This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "plants.h"
#include <iostream>
using namespace std;
const int MAX_N = 2e5;
int N, K;
int v[MAX_N], hGen[MAX_N];
int aint_mn[4 * MAX_N];
int aint_pos[4 * MAX_N];
int aint_lazy[4 * MAX_N];
int cval;
void propag(int n, int nl, int nr) {
    aint_mn[n * 2 + 1] += aint_lazy[n];
    aint_lazy[n * 2 + 1] += aint_lazy[n];
    aint_mn[n * 2 + 2] += aint_lazy[n];
    aint_lazy[n * 2 + 2] += aint_lazy[n];
    aint_lazy[n] = 0;
}
void init_aint(int n = 0, int nl = 0, int nr = 0) {
    if (n == 0) nr = N - 1;
    aint_pos[n] = nl;
    if (nl < nr) {
        int mid = (nl + nr) / 2;
        init_aint(n * 2 + 1, nl, mid);
        init_aint(n * 2 + 2, mid + 1, nr);
    }
}
pair<int, int> query(int l, int r, int n = 0, int nl = 0, int nr = 0) {
    if (n == 0) nr = N - 1;
    if (l == nl && r == nr) {
        return {aint_mn[n], aint_pos[n]};
    }
    propag(n, nl, nr);
    pair<int, int> q1, q2;
    int mid = (nl + nr) / 2;
    if (r <= mid)
        return query(l, r, n * 2 + 1, nl, mid);
    else if (l > mid)
        return query(l, r, n * 2 + 2, mid + 1, nr);
    else {
        q1 = query(l, mid, n * 2 + 1, nl, mid);
        q2 = query(mid + 1, r, n * 2 + 2, mid + 1, nr);
        return min(q1, q2);
    }
}
void update(int l, int r, int val, int n = 0, int nl = 0, int nr = 0) {
    if (n == 0) nr = N - 1;
    if (l == nl && r == nr) {
        aint_mn[n] += val;
        aint_lazy[n] += val;
        return;
    }
    propag(n, nl, nr);
    int mid = (nl + nr) / 2;
    if (l <= mid)
        update(l, min(mid, r), val, n * 2 + 1, nl, mid);
    if (r > mid)
        update(max(mid + 1, l), r, val, n * 2 + 2, mid + 1, nr);
    if (aint_mn[n * 2 + 1] < aint_mn[n * 2 + 2]) {
        aint_mn[n] = aint_mn[n * 2 + 1];
        aint_pos[n] = aint_pos[n * 2 + 1];
    } else {
        aint_mn[n] = aint_mn[n * 2 + 2];
        aint_pos[n] = aint_pos[n * 2 + 2];
    }
}
void solve(int x) {
    if (x >= K - 1) {
        pair<int, int> q = query(x - K + 1, x - 1);
        if (q.first == 0) {
            solve(q.second);
            solve(x);
            return;
        }
    } else {
        pair<int, int> q = query(N + x - K + 1, N - 1);
        if (q.first != 0 && x > 0)
            q = query(0, x - 1);
        if (q.first == 0) {
            solve(q.second);
            solve(x);
            return;
        }
    }
    hGen[x] = cval;
    cval--;
    if (x >= K - 1) {
        update(x - K + 1, x - 1, -1);
    } else {
        if (x > 0)
            update(0, x - 1, -1);
        update(N + x - K + 1, N - 1, -1);
    }
    update(x, x, +1000000);
}
void gen(int k, vector<int> r) {
    init_aint();
    for (int i = 0; i < N; i++) {
        update(i, i, r[i]);
    }
    cval = N;
    while (aint_mn[0] == 0) {
        solve(aint_pos[0]);
    }
}
const int LOG = 20;
int leftV[LOG][MAX_N];
int rightV[LOG][MAX_N];
#include <set>
void calc_lr() {
    multiset<pair<int, int>> w;
    for (int i = N - K + 1; i < N; i++) {
        w.insert({hGen[i], i});
    }
    for (int i = 0; i < N; i++) {
        multiset<pair<int, int>>::iterator it = w.lower_bound({hGen[i], i});
        if (it != w.begin()) {
            it--;
            leftV[0][i] = (i - it->second + N) % N;
        }
        int rmv = (N + i - K + 1) % N;
        w.erase({hGen[rmv], rmv});
        w.insert({hGen[i], i});
    }
    w.clear();
    for (int i = 0; i < K - 1; i++) {
        w.insert({hGen[i], i});
    }
    for (int i = N - 1; i >= 0; i--) {
        multiset<pair<int, int>>::iterator it = w.lower_bound({hGen[i], i});
        if (it != w.begin()) {
            it--;
            rightV[0][i] = (it->second - i + N) % N;
        }
        int rmv = (N + i + K - 1) % N;
        w.erase({hGen[rmv], rmv});
        w.insert({hGen[i], i});
    }
    for (int l = 1; l < LOG; l++)
        for (int i = 0; i < N; i++) {
            rightV[l][i] = rightV[l - 1][i] + rightV[l - 1][(i + rightV[l - 1][i]) % N];
            leftV[l][i] = leftV[l - 1][i] + leftV[l - 1][(i - rightV[l - 1][i] % N + N) % N];
        }
}
void init(int k, std::vector<int> r) {
    K = k;
    N = r.size();
    gen(k, r);
    calc_lr();
	return;
}
int dist(int a, int b) {
    return (b - a + N) % N;
}
int move_right(int pos, int bound) {
    for (int l = LOG - 1; l > 0; l--)
        if (rightV[l][pos] < dist(pos, bound))
            pos = (pos + rightV[l][pos]) % N;
    return pos;
}
int move_left(int pos, int bound) {
    for (int l = LOG - 1; l > 0; l--)
        if (leftV[l][pos] < dist(bound, pos))
            pos = (pos - leftV[l][pos] + N) % N;
    return pos;
}
int compare_plants(int x0, int y0) {
    int x = x0, y = y0;
    x = move_right(x0, y0);
    if (dist(x, y0) < K && hGen[x] > hGen[y0])
        return 1;
    y = move_left(y0, x0);
    if (dist(x0, y) < K && hGen[y] > hGen[x0])
        return -1;
    x = move_left(x0, y0);
    if (dist(y0, x) < K && hGen[x] > hGen[y0])
        return 1;
    y = move_right(y0, x0);
    if (dist(y, x0) < K && hGen[y] > hGen[x0])
        return -1;
    return 0;
}
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