//never give up.... just cry when you have to do 🌵🙂 
#define _CRT_SECURE_NO_WARNINGS
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
#define all(v) v.begin(),v.end()
#define rall(v) v.rbegin(), v.rend()
#define sz(v) v.size()
#define mem(dp) memset(dp, 0 , sizeof dp)
long double pi = acos(-1);
void FILe() { freopen("in.txt", "r", stdin); freopen("out.txt", "w", stdout); }
void FAST() { ios_base::sync_with_stdio(0);cin.tie(0);cout.tie(0); }
ll mod = 1e9 + 7;
ll n, a[200005], b, facts[200005], sum = 0;
map<ll ,ll>freq;
ll fpow(ll n, ll x, int mod)
{
	if (x == 0) return 1 % mod;
	else if (x == 1) return n % mod;
	ll ans = fpow(n, x / 2, mod);
	ans = ans * ans % mod;
	if (x & 1) ans = ans * n % mod;
	return ans;
}
void get_fact()
{
	facts[1] = 1;
	for (ll i = 2;i <= 200005;i++)
		facts[i] = ((i%mod) * (facts[i - 1]%mod))%mod;
}
int main()
{
	FAST();
	//freopen("in.txt", "r", stdin); freopen("out.txt", "w", stdout);
	
	cin >> n;
	for (int i = 1;i <= n;i++)cin >> a[i];
	for (int i = 1;i <= n;i++)
	{
		cin >> b;
		freq[i] += ((b - a[i]) / i);
		sum = ((sum%mod) + (((b - a[i]) / i)%mod))%mod;
	}
	get_fact();
	ll ans1 = facts[sum];
	for (auto i : freq)
	{
		ans1 = (ans1 * fpow(facts[i.second], mod - 2, mod)) % mod;
		//ans1 /= facts[i.second];
	}
	cout << ans1;
	return 0;
}