numbers
stringlengths 12
16
| solutions
stringlengths 11
136
| solvable
bool 1
class | amt
float64 4.57
191
| solved_rate
float64 0.22
1
| mean_time
float64 4.81
34.8
| std_time
float64 1.47
19.7
|
|---|---|---|---|---|---|---|
[1, 2, 8, 13]
|
['13+8+2+1']
| true
| 10.44
| 0.916
| 10.66
| 4.77
|
[3, 9, 9, 9]
|
['9+9+9-3', '(9×9-9)/3', '(9-9/9)×3']
| true
| 6.12
| 0.976
| 6.56
| 2.19
|
[9, 10, 12, 12]
|
['(12+12)×(10-9)']
| true
| 5.96
| 0.959
| 6.29
| 2.05
|
[1, 2, 13, 13]
|
['(13+13-2)×1']
| true
| 6.25
| 0.973
| 6.96
| 2.69
|
[2, 9, 10, 12]
|
['(10-2)×(12-9)', '(10-9)×12×2']
| true
| 7.28
| 0.941
| 7.63
| 2.89
|
[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
|
[2, 4, 7, 7]
|
['(7+7)×2-4']
| true
| 35.74
| 0.512
| 17.72
| 9.75
|
[2, 3, 10, 10]
|
['(10-3)×2+10']
| true
| 19.95
| 0.687
| 14.88
| 7.68
|
[4, 4, 6, 11]
|
['(11-6)×4+4']
| true
| 8.94
| 0.864
| 8.91
| 4.57
|
[2, 10, 11, 13]
|
['(10+2)×(13-11)', '(13+10-11)×2']
| true
| 8.6
| 0.897
| 8.66
| 3.42
|
[3, 5, 5, 7]
|
['(7+5)×(5-3)', '(5/5+7)×3']
| true
| 7.63
| 0.901
| 7.86
| 3.17
|
[6, 7, 9, 9]
|
['7×6-9-9', '(9+7)×9/6', '(9-7)×9+6']
| true
| 12.04
| 0.806
| 11.2
| 6.1
|
[3, 7, 8, 13]
|
['(13-7-3)×8', '13×3-8-7']
| true
| 10.01
| 0.844
| 9.93
| 5.13
|
[2, 6, 8, 12]
|
['12+8+6-2', '12×8/(6-2)', '(8×2-12)×6', '(8-2)×6-12', '(12-6)×8/2', '(6-8/2)×12', '8×6-12×2']
| true
| 10.55
| 0.942
| 11.28
| 4.55
|
[1, 3, 5, 10]
|
['10×3-5-1', '5×3+10-1']
| true
| 9.18
| 0.932
| 9.66
| 3.84
|
[4, 4, 6, 9]
|
['(4+4)×(9-6)', '9×4×4/6']
| true
| 12.94
| 0.768
| 11.01
| 5.86
|
[6, 7, 10, 12]
|
['12×7/6+10', '12×7-10×6', '12×6/(10-7)']
| true
| 10.92
| 0.851
| 10.85
| 4.89
|
[5, 7, 7, 11]
|
['(5-11/7)×7']
| true
| 90.39
| 0.275
| 26.22
| 13.42
|
[2, 6, 7, 9]
|
['9+7+6+2', '(9-7)×6×2', '(9+2-7)×6', '7×6-9×2']
| true
| 7.34
| 0.961
| 7.85
| 3.01
|
[10, 10, 10, 12]
|
['(10+10)×12/10']
| true
| 23.18
| 0.597
| 11.12
| 7.61
|
[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
|
[4, 5, 10, 11]
|
['10×4-11-5', '(11+5-10)×4']
| true
| 8.06
| 0.881
| 8.5
| 4.35
|
[5, 8, 8, 9]
|
['9×8/(8-5)', '(9-5)×8-8']
| true
| 7.87
| 0.872
| 8.18
| 3.96
|
[3, 5, 8, 8]
|
['8+8+5+3', '(5-3)×8+8']
| true
| 8.26
| 0.923
| 8.73
| 3.95
|
[2, 3, 8, 9]
|
['(9-3×2)×8', '(9-3)×8/2']
| true
| 14.34
| 0.809
| 13.17
| 6.4
|
[5, 8, 11, 12]
|
['(8+5-11)×12', '(11+5)×12/8', '(11-5)×(12-8)']
| true
| 10.6
| 0.871
| 10.85
| 4.37
|
[3, 6, 8, 12]
|
['(12-6-3)×8', '(8-12/3)×6']
| true
| 15.52
| 0.802
| 14.12
| 6.22
|
[1, 5, 11, 12]
|
['(11-1)×12/5']
| true
| 15.54
| 0.712
| 11.75
| 6.26
|
[3, 3, 5, 12]
|
['5×3+12-3', '(12-5)×3+3']
| true
| 11.66
| 0.873
| 11.77
| 5.3
|
[7, 7, 7, 12]
|
['(7+7)×12/7']
| true
| 16.45
| 0.645
| 9.38
| 6.22
|
[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
|
[4, 6, 8, 9]
|
['(9-8)×6×4', '9×8/4+6', '(4-8/6)×9']
| true
| 8.02
| 0.935
| 8.51
| 3.48
|
[3, 6, 9, 9]
|
['9×3+6-9', '(9-6)×9-3', '(9/9+3)×6']
| true
| 7.08
| 0.94
| 7.65
| 3.29
|
[1, 2, 9, 12]
|
['12+9+2+1']
| true
| 7.85
| 0.927
| 8.43
| 3.84
|
[2, 9, 9, 12]
|
['12×2+9-9', '12/2+9+9', '(9+9)×2-12']
| true
| 5.36
| 0.974
| 5.79
| 2.01
|
[4, 8, 10, 11]
|
['(10+4-11)×8']
| true
| 7.79
| 0.908
| 8.12
| 3.49
|
[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
|
[5, 5, 11, 12]
|
['5×5+11-12', '5/5+12+11', '(12-5)×5-11']
| true
| 5.53
| 0.964
| 5.89
| 1.9
|
[4, 6, 8, 12]
|
['(6+4-8)×12', '8×6/4+12', '(8+4)×12/6', '(12-6)×(8-4)', '12×4/(8-6)', '(6-12/4)×8', '(8-12/6)×4']
| true
| 8.29
| 0.942
| 8.94
| 3.55
|
[3, 9, 9, 13]
|
['(9-3)×(13-9)']
| true
| 17.18
| 0.675
| 12.58
| 6.35
|
[6, 6, 6, 6]
|
['6+6+6+6', '6×6-6-6']
| true
| 4.57
| 0.995
| 4.81
| 1.47
|
[1, 6, 9, 13]
|
['(13-9)×6×1']
| true
| 7.97
| 0.908
| 8.36
| 4.08
|
[7, 8, 9, 10]
|
['9×8/(10-7)']
| true
| 12.36
| 0.796
| 11.28
| 5.51
|
[5, 6, 10, 11]
|
['(10+5-11)×6', '(11-5)×(10-6)']
| true
| 7.91
| 0.905
| 8.27
| 3.58
|
[2, 5, 5, 9]
|
['5×2+9+5', '(5-2)×5+9']
| true
| 16.2
| 0.785
| 14.74
| 6.1
|
[6, 6, 9, 11]
|
['(6+6)×(11-9)', '(9+6-11)×6']
| true
| 8.79
| 0.886
| 9.14
| 4.16
|
[4, 5, 5, 9]
|
['5×4+9-5', '(9-5)×5+4']
| true
| 9.04
| 0.915
| 9.42
| 3.93
|
[5, 10, 13, 13]
|
['10×5-13-13', '13+13-10/5', '(13-5)×(13-10)']
| true
| 7.58
| 0.927
| 8.01
| 2.78
|
[1, 6, 12, 12]
|
['12×12×1/6', '12/(1-6/12)']
| true
| 6.06
| 0.945
| 6.44
| 2.43
|
[3, 9, 9, 12]
|
['9×3+9-12', '9/3+12+9', '(3-9/9)×12', '(12-9)×9-3']
| true
| 6.57
| 0.952
| 7.02
| 2.65
|
[1, 6, 7, 9]
|
['(7+1)×(9-6)']
| true
| 11.67
| 0.844
| 11.36
| 4.68
|
[4, 4, 5, 7]
|
['(7+4-5)×4']
| true
| 9.96
| 0.852
| 9.63
| 4.6
|
[3, 3, 3, 11]
|
['11×3-3×3']
| true
| 12.39
| 0.786
| 11.1
| 5.61
|
[8, 9, 10, 12]
|
['(10+8)×12/9', '12×10/8+9']
| true
| 51.92
| 0.431
| 23.06
| 14.34
|
[1, 2, 5, 7]
|
['(7+5)×2×1', '(7+1)×(5-2)', '(7-2)×5-1']
| true
| 6.84
| 0.952
| 7.17
| 2.64
|
[2, 8, 10, 10]
|
['8/2+10+10', '(10+2)×(10-8)', '(10+10-8)×2', '(10/10+2)×8']
| true
| 6.01
| 0.955
| 6.36
| 2.11
|
[2, 7, 11, 12]
|
['(11-7-2)×12', '(11-7)×12/2', '12/2+11+7', '(11+7)×2-12']
| true
| 8.35
| 0.914
| 8.69
| 3.48
|
[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
|
[8, 8, 10, 13]
|
['8/8+13+10', '13×8-10×8']
| true
| 7.02
| 0.906
| 7.45
| 3.11
|
[9, 10, 12, 13]
|
['13+12+9-10']
| true
| 8.3
| 0.935
| 8.87
| 3.64
|
[4, 6, 13, 13]
|
['6×4+13-13', '13+13+4-6']
| true
| 5.26
| 0.988
| 5.67
| 1.8
|
[3, 4, 4, 10]
|
['(10-3)×4-4']
| true
| 15.03
| 0.769
| 12.54
| 6.93
|
[6, 8, 10, 11]
|
['(11-8)×10-6']
| true
| 21.39
| 0.639
| 14.37
| 7.76
|
[1, 2, 2, 4]
|
['(2+1)×4×2']
| true
| 7.6
| 0.958
| 7.94
| 2.47
|
[2, 2, 12, 12]
|
['12+12+2-2', '(12×2-12)×2']
| true
| 5.77
| 0.986
| 6.27
| 2.24
|
[4, 9, 9, 10]
|
['10+9+9-4']
| true
| 10.03
| 0.899
| 10.28
| 4.17
|
[3, 5, 6, 8]
|
['8×6/(5-3)', '(5-6/3)×8', '(6-5)×8×3']
| true
| 7.43
| 0.938
| 7.96
| 3.23
|
[4, 5, 6, 7]
|
['(7+5)×(6-4)', '(7+5-6)×4']
| true
| 8.81
| 0.897
| 9.2
| 3.97
|
[6, 6, 9, 13]
|
['13×6-9×6']
| true
| 31.03
| 0.538
| 14.15
| 9.07
|
[2, 9, 10, 13]
|
['10×2+13-9', '(13+9-10)×2']
| true
| 8.87
| 0.901
| 9.36
| 4.17
|
[2, 2, 6, 8]
|
['(8-2-2)×6', '(8-2×2)×6', '8×2+6+2', '(6+2)×2+8', '(8+6-2)×2', '(8-2)×(6-2)']
| true
| 9.41
| 0.955
| 9.83
| 3.55
|
[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
|
[4, 9, 11, 12]
|
['(9+4-11)×12', '12×11/4-9', '12×4/(11-9)']
| true
| 10.25
| 0.887
| 10.39
| 4.31
|
[2, 2, 2, 13]
|
['(13-2/2)×2', '(13-2)×2+2']
| true
| 6.84
| 0.935
| 7.23
| 2.8
|
[5, 6, 9, 11]
|
['(11+9)×6/5', '(11+5)×9/6']
| true
| 75.91
| 0.334
| 27.08
| 15.22
|
[4, 6, 12, 13]
|
['(13-12)×6×4']
| true
| 6.4
| 0.938
| 6.88
| 2.91
|
[10, 11, 11, 13]
|
['(13+11)×(11-10)', '11/11+13+10']
| true
| 6.51
| 0.948
| 6.93
| 2.65
|
[5, 7, 10, 12]
|
['(7+5)×(12-10)', '(7+5-10)×12', '12+10+7-5']
| true
| 6.76
| 0.968
| 7.25
| 2.52
|
[5, 7, 11, 13]
|
['(7+5)×(13-11)']
| true
| 13.48
| 0.709
| 10.38
| 5.51
|
[1, 4, 9, 13]
|
['9×4+1-13']
| true
| 28.97
| 0.61
| 19.64
| 10.47
|
[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
|
[1, 11, 11, 13]
|
['(11+1)×(13-11)', '(13/11+1)×11']
| true
| 10.33
| 0.875
| 10.27
| 4.31
|
[7, 8, 8, 9]
|
['(9-7)×8+8']
| true
| 7.39
| 0.864
| 7.82
| 3.96
|
[5, 6, 8, 9]
|
['(8+5-9)×6', '(9+6)×8/5']
| true
| 9.73
| 0.899
| 10.01
| 4.44
|
[5, 6, 7, 13]
|
['6×5+7-13', '(13+7)×6/5', '7×6-13-5', '(13-7)×5-6']
| true
| 10.72
| 0.862
| 10.82
| 5.55
|
[1, 1, 3, 5]
|
['(5+1)×(3+1)']
| true
| 6.92
| 0.954
| 7.24
| 2.32
|
[1, 2, 3, 10]
|
['10×2+3+1', '(10-2)×3×1', '(10+3-1)×2', '(10+2)×(3-1)']
| true
| 6.17
| 0.983
| 6.49
| 1.99
|
[1, 2, 2, 5]
|
['(5+1)×(2+2)', '(5+1)×2×2']
| true
| 7.78
| 0.947
| 8.07
| 2.85
|
[3, 6, 7, 13]
|
['6×3+13-7', '(13-7)×3+6']
| true
| 11.65
| 0.824
| 10.94
| 6.02
|
[3, 5, 7, 10]
|
['(5+3)×(10-7)', '(5-3)×7+10', '(10+5-7)×3']
| true
| 11.37
| 0.846
| 11.02
| 5.28
|
[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
|
[1, 3, 10, 12]
|
['12+10+3-1']
| true
| 7.13
| 0.965
| 7.6
| 2.74
|
[1, 5, 5, 13]
|
['13+5+5+1']
| true
| 8.31
| 0.93
| 8.49
| 3.27
|
[2, 6, 6, 9]
|
['(6+2)×(9-6)', '(9+6)×2-6', '(9×6-6)/2']
| true
| 17.45
| 0.725
| 13.7
| 6.89
|
[4, 4, 4, 10]
|
['10×4-4×4', '(4×4-10)×4']
| true
| 15.27
| 0.765
| 13.03
| 6.5
|
[1, 1, 3, 9]
|
['(9+3)×(1+1)', '(9-1)×3×1']
| true
| 5.19
| 0.97
| 5.53
| 1.84
|
[3, 3, 9, 9]
|
['9+9+3+3', '9×3-9/3', '(3-3/9)×9', '9×9/3-3']
| true
| 7.43
| 0.959
| 7.78
| 2.79
|
[8, 8, 8, 11]
|
['11×8-8×8']
| true
| 18.2
| 0.632
| 10.83
| 6.35
|
[3, 4, 10, 10]
|
['10×3+4-10']
| true
| 15.18
| 0.755
| 13.27
| 6.28
|
[5, 8, 8, 13]
|
['13+8+8-5']
| true
| 8.14
| 0.925
| 8.5
| 3.7
|
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