(complete the problem-solving discussion in word for programming challenge 2 on page 404. your problem-solving discussion should include problem statement, problem analysis, program design, program code and program test in words document.) create a program that will find and display the largest of a list of positive numbers entered by the user. the user should indicate that he/she has finished entering numbers by entering a 0.

The approach to the question and appropriate comments are given below in C++

Explanation:

Problem statement:

Write a program that will find and display the largest of a list of positive numbers entered by the user. The user should indicate that he/she has finished entering numbers by entering a 0.

Problem Analysis:

It can be completed in worst-case O(n) complexity, best case O(1) (if the first number is maxed element)

Program Design:

1. Start

2. Take the list of positive numbers for the user until he/she enter 0.

3. store the entered numbers in an array

4. find the max number from it.

5. Print the output

6. End

Program Code:

#include<iostream>

using namespace std;

int main(){

  int num = 0, *array = NULL, i= 0, counter = 0, max = 0;

  cout<<"Enter a list of positive numbers to find the maximum out of it and if you enter 0 that is the last number: \n";

  array = new int;

  /*Taking input from user until he/she enters 0*/

  while(1){

      cin>>num;

      array[i] = num;

      i++;counter++;

      if(num == 0)

          break;  

  }

  cout<<"Print user input numbers: \n";

  for(int i=0;i<counter;i++)

      cout<<"list["<<i<<"] --> "<<array[i]<<"\n";

  cout<<"\n";

  /*Find max element*/

  max = array[0];

  for(int i=0;i<counter;i++){

      if(array[i] > max)

          max = array[i];  

  }

  cout<<"Max number = "<<max<<"\n";      

  delete array;  

  return 0;

}