Solution: Divide Chocolate
Explore how to divide a chocolate bar among friends to maximize the minimum sweetness of your piece using a modified binary search. Understand the approach of guessing sweetness values, validating cuts, and refining guesses to reach the optimal solution efficiently. This lesson guides you through the logic, algorithm steps, and complexity analysis to apply this technique confidently.
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Statement
You have a chocolate bar made up of several chunks, and each chunk has a certain sweetness, given in an array called sweetness. You want to share the chocolate with k friends. To do this, you’ll make k cuts to divide the bar into k + 1 parts. Each part will consist of consecutive chunks.
Being a kind person, you’ll take the piece with the minimum total sweetness and give the other pieces to your friends.
Your task is to find the maximum total sweetness of the piece you will receive if you cut the chocolate bar optimally.
Constraints:
k...