Equal Beauty CodeChef SnackDown 2021 Round 1A Question The beauty of an (non-empty) array of integers is defined as the difference between its largest and smallest element. For example, the beauty of the array [2,3,4,4,6] is 6−2=4. An array A is said to be good if it is possible to partition the elements of A into two non-empty arrays B1 and B2 such that B1 and B2 have the same beauty. Each element of array A should be in exactly one array: either in B1 or in B2. For example, the array [6,2,4,4,4] is good because its elements can be partitioned into two arrays B1=[6,4,4] and B2=[2,4], where both B1 and B2 have the same beauty (6−4=4−2=2). You are given an array A of length N. In one move you can: Select an index i (1≤i≤N) and either increase Ai by 1 or decrease Ai by 1. Find the minimum number of moves required to make the array A good. Input Format The first line of input contains a single integer T, denoting the number of test cases. The description of T test cases follow. Each test
Implement Trie Prefix Tree LeetCode Solution
Question
A trie (pronounced as "try") or prefix tree is a tree data structure used to efficiently store and retrieve keys in a dataset of strings. There are various applications of this data structure, such as autocomplete and spellchecker.
Implement the Trie class:
Trie()
Initializes the trie object.void insert(String word)
Inserts the stringword
into the trie.boolean search(String word)
Returnstrue
if the stringword
is in the trie (i.e., was inserted before), andfalse
otherwise.boolean startsWith(String prefix)
Returnstrue
if there is a previously inserted stringword
that has the prefixprefix
, andfalse
otherwise.
Example 1:
Input ["Trie", "insert", "search", "search", "startsWith", "insert", "search"] [[], ["apple"], ["apple"], ["app"], ["app"], ["app"], ["app"]] Output [null, null, true, false, true, null, true] Explanation Trie trie = new Trie(); trie.insert("apple"); trie.search("apple"); // return True trie.search("app"); // return False trie.startsWith("app"); // return True trie.insert("app"); trie.search("app"); // return True
Constraints:
1 <= word.length, prefix.length <= 2000
word
andprefix
consist only of lowercase English letters.- At most
3 * 104
calls in total will be made toinsert
,search
, andstartsWith
.
Explanation
This problem is quite hard to understand since to solve this problem you need to know thoroughly about trees and their implementation. Trie is a very important data structure that is one of the most efficient methods for searching. Trie is a tree structure that has n number of nodes and has a flag value taht checks whether the word is end or not and another array that contains the tree structure. We are now constructing the functions insert, search, startwith. Now the main thing is we insert values and search for a specified value and traverse the entire tree. If no child is present for a specified node print null otherwise if child is present then check whether it is same as the specified node or not print true or false according to the check. That's all now you need to code it. I recommend first to give a try to the problem and then if you are stuck then visit the solution given below in Java, C++, Python.
Program Code
Java
class Trie {
class Node {
Node [] childs;
boolean isEnd;
Node(){
childs = new Node[26];
isEnd = false;
}
}
final private Node root;
public Trie() {
root = new Node();
}
public void insert(String word) {
Node curr = root;
for(int i = 0;i<word.length();i++){
char ch = word.charAt(i);
if(curr.childs[ch - 'a'] == null){
curr.childs[ch - 'a'] = new Node();
}
curr = curr.childs[ch - 'a'];
}
curr.isEnd = true;
}
public boolean search(String word) {
Node curr = root;
for(int i = 0;i<word.length();i++){
char ch = word.charAt(i);
if(curr.childs[ch - 'a'] == null) return false;
curr = curr.childs[ch - 'a'];
}
return curr.isEnd;
}
public boolean startsWith(String prefix) {
Node curr = root;
for(int i = 0;i<prefix.length();i++){
char ch = prefix.charAt(i);
if(curr.childs[ch - 'a'] == null) return false;
curr = curr.childs[ch - 'a'];
}
return true;
}
}
C++
class TrieNode
{
public:
bool isEnd;
vector<TrieNode*> children;
TrieNode()
{
isEnd = false;
for(int i = 0; i < 26; i++)
children.push_back(nullptr);
}
};
class Trie
{
public:
TrieNode* root;
Trie()
{
root = new TrieNode();
}
void insert(string word)
{
TrieNode* ptr = root;
for(char& c : word){
if(!(ptr -> children[c - 'a']))
ptr -> children[c-'a'] = new TrieNode();
ptr = ptr -> children[c-'a'];
}
ptr -> isEnd = true; // mark the end of a word
}
bool search(string word)
{
TrieNode* ptr = root;
for(char&c : word){
if(!(ptr -> children[c-'a']))
return false;
ptr = ptr -> children[c-'a'];
}
return ptr -> isEnd;
}
bool startsWith(string prefix)
{
TrieNode* ptr = root;
for(char& c : prefix){
if(!(ptr -> children[c-'a']))
return false;
ptr = ptr -> children[c-'a'];
}
return true;
}
};
Python
import collections
class Trie:
def __init__(self):
self.children = collections.defaultdict(Trie)
self.end = False
def insert(self, word: str) -> None:
curr = self
for char in word:
curr = curr.children[char]
curr.end = True
def search(self, word: str) -> bool:
curr = self
for char in word:
if char not in curr.children: return False
curr = curr.children[char]
return curr.end
def startsWith(self, prefix: str) -> bool:
curr = self
for char in prefix:
if char not in curr.children: return False
curr = curr.children[char]
return True
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