How does a Java HashMap handle different objects with the same hash code

Question

As per my understanding I think    It is perfectly legal for two objects to have the same hashcode  If two objects are equal  using the equals   method  then they have the same hashcode  If two objects are not equal then they cannot have the same hashcode   Am I correct   Now if am correct  I have the following question  The HashMap internally uses the hashcode of the object  So if two objects can have the same hashcode  then how can the HashMap track which key it uses   Can someone explain how the HashMap internally uses the hashcode of the object

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As it is said  a picture is worth 1000 words  I say  some code is better than 1000 words  Here s the source code of HashMap  Get method              Implements Map get and related methods                param hash hash for key         param key the key         return the node  or null if none             final Node lt K V gt  getNode int hash  Object key            Node lt K V gt    tab  Node lt K V gt  first  e  int n  K k          if   tab   table     null  amp  amp   n   tab length   gt  0  amp  amp               first   tab  n - 1   amp  hash      null                if  first hash    hash  amp  amp     always check first node                   k   first key     key     key    null  amp  amp  key equals k                     return first              if   e   first next     null                    if  first instanceof TreeNode                      return   TreeNode lt K V gt  first  getTreeNode hash  key                   do                       if  e hash    hash  amp  amp                            k   e key     key     key    null  amp  amp  key equals k                             return e                    while   e   e next     null                                   return null          So it becomes clear that hash is used to find the  bucket  and the first element is always checked in that bucket  If not  then equals of the key is used to find the actual element in the linked list   Let s see the put   method                Implements Map put and related methods                param hash hash for key         param key the key         param value the value to put         param onlyIfAbsent if true  don t change existing value         param evict if false  the table is in creation mode          return previous value  or null if none             final V putVal int hash  K key  V value  boolean onlyIfAbsent                     boolean evict            Node lt K V gt    tab  Node lt K V gt  p  int n  i          if   tab   table     null     n   tab length     0              n    tab   resize    length          if   p   tab i    n - 1   amp  hash      null              tab i    newNode hash  key  value  null           else               Node lt K V gt  e  K k              if  p hash    hash  amp  amp                    k   p key     key     key    null  amp  amp  key equals k                     e   p              else if  p instanceof TreeNode                  e     TreeNode lt K V gt  p  putTreeVal this  tab  hash  key  value               else                   for  int binCount   0      binCount                        if   e   p next     null                            p next   newNode hash  key  value  null                           if  binCount  gt   TREEIFY THRESHOLD - 1     -1 for 1st                             treeifyBin tab  hash                           break                                            if  e hash    hash  amp  amp                            k   e key     key     key    null  amp  amp  key equals k                             break                      p   e                                              if  e    null       existing mapping for key                 V oldValue   e value                  if   onlyIfAbsent    oldValue    null                      e value   value                  afterNodeAccess e                   return oldValue                                    modCount          if    size  gt  threshold              resize            afterNodeInsertion evict           return null          It s slightly more complicated  but it becomes clear that the new element is put in the tab at the position calculated based on hash   i    n - 1   amp  hash here i is the index where the new element will be put  or it is the  bucket    n is the size of the tab array  array of  buckets     First  it is tried to be put as the first element of in that  bucket   If there is already an element  then append a new node to the list

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It gonna be a long answer   grab a drink and read on      Hashing is all about storing a key-value pair in memory that can be read and written faster  It stores keys in an array  and  values in a LinkedList    Lets Say I want to store 4 key value pairs -       girl      gt     ahhan          misused      gt     Manmohan Singh          horsemints      gt     guess what         no      gt     way        So to store the keys we need an array of 4 element   Now how do I map one of these 4 keys to 4 array indexes  0 1 2 3     So java finds the hashCode of individual keys and map them to a particular array index    Hashcode Formulae is -   1  reverse the string   2  keep on multiplying ascii of each character with increasing power of 31   then add the components    3  So hashCode   of girl would be     ascii values of  l r i g are 108  114  105 and 103      e g  girl    108   31 0    114   31 1    105   31 2   103   31 3    3173020   Hash and girl    I know what you are thinking  Your fascination about that wild duet might made you miss an important thing     Why java multiply it with 31       It   s because  31 is an odd prime in the form 2 5     1   And odd prime reduces the chance of Hash Collision   Now how this hash code is mapped to an array index    answer is   Hash Code    Array length -1     So    girl    is mapped to  3173020   3    1 in our case   which is second element of the array     and the value    ahhan     is stored in a LinkedList associated with array index 1    HashCollision -  If you try to find hasHCode of the keys    misused    and     horsemints    using the formulae described above you   ll see both giving us same 1069518484  Whooaa    lesson learnt -     2 equal objects must have same hashCode but there is no guarantee if   the hashCode matches then the objects are equal   So it should store   both values corresponding to    misused    and    horsemints    to bucket 1    1069518484   3      Now the hash map looks like      Array Index 0     Array Index 1 - LinkedIst     ahhan         Manmohan Singh         guess what     Array Index 2     LinkedList     way     Array Index 3        Now if some body tries to find the value for the key    horsemints      java quickly will find the hashCode of it   module it and start searching for it   s value in the LinkedList corresponding index 1   So this way we need not search all the 4 array indexes thus making data access faster   But   wait   one sec     there are 3 values in that linkedList corresponding Array index 1  how it finds out which one was was the value for key    horsemints        Actually I lied   when I said HashMap just stores values in LinkedList    It stores both key value pair as map entry  So actually Map looks like this     Array Index 0     Array Index 1 - LinkedIst   lt    girl      gt     ahhan    gt     lt     misused      gt     Manmohan Singh    gt     lt    horsemints      gt     guess what    gt   Array Index 2     LinkedList   lt    no      gt     way    gt   Array Index 3        Now you can see While traversing through the linkedList corresponding to ArrayIndex1 it actually compares key of each entry to of that LinkedList to    horsemints    and when it finds one it just returns the value of it    Hope you had fun while reading it

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import java util HashMap   public class Students        String name      int age       Students String name  int age            this name   name          this age age              Override     public int hashCode             System out println    hash              final int prime   31          int result   1          result   prime   result   age          result   prime   result     name    null    0   name hashCode             return result              Override     public boolean equals Object obj            System out println    eq              if  this    obj              return true          if  obj    null              return false          if  getClass      obj getClass                return false          Students other    Students  obj          if  age    other age              return false          if  name    null                if  other name    null                  return false            else if   name equals other name               return false          return true             public static void main String   args             Students S1   new Students  taj  22           Students S2   new Students  taj  21            System out println S1 hashCode             System out println S2 hashCode              HashMap lt Students String  gt  HM   new HashMap lt Students String  gt               HM put S1   tajinder            HM put S2   tajinder            System out println HM size              Output      hash     116232     hash     116201     hash        hash     2   So here we see that if both the objects S1 and S2 have different content  then we are pretty sure that our overridden Hashcode method will generate different Hashcode 116232 11601  for both objects  NOW since there are different hash codes  so it won t even bother to call EQUALS method  Because a different Hashcode GUARANTEES DIFFERENT content in an object       public static void main String   args             Students S1   new Students  taj  21           Students S2   new Students  taj  21            System out println S1 hashCode             System out println S2 hashCode              HashMap lt Students String  gt  HM   new HashMap lt Students String  gt               HM put S1   tajinder            HM put S2   tajinder            System out println HM size              Now lets change out main method a little bit  Output after this change is      hash     116201     hash     116201     hash        hash        eq     1 We can clearly see that equal method is called  Here is print statement   eq    since we have same hashcode  then content of objects MAY or MAY not be similar  So program internally  calls Equal method to verify this     Conclusion  If hashcode is different   equal method will not get called   if hashcode is same  equal method will get called   Thanks   hope it helps

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You re mistaken on point three   Two entries can have the same hash code but not be equal   Take a look at the implementation of HashMap get from the OpenJdk   You can see that it checks that the hashes are equal and the keys are equal   Were point three true  then it would be unnecessary to check that the keys are equal   The hash code is compared before the key because the former is a more efficient comparison     If you re interested in learning a little more about this  take a look at the Wikipedia article on Open Addressing collision resolution  which I believe is the mechanism that the OpenJdk implementation uses   That mechanism is subtly different than the  bucket  approach one of the other answers mentions

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Hash map works on the principle of hashing   HashMap get Key k  method calls hashCode method on the key object and applies returned hashValue to its own static hash function to find a bucket location backing array  where keys and values are stored in form of a nested class called Entry  Map Entry    So you have concluded that from the previous line that Both key and value is stored in the bucket as a form of  Entry object   So thinking that Only value is stored  in the bucket is not correct and will not give a good impression on the interviewer     Whenever we call get  Key k    method on the HashMap object   First it checks that whether key is null or not    Note that there can only be one null key in HashMap       If key is null   then Null keys always map to hash 0  thus index 0   If key is not null then   it will call hashfunction on the key object   see line 4 in above method i e  key hashCode     so after key hashCode   returns hashValue   line 4 looks like              int hash   hash hashValue    and now  it applies returned hashValue into its own hashing function    We might wonder why we are calculating the hashvalue again using hash hashValue   Answer is It defends against poor quality hash functions   Now final  hashvalue is used to find the bucket location at which the Entry object is stored   Entry object stores in the bucket like this  hash key value bucketindex

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Each Entry object represents key-value pair  Field next refers to other Entry object if a bucket has more than 1 Entry   Sometimes it might happen that hashCodes for 2 different objects are the same  In this case 2 objects will be saved in one bucket and will be presented as LinkedList  The entry point is more recently added object  This object refers to other object with next field and so one  Last entry refers to null  When you create HashMap with default constructor  Array is gets created with size 16 and default 0 75 load balance       Source

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Your third assertion is incorrect   It s perfectly legal for two unequal objects to have the same hash code  It s used by HashMap as a  first pass filter  so that the map can quickly find possible entries with the specified key  The keys with the same hash code are then tested for equality with the specified key   You wouldn t want a requirement that two unequal objects couldn t have the same hash code  as otherwise that would limit you to 232 possible objects   It would also mean that different types couldn t even use an object s fields to generate hash codes  as other classes could generate the same hash

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I will not get into the details of how HashMap works  but will give an example so we can remember how HashMap works by relating it to reality   We have Key  Value  HashCode and bucket   For sometime  we will relate each of them with the following    Bucket -  A Society HashCode -  Society s address unique always  Value -  A House in the Society Key -  House address    Using Map get key     Stevie wants to get to his friend s Josse  house who lives in a villa in a VIP society  let it be JavaLovers Society   Josse s address is his SSN which is different for everyone   There s an index maintained in which we find out the Society s name based on SSN  This index can be considered to be an algorithm to find out the HashCode    SSN                Society s Name 92313 Josse s   -- JavaLovers 13214           -- AngularJSLovers 98080           -- JavaLovers 53808           -- BiologyLovers      This SSN key  first gives us a HashCode from the index table  which is nothing but Society s name  Now  mulitple houses can be in the same society  so the HashCode can be common  Suppose  the Society is common for two houses  how are we going to identify which house we are going to  yes  by using the  SSN key which is nothing but the House address   Using Map put key Value   This finds a suitable society for this Value by finding the HashCode and then the value is stored   I hope this helps and this is open for modifications

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The hashcode determines which bucket for the hashmap to check   If there is more than one object in the bucket then a linear search is done to find which item in the bucket equals the desired item  using the equals    method   In other words  if you have a perfect hashcode then hashmap access is constant  you will never have to iterate through a bucket  technically you would also have to have MAX INT buckets  the Java implementation may share a few hash codes in the same bucket to cut down on space requirements    If you have the worst hashcode  always returns the same number  then your hashmap access becomes linear since you have to search through every item in the map  they re all in the same bucket  to get what you want   Most of the time a well written hashcode isn t perfect but is unique enough to give you more or less constant access

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two objects are equal  implies that they have same hashcode  but not vice versa  2 equal objects ------ gt  they have same hashcode 2 objects have same hashcode ----xxxxx-- gt  they are NOT equal  Java 8 update in HashMap- you do this operation in your code - myHashmap put  quot old quot   quot old-value quot    myHashMap put  quot very-old quot   quot very-old-value quot     so  suppose your hashcode returned for both keys  quot old quot  and  quot very-old quot  is same  Then what will happen  myHashMap is a HashMap  and suppose that initially you didn t specify its capacity  So default capacity as per java is 16  So now as soon as you initialised hashmap using the new keyword  it created 16 buckets  now when you executed first statement- myHashmap put  quot old quot   quot old-value quot     then hashcode for  quot old quot  is calculated  and because the hashcode could be very large integer too  so  java internally did this -  hash is hashcode here and  gt  gt  gt  is right shift  hash XOR hash  gt  gt  gt  16  so to give as a bigger picture  it will return some index  which would be between 0 to 15  Now your key value pair  quot old quot  and  quot old-value quot  would be converted to Entry object s key and value instance variable  and then this entry object will be stored in the bucket  or you can say that at a particular index  this entry object would be stored  FYI- Entry is a class in Map interface- Map Entry  with these signature definition class Entry            final Key k            value v            final int hash            Entry next     now when you execute next statement - myHashmap put  quot very-old quot   quot very-old-value quot     and  quot very-old quot  gives same hashcode as  quot old quot   so this new key value pair is again sent to the same index or the same bucket  But since this bucket is not empty  then the next variable of the Entry object is used to store this new key value pair  and this will be stored as linked list for every object which have the same hashcode  but a TRIEFY THRESHOLD is specified with value 6  so after this reaches  linked list is converted to the balanced tree red-black tree  with first element as the root

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You can find excellent information at http   javarevisited blogspot com 2011 02 how-hashmap-works-in-java html  To Summarize    HashMap works on the principle of hashing  put key  value   HashMap stores both key and value object as Map Entry  Hashmap applies hashcode key  to get the bucket  if there is collision  HashMap uses LinkedList to store object    get key   HashMap uses Key Object s hashcode to find out bucket location and then call keys equals   method to identify correct node in LinkedList and return associated value object for that key in Java HashMap

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A hashmap works like this  this is a little bit simplified  but it illustrates the basic mechanism    It has a number of  buckets  which it uses to store key-value pairs in  Each bucket has a unique number - that s what identifies the bucket  When you put a key-value pair into the map  the hashmap will look at the hash code of the key  and store the pair in the bucket of which the identifier is the hash code of the key  For example  The hash code of the key is 235 -  the pair is stored in bucket number 235   Note that one bucket can store more then one key-value pair    When you lookup a value in the hashmap  by giving it a key  it will first look at the hash code of the key that you gave  The hashmap will then look into the corresponding bucket  and then it will compare the key that you gave with the keys of all pairs in the bucket  by comparing them with equals     Now you can see how this is very efficient for looking up key-value pairs in a map  by the hash code of the key the hashmap immediately knows in which bucket to look  so that it only has to test against what s in that bucket   Looking at the above mechanism  you can also see what requirements are necessary on the hashCode   and equals   methods of keys    If two keys are the same  equals   returns true when you compare them   their hashCode   method must return the same number  If keys violate this  then keys that are equal might be stored in different buckets  and the hashmap would not be able to find key-value pairs  because it s going to look in the same bucket   If two keys are different  then it doesn t matter if their hash codes are the same or not  They will be stored in the same bucket if their hash codes are the same  and in this case  the hashmap will use equals   to tell them apart

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HashMap is an array of Entry objects   Consider HashMap as just an array of objects   Have a look at what this Object is   static class Entry lt K V gt  implements Map Entry lt K V gt            final K key          V value          Entry lt K V gt  next          final int hash           Each Entry object represents a key-value pair  The field next refers to another Entry object if a bucket has more than one Entry   Sometimes it might happen that hash codes for 2 different objects are the same  In this case  two objects will be saved in one bucket and will be presented as a linked list   The entry point is the more recently added object  This object refers to another object with the next field and so on  The last entry refers to null   When you create a HashMap with the default constructor  HashMap hashMap   new HashMap      The array is created with size 16 and default 0 75 load balance   Adding a new key-value pair   Calculate hashcode for the key Calculate position hash    arrayLength-1  where element should be placed  bucket number  If you try to add a value with a key which has already been saved in HashMap  then value gets overwritten  Otherwise element is added to the bucket    If the bucket already has at least one element  a new one gets added and placed in the first position of the bucket  Its next field refers to the old element   Deletion   Calculate hashcode for the given key Calculate bucket number hash    arrayLength-1  Get a reference to the first Entry object in the bucket and by means of equals method iterate over all entries in the given bucket  Eventually we will find the correct Entry  If a desired element is not found  return null

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Here is a rough description of HashMap s mechanism  for Java 8 version   it might be slightly different from Java 6      Data structures   Hash table Hash value is calculated via hash   on key  and it decide which bucket of the hashtable to use for a given key  Linked list  singly  When count of elements in a bucket is small  a singly linked list is used  Red-Black tree When count of elements in a bucket is large  a red-black tree is used      Classes  internal    Map Entry Represent a single entity in map  the key value entity  HashMap Node Linked list version of node   It could represent    A hash bucket  Because it has a hash property  A node in singly linked list   thus also head of linkedlist    HashMap TreeNode Tree version of node      Fields  internal    Node   table The bucket table   head of the linked lists   If a bucket don t contains elements  then it s null  thus only take space of a reference  Set lt Map Entry gt  entrySet  Set of entities  int size Number of entities  float loadFactor Indicate how full the hash table is allowed  before resizing  int threshold The next size at which to resize  Formula  threshold   capacity   loadFactor     Methods  internal    int hash key  Calculate hash by key  How to map hash to bucket  Use following logic      static int hashToBucket int tableSize  int hash        return  tableSize - 1   amp  hash          About capacity  In hash table  capacity means the bucket count  it could be get from table length  Also could be calculated via threshold and loadFactor  thus no need to be defined as a class field   Could get the effective capacity via   capacity      Operations   Find entity by key  First find the bucket by hash value  then loop linked list or search sorted tree  Add entity with key  First find the bucket according to hash value of key  Then try find the value      If found  replace the value  Otherwise  add a new node at beginning of linked list  or insert into sorted tree   Resize When threshold reached  will double hashtable s capacity table length   then perform a re-hash on all elements to rebuild the table  This could be an expensive operation      Performance   get  amp  put Time complexity is O 1   because      Bucket is accessed via array index  thus O 1   Linked list in each bucket is of small length  thus could view as O 1   Tree size is also limited  because will extend capacity  amp  re-hash when element count increase  so could view it as O 1   not O log N

[java] How does a Java HashMap handle different objects with the same hash code?

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