How to Solve Maximum Balanced Shipments Problem
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Maximum Balanced Shipments
You are given an integer array weight of length n, representing the weights of n parcels arranged in a straight line. A shipment is defined as a contiguous subarray of parcels. A shipment is considere...
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Understanding the Maximum Balanced Shipments Problem
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Problem Statement
You are given an integer array weight of length n, representing the weights of n parcels arranged in a straight line. A shipment is defined as a contiguous subarray of parcels. A shipment is considered balanced if the weight of the last parcel is strictly less than the maximum weight among all parcels in that shipment. Select a set of non-overlapping, contiguous, balanced shipments such that each parcel appears in at most one shipment (parcels may remain unshipped). Return the maximum possible number of balanced shipments that can be formed.
Maximum Balanced Shipments
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Examples
weight = [2,5,1,4,3]2We can form the maximum of two balanced shipments as follows: Shipment 1: [2, 5, 1] Maximum parcel weight = 5 Last parcel weight = 1, which is strictly less than 5. Thus, it's balanced. Shipment 2: [4, 3] Maximum parcel weight = 4 Last parcel weight = 3, which is strictly less than 4. Thus, it's balanced. It is impossible to partition the parcels to achieve more than two balanced shipments, so the answer is 2.
weight = [4,4]0No balanced shipment can be formed in this case: A shipment [4, 4] has maximum weight 4 and the last parcel's weight is also 4, which is not strictly less. Thus, it's not balanced. Single-parcel shipments [4] have the last parcel weight equal to the maximum parcel weight, thus not balanced. As there is no way to form even one balanced shipment, the answer is 0.
Constraints
2 <= n <= 1051 <= weight[i] <= 109How Interview Coder Helps with Leetcode Problems
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