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]


e 3, what is -10 - 1121?
-1201
In base 10, what is -1 + -7?
-8
In base 10, what is -116 + -9?
-125
In base 8, what is 53 - 24?
27
In base 9, what is -7 + 228?
221
In base 13, what is -3 - -1ca?
1c7
In base 8, what is -2266 - -4?
-2262
In base 7, what is -5 + -226?
-234
In base 13, what is -2 + -10?
-12
In base 11, what is 1576 - -4?
157a
In base 2, what is 1 + 1101101001?
1101101010
In base 14, what is 13 + -68?
-55
In base 16, what is -97c - -5?
-977
In base 14, what is 12a + -3?
127
In base 16, what is -157 + 14?
-143
In base 12, what is 38 + -61?
-25
In base 9, what is 852 + -11?
841
In base 2, what is 110 + -1100?
-110
In base 4, what is -12210 - -12?
-12132
In base 9, what is 0 + 27?
27
In base 8, what is 706 + 0?
706
In base 5, what is 211 + 3?
214
In base 3, what is 11020 + -11?
11002
In base 6, what is 1453 + 4?
1501
In base 2, what is 0 + 100001001?
100001001
In base 15, what is -4 - 2?
-6
In base 2, what is 100 + -111100?
-111000
In base 8, what is 10330 - 1?
10327
In base 2, what is -10111100 + 1001?
-10110011
In base 8, what is 0 + 141?
141
In base 11, what is -1 + -5346?
-5347
In base 9, what is -782 + -8?
-801
In base 12, what is -5 - -5a?
55
In base 12, what is 11 + 100?
111
In base 5, what is 10 + -1131?
-1121
In base 3, what is 20121 + -12?
20102
In base 13, what is 27 + a?
34
In base 13, what is -5 - 196b?
-1973
In base 8, what is -360 + 4?
-354
In base 2, what is -10001101110000111 + 10?
-10001101110000101
In base 8, what is 1244 - 2?
1242
In base 2, what is 111100 + 1110?
1001010
In base 11, what is 18 - -327?
344
In base 11, what is 43 - -1?
44
In base 7, what is 1 + 12262?
12263
In base 16, what is 8 - 4?
4
In base 5, what is 10 - 3004?
-2444
In base 14, what is 4 - 1d7?
-1d3
In base 2, what is 1110101 + 10?
1110111
In base 14, what is -5 - 2a7?
-2ac
In base 3, what is -2 + -1101?
-1110
In base 4, what is 11 + 13320?
13331
In base 9, what is 0 - -15?
15
In base 12, what is -5 + -333?
-338
In base 4, what is 12 + 22300?
22312
In base 10, what is 5 - -9?
14
In base 16, what is -1 - -fe?
fd
In base 12, what is 7228 + -5?
7223
In base 3, what is 20 - -112?
202
In base 11, what is -4 + 48?
44
In base 14, what is 8 - 8?
0
In base 10, what is 1670 - 5?
1665
In base 5, what is 10331 - -4?
10340
In base 13, what is 6 - 11?
-8
In base 6, what is 4 + 2211?
2215
In base 13, what is -b165 + 3?
-b162
In base 5, what is 102 - 133?
-31
In base 2, what is -11100110111101 + 1?
-11100110111100
In base 8, what is -166 + 31?
-135
In base 7, what is 15 + 104?
122
In base 15, what is -2d2 - 13?
-2e5
In base 8, what is 2207 - 5?
2202
In base 15, what is 27 - 31?
-9
In base 13, what is -12 + -43?
-55
In base 12, what is -13 - 24?
-37
In base 2, what is -101 + -1?
-110
In base 5, what is -2 - -1120?
1113
In base 13, what is 21 - -17?
38
In base 2, what is -1 + -100010?
-100011
In base 14, what is 139 + -1?
138
In base 3, what is 1 - -12000?
12001
In base 8, what is -2 - 3?
-5
In base 6, what is -2542 - -3?
-2535
In base 4, what is 20 - -31?
111
In base 3, what is 1 + 11201?
11202
In base 12, what is 78a + 6?
794
In base 4, what is -1330323 - 10?
-1330333
In base 10, what is -3 - -125?
122
In base 7, what is 1655 + 1?
1656
In base 11, what is 5 + -127?
-122
In base 9, what is -1 - -420?
418
In base 8, what is 224 - 33?
171
In base 3, what is -211 + 210?
-1
In base 15, what is 3 - -1b40?
1b43
In base 11, what is 9104 - 1?
9103
In base 16, what is -35 - 55?
-8a
In base 8, what is -64 - -5?
-57
In base 12, what is 5 + 2709?
2712
In base 12, what is 5 - -18a8?
18b1
In base 2, what is -100 - -110010?
101110
In base 9, what is 2067 + 2?
2070
In base 16, what is c50 + 5?
c55
In base 5, what is 10212 - -3?
10220
In base 5, what is -14 - 2010?
-2024
In base 9, what is -155 + 5?
-150
In base 7, what is 2 + -12664?
-12662
In base 14, what is a + b?
17
In base 5, what is 3 + 42?
100
In base 6, what is 51213 - -2?
51215
In base 13, what is -1 - -165?
164
In base 16, what is 4 - -34?
38
In base 8, what is -12074 - -5?
-12067
In base 16, what is c - -f?
1b
In base 15, what is -2e7 + 2?
-2e5
In base 3, what is 1010211 + -10?
1010201
In base 12, what is 3 + 79?
80
In base 3, what is 2 - -102101202?
102101211
In base 14, what is 3 - aa3?
-aa0
In base 12, what is 330 + 4?
334
In base 10, what is 5 - -9?
14
In base 10, what is -8 + -2541?
-2549
In base 8, what is -2 + 1012?
1010
In base 8, what is 20 - -3?
23
In base 15, what is -9a - 58?
-103
In base 2, what is 101000011111 + 100?
101000100011
In base 11, what is -21 - -5?
-17
In base 9, what is -41670 - 5?
-41675
In base 7, what is 4211 - -2?
4213
In base 11, what is -45 - -121?
87
In base 12, what is 4b + 56?
a5
In base 12, what is -9 + 3?
-6
In base 12, what is 5 - 66?
-61
In base 14, what is a2 + 5?
a7
In base 14, what is -3 + 37b?
378
In base 9, what is -13 - -54?
41
In base 4, what is -10 + -2200?
-2210
In base 10, what is -192 - 3?
-195
In base 16, what is 13c + -5?
137
In base 14, what is -7b + 19?
-62
In base 6, what is -13 - 5101?
-5114
In base 15, what is 4e2 - -2?
4e4
In base 2, what is -100111 + -1010110?
-1111101
In base 6, what is -44 - -14?
-30
In base 6, what is 4 + -1240?
-1232
In base 13, what is 746 + 0?
746
In base 10, what is -4 - 4?
-8
In base 8, what is -134 + -12?
-146
In base 13, what is 289 - -2?
28b
In base 16, what is 2 - 864?
-862
In base 12, what is 72 - -4?
76
In base 9, what is -3765 - 4?
-3770
In base 8, what is 375 + 0?
375
In base 5, what is 4 - 2?
2
In base 10, what is -146 - -5?
-141
In base 7, what is 30 + -52?
-22
In base 3, what is 0 - 122?
-122
In base 10, what is -4 - -2?
-2
In base 16, what is 18 + 71?
89
In base 4, what is -10331 + 1?
-10330
In base 3, what is -11 - -221?
210
In base 3, what is 10 + -2001121?
-2001111
In base 9, what is -2 + -215?
-217
In base 11, what is 173 - 1?
172
In base 12, what is 57 + -60?
-5
In base 15, what is -1 + -567?
-568
In base 7, what is -121 + 22?
-66
In base 12, what is 23 + 31b?
342
In base 3, what is 100111 + 10?
100121
In base 9, what is -50 + 4?
-45
In base 10, what is -82 + 187?
105
In base 13, what is -a - -1586?
1579
In base 11, what is 220 + 33?
253
In base 15, what is -a7 - -4?
-a3
In base 15, what is 4 + 309?
30d
In base 5, what is -22 - -3041?
3014
In base 13, what is a4 - 4?
a0
In base 5, what is -302303 - 10?
-302313
In base 10, what is -22 + 1?
-21
In base 16, what is -4a + -11?
-5b
In base 12, what is 10b - -3?
112
In base 16, what is 5 + -ea?
-e5
In base 11, what is 35 - -87?
111
In base 16, what is 3009 + -2?
3007
In base 7, what is -351 - -4?
-344
In base 4, what is -313 + 33?
-220
In base 8, what is 515 - -4?
521
In base 7, what is -102 - -10?
-62
In base 2, what is 111 + 100001?
101000
In base 14, what is 57 - -66?
bd
In base 4, what is 11 - -2110?
2121
In base 16, what is 6cd - -3?
6d0
In base 10, what is 3 - 948?
-945
In base 8, what is -3 + -120?
-123
In base 3, what is 0 - -1002011?
1002011
In base 13, what is -8 + 5?
-3
In base 8, what is -55 + 4?
-51
In base 3, what is 2 - 11111002?
-11111000
In base 16, what is 8 - -1?
9
In base 4, what is 10 - 213?
-203
In base 3, what is 11210 + 120?
12100
In base 5, what is -2 + -11?
-13
In base 9, what is -121 - -2?
-118
In base 6, what is 2 - 12?
-10
In base 7, what is -41 + -6?
-50
In base 4, what is 11 + 3?
20
In base 4, what is -101231 - -12?
-101213
In base 14, what is -5 + -72?
-77
In base 5, what is -4 - 303?
-312
In base 3, what is -101102 - 1?
-101110
In base 16, what is 1 - -68?
69
In base 3, what is -212 - 1012?
-2001
In base 14, what is 0 + a?
a
In base 16, what is 16 + 1b2?
1c8
In base 14, what is 165 - -4?
169
In base 7, what is -1001 + 205?
-463
In base 2, what is 1100 + 1000?
10100
In base 8, what is 1 - 2?
-1
In base 8, what is 1 - -7272?
7273
In base 4, what is -2 + 1203?
1201
In base 10, what is 0 + 49?
49
In base 10, what is -1 + 44?
43
In base 11, what is -4 - 122?
-126
In base 12, what is -1 + -a?
-b
In base 6, what is -1 - 33?
-34
In base 16, what is -4 + 30?
2c
In base 3, what is 0 - 21?
-21
In base 10, what is 70 + -115?
-45
In base 12, what is -3 + -161?
-164
In base 5, what is -2 + 212?
210
In base 9, what is -653 - 32?
-685
In base 13, what is -17a - -2?
-178
In base 11, what is -1 - 9?
-a
In base 5, what is -4 - -13?
4
In base 2, what is 10