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You are given a string S. You need to print short name of the given string.

Input Format

The first and only line of input contains a string S.

Constraints

1 <= |S| <= 100

Output Format

You need to print the short name of provided string.

Sample Input 0

As nayeemjoy59 states you can easily complete the squares to get:
Now one may resolve for x (or y) and do a brute force check in the range 1..c.
However there is another path, that may pay off for big c and d. The expression is of form:
Here you think immediatly of gaussian integers:

That is: you can get every combination of squares of X and Y by factoring K into (ordinary) primes, then this primes into their gaussian factors and take all combinations that give 2 conjugate complex factors.
some details see here
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