Submission #1070961

#	Time	Username	Problem	Language	Result	Execution time	Memory
1070961		HorizonWest	Closing Time (IOI23_closing)	C++17	9 / 100	1153 ms	1593956 KiB

closing

//#include "closing.h"
#include <iostream>
#include <complex>
#include <iomanip>
#include <vector>
#include <algorithm>
#include <functional>
#include <bitset>
#include <queue>
#include <map>
#include <stack>
#include <cmath>
#include <cstdint>
#include <cassert>
using namespace std;
 
#define ll unsigned long long 
#define fs first 
#define sd second 
 
const ll Inf = 1e18 + 7;

vector <ll> bfs(int n, int x, vector <vector<pair<ll, ll>>> v)
{
    vector <ll> D(n + 1, Inf);
    queue <int> q; q.push(x); D[x] = 0; 
 
    while (!q.empty())
    {
        int x = q.front(); q.pop();
 
        for(auto& u : v[x]) if(D[u.fs] == Inf)
        {   
            D[u.fs] = D[x] + u.sd; 
            q.push(u.fs);
        }
    }
    
    return D;
}

vector <int> line(int n, int x, int y, vector <vector<pair<ll, ll>>> v)
{
    vector <int> p(n, -1), s;  
    queue <int> q; q.push(x); p[x] = x;

    while (!q.empty())
    {
        int x = q.front(); q.pop();
 
        for(auto& u : v[x]) if(p[u.fs] == -1)
        {   
            p[u.fs] = x; 
            q.push(u.fs);
        }
    }

    while (true)
    {
        s.push_back(y);
        if(y == x) break;
        y = p[y];
    }

    reverse(s.begin(), s.end());
    
    return s;
}
 
int max_score(int n, int X, int Y, long long K, vector<int> U, vector<int> V, vector<int> W)
{
    vector <vector<pair<ll, ll>>> v(n + 1,  vector <pair<ll, ll>> ());
    map <int, map <int, int>> mp;
 
    for(int i = 0; i < n - 1; i++)
    {
        mp[U[i]][V[i]] = W[i];
        mp[V[i]][U[i]] = W[i];
        v[U[i]].push_back({ V[i], W[i] });        
        v[V[i]].push_back({ U[i], W[i] });
    }
    
    vector <ll> d1 = bfs(n, X, v), d2 = bfs(n, Y, v);
    vector <int> s = line(n, X, Y, v), sz(n), p(n); 
    int ans = 0, m = s.size(); 

    auto S = [&](auto S, int node, int parent) -> int
    {
        if(sz[node] != 0) return sz[node];
        sz[node] = 2;
        for(auto& u : v[node]) if(u.fs != parent){
            sz[node] += S(S, u.fs, node); 
        }
        return sz[node];
    };

    auto F = [&] (auto F, int node, int parent) -> vector <vector<ll>>
    {     
        //cerr << node << endl; return { { } };
        vector <vector<ll>> dp1(2 * S(S, node, parent) + 1, vector <ll> (3, Inf));
        dp1[1][0] = d1[node];
        dp1[1][1] = d2[node];
        dp1[2][2] = max(d1[node], d2[node]);

        for(auto& u : v[node]) if(u.fs != parent)
        {
            vector <vector<ll>> dp2 = F(F, u.fs, node);

            for(int j = dp1.size() - 1; j >= 0; j--)
            {
                for(int k = 0; k < dp2.size(); k++) if(j - k >= 0)
                {
                    dp1[j][0] = min(dp1[j][0], dp1[j - k][0] + dp2[k][0]);
                    dp1[j][1] = min(dp1[j][1], dp1[j - k][1] + dp2[k][1]);
                    dp1[j][2] = min(dp1[j][2], dp1[j - k][2] + min(dp2[k][2], 
                                min(dp2[k][0], dp2[k][1])));
                }
            }
        }

        return dp1;
    };

    vector <vector<vector<ll>>> dp(m, vector <vector<ll>> 
        (2 * n + 1, vector <ll> (4, Inf)));

    for(int i = 0; i < m; i++){
        dp[i][0][0] = dp[i][0][1] = dp[i][0][2] = 0; 
        p[s[i]] = 1; //cerr << d1[s[i]] << " " << d2[s[i]] << " " << s[i] << endl;
    }

    dp[0][1][0] = d1[s[0]]; 
    dp[0][1][1] = d2[s[0]]; 
    dp[0][2][2] = max(d1[s[0]], d2[s[0]]); 

    for(int i = 0; i < m; i++)
    { 
        if(i > 0){
            int w = mp[s[i-1]][s[i]];

            for(int j = 0; j <= 2 * n; j++){
                if(j > 0) dp[i][j][0] = min(dp[i][j][0], dp[i-1][j-1][0] + d1[s[i]]); // X -> i
                
                if(j > 0) dp[i][j][1] = min(dp[i][j][1], dp[i-1][j-1][1] + d2[s[i]]); // Y -> i
                if(j > 0) dp[i][j][1] = min(dp[i][j][1], dp[i-1][j-1][2] + d2[s[i]]);
                if(j > 0) dp[i][j][1] = min(dp[i][j][1], dp[i-1][j-1][3] + d2[s[i]]);

                if(j > 1) dp[i][j][2] = min(dp[i][j][2], dp[i-1][j-2][0] + max(d1[s[i]], d2[s[i]])); // X, Y -> i
                if(j > 1) dp[i][j][2] = min(dp[i][j][2], dp[i-1][j-2][2] + max(d1[s[i]], d2[s[i]]));

                dp[i][j][3] = min(dp[i][j][3], dp[i-1][j][3]);
                dp[i][j][3] = min(dp[i][j][3], dp[i][j][0]);
            }
        }

        for(auto& u : v[s[i]]) if(p[u.fs] == 0)
        {  
            vector <vector<ll>> dp1 = F(F, u.fs, s[i]);

            /*cerr << "Node: " << s[i] << " -> " << u.fs << endl; 
            for(int j = 0; j < dp1.size(); j ++){
                cerr << j << ": " << (dp1[j][0] == Inf ? -1 : dp1[j][0]) << " " 
                    << (dp1[j][1] == Inf ? -1 : dp1[j][1]) << " " 
                    << (dp1[j][2] == Inf ? -1 : dp1[j][2]) << endl;
            }*/

            for(int j = 2*n; j >= 0; j--)
            {
                for(int k = 0; k < dp1.size(); k++) if(j - k >= 0)
                {
                    dp[i][j][0] = min(dp[i][j][0], dp[i][j - k][0] + dp1[k][0]);
                    dp[i][j][1] = min(dp[i][j][1], dp[i][j - k][1] + dp1[k][1]);
                    dp[i][j][2] = min(dp[i][j][2], dp[i][j - k][2] + min(dp1[k][2], 
                                min(dp1[k][0], dp1[k][1])));
                }

                dp[i][j][3] = min(dp[i][j][3], dp[i][j][0]);
            }
        }

        /*cerr << "Node: " << s[i] << " -> " << i << endl; 
        for(int j = 0; j < dp[i].size(); j ++){
            cerr << j << ": " << (dp[i][j][0] == Inf ? -1 : dp[i][j][0]) << " " 
                 << (dp[i][j][1] == Inf ? -1 : dp[i][j][1]) << " " 
                 << (dp[i][j][2] == Inf ? -1 : dp[i][j][2]) << endl;
        }*/
    }

    for(int i = 0; i <= 2*n; i++)
    { 
        for(int j = 0; j < 4; j++) if(dp[m-1][i][j] <= K){
            ans = i;
        }
    }

    return ans;
}

Compilation message (stderr)

closing.cpp: In lambda function:
closing.cpp:111:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<long long unsigned int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  111 |                 for(int k = 0; k < dp2.size(); k++) if(j - k >= 0)
      |                                ~~^~~~~~~~~~~~
closing.cpp: In function 'int max_score(int, int, int, long long int, std::vector<int>, std::vector<int>, std::vector<int>)':
closing.cpp:139:17: warning: unused variable 'w' [-Wunused-variable]
  139 |             int w = mp[s[i-1]][s[i]];
      |                 ^
closing.cpp:169:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<long long unsigned int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  169 |                 for(int k = 0; k < dp1.size(); k++) if(j - k >= 0)
      |                                ~~^~~~~~~~~~~~
closing.cpp:191:53: warning: comparison of integer expressions of different signedness: '__gnu_cxx::__alloc_traits<std::allocator<long long unsigned int>, long long unsigned int>::value_type' {aka 'long long unsigned int'} and 'long long int' [-Wsign-compare]
  191 |         for(int j = 0; j < 4; j++) if(dp[m-1][i][j] <= K){
closing.cpp: In instantiation of 'max_score(int, int, int, long long int, std::vector<int>, std::vector<int>, std::vector<int>)::<lambda(auto:1, int, int)> [with auto:1 = max_score(int, int, int, long long int, std::vector<int>, std::vector<int>, std::vector<int>)::<lambda(auto:1, int, int)>]':
closing.cpp:100:38:   required from 'max_score(int, int, int, long long int, std::vector<int>, std::vector<int>, std::vector<int>)::<lambda(auto:2, int, int)> [with auto:2 = max_score(int, int, int, long long int, std::vector<int>, std::vector<int>, std::vector<int>)::<lambda(auto:2, int, int)>]'
closing.cpp:158:54:   required from here
closing.cpp:91:40: warning: comparison of integer expressions of different signedness: 'long long unsigned int' and 'int' [-Wsign-compare]
   91 |         for(auto& u : v[node]) if(u.fs != parent){
      |                                   ~~~~~^~~~~~~~~
closing.cpp: In instantiation of 'max_score(int, int, int, long long int, std::vector<int>, std::vector<int>, std::vector<int>)::<lambda(auto:2, int, int)> [with auto:2 = max_score(int, int, int, long long int, std::vector<int>, std::vector<int>, std::vector<int>)::<lambda(auto:2, int, int)>]':
closing.cpp:158:54:   required from here
closing.cpp:105:40: warning: comparison of integer expressions of different signedness: 'long long unsigned int' and 'int' [-Wsign-compare]
  105 |         for(auto& u : v[node]) if(u.fs != parent)
      |                                   ~~~~~^~~~~~~~~
closing.cpp:111:34: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::vector<long long unsigned int> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  111 |                 for(int k = 0; k < dp2.size(); k++) if(j - k >= 0)
      |                                ~~^~~~~~~~~~~~

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