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 a^{b}.
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
hide comments
thiyagumessi:
20191209 11:25:20
Hint: make a list of last numbers for 09 

janakiram_18:
20191122 03:55:27
Modular exponentiation is throwing a TLE and i'm doing it in python


apshada:
20191110 09:56:11
its just (a^b)mod 10 

purplecs:
20191006 12:18:11
use binary exponentiation 

pyskmr:
20191002 15:12:33
use fast exponentiation. 

jitto777:
20190913 06:42:50
good question though.. 

itsmysyntax:
20190803 20:23:22
@ghazikhan13 to get last digit . for example do 346 %10 and your output will be 6 

rikilg:
20190719 15:23:43
Source limit exceeded ;)


ghazikhan13:
20190717 13:17:46
hey guys, can anyone tell me why everyone did modules division by 10 only, why not any other number ??


scolar_fuad:
20190709 05:46:21
Just think like Big_Mod algorithm i or find pattern you will get answer

Added by:  Jose Daniel Rodriguez Morales 
Date:  20081201 
Time limit:  0.340s 
Source limit:  700B 
Memory limit:  1536MB 
Cluster:  Cube (Intel G860) 
Languages:  All except: GOSU 
Resource:  Own 