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longest_sorted_sequence

Language/Type: Python lists traversals

Write a function named longest_sorted_sequence that accepts a list of integers as a parameter and that returns the length of the longest sorted (nondecreasing) sequence of integers in the list. For example, if a variable named list stores the following values:

list = [3, 8, 10, 1, 9, 14, -3, 0, 14, 207, 56, 98, 12]

then the call of longest_sorted_sequence(list) should return 4 because the longest sorted sequence in the list has four values in it (the sequence -3, 0, 14, 207). Notice that sorted means nondecreasing, which means that the sequence could contain duplicates. For example, if the list stores the following values:

list2 = [17, 42, 3, 5, 5, 5, 8, 2, 4, 6, 1, 19]

Then the function would return 5 for the length of the longest sequence (the sequence 3, 5, 5, 5, 8). Your function should return 0 if passed an empty list. Your function should return 1 if passed a list that is entirely in decreasing order or contains only one element.

Constraints: You may not use any auxiliary data structures (lists, strings, etc.) to solve this problem. Your function should not modify the list that is passed in.

Function: Write a Python function as described, not a complete program.

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