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]


1. Field of the Invention
The present invention relates to a method and a device for purifying an exhaust gas of an internal combustion engine. More specifically, the invention relates to a method and a device which are capable of efficiently purifying hydrocarbon in the exhaust gas released from the engine during a starting up period.
2. Description of the Related Art
An exhaust gas purification device utilizing a three-way reducing and oxidizing catalyst (hereinafter referred to as a "three-way catalyst") is commonly used for purifying HC, CO and NO.sub.x from the exhaust gas of an internal combustion engine. However, a three-way catalyst is capable of purifying HC, CO and NO.sub.x only when the temperature of the catalyst becomes higher than a activating temperature (for example, about 300.degree. C.). Therefore, when the temperature of the three-way catalyst is low, such as in the starting up period of the engine, HC and CO in the exhaust gas pass through the three-way catalyst without being purified. Further, since the amount of fuel supplied to the engine is increased during the starting operation in order to facilitate the engine start, a relatively large amount of HC (unburned hydrocarbons) is contained in the exhaust gas in the period immediately after the engine has started compared to that during a normal operation. Also, since the amount of the fuel supplied to the engine during a starting operation is increased as the temperature of the engine is lower, a large amount of HC is released during a cold starting of the engine. This large amount of HC is released to atmosphere without being purified by the three-way catalyst since the three-way catalyst does not reach the activating temperature during cold starting of the engine. Therefore, it is necessary to purify HC in the exhaust gas during a starting operation of the engine in order to reduce air pollution due to engine exhaust gases.
To solve this problem, for example, Japanese Unexamined Patent Publication (Kokai) No. 5-79319 discloses an exhaust gas purifying device which utilizes an HC adsorbent for adsorbing and temporarily storing hydrocarbons released from the engine during starting operation. The device in the '319 publication disposes an HC adsorbent in the exhaust gas passage of the engine. The HC adsorbent adsorbs hydrocarbons in the exhaust gas when the temperature of the adsorbent is lower than a releasing temperature determined by the material of the adsorbent. Further, the HC adsorbent releases the adsorbed hydrocarbons when the temperature becomes higher than the releasing temperature. The device in the '319 publication further includes an electrically heated catalytic converter disposed in the exhaust gas passage downstream of the HC adsorbent. The electrically heated catalytic converter (hereinafter referred to as "an EHC") is a catalytic converter provided with an electric heater which is capable of heating the catalyst in a short time. By energizing the heater at the start of the engine, the catalyst is heated to the activating temperature rapidly. According to the device in the '319 publication, a relatively large amount of the hydrocarbons contained in the low temperature exhaust gas during the starting up period of the engine is adsorbed and temporarily stored in the HC adsorbent. Therefore, during the starting up period of the engine, i.e., when the temperature of the catalyst is lower than the activating temperature, hydrocarbons in the exhaust gas do not pass through the catalytic converter, and hydrocarbons are not released into the atmosphere. When the catalyst in the converter reaches the activating temperature, the catalytic converter starts to oxidize the hydrocarbons in the exhaust gas. Therefore, even if the HC adsorbent is saturated with the adsorbed hydrocarbons after the EHC reaches the activating temperature, hydrocarbons which are not adsorbed by the HC adsorbent and flow into the EHC are purified by the EHC.
However, when the temperature of the HC adsorbent reaches the releasing temperature due to a temperature rise after the engine has started, the hydrocarbons adsorbed and stored in the HC adsorbent are released in a short time, and the concentration of hydrocarbons in the exhaust gas flowing into the EHC largely increases. In this case, the air-fuel ratio of the exhaust gas flowing into the EHC becomes very low due to the hydrocarbons released from the HC adsorbent. In this condition, the EHC cannot oxidize hydrocarbons due to a shortage of oxygen in the exhaust gas. Therefore, the device in the '319 publication disposes a temperature sensor for detecting the temperature of the HC adsorbent bed, and supplies secondary air to the exhaust gas passage between the HC adsorbent and the EHC when the temperature of the HC adsorbent becomes higher than the releasing temperature. Further, the device adjusts the amount of secondary air by a feedback control based on an oxygen concentration sensor disposed in the exhaust gas passage at the inlet of the EHC in order to supply an exact amount of secondary air required for purifying (oxidizing) hydrocarbons in the exhaust gas to the EHC.
Namely, in the device disclosed in the '319 publication, relatively large amounts of hydrocarbons released from the engine during the starting up period are stored in the HC adsorbent, and when the hydrocarbons stored in the HC adsorbent are released due to a temperature rise of the exhaust gas, secondary air is supplied to EHC in order to purify the released hydrocarbons on the EHC.
However, in the device in the '319 publication, a temperature sensor for detecting the HC adsorbent bed temperature is required to determine the timing at which the releasing of hydrocarbons occurs. Further, an oxygen concentration sensor and a feedback control system of secondary air are required to supply a proper amount of air to the EHC because, if an excess amount of air is supplied to the EHC, the fuel consumption of the engine will increase due to the power consumption of an air source such as an air pump in the secondary air system and, if the amount of air is not sufficient, hydrocarbons are not sufficiently purified on the EHC. Therefore, the device in the '319 publication is complicated and the manufacturing cost is relatively high.
Further, since the oxygen concentration in air is only about 20%, a relatively large amount of secondary air must be supplied to the EHC in order to purify all the hydrocarbons released from the HC adsorbent. Therefore, in the device in the '319 publication, the EHC, even after it reaches the activating temperature, may be cooled by a large amount of secondary air to a temperature below the activating temperature and may loose its activity. This lowers the ability of the EHC to purify hydrocarbons in the exhaust gas.