#include "seats.h"
#include <bits/stdc++.h>
#define IO_OP std::ios::sync_with_stdio(0); std::cin.tie(0);
#define F first
#define S second
#define V vector
#define PB push_back
#define EB emplace_back
#define MP make_pair
#define SZ(v) int((v).size())
#define ALL(v) (v).begin(), (v).end()
using namespace std;
typedef long long ll;
typedef pair<int, int> pi;
typedef V<int> vi;
const int INF = 1e9 + 7, N = 1e6 + 7;
int H, W;
namespace DS {
pi t[N * 4];
int lz[N * 4];
void apply(int v, int x) {
lz[v] += x;
t[v].F += x;
}
void push(int v) {
apply(v * 2, lz[v]);
apply(v * 2 + 1, lz[v]);
lz[v] = 0;
}
pi add(pi a, pi b) {
if(a.F != b.F) return min(a, b);
a.S += b.S;
return a;
}
void build(int v = 1, int tl = 0, int tr = H * W) {
if(tr - tl == 1) {
t[v] = {0, 1};
return;
}
int tm = (tl + tr) / 2;
build(v * 2, tl, tm);
build(v * 2 + 1, tm, tr);
t[v] = add(t[v * 2], t[v * 2 + 1]);
}
void upd(int l, int r, int x, int v = 1, int tl = 0, int tr = H * W) {
if(l <= tl && tr <= r) {
apply(v, x);
return;
}
push(v);
int tm = (tl + tr) / 2;
if(l < tm) upd(l, r, x, v * 2, tl, tm);
if(r > tm) upd(l, r, x, v * 2 + 1, tm, tr);
t[v] = add(t[v * 2], t[v * 2 + 1]);
}
}
V<vi> a;
vi R, C;
void upd(int i, int j, int op) {
int aux[] = {a[i][j], a[i + 1][j], a[i][j + 1], a[i + 1][j + 1]};
sort(aux, aux + 4);
if(aux[0] < aux[1]) DS::upd(aux[0], aux[1], op);//, cerr << aux[0] << " " << aux[1] << " " << op << endl;
if(aux[2] < aux[3]) DS::upd(aux[2], aux[3], op);//, cerr << aux[2] << " " << aux[3] << " " << op << endl;
}
void set_val(int i, int j, int x) {
upd(i - 1, j - 1, -1);
upd(i, j - 1, -1);
upd(i - 1, j, -1);
upd(i, j, -1);
a[i][j] = x;
upd(i - 1, j - 1, 1);
upd(i, j - 1, 1);
upd(i - 1, j, 1);
upd(i, j, 1);
}
void give_initial_chart(int _H, int _W, vi _R, vi _C) {
H = _H, W = _W, R = _R, C = _C;
a = V<vi> (H + 2, vi(W + 2, H * W));
for(int i = 0; i < SZ(R); i++) {
++R[i], ++C[i];
a[R[i]][C[i]] = i;
}
DS::build();
for(int i = 0; i <= H; i++)
for(int j = 0; j <= W; j++)
upd(i, j, 1);
}
int swap_seats(int x, int y) {
int val_x = a[R[x]][C[x]];
int val_y = a[R[y]][C[y]];
set_val(R[x], C[x], val_y);
set_val(R[y], C[y], val_x);
swap(R[x], R[y]), swap(C[x], C[y]);
return DS::t[1].S;
}
