#include "cycle.h"
#include <bits/stdc++.h>
using namespace std;
#define rep(i, a, b) for(int i = a; i < (b); ++i)
#define all(x) begin(x), end(x)
#define sz(x) (int)(x).size()
#define F first
#define S second
#define pb push_back
typedef long long ll;
typedef pair<int, int> pii;
typedef vector<int> vi;
void escape(int n) {
bool init = jump(0);
int last = 1+n/2;
for(int p = 30; p>=0; p--){
int j = 1<<p;
if(j>=n) continue;
int u = j;
if(!init){
u = (n-last+j)%n;
}
last=j;
init=jump(u);
}
if(!init)jump(n-last);
}
