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hust 1625 Chessboard

2024-07-04 18:09:00   221人阅读

题目描述

Given an N*N(N<=1000)chessboard where you want to place chess knights.
On this chessboard you have to apply M(M<=100000) operations:

输入

The first line contains a single integer T, the number of test cases.
For each case,
The first line contains integer N, M.
The next M lines contain the operation in following form.
C a b x: place chess knight on cell(a,b), the value of the knight is x. (1<=a,b<=n, 1<=x<=100000)
It grants that cell(a,b) has no knight before the operation.
Q a b: answer the maximum value of knight which is connected with knight(a,b), include itself.
If cell (a,b)has no knight, just answer -1. A knight is directly connected with the knight on the left, 
right,  up  and  down.  Two  knights  are  connected  if  they  have  been  directly  connected  or 
interconnected through some other connected knights.
The initial chessboard is empty.

输出

For each question, output the answer in one line.

样例输入

1
3 7
C 2 2 1
Q 2 2
C 1 2 2
Q 2 2
C 3 3 3
Q 3 3
Q 1 1

样例输出

1
2
3
-1

一看题目，想到的方法就是BFS，然后就写了，
#include<iostream>
#include<cstdio>
#include<cstring>
#include<queue>
using namespace std;
const int maxn=1001;
int group[maxn][maxn];
bool vis[maxn][maxn];
int dx[4]={0,0,1,-1};
int dy[4]={-1,1,0,0};
 
struct node
{
    int x,y;
};
 
queue<node>q;
 
int main()
{
    int t,MAX,a,b,v,n,m,mm;
    char str[2];
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d",&n,&m);
        memset(group,0,sizeof(group));
        mm=0;
        while(m--)
        {
            scanf("%s",str);
            if (str[0]==‘C‘)
            {
                scanf("%d%d%d",&a,&b,&v);
                group[a][b]=v;
                mm=max(mm,v);
            }
            else
            {
                scanf("%d%d",&a,&b);
                if (group[a][b]==0) printf("-1\n");
                else
                {
                    MAX=group[a][b];
                    if (mm==MAX)
                    {
                        printf("%d\n",mm); continue;
                    }
                    memset(vis,0,sizeof(vis));
                    node temp;
                    temp.x=a; temp.y=b;
                    vis[a][b]=true;
                    q.push(temp);
                    while(!q.empty())
                    {
                        if (mm==MAX)
                        {
                            q.pop();
                            continue;
                        }
                        temp=q.front(); q.pop();
                        for (int i=0;i<4;i++)
                        {
                            int x=temp.x+dx[i];
                            int y=temp.y+dy[i];
                            if(!vis[x][y] && group[x][y]>0 && x>=1 && x<=n && y>=1 && y<=n)
                            {
                                vis[x][y]=true;
                                MAX=max(MAX,group[x][y]);
                                node temp1;
                                temp1.x=x; temp1.y=y;
                                q.push(temp1);
                            }
                        }
                    }
                    printf("%d\n",MAX);
                }
            }
        }
    }
    return 0;
}

但是大家都知道，超时了，后来想了想，完全符合并查集的知识啊

#include<iostream>
#include<cstdio>
#include<cstring>
#include<queue>
using namespace std;
const int maxn=2001;
 
int n,m;
struct node
{
    int root,MAX;
}p[maxn*maxn];
 
int dx[4]={0,0,1,-1};
int dy[4]={1,-1,0,0};
 
int find(int x)
{
    return p[x].root==x?x:p[x].root=find(p[x].root);
}
 
void init()
{
    int nn=n*n;
    for (int i=0;i<=nn;i++)
    {
        p[i].root=i;
        p[i].MAX=0;
    }
}
 
int main()
{
    int t,a,b,v;
    char str[2];
    scanf("%d",&t);
    while(t--)
    {
        scanf("%d%d",&n,&m);
        init();
        while (m--)
        {
            scanf("%s",str);
            if (str[0]==‘C‘)
            {
                scanf("%d%d%d",&a,&b,&v);
                int temp2=find((a-1)*n+b);
                p[temp2].MAX=max(v,p[temp2].MAX);
                for (int i=0;i<4;i++)
                {
                    int xx=a+dx[i];
                    int yy=b+dy[i];
                    if (xx>=1 && xx<=n && yy>=1 && yy<=n && p[find((xx-1)*n+yy)].MAX>0)
                    {
                        int temp1=find((xx-1)*n+yy);
                        if (temp1!=temp2) p[temp1].root=p[temp2].root;
                        p[temp2].MAX=max(p[temp1].MAX,p[temp2].MAX);
                    }
                }
            }
            else
            {
                scanf("%d%d",&a,&b);
                int temp=find((a-1)*n+b);
                if (p[temp].MAX>0)printf("%d\n",p[temp].MAX);
                else printf("-1\n");
            }
        }
    }
    return 0;
}

 


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