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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#426381#6329. Colorful GraphqawszxWA 544ms11068kbC++203.7kb2024-05-31 09:37:212024-05-31 09:37:22

Judging History

你现在查看的是最新测评结果

  • [2024-05-31 09:37:22]
  • 评测
  • 测评结果:WA
  • 用时:544ms
  • 内存:11068kb
  • [2024-05-31 09:37:21]
  • 提交

answer

#include<cstdio>
#include<vector>
#include<queue>
#include<cstring>
#include<iostream>
#include<algorithm>
#include<set>
#include<map>
#include<ctime>
#include<random>
#include<array>
#include<assert.h>
#define pb emplace_back
#define mp make_pair
#define fi first
#define se second
#define dbg(x) cerr<<"In Line "<< __LINE__<<" the "<<#x<<" = "<<x<<'\n'
#define dpi(x,y) cerr<<"In Line "<<__LINE__<<" the "<<#x<<" = "<<x<<" ; "<<"the "<<#y<<" = "<<y<<'\n'
#define DE(fmt,...) fprintf(stderr, "Line %d : " fmt "\n",__LINE__,##__VA_ARGS__)
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
typedef pair<int,int>pii;
typedef pair<ll,int>pli;
typedef pair<ll,ll>pll;
typedef pair<int,ll>pil;
typedef vector<int>vi;
typedef vector<ll>vll;
typedef vector<pii>vpii;
typedef vector<pll>vpll;
template<typename T>T cmax(T &x, T y){return x=x>y?x:y;}
template<typename T>T cmin(T &x, T y){return x=x<y?x:y;}
template<typename T>
T &read(T &r){
	r=0;bool w=0;char ch=getchar();
	while(ch<'0'||ch>'9')w=ch=='-'?1:0,ch=getchar();
	while(ch>='0'&&ch<='9')r=r*10+(ch^48),ch=getchar();
	return r=w?-r:r;
}
template<typename T1,typename... T2>
void read(T1 &x,T2& ...y){read(x);read(y...);}
const int N=7010;
const int M=1000010;
const int inf=0x7fffffff;
const ll INF=0x7fffffffffffffff;
int tot,S,T;
int head[M],cur[M],dis[M],ent=1;
struct Edge{
	int nxt,to,fl;
}e[M<<1];
inline void adde(int x,int y,int w){
	e[++ent]={head[x],y,w};head[x]=ent;
	e[++ent]={head[y],x,0};head[y]=ent;
}
int bfs(){
	for(int i=1;i<=tot;i++)dis[i]=inf,cur[i]=head[i];
	dis[S]=0;queue<int>q;q.push(S);
	while(!q.empty()){
		int x=q.front();q.pop();
		for(int i=head[x];i;i=e[i].nxt){
			int v=e[i].to,w=e[i].fl;
			if(w){
				if(dis[v]>dis[x]+1){
					dis[v]=dis[x]+1;
					q.push(v);
				}
			}
		}
	}
	return dis[T]!=inf;
}
ll dfs(int x,ll flow){
	if(x==T)return flow;
	ll flo=0;
	for(int i=cur[x];i&&flo<flow;i=e[i].nxt){
		cur[x]=i;
		int v=e[i].to;ll w=e[i].fl;
		if(dis[v]==dis[x]+1&&w){
			ll fl=dfs(v,min(flow-flo,w));
			flo+=fl;e[i].fl-=fl;
			e[i^1].fl+=fl;
		}
	}
	return flo;
}
ll dinic(){
	ll mxfl=0;
	while(bfs()){
		mxfl+=dfs(S,INF);
	}
	return mxfl;
}
int n,m;
int dfn[N],low[N],st[N],top,col[N],sct,dft;
vector<int>eg[N];
void tarjan(int x){
	dfn[x]=low[x]=++dft;st[++top]=x;
	for(auto v:eg[x]){
		if(!dfn[v]){
			tarjan(v);
			cmin(low[x],low[v]);
		}
		else if(!col[v])cmin(low[x],dfn[v]);
	}
	if(dfn[x]==low[x]){
		++sct;
		while(1){
			int t=st[top--];
			col[t]=sct;
			if(t==x)break;
		}
	}
}
int fa[N],a[N];
int okl[N],okr[N];
int getfa(int x){return fa[x]==x?x:fa[x]=getfa(fa[x]);}
void getans(int x,int t){
	for(int i=head[x];i;i=e[i].nxt){
		if(i%2==0){
			if(e[i].fl){
				int v=e[i].to;
				if(v>n&&v<=2*n){
					if(okr[v-n]){
						fa[getfa(t)]=getfa(v-n);
						okr[v-n]=0;
						return ;
					}
				}
				if(v>=1&&v<=2*n){
					e[i].fl--;
					getans(v,t);
					return ;
				}
			}
		}
	}
}
int main(){
	read(n);read(m);
	for(int i=1;i<=m;i++){
		int u,v;read(u);read(v);
		eg[u].pb(v);
	}
	for(int i=1;i<=n;i++)if(!dfn[i])tarjan(i);
	int t=n;
	n=sct;
	S=2*n+1;T=tot=S+1;
	for(int i=1;i<=t;i++)for(auto j:eg[i])
		if(col[i]!=col[j])
			adde(col[i],col[j]+n,inf);
	for(int i=1;i<=n;i++)adde(S,i,1),adde(i+n,T,1),adde(i+n,i,inf);
	// cout<<n-dinic()<<'\n';
	dinic();
	for(int i=1;i<=n;i++)fa[i]=i;
	for(int i=head[S];i;i=e[i].nxt){
		if(!e[i].fl){
			okl[e[i].to]=1;
		}
	}
	for(int i=head[T];i;i=e[i].nxt){
		if(e[i].fl){
			okr[e[i].to-n]=1;
		}
	}
	for(int i=1;i<=n;i++)
		if(okl[i])
			getans(i,i);
	int cnt=0;
	for(int i=1;i<=n;i++)if(getfa(i)==i)a[i]=++cnt;
	for(int i=1;i<=t;i++){
		cout<<a[getfa(col[i])]<<' ';
	}
	return 0;
}

Details

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Test #1:

score: 100
Accepted
time: 0ms
memory: 7764kb

input:

5 5
1 4
2 3
1 3
2 5
5 1

output:

2 2 2 1 2 

result:

ok AC

Test #2:

score: 0
Accepted
time: 2ms
memory: 9660kb

input:

5 7
1 2
2 1
4 3
5 1
5 4
4 1
4 5

output:

1 1 2 1 1 

result:

ok AC

Test #3:

score: 0
Accepted
time: 0ms
memory: 7944kb

input:

8 6
6 1
3 4
3 6
2 3
4 1
6 4

output:

1 1 1 1 2 1 3 4 

result:

ok AC

Test #4:

score: -100
Wrong Answer
time: 544ms
memory: 11068kb

input:

7000 6999
4365 4296
2980 3141
6820 4995
4781 24
2416 5844
2940 2675
3293 2163
3853 5356
262 6706
1985 1497
5241 3803
353 1624
5838 4708
5452 3019
2029 6161
3849 4219
1095 1453
4268 4567
1184 1857
2911 3977
1662 2751
6353 6496
2002 6628
1407 4623
425 1331
4445 4277
1259 3165
4994 1044
2756 5788
5496 ...

output:

1750 1657 1326 1564 1751 1752 1751 1365 1110 1505 1750 1750 1753 1750 1519 1754 516 1755 1061 25 1257 585 1751 1498 1662 1756 1757 1755 1404 1758 1171 1198 1759 1760 1357 1358 286 1761 1751 1762 1525 1158 1763 534 1764 687 1765 1751 1766 1767 890 1768 1292 1751 1647 187 1750 1769 1031 1770 1192 1751...

result:

wrong answer Integer 1751 violates the range [1, 1750]