Write a function addupsquaresandcubes that adds up the squares and adds up the cubes of integers from 1 to n, where n is entered by the user. this function should return two values - the sum of the squares and the sum of the cubes. use just one loop that generates the integers and accumulates the sum of squares and the sum of cubes.

then, write two separate functions sumofsquares and sumofcubes to calculate the sums of the squares and sum of the cubes using the explicit formula below.

1**2 + 2**2 + 3**2 + + n**2 = n(n+1)(2n+1)/6
1**3 + 2**3 + 3**3 + + n**3 = n**2(n+1)**2/4
write functions to add these formulas to your program and print out their results as well as that of the explicit summations. the user dialog will look something like this:

warning: the equations above a math equation and the syntax may not work for python as written.

the sum of squares is 55
the sum of cubes is 225

the explicit sum of squares is 55
the explicit sum of cubes is 225