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
|
|---|---|---|---|---|---|---|
[
8,
8,
10,
12
] |
[
"(12-10)×8+8"
] | true
| 11.15
| 0.789
| 10.07
| 5.8
|
[
8,
8,
10,
13
] |
[
"8/8+13+10",
"13×8-10×8"
] | true
| 7.02
| 0.906
| 7.45
| 3.11
|
[
8,
8,
11,
12
] |
[
"8/8+12+11"
] | true
| 6.19
| 0.91
| 6.59
| 2.71
|
[
8,
8,
11,
13
] |
[
"13+11+8-8",
"(13-11)×8+8"
] | true
| 5.64
| 0.971
| 6.16
| 2.3
|
[
8,
8,
12,
12
] |
[
"12+12+8-8",
"12×8/(12-8)"
] | true
| 5.38
| 0.987
| 5.82
| 1.96
|
[
8,
8,
12,
13
] |
[
"13+12-8/8"
] | true
| 7.07
| 0.922
| 7.4
| 2.7
|
[
8,
9,
9,
12
] |
[
"9×8/(12-9)"
] | true
| 11.79
| 0.826
| 11.1
| 4.78
|
[
8,
9,
10,
12
] |
[
"(10+8)×12/9",
"12×10/8+9"
] | true
| 51.92
| 0.431
| 23.06
| 14.34
|
[
8,
9,
10,
13
] |
[
"9×8/(13-10)",
"13+10+9-8"
] | true
| 6.96
| 0.96
| 7.48
| 2.71
|
[
8,
9,
11,
11
] |
[
"(11-8)×11-9"
] | true
| 26.08
| 0.584
| 16.62
| 8.85
|
[
8,
9,
11,
12
] |
[
"12+11+9-8"
] | true
| 6.87
| 0.951
| 7.55
| 3.1
|
[
8,
9,
11,
13
] |
[
"(13+11)×(9-8)"
] | true
| 7.83
| 0.905
| 8.29
| 3.8
|
[
8,
9,
12,
12
] |
[
"(12+12)×(9-8)",
"(12-8)×9-12",
"12×12/9+8"
] | true
| 5.8
| 0.963
| 6.28
| 2.23
|
[
8,
9,
12,
13
] |
[
"13+12+8-9",
"12×8/(13-9)"
] | true
| 6.94
| 0.96
| 7.43
| 2.68
|
[
8,
10,
10,
12
] |
[
"12+10+10-8"
] | true
| 8.18
| 0.944
| 8.65
| 3.43
|
[
8,
10,
11,
11
] |
[
"11+11+10-8"
] | true
| 7.13
| 0.95
| 7.55
| 2.78
|
[
8,
10,
12,
12
] |
[
"(12+8)×12/10",
"12×10-12×8"
] | true
| 20.55
| 0.633
| 11.9
| 7.62
|
[
8,
10,
12,
13
] |
[
"12×10/(13-8)"
] | true
| 18.99
| 0.675
| 14.75
| 6.55
|
[
8,
10,
13,
13
] |
[
"13+13+8-10"
] | true
| 8.03
| 0.925
| 8.41
| 3.36
|
[
8,
11,
12,
12
] |
[
"(11-8)×12-12"
] | true
| 8.24
| 0.772
| 7.55
| 3.8
|
[
9,
9,
9,
12
] |
[
"(9+9)×12/9"
] | true
| 19.42
| 0.631
| 10.38
| 7.1
|
[
9,
9,
10,
13
] |
[
"9/9+13+10"
] | true
| 6.73
| 0.91
| 6.94
| 2.73
|
[
9,
9,
11,
12
] |
[
"9/9+12+11",
"(12-9)×11-9"
] | true
| 5.64
| 0.94
| 5.99
| 2.14
|
[
9,
9,
11,
13
] |
[
"13+11+9-9"
] | true
| 5.82
| 0.969
| 6.39
| 2.41
|
[
9,
9,
12,
12
] |
[
"12+12+9-9"
] | true
| 5.38
| 0.984
| 5.88
| 2.12
|
[
9,
9,
12,
13
] |
[
"13+12-9/9",
"(13-9)×9-12"
] | true
| 6.34
| 0.94
| 6.7
| 2.24
|
[
9,
10,
10,
13
] |
[
"13+10+10-9"
] | true
| 7.61
| 0.953
| 8.04
| 3.09
|
[
9,
10,
11,
12
] |
[
"12+11+10-9",
"(11+9)×12/10"
] | true
| 6.96
| 0.961
| 7.5
| 2.82
|
[
9,
10,
11,
13
] |
[
"(13+11)×(10-9)",
"(13-10)×11-9"
] | true
| 8.97
| 0.898
| 9.28
| 3.92
|
[
9,
10,
12,
12
] |
[
"(12+12)×(10-9)"
] | true
| 5.96
| 0.959
| 6.29
| 2.05
|
[
9,
10,
12,
13
] |
[
"13+12+9-10"
] | true
| 8.3
| 0.935
| 8.87
| 3.64
|
[
9,
11,
11,
11
] |
[
"11+11+11-9"
] | true
| 6.95
| 0.955
| 7.3
| 2.75
|
[
9,
11,
12,
12
] |
[
"12×11-12×9"
] | true
| 21.38
| 0.593
| 11.02
| 6.56
|
[
9,
11,
12,
13
] |
[
"(13+9)×12/11"
] | true
| 99.38
| 0.289
| 22.82
| 13.58
|
[
9,
11,
13,
13
] |
[
"13+13+9-11"
] | true
| 7.72
| 0.922
| 8.27
| 3.29
|
[
9,
12,
12,
12
] |
[
"(12-9)×12-12"
] | true
| 7.35
| 0.816
| 7.21
| 3.72
|
[
10,
10,
10,
12
] |
[
"(10+10)×12/10"
] | true
| 23.18
| 0.597
| 11.12
| 7.61
|
[
10,
10,
10,
13
] |
[
"10/10+13+10"
] | true
| 6.46
| 0.93
| 6.9
| 3.01
|
[
10,
10,
11,
12
] |
[
"10/10+12+11"
] | true
| 6.22
| 0.935
| 6.61
| 2.36
|
[
10,
10,
11,
13
] |
[
"13+11+10-10"
] | true
| 6
| 0.975
| 6.54
| 2.35
|
[
10,
10,
12,
12
] |
[
"12+12+10-10"
] | true
| 5.34
| 0.987
| 5.8
| 1.93
|
[
10,
10,
12,
13
] |
[
"13+12-10/10"
] | true
| 7.21
| 0.923
| 7.49
| 2.61
|
[
10,
11,
11,
12
] |
[
"12+11+11-10"
] | true
| 7.45
| 0.968
| 7.93
| 2.82
|
[
10,
11,
11,
13
] |
[
"(13+11)×(11-10)",
"11/11+13+10"
] | true
| 6.51
| 0.948
| 6.93
| 2.65
|
[
10,
11,
12,
12
] |
[
"(12+12)×(11-10)",
"(12+10)×12/11"
] | true
| 6.06
| 0.961
| 6.36
| 2.1
|
[
10,
11,
12,
13
] |
[
"13+12+10-11"
] | true
| 8.21
| 0.959
| 8.84
| 3.58
|
[
10,
12,
12,
12
] |
[
"12×12-12×10"
] | true
| 17.98
| 0.641
| 10.76
| 6.08
|
[
10,
12,
12,
13
] |
[
"12/12+13+10",
"(13-10)×12-12"
] | true
| 7.37
| 0.901
| 7.8
| 3.55
|
[
10,
12,
13,
13
] |
[
"13+13+10-12"
] | true
| 8.02
| 0.945
| 8.53
| 3.01
|
[
10,
13,
13,
13
] |
[
"13/13+13+10"
] | true
| 6.2
| 0.935
| 6.69
| 2.87
|
[
11,
11,
11,
12
] |
[
"(11+11)×12/11",
"11/11+12+11"
] | true
| 5.33
| 0.95
| 5.62
| 1.98
|
[
11,
11,
11,
13
] |
[
"13+11+11-11"
] | true
| 5.56
| 0.984
| 6.11
| 2.26
|
[
11,
11,
12,
12
] |
[
"12+12+11-11"
] | true
| 5.15
| 0.988
| 5.54
| 1.87
|
[
11,
11,
12,
13
] |
[
"13+12-11/11",
"(13+11)×(12-11)"
] | true
| 6.99
| 0.952
| 7.46
| 2.53
|
[
11,
12,
12,
12
] |
[
"12/12+12+11",
"(12+12)×(12-11)"
] | true
| 5.44
| 0.979
| 5.77
| 1.88
|
[
11,
12,
12,
13
] |
[
"13+12+11-12",
"13×12-12×11"
] | true
| 6.89
| 0.972
| 7.5
| 2.72
|
[
11,
12,
13,
13
] |
[
"13/13+12+11",
"(13+11)×(13-12)"
] | true
| 6.26
| 0.953
| 6.74
| 2.49
|
[
11,
13,
13,
13
] |
[
"13+13+11-13"
] | true
| 5.85
| 0.979
| 6.42
| 2.42
|
[
12,
12,
12,
12
] |
[
"12+12+12-12"
] | true
| 5.27
| 0.993
| 5.72
| 2.08
|
[
12,
12,
12,
13
] |
[
"(12+12)×(13-12)",
"13+12-12/12"
] | true
| 5.79
| 0.975
| 6.13
| 2
|
[
12,
12,
13,
13
] |
[
"13+12+12-13"
] | true
| 5.4
| 0.987
| 5.82
| 1.93
|
[
12,
13,
13,
13
] |
[
"13+12-13/13",
"(13+13)×12/13"
] | true
| 6.49
| 0.947
| 6.86
| 2.44
|
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