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]


dnl  ARM Neon mpn_lshift and mpn_rshift.

dnl  Contributed to the GNU project by Torbjörn Granlund.

dnl  Copyright 2013 Free Software Foundation, Inc.

dnl  This file is part of the GNU MP Library.
dnl
dnl  The GNU MP Library is free software; you can redistribute it and/or modify
dnl  it under the terms of either:
dnl
dnl    * the GNU Lesser General Public License as published by the Free
dnl      Software Foundation; either version 3 of the License, or (at your
dnl      option) any later version.
dnl
dnl  or
dnl
dnl    * the GNU General Public License as published by the Free Software
dnl      Foundation; either version 2 of the License, or (at your option) any
dnl      later version.
dnl
dnl  or both in parallel, as here.
dnl
dnl  The GNU MP Library is distributed in the hope that it will be useful, but
dnl  WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
dnl  or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU General Public License
dnl  for more details.
dnl
dnl  You should have received copies of the GNU General Public License and the
dnl  GNU Lesser General Public License along with the GNU MP Library.  If not,
dnl  see https://www.gnu.org/licenses/.

include(`../config.m4')

C	     cycles/limb     cycles/limb     cycles/limb      good
C              aligned	      unaligned	      best seen	     for cpu?
C StrongARM	 -		 -
C XScale	 -		 -
C Cortex-A7	 ?		 ?
C Cortex-A8	 ?		 ?
C Cortex-A9	 3		 3				Y
C Cortex-A15	 1.5		 1.5				Y


C We read 64 bits at a time at 32-bit aligned addresses, and except for the
C first and last store, we write using 64-bit aligned addresses.  All shifting
C is done on 64-bit words in 'extension' registers.
C
C It should be possible to read also using 64-bit alignment, by manipulating
C the shift count for unaligned operands.  Not done, since it does not seem to
C matter for A9 or A15.
C
C This will not work in big-endian mode.

C TODO
C  * Try using 128-bit operations.  Note that Neon lacks pure 128-bit shifts,
C    which might make it tricky.
C  * Clean up and simplify.
C  * Consider sharing most of the code for lshift and rshift, since the feed-in code,
C    the loop, and most of the wind-down code are identical.
C  * Replace the basecase code with code using 'extension' registers.
C  * Optimise.  It is not clear that this loop insn permutation is optimal for
C    either A9 or A15.

C INPUT PARAMETERS
define(`rp',  `r0')
define(`ap',  `r1')
define(`n',   `r2')
define(`cnt', `r3')

ifdef(`OPERATION_lshift',`
	define(`IFLSH', `$1')
	define(`IFRSH', `')
	define(`X',`0')
	define(`Y',`1')
	define(`func',`mpn_lshift')
')
ifdef(`OPERATION_rshift',`
	define(`IFLSH', `')
	define(`IFRSH', `$1')
	define(`X',`1')
	define(`Y',`0')
	define(`func',`mpn_rshift')
')

MULFUNC_PROLOGUE(mpn_lshift mpn_rshift)

ASM_START()
	TEXT
	ALIGN(64)
PROLOGUE(func)
IFLSH(`	mov	r12, n, lsl #2	')
IFLSH(`	add	rp, rp, r12	')
IFLSH(`	add	ap, ap, r12	')

	cmp	n, #4			C SIMD code n limit
	ble	L(base)

ifdef(`OPERATION_lshift',`
	vdup.32	d6, r3			C left shift count is positive
	sub	r3, r3, #64		C right shift count is negative
	vdup.32	d7, r3
	mov	r12, #-8')		C lshift pointer update offset
ifdef(`OPERATION_rshift',`
	rsb	r3, r3, #0		C right shift count is negative
	vdup.32	d6, r3
	add	r3, r3, #64		C left shift count is positive
	vdup.32	d7, r3
	mov	r12, #8')		C rshift pointer update offset

IFLSH(`	sub	ap, ap, #8	')
	vld1.32	{d19}, [ap], r12	C load initial 2 limbs
	vshl.u64 d18, d19, d7		C retval

	tst	rp, #4			C is rp 64-bit aligned already?
	beq	L(rp_aligned)		C yes, skip
IFLSH(`	add	ap, ap, #4	')	C move back ap pointer
IFRSH(`	sub	ap, ap, #4	')	C move back ap pointer
	vshl.u64 d4, d19, d6
	sub	n, n, #1		C first limb handled
IFLSH(`	sub	 rp, rp, #4	')
	vst1.32	 {d4[Y]}, [rp]IFRSH(!)	C store first limb, rp gets aligned
	vld1.32	 {d19}, [ap], r12	C load ap[1] and ap[2]

L(rp_aligned):
IFLSH(`	sub	rp, rp, #8	')
	subs	n, n, #6
	blt	L(two_or_three_more)
	tst	n, #2
	beq	L(2)

L(1):	vld1.32	 {d17}, [ap], r12
	vshl.u64 d5, d19, d6
	vld1.32	 {d16}, [ap], r12
	vshl.u64 d0, d17, d7
	vshl.u64 d4, d17, d6
	sub	n, n, #2
	b	 L(mid)

L(2):	vld1.32	 {d16}, [ap], r12
	vshl.u64 d4, d19, d6
	vld1.32	 {d17}, [ap], r12
	vshl.u64 d1, d16, d7
	vshl.u64 d5, d16, d6
	subs	n, n, #4
	blt	L(end)

L(top):	vld1.32	 {d16}, [ap], r12
	vorr	 d2, d4, d1
	vshl.u64 d0, d17, d7
	vshl.u64 d4, d17, d6
	vst1.32	 {d2}, [rp:64], r12
L(mid):	vld1.32	 {d17}, [ap], r12
	vorr	 d3, d5, d0
	vshl.u64 d1, d16, d7
	vshl.u64 d5, d16, d6
	vst1.32	 {d3}, [rp:64], r12
	subs	n, n, #4
	bge	L(top)

L(end):	tst	 n, #1
	beq	 L(evn)

	vorr	 d2, d4, d1
	vst1.32	 {d2}, [rp:64], r12
	b	 L(cj1)

L(evn):	vorr	 d2, d4, d1
	vshl.u64 d0, d17, d7
	vshl.u64 d16, d17, d6
	vst1.32	 {d2}, [rp:64], r12
	vorr	 d2, d5, d0
	b	 L(cj2)

C Load last 2 - 3 limbs, store last 4 - 5 limbs
L(two_or_three_more):
	tst	n, #1
	beq	L(l2)

L(l3):	vshl.u64 d5, d19, d6
	vld1.32	 {d17}, [ap], r12
L(cj1):	veor	 d16, d16, d16
IFLSH(`	add	 ap, ap, #4	')
	vld1.32	 {d16[Y]}, [ap], r12
	vshl.u64 d0, d17, d7
	vshl.u64 d4, d17, d6
	vorr	 d3, d5, d0
	vshl.u64 d1, d16, d7
	vshl.u64 d5, d16, d6
	vst1.32	 {d3}, [rp:64], r12
	vorr	 d2, d4, d1
	vst1.32	 {d2}, [rp:64], r12
IFLSH(`	add	 rp, rp, #4	')
	vst1.32	 {d5[Y]}, [rp]
	vmov.32	 r0, d18[X]
	bx	lr

L(l2):	vld1.32	 {d16}, [ap], r12
	vshl.u64 d4, d19, d6
	vshl.u64 d1, d16, d7
	vshl.u64 d16, d16, d6
	vorr	 d2, d4, d1
L(cj2):	vst1.32	 {d2}, [rp:64], r12
	vst1.32	 {d16}, [rp]
	vmov.32	 r0, d18[X]
	bx	lr


define(`tnc', `r12')
L(base):
	push	{r4, r6, r7, r8}
ifdef(`OPERATION_lshift',`
	ldr	r4, [ap, #-4]!
	rsb	tnc, cnt, #32

	mov	r7, r4, lsl cnt
	tst	n, #1
	beq	L(ev)			C n even

L(od):	subs	n, n, #2
	bcc	L(ed1)			C n = 1
	ldr	r8, [ap, #-4]!
	b	L(md)			C n = 3

L(ev):	ldr	r6, [ap, #-4]!
	subs	n, n, #2
	beq	L(ed)			C n = 3
					C n = 4
L(tp):	ldr	r8, [ap, #-4]!
	orr	r7, r7, r6, lsr tnc
	str	r7, [rp, #-4]!
	mov	r7, r6, lsl cnt
L(md):	ldr	r6, [ap, #-4]!
	orr	r7, r7, r8, lsr tnc
	str	r7, [rp, #-4]!
	mov	r7, r8, lsl cnt

L(ed):	orr	r7, r7, r6, lsr tnc
	str	r7, [rp, #-4]!
	mov	r7, r6, lsl cnt
L(ed1):	str	r7, [rp, #-4]
	mov	r0, r4, lsr tnc
')
ifdef(`OPERATION_rshift',`
	ldr	r4, [ap]
	rsb	tnc, cnt, #32

	mov	r7, r4, lsr cnt
	tst	n, #1
	beq	L(ev)			C n even

L(od):	subs	n, n, #2
	bcc	L(ed1)			C n = 1
	ldr	r8, [ap, #4]!
	b	L(md)			C n = 3

L(ev):	ldr	r6, [ap, #4]!
	subs	n, n, #2
	beq	L(ed)			C n = 2
					C n = 4

L(tp):	ldr	r8, [ap, #4]!
	orr	r7, r7, r6, lsl tnc
	str	r7, [rp], #4
	mov	r7, r6, lsr cnt
L(md):	ldr	r6, [ap, #4]!
	orr	r7, r7, r8, lsl tnc
	str	r7, [rp], #4
	mov	r7, r8, lsr cnt

L(ed):	orr	r7, r7, r6, lsl tnc
	str	r7, [rp], #4
	mov	r7, r6, lsr cnt
L(ed1):	str	r7, [rp], #4
	mov	r0, r4, lsl tnc
')
	pop	{r4, r6, r7, r8}
	bx	r14
EPILOGUE()