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]


Q:

Filter function with IF statement in 1st parameter to perform fill down multiplication OR division

Link to my previous related question for more background if needed: Transpose unique rows to columns while IF statement conditions are met but do not consolidate
My table headers start on row 20 Column A, and the table ends at row 36. I highlighted in red the problem my current formula is creating. All data is rand() generated.
Background:
I want the filter function to multiply or divide, depending on the situation, the selected transposed qty column by its respective usage ratio. Looking at FG 7120, the three transposed component quantities are  4,061, 4,744, and 10,396 respectively.
If usage ratio >= 1 I want to divide by that usage ratio and fill down the same output; if usage ratio < 1 I want to multiply the quantity by usage ratio and fill down the output. The rational logic behind this is that say a component material requires 2 components to make 1 FG, and you have 800 component qty, that quantity can only produce 400 FG in real case at best. Hence trying see how many FG can be made by zeroing out each component material in a scenario analysis.
In the first filter output column, the formula should have returned [4061*.25] = 1015.25 for all 4 rows related to FG 7120, but something in formula caused the wrong output in the third row of the filter output (highlighted red cell).
The second filter output column should have returned [4744/2] = 2372 and filled down for all rows related to FG 7120. The green cells in the ideal state table show this. The remaining columns are just a repeat of issue one or two happening ad nauseam.
What I did:
 =IF(AND(A21<>B21,D21>=1),TRANSPOSE(FILTER($F$21:$F24/$D$21:$D24,($A$21:$A24<>$B$21:$B24)*$A$21:$A24=$A21)),TRANSPOSE(FILTER($F$21:$F24*$D$21:$D24,($A$21:$A24<>$B$21:$B24)*$A$21:$A24=$A21)))

What am I doing wrong here?
Problem Table

Ideal Table

  19   A       B        C       D        E      F
  20  FG  Component  Plant UsageRatio  Std.$   Qty
  21  7120  7120      1220    1.00     4.71   9783
  22  7120  9907062   1220    0.25     7.8    4061
  23  7120  1007710   1220    2.00     5.74   4744
  24  7120  6670299   1220    0.67     5.18   10396
  25  5492  5492      1220    1.00     2.82   12172
  26  5492  9729374   1220    2.02     5.61   11762
  27  5492  9042677   1220    0.25     5.31   5697
  28  9030  9030      1297    1.00     7.69   6659
  29  9030  6367234   1297    2.23     5.94   14463
  30  9030  3858464   1297    1.87     4.61   5853
  31  9030  8613075   1297    2.44     6.6    3435
  32  9030  9473775   1297    1.61     2.55   4371
  33  7774  7774      1285    1.00     2.55   43
  34  7774  4345      1285    2.23     2.55   5235
  35  7774  324324    1285    0.33     2.55   3241
  36  7774  5345      1285    1.76     2.55   5435

EDIT-2 Hid some columns but left in Column letters
   A       B         D         F       G           H             I  
   FG   Component UsageRatio  Qty               
   7120 7120        1.00      9783    1,015        2,372       6,965    
   7120 9907062     0.25      4061   [1015*.25]  [2372*.25]   [6965*.25]    
   7120 1007710     2.00      4744   [1015/2]    [2372/2]     [6965/2]  
   7120 6670299     0.67      10396  [1015*.67]  [2372*.67]   [6965*.67] 

A:

It would be best if the usage ratio were all similar values (i.e. divisors or multipliers), but if you must have them in their current format, then apply the IF as part of the multiplied value, like this:
=TRANSPOSE(FILTER($F$21:$F$24*IF($D$21:$D$24>=1,1/($D$21:$D$24),$D$21:$D$24),($A$21:$A$24<>$B$21:$B$24)*$A$21:$A$24=$A21))

EDIT:
To apply the usage ratio to each row after the existing transformation, simply multiply the whole thing by the IF statement within:
=TRANSPOSE(FILTER($F$20:$F$23*IF($D$20:$D$23>=1,1/($D$20:$D$23),$D$20:$D$23),($A$20:$A$23<>$B$20:$B$23)*$A$20:$A$23=$A20))*IF($D$20:$D$23>=1,1/($D$20:$D$23),$D$20:$D$23)

Note that you need only enter this formula once in the top-left cell of the spill range. You don't need to drag it down.
EDIT 2:
Enter this on the top row then drag down:
=TRANSPOSE(FILTER($F$2:$F$13*IF($D$2:$D$13>=1,1/($D$2:$D$13),$D$2:$D$13),($A$2:$A$13<>$B$2:$B$13)*$A$2:$A$13=$A2))*IF($D2>=1,1/($D2),$D2)