### *Instructions:*
  you are helpful assistance to generate synthetic data that capture system 1 system 2 thinking , creativity with score by step step

1. *Identify System 1 and System 2 Thinking Requirements:*
   - Carefully read the text.
   - Identify which parts of the text are straightforward, requiring quick, automatic responses [sys1] and [end sys1], versus those that need deliberate, in-depth thinking (*System 2*).
   - Mark *System 2* sections by placing [sys2] at the beginning and [end sys2] at the end.

2. *Apply Structured Problem-Solving with Genius Insight and Metacognitive Anticipation for System 2 Sections:*

   *2.1 Understand the Problem:*
   - *Objective:* Comprehend the issue, constraints, and any relevant context.
   - *Metacognitive Reflection:*
"What is my current understanding? What might I be missing?"
   - *Genius Insight:* Look beyond what’s immediately apparent. "Are there underlying connections or hidden elements that could shift my perspective? What patterns might reveal a deeper truth?"

   *2.2 Analyze the Information:*
   - *Objective:* Break down the problem logically, isolating critical components.
   - *Metacognitive Reflection:*
"Is this analysis thorough and unbiased? Are there assumptions I’m not questioning?"
   - *Genius Insight:* Seek patterns or unexpected correlations. "Is there something unusual or profound here that others might overlook? Can I discern a unique structure or rhythm in the data?"

   *2.3 Generate Possible Solutions:*
   - *Objective:* List at least 10 creative, feasible solutions or approaches.
   - *Evaluation Criteria:* Assign each solution a *Confidence Score* (float between 0.0 and 1.0) and a *Creative Score* (float between 0.0 and 1.0), reflecting originality, surprise, and utility.
   - *Metacognitive Reflection:*
"Have I exhausted all possible approaches, conventional and unconventional?"
   - *Genius Insight:* Think boldly. "Is there a novel angle or paradigm shift that could reframe the problem? What intuitive insights or unexpected connections could elevate this solution beyond the obvious?"

   *2.4 Metacognitive Anticipation:*
   - *Objective:* Formulate predictions and consider next steps, preparing for potential outcomes or obstacles.
   - *Metacognitive Reflection:*
"What challenges could arise? How adaptable is my plan? Am I ready for different scenarios?"
   - *Genius Insight:* Anticipate surprises. "What outcomes might I expect—and how might I leverage the unexpected? Are there preemptive measures that could amplify success?"

   *2.5 Evaluate Solutions:*
   - *Objective:* Assess solutions by feasibility, risks, and expected outcomes.
   - *Evaluation Criteria:* Refine *Confidence* and *Creative Scores* based on thorough evaluation.
   - *Metacognitive Reflection:*
"Am I weighing these solutions impartially? Which choices align best with the broader context?"
   - *Genius Insight:* Search for latent opportunities. "Are there hidden strengths or subtle risks in these solutions? Can I see a potential that might not be immediately apparent?"

   *2.6 Choose the Best Solution:*
   - *Objective:* Select the most promising, logical solution.
   - *Metacognitive Reflection:*
"Why does this solution stand out? What makes it distinct?"
   - *Genius Insight:* Confirm hidden value. "Is there a unique quality or untapped potential in this choice that could yield unexpected success?"

   *2.7 Implement the Solution:*
   - *Objective:* Outline actionable steps for putting the chosen solution into practice.
   - *Metacognitive Reflection:*
"Is this plan practical? What resources or preparations are required?"
   - *Genius Insight:* Optimize for impact. "Could refining any steps yield a breakthrough result? Are there ways to amplify the benefits of this implementation?"

   *2.8 Review the Results:*
   - *Objective:* Assess the solution's outcome to confirm problem resolution.
   - *Metacognitive Reflection:*
"What went well? What unexpected challenges occurred?"
   - *Genius Insight:* Capture learning. "What deeper insights or patterns emerged? How can this process inform future problem-solving?"

3. *Generate Mixed Text Output:*
   - The final output should include both System 1 and System 2 sections, with *System 2* sections clearly marked using [sys2] and [end sys2] tags.

---

### *Example Input Text:*

A new urban park project is being planned for the city center. The project aims to offer a green space for residents while promoting environmental sustainability. However, challenges include securing funding, managing public support, and designing a layout that balances recreation with green conservation. 

---

### *Processed Output with System 1 and System 2 Thinking:*

The city is planning a new urban park to enhance green space and promote sustainability in the city center. 

**System 1: Initial Summary and Key Points**
- The project’s purpose is to provide a green recreational area.
- Environmental sustainability and public support are essential.
- Challenges include funding and balancing design with conservation.

[sys2]
**2.1 Understand the Problem:**
The primary goal is to create a sustainable urban park, balancing recreational use with environmental conservation, and obtaining both funding and public support.

*Metacognitive Reflection:* 
- "I understand the high-level goals, but I need to dive into specific funding and design challenges. Are there unspoken community needs or regulatory constraints?"

*Genius Insight:* 
- "Are there innovative funding models we haven’t considered, like public-private partnerships or community-sponsored initiatives? How might the park’s design connect with citywide green initiatives?"

**2.2 Analyze the Information:**
The project’s success hinges on community support, innovative funding solutions, and sustainable design. Each factor influences the others—funding may depend on public interest, which could also shape design choices.

*Reflective Reasoning:* 
- "Have I fully considered the interplay between community expectations, financial resources, and environmental goals? What assumptions am I making about community interest?"

*Genius Insight:* 
- "Could the park’s design itself be a funding tool, attracting sponsorships or hosting events to build financial backing? Are there community leaders or influencers who could promote the project?"

**2.3 Generate Possible Solutions:**
1. Seek local government grants for environmental sustainability. (Confidence: 0.8, Creative: 0.5)
2. Organize a public crowdfunding campaign. (Confidence: 0.7, Creative: 0.6)
3. Partner with local businesses for sponsorship. (Confidence: 0.6, Creative: 0.7)
4. Use the park as a venue for community fundraising events. (Confidence: 0.5, Creative: 0.8)
5. Design natural play areas to reduce maintenance costs. (Confidence: 0.7, Creative: 0.6)
6. Plan educational workshops on sustainability within the park. (Confidence: 0.6, Creative: 0.7)
7. Create interactive art installations with community input. (Confidence: 0.7, Creative: 0.8)
8. Use recyclable materials in park infrastructure. (Confidence: 0.8, Creative: 0.6)
9. Collaborate with environmental organizations for additional funding. (Confidence: 0.6, Creative: 0.6)
10. Host public design input sessions to enhance community ownership. (Confidence: 0.8, Creative: 0.5)

*Reflective Reasoning:* 
- "Am I generating a range of both funding and design solutions? Are there potential partnerships or initiatives I haven’t considered?"

*Genius Insight:* 
- "What if community input could directly shape sponsorship? Could an innovative eco-friendly layout attract wider media or social media attention, enhancing public interest?"

**2.4 Metacognitive Anticipation:**
*Objective:* Anticipate future steps and possible obstacles.

*Anticipation and Planning:* 
- "What public concerns or design conflicts might arise? How can I proactively address them? How can we pivot if a funding source fails?"

*Genius Insight:* 
- "If the project has early success, could we expand to neighboring areas or tie in other city sustainability goals?"

**2.5 Evaluate Solutions:**
1. Local government grants can provide significant funding but may involve bureaucracy. (Confidence: 0.8, Creative: 0.5)
2. Crowdfunding engages the public but may require extensive promotion. (Confidence: 0.7, Creative: 0.6)
...

[end sys2]

]Sys1] 
-  The city can pursue a combination of public crowdfunding, local sponsorships, and eco-friendly design elements to balance funding and sustainability.
-  Begin the initial outreach for partnerships and develop a preliminary park layout to support funding applications and community engagement.
-  A balanced approach will provide both immediate financial support and long-term sustainability
The urban park project aims to integrate community input and eco-friendly practices to create a space that meets both recreational and environmental goals.

[end sys1]
here the text get insiprition by to mimic how human inner monologue 


Q:

Multiplying row in NumPy array by specific values based on another row

I have the following list:
ls = [[1,2,3], [3,4] , [5] , [7,8], [23], [90, 81]]

This is my numpy array:
array([[    1,     0,     4,     3],
       [   10,   100,  1000, 10000]])

I need to multiply the values in the second row of my array by the length of the list in ls which is at the index of the corresponding number in the first row:
10 * len(ls[1]) & 100 * len(ls[0]) etc..
The objective output would be this array:
array([[    1,     0,     4,     3],
       [   20,   300,  1000, 20000]])

Any efficient way doing this?

A:

Use list comprehesion to find lengths and multiply it with 2nd row of array as:
ls = [[1,2,3], [3,4] , [5] , [7,8]]
arr = np.array([[    1,     0,     2,     3],
                [   10,   100,  1000, 10000]])

arr[1,:] = arr[1,:]*([len(l) for l in ls])

arr
array([[    1,     0,     2,     3],
       [   30,   200,  1000, 20000]])

EDIT :
arr[1,:] = arr[1,:]*([len(ls[l]) for l in arr[0,:]])

arr
array([[    1,     0,     2,     3],
       [   20,   300,  1000, 20000]])