/// ... :(
#include <bits/stdc++.h>
#include "horses.h"
using namespace std;
const int NMAX = 5e5 + 5;
const int mod = 1e9 + 7;
int N, X[NMAX], Y[NMAX];
namespace SegmentTree
{
int N;
vector<double> lg, lgadd;
vector<int> aint, aintadd;
int sti, dri;
double lgval;
int val;
void B(int nod, int st, int dr)
{
lg[nod] = lgadd[nod] = 0;
aint[nod] = aintadd[nod] = 1;
if(st == dr) return;
int mij = st + (dr - st) / 2;
B(nod * 2, st, mij);
B(nod * 2 + 1, mij + 1, dr);
}
void init(int _N)
{
N = _N;
lg.resize(4 * N);
lgadd.reserve(4 * N);
aint.resize(4 * N);
aintadd.resize(4 * N);
B(1, 1, N);
}
void lazy(int nod)
{
double lgval = lgadd[nod];
int val = aintadd[nod];
lgadd[nod] = 0, aintadd[nod] = 1;
for(int i = 0; i <= 1; i++)
{
lg[nod * 2 + i] += lgval;
lgadd[nod * 2 + i] += lgval;
aint[nod * 2 + i] = (1LL * aint[nod * 2 + i] * val) % mod;
aintadd[nod * 2 + i] = (1LL * aintadd[nod * 2 + i] * val) % mod;
}
}
void U(int nod, int st, int dr)
{
if(sti <= st && dr <= dri)
{
lg[nod] += lgval;
lgadd[nod] += lgval;
aint[nod] = (1LL * aint[nod] * val) % mod;
aintadd[nod] = (1LL * aintadd[nod] * val) % mod;
return;
}
int mij = st + (dr - st) / 2;
lazy(nod);
if(sti <= mij) U(nod * 2, st, mij);
if(mij < dri) U(nod * 2 + 1, mij + 1, dr);
if(lg[nod * 2] > lg[nod * 2 + 1])
{
lg[nod] = lg[nod * 2];
aint[nod] = aint[nod * 2];
}
else
{
lg[nod] = lg[nod * 2 + 1];
aint[nod] = aint[nod * 2 + 1];
}
}
void update(int st, int dr, double mylg, int myval)
{
sti = st, dri = dr;
lgval = mylg;
val = myval;
U(1, 1, N);
}
}
int power(int x, int y)
{
if(x == 0) return 0;
if(y <= 0) return 1;
int ans = power( (1LL * x * x) % mod, y >> 1 );
if(y & 1) ans = (1LL * ans * x) % 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];
SegmentTree::init(N);
for(int i = 0; i < N; i++)
{
SegmentTree::update(i + 1, N, log2(X[i]), X[i]);
SegmentTree::update(i + 1, i + 1, log2(Y[i]), Y[i]);
}
return SegmentTree::aint[1];
}
int updateX(int pos, int val)
{
SegmentTree::update(pos + 1, N, -log2(X[pos]), power(X[pos], mod - 2));
X[pos] = val;
SegmentTree::update(pos + 1, N, log2(X[pos]), X[pos]);
return SegmentTree::aint[1];
}
int updateY(int pos, int val) {
SegmentTree::update(pos + 1, pos + 1, -log2(Y[pos]), power(Y[pos], mod - 2));
Y[pos] = val;
SegmentTree::update(pos + 1, pos + 1, log2(Y[pos]), Y[pos]);
return SegmentTree::aint[1];
}