How to resolve the algorithm Order by pair comparisons step by step in the C programming language

Published on 7 June 2024 03:52 AM
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How to resolve the algorithm Order by pair comparisons step by step in the C programming language

Table of Contents

Problem Statement

Assume we have a set of items that can be sorted into an order by the user. The user is presented with pairs of items from the set in no order, the user states which item is less than, equal to, or greater than the other (with respect to their relative positions if fully ordered). Write a function that given items that the user can order, asks the user to give the result of comparing two items at a time and uses the comparison results to eventually return the items in order. Try and minimise the comparisons the user is asked for. Show on this page, the function ordering the colours of the rainbow: The correct ordering being: Note:

Let's start with the solution:

Step by Step solution about How to resolve the algorithm Order by pair comparisons step by step in the C programming language

This C program demonstrates an interactive sorting algorithm that sorts an array of strings based on user input. Here's a detailed explanation:

  • Header Files:

    • stdio.h, string.h, and stdlib.h are included for standard input/output, string manipulation, and memory allocation functions.
  • interactiveCompare Function:

    • This function is the comparison function used by qsort. It takes two arguments, x1 and x2, which are pointers to string pointers.
    • It first casts these pointers to declare s1 and s2 as pointers to strings.
    • It keeps a static variable count to track the number of comparisons made.
    • It prints a prompt asking the user to compare s1 and s2 and input -1, 0, or 1 to indicate if s1 is less than, equal to, or greater than s2, respectively.
    • It stores the user's response in the response variable.
    • Finally, it returns the user's response, which will be used by qsort to determine the sorting order.
  • printOrder Function:

    • This function is used to print the sorted order of the strings.
    • It prints an opening curly brace, iterates through the array of strings, printing each string separated by a space, and then prints a closing curly brace.
  • main Function:

    • An array of strings items is initialized with the names of different colors.
    • sizeof(items)/sizeof(*items) calculates the number of elements in the array.
    • qsort is called to sort the array of strings. It takes the array, the number of elements, the size of each element, and the comparison function interactiveCompare.
    • After sorting, printOrder is called to print the sorted order of the strings.
  • Execution:

    • When the program runs, it asks the user to compare pairs of strings interactively and provide input.
    • The interactiveCompare function is used to compare the strings based on the user's input.
    • The sorted order of the strings is printed according to the user's comparisons.

Source code in the c programming language

#include <stdio.h>
#include <string.h>
#include <stdlib.h>

int interactiveCompare(const void *x1, const void *x2)
{
  const char *s1 = *(const char * const *)x1;
  const char *s2 = *(const char * const *)x2;
  static int count = 0;
  printf("(%d) Is %s <, ==, or > %s? Answer -1, 0, or 1: ", ++count, s1, s2);
  int response;
  scanf("%d", &response);
  return response;
}

void printOrder(const char *items[], int len)
{
  printf("{ ");
  for (int i = 0; i < len; ++i) printf("%s ", items[i]);
  printf("}\n");
}

int main(void)
{
  const char *items[] =
    {
      "violet", "red", "green", "indigo", "blue", "yellow", "orange"
    };

  qsort(items, sizeof(items)/sizeof(*items), sizeof(*items), interactiveCompare);
  printOrder(items, sizeof(items)/sizeof(*items));
  return 0;
}


  

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