Problem p02549 (C++) — buggy submission, verdict: Runtime Error

#include <bits/stdc++.h>
#define LOCAL
using namespace std;
template <typename A, typename B>
ostream &operator<<(ostream &out, const pair<A, B> &a) {
  out << "(" << a.first << "," << a.second << ")";
  return out;
}
template <typename T, size_t N>
ostream &operator<<(ostream &out, const array<T, N> &a) {
  out << "[";
  bool first = true;
  for (auto &v : a) {
    out << (first ? "" : ", ");
    out << v;
    first = 0;
  }
  out << "]";
  return out;
}
template <typename T> ostream &operator<<(ostream &out, const vector<T> &a) {
  out << "[";
  bool first = true;
  for (auto &v : a) {
    out << (first ? "" : ", ");
    out << v;
    first = 0;
  }
  out << "]";
  return out;
}
template <typename T, class Cmp>
ostream &operator<<(ostream &out, const set<T, Cmp> &a) {
  out << "{";
  bool first = true;
  for (auto &v : a) {
    out << (first ? "" : ", ");
    out << v;
    first = 0;
  }
  out << "}";
  return out;
}
template <typename U, typename T, class Cmp>
ostream &operator<<(ostream &out, const map<U, T, Cmp> &a) {
  out << "{";
  bool first = true;
  for (auto &p : a) {
    out << (first ? "" : ", ");
    out << p.first << ":" << p.second;
    first = 0;
  }
  out << "}";
  return out;
}
#ifdef LOCAL
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
#else
#define trace(...) 42
#endif
template <typename Arg1> void __f(const char *name, Arg1 &&arg1) {
  cerr << name << ": " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char *names, Arg1 &&arg1, Args &&...args) {
  const char *comma = strchr(names + 1, ',');
  cerr.write(names, comma - names) << ": " << arg1 << " |";
  __f(comma + 1, args...);
}
#define rep(i, n) for (int i = 0; i < (n); i++)
using ll = long long;
#define int long long
using P = pair<int, int>;
// #########################################

const int mod = 998244353;
void add(int &a, int b) {
  a = (a + b) % mod;
  a = (a % mod + mod) % mod;
}
signed main() {
  int n, k;
  cin >> n >> k;
  vector<int> l(k), r(k);
  rep(i, k) cin >> l[i] >> r[i];
  vector<int> dp(n + 3);
  dp[1] = 1;
  add(dp[2], -1);
  int sum = 0;
  for (int i = 1; i <= n; i++) {
    add(sum, dp[i]);
    rep(j, k) {
      if (r[j] + 1 + i < n + 3)
        add(dp[r[j] + 1 + i], -sum);
      if (l[j] + i < n + 3)
        add(dp[l[j] + i], sum);
    }
    // trace(i,sum,dp);
  }
  for (int i = 1; i <= n; i++)
    add(dp[i + 1], dp[i]);

  cout << dp[n] << endl;
  return 0;
}

Error: 0

Fixed submission:

#include <bits/stdc++.h>
#define LOCAL
using namespace std;
template <typename A, typename B>
ostream &operator<<(ostream &out, const pair<A, B> &a) {
  out << "(" << a.first << "," << a.second << ")";
  return out;
}
template <typename T, size_t N>
ostream &operator<<(ostream &out, const array<T, N> &a) {
  out << "[";
  bool first = true;
  for (auto &v : a) {
    out << (first ? "" : ", ");
    out << v;
    first = 0;
  }
  out << "]";
  return out;
}
template <typename T> ostream &operator<<(ostream &out, const vector<T> &a) {
  out << "[";
  bool first = true;
  for (auto &v : a) {
    out << (first ? "" : ", ");
    out << v;
    first = 0;
  }
  out << "]";
  return out;
}
template <typename T, class Cmp>
ostream &operator<<(ostream &out, const set<T, Cmp> &a) {
  out << "{";
  bool first = true;
  for (auto &v : a) {
    out << (first ? "" : ", ");
    out << v;
    first = 0;
  }
  out << "}";
  return out;
}
template <typename U, typename T, class Cmp>
ostream &operator<<(ostream &out, const map<U, T, Cmp> &a) {
  out << "{";
  bool first = true;
  for (auto &p : a) {
    out << (first ? "" : ", ");
    out << p.first << ":" << p.second;
    first = 0;
  }
  out << "}";
  return out;
}
#ifdef LOCAL
#define trace(...) __f(#__VA_ARGS__, __VA_ARGS__)
#else
#define trace(...) 42
#endif
template <typename Arg1> void __f(const char *name, Arg1 &&arg1) {
  cerr << name << ": " << arg1 << endl;
}
template <typename Arg1, typename... Args>
void __f(const char *names, Arg1 &&arg1, Args &&...args) {
  const char *comma = strchr(names + 1, ',');
  cerr.write(names, comma - names) << ": " << arg1 << " |";
  __f(comma + 1, args...);
}
#define rep(i, n) for (int i = 0; i < (n); i++)
using ll = long long;
#define int long long
using P = pair<int, int>;
// #########################################

const int mod = 998244353;
void add(int &a, int b) {
  a = (a + b) % mod;
  a = (a % mod + mod) % mod;
}
signed main() {
  int n, k;
  cin >> n >> k;
  vector<int> l(k), r(k);
  rep(i, k) cin >> l[i] >> r[i];
  vector<int> dp(n + 3);
  dp[1] = 1;
  add(dp[2], -1);
  int sum = 0;
  for (int i = 1; i <= n; i++) {
    add(sum, dp[i]);
    rep(j, k) {
      add(dp[r[j] + 1 + i], -sum);
      add(dp[l[j] + i], sum);
    }
    // trace(i,sum,dp);
  }
  for (int i = 1; i <= n; i++)
    add(dp[i + 1], dp[i]);

  cout << dp[n] << endl;
  return 0;
}