Problem p03133 (C++)

Buggy submission (status: Runtime Error):
#include <algorithm>
#include <bitset>
#include <climits>
#include <complex>
#include <deque>
#include <iomanip>
#include <iostream>
#include <istream>
#include <iterator>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <vector>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
// typedef pair<ll, ll> P;
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define revrep(i, n) for (ll i = (n)-1; i >= 0; i--)
#define pb push_back
#define f first
#define s second
#define chmin(x, y) x = min(x, y);
#define chmax(x, y) x = max(x, y);

// const ll INFL = LLONG_MAX;//10^18 = 2^60
const ll INFL = 1LL << 60;
// const int INF = INT_MAX;
const ll INF = 1 << 30; // 10^9
// ll MOD = 1000000007;
ll MOD = 998244353;

vector<ll> dy = {0, 1, 0, -1, 1, 1, -1, -1, 0};
vector<ll> dx = {1, 0, -1, 0, 1, -1, 1, -1, 0};

void pres(double A, ll x = 20) {
  cout << fixed << setprecision(x) << A << endl;
}
void BinarySay(ll x, ll y = 60) {
  rep(i, y) cout << (x >> (y - 1 - i) & 1);
  cout << endl;
}
ll cnt_bit(ll x) { return __builtin_popcountll(x); }

ll pow_long(ll x, ll k) {
  ll res = 1;
  while (k > 0) {
    if (k % 2)
      res *= x;
    x *= x;
    k /= 2;
  }
  return res;
}

ll pow_mod(ll x, ll k) {
  ll res = 1;
  while (k > 0) {
    if (k % 2) {
      res *= x;
      res %= MOD;
    }
    x *= x;
    x %= MOD;
    k /= 2;
  }
  return res;
}

ll inverse(ll x) { return pow_mod(x, MOD - 2); };

ll gcd(ll a, ll b) {
  if (b == 0)
    return a;
  return gcd(b, a % b);
}

ll lcm(ll x, ll y) {
  ll res = x / gcd(x, y);
  res *= y;
  return res;
};

// コンビネーション
const int MAXcomb = 200010;
ll fac[MAXcomb], finv[MAXcomb], inv[MAXcomb];
// facはn!,finvは1/n!
// invは逆元
void COMinit() {
  fac[0] = fac[1] = 1;
  finv[0] = finv[1] = 1;
  inv[1] = 1;
  for (int i = 2; i < MAXcomb; 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;
  }
}
ll comb(int n, int k) {
  if (n < k)
    return 0;
  if (n < 0 || k < 0)
    return 0;
  return fac[n] * finv[k] % MOD * finv[n - k] % MOD;
}

const int MAXkai = 200010;
ll kai_memo[MAXkai];
ll kai(ll N) {
  if (kai_memo[N] != 0)
    return kai_memo[N];
  if (N <= 1)
    return 1;
  return kai_memo[N] = N * kai(N - 1) % MOD;
}

ll Rank(ll N, ll M, vector<vector<ll>> A) {
  ll next = 0;
  rep(i, M) {
    for (ll j = next; j < N; j++) {
      if (A[j][i]) {
        swap(A[next], A[j]);
      }
    }
    if (!A[next][i])
      continue;
    rep(j, N) if (j != next) {
      if (A[j][i]) {
        rep(k, M) A[j][k] ^= A[next][k];
      }
    }
    next++;
    if (next == N + 1)
      break;
  }
  return next;
}

ll N, M;
vector<vector<ll>> A;

void solve() {
  COMinit();
  cin >> N >> M;
  A.resize(N);
  rep(i, N) A[i].resize(M);
  rep(i, N) rep(j, M) cin >> A[i][j];
  ll r = Rank(N, M, A);
  ll ans = 0;
  rep(i, r + 1) {
    ll add = comb(r, i) * pow_mod(2, r - i) % MOD;
    for (ll j = 1; j <= i; j += 2) {
      ans += add * comb(i, j) % MOD;
      ans %= MOD;
    }
  }
  ans *= pow_mod(2, N + M - 2 * r);
  ans %= MOD;
  cout << ans << endl;
}

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);
  solve();
}


Fixed submission:
#include <algorithm>
#include <bitset>
#include <climits>
#include <complex>
#include <deque>
#include <iomanip>
#include <iostream>
#include <istream>
#include <iterator>
#include <map>
#include <queue>
#include <set>
#include <stack>
#include <string>
#include <tuple>
#include <vector>
using namespace std;

typedef long long ll;
typedef unsigned long long ull;
// typedef pair<ll, ll> P;
#define rep(i, n) for (ll i = 0; i < (n); i++)
#define revrep(i, n) for (ll i = (n)-1; i >= 0; i--)
#define pb push_back
#define f first
#define s second
#define chmin(x, y) x = min(x, y);
#define chmax(x, y) x = max(x, y);

// const ll INFL = LLONG_MAX;//10^18 = 2^60
const ll INFL = 1LL << 60;
// const int INF = INT_MAX;
const ll INF = 1 << 30; // 10^9
// ll MOD = 1000000007;
ll MOD = 998244353;

vector<ll> dy = {0, 1, 0, -1, 1, 1, -1, -1, 0};
vector<ll> dx = {1, 0, -1, 0, 1, -1, 1, -1, 0};

void pres(double A, ll x = 20) {
  cout << fixed << setprecision(x) << A << endl;
}
void BinarySay(ll x, ll y = 60) {
  rep(i, y) cout << (x >> (y - 1 - i) & 1);
  cout << endl;
}
ll cnt_bit(ll x) { return __builtin_popcountll(x); }

ll pow_long(ll x, ll k) {
  ll res = 1;
  while (k > 0) {
    if (k % 2)
      res *= x;
    x *= x;
    k /= 2;
  }
  return res;
}

ll pow_mod(ll x, ll k) {
  ll res = 1;
  while (k > 0) {
    if (k % 2) {
      res *= x;
      res %= MOD;
    }
    x *= x;
    x %= MOD;
    k /= 2;
  }
  return res;
}

ll inverse(ll x) { return pow_mod(x, MOD - 2); };

ll gcd(ll a, ll b) {
  if (b == 0)
    return a;
  return gcd(b, a % b);
}

ll lcm(ll x, ll y) {
  ll res = x / gcd(x, y);
  res *= y;
  return res;
};

// コンビネーション
const int MAXcomb = 200010;
ll fac[MAXcomb], finv[MAXcomb], inv[MAXcomb];
// facはn!,finvは1/n!
// invは逆元
void COMinit() {
  fac[0] = fac[1] = 1;
  finv[0] = finv[1] = 1;
  inv[1] = 1;
  for (int i = 2; i < MAXcomb; 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;
  }
}
ll comb(int n, int k) {
  if (n < k)
    return 0;
  if (n < 0 || k < 0)
    return 0;
  return fac[n] * finv[k] % MOD * finv[n - k] % MOD;
}

const int MAXkai = 200010;
ll kai_memo[MAXkai];
ll kai(ll N) {
  if (kai_memo[N] != 0)
    return kai_memo[N];
  if (N <= 1)
    return 1;
  return kai_memo[N] = N * kai(N - 1) % MOD;
}

ll Rank(ll N, ll M, vector<vector<ll>> A) {
  ll next = 0;
  rep(i, M) {
    for (ll j = next; j < N; j++) {
      if (A[j][i]) {
        swap(A[next], A[j]);
      }
    }
    if (!A[next][i])
      continue;
    rep(j, N) if (j != next) {
      if (A[j][i]) {
        rep(k, M) A[j][k] ^= A[next][k];
      }
    }
    next++;
    if (next == N)
      break;
  }
  return next;
}

ll N, M;
vector<vector<ll>> A;

void solve() {
  COMinit();
  cin >> N >> M;
  A.resize(N);
  rep(i, N) A[i].resize(M);
  rep(i, N) rep(j, M) cin >> A[i][j];
  ll r = Rank(N, M, A);
  ll ans = 0;
  rep(i, r + 1) {
    ll add = comb(r, i) * pow_mod(2, r - i) % MOD;
    for (ll j = 1; j <= i; j += 2) {
      ans += add * comb(i, j) % MOD;
      ans %= MOD;
    }
  }
  ans *= pow_mod(2, N + M - 2 * r);
  ans %= MOD;
  cout << ans << endl;
}

int main() {
  cin.tie(0);
  ios::sync_with_stdio(false);
  solve();
}