Ye olde A2/17: April 2006

Angeblich gibt es eine "Big Rock Candy Mountain"-Version von Johnny Cash. Wer die findet und mir auch noch zukommen lässt, soll dafür fürstlich entlohnt werden.

Zur Erinnerung hier nochmal der Text:

One evening as the sun went down
And the jungle fires were burning,
Down the track came a hobo hiking,
And he said, "Boys, I'm not turning
I'm headed for a land that's far away
Besides the crystal fountains
So come with me, we'll go and see
The Big Rock Candy Mountains

In the Big Rock Candy Mountains,
There's a land that's fair and bright,
Where the handouts grow on bushes
And you sleep out every night.
Where the boxcars all are empty
And the sun shines every day
And the birds and the bees
And the cigarette trees
The lemonade springs
Where the bluebird sings
In the Big Rock Candy Mountains.

In the Big Rock Candy Mountains
All the cops have wooden legs
And the bulldogs all have rubber teeth
And the hens lay soft-boiled eggs
The farmers' trees are full of fruit
And the barns are full of hay
Oh I'm bound to go
Where there ain't no snow
Where the rain don't fall
The winds don't blow
In the Big Rock Candy Mountains.

In the Big Rock Candy Mountains
You never change your socks
And the little streams of alcohol
Come trickling down the rocks
The brakemen have to tip their hats
And the railway bulls are blind
There's a lake of stew
And of whiskey too
You can paddle all around it
In a big canoe
In the Big Rock Candy Mountains

In the Big Rock Candy Mountains,
The jails are made of tin.
And you can walk right out again,
As soon as you are in.
There ain't no short-handled shovels,
No axes, saws nor picks,
I'm bound to stay
Where you sleep all day,
Where they hung the jerk
That invented work
In the Big Rock Candy Mountains.

Für alle denen gerade langweilig ist, hier eine kleine Rechenstunde:

Berechnet das Datum, an dem im Jahr 2043 Ostersonntag gefeiert wird.

Die Gaußsche Osterformel:

a = Jahr mod 19 b = Jahr mod 4 c = Jahr mod 7
H1 = Jahr div 100
H2 = Jahr div 400
N = 4 + H1 - H2
M = 15 + H1 - H2 - [(8 * H1 + 13) div 25]
d = (19 * a + M) mod 30
e = (2 * b + 4 * c + 6 * d + N) mod 7

wenn d + e = 35, dann ostern = 50
wenn d = 28 und e = 6 und a > 10, dann ostern = 49
in allen anderen Fällen: ostern = 22 + d + e

Der errechnete Wert ostern gibt die Entfernung in Tagen vom letzten Tag im Februar bis zum Ostersonntag an.
Mit anderen Worten: Der errechnete Wert gibt den Tag im Monat März wieder. Ist der Wert größer als 31, so zieht man 31 ab und erhält den Tag im Monat April.

Beispielberechnung für Jahr = 2006:

a = Jahr mod 19 = 2006 mod 19 = 11
b = Jahr mod 4 = 2006 mod 4 = 2
c = Jahr mod 7 = 2006 mod 7 = 4
H1 = Jahr div 100 = 2006 div 100 = 20
H2 = Jahr div 400 = 2006 div 400 = 5
N = 4 + H1 - H2 = 4 + 20 - 5 = 19

M = 15 + H1 - H2 - [(8 * H1 + 13) div 25]
= 15 + 20 - 5 - [(8 * 20 + 13) div 25]
= 30 - [173 div 25] = 30 - 6 = 24
d = (19 * a + M) mod 30 = (19 * 11 + 24) mod 30
= 233 mod 30 = 23
e = (2 * b + 4 * c + 6 * d + N) mod 7 = (2 * 2 + 4 * 4 + 6 * 23 + 19) mod 7 = 177 mod 7 = 2
ostern = 22 + d + e = 22 + 23 + 2 = 47

Daher fällt Ostersonntag im Jahre 2006 auf den 16. April
(47 - 31 = 16).

Info zu "mod":
17 mod 3 = 2 , da 17 = 5×3 + 2
(„3 passt fünf mal in 17 und es bleiben 2 übrig")