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]


96 F.3d 97
51 Soc.Sec.Rep.Ser. 701, Unempl.Ins.Rep. (CCH) P 15559BJean D'ACCARDI on behalf of herself and as Guardian Ad Litemfor Vanessa Vigil and Joaquin Vigil, Plaintiffs-Appellants,v.Shirley S. CHATER, Commissioner of Social Security,Defendant-Appellee.
No. 95-2988.
United States Court of Appeals,Fourth Circuit.
Argued June 7, 1996.Decided Sept. 16, 1996.

ARGUED:  Lesley Fogleman Moxley, Pamlico Sound Legal Services, New Bern, North Carolina, for Appellants.  Barbara Dickerson Kocher, Assistant United States Attorney, Raleigh, North Carolina, for Appellee.  ON BRIEF:  Janice McKenzie Cole, United States Attorney, Raleigh, North Carolina, for Appellee.
Before HALL and ERVIN, Circuit Judges, and JACKSON, United States District Judge for the Eastern District of Virginia, sitting by designation.
Reversed and remanded by published opinion.  Judge ERVIN wrote the opinion, in which Judge HALL and Judge JACKSON joined.
OPINION
ERVIN, Circuit Judge:


1
Jean D'Accardi appeals on behalf of her two children from the denial of their application for Social Security Survivor's Insurance benefits.  She contends that the Commissioner of Social Security erred in deciding that her children were not equitably adopted by her deceased husband, based on evidence that he had decided to discontinue adoption proceedings before his death.  We agree.  Where there exists a valid contract to adopt, but legal adoption does not actually occur, New Jersey courts will enforce the contract in equity under certain circumstances for the benefit of the adoptive child.  Ordinary contract principles teach that a promisor's subsequent unilateral decision to rescind does not affect the existence of an enforceable agreement.  Accordingly, we reverse and remand with instructions.

I.

2
Robert and Jean D'Accardi were both divorcees when they met in 1986.  After about a year, Jean and her two children--Vanessa and Joaquin Vigil--began spending long weekends at Robert D'Accardi's home.  In January 1988, Jean, Vanessa and Joaquin moved into Robert's home.  At Thanksgiving 1989, Robert and Jean became engaged, and in December 1989, they began to discuss Robert adopting Vanessa and Joaquin.


3
The couple married on May 12, 1990.  At the time of the wedding, Robert had been diagnosed with cancer, but the disease was in remission.  In the summer of 1990, Robert filed a complaint for adoption of Vanessa and Joaquin, aided by Gregory Keller, an associate with the law firm of Stein, Bliablias, McGuire, Pantages and Gigi.


4
During the fall of 1990, Robert's health began to fail and he was hospitalized on several occasions.  As a result, the preliminary adoption hearing set for September 21, 1990, was delayed until January 4, 1991.1  Robert's health continued to decline, and he went to stay with his parents to facilitate his nursing.  He later reentered the hospital.  Due to his hospitalization, the hearing scheduled for January 4, 1991 was again delayed.  On January 27, 1991, Robert died of cerebral edema, brain metastases, and cancer of the kidneys.


5
On February 19, 1991, Jean applied for Social Security Survivor's Insurance benefits and, on behalf of her two children, for Child's Insurance benefits.  Benefits were initially awarded.  However, on May 27, 1991, the Social Security Administration (SSA) revoked the benefits on the ground that Jean and Robert had not been married for nine months before Robert died.2  Jean moved for reconsideration, and the SSA again found that she was not entitled to benefits.  Jean then requested an administrative hearing, which was held on June 11, 1992.


6
The ALJ joined a third party, Renee D'Accardi (Robert's child from a previous marriage).  At the hearing, Vanessa, 7, and Joaquin, 12, testified that they called Robert "Daddy," did chores for him, and were disciplined by him.  Joaquin testified that Robert had discussed adoption with him as early as Christmas 1989.  Both children testified that they wanted Robert to be their father.  Robert was the only father Vanessa had known, as she had not seen her natural father since the age of six months.  The ALJ concluded that, because Jean met the nine-month marriage duration requirements of the Social Security Act, she was eligible for mother's insurance benefits and her children were entitled to stepchild's benefits.  In addition, the ALJ concluded that, because adoption would have occurred but for Robert D'Accardi's death, Vanessa and Joaquin were also entitled to benefits as equitably adopted children.


7
After the hearing, Renee D'Accardi submitted a statement by attorney Dino Bliablias--also with the Stein, Bliablias firm--that in late 1990, Robert had stated that he wished to discontinue the adoption process "for personal reasons" and had asked Bliablias to inform Mrs. D'Accardi.  Bliablias never did so.  In response, Jean D'Accardi certified that, although she saw her husband nearly every day until his death, and saw Mr. Bliablias and other firm attorneys several times at Robert's parents' home and at the hospital before Robert's death, no one indicated to her that Robert had had a change of heart.  The adoption process continued until Attorney Keller informed the surrogate court of Robert's death, and requested that the action be dismissed for that reason.


8
On July 21, 1994, the Appeals Council reversed the findings of the ALJ.  The Council found that the D'Accardis had not been married for the requisite nine months.  Thus, it found, Jean was not entitled to mother's benefits and her children were not entitled to benefits as stepchildren.  The Council further found that, because Robert D'Accardi had indicated an intention to discontinue adoption proceedings, any agreement to adopt expired, and Vanessa and Joaquin therefore were not eligible for benefits as equitably adopted children.  On September 20, 1994, Jean filed a complaint in the Eastern District of North Carolina seeking judicial review of the Commissioner's decision under Title II of the Social Security Act, 42 U.S.C. § 402 et seq.3


9
In the district court, a magistrate judge found that the Commissioner's finding that Jean and Robert D'Accardi had not been married for nine months was based upon substantial and undisputed evidence, and that it was in accordance with the SSA's interpretation of its own regulations and was therefore entitled to deference.  The magistrate judge also found that the Appeals Council properly denied the child's insurance benefits as stepchildren based on the same nine-month period.  In addition, the judge upheld as based on substantial evidence the Appeals Council's finding that Robert wished to discontinue adoption proceedings, and found that the children were therefore not entitled to benefits as equitably adopted children.  District Judge Fox adopted the magistrate judge's findings and conclusions, and affirmed the final decision of the Secretary of Health and Human Services.

II.

10
Jean D'Accardi challenges the Commissioner's decision4 that Vanessa and Joaquin Vigil are not entitled to surviving child's insurance benefits as the equitably adopted children of the deceased wage earner.  In reviewing the final benefits decision of the Commissioner, we apply the same standards as did the district court to determine whether the decision was based upon substantial evidence and correct conclusions of law.  42 U.S.C. § 405(g);  Hays v. Sullivan, 907 F.2d 1453, 1456 (4th Cir.1990).


11
An applicant for child's benefits must show, among other things, that he or she is the "child" of the insured worker.  20 CFR § 404.350-369.  "Child" includes a natural child, a grandchild, a legally adopted child, or an equitably adopted child.  Id. at § 404.354(a).  The regulations define an equitably adopted child as one whom the insured agreed to adopt, but whose legal adoption did not actually occur.  Id. at § 404.359.  The regulations specify:


12
The agreement to adopt [the child] must be one that would be recognized under State law so that [the child] would be able to inherit a child's share of the insured's personal property if he or she were to die without leaving a will.  The agreement must be in whatever form, and [the child] must meet whatever requirements for performance under the agreement, that State law directs.  If [the child] appl[ies] for child's benefits after the insured's death, the law of the State where the insured had his or her permanent home at the time of his or her death will be followed.


13
Id.  Thus, if under state law, Vanessa and Joaquin would have been entitled to share in Robert D'Accardi's intestate estate, they may be eligible for child's insurance benefits.


14
There is no dispute that the law of the state of New Jersey applies to this case, as Robert D'Accardi was a New Jersey resident at the time of his death.  New Jersey recognizes the doctrine of equitable adoption as a theory of inheritance under intestacy:


15
It is now firmly established that an oral agreement to adopt, where there has been a full and faithful performance on the part of the adoptive child, but which was never consummated by formal adoption proceedings during the life of the adoptive parent, will, upon the death of the latter, and when equity and justice so requires, be enforced to the extent of decreeing that such child occupies in equity the status of an adopted child, entitled to the same right of inheritance from so much of his foster parent's estate that remains undisposed of by will or otherwise, as he would have been had he been a natural born child.


16
Burdick v. Grimshaw, 113 N.J. Eq. 591, 168 A. 186, 188 (Ch.1933);  see also Ashman v. Madigan, 40 N.J.Super. 147, 122 A.2d 382, 383 (Ch. Div.1956) (finding that statements and conduct of decedent demonstrated the existence of an enforceable agreement to adopt);  Hendershot v. Hendershot, 135 N.J. Eq. 232, 37 A.2d 770, 772 (Ch.1944) (ruling that testator made binding oral agreement to adopt, which gave complainant the status of a legally adopted child for inheritance purposes).5


17
Proof of the existence of an agreement to adopt and accompanying consideration is sufficient to support a finding of equitable adoption.  See Hendershot, 37 A.2d at 772.   The acts, conduct and admissions of an adopting party may be used to prove the existence of an adoption agreement.  See Ashman, 122 A.2d at 383.   Written agreements are satisfactory evidence of an adoption agreement.  Burdick, 168 A. at 190.   In addition to the complaint for adoption, the plaintiffs presented evidence that the children called Robert "Daddy";  that Robert assigned chores to and disciplined the children;  that they went on family vacations together;  that Robert told the children of his desire to adopt them to show them how much he loved them;  and other related testimony.  The plaintiffs add that sufficient legal consideration for the agreement to adopt was present in the children's love and affection, their performance of duties, and their companionship and obedience.  See Hendershot, 37 A.2d at 772-73.


18
The Commissioner concedes that the plaintiffs' testimony was "consistent and convincing" and that it tended to show that the plaintiffs believed that there existed an agreement to adopt.  However, the appellee points to certified statements by Robert D'Accardi's attorneys that, before his death, Robert decided to discontinue the adoption process.  She argues that such statements cast doubt on the continued existence of an agreement to adopt.  The Appeals Council agreed, finding that "[s]ince the record shows that, prior to his death, the wage earner indicated that he wished to discontinue the adoption of Vanessa and Joaquin, any expressed contract by the wage earner to adopt them expired prior to his death."


19
Jean D'Accardi counters that Robert's intention at the time of his death to discontinue the adoption proceedings did not nullify an existing enforceable agreement to adopt.  Jean relies on Hendershot v. Hendershot, in which the plaintiff successfully challenged his exclusion from his stepfather's will based on the theory of equitable adoption.  The court found that the deceased had promised to adopt the complainant and to include him in his will.  A stepfather's subsequent change of heart has no effect on an earlier agreement to adopt, the court held, once the child has performed in whole or in part.  Id. at 772.   Accordingly, Jean D'Accardi argues, because her children performed their part of the contract, Robert's alleged intent not to perform does not nullify the agreement.


20
There is little question that Jean D'Accardi presented "clear, cogent and convincing" evidence "leaving no doubt with respect to [the oral agreement's] actual making and existence."  Burdick, 168 A. at 189.   The question for this court is whether, under New Jersey law, a deathbed unilateral decision to discontinue adoption proceedings nullifies an earlier agreement for the purpose of determining the child's right to inherit from the adoptive parent's intestate estate.  Burdick, Hendershot, and Ashman reveal that, when there exists a valid and binding contract to adopt, supported by consideration, New Jersey courts will enforce the contract in equity to allow a child to occupy the status of a legally adopted child for certain purposes.  The Commissioner cites no case law suggesting that ordinary contract principles do not apply in such a situation.  We reject, therefore, her unusual assertion that the changed intent of a promisor nullifies the existence of a valid contract, and find that she erred as a matter of law in relying upon evidence of Robert D'Accardi's desire to discontinue adoption proceedings.  Accordingly, we need not address Jean D'Accardi's contention that the Commissioner's decision was not supported by substantial evidence.

III.

21
We reverse the decision of the district court and remand the case to the district court for further remand to the Appeals Council, with directions to award benefits.


22
REVERSED AND REMANDED WITH INSTRUCTIONS.



1
 Despite delays in the proceedings, the adoption process apparently continued.  On December 18, 1990, Attorney Keller sent the D'Accardis an interim bill for adoption-related services rendered through November 28, 1990


2
 An individual may be entitled to widow's or mother's benefits on the deceased wage earner's record if she was married to the wage earner for at least nine months preceding his death.  20 C.F.R. §§ 404.335(a)(1), 404.339.  The same durational requirement applies to a stepchild:  if he or she was the stepchild of the wage earner for at least nine months immediately before the death, he or she may qualify for child's insurance benefits.  20 C.F.R. § 404.356


3
 On January 22, 1995, Renee D'Accardi stipulated that she no longer had an interest in the matter, and was dismissed as a defendant


4
 Jean does not appeal from the decision denying benefits to her personally


5
 We are at a loss to explain the assertion by the New Jersey Superior Court that "New Jersey has not recognized 'equitable adoption' in any case that research has disclosed."   In re: the Adoption of a Child by N.E.Y., 267 N.J.Super. 88, 630 A.2d 835, 839 (1993) (ruling that the court had no authority under statute or case law to use the theory of equitable adoption to finalize a decree of legal adoption for purposes of favorable inheritance tax treatment and Social Security benefits)