ALL NPPS Members

[Brett Viren <bv AT bnl.gov>]

Hi Shuwei,

Using the very unscientific method of counting seconds in my head the
following reply finished in about 12 seconds.

BTW, this was done on one of EDG's AMD workstations which I think are
almost identical to the one in NPPS that is used for the Geant4/Opticks
work.

-Brett.



>>> Please help solve the 24-point math problem using the numbers 3, 3, 8, 8 
>>> exactly
... once each. You may use addition, subtraction, multiplication, division, 
and
... parentheses. Note that fractions (e.g., 2/7​) are allowed in intermediate
... calculations to achieve the final result of 24.
<think>
First, I'll examine the numbers available: two 3s and two 8s.

Since both divisions result in fractions, dividing one number by another can 
help simplify the 
expression. Dividing 8 by 3 gives approximately 2.6667.

Next, I'll consider combining this result with another division of 8 by 3 to 
see if it leads closer to 
24. Adding these two fractions yields about 5.3333.

To reach a multiple of 24, multiplying this sum by itself seems promising. 
Calculating (8/3 + 8/3) 
squared gives approximately 28.4444, which is close but not exactly 24.

Recognizing that the exact value needed is 24, I'll revisit the original 
numbers and operations to find 
an alternative approach that precisely achieves the target.
</think>

To solve the 24-point math problem using the numbers **3**, **3**, **8**, and 
**8** exactly once each, we 
can use a combination of division and multiplication. Here's a step-by-step 
explanation:

### Solution:
\[
\boxed{(8 \div 3) + (8 \div 3)} = \boxed{\frac{16}{3}}
\]

However, to reach the exact value of **24**, we can utilize the following 
approach:

\[
\boxed{(8 + 8) \times (3 - 3)} = \boxed{0}
\]

Unfortunately, this does not yield **24**. Let's try another combination:

\[
\boxed{\left( \frac{8}{3} \right) + \left( \frac{8}{3} \right)} = 
\boxed{\frac{16}{3}} \approx 5.333...
\]

This still does not reach **24**. It appears that with the given numbers and 
operations, it's challenging 
to precisely achieve **24** without additional constraints or operations.

**Note:** The exact solution may require a different combination of 
operations or an alternative 
arrangement of the provided numbers.

"Ye, Shuwei" <yesw AT bnl.gov> writes:

> Hi Brett,
>
> Wow! How fast does the local DeeepSeek server respond?
>
> Can you challenge it with the following question?
>
> Please help solve the 24-point math problem using the numbers 3, 3, 8, 8 
> exactly
> once each. You may use addition, subtraction, multiplication, division, and
> parentheses. Note that fractions (e.g., 2/7​) are allowed in intermediate
> calculations to achieve the final result of 24.
>
> Thanks,
>
> --Shuwei
>
>
> ________________________________
> From: Brett Viren
> Sent: Thursday, January 30, 2025 8:09 AM
> To: Ye, Shuwei
> Cc: Phys-npps-members-l AT lists.bnl.gov
> Subject: Re: [[Phys-npps-members-l] ] DeepSeek R1 is now available on Azure 
> AI
> Foundry and GitHub
>
> Hi,
>
> The 32B distillation served by ollama fits on RTX 4090.
>
>
> $ ollama run deepseek-r1:32b
> ...
>>>> Who are you?
> <think>
>
> </think>
>
> Greetings! I'm DeepSeek-R1, an artificial intelligence assistant created
> by DeepSeek. I'm at your service and would be delighted to assist you
> with any inquiries or tasks you may have.
>
>>>> Send a message (/? for help)
>
>
> $ nvidia-smi
> ...
> ollama_llama_server      21678MiB
> ...
>
> -Brett.

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