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EQUASOLV - Solving linear equations

Solve a system of N (1<N<7) linear equations of the form a1*x1+a2*x2+...+aN*xN=c. aand c are real numbers. A unique solution is assured.

Input

First line with number N, then N lines with a1, a2,...aN, c separated by space.

Output

The results for x1, x2,...xN one in each line. The floats should have a precision of 5 digits after the decimal-point.

Example

Input:
2
1 2 3
2 3 4

Output:
-1.00000
2.00000

Added by:HWK
Date:2011-02-28
Time limit:3.636s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: SCM qobi

hide comments
2011-10-03 12:29:25 Jander
138 now :-) I'll let you off my hint allegation then if the Ruby one is different ;-)

It certainly motivated me. Dropping 40 bytes since last night is quite an improvement.
2011-10-03 12:27:06 HWK
I didn't take hints from your solution. The Ruby one is completely different to your one.
But seems you need more motivation: 139 bytes - incredible.
2011-10-03 11:36:53 Jander
Oi! Stop taking hints from my Perl to improve your Ruby ;-)
2011-10-03 07:17:42 HWK
@Jander: Awesome job! Congratulations!
2011-10-02 21:09:48 Jander
@HWK: Thanks - I took a gamble anyway that they were !=0.

I'm sure I can squeeze it some more, but that can wait until tomorrow :-)
2011-10-02 16:09:50 HWK
@Jander: Xi are real numbers with |Xi|<10 and all !=0.

Last edit: 2011-10-02 16:16:25
2011-09-30 18:05:11 Jander
What's the range for Xn ? Also are all Ai qualified, ie no Xn=0 ?

Last edit: 2011-09-30 18:26:11
2011-03-21 11:52:43 HWK
No, my Python-solution takes 283 bytes. :-(
I wrote it with Ruby. Probably a Ruby-expert could still save a lot of bytes.
2011-03-20 23:02:15 Hallvard Norheim Bø
HWK: 190 bytes in which language? Python? :-)
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