#include <iostream>
#include <math.h>
#include <vector>
#include <stack>
#include <cstdio>
#include <string>
#include <bitset>
#include <list>
#include <set>
#include <algorithm>
#include <numeric>
#include <unordered_map>
#include <functional>
#include <queue>
#include <regex>
#include <cassert>
#include <map>
#include <type_traits>
#include <array>
#include <cassert>
#include <typeinfo>
// #include "bits/stdc++.h"

using namespace std;



namespace {
#define rep(i, N, M) for(ll i=N, i##_len=(M); i<i##_len; ++i)
#define rep_skip(i, N, M, ...) for(ll i=N, i##_len=(M); i<i##_len; i+=(skip))
#define rrep(i, N, M)  for(ll i=(M)-1, i##_len=(N-1); i>i##_len; --i)
#define pb push_back

	typedef pair<double, double> pd;

	typedef long long ll;
	typedef unsigned long long ull;
	typedef pair<ll, ll> pll;
	typedef tuple<ll, ll, ll> tll;
	typedef tuple<ll, ll, ll, ll> tll4;
	typedef tuple<ll, ll, ll, ll, ll> tll5;
	typedef tuple<ll, ll, ll, ll, ll, ll> tll6;

	typedef vector<ll> vll;
	typedef vector<vll> vvll;
	typedef vector<pll> vpll;
	typedef vector<bool> vb;
	typedef vector<vb> vvb;
	typedef vector<string> vs;
	template<typename T>
	using pq_greater = priority_queue<T, vector<T>, greater<T>>;

#define all(a)  (a).begin(),(a).end()
#define rall(a) (a).rbegin(), (a).rend()
#define vec(a) vector<a>
#define perm(c) sort(all(c));for(bool c##perm=1;c##perm;c##perm=next_permutation(all(c)))


	template<class T, class S>
	T atbit(T n, S i) {
		return (n >> i) % 2;
	}

	template<class T>
	T getbit(T i) {
		return 1LL << i;
	}

	constexpr ll POW(ll n, ll m) {
		ll res = 1;
		rep(i, 0, m) {
			res *= n;
		}
		return res;
	}

	vll getDivisors(ll n) {
		vll res;
		ll i = 1;

		for (; i*i < n; i++) {
			if (n%i == 0) {
				res.push_back(i);
				res.push_back(n / i);
			}
		}
		if (i*i == n)res.push_back(i);
		sort(res.begin(), res.end());
		return res;
	}

	vll getDivisors(ll n, ll m) {
		if (n > m) swap(n, m);
		vll res;
		ll i = 1;

		for (; i*i < n; i++) {
			if (n%i == 0) {
				if (m%i == 0) res.push_back(i);
				if (m % (n / i) == 0) res.push_back(n / i);
			}
		}
		if (i*i == n) if (m%i == 0) res.push_back(i);
		sort(res.begin(), res.end());
		return res;
	}


	ll gcd(ll a, ll b) {
		if (a%b == 0) return b;
		else return gcd(b, a%b);
	}

	template<
		typename Inputs,
		typename Functor,
		typename T = typename Inputs::value_type>
		void sort_by(Inputs& inputs, Functor f) {
		std::sort(std::begin(inputs), std::end(inputs),
			[&f](const T& lhs, const T& rhs) { return f(lhs) < f(rhs); });
	}

	template<int I>
	vll proj(vpll v) {
		vll res(v.size());
		rep(i, 0, v.size()) {
			if (!I) res[i] = v[i].first;
			else res[i] = v[i].second;
		}
		return res;
	}


	template<int I, class T>
	vll proj(T v) {
		vll res(v.size());
		rep(i, 0, v.size()) {
			res[i] = get<I>(v[i]);
		}
		return res;
	}
	vector<pll >prime_factorize(ll n) {
		vector<pll> res;
		for (ll p = 2; p*p <= n; ++p) {
			if (n%p != 0)continue;
			ll num = 0;
			while (n%p == 0) { ++num; n /= p; }
			res.push_back({ p,num });
		}
		if (n != 1) res.push_back(make_pair(n, 1));
		return res;
	}

}

ll MOD = 1000000007;
ll INF = 1LL << 60;
ll n;

template <class T> using reversed_priority_queue = priority_queue<T, vector<T>, greater<T> >;

template <typename Monoid>
struct segment_tree 
{

	using underlying_type = typename  Monoid::underlying_type;

	segment_tree(ll a_n) : size_original(a_n)
	{
		vector<underlying_type> initial_value = vector<underlying_type>(a_n, Monoid::unit());
		segment_tree_impl(a_n, initial_value);
	}

	segment_tree(ll a_n, vector<underlying_type>& initial_value) : size_original(a_n)
	{
		segment_tree_impl(a_n, initial_value);
	}

	void update(int i, underlying_type z) { // 0-based
		assert(0 <= i && i < 2 * n - 1);
		a[i + n - 1] = z;
		for (i = (i + n) / 2; i > 0; i /= 2) { // 1-based
			a[i - 1] = Monoid::append(a[2 * i - 1], a[2 * i]);
		}
	}

	underlying_type query(ll l, ll r) { // 0-based, [l, r)
		underlying_type lacc = Monoid::unit(), racc = Monoid::unit();
		assert(l <= r && r <= n);
		l += n; r += n;
		for (; l < r; l /= 2, r /= 2) { // 1-based loop, 2x faster than recursion
			if (l % 2 == 1) lacc = Monoid::append(lacc, a[(l++) - 1]);
			if (r % 2 == 1) racc = Monoid::append(a[(--r) - 1], racc);
		}
		return Monoid::append(lacc, racc);
	}

	ll size() { return size_original; }

private:
	ll size_original;
	ll n;
	vector<underlying_type> a;
	void segment_tree_impl(ll a_n, vector<underlying_type>& initial_value)
	{
		assert(a_n == initial_value.size());
		n = 1; while (n < a_n) n *= 2;
		a.resize(2 * n - 1, Monoid::unit());
		rep(i, 0, initial_value.size()) {
			a[i + (n - 1)] = initial_value[i];
		}
		rrep(i, 0, n - 1) a[i] = Monoid::append(a[2 * i + 1], a[2 * i + 2]); // propagate initial values
	}
};


template <typename T>
struct min_indexed_t {
	typedef pair<T, ll> underlying_type;
	static underlying_type make_indexed(vector<T> v)
	{
		underlying_type w(v.size());
		rep(i, 0, v.size()) {
			w[i] = { v[i],i };
		}
		return w;
	}
	static underlying_type unit() { return make_pair(numeric_limits<T>::max(), -1); }
	static underlying_type append(underlying_type a, underlying_type b) { return min(a, b); }
};
template <typename T>
struct min_t {
	typedef T underlying_type;
	static underlying_type unit() { return numeric_limits<T>::max(); }
	static underlying_type append(underlying_type a, underlying_type b) { return min(a, b); }
};
struct linear_t {
	typedef pd underlying_type;
	static underlying_type unit() { return underlying_type{ 1.,0. }; }
	static underlying_type append(underlying_type a, underlying_type b) {
		return underlying_type{ a.first*b.first, b.first*a.second + b.second };
	}
};


int check(int i, vll& b, vvb& data,int& state, bool& first) {
	int num = 0;
	rep(k, 0, b.size()) {
		if (atbit(b[k], i) > 0 && ( state ==60|| data[state][k])) {
			data[i][k] = true;
			num++;
			first = false;
		}
		else {
			data[i][k] = false;
		}
	}
	return num;

}

int main() {
	ll n, k;
	cin >> n >> k;
	vll a(n);
	rep(i, 0, n) cin >> a[i];

	vll s_a(n+1);
	s_a[0] = 0;
	rep(i, 0, n)  s_a[i + 1] = a[i] + s_a[i];
	vll b;
	rep(i, 0, n) {
		rep(j, 0, n-i) {
			b.push_back(s_a[i +j + 1] - s_a[i]);
		}
	}
	vll c(60);
	vector<vector<bool>> data(60,vector<bool>(1000000,false));
	int state =60;
	ll res=0;
	bool first = true;
	rrep(i, 0,60) {
		c[i] = check(i, b, data ,state, first);
		if (c[i] >= k) {
			state = i;
			res+=getbit(i);
		}
	}
	cout << res;


	return 0;

}



Measured memory_bytes: 11632