#include<iostream>
#include<map>
#include<vector>
#include<cmath>
#include<string>
#include<cstring>
#include<algorithm> 
#include<climits>
#include<stack>
#include<queue>
#include<set>
#include<cctype>
#include<bitset> 
#include<type_traits>
#include<numeric>
#include<array>
using namespace std;

# define REP(i,n) for (int i=0;i<(n);++i)
# define rep(i,a,b) for(int i=a;i<(b);++i)
# define p(s) std::cout << s ;
# define pl(s)  std::cout << s << endl;
# define printIf(j,s1,s2) cout << (j ? s1 : s2) << endl;
# define YES(j) cout << (j ? "YES" : "NO") << endl;
# define Yes(j) std::cout << (j ? "Yes" : "No") << endl;
# define yes(j) std::cout << (j ? "yes" : "no") << endl;
# define all(v) v.begin(),v.end()
# define showVector(v) REP(i,v.size()){p(v[i]);p(" ")} pl("")
template<class T> inline bool chmin(T &a, T b){ if(a > b) { a = b; return true;} return false;}
template<class T> inline bool chmax(T &a, T b){ if(a < b) { a = b; return true;} return false;}
typedef long long int ll;
typedef pair<int,int> P_ii;
typedef pair<double,double> P_dd;

template<class T>
vector<T> make_vec(size_t a){
    return vector<T>(a);
}

template<class T, class... Ts>
auto make_vec(size_t a, Ts... ts){
  return vector<decltype(make_vec<T>(ts...))>(a, make_vec<T>(ts...));
}

template<typename T,typename V>
typename enable_if<is_class<T>::value==0>::type
fill_v(T &t,const V &v){t=v;}

template<typename T,typename V>
typename enable_if<is_class<T>::value!=0>::type
fill_v(T &t,const V &v){
  for(auto &e:t) fill_v(e,v);
}

template<class V> struct BIT {
    BIT() {}  // [L, R)
    int NV;vector<V> bit;
    
    BIT(int n){ init(n); }
    
    void init(int n) { NV = 1; while (NV < n)NV *= 2; bit.resize(NV); clear(); }
    
    V operator[](int e) { V s = 0; e++; while (e) s += bit[e - 1], e -= e&-e; return s; }
    
    void add(int e, V v) { e++; while (e <= NV) bit[e - 1] += v, e += e&-e; }
    
    int lower_bound(V val) { 
        V tv = 0; int i, ent = 0; for (i = NV - 1; i >= 0; i--)
        if(tv+bit[ent+(1<<i)-1]<=val)tv+=bit[ent+(1<<i)-1],ent += (1 << i);return ent;
    }

    V get(int L, int R) {
//        assert(0 <= L); assert(R <= NV); assert(L <= R);
        V res = 0; if(R) res += operator[](R - 1); if (L) res -= operator[](L - 1);return res;
    }
    void clear() { rep(i, 0, NV) bit[i] = 0; }
};

const int MOD = 1000000007;
const int inf=1e9+7;
const ll longinf=1LL<<60 ;

void addM(long long &a, long long b) {
    a += b;
    if (a >= MOD) a -= MOD;
}

void mulM(long long &a, long long b) {
    a = ((a%MOD)*(b%MOD))%MOD ;
}

// a^b mod M
long myPow(long a,long b,int M) {
    long ret = 1;
    long tmp = a;
    while(b>0) {
        if((b&1)==1) ret = (ret * tmp) % M;
        tmp = (tmp * tmp) % M;
        b = b>>1;
    }
    return ret;
}

 // nCk mod M
int nCk(int n,int k,int M) {
    long ret = 1;
    int mi = min(k, n-k);
    for(int i=1;i<=mi;i++) {
        ret = (ret * myPow(i,M-2,M)) % M;
    }
    for(int i=n-mi+1;i<=n;i++) {
        ret = (ret * i) % M;
    }
    return (int)ret;
}

int main(){

    int N,K;cin >> N >> K;

    BIT<ll> dp[101];

    vector<int> a(N);
    REP(i,N) cin >> a[i];

    rep(i, 0, N + 1) dp[i].init(K + 1);
    dp[0].add(K, 1);
 
    rep(i, 0, N) rep(k, 0, K + 1) {
        dp[i+1].add(k, dp[i].get(k, min(K, k+a[i])+1)%MOD);
    }
    
    cout << dp[N].get(0,1) << endl;

    return 0;
}

Measured memory_bytes: 104064