Problem 1 Write a program that prompts the user for x and y coordinates, a direction, and a distance, then prints out the user's coordinates after moving the given distance in the given direction from the original position. If the user enters any direction other than "up", "down", "left", or "right", they will not move; just print out their original location. If they move up or down, add or subtract their distance (respectively) to the y coordinate. If they move right or left, add or subtract (respectively) the distance to the x coordinate. The user is allowed to enter a negative distances, and all coordinates and distances will be integers. Sample output: Enter the x coordinate: 3 Enter the y coordinate: 4 Enter the direction (up, down, left, or right): down Enter the distance to move: 5 Final destination: (3, -1)

Problem 2 Write a program that prompts the user for two x and y coordinates. The program then prints two moves that will take the user from the first coordinate to the second using the shortest possible distance. Each move consists of a distance and a direction: up, down, left, right, up-left, up-right, down-left, and down-right. The directions are essentially the same as in the previous problem, though the four diagonal directions affect both the x and y coordinates. Unlike the previous problem, all distances must be positive or 0. You may use moves of distance 0 if you only need 1 (or 0) moves to reach the destination. Hint: to find the shortest possible path, you will need to use the diagonal directions if possible. Start by deciding on a basic direction and which coordinate is closer to the target. Sample output: Enter the starting x coordinate: 0 Enter the starting x coordinate: 0 Enter the ending x coordinate: 1 Enter the ending y coordinate: 4 Shortest path: move 1 unit(s) up-right, then 3 unit(s) up Sample output with a move of distance 0: Enter the starting x coordinate: 2 Enter the starting y coordinate: -1 Enter the ending x coordinate: 0 Enter the ending y coordinate: 1 Shortest path: move 2 unit(s) up-left, then 0 unit(s) up

Problem 3 Write a program that prompts the user to enter grades and stores all of these grades in a list. When the user enters a negative value, print out the mean and standard deviation of all grades to 2 decimal places and end the program. If the user entered a negative value as the first value, instead print a message that mean and standard deviation are undefined. The mean of n numbers x1, x2, ..., xn equals (x1 + x2 + ... + xn) / n, and the standard deviation of these numbers is sqrt(1/n * ((x1 - u)^2 + (x2 - u)^2 + ... + (xn - u)^2)), where u represents the mean. Sample output: Enter class grades (-1 when finished): 100 90 80 70 60 -1 Mean: 80.00 Standard deviation: 14.14

Problem 4 Write a program that prompts the user to enter a sentence and prints a disemvoweled version of that sentence 100 times. To "disemvowel" means to remove all of the vowels (a, e, i, o, and u) from the sentence. You should remove upper- and lowercase vowels, but non-vowel characters should stay the same. For this problem, y is not considered a vowel. Hint: create a second variable to store the "disemvoweled" version of the sentence. Sample output (abbreviated): Enter text: No, YOU'RE being toxic! N, Y'R bng txc! N, Y'R bng txc! N, Y'R bng txc! N, Y'R bng txc! N, Y'R bng txc! (repeated 95 more times)