Monday, July 6, 2015

Rehashing

Medium Rehashing

25%
Accepted
The size of the hash table is not determinate at the very beginning. If the total size of keys is too large (e.g. size >= capacity / 10), we should double the size of the hash table and rehash every keys. Say you have a hash table looks like below:
size=3capacity=4
[null, 21, 14, null]
       ↓    ↓
       9   null
       ↓
      null
The hash function is:
int hashcode(int key, int capacity) {
    return key % capacity;
}
here we have three numbers, 9, 14 and 21, where 21 and 9 share the same position as they all have the same hashcode 1 (21 % 4 = 9 % 4 = 1). We store them in the hash table by linked list.
rehashing this hash table, double the capacity, you will get:
size=3capacity=8
index:   0    1    2    3     4    5    6   7
hash : [null, 9, null, null, null, 21, 14, null]
Given the original hash table, return the new hash table after rehashing .
Have you met this question in a real interview? 
Yes
Example
Given [null, 21->9->null, 14->null, null],
return [null, 9->null, null, null, null, 21->null, 14->null, null]
Note
For negative integer in hash table, the position can be calculated as follow:
  • C++/Java: if you directly calculate -4 % 3 you will get -1. You can use function: a % b = (a % b + b) % b to make it is a non negative integer.
  • Python: you can directly use -1 % 3, you will get 2 automatically.
/**
 * Definition for ListNode
 * public class ListNode {
 *     int val;
 *     ListNode next;
 *     ListNode(int x) {
 *         val = x;
 *         next = null;
 *     }
 * }
 */
public class Solution {
    /**
     * @param hashTable: A list of The first node of linked list
     * @return: A list of The first node of linked list which have twice size
     */    
    public ListNode[] rehashing(ListNode[] hashTable) {
        // write your code here
        int len = hashTable.length * 2;
        ListNode[] newTable = new ListNode[len];
        
        for(int i = 0; i < hashTable.length; i++){
            
            ListNode node = hashTable[i];
            
            while(node != null){
                
                int index = node.val >= 0 ? node.val % len : (node.val % len + len) % len;
                if(newTable[index] == null){
                    newTable[index] = new ListNode(node.val);
                } else{
                    ListNode temp = newTable[index];
                    while(temp.next != null){
                        temp = temp.next;
                    }
                    temp.next = new ListNode(node.val);
                }
                node = node.next;
            }
        }
        return newTable;
        
        
    }
};



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