CF1143B.Nirvana

普及/提高-

通过率:0%

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题目描述

Kurt reaches nirvana when he finds the product of all the digits of some positive integer. Greater value of the product makes the nirvana deeper.

Help Kurt find the maximum possible product of digits among all integers from 11 to nn .

输入格式

The only input line contains the integer nn ( 1n21091 \le n \le 2\cdot10^9 ).

输出格式

Print the maximum product of digits among all integers from 11 to nn .

输入输出样例

  • 输入#1

    390
    

    输出#1

    216
    
  • 输入#2

    7
    

    输出#2

    7
    
  • 输入#3

    1000000000
    

    输出#3

    387420489
    

说明/提示

In the first example the maximum product is achieved for 389389 (the product of digits is 389=2163\cdot8\cdot9=216 ).

In the second example the maximum product is achieved for 77 (the product of digits is 77 ).

In the third example the maximum product is achieved for 999999999999999999 (the product of digits is 99=3874204899^9=387420489 ).

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