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]


/**********************************************************************
 *
 * GEOS - Geometry Engine Open Source
 * http://geos.osgeo.org
 *
 * Copyright (C) 2001-2002 Vivid Solutions Inc.
 * Copyright (C) 2005-2006 Refractions Research Inc.
 * Copyright (C) 2019      Nicklas Larsson
 *
 * This is free software; you can redistribute and/or modify it under
 * the terms of the GNU Lesser General Public Licence as published
 * by the Free Software Foundation.
 * See the COPYING file for more information.
 *
 **********************************************************************/

#ifndef GEOS_NAMESPACES_H
#define GEOS_NAMESPACES_H

namespace geos {

/// \brief
/// Contains classes and interfaces implementing fundamental computational
/// geometry algorithms.
///
/// ### Robustness
///
/// Geometrical algorithms involve a combination of combinatorial and numerical
/// computation. As with all numerical computation using finite-precision
/// numbers, the algorithms chosen are susceptible to problems of robustness.
/// A robustness problem occurs when a numerical calculation produces an
/// incorrect answer for some inputs due to round-off errors.  Robustness
/// problems are especially serious in geometric computation, since they can
/// result in errors during topology building.
///
/// There are many approaches to dealing with the problem of robustness in
/// geometrical computation. Not surprisingly, most robust algorithms are
/// substantially more complex and less performant than the non-robust
/// versions. Fortunately, JTS is sensitive to robustness problems in only a
/// few key functions (such as line intersection and the point-in-polygon
/// test). There are efficient robust algorithms available for these
/// functions, and these algorithms are implemented in JTS.
///
/// ### Computational Performance
///
/// Runtime performance is an important consideration for a production-quality
/// implementation of geometric algorithms. The most computationally intensive
/// algorithm used in JTS is intersection detection. JTS methods need to
/// determine both all intersection between the line segments in a single
/// Geometry (self-intersection) and all intersections between the line
/// segments of two different Geometries.
///
/// The obvious naive algorithm for intersection detection (comparing every
/// segment with every other) has unacceptably slow performance. There is a
/// large literature of faster algorithms for intersection detection.
/// Unfortunately, many of them involve substantial code complexity. JTS tries
/// to balance code simplicity with performance gains. It uses some simple
/// techniques to produce substantial performance gains for common types of
/// input data.
///
/// ### Package Specification
///
/// - Java Topology Suite Technical Specifications
/// - <A HREF="http://www.opengis.org/techno/specs.htm">
///       OpenGIS Simple Features Specification for SQL</A>
    namespace algorithm { // geos::algorithm

    /// Classes to compute distance metrics between geometries.
    namespace distance {}

    /// Classes which determine the Location of points in geometries.
    namespace locate {}
} // namespace geos::algorithm

namespace geom { // geos.geom

    /// \brief
    /// Contains classes and interfaces implementing algorithms that optimize
    /// the performance of repeated calls to specific geometric operations.
    namespace prep {}

    /// \brief
    /// Provides classes that parse and modify Geometry objects.
    namespace util {}
} // namespace geos.geom

/// \brief
/// Contains classes that implement topology graphs.
///
/// The Java Topology Suite (JTS) is a Java API that implements a core set of
/// spatial data operations using an explicit precision model and robust
/// geometric algorithms. JTS is int ended to be used in the development of
/// applications that support the validation, cleaning, integration and
/// querying of spatial datasets.
///
/// JTS attempts to implement the OpenGIS Simple Features Specification (SFS)
/// as accurately as possible.  In some cases the SFS is unclear or omits a
/// specification; in this case JTS attempts to choose a reasonable and
/// consistent alternative.  Differences from and elaborations of the SFS are
/// documented in this specification.
///
/// ### Package Specification
///
/// - Java Topology Suite Technical Specifications
/// - <A HREF="http://www.opengis.org/techno/specs.htm">
///   OpenGIS Simple Features Specification for SQL</A>
namespace geomgraph { // geos.geomgraph

    /// \brief
    /// Contains classes that implement indexes for performing noding on
    /// geometry graph edges.
    namespace index {}
} // namespace geos.geomgraph


/// Provides classes for various kinds of spatial indexes.
namespace index { // geos.index

    /// Contains classes that implement a Binary Interval Tree index
    namespace bintree {}

    /// Contains classes that implement Monotone Chains
    namespace chain {}

    /// \brief Contains classes that implement a static index on a set of
    /// 1-dimensional intervals, using an R-Tree packed based on the order of
    /// the interval midpoints.
    namespace intervalrtree {}

    /// Contains classes that implement a Quadtree spatial index
    namespace quadtree {}

    /// \brief Contains 2-D and 1-D versions of the Sort-Tile-Recursive (STR)
    /// tree, a query-only R-tree.
    namespace strtree {}

    /// \brief Contains classes which implement a sweepline algorithm for
    /// scanning geometric data structures.
    namespace sweepline {}
} // namespace geos.index

/// \brief
/// Contains the interfaces for converting JTS objects to and from other
/// formats.
///
/// The Java Topology Suite (JTS) is a Java API that implements a core set of
/// spatial data operations usin g an explicit precision model and robust
/// geometric algorithms. JTS is intended to be used in the devel opment of
/// applications that support the validation, cleaning, integration and
/// querying of spatial data sets.
///
/// JTS attempts to implement the OpenGIS Simple Features Specification (SFS)
/// as accurately as possible.  In some cases the SFS is unclear or omits a
/// specification; in this case JTS attempts to choose a reasonable and
/// consistent alternative.  Differences from and elaborations of the SFS are
/// documented in this specification.
///
/// ### Package Specification
///
/// - Java Topology Suite Technical Specifications
/// - <A HREF="http://www.opengis.org/techno/specs.htm">
///   OpenGIS Simple Features Specification for SQL</A>
///
namespace io {}

/// \brief Contains classes and interfaces implementing linear referencing on
/// linear geometries.
namespace linearref {}

/// \brief Classes to compute nodings for arrangements of line segments and
/// line segment sequences.
namespace noding { // geos.noding

    /// \brief Contains classes to implement the Snap Rounding algorithm for
    /// noding linestrings.
    namespace snapround {}
} // namespace geos.noding

/// Provides classes for implementing operations on geometries.
namespace operation { // geos.operation

    /// Provides classes for computing buffers of geometries
    namespace buffer {}

    /// Provides classes for computing the distance between geometries.
    namespace distance {}

    /// \brief Provides classes for computing the intersection of a Geometry
    /// and a clipping Rectangle.
    namespace intersection {}

    /// Line merging package.
    namespace linemerge {}

    /// \brief
    /// Contains classes that perform a topological overlay to compute boolean
    /// spatial functions.
    ///
    /// The Overlay Algorithm is used in spatial analysis methods for computing
    /// set-theoretic operations (boolean combinations) of input
    /// [Geometrys](\ref geom::Geometry).
    /// The algorithm for computing the overlay uses the intersection operations
    /// supported by topology graphs. To compute an overlay it is necessary to
    /// explicitly compute the resultant graph formed by the computed
    /// intersections.
    ///
    /// The algorithm to compute a set-theoretic spatial analysis method has the
    /// following steps:
    ///
    /// - Build topology graphs of the two input geometries. For each geometry
    ///   all self-intersection nodes are computed and added to the graph.
    /// - Compute nodes for all intersections between edges and nodes of the
    ///   graphs.
    /// - Compute the labeling for the computed nodes by merging the labels from
    ///   the input graphs.
    /// - Compute new edges between the compute intersection nodes.
    ///   Label the edges appropriately.
    /// - Build the resultant graph from the new nodes and edges.
    /// - Compute the labeling for isolated components of the graph. Add the
    ///   isolated components to the resultant graph.
    /// - Compute the result of the boolean combination by selecting the node
    ///   and edges with the appropriate labels. Polygonize areas and sew linear
    ///   geometries together.
    ///
    /// ### Package Specification
    ///
    /// - Java Topology Suite Technical Specifications
    /// - <A HREF="http://www.opengis.org/techno/specs.htm">
    ///   OpenGIS Simple Features Specification for SQL</A>
    namespace overlay {}

    /// An API for polygonizing sets of lines.
    namespace polygonize {}

    /// \brief Classes which implement topological predicates optimized for
    /// particular kinds of geometries.
    namespace predicate {}

    /// \brief Contains classes to implement the computation of the spatial
    /// relationships of `Geometry`s.
    ///
    /// The `relate` algorithm computes the `IntersectionMatrix` describing the
    /// relationship of two `Geometry`s. The algorithm for computing `relate`
    /// uses the intersection operations supported by topology graphs. Although
    /// the `relate` result depends on the resultant graph formed by the
    /// computed intersections, there is no need to explicitly compute the
    /// entire graph. It is sufficient to compute the local structure of the
    /// graph at each intersection node.
    ///
    /// The algorithm to compute `relate` has the following steps:
    ///
    /// - Build topology graphs of the two input geometries. For each geometry
    ///   all self-intersection nodes are computed and added to the graph.
    /// - Compute nodes for all intersections between edges and nodes of the
    ///   graphs.
    /// - Compute the labeling for the computed nodes by merging the labels
    ///   from the input graphs.
    /// - Compute the labeling for isolated components of the graph (see below)
    /// - Compute the `IntersectionMatrix` from the labels on the nodes and
    ///   edges.
    ///
    /// ### Labeling isolated components
    ///
    /// Isolated components are components (edges or nodes) of an input
    /// `Geometry` which do not contain any intersections with the other input
    /// `Geometry`. The topological relationship of these components to the
    /// other input `Geometry` must be computed in order to determine the
    /// complete labeling of the component. This can be done by testing whether
    /// the component lies in the interior or exterior of the other `Geometry`.
    /// If the other `Geometry` is 1-dimensional, the isolated component must
    /// lie in the exterior (since otherwise it would have an intersection with
    /// an edge of the `Geometry`). If the other `Geometry` is 2-dimensional,
    /// a Point-In-Polygon test can be used to determine whether the isolated
    /// component is in the interior or exterior.
    ///
    /// ### Package Specification
    ///
    /// - Java Topology Suite Technical Specifications
    /// - <A HREF="http://www.opengis.org/techno/specs.htm">
    ///    OpenGIS Simple Features Specification for SQL</A>
    namespace relate {}

    /// Find shared paths among two linear Geometry objects.
    namespace sharedpaths {}

    /// Classes to perform efficient unioning of collections of geometries.
    namespace geounion {}

    /// Provides classes for testing the validity of geometries.
    namespace valid {}
} // namespace geos.operation

/// Contains classes to implement a planar graph data structure.
namespace planargraph { // geos::planargraph

    /// Planargraph algorithms.
    namespace algorithm {}
} // namespace geos::planargraph

/// Provides classes for manipulating the precision model of Geometries.
namespace precision {}

/// Classes which implement algorithms for simplifying or generalizing geometries.
namespace simplify {}

/// Classes to compute Delaunay triangulations.
namespace triangulate { // geos.triangulate

    /// \brief Classes to implement a topological subdivision of quadeges, to
    /// support creating triangulations and Voronoi diagrams.
    namespace quadedge {}
} // namespace geos.triangulate

/// Utility classes for GEOS.
namespace util {}

} // namespace geos

#endif // GEOS_NAMESPACES_H