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]



287 Wis.2d 327 (2005)
2005 WI App 206
704 N.W.2d 405
STATE of Wisconsin, Plaintiff-Respondent,
v.
Maurice S. EWING, Defendant-Appellant.[]
No. 2004AP2942-CR.
Court of Appeals of Wisconsin.
Submitted on briefs June 27, 2005.
Decided August 16, 2005.
On behalf of the defendant-appellant, the cause was submitted on the briefs of David R. Karpe, Madison.
On behalf of the plaintiff-respondent, the cause was submitted on the brief of Peggy A. Lautenschlager, attorney general and William C. Wolford, assistant attorney general.
*330 Before Cane, C.J., Hoover, P.J., and Peterson, J.
*329 ¶ 1. PETERSON, J.
Maurice Ewing appeals a judgment convicting him of armed robbery while masked and three counts of false imprisonment, as well as an order denying his motion for postconviction relief. Ewing argues his trial counsel was ineffective because he failed to object to the State's impermissible references to his silence. We disagree and affirm the judgment and order.

BACKGROUND
¶ 2. At approximately 10:30 p.m. on May 5, 2003, two masked men with guns robbed a McDonald's restaurant on Fish Hatchery Road in Fitchburg. A McDonald's employee identified Ewing, who was a former employee, as one of the robbers based on his voice and eyelashes.
¶ 3. On May 6, Ewing went to the restaurant's corporate offices. When he was there, he spoke with Todd Stetzer, a detective with the Fitchburg Police Department. Ewing told Stetzer that he had recently been living with various friends. However, he had just obtained an apartment on Monterey, but did not know the apartment number. Ewing stated that on May 5 he had worked at the DeForest McDonald's, then spent time with his children, dropping them off at their mother's house between 8:30 and 9 p.m. After that, he was "kicking it" with some friends. Ewing was not able to give Stetzer times or locations, but stated he had been at Clarissa's house and Sarah's house. He also indicated that his brother was with him.
¶ 4. On May 7, Ewing was arrested. After he was advised of his rights, Ewing again spoke to Stetzer about his whereabouts on May 5, essentially giving the *331 same information that he had on May 6. Ewing pled not guilty and a jury trial commenced on October 30, 2003.
¶ 5. Ewing did not testify at trial. He presented three witnesses to support his alibi that he was moving furniture to his new apartment at the time of the robbery. Jamael Ewing testified he was helping Ewing move items to Ewing's new apartment on Monterey from 10 p.m. until after 11 p.m. Shannon Wilson, the mother of Ewing's children, testified that Ewing left her house around 9 p.m., picked up Jamael, and then returned to her house to pick up his belongings. She stated he took three loads of items to his new apartment, departing from her house the final time around 11 p.m. Calvin Ewing testified that about 9:30 p.m., Ewing and Jamael were moving items from Wilson's house into the apartment on Monterey that Calvin, Jamael, and Ewing's father shared.
¶ 6. The jury found Ewing guilty on all four counts. Ewing moved for postconviction relief, claiming ineffective assistance of counsel. Ewing argued trial counsel should have objected to certain testimony by Stetzer and the State's closing argument as impermissible comments on his silence. At trial, the prosecutor asked Stetzer, "[Ewing] didn't tell you he was moving that night, is that correct?" Stetzer answered, "Absolutely not." On rebuttal, the prosecutor asked Stetzer, "In fact, when you talked to Mr. Ewing, did he say anything about moving furniture that night at all?" Stetzer answered, "No." During the State's closing argument, the prosecutor stated, "When [Stetzer] talks to the defendant, the defendant doesn't say, no last night I was moving." The prosecutor also said, "The next morning he couldn't remember he was moving."
*332 ¶ 7. After a Machner[1] hearing, the circuit court denied Ewing's motion. It concluded admission of the evidence did not violate Ewing's right to silence because he never invoked that right. It also rejected Ewing's argument that the evidence was improper impeachment on a collateral matter because the alibi evidence was the central issue in the case.

STANDARD OF REVIEW
¶ 8. The question of whether the State violated Ewing's right to remain silent involves the application of constitutional principles to undisputed facts, which is a question of law that we review independently. State v. Adams, 221 Wis. 2d 1, 6, 584 N.W.2d 695 (Ct. App. 1998). Additionally, our review of an ineffective assistance of counsel claim presents a mixed question of fact and law. State v. Erickson, 227 Wis. 2d 758, 768, 596 N.W.2d 749 (1999). We do not disturb the circuit court's factual findings unless they are clearly erroneous. Id. However, whether counsel's conduct amounts to ineffective assistance is a question of law that we review independently. Id.

DISCUSSION
¶ 9. Ewing argues the State impermissibly commented on his silence in violation of his constitutional rights. Because defense counsel did not object, we examine Ewing's argument in the context of his ineffective assistance of counsel claim. To establish ineffective *333 assistance of counsel, a defendant must show both that trial counsel's performance was deficient and that the deficiency was prejudicial. Strickland v. Washington, 466 U.S. 668, 697 (1984); State v. Pitsch, 124 Wis. 2d 628, 633, 369 N.W.2d 711 (1985). Performance is deficient if it falls outside the range of professionally competent representation, measured by the objective standard of what a reasonably prudent attorney would do under the circumstances. Pitsch, 124 Wis. 2d at 636-37. Prejudice is demonstrated where, but for counsel's deficient performance, there was a reasonable probability of a different trial outcome. Erickson, 227 Wis. 2d at 773.
¶ 10. Here, whether Ewing's trial counsel was ineffective primarily hinges on whether the testimony Ewing complains of on appeal constitutes impermissible comments on his silence. Accordingly, we first turn to that threshold question.
¶ 11. Defendants have a constitutional right to remain silent. U.S. CONST. amend. V; Miranda v. Arizona, 384 U.S. 436 (1966); WIS. CONST. art. I, § 8(1). That right is violated if the State comments on the defendant's silence during a criminal trial. Griffin v. California, 380 U.S. 609, 614 (1965).
The test for determining if there has been an impermissible comment on a defendant's right to remain silent is whether the language used was manifestly intended or was of such character that the jury would naturally and necessarily take it to be a comment on the defendant's right to remain silent. The court must look at the context in which the statement was made in order to determine the manifest intention which prompted it and its natural and necessary impact on the jury.
*334 State v. Nielsen, 2001 WI App 192, ¶ 32, 247 Wis. 2d 466, 634 N.W.2d 325 (citations omitted).
¶ 12. Ewing argues that when the State introduced evidence regarding his failure to tell police he was moving on the night of the robbery, it impermissibly commented on his silence.[2] Ewing's argument rests on two faulty premises. First, it assumes that Ewing exercised his right to silence. However, Ewing provides no record citation to support that assertion. Ewing was interviewed twice by police, once before and once after his arrest. In both instances, he provided a purportedly complete account of his whereabouts the night of the robbery.
¶ 13. Second, Ewing's argument assumes the complained-of testimony involved his silence. While Ewing characterizes the testimony as comments on his non-statements or his failure to reveal his alibi, we are unpersuaded that the testimony amounted to a comment on his silence. Ewing provided alibi evidence in his interviews with police  that he was "kicking it" with friends, stopping at several friends' houses, at the time of the robbery. The information Ewing provided was inconsistent with the alibi witnesses he provided at trial, who testified that he was moving at the time of the robbery. When the prosecutor asked Stetzer whether Ewing stated he was moving the night of the robbery, the prosecutor was not eliciting comment on Ewing's silence or what Ewing did not say. Rather, the prosecutor was highlighting the inconsistency between what *335 Ewing did say and what his alibi witnesses testified to at trial. Accordingly, we cannot conclude that the testimony "was manifestly intended or was of such character that the jury would naturally and necessarily take it to be a comment on the defendant's right to remain silent." See id.
¶ 14. The authority Ewing cites in support of his arguments is equally unpersuasive. Ewing cites State v. Feela, 101 Wis. 2d 249, 268, 304 N.W.2d 152 (Ct. App. 1981), for the proposition that the State may not question a defendant on his failure to reveal an alibi to police. However, because Ewing did not testify, the State did not question him at all. Further, Ewing did reveal an alibi to police, albeit a different one than he presented at trial. Accordingly, Feela is inapplicable. Similarly, Ewing quotes State v. Wulff, 200 Wis. 2d 318, 340-41, 546 N.W.2d 522 (Ct. App. 1996), rev'd on other grounds, 207 Wis. 2d 143, 557 N.W.2d 813 (1997): "The government may use a defendant's post-arrest silence to impeach his or her testimony in certain respects, but it may not argue that the defendant's silence was inconsistent with his claim of innocence." Again, Ewing did not testify, and therefore the State could not impeach his testimony. Nor could the State argue that Ewing's silence was inconsistent with his claim of innocence, because he never exercised his right to remain silent.
¶ 15. Ewing also quotes extensively from United States v. Hale, 422 U.S. 171 (1975), in support of his argument that a defendant is permitted to stop talking without giving police his entire story or to refuse to answer certain questions. However, Ewing purported to give police a full account of his whereabouts on the night of the robbery, and he did not refuse to answer any questions. Hale is therefore inapplicable here.
*336 ¶ 16. Alternatively, Ewing argues that if the testimony was not an impermissible comment on his silence, his trial counsel was still ineffective for failing to object. He contends that a witness's testimony cannot be impeached by the non-statement of another.[3] However, Ewing's argument and supporting legal authority[4] rests on the same faulty factual premise we rejected above: that Stetzer testified regarding Ewing's silence or non-statement. The prosecutor impeached the alibi witnesses with Ewing's statements, not his non-statements.
¶ 17. Ewing also relies on State v. Sonnenberg, 117 Wis. 2d 159, 344 N.W.2d 95 (1984). Sonnenberg held that certain extrinsic evidence, introduced to impeach the defendant's testimony on a collateral matter, was inadmissible. Id. at 174-75. However, Ewing did not testify. Further, we agree with the circuit court's conclusion that Ewing's whereabouts the night of the robbery was not a collateral matter, it was the central issue in the case.
¶ 18. Because Ewing fails to establish that the evidence was inadmissible, counsel was not deficient for failing to object. Accordingly, Ewing's ineffective assistance claim fails.
By the Court.  Judgment and order affirmed.
*337 
NOTES
[]  Petition to review denied 11-11-05.
[1]  State v. Machner, 92 Wis. 2d 797, 285 N.W.2d 905 (Ct. App. 1979).
[2]  Ewing does not argue that the State impermissibly commented on his choice to not testify in his own defense at trial. Accordingly, we are concerned only with Ewing's pretrial right to silence.
[3]  Ewing's alternative argument begins by asserting the evidence was objectionable on due process grounds. However, his subsequent argument challenges admissibility as a matter of evidentiary, not constitutional, law.
[4]  Ewing cites Hilton v. Hayes, 154 Wis. 27, 32, 141 N.W. 1015, overruled on other grounds by Gelhaar v. State, 41 Wis. 2d 230, 241 n.1, 163 N.W.2d 609 (1969), and Reichhoff v. State, 76 Wis. 2d 375, 251 N.W.2d 470 (1977).