【CODEFORCES】 C. Table Decorations
1 second
256 megabytes
standard input
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.
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.
Print a single integer t — the maximum number of tables that can be decorated in the required manner.
5 4 3
4
1 1 1
1
2 3 3
2
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.
题解:这一题是一道贪心。策略是优先取最小的那堆,然后最大堆拿2个。看到题目数据非常大。不可能模拟。所以就从2堆的基础上推出一个公式:当最小的两堆相加乘以2比最大的那堆大时,结果就是3堆相加在整除3。否则就是两堆最小堆的和。(由于每次拿的都是3的倍数,并且最小的两堆并不能在最大的堆被拿完钱拿完,所以结果一定是相加后整除3)
#include <iostream>
#include <cstring>
#include <cstdio>
#include <cstdlib> using namespace std; long long r,g,b,ans; int main()
{
scanf("%I64d%I64d%I64d",&r,&g,&b);
if (r>g) swap(r,g);
if (r>b) swap(r,b);
if (g>b) swap(g,b);
if ((r+g)*2<=b)
{
printf("%I64d\n",r+g);
return 0;
}
else ans=(r+g+b)/3;
printf("%I64d\n",ans);
return 0;
}
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