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Solution: Divide Chocolate

Explore how to apply modified binary search to solve the problem of dividing a chocolate bar into parts with maximal minimum sweetness. Learn to guess sweetness thresholds, validate partitions, and adjust bounds efficiently. Understand this approach to improve your problem-solving skills using binary search variations.

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 << sweetness.length 103\leq 10^{3}

  • 11 \leq sweetness[i] ...