Submission #763990

# Submission time Handle Problem Language Result Execution time Memory
763990 2023-06-23T04:43:03 Z nonono Hard route (IZhO17_road) C++14
0 / 100
8 ms 11988 KB
#include "bits/stdc++.h"
#define int long long
using namespace std;

void file(string name = ""){
    ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);

    if(name != ""){
        freopen((name + ".inp").c_str(), "r", stdin);
        freopen((name + ".out").c_str(), "w", stdout);
    }
}

void _max(pair<int, int> &a, pair<int, int> b){
    if(a.first < b.first){
        a = b;
    } else
    if(a.first == b.first){
        a.second += b.second;
    }
}

const int mxN = 5e5 + 10;
int n;
vector<vector<int>> adj(mxN);

pair<int, int> d[mxN], f[mxN], pref[mxN], suff[mxN];
int max_hardness = 0, count_path = 1;

void dfs(int u, int p){
    d[u] = {0, 1};
    for(int v : adj[u]){
        if(v == p) continue ;
        
        dfs(v, u);
        _max(d[u], make_pair(d[v].first + 1, d[v].second));
    }
}

void _dfs(int u, int p){
    
    vector<int> b;
    vector<pair<int, int>> a;
    
    if(adj[u].size() == 1 || u > 1){
        a.push_back({f[u].first + 1, f[u].second});
    }
    
    for(int v : adj[u]){
        if(v == p) continue ;
        a.push_back({d[v].first + 1, d[v].second});
    }
    
    sort(a.begin(), a.end(), greater<pair<int, int>> ());
    
    if(a.size() >= 3 && a[0].first * (a[1].first + a[2].first) >= max_hardness){
        int curr_hardness = a[0].first * (a[1].first + a[2].first);
        int curr_path = 0;
        
        int cnt = 0;
        for(auto [x, y] : a){
            if(x == a[2].first){
                cnt += y;
            }
        }
        
        if(a[1].first == a[2].first){
            curr_path = cnt * cnt;
            for(auto [x, y] : a){
                if(x == a[2].first){
                    curr_path -= y * y;
                }
            }
            
            curr_path /= 2;
        } else 
        if(a[0].first == a[1].first){
            curr_path = (a[0].second + a[1].second) * cnt;
        } else {
            curr_path = a[1].second * cnt;
        }
        
        if(curr_hardness > max_hardness){
            max_hardness = curr_hardness;
            count_path = curr_path;
        } else {
            count_path += curr_path;
        }
    }
    
    a.clear();
    for(int v : adj[u]){
        if(v == p) continue ;
        a.push_back({d[v].first + 1, d[v].second});
        b.push_back(v);
    }
    
    pref[0] = {0, 0};
    for(int i = 1; i <= a.size(); i ++){
        pref[i] = pref[i - 1];
        _max(pref[i], a[i - 1]);
    }
    
    suff[a.size() + 1] = {0, 0};
    for(int i = a.size(); i >= 1; i --){
        suff[i] = suff[i + 1];
        _max(suff[i], a[i - 1]);
    }
    
    for(int i = 1; i <= a.size(); i ++){
        int v = b[i - 1];
        _max(f[v], pref[i - 1]);
        _max(f[v], suff[i + 1]);
        if(adj[u].size() == 1 || u > 1) _max(f[v], f[u]);
    }
    
    for(int i = 1; i <= a.size(); i ++){
        int v = b[i - 1];
        _dfs(v, u);
    }
}

signed main(){
    file("");

    cin >> n;
    
    for(int i = 1; i <= n - 1; i ++){
        int u, v;
        cin >> u >> v;
        
        adj[u].push_back(v);
        adj[v].push_back(u);
    }
    
    dfs(1, 1);
    
    f[1] = {0, 1};
    _dfs(1, 1);

    cout << max_hardness << " " << count_path << "\n";
    return 0;
}

Compilation message

road.cpp: In function 'void _dfs(long long int, long long int)':
road.cpp:61:18: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   61 |         for(auto [x, y] : a){
      |                  ^
road.cpp:69:22: warning: structured bindings only available with '-std=c++17' or '-std=gnu++17'
   69 |             for(auto [x, y] : a){
      |                      ^
road.cpp:99:22: 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]
   99 |     for(int i = 1; i <= a.size(); i ++){
      |                    ~~^~~~~~~~~~~
road.cpp:110:22: 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]
  110 |     for(int i = 1; i <= a.size(); i ++){
      |                    ~~^~~~~~~~~~~
road.cpp:117:22: 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]
  117 |     for(int i = 1; i <= a.size(); i ++){
      |                    ~~^~~~~~~~~~~
road.cpp: In function 'void file(std::string)':
road.cpp:9:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
    9 |         freopen((name + ".inp").c_str(), "r", stdin);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
road.cpp:10:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
   10 |         freopen((name + ".out").c_str(), "w", stdout);
      |         ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11988 KB Output is correct
2 Correct 6 ms 11988 KB Output is correct
3 Correct 6 ms 11988 KB Output is correct
4 Correct 6 ms 11988 KB Output is correct
5 Correct 8 ms 11988 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Incorrect 8 ms 11988 KB Output isn't correct
8 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11988 KB Output is correct
2 Correct 6 ms 11988 KB Output is correct
3 Correct 6 ms 11988 KB Output is correct
4 Correct 6 ms 11988 KB Output is correct
5 Correct 8 ms 11988 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Incorrect 8 ms 11988 KB Output isn't correct
8 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 6 ms 11988 KB Output is correct
2 Correct 6 ms 11988 KB Output is correct
3 Correct 6 ms 11988 KB Output is correct
4 Correct 6 ms 11988 KB Output is correct
5 Correct 8 ms 11988 KB Output is correct
6 Correct 6 ms 11988 KB Output is correct
7 Incorrect 8 ms 11988 KB Output isn't correct
8 Halted 0 ms 0 KB -