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.
输入描述:
The single line contains three integers r, g and b (0 ≤ r, g, b ≤ 2·109) — the number of red, green and blue baloons respectively. The numbers are separated by exactly one space.


输出描述:
Print a single integer t — the maximum number of tables that can be decorated in the required manner.
示例1

输入

5 4 3<br />1 1 1<br />2 3 3<br />

输出

4<br />1<br />2<br />

备注:
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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