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.
Insightfulness: Is the response creative, original or novel, including new perspectives or interpretations of existing information?
Score 1: The response is overly simplistic, lacking any originality or novelty.
Score 2: The ideas or perspectives within the response are commonplace, demonstrating a lack of originality or novelty.
Score 3: Some may perceive the response as original and novel, but others may find it ordinary or uninspiring.
Score 4: The response includes some innovative perspectives or ideas that require thoughtful consideration, yet they aren't particularly surprising.
Score 5: The response is infused with surprisingly creative perspectives or ideas that are challenging to conceive, showcasing significant originality and novelty.
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]
Design a programming problem related to the subject that has been given to you. Use some examples and constraints to improve your question.
Input: Dynamic Programming

[Ground truth Answer]
Given an integer array nums, return the length of the longest strictly increasing subsequence.

 Example 1:
In: nums = [10,9,2,5,3,7,101,18]
Out: 4
Explanation: The longest increasing subsequence is [2,3,7,101], therefore the length is 4.

Example 2:
In: nums = [0,1,0,3,2,3]
Out: 4

Example 3:
In: nums = [7,7,7,7,7,7,7]
Out: 1
 
Constraints:
1 <= nums.length <= 2500
-104 <= nums[i] <= 104
 
Follow up: Can you come up with an algorithm that runs in O(n log(n)) time complexity?

[Assistant's Response]
### Problem Title: Maximum Non-Adjacent Sum

#### Problem Statement:

You are given an array of integers where each integer represents the amount of money you can earn from a house. However, you cannot rob two adjacent houses, as this will trigger an alarm. Your task is to write a function that calculates the maximum amount of money you can rob without triggering the alarm.

#### Function Signature:
```python
def max_non_adjacent_sum(houses: List[int]) -> int:
```

#### Input:
- A list of integers `houses` where \(1 \leq \text{len(houses)} \leq 1000\) and \(0 \leq \text{houses}[i] \leq 1000\).

#### Output:
- An integer representing the maximum amount of money you can rob.

#### Examples:

1. **Example 1:**
   - Input: `houses = [2, 7, 9, 3, 1]`
   - Output: `12`
   - Explanation: You can rob houses with amounts 2, 9, and 1 (2 + 9 + 1 = 12).

2. **Example 2:**
   - Input: `houses = [1, 2, 3, 1]`
   - Output: `4`
   - Explanation: You can rob houses with amounts 1 and 3 (1 + 3 = 4).

3. **Example 3:**
   - Input: `houses = [5, 3, 4, 11, 2]`
   - Output: `16`
   - Explanation: You can rob houses with amounts 5 and 11 (5 + 11 = 16).

4. **Example 4:**
   - Input: `houses = [2, 1, 1, 2]`
   - Output: `4`
   - Explanation: You can rob the first and last house (2 + 2 = 4).

#### Constraints:
- You must use dynamic programming to solve this problem efficiently.
- Aim for a time complexity of O(n) and a space complexity of O(1) if possible.

#### Notes:
- If there are no houses (i.e., an empty list), the maximum amount you can rob is `0`.
- If there is only one house, return the value of that house.

### Solution Approach:
To solve this problem, you can use a dynamic programming approach. The idea is to maintain two variables that keep track of the maximum money that can be robbed up to the current house. At each house, you have two choices: either rob it (and add its value to the maximum robbed from two houses before) or skip it (and take the maximum robbed from the previous house). 

This approach allows you to build up the solution iteratively while keeping track of the maximum sums possible at each step, ultimately leading to an efficient solution.

[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: