Given an array of size N, find the majority element. The majority element is the element that appears more than
times in the given array.
Examples:
Input: [3, 2, 3]
Output: 3
Input: [2, 2, 1, 1, 1, 2, 2]
Output: 2
The problem has been solved using 4 different methods in the previous post. In this post hashing based solution is implemented. We count occurrences of all elements. And if count of any element becomes more than n/2, we return it.
Hence if there is a majority-element, it will be the value of the key.
Below is the implementation of the above approach:
C++
#include<bits/stdc++.h>
using namespace std;
#define ll long long int
int majorityNumber( int arr[], int n)
{
int ans = -1;
unordered_map< int , int >freq;
for ( int i = 0; i < n; i++)
{
freq[arr[i]]++;
if (freq[arr[i]] > n / 2)
ans = arr[i];
}
return ans;
}
int main()
{
int a[] = {2, 2, 1, 1, 1, 2, 2};
int n = sizeof (a) / sizeof ( int );
cout << majorityNumber(a, n);
return 0;
}
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Java
import java.util.*;
class GFG
{
static int majorityNumber( int arr[], int n)
{
int ans = - 1 ;
HashMap<Integer,
Integer> freq = new HashMap<Integer,
Integer>();
for ( int i = 0 ; i < n; i++)
{
if (freq.containsKey(arr[i]))
{
freq.put(arr[i], freq.get(arr[i]) + 1 );
}
else
{
freq.put(arr[i], 1 );
}
if (freq.get(arr[i]) > n / 2 )
ans = arr[i];
}
return ans;
}
public static void main(String[] args)
{
int a[] = { 2 , 2 , 1 , 1 , 1 , 2 , 2 };
int n = a.length;
System.out.println(majorityNumber(a, n));
}
}
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Python3
def majorityNumber(nums):
num_count = {}
for num in nums:
if num in num_count:
num_count[num] + = 1
else :
num_count[num] = 1
for num in num_count:
if num_count[num] > len (nums) / 2 :
return num
return - 1
a = [ 2 , 2 , 1 , 1 , 1 , 2 , 2 ]
print (majorityNumber(a))
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C#
using System;
using System.Collections.Generic;
class GFG
{
static int majorityNumber( int []arr, int n)
{
int ans = -1;
Dictionary< int ,
int > freq = new Dictionary< int ,
int >();
for ( int i = 0; i < n; i++)
{
if (freq.ContainsKey(arr[i]))
{
freq[arr[i]] = freq[arr[i]] + 1;
}
else
{
freq.Add(arr[i], 1);
}
if (freq[arr[i]] > n / 2)
ans = arr[i];
}
return ans;
}
public static void Main(String[] args)
{
int []a = {2, 2, 1, 1, 1, 2, 2};
int n = a.Length;
Console.WriteLine(majorityNumber(a, n));
}
}
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Javascript
<script>
function majorityNumber(arr, n)
{
let ans = -1;
let freq = new Map();
for (let i = 0; i < n; i++)
{
freq[arr[i]]++;
if (freq.has(arr[i])){
freq.set(arr[i], freq.get(arr[i]) + 1)
} else {
freq.set(arr[i], 1)
}
if (freq.get(arr[i]) > n / 2)
ans = arr[i];
}
return ans;
}
let a = [2, 2, 1, 1, 1, 2, 2];
let n = a.length;
document.write(majorityNumber(a, n));
</script>
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Complexity Analysis:
- Time Complexity : O(n)
- Auxiliary Space : O(n)