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]


The present invention relates generally to the field of integrated circuits and in particular to a system and method to synchronize an output signal generated by a integrated circuit component to an applied clock signal.
Synchronous logic refers to a wide array of analog and digital circuits wherein state—the collective contents of storage locations and the conditions of input and output signals—changes in temporal synchronicity with an applied periodic signal, known in the art as a clock signal. Particularly in systems comprising a plurality of interconnected integrated circuits, synchronizing the state transition of certain output signals to an applied clock input is important to reduce clock skew and achieve reliable high frequency operation. One example of a synchronous integrated circuit component commonly interconnected to other high-frequency, synchronous circuits is SDRAM memory.
A Synchronous Dynamic Random Access Memory (SDRAM) component is a high-density, solid-state, volatile, digital data storage device. As its name implies, a SDRAM differs from a DRAM in that applied control signals, output timing signals, and data bits (in both read and write directions) transition synchronously with an applied clock signal. This feature simplifies the control of the SDRAM by processors, memory controllers, bus interface circuits, and other synchronous, or clocked, circuits, and allows for higher operating frequencies than conventional DRAMs. Tight synchronization with a clock input is even more critical for Double Data Rate (DDR) SDRAM components, which provide data and control signal transitions on both edges of the clock signal.
One example of a synchronous SDRAM signal is a data strobe signal, which is used in at least SDRAM write and read operations. The data strobe signal is provided as an input to the SDRAM when writing data to it, and is used by the SDRAM to latch write data synchronously with the clock signal. Conversely, the data strobe signal is an output generated by the SDRAM when data is read from it, and is used by memory controllers to latch read data synchronously with the clock signal.
During read operations, the SDRAM generates the data strobe signal synchronously with the clock signal. Ideally, the data bits (DQ) and data strobe (DQS) exhibit little or no skew relative to the applied clock signal (CK). The degree to which DQ and DQS diverge from synchronicity with the CK limits high frequency operation, and is specified by SDRAM manufacturers as tAC and tDQSCK, respectively. One challenge of SDRAM design, manufacture, and testing is to minimize tAC and tDQSCK.
A conventional approach to reducing the skew between synchronous output signals and the clock signal in an integrated circuit is the use of a Delay Locked Loop (DLL). A DLL dynamically adjusts the delay of a variable delay line to reduce the phase skew between a synchronous signal being generated and the clock signal. DLLs reduce skew between on-chip, or internal, signals.
To reduce the skew between corresponding external signals—such as the applied CK input and the DQS output during read operations—it is known to add a trimmable feedback delay to a DLL that accounts for input and output buffer delay. This trimmable delay may be altered during manufacturing testing by monitoring the external signals in a tester and blowing one or more fuses associated with delay elements in the feedback delay circuit until the external signals are phase aligned. Since it consumes valuable testing time, this procedure is performed on a selected number of SDRAM components on a wafer and the resultant values of the feedback delays are averaged. Fuses are then blown on the remaining SDRAM components on the wafer to set the feedback delay of each to this average value.
However, due to process variations, the delays imposed by input and output buffers may vary widely, even among SDRAM components on the same wafer. Consequently, each setting the feedback delay in each SDRAM component to the average value means that the SDRAM components are not individually optimized to minimize the phase skew between synchronous outputs and the clock signal.