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class Solution {
public:
    vector<string> readBinaryWatch(int num) {
        vector<string> rs;
        for (int h = 0; h < 12; h++) {
            for (int m = 0; m < 60; m++) {
                if (bitset<10>(h << 6 | m).count() == num)
                    rs.emplace_back(to_string(h) + (m < 10 ? ":0" : ":") + to_string(m));
            }
        }
        return rs;      
    }
}