#include <bits/stdc++.h>
using namespace std ;
#define int long long
const int N = 1e4 + 11 , mod = 10007 ;
int n , m , a[N] , sum[N] , le[N] , ans = 1 ;
int fast ( int x ) {
int p = mod - 2 , sum = 1;
while (p) {
if (p & 1) {
sum *= x ;
sum %= mod ;
}
p >>= 1 ;
x *= x ;
x %= mod ;
}
return sum ;
}
signed main ( ) {
cin >> n >> m ;
sum [0] = 1 ;
for (int i = 1 ; i <= m ; i ++ )
cin >> a[i] ;
for (int i = 1 ; i <= n ; i ++) {
sum[i] = sum[i - 1] * i ;
sum[i] %= mod ;
}
for (int i = 1 ; i <= n ; i ++)
le[i] = fast (i) ;
for (int i = 2 ; i <= n ; i ++) {
le[i] = le[i - 1] * fast (i) ;
le[i] %= mod ;
}
for (int i = 1 ; i <= m ; i ++ ) {
ans *= sum[n] * le[ a[i] ] * le[n - a[i] ] ;
ans %= mod ;
n -= a[i] ;
}
cout << ans ;
return 0 ;
}