#include "seats.h"
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;

const int maxn = 1e6 + 12;

pair<int, int> t[maxn * 4];
int p[maxn * 4];
int r[maxn], c[maxn];
int a[maxn];
int n, m;

pair<int, int> operator + (pair<int, int> x, pair<int, int> y) {
    if(x.first == y.first) {
        return {x.first, x.second + y.second};
    }
    return min(x, y);
}

void build(int v, int tl, int tr) {
    if(tl == tr) {
        t[v] = {tl - 1, 1};
        return;
    }
    int mid = (tl + tr) >> 1;
    build(v * 2, tl, mid);
    build(v * 2 + 1, mid + 1, tr);
    t[v] = t[v * 2] + t[v * 2 + 1];
}

void push(int v, int tl, int tr) {
    if(tl == tr) return;
    t[v * 2].first += p[v];
    t[v * 2 + 1].first += p[v];
    p[v * 2] += p[v], p[v * 2 + 1] += p[v];
    p[v] = 0;
}

void upd(int v, int tl, int tr, int l, int r, int x) {
    push(v, tl, tr);
    if(tl > r || l > tr) return;
    if(tl >= l && tr <= r) {
        t[v].first += x;
        p[v] += x;
        return;
    }

    int mid = (tl + tr) >> 1;
    upd(v * 2, tl, mid, l, r, x);
    upd(v * 2 + 1, mid + 1, tr, l, r, x);
    t[v] = t[v * 2] + t[v * 2 + 1];
}

void upd(int i, int x) {
    if(i > 1) {
        upd(1, 1, n, max(a[i], a[i - 1]), n, x);
    }
    if(i < n) {
        upd(1, 1, n, max(a[i], a[i + 1]), n, x);
    }
}

pair<int, int> get(int v, int tl, int tr, int l, int r) {
    if(tl > r || l > tr) return {1e9, 0};
    if(tl >= l && tr <= r) return t[v];
    int mid = (tl + tr) >> 1;
    return get(v * 2, tl, mid, l, r) + get(v * 2 + 1, mid + 1, tr, l, r);
}

void give_initial_chart(int H, int W, std::vector<int> R, std::vector<int> C) {
    n = W;
    for(int i = 1; i <= n; i++) {
        r[i] = C[i - 1] + 1;
        a[r[i]] = i;
    }
    build(1, 1, n);
    for(int i = 1; i < n; i++) {
        upd(1, 1, n, max(a[i], a[i + 1]), n, -1);
    }
}

int swap_seats(int i, int j) {
    i++, j++;
    if(i > j) swap(i, j);

    upd(r[i], 1), upd(r[j], 1);
    swap(r[i], r[j]);
    a[r[i]] = i;
    a[r[j]] = j;
    upd(r[i], -1), upd(r[j], -1);

    return t[1].second;
}