Name this program gotozero.cpp

Use a while-loop in this program.

Ask the user for a number.
Your program will count from the number to zero.
Display all the counting numbers as you go.

sample program run...

 Lab-4 gotozero program.

 Enter a number: 4
 4
 3
 2
 1
 0



After you get your program working, you may add some code so that
it will handle negative input, and still count to zero.

sample program run...

 Lab-4 gotozero program.

 Enter a number: -3
 -3
 -2
 -1
 0



For this, you should establish a stepping variable that is 1 or -1.

int step;

Use the ternary operator to set the step value.
This will be similar to defining the "sign" of a number as we learned in class.

If the user enters a positive number, the step is -1.
if the user enters a negative number, the step is  1.

This way, the same code can be used to move up or down toward zero.

Name this program highest.cpp

Write a program that asks the user to enter numbers.

Keep track of the total, and also the highest number entered.

Whenever the user enters a number, check to see if it is the
largest number so far entered. If it is the largest, then output
a message showing the largest number and the accumulated sum of all
numbers entered.

Use the number zero as a sentinel value to end the program.

Program output will look similar to below...

Lab-4 highest program

Enter a number: 5

   5 is your highest number so far!
   5 is the total

Enter a number: 2
Enter a number: 1
Enter a number: 9

   9 is your highest number so far!
   17 is the total

Enter a number: 20
Enter a number: 0

Program is ending...

   20 was your highest number.
   37 was the total.



Your program should handle negative numbers also.
Because zero is used as a sentinel or signal to end, the program
should not attempt to handle negative numbers. It will work, but it
will see the zero as a number and also a sentinel, which makes the
output confusing.


Because a user might enter many numbers before entering zero, this is a
good opportunity for you to use a file for user input.

1. put some numbers in a file
2. run your program like this:
   ./a.out < my_file

Name this program mtable.cpp

Use nested loops to print out a multiplication table.

Ask the user for the dimensions of the table.
Input of 4 would yield a 4x4 table, and look like this...

  1  2  3  4
  2  4  6  8
  3  6  9 12
  4  8 12 16

Use the setw() function to help align the columns of data. Documentation is here.
Additional header file #include <iomanip>

Examples:

cout << setw(4);
cout << setw(4) << i*j;

Set the width to a value, such as 4, for the values inside your multiplication table.
Also use setw() to align row and column headings. 

Other cout modifiers

Lab-4 multiplication table.

Enter the table dimension (square): 4

           1   2   3   4
        ----------------
   1   |   1   2   3   4
   2   |   2   4   6   8
   3   |   3   6   9  12
   4   |   4   8  12  16

Lab-4 multiplication table.

Enter the table dimension (square): 7

           1   2   3   4   5   6   7
        ----------------------------
   1   |   1   2   3   4   5   6   7
   2   |   2   4   6   8  10  12  14
   3   |   3   6   9  12  15  18  21
   4   |   4   8  12  16  20  24  28
   5   |   5  10  15  20  25  30  35
   6   |   6  12  18  24  30  36  42
   7   |   7  14  21  28  35  42  49

Gordon will find your programs on Odin during the lab.
Your programs must compile and run to receive credit.
What you don't finish in lab becomes homework.