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rotated-digits.py
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51 lines (38 loc) · 1.49 KB
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'''
X is a good number if after rotating each digit individually by 180 degrees, we get a valid number that is different from X. Each digit must be rotated - we cannot choose to leave it alone.
A number is valid if each digit remains a digit after rotation. 0, 1, and 8 rotate to themselves; 2 and 5 rotate to each other; 6 and 9 rotate to each other, and the rest of the numbers do not rotate to any other number and become invalid.
Now given a positive number N, how many numbers X from 1 to N are good?
Example:
Input: 10
Output: 4
Explanation:
There are four good numbers in the range [1, 10] : 2, 5, 6, 9.
Note that 1 and 10 are not good numbers, since they remain unchanged after rotating.
Note:
N will be in range [1, 10000].
'''
class Solution:
def rotatedDigits(self, N):
"""
:type N: int
:rtype: int
"""
# Approach #1
# res = 0
# ban_num = set(['3','4','7'])
# agree_num = set(['2','5','6','9'])
# for num in range(N+1):
# lookup = set(list(str(num)))
# if lookup & ban_num:
# continue
# if lookup & agree_num:
# res += 1
# return res
# Appproach #2
res = 0
for num in range(N+1):
s_num = str(num)
if '3' not in s_num and '4' not in s_num and '7' not in s_num:
if '2' in s_num or '5' in s_num or '6' in s_num or '9' in s_num:
res += 1
return res