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4. Rehashing<br />
LECTURE NOTES OF ADVANCED DATA STRUCTURE (MT-CSE 110)<br />
Hash2 (Key) = R ‐ (Key % R) where R is a prime number smaller than the hash<br />
table size.<br />
If the table gets too full, the running time for the operations will start taking too<br />
long and inserts might fail with quadratic probing.<br />
The standard solution in this case is to build an entirely new hash table<br />
approximately twice the size of the original, calculate a new hash value for each<br />
key and then insert all keys into the new table (then destroying the old table).<br />
This is known as reorganization or rehashing.<br />
HASHING ALGORITHMS<br />
Hashing is a technique in which a given key field value is converted in to address<br />
of a storage location of the record by applying some operations on it.This<br />
technique is very useful for creatingand <strong>using</strong> random file organisation.<br />
A number of hash techniques are available.some examples of hashing<br />
algorithms are as follows:<br />
<strong>1.</strong> Method of division:In this method the key field value is divided by some<br />
suitable number (a prime number) so that quotient can be used as the<br />
address of the record.e.g.key field value 210 can be divided by 13 to<br />
obtain quotient 16 as address of the record.<br />
2. Division/Remainder Method:In this method key field value is divided by<br />
appropriate integer and the remainder is used as the relative address<br />
for the record. e.g. a file having 90 records with primary key values<br />
between 300 to 5000.let the divisor be 97.Then if the key values are<br />
600,1082,1540,the remainder after divison by 97 are 18,15 and 85<br />
respectively.common practice is to add 1 to the remainder.hence relative<br />
address are 19,16 & 86 respectively.<br />
Prepared By :<br />
Er. Harvinder Singh<br />
Assist Prof., CSE, H.C.T.M (Kaithal) Page ‐ 27 ‐