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]


/*
-----------------------------------------------------------------------------
This source file is part of OGRE
    (Object-oriented Graphics Rendering Engine)
For the latest info, see http://www.ogre3d.org/

Copyright (c) 2000-2017 Torus Knot Software Ltd

Permission is hereby granted, free of charge, to any person obtaining a copy
of this software and associated documentation files (the "Software"), to deal
in the Software without restriction, including without limitation the rights
to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
copies of the Software, and to permit persons to whom the Software is
furnished to do so, subject to the following conditions:

The above copyright notice and this permission notice shall be included in
all copies or substantial portions of the Software.

THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
THE SOFTWARE.
-----------------------------------------------------------------------------
*/

#ifndef _OgreTextureBox_H_
#define _OgreTextureBox_H_

#include "OgrePrerequisites.h"
#include "OgrePixelFormatGpuUtils.h"
#include "OgreColourValue.h"

#include "OgreHeaderPrefix.h"

namespace Ogre
{
    /// For cubemaps, the face is in sliceStart, (see CubemapSide::CubemapSide)
    /// For cubemap arrays, the cubemaps are addressed as sliceStart * 6.
    struct _OgreExport TextureBox
    {
        uint32 x, y, z, sliceStart;
        uint32 width, height, depth, numSlices;
        /// When TextureBox contains a compressed format, bytesPerPixel contains
        /// the pixel format instead. See getCompressedPixelFormat.
        size_t bytesPerPixel;
        size_t bytesPerRow;
        size_t bytesPerImage;
        /// Pointer is never owned by us. Do not alter where
        /// data points to (e.g. do not increment it)
        void *data;

        TextureBox() :
            x( 0 ), y( 0 ), z( 0 ), sliceStart( 0 ),
            width( 0 ), height( 0 ), depth( 0 ), numSlices( 0 ),
            bytesPerPixel( 0 ), bytesPerRow( 0 ), bytesPerImage( 0 ),
            data( 0 )
        {
        }

        TextureBox( uint32 _width, uint32 _height, uint32 _depth, uint32 _numSlices,
                    uint32 _bytesPerPixel, uint32 _bytesPerRow, uint32 _bytesPerImage ) :
            x( 0 ), y( 0 ), z( 0 ), sliceStart( 0 ),
            width( _width ), height( _height ), depth( _depth ), numSlices( _numSlices ),
            bytesPerPixel( _bytesPerPixel ),
            bytesPerRow( _bytesPerRow ),
            bytesPerImage( _bytesPerImage ),
            data( 0 )
        {
        }

        uint32 getMaxX(void) const      { return x + width; }
        uint32 getMaxY(void) const      { return y + height; }
        uint32 getMaxZ(void) const      { return z + depth; }
        uint32 getMaxSlice(void) const  { return sliceStart + numSlices; }
        uint32 getDepthOrSlices(void) const { return std::max( depth, numSlices ); }
        uint32 getZOrSlice(void) const  { return std::max( z, sliceStart ); }

        size_t getSizeBytes(void) const { return bytesPerImage * std::max( depth, numSlices ); }

        void setCompressedPixelFormat( PixelFormatGpu pixelFormat )
        {
            assert( PixelFormatGpuUtils::isCompressed( pixelFormat ) );
            bytesPerPixel = 0xF0000000 + pixelFormat;
        }
        PixelFormatGpu getCompressedPixelFormat(void) const
        {
            if( bytesPerPixel < 0xF0000000 )
                return PFG_UNKNOWN;
            return static_cast<PixelFormatGpu>( bytesPerPixel - 0xF0000000 );
        }

        bool isCompressed(void) const
        {
            return bytesPerPixel >= 0xF0000000;
        }

        /// Returns true if 'other' & 'this' have the same dimensions.
        bool equalSize( const TextureBox &other ) const
        {
            return  this->width  == other.width &&
                    this->height == other.height &&
                    this->depth  == other.depth &&
                    this->numSlices == other.numSlices;
        }

        /// Returns true if 'other' fits inside 'this' (fully, not partially)
        bool fullyContains( const TextureBox &other ) const
        {
            return other.x >= this->x && other.getMaxX() <= this->getMaxX() &&
                   other.y >= this->y && other.getMaxY() <= this->getMaxY() &&
                   other.z >= this->z && other.getMaxZ() <= this->getMaxZ() &&
                   other.sliceStart >= this->sliceStart && other.getMaxSlice() <= this->getMaxSlice();
        }

        /// Returns true if 'this' and 'other' are in partial or full collision.
        bool overlaps( const TextureBox &other ) const
        {
            return!(other.x >= this->getMaxX() ||
                    other.y >= this->getMaxY() ||
                    other.z >= this->getMaxZ() ||
                    other.sliceStart >= this->getMaxSlice() ||
                    other.getMaxX() <= this->x ||
                    other.getMaxY() <= this->y ||
                    other.getMaxZ() <= this->z ||
                    other.getMaxSlice() <= this->sliceStart);
        }

        /// x, y & z are in pixels. Only works for non-compressed formats.
        /// It can work for compressed formats if xPos & yPos are 0.
        void* at( size_t xPos, size_t yPos, size_t zPos ) const
        {
            if( !isCompressed() )
            {
                return reinterpret_cast<uint8*>( data ) +
                        zPos * bytesPerImage + yPos * bytesPerRow + xPos * bytesPerPixel;
            }
            else
            {
                const PixelFormatGpu pixelFormat = getCompressedPixelFormat();
                const size_t blockSize = PixelFormatGpuUtils::getCompressedBlockSize( pixelFormat );
                const uint32 blockWidth = PixelFormatGpuUtils::getCompressedBlockWidth( pixelFormat,
                                                                                        false );
                const uint32 blockHeight= PixelFormatGpuUtils::getCompressedBlockHeight( pixelFormat,
                                                                                         false );
                const size_t yBlock = yPos / blockHeight;
                const size_t xBlock = xPos / blockWidth;
                return reinterpret_cast<uint8*>( data ) +
                        zPos * bytesPerImage + yBlock * bytesPerRow + xBlock * blockSize;
            }

        }

        void* atFromOffsettedOrigin( size_t xPos, size_t yPos, size_t zPos ) const
        {
            return at( xPos + x, yPos + y, zPos + getZOrSlice() );
        }

        /// Returns true if this TextureBox does not represent a contiguous region of a
        /// single slice of full texture, and is instead a 2D subregion of a larger texture.
        bool isSubtextureRegion(void) const
        {
            if( x != 0u || y != 0u )
                return true;

            if( !isCompressed() )
            {
                return ( bytesPerRow != bytesPerPixel * width ||  //
                         bytesPerImage != bytesPerRow * height );
            }
            else
            {
                const PixelFormatGpu pixelFormat = getCompressedPixelFormat();
                const uint32 blockWidth =
                    PixelFormatGpuUtils::getCompressedBlockWidth( pixelFormat, false );
                const uint32 blockHeight =
                    PixelFormatGpuUtils::getCompressedBlockHeight( pixelFormat, false );
                const size_t blockSize = PixelFormatGpuUtils::getCompressedBlockSize( pixelFormat );

                return ( bytesPerRow != blockSize * ( width + blockWidth - 1u ) / blockWidth ) ||
                       bytesPerImage != bytesPerRow * ( height + blockHeight - 1u / blockHeight );
            }
        }

        void copyFrom( const TextureBox &src )
        {
            assert( this->width  == src.width &&
                    this->height == src.height &&
                    this->getDepthOrSlices() >= src.getDepthOrSlices() );

            const uint32 finalDepthOrSlices = src.getDepthOrSlices();
            const uint32 srcZorSlice = src.getZOrSlice();
            const uint32 dstZorSlice = this->getZOrSlice();

            if( this->bytesPerRow == src.bytesPerRow &&      //
                this->bytesPerImage == src.bytesPerImage &&  //
                !this->isSubtextureRegion() && !src.isSubtextureRegion() )
            {
                //Raw copy
                const void *srcData = src.at( 0, 0, srcZorSlice );
                void *dstData       = this->at( 0, 0, dstZorSlice );
                memcpy( dstData, srcData, bytesPerImage * finalDepthOrSlices );
            }
            else
            {
                if( !isCompressed() )
                {
                    //Copy row by row, uncompressed.
                    const uint32 finalHeight        = this->height;
                    const size_t finalBytesPerRow   = std::min( this->bytesPerRow, src.bytesPerRow );
                    for( size_t _z=0; _z<finalDepthOrSlices; ++_z )
                    {
                        for( size_t _y=0; _y<finalHeight; ++_y )
                        {
                            const void *srcData = src.at( src.x,   _y + src.y,   _z + srcZorSlice );
                            void *dstData       = this->at( this->x, _y + this->y, _z + dstZorSlice );
                            memcpy( dstData, srcData, finalBytesPerRow );
                        }
                    }
                }
                else
                {
                    //Copy row of blocks by row of blocks, compressed.
                    const PixelFormatGpu pixelFormat = getCompressedPixelFormat();
                    const uint32 blockHeight= PixelFormatGpuUtils::getCompressedBlockHeight( pixelFormat,
                                                                                             false );
                    const uint32 finalHeight        = this->height;
                    const size_t finalBytesPerRow   = std::min( this->bytesPerRow, src.bytesPerRow );
                    for( size_t _z=0; _z<finalDepthOrSlices; ++_z )
                    {
                        for( size_t _y=0; _y<finalHeight; _y += blockHeight )
                        {
                            const void *srcData = src.at( src.x,   _y + src.y,   _z + srcZorSlice );
                            void *dstData       = this->at( this->x, _y + this->y, _z + dstZorSlice );
                            memcpy( dstData, srcData, finalBytesPerRow );
                        }
                    }
                }
            }
        }

        void copyFrom( void *srcData, uint32 _width, uint32 _height, uint32 _bytesPerRow )
        {
            TextureBox box( _width, _height, 1u, 1u, 0, _bytesPerRow, _bytesPerRow * _height );
            box.data = srcData;
            copyFrom( box );
        }

        /// Get colour value from a certain location in the image.
        ColourValue getColourAt( size_t _x, size_t _y, size_t _z, PixelFormatGpu pixelFormat ) const;

        /// Set colour value at a certain location in the image.
        void setColourAt( const ColourValue &cv, size_t _x, size_t _y, size_t _z,
                          PixelFormatGpu pixelFormat );
    };
}

#include "OgreHeaderSuffix.h"

#endif