#include "horses.h"
#include <bits/stdc++.h>
using namespace std;
#define X first
#define Y second
#define mp make_pair
#define pb push_back
typedef long long ll;
typedef pair <int, int> pii;
typedef pair <int, pii> pip;
typedef pair <pii, int> ppi;
typedef pair <ll, ll> pll;
const int INF=0x3f3f3f3f;
const int MOD=1e9+7;
const int OFF=(1<<19);
const int MAXN=5e5+5;
int n;
pll T[2*OFF];
int Tmax[2*OFF];
ll x[MAXN], y[MAXN];
ll mul(ll a, ll b) {
return a*b%MOD;
}
pll f(pll a, pll b) {
return mp(mul(a.X, b.X), min((ll)MOD, a.Y*b.Y));
}
pll umn(int a, int b, int pos=1, int lo=0, int hi=OFF) {
if (lo>=a && hi<=b) return T[pos];
if (lo>=b || hi<=a) return mp(1, 1);
int mid=(lo+hi)/2;
return f(umn(a, b, pos*2, lo, mid), umn(a, b, pos*2+1, mid, hi));
}
int mrg(int a, int b) {
if (a==n) return b;
if (b==n) return a;
ll bb=f(umn(a+1, b+1), mp(y[b], y[b])).Y;
return bb>=y[a] ? b : a;
}
int query(int a, int b, int pos=1, int lo=0, int hi=OFF) {
if (lo>=a && hi<=b) return Tmax[pos];
if (lo>=b || hi<=a) return n;
int mid=(lo+hi)/2;
return mrg(query(a, b, pos*2, lo, mid), query(a, b, pos*2+1, mid, hi));
}
ll answer() {
int res=query(0, n);
return mul(umn(0, res+1).X, y[res]);
}
int init(int N, int XX[], int YY[]) {
n=N;
for (int i=0; i<n; ++i) x[i]=XX[i], y[i]=YY[i];
fill(Tmax, Tmax+2*OFF, n);
fill(T, T+2*OFF, mp(1, 1));
for (int i=0; i<n; ++i) Tmax[OFF+i]=i, T[OFF+i].X=T[OFF+i].Y=x[i];
for (int i=OFF-1; i>0; --i) Tmax[i]=mrg(Tmax[i*2], Tmax[i*2+1]), T[i]=f(T[i*2], T[i*2+1]);
return answer();
}
int updateY(int pos, int val) {
y[pos]=val;
pos=(pos+OFF)/2;
while (pos) {
Tmax[pos]=mrg(Tmax[pos*2], Tmax[pos*2+1]);
pos/=2;
}
return answer();
}
int updateX(int pos, int val) {
x[pos]=val;
pos+=OFF;
T[pos].X=T[pos].Y=val;
pos/=2;
while (pos) {
T[pos]=f(T[pos*2], T[pos*2+1]);
pos/=2;
}
return updateY(pos, y[pos]);
}
