#include #include const int mod = 998244353; int h, w, k, n, d, f[400010], ff[400010], ans = 0; int min(int a, int b) { return a < b ? a : b; } int ksm(int a, int b) { int ans = 1; while (b) { if (b & 1) ans = 1ll * ans * a % mod; b >>= 1; a = 1ll * a * a % mod; } return ans; } int C(int x, int y) { if (y < 0 || y > x) return 0; return 1ll * f[x] * ff[y] % mod * ff[x - y] % mod; } int main() { scanf("%d %d %d", &h, &w, &k); h--; w--; n = h + w; d = k / 2; f[0] = ff[0] = 1; for (int i = 1; i <= n; i++) { f[i] = 1ll * i * f[i - 1] % mod; ff[i] = ksm(f[i], mod - 2); } if (d == 0) { printf("%d", C(n, h)); return 0; } for (int m = 0; m <= min(h, w); m++) { int sum1 = 1ll * C(n, m * 2) * C(n - m * 2, h - m) % mod; int sum2 = 0; int period = d * 2 + 2; int kmin = - (2 * m + period) / period - 2; int kmax = (2 * m + period) / period + 2; for (int k = kmin; k <= kmax; k++) { int t1 = m + k * period; int t2 = m + d + 1 + k * period; sum2 = (sum2 + C(2 * m, t1)) % mod; sum2 = (sum2 - C(2 * m, t2) + mod) % mod; } ans = (ans + 1ll * sum1 * sum2) % mod; } printf("%d", ans); return 0; }