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
|
arphox:
2019-07-07 17:07:55
Hint: This can be done in O(1) time, just look for patterns in last digits, they will repeat somehow, somewhere :-) |
|
imambungo:
2019-07-04 17:19:34
thanks sahruz_riyad |
|
vurise18:
2019-06-27 11:09:29
what data type do we need to store b ? |
|
ankyy_0103:
2019-06-22 13:40:05
My java Solution is not fitting in source code size . <(^_^)> |
|
nagrahari:
2019-06-19 10:52:12
nice question |
|
selfcoder24:
2019-06-12 09:31:04
use modular exponentiation with mod being 10 to fetch last digit. |
|
kocko:
2019-06-09 18:53:09
Quite stupid requirement for the source code size.... |
|
motormouthdoda:
2019-05-28 23:12:42
Don't use binary exponentiation. The solution is O(1) |
|
mubasshir00:
2019-05-21 20:39:42
use Binary Exponentiation. |
|
sahruz_riyad:
2019-05-20 14:12:36
a and b both are not zero. But separatedly can be zero.. be careful about that Last edit: 2019-05-20 14:13:04 |
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 |