Calculate S(n)

Time Limit: 10000/1000 MS (Java/Others)

Memory Limit: 32768/32768 K (Java/Others)

Description

Calculate S(n).

S(n)=13+23 +33 +......+n3 .

Input

Each line will contain one integer N(1 < n < 1000000000). Process to end of file.

Output

For each case, output the last four dights of S(N) in one line.

Sample Input

1 2

Sample Output

0001 0009

Hint

威士忌

Source

HDU 2007-10 Programming Contest_WarmUp

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