Implement a spell checker using a hash table with open addressing (x is the key, m the size of the hash table and i iteration):

Linear probing, h(x)=(x+i)%m
Quadratic probing, h(x)=(x+i^2)%m
Double hashing. The i-th index in the probing is computed as h(x)=(x+i*h’(x))%m, where h’ is a function mapping integers to non-zero values. A common choice is h’(x)=1+x%q, for a prime q less than m.

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#include <string.h>

#include "definition.h"

word * newWord(const char * key){   
    word * new_word = (word *)malloc(sizeof(word));
    if (new_word == NULL) {
       return NULL;
    new_word->key = (char *)calloc(strlen(key),sizeof(char));
    if (new_word->key != NULL) {
       strcpy(new_word->key, key);
    new_word->state = in_used;
    return new_word;

hashtable * newHashTable(unsigned int capacity, double factor){
    int i;
    hashtable * hash = (hashtable *)malloc(sizeof(hashtable));
    if (hash == NULL) {
       return NULL;
    hash->capacity = capacity;
    hash->size = 0;
    hash->factor = factor;
    hash->words = (word **)calloc(capacity, sizeof(word *));
    for (i = 0; i < capacity; i++) {
       hash->words[i] = NULL;

    return hash;
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