Smallest power of 4 greater than or equal to N

Given an integer N, the task is to find the smallest power of four greater than or equal to N.

Examples:

Input: N = 12
Output: 16
24 = 16 which is the next required
greater number after 12.



Input: N = 81
Output: 81

Approach:

  1. Find the fourth root of the given n.
  2. Calculate its floor value using floor() function.
  3. If n is itself a power of four then return n.
  4. Else add 1 to the floor value.
  5. Return the fourth power of that number.

Below is the implementation of the above approach:

C++

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// C++ implementation of above approach
#include <bits/stdc++.h>
using namespace std;
  
// Function to return the smallest power
// of 4 greater than or equal to n
int nextPowerOfFour(int n)
{
    int x = floor(sqrt(sqrt(n)));
  
    // If n is itself is a power of 4
    // then return n
    if (pow(x, 4) == n)
        return n;
    else {
        x = x + 1;
        return pow(x, 4);
    }
}
  
// Driver code
int main()
{
    int n = 122;
    cout << nextPowerOfFour(n);
    return 0;
}

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Java

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// Java implementation of above approach 
import java.util.*;
import java.lang.Math;
import java.io.*;
  
class GFG
{
      
// Function to return the smallest power 
// of 4 greater than or equal to n 
static int nextPowerOfFour(int n) 
    int x = (int)Math.floor(Math.sqrt(Math.sqrt(n))); 
  
    // If n is itself is a power of 4 
    // then return n 
    if (Math.pow(x, 4) == n) 
        return n; 
    else
        x = x + 1
        return (int)Math.pow(x, 4); 
    
  
// Driver code 
public static void main (String[] args) 
              throws java.lang.Exception
{
    int n = 122
    System.out.println(nextPowerOfFour(n)); 
}
}
  
// This code is contributed by nidhiva

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Python3

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# Python implementation of above approach
import math
  
# Function to return the smallest power
# of 4 greater than or equal to n
def nextPowerOfFour(n):
    x = math.floor((n**(1/2))**(1/2));
  
    # If n is itself is a power of 4
    # then return n
    if ((x**4) == n):
        return n;
    else:
        x = x + 1;
        return (x**4);
  
# Driver code
  
n = 122;
print(nextPowerOfFour(n));
  
# This code is contributed by Rajput-Ji

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C#

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// C# implementation of above approach 
using System;
class GFG
{
      
// Function to return the smallest power 
// of 4 greater than or equal to n 
static int nextPowerOfFour(int n) 
    int x = (int)Math.Floor(Math.Sqrt(Math.Sqrt(n))); 
  
    // If n is itself is a power of 4 
    // then return n 
    if (Math.Pow(x, 4) == n) 
        return n; 
    else 
    
        x = x + 1; 
        return (int)Math.Pow(x, 4); 
    
  
// Driver code 
public static void Main () 
{
    int n = 122; 
    Console.WriteLine(nextPowerOfFour(n)); 
}
}
  
// This code is contributed by anuj_67..

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Output:

256


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Improved By : nidhiva, vt_m, Rajput-Ji



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