/*
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*/
#include "bits/stdc++.h"
using namespace std;
#define ok1 printf("ok1\n");
#define ok2 printf("ok2\n");
#define M 1000000000000000000LL
#define rep(i,n) for(int i=0;i<n;++i)
#define REP(i,s,n) for(int i=(s);i<(n);++i)
#define repr(i,n) for(int i=n-1;i>=0;--i)
#define REPR(i,s,n) for(int i=(s);i>=(n);--(i))
#define all(a) (a).begin(),(a).end()
#define reall(a) (a).rbegin(),(a).rend()
#define pb emplace_back //emplace_backの方が速いが使い慣れてないため
#define pf push_front
#define MIN(a,b) a=min((a),(b))
#define MAX(a,b) a=max((a),(b))
#define SIZE(v) (int)v.size()
#define DOUBLE fixed << setprecision(15)
#define fi first
#define se second
#define mp make_pair
#define BIT(n,m)(((n)>>(m))&1)
const double pi = acos(-1.0);
typedef vector<int> vi;
typedef vector<string> vs;
typedef long long ll;
typedef vector<ll> vll;
typedef vector<vi> vvi;
typedef vector<vll> vvll;
typedef vector<char> vc;
typedef vector<double> vd;
typedef vector<bool> vb;
typedef deque<ll> dll;
typedef pair<ll, ll> P;
typedef vector<P> vP;
const ll mod = 1e9 + 7;
//const ll mod = 998244353;
ll dy[4] = { 1,0,-1,0 };
ll dx[4] = { 0,1,0,-1 };
template<class T> inline bool chmax(T& a, T b) { if (a < b) { a = b; return true; } return false; }
template<class T> inline bool chmin(T& a, T b) { if (a > b) { a = b; return true; } return false; }
template< typename T >
struct edge {
	int src, to;
	T cost;

	edge(int to, T cost) : src(-1), to(to), cost(cost) {}

	edge(int src, int to, T cost) : src(src), to(to), cost(cost) {}

	edge &operator=(const int &x) {
		to = x;
		return *this;
	}

	operator int() const { return to; }
};

template< typename T >
using Edges = vector< edge< T > >;
template< typename T >
using WeightedGraph = vector< Edges< T > >;
using UnWeightedGraph = vector< vector< int > >;
template< typename T >
using Matrix = vector< vector< T > >;
bool out_check(ll a, ll b) {
	if (0 <= a && a < b) return true;
	else return false;
}
void addmod(ll &a, ll &b) {
	a = (a + b) % mod;
}
void Pvll(vll v) {
	puts("vll------------------------------------------------");
	rep(i, v.size()) cout << v[i] << " ";
	puts("");
	puts("------------------------------------------------");
}
void Pvvll(vvll v) {
	puts("vvll------------------------------------------------");
	rep(i, v.size()) {
		rep(j, v[i].size()) {
			cout << v[i][j] << " ";
		}
		cout << endl;
	}
	puts("------------------------------------------------");
}

void Pvs(vs s) {
	puts("vs------------------------------------------------");
	rep(i, s.size()) {
		rep(j, s[i].size()) {
			cout << s[i][j] << " ";
		}
		cout << endl;
	}
	puts("------------------------------------------------");
}

void Yes(bool x) {
	if (x) cout << "Yes\n";
	else cout << "No\n";
}

void YES(bool x) {
	if (x) cout << "YES\n";
	else cout << "NO\n";
}

void yes(bool x) {
	if (x) cout << "yes\n";
	else cout << "no\n";
}

void Yay(bool x) {
	if (x) cout << "Yay!\n";
	else cout << ":(\n";
}

ll  n, m, d, r, l, k, h, ans, ret = M;
bool flag = false, flag2 = false, flag3 = false;
string s, t, u;

void INIT() {
	cin.tie(0);
	ios::sync_with_stdio(false);
}
vll v,sum;
ll cnt(ll a) {
	ret = 0;
	for (auto p : sum) if ((p&a) == a)ret++;
	return ret;
}

int main() {
	INIT();//not intaractive
	cin >> n >> k;
	v.resize(n);
	rep(i, n) cin >> v[i];
	rep(i, n) {
		ll c = 0;
		REP(j, i, n) {
			c += v[j];
			sum.pb(c);
		}
	}
	repr(i, 41) {
		if (cnt(ans | (1LL << i)) >= k) ans |= (1LL << i);
	}
	cout << ans << endl;
	return 0;
}

Measured memory_bytes: 6384