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Given an array of integers, find the longest subarray where the absolute difference between any two elements is less than or equal to .

Question

Given an array of integers, find the longest subarray where the absolute difference between any two elements is less than or equal to .

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Solution

To find the longest subarray where the absolute difference between any two elements is less than or equal to a given value, you can follow these steps:

  1. Initialize two pointers, "start" and "end", both pointing to the first element of the array.
  2. Initialize a variable "maxLength" to keep track of the length of the longest subarray found so far.
  3. Iterate through the array using the "end" pointer, moving it one step at a time.
  4. For each element at the "end" pointer, calculate the absolute difference between it and the element at the "start" pointer.
  5. If the absolute difference is less than or equal to the given value, update the "maxLength" if the current subarray length is greater.
  6. If the absolute difference is greater than the given value, move the "start" pointer one step forward and repeat step 4.
  7. Repeat steps 4-6 until the "end" pointer reaches the end of the array.
  8. Return the value of "maxLength" as the length of the longest subarray.

Here is a sample implementation in Python:

def longest_subarray(arr, diff):
    start = 0
    end = 0
    maxLength = 0

    while end < len(arr):
        if abs(arr[end] - arr[start]) <= diff:
            maxLength = max(maxLength, end - start + 1)
            end += 1
        else:
            start += 1

    return maxLength

You can call this function by passing your array and the desired difference as arguments, like this:

arr = [1, 2, 3, 4, 5]
diff = 2
result = longest_subarray(arr, diff)
print(result)  # Output: 5

In this example, the longest subarray with an absolute difference of 2 or less is the entire array itself.

This problem has been solved

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