If i have char* str; how do I write a function that accepts str and can make changes to str so that, the changes persist after the function returns?
what I have is:
char *str = (char *) malloc(10);
sprintf(str, "%s", "123456789");
//str points to 1
move_ptr(&str);
//str points to 2
void move_ptr(char** str)
{
*str++;
}
is there a better way to do that?
Just access the data through the pointer, in the function:
#include <ctype.h>
#include <stdio.h>
#include <stdlib.h>
void change_string(char *str)
{
size_t i;
/* As an example, make it all upper case. */
for(i = 0; str[i]; ++i)
str[i] = toupper(str[i]);
}
int main(void)
{
char buffer[32];
char *str = buffer;
strcpy(str, "test string");
change_string(str);
printf("it's now %s\n", str);
return EXIT_SUCCESS;
}
Come to think of it, you'll notice that the standard strcpy() function is exactly of the category you describe. It's a very common operation in C.
UPDATED: The question has been significantly rewritten, now it seems to be more about changing the pointer itself, rather than the data. Perhaps this was the meaning all along, but I didn't understand.
The solution in the question is fine, but personally I find it more convenient to work with return values, if possible:
char * change_pointer(char *str)
{
return str + 1;
}
int main(void)
{
char *str = "test string";
printf("now '%s'\n", str);
str = change_pointer(str);
printf("now '%s'\n", str);
return EXIT_SUCCESS;
}
The pointer(s) could of course also be const-declared, and should be if no changes to the buffered text are needed.
Question changed
If your pointer points to readonly data, you can't change what it points to.
When one writes
char *data = "forty two";
that "forty two" is readonly data; and you can't change what the pointer data points to whether directly or through a function call.
To get a 'string' initialized from a literal constant, instead of assigning a pointer to the literal constant, copy the characters to an array
char data[] = "forty two";
Now data is an array of 10 characters (9 for the letters and space + 1 for the NUL terminator) which you can change at will.
Your example may be over simplified, but just in case... Be careful of doing things like this because you're going to leak memory. After your function call, you no longer have a pointer to (part of) the original memory you allocated.
As mentioned by unwind, returning the new pointer may be a better choice. While it achieves the same goal, it makes it more obvious that you need to keep the original pointer around for the purposes of releasing the memory. The counter argument being that it gives the impression that you can free the original pointer once you have the return value, which you can't do because they both point at (different locations) in the same memory block.
Related
I am struggling to write a char* passed as an argument. I want to write some string to char* from the function write_char(). With the below code, I am getting a segmentation fault.
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
void write_char(char* c){
c = (char*)malloc(11*(sizeof(char)));
c = "some string";
}
int main(){
char* test_char;
write_char(test_char);
printf("%s", test_char);
return 0;
}
You have two problems (related to what you try to do, there are other problems as well):
Arguments in C are passed by value, which means that the argument variable (c in your write_char function) is a copy of the value from test_char in the main function. Modifying this copy (like assigning to it) will only change the local variables value and not the original variables value.
Assigning to a variable a second time overwrites the current value in the variable. If you do e.g.
int a;
a = 5;
a = 10;
you would (hopefully) not wonder why the value of a was changed to 10 in the second assignment. That a variable is a pointer doesn't change that semantic.
Now how to solve your problem... The first problem could be easily solved by making the function return a pointer instead. And the second problem could be solved by copying the string into the memory instead of reassigning the pointer.
So my suggestion is that you write the function something like
char *get_string(void)
{
char *ptr = malloc(strlen("some string") + 1); // Allocate memory, +1 for terminator
strcpy(ptr, "some string"); // Copy some data into the allocated memory
return ptr; // Return the pointer
}
This could then be used as
char *test_string = get_string();
printf("My string is %s\n", test_string);
free(test_string); // Remember to free the memory we have allocated
Within the function
void write_char(char* c){
c = (char*)malloc(11*(sizeof(char)));
c = "some string";
}
the parameter c is a local variable of the function. Changing it within the function does not influence on the original argument because it is passed by value. That is the function deals with a copy of the original argument.
You have to pass the argument by reference through pointer to it.
Also the function has a memory leak because at first the pointer was assigned with the address of the allocated memory and then reassigned with the address of the first character of the string literal "some string".
If you want to create a copy of a string literal then what you need is the following
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
void write_char( char **s )
{
const char *literal = "some string";
*s = malloc( strlen( literal ) + 1 );
if ( *s ) strcpy( *s, literal );
}
int main( void )
{
char *test_char = NULL;
write_char( &test_char );
if ( test_char ) puts( test_char );
free( test_char );
}
The program output is
some string
Do not forget to allocate dynamically a character array that is large enough to store also the terminating zero of the string literal.
And you should free the allocated memory when the allocated array is not needed any more.
If you want just to initialize a pointer with the address of a string literal then there is no need to allocate dynamically memory.
You can write
#include <stdio.h>
void write_char( char **s )
{
*s = "some string";
}
int main( void )
{
char *test_char = NULL;
write_char( &test_char );
puts( test_char );
}
In C, you'll need to pass a pointer to a pointer. Your malloc call is trying to change the value of the variable that's being passed in, but it's actually only a copy. The real variable you pass in will not be changed.
Also, the way that you copy a string into a char* is not using assignment... Here's some revised code:
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
void write_char(char** c){
size_t len = strlen("some string");
*c = (char*)malloc(len + 1); // + 1 for null termination
strncpy(*c, "some string", len);
}
int main(){
char* test_char;
write_char(&test_char);
printf("%s", test_char);
return 0;
}
String assignment in C is very different from most modern languages. If you declare a char * and assign a string in the same statement, e.g.,
char *c = "some string";
that works fine, as the compiler can decide how much memory to allocate for that string. After that, though, you mostly shouldn't change the value of the string with =, as this use is mostly for a constant string. If you want to make that especially clear, declare it with const. You'll need to use strcpy. Even then, you'll want to stay away from declaring most strings with a set string, like I have above, if you're planning on changing it. Here is an example of this:
char *c;
c = malloc(16 * sizeof(char));
strcpy(c, "Hello, world\n");
If you're passing a pointer to a function that will reallocate it, or even malloc in the first place, you'll need a pointer to a pointer, otherwise the string in main will not get changed.
void myfunc(char **c) {
char *tmp = realloc(*c, 32 * sizeof(char));
if(tmp != NULL) {
*c = tmp;
}
}
char *c = malloc(16 * sizeof(char));
strcpy(c, "Hello, world\n");
myfunc(&c);
char* test_char="string"; // initialize string at the time of declaration
void write_char(char* c){
c = (char*)malloc(11*(sizeof(char)));
}
int main(){
char* test_char="strin";
write_char(test_char);
printf("%s", test_char);
return 0;
}
I have the following simple program which creates a pointer to the first character of a string:
char str[] = "Hello world";
char *p = &str[0];
How can I then get this string back into a variable using only the pointer?
Dereferencing the pointer just gives the first character of the string - as somewhat expected - so I'm assuming that there is no 'simple' way to achieve this and it will instead require writing extra code.
The current way I would approach this would be as follows:
Iterate from the pointer until a null terminator is reached to find the length of the string
Create a new char array with this length
Iterate through again inserting characters into this array
Is there a library function to achieve this, or if not, a simpler way that doesn't involve iterating twice?
Yes you have to "do it by hand". Because there are no objects in C - you need to take care of all that happens in the code.
You can use malloc, strlen and memcpy:
char str[] = "Hello world";
char *p = malloc(strlen(str) + 1);
if (!p) { abort(); }
memcpy(p, str, strlen(str) + 1);
You can use strcpy and forget about one strlen:
char *p = malloc(strlen(str) + 1);
if (!p) { abort(); }
strcpy(p, str);
Or you can use strdup from POSIX or a C extension:
char *p = strdup(str);
if (!p) { abort(); }
...
Is there a library function to achieve this, or if not, a simpler way that doesn't involve iterating twice?
As said in comment, strdup() will do exactly what you want. But here there is another problem (by your point of view): strcpy() will iterate the string twice, because there is no other way to duplicate a string.
By definition, strings in C are a sequence of characters somewhere in memory, with the last one character being a NUL (with single L), the value 0 (in a char). References to strings are pointers to the first character in the sequence depicted above. Note that two different strings can point to the same memory (they are not so different then...), or a string can point into the middle of another. These two cases are somewhat particular but not uncommon. The memory for strings must be managed by the programmer, who is the only one to know where allocate and deallocate space for strings; functions like strcpy() do nothing special in this regard, they are (presumably) well written and optimized, so maybe to copy a string the behavior is not plain as I depicted it before, but the idea is the same.
try this code:
#include "stdio.h"
int main(){
char str[] = "Hello world";
int count = 12;
char (*p)[12] = &str;
printf("%c\n",(*p)[0]);
printf("%c\n",(*p)[1]);
printf("%c\n",(*p)[2]);
printf("%c\n",(*p)[3]);
printf("%s\n",(*p));
}
Here's how I would make a copy of a string using only the standard library functions:
#include <stdio.h> // printf
#include <stdlib.h> // malloc
#include <string.h> // strcpy
int main(void)
{
char str[] = "Hello world"; // your original string
char *p = (char *)malloc(strlen(str) + 1); // allocate enough space to hold the copy in p
if (!p) { // malloc returns a NULL pointer when it fails
puts("malloc failed.");
exit(-1);
}
strcpy(p, str); // now we can safely use strcpy to put a duplicate of str into p
printf("%s\n", p); // print out this duplicate to verify
return 0;
}
I have been struggling for a few hours with all sorts of C tutorials and books related to pointers but what I really want to know is if it's possible to change a char pointer once it's been created.
This is what I have tried:
char *a = "This is a string";
char *b = "new string";
a[2] = b[1]; // Causes a segment fault
*b[2] = b[1]; // This almost seems like it would work but the compiler throws an error.
So is there any way to change the values inside the strings rather than the pointer addresses?
When you write a "string" in your source code, it gets written directly into the executable because that value needs to be known at compile time (there are tools available to pull software apart and find all the plain text strings in them). When you write char *a = "This is a string", the location of "This is a string" is in the executable, and the location a points to, is in the executable. The data in the executable image is read-only.
What you need to do (as the other answers have pointed out) is create that memory in a location that is not read only--on the heap, or in the stack frame. If you declare a local array, then space is made on the stack for each element of that array, and the string literal (which is stored in the executable) is copied to that space in the stack.
char a[] = "This is a string";
you can also copy that data manually by allocating some memory on the heap, and then using strcpy() to copy a string literal into that space.
char *a = malloc(256);
strcpy(a, "This is a string");
Whenever you allocate space using malloc() remember to call free() when you are finished with it (read: memory leak).
Basically, you have to keep track of where your data is. Whenever you write a string in your source, that string is read only (otherwise you would be potentially changing the behavior of the executable--imagine if you wrote char *a = "hello"; and then changed a[0] to 'c'. Then somewhere else wrote printf("hello");. If you were allowed to change the first character of "hello", and your compiler only stored it once (it should), then printf("hello"); would output cello!)
No, you cannot modify it, as the string can be stored in read-only memory. If you want to modify it, you can use an array instead e.g.
char a[] = "This is a string";
Or alternately, you could allocate memory using malloc e.g.
char *a = malloc(100);
strcpy(a, "This is a string");
free(a); // deallocate memory once you've done
A lot of folks get confused about the difference between char* and char[] in conjunction with string literals in C. When you write:
char *foo = "hello world";
...you are actually pointing foo to a constant block of memory (in fact, what the compiler does with "hello world" in this instance is implementation-dependent.)
Using char[] instead tells the compiler that you want to create an array and fill it with the contents, "hello world". foo is the a pointer to the first index of the char array. They both are char pointers, but only char[] will point to a locally allocated and mutable block of memory.
The memory for a & b is not allocated by you. The compiler is free to choose a read-only memory location to store the characters. So if you try to change it may result in seg fault. So I suggest you to create a character array yourself. Something like: char a[10]; strcpy(a, "Hello");
It seems like your question has been answered but now you might wonder why char *a = "String" is stored in read-only memory. Well, it is actually left undefined by the c99 standard but most compilers choose to it this way for instances like:
printf("Hello, World\n");
c99 standard(pdf) [page 130, section 6.7.8]:
The declaration:
char s[] = "abc", t[3] = "abc";
defines "plain" char array objects s and t whose elements are initialized with character string literals.
This declaration is identical to char
s[] = { 'a', 'b', 'c', '\0' }, t[] = { 'a', 'b', 'c' };
The contents of the arrays are modifiable. On the other hand, the declaration
char *p = "abc";
defines p with type "pointer to char" and initializes it to point to an object with type "array of char" with length 4 whose elements are initialized with a character string literal. If an attempt is made to use p to modify the contents of the array, the behavior is undefined.
You could also use strdup:
The strdup() function returns a pointer to a new string which is a duplicate of the string s.
Memory for the new string is obtained with malloc(3), and can be freed with free(3).
For you example:
char *a = strdup("stack overflow");
All are good answers explaining why you cannot modify string literals because they are placed in read-only memory. However, when push comes to shove, there is a way to do this. Check out this example:
#include <sys/mman.h>
#include <unistd.h>
#include <stddef.h>
#include <string.h>
#include <stdlib.h>
#include <stdio.h>
int take_me_back_to_DOS_times(const void *ptr, size_t len);
int main()
{
const *data = "Bender is always sober.";
printf("Before: %s\n", data);
if (take_me_back_to_DOS_times(data, sizeof(data)) != 0)
perror("Time machine appears to be broken!");
memcpy((char *)data + 17, "drunk!", 6);
printf("After: %s\n", data);
return 0;
}
int take_me_back_to_DOS_times(const void *ptr, size_t len)
{
int pagesize;
unsigned long long pg_off;
void *page;
pagesize = sysconf(_SC_PAGE_SIZE);
if (pagesize < 0)
return -1;
pg_off = (unsigned long long)ptr % (unsigned long long)pagesize;
page = ((char *)ptr - pg_off);
if (mprotect(page, len + pg_off, PROT_READ | PROT_WRITE | PROT_EXEC) == -1)
return -1;
return 0;
}
I have written this as part of my somewhat deeper thoughts on const-correctness, which you might find interesting (I hope :)).
Hope it helps. Good Luck!
You need to copy the string into another, not read-only memory buffer and modify it there. Use strncpy() for copying the string, strlen() for detecting string length, malloc() and free() for dynamically allocating a buffer for the new string.
For example (C++ like pseudocode):
int stringLength = strlen( sourceString );
char* newBuffer = malloc( stringLength + 1 );
// you should check if newBuffer is 0 here to test for memory allocaton failure - omitted
strncpy( newBuffer, sourceString, stringLength );
newBuffer[stringLength] = 0;
// you can now modify the contents of newBuffer freely
free( newBuffer );
newBuffer = 0;
char *a = "stack overflow";
char *b = "new string, it's real";
int d = strlen(a);
b = malloc(d * sizeof(char));
b = strcpy(b,a);
printf("%s %s\n", a, b);
I am a beginner in C. I wanted to make strcat function using pointers. I made it but don't know what is wrong with it. I used gcc compiler and it gave segmentation fault output.
#include<stdio.h>
#include<string.h>
char scat(char *,char *);
void main()
{
char *s="james";
char *t="bond";
char *q=scat(s,t);
while(*q!='\0') printf("the concatenated string is %c",*q);
}
char *scat(char *s,char *t)
{
char *p=s;
while(*p!='\0'){
p++;
}
while(*t!='\0'){
*p=*t;
p++;
t++;
}
return p-s-t;
}
This one works:
#include <stdio.h>
#include <string.h>
#include <stdlib.h>
char *scat(char *,char *); /* 1: your prototype was wrong */
void main()
{
char *s="james";
char *t="bond";
char *q=scat(s,t);
printf("cat: %s\n", q); /* 2: you can use %s to print a string */
free(q);
}
char *scat(char *s,char *t)
{
char *p=malloc(strlen(s)+strlen(t)+1); /* 3: you will have to reserve memory to hold the copy. */
int ptr =0, temp = 0; /* 4 initialise some helpers */
while(s[temp]!='\0'){ /* 5. use the temp to "walk" over string 1 */
p[ptr++] = s[temp++];
}
temp=0;
while(t[temp]!='\0'){ /* and string two */
p[ptr++]=t[temp++];
}
return p;
}
You have to allocate new space to copy at the end of s. Otherwise, your while loo[ will go in memory you don't have access to.
You shoul learn about malloc() here.
It is undefined behaviour to modify a string literal and s, and eventually p, is pointing to a string literal:
char* s = "james";
s is passed as first argument to scat() to which the local char* p is assigned and then:
*p=*t;
which on first invocation is attempting to overwite the null character an the end of the string literal "james".
A possible solution would be to use malloc() to allocate a buffer large enough to contain the concatentation of the two input strings:
char* result = malloc(strlen(s) + strlen(p) + 1); /* + 1 for null terminator. */
and copy them into it. The caller must remember to free() the returned char*.
You may find the list of frequently asked pointer questions useful.
Because p goes till the end of the string and then it starts advancing to illegal memory.
That is why you get segmentation fault.
It's because s points to "james\0", string literal & you cannot modify constant.
Change char *s="james"; to char s[50]="james";.
You need to understand the basics of pointers.
a char * is not a string or array of characters, it's the address of the beginning of the data.
you can't do a char * - char* !!
This is a good tutorial to start with
you will have to use malloc
You get a segmentation fault because you move the pointer to the end of s and then just start writing the data of p to the memory directly following s. What makes you believe there is writable memory available after s? Any attempt to write data to non-writable memory results in a segmentation fault and it looks like the memory following s is not writable (which is to expect, since "string constants" are usually stored in read-only memory).
Several things look out of order.
First keep in mind that when you want to return a pointer to something created within a function it needs to have been malloc'ed somewhere. Much easier if you pass the destination as an argument to the function. If you follow the former approach, don't forget to free() it when you're done with it.
Also, the function scat has to return a pointer in the declaration i.e. char *scat, not char scat.
Finally you don't need that loop to print the string, printf("%s", string); will take care of printing the string for you (provided it's terminated).
At first, your code will be in infinte loop because of the below line. you were supposed to use curely braces by including "p++; t++ " statements.
while(*t!='\0')
*p=*t;
though you do like this, you are trying to alter the content of the string literal. which will result in undefined behavior like segmentation fault.
A sequence of characters enclosed with in double quotes are called as string literal. it is also called as "string". String is fixed in size. once you created, you can't extend its size and alter the contents. Doing so will lead to undefined behavior.
To solve this problem , you need to allocate a new character array whose size is sum of the length of two strings passed. then append the two strings into the new array. finally return the address of the new array.
#include<stdio.h>
#include<string.h>
#include<stdlib.h>
char* scat(char *,char *);
void append(char *t , char *s);
int main(void)
{
char *s="james";
char *t="bond";
char *n = scat(s,t);
printf("the concatenated string is %s",n);
return 0;
}
char* scat(char *s,char *t)
{
int len = strlen(s) + strlen(t);
char *tmp = (char *)malloc(sizeof(char)* len);
append(tmp,s);
append(tmp,t);
return tmp;
}
void append(char *t , char *s)
{
//move pointer t to end of the string it points.
while(*t != '\0'){
t++;
}
while( *s != '\0' ){
*t = *s;
t++;
s++;
}
}
I have been struggling for a few hours with all sorts of C tutorials and books related to pointers but what I really want to know is if it's possible to change a char pointer once it's been created.
This is what I have tried:
char *a = "This is a string";
char *b = "new string";
a[2] = b[1]; // Causes a segment fault
*b[2] = b[1]; // This almost seems like it would work but the compiler throws an error.
So is there any way to change the values inside the strings rather than the pointer addresses?
When you write a "string" in your source code, it gets written directly into the executable because that value needs to be known at compile time (there are tools available to pull software apart and find all the plain text strings in them). When you write char *a = "This is a string", the location of "This is a string" is in the executable, and the location a points to, is in the executable. The data in the executable image is read-only.
What you need to do (as the other answers have pointed out) is create that memory in a location that is not read only--on the heap, or in the stack frame. If you declare a local array, then space is made on the stack for each element of that array, and the string literal (which is stored in the executable) is copied to that space in the stack.
char a[] = "This is a string";
you can also copy that data manually by allocating some memory on the heap, and then using strcpy() to copy a string literal into that space.
char *a = malloc(256);
strcpy(a, "This is a string");
Whenever you allocate space using malloc() remember to call free() when you are finished with it (read: memory leak).
Basically, you have to keep track of where your data is. Whenever you write a string in your source, that string is read only (otherwise you would be potentially changing the behavior of the executable--imagine if you wrote char *a = "hello"; and then changed a[0] to 'c'. Then somewhere else wrote printf("hello");. If you were allowed to change the first character of "hello", and your compiler only stored it once (it should), then printf("hello"); would output cello!)
No, you cannot modify it, as the string can be stored in read-only memory. If you want to modify it, you can use an array instead e.g.
char a[] = "This is a string";
Or alternately, you could allocate memory using malloc e.g.
char *a = malloc(100);
strcpy(a, "This is a string");
free(a); // deallocate memory once you've done
A lot of folks get confused about the difference between char* and char[] in conjunction with string literals in C. When you write:
char *foo = "hello world";
...you are actually pointing foo to a constant block of memory (in fact, what the compiler does with "hello world" in this instance is implementation-dependent.)
Using char[] instead tells the compiler that you want to create an array and fill it with the contents, "hello world". foo is the a pointer to the first index of the char array. They both are char pointers, but only char[] will point to a locally allocated and mutable block of memory.
The memory for a & b is not allocated by you. The compiler is free to choose a read-only memory location to store the characters. So if you try to change it may result in seg fault. So I suggest you to create a character array yourself. Something like: char a[10]; strcpy(a, "Hello");
It seems like your question has been answered but now you might wonder why char *a = "String" is stored in read-only memory. Well, it is actually left undefined by the c99 standard but most compilers choose to it this way for instances like:
printf("Hello, World\n");
c99 standard(pdf) [page 130, section 6.7.8]:
The declaration:
char s[] = "abc", t[3] = "abc";
defines "plain" char array objects s and t whose elements are initialized with character string literals.
This declaration is identical to char
s[] = { 'a', 'b', 'c', '\0' }, t[] = { 'a', 'b', 'c' };
The contents of the arrays are modifiable. On the other hand, the declaration
char *p = "abc";
defines p with type "pointer to char" and initializes it to point to an object with type "array of char" with length 4 whose elements are initialized with a character string literal. If an attempt is made to use p to modify the contents of the array, the behavior is undefined.
You could also use strdup:
The strdup() function returns a pointer to a new string which is a duplicate of the string s.
Memory for the new string is obtained with malloc(3), and can be freed with free(3).
For you example:
char *a = strdup("stack overflow");
All are good answers explaining why you cannot modify string literals because they are placed in read-only memory. However, when push comes to shove, there is a way to do this. Check out this example:
#include <sys/mman.h>
#include <unistd.h>
#include <stddef.h>
#include <string.h>
#include <stdlib.h>
#include <stdio.h>
int take_me_back_to_DOS_times(const void *ptr, size_t len);
int main()
{
const *data = "Bender is always sober.";
printf("Before: %s\n", data);
if (take_me_back_to_DOS_times(data, sizeof(data)) != 0)
perror("Time machine appears to be broken!");
memcpy((char *)data + 17, "drunk!", 6);
printf("After: %s\n", data);
return 0;
}
int take_me_back_to_DOS_times(const void *ptr, size_t len)
{
int pagesize;
unsigned long long pg_off;
void *page;
pagesize = sysconf(_SC_PAGE_SIZE);
if (pagesize < 0)
return -1;
pg_off = (unsigned long long)ptr % (unsigned long long)pagesize;
page = ((char *)ptr - pg_off);
if (mprotect(page, len + pg_off, PROT_READ | PROT_WRITE | PROT_EXEC) == -1)
return -1;
return 0;
}
I have written this as part of my somewhat deeper thoughts on const-correctness, which you might find interesting (I hope :)).
Hope it helps. Good Luck!
You need to copy the string into another, not read-only memory buffer and modify it there. Use strncpy() for copying the string, strlen() for detecting string length, malloc() and free() for dynamically allocating a buffer for the new string.
For example (C++ like pseudocode):
int stringLength = strlen( sourceString );
char* newBuffer = malloc( stringLength + 1 );
// you should check if newBuffer is 0 here to test for memory allocaton failure - omitted
strncpy( newBuffer, sourceString, stringLength );
newBuffer[stringLength] = 0;
// you can now modify the contents of newBuffer freely
free( newBuffer );
newBuffer = 0;
char *a = "stack overflow";
char *b = "new string, it's real";
int d = strlen(a);
b = malloc(d * sizeof(char));
b = strcpy(b,a);
printf("%s %s\n", a, b);