#include #include using namespace std; const int D = 60; const long long MOD = 998244353; int main(){ int N; long long B, C; cin >> N >> B >> C; vector inv(N + 1); inv[1] = 1; for (int i = 2; i <= N; i++){ inv[i] = MOD - inv[MOD % i] * (MOD / i) % MOD; } vector fact(N + 1), finv(N + 1); fact[0] = 1; finv[0] = 1; for (int i = 1; i <= N; i++){ fact[i] = fact[i - 1] * i % MOD; finv[i] = finv[i - 1] * inv[i] % MOD; } vector cnt(N + 1); for (int i = 0; i <= N; i++){ cnt[i] = fact[N] * finv[i] % MOD * finv[N - i] % MOD; } vector> dp(D + 1, vector(N + 1, 0)); dp[0][0] = 1; for (int i = 0; i < D; i++){ vector F(N + 1, 0), G(N + 1, 0); for (int j = 0; j <= N; j++){ if (j % 2 == ((B ^ C) >> i & 1)){ F[j] = dp[i][j]; } if (j % 2 == (C >> i & 1)){ G[j] = cnt[j]; } } vector FG = atcoder::convolution(F, G); for (int j = 0; j <= N * 2; j++){ dp[i + 1][j / 2] += FG[j]; dp[i + 1][j / 2] %= MOD; } } cout << dp[D][0] << endl; }