Lab Assignment - Solve 1 problem from the list below.

• Problem 1:
  Write a function max_col_zero that has 3 parameters - 2D list of integers, row and col. The function counts the number of zeros in each col, create a list of counters to keep the results, and finds the index of the column with max number of zeros. The function returns: list of counters, index of the column with max number of zeros and the max value.

  Write a program that randomly generates a 2D list of integers (range of the integers from -1 to 1). Print the 2D list in the TABLE form. Use function max_col_zero to find and print the list of counters, max counter and index of the column with the max number of zeros

• Problem 2:
  Write a function prime that has one parameter - integer number. The function returns True if the integer is prime and False otherwise. Write a function count_prime_row that counts the number of primes in each row. Store counters in one dimensional list. Find the index of the row with max number of prime numbers. Function returns: list of counters, index of the row, max value.

  Write a program that randomly generates a 2D list of integers (range of the integers from 0 to 1000). Print the 2D list in the TABLE form. Use function count_prime_row to find and print the list of counters, max counter and index of the row with the max number of prime numbers

• Problem 3:
  Write a function replace_sum that has one parameter - 1D list of integers. The function creates a new list using the following rule: each number is replaced by the sum of two numbers from the left and from the right. For the first element the number from the left is the last element of the list. For the last element the number from the right is the first element. Function returns the new list.

  Example: in the example below I wrote how the sum was obtained, but in your program you only need to store the final result for the sum.

  old_list=[3, 4, 1, -2, 6, 7, 10, -3]

  new_list=[-3+4, 3+1, 4+(-2), 1+6, -2+7, 6+10, 7+(-3), 10+3]=[1, 4, 2, 7, 5, 16, 4, 13]

  Write a program that randomly generates a 2D list of integers (range of the integers from -5 to 5). The program creates a new 2D list replacing each row with the new row using the function replace_sum. Print old and new 2D lists in TABLE form.

• Problem 4: Write a function find_word that has 4 parameters - 2D list of characters, row, col, and 1D list of strings, we will call them words. For each word in 1D list the function finds the rows (index) of 2D list in which the word appears. Keep this information in the 1D list, and create a 2D list to store locations for all words. Function returns the 2D list of locations. Pay attendtion, in this case the resuting 2D list will have different number of items in each row. If the word doesn't appear in ANY row, the list will consist one number -1.

  Write main to test your program. make both lists user input.

  Example 2D list is:

  ['g', 'a', 'm', 'e', 'i', 'n']

  ['g', 'a', 'm', 'e', 'n', 'o']

  ['b', 'o', 'n', 'y', 'n', 'o']

  ['a', 'r', 'a', 'i', 'n', 'a']

  ['b', 'o', 'n', 'y', 'm', 'n']

  ['n', 'o', 'r', 'a, 'i', 'n']

  1D list of words is ['python', 'desk', 'program', 'yana', 'game', 'bony', 'rain','no']

  Output: [[-1], [-1], [-1], [-1], [0, 1], [2,4], [3, 5], [1, 2, 5]]