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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.

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 diagram

Example 1

Input: weight = [2,5,1,4,3]

Output: 2

Explanation: We can form the maximum of two balanced shipments as follows: It is impossible to partition the parcels to achieve more than two balanced shipments, so the answer is 2.

Example 2

Input: weight = [4,4]

Output: 0

Explanation: No balanced shipment can be formed in this case: As there is no way to form even one balanced shipment, the answer is 0.

Constraints

  • 2 <= n <= 10^5
  • 1 <= weight[i] <= 10^9

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