Round to the Nearest Integer

Version: Phuoc Hung OJ Extended

Problem Statement

Given a real number $x$, round it to the nearest integer under Python 3 round(x). If $x$ lies exactly halfway between consecutive integers, choose the even integer (ties-to-even). Print an integer, not a fixed-point representation.

Input

The only line contains a real number $x$.

Output

Print one integer: the result of round(x).

Subtasks

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

Examples

Example 1

Input

2.4

Output

2

Explanation. For input 2.4, round(x) produces 2. An exact halfway case is resolved by selecting the even candidate.

Example 2

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 3

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.