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]


-1347?
-1354
Is 3271 greater than 3274?
False
Is -70 < -4226/61?
True
Which is smaller: 2/41475 or 1?
2/41475
Which is bigger: 30965 or 30973?
30973
Is -7979/18 <= -442?
True
Is 0 at least as big as -39/19459?
True
Are 24424 and 24406 non-equal?
True
Is 1 < 371/6169?
False
Is 1/268821 < 1?
True
Which is bigger: -2717/29 or -95?
-2717/29
Which is greater: 31/39 or -1.4?
31/39
Which is smaller: -149614 or 16?
-149614
Which is greater: 180472 or 0?
180472
Which is smaller: 9307 or 9252?
9252
Is 14241 < 14?
False
Which is bigger: -11/16 or -22?
-11/16
Which is bigger: -26439 or -26310?
-26310
Is 10343 at most 10185?
False
Is 647532/11 not equal to 58868?
True
Which is bigger: 1/121 or -218?
1/121
Do -62549 and -8 have the same value?
False
Which is smaller: 1/1695638 or 0?
0
Is 7/565678 bigger than 1?
False
Which is smaller: 1/3 or -208432?
-208432
Is 28 at least 1340/49?
True
Which is bigger: 24396 or 170774/7?
170774/7
Which is smaller: 1 or 2/430337?
2/430337
Is -23.8 smaller than -408?
False
Is -64840/21 greater than or equal to -3088?
True
Which is bigger: 3 or -64809?
3
Which is greater: -160822 or -160818?
-160818
Is 4 at most 1265/422?
False
Is 55 smaller than -2002?
False
Which is bigger: 532849 or 532847?
532849
Is 18 < -10707?
False
Which is bigger: 60042 or 0?
60042
Which is smaller: 311/654 or 1?
311/654
Which is greater: 53395 or 53394?
53395
Which is smaller: -0.19 or -17/114?
-0.19
Which is bigger: 33/2494 or 0?
33/2494
Which is greater: 11 or -100166?
11
Is -12/29 < -7957?
False
Is -196 < 249?
True
Is 16228/7 >= 2319?
False
Which is smaller: 436 or 296?
296
Is 0 at most as big as 24706?
True
Which is bigger: 8313 or 8192?
8313
Do 0 and -57374 have the same value?
False
Is -3739/28 not equal to -135?
True
Which is smaller: 23 or -94366?
-94366
Is -3096/7 at most 4?
True
Are 1/4 and 122715 equal?
False
Which is greater: 7471 or -48?
7471
Which is greater: 3 or 6346?
6346
Is 22/5977 equal to -2/5?
False
Is -1243/23 > -54?
False
Which is smaller: -49761/2 or -24880?
-49761/2
Which is bigger: 2/3 or 63571?
63571
Which is greater: 45.9 or 516/11?
516/11
Are 2/764077 and -0.1 nonequal?
True
Which is smaller: -5.6 or -2274?
-2274
Is -252652 less than or equal to -252652?
True
Does -3852 = -3868?
False
Is 8/14409 >= -1?
True
Which is smaller: -700 or -5595/8?
-700
Does -1 = 1/6826043?
False
Is 1 at most as big as -147545?
False
Which is greater: -1 or -2/99591?
-2/99591
Which is bigger: 261 or -2663?
261
Which is bigger: -71831/5 or -14365?
-14365
Are 55 and 10/23 equal?
False
Which is greater: -2933 or 12?
12
Is 103680 less than 103684?
True
Is 1/5950 >= -1?
True
Which is greater: -4 or 1/20427?
1/20427
Which is smaller: -311782 or -311780?
-311782
Is -88772 bigger than -88774?
True
Is 309 bigger than 17965/58?
False
Does 9912 = 9914?
False
Which is smaller: -24596 or 1?
-24596
Are -1 and 923319 unequal?
True
Which is smaller: 152.25 or -2/521?
-2/521
Which is greater: 937393 or 937388?
937393
Is -1 > -13/1438?
False
Is 541/79 greater than 7?
False
Which is bigger: -9 or -1310/121?
-9
Which is smaller: 33065/27 or 1226?
33065/27
Is 0 smaller than 5/61846?
True
Do 2/241955 and -1 have the same value?
False
Which is smaller: 0 or 5/37349?
0
Which is smaller: -917665/3 or -305888?
-917665/3
Which is greater: -592 or -20?
-20
Is 1 bigger than 46/6099?
True
Which is greater: -5/903 or -42?
-5/903
Which is smaller: 6/337229 or 0?
0
Are 870304 and 1 unequal?
True
Is 6699 != 6703?
True
Is -1 smaller than 719?
True
Which is greater: -1447561 or -1447562?
-1447561
Do -43 and -13766/315 have the same value?
False
Which is smaller: 482878/7 or -1?
-1
Which is greater: 5/871518 or 0?
5/871518
Do -2 and -295/541 have different values?
True
Are -2010896 and -2010894 unequal?
True
Which is smaller: 10477 or 10470?
10470
Is -0.04 greater than or equal to 0.0262?
False
Is 1.2 bigger than -213492?
True
Which is smaller: 703 or 18946/27?
18946/27
Are -93718 and -93716 unequal?
True
Which is greater: 69066 or 69067?
69067
Which is greater: -1 or -433.61?
-1
Is 3837/290 smaller than 12?
False
Are 3 and 435/268 unequal?
True
Is 1 at least as big as -5/647024?
True
Which is smaller: 0 or -13/132309?
-13/132309
Is 468 > 10269/22?
True
Which is smaller: -3765 or -3774?
-3774
Is -19769/5 bigger than -3953?
False
Is 6/4889 smaller than 1.42?
True
Which is smaller: 58 or 3/1126?
3/1126
Which is smaller: -1852 or -7.9?
-1852
Which is bigger: 10.6 or 58/7?
10.6
Are 0 and -8/11255 unequal?
True
Is 10266/37 greater than or equal to 278?
False
Which is greater: -5/79656 or 0?
0
Do -521180 and 0.4 have the same value?
False
Which is greater: 2/19 or 5437?
5437
Are 889640 and 889640 nonequal?
False
Which is smaller: -1730093 or -1730095?
-1730095
Is 0.5 greater than 559.06?
False
Are -150207 and -150208 equal?
False
Is 18786 greater than 18786?
False
Is -0.4 less than or equal to -17357?
False
Which is smaller: 58895 or 58893?
58893
Is 136160 <= 136153?
False
Which is bigger: -3/16 or -838?
-3/16
Which is smaller: -1156 or -1260?
-1260
Which is smaller: -49779 or -0.2?
-49779
Which is bigger: -314 or 206?
206
Is -2.042 bigger than -258?
True
Is 11788 less than or equal to 11806?
True
Is 14 > -1/8852?
True
Which is bigger: 1118/2427 or 1?
1
Which is bigger: 4/50827 or -1?
4/50827
Which is bigger: -167 or 0.108?
0.108
Is -4793924 less than -4793925?
False
Is -1 > 3/228076?
False
Which is smaller: 4 or 763/165?
4
Which is greater: -1931 or -730?
-730
Is 22 >= 4079/179?
False
Which is bigger: -0.059591 or -0.4?
-0.059591
Is 0 at least 2/935025?
False
Which is smaller: 2/53 or -172?
-172
Which is smaller: -8/4647 or 1?
-8/4647
Is 9531 <= 66720/7?
True
Is -3/139 < -84?
False
Does -3/31640 = -1?
False
Which is smaller: -73 or 30296?
-73
Do -4 and 816 have different values?
True
Which is bigger: -375/322 or 0?
0
Which is greater: 0 or 906/1469?
906/1469
Which is bigger: -35657 or -35660?
-35657
Which is smaller: 6 or 2363?
6
Which is greater: -2570723 or -2570722?
-2570722
Is 38468 at least as big as 38465?
True
Is 13/6 at least as big as -0.0151?
True
Is 2/16117 greater than 0.1?
False
Is 0 bigger than 40/369?
False
Which is greater: -31042/3 or -10348?
-31042/3
Which is smaller: -2 or 1/14210?
-2
Which is smaller: 839687 or 5877806/7?
5877806/7
Which is bigger: -77 or -1306/17?
-1306/17
Is 0 at most -771842?
False
Do -1045 and 263 have different values?
True
Which is smaller: -98669 or -296006/3?
-98669
Which is greater: 0.1 or 0.060822?
0.1
Which is bigger: 1321 or -0.012?
1321
Is 11/5 < 152/13?
True
Which is smaller: 8725774 or 8725773?
8725773
Is 1/57 bigger than 862?
False
Which is greater: 90922 or 90921?
90922
Which is greater: -10.18 or -4.04?
-4.04
Is -128953/6 < -21492?
True
Which is bigger: 91116 or 91114?
91116
Which is smaller: 240 or 12312?
240
Is -94378 at least as big as -0.1?
False
Is -2/72319 >= 1?
False
Is -3149 less than or equal to -343?
True
Which is bigger: 117 or -2506?
117
Which is smaller: 29222 or 58443/2?
58443/2
Is -37 at most -3268?
False
Is 2.827 > -0.8?
True
Is 3/525553 smaller than 0?
False
Which is smaller: -53/11502 or 0?
-53/11502
Which is bigger: -720 or -755?
-720
Which is smaller: 5/628967 or 1?
5/628967
Which is smaller: 71 or 78?
71
Are -7/3670 and 1 equal?
False
Which is greater: 3415 or 3412?
3415
Is -1637/1239 less than 0?
True
Which is bigger: 2547/269 or 8?
2547/269
Which is greater: 1/93804 or 1?
1
Is -39555/2 < -19777?
True
Is 0 equal to -493/694?
False
Is -1/50 bigger than -7?
True
Which is smaller: 19806/37 or 536?
19806/37
Is 8 > -15379?
True
Which is smaller: -0.2 or 152355?
-0.2
Which is smaller: 467 or 70736/151?
467
Which is smaller: -0.08 or -0.0210438?
-0.08
Is 3152 greater than or equal to 3140?
True
Which is smaller: -1913/4 or -5/3?
-1913/4
Which is greater: -1 or -791/340?
-1
Are 119869 and 119865 equal?
False
Is -17163 >= -17163?
True
Is -1/33504 <= -1?
False
Is 10195 greater than or equal to 10257?
False
Is -22/103061 > -1?
True
Which is greater: -171694 or -171671?
-171671
Is 10912 >= 10919?
False
Are 1 and -2/46307 non-equal?
True
Is -1 less than -56854?
False
Is 30665 greater than or equal to 30665?
True
Are -18/25 and -104.4 nonequal?
True
Which is bigger: 1 or -158304?
1
Is -3568524 != -3568523?
True
Which is