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Problems

Big accuracy

Big accuracy

Time limit 1 second
Memory limit 64 MiB

The rational fraction m/n is given. Write it in the decimal notation with k digits after the decimal point.

Input data

Three numbers m, n, k are written in one line. 0 < m, n ≤ 100, 0 ≤ k ≤ 1000.

Output data

Print k digits after the decimal point of the given number.

Examples

Input example #1
1 2 3
Output example #1
0.500