【POI 2007】Ridges and Valleys山峰和山谷(GRZ)

  http://www.zybbs.org/JudgeOnline/problem.php?id=1102

  八中题目描述太DT了……还是看这里:

  http://main.edu.pl/en/archive/oi/14/grz

  

  水题不解释……(我颓废了)

  bfs记录一下高度相同的联通块,然后暴力枚举联通块的周围有木有比他还高(矮)的……完了……

#include <iostream>
#include <cstdio>
#include <cstring>
#include <cstdlib>
using namespace std;

const int px[8]={-1,-1,0,1,1,1,0,-1};
const int py[8]={0,1,1,1,0,-1,-1,-1};
int map[1001][1001],x[1000001],y[1000001],n,valleys,ridges;
bool vis[1001][1001];

bool check(int pos,char sym){
	for(int k=1;k<=pos;k++)
		for(int i=0;i<8;i++){
			int xx=x[k]+px[i],yy=y[k]+py[i];
			if(!(xx>0&&xx<=n&&yy>0&&yy<=n)) continue;
			if((sym=='v'&&map[xx][yy]<map[x[k]][y[k]])||(sym=='r'&&map[xx][yy]>map[x[k]][y[k]])) return false;
		}
	return true;
}			

void bfs(int posx,int posy){
	int head=1,tail=0,xx,yy;
	x[++tail]=posx,y[tail]=posy;
	while(head<=tail){
		for(int i=0;i<8;i++){
			xx=x[head]+px[i],yy=y[head]+py[i];
			if(!(xx>0&&xx<=n&&yy>0&&yy<=n&&map[xx][yy]==map[posx][posy]&&!vis[xx][yy])) continue;
			vis[xx][yy]=true;
			x[++tail]=xx,y[tail]=yy;
		}
		head++;
	}
	if(check(tail,'v')) valleys++;
	if(check(tail,'r')) ridges++;
}

int main(){
	scanf("%d",&n);
	for(int i=1;i<=n;i++)
		for(int j=1;j<=n;j++) scanf("%d",&map[i][j]);
	memset(vis,false,sizeof(vis));
	for(int i=1;i<=n;i++)
		for(int j=1;j<=n;j++)
			if(!vis[i][j]) bfs(i,j);
	printf("%d %d\n",ridges,valleys);
	return 0;
}
原文地址:https://www.cnblogs.com/Delostik/p/2134526.html