#include<iostream>
#include<vector>
#include<cmath>
#include<algorithm>
#include<map>
#include<cstring>
#include<sstream>
using namespace std;
long long mod=1000000007,mx=0;
long long factorial[100000008];
long long   Fpow(long long x, long long  y,long long  mod) {
return(!y ? 1 : (((y & 1) ? x : 1) % mod * Fpow((x % mod) * (x % mod) % mod, y >> 1, mod) % mod) % mod);
}
void GetFactorial(){
    long long ans=1;
    factorial[0]=1;
    for(int i=1;i<=2472179;i++){

        ans*=i;
        factorial[i]=ans;
    }
}
int main() {
    std::ios_base::sync_with_stdio(NULL);
    cin.tie(NULL);
    cout.tie(NULL);
    long long n, o = 0, ans = 1, m = 0, in = -1;
    cin >> n;
    vector<long long> p(n + 1), q(n + 1);
    GetFactorial();
    for (int i = 1; i <= n; i++)
        cin >> p[i];
    for(int i=1;i<=n;i++)
    {
        cin>>q[i];
        o+=(q[i]-p[i])/i;
    }
    long long b;
    mx = factorial[o];
    ans=mx;
    for(int i=1;i<=n;i++){

        b=(q[i]-p[i])/i;
        if(b!=0)
       ans=( (ans% mod )* Fpow(b, mod - 2, mod) % mod) % mod;
    }
    cout <<ans;
}