#pragma GCC optimize("Ofast")
#pragma GCC target ("avx")
#include<bits/stdc++.h>
using namespace::std;
//struct __INIT{__INIT(){cin.tie(0);ios::sync_with_stdio(false);cout<<fixed<<setprecision(15);}} __init;
__attribute__((constructor))
void init(){
	cin.tie(0);
	ios::sync_with_stdio(false);
	cout<<fixed<<setprecision(15);
}
// random_device rd;
// mt19937 mt(rd());
// #include <boost/numeric/interval.hpp>
// #include <boost/numeric/interval/io.hpp>
// #include <boost/intrusive/rbtree.hpp>
// #include <boost/dynamic_bitset.hpp>
// #include <boost/geometry.hpp>
// #include <boost/geometry/geometries/linestring.hpp>
// #include <boost/geometry/geometries/polygon.hpp>
// #include <boost/geometry/geometries/point_xy.hpp>
// #include <boost/math/tools/minima.hpp>
// using boost::math::tools::brent_find_minima;
// #include <boost/multiprecision/cpp_dec_float.hpp>
// #include <boost/multiprecision/cpp_int.hpp>
// namespace mp = boost::multiprecision;
// typedef mp::number<mp::cpp_dec_float<256>> cdouble;
// typedef mp::cpp_int cint;
// #include <boost/unordered_map.hpp>
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
#include <ext/pb_ds/priority_queue.hpp>
#include<ext/pb_ds/tag_and_trait.hpp>
template<typename T=long long>using pbds=__gnu_pbds::tree<T,__gnu_pbds::null_type,less<T>,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>;
template<typename T=long long>using pbds_map=__gnu_pbds::tree<T,T,less<T>,__gnu_pbds::rb_tree_tag,__gnu_pbds::tree_order_statistics_node_update>;
template<typename T=long long>using pqueue =__gnu_pbds::priority_queue<T, less<T>,__gnu_pbds::rc_binomial_heap_tag>;
typedef long long lint;
typedef long long ll;
typedef long double ldouble;
typedef vector<lint> vec;
typedef vector<vector<lint>> mat;
typedef vector<vector<vector<lint>>> mat3;
typedef vector<double> dvec;
typedef vector<vector<double>> dmat;
typedef vector<vector<vector<double>>> dmat3;
typedef vector<string> svec;
typedef vector<vector<string>> smat;
typedef vector<vector<vector<string>>> smat3;
typedef vector<pair<lint,lint>> pvec;
typedef vector<vector<pair<lint,lint>>> pmat;
typedef vector<vector<vector<pair<lint,lint>>>> pmat3;
#define rep(i, n) for(lint i = 0; i < (lint)(n); i++)
#define irep(i) for(lint i = 0;; i++)
#define irep1(i) for(lint i = 1;; i++)
#define irep2(i) for(lint i = 2;; i++)
#define rrep(i, n) for(lint i = (lint)(n-1); i >-1; i--)
#define rrepi(i,a,b) for(lint i = (lint)(b-1); i >a-1; i--)
#define repi(i,a,b) for(lint i=lint(a);i<lint(b);i++)
#define rep2(i,a,b,c) for(lint i=lint(a);i>lint(b);i+=c)
#define all(x) (x).begin(),(x).end()
#define PI 3.141592653589793
#define dist(x1,y1,x2,y2) (pow(pow(x2-x1,2)+pow(y2-y1,2),0.5))
//#define input(a,n) lint n;cin>>n;vector<lint>a(n);rep(i,n)cin>>a[i];
#define SUM(v) accumulate(all(v),0LL)
#define INF (1LL<<60)
#define IINF (1<<30)
#define EPS (1e-10)
#define LINF 9223372036854775807
//#define MOD 998244353LL
#define MOD 1000000007LL
#define endl "\n"
//struct in{template<class T>operator T(){T t;cin>>t;return t;}};
template<typename T>inline void numout(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i<INF/2?i:"INF";f=1;}cout<<endl;}
template<typename T>inline void numout2(T t){for(auto i:t)numout(i);}
template<typename T>inline void output(T t){bool f=0;for(auto i:t){cout<<(f?" ":"")<<i;f=1;}cout<<endl;}
template<typename T>inline void output2(T t){for(auto i:t)output(i);}
template<typename T>inline void _output(T t){bool f=0;for(int i=0;i<t.size();i++){cout<<f?"":" "<<t[i];f=1;}cout<<endl;}
template<typename T>inline void _output2(T t){for(int i=0;i<t.size();i++)output(t[i]);}
auto Y=[&](auto f){return[&](auto... args){return f(f, args...);};};
template<typename T=lint>T in(){return *istream_iterator<T>(cin);}
template<typename T=lint>inline T gcd(T a,T b){return b?gcd(b,a%b):a;}
template<typename T=lint>inline T lcm(T a,T b){return a/gcd(a,b)*b;}
template<typename T>inline T minq(T a,T b){return min(a,b);}
template<typename T>inline T maxq(T a,T b){return max(a,b);}
inline bool chmin(auto& s,const auto& t){bool res=s>t;s=min(s,t);return res;}
inline bool chmax(auto& s,const auto& t){bool res=s<t;s=max(s,t);return res;}
vector<lint> dx={-1,1,0,0,1,1,-1,-1};
vector<lint> dy={0,0,-1,1,1,-1,1,-1};

int main(){
    lint n,x;
    cin>>n>>x;
    vector<bool>ans(x+1,0);
    vec a(n);
    rep(i,n)cin>>a[i];
    lint mn=0;
    sort(all(a));
    rep(i,n){
        mn=mn*(1+a[i])+a[i];
        if(mn>x){
            repi(i,1,x+1)cout<<ans[i];
            cout<<endl;
            return 0;
        }
    }
    ans[mn]=1;
    pmat v(n,pvec(x+1,make_pair(INF,0)));
    vector<lint>dp(x+1,n);
    dp[mn]=0;
    repi(k,mn,x+1){
        rep(j,n){
            if(v[j][k%a[j]].first<=k){
                chmin(dp[k],v[j][k%a[j]].second);
            }
        }
        if(dp[k]==n)continue;
        rep(j,n){
            //if(i==j)continue;
            lint tmp=((mn-a[j])/(a[j]+1)+(k-mn));
            tmp=tmp*(a[j]+1)+a[j];
            chmin(v[j][tmp%a[j]],make_pair(tmp,dp[k]+1));
        }
    }
    repi(k,mn,x+1){
        if(dp[k]<n)ans[k]=1;
    }
    repi(i,1,x+1)cout<<ans[i];
    cout<<endl;
}

// int main(){
//     lint n,x;
//     cin>>n>>x;
//     vector<bool>ans(x+1,0);
//     vec a(n);
//     rep(i,n)cin>>a[i];
//     lint mn=0;
//     rep(i,n){
//         mn=mn*(1+a[i])+a[i];
//         if(mn>x){
//             repi(i,1,x+1)cout<<ans[i];
//             cout<<endl;
//             return 0;
//         }
//     }
//     vec tmp(n);
//     rep(i,n){
//         tmp[i]=(mn-a[i])/(1+a[i]);
//     }
//     ans[mn]=1;
//     rep(i,n){
//         vector<bool>dp(x+1,0);
//         dp[mn]=1;
//         repi(k,mn,x+1){
//             if(!dp[k])continue;
//             lint tmp=(mn-a[i])/(1+a[i])*k+k;
//             if(tmp<=x)dp[tmp]=1;
//         }
//         repi(k,mn,x+1){
//             if(dp[k])ans[k]=1;
//         }
//     }
//     repi(i,1,x+1)cout<<ans[i];
//     cout<<endl;
// }