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DIVFACT - Divisors of factorial |
Given a number, find the total number of divisors of the factorial of the number.
Since the answer can be very large, print answer modulo 109+7.
Input
The first line contains T, number of testcases.
T lines follows each containing the number N.
Output
Print T lines of output each containing the answer.
Example
Input: 3 2 3 4 Output: 2 4 8
Constraints
1 <= T <= 500
0 <= N <= 50000
Added by: | ivar.raknahs |
Date: | 2015-01-17 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ASM64 JS-MONKEY |
Resource: | Own |
hide comments
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2021-08-29 13:25:32
getting time limit exceeded in python language . where should i post the code? |
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2021-06-24 20:57:20
without break statements ->TLE with break statements -> accepted |
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2021-02-24 23:29:51
wrong answer is showing. can anyone give me some test case please? Last edit: 2021-02-24 23:30:18 |
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2019-11-17 18:23:44
used Legendre's Formula |
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2019-04-08 20:35:05
Given constraints are incorrect, the code didn't give TLE when I replaced Upper limit from 50000 to 100005 |
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2019-02-27 09:53:44
hi guys.i am submitting the code for many testcases it is passing .but it is showing time limit exceeded and can anyone of them give some test cases |
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2018-10-10 11:34:01
50th : ) |
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2018-06-12 18:27:04
good question! take care of 0! and inverse modulo used fast factorisation,formula for no of distinct divisors,inverse modulo and little bit of math |
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2018-01-02 13:31:27
Used Legendre's Formulation |
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2017-06-15 19:37:24
same here @pranjalikumar9 :(( |