Non-decreasing Array with Single Modification

Hi, here's your problem today. This problem was recently asked by Microsoft:

You are given an array of integers in an arbitrary order. Return whether or not it is possible to make the array non-decreasing by modifying at most 1 element to any value.

We define an array is non-decreasing if array[i] <= array[i + 1] holds for every i (1 <= i < n).

Example:

[13, 4, 7] should return true, since we can modify 13 to any value 4 or less, to make it non-decreasing.

[13, 4, 1] however, should return false, since there is no way to modify just one element to make the array non-decreasing.

Here is the function signature:

def check(lst):

  # Fill this in.



print check([13, 4, 7])

# True

print check([5,1,3,2,5])

# False

Can you find a solution in O(n) time?