Bhaskara’s Formula

Source: beecrowd

Version: Phuoc Hung OJ Extended

Problem Statement

Given real coefficients $A,B,C$ of $Ax^2+Bx+C=0$, calculate two real roots using the quadratic formula. If $A=0$ or $\Delta=B^2-4AC<0$, print the specified failure message. Otherwise compute $R_1=(-B+\sqrt{\Delta})/(2A)$ and $R_2=(-B-\sqrt{\Delta})/(2A)$.

Input

One line contains real numbers $A,B,C$ using a decimal point.

Output

If the real roots cannot be computed, print exactly Impossivel calcular. Otherwise print R1 = ... and R2 = ... on separate lines with exactly five digits after the decimal point.

Subtasks

Subtask 1 (20 points): All coefficients have up to two decimal digits and absolute value at most 10. Subtask 2 (30 points): All coefficients have up to two decimal digits and absolute value at most 100. Subtask 3 (50 points): All coefficients have up to two decimal digits and absolute value at most 1000.

Examples

Example 1

Input

1 -3 2

Output

R1 = 2.00000
R2 = 1.00000

Explanation

The discriminant is 1; its square root is 1, yielding roots 2 and 1.

Example 2

Input

1 0 1

Output

Impossivel calcular

Explanation

The discriminant equals -4; no real square root exists.