#include "horses.h"
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 5e5 + 10;
const ll mod = 1e9 + 7;
ll x[maxn], y[maxn], n;
ll prod_tree[4 * maxn];
void build_prod_tree(int root, int left, int right)
{
if (left == right)
{
prod_tree[root] = x[left];
return;
}
int mid = (left + right) / 2;
build_prod_tree(root * 2, left, mid);
build_prod_tree(root * 2 + 1, mid + 1, right);
prod_tree[root] = (prod_tree[root * 2] * prod_tree[root * 2 + 1]) % mod;
}
void update_prod(int root, int left, int right, int pos)
{
if (left == right)
{
prod_tree[root] = x[left];
return;
}
int mid = (left + right) / 2;
if (pos <= mid)
update_prod(root * 2, left, mid, pos);
else
update_prod(root * 2 + 1, mid + 1, right, pos);
prod_tree[root] = (prod_tree[root * 2] * prod_tree[root * 2 + 1]) % mod;
}
ll prod_query(int root, int left, int right, int qleft, int qright)
{
if (left > qright || right < qleft)
return 1;
if (left >= qleft && right <= qright)
return prod_tree[root];
int mid = (left + right) / 2;
return (prod_query(root * 2, left, mid, qleft, qright) *
prod_query(root * 2 + 1, mid + 1, right, qleft, qright)) % mod;
}
ll action()
{
ll up = y[n - 1], dw = 1, pos = n - 1;
ll div = 1;
for (int i = n - 2; i >= 0; i --)
{
div = div * x[i + 1];
if (div > 1e9)
break;
///cout << i << " : " << y[i] << " " << div << endl;
/// y[i] / div >? up / dw
if (y[i] * dw >= up * div)
{
///cout << " " << up << " : " << dw << endl;
up = y[i];
dw = div;
pos = i;
}
}
///cout << pos << endl;
ll ans = prod_query(1, 0, n - 1, 0, pos);
//for (int i = 0; i <= pos; i ++)
// ans = (ans * x[i]) % mod;
ans = (ans * y[pos]) % mod;
return ans;
}
int init(int N, int X[], int Y[])
{
n = N;
for (int i = 0; i < n; i ++)
{
x[i] = X[i];
y[i] = Y[i];
}
build_prod_tree(1, 0, n - 1);
return action();
}
int updateX(int pos, int val)
{
x[pos] = val;
update_prod(1, 0, n - 1, pos);
return action();
}
int updateY(int pos, int val)
{
y[pos] = val;
return action();
}
