Conjecture 352 (open since February 2009) fell to exhaustive enumeration: all 81,134 trees with nā¤17 satisfy the conjecture, but exactly ONE of 123,867 trees at n=18 provides a counterexample (gamma_t=7 vs RHS=8). The infinite family H(c) with n=8c+6 and deficit ceil((c-1)/2) approaching infinity fails under every rounding interpretation.