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2267 - MiaoWu's Function

通过次数

0

提交次数

0

Time Limit : 1 秒 Memory Limit : 128 MB

Given n,k and the function f(n,k) = 1^k + 2^k + ... + n^k , you're supposed to calculate it.

Input

Multiple test cases.

Each line contains two numbers n,k(1<=n,k<=10^9)

Output

Output the last digit of the function f(n,k)

Examples

Input Format

1 1
8 4
2 5
3 2
5 2
8 3
2 4

Output Format

1
2
3
4
5
6
7