#include <iostream>
#include <cstring>
#include <algorithm>
#include <vector>
#include <string>
#include <math.h>
#include <iomanip>
#include <limits>
#include <list>
#include <queue>
#include <tuple>
#include <map>
#include <stack>
#include <set>
#include <bitset>
#include <functional>
#include <cassert>
#include <atcoder/all>
using namespace std;
using namespace atcoder;
using mint = modint1000000007;
#define fast_io ios_base::sync_with_stdio (false) ; cin.tie(0) ; cout.tie(0) ;
#define ll long long int
#define rep(i,n) for(int i=0; i<(int)(n); i++)
#define reps(i,n) for(int i=1; i<=(int)(n); i++)
#define REP(i,n) for(int i=n-1; i>=0; i--)
#define REPS(i,n) for(int i=n; i>0; i--)
#define MOD (long long int)(1e9+7)
#define INF (int)(1e9)
#define LINF (long long int)(1e18)
#define chmax(a, b) a = (((a)<(b)) ? (b) : (a))
#define chmin(a, b) a = (((a)>(b)) ? (b) : (a))
#define all(v) v.begin(), v.end()
typedef pair<int, int> Pii;
typedef pair<ll, ll> Pll;

ll mpow(ll a, ll b){
  if(b==0) return 1;
  else if(b%2==0){ll memo = mpow(a,b/2); return memo*memo%MOD;}
  else return mpow(a,b-1) * a % MOD;
}
ll lpow(ll a, ll b){
  if(b==0) return 1;
  else if(b%2==0){ll memo = lpow(a,b/2); return memo*memo;}
  else return lpow(a,b-1) * a;
}
ll gcd(ll a, ll b){
  if(b==0) return a;
  else return gcd(b, a%b);
}
vector<ll> kaijo_memo;
ll kaijo(ll n){
  if(kaijo_memo.size() > n) return kaijo_memo[n];
  if(kaijo_memo.size() == 0) kaijo_memo.push_back(1);
  while(kaijo_memo.size() <= n) kaijo_memo.push_back(kaijo_memo[kaijo_memo.size()-1] * kaijo_memo.size() % MOD);
  return kaijo_memo[n];
}
vector<ll> gyaku_kaijo_memo;
ll gyaku_kaijo(ll n){
  if(gyaku_kaijo_memo.size() > n) return gyaku_kaijo_memo[n];
  if(gyaku_kaijo_memo.size() == 0) gyaku_kaijo_memo.push_back(1);
  while(gyaku_kaijo_memo.size() <= n) gyaku_kaijo_memo.push_back(gyaku_kaijo_memo[gyaku_kaijo_memo.size()-1] * mpow(gyaku_kaijo_memo.size(), MOD-2) % MOD);
  return gyaku_kaijo_memo[n];
}

ll nCr(ll n, ll r){
  if(n == r) return 1;//0個の丸と-1個の棒みたいな時に時に効く？不安.
  if(n < r || r < 0) return 0;
  ll ret = 1;
  if(n <= 1e7){
    ret *= kaijo(n); ret %= MOD;
    ret *= gyaku_kaijo(r); ret %= MOD;
    ret *= gyaku_kaijo(n-r); ret %= MOD;
  }else{
    rep(i,r){
      ret *= n-i; ret %= MOD;
      ret *= mpow(r-i, MOD-2); ret %= MOD;
    }
  }
  return ret;
}

vector<ll> yakusu(ll n){
  vector<ll> ret;
  for(ll p = 1; p*p <= n; p++){
    if(n%p == 0){
      ret.push_back(p);
      if(p*p != n){
        ret.push_back(n/p);
      }
    }
  }
  sort(all(ret));
  return ret;
}

map<ll,ll> soinsu(ll n){
  map<ll,ll> mp;
  for(ll p = 2; p*p <= n; p++){
    if(n%p == 0){
      mp[p]++;
      n /= p;
      p--;
    }
  }
  if(n > 1){
    mp[n]++;
  }
  return mp;
}

long long extGCD(long long a, long long b, long long &x, long long &y) {
    if (b == 0) {
        x = 1;
        y = 0;
        return a;
    }
    long long d = extGCD(b, a%b, y, x);
    y -= a/b * x;
    return d;
}

int main(void){
  fast_io
  cout<<fixed<<setprecision(15);

  ll n;cin>>n;
  auto mp = soinsu(2*n);
  vector<Pll> so;
  for(auto pair : mp){
    so.push_back({pair.first, pair.second});
  }

  ll min_ans = LINF;

  rep(bit, 1<<so.size()){
    ll a = 1, b = 1;
    rep(i, so.size()){
      if((bit>>i)&1){
        a *= lpow(so[i].first, so[i].second);
      }else{
        b *= lpow(so[i].first, so[i].second);
      }
    }

    ll x,y;
    extGCD(a, b, x, y);
    x *= -1;
    ll ans = a*x;
    if(ans < 0){
      ans = a*b - (-1*ans % (a*b));
    }
    //cout<<a<<" "<<b<<" "<<b<<" "<<y<<" "<<a<<" "<<x<<" "<<ans%(a*b)<<endl;
    if(ans == 0) continue;
    chmin(min_ans, ans);
  }
  cout<<min_ans<<endl;
  return 0;
}

Measured memory_bytes: 3700