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luc063.c

Problem Statement

The X and Y coordinates of 10 different points are entered through the keyboard. Write a program to find the distance of last point from the first point (sum of distances between consecutive points).

Metadata

Property Detail
Author Amit Dutta amitdutta4255@gmail.com
Date 08 Feb 2026
License MIT License (See the LICENSE file for details)
Difficulty Beginner (index: 1 / 10)

Concepts

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  • Pointers
  • Array
  • Sorting (possible)
  • Iteration

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Source Code

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

int main()
{
    double x[10], y[10];
    double total_distance = 0.0;
    int i;

    printf("Enter coordinates (x, y) for 10 points:\n");
    for (i = 0; i < 10; i++)
    {
        printf("Point %d: ", i + 1);
        scanf("%lf %lf", &x[i], &y[i]);
    }

    // Sum of distances between consecutive points P(i) and P(i+1)
    for (i = 0; i < 9; i++)
    {
        double dx = x[i+1] - x[i];
        double dy = y[i+1] - y[i];
        total_distance += sqrt(dx*dx + dy*dy);
    }

    printf("\nTotal distance from first to last point: %.2f\n", total_distance);

    return 0;
}

Explanation

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    You are explaining a C programming code to a beginner.

    STRICT RULES:

    - Only use the given code. Do NOT assume anything not present.

    - Do NOT add extra examples.

    - Keep explanation clear and short.

    - If something is unclear, say "Not clear from code".

    - Follow the exact format below. Do NOT change headings.

    FORMAT:

    [START]

    ## What it does

    (Explain the overall purpose in 1-2 sentences)

    ## Step-by-step

    (Explain how the code works in steps, simple language)

    ## Key Concepts

    (List concepts like loop, condition, function, etc.)

    ## Notes

    (Mention any limitations, errors, or assumptions)

    [END]

    CODE (luc063.c):

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

    int main()
    {
        double x[10], y[10];
        double total_distance = 0.0;
        int i;

        printf("Enter coordinates (x, y) for 10 points:\n");
        for (i = 0; i < 10; i++)
        {
            printf("Point %d: ", i + 1);
            scanf("%lf %lf", &x[i], &y[i]);
        }

        // Sum of distances between consecutive points P(i) and P(i+1)
        for (i = 0; i < 9; i++)
        {
            double dx = x[i+1] - x[i];
            double dy = y[i+1] - y[i];
            total_distance += sqrt(dx*dx + dy*dy);
        }

        printf("\nTotal distance from first to last point: %.2f\n", total_distance);

        return 0;
    }