#include const int Mod = 998244353; long long fact[9000001], fact_inv[9000001]; long long div_mod(long long x, long long y, long long z) { if (x % y == 0) return x / y; else return (div_mod((1 + x / y) * y - x, (z % y), y) * z + x) / y; } long long combination(int n, int k) { return fact[n] * fact_inv[k] % Mod * fact_inv[n-k] % Mod; } int main() { int N, M, K; scanf("%d %d %d", &N, &M, &K); int i; for (i = 1, fact[0] = 1; i <= N * N; i++) fact[i] = fact[i-1] * i % Mod; for (i = N * N - 1, fact_inv[N*N] = div_mod(1, fact[N*N], Mod); i >= 0; i--) fact_inv[i] = fact_inv[i+1] * (i + 1) % Mod; int j, k, x, y; long long ans = 0, tmp; for (x = 1; x <= N; x++) { for (y = 1; y <= N; y++) { if (K + x + y > N * 2 || x * y < M) continue; if ((N * 2 - K - x - y) % 2 == 0) ans += combination(x * y, M) * combination(N, x) % Mod * combination(N, y) % Mod * combination(N * 2 - (x + y), K) % Mod; else ans += Mod - combination(x * y, M) * combination(N, x) % Mod * combination(N, y) % Mod * combination(N * 2 - (x + y), K) % Mod; } } printf("%lld\n", ans % Mod); fflush(stdout); return 0; }