What is the minimum number of make set() and union() operations to obtain a set whose tree depth is 2? Using English letters for keys, list an example sequence of commands in the order they need to be executed as well as the resulting data structure to obtain a tree of depth 2. (Note: The union-by-rank is used, however, union uses find() internally and the path compression might be reducing the tree depth when making unions. Make sure to consider this when specifying the commands.)

Which two editions of windows 7 support 64 bit cpus? choose two out of professional, business, starter, or home premium.

Visually impaired individuals generally rely on the for navigation. thus, designers need to ensure that mouse-specific inputs, such as pointing, clicking, and hovering, can be done without a mouse.

Write a program that displays the following menu: geometry calculator 1. calculate the area of a circle 2. calculate the area of a rectangle 3. calculate the area of a triangle 4. quit enter your choice (1-4): if the user enters 1, the program should ask for the radius of the circle and then display its area. use the following formula: area = ď€(the square of r) use 3.14159 for ď€ and the radius of the circle for r. if the user enters 2, the program should ask for the length and width of the rectangle and then display the rectangle’s area. use the following formula: area = length * width if the user enters 3, the program should ask for the length of the triangle’s base and its height, and then display its area. use the following formula: area = base * height * .5 if the user enters 4, the program should end. input validation: display an error message if the user enters a number outside the range of 1 through 4 when selecting an item from the menu. do not accept negative values for the circle’s radius, the rectangle’s length or width, or the triangle’s base or height. note: if the user enters an improper menu choice (1-4), the program prints "the valid choices are 1 through 4. run the program again and select one of those." if the user enters a negative radius, the program prints "the radius can not be less than zero." if the user enters a negative value for height or base, the program prints "only enter positive values for base and height."