// fahadmd16(IIEST Shibpur)
#include<bits/stdc++.h>
using namespace std;

#define ll                                      long long
#define pb                                      push_back
#define pf                                      push_front
#define eb                                      emplace_back
#define mp                                      make_pair
#define ff                                      first
#define ss                                      second
#define db                                      double
#define pll                                     pair<ll, ll>
#define ALL(a)                                  (a).begin(),(a).end()
#define endl                                    "\n"

#define forn(i, n) for (ll i = 0; i < n; i++)
#define forn1(i, n) for (ll i = 1; i < n; i++)
#define ford(i, n) for (ll i = n - 1; i >= 0; i--)
#define ford1(i, n) for (ll i = n - 1; i >= 1; i--)
#define forab(i, a, b) for(ll i = a; i < b; i++)
#define forabd(i, a, b) for(ll i = a; i >= b; i--)
#define eps 1e-10

#define debug(...) fprintf(stderr, __VA_ARGS__), fflush(stderr)


#define IOS ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0)

#define trace1(x)                cout<<#x<<": "<<x<<endl
#define trace2(x, y)             cout<<#x<<": "<<x<<" | "<<#y<<": "<<y<<endl
#define trace3(x, y, z)          cout<<#x<<": "<<x<<" | "<<#y<<": "<<y<<" | "<<#z<<": "<<z<<endl
#define trace4(a, b, c, d)       cout<<#a<<": "<<a<<" | "<<#b<<": "<<b<<" | "<<#c<<": "<<c<<" | "<<#d<<": "<<d<<endl
#define trace5(a, b, c, d, e)    cout<<#a<<": "<<a<<" | "<<#b<<": "<<b<<" | "<<#c<<": "<<c<<" | "<<#d<<": "<<d<<" | "<<#e<< ": "<<e<<endl
#define trace6(a, b, c, d, e, f) cout<<#a<<": "<<a<<" | "<<#b<<": "<<b<<" | "<<#c<<": "<<c<<" | "<<#d<<": "<<d<<" | "<<#e<< ": "<<e<<" | "<<#f<<": "<<f<<endl
#define tracen( x , n ){ cout<<(#x)<<":";for(int i=0;i<n;i++)cout<<(#x)<<"["<<i<<"]:"<< x[i] << "    "; cout<<endl;}
#define tracenm( x , n , m ){ cout<<(#x)<<endl;for(int i=0;i<n;i++){ cout<<"Row #"<<i<<":"; for(int j=0;j<m;j++) cout<<x[i][j]<<"     "; cout << endl;}}
#define trace(v){ cout<<#v<<": ";for(auto it=v.begin();it!=v.end();it++)cout<<*it<<" ";cout<<endl;}
using namespace std;



const ll sz = 3e3 + 2;
const ll mod = 1e9 + 7;
const db PI = acos(-1);



typedef vector<ll> VL;
typedef vector<pll > VLL;
typedef vector<vector<ll> > VVL;



ll power(ll n, ll k, ll m) {
	ll ans = 1;
	while (k) {
		if (k & 1)ans = (ans * n) % m;
		k /= 2;
		n = (n * n) % m;
	}
	return ans;
}


void solver() {
	ll n, k; cin >> n >> k;
	VL a(n + 1, -1);
	forn1(i, n + 1)cin >> a[i];
	ll dp[n + 1][k + 1]; // dp[i][j] - no of ways to distribute exactly j candies between i children
	// Always think like this in counting problem (To calculate atmost K just a summation would be enough.)
	forn(i, n + 1) {
		forn(j, k + 1)dp[i][j] = 0;
	}
	ll ans = 0;
	dp[0][0] = 1;

	// O(N*K) == AC   :)

	forn1(i, n + 1) {
		forn(j, k + 1) {
			if (j == 0) {
				dp[i][j] = 1;
				continue;
			}
			// forn(x, a[i] + 1) {
			// 	dp[i][j] += dp[i - 1][j - x];
			// 	dp[i][j] %= mod;
			// }
			dp[i][j] = dp[i][j - 1] + dp[i - 1][j] - ((j - 1 >= a[i]) ? dp[i - 1][j - 1 - a[i]] : 0);
			dp[i][j] %= mod;
			dp[i][j] += mod;
			dp[i][j] %= mod;
		}
	}

	// tracenm(dp, n + 1, k + 1);

	cout << dp[n][k] << endl;





}


int main() {

	IOS;
	ll T = 1; //cin >> T;


	forn1(i, T + 1) {
		clock_t z = clock();
		solver();
		debug("Total Time: %.3f\n", (double)(clock() - z) / CLOCKS_PER_SEC);
	}
	return 0;
}


Measured memory_bytes: 79104