This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#pragma GCC optimize("Ofast,unroll-loops,no-stack-protector,fast-math,inline")
#pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,lzcnt,mmx,abm,avx,avx2,fma")
#include <bits/stdc++.h>
using namespace std;
#define int long long
#define all(x) x.begin(), x.end()
const int N = 5e5, mod = 1e9+7;
int n, a[N], b[N], pre[N], suf[N], pw[N];
vector<pair<int, int>> cp;
signed main() {
ios::sync_with_stdio(false); cin.tie(nullptr);
cin >> n;
for (int i = 0; i < n; i++) {
cin >> a[i];
}
for (int i = 0; i < n; i++) {
cin >> b[i];
if (a[i] > b[i]) swap(a[i], b[i]);
}
pw[0] = 1;
for (int i = 1; i < n; i++) {
pw[i] = (pw[i-1] << 1) % mod;
}
vector<int> u(n*2);
u.push_back(0);
for (int i = 0; i < n; i++) {
u[i*2] = a[i];
u[i*2 + 1] = b[i];
}
sort(all(u));
u.erase(unique(all(u)), u.end());
int sz = u.size();
cp.reserve(sz);
for (int i = 0; i < sz; i++) {
cp.push_back(make_pair(u[i], u[i]));
if (i+1 < sz && u[i]+1 <= u[i+1]-1) cp.push_back(make_pair(u[i]+1, u[i+1]-1));
}
sz = cp.size();
int ans = 0;
for (int j = 0; j+1 < sz; j++) {
for (int i = 0; i < n; i++) {
pre[i] = (i ? pre[i-1] : 1);
if (b[i] <= cp[j].second) {
pre[i] *= 2;
pre[i] %= mod;
}
else if (a[i] > cp[j].second) pre[i] = 0;
}
for (int i = n-1; i >= 0; i--) {
suf[i] = (i+1 < n ? suf[i+1] : 1);
if (b[i] <= cp[j].second) {
suf[i] *= 2;
suf[i] %= mod;
}
else if (a[i] > cp[j].second) suf[i] = 0;
}
for (int i = 1; i < n-1; i++) {
int x = 0;
x += pw[n-1-i] * pre[i-1];
x %= mod;
x += pw[i] * suf[i+1];
x %= mod;
x = (x - pre[i-1] * suf[i+1] + mod) % mod;
if (a[i] < cp[j+1].first) {
ans += (pw[n-1] - x + mod) % mod * (cp[j+1].second-cp[j+1].first+1);
ans %= mod;
}
if (b[i] < cp[j+1].first) {
ans += (pw[n-1] - x + mod) % mod * (cp[j+1].second-cp[j+1].first+1);
ans %= mod;
}
}
}
cout << ans << "\n";
}
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