Datasets:
nlile
/
24-game

Dataset card Viewer Files Community
1
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
[ 2, 2, 9, 12 ]
[ "(2+2)×9-12", "9×2×2-12", "9×2+12/2" ]
true
17.89
0.729
15.37
6.65
[ 2, 2, 10, 10 ]
[ "10+10+2+2", "2×2+10+10" ]
true
4.81
0.982
5.11
1.61
[ 2, 2, 10, 11 ]
[ "(11×2-10)×2" ]
true
98.41
0.308
26.78
17.49
[ 2, 2, 10, 13 ]
[ "2/2+13+10" ]
true
7.17
0.9
7.38
3.11
[ 2, 2, 11, 11 ]
[ "(2/11+2)×11" ]
true
63.59
0.396
14.07
9.37
[ 2, 2, 11, 12 ]
[ "2/2+12+11" ]
true
6.12
0.925
6.52
2.55
[ 2, 2, 11, 13 ]
[ "13+11+2-2" ]
true
6.05
0.981
6.62
2.43
[ 2, 2, 12, 12 ]
[ "12+12+2-2", "(12×2-12)×2" ]
true
5.77
0.986
6.27
2.24
[ 2, 2, 12, 13 ]
[ "13+12-2/2" ]
true
7.02
0.926
7.33
2.67
[ 2, 2, 13, 13 ]
[ "(2-2/13)×13" ]
true
68.63
0.368
15.35
9.38
[ 2, 3, 3, 3 ]
[ "(3+3+2)×3", "(3×3+3)×2" ]
true
13.24
0.822
12.17
6.04
[ 2, 3, 3, 5 ]
[ "(5+2)×3+3", "(5×3-3)×2" ]
true
22.25
0.694
16.57
8.96
[ 2, 3, 3, 6 ]
[ "6×3+3×2", "3×3×2+6", "(3+3-2)×6", "(3+3)×(6-2)", "(6+3+3)×2" ]
true
8.07
0.963
8.53
2.96
[ 2, 3, 3, 7 ]
[ "(7-3)×3×2", "(7+3-2)×3", "(7+2)×3-3" ]
true
8.63
0.919
8.99
3.71
[ 2, 3, 3, 8 ]
[ "(3×2-3)×8", "(3-2)×8×3", "(3+3)×8/2", "(3/3+2)×8" ]
true
5.62
0.97
6
1.96
[ 2, 3, 3, 9 ]
[ "(3+2)×3+9", "(9+2-3)×3", "9×2+3+3", "(9-2)×3+3" ]
true
9.43
0.931
9.83
3.78
[ 2, 3, 3, 10 ]
[ "10×3-3×2", "(10/2+3)×3" ]
true
11.58
0.85
11.59
5.02
[ 2, 3, 3, 11 ]
[ "(11-2)×3-3", "(3/3+11)×2" ]
true
7.37
0.897
7.69
3.36
[ 2, 3, 3, 12 ]
[ "12×2+3-3", "(3+3)×2+12" ]
true
5.48
0.986
5.96
2.06
[ 2, 3, 3, 13 ]
[ "(13-3-2)×3", "(13+3)×3/2", "3×3+13+2", "(13-3/3)×2" ]
true
7.17
0.94
7.73
3
[ 2, 3, 4, 4 ]
[ "(3+2)×4+4", "4×4×3/2", "(4-2)×4×3" ]
true
9.43
0.942
9.83
3.62
[ 2, 3, 4, 5 ]
[ "(5+3-2)×4", "(5+4+3)×2" ]
true
11.5
0.844
11.11
5.56
[ 2, 3, 4, 6 ]
[ "(3-2)×6×4", "6×3+4+2", "(4+2)×3+6", "(6-3)×4×2", "(6+4-2)×3", "(4/2+6)×3", "6×2+4×3", "(6×2-4)×3", "(6/2+3)×4" ]
true
6.63
0.978
7.04
2.3
[ 2, 3, 4, 7 ]
[ "(7+2-3)×4", "(4+2)×(7-3)", "(7+3)×2+4" ]
true
11.16
0.867
11.04
4.95
[ 2, 3, 4, 8 ]
[ "(8-4)×3×2", "(4+2-3)×8", "(8/2+4)×3" ]
true
8.12
0.929
8.89
4.11
[ 2, 3, 4, 9 ]
[ "9×4×2/3", "(9+3)×(4-2)", "(9+3)×4/2" ]
true
11.29
0.884
11.35
4.87
[ 2, 3, 4, 10 ]
[ "10×3-4-2", "(10+2-4)×3", "(10-4/2)×3", "4×3+10+2", "(4+3)×2+10" ]
true
10.06
0.919
10.47
4.39
[ 2, 3, 4, 11 ]
[ "(11-3-2)×4", "(11+4-3)×2", "(11+3)×2-4" ]
true
9.35
0.88
9.49
4.23
[ 2, 3, 4, 12 ]
[ "(3×2-4)×12", "(12-3×2)×4", "(12+4)×3/2", "(4+2)×12/3", "(4-3)×12×2", "(12/3+2)×4" ]
true
7.6
0.944
8.1
3.28
[ 2, 3, 4, 13 ]
[ "4×2+13+3", "(13+3-4)×2", "(13-3)×2+4" ]
true
9
0.912
9.39
4.01
[ 2, 3, 5, 5 ]
[ "5×5+2-3", "(5+5-2)×3", "(5+3)×(5-2)" ]
true
7.04
0.962
7.55
2.89
[ 2, 3, 5, 6 ]
[ "6×5-3×2", "5×3×2-6", "(5+2-3)×6", "(5-3)×6×2", "(5+3)×6/2", "(6/2+5)×3" ]
true
7.71
0.954
8.19
3.01
[ 2, 3, 5, 7 ]
[ "7×3+5-2", "(5-2)×7+3", "5×3+7+2" ]
true
11.68
0.892
11.78
4.92
[ 2, 3, 5, 8 ]
[ "8×2+5+3", "(5+3)×2+8", "8/(2-5/3)" ]
true
21.78
0.735
18.5
8.02
[ 2, 3, 5, 9 ]
[ "(9-5)×3×2", "9×3+2-5", "(5-2)×9-3", "(9×5+3)/2" ]
true
8.87
0.922
9.41
4.3
[ 2, 3, 5, 10 ]
[ "(10+2)×(5-3)", "(10+5-3)×2" ]
true
13.48
0.802
12.18
5.42
[ 2, 3, 5, 11 ]
[ "(11+5)×3/2", "5×2+11+3", "(11+2-5)×3", "(11-3)×(5-2)", "11×2+5-3", "5×3+11-2", "(5-3)×11+2" ]
true
8.07
0.949
8.58
3.32
[ 2, 3, 5, 12 ]
[ "12/(3-5/2)" ]
true
211.5
0.204
30.77
22.95
[ 2, 3, 5, 13 ]
[ "3×2+13+5", "13×2+3-5", "(5-3)×13-2" ]
true
12.22
0.858
12.12
5.45
[ 2, 3, 6, 6 ]
[ "(3+2)×6-6", "6×6×2/3", "(6+2)×(6-3)", "(6+3)×2+6", "(6×3-6)×2", "(6/3+2)×6" ]
true
10.81
0.921
11.24
4.42
[ 2, 3, 6, 7 ]
[ "7×6/2+3", "7×3+6/2", "(7×2-6)×3" ]
true
16.66
0.811
15.37
6.84
[ 2, 3, 6, 8 ]
[ "(8+2)×3-6", "6×3+8-2", "(8-2)×3+6" ]
true
23.66
0.753
20.53
8.91
[ 2, 3, 6, 9 ]
[ "(9-3-2)×6", "(6+2)×9/3", "6×2+9+3", "(9-3)×(6-2)", "(3-2/6)×9", "9×6/2-3", "9×3-6/2", "(9+6-3)×2" ]
true
10.29
0.933
10.78
4.23
[ 2, 3, 6, 10 ]
[ "(10-6)×3×2", "(10-3×2)×6", "(10+6)×3/2", "(10+2)×6/3", "(10-2)×(6-3)", "(6/3+10)×2" ]
true
9.25
0.924
9.51
3.82
[ 2, 3, 6, 11 ]
[ "(11-3)×6/2", "(11-6/2)×3", "11×2+6/3", "11×6/3+2" ]
true
9.84
0.901
10.09
4.48
[ 2, 3, 6, 12 ]
[ "3×2+12+6", "6×3×2-12", "12×3/2+6", "12×3-6×2", "(12+2-6)×3", "(6-2)×3+12", "(12-2)×3-6", "6×3+12/2", "(12+3)×2-6", "(12-3)×2+6" ]
true
12.65
0.914
13.08
5.34
[ 2, 3, 6, 13 ]
[ "13+6+3+2", "13×2-6/3", "13×6/3-2" ]
true
10.98
0.898
11.06
4.6
[ 2, 3, 7, 7 ]
[ "7×2+7+3" ]
true
17.36
0.769
15.58
6.71
[ 2, 3, 7, 8 ]
[ "(7+2)×8/3", "(8-2)×(7-3)", "(8+7-3)×2", "8/(7/3-2)" ]
true
14.29
0.805
13.14
5.77
[ 2, 3, 7, 9 ]
[ "(9+7)×3/2", "(7-2)×3+9", "(7×3-9)×2" ]
true
31.21
0.581
18.73
10.41
[ 2, 3, 7, 10 ]
[ "10×2+7-3", "(10×7+2)/3" ]
true
17.64
0.77
15.37
7.02
[ 2, 3, 7, 11 ]
[ "(3+2)×7-11", "3×2+11+7", "(11-7)×3×2", "11×3-7-2" ]
true
8.98
0.922
9.33
4.28
[ 2, 3, 7, 12 ]
[ "12+7+3+2", "(7-3-2)×12", "12/(7/2-3)", "(7-3)×12/2" ]
true
7.47
0.948
7.91
3.06
[ 2, 3, 7, 13 ]
[ "7×2+13-3", "(13+2-7)×3" ]
true
12.18
0.863
11.97
5.41
[ 2, 3, 8, 8 ]
[ "(8-3-2)×8", "(8+8)×3/2", "(8×2-8)×3" ]
true
13.49
0.799
12.26
6.01
[ 2, 3, 8, 9 ]
[ "(9-3×2)×8", "(9-3)×8/2" ]
true
14.34
0.809
13.17
6.4
[ 2, 3, 8, 10 ]
[ "3×2+10+8", "10×3+2-8" ]
true
16.25
0.819
15.39
6.72
[ 2, 3, 8, 11 ]
[ "11+8+3+2", "8×2+11-3", "(11-2)×8/3", "(11-3)×2+8" ]
true
9.59
0.927
10.18
4.06
[ 2, 3, 8, 12 ]
[ "(12-8)×3×2", "(8-3×2)×12", "8×3/2+12", "(8-2)×12/3", "(12-8/2)×3", "(12/2-3)×8", "(8×3-12)×2", "(12/3+8)×2" ]
true
9.41
0.932
9.93
3.89
[ 2, 3, 8, 13 ]
[ "(13+3)×2-8" ]
true
100.37
0.316
24.58
13.57
[ 2, 3, 9, 9 ]
[ "3×2+9+9", "(9+2)×3-9", "9×2+9-3", "(9/3+9)×2" ]
true
9.18
0.91
9.59
4.02
[ 2, 3, 9, 10 ]
[ "10+9+3+2", "10×3/2+9", "(9×2-10)×3", "(10-2)×9/3" ]
true
10.79
0.899
11.02
4.36
[ 2, 3, 9, 12 ]
[ "(9-3)×2+12" ]
true
21.55
0.664
13.76
8.07
[ 2, 3, 9, 13 ]
[ "(13-9)×3×2", "(13-2)×3-9", "(13×3+9)/2" ]
true
10.02
0.877
10.28
5.32
[ 2, 3, 10, 10 ]
[ "(10-3)×2+10" ]
true
19.95
0.687
14.88
7.68
[ 2, 3, 10, 12 ]
[ "12×10/(3+2)", "12×3-10-2", "(10+2)×3-12", "10×2+12/3", "(10×2-12)×3", "(10/2-3)×12", "10×3-12/2" ]
true
11.33
0.867
11.45
4.21
[ 2, 3, 10, 13 ]
[ "13+10+3-2", "(13-10/2)×3" ]
true
8.63
0.936
9.12
3.96
[ 2, 3, 11, 11 ]
[ "11×3+2-11" ]
true
20.49
0.679
15.48
7.87
[ 2, 3, 11, 12 ]
[ "12+11+3-2" ]
true
6.28
0.95
6.85
2.83
[ 2, 3, 11, 13 ]
[ "(13+11)×(3-2)" ]
true
6.6
0.918
7.06
2.91
[ 2, 3, 12, 12 ]
[ "12×12/3/2", "(12+12)×(3-2)", "(12×3+12)/2", "(12/3-2)×12" ]
true
5.58
0.974
5.96
1.97
[ 2, 3, 12, 13 ]
[ "13+12+2-3" ]
true
6.86
0.959
7.36
2.65
[ 2, 3, 13, 13 ]
[ "13×3-13-2" ]
true
28.08
0.587
18.45
9.93
[ 2, 4, 4, 4 ]
[ "4×4+4×2", "(4+4-2)×4", "(4/2+4)×4", "(4+4+4)×2", "(4×4-4)×2" ]
true
8.5
0.947
8.96
3.27
[ 2, 4, 4, 5 ]
[ "(5+2)×4-4", "(5×2-4)×4", "(4+4)×(5-2)" ]
true
12.55
0.818
11.63
5.34
[ 2, 4, 4, 6 ]
[ "(4×2-4)×6", "4×4+6+2", "(4+4)×6/2", "(6+4)×2+4" ]
true
11.54
0.901
11.89
4.82
[ 2, 4, 4, 7 ]
[ "(7-4)×4×2", "(7-2)×4+4" ]
true
9.56
0.894
9.7
4.33
[ 2, 4, 4, 8 ]
[ "(4+2)×(8-4)", "8×4-4×2", "4×4×2-8", "(8+2-4)×4", "(8+4)×(4-2)", "(8+4)×4/2", "(8-4/2)×4", "8×2+4+4", "(4+4)×2+8", "(4/4+2)×8" ]
true
6.89
0.965
7.29
2.67
[ 2, 4, 4, 9 ]
[ "(9-2)×4-4" ]
true
17.19
0.732
13.77
7.61
[ 2, 4, 4, 10 ]
[ "(4-2)×10+4", "10×4/2+4", "4×4+10-2", "(10+4)×2-4" ]
true
12.45
0.899
12.73
5.3
[ 2, 4, 4, 11 ]
[ "(4/4+11)×2", "(11×4+4)/2" ]
true
7.92
0.845
7.85
3.57
[ 2, 4, 4, 12 ]
[ "(12-4-2)×4", "4×2+12+4", "12×4/(4-2)", "(4-4/2)×12", "12×2+4-4" ]
true
5.93
0.985
6.31
2.16
[ 2, 4, 4, 13 ]
[ "(13-4/4)×2", "(13×4-4)/2" ]
true
7.75
0.856
7.86
3.55
[ 2, 4, 5, 5 ]
[ "(5+5)×2+4" ]
true
25.84
0.598
15.79
8.59
[ 2, 4, 5, 6 ]
[ "6×5-4-2", "(4+2)×5-6", "5×4+6-2", "(6-2)×5+4", "(5+4)×2+6" ]
true
11.29
0.911
11.75
4.52
[ 2, 4, 5, 7 ]
[ "(7+5)×(4-2)", "(7+5)×4/2" ]
true
13.07
0.781
11.56
5.73
[ 2, 4, 5, 8 ]
[ "(8-5)×4×2", "(4×2-5)×8", "(5+2-4)×8", "(5-4/2)×8", "8×5/2+4", "5×4+8/2", "(5×4-8)×2" ]
true
7.04
0.952
7.44
2.81
[ 2, 4, 5, 9 ]
[ "(4+2)×(9-5)", "(9+2-5)×4", "(9+5)×2-4" ]
true
9.8
0.863
9.82
4.76
[ 2, 4, 5, 10 ]
[ "5×2+10+4" ]
true
23.42
0.677
17.84
8.52
[ 2, 4, 5, 11 ]
[ "4×2+11+5", "(11+5-4)×2" ]
true
10.13
0.873
10.25
4.77
[ 2, 4, 5, 12 ]
[ "(12-4)×(5-2)", "(5-2)×4+12", "(5-4)×12×2" ]
true
6.58
0.947
7.02
2.86
[ 2, 4, 5, 13 ]
[ "13+5+4+2", "(13-5-2)×4", "(13+4-5)×2" ]
true
7.79
0.947
8.37
3.35
[ 2, 4, 6, 6 ]
[ "(6+2-4)×6", "(6+6)×(4-2)", "(6+6)×4/2", "(6-4/2)×6", "(6-4)×6×2", "(6×2-6)×4" ]
true
8.65
0.943
9.33
3.92
[ 2, 4, 6, 7 ]
[ "(6+2)×(7-4)", "7×4+2-6", "(6-2)×7-4", "7×2+6+4", "6/(2-7/4)" ]
true
10.58
0.899
10.66
4.37
[ 2, 4, 6, 8 ]
[ "8×6/(4-2)", "8×6×2/4", "8×4-6-2", "(6+2)×4-8", "6×2+8+4", "(6-2)×4+8", "(8/4+2)×6", "(8+6)×2-4" ]
true
11.45
0.935
11.83
4.36
[ 2, 4, 6, 9 ]
[ "(9-6)×4×2", "(4-2)×9+6", "9×4/2+6", "9×4-6×2", "(9-6/2)×4", "(4/6+2)×9", "6/(9/4-2)" ]
true
8.66
0.921
9.16
4.15
[ 2, 4, 6, 10 ]
[ "(4+2)×(10-6)", "(10-4-2)×6", "4×2+10+6", "(10+2-6)×4", "(10-4)×(6-2)", "(10+2)×(6-4)", "(10+6-4)×2" ]
true
7.95
0.94
8.41
3.4
[ 2, 4, 6, 11 ]
[ "11×2+6-4", "(6-4)×11+2", "(11+4)×2-6", "4/(2-11/6)" ]
true
11.49
0.853
11.28
5.59
[ 2, 4, 6, 12 ]
[ "12+6+4+2", "(4+2)×6-12", "(4×2-6)×12", "(12-4×2)×6", "(4-2)×6+12", "6×4/2+12", "(6+2)×12/4", "(12-4)×6/2", "(6×4-12)×2", "12/(2-6/4)" ]
true
10.44
0.944
11.21
4.84
[ 2, 4, 6, 13 ]
[ "13×2+4-6", "(6-4)×13-2", "(13-4)×2+6", "4/(13/6-2)" ]
true
10.06
0.872
10.26
5.09