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]


/* This Source Code Form is subject to the terms of the Mozilla Public
 * License, v. 2.0. If a copy of the MPL was not distributed with this
 * file, You can obtain one at http://mozilla.org/MPL/2.0/. */

// @flow

import * as React from 'react';
import { withSize } from '../shared/WithSize';
import explicitConnect from '../../utils/connect';
import { formatBytes } from '../../utils/format-numbers';
import {
  getCommittedRange,
  getCounterSelectors,
  getProfileInterval,
} from '../../selectors/profile';
import { getThreadSelectors } from '../../selectors/per-thread';
import { ORANGE_50 } from 'photon-colors';
import Tooltip from '../tooltip/Tooltip';
import EmptyThreadIndicator from './EmptyThreadIndicator';
import bisection from 'bisection';

import type {
  CounterIndex,
  Counter,
  Thread,
  ThreadIndex,
  AccumulatedCounterSamples,
  Milliseconds,
  CssPixels,
  StartEndRange,
} from 'firefox-profiler/types';

import type { SizeProps } from '../shared/WithSize';
import type { ConnectedProps } from '../../utils/connect';

import './TrackMemory.css';

/**
 * When adding properties to these props, please consider the comment above the component.
 */
type CanvasProps = {|
  +rangeStart: Milliseconds,
  +rangeEnd: Milliseconds,
  +counter: Counter,
  +accumulatedSamples: AccumulatedCounterSamples[],
  +interval: Milliseconds,
  +width: CssPixels,
  +height: CssPixels,
  +lineWidth: CssPixels,
|};

/**
 * This component controls the rendering of the canvas. Every render call through
 * React triggers a new canvas render. Because of this, it's important to only pass
 * in the props that are needed for the canvas draw call.
 */
class TrackMemoryCanvas extends React.PureComponent<CanvasProps> {
  _canvas: null | HTMLCanvasElement = null;
  _requestedAnimationFrame: boolean = false;

  drawCanvas(canvas: HTMLCanvasElement): void {
    const {
      rangeStart,
      rangeEnd,
      counter,
      height,
      width,
      lineWidth,
      interval,
      accumulatedSamples,
    } = this.props;
    if (width === 0) {
      // This is attempting to draw before the canvas was laid out.
      return;
    }

    const ctx = canvas.getContext('2d');
    const devicePixelRatio = window.devicePixelRatio;
    const deviceWidth = width * devicePixelRatio;
    const deviceHeight = height * devicePixelRatio;
    const deviceLineWidth = lineWidth * devicePixelRatio;
    const deviceLineHalfWidth = deviceLineWidth * 0.5;
    const innerDeviceHeight = deviceHeight - deviceLineWidth;
    const rangeLength = rangeEnd - rangeStart;
    const millisecondWidth = deviceWidth / rangeLength;
    const intervalWidth = interval * millisecondWidth;

    // Resize and clear the canvas.
    canvas.width = Math.round(deviceWidth);
    canvas.height = Math.round(deviceHeight);
    ctx.clearRect(0, 0, deviceWidth, deviceHeight);

    const sampleGroups = counter.sampleGroups;
    if (sampleGroups.length === 0) {
      // Gecko failed to capture samples for some reason and it shouldn't happen for
      // malloc counter. Print an error and do not draw anything.
      throw new Error('No sample group found for memory counter');
    }

    const samples = counter.sampleGroups[0].samples;
    if (samples.length === 0) {
      // There's no reason to draw the samples, there are none.
      return;
    }

    // Take the sample information, and convert it into chart coordinates. Use a slightly
    // smaller space than the deviceHeight, so that the stroke will be fully visible
    // both at the top and bottom of the chart.
    if (accumulatedSamples.length === 0) {
      // Gecko failed to capture samples for some reason and it shouldn't happen for
      // malloc counter. Print an error and bail out early.
      throw new Error('No accumulated sample found for memory counter');
    }
    const { minCount, countRange, accumulatedCounts } = accumulatedSamples[0];

    {
      // Draw the chart.
      //
      //                 ...--`
      //  1 ...---```..--      `--. 2
      //    |_____________________|
      //  4                        3
      //
      // Start by drawing from 1 - 2. This will be the top of all the peaks of the
      // memory graph.

      ctx.lineWidth = deviceLineWidth;
      ctx.strokeStyle = ORANGE_50;
      ctx.fillStyle = '#ff940088'; // Orange 50 with transparency.
      ctx.beginPath();

      // The x and y are used after the loop.
      let x = 0;
      let y = 0;
      let firstX = 0;
      for (let i = 0; i < samples.length; i++) {
        // Create a path for the top of the chart. This is the line that will have
        // a stroke applied to it.
        x = (samples.time[i] - rangeStart) * millisecondWidth;
        // Add on half the stroke's line width so that it won't be cut off the edge
        // of the graph.
        const unitGraphCount = (accumulatedCounts[i] - minCount) / countRange;
        y =
          innerDeviceHeight -
          innerDeviceHeight * unitGraphCount +
          deviceLineHalfWidth;
        if (i === 0) {
          // This is the first iteration, only move the line, do not draw it. Also
          // remember this first X, as the bottom of the graph will need to connect
          // back up to it.
          firstX = x;
          ctx.moveTo(x, y);
        } else {
          ctx.lineTo(x, y);
        }
      }
      // The samples range ends at the time of the last sample, plus the interval.
      // Draw this last bit.
      ctx.lineTo(x + intervalWidth, y);

      // Don't do the fill yet, just stroke the top line. This will draw a line from
      // point 1 to 2 in the diagram above.
      ctx.stroke();

      // After doing the stroke, continue the path to complete the fill to the bottom
      // of the canvas. This continues the path to point 3 and then 4.

      // Create a line from 2 to 3.
      ctx.lineTo(x + intervalWidth, deviceHeight);

      // Create a line from 3 to 4.
      ctx.lineTo(firstX, deviceHeight);

      // The line from 4 to 1 will be implicitly filled in.
      ctx.fill();
    }
  }

  _scheduleDraw() {
    if (!this._requestedAnimationFrame) {
      this._requestedAnimationFrame = true;
      window.requestAnimationFrame(() => {
        this._requestedAnimationFrame = false;
        const canvas = this._canvas;
        if (canvas) {
          this.drawCanvas(canvas);
        }
      });
    }
  }

  _takeCanvasRef = (canvas: HTMLCanvasElement | null) => {
    this._canvas = canvas;
  };

  render() {
    this._scheduleDraw();

    return (
      <canvas className="timelineTrackMemoryCanvas" ref={this._takeCanvasRef} />
    );
  }
}

type OwnProps = {|
  +counterIndex: CounterIndex,
  +lineWidth: CssPixels,
  +graphHeight: CssPixels,
|};

type StateProps = {|
  +threadIndex: ThreadIndex,
  +rangeStart: Milliseconds,
  +rangeEnd: Milliseconds,
  +counter: Counter,
  +accumulatedSamples: AccumulatedCounterSamples[],
  +interval: Milliseconds,
  +filteredThread: Thread,
  +unfilteredSamplesRange: StartEndRange | null,
|};

type DispatchProps = {||};

type Props = {|
  ...SizeProps,
  ...ConnectedProps<OwnProps, StateProps, DispatchProps>,
|};

type State = {|
  hoveredCounter: null | number,
  mouseX: CssPixels,
  mouseY: CssPixels,
|};

/**
 * The memory track graph takes memory information from counters, and renders it as a
 * graph in the timeline.
 */
class TrackMemoryGraphImpl extends React.PureComponent<Props, State> {
  state = {
    hoveredCounter: null,
    mouseX: 0,
    mouseY: 0,
  };

  _onMouseLeave = () => {
    this.setState({ hoveredCounter: null });
  };

  _onMouseMove = (event: SyntheticMouseEvent<HTMLDivElement>) => {
    const { pageX: mouseX, pageY: mouseY } = event;
    // Get the offset from here, and apply it to the time lookup.
    const { left } = event.currentTarget.getBoundingClientRect();
    const { width, rangeStart, rangeEnd, counter, interval } = this.props;
    const rangeLength = rangeEnd - rangeStart;
    const timeAtMouse = rangeStart + ((mouseX - left) / width) * rangeLength;

    if (counter.sampleGroups.length === 0) {
      // Gecko failed to capture samples for some reason and it shouldn't happen for
      // malloc counter. Print an error and bail out early.
      throw new Error('No sample group found for memory counter');
    }
    const { samples } = counter.sampleGroups[0];

    if (
      timeAtMouse < samples.time[0] ||
      timeAtMouse > samples.time[samples.length - 1] + interval
    ) {
      // We are outside the range of the samples, do not display hover information.
      this.setState({ hoveredCounter: null });
    } else {
      // When the mouse pointer hovers between two points, select the point that's closer.
      let hoveredCounter;
      const bisectionCounter = bisection.right(samples.time, timeAtMouse);
      if (bisectionCounter > 0 && bisectionCounter < samples.time.length) {
        const leftDistance = timeAtMouse - samples.time[bisectionCounter - 1];
        const rightDistance = samples.time[bisectionCounter] - timeAtMouse;
        if (leftDistance < rightDistance) {
          // Left point is closer
          hoveredCounter = bisectionCounter - 1;
        } else {
          // Right point is closer
          hoveredCounter = bisectionCounter;
        }
      } else {
        hoveredCounter = bisectionCounter;
      }

      if (hoveredCounter === samples.length) {
        // When hovering the last sample, it's possible the mouse is past the time.
        // In this case, hover over the last sample. This happens because of the
        // ` + interval` line in the `if` condition above.
        hoveredCounter = samples.time.length - 1;
      }

      this.setState({
        mouseX,
        mouseY,
        hoveredCounter,
      });
    }
  };

  _renderTooltip(counterIndex: number): React.Node {
    if (this.props.accumulatedSamples.length === 0) {
      // Gecko failed to capture samples for some reason and it shouldn't happen for
      // malloc counter. Print an error and bail out early.
      throw new Error('No accumulated sample found for memory counter');
    }
    const {
      minCount,
      countRange,
      accumulatedCounts,
    } = this.props.accumulatedSamples[0];
    const bytes = accumulatedCounts[counterIndex] - minCount;
    return (
      <div className="timelineTrackMemoryTooltip">
        <div className="timelineTrackMemoryTooltipLine">
          <span className="timelineTrackMemoryTooltipNumber">
            {formatBytes(bytes)}
          </span>
          {' relative memory at this time'}
        </div>
        <div className="timelineTrackMemoryTooltipLine">
          <span className="timelineTrackMemoryTooltipNumber">
            {formatBytes(countRange)}
          </span>
          {' memory range in graph'}
        </div>
      </div>
    );
  }

  /**
   * Create a div that is a dot on top of the graph representing the current
   * height of the graph.
   */
  _renderMemoryDot(counterIndex: number): React.Node {
    const {
      counter,
      rangeStart,
      rangeEnd,
      graphHeight,
      width,
      lineWidth,
      accumulatedSamples,
    } = this.props;

    if (counter.sampleGroups.length === 0) {
      // Gecko failed to capture samples for some reason and it shouldn't happen for
      // malloc counter. Print an error and bail out early.
      throw new Error('No sample group found for memory counter');
    }
    const { samples } = counter.sampleGroups[0];
    const rangeLength = rangeEnd - rangeStart;
    const left =
      (width * (samples.time[counterIndex] - rangeStart)) / rangeLength;

    if (accumulatedSamples.length === 0) {
      // Gecko failed to capture samples for some reason and it shouldn't happen for
      // malloc counter. Print an error and bail out early.
      throw new Error('No accumulated sample found for memory counter');
    }
    const { minCount, countRange, accumulatedCounts } = accumulatedSamples[0];
    const unitSampleCount =
      (accumulatedCounts[counterIndex] - minCount) / countRange;
    const innerTrackHeight = graphHeight - lineWidth / 2;
    const top =
      innerTrackHeight - unitSampleCount * innerTrackHeight + lineWidth / 2;

    return (
      <div style={{ left, top }} className="timelineTrackMemoryGraphDot" />
    );
  }

  render() {
    const { hoveredCounter, mouseX, mouseY } = this.state;
    const {
      filteredThread,
      interval,
      rangeStart,
      rangeEnd,
      unfilteredSamplesRange,
      counter,
      graphHeight,
      width,
      lineWidth,
      accumulatedSamples,
    } = this.props;

    return (
      <div
        className="timelineTrackMemoryGraph"
        onMouseMove={this._onMouseMove}
        onMouseLeave={this._onMouseLeave}
      >
        <TrackMemoryCanvas
          rangeStart={rangeStart}
          rangeEnd={rangeEnd}
          counter={counter}
          height={graphHeight}
          width={width}
          lineWidth={lineWidth}
          interval={interval}
          accumulatedSamples={accumulatedSamples}
        />
        {hoveredCounter === null ? null : (
          <>
            {this._renderMemoryDot(hoveredCounter)}
            <Tooltip mouseX={mouseX} mouseY={mouseY}>
              {this._renderTooltip(hoveredCounter)}
            </Tooltip>
          </>
        )}
        <EmptyThreadIndicator
          thread={filteredThread}
          interval={interval}
          rangeStart={rangeStart}
          rangeEnd={rangeEnd}
          unfilteredSamplesRange={unfilteredSamplesRange}
        />
      </div>
    );
  }
}

export const TrackMemoryGraph = explicitConnect<
  OwnProps,
  StateProps,
  DispatchProps
>({
  mapStateToProps: (state, ownProps) => {
    const { counterIndex } = ownProps;
    const counterSelectors = getCounterSelectors(counterIndex);
    const counter = counterSelectors.getCommittedRangeFilteredCounter(state);
    const { start, end } = getCommittedRange(state);
    const selectors = getThreadSelectors(counter.mainThreadIndex);
    return {
      counter,
      threadIndex: counter.mainThreadIndex,
      accumulatedSamples: counterSelectors.getAccumulateCounterSamples(state),
      rangeStart: start,
      rangeEnd: end,
      interval: getProfileInterval(state),
      filteredThread: selectors.getFilteredThread(state),
      unfilteredSamplesRange: selectors.unfilteredSamplesRange(state),
    };
  },
  component: withSize<Props>(TrackMemoryGraphImpl),
});