#include "game.h"
#define here cerr<<"===========================================\n"
#define dbg(x) cerr<<#x<<": "<<x<<endl;
#include <bits/stdc++.h>
#define ld long long
#define ll int
#define ull unsigned long long
#define llinf 100000000000000000LL // 10^17
#define iinf 2000000000 // 2*10^9
#define pb push_back
#define eb emplace_back
#define popb pop_back
#define fi first
#define sc second
#define endl '\n'
#define pii pair<int,int>
#define pll pair<ll,ll>
#define pld pair<ld,ld>
#define all(a) a.begin(),a.end()
#define ceri(a,l,r) {cerr<<#a<<": ";for(ll i_ = l;i_<=r;i_++) cerr<<a[i_]<< " ";cerr<<endl;}
#define cer(a) {cerr<<#a<<": ";for(ll x_ : a) cerr<<x_<< " ";cerr<<endl;}
#define si(a) (ll)(a.size())
using namespace std;
ld gcd(ld x,ld y){
if(y>x) swap(x,y);
if(y==0) return x;
return gcd(y,x%y);
}
const ll maxx = 10000005;
const ld mc = 1000000000;
ll t[maxx],ls[maxx],rs[maxx],tsz = 0,root = 0;
ld t2[maxx];
ld get2(ll v,ll tl,ll tr,ll l,ll r){
if(!v) return 0;
if(tl>tr||tl>r||l>r||l>tr) return 0;
if(tl>=l&&tr<=r) return t2[v];
ll mid = (tl+tr)/2;
return gcd(get2(ls[v],tl,mid,l,r),get2(rs[v],mid+1,tr,l,r));
}
ld get(ll v,ll tl,ll tr,ll l,ll r,ll x,ll y){
if(!v) return 0;
if(tl>tr||tl>r||l>tr||l>r) return 0;
if(tl>=l&&tr<=r) return get2(t[v],1,mc,x,y);
ll mid = (tl+tr)/2;
return gcd(get(ls[v],tl,mid,l,r,x,y),get(rs[v],mid+1,tr,l,r,x,y));
}
void upd2(ll &v,ll tl,ll tr,ll i,ld x){
if(!v) v = ++tsz;
if(tl==tr){t2[v] = x;return;}
ll mid = (tl+tr)/2;
if(i<=mid) upd2(ls[v],tl,mid,i,x);
else upd2(rs[v],mid+1,tr,i,x);
t2[v] = gcd(t2[ls[v]],t2[rs[v]]);
}
void upd(ll &v,ll tl,ll tr,ll x,ll y,ld val){
if(!v) v = ++tsz;
upd2(t[v],1,mc,y,gcd(val,gcd(get(root,1,mc,tl,x-1,y,y),get(root,1,mc,x+1,tr,y,y))));
if(tl==tr) return;
ll mid = (tl+tr)/2;
if(x<=mid) upd(ls[v],tl,mid,x,y,val);
else upd(rs[v],mid+1,tr,x,y,val);
}
void init(int R, int C) {
}
void update(int P, int Q, long long K) {
P++;
Q++;
upd(root,1,mc,P,Q,K);
if(tsz>maxx){
while(1) here;
}
}
long long calculate(int P, int Q, int U, int V) {
P++;
Q++;
U++;
V++;
if(P>U) swap(U,P);
if(Q>V) swap(Q,V);
ld ans = get(root,1,mc,P,U,Q,V);
if(tsz>maxx){
while(1) here;
}
return ans;
}
