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I. Rotation

time limit per test

2 secondsmemory limit per test

64 megabytesinput

standard inputoutput

standard outputEhsan 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

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