#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1LL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll lcm(ll a, ll b){return a / gcd(a, b) * b;}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
double rngesus_d(double l, double r){
double cur = rngesus(0, MASK(60) - 1);
cur /= MASK(60) - 1;
return l + cur * (r - l);
}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
#include "plants.h"
ostream& operator << (ostream& os, pair<int, int> x){
os << "(" << x.first << ", " << x.second << ")";
return os;
}
const int N = 5005, LOG_N = 20;
const int INF = 1e9 + 69;
int n, k;
int order[N * 2];
int nxt1[LOG_N][N * 2], nxt2[LOG_N][N*2];
void init(int _k, vector<int> r){
n = r.size(), k = _k;
for(int it = 0; it < n; ++it){
vector<int> dis(n);
dis[0] = 1;
for(int i = 1; i < 2 * n; ++i){
int j1 = (i - 1) % n, j2 = i % n;
if (r[j1] == 0) dis[j2] = 1;
else dis[j2] = dis[j1] + 1;
}
int pos = -1;
for(int i = 0; i < n; ++i) if (r[i] == 0 && dis[i] >= k) pos = i;
if (pos == -1) assert(false);
for(int i = 1; i < k; ++i)
r[(pos + n - i) % n]--;
r[pos] = INF;
order[pos] = order[pos + n] = n - it;
}
set<pair<int, int>> S; S.insert(make_pair(0, 2 * n));
nxt1[0][2*n] = 2*n;
for(int i = 2 * n - 1; i >= 0; --i){
if (i + k < 2 * n) S.erase(make_pair(order[i + k], i + k));
auto it = S.upper_bound(make_pair(order[i], -1));
if (it != S.begin()){
it--;
pair<int,int> cur = *it;
nxt1[0][i] = cur.second;
}
S.insert(make_pair(order[i], i));
}
S.clear();
S.insert(make_pair(0, -1));
nxt2[0][0] = 0;
for(int i = 0; i < 2 * n; ++i){
if (i - k >= 0) S.erase(make_pair(order[i - k], i - k));
auto it = S.upper_bound(make_pair(order[i], -1));
if (it != S.begin()){
it--;
pair<int,int> cur = *it;
nxt2[0][i + 1] = cur.second + 1;
}
S.insert(make_pair(order[i], i));
}
for(int j = 1; j < LOG_N; ++j)
for(int i = 0; i <= 2 * n; ++i){
nxt1[j][i] = nxt1[j-1][nxt1[j-1][i]];
nxt2[j][i] = nxt2[j-1][nxt2[j-1][i]];
}
}
bool check_more_than(int x, int y){
// check if (x) > (y)
// walk from x to y
if (y - x < k){
return 1;
}
else{
for(int j = LOG_N - 1; j >= 0; --j) {
int _x = nxt1[j][x];
if (y - _x >= k) x = _x;
}
x = nxt1[0][x];
if (x == y || (x < y && order[x] > order[y])) return 1;
}
return 0;
}
bool check_less_than(int x, int y){
// check if (x) < (y)
// walk from y to x
if (y - x < k){
return 1;
}
else{
for(int j = LOG_N - 1; j >= 0; --j) {
int _y = nxt2[j][y+1]-1;
if (_y - x >= k) y = _y;
}
y = nxt2[0][y+1]-1;
if (x == y || (x < y && order[x] < order[y])) return 1;
}
return 0;
}
int compare_plants(int x, int y){
if (order[x] > order[y]){ // either x is larger than y, or it is inconclusive
if (check_more_than(x, y) || check_less_than(y, x + n)) return 1;
}
else{ // either x is larger than y, or it is inconclusive
if (check_more_than(y, x + n) || check_less_than(x, y)) return -1;
}
return 0;
}
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