Print all substring of a number without any conversion

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 become 0.

Below is the implementation of above approach:

C++

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// C++ implementation of above approach
#include <bits/stdc++.h>
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;
}

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Java

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// 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

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Python3

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# 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

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C#

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// 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

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PHP

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<?php
// PHP implementation of above approach
  
// Function to print the substrings 
// of a number
function printSubstrings($n)
{
    // Calculate the total number 
    // of digits
    $s = (int)log10($n);
  
    // 0.5 has been added because 
    // of it will return double 
    // value like 99.556
    $d = (int)(pow(10, $s) + 0.5);
    $k = $d;
  
    while ($n
    {
  
        // Print all the numbers from
        // starting position
        while ($d
        {
            echo (int)($n / $d) . "\n";
            $d = (int)($d / 10);
        }
  
        // Update the no.
        $n = $n % $k;
  
        // Update the no.of digits
        $k = (int)($k / 10);
        $d = $k;
    }
}
  
// Driver code
$n = 123;
printSubstrings($n);
  
// This code is contributed by mits
?>

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Output:

1
12
123
2
23
3


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