#include <deque>
#include <queue>
#include <vector>
#include <algorithm>
#include <iostream>
#include <set>
#include <cmath>
#include <tuple>
#include <string>
#include <functional>
#include <iterator>
#include <random>
#include <unordered_map>
#include <unordered_set>
#include <map>
#include <bitset>
#include <stack>
#include <iomanip>

using namespace std;
typedef int64_t i64;
typedef double db;
typedef vector<vector<int64_t>> mat;
typedef pair<int,int> pii;
typedef pair<int64_t,int> pli;
typedef pair<db,int> pdi;

#define esc(x) cout << (x) << endl,exit(0)
#define inf(T) (numeric_limits<T>::max() / 2 - 1)
#define each(i,v) for(auto i = begin(v),end_copy = end(v); i != end_copy; ++i)
#define reach(i,v) for(auto i = rbegin(v),rend_copy = rend(v); i != rend_copy; ++i)
#define urep(i,s,t) for(int64_t i = (s),t_copy = (t); i <= t_copy; ++i)
#define drep(i,s,t) for(int64_t i = (s),t_copy = (t); i >= t_copy; --i)
#define rep(i,n) urep(i,0,(n) - 1)
#define rep1(i,n) urep(i,1,(n))
#define rrep(i,n) drep(i,(n) - 1,0)
#define all(v) begin(v),end(v)
#define rall(v) rbegin(v),rend(v)
#define vct vector
#define prque priority_queue
#define u_map unordered_map
#define u_set unordered_set
#define l_bnd lower_bound
#define u_bnd upper_bound
#define rsz resize
#define ers erase
#define emp emplace
#define emf emplace_front
#define emb emplace_back
#define pof pop_front
#define pob pop_back
#define mkp make_pair
#define mkt make_tuple
#define fir first
#define sec second

template <class T, class U> ostream& operator << (ostream& s, pair<T,U> p) { return s << p.fir << " " << p.sec; }
template <class T> ostream& operator << (ostream& s, vector<T>& v) { for(auto i = v.begin(); i != v.end(); i++) { if(i != begin(v)) s << " "; s << *i; } return s; }

template <class T> void hash_combine(size_t &seed, T const &key) {
    hash<T> hasher;
    seed ^= hasher(key) + 0x9e3779b9 + (seed << 6) + (seed >> 2);
}
namespace std {
    template <class T, class U> struct hash<pair<T,U>> {
        size_t operator()(pair<T,U> const &p) const {
            size_t seed(0);
            hash_combine(seed,p.first);
            hash_combine(seed,p.second);
            return seed;
        }
    };
    template <class T, class U, class V> struct hash<tuple<T,U,V>> {
        size_t operator()(tuple<T,U,V> const &t) const {
            size_t seed(0);
            hash_combine(seed,get<0>(t));
            hash_combine(seed,get<1>(t));
            hash_combine(seed,get<2>(t));
            return seed;
        }
    };
}

const auto add = [](auto &x, auto y) { x += y; };
const auto lam_min = [](auto x, auto y) { return min(x,y); };
const auto lam_max = [](auto x, auto y) { return max(x,y); };
bool odd(i64 x) { return x & 1; }
bool even(i64 x) { return !odd(x); }
bool parity(i64 x, i64 y) { return odd(x) ^ even(y); }
bool bit(i64 n, uint8_t e) { return n >> e & 1; }
int ilog(i64 x, uint64_t b) { if(x) return ilog(x / b,b) + 1; return -1; }
i64 qceil(i64 x, i64 y) { return x > 0 ? (x - 1) / y + 1 :  x / y; }
i64 gcd(i64 a, i64 b) { if(!b) return abs(a); if(a % b) return gcd(b, a % b); return abs(b); }
i64 lcm(i64 a, i64 b) { if(a & b) return abs(a / gcd(a, b) * b); return 0; }
i64 bins(i64 ok, i64 ng, auto judge) {
    while(abs(ok - ng) > 1) {
        i64 mid = ok + ng >> 1;
        (judge(mid) ? ok : ng) = mid;
    }
    return ok;
}
template <class T, class U> bool chmax(T& m, U x) { if(m < x) { m = x; return 1; } return 0; }
template <class T, class U> bool chmin(T& m, U x) { if(m > x) { m = x; return 1; } return 0; }
template <class T> T cmprs(T& v) {
    T tmp = v,ret = v;
    sort(all(tmp));
    tmp.erase(unique(all(tmp)),end(tmp));
    each(i,ret) *i = l_bnd(all(tmp),*i) - begin(tmp) + 1;
    return ret;
}

const int dir[8][2] = { {1,0},{0,1},{-1,0},{0,-1},{1,1},{-1,1},{-1,-1},{1,-1} };
const i64 mod = 1e9 + 7;
const db eps = 1e-15;

typedef long long ll;

ll modpow(ll n, ll e) {
        if(e <= 0) return 1;
        if(!(n %= mod)) return 0;
        return modpow(n * n % mod,e / 2) * (e & 1 ? n : 1) % mod;
}

int n;

int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    cout << fixed << setprecision(10);
    
    
    i64 ans=0;
    int k;
    cin>>n>>k;
    i64 s[1001];
    vct<i64> ls;
    s[0]=0;
    rep1(i,n){
        int a;
        cin>>a;
        s[i]=s[i-1]+a;
    }
    rep(i,n)urep(j,i+1,n){
        ls.emb(s[j]-s[i]);
    }
    i64 crit=1LL<<39;
    n=n*(n-1)/2;
    rep(w,40){
        vct<i64> tmp;
        for(i64 i:ls){
            if(i&crit) tmp.push_back(i);
        }
        if(tmp.size()>=k) ls=tmp,ans+=crit;
        crit>>=1;
    }
    esc(ans);
}


Measured memory_bytes: 6384