CF630L.Cracking the Code

普及/提高-

通过率:0%

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题目描述

The protection of a popular program developed by one of IT City companies is organized the following way. After installation it outputs a random five digit number which should be sent in SMS to a particular phone number. In response an SMS activation code arrives.

A young hacker Vasya disassembled the program and found the algorithm that transforms the shown number into the activation code. Note: it is clear that Vasya is a law-abiding hacker, and made it for a noble purpose — to show the developer the imperfection of their protection.

The found algorithm looks the following way. At first the digits of the number are shuffled in the following order . For example the shuffle of 1234512345 should lead to 1354213542 . On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 1234512345 is 455 422 043 125 550 171 232455 422 043 125 550 171 232 . The answer is the 55 last digits of this result. For the number 1234512345 the answer should be 7123271232 .

Vasya is going to write a keygen program implementing this algorithm. Can you do the same?

输入格式

The only line of the input contains a positive integer five digit number for which the activation code should be found.

输出格式

Output exactly 55 digits without spaces between them — the found activation code of the program.

输入输出样例

  • 输入#1

    12345
    

    输出#1

    71232
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