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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".
backtracking 让bit自左至右往上加,需要注意时间格式的限定条件,小时不超过12点,分钟不超过60min。
public IList<string> ReadBinaryWatch(int num) { var res = new List<string>(); Backtracking(num,1,res,0,0); return res; } private void Backtracking(int num,int bit, IList<string> res, int hr,int min) { if(num<0) return; if(bit == 11) { if(num == 0 && hr<12 && min<60) res.Add(hr+":"+((min<10)?"0"+min: min+"")); return ; } else { Backtracking(num,bit+1,res,hr,min); if(bit <=4 ) Backtracking(num-1,bit+1,res,hr+(int)Math.Pow(2,4-bit),min); else Backtracking(num-1,bit+1,res,hr,min+(int)Math.Pow(2,10-bit)); } }
401. Binary Watch
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