Question

How to check if a list is all increasing or decreasing and the gap between numbers is 1, 2 or 3 in Python

Answer 1

def is_list_sorted_and_valid_gap(lst):
    if len(lst) < 2:
        return True  

    increasing = all(1 <= lst[i + 1] - lst[i] <= 3 for i in range(len(lst) - 1))
    decreasing = all(1 <= lst[i] - lst[i + 1] <= 3 for i in range(len(lst) - 1))

    return increasing or decreasing

lst1 = [1, 2, 3, 5, 8, 11, 14, 15]
lst2 = [15, 14, 11, 8, 5, 3, 2, 1]
lst3 = [1, 2, 3, 5, 800, 11, 14, 15]

print(is_list_sorted_and_valid_gap(lst1)) 
print(is_list_sorted_and_valid_gap(lst2)) 
print(is_list_sorted_and_valid_gap(lst3)) 

  
  
'''
run:
  
True
True
False
  
'''

 

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