[LeetCode&Python] Problem 401. Binary Watch

A binary watch has 4 LEDs on the top which represent the hours (0-11), and the 6 LEDs on the bottom represent the minutes (0-59).

Each LED represents a zero or one, with the least significant bit on the right.

For example, the above binary watch reads "3:25".

Given a non-negative integer n which represents the number of LEDs that are currently on, return all possible times the watch could represent.

Example:

Input: n = 1
Return: ["1:00", "2:00", "4:00", "8:00", "0:01", "0:02", "0:04", "0:08", "0:16", "0:32"]

Note:

• The order of output does not matter.
• The hour must not contain a leading zero, for example "01:00" is not valid, it should be "1:00".
• The minute must be consist of two digits and may contain a leading zero, for example "10:2" is not valid, it should be "10:02".

class Solution(object):
    def readBinaryWatch(self, num):
        """
        :type num: int
        :rtype: List[str]
        """
        ans=[]
        def findans(leds,bits=0,i=0):
            if bits==num:
                h,m=int(''.join(leds[:4]),2), int(''.join(leds[4:]),2)
                if h<12 and m<60:
                    ans.append("{}:{:02d}".format(h,m))
                    return
            for j in range(i,10):
                leds[j]='1'
                findans(leds,bits+1,j+1)
                leds[j]='0'
        findans(['0']*10)
        return ans