Submission #478223

#TimeUsernameProblemLanguageResultExecution timeMemory
478223khoabrightRainforest Jumps (APIO21_jumps)C++17
37 / 100
4013 ms50448 KiB
#include <bits/stdc++.h>
using namespace std;

#define ff first
#define ss second
#define pii pair<int, int>
#define all(x) x.begin(), x.end()
#define rep(i, a, b) for (int i = (int)a; i <= (int)b; ++i)
#define rep1(i, a, b) for (int i = (int)a; i >= (int)b; --i)
#define mp make_pair

const int N = 2e5 + 5;
const int k = 19;

int L[N][20], R[N][20], higher[N][20], h[N];
int my_size;
bool sub1 = 1;

void cal_LR() {
    rep(i, 1, my_size) if (h[i] != i) {
        sub1 = 0;
        break;
    }
    if (sub1) return;
    stack<int> st;

    rep(i, 1, my_size) {
        while (!st.empty() && h[st.top()] < h[i]) st.pop();
        if (!st.empty()) L[i][0] = st.top();

        st.push(i);
    }

    while (!st.empty()) st.pop();

    rep1(i, my_size, 1) {
        while (!st.empty() && h[st.top()] < h[i]) st.pop();
        if (!st.empty()) R[i][0] = st.top();

        st.push(i);
    }

    rep(i, 1, my_size) {
        if (h[L[i][0]] > h[R[i][0]]) higher[i][0] = L[i][0];
        else higher[i][0] = R[i][0];
    }

    rep(u, 1, k) {
        rep(i, 1, my_size) {
            L[i][u] = L[L[i][u - 1]][u - 1];
            R[i][u] = R[R[i][u - 1]][u - 1];
            higher[i][u] = higher[higher[i][u - 1]][u - 1];
        }
    }
}

int minimum_jumps_sub1234(int a, int b, int c, int d) {
    if (sub1) return c - b;
    ++a, ++b, ++c, ++d;
    queue<pii> q;
    vector<bool> vst(my_size + 1);
    vst[0] = 1;

    rep(i, a, b) q.push({i, 0}), vst[i] = 1;

    while (!q.empty()) {
        auto [u, w] = q.front();
        q.pop();
        if (c <= u && u <= d) return w;
        int v = L[u][0];
        if (!vst[v]) {
            q.push({v, w + 1});
            vst[v] = 1;
        }
        v = R[u][0];
        if (!vst[v]) {
            q.push({v, w + 1});
            vst[v] = 1;
        }
    }

    return -1;
}

int minimum_jumps_sub5(int s, int t) {
    ++s, ++t;

    int ans = 0;

    //cout << "s,H,L,R="<<s<<' '<<higher[s][0] << ' ' << L[s][0] << ' ' << R[s][0] << '\n';
    rep1(u, k, 0) {
        if (higher[s][u] != 0 && h[higher[s][u]] <= h[t]) {
            ans += (1 << u);
            s = higher[s][u];
        }
    }

    if (s != t) {
        //cout << "s,ans,R0="<<s<<' '<<ans<<' '<<R[s][0]<<'\n';
        rep1(u, k, 0) {
            if (R[s][u] != 0 && h[R[s][u]] <= h[t]) {
                ans += (1 << u);
                s = R[s][u];
            }
        }
    }

    if (s != t) {
        return -1;
    }
    else return ans;
}

int minimum_jumps(int a, int b, int c, int d) {
    //if (a == b && c == d) return minimum_jumps_sub5(a, c);
    return minimum_jumps_sub1234(a, b, c, d);
}

void init(int sz, vector<int> array) {
    my_size = sz;
    rep(i, 1, my_size) h[i] = array[i - 1];   
    cal_LR();
}

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