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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#359325#6329. Colorful Graphucup-team1004TL 3498ms11172kbC++142.1kb2024-03-20 16:26:202024-03-20 16:26:21

Judging History

你现在查看的是最新测评结果

  • [2024-03-20 16:26:21]
  • 评测
  • 测评结果:TL
  • 用时:3498ms
  • 内存:11172kb
  • [2024-03-20 16:26:20]
  • 提交

answer

#include<bits/stdc++.h>
using namespace std;
using ll=long long;
#define all(a) (a).begin(),(a).end()
#ifdef DEBUG
template<class T>
ostream& operator << (ostream &out,vector<T> a){
	out<<'[';
	for(T x:a)out<<x<<',';
	return out<<']';
}
template<class T>
vector<T> ary(T *a,int l,int r){
	return vector<T>{a+l,a+1+r};
}
template<class T>
void debug(T x){
	cerr<<x<<endl;
}
template<class T,class...S>
void debug(T x,S...y){
	cerr<<x<<' ',debug(y...);
}
#else
#define debug(...) void()
#endif
const int N=7e3+10,INF=1e9;
int n,m,col[N];
vector<int>to[N],tr[N];
int dft,sct,dfn[N],low[N],scc[N];
void tarjan(int u){
	static int top,stk[N];
	dfn[u]=low[u]=++dft,stk[++top]=u;
	for(int v:to[u]){
		if(!dfn[v])tarjan(v),low[u]=min(low[u],low[v]);
		else if(!scc[v])low[u]=min(low[u],dfn[v]);
	}
	if(low[u]==dfn[u]){
		sct++;
		do scc[stk[top]]=sct;while(stk[top--]^u);
	}
}
bitset<N>a[N],vis;
int match[N],now[N];
bool dfs(int u,int t){
	if(now[u]==t)return 0;
	now[u]=t;
	for(int v=a[u]._Find_first();v<=sct;v=a[u]._Find_next(v)){
		if(!match[v]||dfs(match[v],t))return match[v]=u,1;
	}
	return 0;
}
int main(){
	cin>>n>>m;
	for(int u,v;m--;){
		cin>>u>>v,to[u].push_back(v);
	}
	for(int i=1;i<=n;i++){
		if(!dfn[i])tarjan(i);
	}
	for(int i=1;i<=n;i++)scc[i]=sct-scc[i]+1;
	for(int u=1;u<=n;u++){
		for(int v:to[u]){
			if(scc[u]!=scc[v]){
				tr[scc[v]].push_back(scc[u]);
			}
		}
	}
	for(int i=sct;i>=1;i--){
		a[i][i]=1;
		for(int j:tr[i])a[j]|=a[i];
	}
	for(int i=1;i<=sct;i++)a[i][i]=0;
	// for(int i=1;i<=sct;i++){
	// 	for(int j=1;j<=sct;j++){
	// 		if(to[i][j])debug(i,j);
	// 	}
	// }
	static int cur[N],is[N];
	static mt19937 rnd(time(0));
	iota(cur,cur+1+sct,0);
	shuffle(cur+1,cur+1+sct,rnd);
	for(int T=1;;T++){
		int flag=0;
		for(int x:cur){
			if(!is[x]&&dfs(x,T)){
				is[x]=flag=1;
			}
		}
		if(!flag)break;
		debug(T);
	}
	vis.reset();
	for(int i=1;i<=sct;i++)vis[match[i]]=1;
	for(int i=1,x=0;i<=sct;i++)if(!vis[i]){
		x++;
		for(int u=i;u;u=match[u])col[u]=x;
	}
	for(int i=1;i<=n;i++)printf("%d%c",col[scc[i]],"\n "[i<n]);
	return 0;
}

详细

Test #1:

score: 100
Accepted
time: 0ms
memory: 4296kb

input:

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

output:

1 1 1 2 1

result:

ok AC

Test #2:

score: 0
Accepted
time: 1ms
memory: 6320kb

input:

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

output:

2 2 1 1 1

result:

ok AC

Test #3:

score: 0
Accepted
time: 1ms
memory: 4272kb

input:

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

output:

4 4 4 4 3 4 2 1

result:

ok AC

Test #4:

score: 0
Accepted
time: 3498ms
memory: 11172kb

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:

649 137 507 413 882 618 404 715 785 246 508 314 986 556 788 373 1235 325 910 1726 966 1166 1716 753 176 862 1345 499 889 1579 580 582 1012 1746 774 440 1465 947 403 641 226 969 716 1217 1442 1064 1597 457 423 1368 870 642 459 1151 345 1564 223 481 720 719 599 801 815 1451 1593 1382 1063 686 424 1272...

result:

ok AC

Test #5:

score: 0
Accepted
time: 26ms
memory: 10892kb

input:

7000 6999
4832 1603
5984 6985
5355 3687
6007 2170
5984 3486
3267 2189
538 2123
4343 4553
5855 6168
5984 257
4239 2304
5984 2063
3298 1869
5984 6353
5984 2018
5984 5387
5984 3382
3164 3978
2690 2816
4810 2638
5984 3773
5984 1634
5984 2786
5984 3671
5984 5140
2943 5721
5984 414
1105 4060
3093 796
5984...

output:

1171 962 1716 1869 611 855 1448 1663 302 1744 736 1818 1125 1060 1591 792 1850 1597 576 4 1632 621 239 1102 975 1868 1486 438 1552 766 670 110 274 1377 495 1410 963 1860 2217 2199 2021 2097 1147 26 488 852 2313 1961 1502 761 2316 801 31 2130 523 249 831 2205 1080 601 829 342 148 736 1529 776 1159 17...

result:

ok AC

Test #6:

score: -100
Time Limit Exceeded

input:

7000 6999
1649 5337
1701 3344
4394 2172
3330 39
5932 1141
5381 5340
5453 3300
125 2172
6810 5263
804 2172
6635 2172
676 4740
3015 1183
1710 5769
611 5915
3419 1581
2094 2172
4508 2172
6604 2433
6113 1466
1604 696
1518 1123
1287 2940
4825 2172
5130 4524
2693 2172
106 2172
5157 2172
3693 2172
5198 217...

output:


result: