#include #include unsigned long long const modnum=1000000007; unsigned long long invdiv(unsigned long long p); int main(void){ unsigned long long M,S=0,n=0,ans=1; unsigned long long alls,rest,temp; unsigned long long i,j,k; char c; scanf("%llu%*c",&M); do{ scanf("%llu%c",&temp,&c); S+=temp; n++; }while(c==' '); if(S+n-1>M) puts("NA"); else if(S==0) puts("1"); else{ alls=M-S+1; rest=alls-n; for(i=1;i<=alls;i++){ ans*=i; ans%=modnum; } for(i=1;i<=rest;i++){ ans*=invdiv(i); ans%=modnum; } for(i=1;i<=n;i++){ ans*=invdiv(i); ans%=modnum; } printf("%llu\n",ans); } return 0; } unsigned long long invdiv(unsigned long long p) { unsigned long long r[3], q; unsigned long long x[3]; div_t clc; r[0] = p; r[1] = modnum; x[0] = 1; x[1] = 0; do { clc = div(r[0], r[1]); q = clc.quot; r[2] = clc.rem; while(x[0] < q * x[1]) x[0] += modnum; x[2] = (x[0] - q * x[1]) % modnum; r[0] = r[1]; r[1] = r[2]; x[0] = x[1]; x[1] = x[2]; } while(r[2] > 1); return x[2]; }