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You are given an array a, of n elements. Find the minimum index based distance between two distinct elements of the array, x and y. Return -1, if either x or y does not exist in the array.

Question

You are given an array a, of n elements. Find the minimum index based distance between two distinct elements of the array, x and y. Return -1, if either x or y does not exist in the array.

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Solution

Sure, here is a Python solution for the problem:

def min_distance(arr, x, y):
    # Initialize minimum distance
    min_dist = float('inf')
    # Check if x and y are in arr
    if x not in arr or y not in arr:
        return -1
    # Traverse through the array
    for i in range(len(arr)):
        for j in range(i+1, len(arr)):
            # If x and y are found, update min_dist
            if ((arr[i] == x and arr[j] == y) or (arr[j] == x and arr[i] == y)) and min_dist > abs(i-j):
                min_dist = abs(i-j)
    return min_dist

This function min_distance takes an array arr and two elements x and y as input. It first checks if x and y are in arr. If either x or y does not exist in arr, it returns -1. Then it traverses through the array. For each element, it checks the rest of the array for x and y. If x and y are found, it updates min_dist with the absolute difference of their indices if this difference is smaller than the current min_dist. Finally, it returns min_dist which is the minimum index based distance between x and y.

Please note that this solution has a time complexity of O(n^2) due to the nested loop. If the array is large, this solution might be slow.

This problem has been solved

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