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Write the pseudocode of the binary search algorithm and generate the recurrence relation from it

Question

Write the pseudocode of the binary search algorithm and generate the recurrence relation from it
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Solution 1

Sure, here is the pseudocode for the binary search algorithm:

Algorithm BinarySearch(A, n, x)
   Input: An array A[0..n-1] sorted in ascending order, an integer x.
   Output: An index i such that A[i]=x or the special value NOT_FOUND.

   low ← 0
   high ← n - 1
   while low ≤ high do
      mid
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