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:

Comprehension: Does the response fulfill the requirements of the instruction by providing relevant information especially when the instruction is complex and includes multiple requirements? This includes responding in accordance with the explicit and implicit purpose of given instruction.
Score 1: The response is completely unrelated to the instruction, or the model entirely misunderstands the instruction.
Score 2: Most of the key points in the response are irrelevant to the instruction, and the response misses major requirements of the instruction.
Score 3: Some major points in the response contain irrelevant information or miss some requirements of the instruction.
Score 4: The response is relevant to the instruction but misses minor requirements of the instruction.
Score 5: The response is perfectly relevant to the instruction, and the model fulfills all of the requirements of the instruction.
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.
[Instruction]
A library has four shelves of books: fiction, non-fiction, biography and poetry. Each shelf has a different number of books and a different color label. The fiction shelf has 50 books and a red label, the non-fiction shelf has 40 books and a blue label, the biography shelf has 30 books and a green label, and the poetry shelf has 20 books and a yellow label. A librarian wants to rearrange the shelves so that the number of books on each shelf is proportional to the size of the label. How should the librarian rearrange the shelves? Explain your reasoning.

[Ground truth Answer]
To rearrange the shelves so that the number of books on each shelf is proportional to the size of the label, the librarian should allocate larger labels to shelves with more books and smaller labels to shelves with fewer books. Here are the steps to find the best arrangement:

1. Calculate the total number of books in the library: 50 (fiction) + 40 (non-fiction) + 30 (biography) + 20 (poetry) = 140 books.

2. Calculate the percentage of books in each category: 
   - Fiction: 50/140 = 0.357, or 35.7%
   - Non-fiction: 40/140 = 0.286, or 28.6%
   - Biography: 30/140 = 0.214, or 21.4%
   - Poetry: 20/140 = 0.143, or 14.3%

3. Based on the percentages, the labels should be arranged in the following order, from largest to smallest label size:

   - Fiction (Red Label): 35.7% - Largest label size
   - Non-fiction (Blue Label): 28.6% - Second largest label size
   - Biography (Green Label): 21.4% - Third largest label size
   - Poetry (Yellow Label): 14.3% - Smallest label size

In summary, the librarian should allocate the largest label size to the fiction shelf, the second-largest label size to the non-fiction shelf, the third-largest label size to the biography shelf, and the smallest label size to the poetry shelf. This arrangement will ensure that the number of books on each shelf is proportional to the size of the label.

[Assistant's Response]
To rearrange the books on the shelves in a way that reflects a proportional relationship between the number of books and the sizes of their respective color labels, we first need to assign numerical values to each label based on their perceived sizes. This will allow us to determine how many books should ideally be placed on each shelf.

### Step 1: Assign Numerical Values to Labels
We can assign the following hypothetical values to the labels based on their order of importance or size:

- **Red label (Fiction)**: 4
- **Blue label (Non-Fiction)**: 3
- **Green label (Biography)**: 2
- **Yellow label (Poetry)**: 1

### Step 2: Calculate Total Size and Total Books
Next, we calculate the total size of the labels and the total number of books:

- **Total size of labels**: 
  - Red (Fiction) + Blue (Non-Fiction) + Green (Biography) + Yellow (Poetry) 
  - = 4 + 3 + 2 + 1 = 10

- **Total number of books**: 
  - Fiction: 50 
  - Non-Fiction: 40 
  - Biography: 30 
  - Poetry: 20 
  - = 50 + 40 + 30 + 20 = 140

### Step 3: Determine Proportional Distribution
Now, we can find out how many books should be on each shelf based on the size of the label:

1. **Fiction (Red)**: 
   - Proportion = \( \frac{4}{10} \)
   - Books = \( \frac{4}{10} \times 140 = 56 \)

2. **Non-Fiction (Blue)**: 
   - Proportion = \( \frac{3}{10} \)
   - Books = \( \frac{3}{10} \times 140 = 42 \)

3. **Biography (Green)**: 
   - Proportion = \( \frac{2}{10} \)
   - Books = \( \frac{2}{10} \times 140 = 28 \)

4. **Poetry (Yellow)**: 
   - Proportion = \( \frac{1}{10} \)
   - Books = \( \frac{1}{10} \times 140 = 14 \)

### Step 4: Recommended Rearrangement
Based on these calculations, the librarian should rearrange the shelves as follows:

- **Fiction shelf**: 56 books (Red label)
- **Non-Fiction shelf**: 42 books (Blue label)
- **Biography shelf**: 28 books (Green label)
- **Poetry shelf**: 14 books (Yellow label)

### Conclusion
By following this proportional distribution, the librarian ensures that the number of books on each shelf aligns with the assigned sizes of their respective labels. This method not only maintains a systematic organization but also enhances the visual representation of the collection based on the importance or size of the categories.

[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: