Problem p02632 (C++)

Buggy submission (status: Runtime Error):
#include <bits/stdc++.h>
using namespace std;

#define REP(i, s) for (int i = 0; i < s; ++i)
#define ALL(v) (v).begin(), (v).end()
#define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl
#define EACH(i, s)                                                             \
  for (__typeof__((s).begin()) i = (s).begin(); i != (s).end(); ++i)
#define DEBUG
#define int long long
#define INF 1e18
template <class T> inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T> inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T1, class T2> ostream &operator<<(ostream &s, pair<T1, T2> P) {
  return s << '<' << P.first << ", " << P.second << '>';
}
template <class T> ostream &operator<<(ostream &s, vector<T> P) {
  for (int i = 0; i < P.size(); ++i) {
    if (i > 0) {
      s << " ";
    }
    s << P[i];
  }
  return s;
}
template <class T> ostream &operator<<(ostream &s, vector<vector<T>> P) {
  for (int i = 0; i < P.size(); ++i) {
    s << endl << P[i];
  }
  return s << endl;
}
template <class T> ostream &operator<<(ostream &s, set<T> P) {
  EACH(it, P) { s << "<" << *it << "> "; }
  return s << endl;
}
template <class T1, class T2> ostream &operator<<(ostream &s, map<T1, T2> P) {
  EACH(it, P) { s << "<" << it->first << "->" << it->second << "> "; }
  return s << endl;
}
template <class T> void show(vector<T> v) {
  for (int i = 0; i < v.size(); i++) {
    cerr << v[i] << " ";
  }
  cerr << "\n";
}
typedef long long ll;

const int MAX = 1000010;
const int MOD = 1000000007;

long long fac[MAX], finv[MAX], inv[MAX];

// テーブルを作る前処理
void COMinit() {
  fac[0] = fac[1] = 1;
  finv[0] = finv[1] = 1;
  inv[1] = 1;
  for (int i = 2; i < MAX; i++) {
    fac[i] = fac[i - 1] * i % MOD;
    inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
    finv[i] = finv[i - 1] * inv[i] % MOD;
  }
}

// 二項係数計算
long long COM(int n, int k) {
  if (n < k)
    return 0;
  if (n < 0 || k < 0)
    return 0;
  return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}

ll add(ll x, ll y) {
  x += y;
  if (x >= MOD)
    return x - MOD;
  return x;
}
ll sub(ll x, ll y) {
  x -= y;
  if (x < 0)
    return x + MOD;
  return x;
}
ll mult(ll x, ll y) { return (x * y) % MOD; }
ll bin_pow(ll x, ll p) {
  if (p == 0)
    return 1;
  if (p & 1)
    return mult(x, bin_pow(x, p - 1));
  return bin_pow(mult(x, x), p / 2);
}

signed main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int k;
  cin >> k;
  string s;
  cin >> s;
  int N = (int)s.size() + k;
  int n = (int)s.size();
  COMinit();
  int ans = 0;
  for (int i = n; i <= N; i++) {
    int x = bin_pow(25, i - n);
    int y = bin_pow(26, N - i);
    int z = COM(i - 1, n - 1);
    // cerr<<i-n<<" "<<N-i<<" "<<z<<" "<<ans<<endl;
    ans += mult(z, mult(x, y));
    ans %= MOD;
  }

  cout << ans << endl;
  return 0;
}

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

#define REP(i, s) for (int i = 0; i < s; ++i)
#define ALL(v) (v).begin(), (v).end()
#define COUT(x) cout << #x << " = " << (x) << " (L" << __LINE__ << ")" << endl
#define EACH(i, s)                                                             \
  for (__typeof__((s).begin()) i = (s).begin(); i != (s).end(); ++i)
#define DEBUG
#define int long long
#define INF 1e18
template <class T> inline bool chmax(T &a, T b) {
  if (a < b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T> inline bool chmin(T &a, T b) {
  if (a > b) {
    a = b;
    return 1;
  }
  return 0;
}
template <class T1, class T2> ostream &operator<<(ostream &s, pair<T1, T2> P) {
  return s << '<' << P.first << ", " << P.second << '>';
}
template <class T> ostream &operator<<(ostream &s, vector<T> P) {
  for (int i = 0; i < P.size(); ++i) {
    if (i > 0) {
      s << " ";
    }
    s << P[i];
  }
  return s;
}
template <class T> ostream &operator<<(ostream &s, vector<vector<T>> P) {
  for (int i = 0; i < P.size(); ++i) {
    s << endl << P[i];
  }
  return s << endl;
}
template <class T> ostream &operator<<(ostream &s, set<T> P) {
  EACH(it, P) { s << "<" << *it << "> "; }
  return s << endl;
}
template <class T1, class T2> ostream &operator<<(ostream &s, map<T1, T2> P) {
  EACH(it, P) { s << "<" << it->first << "->" << it->second << "> "; }
  return s << endl;
}
template <class T> void show(vector<T> v) {
  for (int i = 0; i < v.size(); i++) {
    cerr << v[i] << " ";
  }
  cerr << "\n";
}
typedef long long ll;

const int MAX = 2000010;
const int MOD = 1000000007;

long long fac[MAX], finv[MAX], inv[MAX];

// テーブルを作る前処理
void COMinit() {
  fac[0] = fac[1] = 1;
  finv[0] = finv[1] = 1;
  inv[1] = 1;
  for (int i = 2; i < MAX; i++) {
    fac[i] = fac[i - 1] * i % MOD;
    inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD;
    finv[i] = finv[i - 1] * inv[i] % MOD;
  }
}

// 二項係数計算
long long COM(int n, int k) {
  if (n < k)
    return 0;
  if (n < 0 || k < 0)
    return 0;
  return fac[n] * (finv[k] * finv[n - k] % MOD) % MOD;
}

ll add(ll x, ll y) {
  x += y;
  if (x >= MOD)
    return x - MOD;
  return x;
}
ll sub(ll x, ll y) {
  x -= y;
  if (x < 0)
    return x + MOD;
  return x;
}
ll mult(ll x, ll y) { return (x * y) % MOD; }
ll bin_pow(ll x, ll p) {
  if (p == 0)
    return 1;
  if (p & 1)
    return mult(x, bin_pow(x, p - 1));
  return bin_pow(mult(x, x), p / 2);
}

signed main() {
  ios::sync_with_stdio(false);
  cin.tie(nullptr);
  int k;
  cin >> k;
  string s;
  cin >> s;
  int N = (int)s.size() + k;
  int n = (int)s.size();
  COMinit();
  int ans = 0;
  for (int i = n; i <= N; i++) {
    int x = bin_pow(25, i - n);
    int y = bin_pow(26, N - i);
    int z = COM(i - 1, n - 1);
    // cerr<<i-n<<" "<<N-i<<" "<<z<<" "<<ans<<endl;
    ans += mult(z, mult(x, y));
    ans %= MOD;
  }

  cout << ans << endl;
  return 0;
}