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Self Descriptive Number

  • Difficulty Level : Easy
  • Last Updated : 09 Oct, 2020
Geek Week

A self-descriptive number is an integer n in given base b is b digits long in which each digit at position p (the most significant digit being at position 0 and the least significant at position b – 1) counts how many times a digit p is in n. 
For example in base 10, 6210001000 is a self descriptive number. 

Explanation : 
It is 10 digit number in base 10. 
It has 6 at the position 0 and there are six 0s in 6210001000. 
It has 2 at the position 1 and there are two 1s in 6210001000. 
It has 1 at the position 2 and there is one 2s in 6210001000. 
It has 0 at the position 3 and there are zero 3s in 6210001000. 
It has 0 at the position 4 and there are zero 4s in 6210001000. 
It has 0 at the position 5 and there are zero 5s in 6210001000. 
It has 1 at the position 6 and there is one 6 in 6210001000. 
It has 0 at the position 7 and there are zero 7s in 6210001000. 
It has 0 at the position 8 and there are zero 8s in 6210001000. 
It has 0 at the position 9 and there are zero 9s in 6210001000.
[Source : Wikipedia]

Here is a program to print all self-descriptive numbers below 100000000. In the below program we have just ignored one fact about the self-descriptive number that it should have as many number of digits as much the base is given.

Description of Program : 
1 . Firstly all the digits get extracted from the outer loop and are stored in a variable b in each iteration. 
2 . Then in the inner loop there is a count on how many times number i (this i is ith index of outer loop) is present in the string. 
3 . Finally that count is compared with the digit present at the ith index stored in variable b. 

C++




// C++ program to print
// all self descriptive
// number below 100000000
#include <iostream>
using namespace std;
 
bool isSelfDescriptiveNumber(int num)
{
    // converting the integer
    // num to string
    string s = to_string(num);
    for (int i = 0;
             i < s.size(); i++)
    {
 
        // Extracting each digit
        // one by one from the
        // string
        char temp_char = s.at(i);
 
        // converting the string
        // (digit) into integer b
        // variable stores the digit
        // present at index 'i'
        int b = temp_char - '0';
 
        // counting how many
        // times the particular
        // digit occur in the
        // whole number "num"
        int count = 0;
        for (int j = 0;
                 j < s.size(); j++)
        {
            // converting string
            // char to integer
            int temp = s.at(j) - '0';
 
            // checking whether it is
            // equal to the index 'i'
            // if it is then increment
            // the count .
            if (temp == i)
            {
                count++;
            }
        }
         
        // If it is not equal
        // it return false .
        if (count != b)
            return false;
    }
    return true;
}
 
// Driver Code
int main()
{
    for (int i = 0; i < 100000000; i++)
        if (isSelfDescriptiveNumber(i))
            cout << i << endl;
}
 
// This code is contributed by
// Manish Shaw(manishshaw1)

Java




// Java program to print all self descriptive
// number below 100000000
public class SelfDescriptive {
 
    public static boolean isSelfDescriptiveNumber(int num)
    {
        // converting the integer num to string
        String s = Integer.toString(num);
        for (int i = 0; i < s.length(); i++) {
 
            // Extracting each digit one by one from the string
            String temp_char = s.charAt(i) + "";
 
            // converting the string (digit) into integer
            // b variable stores the digit present at index 'i'
            int b = Integer.parseInt(temp_char);
 
            // counting how many times the particular digit
            // occur in the whole number "num"
            int count = 0;
            for (int j = 0; j < s.length(); j++) {
                // converting string char to integer
                int temp = Integer.parseInt(s.charAt(j) + "");
 
                // checking whether it is equal to the index 'i'
                // if it is then increment the count .
                if (temp == i) {
                    count++;
                }
            }
 
            // If it is not equal
            // it return false .
            if (count != b)
                return false;
        }
        return true;
    }
 
    public static void main(String[] args)
    {
        for (int i = 0; i < 100000000; i++)
            if (isSelfDescriptiveNumber(i))
                System.out.println(i);       
    }
}

Python3




# Python3 program to print
# all self descriptive
# number below 100000000
def isSelfDescriptiveNumber(num):
 
    # Converting the integer
    # num to string
    s = str(num)
     
    for i in range(len(s)):
  
        # Extracting each digit
        # one by one from the
        # string
        temp_char = s[i]
  
        # Converting the string
        # (digit) into integer b
        # variable stores the digit
        # present at index 'i'
        b = ord(temp_char) - ord('0')
  
        # Counting how many
        # times the particular
        # digit occur in the
        # whole number "num"
        count = 0
         
        for j in range(len(s)):
             
            # Converting string
            # char to integer
            temp = ord(s[j]) - ord('0')
  
            # Checking whether it is
            # equal to the index 'i'
            # if it is then increment
            # the count .
            if (temp == i):
                count += 1
                 
        # If it is not equal
        # it return false .
        if (count != b):
            return False
     
    return True
 
# Driver code
if __name__=="__main__":
     
    for i in range(100000000):
        if (isSelfDescriptiveNumber(i)):
            print(i)
 
# This code is contributed by rutvik_56

C#




// C# program to print
// all self descriptive
// number below 100000000
using System;
  
class GFG
{
static bool isSelfDescriptiveNumber(int num)
{
    // converting the integer
    // num to string
    string s = num.ToString();
    for (int i = 0;
             i < s.Length; i++)
    {
 
        // Extracting each digit
        // one by one from the
        // string
        string temp_char = s[i] + "";
 
        // converting the string
        // (digit) into integer b
        // variable stores the digit
        // present at index 'i'
        int b = int.Parse(temp_char);
 
        // counting how many
        // times the particular
        // digit occur in the
        // whole number "num"
        int count = 0;
        for (int j = 0;
                 j < s.Length; j++)
        {
            // converting string
            // char to integer
            int temp = int.Parse(s[j] + "");
 
            // checking whether it is
            // equal to the index 'i'
            // if it is then increment
            // the count .
            if (temp == i)
            {
                count++;
            }
        }
          
        // If it is not equal
        // it return false .
        if (count != b)
            return false;
    }
    return true;
}
  
// Driver Code
static void Main()
{
    for (int i = 0; i < 100000000; i++)
        if (isSelfDescriptiveNumber(i))
            Console.WriteLine(i);   
}
}
  
// This code is contributed by
// Manish Shaw(manishshaw1)

PHP




<?php
// PHP program to print
// all self descriptive
// number below 100000000
 
// Note:
// 100000000 is a huge no so
// it give sometime TLE error
// because its takes compile
// time above 5 sec
function isSelfDescriptiveNumber($num)
{
    // converting the integer
    // num to string
    $s = strval($num);
    for ($i = 0; $i < strlen($s); $i++)
    {
 
        // Extracting each digit
        // one by one from the
        // string
        $temp_char = $s[$i];
 
        // converting the string
        // (digit) into integer b
        // variable stores the digit
        // present at index 'i'
        $b = $temp_char - '0';
 
        // counting how many
        // times the particular
        // digit occur in the
        // whole number "num"
        $count = 0;
        for ($j = 0; $j < strlen($s); $j++)
        {
            // converting string
            // char to integer
            $temp = $s[$j] - '0';
 
            // checking whether it is
            // equal to the index 'i'
            // if it is then increment
            // the count .
            if ($temp == $i)
            {
                $count++;
            }
        }
         
        // If it is not equal
        // it return false .
        if ($count != $b)
            return false;
    }
    return true;
}
 
// Driver Code
for ($i = 0; $i < 100000000; $i++)
    if (isSelfDescriptiveNumber($i))
        echo $i."\n";
         
// This code is contributed
// by mits
?>

Output: 

1210
2020
21200
3211000

 

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