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Chat session client using Ollama's Python API and DeepSeek-R1 1.5B model.

Reasoning prompts with context are stored in PROMPTS list in the main.py script. These were selected from some recommendations by OpenAI's ChatGPT.

Installation

Follow the steps in the top level README to create a virtual environment and install the packages.

Run chat session

Run these commands.

cd
source ./venv_ollama/bin/activate

cd deepseek_opi5plus/chat

python3 main.py

Result

Chat session details.

  • OrangePi 5 single board computer with 8GB RAM.
  • Used hardware thermal cooling (SoC heatsink and small fan) to mitigate model slowing down due to clock throttling under CPU load.
  • Some issues with model responses were seen and discussed in a later section in this README.

TODO: update these sections.

Simple mathematics

(venv_ollama) orangepi@orangepi5-desktop:~/deepseek_opi5plus/chat$ python3 main.py
Model:   deepseek-r1:1.5b

Prompt:  What is the sum of 3 + 2?
<think>
I need to calculate the sum of 3 and 2.

First, I'll add 3 and 2 together.

Finally, I'll determine that the result is 5.
</think>

Solution:

To find the sum of (3 + 2), follow these simple steps:

  1. Addition Operation: [ 3 + 2 = 5 ]

Therefore, the final answer is: [ \boxed{5} ]

Last response:
  Duration:      14.6s
  Tokens:        103
  Speed:         7.0 tokens/s

Session total:
  Duration:      14.6s
  Tokens:        103
  Average speed: 7.0 tokens/s

Simple mathematics problem with history

The prompt continues requiring history from the previous prompt.

Prompt:  What is the result if +1 is added to both numbers before summing them?
<think>

</think>

To find the result of adding 1 to each number before performing the sum, let's follow these steps:

  1. Add 1 to Each Number: [ 3 + 1 = 4 ] [ 2 + 1 = 3 ]

  2. Sum the Modified Numbers: [ 4 + 3 = 7 ]

Final Answer:

[ \boxed{7} ]

Last response:
  Duration:      16.6s
  Tokens:        109
  Speed:         6.6 tokens/s

Session total:
  Duration:      31.2s
  Tokens:        212
  Average speed: 6.8 tokens/s

The model's answer was correct. However the response failed to include reasoning on this particular run inside the <think> tags.

Mathematical reasoning

Prompt:  A car travels 60 miles in 1 hour. It then travels an additional 90 miles in 2 hours.  What is the car's average speed for the entire trip?
<think>
Okay, so I have this problem about a car's average speed during a trip. Let me try to figure it out step by step.

First, let's understand what average speed means. If something travels more distance over less time, its average speed is higher. So, in this case, the car goes farther and takes longer to do so than before. But I need to calculate the exact average speed for the entire trip.

The problem states:
- The car travels **60 miles** in **1 hour**.
- Then it travels **90 miles** in **2 hours**.

Wait a minute, that seems like the car first goes 60 miles quickly and then takes twice as long but covers more ground. So overall, I need to consider both distances and times together to find the average speed for the whole trip.

I remember that average speed is calculated by dividing the total distance traveled by the total time taken. That makes sense because you're spreading out the speeds over a longer period.

Let me write down the information:

- **First leg:**
  - Distance = 60 miles
  - Time = 1 hour

- **Second leg:**
  - Distance = 90 miles
  - Time = 2 hours

**Step 1: Calculate Total Distance**

The total distance is the sum of both legs:
\[
\text{Total Distance} = 60 \text{ miles} + 90 \text{ miles} = 150 \text{ miles}
\]

**Step 2: Calculate Total Time**

The total time is the sum of the times for each leg:
\[
\text{Total Time} = 1 \text{ hour} + 2 \text{ hours} = 3 \text{ hours}
\]

**Step 3: Calculate Average Speed**

Now, divide the total distance by the total time to find the average speed:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}} = \frac{150 \text{ miles}}{3 \text{ hours}} = 50 \text{ miles per hour (mph)}
\]

**Verification:**

Let me double-check the calculations to ensure there's no mistake.

- **First leg:** 60 miles in 1 hour means a speed of 60 mph.
- **Second leg:** 90 miles in 2 hours means a speed of 45 mph.
- Total distance = 150 miles, total time = 3 hours.
- Average speed = 150 / 3 = 50 mph.

Yes, that seems correct. The car's overall average speed for the entire trip is **50 miles per hour**.

\[
\boxed{50 \text{ miles per hour}}
\]
Last response:
  Duration:      88.9s
  Tokens:        590
  Speed:         6.6 tokens/s

Session total:
  Duration:      120.1s
  Tokens:        802
  Average speed: 6.7 tokens/s

The model's produced the expected result. However the response failed to close the <\think> tag on this particular run.

Mathematical reasoning with history

Requires knowledge of the previous prompt.

Prompt:  What if the car had traveled 30 miles in the first hour instead of 60 miles?
<think>
Okay, let me think about this problem. So, originally, the car traveled 60 miles in one hour and then an additional 90 miles in two hours. The question is asking what happens to the average speed if the car had traveled 30 miles in the first hour instead of 60 miles.

First, I need to understand what average speed means. Average speed is calculated by dividing the total distance traveled by the total time taken for the trip. So, it's essentially how fast the car was going on average over the entire journey.

Let me break down the original scenario:

- **First leg:**
  - Distance = 60 miles
  - Time = 1 hour

- **Second leg:**
  - Distance = 90 miles
  - Time = 2 hours

So, total distance = 60 + 90 = 150 miles
Total time = 1 + 2 = 3 hours

Therefore, original average speed = Total Distance / Total Time = 150 miles / 3 hours = 50 mph.

Now, the modified scenario is:

- **First leg:**
  - Distance = 30 miles
  - Time = 1 hour

- **Second leg:**
  - Distance = 90 miles
  - Time = 2 hours

Calculating total distance and time again:

Total distance = 30 + 90 = 120 miles
Total time = 1 + 2 = 3 hours

Therefore, new average speed = Total Distance / Total Time = 120 miles / 3 hours = 40 mph.

Wait a minute. That seems different from the original average speed of 50 mph. Did I make a mistake here?

Let me double-check:

Original:
- First leg: 60 miles in 1 hour
- Second leg: 90 miles in 2 hours

Total distance = 150 miles, Total time = 3 hours → Average speed = 50 mph.

Modified:
- First leg: 30 miles in 1 hour
- Second leg: 90 miles in 2 hours

Total distance = 120 miles, Total time = 3 hours → Average speed = 40 mph.

Yes, the average speed decreases from 50 mph to 40 mph. That makes sense because the car traveled less distance in the first hour, even though it took the same total time for both legs.

Let me think if there's another way to approach this problem. Maybe by calculating the speeds for each leg and then averaging them differently?

Original:
- First leg speed = 60 miles / 1 hour = 60 mph
- Second leg speed = 90 miles / 2 hours = 45 mph

If we just took the average of these two speeds: (60 + 45) / 2 = 52.5 mph.

But that doesn't match with either scenario, and also, it's not considering the total distance over total time properly.

Hmm, so the correct approach is definitely to calculate the total distance and divide by the total time for both scenarios.

Therefore, in the modified scenario:

- First leg speed = 30 miles / 1 hour = 30 mph
- Second leg speed = 90 miles / 2 hours = 45 mph

Total distance = 120 miles, Total time = 3 hours → Average speed = 40 mph.

Yes, that still holds up.
</think>

Step-by-Step Explanation:

  1. Original Scenario:

    • First leg:

      • Distance = 60 miles
      • Time = 1 hour
    • Second leg:

      • Distance = 90 miles
      • Time = 2 hours
    • Total distance = 60 + 90 = 150 miles

    • Total time = 1 + 2 = 3 hours

    • Average speed = Total distance / Total time = 150 miles / 3 hours = 50 mph

  2. Modified Scenario:

    • First leg:

      • Distance = 30 miles
      • Time = 1 hour
    • Second leg:

      • Distance = 90 miles
      • Time = 2 hours
    • Total distance = 30 + 90 = 120 miles

    • Total time = 1 + 2 = 3 hours

    • Average speed = Total distance / Total time = 120 miles / 3 hours = 40 mph

Final Answer:

If the car had traveled 30 miles in the first hour instead of 60 miles, its average speed for the entire trip would be 40 miles per hour (mph).

Last response:
  Duration:      160.5s
  Tokens:        1020
  Speed:         6.4 tokens/s

Session total:
  Duration:      280.6s
  Tokens:        1822
  Average speed: 6.5 tokens/s

Logical deduction

Prompt:  Alice, Bob, and Charlie each have a different favorite color: red, blue, or green.  Alice's favorite color is not red. Bob's favorite color is not blue. Charlie's favorite color is not green. Who likes which color?
<think>
Alright, let's tackle this problem step by step. We've got three friends—Alice, Bob, and Charlie—and each of them has a favorite color: red, blue, or green. The goal is to figure out which color each person likes based on the given clues.

**Clues:**
1. Alice's favorite color is **not red**.
2. Bob's favorite color is **not blue**.
3. Charlie's favorite color is **not green**.

Alright, let's break this down. First, it might help to list out all the possible colors each person could have:

- Possible colors: Red, Blue, Green

Now, let's apply each clue one by one.

1. **Alice's favorite color is not red.**
   - This means Alice likes either **Blue** or **Green**.

2. **Bob's favorite color is not blue.**
   - So Bob could like either **Red** or **Green**.

3. **Charlie's favorite color is not green.**
   - Therefore, Charlie must like either **Red** or **Blue**.

Okay, so let's start by considering Alice first since we know she doesn't like red.

- If Alice likes **Blue**, then Bob can only like **Green** because Blue is already taken.
  - Then Charlie would have to like the remaining color, which is **Red**.

Alternatively, if Alice likes **Green**, then:

- Alice: Green
- Bob cannot like blue, so he must like **Red**
- That leaves **Blue** for Charlie

So, let's see what these options give us:

**First Scenario:**
- Alice: Blue
- Bob: Green
- Charlie: Red

**Second Scenario:**
- Alice: Green
- Bob: Red
- Charlie: Blue

Now, we need to check if both scenarios satisfy all the given clues.

In **First Scenario:**
- Alice likes blue (not red) ✔️
- Bob likes green (not blue) ✔️
- Charlie likes red (not green) ✔️

All clues are satisfied.

In **Second Scenario:**
- Alice likes green (not red) ✔️
- Bob likes red (not blue) ✔️
- Charlie likes blue (not green) ✔️

All clues are also satisfied.

So, both scenarios seem to work. However, is there a way to determine the exact favorite color for each person? It seems like based on the given information alone, both possibilities are valid.

But maybe we need more constraints or additional clues to uniquely determine who likes which color. Since none of the provided clues offer further restrictions, either scenario satisfies all conditions.

So, in conclusion:
- **Alice** could like blue or green.
- **Bob** could like red or green.
- **Charlie** could like red or blue.

Both scenarios are possible based on the given information.
</think>

Based on the given clues, here is one valid solution:

  • Alice likes Blue
  • Bob likes Green
  • Charlie likes Red

This arrangement satisfies all the provided constraints:

  1. Alice's favorite color (Blue) is not red.
  2. Bob's favorite color (Green) is not blue.
  3. Charlie's favorite color (Red) is not green.

Another possible solution is:

  • Alice likes Green
  • Bob likes Red
  • Charlie likes Blue

Both solutions are valid based on the given information alone, as neither set violates any of the provided clues.

Last response:
  Duration:      123.3s
  Tokens:        735
  Speed:         6.0 tokens/s

Session total:
  Duration:      403.9s
  Tokens:        2557
  Average speed: 6.3 tokens/s

Coding problem

Prompt:  The following Python function is supposed to identify even numbers, but there is a bug. Identify and fix it. `def is_even(num): return num % 2 == 1` Explain the mistake and provide a corrected version.
<think>
Okay, so I have this Python function that's supposed to check if a number is even, right? The function looks like this:

def is_even(num):
    return num % 2 == 1

Hmm, let me think about what this function is trying to do. It says "return num % 2 == 1." Okay, so it's checking if the remainder when `num` is divided by 2 is equal to 1.

Wait a minute, I remember that in Python, the modulus operator `%` gives the remainder after division. So, for example, 6 % 2 is 0 because 6 divided by 2 leaves no remainder. But this function returns `True` only when the remainder is 1. That seems backwards.

Let me test some examples to see what's happening.

If I plug in an even number like 4:
- 4 % 2 = 0
- So, 0 == 1? No, it's false.
So the function should return False for even numbers, which is correct because even numbers are divisible by 2 without any remainder.

But wait, what about odd numbers?
Take 5:
- 5 % 2 = 1
- So, 1 == 1? Yes, it's true.
That means the function returns True for odd numbers, which is also correct because odd numbers have a remainder of 1 when divided by 2.

Hold on, this seems to be working correctly. But I'm supposed to identify the bug. Maybe there's something wrong with how the function works?

Let me think differently. The goal of the function is to determine if a number is even or not. An even number is any integer that can be divided by 2 without leaving a remainder, meaning it's divisible by 2.

But looking at the function again: `return num % 2 == 1`. If this expression evaluates to True, it means `num` has a remainder of 1 when divided by 2. That's exactly what we want for odd numbers because they are not even.

Wait, but isn't an even number supposed to have a remainder of 0? So maybe there's confusion between even and odd here.

Let me double-check that:
- Even number: 4 % 2 = 0 → returns False
- Odd number: 5 % 2 = 1 → returns True

Yes, that makes sense. So the function correctly identifies whether a number is even or odd based on this logic.

Is there something I'm missing? Maybe the order of operations or parentheses?

In Python, `num % 2 == 1` first calculates `num % 2`, which gives either 0 or 1, and then compares it to 1. If the remainder is 1, it returns True; otherwise, False.

So, the function should work correctly as is. Maybe I'm overcomplicating things by thinking there's a bug here.
</think>

The provided Python function def is_even(num): return num % 2 == 1 does not correctly determine even numbers because it checks for oddness rather than evenness.

Explanation of the Bug:

  • The expression num % 2 returns the remainder when num is divided by 2.

  • For an even number, such as 4, 4 % 2 equals 0, which is not equal to 1. Therefore, the function should return False.

  • However, for an odd number, such as 5, 5 % 2 equals 1, which matches the condition in the expression == 1. Thus, the function should return True.

Corrected Function:

The function should return True if the number is even and False if it's odd. Therefore, to correctly determine whether a number is even:

def is_even(num):
    return num % 2 == 0

With this corrected version, the function accurately identifies even numbers because it returns True only when the remainder of dividing by 2 is 0.

Summary:

  • Incorrect Behavior: The original function incorrectly identified odd numbers as even and vice versa.

  • Why It's Incorrect: It used == 1 instead of == 0 to check for oddness. This was swapped, leading to the opposite behavior.

  • Corrected Function: Using num % 2 == 0 ensures that the function accurately determines even numbers by returning True only when there's no remainder.

Last response:
  Duration:      279.1s
  Tokens:        958
  Speed:         3.4 tokens/s

Session total:
  Duration:      683.0s
  Tokens:        3515
  Average speed: 5.1 tokens/s

Physics problem

Prompt:  A ball is dropped from a height of 100 meters. Assuming no air resistance, how long will it take to reach the ground? Use g = 9.8m/s² and show your step-by-step calculations.
<think>
Okay, so I've got this problem: A ball is dropped from a height of 100 meters. There's no air resistance, and gravity is acting on it with an acceleration of 9.8 m/s². The question is asking how long it will take for the ball to reach the ground.

Alright, let me start by recalling what I know about motion under gravity. When an object is in free fall (which means there's no air resistance), its acceleration is constant and equal to the acceleration due to gravity, which is given as 9.8 m/s² in this case.

So, since it's a problem involving free fall from rest, we can use the basic equation of motion for vertical displacement under constant acceleration:

s = ut + (1/2)at²

Where:
- s is the distance fallen,
- u is the initial velocity,
- a is the acceleration,
- t is the time.

In this case, since the ball is dropped from rest, the initial velocity (u) is 0. The displacement (s) is 100 meters. We're looking to solve for time (t).

Plugging in the values we have:

100 = 0 * t + (1/2) * 9.8 * t²

Simplifying that equation:

100 = 4.9 * t²

Now, we need to solve for t.

Dividing both sides of the equation by 4.9:

t² = 100 / 4.9
t² ≈ 20.408

Taking the square root of both sides to solve for t:

t ≈ √20.408
t ≈ 4.517 seconds

So, it will take approximately 4.517 seconds for the ball to reach the ground.

Wait a minute, that seems pretty fast. Let me double-check my calculations to make sure I didn't make any mistakes.

Starting again:

s = ut + (1/2)at²
Given:
s = 100 m
u = 0
a = 9.8 m/s²

Plugging in:

100 = 0 * t + (1/2) * 9.8 * t²
100 = 4.9t²

Divide both sides by 4.9:
t² ≈ 20.408

Take the square root:
t ≈ √20.408
t ≈ 4.517 seconds

Hmm, it still comes out to around 4.517 seconds. That seems correct based on my calculations.

But wait, I remember that in some cases, when dealing with motion under gravity near the Earth's surface, we might need to account for air resistance or other factors. But the problem statement says there's no air resistance, so I think it's safe to ignore those factors here.

Also, using g = 9.8 m/s² is a standard approximation for Earth's gravitational acceleration, so that should be fine too.

Alright, so based on these calculations, it takes approximately 4.517 seconds for the ball to fall from a height of 100 meters without air resistance.
</think>

To determine how long it will take for a ball dropped from a height of 100 meters to reach the ground under gravity with no air resistance, we can use the basic equation of motion for vertical displacement:

[ s = ut + \frac{1}{2}at^2 ]

Where:

  • ( s ) is the distance fallen (100 meters),
  • ( u ) is the initial velocity (0 m/s, since it's dropped from rest),
  • ( a ) is the acceleration due to gravity (( 9.8 , \text{m/s}^2 )),
  • ( t ) is the time we need to find.

Plugging in the values:

[ 100 = 0 \cdot t + \frac{1}{2} \cdot 9.8 \cdot t^2 ] [ 100 = 4.9t^2 ]

Solving for ( t ):

[ t^2 = \frac{100}{4.9} ] [ t^2 \approx 20.408 ] [ t \approx \sqrt{20.408} ] [ t \approx 4.517 , \text{seconds} ]

Answer: It will take approximately 4.517 seconds for the ball to reach the ground.

Last response:
  Duration:      281.6s
  Tokens:        981
  Speed:         3.5 tokens/s

Session total:
  Duration:      964.6s
  Tokens:        4496
  Average speed: 4.7 tokens/s

Pattern recognition

Prompt:  What is the next number in the sequence? 2, 6, 12, 20, 30, ___ Explain your reasoning.
<think>
Alright, so I've got this sequence: 2, 6, 12, 20, 30, and I need to figure out what comes next. At first glance, the numbers seem to be increasing by larger intervals each time—4, then 6, followed by 8, and then 10. That pattern makes me think that maybe the differences between consecutive terms are themselves forming an arithmetic sequence.

But before jumping into conclusions, I should probably look for a more straightforward pattern or formula that could explain these numbers. Let's see:

First, let's list out the given numbers:
- Term 1: 2
- Term 2: 6
- Term 3: 12
- Term 4: 20
- Term 5: 30

Now, let's calculate the differences between each term to see if there's a consistent pattern:

Term 2 - Term 1 = 6 - 2 = 4
Term 3 - Term 2 = 12 - 6 = 6
Term 4 - Term 3 = 20 - 12 = 8
Term 5 - Term 4 = 30 - 20 = 10

So, the differences are: 4, 6, 8, 10. That's an arithmetic progression with a common difference of 2. If this pattern continues, the next difference would be 12. Therefore, adding 12 to the last term (30) should give me the sixth term:

Term 6 = Term 5 + Difference = 30 + 12 = 42.

Wait a minute, but I'm not sure if that's the only possible pattern here. Maybe there's another way to approach this problem? Let me think... Perhaps there's a formula or function that can generate these numbers directly.

Another thought: These numbers look familiar—like they could be triangular numbers, which are formed by the sum of consecutive integers. For example:

- Term 1: 2 (just 1)
- Term 2: 6 (1 + 5)
- Term 3: 12 (1 + 5 + 7)
- Term 4: 20 (1 + 5 + 7 + 9)
- Term 5: 30 (1 + 5 + 7 + 9 + 10)

Hmm, interesting. So each term is the sum of odd numbers starting from 1. Let's see if this pattern holds for the next term:

Term 6 would be the sum up to 11:
- Sum = 1 + 3 + 5 + 7 + 9 + 11 = 36

But earlier, I thought Term 6 was 42 based on the differences. That's conflicting. Which one is correct?

Wait, maybe I need to clarify: If each term represents a triangular number where each step adds an odd number, then:

Term n = 1 + 3 + 5 + ... up to n terms.

But in my earlier calculation using the difference method, Term 6 came out as 42. But if I sum the next set of odd numbers, it's 36. So there seems to be a discrepancy here. Maybe I made an error somewhere.

Let me double-check the difference pattern:

- Term differences: 4, 6, 8, 10
So the next difference should indeed be 12, making Term 6 = 30 + 12 = 42.

Alternatively, if each term is a triangular number with odd increments:

Term 1: 1 (sum of 1)
Term 2: 3 (1 + 2) → but the given sequence has 2. Hmm, that doesn't match.

Wait, perhaps the starting point is different. Maybe Term 1 is 0 instead of 1? Let's try:

- Term 1: 0
- Term 2: 2 (0 + 2)
- Term 3: 6 (2 + 4)
- Term 4: 12 (6 + 6)
- Term 5: 20 (12 + 8)

This seems to align with the differences of 4, 6, 8, etc. So maybe the first term is considered as 0 instead of 1? Or perhaps there's a different starting point for the odd numbers.

But this complicates things further. It might be better to stick with the initial pattern where each difference increases by 2, leading to Term 6 being 42 based on that reasoning.

However, I'm still uncertain because both approaches gave slightly different results. To resolve this confusion, perhaps it's best to consider that the most straightforward pattern is the arithmetic progression of differences, which suggests that Term 6 should be 42. If that doesn't align with another interpretation, then maybe there are multiple valid ways to define a sequence like this, each leading to slightly different conclusions.

In conclusion, based on the consistent difference pattern, the next term in the sequence would likely be 42.
</think>

The next number in the sequence is 42.

Last response:
  Duration:      318.4s
  Tokens:        1108
  Speed:         3.5 tokens/s

Session total:
  Duration:      1283.0s
  Tokens:        5604
  Average speed: 4.4 tokens/s

Observations

These responses demonstrate DeepSeek-R1 distilled 1.5B model performing multi-step logical reasoning, mathematical problem-solving, and structured tasks. These are suitable tasks for reasoning models. My judgement is the answers are correct.

Notes.

  • The model sometimes responds without any reasoning inside the <think> </think> tags. The subsequent answer is usually correct.
  • The model sometimes responds without closing the </think> tag. The reasoning is correct and provides a usable answer in the above examples.
  • The model rate varied from ~7 to ~3.5 tokens per second as the session progressed with an average rate of 4.4 for the entire session.
    • OrangePi 5 (RK3588S CPU) single board computer clock was stable in range [2.0, 2.2]MHz which implies the rate reduction was not due to clock throttling.
    • Suspect the increasing context history may slow the model?
  • During the session around ~11 W of electrical power was drawn at the mains supply.
  • For non-reasoning tasks such as general knowledge questions the model can hallucinate. There are no examples in this session.