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# Check if number formed by joining two Numbers is Perfect Cube

Given two numbers a and b, the task is to check whether the concatenation of a and b is a perfect cube or not.
Examples:

Input: a = 6, b = 4
Output: Yes
Concatenating 6 and 4 = 64. Since 64 (= 4 x 4 x 4) is a perfect cube, the output is Yes.
Input: a = 100, b = 1
Output: No
Concatenating 100 and 1 = 1001. Since 1001 is not a perfect cube, the output is No.

Approach: Since appending strings are comparatively easier than appending numbers, the simplest way to solve this problem is to convert the given integers into strings. Once the concatenated number has been obtained, it can be easily checked if it is a perfect cube or not.
Below is the implementation of the above approach.

## C++

 `// C++ program to check if the``// concatenation of two numbers``// is a perfect cube or not` `#include ``using` `namespace` `std;` `// Function to check if a number is``// a perfect Cube or not``bool` `isPerfectCube(``int` `x)``{``    ``long` `double` `cr = round(cbrt(x));` `    ``return` `(cr * cr * cr == x);``}` `// Function to check if``// concatenation of two numbers``// is a perfect cube or not``void` `checkCube(``int` `a, ``int` `b)``{` `    ``// Convert numbers to string``    ``// using to_string()``    ``string s1 = to_string(a);``    ``string s2 = to_string(b);` `    ``// Concatenate the numbers and``    ``// convert it into integer``    ``int` `c = stoi(s1 + s2);` `    ``// Check if concatenated value``    ``// is perfect cube or not``    ``if` `(isPerfectCube(c)) {``        ``cout << ``"Yes"``;``    ``}``    ``else` `{``        ``cout << ``"No"``;``    ``}``}` `// Driver Code``int` `main()``{``    ``int` `a = 6;``    ``int` `b = 4;` `    ``checkCube(a, b);` `    ``return` `0;``}`

## Java

 `// Java program to check if the``// concatenation of two numbers``// is a perfect cube or not``import` `java.io.*;``public` `class` `GFG {``    ` `    ``// Function to check if a number is``    ``// a perfect Cube or not``    ``static` `boolean` `isPerfectCube(``int` `x)``    ``{``        ``long` `cr = Math.round(Math.cbrt(x));``    ` `        ``return` `(cr * cr * cr == x);``    ``}``    ` `    ``// Function to check if``    ``// concatenation of two numbers``    ``// is a perfect cube or not``    ``static` `void` `checkCube(``int` `a, ``int` `b)``    ``{``    ` `        ``// Convert numbers to string``        ``// using to_string()``        ``String s1 = Integer.toString(a);``        ``String s2 = Integer.toString(b);``    ` `        ``// Concatenate the numbers and``        ``// convert it into integer``        ``int` `c = Integer.parseInt(s1 + s2);``    ` `        ``// Check if concatenated value``        ``// is perfect cube or not``        ``if` `(isPerfectCube(c)) {``                ``System.out.println(``"Yes"``);``        ``}``        ``else` `{``                ``System.out.println(``"No"``);``        ``}``    ``}``    ` `    ``// Driver Code``    ``public` `static` `void` `main (String[] args)``    ``{``        ``int` `a = ``6``;``        ``int` `b = ``4``;``    ` `        ``checkCube(a, b);  ``    ``}``}` `// This code is contributed by Yash_R`

## Python 3

 `# Python 3 program to check if the``# concatenation of two numbers``# is a perfect cube or not` `# Function to check if a number is``# a perfect Cube or not``def` `isPerfectCube(x):``    ``x ``=` `abs``(x)``    ``return` `int``(``round``(x ``*``*` `(``1.` `/` `3``))) ``*``*` `3` `=``=` `x` `# Function to check if``# concatenation of two numbers``# is a perfect cube or not``def` `checkCube(a, b):` `    ``# Convert numbers to string``    ``# using to_string()``    ``s1 ``=` `str``(a)``    ``s2 ``=` `str``(b)` `    ``# Concatenate the numbers and``    ``# convert it into integer``    ``c ``=` `int``(s1 ``+` `s2)` `    ``# Check if concatenated value``    ``# is perfect cube or not``    ``if` `(isPerfectCube(c)):``        ``print``(``"Yes"``)``    ``else``:``        ``print``(``"No"``)` `# Driver Code``if` `__name__ ``=``=` `'__main__'``:``    ``a ``=` `6``    ``b ``=` `4` `    ``checkCube(a, b)``    ` `# This code is contributed by Surendra_Gangwar`

## C#

 `// C# program to check if the``// concatenation of two numbers``// is a perfect cube or not``using` `System;` `class` `GFG {``    ` `    ``// Function to check if a number is``    ``// a perfect Cube or not``    ``static` `bool` `isPerfectCube(``int` `x)``    ``{``        ``double` `cr = Math.Round(Math.Cbrt(x));``    ` `        ``return` `(cr * cr * cr == x);``    ``}``    ` `    ``// Function to check if``    ``// concatenation of two numbers``    ``// is a perfect cube or not``    ``static` `void` `checkCube(``int` `a, ``int` `b)``    ``{``    ` `        ``// Convert numbers to string``        ``// using to_string()``        ``string` `s1 = Convert.ToString(a);``        ``string` `s2 = Convert.ToString(b);``    ` `        ``// Concatenate the numbers and``        ``// convert it into integer``        ``int` `c = Convert.ToInt32(s1 + s2);``    ` `        ``// Check if concatenated value``        ``// is perfect cube or not``        ``if` `(isPerfectCube(c)) {``                ``Console.WriteLine(``"Yes"``);``        ``}``        ``else` `{``                ``Console.WriteLine(``"No"``);``        ``}``    ``}``    ` `    ``// Driver Code``    ``public` `static` `void` `Main ()``    ``{``        ``int` `a = 6;``        ``int` `b = 4;``    ` `        ``checkCube(a, b);``    ``}``}` `// This code is contributed by AbhiThakur`

## Javascript

 ``

Output:

`Yes`

Time Complexity: O(cbrt(concat(a,b)))
Auxiliary Space: O(1)

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