# Perfect cubes in a range

• Difficulty Level : Basic
• Last Updated : 23 Jun, 2022

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 ``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

 ``

## Javascript

 ``

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 ``#include ``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;``}``// improved by prophet1999`

## 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

 `= ``\$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

 ``

Output:

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

This article is contributed by Sahil Chhabra and improved by prophet1999. If you like GeeksforGeeks and would like to contribute, you can also write an article using write.geeksforgeeks.org or mail your article to review-team@geeksforgeeks.org. See your article appearing on the GeeksforGeeks main page and help other Geeks.