#include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include using namespace std; typedef long long ll; typedef unsigned long long ull; typedef long double ld; typedef pair P; typedef tuple T; typedef vector vec; inline bool check(ll x, ll y, ll xMax, ll yMax) { return x >= 0 && y >= 0 && xMax > x && yMax > y; } inline int toint(string s) { int v; istringstream sin(s); sin >> v; return v; } template inline string tostring(T x) { ostringstream sout; sout << x; return sout.str(); } template inline T sqr(T x) { return x*x; } template inline T mypow(T x, ll n) { T res = 1; while (n > 0) { if (n & 1)res = res * x; x = x * x; n >>= 1; }return res; } inline ll gcd(ll a, ll b) { return b ? gcd(b, a%b) : a; } inline ll lcm(ll a, ll b) { return a / gcd(a, b) * b; } #define For(i,a,b) for(ll (i) = (a);i < (b);(i)++) #define rep(i,n) For(i,0,n) #define rFor(i,a,b) for(ll (i) = (a-1);i >= (b);(i)--) #define rrep(i,n) rFor(i,n,0) #define each(i,n) for(auto &i : n) #define clr(a) memset((a), 0 ,sizeof(a)) #define mclr(a) memset((a), -1 ,sizeof(a)) #define all(a) (a).begin(),(a).end() #define sz(a) (sizeof(a)) #define tostr(a) tostring(a) #define dump(val) cerr << #val " = " << val << endl; #define Fill(a,v) fill((int*)a,(int*)(a+(sz(a)/sz(*(a)))),v) const ll dx[8] = { 1, 0, -1, 0, 1, 1, -1, -1 }, dy[8] = { 0, -1, 0, 1, -1, 1, -1, 1 }; const ll mod = 1e9 + 7; const ll INF = 1e17 + 9; #define int ll #define double ld //nCmを n*(n-1)*(n-2)... / (1 * 2 * 3 ... ) の式で求める //除算を行うために逆元を求める ll extgcd(ll a, ll b, ll &x, ll &y) { ll d = a; if (b != 0) { d = extgcd(b, a % b, y, x); y -= (a / b) * x; } else { x = 1; y = 0; } return d; } ll mod_inverse(ll a, ll m) { ll x, y; extgcd(a, m, x, y); return (m + x % m) % m; } const int M = 2000001; ll fact[M]; ll mod_fact(ll n, ll p, ll &e) { e = 0; if (n == 0)return 1; ll res = mod_fact(n / p, p, e); e += n / p; if (n / p % 2 != 0)return res * (p - fact[n % p]) % p; return res * fact[n % p] % p; } ll mod_comb(ll n, ll k, ll p) { if (n < 0 || k < 0 || n < k)return 0; ll e1, e2, e3; ll a1 = mod_fact(n, p, e1), a2 = mod_fact(k, p, e2), a3 = mod_fact(n - k, p, e3); if (e1 > e2 + e3) return 0; return a1 * mod_inverse(a2 * a3 % p, p) % p; } signed main() { fact[0] = 0; fact[1] = 1; for (int i = 2; i < M; i++) { fact[i] = (fact[i - 1] * i) % mod; } cin.tie(0); ios_base::sync_with_stdio(false); int m; cin >> m; string s; getline(cin, s); getline(cin, s); stringstream ss(s); int sum = -1, cnt = 1; int t; while (ss >> t) { if (t == 0) { cout << 1 << endl; return 0; } sum += t + 1; cnt++; } int res = m - sum; if (res < 0) { cout << "NA" << endl; return 0; } cout << mod_comb(cnt + res - 1, res, mod) << endl; return 0; }