SPY NUMBER IN C LANGUAGE
AMRUHA AHMED
11th May,2023.
A number whose sum of digits is equal to the product of digits is said to be a Spy Number.
DELVE DEEPER:
In order to check whether the given number is a spy number or not, we require three functions :
- sum () - to calculate the sum of digits of the number
- product () -to calculate the product of digits of the number
- main () - to accept the number and check whether sum and product of digits is equal or not
ALGORITHM FOR SUM FUNCTION:
- 1.start
- 2. The number "n" is passed as parameter to this function
- 3.Variable s is initialized to 0 for storing the sum of digits of "n".
- 4.while "n" is not equal to 0, the following steps need to be repeated:
- In “rem” store the last digit of n
- Calculate s as s+=rem
- Update n as n/=10
- 5.Stop
ALGORITHM FOR PRODUCT FUNCTION:
- 1.start
- 2. The number "n" is passed as parameter to this function
- 3.Variable p is initialized to 1 for storing the product of digits of "n".
- while "n" is not equal to 0, the following steps need to be repeated:
- In “rem” store the last digit of n
- Calculate p as p=p*rem
- Update n as n/=10
- 5.Stop
The following C program checks whether the given number is a Spy Number or not:
PROGRAM:
#include<stdio.h>
int sum(int n)
{
int s=0;//sum
while(n!=0)
{
int rem=n%10;//extracting the last digit of n
s=s+rem;//calculating sum
n=n/10;//updating n
}
return s;
}
int product(int n)
{
int p=1;//product
while(n!=0)
{
int rem=n%10;//extracting the last digit of n
p=p*rem;//calculating product
n=n/10;//updating n
}
return p;
}
void main()
{
int n,s,p;//n- number
printf("\n Enter a number:");
scanf("%d",&n);
p=product(n);//storing value of product() in p
s=sum(n);//storing value of sum() in s
if(p==s)//checking condition for spy number
printf("\n %d is a spy number",n);
else
printf("\n %d is not a spy number",n);
}
DRY RUN:
Suppose n=123 is passed as parameter to the sum function . The values of s,rem and n will be:
If we pass n=123 as parameter to the product function, the values of n,rem and p will be:
Since value returned from sum function is 6 and the value returned from product function is also 6, hence the number 123 is a spy number.
OUTPUT:
Enter a number:123
123 is a Spy Number
OUTPUT:
Enter a number:112
112 is not a Spy Number