#include using namespace std; // macro #define rep(i, N) for(ll i = 0; i < (ll)(N); ++i) #define per(i, N) for(ll i = (ll)(N) - 1; i >= 0; --i) #define all(v) (v).begin(), (v).end() #define rall(v) (v).rbegin(), (v).rend() #define bit(n, k) (((n) >> (k)) & 1) #define pcnt(n) (bitset<64>(n).count()) #define endl '\n' #define fi first #define se second #define mkpr make_pair #define mktpl make_tuple #define eb emplace_back // input/output template istream& operator>>(istream& is, vector& V){ for(auto& it : V) is >> it; return is; } template ostream& operator<<(ostream& os, vector& V){ for(int i = 0; i < (int)V.size(); i++){ os << V[i]; os << (i + 1 != (int)V.size() ? " " : ""); } return os; } template istream& operator>>(istream& is, pair& P){ is >> P.first >> P.second; return is; } template ostream& operator<<(ostream& os, pair P){ os << P.first << " " << P.second << ""; return os; } // setup void set_fast_ios(size_t precision){ cin.tie(nullptr); ios_base::sync_with_stdio(false); cout << fixed << setprecision(precision); cerr << fixed << setprecision(precision); } // make_vector template vector make_vector(size_t a, T b) { return vector(a, b); } template auto make_vector(size_t a, Ts... ts) { return vector(a, make_vector(ts...)); } // debug #ifdef LOCAL #define debug(x) cerr << "line"<< __LINE__ << ": " << #x << " = " << x << '\n' #define debugln() cerr << "line" << __LINE__ << ": passed.\n" #else #define debug(x, ...) void(0) #define debugln() void(0) #endif // type using ll = long long; using ull = unsigned long long; using ld = double; using i128 = __int128_t; using State = string::iterator; using Pair = pair; using Tuple = tuple; template using max_heap = priority_queue; template using min_heap = priority_queue, greater>; template using vec = vector; template using vvec = vec>; template using vvvec = vec>; // constant constexpr ll INF = 1001001001; constexpr ll LINF = 1001001001001001001ll; constexpr ll MOD998 = 998244353; constexpr ll MOD107 = (ll)(1e9+7); constexpr ll NIL = -1; constexpr ll pm[2] = {1, -1}; constexpr ll dy[4] = {0, 1, 0, -1}; constexpr ll dx[4] = {1, 0, -1, 0}; constexpr ll dy8[8] = {0, 1, 1, 1, 0, -1, -1, -1}; constexpr ll dx8[8] = {1, 1, 0, -1, -1, -1, 0, 1}; // function ll Gcd(ll a, ll b){ return b ? Gcd(b, a % b) : abs(a);} ll Lcm(ll a, ll b){ return a / Gcd(a, b) * b;} template T powi(T x, ll exp){ return exp > 0 ? (exp & 1 ? x : 1) * powi(x * x, exp >> 1) : x / x; } ll modpow(ll x, ll exp, ll mod){ x %= mod; return exp > 0 ? (exp & 1 ? x : 1) * modpow(x * x, exp >> 1, mod) % mod : 1; } template bool chmin(T &a, T b){ return a > b ? (a = b, true) : 0;} template bool chmax(T &a, T b){ return a < b ? (a = b, true) : 0;} // modint template struct modint{ long long x; modint() : x(0) {} modint(long long _x){ x = _x % mod; if(x < 0) x += mod; } constexpr modint operator-() const { return modint(-x); } constexpr modint& operator+=(const modint& a){ if ((x += a.x) >= mod) x -= mod; return *this; } constexpr modint& operator-=(const modint& a){ if ((x += mod - a.x) >= mod) x -= mod; return *this; } constexpr modint& operator*=(const modint& a){ (x *= a.x) %= mod; return *this; } constexpr modint& operator/=(const modint& a){ return (*this) *= a.mpow(mod-2); } constexpr modint operator+(const modint& a) const { return modint(*this) += a; } constexpr modint operator-(const modint& a) const { return modint(*this) -= a; } constexpr modint operator*(const modint& a) const { return modint(*this) *= a; } constexpr modint operator/(const modint& a) const { return modint(*this) /= a; } constexpr bool operator==(const modint& a) const { return (*this).x == a.x; } constexpr bool operator!=(const modint& a) const { return (*this).x != a.x; } constexpr const modint mpow(long long exp) const { modint res(1), x = *this; for(; exp; exp >>= 1){ if(exp & 1) res *= x; x *= x; } return res; } friend istream& operator>>(istream& is, modint& m){ is >> m.x; m = modint(m.x); return is; } friend ostream& operator<<(ostream& os, const modint& m){ os << m.x; return os; } bool operator<(const modint& a) const { return (*this).x < a.x; } }; constexpr ll MOD = MOD998; using mint = modint; template struct Dijkstra{ using DS = pair; int N; T INFTY = 1001001001001001001ll; vector dist; vector prev; priority_queue, greater> Que; vector> G; Dijkstra(int N) : N(N), G(N), dist(N), prev(N) {} void add_edge(int from, int to, T cst){ G[from].emplace_back(DS{cst, to}); } void solve(int s){ for(int i = 0; i < N; i++) dist[i] = INFTY, prev[i] = -1; dist[s] = 0, prev[s] = -1; Que.push(DS{0, s}); while(!Que.empty()){ DS p = Que.top(); Que.pop(); int u = p.second; if(dist[u] != p.first) continue; for(auto v : G[u]){ if(dist[v.second] > dist[u] + v.first){ dist[v.second] = dist[u] + v.first; prev[v.second] = u; Que.push(DS{dist[v.second], v.second}); } } } } }; int main(){ set_fast_ios(15); int N, K; cin >> N >> K; vec A(N); cin >> A; map, ll> mp; auto rec = [&](auto f, int n, int c, ll g) -> ll { if(n == N) return g; if(mp.find(mktpl(n, c, g)) != mp.end()){ return mp[mktpl(n, c, g)]; } ll res = 1; for(int i = 0; i <= K; i++){ if(i + c > K) continue; chmax(res, f(f, n + 1, i + c, Gcd(g, A[n] + i))); if(A[n] - i > 0) chmax(res, f(f, n + 1, i + c, Gcd(g, A[n] - i))); } return mp[mktpl(n, c, g)] = res; }; ll ans = 1; for(int i = -K; i <= K; i++){ if(A[0] + i > 0) chmax(ans, rec(rec, 1, abs(i), A[0] + i)); } cout << ans << endl; }