Submission #1158949

#	Time	Username	Problem	Language	Result	Execution time	Memory
1158949		countless	Cyberland (APIO23_cyberland)	C++20	97 / 100	966 ms	2162688 KiB

cyberland

#include "cyberland.h"

#include <vector>
#include <queue>
#include <iostream>
#include <math.h>
#include <tuple>

using namespace std;

typedef long long ll;
typedef long double ld;

const ld INF = 9e18;

// this should work for k <= 30
ld divByPow2(ll x, ll k) {
    return (ld)x / (ld)pow(2, k);
}

// pretty sure this works too
void checkReal(int start, int H, vector<vector<pair<ll, ll>>> &adj, vector<bool> &real) {
    real[start] = true;

    if (start == H) return;

    for (const pair<ll, ll> &i : adj[start]) {
        if (!real[i.first]) {
            checkReal(i.first, H, adj, real);
        }
    }
}

double solve(int N, int M, int K, int H, std::vector<int> x, std::vector<int> y, std::vector<int> c, std::vector<int> arr) {\
    vector<vector<pair<ll, ll>>> adj(N+5);

    cerr << "arr: ";
    for (int i = 0; i < N; i++) {
        cerr << arr[i] << " ";
    }
    cerr << endl;

    for (int i = 0; i < M; i++) {
        adj[x[i]].push_back({y[i], c[i]});
        adj[y[i]].push_back({x[i], c[i]});
    }

    vector<bool> real(N+5, false);
    checkReal(0, H, adj, real);

    if (!real[H]) return -1;
    real[H] = false;

    vector<vector<ld>> dist(N+5, vector<ld>(K + 1 + 5, INF));
    dist[H][0] = 0;
    priority_queue<tuple<ld, ll, ll>, vector<tuple<ld, ll, ll>>, greater<tuple<ld, ll, ll>>> pq;
    pq.push(make_tuple((ld)0.0, 0LL, (ll)H));

    while (!pq.empty()) {
        // const auto [cdist, k, node] = pq.top();
        ld cdist = get<0>(pq.top());
        ll k = get<1>(pq.top());
        ll node = get<2>(pq.top());
        pq.pop();

        if (cdist > dist[node][k]) continue;

        if ((arr[node] == 0 || node == 0) && real[node]) {
            return cdist;
        }

        // if (cdist != dist[node][k]) continue;
        for (const pair<ll, ll> &i : adj[node]) {
            if (i.first == H) continue;
            if (!real[i.first]) continue;

            ld ndist1 = cdist + ((ld)i.second / (ld)pow(2.0, (ld)k));
            if (ndist1 < dist[i.first][k]) {
                dist[i.first][k] = ndist1;
                pq.push(make_tuple(dist[i.first][k], k, i.first));
            }
            
            if (arr[node] == 2 && k < K) {
                ld ndist2 = cdist + ((ld)i.second / (ld)pow(2.0, (ld)k + 1));
                if (ndist2 < dist[i.first][k+1]) {
                    dist[i.first][k+1] = ndist2;
                    pq.push(make_tuple(dist[i.first][k+1], k + 1, i.first));
                }
            }
        }
    }

    return -1;
}

• Subtask 1: 5 / 5
• Subtask 2: 8 / 8
• Subtask 3: 13 / 13
• Subtask 4: 19 / 19
• Subtask 5: 7 / 7
• Subtask 6: 16 / 16
• Subtask 7: 29 / 29
• Subtask 8: 0 / 3