TopCoder SRM 147, DIV II, PeopleCircle

Problem Statement

There are numMales males and numFemales females arranged in a circle. Starting from a given point, you count clockwise and remove the K'th person from the circle (where K=1 is the person at the current point, K=2 is the next person in the clockwise direction, etc...). After removing that person, the next person in the clockwise direction becomes the new starting point. After repeating this procedure numFemales times, there are no females left in the circle.

Given numMales, numFemales and K, your task is to return what the initial arrangement of people in the circle must have been, starting from the starting point and in clockwise order.

For example, if there are 5 males and 3 females and you remove every second person, your return String will be "MFMFMFMM".

TopCoder SRM 147, DIV II, CCipher

Problem Statement

Julius Caesar used a system of cryptography, now known as Caesar Cipher, which shifted each letter 2 places further through the alphabet (e.g. 'A' shifts to 'C', 'R' shifts to 'T', etc.). At the end of the alphabet we wrap around, that is 'Y' shifts to 'A'.

We can, of course, try shifting by any number. Given an encoded text and a number of places to shift, decode it.

For example, "TOPCODER" shifted by 2 places will be encoded as "VQREQFGT". In other words, if given (quotes for clarity) "VQREQFGT" and 2 as input, you will return "TOPCODER". See example 0 below.