HNUOJ_10089

本文探讨了HNUOJ中编号为10089的算法问题,原本预期使用动态规划解决,但作者发现并分享了一个更为直接和简洁的解题方法。

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Cornfields
Time Limit: 2000ms, Special Time Limit:5000ms, Memory Limit:32768KB
Total submit users: 265, Accepted users: 229
Problem 10089 : No special judgement
Problem description
FJ has decided to grow his own corn hybrid in order to help the cows make the best possible milk. To that end, he's looking to build the cornfield on the flattest piece of land he can find.

FJ has, at great expense, surveyed his square farm of N x N hectares (1 <= N <= 250). Each hectare has an integer elevation (0 <= elevation <= 250) associated with it.

FJ will present your program with the elevations and a set of K (1 <= K <= 100,000) queries of the form "in this B x B submatrix, what is the maximum and minimum elevation?". The integer B (1 <= B <= N) is the size of one edge of the square cornfield and is a constant for every inquiry. Help FJ find the best place to put his cornfield.

Input
* Line 1: Three space-separated integers: N, B, and K.

* Lines 2..N+1: Each line contains N space-separated integers. Line 2 represents row 1; line 3 represents row 2, etc. The first integer on each line represents column 1; the second integer represents column 2; etc.

* Lines N+2..N+K+1: Each line contains two space-separated integers representing a query. The first integer is the top row of the query; the second integer is the left column of the query. The integers are in the range 1..N-B+1.

Output
* Lines 1..K: A single integer per line representing the difference between the max and the min in each query.
Sample Input
5 3 1
5 1 2 6 3
1 3 5 2 7
7 2 4 6 1
9 9 8 6 5
0 6 9 3 9
1 2
Sample Output
5
Judge Tips
Dynamic Programming
Problem Source
USACO

本来这道题应该用动态规划来解答

但显然

有一个更加直接简便的方法

#include<stdio.h>
#define maxN 250
int f[maxN][maxN];
int main()
{
	int N,B,K;
	int i,j;
	int x,y,X,Y;
    //int t1-0,t2=250;    
	scanf("%d%d%d",&N,&B,&K);
	for(i=1;i<=N;i++)
	{
		for(j=1;j<=N;j++)
		{
			scanf("%d",&f[i][j]);
		}
	}
	while(K--)
	{
		scanf("%d%d",&x,&y);
		X=x+B-1;
		Y=y+B-1;
		int t1=0,t2=250;
		for(i=x;i<=X;i++)
		{
			for(j=y;j<=Y;j++)
			{
				if(f[i][j]>t1)
			    {
			    	t1=f[i][j];				
			    }
				if(f[i][j]<t2)
			    {
			    	t2=f[i][j];				
			    }
			}
		}
		printf("%d\n",t1-t2);
    }
	return 0;
}


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