Question: 在2020年09月07日至2021年02月16日，宝信软件5、10、20日指数移动平均线多头排列的天数占总天数的百分比？（平滑系数 alpha 取 2 / (n + 1)；从前 4n 个数据开始计算；初始值用首个数据点）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: EMA_t = \alpha * P_t + (1 - \alpha) * EMA_{t-1}，\alpha = 2 / (n + 1)
Data:
date,close,low,high,open
2020-05-14,54.0,54.0,55.15,54.87
2020-05-15,55.7,54.13,56.52,54.13
2020-05-18,55.8,54.01,57.25,55.88
2020-05-19,56.92,55.33,57.55,55.85
2020-05-20,54.95,54.56,57.36,56.78
2020-05-21,54.91,54.82,56.4,55.36
2020-05-22,54.07,53.61,55.93,55.15
2020-05-25,54.36,53.8,56.3,54.35
2020-05-26,56.66,54.45,57.4,55.06
2020-05-27,54.51,54.31,57.13,56.67
2020-05-28,55.79,54.76,56.65,55.41
2020-05-29,56.59,55.05,56.59,55.56
2020-06-01,57.35,56.35,58.29,56.58
2020-06-02,54.45,54.1,57.6,57.43
2020-06-03,55.66,53.81,55.8,54.9
2020-06-04,55.31,55.01,56.19,55.2
2020-06-05,55.63,54.92,56.49,55.67
2020-06-08,53.84,53.55,56.42,56.4
2020-06-09,55.35,52.6,56.09,54.03
2020-06-10,54.97,54.61,55.98,55.41
2020-06-11,55.13,54.6,56.22,55.59
2020-06-12,54.05,53.0,54.55,53.8
2020-06-15,52.56,52.56,54.73,53.89
2020-06-16,54.53,53.0,55.18,53.17
2020-06-17,53.67,53.24,55.25,55.0
2020-06-18,53.55,52.36,54.35,53.95
2020-06-19,55.2,53.71,55.99,53.8
2020-06-22,55.9,55.01,56.73,55.68
2020-06-23,60.41,55.66,60.78,55.92
2020-06-24,58.58,58.12,60.68,60.0
2020-06-29,57.93,57.5,58.77,58.25
2020-06-30,59.08,58.26,59.32,58.58
2020-07-01,57.21,56.01,59.6,59.28
2020-07-02,56.35,56.07,57.48,56.99
2020-07-03,56.07,54.79,56.66,56.39
2020-07-06,57.8,55.58,58.06,56.58
2020-07-07,60.09,57.17,61.47,57.95
2020-07-08,66.1,63.0,66.1,65.68
2020-07-09,68.3,66.92,69.3,67.3
2020-07-10,72.01,67.01,74.27,67.66
2020-07-13,72.74,70.01,73.39,70.96
2020-07-14,71.95,70.68,72.5,71.9
2020-07-15,70.07,69.15,72.66,71.58
2020-07-16,67.8,67.16,72.99,70.83
2020-07-17,69.63,68.61,71.43,69.3
2020-07-20,70.21,65.48,71.15,70.5
2020-07-21,71.0,69.0,71.81,69.88
2020-07-22,71.78,70.27,73.75,70.27
2020-07-23,72.38,70.1,72.9,71.2
2020-07-24,70.49,69.7,73.88,72.38
2020-07-27,68.8,68.0,72.38,70.51
2020-07-28,70.2,69.01,71.69,69.01
2020-07-29,73.39,70.53,73.45,70.99
2020-07-30,70.15,69.5,74.34,74.3
2020-07-31,71.25,69.7,72.68,70.0
2020-08-03,71.8,71.03,72.7,71.67
2020-08-04,70.93,70.35,73.2,71.99
2020-08-05,78.02,71.38,78.02,72.5
2020-08-06,73.98,73.0,76.98,76.8
2020-08-07,72.15,71.48,74.56,73.0
2020-08-10,69.78,68.58,71.34,71.34
2020-08-11,68.28,68.06,70.7,70.0
2020-08-12,66.84,65.0,68.88,68.54
2020-08-13,66.67,66.0,68.44,67.09
2020-08-14,67.82,66.4,68.46,66.49
2020-08-17,67.4,66.01,68.38,68.24
2020-08-18,68.24,67.06,68.41,67.87
2020-08-19,66.69,66.5,68.89,68.0
2020-08-20,67.0,65.66,67.68,66.95
2020-08-21,66.41,66.0,68.5,68.5
2020-08-24,69.88,66.9,70.69,66.93
2020-08-25,68.75,68.61,70.27,70.05
2020-08-26,69.39,68.08,69.98,68.3
2020-08-27,70.93,68.0,71.89,69.12
2020-08-28,71.82,70.01,71.85,70.93
2020-08-31,69.52,69.51,72.48,72.29
2020-09-01,69.6,68.38,69.95,69.34
2020-09-02,71.36,69.06,71.85,69.8
2020-09-03,71.6,71.03,72.48,71.79
2020-09-04,69.79,69.18,72.01,70.69
2020-09-07,69.16,68.7,71.5,70.12
2020-09-08,67.1,66.68,69.42,69.21
2020-09-09,67.2,63.82,68.09,66.5
2020-09-10,66.1,65.83,69.1,67.0
2020-09-11,68.62,66.0,68.8,66.01
2020-09-14,70.4,68.66,71.73,68.66
2020-09-15,70.49,70.0,70.95,70.0
2020-09-16,70.15,69.59,71.3,70.1
2020-09-17,69.6,69.01,70.9,70.37
2020-09-18,69.7,68.97,70.59,69.75
2020-09-21,68.43,68.26,71.05,70.46
2020-09-22,67.42,67.42,69.09,68.25
2020-09-23,69.19,67.66,69.49,68.18
2020-09-24,69.14,68.74,70.18,68.74
2020-09-25,70.42,68.8,72.89,69.85
2020-09-28,71.24,70.23,72.17,71.0
2020-09-29,72.37,70.88,73.34,71.49
2020-09-30,72.34,71.57,73.4,72.72
2020-10-09,74.5,72.7,74.93,73.82
2020-10-12,74.65,74.05,75.4,75.31
2020-10-13,75.54,73.01,75.76,74.7
2020-10-14,68.9,68.0,73.94,73.8
2020-10-15,68.93,66.6,70.2,68.9
2020-10-16,70.24,68.3,71.11,68.63
2020-10-19,67.03,67.01,70.99,70.88
2020-10-20,68.29,67.0,68.33,67.38
2020-10-21,66.95,66.05,68.29,68.01
2020-10-22,66.1,65.5,67.09,66.78
2020-10-23,61.94,61.35,66.57,65.8
2020-10-26,62.09,61.4,63.94,61.97
2020-10-27,62.7,61.48,63.1,62.05
2020-10-28,64.82,62.12,65.65,63.13
2020-10-29,64.46,63.12,64.98,64.07
2020-10-30,63.53,63.21,65.39,64.97
2020-11-02,61.95,61.87,63.96,63.96
2020-11-03,62.33,61.38,63.07,62.79
2020-11-04,63.0,61.7,63.36,62.16
2020-11-05,65.25,63.16,65.7,63.78
2020-11-06,63.7,63.01,65.25,65.25
2020-11-09,65.23,63.71,66.5,64.05
2020-11-10,63.21,63.0,65.46,65.46
2020-11-11,61.63,61.48,64.14,62.75
2020-11-12,59.88,59.31,62.97,61.94
2020-11-13,60.91,58.61,60.98,59.57
2020-11-16,64.04,59.59,64.49,60.48
2020-11-17,61.1,60.0,64.3,64.17
2020-11-18,60.41,59.69,61.79,61.25
2020-11-19,62.72,60.0,63.21,61.32
2020-11-20,62.27,62.08,63.49,62.82
2020-11-23,62.12,61.21,62.74,62.74
2020-11-24,61.86,60.8,62.32,61.7
2020-11-25,60.15,60.08,62.21,62.21
2020-11-26,60.2,59.53,60.91,60.4
2020-11-27,59.98,59.62,60.97,60.24
2020-11-30,60.49,59.25,62.41,60.76
2020-12-01,60.41,59.75,61.18,60.87
2020-12-02,59.89,59.5,60.9,60.85
2020-12-03,62.12,59.33,62.35,60.0
2020-12-04,61.77,61.46,62.44,62.0
2020-12-07,63.98,61.83,64.46,62.1
2020-12-08,64.06,63.28,64.78,64.1
2020-12-09,62.43,62.26,64.85,63.96
2020-12-10,64.1,62.11,64.24,62.21
2020-12-11,63.18,62.91,64.68,64.1
2020-12-14,61.42,61.0,63.7,63.7
2020-12-15,63.69,61.01,64.04,61.6
2020-12-16,63.74,63.05,64.49,64.0
2020-12-17,63.1,62.63,64.46,63.35
2020-12-18,62.8,62.56,63.75,63.42
2020-12-21,64.35,62.41,64.75,62.85
2020-12-22,64.67,63.74,66.99,63.9
2020-12-23,65.67,64.01,65.85,65.15
2020-12-24,66.2,65.48,67.25,65.67
2020-12-25,63.35,63.09,66.25,65.67
2020-12-28,65.47,63.25,66.15,63.74
2020-12-29,65.37,64.3,65.83,64.9
2020-12-30,65.94,65.0,66.19,65.0
2020-12-31,68.98,65.48,69.5,65.48
2021-01-04,69.8,68.49,70.75,69.5
2021-01-05,69.45,68.19,70.28,69.61
2021-01-06,66.73,66.06,70.2,70.03
2021-01-07,63.98,62.5,67.4,67.12
2021-01-08,64.1,63.31,64.9,63.42
2021-01-11,61.92,61.3,64.7,64.69
2021-01-12,62.5,61.7,62.8,62.47
2021-01-13,60.5,60.06,62.98,62.5
2021-01-14,62.9,60.58,64.25,61.5
2021-01-15,61.29,61.06,63.0,63.0
2021-01-18,62.9,60.14,63.45,61.29
2021-01-19,63.48,62.52,64.19,62.73
2021-01-20,65.08,62.84,65.26,63.48
2021-01-21,66.08,64.7,66.79,65.67
2021-01-22,62.37,62.25,66.78,66.07
2021-01-25,64.8,62.26,65.38,62.37
2021-01-26,64.35,63.49,65.76,64.67
2021-01-27,66.5,63.88,66.66,64.04
2021-01-28,65.7,65.09,67.71,65.47
2021-01-29,66.58,64.8,67.02,65.25
2021-02-01,63.8,62.66,66.48,65.0
2021-02-02,67.64,63.51,67.68,63.51
2021-02-03,67.76,66.7,68.98,67.65
2021-02-04,66.19,65.02,68.0,67.42
2021-02-05,67.35,65.88,69.27,66.0
2021-02-08,66.63,65.61,68.6,68.01
2021-02-09,69.08,65.43,69.15,66.63
2021-02-10,66.6,66.51,68.65,68.6

Indicator data:
date,5日,10日,20日
2020-06-10,55.06595064804812,55.19103405822195,55.12234065753221
2020-06-11,55.08730043203209,55.17993695672705,55.123070118719625
2020-06-12,54.741533621354726,54.974493873685766,55.02087296455585
2020-06-15,54.01435574756982,54.53549498756108,54.78650411078863
2020-06-16,54.18623716504655,54.534495898913605,54.76207514785638
2020-06-17,54.01415811003104,54.37731482638385,54.65806799091767
2020-06-18,53.85943874002069,54.22689394885951,54.55253770606837
2020-06-19,54.30629249334713,54.403822321794145,54.61420078168091
2020-06-22,54.83752832889809,54.67585462692248,54.73665785009225
2020-06-23,56.69501888593206,55.718426512936574,55.27697615008346
2020-06-24,57.323345923954705,56.23871260149355,55.591549850075516
2020-06-29,57.525563949303134,56.546219401222,55.81425938816356
2020-06-30,58.04370929953542,57.00690678281799,56.125282303576554
2020-07-01,57.76580619969029,57.04383282230563,56.228588750854975
2020-07-02,57.29387079979353,56.91768140006825,56.24015172696402
2020-07-03,56.88591386652902,56.76355750914674,56.2239468005865
2020-07-06,57.190609244352686,56.95200159839278,56.374047105292554
2020-07-07,58.15707282956846,57.52254676232137,56.72794738097898
2020-07-08,60.804715219712314,59.08208371462657,57.62052382088575
2020-07-09,63.30314347980821,60.75806849378537,58.637616790325204
2020-07-10,66.20542898653882,62.80387422218803,59.911177096008515
2020-07-13,68.38361932435922,64.61044254542657,61.13296975353151
2020-07-14,69.57241288290615,65.94490753716718,62.16316311033804
2020-07-15,69.73827525527076,66.69492434859133,62.91619519506775
2020-07-16,69.09218350351385,66.895847194302,63.381319462204154
2020-07-17,69.27145566900924,67.39296588624708,63.97643189437519
2020-07-20,69.58430377933949,67.90515390692943,64.57010504729183
2020-07-21,70.05620251955966,68.46785319657862,65.1824759951688
2020-07-22,70.63080167970645,69.0700617062916,65.81081161467654
2020-07-23,71.21386778647097,69.67186866878403,66.43644860375497
2020-07-24,70.97257852431397,69.8206198199142,66.82250111768307
2020-07-27,70.24838568287598,69.63505257992979,67.0108343445704
2020-07-28,70.23225712191731,69.73777029266982,67.31456440699226
2020-07-29,71.28483808127821,70.40181205763895,67.89317732061204
2020-07-30,70.90655872085215,70.35602804715913,68.10811281388709
2020-07-31,71.02103914723477,70.5185684022211,68.40734016494547
2020-08-03,71.28069276482319,70.75155596545363,68.73045062542685
2020-08-04,71.1637951765488,70.78400033537116,68.93993151824334
2020-08-05,73.44919678436587,72.09963663803094,69.8046999450773
2020-08-06,73.62613118957725,72.44152088566167,70.20234756935565
2020-08-07,73.13408745971817,72.38851708826864,70.38783827703607
2020-08-10,72.01605830647878,71.91424125403798,70.32994891731835
2020-08-11,70.77070553765253,71.25347011694016,70.13471568709755
2020-08-12,69.46047035843503,70.45102100476922,69.8209332407073
2020-08-13,68.53031357229003,69.76356264026572,69.52084436063994
2020-08-14,68.29354238152669,69.41018761476286,69.35885918343614
2020-08-17,67.9956949210178,69.04469895753324,69.17230116596603
2020-08-18,68.0771299473452,68.89839005616355,69.08351057873118
2020-08-19,67.61475329823014,68.49686459140653,68.85555719028059
2020-08-20,67.40983553215344,68.22470739296898,68.67883745787292
2020-08-21,67.07655702143563,67.89476059424734,68.46275769998026
2020-08-24,68.01103801429042,68.2557132134751,68.59773315712499
2020-08-25,68.25735867619362,68.3455835382978,68.61223476120833
2020-08-26,68.63490578412909,68.53547744042547,68.68630764109325
2020-08-27,69.3999371894194,68.97084517852993,68.89999262765579
2020-08-28,70.20662479294627,69.48887332788811,69.17808856787904
2020-08-31,69.97774986196418,69.49453272281754,69.21065156141437
2020-09-01,69.85183324130946,69.51370859139617,69.24773236508919
2020-09-02,70.35455549420631,69.84939793841504,69.44890071127118
2020-09-03,70.7697036628042,70.16768922233958,69.65376731019774
2020-09-04,70.44313577520282,70.09901845464147,69.66674185208366
2020-09-07,70.01542385013522,69.92828782652484,69.61848072331378
2020-09-08,69.04361590009015,69.41405367624759,69.37862541633152
2020-09-09,68.42907726672676,69.0114984623844,69.1711372814428
2020-09-10,67.65271817781785,68.48213510558723,68.87864801654348
2020-09-11,67.97514545187857,68.50720145002592,68.85401487211077
2020-09-14,68.7834303012524,68.85134664093029,69.00125155095736
2020-09-15,69.35228686750159,69.1492836153066,69.14303711753286
2020-09-16,69.61819124500107,69.33123204888722,69.23893834443449
2020-09-17,69.61212749666738,69.38009894908953,69.27332516877406
2020-09-18,69.6414183311116,69.4382627765278,69.31396086698605
2020-09-21,69.23761222074107,69.25494227170455,69.22977411774929
2020-09-22,68.63174148049406,68.92131640412191,69.05741467796364
2020-09-23,68.8178276536627,68.97016796700883,69.07004185149091
2020-09-24,68.92521843577515,69.00104651846178,69.0767045323013
2020-09-25,69.42347895718343,69.25903806055963,69.2046374339869
2020-09-28,70.02898597145563,69.6192129586397,69.39848148789291
2020-09-29,70.80932398097042,70.11935605706884,69.68148325095072
2020-09-30,71.31954932064696,70.52310950123814,69.93467532228875
2020-10-09,72.37969954709797,71.24618050101301,70.36946814873744
2020-10-12,73.13646636473199,71.8650567735561,70.77713784885769
2020-10-13,73.93764424315466,72.53322826927318,71.2307437680141
2020-10-14,72.25842949543645,71.8726413112235,71.00876817106037
2020-10-15,71.14895299695763,71.33761561827377,70.810790250007
2020-10-16,70.84596866463842,71.13804914222399,70.75642927381585
2020-10-19,69.57397910975895,70.39113111636507,70.40153124773815
2020-10-20,69.14598607317265,70.00910727702596,70.20043303366785
2020-10-21,68.41399071544843,69.45290595393033,69.89086798284234
2020-10-22,67.64266047696563,68.84328668957936,69.52983293685735
2020-10-23,65.74177365131042,67.58814365511039,68.8069917047757
2020-10-26,64.5245157675403,66.58848117236305,68.16727820908277
2020-10-27,63.916343845026866,65.88148459556976,67.64658504631298
2020-10-28,64.21756256335124,65.68848739637525,67.37738647047365
2020-10-29,64.29837504223417,65.46512605157974,67.09954013995235
2020-10-30,64.04225002815612,65.11328495129251,66.75958393614737
2020-11-02,63.34483335210408,64.53814223287569,66.30152832318095
2020-11-03,63.00655556806939,64.13666182689829,65.92328753049705
2020-11-04,63.00437037871293,63.92999604018951,65.64487919425923
2020-11-05,63.75291358580862,64.16999676015504,65.60727165194882
2020-11-06,63.73527572387242,64.08454280376321,65.4256267327156
2020-11-09,64.23351714924829,64.29280774853353,65.40699561531412
2020-11-10,63.89234476616553,64.09593361243653,65.19775793766516
2020-11-11,63.138229844110356,63.64758204653897,64.85797146741133
2020-11-12,62.05215322940691,62.96256712898643,64.3838789467055
2020-11-13,61.67143548627128,62.58937310553435,64.05303333273353
2020-11-16,62.46095699084752,62.85312344998265,64.05179206294939
2020-11-17,62.00730466056502,62.53437373180398,63.77066900933516
2020-11-18,61.47486977371001,62.14812396238507,63.450605294160376
2020-11-19,61.88991318247334,62.2521014237696,63.38102383757368
2020-11-20,62.016608788315565,62.255355710356945,63.27521204351905
2020-11-23,62.05107252554371,62.230745581201134,63.16519184889819
2020-11-24,61.98738168369581,62.163337293710015,63.04088786328884
2020-11-25,61.374921122463874,61.797275967580916,62.76556520964228
2020-11-26,60.983280748309255,61.506862155293476,62.52122566586683
2020-11-27,60.64885383220617,61.22925085433102,62.27920417387951
2020-11-30,60.59590255480412,61.09484160808901,62.10880377636718
2020-12-01,60.53393503653608,60.97032495207282,61.94701294052268
2020-12-02,60.319290024357386,60.77390223351412,61.75110694618719
2020-12-03,60.91952668290492,61.018647281966096,61.78623961797889
2020-12-04,61.20301778860329,61.155256867063166,61.78469298769519
2020-12-07,62.12867852573552,61.66884652759713,61.99376984600993
2020-12-08,62.772452350490354,62.103601704397654,62.19055367019946
2020-12-09,62.65830156699357,62.162946849052624,62.21335808256142
2020-12-10,63.138867711329056,62.515138331043055,62.39303826517462
2020-12-11,63.15257847421937,62.6360222708534,62.46798700182465
2020-12-14,62.575052316146255,62.41492731251641,62.368178715936594
2020-12-15,62.94670154409751,62.6467587102407,62.49406645727596
2020-12-16,63.21113436273167,62.8455298538333,62.61272679467825
2020-12-17,63.17408957515445,62.89179715313634,62.659133766613664
2020-12-18,63.049393050102964,62.875106761656994,62.672549598364746
2020-12-21,63.48292870006864,63.14326916862845,62.832306779472866
2020-12-22,63.8786191333791,63.420856592514184,63.00732518142783
2020-12-23,64.47574608891941,63.8297917575116,63.26091325938709
2020-12-24,65.05049739261294,64.2607387106913,63.5408262823026
2020-12-25,64.48366492840863,64.09514985420196,63.52265235065474
2020-12-28,64.81244328560575,64.34512260798341,63.70811403154477
2020-12-29,64.99829552373717,64.53146395198642,63.866388885683364
2020-12-30,65.31219701582478,64.78756141526162,64.06387565847542
2020-12-31,66.53479801054985,65.54982297612314,64.53207797671587
2021-01-04,67.6231986736999,66.32258243500983,65.03378483607626
2021-01-05,68.23213244913327,66.89120381046259,65.45437675644996
2021-01-06,67.73142163275551,66.86189402674212,65.57586468440711
2021-01-07,66.48094775517035,66.33791329460718,65.42387757160643
2021-01-08,65.6872985034469,65.93101996831496,65.2977939933582
2021-01-11,64.43153233563126,65.20174361043951,64.97609932732408
2021-01-12,63.787688223754174,64.7105174994505,64.7402803437694
2021-01-13,62.69179214916945,63.94496886318677,64.33644412055327
2021-01-14,62.761194766112965,63.75497452442554,64.1996399185958
2021-01-15,62.27079651074198,63.30679733816635,63.92253135492002
2021-01-18,62.48053100716132,63.23283418577246,63.8251474163562
2021-01-19,62.81368733810755,63.277773424722916,63.79227623384609
2021-01-20,63.5691248920717,63.6054509838642,63.91491659252741
2021-01-21,64.40608326138113,64.05536898679797,64.12111501228671
2021-01-22,63.72738884092075,63.748938261925616,63.954342153973684
2021-01-25,64.08492589394717,63.940040396120956,64.03488099645239
2021-01-26,64.17328392929812,64.01457850591714,64.06489233012358
2021-01-27,64.94885595286542,64.46647332302311,64.29680734630229
2021-01-28,65.19923730191027,64.69075090065527,64.43044474189254
2021-01-29,65.65949153460686,65.03425073689976,64.63516429028374
2021-02-01,65.03966102307123,64.80984151200889,64.55562483406624
2021-02-02,65.9064406820475,65.32441578255272,64.84937484986945
2021-02-03,66.52429378803167,65.76724927663405,65.12657724511998
2021-02-04,66.41286252535446,65.84411304451876,65.2278556027276
2021-02-05,66.72524168356964,66.11791067278807,65.42996459294402
2021-02-08,66.6934944557131,66.21101782319023,65.5442536793303
2021-02-09,67.48899630380873,66.73265094624655,65.88099142415598
2021-02-10,67.19266420253916,66.70853259238353,65.94946843137922

Answer: 50.2994