CF886A.ACM ICPC

普及/提高-

通过率:0%

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题目描述

In a small but very proud high school it was decided to win ACM ICPC. This goal requires to compose as many teams of three as possible, but since there were only 66 students who wished to participate, the decision was to build exactly two teams.

After practice competition, participant number ii got a score of aia_{i} . Team score is defined as sum of scores of its participants. High school management is interested if it's possible to build two teams with equal scores. Your task is to answer that question.

输入格式

The single line contains six integers a1,...,a6a_{1},...,a_{6} ( 0<=ai<=10000<=a_{i}<=1000 ) — scores of the participants

输出格式

Print "YES" (quotes for clarity), if it is possible to build teams with equal score, and "NO" otherwise.

You can print each character either upper- or lowercase ("YeS" and "yes" are valid when the answer is "YES").

输入输出样例

  • 输入#1

    1 3 2 1 2 1
    

    输出#1

    YES
    
  • 输入#2

    1 1 1 1 1 99
    

    输出#2

    NO
    

说明/提示

In the first sample, first team can be composed of 11 st, 22 nd and 66 th participant, second — of 33 rd, 44 th and 55 th: team scores are 1+3+1=2+1+2=51+3+1=2+1+2=5 .

In the second sample, score of participant number 66 is too high: his team score will be definitely greater.

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