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>
#define ll long long
#define rep(i,m,n) for(int i=(m); i<=(n); i++)
#define reb(i,m,n) for(int i=(m); i>=(n); i--)
#define pii pair<int,int>
#define pll pair<ll,ll>
#define MP make_pair
#define fs first
#define se second
#define bit(msk, i) ((msk >> i) & 1)
#define iter(id, v) for(auto id : v)
#define pb push_back
#define SZ(v) (int)v.size()
#define ALL(v) v.begin(),v.end()
using namespace std;
mt19937_64 rd(chrono :: steady_clock :: now ().time_since_epoch().count());
ll Rand (ll l, ll r) { return uniform_int_distribution<ll> (l, r) (rd); }
const int N = 1e4 + 2;
const int Mod = 1e9 + 7;
const ll INF = 1e18 + 7;
const ll BASE = 137;
const int szBL = 320;
int n, m;
int a[2][N];
ll dp[N][N], f[N][N];
void solution () {
cin >> n;
rep (i, 1, n) cin >> a[0][i];
rep (i, 1, n) {
cin >> a[1][i];
if (a[1][i] <= a[0][i]) swap(a[1][i], a[0][i]);
}
m = *max_element(a[1] + 1, a[1] + 1 + n);
dp[1][a[1][1]] = 1;
dp[1][a[0][1]] = 1;
rep (i, 2, n) {
rep (k, 0, 1) {
rep (j, 1, m) {
if (j <= a[k][i]) {
(dp[i][a[k][i]] += dp[i - 1][j]) %= Mod;
}
else {
(dp[i][j] += dp[i - 1][j] * (k + 1)) %= Mod;
}
}
// rep (j, 1, m)
// cout << i <<" "<<j<<" "<<dp[i][j] <<"\n";
}
}
// cout<<"\n";
f[n][a[0][n]] = 1;
f[n][a[1][n]] = 1;
reb (i, n - 1, 1)
rep (k, 0, 1) {
rep (j, 1, m) {
if (j <= a[k][i]) {
(f[i][a[k][i]] += f[i + 1][j]) %= Mod;
}
else {
(f[i][j] += f[i + 1][j] * (k + 1))%= Mod;
}
}
// rep (j, 1, m)
// cout << i <<" "<<j<<" "<<f[i][j] <<"\n";
}
ll res = 0;
rep (i, 1, n) {
rep (k, 0, 1) {
// cout << i<<" "<<a[k][i] <<"\n";
rep (j, a[k][i] + 1, m)
rep (p, a[k][i] + 1, m) {
(res += dp[i - 1][j] * f[i + 1][p] % Mod * (min(j, p) - a[k][i]) % Mod) %= Mod;
// cout << i<<" "<<j<<" "<<p<<" "<<dp[i - 1][j] * f[i + 1][p] <<" a\n";
}
}
}
cout << res<<"\n";
}
#define file(name) freopen(name".inp","r",stdin); \
freopen(name".out","w",stdout);
int main () {
// file("c");
ios_base :: sync_with_stdio(false); cin.tie(0); cout.tie(0);
int num_Test = 1;
// cin >> num_Test;
while (num_Test--)
solution();
}
/*
no bug challenge +4
mình có muốn dùng mảng này không?
2 + 8 * 2 - 9
4
1 1 1 1
2 2 2 2
*/
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