Add a basic implementation of ToT

[stellaHSR]

Features

[CH]

• 增加基础ToT实现，支持BFS & DFS
• 实现BFSSolver & DFSSolver (建议在provider/openai_api.py下timeout默认设置30）
• 提供Parser/Evaluator方式解析不同任务的设置
• 提供相关examples(24点/创意文案)

[EN]

• Add a basic implementation of ToT that supports both BFS & DFS:
• Implement the BFSSolver and DFSSolver. It is suggested that you set the default timeout to 30 in the provider/openai_api.py file
• Provide a Parser/Evaluator class to interpret configurations for different tasks.
• Include relevant examples (Game24 /Creative Writing).

Feature Docs

https://deepwisdom.feishu.cn/wiki/LkXYw3h06iK3zTkZwchc4szcn1u

Influence

Result

-Game24，Input: 4 5 6 10

Updated Tree:
4 5 6 10, value: 0, valid_status: True
├── 4 + 5 = 9 (left: 6 9 10), value: 1, valid_status: True
│   ├── 6 + 9 = 15 (left: 10 15), value: 1.001, valid_status: False
│   └── 9 - 6 = 3 (left: 3 10), value: 1.001, valid_status: False
├── 5 - 4 = 1 (left: 1 6 10), value: 1, valid_status: True
└── 10 - 4 = 6 (left: 5 6 6), value: 1, valid_status: True
    └── 5 * 6 = 30 (left: 6 30), value: 21, valid_status: True
        ├── 6 + 30 = 36 (left: 36), value: 21.001, valid_status: False
        ├── 30 - 6 = 24 (left: 24), value: 41, valid_status: True
        └── 30 / 6 = 5 (left: 5), value: 21.001, valid_status: False
best solution is: ['4 5 6 10', '10 - 4 = 6 (left: 5 6 6)', '5 * 6 = 30 (left: 6 30)', '30 - 6 = 24 (left: 24)']

Other

[CH]

• 考虑多种树节点和图节点的合并

[EN]

• Use the graph data structure.

[geekan]

Fill in the test cases in the future