bzoj4010: [HNOI2015]菜肴制作

传送门:http://www.lydsy.com/JudgeOnline/problem.php?id=4010

思路:显然最小字典序是错误的,那么应该怎么求?


直接选小的在前不一定对,但是如果没有都没有后继,大的在后面一定是对的

所以考虑倒着DP,求出最大拓扑序,反向输出即可


#include<queue>
#include<cstdio>
#include<cstring>
#include<iostream>
#include<algorithm>
const int maxn=200010;
using namespace std;
int cas,n,m,pre[maxn],now[maxn],son[maxn],in[maxn],num,ans[maxn],tot;
struct li{int x,y;}l[maxn];
bool cmp(li a,li b){return a.x==b.x?a.y<b.y:a.x<b.x;}
void add(int a,int b){pre[++tot]=now[a],now[a]=tot,son[tot]=b,in[b]++;}
void clear(){tot=num=0,memset(now,0,sizeof(now)),memset(in,0,sizeof(in));}

bool topsort(){
	int cnt=n;
	priority_queue<int> q;
	for (int i=1;i<=n;i++) if (!in[i]) q.push(i);
	while (!q.empty()){
		int x=q.top();ans[cnt--]=x,q.pop();
		for (int y=now[x];y;y=pre[y]) if (!(--in[son[y]])) q.push(son[y]);
	}
	return !cnt;
}

int main(){
	scanf("%d",&cas);
	while (cas--){
		scanf("%d%d",&n,&m),clear();
		for (int i=1;i<=m;i++) scanf("%d%d",&l[i].x,&l[i].y);
		sort(l+1,l+1+m,cmp);
		for (int i=1;i<=m;i++) if (l[i].x!=l[i-1].x||l[i].y!=l[i-1].y) add(l[i].y,l[i].x);
		
		if (!topsort()) puts("Impossible!");
		else {for (int i=1;i<=n;i++) printf("%d ",ans[i]);puts("");}
	}
	return 0;
}


原文地址:https://www.cnblogs.com/thythy/p/5493499.html