This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include "game.h"
#include <bits/stdc++.h>
#define endl "\n"
#define F first
#define S second
#define pb push_back
#define all(x) x.begin() , x.end()
#define mm(dp , val) memset (dp , val , sizeof dp)
#define mid ((r+l)>>1)
#define lx (n<<1)
#define rx ((n<<1)|1)
#define low (i&(-i))
#define lb lower_bound
#define ub upper_bound
#define no void (cout << "NO" << endl)
#define one void (cout << "-1" << endl)
#define zer void (cout << "0" << endl)
#define yes void (cout << "YES" << endl)
typedef long long ll;
using namespace std;
const int logn = 26 ;
const int N = 5e3+5;
ll dx[] = {0 , 0 , 1 , -1};
ll dy[] = {1 , -1 , 0 , 0};
long long gcd2(long long X, long long Y)
{
    if (!X || !Y)
        return max(X , Y) ;
    long long tmp;
    while (X != Y && Y != 0) {
        tmp = X;
        X = Y;
        Y = tmp % Y;
    }
    return X;
}
ll n , m ;
struct seg_tree
{
    ll gcd[N] ;
    void upd (ll n , ll l , ll r , ll i , ll v)
    {
        if (l == r)
        {
            gcd[n] = v ;
            return ;
        }
        if (i <= mid)
            upd(lx , l , mid , i , v) ;
        else
            upd(rx , mid+1 , r , i , v) ;
        gcd[n] = gcd2(gcd[lx] , gcd[rx]) ;
    }
    ll qry (ll n , ll l , ll r , ll x , ll y)
    {
        if (l > y || r < x)
            return 0  ;
        if (x <= l && r <= y)
            return gcd[n] ;
        if (y <= mid)
            return qry(lx , l , mid , x , y) ;
        if (x > mid)
            return qry(rx , mid+1 , r , x , y) ;
        ll le = qry(lx , l , mid , x , y) ;
        ll ri = qry(rx , mid+1 , r , x , y) ;
        return gcd2(le , ri) ;
    }
} tree[102] ;
seg_tree merge (seg_tree a1 , seg_tree a2)
{
    seg_tree ret ;
    for (int i = 0 ; i<N ; i++)
        ret.gcd[i] = gcd2(a1.gcd[i] , a2.gcd[i]) ;
    return ret ;
}
struct d2_seg
{
    seg_tree seg[N] ;
    void update (ll n , ll l , ll r , ll x , ll y , ll v)
    {
        if (l == r)
        {
            seg[n].upd(1 , 0 , m-1 , y , v) ;
            return ;
        }
        if (x <= mid)
            update (lx , l , mid , x , y , v) ;
        else
            update (rx , mid+1 , r , x , y , v) ;
        seg[n] = merge(seg[lx] , seg[rx]) ;
    }
    ll query (ll n , ll l , ll r , ll x1 , ll y1 , ll x2 , ll y2)
    {
        if (l > x2 || r < x1)
            return 0 ;
        if (x1 <= l && r <= x2)
            return seg[n].qry(1 , 0 , m-1 , y1 , y2);
        ll le = query(lx , l , mid , x1 , y1 , x2 , y2) ;
        ll ri = query(rx , mid+1 , r , x1 , y1 , x2 , y2) ;
        return gcd2(le , ri) ;
    }
} mat ;
ll get (ll x1 , ll y1 , ll x2 , ll y2)
{
    ll ret = 0 ;
    for (int i = x1 ; i<=x2 ; i++)
        ret = gcd2(ret , tree[i].qry (1 , 0 , m-1 , y1 , y2));
    return ret ;
}
void init(int R, int C) {
   n = R , m = C ;
}
void update(int P, int Q, long long K)
{
    tree[P].upd(1 , 0 , m-1 , Q , K) ;
    mat.update (1 , 0 , n-1 , P , Q , K) ;
}
long long calculate(int P, int Q, int U, int V) {
    if (n <= 10)
        return get(P , Q , U , V) ;
    return mat.query (1 , 0 , n-1 , P , Q , U , V) ;
}
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