Half-open Range Check

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given $L<R$ and an integer $x$, check membership in the half-open range $[L,R)$: include $L$, exclude $R$.

Input

One line contains three integers $L,R,x$.

Output

Print YES when $L\le x<R$, otherwise 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 7 7

Output

NO

Explanation

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

Example 2

Input

2 7 2

Output

YES

Explanation

The input gives 2, 7, 2. 2 <= 2 is True, and 2 < 7 is True. Therefore the required output is ['YES'].