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;
const int N = 5e5 + 10, C = 1010, MOD = 1e9 + 7;
long long pw2[N];
void precalc()
{
pw2[0] = 1;
for (int i = 1; i < N; i++)
{
pw2[i] = pw2[i - 1] * 2 % MOD;
}
}
int main()
{
precalc();
cin.tie(0)->sync_with_stdio(0);
int n;
cin >> n;
vector<int> a(n), b(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]);
}
}
long long ans = 0;
for (int i = 0; i < n; i++)
{
(ans += pw2[n - 1] * (b[i] - a[i] + (C - b[i]) * 2ll)) %= MOD;
}
vector<long long> coef(C, 1);
for (int i = 0; i < n; i++)
{
for (int j = 0; j < a[i]; j++)
{
coef[j] = 0;
}
for (int j = b[i]; j < C; j++)
{
(coef[j] *= 2) %= MOD;
}
long long tot = accumulate(coef.begin(), coef.end(), 0ll) % MOD;
(ans += MOD - pw2[n - i - 1] * tot % MOD) %= MOD;
}
fill(coef.begin(), coef.end(), 1ll);
for (int i = n - 1; i >= 0; i--)
{
for (int j = 0; j < a[i]; j++)
{
coef[j] = 0;
}
for (int j = b[i]; j < C; j++)
{
(coef[j] *= 2) %= MOD;
}
long long tot = accumulate(coef.begin(), coef.end(), 0ll) % MOD;
(ans += MOD - pw2[i] * tot % MOD) %= MOD;
}
long long tot = accumulate(coef.begin(), coef.end(), 0ll) % MOD;
(ans += n * tot % MOD) %= MOD;
cout << ans << '\n';
return 0;
}
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