View Full Version : Test Copy Do you know when Easter is this year?
Rick Rothstein
03-24-2012, 11:35 PM
Let me start by saying the code below is old, quite old for that matter. Back in the early 1980's, I came across a written algorithm for how to calculate when Easter falls for any given year. It was a word description for a series of calculations that would end up with the month and day for the given year that Easter falls on. So I decided back then to encode it into BASIC (the predecessor to VB). There were memory limitations back then, so the style was to use very short variable names (actually, there may have been a 2 significant character limit back then if I am remembering correctly). Being that so many years have passed, and the fact I have not seen the article the code was derived from for possibly 30 years now, the code still retains the one-character variable names I used originally.
This function can be called either from your own VB code or used as a UDF (user defined function) directly inside a worksheet formula. When called from VB code, the minimum year value that can be passed in for its argument is 1583... has to do with when the Gregorian Calendar was first adopted, but know that 1583 was not the adoption date everywhere in the world, so if you plan to call this function with really early dates, you should verify the adoption date for the Gregorian Calendar in the locale you plan to use the function at. When called as a UDF, the function will correctly handle the 1904 date system if that is in-use on the computer the formula is calculate on (this is an addition to the code I was able to implement awhile ago) and the minimum year argument is 1900 for the standard date system and 1904 for the 1904 date system. Oh, I almost forgot, the maximum year argument for either date system is 9999.
Function Easter(ByVal YearIn As Integer) As Date
Dim a As Long, b As Long, c As Long, d As Long, e As Long, f As Long, g As Long
Dim h As Long, i As Long, k As Long, l As Long, m As Long, n As Long, p As Long
Dim Adjustment1904 As Long
If ActiveWorkbook.Date1904 Then Adjustment1904 = 1462
If TypeName(Application.Caller) = "Range" Then
If YearIn < 1900 - 4 * ActiveWorkbook.Date1904 Then
Easter = CVErr(xlErrValue)
Exit Function
End If
ElseIf YearIn < 1583 Then
Err.Raise 5
End If
a = YearIn Mod 19
b = YearIn \ 100
c = YearIn Mod 100
d = b \ 4
e = b Mod 4
f = (b + 8) \ 25
g = (b - f + 1) \ 3
h = (19 * a + b - d - g + 15) Mod 30
i = c \ 4
k = c Mod 4
l = (32 + 2 * e + 2 * i - h - k) Mod 7
m = (a + 11 * h + 22 * l) \ 451
n = (h + l - 7 * m + 114) \ 31
p = (h + l - 7 * m + 114) Mod 31
Easter = DateSerial(YearIn, n, p + 1) - Adjustment1904
End Function
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9iHOYYpaA bC (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9iHOYYpaA bC)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgxuL6YCUckeUIh9hoh4AaABAg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgxuL6YCUckeUIh9hoh4AaABAg)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwGTEyefOX7msIh1wZ4AaABAg.9h4sd6Vs4qE9h7G-bVm8_- (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwGTEyefOX7msIh1wZ4AaABAg.9h4sd6Vs4qE9h7G-bVm8_-)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=Ugw3nF0C04AGt73H1BB4AaABAg.9h6VhNCM-DZ9h7EqbG23kg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=Ugw3nF0C04AGt73H1BB4AaABAg.9h6VhNCM-DZ9h7EqbG23kg)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwGTEyefOX7msIh1wZ4AaABAg.9h4sd6Vs4qE9h7KvJXmK 8o (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwGTEyefOX7msIh1wZ4AaABAg.9h4sd6Vs4qE9h7KvJXmK 8o)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=Ugw3nF0C04AGt73H1BB4AaABAg.9h6VhNCM-DZ9h7E1gwg4Aq (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=Ugw3nF0C04AGt73H1BB4AaABAg.9h6VhNCM-DZ9h7E1gwg4Aq)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgywFtBEpkHDuK55r214AaABAg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgywFtBEpkHDuK55r214AaABAg)
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https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgzMCQUIQgrbec400jl4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgzMCQUIQgrbec400jl4AaABAg)
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https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugyb8nmKKoXvcdM58gV4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugyb8nmKKoXvcdM58gV4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwvvXcl1oa79xS7BAV4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwvvXcl1oa79xS7BAV4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgxvIFArksPprylHXYZ4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgxvIFArksPprylHXYZ4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
Admin
03-25-2012, 10:12 PM
I found a shorter formula here (http://spreadsheetpage.com/index.php/tip/calculating_easter/)
=DOLLAR(("4/"&A1)/7+MOD(19*MOD(A1,19)-7,30)*14%,)*7-6
but it gives, incorrect results after year 2203
Also see The Date of Easter (http://aa.usno.navy.mil/faq/docs/easter.php)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK75iCEaGN (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK75iCEaGN)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK7XF33njy (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK7XF33njy)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCSgpAqA1 (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCSgpAqA1)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCy--3x8E (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCy--3x8E)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwNaJiNATXshvJ0Zz94AaABAg.9iEktVkTAHk9iF9_pdsh r6 (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwNaJiNATXshvJ0Zz94AaABAg.9iEktVkTAHk9iF9_pdsh r6)
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https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgxV2r7KQnuAyZVLHH54AaABAg.9iDVgy6wzct9iFBxma9z XI (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgxV2r7KQnuAyZVLHH54AaABAg.9iDVgy6wzct9iFBxma9z XI)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugx12mI-a39T41NaZ8F4AaABAg.9iDQqIP56NV9iFD0AkeeJG (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugx12mI-a39T41NaZ8F4AaABAg.9iDQqIP56NV9iFD0AkeeJG)
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https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
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https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A)
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https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
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https://www.youtube.com/watch?v=jdPeMPT98QU (https://www.youtube.com/watch?v=jdPeMPT98QU)
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https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
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https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g96yGbAX 4t (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g96yGbAX 4t)
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https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gD0AA-sfpl (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gD0AA-sfpl )
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gECpsAVGbh (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gECpsAVGbh)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg.9g9wJCunNRa9gJGhDZ4R I2 (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg.9g9wJCunNRa9gJGhDZ4R I2)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugz-pow-E8FDG8gFZ4l4AaABAg.9f8Bng22e5d9f8hoJGZY-5 (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugz-pow-E8FDG8gFZ4l4AaABAg.9f8Bng22e5d9f8hoJGZY-5)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxev2gQt7BKZ0WYMfh4AaABAg.9f6hAjkC0ct9f8jleOui-u (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxev2gQt7BKZ0WYMfh4AaABAg.9f6hAjkC0ct9f8jleOui-u)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxg9iT7MPWGBWruIzR4AaABAg (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxg9iT7MPWGBWruIzR4AaABAg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
Rick Rothstein
03-25-2012, 10:17 PM
I found a shorter formula here (http://spreadsheetpage.com/index.php/tip/calculating_easter/)
=DOLLAR(("4/"&A1)/7+MOD(19*MOD(A1,19)-7,30)*14%,)*7-6
but it gives, incorrect results after year 2203
The DOLLAR function? 14%? Really? How do people manage to figure these things out (even with the year 2203 restriction)??? :confused:
Also see The Date of Easter (http://aa.usno.navy.mil/faq/docs/easter.php)
Interesting... the algorithm in the article you cited is completely different from the underlying algorithm behind the code I posted, yet they both produce identical results. To be sure they produced identical results, I created a UDF from the article's "code" (inserting Int function calls where necessary) and compared results from my posted function and the new UDF for the years 1583 to 9999 and they both produced the same Easter date for each year.
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK75iCEaGN (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK75iCEaGN)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK7XF33njy (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK7XF33njy)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCSgpAqA1 (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCSgpAqA1)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCy--3x8E (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCy--3x8E)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwNaJiNATXshvJ0Zz94AaABAg.9iEktVkTAHk9iF9_pdsh r6 (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwNaJiNATXshvJ0Zz94AaABAg.9iEktVkTAHk9iF9_pdsh r6)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iFAZq-JEZ- (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iFAZq-JEZ-)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgxV2r7KQnuAyZVLHH54AaABAg.9iDVgy6wzct9iFBxma9z XI (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgxV2r7KQnuAyZVLHH54AaABAg.9iDVgy6wzct9iFBxma9z XI)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugx12mI-a39T41NaZ8F4AaABAg.9iDQqIP56NV9iFD0AkeeJG (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugx12mI-a39T41NaZ8F4AaABAg.9iDQqIP56NV9iFD0AkeeJG)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwnYuSngiuYaUhEMWN4AaABAg.9iDQN7TORHv9iFGQQ5z_ 3f (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwnYuSngiuYaUhEMWN4AaABAg.9iDQN7TORHv9iFGQQ5z_ 3f)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwJ3yzdk_EE98dndmt4AaABAg.9iDLC2uEPRW9iFGvgk11 nH (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwJ3yzdk_EE98dndmt4AaABAg.9iDLC2uEPRW9iFGvgk11 nH)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgyDWAVqCa4yMot463x4AaABAg.9iH3wvUZj3n9iHnpOxOe Xa (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgyDWAVqCa4yMot463x4AaABAg.9iH3wvUZj3n9iHnpOxOe Xa)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwvLFdMEAba5rLHIz94AaABAg.9iGReNGzP4v9iHoeaCpT G8 (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwvLFdMEAba5rLHIz94AaABAg.9iGReNGzP4v9iHoeaCpT G8)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iHpsWCdJ5I (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iHpsWCdJ5I)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgzMCQUIQgrbec400jl4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgzMCQUIQgrbec400jl4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwhVTFaD469mW9wO194AaABAg.9gJzxwFcnPU9gORqKw5t W_ (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwhVTFaD469mW9wO194AaABAg.9gJzxwFcnPU9gORqKw5t W_)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugyb8nmKKoXvcdM58gV4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugyb8nmKKoXvcdM58gV4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwvvXcl1oa79xS7BAV4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwvvXcl1oa79xS7BAV4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgxvIFArksPprylHXYZ4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgxvIFArksPprylHXYZ4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgzMCQUIQgrbec400jl4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgzMCQUIQgrbec400jl4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwhVTFaD469mW9wO194AaABAg.9gJzxwFcnPU9gORqKw5t W_ (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwhVTFaD469mW9wO194AaABAg.9gJzxwFcnPU9gORqKw5t W_)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugyb8nmKKoXvcdM58gV4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugyb8nmKKoXvcdM58gV4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwvvXcl1oa79xS7BAV4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwvvXcl1oa79xS7BAV4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgxvIFArksPprylHXYZ4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgxvIFArksPprylHXYZ4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgxsozCmRd3RAmIPO5B4AaABAg.9fxrOrrvTln9g9wr8mv2 CS (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgxsozCmRd3RAmIPO5B4AaABAg.9fxrOrrvTln9g9wr8mv2 CS)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g96yGbAX 4t (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g96yGbAX 4t)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9g7pczEpcTz (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9g7pczEpcTz)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g7lhoX-ar5 (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g7lhoX-ar5)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gD0AA-sfpl (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gD0AA-sfpl )
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gECpsAVGbh (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gECpsAVGbh)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg.9g9wJCunNRa9gJGhDZ4R I2 (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg.9g9wJCunNRa9gJGhDZ4R I2)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugz-pow-E8FDG8gFZ4l4AaABAg.9f8Bng22e5d9f8hoJGZY-5 (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugz-pow-E8FDG8gFZ4l4AaABAg.9f8Bng22e5d9f8hoJGZY-5)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxev2gQt7BKZ0WYMfh4AaABAg.9f6hAjkC0ct9f8jleOui-u (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxev2gQt7BKZ0WYMfh4AaABAg.9f6hAjkC0ct9f8jleOui-u)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxg9iT7MPWGBWruIzR4AaABAg (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxg9iT7MPWGBWruIzR4AaABAg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
Willy Vanhaelen
08-01-2021, 08:23 PM
Hi Rick,
While browsing your ”corner”, the “Do you know when Easter is this year?” post (page 3) caught my attention. Back in the nineties I was “playing” with a “perpetual” calendar, first in Lotus Symphony and then in Excel. I wanted to highlight the day of Easter and I found the Gauss algorithm on the Internet which was, I remember, exactly the same as the one you used in your post. You preserved the original but I found it quite lengthy and noticed that many variables were only used once. So, I integrated the code of these variables directly where they were used. I also noticed that the two penultimate lines of code (n and p) are identical except for the last operation ( \ 31 and Mod 31). So, I moved these to the final code line, where they are referenced, and kept only one line of those two. Here is my very compacted version:
Function Easter(Y As Integer) As Date
Dim a As Integer, b As Integer, c As Integer, d As Integer, e As Integer
a = Y Mod 19
b = Y \ 100
c = Y Mod 100
d = (19 * a + b - b \ 4 - (b - (b + 8) \ 25 + 1) \ 3 + 15) Mod 30
e = (32 + 2 * (b Mod 4) + 2 * (c \ 4) - d - (c Mod 4)) Mod 7
e = d + e - 7 * ((a + 11 * d + 22 * e) \ 451) + 114
Easter = DateSerial(Y, e \ 31, e Mod 31 + 1)
End Function
When this version is compared with the original code, it’s hard to believe that they are if fact the same algorithm.
I neglected the minimum 1900 restriction of Excel and the 1900/1904 option. In 1999 I decided to add a “perpetual calendar” to my website (www.wv-be.com/Kalender.asp). Being an .asp page, the code of the Easter function could be used as is but now, being pure vb script, it could be used, without the Excel restrictions, from 1583 till 9998. I tested both versions for that range and found that the results were identical.
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h78GftO_ iE (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h78GftO_ iE)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h76fafzc EJ (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h76fafzc EJ)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h759YIjl aG (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h759YIjl aG)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h74pjGcb Eq (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h74pjGcb Eq)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgzJJUDVv2Mb6YGkPYh4AaABAg.9h5uPRbWIZl9h7165DZd jg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgzJJUDVv2Mb6YGkPYh4AaABAg.9h5uPRbWIZl9h7165DZd jg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h78GftO_ iE (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h78GftO_ iE)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h76fafzc EJ (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h76fafzc EJ)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h759YIjl aG (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h759YIjl aG)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h74pjGcb Eq (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h74pjGcb Eq)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgzJJUDVv2Mb6YGkPYh4AaABAg.9h5uPRbWIZl9h7165DZd jg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgzJJUDVv2Mb6YGkPYh4AaABAg.9h5uPRbWIZl9h7165DZd jg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h78GftO_ iE (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h78GftO_ iE)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h76fafzc EJ (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h76fafzc EJ)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h759YIjl aG (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h759YIjl aG)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h74pjGcb Eq (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h74pjGcb Eq)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgzJJUDVv2Mb6YGkPYh4AaABAg.9h5uPRbWIZl9h7165DZd jg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgzJJUDVv2Mb6YGkPYh4AaABAg.9h5uPRbWIZl9h7165DZd jg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgzMCQUIQgrbec400jl4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgzMCQUIQgrbec400jl4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwhVTFaD469mW9wO194AaABAg.9gJzxwFcnPU9gORqKw5t W_ (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwhVTFaD469mW9wO194AaABAg.9gJzxwFcnPU9gORqKw5t W_)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugyb8nmKKoXvcdM58gV4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugyb8nmKKoXvcdM58gV4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwvvXcl1oa79xS7BAV4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgwvvXcl1oa79xS7BAV4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgxvIFArksPprylHXYZ4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=UgxvIFArksPprylHXYZ4AaABAg)
https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg (https://www.youtube.com/watch?v=f7xZivqLZxc&lc=Ugxq4JHRza_zx3sz0fx4AaABAg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
Willy Vanhaelen
08-01-2021, 08:23 PM
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgxsozCmRd3RAmIPO5B4AaABAg.9fxrOrrvTln9g9wr8mv2 CS (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgxsozCmRd3RAmIPO5B4AaABAg.9fxrOrrvTln9g9wr8mv2 CS)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g96yGbAX 4t (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g96yGbAX 4t)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9g7pczEpcTz (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9g7pczEpcTz)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g7lhoX-ar5 (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=UgyT1lo2YMUyZ50bLeR4AaABAg.9fz3_oaiUeK9g7lhoX-ar5)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gD0AA-sfpl (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gD0AA-sfpl )
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gECpsAVGbh (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugx5d-LrmoMM_hsJK2N4AaABAg.9fyL20jCtOI9gECpsAVGbh)
https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg.9g9wJCunNRa9gJGhDZ4R I2 (https://www.youtube.com/watch?v=U76ZRIzBhOA&lc=Ugw6zxOMtNCfmdllKQl4AaABAg.9g9wJCunNRa9gJGhDZ4R I2)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugz-pow-E8FDG8gFZ4l4AaABAg.9f8Bng22e5d9f8hoJGZY-5 (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugz-pow-E8FDG8gFZ4l4AaABAg.9f8Bng22e5d9f8hoJGZY-5)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxev2gQt7BKZ0WYMfh4AaABAg.9f6hAjkC0ct9f8jleOui-u (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxev2gQt7BKZ0WYMfh4AaABAg.9f6hAjkC0ct9f8jleOui-u)
https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxg9iT7MPWGBWruIzR4AaABAg (https://www.youtube.com/watch?v=Sh1kZD7EVj0&lc=Ugxg9iT7MPWGBWruIzR4AaABAg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=oVb1RfcSHLM&lc=UgwTq-jZlZLnLQ5VB8Z4AaABAg.9Hroz-OyWog9tYjSMc1qjA (https://www.youtube.com/watch?v=oVb1RfcSHLM&lc=UgwTq-jZlZLnLQ5VB8Z4AaABAg.9Hroz-OyWog9tYjSMc1qjA)
https://www.youtube.com/watch?v=0pbsf6sox34&lc=Ugxp9JFvvejnqA68W1t4AaABAg (https://www.youtube.com/watch?v=0pbsf6sox34&lc=Ugxp9JFvvejnqA68W1t4AaABAg)
https://www.youtube.com/watch?v=kfQC-sQxMcw&lc=UgyCxQWypNIhG2nUn794AaABAg.9q1p6q7ah839tUQl_92m vg (https://www.youtube.com/watch?v=kfQC-sQxMcw&lc=UgyCxQWypNIhG2nUn794AaABAg.9q1p6q7ah839tUQl_92m vg)
https://www.youtube.com/watch?v=vXyMScSbhk4&lc=UgyOh-eR43LvlIJLG5p4AaABAg.9isnKJoRfbL9itPC-4uckb (https://www.youtube.com/watch?v=vXyMScSbhk4&lc=UgyOh-eR43LvlIJLG5p4AaABAg.9isnKJoRfbL9itPC-4uckb)
https://www.youtube.com/watch?v=vXyMScSbhk4&lc=Ugy1B1aQnHq2WbbucmR4AaABAg.9isY3Ezhx4j9itQLuif2 6T (https://www.youtube.com/watch?v=vXyMScSbhk4&lc=Ugy1B1aQnHq2WbbucmR4AaABAg.9isY3Ezhx4j9itQLuif2 6T)
https://www.youtube.com/watch?v=vXyMScSbhk4&lc=UgxxajSt03TX1wxh3IJ4AaABAg.9irSL7x4Moh9itTRqL7d Qh (https://www.youtube.com/watch?v=vXyMScSbhk4&lc=UgxxajSt03TX1wxh3IJ4AaABAg.9irSL7x4Moh9itTRqL7d Qh)
https://www.youtube.com/watch?v=vXyMScSbhk4&lc=Ugxa2VYHMWJWXA6QI294AaABAg.9irLgSdeU3r9itU7zdnW Hw (https://www.youtube.com/watch?v=vXyMScSbhk4&lc=Ugxa2VYHMWJWXA6QI294AaABAg.9irLgSdeU3r9itU7zdnW Hw)
https://www.youtube.com/watch?v=vXyMScSbhk4&lc=UgwJAAPbp8dhkW2X1Uh4AaABAg.9iraombnLDb9itV80HDp Xc (https://www.youtube.com/watch?v=vXyMScSbhk4&lc=UgwJAAPbp8dhkW2X1Uh4AaABAg.9iraombnLDb9itV80HDp Xc)
https://www.youtube.com/watch?v=vXyMScSbhk4&lc=UgzIzQ6MQ5kTpuLbIuB4AaABAg.9is0FSoF2Wi9itWKEvGS Sq (https://www.youtube.com/watch?v=vXyMScSbhk4&lc=UgzIzQ6MQ5kTpuLbIuB4AaABAg.9is0FSoF2Wi9itWKEvGS Sq)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK75iCEaGN (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK75iCEaGN)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK7XF33njy (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iK7XF33njy)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCSgpAqA1 (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCSgpAqA1)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCy--3x8E (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iKCy--3x8E)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwNaJiNATXshvJ0Zz94AaABAg.9iEktVkTAHk9iF9_pdsh r6 (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwNaJiNATXshvJ0Zz94AaABAg.9iEktVkTAHk9iF9_pdsh r6)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iFAZq-JEZ- (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgykemWTw-fGoPwu8E14AaABAg.9iECYNx-n4U9iFAZq-JEZ-)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgxV2r7KQnuAyZVLHH54AaABAg.9iDVgy6wzct9iFBxma9z XI (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgxV2r7KQnuAyZVLHH54AaABAg.9iDVgy6wzct9iFBxma9z XI)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugx12mI-a39T41NaZ8F4AaABAg.9iDQqIP56NV9iFD0AkeeJG (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugx12mI-a39T41NaZ8F4AaABAg.9iDQqIP56NV9iFD0AkeeJG)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwnYuSngiuYaUhEMWN4AaABAg.9iDQN7TORHv9iFGQQ5z_ 3f (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwnYuSngiuYaUhEMWN4AaABAg.9iDQN7TORHv9iFGQQ5z_ 3f)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwJ3yzdk_EE98dndmt4AaABAg.9iDLC2uEPRW9iFGvgk11 nH (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwJ3yzdk_EE98dndmt4AaABAg.9iDLC2uEPRW9iFGvgk11 nH)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgyDWAVqCa4yMot463x4AaABAg.9iH3wvUZj3n9iHnpOxOe Xa (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgyDWAVqCa4yMot463x4AaABAg.9iH3wvUZj3n9iHnpOxOe Xa)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwvLFdMEAba5rLHIz94AaABAg.9iGReNGzP4v9iHoeaCpT G8 (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=UgwvLFdMEAba5rLHIz94AaABAg.9iGReNGzP4v9iHoeaCpT G8)
https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iHpsWCdJ5I (https://www.youtube.com/watch?v=ITI1HaFeq_g&lc=Ugy_1xkcndYdzUapw-J4AaABAg.9iGOq_leF_E9iHpsWCdJ5I)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
Willy Vanhaelen
08-01-2021, 08:23 PM
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgwplzlpYpmRqjGZem14AaABAg.9hrvbYRwXvg9ht4b7z00 X0 (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgwplzlpYpmRqjGZem14AaABAg.9hrvbYRwXvg9ht4b7z00 X0)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgyOGlCElBSbfPIzerF4AaABAg.9hrehNPPnBu9ht4us7Tt Pr (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgyOGlCElBSbfPIzerF4AaABAg.9hrehNPPnBu9ht4us7Tt Pr)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgwHjKXf3ELkU4u4j254AaABAg.9hr503K8PDg9ht5mfLcg pR (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgwHjKXf3ELkU4u4j254AaABAg.9hr503K8PDg9ht5mfLcg pR)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugw1-OyZiDDxCHM2Rmp4AaABAg.9hqzs_MlQu-9ht5xNvQueN (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugw1-OyZiDDxCHM2Rmp4AaABAg.9hqzs_MlQu-9ht5xNvQueN)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg.9htChVuaX9W9htG01cKBzX (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg.9htChVuaX9W9htG01cKBzX)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugw6UrV69zpeKvLOeOV4AaABAg.9ht16tzryC49htJ6TpIO XR (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugw6UrV69zpeKvLOeOV4AaABAg.9ht16tzryC49htJ6TpIO XR)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgwMKwGZpDjv7vi7pCx4AaABAg (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgwMKwGZpDjv7vi7pCx4AaABAg)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugw6UrV69zpeKvLOeOV4AaABAg.9ht16tzryC49htOKs4jh 3M (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugw6UrV69zpeKvLOeOV4AaABAg.9ht16tzryC49htOKs4jh 3M)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgxVW-am20rQ5GFuJ9F4AaABAg (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgxVW-am20rQ5GFuJ9F4AaABAg)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugygb0YiLOI7fG1zQSx4AaABAg (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugygb0YiLOI7fG1zQSx4AaABAg)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugygb0YiLOI7fG1zQSx4AaABAg.9htWqRrSIfP9i-fyT84gqd (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugygb0YiLOI7fG1zQSx4AaABAg.9htWqRrSIfP9i-fyT84gqd)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugygb0YiLOI7fG1zQSx4AaABAg.9htWqRrSIfP9i-kIDl-3C9 (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugygb0YiLOI7fG1zQSx4AaABAg.9htWqRrSIfP9i-kIDl-3C9)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg.9htChVuaX9W9i57J9GEOUB (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg.9htChVuaX9W9i57J9GEOUB)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg.9htChVuaX9W9i58MGeM8Lg (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg.9htChVuaX9W9i58MGeM8Lg)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg.9htChVuaX9W9i59prk5atY (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz0Uy2bCSCTb1W-0_14AaABAg.9htChVuaX9W9i59prk5atY)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgwaWs6XDXdQybNb8tZ4AaABAg.9i5yTldIQBn9i7NB1gjy Bk (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=UgwaWs6XDXdQybNb8tZ4AaABAg.9i5yTldIQBn9i7NB1gjy Bk)
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https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugx2zSXUtmLBSDoNWph4AaABAg.9i3IA0y4fqp9i7NySrZa md (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugx2zSXUtmLBSDoNWph4AaABAg.9i3IA0y4fqp9i7NySrZa md)
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https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9i7TqGQYq Tz (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9i7TqGQYq Tz)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAJSNws8 Zz (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAJSNws8 Zz)
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https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAK0g1dU 7i (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAK0g1dU 7i)
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https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKHVSTG Hy (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKHVSTG Hy)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKSBKPc J6 (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKSBKPc J6)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKgL6lr cT (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKgL6lr cT)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKlts8h KZ (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKlts8h KZ)
https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKrX7UP P0 (https://www.youtube.com/watch?v=LuAipOW8BNQ&lc=Ugz4oMZ09MKcExYlWf94AaABAg.9hwsCHaKX6A9iAKrX7UP P0)
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https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
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https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwGTEyefOX7msIh1wZ4AaABAg.9h4sd6Vs4qE9h7KvJXmK 8o (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwGTEyefOX7msIh1wZ4AaABAg.9h4sd6Vs4qE9h7KvJXmK 8o)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=Ugw3nF0C04AGt73H1BB4AaABAg.9h6VhNCM-DZ9h7E1gwg4Aq (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=Ugw3nF0C04AGt73H1BB4AaABAg.9h6VhNCM-DZ9h7E1gwg4Aq)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgywFtBEpkHDuK55r214AaABAg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgywFtBEpkHDuK55r214AaABAg)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h79hNGvJ bu (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h79hNGvJ bu)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h79YAfa2 4T (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h79YAfa2 4T)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h79M1SYH 1E (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h79M1SYH 1E)
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https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h78GftO_ iE (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgwviLabd7r_3KpP6wh4AaABAg.9h5lFRmix1R9h78GftO_ iE)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h77HSGDH 4A)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h76fafzc EJ (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h76fafzc EJ)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h759YIjl aG (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h759YIjl aG)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h74pjGcb Eq (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg.9h740K6COOA9h74pjGcb Eq)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgyG714V_k7odQMrTz14AaABAg)
https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgzJJUDVv2Mb6YGkPYh4AaABAg.9h5uPRbWIZl9h7165DZd jg (https://www.youtube.com/watch?v=2oT4qrHmDMY&lc=UgzJJUDVv2Mb6YGkPYh4AaABAg.9h5uPRbWIZl9h7165DZd jg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
Willy Vanhaelen
08-01-2021, 08:23 PM
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
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https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=Ugz2PzvZTJyxHz70eVF4AaABAg.9gxDYq2iiZ89h32czjty R_ (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=Ugz2PzvZTJyxHz70eVF4AaABAg.9gxDYq2iiZ89h32czjty R_)
https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgxzpgHWTLGj0C3q3gx4AaABAg (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgxzpgHWTLGj0C3q3gx4AaABAg)
https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=Ugw_smEwvNffCPr_nrB4AaABAg.9gvyL53lI1l9gxwd_9-V6z (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=Ugw_smEwvNffCPr_nrB4AaABAg.9gvyL53lI1l9gxwd_9-V6z)
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https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgzuX3uYmqJRtsZIbqF4AaABAg.9gth61YhXKB9gxxCMdRL A0 (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgzuX3uYmqJRtsZIbqF4AaABAg.9gth61YhXKB9gxxCMdRL A0)
https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgxcPC64RQGmXwO5rft4AaABAg.9gtQLXaeg0e9gxxNuc5C CM (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgxcPC64RQGmXwO5rft4AaABAg.9gtQLXaeg0e9gxxNuc5C CM)
https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgwCY8vOs1DFHgYSJwF4AaABAg.9godrFcyWYw9gxy1odpi Rj (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgwCY8vOs1DFHgYSJwF4AaABAg.9godrFcyWYw9gxy1odpi Rj)
https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgyL5nh_j8w70-YBoUt4AaABAg.9goMcRjwjtc9gxyslvuZKx (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgyL5nh_j8w70-YBoUt4AaABAg.9goMcRjwjtc9gxyslvuZKx)
https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgwwWRgmRZNqJKptHR14AaABAg.9go-DbayTZa9gxzPbefHXf (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgwwWRgmRZNqJKptHR14AaABAg.9go-DbayTZa9gxzPbefHXf)
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https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgyRDmGTHnMdT7dl_qx4AaABAg (https://www.youtube.com/watch?v=xLCWtC6UYrM&lc=UgyRDmGTHnMdT7dl_qx4AaABAg)
https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA (https://www.youtube.com/channel/UCnxwq2aGJRbjOo_MO54oaHA)
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