hdu 5929 Coconuts 离散化+dfs

Posted 2020-08-13 xjhz

Coconuts

Time Limit: 9000/4500 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)

Problem Description

TanBig, a friend of Mr. Frog, likes eating very much, so he always has dreams about eating. One day, TanBig dreams of a field of coconuts, and the field looks like a large chessboard which has R rows and C columns. In every cell of the field, there is one coconut. Unfortunately, some of the coconuts have gone bad. For sake of his health, TanBig will eat the coconuts following the rule that he can only eat good coconuts and can only eat a connected component of good coconuts one time(you can consider the bad coconuts as barriers, and the good coconuts are 4-connected, which means one coconut in cell (x, y) is connected to (x - 1, y), (x + 1, y), (x, y + 1), (x, y - 1).

Now TanBig wants to know how many times he needs to eat all the good coconuts in the field, and how many coconuts he would eat each time(the area of each 4-connected component).

 

 

Input

The first line contains apositiveinteger T(T≤10) which denotes the test cases. T test cases begin from the second line. In every test case, the first line contains two integers R and C, 0<R,C≤109 the second line contains an integer n, the number of bad coconuts, 0≤n≤200 from the third line, there comes n lines, each line contains two integers, xi and yi, which means in cell(xi,yi), there is a bad coconut.

It is guaranteed that in the input data, the first row and the last row will not have bad coconuts at the same time, the first column and the last column will not have bad coconuts at the same time.

 

 

Output

For each test case, output "Case #x:" in the first line, where x denotes the number of test case, one integer k in the second line, denoting the number of times TanBig needs, in the third line, k integers denoting the number of coconuts he would eat each time, you should output them in increasing order.

 

 

Sample Input

2 3 3 2 1 2 2 1 3 3 1 2 2

 

 

Sample Output

Case #1: 2 1 6 Case #2: 1 8

 

 

Source

2016CCPC东北地区大学生程序设计竞赛 - 重现赛

#include<bits/stdc++.h>
using namespace std;
#define ll long long
#define pi (4*atan(1.0))
#define eps 1e-14
const int N=1e3+500,M=4e6+10,inf=1e9+10,mod=1e9+7;
const ll INF=1e18+10;
int n,m,q;
struct point
{
    int x,y;
}a[N];
ll l[N];
int getpos(int x,int flag)
{
    return lower_bound(l,l+flag,x)-l;
}
int mp[N][N];
int vis[N][N];
int xx[4]={0,1,0,-1};
int yy[4]={-1,0,1,0};
int flag;
int nn,mm;
int check(int x,int y)
{
    if(x<0||x>nn||y<0||y>mm)
        return 0;
    return 1;
}
void dfs(int n,int m,int deep)
{
    vis[n][m]=deep;
    for(int i=0;i<4;i++)
    {
        int xxx=n+xx[i];
        int yyy=m+yy[i];
        if(check(xxx,yyy)&&!mp[xxx][yyy]&&!vis[xxx][yyy])
        {
            dfs(xxx,yyy,deep);
        }
    }
}
ll ans[100010];
ll getnum(int x)
{
    if(x==0)
    return l[x];
    return l[x]-l[x-1];
}
int main()
{
    int T,cas=1;
    scanf("%d",&T);
    while(T--)
    {
        flag=0;
        memset(mp,0,sizeof(mp));
        memset(vis,0,sizeof(vis));
        memset(ans,0,sizeof(ans));
        int kuai=1;
        scanf("%d%d",&n,&m);
        scanf("%d",&q);
        for(int i=1;i<=q;i++)
        {
            scanf("%d%d",&a[i].x,&a[i].y);
            l[flag++]=a[i].x;
            l[flag++]=a[i].y;
            if(a[i].x+1<=n)
            l[flag++]=a[i].x+1;
            if(a[i].y+1<=m)
            l[flag++]=a[i].y+1;
            if(a[i].x-1)
            l[flag++]=a[i].x-1;
            if(a[i].y-1)
            l[flag++]=a[i].y-1;
        }
        l[flag++]=1;
        if(n>=2||m>=2)
        l[flag++]=2;
        l[flag++]=n;
        l[flag++]=m;
        sort(l,l+flag);
        flag=unique(l,l+flag)-l;
        for(int i=1;i<=q;i++)
        {
            mp[getpos(a[i].x,flag)][getpos(a[i].y,flag)]=1;
        }
        nn=getpos(n,flag);
        mm=getpos(m,flag);
        for(int i=0;i<=nn;i++)
        {
            for(int t=0;t<=mm;t++)
            {
                if(!mp[i][t]&&!vis[i][t])
                {
                    dfs(i,t,kuai++);
                }
            }
        }
        for(int i=0;i<=nn;i++)
        {
            for(int t=0;t<=mm;t++)
            {
                if(vis[i][t])
                {
                    ans[vis[i][t]]+=getnum(i)*getnum(t);
                }
            }
        }
        printf("Case #%d:\n",cas++);
        printf("%d\n",kuai-1);
        if(kuai-1)
        {
            sort(ans+1,ans+kuai);
            printf("%lld",ans[1]);
            for(int i=2;i<kuai;i++)
            printf(" %lld",ans[i]);
            printf("\n");
        }
    }
    return 0;
}