#line 1 "main.cpp"

/**
 * @title Template
 */

#include <iostream>
#include <algorithm>
#include <utility>
#include <numeric>
#include <vector>
#include <array>
#include <cassert>

#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/chmin_chmax.cpp"

template <class T, class U>
constexpr bool chmin(T &lhs, const U &rhs) {
  if (lhs > rhs) { lhs = rhs; return true; }
  return false;
}

template <class T, class U>
constexpr bool chmax(T &lhs, const U &rhs) {
  if (lhs < rhs) { lhs = rhs; return true; }
  return false;
}

/**
 * @title Chmin/Chmax
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/other/range.cpp"

class range {
public:
  class iterator {
  private:
    int64_t M_position;

  public:
    constexpr iterator(int64_t position) noexcept: M_position(position) { }
    constexpr void operator ++ () noexcept { ++M_position; }
    constexpr bool operator != (iterator other) const noexcept { return M_position != other.M_position; }
    constexpr int64_t operator * () const noexcept { return M_position; }
  };

  class reverse_iterator {
  private:
    int64_t M_position;
  
  public:
    constexpr reverse_iterator(int64_t position) noexcept: M_position(position) { }
    constexpr void operator ++ () noexcept { --M_position; }
    constexpr bool operator != (reverse_iterator other) const noexcept { return M_position != other.M_position; }
    constexpr int64_t operator * () const noexcept { return M_position; }
  };
  
private:
  const iterator M_first, M_last;

public:
  constexpr range(int64_t first, int64_t last) noexcept: M_first(first), M_last(std::max(first, last)) { }
  constexpr iterator begin() const noexcept { return M_first; }
  constexpr iterator end() const noexcept { return M_last; }
  constexpr reverse_iterator rbegin() const noexcept { return reverse_iterator(*M_last - 1); } 
  constexpr reverse_iterator rend() const noexcept { return reverse_iterator(*M_first - 1); } 
};

/**
 * @title Range
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/other/rev.cpp"

#include <type_traits>
#include <iterator>
#line 6 "/Users/kodamankod/Desktop/cpp_programming/Library/other/rev.cpp"

template <class T>
class rev_impl {
public:
  using iterator = decltype(std::rbegin(std::declval<T>()));

private:
  const iterator M_begin;
  const iterator M_end;

public:
  constexpr rev_impl(T &&cont) noexcept: M_begin(std::rbegin(cont)), M_end(std::rend(cont)) { }
  constexpr iterator begin() const noexcept { return M_begin; }
  constexpr iterator end() const noexcept { return M_end; }
};

template <class T>
constexpr decltype(auto) rev(T &&cont) {
  return rev_impl<T>(std::forward<T>(cont));
}

/**
 * @title Reverser
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/fact_prime.cpp"

#include <cstddef>
#line 9 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/fact_prime.cpp"
#include <type_traits>

template <class T, std::enable_if_t<std::is_integral<T>::value>* = nullptr>
std::vector<std::pair<T, size_t>> factorize(T x) {
  assert(x > 0);
  if (x == 1) return { };
  std::vector<std::pair<T, size_t>> res;
  for (T i = 2; i * i <= x; ++i) {
    if (x % i == 0) {
      res.emplace_back(i, 0);
      while (x % i == 0) {
        res.back().second++;
        x /= i;
      }
    }
  }
  if (x > 1) {
    res.emplace_back(x, 1);
  }
  return res;
}

template <class T, std::enable_if_t<std::is_integral<T>::value>* = nullptr>
std::vector<T> divisors(const T x) {
  std::vector<T> small, big;
  for (T i = 1; i * i <= x; ++i) {
    if (x % i == 0) {
      small.push_back(i);
      if (i * i != x) {
        big.push_back(x / i);
      }
    }
  }
  small.reserve(small.size() + big.size());
  std::copy(big.rbegin(), big.rend(), std::back_inserter(small));
  return small;
}

/**
 * @title Factors/Divisors
 */
#line 2 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/ext_gcd.cpp"

#line 4 "/Users/kodamankod/Desktop/cpp_programming/Library/algebraic/ext_gcd.cpp"
#include <cstdint>

constexpr std::pair<int64_t, int64_t> ext_gcd(int64_t a, int64_t b) {
  if ((a %= b) == 0) return { b, 0 };
  int64_t s = b, t = (a < 0 ? a + b : a);
  int64_t m0 = 0, m1 = 1, tmp = 0;
  while (t > 0) {
    const auto u = s / t;
    s -= t * u; m0 -= m1 * u;
    tmp = s; s = t; t = tmp; tmp = m0; m0 = m1; m1 = tmp;
  }
  return { s, (m0 < 0 ? m0 + b / s : m0) };
}

/**
 * @title Extended GCD
 */
#line 19 "main.cpp"

using i32 = int32_t;
using i64 = int64_t;
using u32 = uint32_t;
using u64 = uint64_t;

constexpr i32 inf32 = (i32(1) << 30) - 1;
constexpr i64 inf64 = (i64(1) << 62) - 1;

int main() {
  i64 N;
  std::cin >> N;
  const auto vec = factorize(2 * N);
  const i32 size = vec.size();
  std::vector<i64> prd(size, 1);
  for (auto i: range(0, size)) {
    const auto [p, e] = vec[i];
    for (auto j: range(0, e)) {
      prd[i] *= p;
    }
  }
  i64 ans = inf64;
  for (auto set: range(0, 1 << size)) {
    i64 a = 1, b = 1;
    for (auto i: range(0, size)) {
      if (set >> i & 1) {
        a *= prd[i];
      }
      else {
        b *= prd[i];
      }
    }
    if (b != 1) {
      const auto a2 = ((-a) % b + b) % b;
      const auto [x, y] = ext_gcd(a2, b);
      chmin(ans, __int128_t(a) * y);
    }
    else {
      chmin(ans, a);
    }
  }
  std::cout << ans << '\n';
  return 0;
}


Measured memory_bytes: 3632