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A9573. Table Decorations

编程题 普及/提高-

题目描述

You 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.

输入格式

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.

输出格式

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

输入输出样例

输入 #1
5 4 3
输出 #1
4
输入 #2
1 1 1
输出 #2
1
输入 #3
2 3 3
输出 #3
2

说明/提示

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.
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