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1. Point Location on Axes2. Check Pythagorean Triplet3. Check Valid Calendar Date4. Clock Angle Calculation5. Check Arithmetic Progression6. Check Geometric Progression7. Digit Sum vs Product8. Compare Two Dates9. Determine Century10. Absolute Difference Check

Clock Angle Calculation

Take time (hours and minutes) and print the smaller angle between the hour and minute hands.

AdvancedPhase 1 - Level 5: Creative / Tricky Logical ScenariosExample 4 of 10
clock-angle-calculation.py
1# Take time
2hours = int(input("Enter hours (1-12): "))
3minutes = int(input("Enter minutes (0-59): "))
4

5# Calculate angles
6hour_angle = (hours % 12) * 30 + minutes * 0.5
7minute_angle = minutes * 6
8

9# Find smaller angle
10angle = abs(hour_angle - minute_angle)
11smaller_angle = min(angle, 360 - angle)
12

13print(f"Smaller angle: {smaller_angle} degrees")

Output

Enter hours (1-12): 3
Enter minutes (0-59): 30
Smaller angle: 75.0 degrees

Enter hours (1-12): 12
Enter minutes (0-59): 0
Smaller angle: 0.0 degrees

What's going on

Calculate angles of hour and minute hands.

Key Concepts:

Hour hand: (hours % 12) * 30 + minutes * 0.5
Minute hand: minutes * 6
Find absolute difference
Take smaller of angle and 360 - angle

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