CF858A.k-rounding

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题目描述

For a given positive integer nn denote its kk -rounding as the minimum positive integer xx , such that xx ends with kk or more zeros in base 1010 and is divisible by nn .

For example, 44 -rounding of 375375 is 37580=30000375·80=30000 . 3000030000 is the minimum integer such that it ends with 44 or more zeros and is divisible by 375375 .

Write a program that will perform the kk -rounding of nn .

输入格式

The only line contains two integers nn and kk ( 1<=n<=1091<=n<=10^{9} , 0<=k<=80<=k<=8 ).

输出格式

Print the kk -rounding of nn .

输入输出样例

  • 输入#1

    375 4
    

    输出#1

    30000
    
  • 输入#2

    10000 1
    

    输出#2

    10000
    
  • 输入#3

    38101 0
    

    输出#3

    38101
    
  • 输入#4

    123456789 8
    

    输出#4

    12345678900000000
    
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