In data structure Hash, hash function is used to convert a string(or any other type) into an integer smaller than hash size and bigger or equal to zero. The objective of designing a hash function is to “hash” the key as unreasonable as possible. A good hash function can avoid collision as less as possible. A widely used hash function algorithm is using a magic number 33, consider any string as a 33 based big integer like follow:

hashcode("abcd")
    = (ascii(a) * 333 + ascii(b) * 332 + ascii(c) *33 + ascii(d)) % HASH_SIZE 
    = (97* 333 + 98 * 332 + 99 * 33 +100) % HASH_SIZE
    = 3595978 % HASH_SIZE

Clarification

For this problem, you are not necessary to design your own hash algorithm or consider any collision issue, you just need to implement the algorithm as described.

Example

For key = "abcd" and size = 100, return 78

class Solution {
    /**
     * @param key: A String you should hash
     * @param HASH_SIZE: An integer
     * @return an integer
     */
    public int hashCode(char[] key,int HASH_SIZE) {
        long res = 0;
        long pow = 1;
        for(int i = 0; i < key.length; i++) {
            char c = key[key.length - 1 - i];
            res += (c  * pow) % HASH_SIZE;
            pow = (pow * 33) % HASH_SIZE;
        }
        return (int)(res % HASH_SIZE);
    }
}