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]


r 1?
1
Is -1244 >= -2083?
True
Which is greater: -13738 or -13733?
-13733
Is -1825 at least -1830?
True
Which is bigger: -33/16055 or -1?
-33/16055
Which is smaller: 3 or -3.1944?
-3.1944
Which is smaller: 14 or 3258/221?
14
Which is smaller: -189339 or -1?
-189339
Which is greater: -953/18 or -52?
-52
Is 1004727 at most 1004728?
True
Which is bigger: 22 or 1449/67?
22
Is 315063/2 <= -9?
False
Is 0 at most as big as -327/563?
False
Which is bigger: 22351 or 31?
22351
Which is smaller: -0.06276 or -306?
-306
Which is smaller: -38 or 6398?
-38
Is 11683/17 at most 688?
True
Are 2678 and 55 non-equal?
True
Are -4734 and 4 nonequal?
True
Is -1.4 smaller than 2764?
True
Which is greater: 1 or -2/1862189?
1
Which is smaller: 20 or 3146/151?
20
Is 39 equal to 9914/251?
False
Is 109 equal to -9251?
False
Which is bigger: 1358 or 1341?
1358
Which is greater: 2732213 or 2732214?
2732214
Which is smaller: -1/101741 or -1?
-1
Which is smaller: 499 or -3087?
-3087
Is 6318 equal to 6219?
False
Which is smaller: -648 or -621?
-648
Which is bigger: 77 or 5644/73?
5644/73
Which is greater: 6851 or 6858?
6858
Does 221/8 = 29?
False
Is 4948 >= 4924?
True
Is 1 at most as big as 186/2753?
False
Which is smaller: -0.022158 or 2/33?
-0.022158
Which is smaller: -32971 or -6?
-32971
Is -0.14 at least -39853?
True
Which is greater: -4 or 5356?
5356
Which is smaller: 4202 or -0.033?
-0.033
Which is bigger: 52638 or 315829/6?
315829/6
Is -3275 at least -26193/8?
False
Is 0.1 at most 3852?
True
Is -14960 <= -14723?
True
Which is smaller: 0.6 or -1669?
-1669
Which is smaller: -36.22 or 8?
-36.22
Is 5802 <= 5922?
True
Which is smaller: -25991 or 1/4?
-25991
Is 186/20849 equal to 1?
False
Do -34484 and -34450 have different values?
True
Are 4 and 1383/484 nonequal?
True
Which is smaller: 77345/121 or 639?
639
Is -3497 equal to -3522?
False
Which is smaller: -1 or -64/331?
-1
Which is greater: -51008/5 or -10203?
-51008/5
Is 12930 != -11?
True
Is 2 smaller than 3688/1247?
True
Which is bigger: 23013 or -24?
23013
Which is greater: -37492 or 1?
1
Which is smaller: 4360 or 4352?
4352
Is 7/156055 < 0?
False
Which is smaller: 32884 or 32879?
32879
Are 0.8 and 461/19 non-equal?
True
Which is bigger: 51 or -12279?
51
Which is smaller: 2864/9 or 1?
1
Which is bigger: -1 or 21405?
21405
Which is bigger: 10005 or 70029/7?
10005
Which is smaller: -2061 or -10301/5?
-2061
Which is smaller: 48149 or 529635/11?
529635/11
Is -1 greater than or equal to -3/2449?
False
Is -1 at most as big as -3/6083?
True
Is 35130 smaller than 210781/6?
True
Is -255585 >= -255585?
True
Is 0 < -0.213886?
False
Are -541/29 and -20 equal?
False
Which is smaller: -2773345 or -2773346?
-2773346
Which is bigger: -5/228256 or 1?
1
Which is smaller: 378309 or 378308?
378308
Is 294 at most as big as 7?
False
Which is bigger: -12.4 or -7/50?
-7/50
Is -305194 > 1?
False
Which is greater: 63/135194 or 0?
63/135194
Which is bigger: -375/296 or -2?
-375/296
Are -8218 and -8171 equal?
False
Which is bigger: -5223 or -5237?
-5223
Which is smaller: -2378777 or -4757551/2?
-2378777
Is -34403/2 at least as big as -17203?
True
Which is greater: 0 or 11/161927?
11/161927
Which is smaller: 0.05 or -5/3078?
-5/3078
Which is bigger: -3/196 or -10/9?
-3/196
Is 30267 >= 30333?
False
Is 126607 smaller than 126607?
False
Which is smaller: 870836 or 870838?
870836
Do 1734 and 1734 have the same value?
True
Which is smaller: 3903/136 or 28?
28
Which is greater: -180671/31 or -5827?
-5827
Is -1/3692319 greater than or equal to 1?
False
Is -4125205 at least as big as -4125207?
True
Is 4523/11 equal to -0.2?
False
Is -18147 at least as big as -308497/17?
False
Which is smaller: 1 or 158/601?
158/601
Which is smaller: 305 or -37/3?
-37/3
Which is smaller: 208248 or 208247?
208247
Is -74/23907 greater than 0?
False
Which is smaller: 47749 or 47834?
47749
Do -24968 and -0.075 have different values?
True
Is -45780 greater than -45796?
True
Is 145/79 bigger than -1?
True
Do 2/11285 and -37 have different values?
True
Which is smaller: -1/19624 or -0.02?
-0.02
Which is smaller: -93/515 or 0?
-93/515
Does 1283379 = 1283376?
False
Which is greater: 0 or 2700/6749?
2700/6749
Is 240240/223 less than 1078?
True
Is 505799 at most as big as 6?
False
Which is smaller: 39/2117 or -1?
-1
Is 109707 != -3?
True
Is 0 >= -2/6503693?
True
Which is smaller: 0 or -3/5876332?
-3/5876332
Is -4801 > -4715?
False
Which is smaller: 182994 or 1280955/7?
1280955/7
Which is greater: 952 or 839?
952
Which is smaller: 3/6854081 or -1?
-1
Which is greater: -2/2038643 or 0?
0
Is 0.43 smaller than 3891?
True
Is 1 at least -4/4843423?
True
Is -79647 less than -557523/7?
True
Which is smaller: -0.209 or 2203?
-0.209
Which is bigger: 20417 or 20205?
20417
Is -1963 less than -1690?
True
Does -1 = -32941.5?
False
Is 391/10476 < 1?
True
Are -629 and 56 unequal?
True
Which is bigger: -60 or -12216/203?
-60
Are 4820687 and 0 equal?
False
Which is smaller: 0.22 or 327?
0.22
Is 461641/16 < 28854?
True
Which is greater: 221/1337 or 0?
221/1337
Is 4/17939 > 1?
False
Which is smaller: -74527 or -74526?
-74527
Which is smaller: 15.329 or -51?
-51
Which is greater: -117071 or -234139/2?
-234139/2
Is -8/15333 > -1?
True
Is 101617/3 at least 33873?
False
Is 745 >= -90?
True
Do 59/160 and 2 have the same value?
False
Which is bigger: 1481 or 201?
1481
Which is bigger: -2563/227 or -11?
-11
Are -1 and -38/3375 non-equal?
True
Which is smaller: 1 or 116/1291?
116/1291
Which is greater: -6 or -13758?
-6
Is 69/4 not equal to -7/3?
True
Which is smaller: -8510/13 or -654?
-8510/13
Is -34 at most -19504/569?
False
Are 842226 and 842220 nonequal?
True
Which is smaller: -828448 or -828450?
-828450
Is 186 at most -42?
False
Is -1 > -525/2749?
False
Which is greater: 5940/13 or -1/4?
5940/13
Which is smaller: -1/2 or -80669?
-80669
Which is bigger: -404900 or -404904?
-404900
Which is smaller: 29/23271 or 1?
29/23271
Which is greater: -1.07766 or -0.1?
-0.1
Does -829 = -845?
False
Which is bigger: -717/4 or 198?
198
Which is bigger: -7628 or -114398/15?
-114398/15
Which is smaller: 8795/113 or 79?
8795/113
Is 168 <= -111?
False
Is 2/113319 greater than 3?
False
Is -8 equal to -3301?
False
Is 1 less than 662728?
True
Which is smaller: -53/5920 or -1?
-1
Which is smaller: -4/7 or -7/323?
-4/7
Which is greater: -33.9 or -8537?
-33.9
Is -5382/341 < -1/6?
True
Is 2/7 bigger than 0.0499107?
True
Which is bigger: 0.3 or -948.5?
0.3
Is 0 greater than 5.571346?
False
Which is bigger: 30472/45 or 677?
30472/45
Is -4 > -2252/465?
True
Is 7/6877 at least -1?
True
Which is greater: 14 or 4279/281?
4279/281
Is -26 > 0.0772?
False
Is 6/76381 greater than or equal to 0?
True
Which is smaller: -1 or -15/6892?
-1
Which is smaller: 431 or -1434?
-1434
Which is greater: 11562/37 or 313?
313
Do 3714 and 3714 have the same value?
True
Which is greater: 2873/50 or 56?
2873/50
Which is bigger: 197490 or 197492?
197492
Are -16689 and -16665 nonequal?
True
Which is smaller: -911675 or 2?
-911675
Is -478141 greater than -478143?
True
Which is greater: -1/3 or -8141.2?
-1/3
Which is smaller: 35412 or 1.6?
1.6
Is 91 at most -2691?
False
Is 8/2219 at most as big as 1?
True
Is -319574 greater than or equal to -319572?
False
Which is smaller: -12370 or -61854/5?
-61854/5
Is 10275 bigger than 10277?
False
Is 341/4 greater than -0.03?
True
Which is smaller: -390 or -4/603?
-390
Which is bigger: -0.02358 or 3/2?
3/2
Is 1 at least 1/10217?
True
Are 6931/15 and 463 unequal?
True
Is -3 less than or equal to -0.0091?
True
Which is bigger: 0 or -7198?
0
Is 40427 at least 40411?
True
Which is greater: -5657 or -29/4?
-29/4
Which is smaller: -31074 or -31072?
-31074
Which is smaller: -6146 or -43016/7?
-6146
Are -8043/23 and -351 equal?
False
Is 1 <= 398/873?
False
Which is smaller: 62636 or 62637?
62636
Is 293521 < 293521?
False
Which is smaller: -7198 or -7200?
-7200
Are 1 and -11/103739 nonequal?
True
Is 41589 < 41573?
False
Is -6474 less than or equal to 0.01?
True
Which is bigger: 42623 or 42624?
42624
Are -788 and -805 equal?
False
Which is smaller: 6261978 or 6261979?
6261978
Is -1 at most -17/52703?
True
Which is smaller: -1111/78 or -13?
-1111/78
Are 1 and 563705 equal?
False
Which is smaller: 1 or -3/745154?
-3/745154
Which is gr