let 𝑋[1: 𝑛] be an array of actual numbers, and 𝑙 a set optimistic integer ≤ 𝑛. An 𝑙-subarray of 𝑋 is any sequence of 𝑙 consecutive components of the array 𝑋. The trough of an 𝑙-subarray is the minimal worth in that 𝑙-subarray. Give a divide-and-conquer algorithm that takes as enter an array 𝑋[1: 𝑛] and a optimistic integer 𝑙 ≤ 𝑛, and returns the beginning place of the 𝑙-subarray that has the most important trough. Analyze the time complexity of your algorithm by way of 𝑛 and 𝑙. (Your algorithm ought to cut up the enter into two halves)
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