[madnak]

I think you confused him, thylacine. Your answer is wrong:

<font color="white">You have to flip the 18, not the 32.

If you flip the 32 you'll always end up with more heads in that pile. The 18 pile will have x heads and 18-x tails, the 32 pile has 18-x heads and 32-(18-x) tails. Flip the 32 and you now have 18-x tails and 32-(18-x) heads. So x heads in the 18 pile and 32-(18-x) heads in the 32 pile. That's x and 14+x, the 32 pile will always have 14 more heads than the 18 pile.</font>