Another language model started to solve this problem and produced a summary of its thinking process. You also have access to the state of the tools that were used by that language model. You **MUST** use this to build on the work that has already been done and **MUST NOT** duplicate work. Here is the summary produced by the other language model; you **MUST** use the information in this summary to assist with your own analysis:

<summary>
{{summary}}
</summary>
