Outside an Open Interval

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given $l<r$ and integer $x$, decide whether $x$ lies outside the open interval $(l,r)$; the endpoints are excluded.

Input

One line containing three integers $l,r,x$.

Output

Print YES if $x\le l$ or $x\ge r$; otherwise print NO.

Subtasks

• Subtask 1 (20 points): $-20\le L,R\le 20$, $-20\le x\le 20$; $L<R$.
• Subtask 2 (30 points): $-1000\le L,R\le 1000$, $-2000\le x\le 2000$; $L<R$.
• Subtask 3 (50 points): $-1000000000\le L,R\le 1000000000$, $-1000000000\le x\le 1000000000$; $L<R$.

Examples

Example 1

Input

2 6 2

Output

YES

Explanation

The input gives 2, 6, 2. 2 <= 2 is True, or 2 >= 6 is False. Therefore the required output is ['YES'].

Example 2

Input

2 6 4

Output

NO

Explanation

The input gives 2, 6, 4. 4 <= 2 is False, or 4 >= 6 is False. Therefore the required output is ['NO'].