#include <bits/stdc++.h>
#include "horses.h"
#define inf 1000000007
#define mod 1000000007
#define lson (p<<1)
#define rson (p<<1|1)
#define lowbit(x) (x&(-x))
// #define int long long
// #pragma GCC optimize("Ofast","inline","-ffast-math")
// #pragma GCC target("avx,sse2,sse3,sse4,mmx")
using namespace std;
template <typename T> void read(T &x){
x=0;char ch=getchar();int fh=1;
while (ch<'0'||ch>'9'){if (ch=='-')fh=-1;ch=getchar();}
while (ch>='0'&&ch<='9')x=x*10+ch-'0',ch=getchar();
x*=fh;
}
template <typename T> void write(T x) {
if (x<0) x=-x,putchar('-');
if (x>9) write(x/10);
putchar(x%10+'0');
}
template <typename T> void writeln(T x) {
write(x);
puts("");
}
int n,m;
int x[500005],y[500005];
long long bit[500005];
pair<double,int> mx[2000005];
double tag[2000005];
long long qpow(long long a,long long b)
{
long long res=1;
while(b)
{
if(b&1) res=res*a%mod;
a=a*a%mod;
b>>=1;
}
return res;
}
void bitmodify(int x,long long y)
{
while(x<=n)
{
bit[x]*=y;
bit[x]%=mod;
x+=lowbit(x);
}
}
long long bitquery(int x)
{
long long res=1;
while(x)
{
res*=bit[x];
res%=mod;
x-=lowbit(x);
}
return res;
}
void build(int p,int l,int r)
{
if(l==r)
{
mx[p]={0,l};
return;
}
int mid=l+r>>1;
build(lson,l,mid);
build(rson,mid+1,r);
mx[p]=max(mx[lson],mx[rson]);
}
void pushdown(int p)
{
mx[lson].first+=tag[p],tag[lson]+=tag[p];
mx[rson].first+=tag[p],tag[rson]+=tag[p];
tag[p]=0;
}
void modify(int p,int l,int r,int x,int y,double k)
{
if(x<=l&&r<=y)
{
mx[p].first+=k,tag[p]+=k;
return;
}
int mid=l+r>>1;
pushdown(p);
if(x<=mid) modify(lson,l,mid,x,y,k);
if(mid+1<=y) modify(rson,mid+1,r,x,y,k);
mx[p]=max(mx[lson],mx[rson]);
}
int init(int N,int X[],int Y[])
{
n=N;
for(int i=1;i<=n;++i)
{
x[i]=X[i-1];bit[i]=1;
}
for(int i=1;i<=n;++i)
y[i]=Y[i-1];
build(1,1,n);
for(int i=1;i<=n;++i)
{
bitmodify(i,x[i]);
modify(1,1,n,i,n,log(x[i])/log(2));
modify(1,1,n,i,i,log(y[i])/log(2));
}
return (bitquery(mx[1].second)*y[mx[1].second]%mod);
}
int updateX(int pos,int val)
{
++pos;
bitmodify(pos,qpow(x[pos],mod-2));
bitmodify(pos,val);
modify(1,1,n,pos,n,-log(x[pos])/log(2));
modify(1,1,n,pos,n,log(val)/log(2));
x[pos]=val;
return (bitquery(mx[1].second)*y[mx[1].second]%mod);
}
int updateY(int pos,int val)
{
++pos;
modify(1,1,n,pos,pos,-log(y[pos])/log(2));
modify(1,1,n,pos,pos,log(val)/log(2));
y[pos]=val;
return (bitquery(mx[1].second)*y[mx[1].second]%mod);
}
