#include "seats.h"
#include <bits/stdc++.h>
#pragma GCC optimize("O3")
using namespace std;
typedef long long ll;
typedef long double ld;
#define sp <<" "<<
#define endl "\n"
const int INF = 1e9;
struct segtree {
int l, r;
int mn, mx;
segtree *left, *right;
void merge() {
mn = min(left->mn, right->mn);
mx = max(left->mx, right->mx);
}
segtree(int l, int r, vector<int> &a) : l(l), r(r) {
if (l == r) {
mn = mx = a[l];
return;
}
int m = (l+r) / 2;
left = new segtree(l, m, a);
right = new segtree(m+1, r, a);
merge();
}
void update(int ind, int upd) {
if (l == r) {
mn = mx = upd;
return;
}
int m = (l+r) / 2;
if (ind <= m) left->update(ind, upd);
else right->update(ind, upd);
merge();
}
pair<int, int> query(int ql, int qr) {
if (ql > r or qr < l) return {INF, -INF};
if (ql <= l and r <= qr) return {mn, mx};
auto [mnl, mxl] = left->query(ql, qr);
auto [mnr, mxr] = right->query(ql, qr);
return {min(mnl, mnr), max(mxl, mxr)};
}
};
int h, w;
vector<int> r, c;
segtree *str, *stc;
void give_initial_chart(int H, int W, vector<int> R, vector<int> C) {
h = H, w = W, r = R, c = C;
// r = vector<ll>(R.begin(), R.end());
// c = vector<ll>(C.begin(), C.end());
str = new segtree(0, h*w-1, r);
stc = new segtree(0, h*w-1, c);
}
inline int calc(int r1, int c1, int r2, int c2) {
int he = r2 - r1 + 1, we = c2 - c1 + 1;
int amt = he * we;
return amt;
}
int swap_seats(int a, int b) {
// perform swap
{
swap(r[a], r[b]);
swap(c[a], c[b]);
str->update(a, r[a]);
str->update(b, r[b]);
stc->update(a, c[a]);
stc->update(b, c[b]);
}
// count
int res = 0;
int r1, c1, r2, c2;
r1 = r2 = r[0];
c1 = c2 = c[0];
res += calc(r1, c1, r2, c2) == 1;
int i = 1;
while (i < h * w) {
auto [mnr, mxr] = str->query(0, i);
r1 = min(r1, mnr);
r2 = max(r2, mxr);
auto [mnc, mxc] = stc->query(0, i);
c1 = min(c1, mnc);
c2 = max(c2, mxc);
int que = calc(r1, c1, r2, c2);
if (que == i+1) {
res++;
i++;
} else {
i = que - 1;
}
}
return res;
}
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