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# Fascinating Number or Not in C and CPP

Three-digit number is called fascinating number when it is concatenated with two multiplications (n * 2) and three multiplications (n * 3) so that all the digit from 1 to 9 are present exactly once.

NOTE: No matter how many zeros there are, they will be ignored. All the other digits need to occur only once.

For Example:

273 is a Fascinating Number.

273 * 1 = 273

273 * 2 = 546

273 * 3 = 819

We get the final number 273546819 by concatenating all the number. In this number, all digits from 1 to 9 appear exactly once.

## C program to check Fascinating

``````
#include<stdio.h>
int isFascinating(int n);

int main(){
int n;
printf("Enter 3 digit number : ");
scanf("%d", &n);
if(isFascinating(n)){
printf("Given number is Fascinating.");
}else{
printf("Given Number is not Fascinating.");
}
return 0;
}
int isFascinating(int n){
int n2 = n * 2;
int n3 = n * 3;
int freq = {0}; // to count freq. of the one digits

while(n!=0){
freq[n%10]++;
n = n / 10;
}

while(n2 != 0){
freq[n2 % 10]++;
n2 = n2 / 10;
}
while(n3 != 0){
freq[n3 % 10]++;
n3 = n3 / 10;
}
// If the number is fascinating then the freq array must have exactly 1 in all the indexes from 1 to 9;
for(int i = 1; i <= 9; i++){
if(freq[i] != 1){
return 0; // Not Fascinating No.
}
}
return 1; // Fascinating No.
}``````

## C++ Program to check Fascinating number

``````
#include<iostream>
using namespace std;
int isFascinating(int n);

int main(){
int n;
cout<<"Enter 3 digit number : ";
cin>>n;
if(isFascinating(n)){
cout<<"Given number is Fascinating.";
}else{
cout<<"Given Number is not Fascinating.";
}
return 0;
}
int isFascinating(int n){
int n2 = n * 2;
int n3 = n * 3;
int freq = {0}; // to count freq. of the one digits

while(n!=0){
freq[n%10]++;
n = n / 10;
}

while(n2 != 0){
freq[n2 % 10]++;
n2 = n2 / 10;
}
while(n3 != 0){
freq[n3 % 10]++;
n3 = n3 / 10;
}
// If the number is fascinating then the freq array must have exactly 1 in all the indexes from 1 to 9;
for(int i = 1; i <= 9; i++){
if(freq[i] != 1){
return 0; // Not Fascinating No.
}
}
return 1; // Fascinating No.
}``````
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