Problem p02549 (C++)

Buggy submission (status: Runtime Error):
#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); ++i)
using namespace std;
using ll = long long;
using P = pair<int, int>;
#define chmax(x, y) x = max(x, y);
#define chmin(x, y) x = min(x, y);
const int di[] = {-1, 0, 1, 0};
const int dj[] = {0, -1, 0, 1};
const int INF = 1001001001;

// auto mod int
// https://youtu.be/L8grWxBlIZ4?t=9858
// https://youtu.be/ERZuLAxZffQ?t=4807 : optimize
// https://youtu.be/8uowVvQ_-Mo?t=1329 : division
const int mod = 998244353;
struct mint {
  ll x; // typedef long long ll;
  mint(ll x = 0) : x((x % mod + mod) % mod) {}
  mint operator-() const { return mint(-x); }
  mint &operator+=(const mint a) {
    if ((x += a.x) >= mod)
      x -= mod;
    return *this;
  }
  mint &operator-=(const mint a) {
    if ((x += mod - a.x) >= mod)
      x -= mod;
    return *this;
  }
  mint &operator*=(const mint a) {
    (x *= a.x) %= mod;
    return *this;
  }
  mint operator+(const mint a) const {
    mint res(*this);
    return res += a;
  }
  mint operator-(const mint a) const {
    mint res(*this);
    return res -= a;
  }
  mint operator*(const mint a) const {
    mint res(*this);
    return res *= a;
  }
  mint pow(ll t) const {
    if (!t)
      return 1;
    mint a = pow(t >> 1);
    a *= a;
    if (t & 1)
      a *= *this;
    return a;
  }

  // for prime mod
  mint inv() const { return pow(mod - 2); }
  mint &operator/=(const mint a) { return (*this) *= a.inv(); }
  mint operator/(const mint a) const {
    mint res(*this);
    return res /= a;
  }
};
istream &operator>>(istream &i, mint &a) {
  i >> a.x;
  return i;
}
ostream &operator<<(ostream &o, const mint &a) {
  o << a.x;
  return o;
}

int main() {
  int n, k;
  cin >> n >> k;
  vector<int> l(k), r(k);
  rep(i, k) cin >> l[i] >> r[i];
  vector<mint> dp(n + 1);
  vector<mint> dpsum(n + 1);
  dp[1] = 1;
  dpsum[1] = 1;
  for (int i = 2; i <= n; i++) {
    rep(j, k) {
      int li = i - r[j];
      int ri = i - l[i];
      if (ri < 0)
        continue;
      li = max(li, 1);
      dp[i] += dpsum[ri] - dpsum[li - 1];
    }
    dpsum[i] = dpsum[i - 1] + dp[i];
  }
  cout << dp[n] << endl;
  return 0;
}

Fixed submission:
#include <bits/stdc++.h>
#define rep(i, n) for (int i = 0; i < (n); ++i)
using namespace std;
using ll = long long;
using P = pair<int, int>;
#define chmax(x, y) x = max(x, y);
#define chmin(x, y) x = min(x, y);
const int di[] = {-1, 0, 1, 0};
const int dj[] = {0, -1, 0, 1};
const int INF = 1001001001;

// auto mod int
// https://youtu.be/L8grWxBlIZ4?t=9858
// https://youtu.be/ERZuLAxZffQ?t=4807 : optimize
// https://youtu.be/8uowVvQ_-Mo?t=1329 : division
const int mod = 998244353;
struct mint {
  ll x; // typedef long long ll;
  mint(ll x = 0) : x((x % mod + mod) % mod) {}
  mint operator-() const { return mint(-x); }
  mint &operator+=(const mint a) {
    if ((x += a.x) >= mod)
      x -= mod;
    return *this;
  }
  mint &operator-=(const mint a) {
    if ((x += mod - a.x) >= mod)
      x -= mod;
    return *this;
  }
  mint &operator*=(const mint a) {
    (x *= a.x) %= mod;
    return *this;
  }
  mint operator+(const mint a) const {
    mint res(*this);
    return res += a;
  }
  mint operator-(const mint a) const {
    mint res(*this);
    return res -= a;
  }
  mint operator*(const mint a) const {
    mint res(*this);
    return res *= a;
  }
  mint pow(ll t) const {
    if (!t)
      return 1;
    mint a = pow(t >> 1);
    a *= a;
    if (t & 1)
      a *= *this;
    return a;
  }

  // for prime mod
  mint inv() const { return pow(mod - 2); }
  mint &operator/=(const mint a) { return (*this) *= a.inv(); }
  mint operator/(const mint a) const {
    mint res(*this);
    return res /= a;
  }
};
istream &operator>>(istream &i, mint &a) {
  i >> a.x;
  return i;
}
ostream &operator<<(ostream &o, const mint &a) {
  o << a.x;
  return o;
}

int main() {
  int n, k;
  cin >> n >> k;
  vector<int> l(k), r(k);
  rep(i, k) cin >> l[i] >> r[i];
  vector<mint> dp(n + 1);
  vector<mint> dpsum(n + 1);
  dp[1] = 1;
  dpsum[1] = 1;
  for (int i = 2; i <= n; i++) {
    rep(j, k) {
      int li = i - r[j];
      int ri = i - l[j];
      if (ri < 0)
        continue;
      li = max(li, 1);
      dp[i] += dpsum[ri] - dpsum[li - 1];
    }
    dpsum[i] = dpsum[i - 1] + dp[i];
  }
  cout << dp[n] << endl;
  return 0;
}