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    <article-meta>
      <contrib-group>
        <aff id="aff0">
          <label>0</label>
          <institution>Department of Computing, Atlantic Technological University</institution>
          ,
          <addr-line>Letterkenny, Donegal</addr-line>
          ,
          <country country="IE">Ireland</country>
        </aff>
      </contrib-group>
      <abstract>
        <p>Accurate crop yield prediction is essential for sustainable agriculture and food security. Traditional methods often fall short in addressing the complex factors influencing crop growth. This paper explores the use of neural architecture search (NAS) combined with multimodal data integration to improve prediction accuracy. By incorporating diverse data sources such as unmanned aerial vehicle (UAV) imagery, and weather data, the research develops a framework for crop yield prediction. NAS techniques systematically identify optimal neural network architectures to handle these varied datasets effectively. The approach is validated with real-world agricultural data, showing that NAS-optimised models significantly outperform traditional methods. This work enhances precision agriculture, enabling better resource allocation and sustainable farming practices.</p>
      </abstract>
      <kwd-group>
        <kwd>eol&gt;Crop Yield Prediction</kwd>
        <kwd>Neural Architecture Search</kwd>
        <kwd>Multimodal Data Integration</kwd>
        <kwd>Machine Learning *</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec id="sec-1">
      <title>1. Introduction</title>
      <p>
        In today’s agriculture sector, accurately predicting crop yields is essential for making
wellinformed decisions and promoting sustainable farming practices. Precise yield forecasts can
significantly impact the success and flexibility of agricultural operations, aiding in efficient
resource allocation and adaptation to market fluctuations [
        <xref ref-type="bibr" rid="ref1">1</xref>
        ]. Traditional prediction methods often
struggle to consider the complex array of factors that influence crop growth and productivity [
        <xref ref-type="bibr" rid="ref2">2</xref>
        ].
This challenge has sparked a wave of enthusiasm for using cutting-edge technologies such as
machine learning and data science to enhance predictive models.
      </p>
      <p>
        One of the encouraging approaches is integrating neural architecture search (NAS) techniques with
multimodal data. NAS methods have the potential to revolutionise how we perceive and forecast
crop yields [
        <xref ref-type="bibr" rid="ref3">3</xref>
        ]. By utilising various data sources such as UAV imagery, weather data, soil
conditions, and agronomic practices, multimodal approaches offer a more comprehensive
understanding of the factors shaping crop outcomes. This paper explores the potential of
NASbased methodologies in enhancing crop yield prediction through multimodal data fusion,
ultimately aiming to advance sustainable agricultural practices and provide stakeholders with
valuable insights to guide their decisions.
      </p>
      <p>
        Crop yield prediction is incredibly important in modern agriculture. It’s not just about
estimating how much food we’ll have; it’s about ensuring global food security, maintaining
economic stability, and promoting sustainable development. As the world’s population continues
to grow and is expected to exceed 9 billion by 2050, the demand for food will skyrocket, putting
huge pressure on our agricultural systems [
        <xref ref-type="bibr" rid="ref4">4</xref>
        ]. Accurately forecasting crop yields becomes crucial
in this scenario, as it allows farmers and stakeholders to plan ahead, allocate resources effectively,
and manage risks proactively. By knowing what to expect from future harvests, farmers can make
smart decisions about water usage, fertilisers, and pesticides, ensuring they get the most out of
their crops while minimising waste and environmental harm. Moreover, reliable yield predictions
enable policymakers to create well-informed policies, identify areas that are particularly
vulnerable, and develop specific actions to make agriculture stronger and fight against food
insecurity.
      </p>
      <p>
        Machine learning (ML) has revolutionised agriculture, offering powerful tools to analyse vast
datasets and address challenges such as predicting yields, detecting diseases, and optimising
resource management [
        <xref ref-type="bibr" rid="ref5">5</xref>
        ]. Neural networks, known for capturing complex agricultural patterns,
enable precision farming and sustainable practices across diverse conditions. Despite technological
advancements, accurately predicting crop yields remains complex due to varied environmental
factors and data challenges [
        <xref ref-type="bibr" rid="ref6">6</xref>
        ]. Integrating multimodal data enhances prediction accuracy and
strength, yet requires advanced computational techniques such as NAS for optimal model design
[
        <xref ref-type="bibr" rid="ref7">7</xref>
        ]. This research aims to improve crop yield prediction through NAS and multimodal data fusion,
encouraging sustainable agriculture by enabling informed decisions customised to diverse farming
needs.
      </p>
    </sec>
    <sec id="sec-2">
      <title>2. Related work</title>
      <p>
        Understanding the landscape of crop yield prediction requires exploring various techniques and
emerging trends that shape agricultural research [
        <xref ref-type="bibr" rid="ref8">8</xref>
        ]. Deep learning, a subset of AI, trains neural
networks on large datasets to learn and predict without explicit programming [
        <xref ref-type="bibr" rid="ref9">9</xref>
        ]. These networks,
with deep layers of interconnected nodes, automatically extract complex data patterns,
transforming fields like computer vision, natural language processing, and agriculture. In farming,
they enhance tasks such as crop yield prediction, disease detection, and precision farming, offering
efficient solutions to agricultural challenges.
      </p>
      <p>
        Convolutional neural networks (CNNs) excel in spatial data analysis, crucial for tasks like
analysing UAV imagery in agriculture [
        <xref ref-type="bibr" rid="ref10">10</xref>
        ]. They extract hierarchical features from images, aiding
in crop health monitoring and yield prediction by finding complex details in vegetation and land
use. Recurrent neural networks (RNNs), on the other hand, specialise in sequential data, ideal for
analysing time-series data such as weather patterns and soil moisture [
        <xref ref-type="bibr" rid="ref11">11</xref>
        ]. RNNs capture dynamic
environmental changes over time, enhancing yield prediction accuracy by modelling long-term
trends.
      </p>
      <p>Despite their effectiveness, the success of deep learning, CNNs, and RNNs in agriculture
depends on data quality and diversity [12]. Representative training datasets are vital to developing
reliable models. Challenges like data pre-processing, feature engineering, and model
interpretability require attention to maximise model applicability.</p>
      <p>Neural architecture search (NAS) has gained considerable attention in recent years as a means
to automate the design of neural network architectures [13]. NAS algorithms employ search
strategies, such as reinforcement learning, evolutionary algorithms, or gradient-based optimisation,
to explore the vast space of possible architectures and identify configurations that optimise
performance on a given task. By automating the design process, NAS enables the discovery of
architectures that are tailored to specific applications and data characteristics, leading to improved
performance and efficiency compared to manually designed architectures.</p>
      <p>In agriculture, NAS has demonstrated its potential in fine-tuning neural network architectures
for a range of tasks, spanning from crop classification and disease detection to yield prediction
[14]. By adapting architectures to the unique characteristics of agricultural data, NAS enables the
creation of models that are better suited to capture relevant features and patterns. However, the
application of NAS in crop yield prediction using multimodal data remains relatively unexplored.
Few studies have investigated the potential of NAS to automatically design architectures that
effectively leverage diverse data sources for accurate and strong yield predictions [15].</p>
      <p>NAS techniques have found applications across a wide range of domains, including computer
vision, natural language processing, healthcare, and finance [16]. In computer vision, NAS has been
used to automatically design architectures for image classification, object detection, and image
segmentation tasks. These methods have led to the discovery of novel network architectures that
outperform handcrafted designs on benchmark datasets such as ImageNet. In natural language
processing, NAS has been applied to tasks such as machine translation, text generation, and
sentiment analysis, leading to the development of state-of-the-art language models with improved
performance [17].</p>
      <p>Despite the potential benefits, several challenges exist in the integration of NAS with
multimodal data for crop yield prediction [18]. These include the complexity of agricultural
systems, the heterogeneity of data sources, and the need for scalable and efficient search
algorithms. Addressing these challenges requires interdisciplinary collaboration between
researchers in machine learning, agriculture, and data science. Moreover, opportunities exist for
developing novel NAS algorithms tailored to the specific requirements of agricultural applications,
as well as for exploring innovative approaches to multimodal data fusion and feature
representation [19].</p>
      <p>NAS continues to evolve rapidly, with new techniques and approaches being proposed to
overcome existing limitations and expand its applicability to diverse domains [20]. In the context of
crop yield prediction, NAS offers the potential to unlock deeper insights by optimising model
architectures that effectively combine the strengths of multiple data sources, such as UAV images,
weather data, soil conditions, and historical yield data [21]. By automating this process, researchers
can systematically evaluate a wide range of architectures and fine-tune them to maximise
accuracy, efficiency, and scalability.</p>
      <p>One of the key advantages of NAS is its ability to automate hyperparameter tuning, a
traditionally labour-intensive task [22]. This includes not only the search for the most suitable
architecture but also fine-tuning elements such as the learning rate, batch size, and layer
configurations, which are critical for achieving optimal performance in yield prediction tasks.
Automating this aspect significantly reduces the manual intervention required, allowing
researchers and practitioners to focus more on interpreting results and improving model
deployment strategies.</p>
      <p>Additionally, the use of NAS can help address scalability concerns in agriculture [23].
Agricultural data is often vast and continuously expanding, especially as more farms adopt
precision agriculture techniques and deploy Internet of Things (IoT) devices to gather real-time
data [24]. NAS can assist in identifying architectures that not only provide high accuracy but also
scale effectively with larger datasets, reducing computational costs while maintaining prediction
accuracy [25]. This scalability is essential for real-world applications where processing efficiency
can be as important as predictive performance.</p>
      <p>Another challenge is the effective integration and interpretation of multimodal data [26]. While
NAS excels at automating the design of neural networks, the unique challenges presented by
multimodal data – such as the need for appropriate feature extraction, data fusion techniques, and
handling missing or imbalanced data – still require significant attention. Future research should
explore how NAS can be further tailored to address these challenges, particularly in agricultural
contexts where data is often noisy or incomplete [27].</p>
      <p>The integration of cloud-based platforms and NAS could further enhance scalability and
accessibility [28]. Cloud-based platforms offer the computational power necessary to perform
large-scale NAS operations, enabling smallholder farmers or agricultural organisations with limited
resources to access sophisticated yield prediction models [29]. By using cloud-based NAS
frameworks, model deployment can also become more seamless, allowing updates and
improvements to be applied dynamically as new data becomes available [30].</p>
      <p>NAS represents a frontier in agricultural technology, offering the potential to revolutionise the
way crop yield predictions are made [31]. Its ability to automatically design architectures that are
tailored to complex, multimodal datasets holds significant promise for improving accuracy,
scalability, and efficiency in predictive modelling. Nonetheless, addressing the computational, data
integration, and interpretability challenges associated with NAS will be crucial to unlocking its full
potential in this domain. Through continued innovation and interdisciplinary collaboration, NAS
could become a pivotal tool in driving sustainable agricultural practices and enhancing global food
security.</p>
    </sec>
    <sec id="sec-3">
      <title>3. Methodology</title>
      <p>NAS automates the design of neural network architectures for crop yield prediction using
multimodal data. The search space includes configurations like CNNs for image data, RNNs for
time-series data, and hybrid models. Architectural parameters vary, including the number of layers,
layer types, filter sizes, learning rate, batch size, and dropout rate. Performance is evaluated using
root mean squared error (RMSE), mean absolute error (MAE), and R-squared (R²), along with
computational efficiency and model generalisability. The NAS process involves defining the search
space, initialising the search strategy, generating candidate architectures, training and evaluating
them, and iterating until a preferred model is identified as shown in Figure 3.1.</p>
      <p>The chosen methodology addresses the complexity and variability of factors affecting crop
yield, including weather conditions, soil characteristics, and plant health. Integrating multimodal
data, such as weather, soil measurements, and UAV imagery, captures the full scope of variables
influencing agricultural productivity, leading to more accurate and reliable prediction.</p>
      <sec id="sec-3-1">
        <title>3.1. Data Acquisition Process</title>
        <p>Data acquisition involves identifying relevant sources like weather stations, soil sensors, and
UAV imagery. For this study, pre-existing data from a recent study [32] was acquired. This
includes six years of image and weather data gathered in several regions of Japan, which we use in
developing model architectures using NAS. Sample images captured by UAVs as shown in Figure
3.2 and multispectral cameras provide critical information about crop health.</p>
        <p>The weather data used in this project includes several key features that help analyse crop yields.
Features recorded here are Date, Year, Yield, Normal and Observed. The Date and Year features
record when observations were made, allowing for the study of seasonal trends and yearly
variations. Location specifies the geographical area, which is vital as different regions have unique
climatic and soil conditions affecting yield. The Yield feature contains the actual crop yield, the
primary target for the model to predict. Normal refers to the expected average yield based on
historical data, offering a baseline for comparison. Observed represents the real, recorded yield for
that specific time and place, allowing direct comparison with both the predicted and expected
outcomes. Together, these features provide a detailed view for predicting and analysing
agricultural productivity.</p>
      </sec>
      <sec id="sec-3-2">
        <title>3.2. Data Processing and Integration</title>
        <p>Following the acquisition of multimodal datasets, including UAV imagery and weather data, a
preprocessing step was applied to ensure consistency, reliability, and compatibility across the
different data types. For image data, UAV-captured images were directly used, preserving the
original resolution. For weather data, temporal features such as date and year were incorporated to
capture seasonal patterns, while spatial features like Location were included to account for regional
differences. Yield-related attributes, including normal yield (expected average yield based on
historical data) and observed yield (actual recorded yield), were standardised and used as primary
inputs for the predictive model.</p>
        <p>Once preprocessed, the datasets were aligned and integrated into a unified format, ensuring
temporal and spatial synchronisation between weather data and UAV imagery. This combined
dataset was then partitioned into training, validation, and test subsets, following an 80:20 split. The
training set, comprising 80% of the data, was used to train neural network models by iteratively
optimising parameters. The validation set was reserved for hyperparameter fine-tuning and
monitoring overfitting, while the independent test set served as a reliable benchmark for
evaluating the model's real-world predictive accuracy.</p>
        <p>Python scripts were employed throughout the data processing and integration pipeline.
Libraries such as Pandas were used for data cleaning and manipulation, while TensorFlow and
Keras supported the development and fine-tuning of the predictive models. This precise data
preparation approach established a solid foundation for building and testing high-performing
models for crop yield estimation.</p>
      </sec>
      <sec id="sec-3-3">
        <title>3.3. Research Architecture</title>
        <p>A high-level overview of the method is illustrated in Figure 3.3. This integrates both image and
weather data into a unified model. By combining visual and environmental inputs, this approach
enhances the accuracy of yield forecasts and provides more comprehensive insights.</p>
        <p>Neural architecture search refines the prediction process by exploring different configurations
of convolutional neural networks (CNNs) for image analysis and optimising the integration of
multimodal data, such as combining image and weather information. By automating the search for
the best-performing architectures, NAS tailors the CNN to effectively capture both spatial and
environmental factors, improving yield prediction.</p>
        <p>Data mapping aligns temporal and spatial dimensions of weather data with UAV imagery,
ensuring accurate reflection of conditions and time frames. This alignment is crucial for the model
to learn relationships between data types. By processing image and weather data pairs, the
integrated model leverages complementary strengths of both data types, improving predictive
performance.</p>
      </sec>
    </sec>
    <sec id="sec-4">
      <title>4. Experiments and Results</title>
      <sec id="sec-4-1">
        <title>4.1. Initial Model Training</title>
        <p>The initial model training utilised a multimodal dataset comprising images and weather data.
This dataset was split into training, validation, and test sets following an 80:20 ratio. Specifically,
80% of the data was dedicated to training, where the model’s parameters were optimised, and its
architecture refined. The remaining 20% was divided between validation and test sets. The
validation set played a critical role in monitoring performance and fine-tuning hyperparameters to
avoid overfitting, ensuring the model could generalise effectively to unseen data.</p>
        <p>After training, the model was validated and tested on test datasets. The validation process
allowed for iterative adjustments to hyperparameters by comparing the model's predictions with
actual outcomes, ensuring strong performance
without overfitting. Finally, the
model was
evaluated on test set to measure its ability to generalise beyond the data seen during training and
validation. The test results provided key performance metrics, offering insights into the model's
predictive accuracy and practical applicability in real-world crop yield prediction tasks.</p>
      </sec>
      <sec id="sec-4-2">
        <title>4.2. Loss Function and Evaluation Metrics</title>
        <p>Loss is a measure of how well the model's predictions match the actual data. In our case, it
reflects how closely the predicted crop yields align with the true yields. The loss used in this study
is mean-squared error (MSE), which calculates the average squared difference between the
predicted and actual values. MSE was chosen for its sensitivity to larger errors, making it a suitable
loss function for regression tasks like crop yield prediction.</p>
        <p>The performance of the model was evaluated using three key metrics: root mean squared error
(RMSE), mean absolute error (MAE), and R-squared (R²).</p>
        <p>RMSE measures the average magnitude of the errors in a set of predictions. Lower values
indicate better predictive accuracy. It is calculated as follows:
1
2
1
n
Σ
∑
where y is the true value and y is the value predicted by the model.</p>
        <p>MAE calculates the average of the absolute differences between predicted and actual values. It
provides a measure of the model’s accuracy in terms of absolute error. It is calculated as
MAE =</p>
        <p>|y − y |

= 1 −
( −  )
( −  )</p>
        <p>Finally, the R² metric indicates how well the model explains the variation in the dataset. A
higher R² value indicates a better fit of the model to the data. It is calculated as follows:</p>
      </sec>
      <sec id="sec-4-3">
        <title>4.3. Architecture Development and Results</title>
        <p>During the development of the architecture, the integrated multimodal data was processed to
generate predictions. Initially, we began with a smaller number of epochs to quickly evaluate the
model's baseline performance. Following this, the number of epochs was progressively increased
from 10 to 140 to allow the model more time to potentially learn complex patterns within the data
and improve its predictive accuracy. This gradual increase in epochs was crucial for fine-tuning the
model, ensuring it had sufficient training time to enhance performance without overfitting or
under fitting. Throughout this process, we closely monitored key performance metrics to assess
improvements and optimise the model effectively.</p>
        <p>The training loss graph in Figure 4.1 plots the loss value against the 10 epochs during the model
training process.</p>
        <p>The training MAE graph in Figure 4.1 above shows the average absolute difference between the
predicted and actual values over the epochs. Similar to the training loss, the MAE starts high
initially due to the model’s lack of familiarity with the data patterns. As the model learns, the MAE
decreases, signifying that the predictions are getting closer to the actual values. Eventually, the
MAE stabilises, showing that the model’s average prediction error is consistent and has reached its
minimum possible value given the data and model complexity.</p>
        <p>Both graphs in Figure 4.1 above show a decreasing trend, indicating successful learning as the
model improves its predictions by adjusting parameters. Continuous decreases in loss and MAE
without levelling off could signal overfitting, where the model memorises training data instead of
generalising. However, similar decreasing trends and stabilisation in validation loss and MAE
suggest overfitting is less likely.</p>
        <p>The training loss graph on the left side of Figure 4.2 shows the loss value against the number of
epochs, extending over 140 epochs. This extension of the number of epochs reveals that training
the model beyond 140 epochs does not yield any further reduction in loss or MAE. The loss then
stabilises near zero, indicating effective learning without significant improvement from further
training. The consistent low loss suggests the model avoids overfitting.</p>
        <p>The graph in Figure 4.3 illustrates the training and validation loss on the left and the training
and validation mean absolute error (MAE) on the right, providing insights into the model's
performance over 120 generations of NAS. In this process, instead of training a single CNN
architecture, the neural architecture search (NAS) generates and evaluates multiple CNNs across
generations. Each generation involves training a set of candidate architectures for a specified
number of epochs, after which the best-performing architectures are selected for the next
generation. This evolutionary approach refines the architectures, leading to improved models over
time.</p>
        <p>In the left plot, the loss values for both training (blue line) and validation (orange line) are
shown. This decline in loss suggests that the NAS process is effectively generating better
architectures over successive generations. Importantly, the close alignment between the training
and validation losses indicates that the model generalises well to new data, with no significant
overfitting. This generational improvement reflects the ability of NAS to explore and optimise
different architecture configurations for enhanced prediction accuracy.</p>
        <p>Both the training MAE (red line) and validation MAE (green line) show a steep decline in the
early stages, similar to the loss curves, before levelling off as training progresses. The consistent
decrease in MAE suggests that the successive models are becoming increasingly accurate in their
predictions. Notably, the validation MAE remains consistently lower than the training MAE,
highlighting the model's strong performance on unseen data.</p>
        <p>The NAS-optimised model significantly outperforms the best CNN architecture in [32] in
predicting crop yields. It achieves a lower RMSE (0.70 vs. 0.821 t/ha), better accuracy with a higher
R2 (0.90 vs. 0.83–0.86), and faster convergence, requiring fewer epochs. The best traditional model
in [32] had a validation RMSE of 0.831, while the NAS model had a lower validation RMSE of 0.75,
showing improved generalisation. NAS automatically optimised the architecture for multimodal
data (images and weather), resulting in superior performance and efficiency.</p>
        <p>The best architecture, as shown in Figure 4.4, combined convolutional layers for image data
processing and dense layers for tabular input. The convolutional layers efficiently extracted spatial
features, while the dense layers captured interactions between tabular data features. Outputs from
both pipelines were merged using a concatenate layer to enable joint learning from multimodal
data, improving model performance. Key optimisation techniques, such as dropout layers and
pooling, played a role in earlier experiments by mitigating overfitting and reducing computational
overhead. The model performed best with a learning rate of 0.001, batch sizes of 32 to 64, and
convolutional filters ranging from 32 to 128, balancing feature extraction and avoiding overfitting.
The network’s moderate depth provided sufficient learning capacity without excess complexity.
The iterative NAS process was crucial for refining the architecture, leading to an optimal final
model. These design choices resulted in a well-balanced architecture that delivered excellent
performance on the task.</p>
        <p>Overall, these results indicate that neural architecture search (NAS) generated successful
architectures for multimodal crop yield prediction. The loss and mean absolute error (MAE)
metrics demonstrate significant improvement early on and stabilise at low values, confirming that
the model has effectively learned and can generalise well. This suggests that the model is capable
of capturing complex patterns in the multimodal data, contributing to accurate predictions of crop
yield.</p>
        <p>These results are based on data from specific regions in Japan, which may limit the model's
generalisability. Differences in crop varieties, soil types, weather patterns, and farming practices in
other regions could impact its performance. For example, a model trained on temperate climate
data may not perform well in tropical regions due to varying crop growth cycles and
environmental factors. To improve the model's adaptability, future work should test it in diverse
geographic regions and crop types. Expanding the dataset with additional data sources, such as soil
sensor data or remote sensing from different sensors, could further enhance its predictive
capabilities and confirm its versatility in precision agriculture.</p>
      </sec>
    </sec>
    <sec id="sec-5">
      <title>5. Conclusions and Future Work</title>
      <p>This study explored the application of neural architecture search (NAS) combined with
multimodal data for crop yield prediction. The dataset was partitioned into training, validation, and
test sets, and a supervised neural network model was optimised and evaluated. To demonstrate the
effectiveness of NAS, a direct comparison was made between the original, manually designed
convolutional neural network (CNN) model and the NAS-generated CNN model.</p>
      <p>The NAS-optimised model outperformed the traditional CNN in key performance metrics,
particularly in reducing training loss and mean absolute error (MAE). The NAS approach explored
various architectures, identifying those that were more suitable for the complexity of the
multimodal data, which included both images and weather data. In contrast, the manually designed
CNN, while effective, did not achieve the same level of optimisation in learning from the integrated
data. This difference was evident in the lower MAE achieved by the NAS-optimised model,
indicating more accurate predictions of crop yield.</p>
      <p>The NAS-generated model demonstrated faster convergence, with a steeper reduction in
training loss, indicating improved training efficiency and accuracy. This was confirmed by its
strong performance on the validation and test sets, showing good generalisation and minimal
overfitting due to careful hyperparameter tuning. NAS enabled the automated discovery of
network architectures better suited for the multimodal dataset. While the original CNN performed
well, the NAS-optimised model yielded significantly better results, highlighting the benefits of NAS
for complex datasets.</p>
      <p>Future research can refine NAS techniques for optimising CNN architectures and better
capturing weather trends by incorporating advanced temporal models like recurrent neural
networks (RNNs) or temporal convolutional networks (TCNs). Additional data types, such as soil
composition and historical yields, needed to be integrated to enhance accuracy. Another focus
should be deploying these models in real-time agricultural systems for dynamic decision-making
and crop yield predictions, with agronomist collaboration for field validation.</p>
      <sec id="sec-5-1">
        <title>Acknowledgments</title>
        <p>We extend sincere thanks to the authors of [32] for sharing the dataset used in this study.</p>
      </sec>
      <sec id="sec-5-2">
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