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<stdio.h>
#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;
}