• 逃生(拓扑排序)


    题目链接
    题意:n个人编号1-n,有m种限制关系,u、v表示u必须在v前面,编号小尽量放前面。给出编号顺序。
    解法:建立一个反图,跑一边字典序最大的拓扑排序,最后再把这个排序倒过来就是答案了。
    参考博客

    #include<bits/stdc++.h>
    #include <cstdio>
    #include <cstring>
    #include <cmath>
    #include <algorithm>
    #include <iostream>
    #include <string>
    #include <stdio.h>
    #include <queue>
    #include <stack>
    #include <map>
    #include <set>
    #include <string.h>
    #include <vector>
    #include <stdlib.h>
    #include <time.h>
    using namespace std;
    typedef long long ll ;
    #define int ll
    #define mod 10000
    #define gcd __gcd
    #define rep(i , j , n) for(int i = j ; i <= n ; i++)
    #define red(i , n , j)  for(int i = n ; i >= j ; i--)
    #define ME(x , y) memset(x , y , sizeof(x))
    //int lcm(int a , int b){return a*b/gcd(a,b);}
    //ll quickpow(ll a , ll b){ll ans=1;while(b){if(b&1)ans=ans*a%mod;b>>=1,a=a*a%mod;}return ans;}
    //int euler1(int x){int ans=x;for(int i=2;i*i<=x;i++)if(x%i==0){ans-=ans/i;while(x%i==0)x/=i;}if(x>1)ans-=ans/x;return ans;}
    //const int N = 1e7+9; int vis[n],prime[n],phi[N];int euler2(int n){ME(vis,true);int len=1;rep(i,2,n){if(vis[i]){prime[len++]=i,phi[i]=i-1;}for(int j=1;j<len&&prime[j]*i<=n;j++){vis[i*prime[j]]=0;if(i%prime[j]==0){phi[i*prime[j]]=phi[i]*prime[j];break;}else{phi[i*prime[j]]=phi[i]*phi[prime[j]];}}}return len}
    #define INF  0x3f3f3f3f
    #define PI acos(-1)
    #define pii pair<int,int>
    #define fi first
    #define se second
    #define lson l,mid,root<<1
    #define rson mid+1,r,root<<1|1
    #define pb push_back
    #define mp make_pair
    #define all(v) v.begin(),v.end()
    #define size(v) (int)(v.size())
    #define cin(x) scanf("%lld" , &x);
    const int N = 11;
    const int maxn = 3e4+9;
    const double esp = 1e-6;
    int in[maxn] , n, m;
    vector<int>g[maxn];
    
    
    void init(){
        ME(in , 0);
        rep(i , 1 , n){
            g[i].clear();
        }
    }
    void tuopu(){
        vector<int>ans;
        priority_queue<int>q;
        rep(i , 1 , n){
            if(!in[i]){
                q.push(i);
            }
        }
        while(!q.empty()){
            int u = q.top();q.pop();
            ans.pb(u);
            for(auto &v : g[u]){
                in[v]--;
                if(!in[v]){
                    q.push(v);
                }
            }
        }
        for(int i = size(ans)-1 ; i > 0 ; i--)
            cout << ans[i] << " ";
        cout << ans[0] << endl;
    }
    
    void solve(){
        scanf("%lld%lld" , &n , &m);
        init();
        rep(i , 1 , m){
            int u , v;
            scanf("%lld%lld" , &u , &v);
            g[v].pb(u);
            in[u]++;
        }
        tuopu();
    }
    signed main()
    {
        //ios::sync_with_stdio(false);
        int t ;
        scanf("%lld" , &t);
        while(t--)
            solve();
    }
    
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  • 原文地址:https://www.cnblogs.com/nonames/p/12670900.html
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