CF911C.Three Garlands

普及/提高-

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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 ii -th garland is switched on during xx -th second, then it is lit only during seconds xx , x+kix+k_{i} , x+2kix+2k_{i} , x+3kix+3k_{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 x1x_{1} , x2x_{2} and x3x_{3} (not necessarily distinct) so that he will switch on the first garland during x1x_{1} -th second, the second one — during x2x_{2} -th second, and the third one — during x3x_{3} -th second, respectively, and during each second starting from max(x1,x2,x3)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!

输入格式

The first line contains three integers k1k_{1} , k2k_{2} and k3k_{3} ( 1<=ki<=15001<=k_{i}<=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=1x_{1}=1 , x2=2x_{2}=2 , x3=1x_{3}=1 . The first garland will be lit during seconds 1,3,5,7,...1,3,5,7,... , the second — 2,4,6,8,...2,4,6,8,... , which already cover all the seconds after the 22 -nd one. It doesn't even matter what x3x_{3} is chosen. Our choice will lead third to be lit during seconds 1,4,7,10,...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.

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