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Okay, now it's your turn to work with an RGB image! Write a program that takes a coloured image and turns it into a greyscale

Okay, now it's your turn to work with an RGB image!
Write a program that takes a coloured image and turns it into a greyscale image according to the method described below.
The program should ask the user to enter a filename, open this file, perform the transformation, and then save the greyscale version of the image to the file 'output.png'.
To turn a colour image into a greyscale image, we need to decide on a single colour value for each greyscale pixel (based on the three colour values from the corresponding RGB pixel). For this problem, we will determine the colour value by simply averaging the red, green, and blue colour values (and rounding the result down to an integer).
Here is an example of the effect your program should produce:
RGB astronaut
astronaut.png
Enter a filename: astronaut.png
Average greyscaled astronaut
output.png
Average colours
The method of averaging RGB colour values to produce a greyscale colour value is flawed. When humans see, our vision isn't influenced by red, green, and blue light equally.
More sophisticated methods perform a weighted average instead, in an attempt to produce an image that looks more close to the original (but without colour). See this Wikipedia page, for more information.

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