Problem4082--CCC '12 J4 - Big Bang Secrets

4082: CCC '12 J4 - Big Bang Secrets

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 11  Solved: 5
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Description

Sheldon and Leonard are physicists who are fixated on the BIG BANG theory. In order to exchange secret insights they have devised a code that encodes UPPERCASE words by shifting their letters forward.

Shifting a letter by S positions means to go forward S letters in the alphabet. For example, shifting B by S=3 positions gives E. However, sometimes this makes us go past Z, the last letter of the alphabet. Whenever this happens we wrap around, treating A as the letter that follows Z. For example, shifting Z by S=2 positions gives B.

Sheldon and Leonard's code depends on a parameter K and also varies depending on the position of each letter in the word. For the letter at position P, they use the shift value of S=3P+K.

For example, here is how ZOOM is encoded when K=3. The first letter Z has a shift value of S=3×1+3=6; it wraps around and becomes the letter F. The second letter, O, has S=3×2+3=9 and becomes X. The last two letters become A and B. So Sheldon sends Leonard the secret message: FXAB

Write a program for Leonard that will decode messages sent by Sheldon.

Input

The input will be two lines. The first line will contain the positive integer K (K<10), 
which is used to compute the shift value. The second line of input will be the word, 
which will be a sequence of uppercase characters of length at most 20.

Output

The output will be the decoded word of uppercase letters.

Sample Input Copy

3
FXAB

Sample Output Copy

ZOOM

Source/Category