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mv popular and additional chains to use cases (#8242)

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107
docs/snippets/modules/chains/additional/multi_prompt_router.mdx
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```python
from langchain.chains.router import MultiPromptChain
from langchain.llms import OpenAI
```
```python
physics_template = """You are a very smart physics professor. \
You are great at answering questions about physics in a concise and easy to understand manner. \
When you don't know the answer to a question you admit that you don't know.
Here is a question:
{input}"""
math_template = """You are a very good mathematician. You are great at answering math questions. \
You are so good because you are able to break down hard problems into their component parts, \
answer the component parts, and then put them together to answer the broader question.
Here is a question:
{input}"""
```
```python
prompt_infos = [
{
"name": "physics",
"description": "Good for answering questions about physics",
"prompt_template": physics_template
},
{
"name": "math",
"description": "Good for answering math questions",
"prompt_template": math_template
}
]
```
```python
chain = MultiPromptChain.from_prompts(OpenAI(), prompt_infos, verbose=True)
```
```python
print(chain.run("What is black body radiation?"))
```
<CodeOutputBlock lang="python">
```
> Entering new MultiPromptChain chain...
physics: {'input': 'What is black body radiation?'}
> Finished chain.
Black body radiation is the emission of electromagnetic radiation from a body due to its temperature. It is a type of thermal radiation that is emitted from the surface of all objects that are at a temperature above absolute zero. It is a spectrum of radiation that is influenced by the temperature of the body and is independent of the composition of the emitting material.
```
</CodeOutputBlock>
```python
print(chain.run("What is the first prime number greater than 40 such that one plus the prime number is divisible by 3"))
```
<CodeOutputBlock lang="python">
```
> Entering new MultiPromptChain chain...
math: {'input': 'What is the first prime number greater than 40 such that one plus the prime number is divisible by 3'}
> Finished chain.
?
The first prime number greater than 40 such that one plus the prime number is divisible by 3 is 43. To solve this problem, we can break down the question into two parts: finding the first prime number greater than 40, and then finding a number that is divisible by 3.
The first step is to find the first prime number greater than 40. A prime number is a number that is only divisible by 1 and itself. The next prime number after 40 is 41.
The second step is to find a number that is divisible by 3. To do this, we can add 1 to 41, which gives us 42. Now, we can check if 42 is divisible by 3. 42 divided by 3 is 14, so 42 is divisible by 3.
Therefore, the answer to the question is 43.
```
</CodeOutputBlock>
```python
print(chain.run("What is the name of the type of cloud that rins"))
```
<CodeOutputBlock lang="python">
```
> Entering new MultiPromptChain chain...
None: {'input': 'What is the name of the type of cloud that rains?'}
> Finished chain.
The type of cloud that typically produces rain is called a cumulonimbus cloud. This type of cloud is characterized by its large vertical extent and can produce thunderstorms and heavy precipitation. Is there anything else you'd like to know?
```
</CodeOutputBlock>