Constructor doesn't update class member variables - c++

Question

So I am trying to implement a hash table and I am having trouble seeing what is wrong in my class or constructor. In summary when I try to reach an element of hash table array, I can in constructor, but I cannot in the member function (I get seg fault), which leads me to believe there is something wrong with my class/ constructor doesn't work.
website::website(int input) //Constructor
{
SIZE = input;
node** hashtable = new node * [SIZE];
for (int i = 0; i<SIZE; i++)
{
hashtable[i] = NULL;
if(!hashtable[i])
{
cout<<"It works at "<<i<<"th"<<endl;//This is to check
}
}
}
int website::hashfunction(const char array []) //Hash function
{
int inputsize = strlen(array);
int value = 0;
for (int i=0; i< inputsize; i++)
{
value = value + int(array[i]);
}
value = value % SIZE;
return value;
}
These functions do what they are supposed to do
but when I run this function. I get seg fault at hashtable[place]==NULL level.
int website::insert(const mainentry& input)
{
int place = 0;
node*temp = new node;
/* Ignore this part
temp->data.topic = new char[strlen(input.topic)+1];
strcpy(temp->data.topic, input.topic);
temp->data.url = new char[strlen(input.url)+1];
strcpy(temp->data.url, input.url);
temp->data.summary = new char[strlen(input.summary)+1];
strcpy(temp->data.summary, input.summary);
temp->data.review = new char[strlen(input.review)+1];
strcpy(temp->data.review, input.review);
temp->data.rating = input.rating;
*/
place = hashfunction(temp->data.topic);
cout<<"Place is: "<<place<<endl; //Hash function works correctly
if (hashtable[place]== NULL) // THIS IS THE PART I GET SEG FAULT
{
hashtable[place] = temp;
temp->next = NULL;
return 1;
}
else
{
temp->next = hashtable[place];
hashtable[place] = temp;
return 1;
}
return 0;
}
Here is my class:
class website
{
public:
website(int input);
// ~website();
int insert(const mainentry & input);
int retrieve( char [], mainentry output [] );
int edit (mainentry & input);
int remove();
int display(char []);
int display_all();
int hashfunction(const char []);
private:
int SIZE;
node ** hashtable;
};
I am assuming I am making a beginner's mistake but I can't see what is going on, if anyone can direct me, I'd appreciate it.

Answer 1

You are shadowing the class's hashtable variable in the constructor by writing:
website::website(int input) //Constructor
{
SIZE = input;
node** hashtable = new node * [SIZE]; //<<-- Shadowing. you are declaring a local scope veriable called hastable, and not using the class's instance.
}

Answer 2

node** hashtable = new node * [SIZE];
should be
hashtable = new node * [SIZE];