left and right of length n to store the lengths of the longest non-increasing and non-decreasing subsequences respectively.count to 1 and iterate through nums from index 1 to n-1:
nums[i] <= nums[i-1], increment count, else reset count to 1.count is at least k, set left[i] to True.count to 1 and iterate through nums from index n-2 to 0:
nums[i] <= nums[i+1], increment count, else reset count to 1.count is at least k, set right[i] to True.good_indices.k to n-k and add the index i to good_indices if both left[i] and right[i] are True.good_indices.