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a to the power b form

How to check if a number n is of the form a^b.

problem link https://www.codechef.com/problems/APOWB

asked 06 Dec, 15:25

pandey_96's gravatar image

2★pandey_96
666
accept rate: 0%


Simple idea is to precompute a set containing all powers >= 2nd power of all numbers from 2 to 1e5. This will solve problem for input values upto 1e10 because minimum value of b is 2.

Now, for values of a > 1e5, we realize that 4th power of a will always be > 1e16, but in input, all N <= 1e16.

So, we will alsot take square root and cube root, and check if sqrtsqrt == N || cbrtcbrt*cbrt == N || set.contains(N)..

If any of above is true, answer is true.

Hope u find this helpful..

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answered 06 Dec, 15:53

taran_1407's gravatar image

5★taran_1407
2.2k622
accept rate: 22%

edited 06 Dec, 15:53

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question asked: 06 Dec, 15:25

question was seen: 76 times

last updated: 06 Dec, 15:53