Problem Background

This problem is an additional challenge for interested students.

Try to complete the problem within 40 minutes. This refers to the time spent "writing code"; the time spent "reading the problem" is not included.

Problem Description

Given a system of linear equations with two variables, solve for $x$ and $y$.

The equations are provided in the form ax+by=c, where $a, b, c$ are integers that may be negative. The solutions for $x$ and $y$ are guaranteed to be integers.

Here is an example. For the system of equations:

-2x+3y=4
x-y=-1

You should solve for $x=1, y=2$.

Input Format

Two lines, each representing an equation.

Each equation may be in one of the following forms:

• ax+by=c
• ax-by=c
• -ax+by=c
• -ax-by=c

Here, c may be positive, negative, or zero. Terms like x or -x may appear.

Output Format

Two lines, each containing an integer, representing $x$ and $y$ respectively.

Sample Input and Output

Sample Input #1

-2x+3y=4
x-y=-1

Sample Output #1

1
2

Sample Input #2

3x-5y=-21
-5x+20y=70

Sample Output #2

-2
3

Sample Input #3

6x+7y=30
-x-y=-5

Sample Output #3

5
0

Notes

Data Range and Constraints

For $100\%$ of the data, the absolute values of the coefficients do not exceed $100$, and the absolute values of $x$ and $y$ do not exceed $100$. The system is guaranteed to have a unique solution.

Hint

The more complex the classification discussion, the higher the likelihood of bugs in the program.

见题面 Input 部分

见题面 Output 部分