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]


6?
False
Is 1132 a multiple of 152?
False
Does 87 divide 2975?
False
Is 151120 a multiple of 121?
False
Does 24 divide 118860?
False
Is 19699 a multiple of 39?
False
Does 33 divide 3168?
True
Does 33 divide 2541?
True
Does 20 divide 1605?
False
Does 3 divide 14394?
True
Does 11 divide 9814?
False
Is 76 a multiple of 8?
False
Does 9 divide 398?
False
Does 69 divide 897?
True
Does 159 divide 78387?
True
Is 7878 a multiple of 13?
True
Is 59 a factor of 354?
True
Does 6 divide 8227?
False
Is 186587 a multiple of 20?
False
Is 14381 a multiple of 197?
True
Is 59 a factor of 1593?
True
Does 347 divide 38470?
False
Does 104 divide 9568?
True
Does 54 divide 1145?
False
Does 24 divide 6968?
False
Is 8 a factor of 4825?
False
Is 2715 a multiple of 51?
False
Is 87 a multiple of 30?
False
Does 4 divide 2580?
True
Does 4 divide 194?
False
Does 23 divide 9399?
False
Is 60 a factor of 3400?
False
Is 12 a factor of 22849?
False
Does 11 divide 227?
False
Is 38 a factor of 14821?
False
Is 11 a factor of 229?
False
Is 221 a multiple of 13?
True
Is 6099 a multiple of 57?
True
Is 2094 a multiple of 4?
False
Does 9 divide 5085?
True
Is 8 a factor of 701?
False
Is 2800 a multiple of 56?
True
Is 3518 a multiple of 22?
False
Is 22 a factor of 1465?
False
Is 70 a multiple of 9?
False
Is 288 a multiple of 9?
True
Is 8 a factor of 2056?
True
Does 44 divide 250?
False
Does 64 divide 128?
True
Is 18 a factor of 1515?
False
Is 23 a factor of 14758?
False
Does 116 divide 27606?
False
Does 119 divide 13447?
True
Is 2723 a multiple of 27?
False
Does 31 divide 36053?
True
Does 15 divide 6525?
True
Is 8 a factor of 3384?
True
Is 19 a factor of 17375?
False
Is 154 a factor of 7955?
False
Does 3 divide 8822?
False
Is 5 a factor of 215?
True
Is 2362 a multiple of 28?
False
Does 93 divide 10230?
True
Does 4 divide 518?
False
Does 140 divide 16563?
False
Does 24 divide 9240?
True
Is 8281 a multiple of 6?
False
Is 228 a multiple of 4?
True
Is 66 a factor of 1584?
True
Is 47 a factor of 1042?
False
Is 165312 a multiple of 12?
True
Does 96 divide 34752?
True
Is 3913 a multiple of 43?
True
Is 17 a factor of 319?
False
Does 21 divide 53088?
True
Is 466 a multiple of 6?
False
Does 16 divide 506?
False
Is 20 a factor of 240?
True
Is 7 a factor of 425?
False
Does 19 divide 551?
True
Is 28 a multiple of 28?
True
Is 1266 a multiple of 48?
False
Is 15 a factor of 630?
True
Is 108 a multiple of 15?
False
Does 45 divide 1193?
False
Does 21 divide 4011?
True
Is 14 a factor of 31963?
False
Does 88 divide 39941?
False
Does 28 divide 332?
False
Is 67 a factor of 9339?
False
Does 118 divide 3315?
False
Is 155 even?
False
Does 12 divide 96?
True
Does 30 divide 3195?
False
Does 5 divide 15537?
False
Is 4 a factor of 5660?
True
Is 105 a factor of 147?
False
Is 50 a factor of 2250?
True
Does 4 divide 44?
True
Is 348 a multiple of 87?
True
Is 32 a factor of 2504?
False
Does 29 divide 1072?
False
Is 2692 a multiple of 14?
False
Does 8 divide 200?
True
Is 64 a factor of 17993?
False
Is 719 a multiple of 24?
False
Is 218 a multiple of 12?
False
Does 60 divide 20520?
True
Is 32 a factor of 448?
True
Is 133 a factor of 3233?
False
Is 183 a multiple of 61?
True
Is 105 a multiple of 3?
True
Is 252 a multiple of 42?
True
Is 5247 a multiple of 30?
False
Does 11 divide 1507?
True
Is 7 a factor of 12702?
False
Is 4 a factor of 104?
True
Is 39 a factor of 1347?
False
Is 37220 a multiple of 230?
False
Does 13 divide 34790?
False
Does 8 divide 611?
False
Is 12 a factor of 38734?
False
Does 63 divide 15240?
False
Does 66 divide 14872?
False
Is 118 a factor of 10186?
False
Is 1025 a multiple of 25?
True
Is 284 a multiple of 71?
True
Does 6 divide 4953?
False
Is 26 a factor of 8658?
True
Is 19 a factor of 972?
False
Does 13 divide 2060?
False
Is 5138 a multiple of 119?
False
Is 3 a factor of 130?
False
Does 26 divide 39498?
False
Is 882 a multiple of 6?
True
Is 7 a factor of 140?
True
Is 16 a factor of 224?
True
Is 1187 a multiple of 11?
False
Is 5 a factor of 852?
False
Is 5920 a multiple of 74?
True
Does 448 divide 25751?
False
Is 12820 a multiple of 96?
False
Does 6 divide 156?
True
Does 164 divide 9840?
True
Is 13846 a multiple of 14?
True
Is 15 a factor of 43030?
False
Is 2028 a multiple of 169?
True
Is 49 a factor of 2752?
False
Is 11 a factor of 14311?
True
Is 1508 a multiple of 3?
False
Is 52 a factor of 67?
False
Is 13995 a multiple of 67?
False
Is 2528 a multiple of 4?
True
Does 3 divide 77?
False
Is 3094 a multiple of 17?
True
Is 5320 a multiple of 152?
True
Is 211 a factor of 88120?
False
Is 43 a factor of 1367?
False
Is 31844 a multiple of 80?
False
Does 20 divide 41620?
True
Is 15 a factor of 19059?
False
Is 21 a factor of 2750?
False
Is 7 a factor of 3879?
False
Is 3 a factor of 262?
False
Is 6018 a multiple of 51?
True
Does 7 divide 14919?
False
Is 1003 a multiple of 6?
False
Is 123 a factor of 76383?
True
Does 12 divide 14166?
False
Does 178 divide 2824?
False
Does 68 divide 3411?
False
Is 704 a multiple of 25?
False
Is 242 a multiple of 19?
False
Does 19 divide 11586?
False
Does 31 divide 3451?
False
Is 44 a factor of 191?
False
Does 2 divide 328?
True
Does 33 divide 165?
True
Is 143 a factor of 24720?
False
Is 8392 a multiple of 15?
False
Does 13 divide 2977?
True
Is 15250 a multiple of 10?
True
Does 15 divide 34669?
False
Does 4 divide 12984?
True
Is 1896 a multiple of 6?
True
Is 2380 a multiple of 4?
True
Does 4 divide 124?
True
Does 122 divide 11712?
True
Is 16 a factor of 208?
True
Is 3015 a multiple of 67?
True
Is 2364 a multiple of 51?
False
Is 28 a factor of 616?
True
Is 2848 a multiple of 16?
True
Is 4 a factor of 312?
True
Is 31 a factor of 521?
False
Is 3219 a multiple of 48?
False
Is 43 a factor of 3901?
False
Does 109 divide 436?
True
Is 297 a multiple of 14?
False
Does 21 divide 100?
False
Does 22 divide 441?
False
Is 17821 a multiple of 101?
False
Does 9 divide 28746?
True
Is 6055 a multiple of 35?
True
Does 27 divide 432?
True
Is 263 a multiple of 2?
False
Does 59 divide 12122?
False
Is 9 a factor of 636?
False
Does 74 divide 13320?
True
Is 874 a multiple of 23?
True
Is 143 a multiple of 13?
True
Is 28535 a multiple of 126?
False
Is 333 a multiple of 9?
True
Does 39 divide 10444?
False
Is 19 a factor of 601?
False
Does 49 divide 980?
True
Is 53 a factor of 159?
True
Is 34 a factor of 16388?
True
Is 27 a factor of 1728?
True
Is 409 a factor of 41868?
False
Is 11 a factor of 1133?
True
Is 11704 a multiple of 133?
True
Is 316 a multiple of 23?
False
Does 2 divide 9141?
False
Is 38 a factor of 152?
True
Is 30 a factor of 14191?
False
Is 2741 a multiple of 14?
False
Is 56 a factor of 40936?
True
Is 21 a factor of 63?
True
Does 5 divide 8160?
True
Is 855 a multiple of 9?
True
Is 1292 a multiple of 31?
False
Does 12 divide 1170?
False
Does 47 divide 1880?
True
Is 4474 a multiple of 51?
False
Does 54 divide 3914?
False
Is 18 a factor of 23?
False
Is 4906 a multiple of 4?
False
Does 50 divide 4900?
True
Is 112 a factor of 7504?
True
Does 34 divide 14824?
True
Does 16 divide 16?
True
Does 7 divide 5663?
True
Does 8 divide 2395?
False
Is 3211 a multiple of 13?
True
Is 642 a multiple of 11?
False
Is 6057 a multiple of 9?
True
Is 80 a factor of 160?
True
Does 76 divide 18696?
True
Is 17 a factor of 850?
True
Is 2 a factor of 13?
False
Is 11 a factor of 297?
True
Is 2924 a multiple of 80?
False
Does 50 divide 13950?
True
Is 25 a factor of 1494?
False
Is 1562 a multiple of 22?
True
Is 204 a multiple of 12?
True
Is 51216 a multiple of 28?
False
Is 3 a factor of 96?
True
Is 1786 a multiple of 94?
True
Is 1202 a multiple of 92?
False
Does 56 divide 1336?
False
Is 6 a factor of 11532?
True
Does 168 divide 41956?
False
Is 17 a factor of 12121?
True
Does 36 divide 18720?
True
Does 12 divide 9820?
False
Is 580 a multiple of 20?
True
Is 1919 a multiple of 19?
True
Is 405 a factor of 85860?
True
Is 283 even?
False
Is 13 a factor of 812?
False
Is 238 a multiple of 45?
False
Is 430 a multiple of 10?
True
Does 10 divide 44156?
False
Is 13 a factor of 48597?
False
Does 47 divide 860?
False
Is 391 a multiple of 23?
True
Is 3 a factor of 69?
True
Is 6 a factor of 15222?
True
Is 5 a factor of 766?
False
Is 1638 a multiple of 9?
True
Is 10 a factor of 260?
True
Does 113 divide 9827?
False
Is 48 a factor of 6432?
True