Problem p02549 (C++) — buggy submission, verdict: Time Limit Exceeded

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vvvi = vector<vector<vector<int>>>;
using vl = vector<ll>;
using vvl = vector<vector<ll>>;
using vvvl = vector<vector<vector<ll>>>;
using vs = vector<string>;
using vb = vector<bool>;
#define FOR(i, m, n) for (int i = (m); i < (n); i++)
#define FORR(i, m, n) for (int i = (m); i >= (n); i--)
#define REP(i, n) FOR(i, 0, (n))
#define REPR(i, n) FORR(i, (n)-1, 0)
#define REP1(i, n) FOR(i, 1, (n) + 1)
#define REPS(c, s) for (char c : s)
#define ALL(c) (c).begin(), (c).end()
#define SORT(c) sort(ALL(c))
#define REV(c) reverse(ALL(c))
#define sz(v) (int)v.size()
#define endl '\\n'
template <class T> inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T> inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <class T> inline void prn(vector<T> &v) {
  int n = sz(v);
  REP(i, n) cout << v[i] << ' ';
}
template <class T> inline void printv(vector<T> &v) {
  int n = sz(v);
  REP(i, n) cout << v[i] << (i == n - 1 ? endl : ' ');
}
template <class T> inline void printvv(vector<vector<T>> &v) {
  for (auto u : v)
    printv(u);
}
template <class T> inline void printlnv(vector<T> &v) {
  int n = sz(v);
  REP(i, n) cout << v[i] << endl;
}
const int MOD = 1000000007;
const int INF = 1000000001;
const ll LINF = 1000000001000000001LL;

void solve();

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cout << fixed << setprecision(numeric_limits<double>::max_digits10);
  solve();
  return 0;
}

void solve() {
  int n, k;
  cin >> n >> k;
  vi l(k);
  vi r(k);
  REP(i, k) cin >> l[i] >> r[i];
  vi dp(n + 1, 0);
  dp[1] = 1;
  dp[2] = -1;
  REP1(i, n) {
    dp[i] += dp[i - 1];
    dp[i] %= 998244353;
    REP(j, k) {
      if (i + l[j] <= n) {
        dp[i + l[j]] += dp[i];
        dp[i + l[j]] %= 998244353;
      }
      if (i + r[j] + 1 <= n) {
        dp[i + r[j] + 1] -= dp[i];
        dp[i + r[j] + 1] += 998244353;
        dp[i + r[j] + 1] %= 998244353;
      }
    }
  }
  cout << dp[n] << endl;
}


Error: TLE

Fixed submission:

#include <bits/stdc++.h>
using namespace std;

using ll = long long;
using ld = long double;
using vi = vector<int>;
using vvi = vector<vector<int>>;
using vvvi = vector<vector<vector<int>>>;
using vl = vector<ll>;
using vvl = vector<vector<ll>>;
using vvvl = vector<vector<vector<ll>>>;
using vs = vector<string>;
using vb = vector<bool>;
#define FOR(i, m, n) for (int i = (m); i < (n); i++)
#define FORR(i, m, n) for (int i = (m); i >= (n); i--)
#define REP(i, n) FOR(i, 0, (n))
#define REPR(i, n) FORR(i, (n)-1, 0)
#define REP1(i, n) FOR(i, 1, (n) + 1)
#define REPS(c, s) for (char c : s)
#define ALL(c) (c).begin(), (c).end()
#define SORT(c) sort(ALL(c))
#define REV(c) reverse(ALL(c))
#define sz(v) (int)v.size()
#define endl '\\n'
template <class T> inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return true;
  }
  return false;
}
template <class T> inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return true;
  }
  return false;
}
template <class T> inline void prn(vector<T> &v) {
  int n = sz(v);
  REP(i, n) cout << v[i] << ' ';
}
template <class T> inline void printv(vector<T> &v) {
  int n = sz(v);
  REP(i, n) cout << v[i] << (i == n - 1 ? endl : ' ');
}
template <class T> inline void printvv(vector<vector<T>> &v) {
  for (auto u : v)
    printv(u);
}
template <class T> inline void printlnv(vector<T> &v) {
  int n = sz(v);
  REP(i, n) cout << v[i] << endl;
}
const int MOD = 1000000007;
const int INF = 1000000001;
const ll LINF = 1000000001000000001LL;

void solve();

int main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  cout << fixed << setprecision(numeric_limits<double>::max_digits10);
  solve();
  return 0;
}

void solve() {
  int n, k;
  cin >> n >> k;
  set<int> x;
  REP(i, k) {
    int l, r;
    cin >> l >> r;
    for (int i = l; i <= r; i++) {
      x.emplace(i);
    }
  }
  vi dp(n + 1, 0);
  dp[1] = 1;
  for (int i = 2; i <= n; i++) {
    for (auto v : x) {
      if (i - v < 1)
        break;
      dp[i] += dp[i - v];
      dp[i] %= 998244353;
    }
  }
  cout << dp[n] << endl;
}