Shared code

#include <bits/stdc++.h>
using namespace std;
#include<ext/pb_ds/assoc_container.hpp>
#include<ext/pb_ds/tree_policy.hpp>
using namespace __gnu_pbds;
#define LagaKar ios_base::sync_with_stdio(false);cin.tie(NULL);cout.tie(NULL)
#define pb push_back
#define pf push_front
#define pob pop_back
#define pof pop_front
#define mp make_pair
#define fi first
#define se second
#define lb lower_bound
#define ub upper_bound
#define ook order_of_key   //number of elements less than k
#define fbo find_by_order  //k th element
#define nline "\n"
#define YES cout<<"YES"<<nline
#define NO cout<<"NO"<<nline
#define Yes cout<<"Yes"<<nline
#define No cout<<"No"<<nline
//%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
#define precise(ans)  cout<<fixed<<setprecision(15)<<ans
#define fo(i,n) for(ll i=0;i<n;i++)
#define Fo(i,k,n) for(ll i=k;k<n?i<n:i>n;k<n?i+=1:i-=1)
#define TR(it, a) for(auto it = a.begin(); it != a.end(); it++)
#define SZ(x) ((ll)(x).size())
#define all(x) x.begin(), x.end()
#define MAX(x) *max_element(all(x))
#define MIN(x) *min_element(all(x))
#define SUM(x) accumulate(all(x), 0LL)
#define CNT(x) __builtin_popcountll(x)
//##################################################################################################################
typedef long long ll; typedef unsigned long long ull; typedef long double lld;
template <typename T> using o_set = tree<T, null_type, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T, typename R> using o_map = tree<T, R, less<T>, rb_tree_tag, tree_order_statistics_node_update>;
typedef pair<ll, ll>  pl;   typedef vector<ll>  vl;typedef vector<vl>  vvl; 
typedef vector<pl>  vpl;    template <typename T> using prq_mx  = priority_queue<T>; 
template <typename T> using prq_mn = priority_queue<T, vector<T>, greater<T>>;
//********************************************************************************************************************
#ifdef hydracody
    #include <C:\Users\Anurag Dwivedi\Desktop\cpc\debug.h>
#else
#define debug(x)
#endif
//------------------------------------------------------------------------------------------------------------
const double eps=1e-9;const ll INF=(ll)1e9;const ll inf64=2e18;const ll INF64=9e18;
#define PI 3.1415926535897932384626
#define MOD 1000000007
#define MOD1 998244353
#define MOD2 1000000009
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
mt19937 rng(chrono::steady_clock::now().time_since_epoch().count());
ll gcd(ll a, ll b) {if (b > a) {return gcd(b, a);} if (b == 0) {return a;} return gcd(b, a % b);}
ll power(ll x,ll y, ll p){if(y==0)return 1;ll res = 1;x = x % p;if (x == 0) return 0;while (y > 0){if (y & 1)res = (res*x) % p;y = y>>1;x = (x*x) % p;}return res;}
ll pinv(ll a, ll m){ return power(a, m - 2, m); }
ll int_sqrt (ll x) {ll ans = 0; for (ll k = 1LL << 30; k != 0; k /= 2) {if ((ans + k) * (ans + k) <= x) {ans += k;}} return ans;}
ll logceil(ll x){ll s=0;while(x>0){s++;x=x/2;}return s;}
ll mod_add(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a + b) % m) + m) % m;}
ll mod_mul(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a * b) % m) + m) % m;}
ll mod_sub(ll a, ll b, ll m) {a = a % m; b = b % m; return (((a - b) % m) + m) % m;}
ll mod_div(ll a, ll b, ll m) {a = a % m; b = b % m; return (mod_mul(a, pinv(b, m), m) + m) % m;}  //only for prime m
ll phin(ll n) {ll number = n; if (n % 2 == 0) {number /= 2; while (n % 2 == 0) n /= 2;} for (ll i = 3; i <= sqrt(n); i += 2) {if (n % i == 0) {while (n % i == 0)n /= i; number = (number / i * (i - 1));}} if (n > 1)number = (number / n * (n - 1)) ; return number;} //O(sqrt(N))
ll getRandomNumber(ll l, ll r) {return uniform_int_distribution<ll>(l, r)(rng);} 
void starter(ll t) {cout << "Case #" << t << ": ";}
void compress(vector<ll>& vs){sort(vs.begin(),vs.end());vs.resize(unique(vs.begin(), vs.end()) - vs.begin());}
/////////////////////////////////////////////////////////////////////////////////////////////////
/*Don't loss hope, one day you will make it. Till then work hard.*/
 
 

ll dp[2][105][5505];

ll rec(ll t,ll l,ll x,vl& aa){
  if(x<0)return 0;
  if(l>=SZ(aa)){
    return t==0;
  }
  if(dp[t][l][x]!=-1)return dp[t][l][x];
  ll ans=0;
  if(t==0){
    ans=mod_add(ans,rec(0,l+1,x,aa),MOD );
    ans=mod_add(ans, rec(1,l+1,x+aa[l],aa),MOD );
  }else{
    ans=mod_add(ans,rec(1,l+1,x,aa),MOD );
    ans=mod_add(ans,rec(0,l+1,x-aa[l],aa),MOD );
  }
  // cout<<t<<" "<<l<<" "<<x<<" "<<ans<<nline;
  return dp[t][l][x]=ans;
}


void  chal(){ 
  ll n,x;
  cin>>n>>x;
  vl aa(n);
  fo(i,n){
    cin>>aa[i];
  }
  sort(all(aa));
  memset(dp,-1,sizeof(dp));
  cout<<rec(0,0,x,aa)<<nline;
  










 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
}
 
 
 
 
//~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
int32_t main() {
  LagaKar;
#ifdef hydracody
  freopen("input.txt", "r", stdin); freopen("output.txt", "w", stdout); freopen("error.txt", "w", stderr);
#endif
  ll  t; t = 1;
  // cin>>t;
  for (ll i = 1; i <= t; i++) {
    // cerr<<"Case : "<<i<<endl;
    // starter(i);
    chal();
  } 
  return 0;
}