2015弱校联盟(1) - E. Rectangle

E. Rectangle

Time Limit: 1000ms

Memory Limit: 65536KB

64-bit integer IO format: %lld Java class name: Main

Submit Status

frog has a piece of paper divided into n rows and m columns. Today, she would like to draw a rectangle whose perimeter is not greater than k.

There are 8 (out of 9) ways when n=m=2,k=6

Find the number of ways of drawing.

Input

The input consists of multiple tests. For each test:

The first line contains 3 integer n,m,k (1≤n,m≤5⋅104,0≤k≤109).

Output

For each test, write 1 integer which denotes the number of ways of drawing.

Sample Input

2 2 6

1 1 0

50000 50000 1000000000

Sample Output

8

0

156256250062500000

有技巧的暴力,枚举一条边,计算另外一条边的情况

#include <bits/stdc++.h>
#define LL long long
#define fread() freopen("in.in","r",stdin)
#define fwrite() freopen("out.out","w",stdout)

using namespace std;

int main()
{
    LL n,m,k;
    while(cin>>n>>m>>k)
    {
        LL ans=0;
        k/=2;
        for(int i=1;i<=n&&k-i>0;i++)
        {
            LL a=(n-i+1);
            LL b=min(k-i,m);
            LL c=(m+(m-b+1))*b/2;
            ans+=(a*c);
        }
        cout<<ans<<endl;
    }
    return 0;
}