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Solution: Divide Chocolate

Explore how to solve the problem of dividing a chocolate bar into k+1 pieces with the maximum minimum sweetness using a modified binary search technique. Understand the problem reversal approach, learn to apply binary search over possible sweetness values, and identify the optimal cutting strategy efficiently. This lesson helps you implement and analyze time and space complexities for this coding pattern.

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:

  • 00 \leq k ...