template class hashtable publicexplicit hashtableint size )bool containsconst hashedobj constvoid makeempty)bool insertconst hashedobj )bool inserthashedobj & )bool removeconst hashedobj )privatevectorthelistsint currentsize/the array of lists void rehash)size_t myhashconst hashedobj const}figure type declaration for separate chaining hash table usually keptand this data member would be incremented in the event of matchif the element turns out to be newit can be inserted at the front of the listsince it is convenient and also because frequently it happens that recently inserted elements are the most likely to be accessed in the near future the class interface for separate chaining implementation is shown in figure the hash table stores an array of linked listswhich are allocated in the constructor the class interface illustrates syntax pointprior to ++ in the declaration of thelistsa space was required between the two >ssince >is +tokenand because it is longer than >>would be recognized as the token in ++ this is no longer the case just as the binary search tree works only for objects that are comparablethe hash tables in this work only for objects that provide hash function and equality operators (operator=or operator!=or possibly bothinstead of requiring hash functions that take both the object and the table size as parameterswe have our hash functions take only the object as the parameter and return an appropriate integral type the standard mechanism for doing this uses function objectsand the protocol for hash tables was introduced in ++ specificallyin ++ hash functions can be expressed by the function object templatetemplate class hash publicsize_t operator(const key const}