Question

In: Computer Science

Describe an efficient recursive algorithm for solving the element uniqueness problem

Describe an efficient recursive algorithm for solving the element uniqueness problem, which runs in time that is at most O(n2) in the worst case without using sorting.

 

 

Solutions

Expert Solution

The problem can be solved in O(n2) using two for loops in cas cade whick gives the function an O(n2) wihtout the usage of sorting of elements.

 

Algorithm:

The algorithm will return “j” or true of the element its in the array are unique and return “O” of the elements are not unique.

 

A is the input array containing the elements from index 0 to (n – 1)

for (i = 0; I <= (n-1); i++)

{

For (j = i + 1; j <= (n-1); j ++)

{

If(A[i] == A[j])

Return 0;

Break

}

}


The problem can be solved in O(n2) using two for loops in cas cade whick gives the function an O(n2) wihtout the usage of sorting of elements.

 

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