DCEPC505 - Bazinga!

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Sheldon is very proud of his intelligence. To test his intelligence Howard designs a puzzle and asks him to solve it. The puzzle consists of special numbers which can be obtained by multiplying exactly two distinct prime numbers. Sheldon has to tell Howard what is the Kth element of this series. Help him.

For Example 6, 10, 14, 15 are theĀ first few membersĀ of this series whereas 4, 9 and 12 are not.

Input

First line specifies T, the number of test cases.

Next T lines each gives 1 number, K

Output

Output 1 line for each test case giving the Kth element of this series.

Constraints

1 <= T <= 1000

1 <= K <= 2000000

Example

Input:
4
2
3
5
7

Output:
10
14
21
26

hide comments
anurag garg: 2014-01-06 20:56:51

took 3 hours to determine the bounds and 1 hour to remove Sigsegv error...finally AC

Sir_Ostara: 2014-01-05 08:01:47

NZEC in Java for Test Case 5..pls hlp :(

napster: 2013-02-22 09:58:54

getting runtime error after running 5 test cases .......my submission id:8761900

S__L: 2013-01-20 08:34:32

Check for the bounds ! ;)

Avinash Thummala: 2013-01-05 23:12:07

Nice prob!

Rishi Mukherje: 2012-06-21 12:09:37

please open for all languages. why not python.

data: 2012-06-20 06:23:42

@sandeep use return 0

sandeep pandey: 2012-05-29 21:29:24

Why NZEC in Java while C++ is passing
Could anyone tell me..?

Francky: 2012-05-13 20:40:18

Please open to all languages. Why those restrictions ? I would like to submit in Python.

Ehor Nechiporenko: 2012-05-07 14:42:55

10527449


Added by:dce coders
Date:2012-04-18
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:ASM32-GCC MAWK BC C-CLANG C C++ 4.3.2 CPP CPP14 CPP14-CLANG COBOL COFFEE D-CLANG D-DMD DART ELIXIR FANTOM FORTH GOSU GRV JAVA JS-MONKEY KTLN NIM NODEJS OBJC OBJC-CLANG OCT PICO PROLOG PYPY PY_NBC R RACKET RUST CHICKEN SQLITE SWIFT UNLAMBDA VB.NET
Resource:Own Problem