How to resolve the algorithm Order by pair comparisons step by step in the C programming language
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
, andstdlib.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
andx2
, which are pointers to string pointers. - It first casts these pointers to declare
s1
ands2
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
ands2
and input-1
,0
, or1
to indicate ifs1
is less than, equal to, or greater thans2
, 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.
- This function is the comparison function used by
-
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 functioninteractiveCompare
.- After sorting,
printOrder
is called to print the sorted order of the strings.
- An array of 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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