Ehsan loves geometry! Especially he likes to rotate points!

Given a point in the plane, Ehsan likes to rotate it by k degrees (counter-clockwise), around the origin. What is the result of this rotation?

Input

A single integer k (0 ≤ k < 360) is given in the first line. Two integer numbers x and y are given in the second line ( - 1390 ≤ x, y ≤ 1390).

Output

Write two numbers. The result of the rotation. Your answer must have a relative error less than 10 - 1.

Examples

Input

90
1 1


Output

-1.00000000 1.00000000


Input

180
1 1390


Output

-1.00000000 -1390.00000000

Source: codeforces | Difficulty: MEDIUM
Tags: Geometry

Mathematics


Solutions: