Chessboard
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1434 Accepted Submission(s): 589
Problem Description
Consider the problem of tiling an n×n chessboard by polyomino pieces that are k×1 in size; Every one of the k pieces of each polyomino tile must align exactly with one of the chessboard squares. Your task is to figure out the maximum number of chessboard squares tiled.
Input
There are multiple test cases in the input file.
First line contain the number of cases T (T≤10000).
In the next T lines contain T cases , Each case has two integers n and k. (1≤n,k≤100)
Output
Print the maximum number of chessboard squares tiled.
Sample Input
2
6 3
5 3
Sample Output
36
24
Source
问题链接:HDU5100 Chessboard
题解:http://www.matrix67.com/blog/archives/5900
AC的C++程序:
#include<iostream>
using namespace std;
int solve(int n,int k)
{
if(n<k) //棋盘还比一个矩阵小返回0
return 0;
int m=n%k;
if(m<=k/2)
return n*n-m*m;
else
return n*n-(k-m)*(k-m);
}
int main()
{
int t,n,k;
scanf("%d",&t);
while(t--)
{
scanf("%d%d",&n,&k);
printf("%d\n",solve(n,k));
}
return 0;
}