This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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];
array<Modular, 2> pref[N], suff[N];
Modular p2[N];
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;
}
for(int iteration = 0; iteration <= 1; ++iteration){
for(int i = 0; i<n; ++i){
for(int u: a[i]){
Modular cu = 1;
for(int j = 0; j< i; ++j) {
int cnt= 0;
for(int v: a[j]) if (v < u) cnt++;
cu *= cnt;
if (cu == 0) break;
}
if (cu == 0) continue;
for(int j = i + 1; j<n; ++j){
Modular sum = (Modular) u * (j - i);
for(int v: a[j]) if (v > u) ans += sum * cu * p2[n-1-j];
int cnt= 0;
for(int v: a[j]) if (v <= u) cnt++;
cu *= cnt;
if (cu == 0) break;
}
}
}
reverse(a, a + n);
}
for(int i =0; i<n; ++i){
for(int u = 0; u<=1; ++u){
Modular cur = 1;
for(int j = 0; j<i; ++j) {
int cnt = 0;
for(int v: a[j]) cnt += v < a[i][u];
cur *= cnt;
}
pref[i][u] = cur;
cur = 1;
for(int j = i+1; j<n; ++j) {
int cnt = 0;
for(int v: a[j]) cnt += v < a[i][u];
cur *= cnt;
}
suff[i][u] = cur;
}
}
for(int i = 0; i<n; ++i) {
for(int u = 0; u <= 1; ++u) ans += pref[i][u] * suff[i][u] * a[i][u];
}
for(int i = 0; i<n; ++i) for(int u = 0; u <= 1; ++u){
Modular mul = 1;
for(int j = i + 1; j<n; ++j){
for(int v = 0; v <= 1; ++v) if (a[i][u] == a[j][v]){
ans += pref[i][u] * suff[j][v] * mul * a[i][u] * (j - i + 1);
}
int cnt= 0;
for(int v: a[j]) cnt += v <= a[i][u];
mul *= cnt;
}
}
cout << ans << "\n";
return 0;
}
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