Implement a C++ program that prompts the user to enter two positive numbers as formatted below   Enter num1: Enter num2: Input validation MUST be completed input must be all digits input must be a positive number, Integer Overflow for the individual inputs and the sum of the inputs is now VALID and needs to be handled as described below with the ADDITION ALGORITHM. If NOT valid (non-digits or negative) then re-prompt as formatted below   INVALID RE-Enter num 3 incorrect inputs in a row and stop program. This is the 3 strikes and you're out rule.   PROGRAM ABORT ADDITION ALGORITH The input CANNOT be converted to a true int, unsigned int, long, unsigned long or long long data type The solution is to use an array to store each individual digit of the number For example, the inputted number: "1234" could be stored in the array nums backwards, so the ones position is at index 0 of the array.   4 = 10^0 (ones position) so that nums[0] = 4 3 = 10^1 (tens position) so that nums[1] = 3 2 = 10^2 (hundreds position) so that nums[2] = 2 1 = 10^3 (thousands position) so that nums[3] = 1 The program will perform the addition operation by implementing the usual paper-and-pencil addition algorithm (adding the ones digits and if greater than 10, then carry the 1 to the tens position, etc) Add starting with ones digits and carry the 1 if 10 or over. For the below example the following steps are completed sum[0] = 5+6+0(no carry over) =11 store the 1 and carry the 1 to the next index. sum[1] = 4+7+1(carry over)=12 store the 2 and carry the 1 to the next index. sum[2] = 3+8+1(carry over)  = 12 store the 2 and carry the 1 to the next index. sum[3] = 2+9+1(carry over) = 12 store the 2 and carry the 1 to the next index. sum[4] = 1+0+1(carry over) = 2 store the 2 Reverse the sum array to get the answer. The ones place at index 0, should be written as the right most value. Answer: 22221 Outputs the sum of the two positive integers when input is valid as formatted below in the example test runs. Make sure to follow the Grading Rubric and Academic Integrity guidelines outlined in the syllabus. Expected Program Output: Test Run #1 Enter num1: 12345 Enter num2: 9876     12345 +  9876 ----------   22221 Test Run #2   Enter num1: 378 Enter num2: 16429          378 + 16429 -----------    16807   Test Run #3 Enter num1: -378 INVALID RE-Enter num1: abc INVALID RE-Enter num1: 18446744073709551616   Enter num2: 16abc INVALID RE-Enter num2: -16 INVALID RE-Enter num2: 18446744073709551616      18446744073709551616 + 18446744073709551616  -----------------------------------    36893488147419103232   Test Run #4 Enter num1: -378 INVALID RE-Enter num1: abc INVALID RE-Enter num1: 18446744073709551614   Enter num2: 16abc INVALID RE-Enter num2: -16 INVALID RE-Enter num2: -2   PROGRAM ABORT   Test Run #5   Enter num1: -378 INVALID RE-Enter num1: abc INVALID RE-Enter num1: 18446744073709551619   Enter num2: 16abc INVALID RE-Enter num2: -16 INVALID RE-Enter num2: 1       18446744073709551619 +                                        1 ------------------------------------     18446744073709551620   Test Run #6   Enter num1: 111213141516171819 Enter num2: 2132435465768798       111213141516171819 +     2132435465768798 ---------------------------------     113345576981940617

C++ for Engineers and Scientists
4th Edition
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Bronson, Gary J.
Chapter4: Selection Structures
Section4.2: The If-else Statement
Problem 3E
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  1. Implement a C++ program that prompts the user to enter two positive numbers as formatted below

     
    Enter num1:
    Enter num2:
    • Input validation MUST be completed
      • input must be all digits
      • input must be a positive number,
    • Integer Overflow for the individual inputs and the sum of the inputs is now VALID and needs to be handled as described below with the ADDITION ALGORITHM.
    • If NOT valid (non-digits or negative) then re-prompt as formatted below
       
      INVALID RE-Enter num
      • 3 incorrect inputs in a row and stop program. This is the 3 strikes and you're out rule.
       
      PROGRAM ABORT
        1. ADDITION ALGORITH

        • The input CANNOT be converted to a true int, unsigned int, long, unsigned long or long long data type

        • The solution is to use an array to store each individual digit of the number

        • For example, the inputted number: "1234" could be stored in the array nums backwards, so the ones position is at index 0 of the array.

           
          4 = 10^0 (ones position) so that nums[0] = 4
          3 = 10^1 (tens position) so that nums[1] = 3
          2 = 10^2 (hundreds position) so that nums[2] = 2
          1 = 10^3 (thousands position) so that nums[3] = 1
        • The program will perform the addition operation by implementing the usual paper-and-pencil addition algorithm (adding the ones digits and if greater than 10, then carry the 1 to the tens position, etc)

          • Add starting with ones digits and carry the 1 if 10 or over. For the below example the following steps are completed
            • sum[0] = 5+6+0(no carry over) =11 store the 1 and carry the 1 to the next index.
            • sum[1] = 4+7+1(carry over)=12 store the 2 and carry the 1 to the next index.
            • sum[2] = 3+8+1(carry over)  = 12 store the 2 and carry the 1 to the next index.
            • sum[3] = 2+9+1(carry over) = 12 store the 2 and carry the 1 to the next index.
            • sum[4] = 1+0+1(carry over) = 2 store the 2
            • Reverse the sum array to get the answer. The ones place at index 0, should be written as the right most value.
            • Answer: 22221
      1. Outputs the sum of the two positive integers when input is valid as formatted below in the example test runs.
      2. Make sure to follow the Grading Rubric and Academic Integrity guidelines outlined in the syllabus.

      Expected Program Output:

      Test Run #1

      Enter num1: 12345
      Enter num2: 9876
       
        12345
      +  9876
      ----------
        22221

      Test Run #2

       
      Enter num1: 378
      Enter num2: 16429
       
             378
      + 16429
      -----------
         16807
       

      Test Run #3

      Enter num1: -378
      INVALID RE-Enter num1: abc
      INVALID RE-Enter num1: 18446744073709551616
       
      Enter num2: 16abc
      INVALID RE-Enter num2: -16
      INVALID RE-Enter num2: 18446744073709551616
       
         18446744073709551616
      + 18446744073709551616
       -----------------------------------
         36893488147419103232
       

      Test Run #4

      Enter num1: -378
      INVALID RE-Enter num1: abc
      INVALID RE-Enter num1: 18446744073709551614
       
      Enter num2: 16abc
      INVALID RE-Enter num2: -16
      INVALID RE-Enter num2: -2
       
      PROGRAM ABORT
       

      Test Run #5

       
      Enter num1: -378
      INVALID RE-Enter num1: abc
      INVALID RE-Enter num1: 18446744073709551619
       
      Enter num2: 16abc
      INVALID RE-Enter num2: -16
      INVALID RE-Enter num2: 1
       
          18446744073709551619
      +                                        1
      ------------------------------------
          18446744073709551620
       

      Test Run #6

       
      Enter num1: 111213141516171819
      Enter num2: 2132435465768798
       
          111213141516171819
      +     2132435465768798
      ---------------------------------
          113345576981940617
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ISBN:
9781133187844
Author:
Bronson, Gary J.
Publisher:
Course Technology Ptr