#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template<typename T> using Tree = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef long long int ll;
typedef long double ld;
typedef pair<int,int> pii;
typedef pair<ll,ll> pll;
#define fastio ios_base::sync_with_stdio(false); cin.tie(NULL)
#define pb push_back
#define endl '\n'
#define sz(a) (int)a.size()
#define setbits(x) __builtin_popcountll(x)
#define ff first
#define ss second
#define conts continue
#define ceil2(x,y) ((x+y-1)/(y))
#define all(a) a.begin(), a.end()
#define rall(a) a.rbegin(), a.rend()
#define yes cout << "Yes" << endl
#define no cout << "No" << endl
#define rep(i,n) for(int i = 0; i < n; ++i)
#define rep1(i,n) for(int i = 1; i <= n; ++i)
#define rev(i,s,e) for(int i = s; i >= e; --i)
#define trav(i,a) for(auto &i : a)
template<typename T>
void amin(T &a, T b) {
a = min(a,b);
}
template<typename T>
void amax(T &a, T b) {
a = max(a,b);
}
#ifdef LOCAL
#include "debug.h"
#else
#define debug(...) 42
#endif
/*
already knew the key solution idea
*/
const int MOD = 1e9 + 7;
const int N = 1e5 + 5;
const int inf1 = int(1e9) + 5;
const ll inf2 = ll(1e18) + 5;
#include "choreography.h"
vector<array<int,2>> a;
int j;
int n;
vector<int> p,q;
int ip[2][2], fp[2][2];
void init(int n_, std::vector<int> p_) {
n = n_;
p = p_;
q = vector<int>(n);
rep(i,n) q[p[i]] = i;
rep(i,n) a.pb({i,p[i]});
j = 0;
}
void move_right(int k) {
rep(x,2){
ip[j][x] += k;
ip[j][x] %= n;
}
int ofp[2][2];
rep(x,2) rep(y,2) ofp[x][y] = fp[x][y];
rep(x,2){
int prev_parity = (x-k);
prev_parity &= 1;
fp[j][x] = ofp[j][prev_parity]-k;
fp[j][x] = (fp[j][x]%n+n)%n;
}
}
void move_left(int k) {
move_right(n-k);
}
void swap_places() {
rep(x,2){
if((x+ip[j][x])&1) ip[j][x]--;
else ip[j][x]++;
ip[j][x] = (ip[j][x]%n+n)%n;
}
int ofp[2][2];
rep(x,2) rep(y,2) ofp[x][y] = fp[x][y];
rep(x,2){
int add = 1;
if(x) add = -1;
fp[j][x] = ofp[j][x^1]+add;
fp[j][x] = (fp[j][x]%n+n)%n;
}
}
void move_around() {
j ^= 1;
}
int get_position(int d){
int change = fp[j^1][d&1];
d += change;
d %= n;
if(j^1){
d = q[d];
}
int i = a[d][j];
i += ip[j][i&1];
i %= n;
return i;
}
