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]


% Definition of float context "class"

/context-add-absolute-positioned { % => Box Context
  dup /AbsolutePositioned get      % => Box Context AB
  2 index exch
  array-prepend                    % => Box Context AB'
  /AbsolutePositioned exch put     % => Box
  pop
} def

/context-add-fixed-positioned { % => Box Context
  dup /FixedPositioned get      % => Box Context AB
  2 index exch
  array-prepend                    % => Box Context AB'
  /FixedPositioned exch put     % => Box
  pop
} def

/context-add-float {               % => Float Context
  dup /Floats get                  % => Float Context Floats
  dup 0 get                        % => Float Context Floats Floats[0]
  3 index exch array-prepend       % => Float Context Floats Floats[0]'
  0 exch put                       % => Float Context 
  pop pop 
} def

/context-container-uid {           % => Context
  /ContainerUID get 0 get
} def

/context-create {                  % =>
  <<
    /ContainerUID [1]
    /AbsolutePositioned []
    /FixedPositioned []
    /Floats [[]]
    /Margin [0 0]
    /Viewport []
  >>
} def

% Find the minimal X at the given Y coordinate suitable for float placement
%
/context-float-left-x {            % => Y X Context
  3 copy dup 
  context-floats                   % => Y X Context Y X Context Floats
  context-float-left-x-rec         % => Y X Context X
  
% Clear the stack
  exch pop
  exch pop
  exch pop
} def

/context-float-left-x-rec {        % => Y X Context Floats
  dup length 0 gt {
    dup 0 get                      % => Y X Context Floats Float

    dup /float get-css-value
    /left eq {
    
% Check if this float contains given Y-coordinate
%
% Note that top margin coordinate is inclusive but 
% bottom margin coordinate is exclusive! The cause is following:
% - if we have several floats in one line, their top margin edge Y coordinates will be equal,
%   so we must use agreater or equal sign to avod placing all floats at one X coordinate
% - on the other side, if we place one float under the other, the top margin Y coordinate 
%   of bottom float will be equal to bottom margin Y coordinate of the top float and 
%   we should NOT offset tho bottom float in this case

      dup get-top-margin             % => Y X Context Floats Float FTM
      rounding-epsilon add
      5 index                        % => Y X Context Floats Float FTM Y
      ge                             % => Y X Context Floats Float FTM>=Y

      1 index get-bottom-margin      % => Y X Context Floats Float FTM>=Y FBM
      6 index                        % => Y X Context Floats Float FTM>=Y FBM Y
      lt                             % => Y X Context Floats Float FTM>=Y FBM<Y

      and {                          % => Y X Context Floats Float
        dup get-right-margin         % => Y X Context Floats Float FRM
        4 index max                  % => Y X Context Floats Float X'=MAX(FRM,X)
        exch pop                     % => Y X Context Floats X'
        4 3 roll pop                 % => Y Context Floats X'
        3 1 roll                     % => Y X' Context Floats
        array-pop-first
        context-float-left-x-rec     % => X
      } {
        pop
        array-pop-first
        context-float-left-x-rec
      } ifelse
    } {
      pop
      array-pop-first
      context-float-left-x-rec
    } ifelse
  } {
% no more floats
    pop pop exch pop
  } ifelse
} def                              % => X

% Calculates position of left floating box (taking into account the possibility 
% of "wrapping" float to next line in case we have not enough space at current level (Y coordinate)
%
% @param parent reference to a parent box
% @param width width of float being placed. Full width! so, extra horizontal space (padding, margins and borders) is added here too
% @param $y Starting Y-coordinate 
% @return X X coordinate of float upper-left corner
% @return Y Y coordinate of float upper-left corner
%
/context-float-left-xy {           % => Parent Width Y Context
% Prepare information about the float bottom corrdinates
  dup context-floats               % => Parent Width Y Context Floats
  make-sorted-bottom-y-list        % => Parent Width Y Context FloatBottoms

  context-float-left-xy-rec        % => Y X
} def                              % => Y X

/context-float-left-xy-rec {       % => Parent Width Y Context FloatBottoms
  4 index get-left
  3 index                          % => Parent Width Y Context FloatBottoms X Y
  exch                             % => Parent Width Y Context FloatBottoms Y X
  3 index
  context-float-left-x             % => Parent Width Y Context FloatBottoms X

% Check if current float will fit into the parent box
  dup 5 index add                  % => Parent Width Y Context FloatBottoms X FloatRight
  6 index get-right
  rounding-epsilon add
  le {                             % => Parent Width Y Context FloatBottoms X 
% will fit
    exch pop                       % => Parent Width Y Context X
    exch pop                       % => Parent Width Y X
    4 2 roll                       % => Y X Parent Width
    pop pop exch                   % => X Y
  } {
    pop                            % => Parent Width Y Context FloatBottoms
% Check if all floats have been already cleared
    dup length 0 eq {
% All floats are cleared; fall back to the leftmost X coordinate
      pop pop exch pop             % => Parent Y
      exch                         % => Y Parent
      get-left exch                % => X Y
    } {
% No, float does not fit at current level, let's try to 'clear' some previous floats
      dup 0 get                    % => Parent Width Y Context FloatBottoms Bottom0
      3 index min                  % => Parent Width Y Context FloatBottoms Y'
      4 3 roll pop                 % => Parent Width Context FloatBottoms Y'
      3 1 roll
      array-pop-first              % => Parent Width Y' Context FloatBottoms'
      context-float-left-xy-rec    % => X Y
    } ifelse
  } ifelse
} def                              % => X Y

% Find the minimal X at the given Y coordinate suitable for float placement
%
/context-float-right-x {           % => Y X Context
  3 copy dup
  context-floats                   % => Y X Context Y X Context Floats
  context-float-right-x-rec        % => Y X Context X
  
% Clear the stack
  exch pop
  exch pop
  exch pop
} def

/context-float-right-x-rec {       % => Y X Context Floats
  dup length 0 gt {
    dup 0 get                      % => Y X Context Floats Float

    dup /float get-css-value
    /right eq {

% Check if this float contains given Y-coordinate
%
% Note that top margin coordinate is inclusive but 
% bottom margin coordinate is exclusive! The cause is following:
% - if we have several floats in one line, their top margin edge Y coordinates will be equal,
%   so we must use agreater or equal sign to avod placing all floats at one X coordinate
% - on the other side, if we place one float under the other, the top margin Y coordinate 
%   of bottom float will be equal to bottom margin Y coordinate of the top float and 
%   we should NOT offset tho bottom float in this case

      dup get-top-margin             % => Y X Context Floats Float FTM
      rounding-epsilon add
      5 index                        % => Y X Context Floats Float FTM Y
      ge                             % => Y X Context Floats Float FTM>=Y

      1 index get-bottom-margin      % => Y X Context Floats Float FTM>=Y FBM
      6 index                        % => Y X Context Floats Float FTM>=Y FBM Y
      lt                             % => Y X Context Floats Float FTM>=Y FBM<Y

      and {                          % => Y X Context Floats Float
        dup get-left-margin          % => Y X Context Floats Float FRM
        4 index min                  % => Y X Context Floats Float X'=MAX(FRM,X)
        exch pop                     % => Y X Context Floats X'
        4 3 roll pop                 % => Y Context Floats X'
        3 1 roll                     % => Y X' Context Floats
        array-pop-first
        context-float-right-x-rec    % => X
      } {                            % => Y X Context Floats Float
        pop                          % => Y X Context Floats 
        array-pop-first
        context-float-right-x-rec    % => X
      } ifelse
    } {
      pop
      array-pop-first
      context-float-right-x-rec
    } ifelse
  } {
% no more floats
    pop pop exch pop
  } ifelse
} def                              % => X

% Calculates position of left floating box (taking into account the possibility 
% of "wrapping" float to next line in case we have not enough space at current level (Y coordinate)
%
% @param parent reference to a parent box
% @param width width of float being placed. Full width! so, extra horizontal space (padding, margins and borders) is added here too
% @param $y Starting Y-coordinate 
% @return X X coordinate of float upper-left corner
% @return Y Y coordinate of float upper-left corner
%
/context-float-right-xy {          % => Parent Width Y Context
% Prepare information about the float bottom corrdinates
  dup context-floats               % => Parent Width Y Context Floats
  make-sorted-bottom-y-list        % => Parent Width Y Context FloatBottoms

  context-float-right-xy-rec       % => X Y
} def                              % => X Y

/context-float-right-xy-rec {      % => Parent Width Y Context FloatBottoms
  4 index get-right
  3 index                          % => Parent Width Y Context FloatBottoms X Y
  exch
  3 index 
  context-float-right-x            % => Parent Width Y Context FloatBottoms X

% Check if current float will fit into the parent box
  dup                              % => Parent Width Y Context FloatBottoms X X
  6 index get-right               
  rounding-epsilon add             % => Parent Width Y Context FloatBottoms X X FRight
  le {                             % => Parent Width Y Context FloatBottoms X 
% will fit
    exch pop exch pop              % => Parent Width Y X
    4 2 roll                       % => Y X Parent Width
    pop pop exch                   % => X Y
  } {
    pop                            % => Parent Width Y Context FloatBottoms
% Check if all floats have been already cleared
    dup length 0 eq {
% All floats are cleared; fall back to the leftmost X coordinate
      pop pop exch pop             % => Parent Y
      exch                         % => Y Parent
      get-left exch                % => X Y
    } {
% No, float does not fit at current level, let's try to 'clear' some previous floats
      dup 0 get                    % => Parent Width Y Context FloatBottoms Bottom0
      3 index min                  % => Parent Width Y Context FloatBottoms Y'
      4 3 roll pop                 % => Parent Width Context FloatBottoms Y'
      3 1 roll 
      array-pop-first              % => Parent Width Y' Context FloatBottoms'
      context-float-left-xy-rec    % => X Y
    } ifelse
  } ifelse
} def                              % => X Y

/context-floats {                  % => Context
  /Floats get 0 get
} def

/context-get-absolute-positioned { % => Context
  /AbsolutePositioned get   
} def

/context-get-collapsed-margin {    % => Context
  /Margin get 0 get
} def

/context-get-fixed-positioned { % => Context
  /FixedPositioned get   
} def

/context-get-viewport {            % => Context
  /Viewport get 0 get
} def

/context-point-in-floats {         % => Y X Context
  /null                            % => Y X Context /null
  1 index context-floats           % => Y X Context /null Floats
  {                                % => Y X Context /null Float
    4 index
    4 index
    2 index
    box-generic-contains-point-margin {        % => Y X Context /null Float
      exch pop
      exit                         % => Y X Context Float
    } if
    pop
  } forall                         % => Y X Context Float
    
  exch pop
  exch pop
  exch pop
} def

/context-pop {                     % => Context
  dup context-pop-collapsed-margin
  dup context-pop-floats
  pop
} def

/context-pop-collapsed-margin {    % => Context
  dup /Margin get                  % => Context CMT
  array-pop-first                  % => Context CMT'
  /Margin exch put                 % => 
} def

/context-pop-container-uid {       % => Context
  dup /ContainerUID get
  array-pop-first
  /ContainerUID exch put
} def

/context-pop-floats {              % => Context
  dup /Floats get
  array-pop-first
  /Floats exch put
} def

/context-pop-viewport {            % => Context
  dup /Viewport get
  array-pop-first                  % => Context Viewports
  /Viewport exch put               % =>
} def

/context-push {                    % => Context
  0 1 index context-push-collapsed-margin
  dup context-push-floats
  pop
} def

/context-push-collapsed-margin {   % => Value Context
  dup /Margin get                  % => Value Context CMT
  2 index exch                     % => Value Content Value CMT
  array-append                     % => Value Context CMT'
  /Margin exch put                 % => Value
  pop
} def

/context-push-container-uid {      % => Uid Context
  dup /ContainerUID get            % => Uid Context UIDStack
  2 index exch array-append        % => Uid Context UIDStack'
  1 index exch
  /ContainerUID exch put
  pop pop
} def

/context-push-floats {             % => Context
  dup /Floats get
  [] exch array-append             % => Context Floats'
  /Floats exch                     % => Context /Floats Floats'
  put                              % => 
} def

/context-push-viewport {           % => Viewport Context
  dup /Viewport get                % => Viewport Context Viewports
  2 index exch array-append        % => Viewport Context Viewports'
  1 index exch /Viewport exch put  % => Viewport Context
  pop pop
} def

% helper utility
/make-sorted-bottom-y-list {       % => Boxes
  {
    get-bottom-margin
    exch array-prepend
  } exch
  [] exch
  reduce                           % => UnsortedBottomsYs

  { gt }                           % => UnsortedBottomsYs GtFun
  array-sort                       % => SortedBottomYs
} def

%%%%%%%%%%%%%%%%%%%%%

/empty-context {
  << /Floats [] /CollapsedMarginTop [0] >>
} def

/context-stack [ empty-context ] def

/push-context {
  empty-context
  context-stack
  array-append
  
  /context-stack exch def
} def

/pop-context {
  context-stack
  array-pop-first

  /context-stack exch def
} def

/context-current {
  context-stack 0 get
} def

/context-floats-bottom {           % => MaxValue
  { get-bottom-margin min } exch
  context-floats reduce
} def

/context-save-float {              % => Float
  context-current
  /Floats get

  array-append
  
  context-current exch
  /Floats exch
  put
} def

% Get the bottom edge coordinate of the bottommost float in 
% current formatting context
%
% @return /null in case of no floats exists in current context
% numeric coordinate value otherwise
% 
/context-float-bottom {            % =>
  context-floats
  dup length 0 gt {
    { get-bottom-margin min }
    exch
    dup 0 get get-bottom-margin
    exch
    reduce
  } {
    pop /null
  } ifelse
} def

% Get the right edge coordinate of the rightmost float in 
% current formatting context
%
% @return null in case of no floats exists in current context
% numeric coordinate value otherwise
% 
/context-float-right {             % =>
  context-floats
  dup length 0 gt {
    { get-right-margin min }
    exch
    dup 0 get get-right-margin
    exch
    reduce
  } {
    pop /null
  } ifelse
} def