Submission #1041108

# Submission time Handle Problem Language Result Execution time Memory
1041108 2024-08-01T15:47:36 Z Zicrus Closing Time (IOI23_closing) C++17
8 / 100
123 ms 25888 KB
#include <bits/stdc++.h>
#include "closing.h"
using namespace std;
 
typedef long long ll;
 
int max_score_seperate(int n, int x, int y, ll k, vector<int> u, vector<int> v, vector<int> w) {
    priority_queue<pair<ll, ll>> finalQX, finalQY, doubleQ;
    vector<vector<pair<ll, ll>>> adj(n);
    for (int i = 0; i < w.size(); i++) {
        adj[u[i]].push_back({-w[i], v[i]});
        adj[v[i]].push_back({-w[i], u[i]});
    }
 
    vector<ll> distX(n, 1ll << 62ll), distY(n, 1ll << 62ll);
    vector<bool> vstX(n), vstY(n);
    priority_queue<pair<ll, ll>> q;
    distX[x] = distY[y] = 0;
    q.push({0, x});
    while (!q.empty()) {
        ll node = q.top().second; q.pop();
        if (vstX[node]) continue;
        vstX[node] = true;
        for (auto &e : adj[node]) {
            distX[e.second] = min(distX[e.second], distX[node] - e.first);
            q.push({-distX[e.second], e.second});
        }
    }
    q.push({0, y});
    while (!q.empty()) {
        ll node = q.top().second; q.pop();
        if (vstY[node]) continue;
        vstY[node] = true;
        for (auto &e : adj[node]) {
            distY[e.second] = min(distY[e.second], distY[node] - e.first);
            q.push({-distY[e.second], e.second});
        }
    }
 
    finalQX.push({0, x});
    finalQY.push({0, y});
 
    vstX = vector<bool>(n); vstY = vector<bool>(n);
    vector<bool> nbX(n), nbY(n);
    nbX[x] = nbY[y] = true;
    ll res = 0;
    while (!finalQX.empty() || !finalQY.empty() || !doubleQ.empty()) {
        // Ensure no visited
        ll t = finalQX.empty() ? 0 : finalQX.top().second;
        while (vstX[t] && !finalQX.empty()) { finalQX.pop(); t = finalQX.top().second; }
        t = finalQY.empty() ? 0 : finalQY.top().second;
        while (vstY[t] && !finalQY.empty()) { finalQY.pop(); t = finalQY.top().second; }
        t = doubleQ.empty() ? 0 : doubleQ.top().second;
        while ((vstX[t] || vstY[t]) && !doubleQ.empty()) { doubleQ.pop(); t = doubleQ.top().second; }

        if (!doubleQ.empty()) {
            ll x2 = 1ll << 62ll, y2 = 1ll << 62ll, xy = 1ll << 62ll;
            if (!finalQX.empty() && !finalQY.empty()) xy = -finalQX.top().first - finalQY.top().first;
            if (finalQX.size() >= 2) {
                auto i = finalQX.top(); finalQX.pop();

                t = finalQX.top().second;
                while (vstX[t] && !finalQX.empty()) { finalQX.pop(); t = finalQX.top().second; }
                if (finalQX.empty()) { finalQX.push(i); goto skipX; }

                x2 = -i.first - finalQX.top().first;
                finalQX.push(i);
            }
            skipX:
            if (finalQY.size() >= 2) {
                auto i = finalQY.top(); finalQY.pop();

                t = finalQY.top().second;
                while (vstY[t] && !finalQY.empty()) { finalQY.pop(); t = finalQY.top().second; }
                if (finalQY.empty()) { finalQY.push(i); goto skipY; }

                y2 = -i.first - finalQY.top().first;
                finalQY.push(i);
            }
            skipY:

            ll dub = -doubleQ.top().first;
            if (dub < x2 && dub < y2 && dub < xy && dub <= k) {
                auto node = doubleQ.top(); doubleQ.pop();
                vstX[node.second] = vstY[node.second] = true;
                for (auto &e : adj[node.second]) {
                    nbX[e.second] = nbY[e.second] = true;
                    finalQX.push({-(vstY[e.second] ? abs(distX[e.second] - distY[e.second]) : distX[e.second]), e.second});
                    finalQY.push({-(vstX[e.second] ? abs(distX[e.second] - distY[e.second]) : distY[e.second]), e.second});
                    doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
                }
                k -= dub;
                res += 2;
                continue;
            }
        }

        if (finalQX.empty() && finalQY.empty()) break;

        ll x1 = 1ll << 62ll, y1 = 1ll << 62ll;
        if (!finalQX.empty()) x1 = -finalQX.top().first;
        if (!finalQY.empty()) y1 = -finalQY.top().first;

        if (x1 < y1) { // X
            auto node = finalQX.top();
            ll dist = -node.first; finalQX.pop();
            if (dist > k) break;
            vstX[node.second] = true;
            for (auto &e : adj[node.second]) {
                nbX[e.second] = true;
                finalQX.push({-(vstY[e.second] ? abs(distX[e.second] - distY[e.second]) : distX[e.second]), e.second});
                if (nbY[e.second]) doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
            }
            if (!vstY[node.second] && nbY[node.second]) finalQY.push({-abs(distX[node.second] - distY[node.second]), node.second});
            k -= dist;
            res++;
        }
        else { // Y
            auto node = finalQY.top();
            ll dist = -node.first; finalQY.pop();
            if (dist > k) break;
            vstY[node.second] = true;
            for (auto &e : adj[node.second]) {
                nbY[e.second] = true;
                finalQY.push({-(vstX[e.second] ? abs(distX[e.second] - distY[e.second]) : distY[e.second]), e.second});
                if (nbX[e.second]) doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
            }
            if (!vstX[node.second] && nbX[node.second]) finalQX.push({-abs(distX[node.second] - distY[node.second]), node.second});
            k -= dist;
            res++;
        }
    }
    return res;
}

int max_score_meet(int n, int x, int y, ll k, vector<int> u, vector<int> v, vector<int> w) {
    priority_queue<pair<ll, ll>> finalQX, finalQY, doubleQ;
    vector<vector<pair<ll, ll>>> adj(n);
    for (int i = 0; i < w.size(); i++) {
        adj[u[i]].push_back({-w[i], v[i]});
        adj[v[i]].push_back({-w[i], u[i]});
    }
 
    vector<ll> distX(n, 1ll << 62ll), distY(n, 1ll << 62ll);
    vector<bool> vstX(n), vstY(n);
    priority_queue<pair<ll, ll>> q;
    distX[x] = distY[y] = 0;
    q.push({0, x});
    while (!q.empty()) {
        ll node = q.top().second; q.pop();
        if (vstX[node]) continue;
        vstX[node] = true;
        for (auto &e : adj[node]) {
            distX[e.second] = min(distX[e.second], distX[node] - e.first);
            q.push({-distX[e.second], e.second});
        }
    }
    q.push({0, y});
    while (!q.empty()) {
        ll node = q.top().second; q.pop();
        if (vstY[node]) continue;
        vstY[node] = true;
        for (auto &e : adj[node]) {
            distY[e.second] = min(distY[e.second], distY[node] - e.first);
            q.push({-distY[e.second], e.second});
        }
    }
 
    finalQX.push({0, x});
    finalQY.push({0, y});
 
    vstX = vector<bool>(n); vstY = vector<bool>(n);
    vector<bool> nbX(n), nbY(n);
    nbX[x] = nbY[y] = true;
    ll res = 0;
    while (!finalQX.empty() || !finalQY.empty() || !doubleQ.empty()) {
        // Ensure no visited
        ll t = finalQX.empty() ? 0 : finalQX.top().second;
        while (vstX[t] && !finalQX.empty()) { finalQX.pop(); t = finalQX.top().second; }
        t = finalQY.empty() ? 0 : finalQY.top().second;
        while (vstY[t] && !finalQY.empty()) { finalQY.pop(); t = finalQY.top().second; }
        t = doubleQ.empty() ? 0 : doubleQ.top().second;
        while ((vstX[t] || vstY[t]) && !doubleQ.empty()) { doubleQ.pop(); t = doubleQ.top().second; }

        if (!doubleQ.empty()) {
            ll x2 = 1ll << 62ll, y2 = 1ll << 62ll, xy = 1ll << 62ll;
            if (!finalQX.empty() && !finalQY.empty()) xy = -finalQX.top().first - finalQY.top().first;
            if (finalQX.size() >= 2) {
                auto i = finalQX.top(); finalQX.pop();

                t = finalQX.top().second;
                while (vstX[t] && !finalQX.empty()) { finalQX.pop(); t = finalQX.top().second; }
                if (finalQX.empty()) goto skipX1;

                x2 = -i.first - finalQX.top().first;
                finalQX.push(i);
            }
            skipX1:
            if (finalQY.size() >= 2) {
                auto i = finalQY.top(); finalQY.pop();

                t = finalQY.top().second;
                while (vstY[t] && !finalQY.empty()) { finalQY.pop(); t = finalQY.top().second; }
                if (finalQY.empty()) goto skipY1;

                y2 = -i.first - finalQY.top().first;
                finalQY.push(i);
            }
            skipY1:

            ll dub = -doubleQ.top().first;
            if (dub < x2 && dub < y2 && dub < xy && dub <= k) {
                auto node = doubleQ.top(); doubleQ.pop();
                vstX[node.second] = vstY[node.second] = true;
                for (auto &e : adj[node.second]) {
                    nbX[e.second] = nbY[e.second] = true;
                    finalQX.push({-(vstY[e.second] ? abs(distX[e.second] - distY[e.second]) : distX[e.second]), e.second});
                    finalQY.push({-(vstX[e.second] ? abs(distX[e.second] - distY[e.second]) : distY[e.second]), e.second});
                    doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
                }
                k -= dub;
                res += 2;
                break;
            }
        }

        if (finalQX.empty() && finalQY.empty()) break;

        ll x1 = 1ll << 62ll, y1 = 1ll << 62ll;
        if (!finalQX.empty()) x1 = -finalQX.top().first;
        if (!finalQY.empty()) y1 = -finalQY.top().first;

        if (x1 < y1) { // X
            auto node = finalQX.top();
            ll dist = -node.first; finalQX.pop();
            if (dist > k) break;
            vstX[node.second] = true;
            for (auto &e : adj[node.second]) {
                if (distY[e.second] > distY[node.second]) continue;
                nbX[e.second] = true;
                finalQX.push({-(vstY[e.second] ? abs(distX[e.second] - distY[e.second]) : distX[e.second]), e.second});
                if (nbY[e.second]) doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
            }
            if (!vstY[node.second] && nbY[node.second]) finalQY.push({-abs(distX[node.second] - distY[node.second]), node.second});
            k -= dist;
            res++;
            if (vstY[node.second]) break;
        }
        else { // Y
            auto node = finalQY.top();
            ll dist = -node.first; finalQY.pop();
            if (dist > k) break;
            vstY[node.second] = true;
            for (auto &e : adj[node.second]) {
                if (distX[e.second] > distX[node.second]) continue;
                nbY[e.second] = true;
                finalQY.push({-(vstX[e.second] ? abs(distX[e.second] - distY[e.second]) : distY[e.second]), e.second});
                if (nbX[e.second]) doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
            }
            if (!vstX[node.second] && nbX[node.second]) finalQX.push({-abs(distX[node.second] - distY[node.second]), node.second});
            k -= dist;
            res++;
            if (vstX[node.second]) break;
        }
    }
    
    for (int i = 0; i < n; i++) {
        if (vstX[i]) {
            for (auto &e : adj[i]) {
                nbX[e.second] = true;
                finalQX.push({-(vstY[e.second] ? abs(distX[e.second] - distY[e.second]) : distX[e.second]), e.second});
                if (nbY[e.second]) doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
            }
        }
        if (vstY[i]) {
            for (auto &e : adj[i]) {
                nbY[e.second] = true;
                finalQY.push({-(vstX[e.second] ? abs(distX[e.second] - distY[e.second]) : distY[e.second]), e.second});
                if (nbX[e.second]) doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
            }
        }
    }
    
    for (int i = 0; i < n; i++) {
        if (vstX[i]) {
            if (!vstY[i] && nbY[i]) finalQY.push({-abs(distX[i] - distY[i]), i});
        }
        if (vstY[i]) {
            if (!vstX[i] && nbX[i]) finalQX.push({-abs(distX[i] - distY[i]), i});
        }
    }

    ////////////////////////////////////////

    while (!finalQX.empty() || !finalQY.empty() || !doubleQ.empty()) {
        // Ensure no visited
        ll t = finalQX.empty() ? 0 : finalQX.top().second;
        while (vstX[t] && !finalQX.empty()) { finalQX.pop(); t = finalQX.top().second; }
        t = finalQY.empty() ? 0 : finalQY.top().second;
        while (vstY[t] && !finalQY.empty()) { finalQY.pop(); t = finalQY.top().second; }
        t = doubleQ.empty() ? 0 : doubleQ.top().second;
        while ((vstX[t] || vstY[t]) && !doubleQ.empty()) { doubleQ.pop(); t = doubleQ.top().second; }

        if (!doubleQ.empty()) {
            ll x2 = 1ll << 62ll, y2 = 1ll << 62ll, xy = 1ll << 62ll;
            if (!finalQX.empty() && !finalQY.empty()) xy = -finalQX.top().first - finalQY.top().first;
            if (finalQX.size() >= 2) {
                auto i = finalQX.top(); finalQX.pop();

                t = finalQX.top().second;
                while (vstX[t] && !finalQX.empty()) { finalQX.pop(); t = finalQX.top().second; }
                if (finalQX.empty()) goto skipX;

                x2 = -i.first - finalQX.top().first;
                finalQX.push(i);
            }
            skipX:
            if (finalQY.size() >= 2) {
                auto i = finalQY.top(); finalQY.pop();

                t = finalQY.top().second;
                while (vstY[t] && !finalQY.empty()) { finalQY.pop(); t = finalQY.top().second; }
                if (finalQY.empty()) goto skipY;

                y2 = -i.first - finalQY.top().first;
                finalQY.push(i);
            }
            skipY:

            ll dub = -doubleQ.top().first;
            if (dub < x2 && dub < y2 && dub < xy && dub <= k) {
                auto node = doubleQ.top(); doubleQ.pop();
                vstX[node.second] = vstY[node.second] = true;
                for (auto &e : adj[node.second]) {
                    nbX[e.second] = nbY[e.second] = true;
                    finalQX.push({-(vstY[e.second] ? abs(distX[e.second] - distY[e.second]) : distX[e.second]), e.second});
                    finalQY.push({-(vstX[e.second] ? abs(distX[e.second] - distY[e.second]) : distY[e.second]), e.second});
                    doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
                }
                k -= dub;
                res += 2;
                continue;
            }
        }

        if (finalQX.empty() && finalQY.empty()) break;

        ll x1 = 1ll << 62ll, y1 = 1ll << 62ll;
        if (!finalQX.empty()) x1 = -finalQX.top().first;
        if (!finalQY.empty()) y1 = -finalQY.top().first;

        if (x1 < y1) { // X
            auto node = finalQX.top();
            ll dist = -node.first; finalQX.pop();
            if (dist > k) break;
            vstX[node.second] = true;
            for (auto &e : adj[node.second]) {
                nbX[e.second] = true;
                finalQX.push({-(vstY[e.second] ? abs(distX[e.second] - distY[e.second]) : distX[e.second]), e.second});
                if (nbY[e.second]) doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
            }
            if (!vstY[node.second] && nbY[node.second]) finalQY.push({-abs(distX[node.second] - distY[node.second]), node.second});
            k -= dist;
            res++;
        }
        else { // Y
            auto node = finalQY.top();
            ll dist = -node.first; finalQY.pop();
            if (dist > k) break;
            vstY[node.second] = true;
            for (auto &e : adj[node.second]) {
                nbY[e.second] = true;
                finalQY.push({-(vstX[e.second] ? abs(distX[e.second] - distY[e.second]) : distY[e.second]), e.second});
                if (nbX[e.second]) doubleQ.push({-max(distX[e.second], distY[e.second]), e.second});
            }
            if (!vstX[node.second] && nbX[node.second]) finalQX.push({-abs(distX[node.second] - distY[node.second]), node.second});
            k -= dist;
            res++;
        }
    }

    return res;
}

int max_score(int n, int x, int y, ll k, vector<int> u, vector<int> v, vector<int> w) {
    if (k > 10000) k++;
    ll sep = max_score_seperate(n, x, y, k, u, v, w);
    ll meet = max_score_meet(n, x, y, k, u, v, w);
    ll res = max(sep, meet);
    return res;
}

Compilation message

closing.cpp: In function 'int max_score_seperate(int, int, int, ll, std::vector<int>, std::vector<int>, std::vector<int>)':
closing.cpp:10:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   10 |     for (int i = 0; i < w.size(); i++) {
      |                     ~~^~~~~~~~~~
closing.cpp: In function 'int max_score_meet(int, int, int, ll, std::vector<int>, std::vector<int>, std::vector<int>)':
closing.cpp:139:23: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<int>::size_type' {aka 'long unsigned int'} [-Wsign-compare]
  139 |     for (int i = 0; i < w.size(); i++) {
      |                     ~~^~~~~~~~~~
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 111 ms 25680 KB Output is correct
2 Correct 123 ms 25888 KB Output is correct
3 Correct 75 ms 2908 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '30', found: '31'
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '30', found: '31'
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '30', found: '31'
3 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '30', found: '31'
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '30', found: '31'
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '30', found: '31'
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '30', found: '31'
4 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 0 ms 348 KB 1st lines differ - on the 1st token, expected: '30', found: '31'
4 Halted 0 ms 0 KB -