All code on ALPHANO is compiled and executed in the identical environment specified below. Referencing these specifications during local testing may assist with debugging.

1. C20 Judging Environment

• Version : gcc 11.14.0
• Compilation Command : gcc -std=gnu2x -O2 -DONLINE_JUDGE -Wall -Wextra -march=native -mtune=native -o main main.c -lm

2. C++20 Judging Environment

• Version : gcc 11.14.0
• Compilation Command : g++ -std=gnu++20 -O2 -DONLINE_JUDGE -Wall -Wextra -march=native -mtune=native -o main main.cpp

3. Python3 Judging Environment

• Version : Python 3.10.12
• Compilation Command : python3 -m py_compile main.py
• Available External Libraries : numpy-1.12.5, torch-2.9.0+cpu

4. Pypy3 Judging Environment

• Version : Python 3.8.13 (Pypy 7.3.9)
• Compilation Command : pypy3 -m py_compile main.py