Algorithm Analysis Start with 102 coins on a table, 98 showing heads and 4 showing tails. There are two ways to change the coins: • flip over any ten coins, or • place n+ 1 additional coins, all showing tails, on the table where n is the number of heads currently showing on the table. For example, you might begin by flipping nine heads and one tail, yielding 90 heads and 12 tails, then add 91 tails, yielding 90 heads and 103 tails. (a) Model this situation as a state machine, carefully defining the set of states, the start state, and the possible state transitions. (b) Optionally, explain how to reach a state with exactly one tail showing. (c) Consider the following derived variables:
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- Given a list of scores and a passing score, you are asked to find out the average score and the number of scores which are equal to or higher than the passing score. For examples, the list of scores is as follows: 46, 58, 56, 59, 89, 93, 77, 98, 100, 64 If the passing score is 60, then the answers should be 74 and 6. If the passing score is 55, then the answers should be 74 and 9. Implement the above task using MIPS in QtSpim. Initialize the array of scores in memory using any integer values between 0 and 100. The passing score should be obtained from user’s input and the answer must be printed out. See the following screen snapshot for reference.Write an algorithm that accepts a 2-digit number ranging from 20 to 99 and display all pair of 2-digit combinations that will sum up to your input.For example, let's assume that the user entered a 25, the algorithm should be able to display the following:15+10, 14+11, 13+12the positioning of these numbers doesn't make a difference so, if 15+10 is displayed, you don't have to display 10+15.HINT: There is a pattern on how the left digit is decremented and the right digit is incremented by 1.A group of people, numbered 1 to N, are sitting in a circle. Starting at person 1, a hot potato is passed. After x number of passes, the person holding the hot potato is eliminated, the circle closes ranks, and the game continues with the person who was sitting after the eliminated person picking up the hot potato. The last remaining person wins. For example: number of passes = 1 and number of players = 5, the order of elimination is 2, 4, 1, 5. Write a program for general values of X and N. Ask a user for the number of people and number of passes To speed up the input and debugging, you may wish to store the names of the people in a file. Make sure no two names start the same letter ( Alex and Ana are not OK). Alternatively, you can number the players. Output number and/or the name of a person being eliminated Output number and the name of the winner Do not expect a user to do the right thing, error check the user input; among other things, what do you think a reasonable…
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