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]


/*
 * Ultra Wide Band
 * DRP availability management
 *
 * Copyright (C) 2005-2006 Intel Corporation
 * Reinette Chatre <<PRESIDIO_ANONYMIZED_EMAIL_ADDRESS>>
 * Copyright (C) 2008 Cambridge Silicon Radio Ltd.
 *
 * This program is free software; you can redistribute it and/or
 * modify it under the terms of the GNU General Public License version
 * 2 as published by the Free Software Foundation.
 *
 * This program is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
 * GNU General Public License for more details.
 *
 * You should have received a copy of the GNU General Public License
 * along with this program.  If not, see <http://www.gnu.org/licenses/>.
 *
 *
 * Manage DRP Availability (the MAS available for DRP
 * reservations). Thus:
 *
 * - Handle DRP Availability Change notifications
 *
 * - Allow the reservation manager to indicate MAS reserved/released
 *   by local (owned by/targeted at the radio controller)
 *   reservations.
 *
 * - Based on the two sources above, generate a DRP Availability IE to
 *   be included in the beacon.
 *
 * See also the documentation for struct uwb_drp_avail.
 */

#include <linux/errno.h>
#include <linux/module.h>
#include <linux/device.h>
#include <linux/bitmap.h>
#include "uwb-internal.h"

/**
 * uwb_drp_avail_init - initialize an RC's MAS availability
 *
 * All MAS are available initially.  The RC will inform use which
 * slots are used for the BP (it may change in size).
 */
void uwb_drp_avail_init(struct uwb_rc *rc)
{
	bitmap_fill(rc->drp_avail.global, UWB_NUM_MAS);
	bitmap_fill(rc->drp_avail.local, UWB_NUM_MAS);
	bitmap_fill(rc->drp_avail.pending, UWB_NUM_MAS);
}

/*
 * Determine MAS available for new local reservations.
 *
 * avail = global & local & pending
 */
void uwb_drp_available(struct uwb_rc *rc, struct uwb_mas_bm *avail)
{
	bitmap_and(avail->bm, rc->drp_avail.global, rc->drp_avail.local, UWB_NUM_MAS);
	bitmap_and(avail->bm, avail->bm, rc->drp_avail.pending, UWB_NUM_MAS);
}

/**
 * uwb_drp_avail_reserve_pending - reserve MAS for a new reservation
 * @rc: the radio controller
 * @mas: the MAS to reserve
 *
 * Returns 0 on success, or -EBUSY if the MAS requested aren't available.
 */
int uwb_drp_avail_reserve_pending(struct uwb_rc *rc, struct uwb_mas_bm *mas)
{
	struct uwb_mas_bm avail;

	uwb_drp_available(rc, &avail);
	if (!bitmap_subset(mas->bm, avail.bm, UWB_NUM_MAS))
		return -EBUSY;

	bitmap_andnot(rc->drp_avail.pending, rc->drp_avail.pending, mas->bm, UWB_NUM_MAS);
	return 0;
}

/**
 * uwb_drp_avail_reserve - reserve MAS for an established reservation
 * @rc: the radio controller
 * @mas: the MAS to reserve
 */
void uwb_drp_avail_reserve(struct uwb_rc *rc, struct uwb_mas_bm *mas)
{
	bitmap_or(rc->drp_avail.pending, rc->drp_avail.pending, mas->bm, UWB_NUM_MAS);
	bitmap_andnot(rc->drp_avail.local, rc->drp_avail.local, mas->bm, UWB_NUM_MAS);
	rc->drp_avail.ie_valid = false;
}

/**
 * uwb_drp_avail_release - release MAS from a pending or established reservation
 * @rc: the radio controller
 * @mas: the MAS to release
 */
void uwb_drp_avail_release(struct uwb_rc *rc, struct uwb_mas_bm *mas)
{
	bitmap_or(rc->drp_avail.local, rc->drp_avail.local, mas->bm, UWB_NUM_MAS);
	bitmap_or(rc->drp_avail.pending, rc->drp_avail.pending, mas->bm, UWB_NUM_MAS);
	rc->drp_avail.ie_valid = false;
	uwb_rsv_handle_drp_avail_change(rc);
}

/**
 * uwb_drp_avail_ie_update - update the DRP Availability IE
 * @rc: the radio controller
 *
 * avail = global & local
 */
void uwb_drp_avail_ie_update(struct uwb_rc *rc)
{
	struct uwb_mas_bm avail;

	bitmap_and(avail.bm, rc->drp_avail.global, rc->drp_avail.local, UWB_NUM_MAS);

	rc->drp_avail.ie.hdr.element_id = UWB_IE_DRP_AVAILABILITY;
	rc->drp_avail.ie.hdr.length = UWB_NUM_MAS / 8;
	uwb_mas_bm_copy_le(rc->drp_avail.ie.bmp, &avail);
	rc->drp_avail.ie_valid = true;
}

/**
 * Create an unsigned long from a buffer containing a byte stream.
 *
 * @array: pointer to buffer
 * @itr:   index of buffer from where we start
 * @len:   the buffer's remaining size may not be exact multiple of
 *         sizeof(unsigned long), @len is the length of buffer that needs
 *         to be converted. This will be sizeof(unsigned long) or smaller
 *         (BUG if not). If it is smaller then we will pad the remaining
 *         space of the result with zeroes.
 */
static
unsigned long get_val(u8 *array, size_t itr, size_t len)
{
	unsigned long val = 0;
	size_t top = itr + len;

	BUG_ON(len > sizeof(val));

	while (itr < top) {
		val <<= 8;
		val |= array[top - 1];
		top--;
	}
	val <<= 8 * (sizeof(val) - len); /* padding */
	return val;
}

/**
 * Initialize bitmap from data buffer.
 *
 * The bitmap to be converted could come from a IE, for example a
 * DRP Availability IE.
 * From ECMA-368 1.0 [16.8.7]: "
 * octets: 1            1               N * (0 to 32)
 *         Element ID   Length (=N)     DRP Availability Bitmap
 *
 * The DRP Availability Bitmap field is up to 256 bits long, one
 * bit for each MAS in the superframe, where the least-significant
 * bit of the field corresponds to the first MAS in the superframe
 * and successive bits correspond to successive MASs."
 *
 * The DRP Availability bitmap is in octets from 0 to 32, so octet
 * 32 contains bits for MAS 1-8, etc. If the bitmap is smaller than 32
 * octets, the bits in octets not included at the end of the bitmap are
 * treated as zero. In this case (when the bitmap is smaller than 32
 * octets) the MAS represented range from MAS 1 to MAS (size of bitmap)
 * with the last octet still containing bits for MAS 1-8, etc.
 *
 * For example:
 * F00F0102 03040506 0708090A 0B0C0D0E 0F010203
 * ^^^^
 * ||||
 * ||||
 * |||\LSB of byte is MAS 9
 * ||\MSB of byte is MAS 16
 * |\LSB of first byte is MAS 1
 * \ MSB of byte is MAS 8
 *
 * An example of this encoding can be found in ECMA-368 Annex-D [Table D.11]
 *
 * The resulting bitmap will have the following mapping:
 *	bit position 0 == MAS 1
 *	bit position 1 == MAS 2
 *	...
 *	bit position (UWB_NUM_MAS - 1) == MAS UWB_NUM_MAS
 *
 * @bmp_itr:	pointer to bitmap (can be declared with DECLARE_BITMAP)
 * @buffer:	pointer to buffer containing bitmap data in big endian
 *              format (MSB first)
 * @buffer_size:number of bytes with which bitmap should be initialized
 */
static
void buffer_to_bmp(unsigned long *bmp_itr, void *_buffer,
		   size_t buffer_size)
{
	u8 *buffer = _buffer;
	size_t itr, len;
	unsigned long val;

	itr = 0;
	while (itr < buffer_size) {
		len = buffer_size - itr >= sizeof(val) ?
			sizeof(val) : buffer_size - itr;
		val = get_val(buffer, itr, len);
		bmp_itr[itr / sizeof(val)] = val;
		itr += sizeof(val);
	}
}


/**
 * Extract DRP Availability bitmap from the notification.
 *
 * The notification that comes in contains a bitmap of (UWB_NUM_MAS / 8) bytes
 * We convert that to our internal representation.
 */
static
int uwbd_evt_get_drp_avail(struct uwb_event *evt, unsigned long *bmp)
{
	struct device *dev = &evt->rc->uwb_dev.dev;
	struct uwb_rc_evt_drp_avail *drp_evt;
	int result = -EINVAL;

	/* Is there enough data to decode the event? */
	if (evt->notif.size < sizeof(*drp_evt)) {
		dev_err(dev, "DRP Availability Change: Not enough "
			"data to decode event [%zu bytes, %zu "
			"needed]\n", evt->notif.size, sizeof(*drp_evt));
		goto error;
	}
	drp_evt = container_of(evt->notif.rceb, struct uwb_rc_evt_drp_avail, rceb);
	buffer_to_bmp(bmp, drp_evt->bmp, UWB_NUM_MAS/8);
	result = 0;
error:
	return result;
}


/**
 * Process an incoming DRP Availability notification.
 *
 * @evt:	Event information (packs the actual event data, which
 *              radio controller it came to, etc).
 *
 * @returns:    0 on success (so uwbd() frees the event buffer), < 0
 *              on error.
 *
 * According to ECMA-368 1.0 [16.8.7], bits set to ONE indicate that
 * the MAS slot is available, bits set to ZERO indicate that the slot
 * is busy.
 *
 * So we clear available slots, we set used slots :)
 *
 * The notification only marks non-availability based on the BP and
 * received DRP IEs that are not for this radio controller.  A copy of
 * this bitmap is needed to generate the real availability (which
 * includes local and pending reservations).
 *
 * The DRP Availability IE that this radio controller emits will need
 * to be updated.
 */
int uwbd_evt_handle_rc_drp_avail(struct uwb_event *evt)
{
	int result;
	struct uwb_rc *rc = evt->rc;
	DECLARE_BITMAP(bmp, UWB_NUM_MAS);

	result = uwbd_evt_get_drp_avail(evt, bmp);
	if (result < 0)
		return result;

	mutex_lock(&rc->rsvs_mutex);
	bitmap_copy(rc->drp_avail.global, bmp, UWB_NUM_MAS);
	rc->drp_avail.ie_valid = false;
	uwb_rsv_handle_drp_avail_change(rc);
	mutex_unlock(&rc->rsvs_mutex);

	uwb_rsv_sched_update(rc);

	return 0;
}