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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
#214616#2681. How Many Paths?Super_Leo661007198ms21044kbC++111.4kb2024-11-20 20:42:082024-11-20 23:06:16

answer

#include<bits/stdc++.h>
#define int long long
using namespace std;
const int N=1e5+5;
vector<int> G[N],E[N];
int n,m,dfn[N],low[N],s[N],top,TIME,cnt,scc[N],sz[N],a[N],deg[N];
bool inst[N];
void tarjan(int x){
	dfn[x]=low[x]=++TIME;
	inst[x]=true,s[++top]=x;
	for(int v:G[x]){
		if(!dfn[v]){
			tarjan(v);
			low[x]=min(low[x],low[v]);
		} else if(inst[v]) low[x]=min(low[x],dfn[v]);
	}
	if(dfn[x]==low[x]){
		cnt++;
		while(true){
			int u=s[top];top--;
			inst[u]=0;
			scc[u]=cnt;
			sz[cnt]++;
			if(u==x) break;
		}
	}
}
queue<int> q;
signed main(){
	cin>>n>>m;
	for(int i=1;i<=m;i++){
		int u,v;cin>>u>>v;
		G[u].push_back(v);
	}
	for(int i=1;i<=n;i++) if(!dfn[i]) tarjan(i);
	for(int u=1;u<=n;u++)
		for(int v:G[u]){
			if(scc[u]==scc[v]) continue;
			E[scc[u]].push_back(scc[v]);
		}
	for(int i=1;i<=cnt;i++){
		sort(E[i].begin(),E[i].end());
		unique(E[i].begin(),E[i].end());
	}
	for(int i=1;i<=cnt;i++)
		if(sz[i]>1) a[i]=1e16;
		else if(scc[1]==i) a[i]=1;
	for(int u=1;u<=cnt;u++)
		for(int v:E[u]) deg[v]++;
	for(int i=1;i<=cnt;i++) if(!deg[i]) q.push(i);
//	cout<<scc[2]<<endl;
	while(!q.empty()){
		int u=q.front();q.pop();
		for(int v:E[u]){
			a[v]+=a[u];
			if(!--deg[v]) q.push(v);
		}
	}
	for(int i=1;i<=n;i++)
		if(!a[scc[i]]) cout<<0<<" ";
		else if(a[scc[i]]==1) cout<<1<<" ";
		else if(a[scc[i]]>1&&a[scc[i]]<(int)(1e13)) cout<<2<<" ";
		else cout<<3<<" "; 
	cout<<endl;
	return 0;
}

详细

小提示:点击横条可展开更详细的信息

Test #1:

score: 5
Accepted
time: 411ms
memory: 20796kb

input:

50000 500000
27433 23782
1927 1159
20346 8794
27393 18828
40557 32372
29462 34217
31695 6752
2253 19...

output:

1 2 0 2 0 0 2 0 2 2 0 2 0 2 2 0 0 2 2 0 2 2 0 2 2 0 1 2 2 2 0 2 0 0 2 2 0 2 0 0 2 2 2 1 0 2 0 0 2 0 ...

result:

ok single line: '1 2 0 2 0 0 2 0 2 2 0 2 0 2 2 ... 0 1 1 2 2 0 2 0 2 2 0 0 0 0 2 '

Test #2:

score: 5
Accepted
time: 416ms
memory: 20780kb

input:

50000 500000
30894 37863
18739 43205
26461 20214
15741 957
38985 43365
15978 10327
7414 35300
17146 ...

output:

1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok single line: '1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 '

Test #3:

score: 5
Accepted
time: 389ms
memory: 20732kb

input:

50000 500000
38020 5057
495 7556
33072 22521
28583 41495
7199 42249
37197 26482
34166 16408
33429 19...

output:

1 0 2 0 0 2 0 0 0 2 2 2 2 0 0 0 0 2 2 2 0 2 2 0 0 2 0 0 0 0 0 0 0 0 2 0 0 0 0 2 0 0 0 2 0 2 2 0 1 0 ...

result:

ok single line: '1 0 2 0 0 2 0 0 0 2 2 2 2 0 0 ... 0 0 2 1 0 0 0 0 0 0 2 0 2 1 0 '

Test #4:

score: 5
Accepted
time: 409ms
memory: 20756kb

input:

50000 500000
9177 925
34439 28325
7099 9560
21204 48849
36028 23762
6297 46964
38036 31855
6292 1832...

output:

1 2 2 2 0 2 0 2 2 0 1 0 2 2 2 0 2 0 2 0 0 2 2 2 0 2 0 0 2 2 0 2 2 0 0 2 0 0 2 2 2 0 0 0 2 0 2 0 2 2 ...

result:

ok single line: '1 2 2 2 0 2 0 2 2 0 1 0 2 2 2 ... 1 0 0 0 2 0 0 1 0 2 2 0 2 2 0 '

Test #5:

score: 5
Accepted
time: 398ms
memory: 20768kb

input:

50000 500000
30632 1595
20715 35227
44119 45259
47444 36877
6942 14652
2864 18557
42367 19431
38615 ...

output:

1 2 0 0 0 0 0 2 0 0 0 0 0 0 2 2 2 0 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 0 0 0 2 0 0 0 0 0 0 0 0 ...

result:

ok single line: '1 2 0 0 0 0 0 2 0 0 0 0 0 0 2 ... 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 '

Test #6:

score: 5
Accepted
time: 367ms
memory: 20764kb

input:

50000 500000
33040 23079
35743 21197
49128 38373
36656 46198
17910 29433
45170 24921
28618 34080
100...

output:

1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 1 0 1 2 2 0 0 0 0 0 0 0 0 0 2 0 0 0 1 0 0 0 0 0 0 2 ...

result:

ok single line: '1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 '

Test #7:

score: 5
Accepted
time: 368ms
memory: 20732kb

input:

50000 500000
5226 27470
49597 10290
40326 34407
17000 37084
26244 45989
48273 4706
15981 19231
26219...

output:

1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok single line: '1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 '

Test #8:

score: 5
Accepted
time: 384ms
memory: 20732kb

input:

50000 500000
16952 41617
2923 24354
4446 41320
8355 41065
23930 48553
5990 23289
30279 14635
16174 1...

output:

1 0 2 2 2 2 0 0 0 2 1 0 0 2 0 0 0 0 0 2 2 0 2 0 1 0 0 2 0 1 2 0 2 0 2 0 2 2 0 0 0 2 2 2 2 0 0 0 2 2 ...

result:

ok single line: '1 0 2 2 2 2 0 0 0 2 1 0 0 2 0 ... 0 0 2 2 2 0 0 1 2 1 0 2 0 2 0 '

Test #9:

score: 5
Accepted
time: 360ms
memory: 20732kb

input:

50000 500000
40140 17583
24758 1389
12331 1829
43385 23986
38136 28093
21088 33706
44519 38558
39908...

output:

1 2 0 2 2 0 0 2 0 1 2 2 2 2 2 2 0 2 0 2 2 0 2 0 2 2 0 0 2 0 2 2 0 0 2 2 0 2 2 2 2 2 2 2 2 2 2 0 0 2 ...

result:

ok single line: '1 2 0 2 2 0 0 2 0 1 2 2 2 2 2 ... 2 2 1 0 0 0 2 0 0 2 0 0 2 0 2 '

Test #10:

score: 5
Accepted
time: 391ms
memory: 20768kb

input:

50000 500000
26128 23615
14751 3541
9682 26585
39984 12641
32407 34611
40404 13491
49939 11363
19404...

output:

1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ...

result:

ok single line: '1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ... 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 '

Test #11:

score: 5
Accepted
time: 337ms
memory: 20980kb

input:

100000 500000
1 2
1 3
1 8
1 10
1 11
1 17
1 48
1 100
1 284
1 3021
1 7857
1 16097
1 18352
1 17333
1 81...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 2 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '

Test #12:

score: 5
Accepted
time: 331ms
memory: 20964kb

input:

100000 500000
1 2
1 4
1 5
1 7
1 8
1 13
1 15
1 587
1 6125
1 8728
1 1965
1 12132
1 8992
1 17819
1 1358...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 0 0 3 3 '

Test #13:

score: 5
Accepted
time: 339ms
memory: 21020kb

input:

100000 500000
1 2
1 6
1 45
1 68
1 79
1 496
1 546
1 1119
1 1510
1 1665
1 3262
1 4727
1 4879
1 5430
1 ...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '

Test #14:

score: 5
Accepted
time: 309ms
memory: 21044kb

input:

100000 500000
1 2
1 4
1 8
1 16
1 28
1 58
1 85
1 96
1 106
1 241
1 3315
1 3551
1 13
1 1969
1 12587
1 1...

output:

1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '

Test #15:

score: 5
Accepted
time: 332ms
memory: 20976kb

input:

100000 500000
1 2
1 7
1 13
1 15
1 18
1 74
1 277
1 652
1 1116
1 8926
1 9947
1 12793
1 17696
1 1742
1 ...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '

Test #16:

score: 5
Accepted
time: 346ms
memory: 20952kb

input:

100000 500000
1 2
1 4
1 5
1 7
1 8
1 21
1 26
1 29
1 31
1 254
1 385
1 451
1 678
1 1278
1 2323
1 3775
1...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '

Test #17:

score: 5
Accepted
time: 344ms
memory: 20976kb

input:

100000 500000
1 2
1 15
1 44
1 60
1 183
1 365
1 582
1 1768
1 1793
1 6193
1 9585
1 12293
1 447
1 9529
...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '

Test #18:

score: 5
Accepted
time: 315ms
memory: 20984kb

input:

100000 500000
1 2
1 3
1 4
1 65
1 103
1 282
1 3710
1 5403
1 7559
1 4446
1 5382
1 5028
1 18244
1 5690
...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 2 2 1 1 2 1 1 1 2 1 1 1 1 1 2 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '

Test #19:

score: 5
Accepted
time: 333ms
memory: 20964kb

input:

100000 500000
1 2
1 6
1 310
1 510
1 643
1 667
1 4289
1 13736
1 15465
1 7212
1 8416
1 8424
1 11633
1 ...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 1 1 1 1 1 2 1 1 1 2 2 2 1 1 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '

Test #20:

score: 5
Accepted
time: 319ms
memory: 20968kb

input:

100000 500000
1 2
1 4
1 6
1 7
1 10
1 16
1 247
1 433
1 540
1 2050
1 2671
1 13116
1 9660
1 18620
1 107...

output:

1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2 ...

result:

ok single line: '1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 ... 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 '