CF911C.Three Garlands
普及/提高-
通过率:0%
AC君温馨提醒
该题目为【codeforces】题库的题目,您提交的代码将被提交至codeforces进行远程评测,并由ACGO抓取测评结果后进行展示。由于远程测评的测评机由其他平台提供,我们无法保证该服务的稳定性,若提交后无反应,请等待一段时间后再进行重试。
题目描述
Mishka 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+ki , x+2ki , x+3ki 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 x1 , x2 and x3 (not necessarily distinct) so that he will switch on the first garland during x1 -th second, the second one — during x2 -th second, and the third one — during x3 -th second, respectively, and during each second starting from max(x1,x2,x3) at least one garland will be lit.
Help Mishka by telling him if it is possible to do this!
输入格式
The first line contains three integers k1 , k2 and k3 ( 1<=ki<=1500 ) — time intervals of the garlands.
输出格式
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.
输入输出样例
输入#1
2 2 3
输出#1
YES
输入#2
4 2 3
输出#2
NO
说明/提示
In the first example Mishka can choose x1=1 , x2=2 , x3=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 x3 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.