oj.uz

Submission #558586

# Submission time Handle Problem Language Result Execution time Memory
558586 2022-05-07T15:00:19 Z pakhomovee Rainforest Jumps (APIO21_jumps) C++17
0 / 100
 4000 ms 197444 KB 
#include "jumps.h"

#include <vector>
#include <algorithm>
#include <iostream>

using namespace std;

const int maxn = 1 << 20;

struct segTreeMax {
    pair<int, int> tree[maxn];
    
    void build(int i, int l, int r, vector<int> & h) {
        if (l + 1 == r) {
            tree[i] = { h[l], l };
            return;
        }
        int m = (l + r) / 2;
        build(i * 2 + 1, l, m, h);
        build(i * 2 + 2, m, r, h);
        tree[i] = max(tree[i * 2 + 1], tree[i * 2 + 2]);
    }
    
    pair<int, int> get(int i, int l, int r, int ql, int qr) {
        if (qr <= l || r <= ql) {
            return { -1, -1 };
        }
        if (ql <= l && r <= qr) {
            return tree[i];
        }
        int m = (l + r) / 2;
        return max(get(i * 2 + 1, l, m, ql, qr), get(i * 2 + 2, m, r, ql, qr));
    }
};

struct segTreeMin {
    pair<int, int> tree[maxn];
    
    void build(int i, int l, int r, vector<int> & h) {
        if (l + 1 == r) {
            tree[i] = { h[l], l };
            return;
        }
        int m = (l + r) / 2;
        build(i * 2 + 1, l, m, h);
        build(i * 2 + 2, m, r, h);
        tree[i] = min(tree[i * 2 + 1], tree[i * 2 + 2]);
    }
    
    pair<int, int> get(int i, int l, int r, int ql, int qr) {
        if (qr <= l || r <= ql) {
            return { 1e9, -1 };
        }
        if (ql <= l && r <= qr) {
            return tree[i];
        }
        int m = (l + r) / 2;
        return min(get(i * 2 + 1, l, m, ql, qr), get(i * 2 + 2, m, r, ql, qr));
    }
};

struct mst {
    vector<int> tree[maxn];
    
    void build(int i, int l, int r, int* h) {
        if (l + 1 == r) {
            tree[i] = { h[l] };
            return;
        }
        int m = (l + r) / 2;
        build(i * 2 + 1, l, m, h);
        build(i * 2 + 2, m, r, h);
        tree[i].resize(tree[i * 2 + 1].size() + tree[i * 2 + 2].size());
        merge(tree[i * 2 + 1].begin(), tree[i * 2 + 1].end(), tree[i * 2 + 2].begin(), tree[i * 2 + 2].end(), tree[i].begin());
    }
    
    int get(int i, int l, int r, int ql, int qr, int x) {
        if (qr <= l || r <= ql) {
            return 0;
        }
        if (ql <= l && r <= qr) {
            if (tree[i][0] > x) {
                return -1;
            }
            return *(--upper_bound(tree[i].begin(), tree[i].end(), x - 1));
        }
        int m = (l + r) / 2;
        return max(get(i * 2 + 1, l, m, ql, qr, x), get(i * 2 + 2, m, r, ql, qr, x));
    }
};

segTreeMax st;
segTreeMin st1;
mst st2;
mst st3;
int upRight[20][maxn];
int upLeft[20][maxn];
vector<int> gLeft[maxn];
vector<int> gRight[maxn];
int hLeft[maxn];
int hRight[maxn];
int n;

void dfsLeft(int v, vector<bool> &used, int h) {
    used[v] = 1;
    hLeft[v] = h;
    for (int u : gLeft[v]) {
        dfsLeft(u, used, h + 1);
    }
}

void dfsRight(int v, vector<bool> &used, int h) {
    used[v] = 1;
    hRight[v] = h;
    for (int u : gRight[v]) {
        dfsRight(u, used, h + 1);
    }
}

void init(int N, std::vector<int> H) {
    n = N;
    st.build(0, 0, N, H);
    st1.build(0, 0, N, H);
    int HH[N];
    for (int i = 0; i < N; ++i) {
        HH[i] = H[i];
    }
    st3.build(0, 0, N, HH);
    vector<pair<int, int>> stk;
    for (int i = 0; i < N; ++i) {
        while (!stk.empty() && stk.back() < make_pair(H[i], i)) {
            stk.pop_back();
        }
        if (!stk.empty()) {
            upLeft[0][i] = stk.back().second;
        } else {
            upLeft[0][i] = -1;
        }
        stk.push_back({ H[i], i });
    }
    stk.clear();
    for (int i = N - 1; i >= 0; --i) {
        while (!stk.empty() && stk.back() < make_pair(H[i], i)) {
            stk.pop_back();
        }
        if (!stk.empty()) {
            upRight[0][i] = stk.back().second;
        } else {
            upRight[0][i] = -1;
        }
        stk.push_back({ H[i], i });
    }
    stk.clear();
    for (int j = 1; j < 20; ++j) {
        for (int i = 0; i < N; ++i) {
            if (upLeft[j - 1][i] != -1) {
                upLeft[j][i] = upLeft[j - 1][upLeft[j - 1][i]];
            } else {
                upLeft[j][i] = -1;
            }
            if (upRight[j - 1][i] != -1) {
                upRight[j][i] = upRight[j - 1][upRight[j - 1][i]];
            } else {
                upRight[j][i] = -1;
            }
        }
    }
    
    vector<int> in(N, 0);
    for (int i = 0; i < N; ++i) {
        if (upLeft[0][i] != -1) {
            gLeft[upLeft[0][i]].push_back(i);
            ++in[i];
        }
        if (upRight[0][i] != -1) {
            gRight[upRight[0][i]].push_back(i);
        }
    }
    vector<bool> usedLeft(N, false);
    vector<bool> usedRight(N, false);
    for (int i = 0; i < N; ++i) {
        if (!usedLeft[i] && in[i] == 0) {
            dfsLeft(i, usedLeft, 0);
        }
        if (!usedRight[i] && in[i] == 0) {
            dfsRight(i, usedRight, 0);
        }
    }
    st2.build(0, 0, N, hRight);
}

int fromPointToSegment(int mid, int l, int r) {
    int ans = 0;
    for (int j = 19; j >= 0; --j) {
        if (upRight[j][mid] != -1 && upRight[j][mid] < l) {
            ans += (1 << j);
            mid = upRight[j][mid];
        }
    }
    mid = upRight[0][mid];
    if (mid <= r) {
        return ans + 1;
    }
    return -1e9;
}

int fromSegmentToPoint(int l, int r, int mid, int v) {
    int x = st2.get(0, 0, n, l, r + 1, hRight[mid]);
    if (x > hRight[mid]) {
        return -1e9;
    }
    return hRight[mid] - x;
}

int minimum_jumps(int A, int B, int C, int D) {
    auto [xmid, midpos] = st.get(0, 0, n, B + 1, C);
    int xleft = st1.get(0, 0, n, A, B + 1).first;
    int xright = st.get(0, 0, n, C, D + 1).first;
    if (xright < xmid || xleft > xright) {
        return -1;
    }
    int q = st3.get(0, 0, n, A, B + 1, xright);
    if (q > xmid) {
        return 1;
    }
    int ans = fromPointToSegment(midpos, C, D);
    ans += fromSegmentToPoint(A, B, midpos, xmid);
    if (ans < 0) {
        return -1;
    }
    return ans;
}

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 99160 KB Output is correct
2 Correct 48 ms 99116 KB Output is correct
3 Execution timed out 4100 ms 161632 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #2
0 / 8.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 99068 KB Output is correct
2 Correct 45 ms 99088 KB Output is correct
3 Correct 50 ms 99064 KB Output is correct
4 Correct 50 ms 99104 KB Output is correct
5 Incorrect 49 ms 99092 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #3
0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 48 ms 99068 KB Output is correct
2 Correct 45 ms 99088 KB Output is correct
3 Correct 50 ms 99064 KB Output is correct
4 Correct 50 ms 99104 KB Output is correct
5 Incorrect 49 ms 99092 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #4
0 / 12.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 99036 KB Output is correct
2 Correct 46 ms 99092 KB Output is correct
3 Correct 52 ms 99108 KB Output is correct
4 Correct 46 ms 99116 KB Output is correct
5 Correct 265 ms 179384 KB Output is correct
6 Correct 255 ms 197108 KB Output is correct
7 Correct 141 ms 148444 KB Output is correct
8 Correct 283 ms 197444 KB Output is correct
9 Correct 76 ms 113036 KB Output is correct
10 Correct 252 ms 196700 KB Output is correct
11 Execution timed out 4081 ms 175720 KB Time limit exceeded
12 Halted 0 ms 0 KB -

Subtask #5
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 99024 KB Output is correct
2 Correct 46 ms 99020 KB Output is correct
3 Correct 47 ms 99080 KB Output is correct
4 Incorrect 341 ms 143576 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #6
0 / 21.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 99024 KB Output is correct
2 Correct 46 ms 99020 KB Output is correct
3 Correct 47 ms 99080 KB Output is correct
4 Incorrect 341 ms 143576 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #7
0 / 19.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 99160 KB Output is correct
2 Correct 48 ms 99116 KB Output is correct
3 Execution timed out 4100 ms 161632 KB Time limit exceeded
4 Halted 0 ms 0 KB -