#include <seats.h>
#include <bits/stdc++.h>
#define chkmax(a, b) a = max(a, (b))
#define chkmin(a, b) a = min(a, (b))
#define pii pair<int, int>
#define fr first
#define sc second
using namespace std;
const int INF = 0x3f3f3f3f;
const int N = 1e6 + 5;
int r[N], c[N];
int ourH, ourW;
struct node {
int mn, mx;
node() {
mn = INF;
mx = -INF;
}
};
struct Tree {
vector <node> tree;
Tree() {
tree.resize(1e6 * 4);
}
void upd(int pos, int val, int v = 1, int tl = 1, int tr = 1e6) {
if (tl == tr) {
tree[v].mn = tree[v].mx = val;
return;
}
int mid = tl + tr >> 1;
if (pos <= mid) {
upd(pos, val, v + v, tl, mid);
}
else {
upd(pos, val, v + v + 1, mid + 1, tr);
}
tree[v].mn = min(tree[v + v].mn, tree[v + v + 1].mn);
tree[v].mx = max(tree[v + v].mx, tree[v + v + 1].mx);
}
pii merge(pii a, pii b) {
return { min(a.fr, b.fr), max(a.sc, b.sc) };
}
pii getpair(int l, int r, int v = 1, int tl = 1, int tr = 1e6) {
if (l <= tl && tr <= r) {
return { tree[v].mn, tree[v].mx };
}
if (l > tr || tl > r) {
return { INF, -INF };
}
int mid = tl + tr >> 1;
return merge(getpair(l, r, v + v, tl, mid), getpair(l, r, v + v + 1, mid + 1, tr));
}
int get(int l, int r, int type, int v = 1, int tl = 1, int tr = 1e6) {
if (l <= tl && tr <= r) {
if (type == 1) {
return tree[v].mn;
}
else {
return tree[v].mx;
}
}
if (l > tr || tl > r) {
if (type == 1) {
return INF;
}
else {
return -INF;
}
}
int mid = tl + tr >> 1;
int lft = get(l, r, type, v + v, tl, mid);
int rgt = get(l, r, type, v + v + 1, mid + 1, tr);
if (type == 1) {
return min(lft, rgt);
}
else {
return max(lft, rgt);
}
}
} rows, columns;
void give_initial_chart(int H, int W, std::vector<int> R, std::vector<int> C) {
for (int i = 0; i < H * W; i++) {
r[i + 1] = R[i] + 1;
c[i + 1] = C[i] + 1;
}
ourH = H;
ourW = W;
for (int i = 1; i <= H * W; i++) {
rows.upd(i, r[i]);
columns.upd(i, c[i]);
}
}
int subtask3(int a, int b) {
a++, b++;
swap(r[a], r[b]);
swap(c[a], c[b]);
rows.upd(a, r[a]);
columns.upd(a, c[a]);
rows.upd(b, r[b]);
columns.upd(b, c[b]);
int ans = 1;
node R, C;
R.mn = R.mx = r[1];
C.mn = C.mx = c[1];
int pos = 2;
while (pos <= ourH * ourW) {
chkmin(R.mn, r[pos]);
chkmax(R.mx, r[pos]);
chkmin(C.mn, c[pos]);
chkmax(C.mx, c[pos]);
int l = pos, r = ourH * ourW + 1;
while (r - l > 1) {
int mid = l + r >> 1;
bool ok = 1;
ok &= (rows.getpair(1, mid) == make_pair(R.mn, R.mx));
ok &= (columns.getpair(1, mid) == make_pair(C.mn, C.mx));
if (ok) {
l = mid;
}
else {
r = mid;
}
}
pii res1 = rows.getpair(1, l);
pii res2 = columns.getpair(1, l);
if ((res1.sc - res1.fr + 1) + (res2.sc - res2.fr + 1) == l) {
ans++;
}
pos = l + 1;
}
return ans;
}
int swap_seats(int a, int b) { // answer after swap
if (ourH * ourW <= 10000) {
int ans = 0;
a++, b++;
swap(r[a], r[b]);
swap(c[a], c[b]);
node R, C;
for (int i = 1; i <= ourH * ourW; i++) {
chkmin(R.mn, r[i]);
chkmax(R.mx, r[i]);
chkmin(C.mn, c[i]);
chkmax(C.mx, c[i]);
if ((R.mx - R.mn + 1) * (C.mx - C.mn + 1) == i) {
ans++;
}
}
return ans;
}
if (ourH <= 1000 && ourW <= 1000) {
return subtask3(a, b);
}
assert(false);
}
//signed main() {
// vector <int> vecC, vecR;
// int h, w;
// cin >> h >> w;
// vecC.resize(h * w);
// vecR.resize(h * w);
// for (int i = 0; i < h * w; i++) {
// cin >> vecR[i] >> vecC[i];
// }
//
// give_initial_chart(h, w, vecR, vecC);
// int Q;
// cin >> Q;
// while (Q--) {
// int a, b;
// cin >> a >> b;
// cout << swap_seats(a, b) << endl;
// }
//}
