Triangle

Source: beecrowd

Version: Phuoc Hung OJ Extended

Problem Statement

Given positive real lengths $A,B,C$, print the triangle perimeter if they form a non-degenerate triangle. Otherwise, regard $A,B$ as trapezium bases and $C$ as its height, and print area $(A+B)C/2$. Results are rounded to one decimal place; exact halfway values are rounded upward.

Input

One line contains three positive real numbers $A,B,C$, each with at most one decimal digit.

Output

Print exactly one line Perimetro = X for a triangle, or Area = X otherwise; X has exactly one decimal place. Exact halfway values are rounded upward.

Subtasks

• Subtask 1 (20 points): 0 < A,B,C <= 10; at most one decimal digit.

• Subtask 2 (30 points): 0 < A,B,C <= 100; at most one decimal digit.

• Subtask 3 (50 points): 0 < A,B,C <= 1000; at most one decimal digit.

Examples

Example 1

Input

6.0 4.0 2.0

Output

Area = 10.0

Explanation

For this input, the case-specific computation and the required exact output are shown above. The triangle is degenerate; trapezium area is 10.0.

Example 2

Input

3.0 4.0 5.0

Output

Perimetro = 12.0

Explanation

For this input, the case-specific computation and the required exact output are shown above. The lengths form a triangle with perimeter 12.0.