82 lines
1.9 KiB
C++
82 lines
1.9 KiB
C++
#include <bits/stdc++.h>
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using namespace std;
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const int N = 30001;
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int sum[N]; //每个集合人数
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int fa[N]; //并查集数组
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/**
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测试数据
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100 4
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2 1 2
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5 10 13 11 12 14
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2 0 1
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2 99 2
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200 2
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1 5
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5 1 2 3 4 5
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1 0
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0 0
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答案:
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4
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1
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1
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*/
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//要深入理解这个递归并压缩的过程
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int find(int x) {
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if (fa[x] != x) fa[x] = find(fa[x]);
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return fa[x];
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}
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/*
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//查询+带路径压缩(循环版本,非递归)
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int find(int x) {
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int k, j, r;
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r = x;
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while (r != fa[r]) r = fa[r]; //查找跟节点
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//找到跟节点,用r记录下
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k = x;
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while (fa[k] != r) //非递归路径压缩操作
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{
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j = fa[k]; //用j暂存parent[k]的父节点
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fa[k] = r; //parent[x]指向跟节点
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k = j; //k移到父节点
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}
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return r; //返回根节点的值
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}*/
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//合并并查集
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void join(int a, int b) {
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int x = find(a), y = find(b);
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if (x != y) {
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fa[y] = x;
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//人数合并 路径压缩过程中,也是可以处理附带信息的,并非按秩的就好。
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sum[x] += sum[y];
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}
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}
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int n, m, K, x, y;
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int main() {
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while (cin >> n >> m) {
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//输入为 0 0 结束
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if (n == 0 && m == 0) return 0;
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//初始化
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for (int i = 0; i < n; i++) { //因为有0号学生,所以数组遍历从0开始
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fa[i] = i; //每个学生自己是自己的祖先
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sum[i] = 1; //集合中总人数,初始值是1
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}
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for (int i = 0; i < m; i++) {
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cin >> k >> x;
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k--;
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while (k--) {
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cin >> y;
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join(x, y);
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}
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}
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cout << sum[find(0)] << endl; //寻找0号学生相关集合的总人数
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}
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return 0;
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} |