UVA 11987

UVA 11987 - Almost Union-Find

题目链接

题意:给定一些集合,操作1是合并集合,操作2是把集合中一个元素移动到还有一个集合,操作3输出集合的个数和总和

思路:并查集,关键在于操作2,对于并查集,要去除掉一个结点,假设该结点不是根那就好办了,那么就多开n个结点,每一个结点初始父亲都是它的i + n,这样在移动的时候,就不用操心他是根结点了剩下就是普通的带权并查集了

代码:

#include <cstdio>
#include <cstring>

const int N = 200005;

int n, m, parent[N], num[N], sum[N];

int find(int x) {
    return x == parent[x] ? x : parent[x] = find(parent[x]);
}

void init() {
    for (int i = 0; i <= n; i++) {
	parent[i] = parent[i + n] = i + n;
	sum[i] = sum[i + n] = i;
	num[i] = num[i + n] = 1;
    }
}

int main() {
    while (~scanf("%d%d", &n, &m)) {
	int q, a, b;
	init();
	while (m--) {
	    scanf("%d", &q);
	    if (q == 1) {
		scanf("%d%d", &a, &b);
		int pa = find(a);
		int pb = find(b);
		if (pa == pb) continue;
		parent[pa] = pb;
		num[pb] += num[pa];
		sum[pb] += sum[pa];
	    }
	    else if (q == 2) {
		scanf("%d%d", &a, &b);
		int pa = find(a);
		int pb = find(b);
		if (pa == pb) continue;
		parent[a] = pb;
		num[pa]--;
		num[pb]++;
		sum[pa] -= a;
		sum[pb] += a;
	    }
	    else {
		scanf("%d", &a);
		int pa = find(a);
		printf("%d %d
", num[pa], sum[pa]);
	    }
	}
    }
    return 0;
}


原文地址:https://www.cnblogs.com/mfrbuaa/p/4174673.html