#include "game.h"
#include <bits/stdc++.h>
using namespace std;
const int MXN = 2e3 + 5;
int n, m;
long long t[MXN << 2][MXN << 2];
void init(int R, int C) {
n = R, m = C;
}
long long sum_y(int vx, int vy, int tly, int try_, int ly, int ry) {
if (ly > ry)
return 0;
if (ly == tly && try_ == ry)
return t[vx][vy];
int tmy = (tly + try_) / 2;
return gcd(sum_y(vx, vy*2, tly, tmy, ly, min(ry, tmy)), sum_y(vx, vy*2+1, tmy+1, try_, max(ly, tmy+1), ry));
}
long long sum_x(int vx, int tlx, int trx, int lx, int rx, int ly, int ry) {
if (lx > rx)
return 0;
if (lx == tlx && trx == rx)
return sum_y(vx, 1, 0, m-1, ly, ry);
int tmx = (tlx + trx) / 2;
return gcd(sum_x(vx*2, tlx, tmx, lx, min(rx, tmx), ly, ry), sum_x(vx*2+1, tmx+1, trx, max(lx, tmx+1), rx, ly, ry));
}
void update_y(int vx, int lx, int rx, int vy, int ly, int ry, int x, int y, long long new_val) {
if (ly == ry) {
if (lx == rx)
t[vx][vy] = new_val;
else
t[vx][vy] = gcd(t[vx*2][vy], t[vx*2+1][vy]);
} else {
int my = (ly + ry) / 2;
if (y <= my)
update_y(vx, lx, rx, vy*2, ly, my, x, y, new_val);
else
update_y(vx, lx, rx, vy*2+1, my+1, ry, x, y, new_val);
t[vx][vy] = gcd(t[vx][vy*2], t[vx][vy*2+1]);
}
}
void update_x(int vx, int lx, int rx, int x, int y, long long new_val) {
if (lx != rx) {
int mx = (lx + rx) / 2;
if (x <= mx)
update_x(vx*2, lx, mx, x, y, new_val);
else
update_x(vx*2+1, mx+1, rx, x, y, new_val);
}
update_y(vx, lx, rx, 1, 0, m-1, x, y, new_val);
}
void update(int P, int Q, long long K) {
update_x(1, 0, n - 1, P, Q, K);
}
long long calculate(int P, int Q, int U, int V) {
return sum_x(1, 0, n - 1, P, U, Q, V);
}
