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]



639 N.W.2d 520 (2002)
2002 SD 12
Jean THOMAS f/k/a Jean Hauge, Plaintiff and Appellee,
v.
Owen HAUGE, Defendant and Appellant.
No. 21917.
Supreme Court of South Dakota.
January 23, 2002.
Thomas M. Tobin of Tonner, Tobin & King, Aberdeen, South Dakota, Attorneys for plaintiff and appellee.
Forrest C. Allred of Hyde & Allred Law Office, Aberdeen, South Dakota, Attorneys for defendant and appellant.
*521 PER CURIAM.
¶ Owen Hauge appeals from an order that determined that, notwithstanding a prior stipulation and order irrevocably waiving child support, Owen has a duty to pay child support to Jean Hauge for the support of their minor daughter, Rachel. We affirm.

FACTS
¶ When Owen and Jean divorced in 1997, the judgment and decree of divorce incorporated their stipulated property, alimony, support, child custody and visitation, and child support agreement. They agreed to joint legal custody of their three children with Jean receiving primary physical custody. Owen agreed to pay $540 per month in direct child support and $69 for his share of the children's health insurance.
¶ In 1998 the judgment and decree of divorce was modified in accordance with the parties' stipulation. Owen received custody of Robert while Jean retained custody of Emily and Rachel. Owen's child support obligation was set at $304 "which is net of [Jean's] obligation to Owen for child support of Robert."
¶ By June 1999 both parties' legal obligation to provide child support for Robert ceased. The parties then stipulated that Owen would have the primary physical care of Rachel. Jean retained physical care of Emily. The stipulation and the court's order modifying the judgment and decree of divorce in accordance with the stipulation provided:
All claims of either party for child support against the other party, whether past, present or future, are permanently and irrevocably waived, and all such claims, assertions, orders, or judgments, are hereby satisfied in full.
¶ In December 1999 Jean filed a motion to grant her custody of Rachel and to set child support for Emily and Rachel. In her supporting affidavit she alleged that placement of Rachel with Owen "has been a disaster for the child." Owen, an over the road truck driver, was gone a majority of the time leaving Rachel with her stepmother. They did not get along and Rachel ran away five times. She was now living in a foster home subject to a CHIN's petition filed in Newcastle, Wyoming. The circuit court ultimately ordered that Jean would have physical custody of Rachel. It also ordered Owen to pay $310 per month as child support for Rachel.

ISSUE
¶ Can a father be permanently relieved of the duty to support his minor child by agreement with the mother and court approval?

DISCUSSION
¶ "Parents are obligated to provide support for their children." Kost v. Kost, 515 N.W.2d 209, 214 (S.D.1994). The parents' obligation to provide support for their children is a matter of public policy, as well as a statutory duty. Vander Woude v. Vander Woude, 501 N.W.2d 361 (S.D.1993); SDCL 25-5-18.1; SDCL 25-7-6.1. "The children's best interest requires that they be supported." Stach v. Stach, 369 N.W.2d 132, 136 (S.D.1985).
¶ A support agreement injurious to the best interest of the child violates public policy and is invalid for any purpose. Estes v. Albers, 504 N.W.2d 607 (S.D.1993).
The parents cannot make a valid irrevocable contract which will relieve them of the duty to support and educate their minor children; the rights of children to support and maintenance cannot be bargained away. Accordingly, parental *522 agreements which have the effect of making a child a public charge cannot be countenanced, and a support agreement which is injurious to the best interest of a child is invalid for any purpose. In particular, the father may not by contract avoid his duty to support and educate his minor children, and a wife cannot contract away the right of children to be supported by their father. An agreement between the father and mother which attempts to relieve the father of his obligation is, as between the father and children, ineffective as a violation of public policy; and where the father and mother are equally and jointly charged by statute for the maintenance of their children, an agreement by the mother to perform her statutory duty does not discharge the father's statutory obligation.
67A CJS Parent and Child § 60 (1978). A trial court errs when it incorporates a stipulated permanent waiver of support in its judgment, order, or decree because the provision is contrary to public policy and unenforceable.[*]Aumock v. Aumock, 410 N.W.2d 420 (Minn.App.1987).
¶ We also note that SDCL 25-4-45 provides, in part, "[i]n an action for divorce, the court may, before or after judgment, give such direction for the custody, care, and education of the children of the marriage as may seem necessary or proper, and may at any time vacate or modify the same."
"Circuit courts have continuing jurisdiction to modify child support obligations and are statutorily infused with broad powers to implement modifications `from time to time.' SDCL 25-4-41, and `as may seem necessary or proper.' SDCL 25-4-45." Dryden, 409 N.W.2d at 651 (citations omitted). A child support agreement may be modified even though it was originally based on a stipulation between the parties. Jameson II, 306 N.W.2d at 242; State ex rel. Larsgaard v. Larsgaard, 298 N.W.2d 381, 383 (S.D. 1980). "The parties' agreement cannot deprive the courts of their power to modify support obligations." McGee v. McGee, 415 N.W.2d 812, 813 (S.D.1987).
Jacobson v. Jacobson, 2000 SD 60, ¶ 12, 611 N.W.2d 210, 213-214.
*523 ¶ Jacobson, 2000 SD at ¶ 16, 611 N.W.2d at 215-216, also makes it clear that a trial court has the authority to modify a child support stipulation that it earlier had approved:
A court can not impose certain arrangements on the parties as a condition of granting a divorce. However, once the parties have stipulated to a provision and incorporated it into their divorce agreement, the court has authority to approve or reject the agreement. If it approves, it also has the authority to later modify a provision as part of the overall modification of the decree. This holding finds support in Connolly v. Connolly, 270 N.W.2d 44, 47 (S.D.1978), where, regarding the modifiability of alimony orders, we stated:
We conclude that when read together [our alimony statutes] contemplate that a husband's duty of support may be the subject of a valid agreement entered into between the parties to a marriage subsequent to the marriage and in contemplation of separation or divorce, but that in the event of a divorce the trial court has the ultimate authority to approve or reject the agreement and, if it approves the agreement, to later modify the provisions for support.

Accord Shoop v. Shoop, 58 S.D. 593, 600, 237 N.W. 904, 907 (S.D.1931) (surmising that court would be deprived of statutorily prescribed jurisdiction in holding that because the court incorporated provision from parties' stipulated agreement into divorce decree, the decree is not subject to modification).
¶ Consequently, the trial court approved stipulation of the parties which permanently and irrevocably waived child support was contrary to the public policy of this state, invalid, and void. The trial court clearly had the authority to modify its order regarding support. There was no error in its decision to order Owen to pay $310 per month for the support of Rachel.
¶ The order is affirmed.
¶ GILBERTSON, Chief Justice, and SABERS, AMUNDSON, and KONENKAMP, Justices, and GORS, Acting Justice, participating.
NOTES
[*]  Owen contends SDCL 25-7A-17 relieves him of child support because his stipulation with Jean waiving all child support was court approved. We disagree. SDCL 25-7A-17 provides:

An agreement between parents or other responsible persons relieving a party of any duty of support or responsibility or purporting to settle past, present or future support obligations as settlement or prepayment may not act to reduce or terminate any rights of the department of social services or any support obligee to recover from parents or other responsible persons for support provided, unless the department or any support obligee has consented to the agreement in writing and the agreement has been approved by a court of competent jurisdiction.
SDCL 25-7A-17 clearly is designed to restrict a party's ability to contract away a duty of support. Sharp v. Sharp, 422 N.W.2d 443, 447 (S.D.1988). The crux of that statute is that agreements purporting to relieve a parent of a duty of support "may not act to reduce or terminate any rights" of DSS or any support obligee to recover from the parents "for support provided," i.e. arrearages, unless court approved. See Vander Woude v. Vander Woude, 501 N.W.2d 361 (S.D. 1993). Owen and Jean's stipulation had nothing to do with arrearages, SDCL 25-7A-17 simply does not apply. See, Sharp v. Sharp, 422 N.W.2d at 447. We observe, however, that "[p]ublic policy is found in the letter or purpose of a constitutional or statutory provision or scheme, or in a judicial decision." Jasper v. Smith, 540 N.W.2d 399, 403 (S.D. 1995). Any suggestion that SDCL 25-7A-17 allows the permanent and irrevocable waiver of child support flies in the face of the public policy of this state found in the statutory child support scheme and the decisions of this Court.