Thank you very much!

 I think the most hard part of this problem is problem b.

For problem b, if I devide n chips into two parts: n-n/2, and n/2, it
is easy to prove that at least one of the two parts will satisfy the
condition that more than half of the chips are good, so if I can find
out this part, this problem is reduced to one of nearly half the size.
But I can find a way to determine which part of the two satisfies the
condition.

I will dig more on this problem based on you suggestions.

Thanks!
Yangyan
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