Fascinating Number

Given a number N, the task is to check whether it is fascinating or not.
Fascinating Number: When a number( 3 digits or more ) is multiplied by 2 and 3, and when both these products are concatenated with the original number, then it results in all digits from 1 to 9 present exactly once. There could be any number of zeros and are ignored.

Examples:

Input: 192
Output: Yes
After multiplication with 2 and 3, and concatenating with original number, resultant number is 192384576 which contains all digits from 1 to 9.

Input: 853
Output: No
After multiplication with 2 and 3, and concatenating with original number, the resultant number is 85317062559. In this, number 4 is missing and the number 5 has appeared multiple times.



Approach:

  1. Check if the given number has three digits or more. If not, print No.
  2. Else, Multiply the given number with 2 and 3.
  3. Concatenate these products with the given number to form a string.
  4. Traverse this string, keep the frequency count of the digits.
  5. Print No if any digit is missing or has appeared multiple times.
  6. Else, print Yes.

Below is the implementation of above approach:

C++

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// C++ program to implement 
// fascinating number
#include <bits/stdc++.h>
using namespace std;
  
// function to check if number
// is fascinating or not
bool isFascinating(int num)
{
    // frequency count array 
    // using 1 indexing
    int freq[10] = {0};
  
    // obtaining the resultant number
    // using string concatenation
    string val = "" + to_string(num) + 
                      to_string(num * 2) + 
                      to_string(num * 3);
  
    // Traversing the string 
    // character by character
    for (int i = 0; i < val.length(); i++) 
    {
  
        // gives integer value of 
        // a character digit
        int digit = val[i] - '0';
  
        // To check if any digit has
        // appeared multiple times
        if (freq[digit] > 0)
            return false;
        else
            freq[digit]++;
    }
  
    // Traversing through freq array to
    // check if any digit was missing
    for (int i = 1; i < 10; i++) 
    {
        if (freq[i] == 0)
            return false;
    }
    return true;
}
  
// Driver code
int main()
{
    // Input number
    int num = 192;
  
    // Not a valid number
    if (num < 100)
        cout << "No" << endl;
  
    else 
    {
        // Calling the function to 
        // check if input number 
        // is fascinating or not
        bool ans = isFascinating(num);
        if (ans)
            cout << "Yes";
        else
            cout << "No";
    }
}
  
// This code is contributed 
// by Subhadeep

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Java














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// Java program to implement fascinating number 


import java.io.*; 


import java.util.*; 


  


public class GFG { 


  


    // function to check if number is fascinating or not 


    public static boolean isFascinating(int num) 


    { 


        // frequency count array using 1 indexing 


        int[] freq = new int[10]; 


  


        // obtaining the resultant number 


        // using string concatenation 


        String val = "" + num + num * 2 + num * 3; 


  


        // Traversing the string character by character 


        for (int i = 0; i < val.length(); i++) { 


  


            // gives integer value of a character digit 


            int digit = val.charAt(i) - '0'; 


  


            // To check if any digit has 


            // appeared multiple times 


            if (freq[digit] > 0) 


                return false; 


            else


                freq[digit]++; 


        } 


  


        // Traversing through freq array to 


        // check if any digit was missing 


        for (int i = 1; i < freq.length; i++) { 


            if (freq[i] == 0) 


                return false; 


        } 


        return true; 


    } 


  


    // Driver code 


    public static void main(String args[]) 


    { 


        // Input number 


        int num = 192; 


  


        // Not a valid number 


        if (num < 100) 


            System.out.println("No"); 


  


        else { 


            // Calling the function to check 


            // if input number is fascinating or not 


            boolean ans = isFascinating(num); 


            if (ans) 


                System.out.println("Yes"); 


            else


                System.out.println("No"); 


        } 


    } 


} 



















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Python 3














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# Python 3 program to implement  


# fascinating number 


  


# function to check if number  


# is fascinating or not  


def isFascinating(num) : 


  


    # frequency count array  


    # using 1 indexing 


    freq = [0] * 10


  


    # obtaining the resultant number  


    # using string concatenation  


    val = (str(num) + str(num * 2) + 


                      str(num * 3)) 


  


    # Traversing the string  


    # character by character  


    for i in range(len(val)) : 


  


        # gives integer value of  


        # a character digit  


        digit = int(val[i]) 


  


        # To check if any digit has  


        # appeared multiple times  


        if freq[digit] > 0 : 


            return False


        else : 


            freq[digit] += 1


  


    # Traversing through freq array to  


    # check if any digit was missing  


    for i in range(1, 10) : 


  


        if freq[i] == 0 : 


            return False


  


    return True


  


# Driver Code 


if __name__ == "__main__" : 


  


    # Input number  


    num = 192


  


    # Not a valid number 


    if num < 100 : 


        print("No") 


  


    else : 


          


        # Calling the function to  


        # check if input number  


        # is fascinating or not  


        ans = isFascinating(num) 


          


        if ans : 


            print("Yes") 


        else : 


            print("No") 


  


# This code is contributed by ANKITRAI1 



















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C#














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// C# program to implement 


// fascinating number 


using System; 


  


class GFG  


{ 


  


// function to check if number 


// is fascinating or not 


public static bool isFascinating(int num) 


{ 


    // frequency count array 


    // using 1 indexing 


    int[] freq = new int[10]; 


  


    // obtaining the resultant number 


    // using string concatenation 


    String val = "" + num.ToString() +  


                     (num * 2).ToString() +  


                     (num * 3).ToString(); 


  


    // Traversing the string  


    // character by character 


    for (int i = 0; i < val.Length; i++)  


    { 


  


        // gives integer value of 


        // a character digit 


        int digit = val[i] - '0'; 


  


        // To check if any digit has 


        // appeared multiple times 


        if (freq[digit] > 0) 


            return false; 


        else


            freq[digit]++; 


    } 


  


    // Traversing through freq array to 


    // check if any digit was missing 


    for (int i = 1; i < freq.Length; i++) 


    { 


        if (freq[i] == 0) 


            return false; 


    } 


    return true; 


} 


  


// Driver code 


static void Main() 


{ 


    // Input number 


    int num = 192; 


  


    // Not a valid number 


    if (num < 100) 


        Console.WriteLine("No"); 


  


    else


    { 


        // Calling the function to check 


        // if input number is fascinating or not 


        bool ans = isFascinating(num); 


        if (ans) 


            Console.WriteLine("Yes"); 


        else


            Console.WriteLine("No"); 


    } 


} 


} 


  


// This code is contributed by mits 



















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PHP














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<?php  


// PHP program to implement  


// fascinating number 


  


// function to check if number 


// is fascinating or not 


function isFascinating($num) 


{ 


    // frequency count array  


    // using 1 indexing 


    $freq = array_fill(0, 10, NULL); 


  


    // obtaining the resultant number 


    // using string concatenation 


    $val = "" . $num . ($num * 2).  


                       ($num * 3); 


  


    // Traversing the string  


    // character by character 


    for ($i = 0; $i < strlen($val); $i++)  


    { 


  


        // gives integer value of  


        // a character digit 


        $digit = $val[$i] - '0'; 


  


        // To check if any digit has 


        // appeared multiple times 


        if ($freq[$digit] > 0) 


            return false; 


        else


            $freq[$digit]++; 


    } 


  


    // Traversing through freq array to 


    // check if any digit was missing 


    for ($i = 1; $i < 10; $i++)  


    { 


        if ($freq[$i] == 0) 


            return false; 


    } 


    return true; 


} 


  


// Driver code 


  


// Input number 


$num = 192; 


  


// Not a valid number 


if ($num < 100) 


    echo "No" ; 


  


else


{ 


    // Calling the function to  


    // check if input number  


    // is fascinating or not 


    $ans = isFascinating($num); 


    if ($ans) 


        echo "Yes"; 


    else


        echo "No"; 


} 


  


// This code is contributed  


// by ChitraNayal 


?> 



















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Output:


Yes






          
          
          

          

    

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