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:

How Can I Cascade Radio Buttons In Javascript?

I'm new to programming and am tasked with creating a clickable tournament bracket. 8 teams, where you can pick the winners who will advance to the next round. 
The problem I'm running into is when a person would want to revise picks in the first or second round after filling out the bracket. 
For example in the first round the user picks: 

Team1 v. Team8 --> #1 moves on 
Team4 v. Team5 --> #4 moves on 
Team3 v. Team6 --> #3 moves on 
Team2 v. Team7 --> #2 moves on

In the Second Round let's say they pick:

Team1 v. Team4 --> #1 moves on 
Team2 v. Team3 --> #2 moves on

In the Finals, they pick:

Team1 v. Team2 --> #1 wins.

Then, let's say the user changes their mind and picks Team8 to upset Team1 in the first round. Right now the code would still show Team1 as the winner and in the final game. How can I remove the text for the future rounds that currently shows Team1? 
Attaching JSFiddle here: https://jsfiddle.net/a4hya2c7/5/ or see below code:
<!DOCTYPE html>
<html>
   <head>
      <title>Button</title>
   </head>
   <body>
      <p>First Round</p>
      <div id="round1">
         <input type="radio" name="g1" id="i1" value="#1" onclick="changeText(this.value);"><label id="r1">#1</label>
         <input type="radio" name="g1" id="i2" value="#8" onclick="changeText(this.value);"><label id="r2">#8</label></br>
         <input type="radio" name="g2" id="i3" value="#4" onclick="changeText2(this.value);"><label id="r3">#4</label>
         <input type="radio" name="g2" id="i4" value="#5" onclick="changeText2(this.value);"><label id="r4">#5</label></br>
         <input type="radio" name="g3" id="i5" value="#3" onclick="changeText3(this.value);"><label id="r5">#3</label>
         <input type="radio" name="g3" id="i6" value="#6" onclick="changeText3(this.value);"><label id="r6">#6</label></br>
         <input type="radio" name="g4" id="i7" value="#7" onclick="changeText4(this.value);"><label id="r7">#7</label>
         <input type="radio" name="g4" id="i8" value="#2" onclick="changeText4(this.value);"><label id="r8">#2</label></br>
      </div>
      </br>
      <p>Second Round</p>
      <div id="round2">
         <input type="radio" name="g5" id="i9" onclick="changeText5(this.value);"><label id="r9"></label>
         <input type="radio" name="g5" id="i10" onclick="changeText5(this.value);"><label id="r10"></label></br>
         <input type="radio" name="g6" id="i11" onclick="changeText6(this.value);"><label id="r11"></label>
         <input type="radio" name="g6" id="i12" onclick="changeText6(this.value);"><label id="r12"></label></br>
      </div>
      </br>
      <p>Finals</p>
      <div id="round3">
         <input type="radio" name="g7" id="i13" onclick="changeText7(this.value);"><label id="r13"></label>
         <input type="radio" name="g7" id="i14" onclick="changeText7(this.value);"><label id="r14"></label></br>
      </div>
      </br>
      <p>Winner</p>
      <div id="round4">
         <label value="#8" id="r15"></label></br>
      </div>
      </br>
   </body>
</html>

JS:
function changeText(value) {
    document.getElementById('r9').innerHTML = value;
    document.getElementById('i9').value = value;
}

function changeText2(value) {
    document.getElementById('r10').innerHTML = value;
    document.getElementById('i10').value = value;
}

function changeText3(value) {
    document.getElementById('r11').innerHTML = value;
    document.getElementById('i11').value = value;
}

function changeText4(value) {
    document.getElementById('r12').innerHTML = value;
    document.getElementById('i12').value = value;
}

function changeText5(value) {
    document.getElementById('r13').innerHTML = value;
    document.getElementById('i13').value = value;
}

function changeText6(value) {
    document.getElementById('r14').innerHTML = value;
    document.getElementById('i14').value = value;
}
function changeText7(value) {
    document.getElementById('r15').innerHTML = value;
    document.getElementById('r15').value = value;
}

A:

Firstly your <br> tags aren't correct as you can see here:
</div>
</br>

You are using the close tag without the opening. You can either use:
<br/>

Or use the newer html5 self closing tags style:
<br>

As to the JS itself, you can simplify it a lot if you use an attribute, similar as the name you are already using to point where it must put the value. With that change the code would be a lot smaller and simpler:

const inputs = document.querySelectorAll("input[type=radio]"); 

for (let inp of inputs){
  inp.addEventListener("change", function(){
    let targetLabel = document.getElementById(inp.dataset.target);    
    targetLabel.previousSibling.value = inp.value;
    targetLabel.innerHTML = inp.value;    
  });
}
<p>First Round</p>
      <div id="round1">
         <input type="radio" name="g1" id="i1" value="#1" data-target="r9"><label id="r1">#1</label>
         <input type="radio" name="g1" id="i2" value="#8" data-target="r9"><label id="r2">#8</label><br>
         <input type="radio" name="g2" id="i3" value="#4" data-target="r10"><label id="r3">#4</label>
         <input type="radio" name="g2" id="i4" value="#5" data-target="r10"><label id="r4">#5</label><br>
         <input type="radio" name="g3" id="i5" value="#3" data-target="r11"><label id="r5">#3</label>
         <input type="radio" name="g3" id="i6" value="#6" data-target="r11"><label id="r6">#6</label><br>
         <input type="radio" name="g4" id="i7" value="#7" data-target="r12"><label id="r7">#7</label>
         <input type="radio" name="g4" id="i8" value="#2" data-target="r12"><label id="r8">#2</label><br>
      </div>
      <br>
      <p>Second Round</p>
      <div id="round2">
         <input type="radio" name="g5" id="i9" data-target="r13"><label id="r9"></label>
         <input type="radio" name="g5" id="i10" data-target="r13"><label id="r10"></label><br>
         <input type="radio" name="g6" id="i11" data-target="r14"><label id="r11"></label>
         <input type="radio" name="g6" id="i12" data-target="r14"><label id="r12"></label><br>
      </div>
      <br>
      <p>Finals</p>
      <div id="round3">
         <input type="radio" name="g7" id="i13" data-target="r15"><label id="r13"></label>
         <input type="radio" name="g7" id="i14" data-target="r15"><label id="r14"></label><br>
      </div>
      <br>
      <p>Winner</p>
      <div id="round4">
         <label value="#8" id="r15"></label><br>
      </div>
      <br>

Note that the targets i set were directly to the labels: 
<input type="radio" ... data-target="r9">

Then to get to the corresponding radio i used previousSibling. 
I used several functions that you may not know:

querySelectorAll - to get an array of elements matching the selector passed
for ... of to iterate on all inputs retrieved by the querySelectorAll
addEventListener - to set the event handler directly on Javascript and make the code cleaner

And with just those little lines of Javascript you have the same functionality, and most importantly, without code duplication.
Now if you want to cascade a change on the first radios to the lower ones, you can call the change event directly with:
const event = new Event('change');
element.dispatchEvent(event);

Whenever you see that the target element already has a value set. This works like a recursive call:

const inputs = document.querySelectorAll("input[type=radio]"); 

for (let inp of inputs){
  inp.addEventListener("change", function(){
    let targetLabel = document.getElementById(inp.dataset.target);
    let targetRadio = targetLabel.previousSibling;
    targetRadio.value = inp.value;
    targetLabel.innerHTML = inp.value;
 
    //if this isn't the last and it's checked, to not cascade non selected radios
    if (targetRadio.hasAttribute && targetRadio.checked){ 
      const nextTargetLabel = document.getElementById(targetRadio.dataset.target);

      if (nextTargetLabel.innerHTML != ''){ //if it has a value then cascade
          targetRadio.dispatchEvent(new Event('change'));
      }
    }
  });
}
<p>First Round</p>
      <div id="round1">
         <input type="radio" name="g1" id="i1" value="#1" data-target="r9"><label id="r1">#1</label>
         <input type="radio" name="g1" id="i2" value="#8" data-target="r9"><label id="r2">#8</label><br>
         <input type="radio" name="g2" id="i3" value="#4" data-target="r10"><label id="r3">#4</label>
         <input type="radio" name="g2" id="i4" value="#5" data-target="r10"><label id="r4">#5</label><br>
         <input type="radio" name="g3" id="i5" value="#3" data-target="r11"><label id="r5">#3</label>
         <input type="radio" name="g3" id="i6" value="#6" data-target="r11"><label id="r6">#6</label><br>
         <input type="radio" name="g4" id="i7" value="#7" data-target="r12"><label id="r7">#7</label>
         <input type="radio" name="g4" id="i8" value="#2" data-target="r12"><label id="r8">#2</label><br>
      </div>
      <br>
      <p>Second Round</p>
      <div id="round2">
         <input type="radio" name="g5" id="i9" data-target="r13"><label id="r9"></label>
         <input type="radio" name="g5" id="i10" data-target="r13"><label id="r10"></label><br>
         <input type="radio" name="g6" id="i11" data-target="r14"><label id="r11"></label>
         <input type="radio" name="g6" id="i12" data-target="r14"><label id="r12"></label><br>
      </div>
      <br>
      <p>Finals</p>
      <div id="round3">
         <input type="radio" name="g7" id="i13" data-target="r15"><label id="r13"></label>
         <input type="radio" name="g7" id="i14" data-target="r15"><label id="r14"></label><br>
      </div>
      <br>
      <p>Winner</p>
      <div id="round4">
         <label value="#8" id="r15"></label><br>
      </div>
      <br>

Edit:
To clear the following radios instead of cascading the values you can use a while, and navigating with the targets until you reach the end:

const inputs = document.querySelectorAll("input[type=radio]"); 

for (let inp of inputs){
  inp.addEventListener("change", function(){
    let targetLabel = document.getElementById(inp.dataset.target);
    let targetRadio = targetLabel.previousSibling;
    targetLabel.innerHTML = inp.value;
    targetRadio.value = inp.value;

     //while there is a next target clear it
    while (targetLabel.previousSibling.hasAttribute){
      targetLabel = document.getElementById(targetRadio.dataset.target);
      targetRadio = targetLabel.previousSibling;
      targetRadio.checked = false;
      targetLabel.innerHTML = '';
    }
  });
}
<p>First Round</p>
      <div id="round1">
         <input type="radio" name="g1" id="i1" value="#1" data-target="r9"><label id="r1">#1</label>
         <input type="radio" name="g1" id="i2" value="#8" data-target="r9"><label id="r2">#8</label><br>
         <input type="radio" name="g2" id="i3" value="#4" data-target="r10"><label id="r3">#4</label>
         <input type="radio" name="g2" id="i4" value="#5" data-target="r10"><label id="r4">#5</label><br>
         <input type="radio" name="g3" id="i5" value="#3" data-target="r11"><label id="r5">#3</label>
         <input type="radio" name="g3" id="i6" value="#6" data-target="r11"><label id="r6">#6</label><br>
         <input type="radio" name="g4" id="i7" value="#7" data-target="r12"><label id="r7">#7</label>
         <input type="radio" name="g4" id="i8" value="#2" data-target="r12"><label id="r8">#2</label><br>
      </div>
      <br>
      <p>Second Round</p>
      <div id="round2">
         <input type="radio" name="g5" id="i9" data-target="r13"><label id="r9"></label>
         <input type="radio" name="g5" id="i10" data-target="r13"><label id="r10"></label><br>
         <input type="radio" name="g6" id="i11" data-target="r14"><label id="r11"></label>
         <input type="radio" name="g6" id="i12" data-target="r14"><label id="r12"></label><br>
      </div>
      <br>
      <p>Finals</p>
      <div id="round3">
         <input type="radio" name="g7" id="i13" data-target="r15"><label id="r13"></label>
         <input type="radio" name="g7" id="i14" data-target="r15"><label id="r14"></label><br>
      </div>
      <br>
      <p>Winner</p>
      <div id="round4">
         <label value="#8" id="r15"></label><br>
      </div>
      <br>