A self-dividing number is a number that is divisible by every digit it contains.
For example, 128 is a self-dividing number because 128 % 1 == 0
, 128 % 2 == 0
, and 128 % 8 == 0
.
Also, a self-dividing number is not allowed to contain the digit zero.
Given a lower and upper number bound, output a list of every possible self dividing number, including the bounds if possible.
Example 1:
Input:
left = 1, right = 22
Output: [1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 15, 22]
Note:
- The boundaries of each input argument are
1 <= left <= right <= 10000
.
Brute-Force!!!
class Solution:
def selfDividingNumbers(self, left, right):
"""
:type left: int
:type right: int
:rtype: List[int]
"""
result=[] for num in range(left, right+1):
strnum=str(num) flag=True for digit in strnum:
if digit=='0':
flag=False
break if num%int(digit) !=0:
flag=False
break if flag:
result.append(num) return result