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PFACTORS - Pisano Factors |
Given an integer n.
Find how many integers c are there such that their Pisano period is a factor of n.
1 <= c <= 10^5
There are multiple test cases.
Input
The first line contains number of test cases, 1 <= t <= 100
Next t lines contain an integer n each. 1 <= n <= 10^9
Output
Output the answer to each test case on a separate line.
Example
Input: 3
6
9
10
Output: 3
2
2
Added by: | sarfaraz |
Date: | 2016-01-22 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 GOSU JS-MONKEY |
hide comments
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2021-07-08 19:25:36
Easy , If you solved https://www.spoj.com/problems/PISANO/ |
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2021-07-08 19:24:19
@[Lakshman] 2 56 256890000 output : 14 2382 |
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2020-06-14 18:48:25 [Lakshman]
Thank you @Suhash. |
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2020-06-14 18:44:52 suhash
@Lakshman: I just meant that the range of c is [1, 10^5], but range of Pisano(c) is not (and can be > 10^5). Your understanding of the problem seems correct. Hope that helps! Last edit: 2020-06-14 18:50:47 |
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2020-06-14 18:32:49 [Lakshman]
@Suhash. Now I doubt if I understood the problem correctly. what do you mean when you say "for instance the pisano period need not be in the range [1, c]" . Pisano(1) = 1 is factor is of all numbers. |
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2020-06-14 08:57:43 suhash
@Lakshman: Did you try to verify your solution with a brute force checker. Perhaps you're missing some corner cases (for instance the pisano period need not be in the range [1, c]). |
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2020-06-09 18:12:23 [Lakshman]
@All Can someone give me few test cases. 2 56 256890000 what is the output Last edit: 2020-06-09 18:12:43 |
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2020-06-09 13:35:22 [Lakshman]
@sarfaraz Can you please tell me why I am getting WA, I think my approach is correct. Thanks |
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2020-06-06 23:22:10 David
Java should have more time. No java solutions. Compute pisano period of n = 1 to 10^5 in 420 ms; answer 100 test case in 20 ms. |
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2016-01-31 08:19:49 [Rampage] Blue.Mary
pisano(3) = 8 (verified.) Last edit: 2020-06-10 12:06:50 |