Trie - Amazon Top Interview Questions
Problem Statement :
Implement a trie data structure with the following methods: Trie() constructs a new instance of a trie add(String word) adds a word into the trie exists(String word) returns whether word exists in the trie startswith(String p) returns whether there's some word whose prefix is p Constraints n ≤ 100,000 where n is the number of calls to add, exists and startswith Example 1 Input methods = ["constructor", "add", "add", "exists", "startswith", "exists"] arguments = [[], ["dog"], ["document"], ["dog"], ["doc"], ["doge"]]` Output [None, None, None, True, True, False] Explanation We create a Trie We add the word "dog" to the trie We add the word "document" to the trie We check whether "dog" exists in the trie which it does We check whether there is some word whose prefix is "doc" which there is ("document) We check whether "doge" exists in the trie which it does not
Solution :
Solution in C++ :
class Trie { // Time: O(L) for every operation, where L is the length of the input string
private:
bool is_word;
Trie* children[26];
public:
Trie() { // Constructor
is_word = false;
for (int i = 0; i < 26; i++) children[i] = nullptr;
}
~Trie() { // Destructor
for (int i = 0; i < 26; i++)
if (children[i]) delete children[i]; // Release children nodes
}
Trie* search(string& word) {
Trie* node = this;
for (char c : word) {
if (node->children[c - 'a'] == nullptr) return nullptr;
node = node->children[c - 'a'];
}
return node;
}
void add(string s) {
Trie* node = this;
for (char c : s) {
if (node->children[c - 'a'] == nullptr) node->children[c - 'a'] = new Trie();
node = node->children[c - 'a'];
}
node->is_word = true;
}
bool exists(string word) {
Trie* node = search(word);
return (node != nullptr) && (node->is_word);
}
bool startswith(string p) {
Trie* node = search(p);
return node != nullptr;
}
};
Solution in Python :
class Node:
def __init__(self):
self.children = defaultdict(Node)
self.end = False
class Trie:
def __init__(self):
self.root = Node()
def add(self, s):
"""We simply iterate through the word and add each character
one by one. since we are using a defaultdict, we don't need
to worry about creating a new node if a child doesn't exist
In the end we set the `end` flag of the current node to true
"""
cur = self.root
for c in s:
cur = cur.children[c]
cur.end = True
def exists(self, word):
"""
We go by each character and see if the current node has a child
mapped to that character. if it doesn't, return false. else keep
going down. In the end check if the node's end flag is set to true
"""
cur = self.root
for c in word:
if c not in cur.children:
return False
cur = cur.children[c]
return cur.end
def startswith(self, p):
"""
We go by each character and see if the current node has a child
mapped to that character. if it doesn't, return false. else keep
going down. we just return true without checking the end flag
"""
cur = self.root
for c in p:
if c not in cur.children:
return False
cur = cur.children[c]
return True
View More Similar Problems
Jenny's Subtrees
Jenny loves experimenting with trees. Her favorite tree has n nodes connected by n - 1 edges, and each edge is ` unit in length. She wants to cut a subtree (i.e., a connected part of the original tree) of radius r from this tree by performing the following two steps: 1. Choose a node, x , from the tree. 2. Cut a subtree consisting of all nodes which are not further than r units from node x .
View Solution →Tree Coordinates
We consider metric space to be a pair, , where is a set and such that the following conditions hold: where is the distance between points and . Let's define the product of two metric spaces, , to be such that: , where , . So, it follows logically that is also a metric space. We then define squared metric space, , to be the product of a metric space multiplied with itself: . For
View Solution →Array Pairs
Consider an array of n integers, A = [ a1, a2, . . . . an] . Find and print the total number of (i , j) pairs such that ai * aj <= max(ai, ai+1, . . . aj) where i < j. Input Format The first line contains an integer, n , denoting the number of elements in the array. The second line consists of n space-separated integers describing the respective values of a1, a2 , . . . an .
View Solution →Self Balancing Tree
An AVL tree (Georgy Adelson-Velsky and Landis' tree, named after the inventors) is a self-balancing binary search tree. In an AVL tree, the heights of the two child subtrees of any node differ by at most one; if at any time they differ by more than one, rebalancing is done to restore this property. We define balance factor for each node as : balanceFactor = height(left subtree) - height(righ
View Solution →Array and simple queries
Given two numbers N and M. N indicates the number of elements in the array A[](1-indexed) and M indicates number of queries. You need to perform two types of queries on the array A[] . You are given queries. Queries can be of two types, type 1 and type 2. Type 1 queries are represented as 1 i j : Modify the given array by removing elements from i to j and adding them to the front. Ty
View Solution →Median Updates
The median M of numbers is defined as the middle number after sorting them in order if M is odd. Or it is the average of the middle two numbers if M is even. You start with an empty number list. Then, you can add numbers to the list, or remove existing numbers from it. After each add or remove operation, output the median. Input: The first line is an integer, N , that indicates the number o
View Solution →