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NOI.AC

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#214606#2681. How Many Paths?wanghanyu3931006858ms63384kbC++111.9kb2024-11-20 20:09:492024-11-20 23:04:51

answer

#include<iostream>
#include<cstring>
#include<algorithm>
#include<vector>
#include<queue>
#include<stack>
using namespace std;
#define int long long
const int N = 1e6 + 5, inf = 0x3f3f3f3f3f3f3f3f;

vector<int>G[N], Gx[N];

int dfn[N], low[N], ins[N], num;
stack<int>s;
int scc[N], siz[N], scc_cnt;

void tarjan(int u){
    dfn[u] = low[u] = ++num;
    s.push(u);
    ins[u] = 1;
    for(auto v : G[u]){
        if(!dfn[v]){
            tarjan(v);
            low[u] = min(low[v], low[u]);
        }else if(ins[v]) low[u] = min(low[u], dfn[v]);
    }
    if(low[u] == dfn[u]){
        int v;
        scc_cnt++;
        do{
            v = s.top();
            s.pop();
            scc[v] = scc_cnt;
            siz[scc_cnt]++;
            ins[v] = 0;
        }while(v != u);
    }
}

int in[N], dp[N];

void topo(){
    queue<int>q;
    q.push(scc[1]);
    if(siz[scc[1]] > 1) dp[scc[1]] = inf;
    else dp[scc[1]] = 1;
    while(!q.empty()){
        int u = q.front();
        q.pop();
        for(auto v : Gx[u]){
            in[v]--;
            dp[v] = min(inf, dp[v] + dp[u]);
            if(siz[v] > 1) dp[v] = inf;
            if(in[v] == 0) q.push(v);
        }
    }
}

void solve(){
    int n, m;
    cin >> n >> m;
    for(int i = 1; i <= m; i++){
        int u, v;
        cin >> u >> v;
        G[u].push_back(v);
    }
    tarjan(1);
    for(int u = 1; u <= n; u++){
        for(auto v : G[u]){
            if(scc[u] == 0 || scc[v] == 0) continue;
            if(scc[u] == scc[v]) continue;
            Gx[scc[u]].push_back(scc[v]);
            in[scc[v]]++;
        }
    }
    topo();
    for(int i = 1; i <= n; i++){
        if(dp[scc[i]]) cout << (dp[scc[i]] == inf ? 3 : dp[scc[i]] > 1 ? 2 : 1) << ' ';
        else cout << 0 << ' ';
    }
}

signed main(){
    int t = 1;
    //cin >> t;
    while(t--){
        solve();
    }
    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: 360ms
memory: 58544kb

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: 371ms
memory: 55548kb

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: 347ms
memory: 57332kb

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: 358ms
memory: 58796kb

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: 333ms
memory: 56932kb

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: 343ms
memory: 56860kb

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: 341ms
memory: 56108kb

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: 377ms
memory: 57540kb

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: 320ms
memory: 59096kb

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: 348ms
memory: 55672kb

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: 336ms
memory: 63184kb

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: 346ms
memory: 63220kb

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: 334ms
memory: 63280kb

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: 342ms
memory: 63384kb

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: 330ms
memory: 63296kb

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: 338ms
memory: 63164kb

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: 337ms
memory: 63224kb

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: 323ms
memory: 63208kb

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: 334ms
memory: 63212kb

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: 340ms
memory: 63256kb

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 '