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!
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int main(void)
{
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  *   *    *    * *** ***   *  = (b*b-4*a*c);
******   ************ *** *  * = (-b + sqrt(D))/(2*a);
      *   * * *   *** *   **** * = (-b - sqrt(D))/(2*a);
***** ** ****  ****** *  = -b/(2*a);
 *  *      **** *** *  ***  * ** = sqrt(-D)/(2*a);
** *    *****  * ***     **** ** (D < 0)
**   ***    *  **  ***    *** *  
*******     *  **   ***  ******  ** complex and   **    *** **
** ***      **  ***** * ***   ***   *  = ** *** **  **  ** *** *   ** *** 
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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!
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# * ****  * *    *** 
int main()
{

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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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* *  * ***   *********  *  
*   ** **  *     * * *  **   * if(D == 0)
* * *  *  * **     ***********

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 ***  * ***** * *  **  **    *
*  * ****** * *  *   *   *** 0;

}

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)
{
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**  ** *        *  **      * *** ** **** *   **  %lf %lf", &a, &b ,&c)==3)
    {
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***  * ** * *  ***     **   ****   * * ** *  ** 
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*    *  * *     *** **    ** ** *    *** * * **  *  *    **  ***  * ******  * * ** ** **** (-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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***** ** *   **  ***    *      * * ***  ***   * ****    * * ** * * * ***   **  **  *
****  ** **  *   *     * ** ** *  ** *  *   ** *** *  *
* ** * *  * **   * * ** **** ***   *  ** * * ***  *   *  * 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);
*     ** **  **  ***   ** * *  ** ** **  ****     *  ** *  ****  * *  **   **    *
** *     * *** *** *** *** ** * * **** **** *** *** *   ***  * *   * * *    * ** *  {
** ** * * *  **  * **    *** *  *  * ***  *     ***  ** ***** * * ***  ** *    *     **    *  *  ** * ** * *  *     *  **       of %.2lfx^2 + %.2lfx + %.2lf = 0 are real and different\nx1 = %.2lf\nx2 = %.2lf",a,b,c,x1,x2);
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 *     *  **** * ****  ***   *    *  **  *** *  ****  * *
* ****  *   ***  ** * ** **** *  *** **   * * ** **       *  if(D==0)
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*   * *   *   * ***  **    *   ** ***    *  *******  **** * *** ***** * * * *   **
   * * *  *   * *** *     *   *  **  *** **  * * ***   
 *** **    *   *****     ** * * * *   *  *    **  *  * * if(D<0)
 **   ******* * **  * ** *  * * * * *  ***** ** **  *     
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 * *  * * * *   **   ****** *     *  *   * ** *   ** **  * ** * ****  *  -x1;
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**  *   **   * * *   * **    * * *    *** * * *** ** **
 **   *  *     **   * * ***** *
    
***  ** ******** *       *       * ** ***     
**       *  *   **  ***  * ****  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);
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  *  *      **  *  *   **  **** **  **  ***** **  **  ** 
  *   * ***  * *   * **    *  ****   *  * * **    *    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