  The sub-barrier pairs of energy levels of a Hermitian one-dimensional
symmetric double well potential are known to merge into one, if the inter-well
distance ($a$) is increased slowly. The energy at which the doublets merge are
the ground state eigenvalues of independent wells ($\epsilon_0$). We show that
if the double well is perturbed mildly by a complex PT-symmetric potential the
merging of levels turns into the coalescing of two levels at an exceptional
point $a=a_*$. For $a>a_*$, the real part of complex-conjugate eigenvalues
coincides with $\epsilon_0$ again. This is an interesting and rare connection
between the two phenomena in two domains: Hermiticity and complex PT-symmetry.
