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							<persName><forename type="first">Konstantinos</forename><surname>Michalakis</surname></persName>
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								<orgName type="department">Cultural Technology Department</orgName>
								<orgName type="institution">University of the Aegean</orgName>
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									<settlement>Mytilene</settlement>
									<country key="GR">Greece</country>
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							<persName><forename type="first">Georgios</forename><surname>Alexandridis</surname></persName>
							<email>gealexandri@aegean.gr</email>
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									<settlement>Zografou</settlement>
									<country key="GR">Greece</country>
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							<persName><forename type="first">George</forename><surname>Caridakis</surname></persName>
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							<persName><forename type="first">Phivos</forename><surname>Mylonas</surname></persName>
							<email>fmylonas@ionio.gr</email>
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								<orgName type="institution">Ionian University</orgName>
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									<settlement>Corfu</settlement>
									<country key="GR">Greece</country>
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						<title level="a" type="main">Context Incorporation in Cultural Path Recommendation Using Topic Modelling</title>
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					<term>Personalized cultural user experience</term>
					<term>Cultural path recommendation</term>
					<term>Context-aware recommendation</term>
					<term>Topic modelling</term>
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<div xmlns="http://www.tei-c.org/ns/1.0"><p>Even though path recommendation is a subject that has been vigorously studied, the majority of related work has been predominantly focused on travel and routing topics, with relatively minimal incorporation of cultural context. The latter issue is addressed in the current contribution through the proposition of a personalized, context-aware cultural path recommendation system, aiming at achieving an enhanced cultural experience for its users. More specifically, topic modelling is used to represent the landmarks, where each location is modeled as a distribution of latent topics that eventually describe its characteristics. The initial approach is subsequently extended through the fusion of contextual aspects that include visitor profile, their behavior during the visit and other environmental parameters that might a↵ect the cultural experience. In this work, a subset of contextual aspects, consisting of the type of visited location and the time the visit occurred, is considered. The overall system is evaluated on a benchmark dataset in order to assess the e↵ect of the contextual dimension in the produced recommendations.</p></div>
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<div xmlns="http://www.tei-c.org/ns/1.0"><head n="1">Introduction</head><p>Cultural user experience is a subject that has recently gained enough popularity, despite requiring complex procedures of formalization and evaluation <ref type="bibr" target="#b14">[15]</ref>. Apart from the standard complexity incurred by the delivery of a personalized experience, the content of cultural spaces is often enriched with characteristics associated with its origin and whose correlation to the experience itself is very tight. The extraction of those underlying aspects has not been adequately explored and while some route recommendation systems have been adapted for cultural visits, the cultural aspects are usually not integrated into the process.</p><p>Context integration, on the other hand, results in an enhanced perception of the current situation by the system, with data not directly related to the objects of interest. Typical contextual parameters include location, time, type of recommended object and environmental conditions, allowing for a more insightful interpretation of the surrounding environment. Most context-aware recommender systems apply context-driven querying and search approaches that require the matching of contextual data with resource metadata. On the contrary, contextual filtering and modeling are sparsely used <ref type="bibr" target="#b25">[26]</ref>.</p><p>This work addresses the aforementioned issues by introducing a personalized, context-aware and topic sensitive cultural path recommendation system. The proposed architecture combines content modeling and context-awareness into a unified approach that analyzes user behavior and enhances the recommendation process with the contextual parameters of time and location. At the core of the presented methodology lies topic modeling; a theoretical abstraction that conceptualizes the aspects of user visits to Points of Interest (POIs). Contextawareness is introduced into the model by formulating the relationship between POIs and time as one contextual parameter and the correlation between user and POI category as another.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="2">Related Work</head><p>Recommender Systems (RSs) process user preference data in order to propose items ranging from products to paths or actions. RSs have been applied to a variety of domains and incorporate additional information sources, when available (e.g. from social networks <ref type="bibr" target="#b3">[4]</ref>). In this sense, a popular extension is the inclusion of contextual data, usually in the form of spatial, environmental and behavioral parameters. This process adds context-awareness to RSs, resulting in a further optimized and personalized user experience, based on the current situation. Context-awareness may be combined in route RSs in location-aware environments, where a path of actions or sites to be visited is proposed. Research on such spatiotemporal modeling and prediction has been performed for both travelers <ref type="bibr" target="#b4">[5,</ref><ref type="bibr" target="#b26">27]</ref> and drivers <ref type="bibr" target="#b15">[16]</ref>.</p><p>Route RSs usually rely on mining techniques in order to discover usable information, such as user behavior and trajectory patterns <ref type="bibr" target="#b10">[11]</ref>, fastest path and route optimization based on user-specified destinations <ref type="bibr" target="#b19">[20]</ref> and personalized route recommendation extracted from big trajectory data <ref type="bibr" target="#b8">[9]</ref>. The recommendation process often requires the dynamic modelling of users (e.g. normal schedule, activity recognition); such functionality is incorporated in <ref type="bibr" target="#b21">[22]</ref>, where interactive multi-criteria techniques are adopted on personalized tours that combine user profile, preference and area characteristics. Multimodal information fusion may also be used in RS in order to enrich the acquired knowledge; e.g. a route recommendation utilizing geotagged images in an e↵ort to probabilistically model user behavior is adopted in <ref type="bibr" target="#b16">[17]</ref>. Research on the integration of social and crowdsourcing techniques for the improvement of recommendation performance has been conducted in <ref type="bibr" target="#b9">[10,</ref><ref type="bibr" target="#b23">24]</ref>.</p><p>Context-awareness may be introduced to RSs either in a pre-filtering or a post-filtering fashion, depending on whether contextual processing occurs before or after the application of the recommendation algorithm. The two approaches are compared in <ref type="bibr" target="#b2">[3]</ref>, where it is concluded that no method outperforms the other and that their suitability is highly dependent on the application domain.</p><p>A further classification of contextual information in RSs is proposed in <ref type="bibr" target="#b20">[21]</ref>, where the lack of studies in the non-representational views of context is also illustrated. Recent advances on computational intelligence have also fueled more e cient and more complex RSs that apply context-awareness with the use of neural networks, fuzzy sets and other similar machine learning techniques <ref type="bibr" target="#b0">[1]</ref>.</p><p>In general, context-aware RSs in the cultural heritage domain have found little applications so far and context is usually limited to spatial characteristics. In <ref type="bibr" target="#b5">[6]</ref>, a framework that manages heterogeneous multimedia data gathered from various web sources is suggested, which results in a context-aware recommendation process. SmartMusem <ref type="bibr" target="#b22">[23]</ref> is a mobile RS that uses ontology-based reasoning, query expansion and context knowledge, achieving optimized performance. Finally, an ontology based pre-filtering and contextual processing post-filtering hybrid technique is used to provide optimized tour recommendations in <ref type="bibr" target="#b6">[7]</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3">User Modeling</head><p>A user model is a theoretical concept that tries to formulate a person's interests (motion patterns in-between POIs or landmarks in this case). Various approaches to user modeling exist, with some of them having already been presented in Section 2. In sites of cultural interest (museums, archaeological sites, cities, etc), the userbase and the available options are usually constrained and as a result the collected data tend to be of relatively small volume, especially when compared with the massive userbase and itemsets of other domains (movie or music recommendation). In the former cases, statistical models seem to be a good starting point for user modeling and this approach has been followed in this work. More specifically, topic modelling, a statistical approach to user modelling is presented in Section 3.1, while the aforementioned technique is extended through the fusion of contextual information in Section 3.2.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.1">Topic Modeling</head><p>A topic model is a hierarchical probabilistic model that quantifies the relationship between users (visitors) and items (landmarks they have visited) through the notion of topics <ref type="bibr" target="#b7">[8]</ref>. In this setting, visitor interest is expressed as mixture of topics, while each topic is modelled as a probability distribution over the landmarks. Of course, topics are not known in advance; in fact their estimation is the objective of the algorithm and for this reason they are considered to be the latent features of the model. In general, topic models have been used in the area of information retrieval <ref type="bibr" target="#b12">[13]</ref> and in preference modelling and personalization <ref type="bibr" target="#b13">[14,</ref><ref type="bibr" target="#b1">2]</ref>. The most notable topic modelling techniques are Latent Dirichlet Allocation (LDA) <ref type="bibr" target="#b7">[8]</ref>, Latent Semantic Analysis (LSA) and Probabilistic LSA (PLSA) <ref type="bibr" target="#b11">[12]</ref>, which is also the technique of choice in this contribution.</p><p>More formally, let L be the set of points of interest (POIs) of a cultural location, which can be of any type; constrained withing a building (e.g. museum), an open space (e.g. cultural site) or even a broader place (e.g. the historical center of a city). In either of these cases, POIs could be exhibits, landmarks or distinct places.</p><p>The set of visitors (users) is denoted as U and every visitor u 2 U is primarily characterized by a record h u ⌘ (l 0 , l 1 , . . . , l t 1 ), which is the sequence of POIs visited by u up until time t 1. Therefore, the objective of the model and the RS in general, is to predict the POIs the user is going to visit next.</p><p>Topic models address this issue by making the basic assumption that visits to future POIs are conditionally independent from the current record (history) h u of u. Consequently, the probability P (l t |h u ) of u visiting POI l t at time t, given h u , is approximated according to Equation 1</p><formula xml:id="formula_0">P (l t |h u ) = X z2Z P (l t |z)P (z|h u )<label>(1)</label></formula><p>where P (z|h u ) expresses the extend to which the "hidden" topic z is of interest to u while P (l t |z) quantifies how much POI l t is described by topic z. In more simple words, P (z|h u ) models visitor interest in this topic and P (l t |z) represents the coverage ("trend") of topic z.</p><p>As both probabilities of the right-hand side of Equation 1 cannot be determined analytically, they are approximated through Expectation-Maximization (EM). EM is an iterative procedure particularly useful in determining the maximum likelihood in statistical models dependent upon "latent" parameters, like this one. A typical EM iteration consists of two steps, the Expectation Step, where the posterior probability of each latent topic z is computed, given the parameters l t , h u of the model (Equation <ref type="formula">2</ref>)</p><formula xml:id="formula_1">P (z|l, h u ) = P (z|h u )P (l|z) P z 0 2Z P (z 0 |h u )P (l|z 0 ) (2)</formula><p>and a Maximization Step, where model parameters are updated (Equations 3-4) in order to maximize the likelihood (Equation <ref type="formula">2</ref>)</p><formula xml:id="formula_2">P (z|h u ) / X l2L N (l, h u )P (z|l, h u )<label>(3)</label></formula><formula xml:id="formula_3">P (l|z) / X u2U N (l, h u )P (z|l, h u ) (<label>4</label></formula><formula xml:id="formula_4">)</formula><p>where N (l, hu) designates the number of times POI l occurs in the history (record) of u. P (z|hu) and P (l|z) are initialized to some random values. Finally, the steps described in Equations 2-4 are repeated until convergence (that is, when P (z|hu) and P (l|z) reach an equilibrium).</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="3.2">Context Modelling</head><p>The most straightforward way of fusing spatial attributes in RS is to model them as an extra multiplicative term in Equation 1, yielding Equation 5 below</p><formula xml:id="formula_5">P s (l t |h u ) = P (l t |h u ) N (x|u) C(h u ) (5)</formula><p>In a similar fashion, Equation 5 may be further extended by yet another multiplicative term that models temporal attributes, as in Equation <ref type="formula" target="#formula_6">6</ref>below</p><formula xml:id="formula_6">P s,t (l t |h u ) = P s (l t |h u ) P (f |l) C(l)<label>(6)</label></formula><p>where P s (l t |h u ) w is the adjusted posterior probability of context-aware model of Equation <ref type="formula">5</ref>, P s,t (l t |h u ) is the posterior probability of the new context-aware model combining spatial and temporal features, P (f |l) is the probability of location l to be visited at time f by all users and C(l) is a normalization factor with a similar role to C(h u ). Context modelling is the inclusion of contextual information in the recommendation process. Context, in a RS framework, is predominantly linked to the location of the users (e.g. home, workplace, public place) and the time the recommendations are either requested or produced, ranging from hours (morning, evening), to days (workdays, weekends) and beyond (holiday periods) <ref type="bibr" target="#b2">[3]</ref>. This representation of location and time implies that both quantities are described by a set of characteristic attributes; therefore let X be the set of spatial attributes and Y the set of temporal attributes, respectively.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4">Experiments &amp; Results</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.1">Dataset</head><p>where P (lt|hu) is the posterior probability of the contextless model, Psp(lt|hu) is the adjusted posterior probability of the context-aware model, N (x|u) is the frequency of spatial attribute x ∈ X associated with location l being visited by user u at time t and finally C(hu) is a normalization factor that ensures Equation <ref type="formula">5</ref>remains a probability distribution.</p><p>The aforementioned models, contextless and context-aware, have been evaluated on the Flickr User-POI Visits Dataset <ref type="bibr" target="#b24">[25]</ref>, which is comprised of user visits to various Points of Interest (POIs) in eight cities. Table <ref type="table" target="#tab_0">1</ref> summarizes the dataset characteristics Entries in the dataset correspond to geotagged photos uploaded by users on Flickr4, an image and video hosting service. Apart from the photo and user ids, each entry contains other useful metadata, such as the photo timestamp, the id and theme (category) of the photographed POI, the frequency this specific location has been photographed (visited) by other users in the dataset and finally a sequence id. Sequence ids group photographs uploaded by the same user together, based on their timestamp; more specifically, photographs taken by a single user within a time frame of 8 hours are considered to belong to the same sequence. In addition to the metadata presented above, each POI is also characterized by its name, its coordinates (latitude and longitude) and a matrix containing the distances in-between POIs of the same city.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.2">Data Preprocessing</head><p>Path types and length According to the description of the dataset above, visitor paths may be determined in two ways; on a user basis or on a sequence basis. The latter option seems to be more natural, as sequences incorporate the temporal dimension of each visit, in the sense that geotagged photos of a certain user may span several days. However, sequence-based paths in the dataset are extremely short. This is evident both in Table <ref type="table" target="#tab_0">1</ref>, where the average sequencebased path length is just above 7 and in Figure <ref type="figure">1</ref>, which depicts the number of paths of a given path-length; the overwhelming majority of sequence-based paths has a length between 1 and 3. The same observation holds true for user-based path lengths as well (Figure <ref type="figure">2</ref>). In this case, however, there exists a certain fraction of users whose path lengths are well above the short-path margins of the previous case. Therefore, in our analysis we considered user-based paths.</p><p>It could be argued that in considering user-based paths, the temporal context of the recommendations is overlooked. While there is a certain validity in this argument, it should also be stressed out that such an assumption does not hurt This specific dataset has been previously used in <ref type="bibr" target="#b17">[18]</ref>, where a tour recommendation framework is implemented and the PersTour algorithm is introduced (exhibiting better performance than the baseline algorithms of Greedy Nearest and Greedy Most Popular ). The described system recommends a complete route to the visitor based on his/her previous sequences, while also exploiting the cost/benefit of each proposed route. Expanding on this idea, the authors in <ref type="bibr" target="#b18">[19]</ref> group visitors of similar POIs, recommending tour itineraries for groups rather than isolated users. To the best of our knowledge, our approach is among the first to explore the contextual dimensions of this dataset. the performance of the RS, as it is still able to predict new places that the users might have not visited in their previous visits.</p><p>Having fixed the way paths are determined (user-based instead of visitorbased paths), a decision should be made on the minimum path length. It is obvious that paths of short length are of no practical use to a RS and therefore need to be filtered out. This is achieved by defining a threshold on the minimum path length. Based on the reasoning above and after some experimentation, the optimal value of the minimum path length has been set to 5.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Context Incorporation in Cultural Path Recommendation using TM</head></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Number of latent features</head><p>The number of latent features (parameter z) of the models described in Equations 1, 5-6 (Section 3) a ects the performance of the respective RSs. Figure <ref type="figure" target="#fig_2">3</ref> depicts the performance of the topic model-based approach (Equation <ref type="formula" target="#formula_0">1</ref>) on the visitors of the city of Budapest, Hungary.  It can be seen that the performance gradually rises, along with the dimensionality of the latent feature space, until it reaches a climax. Increasing z beyond that point is of no benefit to the model, as it cannot generalize. Therefore, determining the optimum value for z is a hyperparameter of the overall approach, dependent on the specific technique used and the data. By definition, the latent feature space is smaller than the quantities it models (users and number of POIs in this case). As the number of POIs per city ranges between 26 (in Perth, Australia) and 40 (in Budapest, Hungary), the optimum value for z has been sought in the range of <ref type="bibr" target="#b1">[2,</ref><ref type="bibr" target="#b19">20]</ref> and it was found to be between 8 and 12 for all cities in the dataset.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="4.3">Experiments</head><p>The experimentation protocol followed has been the leave-one-out crossvalidation. At each iteration of the protocol one user is picked as the test user and the path s/he follows is split into two parts; the training part and the test part. This step is necessary for the models in order to approximate the distribution of the test user's interest in the latent topics (Equation <ref type="formula" target="#formula_2">3</ref>). After experimenting with various train and test set sizes, we ended up using the first 25% of the path as the training set and the rest 75% as the test set. Consequently, when Having fixed the parameters and the hyperparameters of the proposed approach, the specifics of the experimental procedure need to be addressed. Since there is no connection (geographical or otherwise semantic) in-between the 8 cities of the dataset, 8 distinct sub-experiments were performed, pertaining to the data of each city. For each sub-experiment, four different approaches were considered; the contextless topic model of Equation <ref type="formula" target="#formula_0">1</ref>, the inclusion of either the spatial or the temporal contextual information (Equation <ref type="formula">5</ref>) and finally the incorporation of both contextual dimensions (Equation <ref type="formula" target="#formula_6">6</ref>).</p><p>training was over, the RS proposed POIs to the test user and those recommendations were compared with the POIs in the test set in order to estimate system performance.</p><p>The second parameter is a temporal one, namely the time the visit took place. The time is deduced from the timestamps of the photographs and it can be exploited to add contextual information about the periods within the day that each specific POI is accessed (for example, park visits usually occur during the day time). In the proposed approach, the time period corresponding to a day is split into time windows and then the frequency of the visits within each time window is measured for each POI. Then the posterior probability of u visiting landmark l t next is adjusted according to the current time window and the aforementioned frequency. After experimenting with various time window sizes, the optimal value has been determined to be 8 hours. Finally, the two contextual parameters discussed above are integrated in the unified procedure of Equation <ref type="formula" target="#formula_6">6</ref>.</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head n="5">Conclusions</head><p>In this work, a methodology of integrating contextual elements in cultural path recommendation has been outlined and experimentally evaluated on a dataset Context Incorporation in Cultural Path Recommendation using TM</p></div>
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Context integration</head><p>The dataset included two contextual parameters that could be exploited by the context-aware methodologies proposed in this work. The first one is a spatial parameter, the category or "theme" of the visited POI. It is a categorical variable that can take 18 distinct values, which are related to the cultural aspect of the visited POI (e.g. "Museum", "Historical", "Cultural"). Themes are indicative of the type of POIs each visitor prefers and therefore their modelling can be used to provide more personalized cultural recommendations. In this approach, and according to Equation <ref type="formula">5</ref>, the frequency of the visited theme is initially calculated, adjusting the posterior probability Ps(lt|hu) of u visiting landmark lt next. After this adjustment, the model recommends the next POI to be visited, hopefully having gained some insight on the user's cultural preferences and achieving better performance.</p><p>Results Figure <ref type="figure" target="#fig_3">4</ref> summarizes the results of the experimental procedure for all 4 models and for the 8 cities. An initial observation is that the addition of the contextual information increases the accuracy of the recommendations in all cases by a margin of at least 5%. This is especially evident in the case of Perth, Australia, Glasgow, Scotland and Osaka, Japan and it is a clear indication that the incorporation of context is a process that enhances the overall quality of the recommendations. Additionally, a qualitative analysis on the cities where the RSs exhibited better results reveals that the visitors in these cases were associated with longer paths, which permitted the context-aware process to more thoroughly affect the functionality of the model. </p></div><figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_0"><head>4</head><label></label><figDesc>https://flickr.com/ Context Incorporation in Cultural Path Recommendation using TM</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_1"><head>Fig. 1 .Fig. 2 .</head><label>12</label><figDesc>Fig. 1. Distribution of sequence-based paths in the dataset</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_2"><head>Fig. 3 .</head><label>3</label><figDesc>Fig.3. The influence of the number of latent features on the performance of the topic modelling approach on the Budapest, Hungary subset of the dataset</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" xml:id="fig_3"><head>Fig. 4 .</head><label>4</label><figDesc>Fig. 4. Performance results of all models on all cities</figDesc></figure>
<figure xmlns="http://www.tei-c.org/ns/1.0" type="table" xml:id="tab_0"><head>Table 1 .</head><label>1</label><figDesc>General dataset characteristics</figDesc><table><row><cell>Characteristic</cell><cell>Value</cell></row><row><cell>Number of cities</cell><cell>8</cell></row><row><cell>Number of visits</cell><cell>153,208</cell></row><row><cell>Number of paths</cell><cell>21,186</cell></row><row><cell>Number of users</cell><cell>5,595</cell></row><row><cell>Average user-based path length</cell><cell>27.38</cell></row><row><cell>Average sequence-based path length</cell><cell>7.23</cell></row><row><cell>POI Categories (themes)</cell><cell>18</cell></row></table></figure>
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			<div type="annex">
<div xmlns="http://www.tei-c.org/ns/1.0"><head>Contextless</head><p>of geotagged photos taken by visitors in eight cities. More specifically, the POIs visited by the users were modeled according to topic modeling, enabling the enhancement of the recommendation process with cultural location awareness. Furthermore, implicitly inferred context has been extracted from the dataset (POI theme and the time window within the day that each POI is visited). The measured performance demonstrated an increase of accuracy, when the contextual parameters were integrated.</p><p>The experimental results indicate that the inclusion of context-awareness into the recommendation process enhances the ability of the system to optimize its predictions. The achieved increase in accuracy is a promising result, pointing out that measuring and incorporating contextual data can greatly impact the overall system accuracy. Adding further and more explicit contextual data, such as user profile information (age, educational level, etc.) or environmental parameters (weather conditions, crowd density, etc.) is expected to result in even better recommendations.</p></div>			</div>
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