LogiQuest

328. Loan EMI

MediumFormula

Print the monthly EMI for principal P, annual interest rate R% and n months, using EMI = P·r·(1+r)ⁿ / ((1+r)ⁿ − 1) with r = R/1200. Print with 2 decimal places. If R is 0, EMI = P/n.

Input format

A single line: P R n

Output format

The EMI with 2 decimals, e.g. 8791.59

Example 1

Input

100000 10 12

Output

8791.59

Example 2

Input

500000 8.5 60

Output

10258.27

Constraints

1 ≤ P ≤ 10⁸ 0 ≤ R ≤ 30 1 ≤ n ≤ 360

Read input from standard input and print the answer to standard output. Your code is judged against 4 test cases, most of them hidden.

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