Consider the language graph-isomorphism = {(g_1, g_2): g_1 and g_2 are isomorphic graphs}. prove that graph-isomorphism element np by describing a polynomial-time algorithm to verify the language.

Jason, samantha, ravi, sheila, and ankit are preparing for an upcoming marathon. each day of the week, they run a certain number of miles and write them into a notebook. at the end of the week, they would like to know the number of miles run each day, the total miles for the week, and average miles run each day. write a program to them analyze their data. your program must contain parallel arrays: an array to store the names of the runners and a two-dimensional array of five rows and seven columns to store the number of miles run by each runner each day. furthermore, your program must contain at least the following functions: a function to read and store the runners’ names and the numbers of miles run each day; a function to find the total miles run by each runner and the average number of miles run each day; and a function to output the results. (you may assume that the input data is stored in a file and each line of data is in the following form: runnername milesday1 milesday2 milesday3 milesday4 milesday5 milesday6 milesday7.)

Drag the tiles to the correct boxes to complete the pairs. match the errors with their definitions. #name #value #ref when a formula produces output that is too lengthy to fit in the spreadsheet cell arrowright when you enter an invalid cell reference in a formula arrowright when you type text in cells that accept numeric data arrowright when you type in a cell reference that doesn’t exist arrowright reset next

The processing of data in a computer involves the interplay between its various hardware components.