Datasets:
nlile
/
24-game

Dataset card Data Studio Files
xet
Community
1
numbers
listlengths
4
4
solutions
listlengths
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