#include "cycle.h"
#include <bits/stdc++.h>
using namespace std;
//macros
typedef long long ll;
typedef pair<int, int> ii;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<ll> vll;
#define REP(a,b,c) for(int a=int(b); a<int(c); a++)
#define RE(a,c) REP(a,0,c)
#define RE1(a,c) REP(a,1,c+1)
#define REI(a,b,c) REP(a,b,c+1)
#define REV(a,b,c) for(int a=int(c-1); a>=int(b); a--)
#define INF 1e9
#define pb push_back
#define fi first
#define se second
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
void escape(int n) {
if(n <= 30) {
if(jump(0)) jump(n/2);
while(1) {
if(jump(1)) break;
}
jump(n/2);
return;
}
int sz=n+1, prev=0;
while(sz) {
if(jump((sz+prev)%n)) {
prev = 0;
} else {
prev = n-sz;
}
sz /= 2;
}
jump(prev);
}
