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

hide comments
venkat016: 2018-01-10 22:31:21

Modular exponenention _/\_ thanks for @ajayc1007 and @prasad_235

vaibhavcs99: 2017-12-31 08:16:40

AC after two TLE (I was using pow function).Modular exponention does the work.No need to consider when one of them is 0 cases.

jaykay12: 2017-12-30 20:57:42

Check
10^2=0
10^0=1
0^10=0

Last edit: 2017-12-30 21:02:13
mayank1208_: 2017-12-30 10:54:11

solved after 5 WA.but got AC in d end....

sgarg367: 2017-12-03 19:07:48


Last edit: 2017-12-03 19:40:13
justinegeo96: 2017-11-25 13:50:18

should i check for negative values for a and b? Why am I getting WA :/ I am getting correct output using fast modular exponentiation.

captaindavinci: 2017-11-18 12:57:07

In this problem you could solve it by calculating (a ^ b) % 10, using fast modular exponentiation. Time complexity would be O(logb)

sinersnvrsleep: 2017-11-06 20:24:59

there occurs a pattern in the power of digits one needs to find that and its done

sandilya1599: 2017-09-27 08:12:53

python is love

mahilewets: 2017-08-28 20:16:47

Very funny

LSTDGT which is much bigger a and much bigger b

Is just tutorial now

But this problem is classic


Added by:Jose Daniel Rodriguez Morales
Date:2008-12-01
Time limit:0.340s
Source limit:700B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: GOSU
Resource:Own