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3569 - Cern
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=== Explicație === Particula pleacă din punctul <code>A</code> în sens trigonometric şi are traseul: * * pe cercul <code>1</code> în sens trigonometric; * * pe cercul <code>2</code> în sens invers trigonometric; * * pe cercul <code>3</code> în sens trigonometric. Poziţia finală este la pe cercul <code>3</code>. <syntaxhighlight lang="python" line="1"> def determine_position(start_point, start_circle, start_direction, time_units): # Define circle tangents in degrees tangents = {0, 120, 240} # Define movement per unit time movement_per_unit = 10 # Initialize current position, circle and direction current_position = start_point current_circle = start_circle current_direction = start_direction # Perform movement for each time unit for _ in range(time_units): if current_direction == 'trigonometric': current_position = (current_position + movement_per_unit) % 360 else: current_position = (current_position - movement_per_unit) % 360 # Check if we hit a tangent point if current_position in tangents: # Change circle current_circle = 1 if current_circle == 3 else current_circle + 1 # Change direction if current_direction == 'trigonometric': current_direction = 'inverse trigonometric' else: current_direction = 'trigonometric' return current_position, current_circle # Example usage start_point = 0 # Initial position in degrees start_circle = 1 # Starting on circle 1 start_direction = 'trigonometric' # Starting direction time_units = 30 # Number of time units final_position, final_circle = determine_position(start_point, start_circle, start_direction, time_units) print(f"Final position: {final_position} degrees on circle {final_circle}") </syntaxhighlight>
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