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Find a number K such that Array contains at least K numbers greater than or equal to K

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  • Last Updated : 24 May, 2021

Given an array arr[] of non-negative integers of size N, the task is to find an integer H such that at least K integers in the array are greater or equal to K.
Examples:

Input: arr[] = [3, 0, 6, 1, 5] 
Output:
Explanation: There are 3 number greater than or equal to 3 in the array i.e. 3, 6 and 5.
Input: arr[] = [9, 10, 7, 5, 0, 10, 2, 0] 
Output: 5

Approach: Using Hashing 
The number integer K can not be greater than the size of arr[]. So, maintain the frequency of each element in a frequency array(hash table). Then traverse the frequency array from the end and return the first index that matches the condition.
Below is the implementation of the above approach.

C++




// C++ program for the above approach
 
#include <bits/stdc++.h>
using namespace std;
 
int getNumberK(vector<int>& S)
{
    // vector to store freq.
    vector<int> freq(S.size() + 1,
                     0);
 
    // Filling freq vector.
    for (int i = 0; i < S.size();
         i++) {
 
        if (S[i] < S.size())
            freq[S[i]]++;
        else
            freq[S.size()]++;
    }
 
    int total = 0;
 
    // Finding K number.
    for (int i = S.size(); i >= 0;
         i--) {
 
        total += freq[i];
        if (total >= i)
            return i;
    }
 
    // No K number found.
    return 0;
}
 
// Driver code
int main()
{
    vector<int> arr{ 3, 0, 6, 1, 5 };
    cout << getNumberK(arr) << '\n';
    return 0;
}

Java




// Java program for the above approach
import java.util.*;
 
class GFG{
     
static int getNumberK(ArrayList<Integer> S)
{
     
    // To store freq.
    int[] freq = new int[S.size() + 1];
 
    // Filling freq vector.
    for(int i = 0; i < S.size(); i++)
    {
        if (S.get(i) < S.size())
            freq[S.get(i)]++;
        else
            freq[S.size()]++;
    }
     
    int total = 0;
 
    // Finding K number.
    for(int i = S.size(); i >= 0; i--)
    {
        total += freq[i];
        if (total >= i)
            return i;
    }
 
    // No K number found.
    return 0;
}
 
// Driver code
public static void main(String[] args)
{
    ArrayList<Integer> arr =
          new ArrayList<>(Arrays.asList(3, 0, 6, 1, 5));
                                                
    System.out.println(getNumberK(arr));
}
}
 
// This code is contributed by offbeat

Python3




# Python3 program for the above approach
def getNumberK(S):
     
    # Vector to store freq.
    freq = [0] * (len(S) + 1)
 
    # Filling freq vector.
    for i in range(len(S)):
        if (S[i] < len(S)):
            freq[S[i]] += 1
        else:
            freq[len(S)] += 1
     
    total = 0
 
    # Finding K number.
    for i in range(len(S), -1, -1):
        total += freq[i]
         
        if (total >= i):
            return i
 
    # No K number found.
    return 0
 
# Driver code
arr = [ 3, 0, 6, 1, 5 ]
 
print(getNumberK(arr))
 
# This code is contributed by code_hunt

C#




// C# program for the above approach
using System;
using System.Collections.Generic;
 
class GFG{
     
static int getNumberK(List<int> S)
{
     
    // To store freq.
    int[] freq = new int[S.Count + 1];
 
    // Filling freq vector.
    for(int i = 0; i < S.Count; i++)
    {
        if (S[i] < S.Count)
            freq[S[i]]++;
        else
            freq[S.Count]++;
    }
     
    int total = 0;
 
    // Finding K number.
    for(int i = S.Count; i >= 0; i--)
    {
        total += freq[i];
        if (total >= i)
            return i;
    }
 
    // No K number found.
    return 0;
}
 
// Driver code
public static void Main(String[] args)
{
    List<int> arr = new List<int>{ 3, 0, 6, 1, 5 };
                                                 
    Console.WriteLine(getNumberK(arr));
}
}
 
// This code is contributed by Amit Katiyar

Javascript




<script>
 
// Javascript program for
// the above approach
 
function getNumberK(S)
{
       
    // To store freq.
    let freq = Array.from({length: S.length + 1}, (_, i) => 0);
   
    // Filling freq vector.
    for(let i = 0; i < S.length; i++)
    {
        if (S[i] < S.length)
            freq[S[i]]++;
        else
            freq[S.length]++;
    }
       
    let total = 0;
   
    // Finding K number.
    for(let i = S.length; i >= 0; i--)
    {
        total += freq[i];
        if (total >= i)
            return i;
    }
   
    // No K number found.
    return 0;
}
 
// Driver code
     
  let arr = [3, 0, 6, 1, 5];                                                
  document.write(getNumberK(arr));
   
// This code is contributed by sourabhghosh0416.                              
</script>

Output: 

3

Time Complexity O(N) 
Space Complexity O(N) 
 


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