10-26 Exercise 3: Find roots of a quadratic equation

Question

Write a program to find roots of a quadratic equation

A quadratic equation is a second order equation having a single variable. Any quadratic equation can be represented as where a, b and c are constants ( a can't be 0) and x is unknown variable. 

寫一個找二次方程的求根程式

For Example

 is a quadratic equation where a, b and c are 2, 5 and 3 respectively.

To calculate the roots of quadratic equation we can use below formula. There are two solutions of a quadratic equation.

使用下列公式:

x = (-b + sqrt(D))/(2*a)
x = (-b - sqrt(D))/(2*a)

where, D = (b*b-4*a*c) is Discriminant (判別式), which differentiate the nature of the roots of quadratic equation.

For the complex result (複數根):

realPart = -b/(2*a);
imaginaryPart =sqrt(-D)/(2*a);

Note: We have used sqrt() function to find square root which is in math.h library.

 

Example input 1:

1 2 1

Example output 1:

Roots of 1.00x^2 + 2.00x + 1.00 = 0 are real and same
x1 = x2 = -1.00

 

Example input 2:

1 -3 2

Example output 2:

Roots of 1.00x^2 + -3.00x + 2.00 = 0 are real and different
x1 = 2.00
x2 = 1.00

 

Example input 3:

1 2 2

Example output 3:

Roots of 1.00x^2 + 2.00x + 2.00 = 0 are complex and different
x1 = -1.00+1.00i
x2 = -1.00-1.00i

Comments

We will continue this question in few days

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Everything is fixed. Enjoy your time with The Judge :)

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ANNNNNNNNNNNNNNNNNNNNNNNNNNGRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYY

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Your code has newline at the end sometime. You learned this lesson many times!

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After i correct the newline in my code,there is still wrong output.However,I had run the program in Codeblocks.The output is still as well as the result. Seeking for help.

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your output lack of 1 space at line 8 when print out "Roots of ...". Please be careful with all small details when working with online judge

Answer 1

Hidden content!
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int main()
{
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}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

Answer 2

Hidden content!
      *     * * ** * ***  
int main(void)
{
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* ** **** *** * *  ***  *** *    = (b*b-4*a*c);
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** * ***** *** * ***     = (-b - sqrt(D))/(2*a);
*****  **      **    *   ****   = -b/(2*a);
**   ** *     ***  ***      *  = sqrt(-D)/(2*a);
      ** **         * ****  (D < 0)
 * *      *             * 
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*  **   *      ** *   **       *
}

Comments

prog.c: In function 'main':
prog.c:9:16: warning: implicit declaration of function 'sqrt' [-Wimplicit-function-declaration]
     x1 = (-b + sqrt(D))/(2*a);
                ^~~~
prog.c:9:16: warning: incompatible implicit declaration of built-in function 'sqrt'
prog.c:9:16: note: include '<math.h>' or provide a declaration of 'sqrt'

Answer 3

Hidden content!
***         ***  *  **
#   * * * ***  * *    *
int main()
{

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**** ***   * **   ** ** 

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***  ** ** ** **   *   * 
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 4

Hidden content!
*    ***   *   *      
#  **   ** *  *   * *
int main()
{

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 * *** **** ***  * *** *****     *   *
**    ***** *  * **  *    * 
 * *** ****  *  *     *   *    *** * **** ** *   * = -b/(2*a);
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*****  *  ****       * **      **   **  * *      *  ****    *      *  = -%.2f+%.2fi\n", realPart,imaginaryPart);
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*    *** **    * *  ***  **  *  
*    **       ** * ** * *    if(D == 0)
 * ** **** *****  ***    ****

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***    ** **** * * **       **  *** ***** ** *   ******     ***    = x2 = %.2f", x1);
**    *  ****  * *  * **  ** 
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*** * ******  **   ****  **  **   * *  * ***  ***  * *  **    *          **  of %.2fx^2 + %.2fx + %.2f = 0 are real and  ** *   * *** *   
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   ******  *  * **  ***    **
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}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Wrong output
Case 3: Correct output

Answer 5

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
*  *** *  * *   *  *  **   a, b, c, D, spD, x1, x2;
    
* * **   * *   ********  *** *  * * *  ** **  *  %lf %lf", &a, &b ,&c)==3)
    {
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  *****  * ** *     ***  **  *    *     * **** *   * * ** * *   ***    ***  (-b-spD)/(2*a);
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*  ** *  * *** **  *   * **    *  *  * * **** ** *** ********  **    *    ** ****
      ***     * ** * *  ****  ** ** **** ***  
*    ** * * *  *   **     ** * *     *     *     **  ***     * * if(D<0)
****  * **  *** ****   * *   *  ***     ***  **  *     
 * ** ** ***** *  **  * **    **   *   ***  *  * *  ***  *   * **  **  ** * ***  * *  (-b)/(2*a);
 *   *  ** * *  *  ** **       *** *  * **   *    ****   * ** **** ** * * **  *** -x1;
** * *  *   **   ****  ***  ****     ** * * ***  * * **  **  * *   *       * *  * *   **  * *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
 * ***** * ***    * *   * *   ** ***** **    *        ** 
  *      * *  ** ****  * *  **
    
* ** * * *   * *******    **  *  *  ** * * *  *  
** *     ** * ***** *  **** * * 0;
}

Comments

Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 6

Hidden content!
#include<stdlib.h>
#include<math.h>

int main(void)
{
   * *** * *   *   * * *   ** * ** * ** a, b, c, D, spD, x1, x2;
    
*  *    ***  ***** *    **  ** * *   * ** **** %lf %lf", &a, &b ,&c)==3)
    {
  *** * *  *   *   *   *   ** * **   ****  * ****    **  - (4*a*c);
     *  ** *  **  ***      ****   * *  **   ** ***   *** **
    *  *   * **   *** * * **** ***  * *  ** ** *****   *  ****
**   ** **  * ** ** * *  * * *  ** **  * **    *     
*       *    ***  ** ***  **  ****  ** * ******* * **      ***  ** ** * * **   ***** *
  **  *   *** ** * * *****   *   ***** * ****     **  ******  *** **** ** *       * (-b+spD)/(2*a);
   ** *** * *** **  ** ***   **** * *   ****** ***     ** ***  * * *  *   *** **    *  (-b-spD)/(2*a);
* ***** * * * *     ****   ** ***  *  **    ***  *    * * *  ****** *** * *** ***  *   (x1==x2){
 ** ****** *   ***  ** *   *****  ***   ****  *  ***  * * *   *   **   ******   *    *  *  * ****   **     * * **  ***  ** ****   of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
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 * *  *  * *   **** * ** **   * **  **  *****  * * *   * * *        * *    *  {
**  **  ** *    **  *** *   *    * * **    **   * **  * *** *  * * ******    *** ** *  *  *  ** * *** * *    ****  * * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
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** *****    *  *  *   * **    ******* * *  ** * **  *    **  ****    *   *  **  ***
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 ****   *** * * **** * **  ****  *         * * * * * *  * ***     *    *      ** **    
 ** *** ***  ***  * **  * * *     ***   *  ***** 
 **  *  **** **       ** *  **  **    *  **  *** if(D<0)
 * *   *  *   *   * *  * ** ***** **  *  ***** ** ** **      
  * * ** * *   * *   **    *  * * *** *  ** **  * ** ***   *     *    **  ** ***  ** **** *  * (-b)/(2*a);
   ** **** ***** *** ** **  ** ****  *  **  ** ***    *          * * *   **  ****  ** *  * -x1;
** ** *** *  ** *  ***  ** * *  * ****  *   ********** * * *     **  *   **  * *******  ** * * **** of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
      ** * **  ** **** ** *** *  * *   **   ***   * * 
   ** * * ******* *  ****
    
**   *    * *      ***  **    ** * * *********
** *****     *  *  ***        **  * 0;
}

Comments

prog.c: In function 'main':
prog.c:8:11: warning: implicit declaration of function 'scanf' [-Wimplicit-function-declaration]
     while(scanf("%lf %lf %lf", &a, &b ,&c)==3)
           ^~~~~
prog.c:8:11: warning: incompatible implicit declaration of built-in function 'scanf'
prog.c:8:11: note: include '<stdio.h>' or provide a declaration of 'scanf'
prog.c:18:17: warning: implicit declaration of function 'printf' [-Wimplicit-function-declaration]
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
                 ^~~~~~
prog.c:18:17: warning: incompatible implicit declaration of built-in function 'printf'
prog.c:18:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:21:17: warning: incompatible implicit declaration of built-in function 'printf'
                 printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
                 ^~~~~~
prog.c:21:17: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:29:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:29:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:34:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf",a,b,c,x1);
             ^~~~~~
prog.c:34:13: note: include '<stdio.h>' or provide a declaration of 'printf'
prog.c:41:13: warning: incompatible implicit declaration of built-in function 'printf'
             printf("Roots of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
             ^~~~~~
prog.c:41:13: note: include '<stdio.h>' or provide a declaration of 'printf'

Answer 7

Hidden content!
#include<stdio.h>
#include<stdlib.h>
#include<math.h>

int main(void)
{
  *     * * ****        *     * * a, b, c, D, spD, x1, x2;
    
**  **  **   *** **** ** **** ** ** *  * *   %lf %lf", &a, &b ,&c)==3)
    {
***  ** ******  *  * *  ***  ** ****   * * *  ******    * - (4*a*c);
 *** *** ** *  ** **    *      *** ** * * *   *     * * *
*    *   **  ** ***  * * *  ** *     * ****  * *  ****   * ***     
  ** *          * *** **   **   ** ****    * *   ** 
 ** * **** **  *   * **  ** *** * ** * **** *****  *** ** ** *    ***** *  **  * ***  **********
   ****  * *    * **  ***  * *** * * *   *  ** ** * **  * *      *   *  *** ** ** * *     (-b+spD)/(2*a);
* ** *   *  **  * *     ****     *  *** **   ** *** *        ** * ** *****  * **   ***  * * (-b-spD)/(2*a);
  * ** *** ***  **** *     **    *    * **  * ***  * **  *  *  *  **** * *    *     * (x1==x2){
*  * *  ****   *  *** ***    ** ****  *  *** * * **  * *  * * * **   *** * *  *  * ** ** *   *   *  *   ****   *  ***  ****  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
  * **   *   *** **  **  * *  ** **  * *  **  ***** **  * *  *        * *   ** ****  ***
  ** * * ***   * * ** **** *** *   **    ****   * *  ******  * * * * *   * *****   {
* *   *    **  ****  **  * *******  * *   **** *    * ** * *** *    ******    *       * ** * ******* ***** *** **** *  * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf\n",a,b,c,x1,x2);
 *** *   *** ***   ** ** * *** ***** ***   *    **    ** ***  *    * * ** *** *  
 * **** * * * *  ** *** *  *    * ** *  *     *      * *
  ***** * **   ***     * *   *  *       *  *  ***   ** if(D==0)
 ********* *  ** ** *  *****  *  *** * ***    ****    
**  **   ** *   *   ***   ** *   *  *  **** *  *     * * *    * ** **  * ** * *** (-b)/(2*a);
*** **  *** ****      * * ***  *   *  **** ****  * *    * * * *   * *  ** *** 
*   ***   *** **  ***  ***** * *  * ** *    ** * ***   * *  * ** **  * * * *   * *  *
 ****  *   ****  **  **   *  *  **  * *  *        *** *    **** * **** *  ****  * * * ** **  *  *  of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
** *  *  * * * ***       **  ********   *  *** *   *   **  * ****  *     ** ** **   **
******* *  *  **** *     **  **  * *  **   ** * ** * *  *  * ***  ***       
  *** *    *    * **** *         **  * * *    *** **    *** * ****  * ***    
 **   ***  ***** * *  ** ** * ****  *   ***   *******  *****   * **   *   *
*  ***  *** * *  * ****  ***  *     ***    ** * *** *  *** *  *   **  ** ** *   **   * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = %.2lf\n",a,b,c,x1);
*  *   *** * * ****  *****      *        * ****       * ** ** *   *  * **   
* **          *        ***  ****  **   * **    *  *  
 *   ** ** * **  **      * ***** ** **  *** ***  **   *** if(D<0)
*****  *  *   *   ** ** ** **   * ***  *** ** *   *  ** ***      
 * **** *   ** * *******  *** ********  **  * ** ** *** * *   ***  **  ****  **   *  **  * (-b)/(2*a);
  * *  ********* * ***   *  ***** *  *   **     * *   **  * * *     ****   *   *  * ** -x1;
* * **     ** * *** **      *  ** * *   *    *  *  **  *    *    * ***** * *****   *     ****    of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and different\nx1 = %.2lf+%.2lfi\nx2 = %.2lf%.2lfi",a,b,c,x1,x2,x1,x1);
 *   **  ** ***    **  *     **** **      **  **  * 
**     **   ***   *** *   **
    
 *  *  ***  **  **    ****    **  *  **   *  ** ****
***    ***  * *** *  * **  ***    0;
}

Comments

Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 8

Hidden content!
**  **   * *****    *
***  ****  ***  ***
** * **         ***** **
int  * *   
*  **   ** * *  *** ** *  * * * a, b, c, D, spD, x1, x2;
 * ** *** * *   **   *    *
*   **** * *   *     *      *  **  *   **  *  %lf *   *    * *  *   &b   **  ** *
 * **     {
 ***** *  * *  ** *  * *  *   *****     *  ***     *  - (4*a*c);
****    ** * * *  **** ** *  *  * *** ** *  ** ** *
  ** ***       * **   * **
 * ***        {
 ***     ** * *   *******    * * ** ****  *  * *  * *  *     **** *
 ** *  *  ** * *** ********** *       * **** * ** *     * **** *    x1=  * *  * ***
** *  ** *     *** **  * * *   ***  *  **        *  *** * ** *     x2=   **  *  *
 *  **  *  ****** *   *  ** ** * *  **  **   ********* * *  *   if (x1==x2){
 *   **   *   ****    * * *** **  * * ** * * *   *** **   *  *   ** *       * * *  ********* of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =  * ***   * ** * ** *
* *    **    *  * **** **     ***  ***  ****  *  **  *** ** *  * *   *  *
 **  * * ** *  ****   ****  *   * ** * *  *** **  *  **    else {
   *** ******    * * *  **  **   *  **  * *     *** *      **   ****    *   *  *   * ** *     * * **** **     of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and *  * * = %.2lf\nx2 =   * *** * *  **        
*  *  *** ***   *** **     *  *** *** ** ***  ** ** ***   ** *** *   **  ** ** }
*   ** **  *** **  ***  *  * *   *   * *    *** ***  
  * **    **     *****  * * * *** ** ** **  ** * *  * * if(D==0)
***   *    * **  *        {
      * * *********      *****   *  **  ** **         *      * ** * *  ** ** *  *  *       **  
*   ** **  *  *      ** ** **  **     ** * *  **  **    *   **    ** *** * * * ***    *    
*  **  *     *    *       {
 ** * ***   * ****  ** **     **   * ***  *  *  *  **      **   * *** *   **  ** *** **  *   * of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 =  ** *  *  ** ***
  ******  *    ** ** *   *    * * *    ***   * **  *  ** **  * *   **
*    ****   **** *** * * **  *   * *  **  ***  *  **  *  * *      *   * **  * ***  
***  ** *  ******   ****  * * ****  * **   *** * * ** **  * ***** *  *  *  ***  *
   ** *           {
 *** ** *** ** * *  *  * **   *  ** ****** **  *  ***** *** ** *   * ** *** ** *   *       of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and same\nx1 = x2 = *   *  ***  *   *
* ** * **   *   * ***   **   * *  * **   ** *   *  * ** **    ** **** ** ** ***
** *   ***   *  * * ** *  * ****      **  * **  *  * *** ** 
 *        * * *    *  *  ** * **** *  *  **     *  **  * *   ***  * ***
* * *          * **   
            x1=     **** *
*******       *   *   * **  ** *  x2= -x1;
* * *  **  ***  **  *** ** *** ****     *    *    *** **     ******  *** *** * * *** ** ** * of %.2lfx^2 + %.2lfx + %.2lf = 0 are complex and  *  *   ** =     * * = * **** ** * *   * **   **
 ***  *  **** *     *   ** * *** * ** ******* ** **   *
  *  * ** ***** ** *    * *  * *
** * **  *** *****     * ***
 * **   *  **** *  * *** * *       *      **     **** **
***   *** ** *   *  ******     0;
}

Comments

/tmp/ccvUqbC2.o: In function `main':
prog.c:(.text+0x6e): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Correct output
Case 3: Wrong output

Answer 9

Hidden content!
* ****** *   *   ***   
 *    *   *  ** ** **
int main(){
*   ***  ** *    *****   *   * a,b,c;
  **  ****    *** ****  **  *    D;
*** **   *  *  ** *      * *   **** * ****  ** %lf  **** * *  ** * * *  **  **  ****
 ** *  ****   **  * * *** ** *** ** * - 4*a*c ;

**** *        *  *    ** ** *   **  of %.2fx^2 + %.2fx + %.2f = 0      * ***  

 *    ********     *  **    *        *  **** 
 ** *    ***   ****  *** *      * ** ** *****    **** * * ** *  * complex and *  * *     ****  
** * * *  *  *      ** * ****** ***  *    *** *****    * * ** =   *******   ***  ** (-b) / (2*a) ), sqrt(-D) / (2*a) );
*  *  *   * **** * * **  ** *  ** * ** *  * * *** * ***** *  ****  = *  *** ** * *  (-b) / (2*a) ), sqrt(-D) / (2*a) );
  ****** *  **   ** ***  *
*  *** ** * **   **  **** * * * if(D==0){
  ***  ** * ** *  ****** **    **    ** ***** ***  *  **  ****** ** ** real and same\n");
*****   ** * ********  * * *    ** * * *****  *  ****     * ** * ** = x2 = %.2f",( (-b) / (2*a) ) );
   **  **** ***  ** ******   **
  * *    **   *   ** ** ***  
* ****** ***  **** *   ***  ** ***   *   ***** *    ** * * *   **  real and       * ** *  
  ****  **  *** ** **  *** *  * *  * *******     *   *******   = %.2f\n",( ((-b) + sqrt(D)) / (2*a) ) );
 * ** ** *** *  ** * *    *  ** ** *  *  *  **   ** **  * **    = %.2f", ( ((-b) - sqrt(D)) / (2*a) ) );
* *  ***** * **** *  *   *

  ** ** *** ***   *     *** **       0;
}

Comments

/tmp/cc8OPUJA.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccLeUfQ5.o: In function `main':
prog.c:(.text+0x51): undefined reference to `pow'
prog.c:(.text+0xdd): undefined reference to `sqrt'
prog.c:(.text+0x13f): undefined reference to `sqrt'
prog.c:(.text+0x213): undefined reference to `sqrt'
prog.c:(.text+0x26a): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output

Answer 10

Hidden content!
#include    *  * ***  
#include <math.h>
int main()
{
** *  *   ** **    ****    a,b,c,x,y,d;
 *     *** *     ***   * **  **     **** %f * * *  ** ********    
* * *  ** ** **  ** *     ***   
  **    *  **  * **   ** *   **  ***
 * **     **  *  ** *    *  *  * ***   
****  *   ***   **  * *  *    ** (d>0){
  ** *****  *  * ** **   ***   ***  * ** of %.2fx^2 + %.2fx + %.2f = 0 are real and  *   * *  **       
**** *  *  *  ********    *   *** *    **  * = %.2f\nx2 = %.2f",x,y);
* *  *** *   * ******* ** *** 
  *     ***  **** **   * ** if (d==0){
  * ***  *** *  *** * *   ** ** *  *    *** *   of %.2fx^2 + %.2fx + %.2f = 0 are real and **  * **  * **  
 *   *  * * ** *   ** *  ** ** **   * = x2 = %.2f",x);
 ***    *  * **  ** * *   
  **  *** * ***  * *** **     ***** *
  ** *   **   ***  ***     ** ******
*   *** * ** *****   ***  * * * *  **   *  of %.2fx^2 + %.2fx + %.2f = 0 are complex and **   *** **  *   ****   
*** *        ** * * ** *  **   ***
  **  * ***  * *** ** * ****** **** **    =  ****** * ***** ***  *
 * ***** ****      **  * * * **  *   *****  = ****    * ***    
*** ** **  * ** *  ** * **

* *   *  ** ** *   *****    0;
}

Comments

/tmp/ccheVQNV.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

/tmp/ccJPGNPl.o: In function `main':
prog.c:(.text+0x87): undefined reference to `sqrt'
prog.c:(.text+0xd5): undefined reference to `sqrt'
prog.c:(.text+0x21f): undefined reference to `sqrt'
collect2: error: ld returned 1 exit status

---

-----------Re-judge-----------
Case 0: Wrong output
Case 1: Wrong output
Case 2: Wrong output
Case 3: Wrong output

---

-----------Re-judge-----------
Case 0: Correct output
Case 1: Correct output
Case 2: Correct output
Case 3: Correct output