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Program to print all Kaprekar numbers between 1 to 100

A non-negative integer having base(10) is said to be the Kaprekar number if the representation of its square in its base can be split into two parts that add up to the original number, with the condition that the part formed from the low-order digits of the square must be non-zero-however, it is allowed to include leading zeroes.

Examples:

45 =  (45)2 = 2025 =20 + 25 -45
1 = 12 = 01 = 0 + 1 = 1

Algorithm

main()

  • STEP 1: START
  • STEP 2: REPEAT STEP 3 UNTIL (i<10)
  • STEP 3: if(Kaprekar(i)) then PRINT i
  • STEP 4: END

Kaprekar(int n)

  • STEP 1: START
  • STEP 2: if(n==1) RETURN true
  • STEP 3: sq_n = n*n
  • STEP 4: SET count_digits = 0
  • STEP 5: REPEAT STEP 6 and 7 UNTIL (sq_n!=0)
  • STEP 6: count_digits++
  • STEP 7: sq_n/=10
  • STEP 8: sq_n = n*n
  • STEP 9: REPEAT STEP 10 to 13 UNTIL r_digits<count_digits
  • STEP 10: eq_parts = (10)r_digits
  • STEP 11: if(eq_parts==n) then continue
  • STEP 12: sum = sq_n/eq_parts + sq_n%eq_parts
  • STEP 13: if(sum==n)
    then RETURN true
  • STEP 14: RETURN false.
  • STEP 15: END

Java Program

Output:

9  10  45  55  99 

Python Program

Output:

9  10  45  55  99

C Program

Output:

9  10  45  55  99 

C# Program:

Output:

9  10  45  55  99

PHP program

Output:

9  10  45  55  99 
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