Inside a Closed Interval

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given integers $l,r,x$ with $l\le r$, determine whether $x$ belongs to the closed interval $[l,r]$. Both endpoints are included.

Input

One line with three integers $l,r,x$ in that order.

Output

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

Subtasks

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

Examples

Example 1

Input

2 6 2

Output

YES

Explanation

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

Example 2

Input

2 6 7

Output

NO

Explanation

The input gives 2, 6, 7. 2 <= 7 is True, and 7 <= 6 is False. Therefore the required output is ['NO'].