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
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shantanu_25:
2020-09-17 16:57:08
I think here "a and b both are not 0" means both are not 0 at the same time. |
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rudra_hari007:
2020-09-15 07:33:03
Can anyone tell why normal solution is not working? |
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jinks:
2020-09-05 16:55:26
I'm new to SPOJ, I've submitted my solution but it crossed the memory limit of 70 bytes. How did you guys manage to solve it in less than 700 bytes? |
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thepankj:
2020-08-17 09:17:46
Misleading statement 'a and b both are not 0'.
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hex1729:
2020-08-14 00:24:44
No exponentiation stuff required if you use your brains in last digit patterns of powers :)
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kishlay1105:
2020-07-26 10:25:54
calculate (a^b)mod 10 using binary exponentiation . |
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dungeon_mr123:
2020-07-25 17:50:47
i cannot what is mistake in code please help
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gokulan_cv:
2020-07-08 10:12:01
AC After 14 Times of failed submission. Python is horrible for CP. I think I should start learning c++.
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acktron:
2020-06-30 12:10:36
Solved in one go using modular exponentiation four :- (a ^ n) % 10 = ( ( (a % 10) ^ n); |
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br0ken_c0der:
2020-06-29 07:44:07
hint: Apply fast modular exponentiation using bitmasking. |
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 |