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]


Field of the Invention
The present invention relates to an image reading apparatus, such as a scanner, which is configured to read an image (hereinafter referred to as “document image”) of a document.
Description of the Related Art
An image reading apparatus is connected to an image forming apparatus, such as a copier or a multifunction apparatus, and is used to read a document image in copying or facsimile transmission. Moreover, the image reading apparatus may be connected to an information processing apparatus, such as a personal computer, and be used as a scanner. When reading a plurality of documents successively one by one, the image reading apparatus includes a document conveying device, such as an automatic document feeder (ADF). The image reading apparatus is configured to take in the documents successively with the document conveying device so that document images may be read efficiently.
The image reading apparatus including the document conveying device is configured to read the document images with a scanner while conveying the documents, which have been taken in one by one from the document conveying device. The scanner includes a light emitting part configured to irradiate a document with light, and a light receiving part configured to receive reflected light, which has been reflected by the document. The image reading apparatus is configured to read a document image based on the reflected light received by the light receiving part. The image reading apparatus may have the structure including two scanners so as to sandwich a conveying path of the document. When including the two scanners, the image reading apparatus may read images on two sides (front side and back side) of the document by conveying the document once.
The light emitting part of the scanner normally has the structure in which a plurality of light emitting elements are arranged linearly. The light receiving part has the structure in which a plurality of light receiving elements are arranged linearly. The scanner may read the document image line by line in order with a direction orthogonal to the conveying direction of the document being a main scanning direction. In such configuration, accuracy in installing the scanner in the image reading apparatus affects quality of the read document image. For example, an irradiated region irradiated by the light emitting elements and a reading line of the light receiving elements may be inclined with respect to the main scanning direction. In this specification, such an incident is referred to as an inclination of the scanner, and an inclination angle is referred to as an inclination amount. In this case, the scanner is configured to scan the document in accordance with the inclination of the reading line, and hence to read an inclined document image. As a result, geometric quality of the read document image may be reduced.
In Japanese Patent Application Laid-open No. 2004-56524, there is disclosed an image reading apparatus, in which a pattern arranged near a reference scale for document alignment is read by a scanner (optical device element), and in which a document image is shifted based on a result of the reading to correct skew. In Japanese Patent Application Laid-open No. 2010-93760, there is disclosed an image reading apparatus, in which an inclination of a scanner is detected based on a result of reading a reference pattern formed inside a housing. This image reading apparatus is configured to correct a document image, which has been read by the scanner, depending on the inclination of the scanner. As described above, in the image reading apparatus in each of Japanese Patent Application Laid-open Nos. 2004-56524 and 2010-93760, an inclination amount of the scanner is detected based on the reference pattern, and an inclination of the document image is corrected depending on a result of the detection. In Japanese Patent Application Laid-open No. 2010-118911, there is disclosed an image reading apparatus, in which a skew amount of a conveyed document is detected, and in which a read document image is corrected depending on the detected skew amount of the document.
With the image reading apparatus in each of Japanese Patent Application Laid-open Nos. 2004-56524 and 2010-93760, the inclination amount of the scanner is detected based on the reference pattern, but when the reference pattern itself is inclined, an accurate inclination amount of the scanner cannot be detected. In addition, there is a need to drive the scanner in order to read the reference pattern, and accuracy of a reading operation of the scanner also affects accurate detection of the inclination amount of the scanner. With the image reading apparatus in Japanese Patent Application Laid-open No. 2010-118911, the skew amount of the conveyed document may be detected, but the inclination amount of the scanner is not taken into consideration. To address the above-mentioned problems, there is a demand for a technology of reliably detecting the inclination amount of the scanner. The present invention provides an image reading apparatus, which is configured to detect an inclination amount of a scanner more accurately than in the related art, and to read a high-quality document image.