$1.$ Write a C$++$ program that does the following:

a$.$ Create a C$++$ file with the name problem$1.$cpp$.$

b$.$ Write the function fillCharArray, which has a two$-$dimensional character array and two integers as parameters filling each element of the array parameter with a randomly chosen lower case letter.

c$.$ Write the function randomChar,$$which returns a randomly generated lowercase character. Generate an integer randomly from the range of $97$ to $122$ and cast it as a char to obtain the random lowercase letter. This function does not require any parameters.

d$.$ Write the function printArray, which has a two$-$dimensional character array and two integers as parameters printing the elements of the character array parameter separated by spaces, with each row printed on a separate line.

e$.$ Write the function vowelsPerRow, which has a two$-$dimensional character array, a one$-$dimensional integer array and two integers as parameters counting the number of vowels in each row of the character array. $$The count for row i is stored in element i of the integer array.

f$.$ Write the function vowelsPerCol, which has a two$-$dimensional character array, a one$-$dimensional integer array and two integers as parameters counting the number of vowels in each column of the character array. $$The count for column i is stored in element i of the integer array.

g$.$ Write the function printVowelRows, which takes a one$-$dimensional integer array and an integer as parameters, printing the vowel count for rows with a positive count.

h$.$ Write the function printVowelCols, which takes a one$-$dimensional integer array and an integer as parameters, printing the vowel count for columns with a positive count.

i$.$ Write the main function that does the following:

i$.$ Declare a $2$ x $4$ character array.

ii$.$ Declare an integer array of size $2.$

iii. Declare an integer array of size $4.$

iv$.$ Call the srand function to seed the random number generator using time$(0).$

v$.$ Call the function fillCharArray, passing into it the character array, $2,$ and $4.$

vi$.$ Call the function printArray, passing into it the character array, $2,$ and $4.$

vii. Call the function vowelsPerRow, passing into it the character array, the integer array of size $2,2,$ and $4.$

viii. Call the function vowelsPerCol, passing into it the character array, the integer array of size $4,2,$ and $4.$

ix$.$ Call the function printVowelRows, passing into it the integer array of size $2,$ and $2.$

x$.$ Call the function printVowelCols, passing into it the integer array of size $4,$ and $4.$

Sample run of the program:

v j x l

v e n u

Row $1$ contains $2$ vowels.

Col $1$ contains $1$ vowel.

Col $3$ contains $1$ vowel.

Another sample run of the program:

j a x l

o i n q

Row $0$ contains $1$ vowel.

Row $1$ contains $2$ vowels.

Col $0$ contains $1$ vowel.

Col $1$ contains $2$ vowels.