Dangling Else

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Initialize $z=0$. Set $z=1$ if $x>0$ and $y>0$; set $z=2$ if $x>0$ and $y\le0$; otherwise retain $z=0$. Print $z$.

Input

A line contains two integers $x,y$.

Output

Print the integer $z$ determined by the stated rules.

Subtasks

Subtask 1 (20 points): Both integers have absolute value at most 2. Subtask 2 (30 points): Both integers have absolute value at most 100. Subtask 3 (50 points): Both integers have absolute value at most 10^9.

Examples

Example 1

Input

3 -2

Output

2

Explanation

Since x > 0 but y > 0 is false, the inner else sets z to 2.

Example 2

Input

-1 -2

Output

0

Explanation

Since x > 0 is false, the outer block does not run; z remains 0.