Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

The problem statement has recently been changed. View the changes.

×
C. Three Garlands

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputMishka is decorating the Christmas tree. He has got three garlands, and all of them will be put on the tree. After that Mishka will switch these garlands on.

When a garland is switched on, it periodically changes its state — sometimes it is lit, sometimes not. Formally, if *i*-th garland is switched on during *x*-th second, then it is lit only during seconds *x*, *x* + *k*_{i}, *x* + 2*k*_{i}, *x* + 3*k*_{i} and so on.

Mishka wants to switch on the garlands in such a way that during each second after switching the garlands on there would be at least one lit garland. Formally, Mishka wants to choose three integers *x*_{1}, *x*_{2} and *x*_{3} (not necessarily distinct) so that he will switch on the first garland during *x*_{1}-th second, the second one — during *x*_{2}-th second, and the third one — during *x*_{3}-th second, respectively, and during each second starting from *max*(*x*_{1}, *x*_{2}, *x*_{3}) at least one garland will be lit.

Help Mishka by telling him if it is possible to do this!

Input

The first line contains three integers *k*_{1}, *k*_{2} and *k*_{3} (1 ≤ *k*_{i} ≤ 1500) — time intervals of the garlands.

Output

If Mishka can choose moments of time to switch on the garlands in such a way that each second after switching the garlands on at least one garland will be lit, print YES.

Otherwise, print NO.

Examples

Input

2 2 3

Output

YES

Input

4 2 3

Output

NO

Note

In the first example Mishka can choose *x*_{1} = 1, *x*_{2} = 2, *x*_{3} = 1. The first garland will be lit during seconds 1, 3, 5, 7, ..., the second — 2, 4, 6, 8, ..., which already cover all the seconds after the 2-nd one. It doesn't even matter what *x*_{3} is chosen. Our choice will lead third to be lit during seconds 1, 4, 7, 10, ..., though.

In the second example there is no way to choose such moments of time, there always be some seconds when no garland is lit.

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jan/21/2021 11:17:27 (g1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|