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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#185745#2681. How Many Paths?tkswls10013334ms76956kbC++112.4kb2023-09-30 10:42:202023-09-30 12:19:41

answer

#include<bits/stdc++.h>
using namespace std;
int n, m, a[100005], head[100005], v[1000005], cnt, p, q, nxt[1000005], low[100005], dfn[100005], num;
int ta[100005], th[100005], tv[1000005], tn[1000005], td[1000005], f[100005], ans;
bool ins[100005], tag[100005];
stack<int> s;
vector<int> scc[100005];
int c[100005];
map<pair<int, int>, bool> ma;
void add() {
	nxt[++cnt] = head[p];
	head[p] = cnt;
	v[cnt] = q;
}
void tarjan(int w) {
	low[w] = dfn[w] = ++cnt;
	s.push(w);
	ins[w] = true;
	for (int i = head[w]; i; i = nxt[i]) {
		if (!dfn[v[i]]) {
			tarjan(v[i]);
			low[w] = min(low[w], low[v[i]]);
		} else if (ins[v[i]]) {
			low[w] = min(low[w], dfn[v[i]]);
		}
	}
	if (dfn[w] == low[w]) {
		num++;
		int y;
		do {
			ins[s.top()] = false;
			c[s.top()] = num;
			scc[num].push_back(s.top());
			y = s.top();
			s.pop();
		} while (y != w);
		if (scc[num].size() != 1) {
			tag[num] = 1;
		}
	}
}
void tad(int p, int q) {
	tn[++cnt] = th[p];
	th[p] = cnt;
	tv[cnt] = q;
}
inline void topo() {
	memset(ins, 0, sizeof(ins));
	queue<int> q;
	for (int i = 1; i <= num; i++) {
		if (td[i] == 0) {
			q.push(i);
			ins[i] = true;
		}
	}
	while (q.size()) {
		int u = q.front();
		q.pop();
		if (tag[u] && f[u]) {
			f[u] = 3;
		}
		for (int i = th[u]; i; i = tn[i]) {
			td[tv[i]]--;
			if (f[u] != 0) {
				if (f[tv[i]] == 0) {
					f[tv[i]] = f[u];
				} else if (f[u] == 1) {
					if (f[tv[i]] == 1) {
						f[tv[i]] = 2;
					}
				} else if (f[u] == 2) {
					if (f[tv[i]] == 1) {
						f[tv[i]] = 2;
					}
				} else {
					f[tv[i]] = 3;
				}
			}
			if (!td[tv[i]]) {
				q.push(tv[i]);
				ins[tv[i]] = true;
			}
		}
	}
}
int main() {
	ios::sync_with_stdio(0);
	cin.tie(0);
	cout.tie(0);
	cin >> n >> m;
	for (int i = 1; i <= m; i++) {
		cin >> p >> q;
		add();
	}
	cnt = 0;
	for (int i = 1; i <= n; i++) {
		if (!dfn[i]) {
			tarjan(i);
		}
	}
	cnt = 0;
	for (int i = 1; i <= n; i++) {
		for (int j = head[i]; j; j = nxt[j]) {
			if (c[i] != c[v[j]] && ma.find(make_pair(c[i], c[v[j]])) == ma.end()) {
				tad(c[i], c[v[j]]);
				ma[make_pair(c[i], c[v[j]])] = 1;
				ma[make_pair(c[v[j]], c[i])] = 1;
			}
		}
	}
	if (tag[c[1]]) {
		f[c[1]] = 3;
	} else {
		f[c[1]] = 1;
	}
	for (int i = 1; i <= cnt; i++) {
		td[tv[i]]++;
	}
	topo();
	for (int i = 1; i <= n; i++) {
		cout << f[c[i]] << " ";
	}
	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: 1029ms
memory: 76940kb

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: 1017ms
memory: 76828kb

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: 1026ms
memory: 76904kb

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: 976ms
memory: 76948kb

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: 1005ms
memory: 76864kb

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: 1021ms
memory: 76856kb

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: 1006ms
memory: 76832kb

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: 1004ms
memory: 76908kb

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: 971ms
memory: 76956kb

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: 970ms
memory: 76828kb

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: 313ms
memory: 39188kb

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: 327ms
memory: 39200kb

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: 311ms
memory: 39228kb

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: 327ms
memory: 39220kb

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: 367ms
memory: 39224kb

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: 308ms
memory: 39272kb

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: 326ms
memory: 39204kb

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: 368ms
memory: 39268kb

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: 348ms
memory: 39240kb

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: 314ms
memory: 39252kb

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 '