In Python, create a new Jupyter Notebook.

Title the Notebook Math 272 Python Assignment 2. This is easily done by

starting a cell in the rawNBConvert mode, typing a #, and then the title. Skip

a line and enter your name and the date. Next, change the mode to markdown

and then run the cell.

In this lab we wish to experiment with integer division and remainder (mod)

functions. In Python, integer divsion is implemented through //, and the mod

function by the percent operator, so that 11 mod 3 is written 11 % 3.

1.1 procedure

Begin by copying and running the following code (print statements will need to

be in separate cells to show):

import random

random.seed(my_coyote_id)

a = random.randint(3,10)

b = random.randint(3,10)

print(a)

print(b)

1. Find 23 / 11

2. Find q = 23 // 11 and r = 23 % 11

3. Verify 23 = 11*q+r

4. Find q = -23 // 11 and r = -23 % 11

5. Verify -23 = 11*q+r

6. Find q = 23 // b and r = 23 % b with b from above.

7. Verify 23 = b*q+r

8. Try the list comprehension [ n % 7 for n in range(360, 367)]

9. Try [(4*n +4*n**2 +1) % 8 for n in range(30)].

10. What is 365 %7? In 2018, October 25 is a Thursday. What day of the

week will it be next year (October 25 2019, in 365 days)? What day of

the week will October 25, 2028 be? (dont forget leap years!).