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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 ``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;``}`

## 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. 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.
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