Question: . 3. (15 points) For n distinct elements a1,,an with positive weights w1,,wn s.t. i=1nwi=1, design a linear-time algorithm returning the element ak, which satisfies

. 3. (15 points) For n distinct elements a1,,an with positive weights .

3. (15 points) For n distinct elements a1,,an with positive weights w1,,wn s.t. i=1nwi=1, design a linear-time algorithm returning the element ak, which satisfies the following: aiakwi1/2. Assume that such an ak always exists. You should also justify the time complexity

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