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C. Table Decorations

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou have *r* red, *g* green and *b* blue balloons. To decorate a single table for the banquet you need exactly three balloons. Three balloons attached to some table shouldn't have the same color. What maximum number *t* of tables can be decorated if we know number of balloons of each color?

Your task is to write a program that for given values *r*, *g* and *b* will find the maximum number *t* of tables, that can be decorated in the required manner.

Input

The single line contains three integers *r*, *g* and *b* (0 ≤ *r*, *g*, *b* ≤ 2·10^{9}) — the number of red, green and blue baloons respectively. The numbers are separated by exactly one space.

Output

Print a single integer *t* — the maximum number of tables that can be decorated in the required manner.

Examples

Input

5 4 3

Output

4

Input

1 1 1

Output

1

Input

2 3 3

Output

2

Note

In the first sample you can decorate the tables with the following balloon sets: "rgg", "gbb", "brr", "rrg", where "r", "g" and "b" represent the red, green and blue balls, respectively.

Codeforces (c) Copyright 2010-2023 Mike Mirzayanov

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