What is a fantastic number?

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.

geeksforgeeks.org - Fascinating Number - GeeksforGeeks

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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:

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

Below is the implementation of above approach:

C++14

#include using namespace std; bool isFascinating( int num) { int freq[10] = {0}; string val = "" + to_string(num) + to_string(num * 2) + to_string(num * 3); for ( int i = 0; i < val.length(); i++) { int digit = val[i] - '0' ; if (freq[digit] and digit != 0 > 0) return false ; else freq[digit]++; } for ( int i = 1; i < 10; i++) { if (freq[i] == 0) return false ; } return true ; } int main() { int num = 192; if (num < 100) cout << "No" << endl; else { bool ans = isFascinating(num); if (ans) cout << "Yes" ; else cout << "No" ; } } Java import java.io.*; import java.util.*; public class GFG { public static boolean isFascinating( int num) { int [] freq = new int [ 10 ]; String val = "" + num + num * 2 + num * 3 ; for ( int i = 0 ; i < val.length(); i++) { int digit = val.charAt(i) - '0' ; if (freq[digit]> 0 && digit != 0 ) return false ; else freq[digit]++; } for ( int i = 1 ; i < freq.length; i++) { if (freq[i] == 0 ) return false ; } return true ; } public static void main(String args[]) { int num = 192 ; if (num < 100 ) System.out.println( "No" ); else { boolean ans = isFascinating(num); if (ans) System.out.println( "Yes" ); else System.out.println( "No" ); } } } Python 3

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def isFascinating(num) : freq = [ 0 ] * 10 val = ( str (num) + str (num * 2 ) + str (num * 3 )) for i in range ( len (val)) : digit = int (val[i]) if freq[digit] and digit ! = 0 > 0 : return False else : freq[digit] + = 1 for i in range ( 1 , 10 ) : if freq[i] = = 0 : return False return True if __name__ = = "__main__" : num = 192 if num < 100 : print ( "No" ) else : ans = isFascinating(num) if ans : print ( "Yes" ) else : print ( "No" ) C# using System; class GFG { public static bool isFascinating( int num) { int [] freq = new int [10]; String val = "" + num.ToString() + (num * 2).ToString() + (num * 3).ToString(); for ( int i = 0; i < val.Length; i++) { int digit = val[i] - '0' ; if (freq[digit] && digit != 0 > 0 ) return false ; else freq[digit]++; } for ( int i = 1; i < freq.Length; i++) { if (freq[i] == 0) return false ; } return true ; } static void Main() { int num = 192; if (num < 100) Console.WriteLine( "No" ); else { bool ans = isFascinating(num); if (ans) Console.WriteLine( "Yes" ); else Console.WriteLine( "No" ); } } } PHP 0 && $digit != 0) return false; else $freq [ $digit ]++; } for ( $i = 1; $i < 10; $i ++) { if ( $freq [ $i ] == 0) return false; } return true; } $num = 192; if ( $num < 100) echo "No" ; else { $ans = isFascinating( $num ); if ( $ans ) echo "Yes" ; else echo "No" ; } ?> Javascript

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Output: Yes

Time Complexity: O(|num|)

Auxiliary Space: O(10)

geeksforgeeks.org - Fascinating Number - GeeksforGeeks

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