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Problem Description
Implement merge-sort to sort an array.
# Input
Two lines, the first line gives only one number `n`, the number of integers in the array. And the second line gives `n` numbers which are
the `n` integers in the array. All numbers are separated by space.
You can assume that 0 <= n <= 10000, and that each number in the arrarys
are in the range of [-2147483648, 2147483647].
Your code should read the input from standard input (e.g. using functions `input()/raw_input()` in Python and `cin/scanf` in C++).
# Output
One line, describing the sorted array, in ascending order.
There should be `n` integers in a line give all numbers in the sorted array (in ascending order).
All numbers should be separated with space.
(You don't need to output the size of the array `n`.)
Your code should write the output to standard output (e.g. using functions `print` in Python and `cout/printf` in C++).
# Requirement
Your algorithm should run in O(nlogn) time. You are not allowed to call any in-built sort function.
Time limtation: 5 seconds.
Memory limitation: 1.0 GB.
# Environment
Your code will be running on Ubuntu 18.04.5.
Now only accept C++ and Python2/Python3 code, g++ version 7.5.0 and Python versions are Python 2.7.17 and Python 3.6.9.
# Examples and Testing
Some examples (e.g., input-x.txt and output-x.txt, x = 1, 2) are provided.
For Python code, try the following to test your code
```
python ./solution.py < input-x.txt my-output-x.txt
```
For C++ code, try the following to test your code
```
g++ -o mybinary solution.cpp
./mybinary < input-x.txt my-output-x.txt
```
Your output `my-output-x.txt` needs to be *match exactly* to the given `output-x.txt`.
On Unix-based systems you can use `diff` to compare them:
```
diff my-output-x.txt output-x.txt
```
On Windows you can use `fc` to compare them:
```
fc my-output-x.txt output-x.txt
```