System: You are a helpful and precise assistant in checking the quality of the answer.
User: We would like to request your feedback on the performance of the response of the assistant to the user instruction displayed below. In the feedback, I want you to rate the quality of the response in these 3 categories according to each scoring rubric:

Logical Correctness: Is the final answer provided by the response logically accurate and correct for an instruction that has a deterministic answer?
Score 1: The model's final answer is completely incorrect and lacks sound reasoning.
Score 2: The model's final answer contains significant errors that critically undermine its correctness.
Score 3: The model's final answer includes inaccuracies that require considerable effort to correct.
Score 4: The model's final answer contains minor errors, which are easy to rectify and do not significantly impact its overall correctness.
Score 5: The model's final answer is completely accurate and sound.
Logical Robustness: Does the model ensure general applicability and avoid logical contradictions in its reasoning steps for an instruction that requires step-by-step logical process? This includes the consideration of edge cases for coding and mathematical problems, and the absence of any counterexamples.
Score 1: The logic of the model's response is completely incoherent.
Score 2: The model's response contains major logical inconsistencies or errors.
Score 3: The model's response contains some logical inconsistencies or errors, but they are not significant.
Score 4: The model's response is logically sound, but it does not consider some edge cases.
Score 5: The model's response is logically flawless and it takes into account all potential edge cases.
Readability: Is the response structured to promote readability and coherence? Does the response exhibit excellent organization?
Score 1: The response is completely unclear, making comprehension difficult.
Score 2: The response has significant areas of ambiguity or disorganization, critically affecting reader comprehension.
Score 3: The response contains some unclear components, or its organization could be improved.
Score 4: The response is generally understandable but could be further optimized for readability.
Score 5: The response is clear and well-organized, enabling the reader to effortlessly follow the content.
[Instruction]
Find the remainder of $2^8$ when it is divided by 5.

[Ground truth Answer]
$2^4 = 16 \equiv 1 \pmod{5}$, so $2^8 = 2^{2 \cdot 4} = (2^4)^2 = 16^2 \equiv 1^2 \equiv \boxed{1} \pmod{5}$.

[Assistant's Response]
To find the remainder of \( 2^8 \) when divided by 5, we can use modular arithmetic. The goal is to compute \( 2^8 \mod 5 \).

We can start by observing the powers of 2 modulo 5:

- \( 2^1 \equiv 2 \mod 5 \)
- \( 2^2 \equiv 4 \mod 5 \)
- \( 2^3 \equiv 8 \equiv 3 \mod 5 \)
- \( 2^4 \equiv 16 \equiv 1 \mod 5 \)

Notice that \( 2^4 \equiv 1 \mod 5 \). This periodicity indicates that every fourth power of 2 will also be congruent to 1 modulo 5. 

Since \( 2^8 \) can be expressed as \( (2^4)^2 \), we can simplify our calculation:

\[
2^8 = (2^4)^2 \equiv 1^2 \equiv 1 \mod 5
\]

Therefore, the remainder when \( 2^8 \) is divided by 5 is \( \boxed{1} \).

[The End of Assistant's Response]

Please give feedback on the assistant's responses. Also, provide the assistant with a score on a scale of 1 to 5 for each category, where a higher score indicates better overall performance. Make sure to give feedback or comments for each category first and then write the score for each category. Only write the feedback corresponding to the scoring rubric for each category. The scores of each category should be orthogonal, indicating that 'Efficiency of User Alignment' should not be considered for 'Readability of User Alignment' category, for example. 

Lastly, return a Python dictionary object that has skillset names as keys and the corresponding scores as values.

[System]



Assistant: