Submission #561389

# Submission time Handle Problem Language Result Execution time Memory
561389 2022-05-12T18:10:36 Z piOOE Rainforest Jumps (APIO21_jumps) C++17
4 / 100
936 ms 47520 KB
#include "jumps.h"

#include <bits/stdc++.h>

using namespace std;

#define all(x) begin(x), end(x)

const int logn = 19, N = 200001;

int h[N], jump[logn][N], R[N], L[N], spt[logn][N], n, jmp[logn][N];
const int infI = 1e9 + 7;

bool okk = true;

int Min(int i, int j) {
    return h[i] < h[j] ? i : j;
}

int Max(int i, int j) {
    return h[i] > h[j] ? i : j;
}

int get_max(int l, int r) {
    if (r <= l) return -1;
    int sz = __lg(r - l);
    return Max(spt[sz][l], spt[sz][r - (1 << sz)]);
}

void init(int nn, vector<int> H) {
    n = nn;
    for (int i = 0; i < n; ++i) {
        h[i] = H[i];
        okk &= (H[i] == i + 1);
    }
    vector<int> st;
    for (int i = 0; i < n; ++i) {
        while (!st.empty() && h[st.back()] < h[i]) {
            R[st.back()] = i;
            st.pop_back();
        }
        if (st.empty()) {
            L[i] = -1;
        } else {
            L[i] = st.back();
        }
        st.push_back(i);
    }
    for (int i: st) {
        R[i] = n;
    }
    st.clear();
    for (int i = 0; i < n; ++i) {
        if (R[i] == n)
            jump[0][i] = L[i];
        else if (L[i] == -1)
            jump[0][i] = R[i];
        else
            jump[0][i] = Max(L[i], R[i]);
        jmp[0][i] = R[i];
        spt[0][i] = i;
    }
    jmp[0][n] = n;
    jump[0][n] = -1;
    for (int j = 1; j < logn; ++j) {
        for (int i = 0; i <= n; ++i) {
            if (jump[j - 1][i] != -1)
                jump[j][i] = jump[j - 1][jump[j - 1][i]];
            else
                jump[j][i] = -1;
            jmp[j][i] = jmp[j - 1][jmp[j - 1][i]];
        }
    }
    for (int j = 1; j < logn; ++j) {
        for (int i = 0; i + (1 << j) <= n; ++i) {
            spt[j][i] = Max(spt[j - 1][i], spt[j - 1][i + (1 << (j - 1))]);
        }
    }
}

int minimum_jumps(int A, int B, int C, int D) {
    if (okk) {
        return C - B;
    }
    ++D, ++B;
    int mxcd = get_max(C, D);
    int lx = A - 1, rx = C;
    while (lx + 1 < rx) {
        int m = (lx + rx) >> 1;
        if (h[get_max(m, C)] < h[mxcd]) rx = m;
        else lx = m;
    }
    if (rx >= B) {
        return -1;
    }
    int i = get_max(rx, B);
    int ans = infI;
    int nw = 0;
    for (int j = logn - 1; j > -1; --j) {
        if (jump[j][i] == -1) continue;
        if (jump[j][i] >= C && jump[j][i] < D) {
            ans = min(ans, nw + (1 << j));
        } else if (jump[j][i] >= h[C] && h[jump[j][i]] < h[mxcd]) {
            ans = min(ans, nw + (1 << j) + 1);
        }
        if (h[jump[j][i]] < h[C]) {
            nw += (1 << j);
            i = jump[j][i];
        }
    }
    assert(L[i] != C);
    assert(i < C);
    if (R[i] >= C && R[i] < D) {
        return min(ans, nw + 1);
    } else if (L[i] != -1 && h[L[i]] < h[mxcd]) {
        assert(h[L[i]] >= h[C]);
        return min(ans, nw + 2);
    } else {
        for (int j = logn - 1; j > -1; --j) {
            if (jmp[j][i] < C) {
                nw += (1 << j);
                i = jmp[j][i];
            }
        }
        assert(R[i] >= C && R[i] < D);
        return min(ans, nw + 1);
    }
}
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 130 ms 37416 KB Output is correct
4 Correct 782 ms 47012 KB Output is correct
5 Correct 711 ms 23644 KB Output is correct
6 Correct 858 ms 47036 KB Output is correct
7 Correct 783 ms 32072 KB Output is correct
8 Correct 936 ms 46980 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 496 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Incorrect 2 ms 464 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 496 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 1 ms 512 KB Output is correct
5 Incorrect 2 ms 464 KB Output isn't correct
6 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 1 ms 464 KB Output is correct
4 Correct 1 ms 492 KB Output is correct
5 Correct 43 ms 37916 KB Output is correct
6 Correct 66 ms 47024 KB Output is correct
7 Correct 24 ms 24076 KB Output is correct
8 Correct 54 ms 46964 KB Output is correct
9 Correct 12 ms 7212 KB Output is correct
10 Correct 56 ms 47004 KB Output is correct
11 Correct 49 ms 47032 KB Output is correct
12 Correct 47 ms 47032 KB Output is correct
13 Correct 69 ms 47036 KB Output is correct
14 Correct 56 ms 47032 KB Output is correct
15 Incorrect 71 ms 47520 KB Output isn't correct
16 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 0 ms 464 KB Output is correct
4 Incorrect 287 ms 21504 KB Output isn't correct
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 464 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 0 ms 464 KB Output is correct
4 Incorrect 287 ms 21504 KB Output isn't correct
5 Halted 0 ms 0 KB -
# Verdict Execution time Memory Grader output
1 Correct 1 ms 512 KB Output is correct
2 Correct 1 ms 464 KB Output is correct
3 Correct 130 ms 37416 KB Output is correct
4 Correct 782 ms 47012 KB Output is correct
5 Correct 711 ms 23644 KB Output is correct
6 Correct 858 ms 47036 KB Output is correct
7 Correct 783 ms 32072 KB Output is correct
8 Correct 936 ms 46980 KB Output is correct
9 Correct 1 ms 512 KB Output is correct
10 Correct 1 ms 496 KB Output is correct
11 Correct 1 ms 464 KB Output is correct
12 Correct 1 ms 512 KB Output is correct
13 Incorrect 2 ms 464 KB Output isn't correct
14 Halted 0 ms 0 KB -