Skip to content
Related Articles

Related Articles

Improve Article
Perfect cubes in a range
  • Difficulty Level : Easy
  • Last Updated : 27 Apr, 2021

Given two given numbers a and b where 1 <= a <= b, find perfect cubes between a and b (a and b inclusive).
Examples: 
 

Input  :  a = 1, b = 100
Output : 1 8 27 64
Perfect cubes in the given range are 
1, 8, 27, 64

Input :  a = 24, b = 576
Output : 27 64 125 216 343 512
Perfect cubes in the given range are 
27, 64, 125, 216, 343, 512

 

This problem is similar to Perfect squares between two numbers.
Method 1 (Naive) : One naive approach is to check all the numbers between a and b (inclusive a and b) 
and print the perfect cube. Following is the code for the above approach: 
 

C++




// A Simple Method to count cubes between a and b
#include <bits/stdc++.h>
using namespace std;
 
void printCubes(int a, int b)
{
    // Traverse through all numbers in given range
    // and one by one check if number is prime
    for (int i = a; i <= b; i++) {
        // Check if current number 'i'
        // is perfect cube
        for (int j = 1; j * j * j <= i; j++) {
            if (j * j * j == i) {
                cout << j * j * j << "  ";
                break;
            }
        }
    }
}
 
// Driver code
int main()
{
    int a = 1, b = 100;
    cout << "Perfect cubes in given range:\n ";
    printCubes(a, b);
    return 0;
}

Java




// A Simple Method to count cubes between a and b
 
class Test {
 
    static void printCubes(int a, int b)
    {
 
        // Traverse through all numbers in given range
        // and one by one check if number is prime
        for (int i = a; i <= b; i++) {
 
            // Check if current number 'i'
            // is perfect cube
            for (int j = 1; j * j * j <= i; j++) {
                if (j * j * j == i) {
                    System.out.print(j * j * j + "  ");
                    break;
                }
            }
        }
    }
    // Driver method
    public static void main(String[] args)
    {
        int a = 1, b = 100;
        System.out.println("Perfect cubes in given range:");
        printCubes(a, b);
    }
}

Python3




# A Simple Method to count cubes between a and b
 
def printCubes(a, b) :
    # Traverse through all numbers in given range
    # and one by one check if number is prime
    for i in range(a, b + 1) :
         
        # Check if current number 'i'
        # is perfect cube
        j = 1
        for j in range(j ** 3, i + 1 ) :
             
            if (j ** 3 == i) :
                print( j ** 3, end = " ")
                break
             
 
# Driver code
 
a = 1; b = 100
print("Perfect cubes in given range: ")
printCubes(a, b)
 
 
# This code is contributed by Nikita Tiwari.

C#




// A Simple Method to count cubes
// between a and b
using System;
 
class GFG {
 
    static void printCubes(int a, int b)
    {
 
        // Traverse through all numbers
        // in given range and one by
        // one check if number is prime
        for (int i = a; i <= b; i++) {
 
            // Check if current number 'i'
            // is perfect cube
            for (int j = 1; j * j * j <= i; j++) {
                if (j * j * j == i) {
                    Console.Write(j * j * j + " ");
                    break;
                }
            }
        }
    }
 
    // Driver method
    public static void Main()
    {
        int a = 1, b = 100;
 
        Console.WriteLine("Perfect cubes in"
                          + " given range:");
        printCubes(a, b);
    }
}
 
// This code contribute by parashar.

PHP




<?php
// A Simple Method to count
// cubes between a and b
 
function printCubes($a, $b)
{
     
    // Traverse through all
    // numbers in given range
    // and one by one check
    // if number is prime
    for ($i = $a; $i <= $b; $i++)
    {
         
        // Check if current number 'i'
        // is perfect cube
        for ($j = 1; $j * $j * $j <= $i; $j++)
        {
            if ($j * $j * $j == $i)
            {
                echo $j * $j * $j, " ";
                break;
            }
        }
    }
}
     
    // Driver Code
    $a = 1;
    $b = 100;
    echo "Perfect cubes in given range:\n ";
    printCubes($a, $b);
 
// This code is contributed by ajit
?>

Javascript




<script>
// A Simple Method to count
// cubes between a and b
function printCubes(a, b)
{
     
    // Traverse through all
    // numbers in given range
    // and one by one check
    // if number is prime
    for (let i = a; i <= b; i++)
    {
         
        // Check if current number 'i'
        // is perfect cube
        for (let j = 1; j * j * j <= i; j++)
        {
            if (j * j * j == i)
            {
                document.write(j * j * j + " ");
                break;
            }
        }
    }
}
     
    // Driver Code
    let a = 1;
    let b = 100;
    document.write("Perfect cubes in given range: <br> ");
    printCubes(a, b);
 
// This code is contributed by gfgking.
 
</script>

Output : 
 

Perfect cubes in given range:
 1 8 27 64

Method 2 (Efficient): 
We can simply take cube root of ‘a’ and cube root of ‘b’ and print the cubes of number between them.
 



1-  Given a = 24 b = 576

2-  acr = cbrt(a))  bcr = cbrt(b)
    acr = 3 and bcr = 8

3-  Print cubes of 3 to 8 that comes under 
    the range of a and b(including a and b
    both)
    27, 64, 125, 216, 343, 512

Below is implementation of above steps. 
 

C++




// Efficient method to print cubes
// between a and b
#include <cmath>
#include <iostream>
using namespace std;
 
// An efficient solution to print perfect
// cubes between a and b
void printCubes(int a, int b)
{
    // Find cube root of both a and b
    int acrt = cbrt(a);
    int bcrt = cbrt(b);
 
    // Print cubes between acrt and bcrt
    for (int i = acrt; i <= bcrt; i++)
        if (i * i * i >= a && i * i * i <= b)
            cout << i * i * i << " ";
}
 
// Driver code
int main()
{
    int a = 24, b = 576;
    cout << "Perfect cubes in given range:\n"
         << printCubes(a, b);
 
    return 0;
}

Java




// Java progroam for Efficient method
// to print cubes between a and b
 
class Test {
    // An efficient solution to print perfect
    // cubes between a and b
    static void printCubes(int a, int b)
    {
        // Find cube root of both a and b
        int acrt = (int)Math.cbrt(a);
        int bcrt = (int)Math.cbrt(b);
 
        // Print cubes between acrt and bcrt
        for (int i = acrt; i <= bcrt; i++)
            if (i * i * i >= a && i * i * i <= b)
                System.out.print(i * i * i + " ");
    }
 
    // Driver method
    public static void main(String[] args)
    {
        int a = 24, b = 576;
        System.out.println("Perfect cubes in given range:");
        printCubes(a, b);
    }
}

Python3




# Python3 code for Efficient method 
# to print cubes between a and b
 
def cbrt(n) :
    return (int)( n ** (1. / 3))
 
# An efficient solution to print
# perfect cubes between a and b
def printCubes(a, b) :
     
    # Find cube root of
    # both a and b
    acrt = cbrt(a)
    bcrt = cbrt(b)
 
    # Print cubes between acrt and bcrt
    for i in range(acrt, bcrt + 1) :
        if (i * i * i >= a and i * i * i <= b) :
            print(i * i * i, " ", end ="")
 
# Driver code
a = 24
b = 576
print("Perfect cubes in given range:")
printCubes(a, b)
 
 
# This code is contributed
# by Nikita Tiwari.

C#




// C# progroam for Efficient
// method to print cubes
// between a and b
using System;
 
class GFG
{
    // An efficient solution
    // to print perfect
    // cubes between a and b
    static void printCubes(int a,
                           int b)
    {
        // Find cube root of
        // both a and b
        int acrt = (int)Math.Pow(a,
                             (double)1 / 3);
        int bcrt = (int)Math.Pow(b,
                             (double)1 / 3);
 
        // Print cubes between
        // acrt and bcrt
        for (int i = acrt;
                 i <= bcrt; i++)
            if (i * i * i >= a &&
                i * i * i <= b)
                Console.Write(i * i *
                              i + " ");
    }
 
    // Driver Code
    static public void Main ()
    {
        int a = 24;
        int b = 576;
        Console.WriteLine("Perfect cubes " +
                          "in given range:");
        printCubes(a, b);
    }
}
 
// This code is contributed
// by ajit

PHP




<?php
// Efficient method to print
// cubes between a and b
 
// An efficient solution
// to print perfect
// cubes between a and b
 
function printCubes($a, $b)
{
    // Find cube root
    // of both a and b
    $acrt = (int)pow($a, 1 / 3);
    $bcrt = (int)pow($b, 1 / 3);
 
    // Print cubes between
    // acrt and bcrt
    for ($i = $acrt; $i <= $bcrt; $i++)
        if ($i * $i * $i >= $a &&
            $i * $i * $i <= $b)
                echo $i * $i * $i , " ";
}
 
// Driver code
$a = 24; $b = 576;
echo "Perfect cubes in given range:\n",
                    printCubes($a, $b);
 
// This code is contributed by ajit
?>

Javascript




<script>
    // Javascript progroam for Efficient
    // method to print cubes
    // between a and b
     
    // An efficient solution
    // to print perfect
    // cubes between a and b
    function printCubes(a, b)
    {
        // Find cube root of
        // both a and b
        let acrt = parseInt(Math.pow(a, 1 / 3), 10);
        let bcrt = parseInt(Math.pow(b, 1 / 3), 10);
  
        // Print cubes between
        // acrt and bcrt
        for (let i = acrt; i <= bcrt; i++)
            if (i * i * i >= a && i * i * i <= b)
                document.write((i * i * i) + " ");
    }
     
    let a = 24;
    let b = 576;
    document.write("Perfect cubes " + "in given range:" + "</br>");
    printCubes(a, b);
     
    // This code is contributed by rameshtravel07.
</script>

Output: 
 

Perfect cubes in given range:
27 64 125 216 343 512

This article is contributed by Sahil Chhabra. If you like GeeksforGeeks and would like to contribute, you can also write an article using contribute.geeksforgeeks.org or mail your article to contribute@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.
Please write comments if you find anything incorrect, or you want to share more information about the topic discussed above.
 

Attention reader! Don’t stop learning now. Get hold of all the important mathematical concepts for competitive programming with the Essential Maths for CP Course at a student-friendly price. To complete your preparation from learning a language to DS Algo and many more,  please refer Complete Interview Preparation Course.




My Personal Notes arrow_drop_up
Recommended Articles
Page :