# Print all substring of a number without any conversion

Last Updated : 01 Sep, 2022

Given an integer N, the task is to print all the substring of N without doing any conversion i.e converting it into a string or an array.

Examples:

Input: N = 12345
Output: Possible Substrings: {1, 12, 123, 1234, 12345, 2, 23, 234, 2345, 3, 34, 345, 4, 45, 5}
Input: N = 123
Output: Possible Substrings: {1, 12, 123, 2, 23, 3}

Approach:

1. Take the power of 10 according to size.
2. Divide the number till it will become 0 and print.
3. Then change the number to next the position of that number by taking the modulo with k.
4. Update the no. of digits.
5. Repeat the same process till n becomes 0.

Below is the implementation of above approach:

## C++

 `// C++ implementation of above approach` `#include ` `using` `namespace` `std;`   `// Function to print the substrings of a number` `void` `printSubstrings(``int` `n)` `{` `    ``// Calculate the total number of digits` `    ``int` `s = ``log10``(n);`   `    ``// 0.5 has been added because of it will` `    ``// return double value like 99.556` `    ``int` `d = (``int``)(``pow``(10, s) + 0.5);` `    ``int` `k = d;`   `    ``while` `(n) {`   `        ``// Print all the numbers from` `        ``// starting position` `        ``while` `(d) {` `            ``cout << n / d << endl;` `            ``d = d / 10;` `        ``}`   `        ``// Update the no.` `        ``n = n % k;`   `        ``// Update the no.of digits` `        ``k = k / 10;` `        ``d = k;` `    ``}` `}`   `// Driver code` `int` `main()` `{` `    ``int` `n = 123;` `    ``printSubstrings(n);`   `    ``return` `0;` `}`

## Java

 `// Java implementation ` `// of above approach` `import` `java.util.*;` `import` `java.lang.*;` `import` `java.io.*;`   `class` `GFG` `{` `// Function to print the` `// substrings of a number` `static` `void` `printSubstrings(``int` `n)` `{` `    ``// Calculate the total` `    ``// number of digits` `    ``int` `s = (``int``)Math.log10(n);`   `    ``// 0.5 has been added because ` `    ``// of it will return double` `    ``// value like 99.556` `    ``int` `d = (``int``)(Math.pow(``10``, s) + ``0.5``);` `    ``int` `k = d;`   `    ``while` `(n > ``0``)` `    ``{`   `        ``// Print all the numbers ` `        ``// from starting position` `        ``while` `(d > ``0``) ` `        ``{` `            ``System.out.println(n / d);` `            ``d = d / ``10``;` `        ``}`   `        ``// Update the no.` `        ``n = n % k;`   `        ``// Update the no.of digits` `        ``k = k / ``10``;` `        ``d = k;` `    ``}` `}`   `// Driver code` `public` `static` `void` `main(String args[])` `{` `    ``int` `n = ``123``;` `    ``printSubstrings(n);` `}` `}`   `// This code is contributed ` `// by Subhadeep`

## Python3

 `# Python3 implementation of above approach` `import` `math`   `# Function to print the substrings of a number` `def` `printSubstrings(n):` `    `  `    ``# Calculate the total number of digits` `    ``s ``=` `int``(math.log10(n));`   `    ``# 0.5 has been added because of it will` `    ``# return double value like 99.556` `    ``d ``=` `(math.``pow``(``10``, s));` `    ``k ``=` `d;`   `    ``while` `(n > ``0``):`   `        ``# Print all the numbers from` `        ``# starting position` `        ``while` `(d > ``0``):` `            ``print``(``int``(n ``/``/` `d));` `            ``d ``=` `int``(d ``/` `10``);`   `        ``# Update the no.` `        ``n ``=` `int``(n ``%` `k);`   `        ``# Update the no.of digits` `        ``k ``=` `int``(k ``/``/` `10``);` `        ``d ``=` `k;`   `# Driver code` `if` `__name__ ``=``=` `'__main__'``:` `    ``n ``=` `123``;` `    ``printSubstrings(n);`   `# This code is contributed by Rajput-Ji`

## C#

 `// C# implementation ` `// of above approach` `using` `System;`   `class` `GFG` `{` `// Function to print the` `// substrings of a number` `static` `void` `printSubstrings(``int` `n)` `{` `    ``// Calculate the total` `    ``// number of digits` `    ``int` `s = (``int``)Math.Log10(n);`   `    ``// 0.5 has been added because ` `    ``// of it will return double` `    ``// value like 99.556` `    ``int` `d = (``int``)(Math.Pow(10, s) + 0.5);` `    ``int` `k = d;`   `    ``while` `(n > 0)` `    ``{`   `        ``// Print all the numbers ` `        ``// from starting position` `        ``while` `(d > 0) ` `        ``{` `            ``Console.WriteLine(n / d);` `            ``d = d / 10;` `        ``}`   `        ``// Update the no.` `        ``n = n % k;`   `        ``// Update the no.of digits` `        ``k = k / 10;` `        ``d = k;` `    ``}` `}`   `// Driver code` `public` `static` `void` `Main()` `{` `    ``int` `n = 123;` `    ``printSubstrings(n);` `}` `}`   `// This code is contributed ` `// by mits`

## PHP

 ``

## Javascript

 ``

Output:

```1
12
123
2
23
3```

Time Complexity: O(nlogn)

Auxiliary Space: O(1)

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