Inside an Interval

Source: Phước Hưng OJ

Problem Statement

Given integers $a$, $b$, and $x$ with $a\le b$, determine whether $x$ belongs to the closed interval $[a,b]$.

Input

One line contains $a$, $b$, and $x$.

Output

Print YES if $a\le x\le b$; otherwise print NO.

Subtasks

• Subtask 1 (100%): $-10^9 \le a\le b\le 10^9$; $-10^9 \le x\le 10^9$

Examples

Example 1

Input

3 8 5

Output

YES

Explanation

For the sample values 3, 8, 5, evaluating the conditions in the statement gives YES. Therefore the program prints the shown output.

Example 2

Input

3 8 10

Output

NO

Explanation

For the sample values 3, 8, 10, evaluating the conditions in the statement gives NO. Therefore the program prints the shown output.