How Many Tables HDU-1213 并查集

Today is Ignatius’ birthday. He invites a lot of friends. Now it’s dinner time. Ignatius wants to know how many tables he needs at least. You have to notice that not all the friends know each other, and all the friends do not want to stay with strangers.

One important rule for this problem is that if I tell you A knows B, and B knows C, that means A, B, C know each other, so they can stay in one table.

For example: If I tell you A knows B, B knows C, and D knows E, so A, B, C can stay in one table, and D, E have to stay in the other one. So Ignatius needs 2 tables at least.

input

The input starts with an integer T(1<=T<=25) which indicate the number of test cases. Then T test cases follow. Each test case starts with two integers N and M(1<=N,M<=1000). N indicates the number of friends, the friends are marked from 1 to N. Then M lines follow. Each line consists of two integers A and B(A!=B), that means friend A and friend B know each other. There will be a blank line between two cases.

2
5 3
1 2
2 3
4 5

5 1
2 5

output

For each test case, just output how many tables Ignatius needs at least. Do NOT print any blanks.

2
4

code

//Siberian Squirrel
//#include<bits/stdc++.h>
#include<unordered_map>
#include<algorithm>
#include<iostream>
#include<cstring>
#include<cstdio>
#include<string>
#include<cmath>

#define ACM_LOCAL

using namespace std;
typedef long long ll;

const double PI = acos(-1);
const double eps = 1e-7;
const int inf = 0x3f3f3f3f;
const int MOD = 1e9 + 7;
const int N = 4e5 + 10;
const int UP = 1e2 + 10;

int pre[N];
int ans;

void Init(int n){
    
    
    for(int i = 0; i <= n; ++ i){
    
    
        pre[i] = i;
    }
    ans = n;
}

int Find(int x){
    
    
    if(x != pre[x]){
    
    
        pre[x] = Find(pre[x]);
    }
    return pre[x];
}

void merge(int x, int y){
    
    
    int fx = Find(x);
    int fy = Find(y);
    if(fx != fy){
    
    
        pre[fy] = fx;
        ans --;
    }
}

inline int solve(int n, int m, ll res = 0) {
    
    
    Init(n);
    int x, y;
    for(int i = 1; i <= m; ++ i) {
    
    
        scanf("%d%d", &x, &y);
        merge(x, y);
    }
    return ans;
}

int main() {
    
    
#ifdef ACM_LOCAL
    freopen("input", "r", stdin);
    freopen("output", "w", stdout);
#endif
    int o = 1, n, m;
    scanf("%d", &o);
    while(o --) {
    
    
        scanf("%d%d", &n, &m);
        printf("%d\n", solve(n, m));
    }
    return 0;
}

猜你喜欢

转载自blog.csdn.net/qq_46173805/article/details/113823321