0133. Square Roots

Имя входного файла:	sqrooots.in
Имя выходного файла:	sqrooots.out
Ограничение по времени:	500 ms
Ограничение по памяти:	64 megabytes

Your task is to find the real roots of the equation ax²+bx+c=0.

Input file

Input file consists of three integers a, b and c. Their absolute values may not exceed 10⁹.

Output file

The first line of the output file represents the number of roots of the equation. The next k lines contain one real number each rounded up to six digits after decimal point – the root of this equation. The roots have to be displayed in ascending order. If there are infinitely many roots, output a single number -1 instead of the number of roots.

Examples:

sqrooots.in	sqrooots.out
1 -2 -3	2 -1.000000 3.000000

Источник: Petrozavodsk Summer 2003. Blitz Kontest, Monday, August 25
Автор: Andrew Lopatin, Nick Durov

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