You are a helpful assistant generating synthetic data that captures *System 1* and *System 2* thinking, *creativity*, and *metacognitive reflection*. Follow these steps in sequence, using tags [sys1] and [end sys1] for *System 1* sections and [sys2] and [end sys2] for *System 2* sections.

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify parts of the text that require quick, straightforward responses (*System 1*). Mark these sections with [sys1] and [end sys1].
   - Identify parts that require in-depth, reflective thinking (*System 2*), marked with [sys2] and [end sys2].

2. *Apply Step-by-Step Problem Solving with Creativity and Metacognitive Reflection for System 2 Sections:*

   *2.1 Understand the Problem:*
   - Objective: Fully comprehend the issue, constraints, and relevant context.
   - Reflection: "What do I understand about this issue? What might I be overlooking?"
   - Creative Perspective: Seek hidden patterns or possibilities that could reveal deeper insights or innovative connections.

   *2.2 Analyze the Information:*
   - Objective: Break down the problem logically.
   - Reflection: "Am I considering all factors? Are there any assumptions that need challenging?"
   - Creative Perspective: Explore unique patterns or overlooked relationships in the data that could add depth to the analysis.

   *2.3 Generate Hypotheses:*
   - Objective: Propose at least 10 hypotheses, each with a Confidence Score (0.0 to 1.0) and Creative Score (0.0 to 1.0), reflecting originality, surprise, and utility.
   - Reflection: "Have I explored all possible explanations or approaches, both conventional and unconventional?"
   - Creative Perspective: Consider novel angles that might provide unexpected insights.

   *2.4 Anticipate Future Steps and Obstacles:*
   - Objective: Make predictions, accounting for potential outcomes and obstacles.
   - Reflection: "What challenges might I face? Is my plan flexible for different scenarios?"
   - Creative Perspective: Visualize unforeseen outcomes and adapt plans to make use of them effectively.

   *2.5 Evaluate Hypotheses:*
   - Objective: Assess hypotheses based on feasibility, risk, and potential impact.
   - Evaluation: Refine Confidence and Creative Scores as needed.
   - Reflection: "Am I unbiased in my assessment? Which options fit best with the overall objectives?"
   - Creative Perspective: Identify hidden opportunities or overlooked details in each hypothesis.

   *2.6 Select the Best Hypothesis:*
   - Objective: Choose the most promising, strategic hypothesis.
   - Reflection: "Why does this hypothesis stand out? How does it uniquely address the issue?"
   - Creative Perspective: Consider any underutilized potential in the selected approach.

   *2.7 Implement the Hypothesis:*
   - Objective: Outline actionable steps for testing the hypothesis.
   - Reflection: "Is this plan practical? What resources or preparation are required?"
   - Creative Perspective: Refine steps to maximize effectiveness and yield unexpected benefits.

   *2.8 Monitor and Review Progress:*
   - Objective: Review progress, noting areas for improvement.
   - Reflection: "What’s working well? What could be improved?"
   - Creative Perspective: Look for emerging patterns that could refine future approaches.

   *2.9 Reflect and Capture Insights:*
   - Objective: Summarize lessons learned and insights gained for future reference.
   - Reflection: "What new understanding has emerged from this process?"
   - Creative Perspective: Identify innovative insights or patterns that could be applied to similar challenges.

3. *Generate Text Output with Interleaved System 1 and System 2 Responses:*
   - Use the tags [sys1] and [sys2] throughout.
   - Aim for a lengthier, detailed response. Combine both direct, straightforward *System 1* insights and reflective, deeply analytical *System 2* segments to capture a blend of quick observations and thoughtful analysis.

---

### *Example Input Text:*

You are tasked with analyzing a sudden shift in customer preferences in a tech market. There has been a noticeable decline in demand for physical devices, with customers increasingly interested in digital-only options. The challenge is to understand this shift, generate hypotheses for why it might be occurring, and explore potential strategies for adapting to this new trend.

---

### *Processed Output with System 1 and System 2 Thinking:*

The tech market is experiencing a shift in customer demand, moving away from physical devices toward digital-only options.

[sys1]
Customer demand has shifted from physical devices to digital-only options.
We need to understand why this change is happening and find strategies to address it.
Key factors may include cost, convenience, and technological trends.
[end sys1]

[sys2]
**2.1 Understand the Problem:**
The goal is to understand the underlying reasons for the shift in demand from physical devices to digital-only options, then develop a strategy to adapt.

*Reflection:* 
"I understand that preferences are changing, but what might be driving this? Is it primarily cost, or are there other factors such as convenience or sustainability?"

*Creative Perspective:* 
"Could there be a larger trend in digital minimalism or a preference for eco-friendly solutions that we’re missing? What unseen motivations might explain this shift?"

**2.2 Analyze the Information:**
There are multiple possible factors driving this shift, from economic influences to cultural shifts. It’s essential to isolate each factor and understand its impact.

*Reflection:* 
"Am I fully considering the various economic and social influences? Could there be a technological factor, like better internet speeds, that makes digital-only products more accessible?"

*Creative Perspective:* 
"Are there patterns or trends in other markets that could shed light on this shift? Could this be part of a larger trend toward virtual experiences?"

**2.3 Generate Hypotheses:**
1. Customers prefer digital options due to lower costs. (Confidence: 0.8, Creative: 0.4)
2. There’s a growing trend toward minimalism and reduced physical clutter. (Confidence: 0.7, Creative: 0.7)
3. Digital products offer greater flexibility and ease of use. (Confidence: 0.6, Creative: 0.6)
4. Environmental concerns are pushing consumers away from physical goods. (Confidence: 0.6, Creative: 0.8)
5. Advances in tech make digital-only options more functional. (Confidence: 0.8, Creative: 0.5)
6. Pandemic-era remote work increased demand for digital solutions. (Confidence: 0.7, Creative: 0.6)
7. Media coverage of the environmental impact of physical devices affects preferences. (Confidence: 0.5, Creative: 0.7)
8. There’s an increase in global digital literacy, expanding market access. (Confidence: 0.6, Creative: 0.6)
9. Customers view digital as more convenient and scalable for future needs. (Confidence: 0.7, Creative: 0.5)
10. Younger consumers prefer the aesthetics and convenience of digital products. (Confidence: 0.6, Creative: 0.6)

*Reflection:* 
"Have I considered all possible influences? Are there any surprising factors that could explain this shift?"

*Creative Perspective:* 
"Could specific social trends, like the rise of influencer culture or digital-first lifestyles, be influencing customer choices?"

**2.4 Anticipate Future Steps and Obstacles:**
*Objective:* Anticipate possible challenges, such as resistance from segments still preferring physical products.

*Reflection:* 
"What market obstacles might we face if we shift our focus to digital-only? Are there sub-segments that still prioritize physical products?"

*Creative Perspective:* 
"Could expanding digital options help us reach a more global audience? Are there emerging trends that we could leverage in our strategy?"

[end sys2]

[sys1]
To address this shift, consider a strategy that incorporates both digital-only offerings and educational campaigns about the benefits of digital solutions.
Use insights from customer feedback and current trends to guide product development.
Focus on flexibility and adaptation to cater to different customer segments.
[end sys1]


Typically, drop down ceilings, such as the one illustrated in FIG. 1, are used in many commercial and residential building projects when the height of the desired ceiling is lower than the structures actual ceiling height. The drop down ceiling is built using a metal grid which is supported by cables to the actual building. The grid is than populated with ceiling tiles, HVAC ducts and lighting. Such grids have been standardized to 2×2 foot and 2×4 foot sizes in order to make it easier for manufactures of ceiling tiles, HVAC ducts and lighting fixtures to offer standard products.
Lighting fixtures in the 2×2 foot and 2×4 foot sizes have for many years been illuminated using linear fluorescent lamps. These fixtures are sometimes referred to as fluorescent troffers. A fluorescent troffer can include components such as a sheet metal enclosure, a fluorescent ballast, fluorescent lamps and optics to shape the light emitted from the lamps into something pleasing for the environment in which it will be used. A person skilled in the art will recognize three typical types of fluorescent troffers: prismatic, parabolic, and volumetric. One example of a prismatic troffer is illustrated in FIG. 2, and can include, for example, lamps recessed inside the fixture with a lens covering the face of the fixture. One example of a parabolic troffer is illustrated in FIG. 3, and can include, for example, lamps recessed behind or inside cells with no lens covering the fixture. One example of a volumetric troffer is illustrated in FIG. 4, and can include, for example, lamps inside of specially designed reflectors and lenses.
The overall foot print of the various choices of fluorescent troffers, including but not limited to the three main types described herein, are generally the same because they must all drop into 2×2 foot or 2×4 foot grids.
While efforts to make more efficient lighting have led to developments directed to upgrading and replacing fluorescent troffers, such efforts suffer from a number of deficiencies. For example, some efforts that leave existing troffers in place do not improve the overall appearance of the light generated as the old troffers often remain old and dirty. In fact, light that used to be pleasing and have a low glare may be adversely affected. Additionally, because older systems are designed to be used with older technology, the optical efficiency (Lumens per Watt) that exists with newer technology can be lost due to compatibility issues. The optical efficiency (Lumens per Watt) of the total system can be lower than replacement components, or even the old components, and thus the total luminance of the lit space can decrease. Still further, complications can often arise in the re-wiring and re-fitting that is often needed to marry the newer systems with the older systems. Existing retrofitting options can be unreliable at least because the newer components may not fit well with the older components, and the cost associated with purchasing and installing the more efficient lighting can be expensive. New, replacement fixtures are also expensive and can suffer from many of the same complications already discussed. Additional complications can stem from new, replacement fixtures because the ceiling in which the new, replacement fixtures are installed may require modifications to handle different loads.
By way of non-limiting example, one way lighting fixtures having fluorescent tubes are modified to included an LED solution is by replacing the tube with an LED tube having the appropriate sized to fit into the existing fluorescent troffer fixture. The LED tube typically exhibits a Lambertian candela light distribution, as illustrated in FIG. 5. When the LED tube is added to the troffer fixture without any optics, the resulting light distribution from the troffer can also be Lambertian. A person skilled in the art will recognize that Lambertian light distribution is not generally desirable for office-type lighting. Rather, bat wing light distribution, as illustrated in FIG. 6, is more preferable for office environments. Prior to the present disclosure, attempts to achieve bat wing light distribution involved associating secondary optics components with the troffers in which the LED tubes were installed to assist in creating the desired light distribution. Examples of such secondary optics components include a prismatic lens, baffles, or parabolic cells. These attempts, however, particularly in a retrofit setting with LED tubes, were not able to achieve a desirable light distribution. The amount of light for a particular space was often insufficient and included an undesirable amount of glare.
The present disclosure contemplates new and improved devices, kits, and methods for either retrofitting existing overhead lighting systems, or providing new overhead lighting systems that are easier and cheaper to install, perform more efficiently, and minimize and/or overcome many of the aforementioned deficiencies. The present disclosure also contemplates new and improved devices, systems, and methods for improving the distribution of light emanating from a light fixture.