#ifdef __GNUC__ #pragma GCC optimize ("O3") #pragma GCC target ("avx") #endif #define _USE_MATH_DEFINES #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include #include //assert(); #include ///////// #define REP(i, x, n) for(int i = x; i < n; i++) #define rep(i,n) REP(i,0,n) ///////// typedef long long LL; typedef long double LD; typedef unsigned long long ULL; #define PII pair ///////// using namespace::std; // 最大公約数 template inline T gcd(T a, T b){return b == 0 ? a : gcd(b, a % b);} // 最小公倍数 template inline T lcm(T a, T b){return a * b / gcd(a, b);} //////////////////////////////// const ULL mod = 1000000007; /*ULL NCK[1000001][1000001]; ULL nCk(ULL N,ULL k){ k = min(k,N-k); if( k== 0 ){return 1;} if( k==1 ){return N%mod;} if( NCK[N][k] ){return NCK[N][k];} NCK[N][k] = (nCk(N-1,k-1) + nCk(N-1,k))%mod; return NCK[N][k]; }*/ ULL invMod(ULL k,ULL p){//k**(mod-2) //k^p vector kPow2; ULL A = k; kPow2.push_back(k%mod);//k**1 for(ULL i=2;i<=p;i*=2){ A = (A*A)%mod; kPow2.push_back(A); } ULL ret=1; ULL temp = p; ULL turn=0;// while(temp){ if( temp & 1 ){ ret = (ret*kPow2[turn])%mod; } temp >>= 1; ++turn; } return ret; } ULL nCk(ULL N,ULL k){ k = min(k,N-k); if( k == 0 ){return 1;} if( k == 1 ){return N%mod;} ULL ret = 1; for(int i=1;i<=k;++i){ ret *= ((N+1-i)*invMod(i,mod-2))%mod;//OVF ret %= mod; } return ret; } inline void solve(){ int N; cin >> N; int temp= 0; int sum = 0; int kind = 0; while(1){ cin >> temp; if( cin.eof() ){break;} sum += temp; ++kind; } if( sum == 0 ){ cout << 1 << endl; return; } if( sum + kind-1 > N ){ cout << "NA" << endl; return; } int aki = N - (sum+kind-1); /* aki 移動可能な空きます kind+1 入れる事の出来る場所 ---- aki個のブロックをkind+1個に分割 AAAAA 仕切りの数はkind個 akiの数+1の中からkind個選ぶ (aki+1)Hkind (aki+1+kind-1)Ckind */ cout << nCk(aki+kind,kind) << endl; } int main(void){ std::cin.tie(0); std::ios::sync_with_stdio(false); std::cout << std::fixed;//小数を10進数表示 //cout << setprecision(16);//小数をいっぱい表示する。16? solve(); return 0; }