Consider a variant of stable matching in which at every point, either a free college or a free student can propose. As in the Gale-Shapley algorithm, proposals are done going down in the preference list, so that a proposer cannot repeat a proposal to the same partner. Show that this algorithm always terminates with a perfect matching, but not necessarily a stable one.1

Write the pseudocode for the following: a function called fahrenheittocelsius that accepts a real fahrenheit temperature, performs the conversion, and returns the real celsius temperature. a function called celsiustofahrenheit that accepts a real celsius temperature, performs the conversion, and returns the real fahrenheit temperature. a main module that asks user to enter a fahrenheit temperature, calls the fahrenheittocelsius function, and displays the celsius temperature with a user-friendly message. it then asks the user to enter a celsius temperature, calls the celsiustofahrenheit function, and displays the fahrenheit temperature with a user-friendly message.

Write a function that draws a pool ball. this function should take as parameters, the color, the number that should go on the pool ball, and the location of the center of the pool ball. the radius of the pool balls should be pool_ball_radius, and the font of the number should be pool_ball_font. the text of the pool ball font should be white. drawpoolball(color.orange, 5, 100, 100); drawpoolball(color.green, 6, 50, 200); drawpoolball(color.red, 3, 150, 350); drawpoolball(color.blue, 2, 250, 140); to center the numbers on the pool ball, you should use the getwidth() and getheight() methods. you are allowed to call these methods on your text object, such as txt.

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