Sort elements by frequency | Set 4 (Efficient approach using hash)
Last Updated :
02 Jun, 2023
Print the elements of an array in the decreasing frequency if 2 numbers have the same frequency then print the one which came first.
Examples:
Input : arr[] = {2, 5, 2, 8, 5, 6, 8, 8}
Output : arr[] = {8, 8, 8, 2, 2, 5, 5, 6}
Input : arr[] = {2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8}
Output : arr[] = {8, 8, 8, 2, 2, 5, 5, 6, -1, 9999999}
We have discussed different approaches in below posts :
Sort elements by frequency | Set 1
Sort elements by frequency | Set 2
Sorting Array Elements By Frequency | Set 3 (Using STL)
All of the above approaches work in O(n Log n) time where n is total number of elements. In this post, a new approach is discussed that works in O(n + m Log m) time where n is total number of elements and m is total number of distinct elements.
The idea is to use hashing.
- We insert all elements and their counts into a hash. This step takes O(n) time where n is number of elements.
- We copy the contents of hash to an array (or vector) and sort them by counts. This step takes O(m Log m) time where m is total number of distinct elements.
- For maintaining the order of elements if the frequency is the same, we use another hash which has the key as elements of the array and value as the index. If the frequency is the same for two elements then sort elements according to the index.
The below image is a dry run of the above approach:

We do not need to declare another map m2, as it does not provide the proper expected result for the problem.
instead, we need to just check for the first values of the pairs sent as parameters in the sortByVal function.
Below is the implementation of the above approach:
C++
// CPP program for the above approach
#include <bits/stdc++.h>
using namespace std;
// Used for sorting by frequency. And if frequency is same,
// then by appearance
bool sortByVal(const pair<int, int>& a,
const pair<int, int>& b)
{
// If frequency is same then sort by index
if (a.second == b.second)
return a.first < b.first;
return a.second > b.second;
}
// function to sort elements by frequency
vector<int>sortByFreq(int a[], int n)
{
vector<int>res;
unordered_map<int, int> m;
vector<pair<int, int> > v;
for (int i = 0; i < n; ++i) {
// Map m is used to keep track of count
// of elements in array
m[a[i]]++;
}
// Copy map to vector
copy(m.begin(), m.end(), back_inserter(v));
// Sort the element of array by frequency
sort(v.begin(), v.end(), sortByVal);
for (int i = 0; i < v.size(); ++i)
while(v[i].second--)
{
res.push_back(v[i].first);
}
return res;
}
// Driver program
int main()
{
int a[] = { 2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8 };
int n = sizeof(a) / sizeof(a[0]);
vector<int>res;
res = sortByFreq(a, n);
for(int i = 0;i < res.size(); i++)
cout<<res[i]<<" ";
return 0;
}
Python3
# Used for sorting by frequency. And if frequency is same,
# then by appearance
from functools import cmp_to_key
def sortByVal(a,b):
# If frequency is same then sort by index
if (a[1] == b[1]):
return a[0] - b[0]
return b[1] - a[1]
# function to sort elements by frequency
def sortByFreq(a, n):
res = []
m = {}
v = []
for i in range(n):
# Map m is used to keep track of count
# of elements in array
if(a[i] in m):
m[a[i]] = m[a[i]]+1
else:
m[a[i]] = 1
for key,value in m.items():
v.append([key,value])
# Sort the element of array by frequency
v.sort(key = cmp_to_key(sortByVal))
for i in range(len(v)):
while(v[i][1]):
res.append(v[i][0])
v[i][1] -= 1
return res
# Driver program
a = [ 2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8 ]
n = len(a)
res = []
res = sortByFreq(a, n)
for i in range(len(res)):
print(res[i],end = " ")
# This code is contributed by shinjanpatra
Java
// Java program for the above approach
import java.util.*;
// Used for sorting by frequency. And if frequency is same,
// then by appearance
class SortByValue implements Comparator<Map.Entry<Integer, Integer> >
{
// Used for sorting in descending order of values
public int compare(Map.Entry<Integer, Integer> o1,
Map.Entry<Integer, Integer> o2)
{
// If frequency is same then sort by index
if (o1.getValue() == o2.getValue())
return o1.getKey() - o2.getKey();
return o2.getValue() - o1.getValue();
}
}
class GFG
{
// Function to sort elements by frequency
static Vector<Integer> sortByFreq(int a[], int n)
{
// Map to store the frequency of the elements
HashMap<Integer, Integer> m = new HashMap<>();
// Vector to store the sorted elements
Vector<Integer> v = new Vector<>();
// Insert elements and their frequency in the map
for (int i = 0; i < n; i++)
{
int x = a[i];
if (m.containsKey(x))
m.put(x, m.get(x) + 1);
else
m.put(x, 1);
}
// Copy map to vector
Vector<Map.Entry<Integer, Integer> > v1 =
new Vector<>(m.entrySet());
// Sort the vector elements by frequency
Collections.sort(v1, new SortByValue());
// Traverse the vector and insert elements
// in the vector v
for (int i = 0; i < v1.size(); i++)
for (int j = 0; j < v1.get(i).getValue(); j++)
v.add(v1.get(i).getKey());
return v;
}
// Driver program
public static void main(String[] args)
{
int a[] = { 2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8 };
int n = a.length;
Vector<Integer> v = sortByFreq(a, n);
// Print the elements of vector
for (int i = 0; i < v.size(); i++)
System.out.print(v.get(i) + " ");
}
}
JavaScript
<script>
// JavaScript program for the above approach
// Used for sorting by frequency. And if frequency is same,
// then by appearance
function sortByVal(a,b)
{
// If frequency is same then sort by index
if (a[1] == b[1])
return a[0] - b[0];
return b[1] - a[1];
}
// function to sort elements by frequency
function sortByFreq(a, n)
{
let res = [];
let m = new Map();
let v = [];
for (let i = 0; i < n; ++i) {
// Map m is used to keep track of count
// of elements in array
if(m.has(a[i]))
m.set(a[i],m.get(a[i])+1);
else
m.set(a[i],1);
}
for(let [key,value] of m){
v.push([key,value]);
}
// Sort the element of array by frequency
v.sort(sortByVal)
for (let i = 0; i < v.length; ++i)
while(v[i][1]--)
{
res.push(v[i][0]);
}
return res;
}
// Driver program
let a = [ 2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8 ];
let n = a.length;
let res = [];
res = sortByFreq(a, n);
for(let i = 0;i < res.length; i++)
document.write(res[i]," ");
// This code is contributed by shinjanpatra
</script>
C#
using System;
using System.Collections.Generic;
using System.Linq;
// Used for sorting by frequency. And if frequency is same,
// then by appearance
class SortByValue : IComparer<KeyValuePair<int, int>>
{
// Used for sorting in descending order of values
public int Compare(KeyValuePair<int, int> o1, KeyValuePair<int, int> o2)
{
// If frequency is same then sort by index
if (o1.Value == o2.Value)
return o1.Key - o2.Key;
return o2.Value - o1.Value;
}
}
class GFG
{
// Function to sort elements by frequency
static List<int> sortByFreq(int[] a, int n)
{
// Dictionary to store the frequency of the elements
Dictionary<int, int> m = new Dictionary<int, int>();
// List to store the sorted elements
List<int> res = new List<int>();
// Insert elements and their frequency in the dictionary
for (int i = 0; i < n; i++)
{
int x = a[i];
if (m.ContainsKey(x))
m[x]++;
else
m.Add(x, 1);
}
// Copy dictionary to list
List<KeyValuePair<int, int>> v =
new List<KeyValuePair<int, int>>(m);
// Sort the list elements by frequency
v.Sort(new SortByValue());
// Traverse the list and insert elements
// in the list v
foreach (KeyValuePair<int, int> kvp in v)
{
for (int i = 0; i < kvp.Value; i++)
res.Add(kvp.Key);
}
return res;
}
// Driver program
public static void Main(string[] args)
{
int[] a = { 2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8 };
int n = a.Length;
List<int> res = sortByFreq(a, n);
// Print the elements of list
foreach (int i in res)
Console.Write(i + " ");
}
}
Output8 8 8 2 2 5 5 -1 6 9999999
Time Complexity: O(n) + O(m Log m) where n is total number of elements and m is total number of distinct elements
Auxiliary Space: O(n)
This article is contributed by Aarti_Rathi and Ankur Singh and improved by Ankur Goel.
Simple way to sort by frequency.
The Approach:
Here In This approach we first we store the element by there frequency in vector_pair format(Using Mapping stl map) then sort it according to frequency then reverse it and apply bubble sort to make the condition true decreasing frequency if 2 numbers have the same frequency then print the one which came first. then print the vector.
C++
#include <bits/stdc++.h>
#include<iostream>
using namespace std;
//map all the number and sort by frequency.
void the_helper(int a[],vector<pair<int,int>>&res,int n){
map<int,int>mp;
for(int i=0;i<n;i++)mp[a[i]]++;
for(auto it:mp)res.push_back({it.second,it.first});
sort(res.begin(),res.end());
}
int main() {
int a[] = {2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8};
vector<pair<int,int>>res;
the_helper(a,res,10);
reverse(res.begin(),res.end());
for(int i=0;i<res.size();i++){
if(res[i].first==res[i+1].first){
for(int j=i;j<res.size();j++){
if(res[i].second>res[j].second&&res[i].first==res[j].first){
swap(res[i],res[j]);
}
}
}
}
for(int i=0;i<res.size();i++){
for(int j=0;j<res[i].first;j++)cout<<res[i].second<<" ";
// cout<<endl;
}
return 0;
}
Java
// Java program for the above approach
import java.util.*;
// pair class
class Pair{
int first;
int second;
public Pair(int first, int second){
this.first = first;
this.second = second;
}
}
public class Main{
// map all the number and sort by frequency
public static void the_helper(int[] a, List<Pair> res, int n){
// create a new map to store the frequency of each number in the array
Map<Integer, Integer> mp = new HashMap<>();
for(int i = 0; i < n; i++){
// check if the map already has the number,
// if yes, increase its count by 1, else add it to the map with count 1
if(mp.containsKey(a[i]))
mp.put(a[i], mp.get(a[i])+1);
else
mp.put(a[i], 1);
}
// loop through the map entries and add them to the result list as pairs
for(Map.Entry<Integer, Integer> entry : mp.entrySet()){
res.add(new Pair(entry.getValue(), entry.getKey()));
}
// sort the result list in ascending order of
// frequency using a lambda expression
res.sort((x, y) -> x.first - y.first);
}
// driver program
public static void main(String[] args) {
int[] a = {2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8};
List<Pair> res = new ArrayList<>();
the_helper(a, res, 10);
// reverse the result list to get it in descending order of frequency
Collections.reverse(res);
// loop through the result list and swap pairs with
// equal frequencies if the second element of the earlier
// pair is greater than the second element of the later pair
for(int i = 0; i < res.size()-1; i++){
if(res.get(i).first == res.get(i+1).first){
for(int j = i; j < res.size(); j++){
if(res.get(i).second > res.get(j).second && res.get(i).first == res.get(j).first){
Pair temp = res.get(j);
res.set(j, res.get(i));
res.set(i, temp);
}
}
}
}
System.out.println();
// loop through the result list and print each pair's
//second element the number of times indicated by its first element
for(Pair p : res){
for(int i = 0; i < p.first; i++){
System.out.print(p.second + " ");
}
}
}
}
// this code is contributed by bhardwajji
Python3
# python3 program for the above approach
import collections
# map all the number and sort by frequency
def the_helper(a, res, n):
mp = collections.defaultdict(int)
for i in range(n):
mp[a[i]] += 1
for key, val in mp.items():
res.append((val, key))
res.sort()
# main function
if __name__ == '__main__':
a = [2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8]
res = []
the_helper(a, res, len(a))
res.reverse()
for i in range(len(res) - 1):
if res[i][0] == res[i+1][0]:
for j in range(i+1, len(res)):
if res[i][0] == res[j][0] and res[i][1] > res[j][1]:
res[i], res[j] = res[j], res[i]
for i in range(len(res)):
for j in range(res[i][0]):
print(res[i][1], end=' ')
# print() # uncomment to print each frequency on a new line
C#
using System;
using System.Collections.Generic;
using System.Linq;
public class Program {
//map all the number and sort by frequency.
public static void the_helper(int[] a, List<Tuple<int,int>> res, int n) {
Dictionary<int,int> mp = new Dictionary<int,int>();
for (int i = 0; i < n; i++) {
if (mp.ContainsKey(a[i])) {
mp[a[i]]++;
} else {
mp[a[i]] = 1;
}
}
foreach (var it in mp) {
res.Add(new Tuple<int,int>(it.Value, it.Key));
}
res.Sort();
}
public static void Main() {
int[] a = { 2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8 };
List<Tuple<int,int>> res = new List<Tuple<int,int>>();
the_helper(a, res, 10);
res.Reverse();
for (int i = 0; i < res.Count; i++) {
if (i < res.Count - 1 && res[i].Item1 == res[i+1].Item1) {
for (int j = i; j < res.Count; j++) {
if (res[i].Item2 > res[j].Item2 && res[i].Item1 == res[j].Item1) {
var temp = res[i];
res[i] = res[j];
res[j] = temp;
}
}
}
}
for(int i=0;i<res.Count;i++){
for (int j = 0; j < res[i].Item1; j++) {
Console.Write(res[i].Item2 + " ");
}
}
}
}
JavaScript
// JavaScript program for the above approach
// pair class
class pair{
constructor(first, second){
this.first = first;
this.second = second;
}
}
// map all the number and sort by frequency
function the_helper(a, res, n){
mp = new Map();
for(let i = 0; i<n; i++){
if(mp.has(a[i]))
mp.set(a[i], mp.get(a[i])+1);
else
mp.set(a[i], 1);
}
mp.forEach(function(value, key){
res.push(new pair(value, key));
})
res.sort(function(a, b){
return a.first - b.first;
});
}
// driver program
let a = [2, 5, 2, 6, -1, 9999999, 5, 8, 8, 8];
let res = [];
the_helper(a, res, 10);
res.reverse();
for(let i = 0; i < res.length-1; i++){
if(res[i].first == res[i+1].first){
for(let j = i; j < res.length; j++){
if(res[i].second > res[j].second && res[i].first == res[j].first){
let temp = res[j];
res[j] = res[i];
res[i] = temp;
}
}
}
}
console.log("\n");
for(let i = 0; i < res.length; i++){
for(let j = 0; j < res[i].first; j++){
console.log(res[i].second + " ");
}
}
// this code is contributed by Yash Agarwal(yashagarwal2852002)
Output8 8 8 2 2 5 5 -1 6 9999999
Time Complexity: O(n^2) I.e it take O(n) for getting the frequency sorted vector but for sorting in decreasing frequency if 2 numbers have the same frequency then print the one which came first we use bubble sort so it take O(n^2).
Auxiliary Space: O(n),for vector.
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Find Itinerary from a given list of ticketsGiven a list of tickets, find the itinerary in order using the given list.Note: It may be assumed that the input list of tickets is not cyclic and there is one ticket from every city except the final destination.Examples:Input: "Chennai" -> "Bangalore" "Bombay" -> "Delhi" "Goa" -> "Chennai"
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Find number of Employees Under every ManagerGiven a 2d matrix of strings arr[][] of order n * 2, where each array arr[i] contains two strings, where the first string arr[i][0] is the employee and arr[i][1] is his manager. The task is to find the count of the number of employees under each manager in the hierarchy and not just their direct rep
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Longest Subarray With Sum Divisible By KGiven an arr[] containing n integers and a positive integer k, he problem is to find the longest subarray's length with the sum of the elements divisible by k.Examples:Input: arr[] = [2, 7, 6, 1, 4, 5], k = 3Output: 4Explanation: The subarray [7, 6, 1, 4] has sum = 18, which is divisible by 3.Input:
10 min read
Longest Subarray with 0 Sum Given an array arr[] of size n, the task is to find the length of the longest subarray with sum equal to 0.Examples:Input: arr[] = {15, -2, 2, -8, 1, 7, 10, 23}Output: 5Explanation: The longest subarray with sum equals to 0 is {-2, 2, -8, 1, 7}Input: arr[] = {1, 2, 3}Output: 0Explanation: There is n
10 min read
Longest Increasing consecutive subsequenceGiven N elements, write a program that prints the length of the longest increasing consecutive subsequence. Examples: Input : a[] = {3, 10, 3, 11, 4, 5, 6, 7, 8, 12} Output : 6 Explanation: 3, 4, 5, 6, 7, 8 is the longest increasing subsequence whose adjacent element differs by one. Input : a[] = {6
10 min read
Count Distinct Elements In Every Window of Size KGiven an array arr[] of size n and an integer k, return the count of distinct numbers in all windows of size k. Examples: Input: arr[] = [1, 2, 1, 3, 4, 2, 3], k = 4Output: [3, 4, 4, 3]Explanation: First window is [1, 2, 1, 3], count of distinct numbers is 3. Second window is [2, 1, 3, 4] count of d
10 min read
Design a data structure that supports insert, delete, search and getRandom in constant timeDesign a data structure that supports the following operations in O(1) time.insert(x): Inserts an item x to the data structure if not already present.remove(x): Removes item x from the data structure if present. search(x): Searches an item x in the data structure.getRandom(): Returns a random elemen
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Subarray with Given Sum - Handles Negative NumbersGiven an unsorted array of integers, find a subarray that adds to a given number. If there is more than one subarray with the sum of the given number, print any of them.Examples: Input: arr[] = {1, 4, 20, 3, 10, 5}, sum = 33Output: Sum found between indexes 2 and 4Explanation: Sum of elements betwee
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Implementing our Own Hash Table with Separate Chaining in JavaAll data structure has their own special characteristics, for example, a BST is used when quick searching of an element (in log(n)) is required. A heap or a priority queue is used when the minimum or maximum element needs to be fetched in constant time. Similarly, a hash table is used to fetch, add
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Linear Probing in Hash TablesIn Open Addressing, all elements are stored in the hash table itself. So at any point, size of table must be greater than or equal to total number of keys (Note that we can increase table size by copying old data if needed).Insert(k) - Keep probing until an empty slot is found. Once an empty slot is
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Maximum possible difference of two subsets of an arrayGiven an array of n-integers. The array may contain repetitive elements but the highest frequency of any element must not exceed two. You have to make two subsets such that the difference of the sum of their elements is maximum and both of them jointly contain all elements of the given array along w
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Sorting using trivial hash functionWe have read about various sorting algorithms such as heap sort, bubble sort, merge sort and others. Here we will see how can we sort N elements using a hash array. But this algorithm has a limitation. We can sort only those N elements, where the value of elements is not large (typically not above 1
15+ min read
Smallest subarray with k distinct numbersWe are given an array consisting of n integers and an integer k. We need to find the smallest subarray [l, r] (both l and r are inclusive) such that there are exactly k different numbers. If no such subarray exists, print -1 and If multiple subarrays meet the criteria, return the one with the smalle
14 min read