.51 | 0.36 | 31.17 | 17.26 |
[
1,
4,
7,
12
] | [
"12+7+4+1",
"(7-4-1)×12",
"(7+1)×12/4",
"(12+1-7)×4"
] | true | 5.59 | 0.984 | 6.01 | 2.04 |
[
1,
4,
7,
13
] | [
"(13-7)×4×1",
"(13+7+4)×1"
] | true | 6.64 | 0.967 | 7.28 | 2.93 |
[
1,
4,
8,
8
] | [
"(8-4-1)×8",
"(8×4-8)×1",
"(8/4+1)×8"
] | true | 6.31 | 0.967 | 6.81 | 2.51 |
[
1,
4,
8,
9
] | [
"9×8/(4-1)",
"8×4+1-9",
"(9-1)×4-8"
] | true | 12.08 | 0.89 | 12.17 | 5.22 |
[
1,
4,
8,
11
] | [
"11+8+4+1",
"(11+1)×8/4"
] | true | 7.89 | 0.957 | 8.34 | 2.9 |
[
1,
4,
8,
12
] | [
"12×8×1/4",
"(8+1)×4-12",
"(12+8+4)×1",
"12/(1-4/8)"
] | true | 5.92 | 0.976 | 6.31 | 2.2 |
[
1,
4,
8,
13
] | [
"13+8+4-1",
"(13+1-8)×4",
"(13-1)×8/4"
] | true | 6.81 | 0.974 | 7.2 | 2.49 |
[
1,
4,
9,
10
] | [
"10+9+4+1"
] | true | 8.66 | 0.937 | 9.08 | 3.72 |
[
1,
4,
9,
11
] | [
"(4-1)×11-9",
"9×4-11-1",
"(11+9+4)×1"
] | true | 8.3 | 0.944 | 8.93 | 3.73 |
[
1,
4,
9,
12
] | [
"12+9+4-1",
"(9-1)×12/4",
"(9×4-12)×1"
] | true | 7.89 | 0.961 | 8.51 | 3.35 |
[
1,
4,
9,
13
] | [
"9×4+1-13"
] | true | 28.97 | 0.61 | 19.64 | 10.47 |
[
1,
4,
10,
10
] | [
"(10+10+4)×1",
"10×10/4-1"
] | true | 5.49 | 0.979 | 5.9 | 2.07 |
[
1,
4,
10,
11
] | [
"11+10+4-1"
] | true | 7.76 | 0.95 | 8.24 | 3.22 |
[
1,
4,
10,
12
] | [
"12×10/(4+1)",
"(10-1)×4-12",
"4/(1-10/12)"
] | true | 17.15 | 0.721 | 13.15 | 6.88 |
[
1,
4,
12,
12
] | [
"(4-1)×12-12",
"(12/4-1)×12"
] | true | 6.44 | 0.913 | 6.7 | 2.58 |
[
1,
5,
5,
5
] | [
"(5-1/5)×5"
] | true | 47.66 | 0.434 | 12.55 | 7.76 |
[
1,
5,
5,
6
] | [
"6×5-5-1",
"(5+1)×5-6"
] | true | 7.6 | 0.951 | 8.16 | 3.15 |
[
1,
5,
5,
9
] | [
"(5+1)×(9-5)"
] | true | 9.05 | 0.886 | 9.18 | 3.72 |
[
1,
5,
5,
10
] | [
"(10-5)×5-1"
] | true | 16.87 | 0.708 | 12.39 | 7.4 |
[
1,
5,
5,
11
] | [
"(11-5)×(5-1)"
] | true | 9.97 | 0.877 | 10.09 | 4.23 |
[
1,
5,
5,
12
] | [
"(5/5+1)×12"
] | true | 6.22 | 0.901 | 6.42 | 2.38 |
[
1,
5,
5,
13
] | [
"13+5+5+1"
] | true | 8.31 | 0.93 | 8.49 | 3.27 |
[
1,
5,
6,
6
] | [
"(6×5-6)×1"
] | true | 6.87 | 0.938 | 7.57 | 3.48 |
[
1,
5,
6,
7
] | [
"6×5+1-7",
"(7-1)×5-6"
] | true | 11.45 | 0.892 | 11.71 | 4.74 |
[
1,
5,
6,
8
] | [
"(8+1-5)×6"
] | true | 9.12 | 0.905 | 9.26 | 3.93 |
[
1,
5,
6,
9
] | [
"(9-5)×6×1"
] | true | 7.22 | 0.922 | 7.71 | 3.55 |
[
1,
5,
6,
10
] | [
"(5+1)×(10-6)",
"(10-5-1)×6"
] | true | 7.95 | 0.917 | 8.25 | 3.27 |
[
1,
5,
6,
11
] | [
"(6+1)×5-11",
"(11-6)×5-1"
] | true | 13.69 | 0.807 | 12.41 | 6.7 |
[
1,
5,
6,
12
] | [
"12+6+5+1",
"(5+1)×6-12",
"(6+1-5)×12",
"(12-6)×(5-1)"
] | true | 5.77 | 0.986 | 6.15 | 2.04 |
[
1,
5,
6,
13
] | [
"(13+6+5)×1"
] | true | 10.01 | 0.905 | 10.37 | 4.8 |
[
1,
5,
7,
8
] | [
"(7+1-5)×8",
"(7+1)×(8-5)"
] | true | 6.45 | 0.949 | 6.84 | 2.49 |
[
1,
5,
7,
9
] | [
"(7-1)×(9-5)"
] | true | 11.81 | 0.848 | 11.34 | 4.97 |
[
1,
5,
7,
10
] | [
"7×5-10-1",
"(7/5+1)×10"
] | true | 20.8 | 0.697 | 16.68 | 7.9 |
[
1,
5,
7,
11
] | [
"11+7+5+1",
"(5+1)×(11-7)",
"(11+1)×(7-5)",
"(7×5-11)×1"
] | true | 6 | 0.986 | 6.49 | 2.17 |
[
1,
5,
7,
12
] | [
"(7-5)×12×1",
"7×5+1-12",
"(12+7+5)×1",
"(12-7)×5-1"
] | true | 5.35 | 0.983 | 5.89 | 2.1 |
[
1,
5,
7,
13
] | [
"13+7+5-1",
"(13-7)×(5-1)",
"(13-1)×(7-5)"
] | true | 6.2 | 0.979 | 6.59 | 2.12 |
[
1,
5,
8,
8
] | [
"(5-1)×8-8",
"(8-5)×8×1"
] | true | 5.87 | 0.95 | 6.43 | 2.66 |
[
1,
5,
8,
9
] | [
"(9-5-1)×8",
"(9-1)×(8-5)",
"9/(1-5/8)"
] | true | 6.43 | 0.943 | 6.92 | 2.73 |
[
1,
5,
8,
10
] | [
"10+8+5+1",
"(10/5+1)×8"
] | true | 6.7 | 0.965 | 7.2 | 2.57 |
[
1,
5,
8,
11
] | [
"(8-1)×5-11",
"(11+8+5)×1"
] | true | 12.26 | 0.894 | 12.59 | 5.57 |
[
1,
5,
8,
12
] | [
"(5+1)×(12-8)",
"(8-5-1)×12",
"12+8+5-1",
"12×8/(5-1)"
] | true | 6.05 | 0.983 | 6.5 | 2.2 |
[
1,
5,
8,
13
] | [
"(13-8)×5-1"
] | true | 13.27 | 0.801 | 11.92 | 6.1 |
[
1,
5,
9,
9
] | [
"9+9+5+1"
] | true | 7.41 | 0.944 | 7.9 | 3.23 |
[
1,
5,
9,
10
] | [
"(10+9+5)×1"
] | true | 8.35 | 0.931 | 8.83 | 3.87 |
[
1,
5,
9,
11
] | [
"11+9+5-1"
] | true | 9.14 | 0.933 | 9.63 | 3.92 |
[
1,
5,
9,
12
] | [
"(5-1)×9-12",
"(9+1)×12/5"
] | true | 24.56 | 0.627 | 14.7 | 9.06 |
[
1,
5,
9,
13
] | [
"(5+1)×(13-9)"
] | true | 10.53 | 0.848 | 10.39 | 4.89 |
[
1,
5,
10,
10
] | [
"10+10+5-1"
] | true | 6.28 | 0.974 | 6.68 | 2.3 |
[
1,
5,
10,
11
] | [
"(11+1)×10/5"
] | true | 10.29 | 0.864 | 10.1 | 3.74 |
[
1,
5,
10,
12
] | [
"12×10×1/5",
"12/(1-5/10)"
] | true | 6.62 | 0.922 | 7.05 | 3.06 |
[
1,
5,
10,
13
] | [
"(13-1)×10/5"
] | true | 9.37 | 0.888 | 9.36 | 3.49 |
[
1,
5,
11,
11
] | [
"(11×11-1)/5"
] | true | 42.99 | 0.436 | 17.17 | 10.45 |
[
1,
5,
11,
12
] | [
"(11-1)×12/5"
] | true | 15.54 | 0.712 | 11.75 | 6.26 |
[
1,
5,
12,
12
] | [
"12×12/(5+1)"
] | true | 11.41 | 0.807 | 10.49 | 5.02 |
[
1,
6,
6,
6
] | [
"(6-1)×6-6"
] | true | 11.03 | 0.858 | 10.51 | 5.12 |
[
1,
6,
6,
8
] | [
"6/(1-6/8)"
] | true | 121.88 | 0.283 | 23.61 | 15.03 |
[
1,
6,
6,
9
] | [
"(9+1-6)×6"
] | true | 7.38 | 0.906 | 7.87 | 3.37 |
[
1,
6,
6,
10
] | [
"(10-6)×6×1"
] | true | 6.94 | 0.936 | 7.29 | 3.12 |
[
1,
6,
6,
11
] | [
"11+6+6+1",
"(11-6-1)×6",
"6×6-11-1"
] | true | 5.75 | 0.983 | 6.23 | 2.24 |
[
1,
6,
6,
12
] | [
"(12+6+6)×1",
"(6×6-12)×1",
"(6/6+1)×12"
] | true | 5.27 | 0.988 | 5.59 | 1.7 |
[
1,
6,
6,
13
] | [
"13+6+6-1",
"6×6+1-13"
] | true | 6.47 | 0.974 | 6.87 | 2.48 |
[
1,
6,
7,
9
] | [
"(7+1)×(9-6)"
] | true | 11.67 | 0.844 | 11.36 | 4.68 |
[
1,
6,
7,
10
] | [
"10+7+6+1",
"(10+1-7)×6",
"(7-1)×(10-6)"
] | true | 6.01 | 0.986 | 6.57 | 2.26 |
[
1,
6,
7,
11
] | [
"(11-7)×6×1",
"(6-1)×7-11",
"(11+7+6)×1"
] | true | 6.56 | 0.973 | 7.16 | 2.88 |
[
1,
6,
7,
12
] | [
"12+7+6-1",
"(7+1-6)×12",
"(12-7-1)×6",
"(7-1)×6-12"
] | true | 5.61 | 0.986 | 6.03 | 2.01 |
[
1,
6,
8,
8
] | [
"(8+1-6)×8",
"8/(8/6-1)"
] | true | 7.08 | 0.932 | 7.41 | 2.98 |
[
1,
6,
8,
9
] | [
"9+8+6+1",
"(9-6)×8×1",
"8/(1-6/9)"
] | true | 6.14 | 0.983 | 6.57 | 2.35 |
[
1,
6,
8,
10
] | [
"(10-6-1)×8",
"(10+8+6)×1",
"6/(10/8-1)"
] | true | 6.65 | 0.973 | 7.09 | 2.43 |
[
1,
6,
8,
11
] | [
"11+8+6-1",
"(11+1-8)×6",
"(11+1)×(8-6)"
] | true | 6.86 | 0.978 | 7.32 | 2.45 |
[
1,
6,
8,
12
] | [
"(12-8)×6×1",
"(8-6)×12×1",
"(12/6+1)×8"
] | true | 5.4 | 0.971 | 5.79 | 2 |
[
1,
6,
8,
13
] | [
"(13-8-1)×6",
"(13-1)×(8-6)"
] | true | 7.34 | 0.945 | 7.79 | 2.87 |
[
1,
6,
9,
9
] | [
"(9-1)×(9-6)",
"(9+9+6)×1"
] | true | 6.5 | 0.975 | 6.94 | 2.51 |
[
1,
6,
9,
10
] | [
"10+9+6-1",
"(10/6+1)×9"
] | true | 9.62 | 0.922 | 9.93 | 3.85 |
[
1,
6,
9,
12
] | [
"(9-6-1)×12",
"(12+1-9)×6",
"12/(9/6-1)",
"6/(1-9/12)"
] | true | 5.71 | 0.957 | 6.08 | 2.11 |
[
1,
6,
9,
13
] | [
"(13-9)×6×1"
] | true | 7.97 | 0.908 | 8.36 | 4.08 |
[
1,
6,
10,
12
] | [
"12×10/(6-1)"
] | true | 21.92 | 0.658 | 14.81 | 8.32 |
[
1,
6,
10,
13
] | [
"(13+1-10)×6"
] | true | 8.64 | 0.882 | 8.87 | 4.22 |
[
1,
6,
11,
12
] | [
"(11+1)×12/6"
] | true | 8.28 | 0.889 | 8.3 | 2.96 |
[
1,
6,
11,
13
] | [
"(13×11+1)/6"
] | true | 55.57 | 0.385 | 19.72 | 10.9 |
[
1,
6,
12,
12
] | [
"12×12×1/6",
"12/(1-6/12)"
] | true | 6.06 | 0.945 | 6.44 | 2.43 |
[
1,
6,
12,
13
] | [
"(13-1)×12/6"
] | true | 8.59 | 0.894 | 8.68 | 3.35 |
[
1,
7,
7,
9
] | [
"9+7+7+1"
] | true | 7.19 | 0.961 | 7.57 | 2.88 |
[
1,
7,
7,
10
] | [
"(7+1)×(10-7)",
"(10+7+7)×1"
] | true | 5.76 | 0.98 | 6.19 | 2.13 |
[
1,
7,
7,
11
] | [
"11+7+7-1",
"(7-1)×(11-7)"
] | true | 6.7 | 0.97 | 7.28 | 2.64 |
[
1,
7,
7,
12
] | [
"(7/7+1)×12"
] | true | 6.17 | 0.89 | 6.31 | 2.35 |
[
1,
7,
8,
8
] | [
"8+8+7+1"
] | true | 6.16 | 0.967 | 6.67 | 2.66 |
[
1,
7,
8,
9
] | [
"(9+1-7)×8",
"(9+8+7)×1"
] | true | 6.02 | 0.972 | 6.46 | 2.29 |
[
1,
7,
8,
10
] | [
"10+8+7-1",
"(10-7)×8×1"
] | true | 6.02 | 0.977 | 6.47 | 2.31 |
[
1,
7,
8,
11
] | [
"(7+1)×(11-8)",
"(11-7-1)×8"
] | true | 7.17 | 0.927 | 7.51 | 3.06 |
[
1,
7,
8,
12
] | [
"(8+1-7)×12",
"(7-1)×(12-8)"
] | true | 6.58 | 0.956 | 7.03 | 2.67 |
[
1,
7,
9,
9
] | [
"9+9+7-1"
] | true | 7.56 | 0.948 | 8.02 | 3.16 |