LASTDIG - The last digit

Nestor was doing the work of his math class about three days but he is tired of make operations a lot and he should deliver his task tomorrow. His math’s teacher gives him two numbers a and b. The problem consist of finding the last digit of the potency of base a and index b. Help Nestor with his problem. You are given two integer numbers: the base a (0 <= a <= 20) and the index b (0 <= b <= 2,147,483,000), a and b both are not 0. You have to find the last digit of ab.

Input

The first line of input contains an integer t, the number of test cases (t <= 30). t test cases follow. For each test case will appear a and b separated by space.

Output

For each test case output an integer per line representing the result.

Example

Input:
2
3 10
6 2

Output: 9 6

Added by:Jose Daniel Rodriguez Morales
Date:2008-12-01
Time limit:1s
Source limit:700B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: GOSU
Resource:Own

hide comments
2020-01-02 13:19:53
i tried to write cycles of numbers from 0-9, but program exceeds 700 bytes,
shitty online judge
2020-01-01 08:17:03
@ghazikhan13, because we need to get the last digit, and x %10 will give last digit of x.
2019-12-09 11:25:20
Hint: make a list of last numbers for 0-9
2019-11-22 03:55:27
Modular exponentiation is throwing a TLE and i'm doing it in python
2019-11-10 09:56:11
its just (a^b)mod 10
2019-10-06 12:18:11
use binary exponentiation
2019-10-02 15:12:33
use fast exponentiation.
2019-09-13 06:42:50
good question though..
2019-08-03 20:23:22
@ghazikhan13 to get last digit . for example do 346 %10 and your output will be 6
2019-07-19 15:23:43
Source limit exceeded ;-)
be careful with the digit 0
AC in 2 go's!
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