C program to print all disarium numbers between 1 to 100

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C program to print all disarium numbers between 1 to 100

In this program, we need to print all disarium numbers between 1 and 100 by following the algorithm as given below:

ALGORITHM:

main()

STEP 1: START
STEP 2: SET result =0
STEP 3: PRINT statement "Disarium numbers between 1 and 100 are"
STEP 4: REPEAT STEP 5 &6 UNTIL (i<=100)
STEP 5: result = sumOfDigits(i)
STEP 6: if(result==i) then PRINT i
STEP 7: RETURN 0
STEP 8: END

sumOfDigits(num)

STEP 1: START
STEP 2: SET sum =0, rem =0
STEP 3: len = calculateLength(num)
STEP 4: REPEAT STEP 5 to 8 UNTIL (num>0)
STEP 5: rem = num%10
STEP 6: sum = sum + (rem)^len
STEP 7: num =num/10
STEP 8: len--
STEP 9: RETURN sum
STEP 10: END

calculateLength(int n)

STEP 1: START
STEP 2: SET length =0
STEP 3: REPEAT STEP 4 & 5 UNTIL (n!=0)
STEP 4: length = length + 1
STEP 5: n =n/10
STEP 6: RETURN length.
STEP 7: END

PROGRAM:

#include <stdio.h>     
//calculateLength() will count the digits present in a number  
int calculateLength(int n){  
    int length = 0;  
    while(n != 0){  
        length = length + 1;  
        n = n/10;  
    }  
    return length;  
}  
   
//sumOfDigits() will calculates the sum of digits powered with their respective position  
int sumOfDigits(int num){  
    int sum = 0, rem = 0;  
    int len = calculateLength(num);  
      
    while(num > 0){  
        rem = num%10;  
        sum = sum + pow(rem,len);  
        num = num/10;  
        len--;  
    }  
    return sum;  
}  
      
int main()  
{  
    int result = 0;  
      
    //Displays all disarium numbers between 1 and 100  
    printf("Disarium numbers between 1 and 100 are\n");  
    for(int i = 1; i <= 100; i++){  
        result = sumOfDigits(i);  
      
        if(result == i)  
            printf("%d ", i);  
    }  
   
    return 0;  
}  

Output:

Disarium numbers between 1 and 100 are
1  2  3  4  5  6  7  8  9  89

Happy Number

A number is said to be happy if it yields 1 when replaced by the sum of squares of its digits repeatedly. If this process results in an endless cycle of numbers containing 4, then the number will be an unhappy number.

Let's understand by an example:

Number = 32
3²+ 2² = 13
1² + 3² = 10
1² + 0² = 1

In this example, we split 32 to get the sum of squares of its digits which forms another number (13), we replace 32 by 13 to continue this cycle until result 1. We found 32 a happy number.

If the above cycle for any number results 1 then that number will be a Happy number otherwise that will be an unhappy number resulting 4, 16, 37, 58, 89, 145, 42, 20,??

Some Happy numbers are 7, 28, 100, 320 etc.

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