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 """ def judge(t): s = list(str(t)) for i in range(len(s)): if s[i] in [‘3‘,‘4‘,‘7‘]: return False if s[i]==‘2‘: s[i] = ‘5‘ continue if s[i]==‘5‘: s[i] = ‘2‘ continue if s[i]==‘6‘: s[i] = ‘9‘ continue if s[i]==‘9‘: s[i] = ‘6‘ continue if t == int(‘‘.join(s)): return False return True res = 0 for i in range(1,N+1): if judge(i): # print(i) res += 1 return res
788. rotated digits