#include <bits/stdc++.h>
using namespace std;
int main(){
long long int n, l, i, r, new_l=0;
cin>>n>>l;
for(i=0; i<n; i++){
cin>>r;
}
long long int a=l-(r-1)*(n-1), b=n;
long long int ans;
long long int final_a=1, final_dif_ab=1, final_b=1;
long long int m=1e9+7;
for(i=1; i<=a; i++){
final_a=((final_a%m)*(i%m))%m;
}
for(i=1; i<=b; i++){
final_b=((final_b%m)*(i%m))%m;
}
for(i=1; i<=a-b; i++){
final_dif_ab=((final_dif_ab%m)*(i%m))%m;
}
// double f=final_dif_ab;
// double d=1/f;
// double f2=final_a;
ans=final_a/((final_b*final_dif_ab)%m);
cout<<(final_b%m*ans%m)%m<<endl;
return 0;
}
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