[router] Replace print with logger

[ByronHsu]

Motivation

Modifications

Looks something like this

[Router (Python)] 2024-11-25 21:28:33 - INFO - Launching DP server process 0 on port 31000
[Router (Python)] 2024-11-25 21:28:33 - INFO - Launching DP server process 1 on port 31814
[Router (Rust)] 2024-11-25 21:29:40 - INFO - Tenant: http://127.0.0.1:31814, Size: 0
[Router (Rust)] 2024-11-25 21:29:40 - INFO - Tenant: http://127.0.0.1:31000, Size: 0
[Router (Rust)] 2024-11-25 21:29:40 - INFO - Processed Queue: {"http://127.0.0.1:31000": 0, "http://127.0.0.1:31814": 0}
[Router (Rust)] 2024-11-25 21:29:40 - INFO - Running Queue: {"http://127.0.0.1:31814": 0, "http://127.0.0.1:31000": 0}
[Router (Rust)] 2024-11-25 21:29:55 - INFO - Before eviction - Used size per tenant:
[Router (Rust)] 2024-11-25 21:29:55 - INFO - Tenant: http://127.0.0.1:31814, Size: 0

Checklist

• [ ] Format your code according to the Contributor Guide.
• [ ] Add unit tests as outlined in the Contributor Guide.
• [ ] Update documentation as needed, including docstrings or example tutorials.