codeforces466E 并查集+离线处理+dfs

题目大意:一开始有n个员工,它们互相独立,现有三种操作:

1 x  y    y称为x的上级

2 x       从x发起一份文件,依次向上级传阅。文件编号依次递增

3 x y    问x是否查阅过编号为y的文件


思路:最暴力的解法就是模拟他的规则,但是这样明显超时。此时,想到了离线操作。我们可以用并查集确定每份文件的发起者和终结者,即文件移动的范围。。然后对于每次询问可以拆成两个标记 ,假设查询x是否浏览过第k号文件,第k号文件的范围为u-v,那么在最后dfs时,遍历到x,判断是否经过u;遍历到v时,判断是否经过x。如果两个都满足,则是YES。(此处参考他人做法)


#include <iostream>
#include <cstdio>
#include <string>
#include <cstring>
#include <fstream>
#include <algorithm>
#include <cmath>
#include <queue>
#include <stack>
#include <vector>
#include <map>
#include <set>
#include <iomanip>

using namespace std;
//#pragma comment(linker, "/STACK:102400000,102400000")
#define maxn 200005
#define MOD 1000000007
#define mem(a , b) memset(a , b , sizeof(a))
#define LL long long
#define ULL unsigned long long
typedef pair<int , int> pii;
const long long INF=0x3fffffff;
int n , m;
int fa[maxn] , vis[maxn] , ans[maxn];
vector<int>v[maxn];
vector<pii>q[maxn];
struct node
{
    int st , ed;
}rang[maxn] , tmp;

int findfa(int a )
{
    if(fa[a] == a) return a;
    else return fa[a] = findfa(fa[a] );
}

void dfs(int u )
{
    vis[u] = 1;
    for (int i = 0; i < v[u].size(); i++)
        dfs(v[u][i]);

    for (int i = 0; i < q[u].size(); i++) 
    {
        int v = q[u][i].first, id = q[u][i].second;
        if (vis[v])
            ans[id]++;
    }
    vis[u] = 0;
}

int main()
{
    while(scanf("%d %d" , &n , &m) != EOF)
    {
        mem(ans , 0 ) ;
        int op , x , y , pos = 1 , K = 1;
        for(int i = 0 ; i <= n ; i ++) fa[i] = i , v[i].clear();
        for(int i = 1 ; i <= m ; i ++)
        {
            scanf("%d" , &op);
            if(op == 1)
            {
                scanf("%d %d" , &x , &y);
                fa[x] = y;
                v[y].push_back(x);
            }
            else if(op == 2)
            {
                scanf("%d" , &x);
                rang[pos].st = x;
                rang[pos++].ed = findfa(x );
            }
            else
            {
                scanf("%d %d" , &x , &y);
                pii u = make_pair(rang[y].ed , rang[y].st);

                q[x].push_back(make_pair(u.first, K));    //将K号文件终止节点加入x ,当dfs到x时<span style="font-family: 'Helvetica Neue', Arial, 'Hiragino Sans GB', STHeiti, 'Microsoft YaHei', 'WenQuanYi Micro Hei', SimSun, Song, sans-serif; line-height: 17.230770111084px; white-space: pre-wrap;">,判断是否经过文件的终止点</span>
                q[u.second].push_back(make_pair(x, K));   // 将查询的x放入K号文件的起点,dfs到K的起点时,判断是否经过x
                K++;
            }
        }
        for(int i = 1 ; i <= n ;i ++)
        {
            if(fa[i] == i)
                dfs(i);
        }
        for(int i = 1 ; i < K ; i ++)
        {
            if(ans[i] == 2) printf("YES\n");
            else printf("NO\n");
        }
    }
    return 0;
}


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