#include <bits/stdc++.h>
using namespace std;

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 << endl; }
 
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

#define fi first
#define se second
#define pb push_back
#define mod(n,k) ( ( ((n) % (k)) + (k) ) % (k))
#define forn(i,a,b) for(int i = a; i < b; i++)
#define forr(i,a,b) for(int i = a; i >= b; i--)
#define all(x) (x).begin(), (x).end()

typedef long long ll;
typedef long double ld;
typedef pair<int,int> ii;
typedef vector<int> vi;
typedef vector<ii> vii;

const ll mod = 1e9+7;
ll mul(ll a,ll b){return ((a%mod)*(b%mod))%mod;}
ll sum(ll a,ll b){return ((a%mod)+(b%mod))%mod;}
ll sub(ll a,ll b){return ((a%mod)-(b%mod))%mod;}
ll power(ll a,ll b){
	ll res = 1;
	while(b){
		if(b&1)res = mul(res,a);
		b >>= 1;
		a = mul(a,a);
	}
	return res;
}

ll gcdE(ll a,ll b,ll *x, ll *y){
	if(a == 0){
		*x = 0, *y = 1;
		return b;
	}
	ll x1,y1;
	ll gcd = gcdE(b%a,a,&x1,&y1);
	*x = y1-(b/a)*x1;
	*y = x1;
	return gcd;
}
ll modInverse(ll b,ll m){
	ll x,y;
	ll g = gcdE(b,m,&x,&y);
	if(g != 1) return -1;
	return (x%mod+mod)%mod;
}
ll modDivide(ll a,ll b){
	a = a%mod;
	ll inv = modInverse(b,mod);
	if(inv == -1) return -1;
	return (inv*a)%mod;
}
ll binomialCoeff(int n,int k){
	ll res = 1;
	if(k > n-k) k = n-k;
	for(int i = 0; i < k; i++){
		res = mul(res,n-i);
		res = modDivide(res,i+1);
	}
	return res;
}

int main(){
	ios_base::sync_with_stdio(0); cin.tie(0);
	int N,M; cin >> N >> M;
	vi A(N);
	int sum = 0;
	forn(i,0,N){
		cin >> A[i];
		sum += A[i];
	}
	if(sum > M){
		cout << 0 << '\n';
		return 0;
	}
	ll res = binomialCoeff(M+N,sum+N);
	if(res < 0)res += mod;
	cout << res << '\n';
	return 0;
}
/*
__builtin_mul_overflow(x,y,&x)
-fsplit-stack
*/

#include <bits/stdc++.h>
using namespace std;

// #include <atcoder/all>
// using namespace atcoder;
// using mint = modint1000000007;
// using mint2 = modint998244353;

typedef int64_t Int;
#define all(x) (x).begin(), (x).end()
 
const double EPS = 1e-10;
const Int INF = 5e18;
const int inf = 1e9;
const Int mod = 1e9+7;
//const Int mod = 998244353;

typedef struct {
    int64_t to, weight;
} edge;

Int dx[] = {0, 1, 0, -1, -1, 1, -1, 1};
Int dy[] = {1, 0, -1, 0, -1, -1, 1, 1};

template<class T> 
istream &operator>>(istream &is, vector<T> &v) { 
    for (auto &e : v) {
        is >> e; 
    }
    return is; 
}

bool print_space_enable = false;
void print() { 
    std::cout << '\n'; 
    print_space_enable = false;
}

template <class Head, class... Tail>
void print(Head&& head, Tail&&... tail) {
    if (print_space_enable) std::cout << " ";
    std::cout << fixed << setprecision(15) << head;
    print_space_enable = true;
    print(std::forward<Tail>(tail)...);
}

template<typename T>
void print(vector<T> v) {
    for (size_t i = 0; i < v.size(); i++) {
        if (i > 0) std::cout << " ";
        std::cout << v[i];
    }
    std::cout << '\n';
}

template<class T>
vector<T> make_vec(size_t n, T val) {
    return vector<T>(n, val);
}

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

bool is_overflow(Int a, Int b) {
    return a > INF / b;
}

void solve() {
    Int n, q;
    cin >> n >> q;
    vector<Int> a(n);
    cin >> a;
    vector<Int> k(q);
    cin >> k;
    a.push_back(INF);
    sort(all(a));
    for (Int i = 0; i < q; i++) {
        Int ok = 3e18;
        Int ng = -1;
        while (abs(ok - ng) > 1) {
            Int mid = (ok + ng) / 2;
            Int num = upper_bound(all(a), mid) - a.begin();
            if (mid - num >= k[i]) {
                ok = mid;
            } else {
                ng = mid;
            }
        }
        print(ok);
    }
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    solve();
    //Int _t; cin >> _t; while (_t--) solve();
    return 0;
}
