Question: From July 22, 2024 to April 02, 2025, count the number of death cross occurrences between the 60-day and 5-day Double Exponential Moving Average lines for Align Technology. (Smoothing factor alpha = 2 / (n + 1); Require 5n 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: DEMA = 2 * EMA1 - EMA2; EMA1 = EMA_n(P); EMA2 = EMA_n(EMA1)
Data:
date,close
2023-05-10,305.260009765625
2023-05-11,296.0799865722656
2023-05-12,293.7099914550781
2023-05-15,297.2799987792969
2023-05-16,292.29998779296875
2023-05-17,291.3599853515625
2023-05-18,293.4200134277344
2023-05-19,290.989990234375
2023-05-22,300.8299865722656
2023-05-23,282.54998779296875
2023-05-24,281.2300109863281
2023-05-25,280.0799865722656
2023-05-26,285.3900146484375
2023-05-30,284.95001220703125
2023-05-31,282.6600036621094
2023-06-01,297.20001220703125
2023-06-02,302.0
2023-06-05,305.1499938964844
2023-06-06,304.67999267578125
2023-06-07,301.7300109863281
2023-06-08,306.760009765625
2023-06-09,304.44000244140625
2023-06-12,311.2900085449219
2023-06-13,322.0199890136719
2023-06-14,322.4599914550781
2023-06-15,333.19000244140625
2023-06-16,330.2900085449219
2023-06-20,331.42999267578125
2023-06-21,330.7099914550781
2023-06-22,334.3999938964844
2023-06-23,328.8299865722656
2023-06-26,331.4599914550781
2023-06-27,340.69000244140625
2023-06-28,345.07000732421875
2023-06-29,341.7900085449219
2023-06-30,353.6400146484375
2023-07-03,344.5899963378906
2023-07-05,336.82000732421875
2023-07-06,330.9200134277344
2023-07-07,329.5400085449219
2023-07-10,343.70001220703125
2023-07-11,350.1000061035156
2023-07-12,357.6000061035156
2023-07-13,367.55999755859375
2023-07-14,366.8800048828125
2023-07-17,370.3599853515625
2023-07-18,360.6199951171875
2023-07-19,342.5799865722656
2023-07-20,330.989990234375
2023-07-21,337.3699951171875
2023-07-24,337.010009765625
2023-07-25,332.1400146484375
2023-07-26,339.8500061035156
2023-07-27,385.30999755859375
2023-07-28,381.8999938964844
2023-07-31,377.8900146484375
2023-08-01,376.6199951171875
2023-08-02,367.3999938964844
2023-08-03,366.239990234375
2023-08-04,361.4400024414063
2023-08-07,361.25
2023-08-08,357.75
2023-08-09,352.79998779296875
2023-08-10,347.2300109863281
2023-08-11,352.8800048828125
2023-08-14,360.489990234375
2023-08-15,361.0499877929688
2023-08-16,358.5400085449219
2023-08-17,349.17999267578125
2023-08-18,350.3599853515625
2023-08-21,342.5899963378906
2023-08-22,351.6300048828125
2023-08-23,359.4800109863281
2023-08-24,350.7099914550781
2023-08-25,356.3500061035156
2023-08-28,358.6600036621094
2023-08-29,367.6199951171875
2023-08-30,370.8599853515625
2023-08-31,370.1400146484375
2023-09-01,374.8999938964844
2023-09-05,368.6300048828125
2023-09-06,369.7000122070313
2023-09-07,340.92999267578125
2023-09-08,332.260009765625
2023-09-11,335.17999267578125
2023-09-12,322.2900085449219
2023-09-13,322.4100036621094
2023-09-14,332.8399963378906
2023-09-15,332.0899963378906
2023-09-18,325.32000732421875
2023-09-19,318.0
2023-09-20,309.5
2023-09-21,300.2799987792969
2023-09-22,298.5599975585937
2023-09-25,298.0199890136719
2023-09-26,299.010009765625
2023-09-27,301.67999267578125
2023-09-28,307.510009765625
2023-09-29,305.32000732421875
2023-10-02,299.760009765625
2023-10-03,290.6099853515625
2023-10-04,291.70001220703125
2023-10-05,280.17999267578125
2023-10-06,284.6400146484375
2023-10-09,283.94000244140625
2023-10-10,286.510009765625
2023-10-11,277.5199890136719
2023-10-12,268.0
2023-10-13,265.989990234375
2023-10-16,272.3599853515625
2023-10-17,276.760009765625
2023-10-18,272.3999938964844
2023-10-19,270.2900085449219
2023-10-20,269.8800048828125
2023-10-23,265.7200012207031
2023-10-24,265.4599914550781
2023-10-25,253.69000244140625
2023-10-26,190.55999755859372
2023-10-27,190.94000244140625
2023-10-30,186.7400054931641
2023-10-31,184.58999633789065
2023-11-01,183.2100067138672
2023-11-02,192.32000732421875
2023-11-03,197.44000244140625
2023-11-06,197.7700042724609
2023-11-07,197.5200042724609
2023-11-08,193.6199951171875
2023-11-09,187.33999633789065
2023-11-10,192.1300048828125
2023-11-13,191.22000122070312
2023-11-14,202.72000122070312
2023-11-15,205.05999755859372
2023-11-16,203.1199951171875
2023-11-17,206.63999938964844
2023-11-20,215.2400054931641
2023-11-21,215.3000030517578
2023-11-22,217.2899932861328
2023-11-24,219.47999572753903
2023-11-27,216.75
2023-11-28,214.13999938964844
2023-11-29,216.47999572753903
2023-11-30,213.8000030517578
2023-12-01,220.4499969482422
2023-12-04,219.6000061035156
2023-12-05,215.3500061035156
2023-12-06,216.8699951171875
2023-12-07,216.6100006103516
2023-12-08,221.22999572753903
2023-12-11,218.67999267578125
2023-12-12,217.47000122070312
2023-12-13,231.3600006103516
2023-12-14,257.0199890136719
2023-12-15,255.00999450683597
2023-12-18,261.69000244140625
2023-12-19,268.3099975585937
2023-12-20,262.0799865722656
2023-12-21,274.1000061035156
2023-12-22,271.8699951171875
2023-12-26,274.19000244140625
2023-12-27,275.2799987792969
2023-12-28,276.6700134277344
2023-12-29,274.0
2024-01-02,268.9200134277344
2024-01-03,256.2200012207031
2024-01-04,261.3599853515625
2024-01-05,264.67999267578125
2024-01-08,273.94000244140625
2024-01-09,277.5199890136719
2024-01-10,276.7900085449219
2024-01-11,276.3599853515625
2024-01-12,271.6400146484375
2024-01-16,267.4599914550781
2024-01-17,259.5599975585937
2024-01-18,264.510009765625
2024-01-19,266.3399963378906
2024-01-22,271.6099853515625
2024-01-23,266.42999267578125
2024-01-24,257.07000732421875
2024-01-25,262.1099853515625
2024-01-26,264.2799987792969
2024-01-29,270.3900146484375
2024-01-30,264.739990234375
2024-01-31,267.32000732421875
2024-02-01,273.3800048828125
2024-02-02,273.8999938964844
2024-02-05,275.5799865722656
2024-02-06,288.44000244140625
2024-02-07,284.7300109863281
2024-02-08,295.0
2024-02-09,296.3699951171875
2024-02-12,302.44000244140625
2024-02-13,292.32000732421875
2024-02-14,302.75
2024-02-15,309.7699890136719
2024-02-16,308.7699890136719
2024-02-20,313.5299987792969
2024-02-21,304.6499938964844
2024-02-22,316.5599975585937
2024-02-23,316.8800048828125
2024-02-26,310.8399963378906
2024-02-27,313.0599975585937
2024-02-28,302.3900146484375
2024-02-29,302.4200134277344
2024-03-01,300.010009765625
2024-03-04,308.0400085449219
2024-03-05,299.489990234375
2024-03-06,303.7900085449219
2024-03-07,310.79998779296875
2024-03-08,312.489990234375
2024-03-11,308.0899963378906
2024-03-12,310.67999267578125
2024-03-13,320.69000244140625
2024-03-14,316.9200134277344
2024-03-15,314.3500061035156
2024-03-18,316.1400146484375
2024-03-19,317.20001220703125
2024-03-20,329.1400146484375
2024-03-21,321.2699890136719
2024-03-22,319.4200134277344
2024-03-25,319.2799987792969
2024-03-26,319.94000244140625
2024-03-27,327.8999938964844
2024-03-28,327.9200134277344
2024-04-01,319.6499938964844
2024-04-02,312.07000732421875
2024-04-03,310.1099853515625
2024-04-04,314.95001220703125
2024-04-05,317.5799865722656
2024-04-08,320.0599975585937
2024-04-09,330.25
2024-04-10,327.82000732421875
2024-04-11,324.8999938964844
2024-04-12,314.9700012207031
2024-04-15,304.739990234375
2024-04-16,305.1000061035156
2024-04-17,300.1400146484375
2024-04-18,301.3399963378906
2024-04-19,298.9800109863281
2024-04-22,300.82000732421875
2024-04-23,311.8800048828125
2024-04-24,313.7799987792969
2024-04-25,310.5
2024-04-26,309.0199890136719
2024-04-29,304.82000732421875
2024-04-30,282.3800048828125
2024-05-01,284.5199890136719
2024-05-02,286.5400085449219
2024-05-03,287.8699951171875
2024-05-06,287.3699951171875
2024-05-07,286.5199890136719
2024-05-08,273.6499938964844
2024-05-09,280.3900146484375
2024-05-10,271.70001220703125
2024-05-13,272.739990234375
2024-05-14,278.0799865722656
2024-05-15,280.32000732421875
2024-05-16,273.5599975585937
2024-05-17,271.5
2024-05-20,267.44000244140625
2024-05-21,264.0199890136719
2024-05-22,261.1199951171875
2024-05-23,252.38999938964844
2024-05-24,255.6199951171875
2024-05-28,253.7700042724609
2024-05-29,252.75999450683597
2024-05-30,256.5
2024-05-31,257.2099914550781
2024-06-03,254.52999877929688
2024-06-04,248.91000366210935
2024-06-05,256.010009765625
2024-06-06,257.4599914550781
2024-06-07,255.5399932861328
2024-06-10,255.6999969482422
2024-06-11,253.27999877929688
2024-06-12,266.1300048828125
2024-06-13,271.2799987792969
2024-06-14,256.010009765625
2024-06-17,245.5200042724609
2024-06-18,242.1999969482422
2024-06-20,242.6100006103516
2024-06-21,242.19000244140625
2024-06-24,237.0800018310547
2024-06-25,235.22999572753903
2024-06-26,243.6100006103516
2024-06-27,243.0
2024-06-28,241.42999267578125
2024-07-01,238.63999938964844
2024-07-02,239.7400054931641
2024-07-03,243.3699951171875
2024-07-05,243.6000061035156
2024-07-08,248.94000244140625
2024-07-09,247.47999572753903
2024-07-10,249.1300048828125
2024-07-11,256.29998779296875
2024-07-12,242.6499938964844
2024-07-15,240.2700042724609
2024-07-16,247.5399932861328
2024-07-17,250.5800018310547
2024-07-18,250.66000366210935
2024-07-19,251.6000061035156
2024-07-22,249.30999755859372
2024-07-23,250.6499938964844
2024-07-24,244.8000030517578
2024-07-25,226.0500030517578
2024-07-26,220.4499969482422
2024-07-29,223.9600067138672
2024-07-30,231.16000366210935
2024-07-31,231.8800048828125
2024-08-01,228.3300018310547
2024-08-02,213.4900054931641
2024-08-05,207.94000244140625
2024-08-06,206.3600006103516
2024-08-07,204.02999877929688
2024-08-08,214.1499938964844
2024-08-09,214.9199981689453
2024-08-12,213.57000732421875
2024-08-13,219.8300018310547
2024-08-14,220.02999877929688
2024-08-15,235.3300018310547
2024-08-16,240.3500061035156
2024-08-19,240.00999450683597
2024-08-20,233.22999572753903
2024-08-21,235.1300048828125
2024-08-22,228.69000244140625
2024-08-23,233.97000122070312
2024-08-26,231.6499938964844
2024-08-27,236.27999877929688
2024-08-28,230.92999267578125
2024-08-29,235.1499938964844
2024-08-30,237.22000122070312
2024-09-03,226.5
2024-09-04,222.33999633789065
2024-09-05,226.5200042724609
2024-09-06,221.1499938964844
2024-09-09,221.3800048828125
2024-09-10,227.1499938964844
2024-09-11,225.1499938964844
2024-09-12,228.8600006103516
2024-09-13,243.72999572753903
2024-09-16,249.55999755859372
2024-09-17,253.16000366210935
2024-09-18,253.00999450683597
2024-09-19,257.1700134277344
2024-09-20,252.8500061035156
2024-09-23,253.16000366210935
2024-09-24,249.00999450683597
2024-09-25,242.4499969482422
2024-09-26,249.4600067138672
2024-09-27,254.80999755859372
2024-09-30,254.32000732421875
2024-10-01,245.3500061035156
2024-10-02,238.05999755859372
2024-10-03,236.97000122070312
2024-10-04,241.3500061035156
2024-10-07,234.8500061035156
2024-10-08,234.05999755859372
2024-10-09,233.7899932861328
2024-10-10,229.6499938964844
2024-10-11,222.0399932861328
2024-10-14,221.2700042724609
2024-10-15,219.1499938964844
2024-10-16,216.0500030517578
2024-10-17,216.0200042724609
2024-10-18,219.6999969482422
2024-10-21,216.55999755859372
2024-10-22,210.80999755859372
2024-10-23,207.66000366210935
2024-10-24,216.4199981689453
2024-10-25,219.3000030517578
2024-10-28,215.8000030517578
2024-10-29,212.77999877929688
2024-10-30,210.8600006103516
2024-10-31,205.02999877929688
2024-11-01,208.5800018310547
2024-11-04,210.77999877929688
2024-11-05,212.1499938964844
2024-11-06,224.8500061035156
2024-11-07,222.17999267578125
2024-11-08,220.50999450683597
2024-11-11,225.2400054931641
2024-11-12,219.08999633789065
2024-11-13,215.02999877929688
2024-11-14,221.63999938964844
2024-11-15,223.69000244140625
2024-11-18,229.8999938964844
2024-11-19,222.5800018310547
2024-11-20,223.8699951171875
2024-11-21,228.2100067138672
2024-11-22,225.88999938964844
2024-11-25,240.5200042724609
2024-11-26,227.92999267578125
2024-11-27,229.66000366210935
2024-11-29,232.7700042724609
2024-12-02,234.13999938964844
2024-12-03,234.00999450683597
2024-12-04,235.2899932861328
2024-12-05,227.80999755859372
2024-12-06,232.3500061035156
2024-12-09,237.57000732421875
2024-12-10,237.16000366210935
2024-12-11,239.5200042724609
2024-12-12,235.72000122070312
2024-12-13,235.38999938964844
2024-12-16,230.08999633789065
2024-12-17,228.80999755859372
2024-12-18,212.69000244140625
2024-12-19,213.5800018310547
2024-12-20,211.05999755859372
2024-12-23,207.57000732421875
2024-12-24,213.5
2024-12-26,215.5
2024-12-27,211.42999267578125
2024-12-30,206.5800018310547
2024-12-31,208.50999450683597
2025-01-02,208.4900054931641
2025-01-03,208.25999450683597
2025-01-06,218.8800048828125
2025-01-07,217.55999755859372
2025-01-08,215.3699951171875
2025-01-10,212.1199951171875
2025-01-13,213.67999267578125
2025-01-14,210.4600067138672
2025-01-15,215.77999877929688
2025-01-16,218.91000366210935
2025-01-17,224.22999572753903
2025-01-21,228.0
2025-01-22,232.13999938964844
2025-01-23,234.88999938964844
2025-01-24,233.3000030517578
2025-01-27,229.82000732421875
2025-01-28,226.1699981689453
2025-01-29,224.4499969482422
2025-01-30,225.3600006103516
2025-01-31,219.1100006103516
2025-02-03,215.82000732421875
2025-02-04,214.75
2025-02-05,216.3600006103516
2025-02-06,218.3800048828125
2025-02-07,210.5500030517578
2025-02-10,212.02999877929688
2025-02-11,210.5200042724609
2025-02-12,205.33999633789065
2025-02-13,204.88999938964844
2025-02-14,206.7700042724609
2025-02-18,202.2400054931641
2025-02-19,201.7899932861328
2025-02-20,198.05999755859372
2025-02-21,190.42999267578125
2025-02-24,190.72000122070312
2025-02-25,186.6199951171875
2025-02-26,191.2100067138672
2025-02-27,185.7700042724609
2025-02-28,187.02999877929688
2025-03-03,175.08999633789062
2025-03-04,169.8800048828125
2025-03-05,174.19000244140625
2025-03-06,172.0
2025-03-07,173.75
2025-03-10,163.38999938964844
2025-03-11,165.13999938964844
2025-03-12,164.57000732421875
2025-03-13,160.50999450683594
2025-03-14,166.1999969482422
2025-03-17,169.58999633789062
2025-03-18,164.52999877929688
2025-03-19,166.13999938964844
2025-03-20,168.80999755859375
2025-03-21,168.61000061035156
2025-03-24,170.3699951171875
2025-03-25,170.0
2025-03-26,166.4600067138672
2025-03-27,164.2899932861328
2025-03-28,159.2100067138672
2025-03-31,158.86000061035156
2025-04-01,158.0800018310547
2025-04-02,163.97999572753906

Indicator data:
date,60-day,5-day
2023-10-27,270.44609952522677,199.28153205787402
2023-10-30,264.1202480410385,187.025231580108
2023-10-31,257.98055113592807,180.35184560517746
2023-11-01,252.0689562271274,177.09014101771896
2023-11-02,247.05221408009595,181.3815910619492
2023-11-03,242.6304432086327,187.34872350918562
2023-11-06,238.4665771169424,191.30536993990114
2023-11-07,234.51140265939023,193.64328327939245
2023-11-08,230.52002128944872,192.94643089879986
2023-11-09,226.34136007996557,189.22267098763683
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2025-02-13,214.90560164856637,205.01663160190952
2025-02-14,214.2080809964505,205.1800517012138
2025-02-18,213.25537435739042,202.91267826476712
2025-02-19,212.3232496017569,201.58020853670644
2025-02-20,211.19934251381486,198.9390893366496
2025-02-21,209.6416754552763,193.42869011527785
2025-02-24,208.18252906691038,190.80755104856962
2025-02-25,206.53427855518495,187.35509142498321
2025-02-26,205.26698095188874,188.28899400067849
2025-02-27,203.71543796882943,186.0063952016716
2025-02-28,202.32594477421128,185.66563813599845
2025-03-03,200.23951365881678,179.03245148861782
2025-03-04,197.9245814547881,172.7518782646578
2025-03-05,196.00680185402237,172.0358584330226
2025-03-06,194.04801158961672,170.7403087080017
2025-03-07,192.30473264396917,171.27669675154775
2025-03-10,189.98573960799513,166.03434701497872
2025-03-11,187.90060181732088,164.38281961813357
2025-03-12,185.8887219047299,163.41627626890977
2025-03-13,183.72182270821736,160.8593311101875
2025-03-14,182.03673191812643,162.84520832894202
2025-03-17,180.66195413616722,165.98390771144872
2025-03-18,179.03758200387597,164.96845197405986
2025-03-19,177.6062276424356,165.36286607488643
2025-03-20,176.42707959496497,167.10784169297477
2025-03-21,175.3028973995957,167.96140542594824
2025-03-24,174.35754638438564,169.39060794266788
2025-03-25,173.4450185915504,169.9290770154969
2025-03-26,172.3593191263804,168.2096139982919
2025-03-27,171.19734108000492,166.04544438807895
2025-03-28,169.77523096230743,162.06632634317603
2025-03-31,168.41091285385744,159.78601275134284
2025-04-01,167.0740155973351,158.2363171508086
2025-04-02,166.19422068471397,160.80796956864535

Answer: 8.0