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]


Each of Non Patent Literatures 1 and 2 describes a network architecture referred to as “OpenFlow”. The OpenFlow is a network architecture where a control apparatus referred to as an OpenFlow controller controls an OpenFlow switch. In the OpenFlow, a packet forwarding function to be played by the OpenFlow switch and a path control function to be played by the OpenFlow controller are separated according to a flow control protocol. Then, the controller performs control over the OpenFlow switch, using a unified Application Program Interface (API). In the OpenFlow, packet control is performed for each flow used as a granularity of the control, in order to achieve a high speed data path and to reduce cost for the control.
The above-mentioned OpenFlow switch (which may be hereinafter written as an “OFS”) includes a secure channel for communication with the OpenFlow controller and a flow table in which appropriate addition or rewriting is instructed from the OpenFlow controller. In the flow table, a set of a matching rule (Header Fields/matching rule) to be matched against a packet header, flow statistical information (Counters), and actions (Actions) defining processing contents is defined for each flow (see “3. Flow Table” on page 2 of Non Patent Literature 2).
FIG. 8 is an explanatory diagram showing a packet handling operation (flow entry) stored in the flow table. (Exact) values each for determining whether or not there is a match and wildcards (wild cards) can be set in respective fields of the matching rule (Header Fields/matching rule).
Details of the respective fields in FIG. 8 are described in “Table 3” on page 4 of Non Patent Literature 2. Each field in FIG. 8 can be associated with each layer of a hierarchical model, as shown in FIG. 9.
FIG. 10 illustrates names of actions and contents of the actions defined in Non Patent Literature 2. OUTPUT is an action for outputting a packet to a specified port (interface). SET_VLAN_VID down to SET_TP_DST are actions for modifying the fields of the packet header. When a code of “SET_DL_DST” is set in an action field, for example, a process of “updating the MAC DA (of a destination apparatus) of a packet matching the packet handling operation (flow entry)” is performed.
The Flow statistical information (Counters) in FIG. 8 includes the counters that record the numbers of packets and the number of bytes for each flow and the number of packets and the number of bytes for each port and an elapsed period of time (session continuation time: duration) since the packet was last received. The flow statistical information is used for determining whether or not the packet handling operation (flow entry) is to be deleted or not (see “Table 4” in Non Patent Literature 2).
When the OpenFlow switch receives a first packet (first packet), for example, the OpenFlow switch searches the flow table for a packet handling operation (flow entry) having a matching rule that matches header information of the received packet. When the packet handling operation (flow entry) matching the received packet is found as a result of the search, the OpenFlow switch executes processing content described in the action field of the entry on the received packet. On the other hand, when the packet handling operation (flow entry) having the matching rule that matches the received packet is not found as a result of the search, the OpenFlow switch forwards information on the received packet (or the received packet itself) to the OpenFlow controller via a secure channel, asks the OpenFlow controller to determine a packet path based on the transmission source and the transmitting destination of the received packet, receives a flow entry that implements this path to update the flow table. Thereafter, when the OpenFlow switch receives a packet matching the added packet handling operation (flow entry), the OpenFlow switch can execute the corresponding processing content without making an inquiry to the OpenFlow controller.
A message to be exchanged between the OpenFlow switch and the OpenFlow controller over the secure channel is described in “4 Secure Channel” on page 9 of Non Patent Literature 2. The OpenFlow controller in the above-mentioned Patent Literatures 1 and 2 collects flow statistical information (Counters) from the OpenFlow switch that operates as described above, dynamically sets a path (flow entry (packet handling operation) that implements the path) for each OpenFlow switch according to the communication policy and the current load state of the network. The OpenFlow controller can thereby perform path control, load distribution, and the like according to the communication policy.
Patent Literatures 1 and 2 and Non Patent Literatures 3 to 5 are literatures that disclose a technology for implementing tunneling by encapsulation. Patent Literatures 3 and 4 are literatures that implement tunneling by header rewriting without using encapsulation. Relevance of these literatures with the present invention will be described later.
[Patent Literature 1]
    International Publication No. WO2003/043276[Patent Literature 2]    JP Patent Kokai Publication No. JP2007-267426A[Patent Literature 3]    JP Patent Kokai Publication No. JP2006-42044A[Patent Literature 4]    JP Patent Kokai Publication No. JP2006-245785A[Non Patent Literature 1]    Nick McKeown and seven other authors, “OpenFlow: Enabling Innovation in Campus Networks”, [on line], [Searched on July 26, Heisei 22 (2010)], Internet <URL: http://wwvv.openflowswitch.org//documents/openflow-wp-latest.pdf>[Non Patent Literature 2]    “OpenFlow Switch Specification” Version 1.0.0 (Wire Protocol 0x01), [online], [Searched on July 26, Heisei 22 (2010)], Internet <URL: http://www.openflowswiteh.org/documents/openflow-spec-v1.0.0.pdf>[Non Patent Literature 3]    W. Townsley and five other authors, “Layer Two Tunneling Protocol “L2TP””, “Network Working Group, Request for Comments: 2661, IETF, August 1999[Non Patent Literature 4]    S. Hanks and three other authors, “Generic Routing Encapsulation”, Network Working Group, Request for Comments: 1701, IETF, October 1994[Non Patent Literature 5]    L. Martini, Ed. and three other authors, “Encapsulation Methods for Transport of Ethernet over MPLS Networks”, Network Working Group, Request for Comments: 4448, IETF, April 2006