Problem2070--Cracking the Code

2070: Cracking the Code

Time Limit: 2 Sec  Memory Limit: 256 MB
Submit: 0  Solved: 0
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Description

time limit per test
0.5 seconds
memory limit per test
64 megabytes
input
standard input
output
standard output

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 <first digit><third digit><fifth digit><fourth digit><second digit>. For example the shuffle of 12345 should lead to 13542. On the second stage the number is raised to the fifth power. The result of the shuffle and exponentiation of the number 12345 is 455422043125550171232. The answer is the 5 last digits of this result. For the number 12345 the answer should be 71232.

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

Input

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

Output

Output exactly 5 digits without spaces between them − the found activation code of the program.

Examples
Input
12345
Output
71232

Source/Category