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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#214614#2681. How Many Paths?Filberte1002997ms21260kbC++111.8kb2024-11-20 20:38:182024-11-20 23:06:08

answer

#include <bits/stdc++.h>
using namespace std;
#define int long long
const int N = 1e5 + 100;
bool vis[N];
vector<int> e[N], g[N];
int n, m;
int mtd[N], rcb[N], inf[N], siz[N], deg[N], scnt;
int dfn[N], low[N], col[N], clk;
int st[N], tp;bool inst[N];
void tarjan(int u){
	dfn[u] = low[u] = ++clk;
	st[++tp] = u;inst[u] = 1;
	for(int v : e[u]){
		if(!dfn[v]){
			tarjan(v);
			low[u] = min(low[u], low[v]);
		}
		else if(inst[v]) low[u] = min(low[u], dfn[v]);
	}
	if(low[u] == dfn[u]){
		++scnt;
		for(int x = 0;x != u;--tp){
			x = st[tp];
			inst[x] = 0;
			col[x] = scnt;
            siz[scnt]++;
		}
	}
}
int32_t main(){
    ios::sync_with_stdio(0);cin.tie(0);cout.tie(0);
    cin >> n >> m;
    for(int i = 1;i <= m;i++){
        int u, v;cin >> u >> v;
        e[u].push_back(v);
    }
    for(int i = 1;i <= n;i++) if(!dfn[i]) tarjan(i);
    for(int i = 1;i <= n;i++){
        for(int j : e[i]){
            int u = col[i], v = col[j];
            if(u == v) continue;
            deg[v]++;
            g[u].push_back(v);
        }
    }
    queue<int> q;
    for(int i = 1;i <= scnt;i++) if(!deg[i]) q.push(i);
    rcb[col[1]] = 1;mtd[col[1]] = 1;
    while(!q.empty()){
        int u = q.front();
        q.pop();
        if(siz[u] > 1 && rcb[u]) inf[u] = 1;
        for(int v : g[u]){
            if(rcb[u]) rcb[v] = 1;
            if(inf[u]) inf[v] = 1;
            mtd[v] += mtd[u];
            if(mtd[v] > 2) mtd[v] = 2;
            deg[v]--;
            if(!deg[v]) q.push(v);
        }
    }
    for(int i = 1;i <= n;i++){
        int u = col[i];
        if(!rcb[u]) cout << 0;
        else if(inf[u]) cout << 3;
        else if(mtd[u] == 1) cout << 1;
        else cout << 2;
        cout << " ";
    }
    return 0;
}

Details

小提示:点击横条可展开更详细的信息

Test #1:

score: 5
Accepted
time: 151ms
memory: 21040kb

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: 165ms
memory: 20744kb

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: 183ms
memory: 20888kb

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: 174ms
memory: 21000kb

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: 181ms
memory: 20804kb

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: 172ms
memory: 20784kb

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: 174ms
memory: 20736kb

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: 175ms
memory: 20900kb

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: 159ms
memory: 20988kb

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: 138ms
memory: 20736kb

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: 113ms
memory: 21204kb

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: 125ms
memory: 21196kb

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: 108ms
memory: 21252kb

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: 125ms
memory: 21260kb

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: 137ms
memory: 21208kb

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: 137ms
memory: 21192kb

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: 135ms
memory: 21204kb

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: 124ms
memory: 21208kb

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: 164ms
memory: 21192kb

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: 157ms
memory: 21192kb

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 '