#include <bits/stdc++.h>
#define ll long long
using namespace std;
const int OO = 1e9+7 ,N=2e5+5;
int dx[] = { 0, 0, 1, -1, 1, -1, 1, -1 }; // dir array
int dy[] = { 1, -1, 0, 0, 1, -1, -1, 1 };
void File(){
#ifndef ONLINE_JUDGE
freopen("Input.txt", "r", stdin);
freopen("Output.txt", "w", stdout);
#endif
}
ll power(ll x, ll k)
{
ll ret = 1;
while (k){
if (k & 1) ret = (ret*x) % OO;
k >>= 1; x = (x*x) % OO;
}
return ret;
}
ll modInverse(ll a, ll m) {
return power(a, m - 2);
}
int solve(){
int n;cin>>n;
ll sum=0;
ll madrob[N];
madrob[0]=madrob[1]=1;
for(ll i=2;i<N;i++){
madrob[i] = (i*madrob[i-1])%OO;
}
vector<int>a(n+1),b(n+1);
for(int i=1;i<=n;i++){
cin>>a[i];
}
for(int i=1;i<=n;i++){
int x;cin>>x;
b[i] = x-a[i];
if(x<a[i])return cout<<0,0;
if(b[i]%i)return cout<<0,0;
b[i]/=i;
sum+=b[i];
}
sum=madrob[sum];
for(int i:b){
if(i){
ll x = modInverse(madrob[i],OO);
sum = ((sum%OO)*(x))%OO;
}
}
cout<<sum;
return 0;
}
int main() {
File();
ios_base::sync_with_stdio(false), cin.tie(nullptr), cout.tie(nullptr);
// int t,i=1;cin>>t;
// while(t--)
solve();
}
//Solve on paper first
//Overflooooooow
//Reverse Thinking
//If there's an equation, transform it into an easy one
//READ ALL PROBLEMS
//Verify Your thought before Coding
Copy