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C. Two TVs

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputPolycarp is a great fan of television.

He wrote down all the TV programs he is interested in for today. His list contains *n* shows, *i*-th of them starts at moment *l*_{i} and ends at moment *r*_{i}.

Polycarp owns two TVs. He can watch two different shows simultaneously with two TVs but he can only watch one show at any given moment on a single TV. If one show ends at the same moment some other show starts then you can't watch them on a single TV.

Polycarp wants to check out all *n* shows. Are two TVs enough to do so?

Input

The first line contains one integer *n* (1 ≤ *n* ≤ 2·10^{5}) — the number of shows.

Each of the next *n* lines contains two integers *l*_{i} and *r*_{i} (0 ≤ *l*_{i} < *r*_{i} ≤ 10^{9}) — starting and ending time of *i*-th show.

Output

If Polycarp is able to check out all the shows using only two TVs then print "YES" (without quotes). Otherwise, print "NO" (without quotes).

Examples

Input

3

1 2

2 3

4 5

Output

YES

Input

4

1 2

2 3

2 3

1 2

Output

NO

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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