CF95B.Lucky Numbers

普及/提高-

通过率:0%

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题目描述

Petya loves lucky numbers. Everybody knows that positive integers are lucky if their decimal representation doesn't contain digits other than 44 and 77 . For example, numbers 4747 , 744744 , 44 are lucky and 55 , 1717 , 467467 are not.

Lucky number is super lucky if it's decimal representation contains equal amount of digits 44 and 77 . For example, numbers 4747 , 77447744 , 474477474477 are super lucky and 44 , 744744 , 467467 are not.

One day Petya came across a positive integer nn . Help him to find the least super lucky number which is not less than nn .

输入格式

The only line contains a positive integer nn ( 1<=n<=101000001<=n<=10^{100000} ). This number doesn't have leading zeroes.

输出格式

Output the least super lucky number that is more than or equal to nn .

输入输出样例

  • 输入#1

    4500
    

    输出#1

    4747
    
  • 输入#2

    47
    

    输出#2

    47
    
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