#warning Check FastIO
#ifdef ONLINE_JUDGE
#pragma GCC optimize("Ofast")
#pragma GCC target("avx,avx2,fma")
#endif
#include <iostream>
#include <algorithm>
#include <climits>
#include <queue>
#include <cmath>
#include <map>
#include <set>
#include <random>
#include <chrono>
#include <iomanip>
#include <vector>
#include <fstream>
using namespace std;
#define vll vector<ll>
#define sll set<ll>
#define vstr vector<string>
#define ll long long
#define ld long double
#define supra main
#define pb push_back
#define add insert
#define rall(x) rbegin(x),rend(x)
#define all(x) (x).begin(),(x).end()
#define I ios_base::sync_with_stdio(false);
#define Hear cin.tie(NULL);
#define Shots cout.tie(NULL);
#define Ratatatata
#define bits_on(a) (__builtin_popcountll(a))
#define mx_pw2(a) (__builtin_ctzll(a))
mt19937 RNG(chrono::steady_clock::now().time_since_epoch().count());
#define SHUFFLE(v) shuffle(all(v), RNG);
const ll inf=LLONG_MAX;
void input(vll& a)
{
for(auto& i:a)
cin>>i;
}
void pyn(bool a)
{
cout<<(a?"YES":"NO")<<endl;
}
ll powmod(ll a,ll b,ll modulo)
{
if(b==0){
return 1;
}
ll temp=powmod(a,b/2,modulo);
if(b%2==0){
return (temp*temp)%modulo;
}
else{
return (a*((temp*temp)%modulo))%modulo;
}
}
bool Prime(ll n){
for (ll i = 2; i*i <= n; i++)
if (n % i == 0)
return false;
return (n>1);
}
void solve()
{
ll n;
cin>>n;
vll a(n);
input(a);
vll b(n);
input(b);
ll ans=0;
ll mod=1e9+7;
vll val(n);
vll suf(n+3);
vll pre(n+2);
for(ll mask=0;mask<(1<<n);mask++)
{
for(int i=0;i<n;i++)
{
if(mask&(1<<i))
{
val[i]=a[i];
}
else
{
val[i]=b[i];
}
}
pre[0]=0;
for(int i=1;i<=n;i++)pre[i]=max(pre[i-1],val[i-1]);
suf[n+1]=0;
for(int i=n;i>=1;i--)suf[i]=max(suf[i+1],val[i-1]);
for(int i=0;i<n;i++)
{
ans+=(min(pre[i+1],suf[i+1])-val[i]);
ans%=mod;
}
}
cout<<ans<<endl;
}
int supra(){
I Hear Shots Ratatatata
ll tqwertyuiop=1;
for(int tp=1;tp<=tqwertyuiop;tp++)
{
// cout<<"Case #"<<tp<<": ";
solve();
}
return 0;
}
/*
Bro use only in a emergency
this is kind of hacking
#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
*/
