CF550C.Divisibility by Eight

普及/提高-

通过率:0%

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题目描述

You are given a non-negative integer nn , its decimal representation consists of at most 100100 digits and doesn't contain leading zeroes.

Your task is to determine if it is possible in this case to remove some of the digits (possibly not remove any digit at all) so that the result contains at least one digit, forms a non-negative integer, doesn't have leading zeroes and is divisible by 8. After the removing, it is forbidden to rearrange the digits.

If a solution exists, you should print it.

输入格式

The single line of the input contains a non-negative integer nn . The representation of number nn doesn't contain any leading zeroes and its length doesn't exceed 100100 digits.

输出格式

Print "NO" (without quotes), if there is no such way to remove some digits from number nn .

Otherwise, print "YES" in the first line and the resulting number after removing digits from number nn in the second line. The printed number must be divisible by 88 .

If there are multiple possible answers, you may print any of them.

输入输出样例

  • 输入#1

    3454
    

    输出#1

    YES
    344
    
  • 输入#2

    10
    

    输出#2

    YES
    0
    
  • 输入#3

    111111
    

    输出#3

    NO
    
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