Problem p02599 (C++) — buggy submission, verdict: Time Limit Exceeded

#include <algorithm>
#include <iostream>
#include <vector>
using namespace std;

template <class Abel> struct BIT {
  vector<Abel> dat[2];
  Abel UNITY_SUM = 0; // to be set

  /* [1, n] */
  BIT(int n) { init(n); }
  void init(int n) {
    for (int iter = 0; iter < 2; ++iter)
      dat[iter].assign(n + 1, UNITY_SUM);
  }

  /* a, b are 1-indexed, [a, b) */
  inline void sub_add(int p, int a, Abel x) {
    for (int i = a; i < (int)dat[p].size(); i += i & -i)
      dat[p][i] = dat[p][i] + x;
  }
  inline void add(int a, int b, Abel x) {
    sub_add(0, a, x * -(a - 1));
    sub_add(1, a, x);
    sub_add(0, b, x * (b - 1));
    sub_add(1, b, x * (-1));
  }

  /* a is 1-indexed, [a, b) */
  inline Abel sub_sum(int p, int a) {
    Abel res = UNITY_SUM;
    for (int i = a; i > 0; i -= i & -i)
      res = res + dat[p][i];
    return res;
  }
  inline Abel sum(int a, int b) {
    return sub_sum(0, b - 1) + sub_sum(1, b - 1) * (b - 1) - sub_sum(0, a - 1) -
           sub_sum(1, a - 1) * (a - 1);
  }

  /* debug */
  void print() {
    for (int i = 1; i < (int)dat[0].size(); ++i)
      cout << sum(i, i + 1) << ",";
    cout << endl;
  }
};

int main() {
  int N;
  cin >> N;
  int Q;
  cin >> Q;
  vector<int> a(N);
  for (int i = 0; i < N; ++i)
    cin >> a[i];
  vector<int> lefts(Q), rights(Q), ids(Q);
  for (int i = 0; i < Q; ++i) {
    cin >> lefts[i] >> rights[i];
    --lefts[i];
    ids[i] = i;
  }
  sort(ids.begin(), ids.end(),
       [&](int i, int j) { return rights[i] < rights[j]; });

  BIT<int> bit(N + 5);
  vector<int> prev(1100000, -1);
  vector<int> res(Q, 0);
  int r = 0;
  for (auto i : ids) {
    for (; r < rights[i]; ++r) {
      bit.add(prev[a[r]] + 2, r + 2, 1);
      prev[a[r]] = r;
    }
    int tmp = bit.sum(lefts[i] + 1, lefts[i] + 2);
    res[i] = max(res[i], tmp);
  }
  for (int i = 0; i < Q; ++i)
    cout << res[i] << endl;
}

Error: TLE

Fixed submission:

#include <algorithm>
#include <assert.h>
#include <bitset>
#include <chrono>
#include <cstdio>
#include <ctime>
#include <deque>
#include <iostream>
#include <map>
#include <numeric>
#include <queue>
#include <random>
#include <stack>
#include <vector>
using namespace std;
typedef long long int ll;
typedef unsigned long long ull;

struct Mo {
  vector<int> left, right, order;
  vector<bool> v;
  int width;
  int nl, nr, ptr;

  Mo(int n) : width((int)sqrt(n)), nl(0), nr(0), ptr(0), v(n) {}

  void insert(int l, int r) /* [l, r) */
  {
    left.push_back(l);
    right.push_back(r);
  }

  /* ソート */
  void build() {
    order.resize(left.size());
    iota(begin(order), end(order), 0);
    sort(begin(order), end(order), [&](int a, int b) {
      if (left[a] / width != left[b] / width)
        return left[a] < left[b];
      return right[a] < right[b];
    });
  }

  /* クエリを 1 つぶんすすめて, クエリのidを返す */
  int process() {
    if (ptr == order.size())
      return (-1);
    const auto id = order[ptr];
    while (nl > left[id])
      distribute(--nl);
    while (nr < right[id])
      distribute(nr++);
    while (nl < left[id])
      distribute(nl++);
    while (nr > right[id])
      distribute(--nr);
    return (order[ptr++]);
  }

  inline void distribute(int idx) {
    v[idx].flip();
    if (v[idx])
      add(idx);
    else
      del(idx);
  }

  void add(int idx);

  void del(int idx);
};

int N, A[500001], Q;
int ans[500001];
int cnt[500001], sum = 0;

void Mo::add(int idx) {
  if (cnt[A[idx]]++ == 0)
    ++sum;
}

void Mo::del(int idx) {
  if (--cnt[A[idx]] == 0)
    --sum;
}

int main() {
  cin.tie(nullptr);
  ios::sync_with_stdio(false);
  cin >> N >> Q;
  for (int i = 0; i < N; i++) {
    cin >> A[i];
  }
  Mo mo(N);
  for (int i = 0; i < Q; i++) {
    int a, b;
    cin >> a >> b;
    a--;
    mo.insert(a, b);
  }
  mo.build();
  for (int i = 0; i < Q; i++) {
    int p = mo.process();
    ans[p] = sum;
  }
  for (int i = 0; i < Q; i++) {
    printf("%d\\n", ans[i]);
  }
}