#include <bits/stdc++.h>
using namespace std;
long long tp[500001 << 2], tmd[500001 << 2];
const long long md = 1e9 + 7;
int N;
void upd_product(int v, int tl, int tr, int pos, int val){
if(tl == pos && tl == tr){
tp[v] = tmd[v] = val * 1ll;
return;
}
int tm = (tl + tr) >> 1;
if(pos <= tm) upd_product(v * 2, tl, tm, pos, val);
else upd_product(v * 2 + 1, tm + 1, tr, pos, val);
tmd[v] = (tmd[v * 2] * tmd[v * 2 + 1]) % md;
tp[v] = tp[v * 2] * tp[v * 2 + 1];
if(tp[v] > 1000000000 * 1ll || tp[v * 2] == -1 || tp[v * 2 + 1] == -1) tp[v] = -1;
}
long long query_product(int v, int tl, int tr, int l, int r){
if(l > r) return 1ll;
if(tl == l && tr == r) return tp[v];
int tm = (tl + tr) >> 1;
long long left = query_product(v * 2, tl, tm, l, min(r, tm));
long long right = query_product(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r);
if(left == -1 || right == -1 || left * right > 1000000000 * 1ll) return -1;
return left * right;
}
long long query_md(int v, int tl, int tr, int l, int r){
if(l > r) return 1ll;
if(tl == l && tr == r) return tmd[v];
int tm = (tl + tr) >> 1;
long long left = query_product(v * 2, tl, tm, l, min(r, tm));
long long right = query_product(v * 2 + 1, tm + 1, tr, max(l, tm + 1), r);
return (left * right) % md;
}
// Actual query tree
int t[500001 << 2];
long long Y[500001];
void build(int v, int tl, int tr){
if(tl == tr){
t[v] = tl;
return;
}
int tm = (tl + tr) >> 1;
build(v * 2, tl, tm);
build(v * 2 + 1, tm + 1, tr);
long long Yl = Y[t[v * 2]], Yr = Y[t[v * 2 + 1]];
long long prod = query_product(1, 0, N - 1, t[v * 2] + 1, t[v * 2 + 1]);
if(prod == -1 || prod * Yr > Yl) t[v] = t[v * 2 + 1];
else t[v] = t[v * 2];
}
void ins(int v, int tl, int tr, int pos){
if(tl == pos && tl == tr) return;
int tm = (tl + tr) >> 1;
if(pos <= tm) ins(v * 2, tl, tm, pos);
else ins(v * 2 + 1, tm + 1, tr, pos);
long long Yl = Y[t[v * 2]], Yr = Y[t[v * 2 + 1]];
long long prod = query_product(1, 0, N - 1, t[v * 2] + 1, t[v * 2 + 1]);
if(prod == -1 || prod * Yr > Yl) t[v] = t[v * 2 + 1];
else t[v] = t[v * 2];
}
int init(int N_tmp, int X[], int Y_tmp[]){
N = N_tmp;
for(int i = 0; i < N; i++) upd_product(1, 0, N - 1, i, X[i]);
for(int i = 0; i < N; i++) Y[i] = Y_tmp[i] * 1ll;
build(1, 0, N - 1);
return int((query_md(1, 0, N - 1, 0, t[1]) * Y[t[1]]) % md);
}
int updateX(int pos, int val){
upd_product(1, 0, N - 1, pos, val);
ins(1, 0, N - 1, pos);
return int((query_md(1, 0, N - 1, 0, t[1]) * Y[t[1]]) % md);
}
int updateY(int pos, int val){
Y[pos] = val;
ins(1, 0, N - 1, pos);
return int((query_md(1, 0, N - 1, 0, t[1]) * Y[t[1]]) % md);
}
