#pragma region Macros
#pragma GCC optimize("O3")
#pragma GCC target("avx2,avx")
#pragma GCC optimize("unroll-loops")
#include <bits/stdc++.h>
#define ll long long
#define ld long double
#define rep2(i, a, b) for (ll i = a; i <= b; ++i)
#define rep(i, n) for (ll i = 0; i < n; ++i)
#define rep3(i, a, b) for (ll i = a; i >= b; --i)
#define pii pair<int, int>
#define pll pair<ll, ll>
#define pb push_back
#define eb emplace_back
#define vi vector<int>
#define vll vector<ll>
#define vpi vector<pii>
#define vpll vector<pll>
#define overload2(_1, _2, name, ...) name
#define vec(type, name, ...) vector<type> name(__VA_ARGS__)
#define VEC(type, name, size) \
    vector<type> name(size);  \
    IN(name)
#define vv(type, name, h, ...) vector<vector<type>> name(h, vector<type>(__VA_ARGS__))
#define VV(type, name, h, w)                       \
    vector<vector<type>> name(h, vector<type>(w)); \
    IN(name)
#define vvv(type, name, h, w, ...) vector<vector<vector<type>>> name(h, vector<vector<type>>(w, vector<type>(__VA_ARGS__)))
#define vvvv(type, name, a, b, c, ...) \
    vector<vector<vector<vector<type>>>> name(a, vector<vector<vector<type>>>(b, vector<vector<type>>(c, vector<type>(__VA_ARGS__))))
#define fi first
#define se second
#define all(c) begin(c), end(c)
#define lb(c, x) distance((c).begin(), lower_bound(all(c), (x)))
#define ub(c, x) distance((c).begin(), upper_bound(all(c), (x)))
using namespace std;
string YES[2] = {"NO", "YES"};
string Yes[2] = {"No", "Yes"};
string yes[2] = {"no", "yes"};
template <class T>
using pq = priority_queue<T>;
template <class T>
using pqg = priority_queue<T, vector<T>, greater<T>>;
#define si(c) (int)(c).size()
#define INT(...)     \
    int __VA_ARGS__; \
    IN(__VA_ARGS__)
#define LL(...)     \
    ll __VA_ARGS__; \
    IN(__VA_ARGS__)
#define STR(...)        \
    string __VA_ARGS__; \
    IN(__VA_ARGS__)
#define CHR(...)      \
    char __VA_ARGS__; \
    IN(__VA_ARGS__)
#define DBL(...)        \
    double __VA_ARGS__; \
    IN(__VA_ARGS__)
int scan()
{
    return getchar();
}
void scan(int &a) { cin >> a; }
void scan(long long &a) { cin >> a; }
void scan(char &a) { cin >> a; }
void scan(double &a) { cin >> a; }
void scan(string &a) { cin >> a; }
template <class T, class S>
void scan(pair<T, S> &p) { scan(p.first), scan(p.second); }
template <class T>
void scan(vector<T> &);
template <class T>
void scan(vector<T> &a)
{
    for (auto &i : a)
        scan(i);
}
template <class T>
void scan(T &a) { cin >> a; }
void IN() {}
template <class Head, class... Tail>
void IN(Head &head, Tail &... tail)
{
    scan(head);
    IN(tail...);
}
template <class T, class S>
inline bool chmax(T &a, S b)
{
    if (a < b)
    {
        a = b;
        return 1;
    }
    return 0;
}
template <class T, class S>
inline bool chmin(T &a, S b)
{
    if (a > b)
    {
        a = b;
        return 1;
    }
    return 0;
}
vi iota(int n)
{
    vi a(n);
    iota(all(a), 0);
    return a;
}
template <typename T>
vi iota(vector<T> &a, bool greater = false)
{
    vi res(a.size());
    iota(all(res), 0);
    sort(all(res), [&](int i, int j) {
        if (greater)
            return a[i] > a[j];
        return a[i] < a[j];
    });
    return res;
}
#define UNIQUE(x) sort(all(x)), x.erase(unique(all(x)), x.end())
vector<pll> factor(ll x)
{
    vector<pll> ans;
    for (ll i = 2; i * i <= x; i++)
        if (x % i == 0)
        {
            ans.push_back({i, 1});
            while ((x /= i) % i == 0)
                ans.back().second++;
        }
    if (x != 1)
        ans.push_back({x, 1});
    return ans;
}
template <class T>
vector<T> divisor(T x)
{
    vector<T> ans;
    for (T i = 1; i * i <= x; i++)
        if (x % i == 0)
        {
            ans.pb(i);
            if (i * i != x)
                ans.pb(x / i);
        }
    return ans;
}
template <typename T>
void zip(vector<T> &x)
{
    vector<T> y = x;
    sort(all(y));
    for (int i = 0; i < x.size(); ++i)
    {
        x[i] = lb(y, x[i]);
    }
}
int popcount(ll x) { return __builtin_popcountll(x); }
struct Setup_io
{
    Setup_io()
    {
        ios_base::sync_with_stdio(0), cin.tie(0), cout.tie(0);
        cout << fixed << setprecision(15);
    }
} setup_io;
int in()
{
    int x;
    cin >> x;
    return x;
}
ll lin()
{
    unsigned long long x;
    cin >> x;
    return x;
}

template <typename T>
struct edge
{
    int from, to;
    T cost;
    int id;
    edge(int to, T cost) : from(-1), to(to), cost(cost) {}
    edge(int from, int to, T cost) : from(from), to(to), cost(cost) {}
    edge(int from, int to, T cost, int id) : from(from), to(to), cost(cost), id(id) {}
    edge &operator=(const int &x)
    {
        to = x;
        return *this;
    }
    operator int() const { return to; }
};
template <typename T>
using Edges = vector<edge<T>>;

using Tree = vector<vector<int>>;
using Graph = vector<vector<int>>;
template <class T>
using Wgraph = vector<vector<edge<T>>>;
Graph getG(int n, int m = -1, bool directed = false, int margin = 1)
{
    Tree res(n);
    if (m == -1)
        m = n - 1;
    while (m--)
    {
        int a, b;
        cin >> a >> b;
        a -= margin, b -= margin;
        res[a].emplace_back(b);
        if (!directed)
            res[b].emplace_back(a);
    }
    return move(res);
}
template <class T>
Wgraph<T> getWg(int n, int m = -1, bool directed = false, int margin = 1)
{
    Wgraph<T> res(n);
    if (m == -1)
        m = n - 1;
    while (m--)
    {
        int a, b;
        T c;
        cin >> a >> b >> c;
        a -= margin, b -= margin;
        res[a].emplace_back(b, c);
        if (!directed)
            res[b].emplace_back(a, c);
    }
    return move(res);
}

#define i128 __int128_t
#define ull unsigned long long int
#define TEST        \
    INT(testcases); \
    while (testcases--)
template <class T>
ostream &operator<<(ostream &os, const vector<T> &v)
{
    for (auto &e : v)
        cout << e << " ";
    cout << endl;
    return os;
}
template <class T, class S>
ostream &operator<<(ostream &os, const pair<T, S> &p)
{
    cout << "(" << p.fi << ", " << p.se << ")";
    return os;
}
template <class S, class T>
string to_string(pair<S, T> p) { return "(" + to_string(p.first) + "," + to_string(p.second) + ")"; }
template <class A>
string to_string(A v)
{
    if (v.empty())
        return "{}";
    string ret = "{";
    for (auto &x : v)
        ret += to_string(x) + ",";
    ret.back() = '}';
    return ret;
}

void dump() { cerr << endl; }
template <class Head, class... Tail>
void dump(Head head, Tail... tail)
{
    cerr << to_string(head) << " ";
    dump(tail...);
}
#define endl '\n'
#ifdef _LOCAL
#undef endl
#define debug(x)        \
    cout << #x << ": "; \
    dump(x)
#else
#define debug(x)
#endif
// mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());

// int rnd(int n) { return uniform_int_distribution<int>(0, n - 1)(rng); }
// ll rndll(ll n) { return uniform_int_distribution<ll>(0, n - 1)(rng); }

template <typename T>
static constexpr T inf = numeric_limits<T>::max() / 2;
#pragma endregion

template <typename T = long long>
long long extgcd(T a, T b, T &x, T &y)
{
    if (!b)
    {
        x = 1, y = 0;
        return a;
    }
    long long res = extgcd(b, a % b, y, x);
    y -= a / b * x;
    return res;
}

ll p(ll x, ll n)
{
    ll res = 1;
    rep(i, n) res *= x;
    return res;
}
int main()
{
    LL(n);
    if (n == 1)
    {
        cout << 1 << endl;
        return 0;
    }
    n = n * 2;
    auto f = factor(n);
    int k = si(f);
    ll mi = LLONG_MAX;
    vll v(k);
    rep(i, k) v[i] = p(f[i].fi, f[i].se);
    rep(i, 1 << k)
    {
        ll a = 1, b = 1;
        ll x, y;
        rep(j, k)
        {
            if (i & 1 << j)
                a *= v[j];
            else
                b *= v[j];
        }
        extgcd(a, b, x, y);
        if (a * x < b * y)
            swap(a, b), swap(x, y);
        if (a * x == 1)
            continue;
        chmin(mi, a * x - 1);
    }
    cout << mi << endl;
}

Measured memory_bytes: 3692