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System of Linear Equations
Time Limit: 2000MSMemory Limit: 131072K
Total Submissions: 583Accepted: 84Special Judge

Description

Solve the system of linear equations

subject to

xi ≥ 0, ∀i = 1, 2, …, n.

Input

The input in is the following format with 1 ≤ m, n ≤ 100.

mn
a11a12a1nb1
a21a22a2nb2
am1am2amnbm

All numbers except m and n are real numbers.

Output

If any solutions exist, output one of them in the following format.

x1
x2
xn

Otherwise declare that the system is inconsistent by printing “impossible”. An special checker program that admits an absolute error of 10−10 is used to verify your results.

Sample Input

2 3
1 1 0 36
-1 1 -1 4

Sample Output

16
20
0

Source

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