Clock Angle - Amazon Top Interview Questions


Problem Statement :


Given a clock time with hour and integer minutes, determine the smaller angle between the hour and the minute hands and floor it to the nearest integer.

Note that the hour hand moves too.

Bonus: When, during the course of a day, will the angle be zero?

Constraints

0 ≤ hour ≤ 23
0 ≤ minutes ≤ 59

Example 1

Input
hour = 12
minutes = 22

Output

121



Solution :



title-img




                        Solution in C++ :

int solve(int hour, int minutes) {
    int d = abs(300 * (hour % 12) - 55 * minutes);
    return min(d, 3600 - d) / 10;
}
                    


                        Solution in Java :

import java.util.*;

class Solution {
    public int solve(int hour, int minutes) {
        double minuteAngle = (minutes * 360.0) / 60.0;
        double normalizedHour = hour >= 12 ? hour - 12.0 : hour;
        double hourAngle = normalizedHour * 30.0 + (minutes * 30.0) / 60.0;
        double angle = minuteAngle - hourAngle;
        angle = angle < 0.0 ? angle + 360.0 : angle;
        angle = angle > 180.0 ? 360.0 - angle : angle;
        return (int) Math.floor(angle);
    }
}
                    


                        Solution in Python : 
                            
class Solution:
    def solve(self, hour, minutes):
        hour = hour % 12
        hdeg = hour * 30 + minutes * 0.5
        Mdeg = minutes * 6
        angle = min(abs(hdeg - Mdeg), 360 - abs(hdeg - Mdeg))
        return int(angle)
                    


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