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 sz(x) (int)x.size()
#define all(x) x.begin(), x.end()
#define rall(x) x.rbegin(), x.rend()
#define int long long
using namespace std;
using ll = long long;
using ull = unsigned long long;
using ld = long double;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
const int mod = 1e9 + 7;
const int LOG = 20;
const int maxn = 1e5 + 5;
const double eps = 1e-9;
ll exp(ll a, ll b) {
ll ans = 1;
while(b) {
if(b & 1) ans = (ans * a) % mod;
a = (a * a) % mod;
b /= 2;
}
return ans;
}
ll inv(ll a) { return exp(a, mod - 2); }
ll C(ll a) { return a * (a + 1) % mod * inv(2) % mod; }
ll S(ll l, ll r) { return (C(r%mod) - C((l-1+mod)%mod) + mod) % mod; }
struct DSU {
int n, comp;
vector<int> par, size;
vector<ll> W;
void config(int _n) {
n = _n + 1;
comp = _n;
par.resize(n+1);
size.resize(n+1, 1);
W.resize(n+1);
for(int i=1; i<=n; i++) par[i] = i;
}
int get(int u) {
if(u == par[u]) return u;
return par[u] = get(par[u]);
}
bool uni(int u, int v) {
u = get(u), v = get(v);
if(u == v) return false;
if(size[u] < size[v]) swap(u, v);
size[u] += size[v];
W[u] = (W[u] + W[v]) % mod;
par[v] = u;
comp--;
return true;
}
int getComp() { return comp; }
int getSize(int u) { return size[get(u)]; }
bool sameSet(int u, int v) { return get(u) == get(v); }
void setW(int p, int w) { W[get(p)] += w; }
ll getW(int p) { return W[get(p)]; }
};
struct Edge {
int a, b, w;
bool operator<(Edge &e) { return w > e.w;}
};
int32_t main() {
ios_base::sync_with_stdio(false);
cout.tie(0); cin.tie(0);
int n;
cin >> n;
vector<ll> h(n+1), w(n+1);
for(int i=1; i<=n; i++) cin >> h[i];
for(int i=1; i<=n; i++) cin >> w[i];
//gl&hf
ll ans = 0;
for(int i=1; i<=n; i++) ans = (ans + C(w[i]) * C(h[i])) % mod;
DSU dsu; dsu.config(n);
for(int i=1; i<=n; i++) dsu.setW(i, w[i]);
vector<Edge> edges;
for(int i=1; i<n; i++) edges.push_back({ i, i + 1, min(h[i], h[i+1]) });
sort(all(edges));
for(Edge &e : edges) {
ll L = dsu.getW(e.a);
ll R = dsu.getW(e.b);
dsu.uni(e.a, e.b);
ans = (ans + (R + mod) % mod * C(e.w) % mod * (L + mod) % mod) % mod;
}
cout << ans << '\n';
return 0;
}
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