Submission #342753

# Submission time Handle Problem Language Result Execution time Memory
342753 2021-01-02T17:42:04 Z nickmet2004 Hard route (IZhO17_road) C++11
100 / 100
933 ms 145012 KB
#include<bits/stdc++.h>
#define F first
#define S second
#define int long long
using namespace std;
typedef pair<int , int> ipair;
const int N = 5e5 + 5;
int n;
vector<int> adj[N];
vector<ipair> D[N];
ipair dpD[N] , dpU[N];
int mx , cnt;
void dfsD(int u = 1 , int p = 0){
    for(int v : adj[u]){
        if(v==p)continue;
        dfsD(v , u);
        if(dpD[v].F + 1 > dpD[u].F) dpD[u] = dpD[v] , dpD[u].F++;
        else if(dpD[v].F + 1 == dpD[u].F) dpD[u].S += dpD[v].S;
    }
    if(adj[u].size() == 1 && u != 1) dpD[u].S = 1;
    for(int v : adj[u]) if(v != p)D[u].emplace_back(dpD[v].F + 1, dpD[v].S);
}
void dfsU(int u = 1, int p = 0){
    pair<int , int > d1 , d2;
    d1.F = d1.S = d2.F= d2.S = 0;
    d1 = dpD[u];
    ///d1.F--;
    //cout << d1.F << " " << d1.S << " kaaa " << endl;
    for(int v : adj[u]){
        if(v==p || d1.F == dpD[v].F + 1)continue;
        if(d2.F < dpD[v].F + 1)d2 = dpD[v] , d2.F++;
        else if(d2.F == dpD[v].F + 1) d2.S += dpD[v].S;
    }
    //cout << d2.F << " " << d2.S << " uaaaa "<< endl;
    if(u == 1) dpU[u].S = 1;
    for(int v : adj[u]){
        if(v==p)continue;
        if(d1.F == dpD[v].F + 1 && d1.S == dpD[v].S) dpU[v] = d2;
        else if(d1.F == dpD[v].F + 1 && d1.S > dpD[v].S) dpU[v].F = d1.F , dpU[v].S = d1.S - dpD[v].S;
        else dpU[v] = d1;
        if(dpU[v].F < dpU[u].F) dpU[v] = dpU[u];
        else if(dpU[v].F == dpU[u].F) dpU[v].S += dpU[u].S;
        dpU[v].F++;
        dfsU(v , u);
    }
}


void solve(){
    //cout << "HOO" << endl;
    for(int u = 1; u <= n; ++u){
        if(D[u].size() < 3) continue;
        sort(D[u].rbegin() , D[u].rend());
        int x1 = D[u][0].F , x2 = D[u][1].F , x3 = D[u][2].F;
        //cout << x1 << " " << x2 << " " << x3 << endl;
        mx = max(mx , x1 * (x2 + x3));
    }
    //cout << mx << " mx "<<endl;

    for(int u = 1; u <= n; ++u){
        if(D[u].size() < 3)continue;
        int x1 = D[u][0].F , x2 = D[u][1].F , x3 = D[u][2].F;
        if(mx != x1 * (x2 + x3)) continue;
        ///
        int Y = 0;
        if(x1 == x3){
            for(int x = 0; x < D[u].size(); ++x) if(D[u][x].F ==x1)Y += D[u][x].S;
            for(int x = 0; x < D[u].size(); ++x){
                if(D[u][x].F == x1) cnt += (Y - D[u][x].S) * D[u][x].S , Y -= D[u][x].S;
            }
            continue;
        }
        ///
        if(x1 == x2){
            for(int x = 0; x < D[u].size(); ++x) if(D[u][x].F == x3)Y += D[u][x].S;
            cnt += (D[u][0].S + D[u][1].S) * Y;
            continue;
        }
        if(x2 == x3){
            for(int x = 0; x< D[u].size(); ++x)if(D[u][x].F == x2) Y += D[u][x].S;
            for(int x= 0; x < D[u].size(); ++x){
                if(D[u][x].F == x2) cnt += D[u][x].S * (Y - D[u][x].S), Y-= D[u][x].S;
            }
            continue;
        }
        for(int x = 0;x < D[u].size(); ++x)if(D[u][x].F == x3)Y+= D[u][x].S;
        cnt += D[u][1].S * Y;
    }
}

 main (){
    ios_base::sync_with_stdio(0); cin.tie(0);
    cin >> n;
    for(int i = 1; i < n; ++i){
        int u , v; cin >> u >> v;
        adj[u].emplace_back(v); adj[v].emplace_back(u);
    }
    dfsD();
    //for(int i = 1; i <= n; ++i)cout << dpD[i].F << " "; cout << endl;

    dfsU();
    for(int i = 1; i <= n; ++i)if(dpU[i].F)D[i].emplace_back(dpU[i]);
    //for(int i= 1; i <= n; ++i)cout << dpU[i].F << " "; cout << endl;
    solve();
    if(!cnt)cnt = 1;
    cout << mx << " " << cnt;

}


Compilation message

road.cpp: In function 'void solve()':
road.cpp:67:30: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   67 |             for(int x = 0; x < D[u].size(); ++x) if(D[u][x].F ==x1)Y += D[u][x].S;
      |                            ~~^~~~~~~~~~~~~
road.cpp:68:30: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   68 |             for(int x = 0; x < D[u].size(); ++x){
      |                            ~~^~~~~~~~~~~~~
road.cpp:75:30: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   75 |             for(int x = 0; x < D[u].size(); ++x) if(D[u][x].F == x3)Y += D[u][x].S;
      |                            ~~^~~~~~~~~~~~~
road.cpp:80:29: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   80 |             for(int x = 0; x< D[u].size(); ++x)if(D[u][x].F == x2) Y += D[u][x].S;
      |                            ~^~~~~~~~~~~~~
road.cpp:81:29: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   81 |             for(int x= 0; x < D[u].size(); ++x){
      |                           ~~^~~~~~~~~~~~~
road.cpp:86:25: warning: comparison of integer expressions of different signedness: 'long long int' and 'std::vector<std::pair<long long int, long long int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   86 |         for(int x = 0;x < D[u].size(); ++x)if(D[u][x].F == x3)Y+= D[u][x].S;
      |                       ~~^~~~~~~~~~~~~
road.cpp: At global scope:
road.cpp:91:8: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
   91 |  main (){
      |        ^
# Verdict Execution time Memory Grader output
1 Correct 15 ms 23864 KB Output is correct
2 Correct 14 ms 23788 KB Output is correct
3 Correct 14 ms 23788 KB Output is correct
4 Correct 16 ms 23788 KB Output is correct
5 Correct 15 ms 23788 KB Output is correct
6 Correct 14 ms 23788 KB Output is correct
7 Correct 15 ms 23788 KB Output is correct
8 Correct 15 ms 23788 KB Output is correct
9 Correct 16 ms 23788 KB Output is correct
10 Correct 14 ms 23788 KB Output is correct
11 Correct 14 ms 23788 KB Output is correct
12 Correct 15 ms 23788 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 14 ms 23788 KB Output is correct
15 Correct 17 ms 23800 KB Output is correct
16 Correct 14 ms 23788 KB Output is correct
17 Correct 15 ms 23788 KB Output is correct
18 Correct 14 ms 23788 KB Output is correct
19 Correct 14 ms 23788 KB Output is correct
20 Correct 15 ms 23908 KB Output is correct
21 Correct 14 ms 23788 KB Output is correct
22 Correct 15 ms 23788 KB Output is correct
23 Correct 14 ms 23788 KB Output is correct
24 Correct 15 ms 23788 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 15 ms 23864 KB Output is correct
2 Correct 14 ms 23788 KB Output is correct
3 Correct 14 ms 23788 KB Output is correct
4 Correct 16 ms 23788 KB Output is correct
5 Correct 15 ms 23788 KB Output is correct
6 Correct 14 ms 23788 KB Output is correct
7 Correct 15 ms 23788 KB Output is correct
8 Correct 15 ms 23788 KB Output is correct
9 Correct 16 ms 23788 KB Output is correct
10 Correct 14 ms 23788 KB Output is correct
11 Correct 14 ms 23788 KB Output is correct
12 Correct 15 ms 23788 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 14 ms 23788 KB Output is correct
15 Correct 17 ms 23800 KB Output is correct
16 Correct 14 ms 23788 KB Output is correct
17 Correct 15 ms 23788 KB Output is correct
18 Correct 14 ms 23788 KB Output is correct
19 Correct 14 ms 23788 KB Output is correct
20 Correct 15 ms 23908 KB Output is correct
21 Correct 14 ms 23788 KB Output is correct
22 Correct 15 ms 23788 KB Output is correct
23 Correct 14 ms 23788 KB Output is correct
24 Correct 15 ms 23788 KB Output is correct
25 Correct 17 ms 24684 KB Output is correct
26 Correct 18 ms 24812 KB Output is correct
27 Correct 18 ms 24832 KB Output is correct
28 Correct 17 ms 24812 KB Output is correct
29 Correct 18 ms 24684 KB Output is correct
30 Correct 21 ms 24832 KB Output is correct
31 Correct 19 ms 24812 KB Output is correct
32 Correct 17 ms 24684 KB Output is correct
33 Correct 17 ms 24812 KB Output is correct
34 Correct 17 ms 24812 KB Output is correct
35 Correct 18 ms 24812 KB Output is correct
36 Correct 17 ms 24812 KB Output is correct
37 Correct 18 ms 24812 KB Output is correct
38 Correct 17 ms 25068 KB Output is correct
39 Correct 18 ms 24812 KB Output is correct
40 Correct 18 ms 24556 KB Output is correct
41 Correct 18 ms 24556 KB Output is correct
42 Correct 18 ms 24556 KB Output is correct
43 Correct 17 ms 24556 KB Output is correct
44 Correct 18 ms 24556 KB Output is correct
45 Correct 17 ms 24428 KB Output is correct
46 Correct 17 ms 24428 KB Output is correct
47 Correct 17 ms 24428 KB Output is correct
48 Correct 17 ms 24428 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 15 ms 23864 KB Output is correct
2 Correct 14 ms 23788 KB Output is correct
3 Correct 14 ms 23788 KB Output is correct
4 Correct 16 ms 23788 KB Output is correct
5 Correct 15 ms 23788 KB Output is correct
6 Correct 14 ms 23788 KB Output is correct
7 Correct 15 ms 23788 KB Output is correct
8 Correct 15 ms 23788 KB Output is correct
9 Correct 16 ms 23788 KB Output is correct
10 Correct 14 ms 23788 KB Output is correct
11 Correct 14 ms 23788 KB Output is correct
12 Correct 15 ms 23788 KB Output is correct
13 Correct 14 ms 23788 KB Output is correct
14 Correct 14 ms 23788 KB Output is correct
15 Correct 17 ms 23800 KB Output is correct
16 Correct 14 ms 23788 KB Output is correct
17 Correct 15 ms 23788 KB Output is correct
18 Correct 14 ms 23788 KB Output is correct
19 Correct 14 ms 23788 KB Output is correct
20 Correct 15 ms 23908 KB Output is correct
21 Correct 14 ms 23788 KB Output is correct
22 Correct 15 ms 23788 KB Output is correct
23 Correct 14 ms 23788 KB Output is correct
24 Correct 15 ms 23788 KB Output is correct
25 Correct 17 ms 24684 KB Output is correct
26 Correct 18 ms 24812 KB Output is correct
27 Correct 18 ms 24832 KB Output is correct
28 Correct 17 ms 24812 KB Output is correct
29 Correct 18 ms 24684 KB Output is correct
30 Correct 21 ms 24832 KB Output is correct
31 Correct 19 ms 24812 KB Output is correct
32 Correct 17 ms 24684 KB Output is correct
33 Correct 17 ms 24812 KB Output is correct
34 Correct 17 ms 24812 KB Output is correct
35 Correct 18 ms 24812 KB Output is correct
36 Correct 17 ms 24812 KB Output is correct
37 Correct 18 ms 24812 KB Output is correct
38 Correct 17 ms 25068 KB Output is correct
39 Correct 18 ms 24812 KB Output is correct
40 Correct 18 ms 24556 KB Output is correct
41 Correct 18 ms 24556 KB Output is correct
42 Correct 18 ms 24556 KB Output is correct
43 Correct 17 ms 24556 KB Output is correct
44 Correct 18 ms 24556 KB Output is correct
45 Correct 17 ms 24428 KB Output is correct
46 Correct 17 ms 24428 KB Output is correct
47 Correct 17 ms 24428 KB Output is correct
48 Correct 17 ms 24428 KB Output is correct
49 Correct 677 ms 111468 KB Output is correct
50 Correct 684 ms 115308 KB Output is correct
51 Correct 691 ms 118504 KB Output is correct
52 Correct 691 ms 106988 KB Output is correct
53 Correct 597 ms 119788 KB Output is correct
54 Correct 587 ms 123500 KB Output is correct
55 Correct 584 ms 114540 KB Output is correct
56 Correct 586 ms 118396 KB Output is correct
57 Correct 652 ms 120400 KB Output is correct
58 Correct 661 ms 116008 KB Output is correct
59 Correct 652 ms 115884 KB Output is correct
60 Correct 654 ms 113856 KB Output is correct
61 Correct 933 ms 145012 KB Output is correct
62 Correct 932 ms 134940 KB Output is correct
63 Correct 894 ms 106080 KB Output is correct
64 Correct 892 ms 99140 KB Output is correct
65 Correct 890 ms 94832 KB Output is correct
66 Correct 893 ms 92536 KB Output is correct
67 Correct 863 ms 91272 KB Output is correct
68 Correct 849 ms 90708 KB Output is correct
69 Correct 856 ms 90732 KB Output is correct
70 Correct 851 ms 90220 KB Output is correct
71 Correct 843 ms 90144 KB Output is correct
72 Correct 869 ms 90312 KB Output is correct
73 Correct 835 ms 90476 KB Output is correct
74 Correct 828 ms 90236 KB Output is correct
75 Correct 804 ms 90040 KB Output is correct
76 Correct 761 ms 89948 KB Output is correct
77 Correct 636 ms 87724 KB Output is correct
78 Correct 410 ms 89928 KB Output is correct