Submission #766363

#TimeUsernameProblemLanguageResultExecution timeMemory
766363linkretJakarta Skyscrapers (APIO15_skyscraper)C++14
100 / 100
650 ms26664 KiB
#include <bits/stdc++.h>

using namespace std;

typedef long long ll;

const int N = 3e4 + 30, B = 200;
const int inf = 2e9;

int n, m;
int dist[N][B];
bool bio[N];
vector<int> adj[N];

struct rec {
    int d, v, p;

    friend bool operator<(const rec& a, const rec& b) {
        if (a.d != b.d)
            return a.d < b.d;
        if (a.v != b.v)
            return a.v < b.v;
        return a.p < b.p;
    }
};

/*
5 3
0 2
1 1
4 1
*/

int main() {
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    for(int i = 0; i < N; i++) {
        for(int j = 0; j < B; j++) {
            dist[i][j] = inf;
        }
    }

    cin >> n >> m;

    int s = 0, f = 0;
    for(int i = 0; i < m; i++) {
        int x, k;
        cin >> x >> k;
        adj[x].push_back(k);

        if(i == 0) s = x;
        if(i == 1) f = x;
    }

//    priority_queue<array<int,3>> q;
    priority_queue<rec> q;

    for(auto x : adj[s]) {
        if(x < B) {
            dist[s][x] = 0;
            q.push({dist[s][x], s, x});
        } else {
            for(int k = 1; s + k * x < N; k++) {
                dist[s + k * x][0] = k;
                q.push({-dist[s + k * x][0], s + k * x, 0});
            }

            for(int k = 1; s - k * x >= 0; k++) {
                dist[s - k * x][0] = k;
                q.push({-dist[s - k * x][0], s - k * x, 0});
            }
        }
    }
    bio[s] = 1;

    while(!q.empty()) {
        auto top = q.top();
        int d = top.d;
        int v = top.v;
        int p = top.p;
        q.pop();
        d = -d;

        if(d > dist[v][p]) continue;

        if(!bio[v]) {
              for(auto x : adj[v]) {
                    if(x < B) {
                          dist[v][x] = d;
                          q.push({-dist[v][x], v, x});
                    } else {
                          for(int k = 1; v + k * x < n; k++) {
                                if(dist[v + k * x][0] > d + k) {
                                      dist[v + k * x][0] = d + k;
                                      q.push({-dist[v + k * x][0], v + k * x, 0});
                                }
                          }

                          for(int k = 1; v - k * x >= 0; k++) {
                                if(dist[v - k * x][0] > d + k) {
                                      dist[v - k * x][0] = d + k;
                                      q.push({-dist[v - k * x][0], v - k * x, 0});
                                }
                          }
                    }
              }
              bio[v] = 1;
        }

        if(v + p < N && dist[v + p][p] > d + 1) {
              dist[v + p][p] = d + 1;
              q.push({-dist[v + p][p], v + p, p});
        }

        if(v - p >= 0 && dist[v - p][p] > d + 1) {
              dist[v - p][p] = d + 1;
              q.push({-dist[v - p][p], v - p, p});
        }
    }

    int ans = inf;
    for(int k = 0; k < B; k++)
        ans = min(ans, dist[f][k]);

    if(ans == inf)
        ans = -1;

    cout << ans << '\n';

    return 0;
}
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