Question

Problem 1: More than 2500 years ago, mathematicians got interested in numbers.

Armstrong Numbers: The number 153 has the odd property that 1³+5³ + 3³ = 1 + 125 + 27 = 153. Namely, 153 is equal to the sum of the cubes of its own digits.

Perfect Numbers: A number is said to be perfect if it is the sum of its own divisors (excluding itself). For example, 6 is perfect since 1, 2, and 3 divide evenly into 6 and 1+ 2 + 3 = 6.

Input File

The input is taken from a file named number.in and which a sequence of numbers, one per line, terminated by a line containing the number 0.

Output File

All the numbers read from the input file, are printed one per line followed by a sentence indicating whether the number is or is not Armstrong number and whether it is or is not a perfect number.

Sample Input

153

6

0

Sample Output

153 is an Armstrong number but it is not a perfect number.

6 is not an Armstrong number but it is a perfect number.

Answer 1

#include<stdio.h>
#include<math.h>
//function for Armstrong number
int Armstrong(int number){
   int t,reminder,tot=0;
   t=number;
   while(number>0){
       reminder=number%10;
       tot=tot+(pow(reminder,3));
       number=number/10;
   }
   if(t==tot)
       return 1;   
   else
       return 0;
}
//function for perfect nubmer
int Perfect(int number){
   int tot=0,i;
   for(i=1;i<number;i++){
       if(number%i==0){
           tot=tot+i;
       }
   }
   if(tot==number){
       return 1;
   }  
   else{
       return 0;
   }
}

int main(){
   //file referencing objects   
   FILE *file1;
   FILE *file2;
   //opening both files according to their required modes
file1 = fopen("number.in", "r");   //opening file1 in read mode
file2 = fopen("output.txt", "w");   //opening file1 in write mode
int numArr[1000];   //array creation for storing numbers from file
int i;
for(i=0;i<1000;i++){  
fscanf(file1, "%d", &numArr[i]);
if(numArr[i]==0){
           break;
}
int arm =Armstrong(numArr[i]);
       int perf =Perfect(numArr[i]);
       //writing output in to file2 named output.txt
       if(arm==1 && perf==1)
           fprintf(file2,"%d is Armstrong number and Perfect number\n",numArr[i]);
       else if(arm==1 && perf==0)
           fprintf(file2,"%d is Armstrong but it is not a Perfect number\n",numArr[i]);
       else if(arm==0 && perf==1)
           fprintf(file2,"%d is not a Armstrong number but it is a Perfect number\n",numArr[i]);
       else
           fprintf(file2,"%d is not a Armstrong number and not a Perfect number\n",numArr[i]);
}
//closing files
   fclose(file1);
   fclose(file2);
   return 0;
}

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Note :please maintain .c file , number.in and output.txt 3 files in one folder  

if any queries please comment me...