sec tries xxxxxx xxxxx xxxxx xxxx xxxxxx xxx figure the pat trie for the collection of values contrast this with the binary trie of figure in the pat trieall data values are stored in the leaf nodeswhile internal nodes store the bit position used to determine the branching decisionassuming that each key is represented as bit value representing number in the range to some of the branches in this pat trie have been labeled to indicate the binary representation for all values in that subtree for exampleall values in the left subtree of the node labeled must have value xxxxxx (where means that bit can be either or all nodes in the right subtree of the node labeled must have value xxx howeverwe can skip branching on bit for this subtree because all values currently stored have value of for that bit poor balance and clumping can result when certain prefixes are heavily used for examplean alphabet trie storing the common words in the english language would have many words in the "thbranch of the treebut none in the "zqbranch any multiway branching trie can be replaced with binary trie by replacing the original trie' alphabet with an equivalent binary code alternativelywe can use the techniques of section for converting general tree to binary tree without modifying the alphabet the trie implementations illustrated by figures and are potentially quite inefficient as certain key sets might lead to large number of nodes with only single child variant on trie implementation is known as patriciawhich stands for "practical algorithm to retrieve information coded in alphanumeric in the case of binary alphabeta patricia trie (referred to hereafter as pat trieis full binary tree that stores data records in the leaf nodes internal nodes store only the position within the key' bit pattern that is used to decide on the next branching point in this wayinternal nodes with single children (equivalentlybit positions within the key that do not distinguish any of the keys within the current subtreeare eliminated pat trie corresponding to the values of figure is shown in figure