#include <bits/stdc++.h>
#include "seats.h"
//#include "grader.cpp"
using namespace std;
const int N = 1000001;
int n, m, mnx[N], mny[N], mxx[N], mxy[N], pref[N], suff[N];
vector <int> x, y;
bool check(int g){
return (mxx[g] - mnx[g] + 1) * (mxy[g] - mny[g] + 1) == g + 1;
}
void update(int i){
mnx[i] = i == 0 ? x[i] : min(x[i], mnx[i - 1]);
mxx[i] = i == 0 ? x[i] : max(x[i], mxx[i - 1]);
mny[i] = i == 0 ? y[i] : min(y[i], mny[i - 1]);
mxy[i] = i == 0 ? y[i] : max(y[i], mxy[i - 1]);
}
void give_initial_chart(int H, int W, std::vector<int> R, std::vector<int> C) {
n = H;
m = W;
x = R;
y = C;
for(int i = 0 ; i < n * m ; i++){
update(i);
pref[i] = check(i) + (i == 0 ? 0 : pref[i - 1]);
}
for(int i = n * m - 1 ; i >= 0 ; i--){
suff[i] = check(i) + (i == n * m - 1 ? 0 : suff[i + 1]);
}
}
int swap_seats(int a, int b) {
if(a > b) swap(a, b);
swap(x[a], x[b]);
swap(y[a], y[b]);
int ret = (a == 0 ? 0 : pref[a - 1]) + (b == n * m + 1 ? 0 : suff[b + 1]);
for(int i = a ; i <= b ; i++){
update(i);
ret += check(i);
pref[i] = check(i) + (i == 0 ? 0 : pref[i - 1]);
}
for(int i = b ; i >= a ; i--){
suff[i] = check(i) + (i == n * m - 1 ? 0 : suff[i + 1]);
}
return ret;
}
