Buns#11379

Buns

1 second

128 megabytes

Very easy

Huseyn likes buns very much, which are sold at ADA University in building C. It is known that

Huseyn wants to buy exactly $n$ buns. What is the minimum number of qəpik he should spend?

Input

Three positive integers $a$ , $b$ , and $n$ , each not greater than $1 0^{9}$ 10^9.

Print the minimum number of qəpik that Huseyn should spend to buy exactly $n$ buns.

Example 1

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1 0^{9}