#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
typedef unsigned long long ull;
#define MASK(i) (1ULL << (i))
#define GETBIT(mask, i) (((mask) >> (i)) & 1)
#define ALL(v) (v).begin(), (v).end()
#define block_of_code if(true)
ll max(ll a, ll b){return (a > b) ? a : b;}
ll min(ll a, ll b){return (a < b) ? a : b;}
ll gcd(ll a, ll b){return __gcd(a, b);}
ll LASTBIT(ll mask){return (mask) & (-mask);}
int pop_cnt(ll mask){return __builtin_popcountll(mask);}
int ctz(ull mask){return __builtin_ctzll(mask);}
int logOf(ull mask){return 63 - __builtin_clzll(mask);}
mt19937_64 rng(chrono::high_resolution_clock::now().time_since_epoch().count());
ll rngesus(ll l, ll r){return l + (ull) rng() % (r - l + 1);}
template <class T1, class T2>
bool maximize(T1 &a, T2 b){
if (a < b) {a = b; return true;}
return false;
}
template <class T1, class T2>
bool minimize(T1 &a, T2 b){
if (a > b) {a = b; return true;}
return false;
}
template <class T>
void printArr(T container, string separator = " ", string finish = "\n", ostream &out = cout){
for(auto item: container) out << item << separator;
out << finish;
}
template <class T>
void remove_dup(vector<T> &a){
sort(ALL(a));
a.resize(unique(ALL(a)) - a.begin());
}
const int MOD = 1e9 + 7;
struct Modular{
ll x;
Modular(ll _x = 0){x = _x;}
Modular& operator += (Modular y){
x += y.x;
if (x >= MOD) x -= MOD;
return *this;
}
Modular operator + (Modular y) {
Modular tmp = *this;
return tmp += y;
}
Modular& operator -= (Modular y){
x -= y.x;
if (x < 0) x += MOD;
return *this;
}
Modular operator - (Modular y) {
Modular tmp = *this;
return tmp -= y;
}
Modular& operator *= (Modular y){
x *= y.x;
if (x >= MOD) x %= MOD;
return *this;
}
Modular operator * (Modular y) {
Modular tmp = *this;
return tmp *= y;
}
// use at your own risk
bool operator == (Modular y){
return x == y.x;
}
bool operator != (Modular y){
return x != y.x;
}
};
ostream& operator << (ostream& out, Modular x){
out << x.x;
return out;
}
const int N = 5e5 + 69;
array<int, 2> a[N], c[N];
array<Modular, 2> pref[N], suff[N];
Modular p2[N];
struct FenwickTree{
int n;
vector<Modular> a;
FenwickTree(int _n){
n = _n;
a.resize(n + 1, 1);
}
void update(int i){
while(i <= n){
a[i] *= 2;
i += LASTBIT(i);
}
}
Modular get(int i){
Modular ans = 1;
while(i > 0){
ans *= a[i];
i -= LASTBIT(i);
}
return ans;
}
void reset(){
a = vector<Modular>(n+1, 1);
}
};
pair<Modular, Modular> operator * (pair<Modular, Modular> x, Modular y){
x.first *= y;
x.second *= y;
return x;
}
pair<Modular, Modular> operator + (pair<Modular, Modular> x, pair<Modular, Modular> y){
x.first += y.first;
x.second += y.second;
return x;
}
struct SegmentTree{
struct Node{
pair<Modular, Modular> val;
Modular lazy;
Node(){
lazy = 1;
}
};
int n;
vector<Node> a;
SegmentTree(int _n){
n = _n;
a.resize(n * 4 + 4);
}
void down(int id){
Modular x = a[id].lazy;
a[id * 2].val = a[id * 2].val * x; a[id * 2 + 1].val = a[id * 2 + 1].val * x;
a[id * 2].lazy *= x; a[id * 2 + 1].lazy *= x;
a[id].lazy = 1;
}
void add(int i, pair<Modular, Modular> val, int l, int r, int id){
if (l == r){
a[id].val = a[id].val + val;
return;
}
if (a[id].lazy != 1) down(id);
int mid = (l + r) >> 1;
if (i <= mid) add(i, val, l, mid, id * 2);
if (i > mid) add(i, val, mid + 1, r, id * 2 + 1);
a[id].val = a[id * 2].val + a[id * 2 + 1].val;
}
void add(int i, pair<Modular, Modular> val){
if (1 <= i && i <= n) add(i, val, 1, n, 1);
}
void mul(int u, int v, Modular val, int l, int r, int id){
if (u <= l && r <= v){
a[id].val = a[id].val * val;
a[id].lazy *= val;
return;
}
if (a[id].lazy != 1) down(id);
int mid = (l + r) >> 1;
if (u <= mid) mul(u, v, val, l, mid, id * 2);
if (v > mid) mul(u, v, val, mid + 1, r, id * 2 + 1);
a[id].val = a[id * 2].val + a[id * 2 + 1].val;
}
void mul(int l, int r, Modular val){
if (l <= r) mul(l, r, val, 1, n, 1);
}
pair<Modular, Modular> get(int u, int v, int l, int r, int id){
if (u <= l && r <= v) return a[id].val;
if (a[id].lazy != 1) down(id);
int mid = (l + r) >> 1;
pair<Modular, Modular> ans;
if (u <= mid) ans = ans +get(u, v, l, mid, id * 2);
if (v > mid) ans = ans + get(u, v, mid + 1, r, id * 2 + 1);
return ans;
}
pair<Modular, Modular> get(int l, int r){
if (l > r) return make_pair(0, 0);
return get(l, r, 1, n, 1);
}
};
int main(void){
ios::sync_with_stdio(0); cin.tie(0); cout.tie(0);
int n; cin >> n;
for(int j = 0; j<=1; ++j)
for(int i = 0; i<n; ++i) cin >> a[i][j];
for(int i = 0; i<n; ++i) sort(ALL(a[i]));
p2[0] = 1;
for(int i = 1; i<N; ++i) p2[i] = p2[i-1] * 2;
Modular ans = 0;
for(int i= 0; i<n; ++i){
for(int u: a[i]) ans -= p2[n-1] * u;
}
vector<int> b;
for(int i= 0; i<n; ++i)
for(int j = 0; j<2; ++j) b.push_back(a[i][j]);
remove_dup(b);
for(int i = 0; i<n; ++i) for(int j = 0; j<2; ++j) c[i][j] = lower_bound(ALL(b), a[i][j]) - b.begin() + 1;
int m = b.size();
FenwickTree bit(m);
int ma = 0;
for(int i =0; i<n; ++i){
for(int u = 0; u<=1; ++u){
if (a[i][u] <= ma) continue;
pref[i][u] = bit.get(c[i][u]);
}
bit.update(c[i][1] + 1);
maximize(ma, a[i][0]);
}
bit.reset();
ma = 0;
for(int i = n-1; i>=0; --i) {
for(int u = 0; u<=1; ++u){
if (a[i][u] <= ma) continue;
suff[i][u] = bit.get(c[i][u]);
}
bit.update(c[i][1] + 1);
maximize(ma, a[i][0]);
}
for(int iteration = 0; iteration <= 1; ++iteration){
SegmentTree sum(m);
for(int i = 0; i<n; ++i){
for(int _u = 0; _u <= 1; ++_u){
pair<Modular, Modular> cur = sum.get(1, c[i][_u] - 1);
ans += (cur.first * i - cur.second) * p2[n-1-i];
}
sum.mul(1, c[i][0] - 1, 0);
sum.mul(c[i][1], m, 2);
for(int _u = 0; _u <= 1; ++_u){
int u = a[i][_u];
Modular cu = pref[i][_u];
if (cu == 0) continue;
pair<Modular, Modular> cur = {cu * u, cu * u * i};
sum.add(c[i][_u], cur);
}
}
reverse(a, a + n);
reverse(c, c + n);
reverse(pref, pref + n);
reverse(suff, suff + n);
for(int i = 0; i<n; ++i) swap(pref[i], suff[i]);
}
for(int i = 0; i<n; ++i) {
for(int u = 0; u <= 1; ++u) ans += pref[i][u] * suff[i][u] * a[i][u];
}
SegmentTree sum(m);
for(int i = 0; i<n; ++i){
for(int _u = 0; _u <= 1; ++_u){
pair<Modular, Modular> cur = sum.get(c[i][_u], c[i][_u]);
ans += (cur.first * (i+1) - cur.second) * suff[i][_u];
}
sum.mul(1, c[i][0] - 1, 0);
sum.mul(c[i][1], m, 2);
for(int _u = 0; _u <= 1; ++_u){
int u = a[i][_u];
Modular cu = pref[i][_u];
pair<Modular, Modular> cur = {cu * u, cu * u * i};
sum.add(c[i][_u], cur);
}
}
cout << ans << "\n";
return 0;
}
