#include "horses.h"
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;
#define ll long long
#define pb push_back
typedef pair<ll,ll> pii;
typedef tree<ll, null_type, less<ll>, rb_tree_tag, tree_order_statistics_node_update> indexed_set;
const ll MAXN=5e5+5;
const ll MOD=1e9+7;
int x[MAXN],y[MAXN],mini,n;
pair<ll,bool> seg[4*MAXN];
//seg[node].second = 1 se ja ultrapassou 1e9+7
void recalculate(ll node){
bool ok=false;
if(seg[2*node+1].second==true)ok=true;
if(seg[2*node+2].second==true)ok=true;
ll res = seg[2*node+1].first*seg[2*node+2].first;
if(res>=MOD){
res%=MOD;
ok=true;
}
seg[node] = {res,ok};
}
void build(ll node, ll left, ll right){
if(left==right){
seg[node] = {(ll)x[left],false};
}else{
ll middle=(left+right)/2;
build(2*node+1,left,middle);
build(2*node+2,middle+1,right);
recalculate(node);
}
}
void update(ll node, ll left, ll right, ll pos, ll val){
if(left==right){
seg[node]={val,false};
}else{
ll middle = (left+right)/2;
if(pos<=middle)update(2*node+1,left,middle,pos,val);
if(pos>=middle+1)update(2*node+2,middle+1,right,pos,val);
recalculate(node);
}
}
ll querie(ll node, ll left, ll right, ll a, ll b){
if(a<=left&&b>=right){
return seg[node].first;
}else{
ll middle=(left+right)/2,res=1;
if(a<=middle)res*=querie(2*node+1,left,middle,a,b);
res%=MOD;
if(b>=middle+1)res*=querie(2*node+2,middle+1,right,a,b);
res%=MOD;
if(res<0)res+=MOD;
return res;
}
}
int init(int N, int X[], int Y[]){
ll i,j=N;
mini=MOD+10; n=N;
for(i=0;i<N;i++){
x[i+1] = X[i];
y[i+1] = Y[i];
mini = min(mini,X[i]);
}
build(0,1,N);
ll cur=(ll)x[n];
for(i=N-1;i>=1;i--){
if(cur>=MOD)break;
if(y[i]>cur*y[j]){
j=i;
}else{
cur*=x[i];
}
}
ll ans = querie(0,1,N,1,j);
ans*=y[j];
ans%=MOD;
if(ans<0)ans+=MOD;
return ans;
}
int updateX(int pos, int val){
mini=min(mini,val);
//if(mini>=2){
//e otimal ir ate um dos ultimos 30 dias
//}
update(0,1,n,pos+1,val);
x[pos+1]=val;
ll i,j=n,cur=(ll)x[n];
for(i=n-1;i>=1;i--){
if(cur>=MOD)break;
if(y[i]>cur*y[j]){
j=i;
}else{
cur*=x[i];
}
}
ll ans = querie(0,1,n,1,j);
ans*=y[j];
ans%=MOD;
if(ans<0)ans+=MOD;
return ans;
}
int updateY(int pos, int val) {
y[pos+1]=val;
ll i,j=n,cur=(ll)x[n];
for(i=n-1;i>=1;i--){
if(cur>=MOD)break;
if(y[i]>cur*y[j]){
j=i;
}else{
cur*=x[i];
}
}
ll ans = querie(0,1,n,1,j);
ans*=y[j];
ans%=MOD;
if(ans<0)ans+=MOD;
return ans;
}
