Problem Statement

There are $5000000000000000$ variables $x_1, x_2, \dots, x_{5000000000000000}$.
Is it possible to make the logical formula $f(x_1, x_2, \dots, x_{5000000000000000})$ true by assigning true or false to each of $x_1, x_2, \dots, x_{5000000000000000}$?

Here, $f(x_1, x_2, \dots, x_{5000000000000000})$ is defined as follows.

$\displaystyle f(x_1, x_2, \dots, x_{5000000000000000}) := \bigwedge_{i=1}^{N} (x_{a_i} \vee x_{a_i +1} \vee \cdots \vee x_{b_i} )$

Input

$N$
$a_1\ b_i$
$\vdots$
$a_N\ b_N$

$1 \leq N \leq 10^5$
$1 \leq a_i \leq b_i \leq 5000000000000000$

Output

Print Yes if an assignment satisfying the condition exists, and No otherwise.

Sample

2
1 1
2 2

Yes