Observe Half-to-Even Rounding

Version: Phuoc Hung OJ Extended

Problem Statement

Given a real number $x$, demonstrate Python 3 ties-to-even rounding by computing round(x) and printing the resulting integer. For exactly representable half-integer inputs, select the even one of the two equidistant integers, including for negative inputs.

Input

The only line contains a real number $x$.

Output

Print one integer: round(x) under ties-to-even rounding.

Subtasks

• Subtask 1 (100 points): $|x|\le10^{12}$.

Examples

Example 1

Input

2.5

Output

2

Explanation. For input 2.5, round(x) produces 2. An exact halfway case is resolved by selecting the even candidate.

Example 2

Input

3.5

Output

4

Explanation. For input 3.5, round(x) produces 4. An exact halfway case is resolved by selecting the even candidate.

Example 3

Input

-2.5

Output

-2

Explanation. For input -2.5, round(x) produces -2. An exact halfway case is resolved by selecting the even candidate.