#include<bits/stdc++.h>
using namespace std;
using ll = long long;
using VI = vector<ll>;
using VV = vector<VI>;
using VS = vector<string>;
using PII = pair<ll, ll>;

// tourist set
template <typename A, typename B>
string to_string(pair<A, B> p);

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p);

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p);

string to_string(const string& s) {
  return '"' + s + '"';
}

string to_string(const char* s) {
  return to_string((string) s);
}

string to_string(bool b) {
  return (b ? "true" : "false");
}

string to_string(vector<bool> v) {
  bool first = true;
  string res = "{";
  for (int i = 0; i < static_cast<int>(v.size()); i++) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(v[i]);
  }
  res += "}";
  return res;
}

template <size_t N>
string to_string(bitset<N> v) {
  string res = "";
  for (size_t i = 0; i < N; i++) {
    res += static_cast<char>('0' + v[i]);
  }
  return res;
}

template <typename A>
string to_string(A v) {
  bool first = true;
  string res = "{";
  for (const auto &x : v) {
    if (!first) {
      res += ", ";
    }
    first = false;
    res += to_string(x);
  }
  res += "}";
  return res;
}

template <typename A, typename B>
string to_string(pair<A, B> p) {
  return "(" + to_string(p.first) + ", " + to_string(p.second) + ")";
}

template <typename A, typename B, typename C>
string to_string(tuple<A, B, C> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ")";
}

template <typename A, typename B, typename C, typename D>
string to_string(tuple<A, B, C, D> p) {
  return "(" + to_string(get<0>(p)) + ", " + to_string(get<1>(p)) + ", " + to_string(get<2>(p)) + ", " + to_string(get<3>(p)) + ")";
}

void debug_out() { cerr << '\n'; }

template <typename Head, typename... Tail>
void debug_out(Head H, Tail... T) {
  cerr << " " << to_string(H);
  debug_out(T...);
}

#ifdef LOCAL
#define debug(...) cerr << "[" << #__VA_ARGS__ << "]:", debug_out(__VA_ARGS__)
#else
#define debug(...) 42
#endif
// tourist set end

template<class T>bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T>bool chmin(T &a, const T &b) { if (b<a) { a=b; return 1; } return 0; }

#define FOR(i,a,b) for(ll i=(a);i<(b);++i)
#define rep(i,b) FOR(i, 0, b)
#define ALL(v) (v).begin(), (v).end()
#define p(s) cout<<(s)<<'\n'
#define p2(s, t) cout << (s) << " " << (t) << '\n'
#define br() p("")
#define pn(s) cout << (#s) << " " << (s) << '\n'
#define p_yes() p("YES")
#define p_no() p("NO")
#define SZ(x) ((int)(x).size())
#define SORT(A) sort(ALL(A))
#define RSORT(A) sort(ALL(A), greater<ll>())
#define MP make_pair

void no(){p_no(); exit(0);}
void yes(){p_yes(); exit(0);}

const ll mod = 1e9 + 7;
const ll inf = 1e18;
const double PI = acos(-1);

// ll dp[110][100010];

struct BIT {
  VI data;

  BIT(){}

  void resize(ll sz){
    data.assign(++sz, 0);
  }

  BIT(ll sz) {
    resize(sz);
  }

  ll sum(ll k) {
    ll ret = 0;
    for(++k; k > 0; k -= k & -k){
      ret += data.at(k);
      ret %= mod;
    }
    return (ret);
  }

  // [i, j]
  ll range_sum(ll i, ll j){
    if(i==0){
      return sum(j);
    }else{
      ll temp = sum(j) - sum(i-1);
      temp %= mod;
      if(temp<0) temp+=mod;
      return temp;    
    }
  }

  void add(ll k, ll x) {
    for(++k; k < data.size(); k += k & -k) data[k] += x;
  }
};

BIT dp[110];

int main(){
    cin.tie(0);
    ios::sync_with_stdio(false);

    // input
    ll N, K;
    cin >> N >> K;

    VI A(N);
    rep(i, N){
      cin >> A[i];
    }

    rep(i, 110){
      dp[i].resize(100010);
    }

    // 0人で0個を分け合う
    //dp[0][0] = 1;
    dp[0].add(0, 1);

    ll sum = 0;
    FOR(i, 1, N+1){
      // i人目(1-indexed)
      ll a = A[i-1];
      sum += a;
      
      // FOR(j, 0, sum+1){
      //   // i人目がk個食べる
      //   rep(k, a+1){
      //     if(j-k<0) continue;
      //     dp[i][j] += dp[i-1][j-k];
      //     dp[i][j] %= mod;
      //   }
      // }

      // 全体の飴の個数をkとする(dp[i][k])
      rep(k, K+1){
        // i人目は0からa個まで食べる
        ll left = max(0LL, k-a);
        ll v = dp[i-1].range_sum(left, k);
        v %= mod;
        dp[i].add(k, v);
      }
    }

    // ll ans = dp[N][K];
    ll ans = dp[N].range_sum(K, K);
    
    p(ans);
    
    return 0;
}

Measured memory_bytes: 86528