Simultaneous Equation

Write a program which solve a simultaneous equation:

ax + by = c dx + ey = f

The program should print x and y for given a, b, c, d, e and f (-1,000 ≤ a, b, c, d, e, f ≤ 1,000). You can suppose that given equation has a unique solution.

Input

The input consists of several data sets, 1 line for each data set. In a data set, there will be a, b, c, d, e, f separated by a single space. The input terminates with EOF.

Output

For each data set, print x and y separated by a single space. Print the solution to three places of decimals. Round off the solution to three decimal places.

Examples

Input

1 2 3 4 5 6 2 -1 -2 -1 -1 -5

Output

-1.000 2.000 1.000 4.000

Input

2 -1 -3 1 -1 -3 2 -1 -3 -9 9 27

Output

0.000 3.000 0.000 3.000

inputFormat

Input

The input consists of several data sets, 1 line for each data set. In a data set, there will be a, b, c, d, e, f separated by a single space. The input terminates with EOF.

outputFormat

Output

For each data set, print x and y separated by a single space. Print the solution to three places of decimals. Round off the solution to three decimal places.

Examples

Input

1 2 3 4 5 6 2 -1 -2 -1 -1 -5

Output

-1.000 2.000 1.000 4.000

Input

2 -1 -3 1 -1 -3 2 -1 -3 -9 9 27

Output

0.000 3.000 0.000 3.000

样例

1 2 3 4 5 6
2 -1 -2 -1 -1 -5

-1.000 2.000
1.000 4.000

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