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>
// #include <ext/pb_ds/assoc_container.hpp>
// #include <ext/pb_ds/tree_policy.hpp>
// #include <ext/rope>
using namespace std;
// using namespace __gnu_pbds;
typedef long long ll;
typedef unsigned long long ull;
typedef unsigned int uint;
typedef long double ld;
template <class T>
using VV = vector<vector<T>>;
using VI = vector<int>;
using VVI = vector<vector<int>>;
using VL = vector<long long>;
using VVL = vector<vector<long long>>;
using VC = vector<char>;
using VVC = vector<vector<char>>;
using VB = vector<bool>;
using VVB = vector<vector<bool>>;
using VD = vector<double>;
using VVD = vector<vector<double>>;
using PII = pair<int, int>;
using PLL = pair<long long, long long>;
using PIL = pair<int, long long>;
using PLI = pair<long long, int>;
using VPII = vector<pair<int, int>>;
using VPLL = vector<pair<long long, long long>>;
#define LINE '\n'
#define SPACE ' '
#define PB push_back
#define FOR(i, a, b) for (int i = (a); i < (int(b)); i++)
#define FORE(i, a, b) for (int i = (a); i <= (int)((b)); i++)
#define ALL(x) x.begin(), x.end()
#define RALL(x) x.rbegin(), x.rend()
#define sq(a) ((a) * (a))
#define sz(x) ((int)x.size())
#define debug(x) cerr << #x << " = " << x << endl;
// zero indexed
template <class T>
struct segtree
{
const T def = 0;
int n;
vector<T> seg;
segtree(int _size) : n(_size), seg(2 * _size, def) {}
T merge(T a, T b)
{
return max(a, b);
}
void update(int pos, T val)
{
for (seg[pos += n] = val; pos /= 2;)
{
seg[pos] = merge(seg[pos * 2], seg[pos * 2 + 1]);
}
}
T query(int l, int r)
{ // get [l, r]
T a = def, b = def;
for (l += n, r += n + 1; l < r; l /= 2, r /= 2)
{
if (l % 2)
a = merge(a, seg[l++]);
if (r % 2)
b = merge(b, seg[--r]);
}
return merge(a, b);
}
};
const ll MOD = 1e9 + 7;
template <class T>
void maxi(T &a, T b)
{
a = max(a, b);
}
template <class T>
void mini(T &a, T b)
{
a = min(a, b);
}
template <class T>
void addi(T &a, T b)
{
a = (a + b) % MOD;
}
template <class T>
void subi(T &a, T b)
{
a = (a - b + MOD) % MOD;
}
template <class T>
T add(T a, T b)
{
return (a + b) % MOD;
}
template <class T>
T sub(T a, T b)
{
return (a - b + MOD) % MOD;
}
template <class T>
T mul(T a, T b)
{
return ((a % MOD) * (b % MOD)) % MOD;
}
ll binpow(ll a, ll b, ll mod)
{
ll res = 1;
while (b > 0)
{
if (b & 1)
{
res = (res * a) % mod;
}
a = (a * a) % mod;
b >>= 1;
}
return res;
}
const int INF = 1e9;
const int MAX_N = 1e5 + 3;
struct SEG
{
ll h, w, sum;
};
void solve()
{
int n;
cin >> n;
VL h(n);
VL w(n);
FOR(i, 0, n)
cin >> h[i];
FOR(i, 0, n)
cin >> w[i];
stack<SEG> st;
ll ans = 0;
FOR(i, 0, n)
{
int w_sum = 0;
while (sz(st) && st.top().h >= h[i])
{
auto [h_seg, w_seg, sum_seg] = st.top();
w_sum += w_seg;
}
if(!sz(st) && w_sum) {
ll val = w_sum * w[i] * (h[i] * (h[i] + 1) / 2);
val %= MOD;
addi(ans, val);
}
ll t1 = w[i] * (w[i] + 1) / 2 * h[i] * (h[i] + 1) / 2;
t1 %= MOD;
addi(ans, t1);
ll new_sum = 0;
if(sz(st)) {
auto [h_seg, w_seg, sum_seg] = st.top();
ll t2 = sum_seg * (w[i]);
addi(ans, t2);
new_sum = sum_seg;
}
new_sum += w[i] * h[i] * (h[i] + 1) / 2;
st.push({w_sum, h[i], new_sum});
}
cout << ans << LINE;
}
int main()
{
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
int t = 1;
// cin >> t;
while (t--)
solve();
}
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