#include <bits/stdc++.h>
#include "horses.h"
using namespace std;
#define MOD 1000000009
int ng;
vector<int> xg;
vector<int> yg;
int init(int n, int* x, int* y)
{
ng = n;
for(int i = 0; i < n; i++)
{
xg.push_back(x[i]);
yg.push_back(y[i]);
}
int produs = 1;
int now = ng-1;
for(; now >= 0; now--)
{
produs*=xg[now];
if(produs >= 1e9)
{
break;
}
}
now = max(now, 0);
long long mx = 0, idx = 0;
int pr = 1;
for(int i = now; i < ng; i++)
{
pr*=xg[i];
if(mx < pr*yg[i])
{
mx = pr*yg[i];
idx = i;
}
}
mx%=MOD;
for(int i = 0; i < idx-1; i++)
{
mx*=xg[i];
mx%=MOD;
}
return (int)mx;
}
int updateX(int pos, int val)
{
xg[pos] = val;
int produs = 1;
int now = ng-1;
for(; now >= 0; now--)
{
produs*=xg[now];
if(produs >= 1e9)
{
break;
}
}
now = max(now, 0);
long long mx = 0, idx = 0;
int pr = 1;
for(int i = now; i < ng; i++)
{
pr*=xg[i];
if(mx < pr*yg[i])
{
mx = pr*yg[i];
idx = i;
}
}
mx%=MOD;
for(int i = 0; i < idx-1; i++)
{
mx*=xg[i];
mx%=MOD;
}
return (int)mx;
}
int updateY(int pos, int val)
{
yg[pos] = val;
int produs = 1;
int now = ng-1;
for(; now >= 0; now--)
{
produs*=xg[now];
if(produs >= 1e9)
{
break;
}
}
now = max(now, 0);
long long mx = 0, idx = 0;
int pr = 1;
for(int i = now; i < ng; i++)
{
pr*=xg[i];
if(mx < pr*yg[i])
{
mx = pr*yg[i];
idx = i;
}
}
mx%=MOD;
for(int i = 0; i < idx-1; i++)
{
mx*=xg[i];
mx%=MOD;
}
return (int)mx;
}
