Question: 在2023年02月13日-2023年12月14日，三一重工的价格有多少次突破5日赫尔移动平均线？使用不复权价格，写出指标公式，搜集原始数据，计算得出答案，保留四位小数。注意列出原始数据和关键计算过程。
Formula: HMA = WMA_{\sqrt{n}}(2 * WMA_{n/2}(P) - WMA_n(P))
Data:
date,close,high,open
2023-02-02,16.99,17.23,17.19
2023-02-03,16.66,16.91,16.9
2023-02-06,16.48,16.76,16.51
2023-02-07,16.52,16.62,16.55
2023-02-08,16.45,16.56,16.51
2023-02-09,16.64,16.64,16.49
2023-02-10,16.53,16.72,16.64
2023-02-13,18.18,18.18,16.66
2023-02-14,18.34,18.47,18.1
2023-02-15,18.23,18.4,18.35
2023-02-16,17.82,18.29,18.21
2023-02-17,18.03,18.33,17.81
2023-02-20,19.56,19.65,18.39
2023-02-21,19.26,19.61,19.54
2023-02-22,19.34,19.73,19.4
2023-02-23,19.15,19.4,19.34
2023-02-24,18.66,19.3,19.26
2023-02-27,18.76,18.97,18.5
2023-02-28,18.73,18.96,18.81
2023-03-01,19.27,19.3,18.76
2023-03-02,19.3,19.45,19.21
2023-03-03,19.29,19.43,19.3
2023-03-06,18.54,19.1,19.0
2023-03-07,18.21,18.72,18.53
2023-03-08,18.28,18.45,18.1
2023-03-09,17.95,18.37,18.28
2023-03-10,17.78,18.11,17.84
2023-03-13,17.93,18.37,17.83
2023-03-14,17.43,17.92,17.92
2023-03-15,17.55,17.67,17.54
2023-03-16,17.37,17.68,17.48
2023-03-17,17.47,17.77,17.57
2023-03-20,17.22,17.96,17.47
2023-03-21,17.3,17.35,17.22
2023-03-22,17.44,17.55,17.45
2023-03-23,17.38,17.46,17.4
2023-03-24,16.94,17.38,17.38
2023-03-27,16.81,16.94,16.94
2023-03-28,16.77,17.02,16.83
2023-03-29,17.11,17.2,16.85
2023-03-30,17.21,17.38,17.14
2023-03-31,17.09,17.35,17.26
2023-04-03,17.69,17.85,17.13
2023-04-04,17.7,17.8,17.63
2023-04-06,17.61,17.84,17.7
2023-04-07,17.4,17.7,17.61
2023-04-10,17.03,17.47,17.42
2023-04-11,17.52,17.55,17.06
2023-04-12,17.39,17.62,17.53
2023-04-13,17.07,17.53,17.37
2023-04-14,16.99,17.17,17.1
2023-04-17,17.32,17.44,17.0
2023-04-18,17.29,17.41,17.36
2023-04-19,17.01,17.34,17.3
2023-04-20,16.9,17.17,16.99
2023-04-21,16.6,17.15,16.81
2023-04-24,16.0,16.66,16.61
2023-04-25,16.17,16.2,16.1
2023-04-26,16.03,16.25,16.19
2023-04-27,16.22,16.26,16.04
2023-04-28,16.49,16.51,16.25
2023-05-04,16.33,16.5,16.44
2023-05-05,16.24,16.41,16.33
2023-05-08,16.34,16.46,16.24
2023-05-09,16.2,16.58,16.35
2023-05-10,16.23,16.28,16.21
2023-05-11,16.09,16.25,16.22
2023-05-12,15.71,16.11,16.09
2023-05-15,16.12,16.14,15.72
2023-05-16,16.02,16.27,16.16
2023-05-17,16.2,16.38,15.99
2023-05-18,16.06,16.28,16.2
2023-05-19,15.84,16.05,16.01
2023-05-22,16.09,16.28,15.84
2023-05-23,15.88,16.13,16.09
2023-05-24,15.54,15.8,15.79
2023-05-25,15.29,15.59,15.52
2023-05-26,15.19,15.32,15.29
2023-05-29,15.13,15.27,15.19
2023-05-30,15.05,15.2,15.09
2023-05-31,14.68,15.03,14.89
2023-06-01,14.93,15.09,14.68
2023-06-02,15.27,15.35,14.97
2023-06-05,15.14,15.35,15.27
2023-06-06,15.08,15.5,15.2
2023-06-07,14.98,15.22,15.01
2023-06-08,15.69,15.71,15.0
2023-06-09,15.49,15.79,15.68
2023-06-12,15.71,15.83,15.47
2023-06-13,15.68,15.85,15.71
2023-06-14,16.24,16.33,15.75
2023-06-15,16.92,16.99,16.21
2023-06-16,17.05,17.33,17.08
2023-06-19,16.85,17.25,17.24
2023-06-20,16.83,17.0,16.88
2023-06-21,16.58,16.91,16.76
2023-06-26,16.35,16.67,16.5
2023-06-27,16.56,16.61,16.35
2023-06-28,16.53,16.63,16.5
2023-06-29,16.41,16.6,16.55
2023-06-30,16.63,16.71,16.35
2023-07-03,16.6,16.93,16.79
2023-07-04,16.65,16.91,16.6
2023-07-05,16.68,16.81,16.61
2023-07-06,16.52,16.85,16.61
2023-07-07,16.54,16.62,16.41
2023-07-10,16.63,16.74,16.5
2023-07-11,16.71,16.86,16.63
2023-07-12,16.61,17.05,16.71
2023-07-13,16.69,16.81,16.71
2023-07-14,17.17,17.22,16.7
2023-07-17,17.16,17.18,17.08
2023-07-18,17.28,17.46,17.16
2023-07-19,17.37,17.39,17.27
2023-07-20,17.26,17.75,17.37
2023-07-21,17.42,17.7,17.2
2023-07-24,17.13,17.58,17.48
2023-07-25,17.68,17.8,17.28
2023-07-26,17.31,17.71,17.68
2023-07-27,17.07,17.44,17.31
2023-07-28,17.56,17.7,17.0
2023-07-31,17.75,18.03,17.63
2023-08-01,17.27,17.71,17.65
2023-08-02,17.41,17.64,17.36
2023-08-03,17.56,17.57,17.31
2023-08-04,17.5,17.88,17.75
2023-08-07,17.39,17.5,17.45
2023-08-08,17.04,17.39,17.39
2023-08-09,16.48,16.98,16.98
2023-08-10,16.5,16.58,16.5
2023-08-11,15.9,16.55,16.5
2023-08-14,15.86,15.93,15.76
2023-08-15,15.78,16.0,15.88
2023-08-16,15.8,16.03,15.7
2023-08-17,16.08,16.14,15.74
2023-08-18,15.75,16.1,16.07
2023-08-21,15.59,15.87,15.71
2023-08-22,15.68,15.85,15.65
2023-08-23,15.25,15.69,15.68
2023-08-24,15.12,15.36,15.26
2023-08-25,15.17,15.35,15.1
2023-08-28,15.57,16.05,15.96
2023-08-29,15.53,15.67,15.51
2023-08-30,15.47,15.7,15.53
2023-08-31,15.49,16.07,15.75
2023-09-01,15.95,16.05,15.55
2023-09-04,17.07,17.15,16.12
2023-09-05,16.99,17.09,17.05
2023-09-06,16.78,16.97,16.95
2023-09-07,16.75,16.92,16.77
2023-09-08,16.56,16.7,16.7
2023-09-11,16.7,16.82,16.68
2023-09-12,16.62,16.75,16.65
2023-09-13,16.5,16.75,16.7
2023-09-14,16.54,16.55,16.5
2023-09-15,16.38,16.64,16.55
2023-09-18,16.32,16.49,16.34
2023-09-19,16.3,16.38,16.32
2023-09-20,16.05,16.28,16.28
2023-09-21,16.01,16.13,16.01
2023-09-22,16.38,16.43,16.08
2023-09-25,16.1,16.45,16.38
2023-09-26,16.16,16.29,16.07
2023-09-27,16.02,16.24,16.1
2023-09-28,15.89,16.1,16.09
2023-10-09,15.88,16.09,15.87
2023-10-10,15.3,15.96,15.9
2023-10-11,15.21,15.41,15.32
2023-10-12,15.42,15.43,15.32
2023-10-13,15.32,15.33,15.31
2023-10-16,15.06,15.35,15.33
2023-10-17,15.08,15.14,15.1
2023-10-18,14.91,15.08,15.06
2023-10-19,14.62,14.88,14.88
2023-10-20,14.45,14.59,14.56
2023-10-23,14.24,14.51,14.46
2023-10-24,14.28,14.36,14.23
2023-10-25,14.6,14.97,14.76
2023-10-26,14.62,14.64,14.45
2023-10-27,14.91,14.96,14.6
2023-10-30,15.03,15.08,14.89
2023-10-31,14.47,14.77,14.75
2023-11-01,14.21,14.52,14.48
2023-11-02,14.04,14.32,14.21
2023-11-03,14.24,14.28,14.08
2023-11-06,14.48,14.48,14.3
2023-11-07,14.38,14.47,14.47
2023-11-08,14.36,14.43,14.35
2023-11-09,14.3,14.38,14.33
2023-11-10,14.17,14.26,14.26
2023-11-13,14.24,14.26,14.21
2023-11-14,14.24,14.3,14.23
2023-11-15,14.34,14.45,14.35
2023-11-16,14.17,14.31,14.3
2023-11-17,14.21,14.22,14.15
2023-11-20,14.19,14.24,14.17
2023-11-21,14.29,14.48,14.2
2023-11-22,14.11,14.25,14.24
2023-11-23,14.17,14.17,14.12
2023-11-24,14.09,14.2,14.19
2023-11-27,13.83,14.07,14.05
2023-11-28,13.87,13.89,13.82
2023-11-29,13.68,13.85,13.85
2023-11-30,13.65,13.73,13.66
2023-12-01,13.72,13.73,13.68
2023-12-04,13.52,13.7,13.68
2023-12-05,13.29,13.49,13.49
2023-12-06,13.3,13.37,13.28
2023-12-07,13.13,13.33,13.32
2023-12-08,12.99,13.22,13.15
2023-12-11,13.07,13.18,12.85
2023-12-12,13.12,13.17,13.0
2023-12-13,12.85,13.11,13.1
2023-12-14,12.77,13.03,12.88

Indicator data:
date,5日,close
2023-02-09,16.541333333333334,16.64
2023-02-10,16.59911111111111,16.53
2023-02-13,17.644444444444442,18.18
2023-02-14,18.716888888888885,18.34
2023-02-15,18.74133333333333,18.23
2023-02-16,18.15088888888889,17.82
2023-02-17,17.87577777777778,18.03
2023-02-20,18.988,19.56
2023-02-21,19.776,19.26
2023-02-22,19.655555555555555,19.34
2023-02-23,19.329333333333334,19.15
2023-02-24,18.794666666666668,18.66
2023-02-27,18.54755555555556,18.76
2023-02-28,18.616666666666664,18.73
2023-03-01,19.049999999999997,19.27
2023-03-02,19.426222222222226,19.3
2023-03-03,19.444222222222223,19.29
2023-03-06,18.854666666666663,18.54
2023-03-07,18.132666666666665,18.21
2023-03-08,17.96822222222222,18.28
2023-03-09,17.90711111111111,17.95
2023-03-10,17.714000000000002,17.78
2023-03-13,17.74711111111111,17.93
2023-03-14,17.55622222222222,17.43
2023-03-15,17.390444444444444,17.55
2023-03-16,17.341555555555562,17.37
2023-03-17,17.36844444444445,17.47
2023-03-20,17.284222222222223,17.22
2023-03-21,17.215999999999998,17.3
2023-03-22,17.355111111111114,17.44
2023-03-23,17.433111111111117,17.38
2023-03-24,17.111333333333338,16.94
2023-03-27,16.73733333333334,16.81
2023-03-28,16.627777777777776,16.77
2023-03-29,16.90111111111111,17.11
2023-03-30,17.232444444444443,17.21
2023-03-31,17.24,17.09
2023-04-03,17.52155555555555,17.69
2023-04-04,17.843333333333334,17.7
2023-04-06,17.791555555555558,17.61
2023-04-07,17.512666666666664,17.4
2023-04-10,17.087777777777777,17.03
2023-04-11,17.192222222222217,17.52
2023-04-12,17.439999999999998,17.39
2023-04-13,17.22688888888889,17.07
2023-04-14,16.942888888888884,16.99
2023-04-17,17.099777777777778,17.32
2023-04-18,17.328222222222223,17.29
2023-04-19,17.167333333333335,17.01
2023-04-20,16.88888888888889,16.9
2023-04-21,16.599999999999998,16.6
2023-04-24,16.058888888888887,16.0
2023-04-25,15.854888888888889,16.17
2023-04-26,15.926222222222222,16.03
2023-04-27,16.091333333333335,16.22
2023-04-28,16.418888888888887,16.49
2023-05-04,16.494222222222216,16.33
2023-05-05,16.317333333333334,16.24
2023-05-08,16.274222222222225,16.34
2023-05-09,16.237555555555556,16.2
2023-05-10,16.195777777777778,16.23
2023-05-11,16.116444444444443,16.09
2023-05-12,15.794000000000002,15.71
2023-05-15,15.844888888888889,16.12
2023-05-16,16.046444444444443,16.02
2023-05-17,16.177333333333333,16.2
2023-05-18,16.16511111111111,16.06
2023-05-19,15.921999999999997,15.84
2023-05-22,15.928444444444443,16.09
2023-05-23,15.946444444444445,15.88
2023-05-24,15.636444444444445,15.54
2023-05-25,15.249555555555558,15.29
2023-05-26,15.048222222222224,15.19
2023-05-29,15.014222222222223,15.13
2023-05-30,14.99866666666667,15.05
2023-05-31,14.749333333333334,14.68
2023-06-01,14.717777777777776,14.93
2023-06-02,15.114444444444443,15.27
2023-06-05,15.297777777777776,15.14
2023-06-06,15.175555555555555,15.08
2023-06-07,15.006,14.98
2023-06-08,15.403777777777778,15.69
2023-06-09,15.709777777777779,15.49
2023-06-12,15.760222222222225,15.71
2023-06-13,15.771999999999998,15.68
2023-06-14,16.09755555555555,16.24
2023-06-15,16.854666666666663,16.92
2023-06-16,17.33888888888889,17.05
2023-06-19,17.194222222222226,16.85
2023-06-20,16.906000000000002,16.83
2023-06-21,16.63422222222222,16.58
2023-06-26,16.335333333333327,16.35
2023-06-27,16.35533333333333,16.56
2023-06-28,16.506444444444448,16.53
2023-06-29,16.466888888888892,16.41
2023-06-30,16.534888888888894,16.63
2023-07-03,16.638,16.6
2023-07-04,16.669999999999998,16.65
2023-07-05,16.69711111111111,16.68
2023-07-06,16.596222222222224,16.52
2023-07-07,16.503555555555554,16.54
2023-07-10,16.567111111111107,16.63
2023-07-11,16.695555555555554,16.71
2023-07-12,16.68733333333333,16.61
2023-07-13,16.668444444444447,16.69
2023-07-14,17.015555555555554,17.17
2023-07-17,17.303333333333335,17.16
2023-07-18,17.372,17.28
2023-07-19,17.424444444444443,17.37
2023-07-20,17.36222222222222,17.26
2023-07-21,17.374444444444446,17.42
2023-07-24,17.25266666666667,17.13
2023-07-25,17.451777777777775,17.68
2023-07-26,17.517999999999997,17.31
2023-07-27,17.169333333333338,17.07
2023-07-28,17.288666666666668,17.56
2023-07-31,17.724444444444444,17.75
2023-08-01,17.576444444444444,17.27
2023-08-02,17.33511111111111,17.41
2023-08-03,17.451333333333338,17.56
2023-08-04,17.548222222222225,17.5
2023-08-07,17.45555555555556,17.39
2023-08-08,17.131111111111114,17.04
2023-08-09,16.54066666666667,16.48
2023-08-10,16.237111111111115,16.5
2023-08-11,15.914666666666667,15.9
2023-08-14,15.648666666666665,15.86
2023-08-15,15.62577777777778,15.78
2023-08-16,15.695111111111112,15.8
2023-08-17,15.952888888888888,16.08
2023-08-18,15.930222222222222,15.75
2023-08-21,15.630444444444445,15.59
2023-08-22,15.55088888888889,15.68
2023-08-23,15.344222222222221,15.25
2023-08-24,15.047555555555554,15.12
2023-08-25,15.010444444444445,15.17
2023-08-28,15.369555555555557,15.57
2023-08-29,15.639333333333331,15.53
2023-08-30,15.588666666666667,15.47
2023-08-31,15.502222222222223,15.49
2023-09-01,15.790444444444445,15.95
2023-09-04,16.817111111111114,17.07
2023-09-05,17.43888888888889,16.99
2023-09-06,17.17888888888889,16.78
2023-09-07,16.817333333333334,16.75
2023-09-08,16.575333333333333,16.56
2023-09-11,16.569555555555553,16.7
2023-09-12,16.62533333333333,16.62
2023-09-13,16.534222222222223,16.5
2023-09-14,16.48466666666667,16.54
2023-09-15,16.406222222222222,16.38
2023-09-18,16.29288888888889,16.32
2023-09-19,16.24977777777778,16.3
2023-09-20,16.095111111111116,16.05
2023-09-21,15.941111111111118,16.01
2023-09-22,16.17577777777778,16.38
2023-09-25,16.253111111111107,16.1
2023-09-26,16.154,16.16
2023-09-27,16.048222222222222,16.02
2023-09-28,15.889111111111111,15.89
2023-10-09,15.811777777777777,15.88
2023-10-10,15.441777777777778,15.3
2023-10-11,15.065111111111113,15.21
2023-10-12,15.167333333333332,15.42
2023-10-13,15.320666666666666,15.32
2023-10-16,15.15311111111111,15.06
2023-10-17,14.998666666666665,15.08
2023-10-18,14.896222222222221,14.91
2023-10-19,14.645555555555555,14.62
2023-10-20,14.380444444444445,14.45
2023-10-23,14.168888888888889,14.24
2023-10-24,14.12933333333333,14.28
2023-10-25,14.422666666666665,14.6
2023-10-26,14.68222222222222,14.62
2023-10-27,14.903777777777776,14.91
2023-10-30,15.109111111111112,15.03
2023-10-31,14.775333333333334,14.47
2023-11-01,14.211999999999998,14.21
2023-11-02,13.897777777777776,14.04
2023-11-03,13.99911111111111,14.24
2023-11-06,14.366666666666665,14.48
2023-11-07,14.506,14.38
2023-11-08,14.422444444444446,14.36
2023-11-09,14.319111111111113,14.3
2023-11-10,14.186222222222222,14.17
2023-11-13,14.161555555555557,14.24
2023-11-14,14.216888888888889,14.24
2023-11-15,14.309555555555557,14.34
2023-11-16,14.258222222222223,14.17
2023-11-17,14.179555555555558,14.21
2023-11-20,14.173111111111112,14.19
2023-11-21,14.245333333333333,14.29
2023-11-22,14.191999999999998,14.11
2023-11-23,14.127333333333333,14.17
2023-11-24,14.095333333333334,14.09
2023-11-27,13.893555555555556,13.83
2023-11-28,13.768666666666668,13.87
2023-11-29,13.67711111111111,13.68
2023-11-30,13.589333333333336,13.65
2023-12-01,13.63666666666667,13.72
2023-12-04,13.57711111111111,13.52
2023-12-05,13.32444444444444,13.29
2023-12-06,13.18911111111111,13.3
2023-12-07,13.107333333333335,13.13
2023-12-08,12.963999999999999,12.99
2023-12-11,12.956666666666669,13.07
2023-12-12,13.068666666666667,13.12
2023-12-13,12.955333333333334,12.85
2023-12-14,12.743777777777778,12.77

Answer: 51.0