#include "horses.h"
#include <algorithm>
#include <vector>
#include <iostream>
#define lc (i << 1)
#define rc (1 | (i << 1))
using namespace std;
const int MOD = 1e9 + 7;
int add(long long a, long long b){
return (a + b) % MOD;
}
int mul(long long a, long long b){
return (a * b) % MOD;
}
struct Node{
int val, mx;
long long prod;
Node(){
val = mx = prod = 0;
}
};
Node st[4 * 500010];
int n;
vector<int> x, y;
const int MAX = 1e9;
void update(int l, int r, int pt, int val, int type, int i){
if(r < pt || pt < l) return;
if(l == r && l == pt){
if(type == 0) st[i].val = st[i].prod = val;
else st[i].mx = val;
return;
}
int m = (l + r) >> 1;
update(l, m, pt, val, type, lc);
update(m + 1, r, pt, val, type, rc);
st[i].val = mul(st[lc].val, st[rc].val);
st[i].prod = min(st[lc].prod * st[rc].prod, MAX + 1LL);
st[i].mx = max(st[lc].mx, st[rc].mx);
}
int query(int l, int r, int ls, int rs, int i){
if(r < ls || rs < l) return 1;
if(ls <= l && r <= rs) return st[i].val;
int m = (l + r) >> 1;
return mul(query(l, m, ls, rs, lc), query(m + 1, r, ls, rs, rc));
}
long long queryProd(int l, int r, int ls, int rs, int i){
if(r < ls || rs < l) return 1;
if(ls <= l && r <= rs) return st[i].prod;
int m = (l + r) >> 1;
return min(queryProd(l, m, ls, rs, lc) * queryProd(m + 1, r, ls, rs, rc), MAX + 1LL);
}
long long queryMax(int l, int r, int ls, int rs, int i){
if(r < ls || rs < l) return 0;
if(ls <= l && r <= rs) return st[i].mx;
int m = (l + r) >> 1;
return max(queryMax(l, m, ls, rs, lc), queryMax(m + 1, r, ls, rs, rc));
}
int GetNext(int idx){
int l = idx, r = n - 1;
while(l <= r){
int m = (l + r) >> 1;
if(queryProd(0, n - 1, idx, m, 1) == x[idx]) l = m + 1;
else r = m - 1;
}
return r;
}
int GetValue(){
int idx = 0;
int l = 0, r = n - 1;
while(l <= r){
int m = (l + r) >> 1;
if(queryProd(0, n - 1, m, n - 1, 1) == MAX + 1) l = m + 1;
else r = m - 1;
}
idx = max(0, r);
long long pr = 1;
int optVal = 0, opt;
while(true){
int nxt = GetNext(idx);
pr *= x[idx];
int yval = queryMax(0, n - 1, idx, nxt, 1);
if(optVal < pr * yval){
opt = idx;
optVal = yval;
pr = 1;
}
idx = nxt + 1;
if(idx == n) break;
}
return mul(query(0, n - 1, 0, opt, 1), optVal);
}
int init(int N, int X[], int Y[]) {
n = N;
x.insert(x.begin(), X, X + N);
y.insert(y.begin(), Y, Y + N);
for(int i = 0; i < n; i++) update(0, n - 1, i, x[i], 0, 1);
for(int i = 0; i < n; i++) update(0, n - 1, i, y[i], 1, 1);
// cerr << GetNext(0) << "\n";
return GetValue();
}
int updateX(int pos, int val) {
x[pos] = val;
update(0, n - 1, pos, val, 0, 1);
return GetValue();
}
int updateY(int pos, int val) {
y[pos] = val;
update(0, n - 1, pos, val, 1, 1);
return GetValue();
}
