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#F1869. Table Decorations

    ID: 1875 传统题 2000ms 256MiB 尝试: 0 已通过: 0 难度: 5 上传者: 标签>贪心算法思想进阶难度共享题库Codeforces英文题面题目来源题面语言

Table Decorations

题目描述

C. Table Decorations
time limit per test
1 second
memory limit per test
256 megabytes
input
standard input
output
standard output

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.

Input

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.

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.


题目来源:fps-www.educg.net-codeforce-1-2833.xml.zip;FPS 共享题包,题包内第 1444 题。保留原作者与原赛事署名。