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;
#define ll long long
const int mod = 1e9 + 7;
struct mint {
int v;
mint() {
v = 0;
}
mint(ll x) {
if (x >= mod) {
v = x % mod;
} else {
v = x;
}
}
mint& operator+=(const mint &b) {
if ((v += b.v) >= mod) {
v -= mod;
}
return *this;
}
friend mint operator+(mint a, mint b) {
return a += b;
}
mint& operator*=(const mint &b) {
v = 1ll * v * b.v % mod;
return *this;
}
friend mint operator*(mint a, mint b) {
return a *= b;
}
mint power(mint a, int b) {
mint ans = 1;
while (b) {
if (b & 1) {
ans *= a;
}
a *= a, b >>= 1;
}
return ans;
}
mint& operator/=(const mint &b) {
v = 1ll * v * power(b, mod - 2).v % mod;
return *this;
}
friend mint operator/(mint a, mint b) {
return a /= b;
}
friend ostream& operator<<(ostream &os, mint a) {
return os << a.v;
}
friend istream& operator>>(istream &is, mint &a) {
return is >> a.v;
}
};
const int N = 100'005;
struct segtree {
mint leaf[N];
segtree() {
for (int i = 0; i < N; i++) {
leaf[i] = 1;
}
}
void mult(int l, int r, mint v) {
for (int i = l; i <= r; i++) {
leaf[i] *= v;
}
}
mint get(int l, int r) {
mint s = 0;
for (int i = l; i <= r; i++) {
s += leaf[i];
}
return s;
}
} seg, seg2;
int main() {
ios_base::sync_with_stdio(0), cin.tie(0);
int n;
cin >> n;
int h[n + 1], w[n];
for (int i = 0; i < n; i++) {
cin >> h[i];
}
for (int i = 0; i < n; i++) {
cin >> w[i];
}
h[n] = -2e9;
stack<int> s;
s.push(n);
mint ans = 0;
for (int l = n - 1; l >= 0; l--) {
while (h[l] <= h[s.top()]) {
int st = s.top();
s.pop();
int en = s.top() - 1;
mint v = mint(h[l]) / h[st];
seg.mult(st, en, v);
seg2.mult(st, en, v * v);
}
ans += (mint(w[l]) * (w[l] + 1) / 2) * (mint(h[l]) * (h[l] + 1) / 2);
mint sum = seg.get(l + 1, n - 1) + seg2.get(l + 1, n - 1);
sum *= w[l] / mint(2);
ans += sum;
s.push(l);
seg.mult(l, l, mint(h[l]) * w[l]);
seg2.mult(l, l, mint(h[l]) * h[l] * w[l]);
}
cout << ans << '\n';
return 0;
}
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