P9969 [HackerEarth] to be changed choosing a project
普及
题目描述

Singh is getting bored at work. He has a lot of ideas (N) to work on (as side projects) but is unable to choose one.

He chooses a random number (R) and lines up his ideas in a circle. He starts counting from first and removes the R^th idea in the circle until only one remains. Help him choose an idea to work on.

Input Format:

no_of_ideas random_number

Output Format:

idea_number

Constraints:

1 ≤ N ≤ 20

1 ≤ R ≤ 10000000

SAMPLE INPUT
5 3

SAMPLE OUTPUT
4

Explanation

List: {1,2,3,4,5}. Start counting from 1,

1 2 3 -> 3 removed

4 5 1 -> 1 removed

2 4 5 -> 5 removed

2 4 2 -> 2 removed

Remaining number: 4

输入格式

见题面

输出格式

见题面

样例输入
5 3 SAMPLE
样例输出
4