Question: During April 12, 2023 to December 25, 2023, what percentage of trading days showed long alignment of PPL Corporation's 10, 20, 30-day Triple Exponential Moving Average lines? (Smoothing factor alpha = 2 / (n + 1); Require 6n data points to warm up; Use the first data point as the initial value) Using unadjusted prices, write down the indicator formula, collect the raw data, calculate the answer, and keep four decimal places. Please list the raw data and key calculation process.
Formula: TEMA = 3 * EMA1 - 3 * EMA2 + EMA3; EMA1 = EMA_n(P); EMA2 = EMA_n(EMA1); EMA3 = EMA_n(EMA2)
Data:
date,close,open
2022-07-25,27.850000381469727,27.290000915527344
2022-07-26,28.040000915527344,27.850000381469727
2022-07-27,28.07999992370605,27.959999084472656
2022-07-28,28.790000915527344,28.299999237060547
2022-07-29,29.07999992370605,28.71999931335449
2022-08-01,29.0,29.040000915527344
2022-08-02,29.100000381469727,29.06999969482422
2022-08-03,28.989999771118164,29.170000076293945
2022-08-04,28.600000381469727,29.030000686645508
2022-08-05,28.06999969482422,28.56999969482422
2022-08-08,28.149999618530277,28.200000762939453
2022-08-09,28.479999542236328,28.270000457763672
2022-08-10,29.0,28.709999084472656
2022-08-11,29.43000030517578,29.049999237060547
2022-08-12,30.290000915527344,29.6200008392334
2022-08-15,30.600000381469727,30.450000762939453
2022-08-16,30.90999984741211,30.520000457763672
2022-08-17,30.82999992370605,30.71999931335449
2022-08-18,30.90999984741211,30.799999237060547
2022-08-19,30.809999465942383,30.920000076293945
2022-08-22,30.229999542236328,30.61000061035156
2022-08-23,30.229999542236328,30.25
2022-08-24,30.21999931335449,30.229999542236328
2022-08-25,30.34000015258789,30.21999931335449
2022-08-26,29.790000915527344,30.40999984741211
2022-08-29,29.8799991607666,29.670000076293945
2022-08-30,29.350000381469727,29.850000381469727
2022-08-31,29.07999992370605,29.3700008392334
2022-09-01,29.280000686645508,29.059999465942383
2022-09-02,28.940000534057617,29.32999992370605
2022-09-06,28.81999969482422,29.01000022888184
2022-09-07,29.59000015258789,28.96999931335449
2022-09-08,29.6200008392334,29.26000022888184
2022-09-09,29.850000381469727,29.790000915527344
2022-09-12,30.15999984741211,29.86000061035156
2022-09-13,29.420000076293945,29.850000381469727
2022-09-14,29.6200008392334,29.450000762939453
2022-09-15,28.8799991607666,29.399999618530277
2022-09-16,28.920000076293945,28.8799991607666
2022-09-19,29.350000381469727,28.84000015258789
2022-09-20,28.899999618530277,29.25
2022-09-21,28.43000030517578,29.020000457763672
2022-09-22,28.3799991607666,28.459999084472656
2022-09-23,28.149999618530277,28.15999984741211
2022-09-26,27.5,28.06999969482422
2022-09-27,27.11000061035156,27.6299991607666
2022-09-28,27.36000061035156,27.440000534057617
2022-09-29,25.950000762939453,27.280000686645508
2022-09-30,25.350000381469727,26.049999237060547
2022-10-03,26.059999465942383,25.93000030517578
2022-10-04,26.65999984741211,26.13999938964844
2022-10-05,26.1200008392334,26.309999465942383
2022-10-06,25.440000534057617,26.149999618530277
2022-10-07,24.68000030517578,25.25
2022-10-10,24.8700008392334,24.780000686645508
2022-10-11,24.739999771118164,24.75
2022-10-12,23.979999542236328,24.68000030517578
2022-10-13,24.670000076293945,23.59000015258789
2022-10-14,24.5,24.8700008392334
2022-10-17,24.88999938964844,24.8799991607666
2022-10-18,25.38999938964844,25.299999237060547
2022-10-19,25.32999992370605,25.11000061035156
2022-10-20,24.989999771118164,25.350000381469727
2022-10-21,25.690000534057617,25.149999618530277
2022-10-24,25.459999084472656,25.8799991607666
2022-10-25,25.959999084472656,25.530000686645508
2022-10-26,25.700000762939453,26.100000381469727
2022-10-27,25.90999984741211,25.8799991607666
2022-10-28,26.51000022888184,25.93000030517578
2022-10-31,26.489999771118164,26.46999931335449
2022-11-01,26.56999969482422,26.6200008392334
2022-11-02,26.1200008392334,26.399999618530277
2022-11-03,26.57999992370605,25.959999084472656
2022-11-04,27.0,26.709999084472656
2022-11-07,26.780000686645508,26.979999542236328
2022-11-08,27.100000381469727,26.8700008392334
2022-11-09,26.68000030517578,27.020000457763672
2022-11-10,27.729999542236328,27.38999938964844
2022-11-11,27.40999984741211,27.739999771118164
2022-11-14,27.100000381469727,27.299999237060547
2022-11-15,27.489999771118164,27.34000015258789
2022-11-16,27.899999618530277,27.479999542236328
2022-11-17,27.670000076293945,27.61000061035156
2022-11-18,28.09000015258789,27.979999542236328
2022-11-21,28.21999931335449,28.01000022888184
2022-11-22,28.739999771118164,28.3700008392334
2022-11-23,29.11000061035156,28.65999984741211
2022-11-25,29.229999542236328,29.149999618530277
2022-11-28,29.100000381469727,29.040000915527344
2022-11-29,29.020000457763672,28.950000762939453
2022-11-30,29.520000457763672,28.920000076293945
2022-12-01,29.290000915527344,29.65999984741211
2022-12-02,29.18000030517578,29.0
2022-12-05,29.07999992370605,28.950000762939453
2022-12-06,29.299999237060547,29.07999992370605
2022-12-07,28.979999542236328,29.25
2022-12-08,29.059999465942383,28.75
2022-12-09,28.950000762939453,28.96999931335449
2022-12-12,29.450000762939453,29.09000015258789
2022-12-13,29.34000015258789,29.790000915527344
2022-12-14,29.420000076293945,29.420000076293945
2022-12-15,29.36000061035156,29.51000022888184
2022-12-16,29.1299991607666,29.07999992370605
2022-12-19,29.11000061035156,29.209999084472656
2022-12-20,29.15999984741211,29.1200008392334
2022-12-21,29.399999618530277,29.26000022888184
2022-12-22,29.18000030517578,29.290000915527344
2022-12-23,29.540000915527344,29.100000381469727
2022-12-27,29.690000534057617,29.6200008392334
2022-12-28,29.440000534057617,29.729999542236328
2022-12-29,29.65999984741211,29.600000381469727
2022-12-30,29.21999931335449,29.6299991607666
2023-01-03,29.200000762939453,29.309999465942383
2023-01-04,29.93000030517578,29.350000381469727
2023-01-05,29.239999771118164,29.71999931335449
2023-01-06,29.959999084472656,29.56999969482422
2023-01-09,30.170000076293945,29.90999984741211
2023-01-10,30.170000076293945,30.11000061035156
2023-01-11,30.799999237060547,30.100000381469727
2023-01-12,30.71999931335449,30.84000015258789
2023-01-13,30.61000061035156,30.450000762939453
2023-01-17,30.59000015258789,30.649999618530277
2023-01-18,29.709999084472656,30.6299991607666
2023-01-19,29.149999618530277,29.63999938964844
2023-01-20,29.31999969482422,29.15999984741211
2023-01-23,29.31999969482422,29.229999542236328
2023-01-24,29.489999771118164,29.18000030517578
2023-01-25,29.5,29.200000762939453
2023-01-26,29.68000030517578,29.450000762939453
2023-01-27,29.6299991607666,29.6299991607666
2023-01-30,29.450000762939453,29.489999771118164
2023-01-31,29.600000381469727,29.51000022888184
2023-02-01,29.61000061035156,29.459999084472656
2023-02-02,29.38999938964844,29.700000762939453
2023-02-03,28.65999984741211,29.15999984741211
2023-02-06,28.84000015258789,28.59000015258789
2023-02-07,28.75,28.700000762939453
2023-02-08,28.3700008392334,28.649999618530277
2023-02-09,28.059999465942383,28.440000534057617
2023-02-10,28.65999984741211,28.11000061035156
2023-02-13,28.809999465942383,28.63999938964844
2023-02-14,28.540000915527344,28.75
2023-02-15,28.68000030517578,28.420000076293945
2023-02-16,28.450000762939453,28.520000457763672
2023-02-17,28.809999465942383,28.43000030517578
2023-02-21,27.81999969482422,28.209999084472656
2023-02-22,27.709999084472656,28.01000022888184
2023-02-23,27.86000061035156,27.709999084472656
2023-02-24,27.690000534057617,27.76000022888184
2023-02-27,27.549999237060547,27.700000762939453
2023-02-28,27.06999969482422,27.530000686645508
2023-03-01,26.68000030517578,26.809999465942383
2023-03-02,27.1200008392334,26.68000030517578
2023-03-03,27.38999938964844,27.34000015258789
2023-03-06,27.479999542236328,27.38999938964844
2023-03-07,26.8799991607666,27.5
2023-03-08,27.0,26.93000030517578
2023-03-09,26.57999992370605,26.82999992370605
2023-03-10,26.25,26.63999938964844
2023-03-13,26.76000022888184,26.020000457763672
2023-03-14,26.989999771118164,27.01000022888184
2023-03-15,27.239999771118164,26.81999969482422
2023-03-16,27.200000762939453,27.09000015258789
2023-03-17,26.82999992370605,27.020000457763672
2023-03-20,27.270000457763672,26.950000762939453
2023-03-21,26.780000686645508,27.3799991607666
2023-03-22,26.26000022888184,26.700000762939453
2023-03-23,25.90999984741211,26.31999969482422
2023-03-24,26.780000686645508,25.90999984741211
2023-03-27,26.959999084472656,26.8700008392334
2023-03-28,27.09000015258789,27.020000457763672
2023-03-29,27.530000686645508,27.280000686645508
2023-03-30,27.549999237060547,27.63999938964844
2023-03-31,27.790000915527344,27.600000381469727
2023-04-03,27.57999992370605,27.670000076293945
2023-04-04,27.549999237060547,27.559999465942383
2023-04-05,28.3799991607666,27.649999618530277
2023-04-06,28.549999237060547,28.51000022888184
2023-04-10,28.63999938964844,28.440000534057617
2023-04-11,28.82999992370605,28.670000076293945
2023-04-12,28.65999984741211,28.989999771118164
2023-04-13,28.76000022888184,28.530000686645508
2023-04-14,28.56999969482422,28.57999992370605
2023-04-17,28.71999931335449,28.670000076293945
2023-04-18,28.489999771118164,28.61000061035156
2023-04-19,28.700000762939453,28.56999969482422
2023-04-20,28.600000381469727,28.75
2023-04-21,28.690000534057617,28.799999237060547
2023-04-24,28.670000076293945,28.770000457763672
2023-04-25,28.700000762939453,28.63999938964844
2023-04-26,28.32999992370605,28.479999542236328
2023-04-27,28.770000457763672,28.350000381469727
2023-04-28,28.71999931335449,28.729999542236328
2023-05-01,28.770000457763672,28.71999931335449
2023-05-02,28.5,28.75
2023-05-03,28.489999771118164,28.63999938964844
2023-05-04,28.700000762939453,28.709999084472656
2023-05-05,28.75,28.6200008392334
2023-05-08,28.59000015258789,28.68000030517578
2023-05-09,28.540000915527344,28.489999771118164
2023-05-10,28.76000022888184,28.739999771118164
2023-05-11,28.38999938964844,28.700000762939453
2023-05-12,28.450000762939453,28.549999237060547
2023-05-15,28.13999938964844,28.479999542236328
2023-05-16,27.56999969482422,28.15999984741211
2023-05-17,27.600000381469727,27.670000076293945
2023-05-18,27.21999931335449,27.32999992370605
2023-05-19,27.059999465942383,27.36000061035156
2023-05-22,27.030000686645508,27.1200008392334
2023-05-23,26.780000686645508,26.989999771118164
2023-05-24,26.440000534057617,26.780000686645508
2023-05-25,26.0,26.31999969482422
2023-05-26,26.01000022888184,25.989999771118164
2023-05-30,26.09000015258789,26.030000686645508
2023-05-31,26.200000762939453,26.07999992370605
2023-06-01,26.100000381469727,26.290000915527344
2023-06-02,26.520000457763672,26.020000457763672
2023-06-05,26.6299991607666,26.520000457763672
2023-06-06,26.59000015258789,26.770000457763672
2023-06-07,27.0,26.670000076293945
2023-06-08,26.84000015258789,26.700000762939453
2023-06-09,26.81999969482422,26.850000381469727
2023-06-12,26.809999465942383,26.850000381469727
2023-06-13,26.899999618530277,26.6200008392334
2023-06-14,26.86000061035156,27.0
2023-06-15,27.01000022888184,26.96999931335449
2023-06-16,26.989999771118164,26.96999931335449
2023-06-20,26.700000762939453,26.90999984741211
2023-06-21,26.88999938964844,26.57999992370605
2023-06-22,26.71999931335449,26.959999084472656
2023-06-23,26.3799991607666,26.76000022888184
2023-06-26,26.530000686645508,26.51000022888184
2023-06-27,26.6299991607666,26.540000915527344
2023-06-28,26.200000762939453,26.6200008392334
2023-06-29,26.18000030517578,26.059999465942383
2023-06-30,26.459999084472656,26.170000076293945
2023-07-03,26.670000076293945,26.3700008392334
2023-07-05,26.71999931335449,26.530000686645508
2023-07-06,26.559999465942383,26.520000457763672
2023-07-07,26.209999084472656,26.43000030517578
2023-07-10,25.959999084472656,26.13999938964844
2023-07-11,26.299999237060547,25.940000534057617
2023-07-12,26.690000534057617,26.479999542236328
2023-07-13,26.850000381469727,26.6299991607666
2023-07-14,26.76000022888184,26.729999542236328
2023-07-17,26.450000762939453,26.71999931335449
2023-07-18,26.31999969482422,26.479999542236328
2023-07-19,27.0,26.3700008392334
2023-07-20,27.38999938964844,27.11000061035156
2023-07-21,27.88999938964844,27.5
2023-07-24,27.799999237060547,27.93000030517578
2023-07-25,27.96999931335449,27.799999237060547
2023-07-26,28.059999465942383,27.920000076293945
2023-07-27,27.489999771118164,27.96999931335449
2023-07-28,27.459999084472656,27.670000076293945
2023-07-31,27.530000686645508,27.57999992370605
2023-08-01,27.32999992370605,27.5
2023-08-02,27.32999992370605,27.15999984741211
2023-08-03,26.6299991607666,27.299999237060547
2023-08-04,26.07999992370605,26.63999938964844
2023-08-07,26.11000061035156,26.13999938964844
2023-08-08,26.100000381469727,26.09000015258789
2023-08-09,26.229999542236328,26.11000061035156
2023-08-10,26.100000381469727,26.350000381469727
2023-08-11,26.18000030517578,26.190000534057617
2023-08-14,26.020000457763672,26.100000381469727
2023-08-15,25.479999542236328,25.809999465942383
2023-08-16,25.36000061035156,25.549999237060547
2023-08-17,25.149999618530277,25.350000381469727
2023-08-18,25.299999237060547,25.11000061035156
2023-08-21,25.21999931335449,25.200000762939453
2023-08-22,25.299999237060547,25.200000762939453
2023-08-23,25.209999084472656,25.399999618530277
2023-08-24,25.040000915527344,25.239999771118164
2023-08-25,25.270000457763672,25.059999465942383
2023-08-28,25.270000457763672,25.270000457763672
2023-08-29,25.270000457763672,25.270000457763672
2023-08-30,25.229999542236328,25.25
2023-08-31,24.920000076293945,25.31999969482422
2023-09-01,24.76000022888184,25.1200008392334
2023-09-05,24.290000915527344,24.700000762939453
2023-09-06,24.399999618530277,24.40999984741211
2023-09-07,24.520000457763672,24.34000015258789
2023-09-08,24.75,24.559999465942383
2023-09-11,25.030000686645508,24.71999931335449
2023-09-12,25.06999969482422,25.030000686645508
2023-09-13,25.3700008392334,25.1299991607666
2023-09-14,25.68000030517578,25.51000022888184
2023-09-15,25.65999984741211,25.600000381469727
2023-09-18,25.670000076293945,25.690000534057617
2023-09-19,25.51000022888184,25.71999931335449
2023-09-20,25.670000076293945,25.6299991607666
2023-09-21,25.25,25.57999992370605
2023-09-22,25.1299991607666,25.15999984741211
2023-09-25,25.0,24.96999931335449
2023-09-26,24.270000457763672,24.8700008392334
2023-09-27,23.940000534057617,24.18000030517578
2023-09-28,23.3799991607666,24.07999992370605
2023-09-29,23.559999465942383,23.59000015258789
2023-10-02,22.549999237060547,23.450000762939453
2023-10-03,22.979999542236328,22.38999938964844
2023-10-04,22.90999984741211,22.649999618530277
2023-10-05,22.959999084472656,22.8799991607666
2023-10-06,23.440000534057617,22.68000030517578
2023-10-09,23.75,23.440000534057617
2023-10-10,23.86000061035156,23.770000457763672
2023-10-11,24.11000061035156,23.950000762939453
2023-10-12,23.649999618530277,24.040000915527344
2023-10-13,23.88999938964844,23.86000061035156
2023-10-16,24.18000030517578,23.96999931335449
2023-10-17,24.209999084472656,23.989999771118164
2023-10-18,24.06999969482422,24.170000076293945
2023-10-19,23.81999969482422,24.040000915527344
2023-10-20,23.76000022888184,23.82999992370605
2023-10-23,23.68000030517578,23.479999542236328
2023-10-24,24.13999938964844,23.8799991607666
2023-10-25,24.3799991607666,24.1200008392334
2023-10-26,24.739999771118164,24.450000762939453
2023-10-27,24.280000686645508,24.649999618530277
2023-10-30,24.38999938964844,24.299999237060547
2023-10-31,24.56999969482422,24.43000030517578
2023-11-01,24.700000762939453,24.63999938964844
2023-11-02,25.07999992370605,24.8700008392334
2023-11-03,25.3700008392334,25.530000686645508
2023-11-06,25.149999618530277,25.34000015258789
2023-11-07,25.93000030517578,25.21999931335449
2023-11-08,25.649999618530277,25.729999542236328
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2023-11-14,25.739999771118164,25.38999938964844
2023-11-15,25.799999237060547,25.649999618530277
2023-11-16,26.020000457763672,25.989999771118164
2023-11-17,26.09000015258789,26.170000076293945
2023-11-20,26.170000076293945,26.0
2023-11-21,26.309999465942383,26.239999771118164
2023-11-22,26.239999771118164,26.420000076293945
2023-11-24,26.309999465942383,26.13999938964844
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2023-12-21,26.38999938964844,26.559999465942383
2023-12-22,26.81999969482422,26.489999771118164

Indicator data:
date,10-day,20-day,30-day
2022-11-25,29.188219577181766,29.08139254245927,28.506373441854556
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2023-09-11,24.71651178107131,24.48382234053605,24.472773753754883
2023-09-12,24.87385304965997,24.574878370540382,24.510939429476235
2023-09-13,25.116627530710534,24.732445766171093,24.60245557887591
2023-09-14,25.417227016167935,24.946047308270828,24.74215865237241
2023-09-15,25.60264021927365,25.11864895056403,24.86375892814041
2023-09-18,25.720976417037836,25.26422543878217,24.97450071113128
2023-09-19,25.715936231677148,25.342589367323992,25.044509783208657
2023-09-20,25.77331199234635,25.448241251369012,25.136574140882317
2023-09-21,25.61086744446449,25.425247034561952,25.142478222445003
2023-09-22,25.43909694235665,25.374514906358662,25.127183660073406
2023-09-25,25.260350398510987,25.298669524256496,25.091470932135266
2023-09-26,24.809091555024015,25.046965987231378,24.929093156422763
2023-09-27,24.3619586725316,24.75590324684026,24.72859037646941
2023-09-28,23.82073015594923,24.374337898225953,24.453410403370338
2023-09-29,23.5583760149084,24.1122694754459,24.247587057945307
2023-10-02,22.949098659469733,23.640845496161408,23.887187109728874
2023-10-03,22.763785728905603,23.373187930413767,23.653233367299446
2023-10-04,22.63946161245567,23.144201737183277,23.439885790600858
2023-10-05,22.609176670515215,22.978829794788368,23.266737964311854
2023-10-06,22.83398972574446,22.97757321937692,23.207056960496416
2023-10-09,23.147514415831466,23.06643637723907,23.215953114872022
2023-10-10,23.422483455594016,23.176397761759613,23.24846712857492
2023-10-11,23.727908064784266,23.338887960735423,23.32679263468406
2023-10-12,23.7263522072088,23.359027870350772,23.316140023714507
2023-10-13,23.8328513779845,23.443311578595154,23.354294759834385
2023-10-16,24.03312670077773,23.59242495501726,23.444029202569045
2023-10-17,24.175869857081416,23.72621510768769,23.531435041290603
2023-10-18,24.200592606931593,23.802337396647797,23.585604975452792
2023-10-19,24.09578135586895,23.80194216471166,23.590429036870244
2023-10-20,23.991647705611836,23.787810332187828,23.586324414927148
2023-10-23,23.88129322964486,23.757124381826554,23.570662165201476
2023-10-24,24.013204122308686,23.852912660282414,23.6427165463836
2023-10-25,24.20765780947363,23.994840538007686,23.751458893649012
2023-10-26,24.495647393677473,24.204897101949403,23.91373362664744
2023-10-27,24.47173310914338,24.257014243376986,23.973727924135012
2023-10-30,24.495633288604413,24.32696451823788,24.04721431804063
2023-10-31,24.584251774827035,24.429353732592485,24.144968042921718
2023-11-01,24.693581289807984,24.54489939913357,24.254619323855284
2023-11-02,24.929166588177022,24.735532832630522,24.419705694809853
2023-11-03,25.20669042687532,24.963559339969315,24.616601242923444
2023-11-06,25.27858371268131,25.088932943148983,24.74837427716988
2023-11-07,25.663931573736818,25.388897668971005,25.00406791430846
2023-11-08,25.777525743023446,25.555940952119755,25.17551573674364
2023-11-09,25.630320099170614,25.569135440900435,25.24190092007229
2023-11-10,25.578147748032965,25.60928816289549,25.32307680853001
2023-11-13,25.3536288502539,25.5342545079583,25.320964242582328
2023-11-14,25.551569487587507,25.67143193701316,25.459900107821685
2023-11-15,25.703454144423112,25.793137101733265,25.589792702853728
2023-11-16,25.895053245421295,25.94331568250287,25.740516181724818
2023-11-17,26.043786181731242,26.07752267454001,25.88199643054162
2023-11-20,26.166979944099523,26.200868887000485,26.016924534454958
2023-11-21,26.299576633940813,26.33060187793472,26.156753011808277
2023-11-22,26.343050394487513,26.410842067168122,26.26255735334598
2023-11-24,26.39052242047574,26.486761346787425,26.363786331749548
2023-11-27,26.378343153366426,26.52286562046383,26.435495886359366
2023-11-28,26.427125477014748,26.583593991057896,26.52118532086964
2023-11-29,26.28722726543145,26.532390601597605,26.526574976790112
2023-11-30,26.226789407902864,26.506698765490206,26.54332415967435
2023-12-01,26.344459909562772,26.572544559062806,26.619093530907797
2023-12-04,26.364517192637596,26.589106475026668,26.6595021905232
2023-12-05,26.219372804183152,26.508428108552724,26.629072002664333
2023-12-06,26.259554865315174,26.517288736111745,26.654649663096787
2023-12-07,26.17642048802735,26.457325289382013,26.62965958489083
2023-12-08,26.10653480861831,26.395950148635098,26.59863606539505
2023-12-11,26.182789900138708,26.411849244505564,26.616939913835154
2023-12-12,26.16237225008478,26.37985679332567,26.600585375548665
2023-12-13,26.646774432408932,26.63575375250195,26.782500631163074
2023-12-14,26.863519892746872,26.7819709827283,26.896666590647996
2023-12-15,26.93649872738211,26.86093409410768,26.967613346127255
2023-12-18,26.939092339210248,26.90010282273056,27.011518909149746
2023-12-19,26.958541859276483,26.94300378714181,27.05714064662302
2023-12-20,26.75057150263532,26.851585946537554,27.00818696576079
2023-12-21,26.59668851543474,26.767373229695963,26.958213386204378
2023-12-22,26.686387054920992,26.806522663690185,26.989209043381692

Answer: 30.2583