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Write a pseudocode to find the smallest number using divide and conquer

Question

Write a pseudocode to find the smallest number using divide and conquer

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Solution

Sure, here is a pseudocode for finding the smallest number in an array using divide and conquer approach:

Function findSmallestNumber(array, start, end)
    // Base case: if the array has only one element
    If start == end Then
        Return array[start]
    End If

    // Find the middle point
    mid = (start + end) / 2

    // Recursively find the smallest number in the first half
    smallestInFirstHalf = findSmallestNumber(array, start, mid)

    // Recursively find the smallest number in the second half
    smallestInSecondHalf = findSmallestNumber(array, mid + 1, end)

    // Return the smallest of the two numbers
    If smallestInFirstHalf < smallestInSecondHalf Then
        Return smallestInFirstHalf
    Else
        Return smallestInSecondHalf
    End If
End Function

This pseudocode starts by dividing the array into two halves and then recursively finds the smallest number in each half. The smallest number in the array is then the smaller of the two numbers.

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