deepseek V3.1官方文档的这道题，问了几个模型都回答-1，答案应该是-1/2。要结合搜索和代码执行。 
链接：assets/search_python_tool_trajectory.html · deepseek-ai/DeepSeek-V3.1 at main 

题目

We are designing a simple liquid-mirror telescope, as originally proposed by Isaac Newton. To do this, we first fill up a cylindrical tank (made of Kevlar) with a low melting point alloy of incompressible, inviscid gallium, and start rotating it about a ve...