Black and white painting

Black and white painting

Time Limit: 1000MS Memory limit: 65536K

题目描述

You are visiting the Centre Pompidou which contains a lot of modern paintings. In particular you notice one painting which consists solely of black and white squares, arranged in rows and columns like in a chess board (no two adjacent squares have the same colour). By the way, the artist did not use the tool of problem A to create the painting.

Since you are bored, you wonder how many 8 × 8 chess boards are embedded within this painting. The bottom right corner of a chess board must always be white.

输入

The input contains several test cases. Each test case consists of one line with three integers n, m and c. (8 ≤ n, m ≤ 40000), where n is the number of rows of the painting, and m is the number of columns of the painting. c is always 0 or 1, where 0 indicates that the bottom right corner of the painting is black, and 1 indicates that this corner is white.

The last test case is followed by a line containing three zeros.

输出

For each test case, print the number of chess boards embedded within the given painting.

示例输入

8 8 0
8 8 1
9 9 1
40000 39999 0
0 0 0

示例输出

0
1
2
799700028

/*
这道题是一道简单的数学题，只要看懂提意就好做了。
由于棋盘的右下角的棋子颜色必须是已定下来的，白色的。（我忽略了一次然后WA了= =。。。）而且长宽均为8，
所以右下角的棋子位置的区域是可以定下来的，即（m-7）*（n-7），又因为棋盘颜色只有黑白两种，所以棋子的位
区域应该除以二，如果是以上的乘积得到是双数的话，无论右下角是什么颜色都是除以二，但是如果是单数的话，
会因为右下角的颜色影响结果。画图看一下就知道了。（建议用2*2代替8*8，效果是一样的）

*/
#include
#include<string.h>
int main()
{
long n,m,color,a;
while(scanf("%ld%ld%ld",&n,&m,&color)&&n||m||color)
    {
        n = n-7;
        m = m-7;
        a = m*n/2;
if(m%2&&n%2)//当得到的是一个奇数的时候（注意此处是m%2&&n%2,不能使两者相加，我因为这次WA了一次）
            a = a+color;
        printf("%ld\n",a);
    }
return 0;
}

转载于:https://www.cnblogs.com/0803yijia/archive/2012/03/10/2389250.html