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]


SUDATUMK2DR - Kirchhoff datuming of receivers for 2D prestack data	
		(shot gathers are the input)				

    sudatumk2dr  infile=  outfile=  [parameters] 			

 Required parameters:							
 infile=stdin		file for input seismic traces			
 outfile=stdout	file for common offset migration output  	
 ttfile=		file for input traveltime tables		
   The following 9 parameters describe traveltime tables:		
 fzt= 			first depth sample in traveltime table		
 nzt= 			number of depth samples in traveltime table	
 dzt=			depth interval in traveltime table		
 fxt=			first lateral sample in traveltime table	
 nxt=			number of lateral samples in traveltime table	
 dxt=			lateral interval in traveltime table		
 fs= 			x-coordinate of first source			
 ns= 			number of sources				
 ds= 			x-coordinate increment of sources		

 fxi=                  x-coordinate of the first surface location      
 dxi=                  horizontal spacing on surface                   
 nxi=                  number of input surface locations               
 sgn=			Sign of the datuming process (up=-1 or down=1)  

 Optional Parameters:							
 dt= or from header (dt) 	time sampling interval of input data	
 ft= or from header (ft) 	first time sample of input data		
 surf="0,0;99999,0"  The first surface defined the recording surface 
 surf="0,0;99999,0"  and the second one, the new datum.              
                       "x1,z1;x2,z2;x3,z3;...
 fzo=fzt		z-coordinate of first point in output trace 	
 dzo=0.2*dzt		vertical spacing of output trace 		
 nzo=5*(nzt-1)+1 	number of points in output trace		",	
 fxso=fxt		x-coordinate of first shot	 		
 dxso=0.5*dxt		shot horizontal spacing		 		
 nxso=2*(nxt-1)+1  	number of shots 				
 fxgo=fxt		x-coordinate of first receiver			
 dxgo=0.5*dxt		receiver horizontal spacing			
 nxgo=nxso		number of receivers per shot			
 fmax=0.25/dt		frequency-highcut for input traces		
 offmax=99999		maximum absolute offset allowed in migration 	
 aperx=nxt*dxt/2  	migration lateral aperature 			
 angmax=60		migration angle aperature from vertical 	
 v0=1500(m/s)		reference velocity value at surface		
 dvz=0.0  		reference velocity vertical gradient		
 antiali=1             Antialiase filter (no-filter = 0)               
 jpfile=stderr		job print file name 				
 mtr=100  		print verbal information at every mtr traces	
 ntr=100000		maximum number of input traces to be migrated	

 verbose=0		silent, =1 chatty				

 Notes:								
 1. Traveltime tables were generated by program rayt2d (or other ones)	
    on relatively coarse grids, with dimension ns*nxt*nzt. In the	
    datuming process, traveltimes are interpolated into shot/gephone 	
    positions and output grids.					
 2. Input traces must be SU format and organized in common rec. gathers
 3. If the offset value of an input trace is not in the offset array 	
    of output, the nearest one in the array is chosen. 		
 4. Amplitudes are computed using the reference velocity profile, v(z),
    specified by the parameters v0= and dvz=.				
 5. Input traces must specify source and receiver positions via the header
    fields tr.sx and tr.gx. Offset is computed automatically.		


 Author:  Trino Salinas, 05/01/96,  Colorado School of Mines

 This code is based on sukzmig2d.c written by Zhenyue Liu, 03/01/95.
 Subroutines from Dave Hale's modeling library were adapted in
 this code to define topography using cubic splines.

 This code implements a Kirchhoff extraplolation operator that allows to
 transfer data from one reference surface to another.  The formula used in
 this application is a far field approximation of the Berryhill's original
 formula (Berryhill, 1979).  This equation is the result of a stationary
 phase analysis to get an analog asymptotic expansion for the two-and-one
 half dimensional extrapolation formula (Bleistein, 1984).

 The extrapolation formula permits the downward continuation of upgoing
 waves  and  upward  continuation  of  downgoing waves.  For upward conti-
 nuation of upgoing waves and downward continuation of downgoing waves,
 the conjugate transpose of the equation is used (Bevc, 1993).

 References :

 Berryhill, J.R., 1979, Wave equation datuming: Geophysics,
   44, 1329--1344.

 _______________, 1984, Wave equation datuming before stack
   (short note) : Geophysics, 49, 2064--2067.

 Bevc, D., 1993, Data parallel wave equation datuming with
   irregular acquisition topography :  63rd Ann. Internat.
   Mtg., SEG, Expanded Abstracts, 197--200.

 Bleistein, N., 1984, Mathematical methods for wave phenomena,
   Academic Press Inc. (Harcourt Brace Jovanovich Publishers),
   New York.