[leetcode] 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.

eqWMFI.jpg

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”.

Code

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public List<String> (int num) {
List<String> result = new ArrayList<>();

for (int h = 0; h < 12; h++) {
for (int m = 0; m < 60; m++) {
if (Integer.bitCount((h << 6) + m) == num)
result.add(h + ":" + (m < 10 ? "0" + m : m));;
}
}

return result;
}