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www.elsolucionario.net Contents 1.1 What motivated data mining? Why is it important? 1.2 So, what is data mining? 1.3 Data mining | on what kind of data? 1.3.1 Relational databases 1.3.2 Data warehouses 1.3.3 Transactional databases 1.3.4 Advanced database systems and advanced database applications 1.4 Data mining functionalities | what kinds of patterns can be mined? 1.4.1 Concept/class description: characterization and discrimination 1.4.2 Association analysis 1.4.3 Classi cation and prediction 1.4.4 Clustering analysis 1.4.5 Evolution and deviation analysis 1.5 Are all of the patterns interesting? 1.6 A classi cation of data mining systems 1.7 Major issues in data mining 1.8 Summary 3 11 12 13 13 13 14 15 16 16 17 18 19 21 www.elsolucionario.net Introduction www.elsolucionario.net Contents 2.1 What is a data warehouse? 2.2 A multidimensional data model 2.2.1 From tables to data cubes 2.2.2 Stars, snow akes, and fact constellations: schemas for multidimensional databases 2.2.3 Examples for de ning star, snow ake, and fact constellation schemas 2.2.4 Measures: their categorization and computation 2.2.5 Introducing concept hierarchies 2.2.6 OLAP operations in the multidimensional data model 2.2.7 A starnet query model for querying multidimensional databases 2.3 Data warehouse architecture 2.3.1 Steps for the design and construction of data warehouses 2.3.2 A three-tier data warehouse architecture 2.3.3 OLAP server architectures: ROLAP vs MOLAP vs HOLAP 2.3.4 SQL extensions to support OLAP operations 2.4 Data warehouse implementation 2.4.1 E cient computation of data cubes 2.4.2 Indexing OLAP data 2.4.3 E cient processing of OLAP queries 2.4.4 Metadata repository 2.4.5 Data warehouse back-end tools and utilities 2.5 Further development of data cube technology 2.5.1 Discovery-driven exploration of data cubes 2.5.2 Complex aggregation at multiple granularities: Multifeature cubes 2.6 From data warehousing to data mining 2.6.1 Data warehouse usage 2.6.2 From on-line analytical processing to on-line analytical mining 2.7 Summary 3 6 11 13 14 15 18 19 19 20 22 24 24 25 30 30 31 32 32 33 36 38 38 39 41 www.elsolucionario.net Data Warehouse and OLAP Technology for Data Mining www.elsolucionario.net Contents 3.1 Why preprocess the data? 3.2 Data cleaning 3.2.1 Missing values 3.2.2 Noisy data 3.2.3 Inconsistent data 3.3 Data integration and transformation 3.3.1 Data integration 3.3.2 Data transformation 3.4 Data reduction 3.4.1 Data cube aggregation 3.4.2 Dimensionality reduction 3.4.3 Data compression 3.4.4 Numerosity reduction 3.5 Discretization and concept hierarchy generation 3.5.1 Discretization and concept hierarchy generation for numeric data 3.5.2 Concept hierarchy generation for categorical data 3.6 Summary 3 5 8 10 10 11 13 14 19 19 23 25 www.elsolucionario.net Data Preprocessing www.elsolucionario.net Contents 4.1 Data mining primitives: what de nes a data mining task? 4.1.1 Task-relevant data 4.1.2 The kind of knowledge to be mined 4.1.3 Background knowledge: concept hierarchies 4.1.4 Interestingness measures 4.1.5 Presentation and visualization of discovered patterns 4.2 A data mining query language 4.2.1 Syntax for task-relevant data speci cation 4.2.2 Syntax for specifying the kind of knowledge to be mined 4.2.3 Syntax for concept hierarchy speci cation 4.2.4 Syntax for interestingness measure speci cation 4.2.5 Syntax for pattern presentation and visualization speci cation 4.2.6 Putting it all together | an example of a DMQL query 4.3 Designing graphical user interfaces based on a data mining query language 4.4 Summary 3 10 12 12 15 15 18 20 20 21 22 22 www.elsolucionario.net Primitives for Data Mining www.elsolucionario.net Contents 5.1 What is concept description? 5.2 Data generalization and summarization-based characterization 5.2.1 Data cube approach for data generalization 5.2.2 Attribute-oriented induction 5.2.3 Presentation of the derived generalization 5.3 E cient implementation of attribute-oriented induction 5.3.1 Basic attribute-oriented induction algorithm 5.3.2 Data cube implementation of attribute-oriented induction 5.4 Analytical characterization: Analysis of attribute relevance 5.4.1 Why perform attribute relevance analysis? 5.4.2 Methods of attribute relevance analysis 5.4.3 Analytical characterization: An example 5.5 Mining class comparisons: Discriminating between di erent classes 5.5.1 Class comparison methods and implementations 5.5.2 Presentation of class comparison descriptions 5.5.3 Class description: Presentation of both characterization and comparison 5.6 Mining descriptive statistical measures in large databases 5.6.1 Measuring the central tendency 5.6.2 Measuring the dispersion of data 5.6.3 Graph displays of basic statistical class descriptions 5.7 Discussion 5.7.1 Concept description: A comparison with typical machine learning methods 5.7.2 Incremental and parallel mining of concept description 5.7.3 Interestingness measures for concept description 5.8 Summary i 1 3 10 10 11 12 12 13 15 17 17 19 20 22 22 23 25 28 28 30 30 31 www.elsolucionario.net Concept Description: Characterization and Comparison www.elsolucionario.net Contents 6.1 Association rule mining 6.1.1 Market basket analysis: A motivating example for association rule mining 6.1.2 Basic concepts 6.1.3 Association rule mining: A road map 6.2 Mining single-dimensional Boolean association rules from transactional databases 6.2.1 The Apriori algorithm: Finding frequent itemsets 6.2.2 Generating association rules from frequent itemsets 6.2.3 Variations of the Apriori algorithm 6.3 Mining multilevel association rules from transaction databases 6.3.1 Multilevel association rules 6.3.2 Approaches to mining multilevel association rules 6.3.3 Checking for redundant multilevel association rules 6.4 Mining multidimensional association rules from relational databases and data warehouses 6.4.1 Multidimensional association rules 6.4.2 Mining multidimensional association rules using static discretization of quantitative attributes 6.4.3 Mining quantitative association rules 6.4.4 Mining distance-based association rules 6.5 From association mining to correlation analysis 6.5.1 Strong rules are not necessarily interesting: An example 6.5.2 From association analysis to correlation analysis 6.6 Constraint-based association mining 6.6.1 Metarule-guided mining of association rules 6.6.2 Mining guided by additional rule constraints 6.7 Summary 3 6 10 12 12 14 16 17 17 18 19 21 23 23 23 24 25 26 29 www.elsolucionario.net Mining Association Rules in Large Databases www.elsolucionario.net Contents 7.1 What is classi cation? What is prediction? 7.2 Issues regarding classi cation and prediction 7.3 Classi cation by decision tree induction 7.3.1 Decision tree induction 7.3.2 Tree pruning 7.3.3 Extracting classi cation rules from decision trees 7.3.4 Enhancements to basic decision tree induction 7.3.5 Scalability and decision tree induction 7.3.6 Integrating data warehousing techniques and decision tree induction 7.4 Bayesian classi cation 7.4.1 Bayes theorem 7.4.2 Naive Bayesian classi cation 7.4.3 Bayesian belief networks 7.4.4 Training Bayesian belief networks 7.5 Classi cation by backpropagation 7.5.1 A multilayer feed-forward neural network 7.5.2 De ning a network topology 7.5.3 Backpropagation 7.5.4 Backpropagation and interpretability 7.6 Association-based classi cation 7.7 Other classi cation methods 7.7.1 k-nearest neighbor classi ers 7.7.2 Case-based reasoning 7.7.3 Genetic algorithms 7.7.4 Rough set theory 7.7.5 Fuzzy set approaches 7.8 Prediction 7.8.1 Linear and multiple regression 7.8.2 Nonlinear regression 7.8.3 Other regression models 7.9 Classi er accuracy 7.9.1 Estimating classi er accuracy 7.9.2 Increasing classi er accuracy 7.9.3 Is accuracy enough to judge a classi er? 7.10 Summary 3 10 11 12 13 15 15 16 17 19 19 20 21 21 24 25 27 27 28 28 28 29 30 30 32 32 33 33 34 34 35 www.elsolucionario.net Classi cation and Prediction www.elsolucionario.net ☛ ✫✭✍☞ ✯✬ ✌✏✮✆✎✒✑✔✓✖✰✲✕✘✗✚✱✴✳✶✙✚✵✸✛✢✷✯✹✻✜✣✺✽✌✥✤✦✼✯✾✭✑★✹✿✧✩✵✿✑ ❀✔❁❂✳✶❃✴✳✶✼❅❄✘✹✿✷❅✹❇❆❈✬❂✬❈✬❂✬✍✬❉✬✍✬✍✬✍✬❉✬✍✬✍✬❉✬✍✬❂✬✍✬❉✬✍✬✍✬❉✬✍✬✍✬✍✬❉✬✍✬❂✬❈✬❂✬✍✬✍✬❉✬✍✬✍✬❉✬✍✬✍✬❂✬❈✬❂✬✍✬❉✬✍✬✍✬✍✬ ✪ ❊ ✫✭✬ ❋❍●✸✭✫ ✬ ❄✘❋✭■❏✬❅✮ ❀★✹▲❑✶❱▲▼✒✷❅◆✣✹✿✹◗✳✶✷❅✵❖❲❙✳❉✷❅✷❅✼❳❃✳✶❁✿✺❖✷❅✵◗✼❅✾✣✷❨❀★✹✿✹❩✵◗❀★✳❚❁✿❃❏✷❅❃✣◆❬❘❙✹✿✷❅✳❚❲❙❃❏✳✶✷❅✼❳✼❅✳✶❄✘❁◗✹✿✷❅✷❅✵✿✹❉✷❨❀✔✬✍✹✖❭✦✬✍❪❫✬❉❀❴✬✍✳✶✹✿✬✍✾✭✬❉❁✿✷❅❃✣✬✍❘✚✬❂✵✿✬✍✱✭❀❛✬❉❵❜✬✍✾❏✬✍✳✶✬❉✼❅✷❅✵✩✬✍❄❛✬✍❑❚▼❩✬✍✺❖✬❉✼❅✾✣✬✍✹✿✵◗✬❂❀★❁✿✬❈✷❅❃✣✬❂❘❝✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬✬ ❯❞ ✭✫✭✫ ✬✬ ❋✭❋✭✬❡✬❡❋❊ ❢✩♥♦❃✘✷❅✵◗❃❏❀★✳✶❁✿❁◗❣❤❄❙✳❚✼❨❣❤✐✩✹❇✳❚✺✔❁✿✳✶✷❳✳✶✼❅❀✖❦✣◆❬✼❅❀★❣❤✹♣✳✶❁◗✷❥✬❂✳❚❦✣✬❈✼❅✬❂❀★✹❧✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬✬ ♠q ✭✫✭✫ ✬✬ ❋✭❋✭✬✬❡❯❞ ②✸rs✳✶❑❤❁✿❲❬✷❳✳❚✷✯❦✣❃✴✼❅✳✶❀★✼✩✹❩t✶❑❤❑❚❁❖▼③◆✘❲❬✷❅❃❏✷❨④✣✳✶✼✩❀✖t✘◆✈✳✶✵✩❃❏❄✘◆❬■❏❁❖❀★✳✶✹✚✵✿✷❅✬❉❑❚✐✉✬✍✹❖✺★✬✍✳✶✬✍✼❅❀✖✬❉◆✈✬✍❣❤✳✶✬✍❁✿✷❳✬❉✳❚❦✣✬✍✼❅✬❂❀★✹✇✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬✡✬ ✮✖⑤① ✫✭✫✭✬✬ ❯❊❍⑥❧⑩✢✳✶★✺◗❁ ✳❚✵✿✷❅✵✿✵✿❀★✷❅❘❜❑❜❑❤❃✣❁◗✷❅✷✯❃✣⑦❴❘❉✳✶✵✿❲❙✷❅❑❜❀✔❃⑧✵✿✱✣❑❚❑✣▼③◆✘❲❫✹✚✳★✬✍⑨❖❑❤✬✍❁✸✬❂✺❖✼❅✬❈✾✣✬❂✹✿✵◗✬✍❀★❁✿✬❉✷❅❃✣✬✍❘❬✬✍❲❙✬✍❀★✵◗✬❉✱✣✬✍❑✣◆✘✬✍✹❝✬❉✬✍✬✍✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬✡✬✡✮✖✮❤❋✮ ✫✭✫✭✬✬ ❯✴❯✴❅✬❡✬ ❋✮ ❶✸⑩✢✳❚✼❳✳❚❁✿✹✿✵✿✹✿✷❅✵◗✷❳✺★✷✯❑❜✳❚❃✣✼❷✷❅■❏❃✣✳✶❘❉❁◗✵✿❲❬✷❅✵✿❀★✷❅✵✿❑❜✱✣❃✣❑✣✷❅❃✣◆✘❘❉✹❻❲❙✷❅❃❬❀✔✼❥✵✿✳❚✱✣❁✿❑✣❘❜◆✘❀❼✹❴◆✭❭✒✳✶❸❜✵❇✐✉✳❚❲❬❦❏✳✶❀✖✹◗✳✶❀★❃✭✹✖✹❹❭❽✳❚▼✥❁✿❃❏❑❤◆❫❲❾❸❜✐✉❸❜❲❬✐✩❲❙❀✖◆✘❀✖❑❜◆❺✷❥❑❤◆❺✷❳✹❝◆✘✹✒✬❉✵◗❑❙✬✍❶❻✬❂❿❷✬❈⑥❂✬❂➀s✬✍⑥❂✬✍r▲✬❉➁➂✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬✡✬✡✮✖✮✖❋❞ ✫✭✬ ❞➄✫✭➃s✬ ✷✯❞✭❀✔✬❅❇❁ ✮ ✳✶❁❖✺◗✱✣⑥▲✷❳❘❤✺★❘❜✳✶✼❽✼✯❑❜❲❙❲❙❀★❀★✵◗❁❖✱✣✳✶❑✣✵◗✷✯◆✘❣❜✹❙❀✻✬✍✳✶❃❏✬✍◆❬✬❂◆✘✬❈✷❅❣✘✬❂✷✯✹◗✬✍✷❅❣❤✬❉❀✻✬✍✱✭✷✯✬✍❀✔❁❇✬✍✳✶✬❉❁❖✺◗✬✍✱✣✷❳✬✍✺★✳✶✬❉✼✢✬✍✺❖✼❅✬❂✾✣✹✿✬✍✵◗❀★✬❉❁✿✷❅✬✍❃✣❘✚✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬✡✬✡✮✖✮✖♠♠ ✫✭✫✭✬✬ ❞✭❞✭✬❡✬❡❋❊ ♦♥❻❶ ❢✿➆▲➀❻➀✻❶❻➇❻➃❉❭✣❭✣❶✸♥✸✼❅✾✣✳✶✹◗✼❳✳❚✵✿❀★❃❏❁◗✺❖✷❅❀✖❃✣◆❬❘❙❢✩➆❻✵✿❀✔✹◗❁❇✷✯✳✶❃✭✵◗❘❙✷❅❣❤➀✻❀❛➇✢➀s■✣❀✖❁◗◆✘❀★✹✿✾❏❀✔✺❖❃➈✷❅❃✣✵❖✳✶❘❙✵◗✷✯✳❚❣❜❃❏❀★◆❙✹➉❶✸✬✍✼❅✾✣✬❉✹◗✵✿✬✍❀★✬✍❁◗✷❅❃✣✬❉❘✚✬✍✾✣✬✍✹✿✷❅✬✍❃✣❘❙✬❉✬✍➃s✬❂✷❅❀★❁❇✬❈✳❚✬❂❁❇✺◗✬✍✱✣✷❅✬✍❀★✹➅✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬✡✬✡✮✖✮✖✫q ✫✭✬ ♠➄✫✭✫✭❱▲✬✬ ❀★❞✭♠✭❃✣✬✬❅❯✮ ✹◗✷❅✵✩❄❤❻❶❱✍✩✐ ❦❏➃s✸♥ ✳❚⑥❂➁✣✹✿❀✖❶✸❪◆❫⑥❂➇♦✺❖r❈✼❅❿✦✾✣❭✶➇✒✹◗⑥✲✵✿➊✍❀★❁◗◆✘r❉✷✯❀★❃✭❭✭❃✣❘❙⑥➋✹◗✷❅❲❙✵✩✱✣❄❤❀✔✷❅✐✩✵✿❀★❦❏✱✣❁❇✳❚✳❚❑✣✹✿❁❇◆✘❀✖✺◗✹❙◆✚✱✣✷❳✺❖✬✍✺★✼❅✳❚✾✣✬✍✼③✹◗✬✍✵✿✺❖❀★✼❅✬❉✾✣❁◗✷❅✹◗✬✍❃✣✵✿❘✍❀★✬✍❁◗❲❙✷✯✬❉❃✭❀★❘⑧✬✍✵◗✱✣✬❂✳✶❑✣✼❅✬✍❘❜◆❉❑❤✬❉❦❏❁✿✷❅✬✍✳❚✵◗✹✿✱✣✬✍❀✖❲✡◆❈✬❉❑❤✾✣✬✍❃✚✹✿✬✍✷❅❃✣✺❖✬✍❑❜❘✚❃✣✬❉◆✘❃✣✬✍❄✘❀✖❃❏✺❖✬❂✵◗✳✶❀✖✬❈❲❬◆✚✬❂✷❳❁◗✺❻❀★✬✍❘❤❲❙✬✍✷❅❑❜❑✣✬❉❃✣◆✘✹✢✬✍❀✔✼✯➌❻✷❅✬✍❃✣✷✯✬❉✵◗❘ ✱❛✬✍✹◗✬✍✬✍✾✘➍⑧✬❂✬❂✺❖✬❈✬❈✷❅❀★✬❂✬❂❃✘✬✍✬✍✵✿✼❅❄❉✬❉✬❉✱✭✬✍✬✍✷✯✬✍❘❜✬✍✱ ✬✍✬✍✬➋✬➋❋✣❋❤⑤✮ ✫✭✫✭✬✬ ♠✭♠✭✬❡✬❡❋❊ ◆❺➊✍❱✍❀★⑩✢➇✒✣❃ ❻●▲r✹✿✷❅❢✿❶❻✵✩❶❻❄ ❿✦➁➎➆▲❭❏✬✍➇❻➊▲✬✍❭❏❁❇❶✸◆✘✬❉❀✔✼❅✬✍❁✿✾✣✷❅✹◗❃✣✬✍✵✿❘❙❀★✬❂❁◗⑩❽✷✯✬❈❃✭❑❤❘✚✬❂✷❅❃✘✬✍❦❏✵✿✳✶✹❻✬❉✹◗●✢❀✖✬✍◆❬❑➏✬✍❑❤❢✿✬✍◆✘❃❀★✬❉❃✘◆✘✵✿✬✍❀★✷➐❃✣▼✏✬✍❄❬✹◗✷❅✬❉✵✩✵✿❄⑧✱✣✬✍❀❉◆✘✬❂✷❅❶✸✹✿✬✍✵◗✼❅✾✣❁✿✬❉✷❅✹✿❦✣✬✍✵◗✾✣❀★✬✍❁✿✵◗✷❅✷❅✬❉❃✣❑❤❃✚❘❙✬✍▼✥➁❺✬✍✾✣✵✿❃❏✬✍❁✿✾✴✺❖✬❉✵◗✺❖✷✯✵✿✬✍❑❜✾✣❃✣❁◗✬❂✹➑❀❾✬❈✬❂✬❂✬❂✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❂✬❂✬❂✬❈✬❈✬❈✬❂✬❂✬❂✬✍✬✍✬✍✬❉✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬✍✬✍✬✍✬➋✬➋✬➋❋✣❋❤❋❤❊❋✮ ✫✭✬ q➄✫✭➒✍✬ ❁◗q✭✷❳✬❅◆❜✮ ✐✉❦✴✳✶➁❺✹✿●❻❀❴◆⑧❢✿r✻✽✺ ✼✯✚➒ ✾✭✹✿❭✘✵✿⑥❧❀✔❁✿✷❅➁✘❃✣✵❖❘✚✳✶✵◗❲❙✷✯✹◗❀✔✵✿✷❳✵✿✺★✱✣✳❚❑✣✼❷◆✘❢✩✹➓❃✘▼✏❑❤✬❉❁◗❲⑧✬✍✳❚✬✍✵✿✷❅✬✍❑❤❃❙✬❉✬✍➒✍✬✍❁◗✷❳◆✚✬❉✬✍⑥✻■✭✬❂■✣✬✍❁✿❑✘✬❉✳❤✬✍✺◗✱➅✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬➋✬➋❋✶❋❤❯❞ ✫✭✫✭✬✬ q✭q✭✬❡✬❡❋❊ ✰➅❶❻❿➎✳❴❢✿❣❜→✍❀✖✸❶ ✻➆ ✼❅➇❻✾✣✹✿❭✴✵◗❶✸❀★❁✖✼✯✾✭❭✒✹✿❶✸✵✿❀✔✼❅✾✣❁✿✷❅✹◗❃✣✵✿❘✚❀★❁◗✱✣✷❅❃✣✷❅❘❤❘✚✱❺✾✣✐➣◆✘✹✿✷❅✷❅❃✣❲❬❘➏❀★➌❻❃✣✹✿✳❴✷❅❣❤❑❜❀★❃❏✼❅✳✶❀★✵❻✼✣✹◗✵◗■❏❁❇✳✶✳❤❃✭✺✽❀❂✹✩▼✏✬❉❑❜❁✿✬✍❲⑧✬✍✳❚✵✿✬❉✷❅❑❤✬✍❃➔✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬➋✬➋❋❤❋❤✫♠ ✫✭✫✭✬✬ ✫➄ ❫ ❪ ✣ ❑ ✘ ◆ ✔ ❀ ❨ ✼ ✩ ✐ ❏ ❦ ❚ ✳ ✿ ✹ ✖ ❀ ❫ ◆ ✺ ❖ ❅ ✼ ✣ ✾ ◗ ✹ ✿ ✵ ★ ❀ ◗ ❁ ✯ ✷ ✭ ❃ ❙ ❘ ❙ ❲ ✔ ❀ ✿ ✵ ✣ ✱ ✣ ❑ ✘ ◆ ↔ ✹ ✍ ✬ ✍ ✬ ✍ ✬ ❉ ✬ ✍ ✬ ✍ ✬ ❉ ✬ ✍ ✬ ❂ ✬ ✍ ✬ ❉ ✬ ✍ ✬ ✍ ✬ ❉ ✬ ✍ ✬ ✍ ✬ ✍ ✬ ❉ ✬ ✍ ✬ ❂ ✬ ❈ ✬ ❂ ✬ ✍ ✬ ✍ ✬ ❉ ✬ ✍ ✬ ✍ ✬ ❉ ✬ ✍ ✬ ✍ ✬ ❂ ✬ ❈ ✬ ❂ ✬ ✍ ✬ ❉ ✬ ✍ ✬ ✍ ✬ ✍ ✬ ➋ ✬ ❤ ❋ ① ①➄✫✭➊▲✬ ✾✣①✭✵◗✬❅✮✼✯✷❅❀★❁✻➁❺✳❚✵❇❃❏✳✶✳✶✵◗✼❅✷❅❄✘✹✿✵✿✹✿✷❳❅✷ ★✺ ✹✳❚✼✦✬✍✳✶✬✍■✣✬❉■✭❁✿✬✍❑➈✳❜✬✍✺◗✬❂✱❙✬❈▼✥❑❤✬❂❁✸✬✍❑❤✾✣✬❉✵◗✬✍✼✯✷❅❀★✬✍❁✻✬✍◆❺❀★✬❉✵✿✬✍❀✖✺✽✬✍✵✿✷❅✬❉❑❤❃↕✬✍✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬➋✬➋❋❤❊❤①⑤ ✫✭✫✭✬✬ ①✭①✭✬❡✬❡❋❊ ❱▲❱▲✷❅❀★✹✿❣✘✵❖✷❳✳✶✳✶❃❏✵◗✺✽✷❅❑❤❖❀ ✘❃✐✉❦✴✐✩❦❏✳✶✹✿✳✶❀❴✹◗◆❫❀✖◆✚❑❤❑❜✾✣✾✣✵◗✼❅✵✿✷✯✼❅❀✔✷❅❁❹❀★❁✻◆✘◆✘❀✔✵✿❀✔❀✖✵✿✺❖❀✖✵◗✺❖✷❅✵◗❑❤✷❅❑❤❃ ❃❝✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬❂✬❂✬❈✬❈✬❂✬❂✬✍✬✍✬❉✬❉✬✍✬✍✬✍✬✍✬✍✬✍✬➋✬➋❊✣❊❤❋✮ ✫✭✬✯✮❴⑤➅➁✘✾✭❲❙❲⑧✳❚❁✿❄➙✬✍✬✍✬❉✍✬ ✬✍✬❉✬✍✬✍✬❂✬❈✬❂✬✍✬❉✬✍✬✍✬✍✬❉✬✍✬✍✬❉✬✍✬❂✬✍✬❉✬✍✬✍✬❉✬✍✬✍✬✍✬❉✬✍✬❂✬❈✬❂✬✍✬✍✬❉✬✍✬✍✬❉✬✍✬✍✬❂✬❈✬❂✬✍✬❉✬✍✬✍✬✍✬➋❊❤❊ ✮ www.elsolucionario.net ✁✄✂✆☎✞✝✟✂✆☎✡✠ www.elsolucionario.net ✁✄✂✆☎✞✝✟✂✆☎✡✠ ✸ ✵❤ ❤t ⑥ ⑥⑥ ✶✶ ✶✶ ➐✶ ➐➐ ➐➐ ➐➐ ➐➐ ➐➐ ❿❿ ❿❿ ❿❿ ❿❿ ❿❿ ❶❶ www.elsolucionario.net ☛ ✍☞✯✶ ✷✹✸✻✌✏✎✑✌✒✺✽✎✑✓✕✼✿✾✬✔✗✼❁❀❃✖✙❂❅✘✛❄❇❆✹❈❉✚✑❂❋❊●✜✒✢✤❆❇❍■✣✦✾❏✥★❂❋✾✙✧✩❑❏✚✪✢✬▲◆✫✭▼✬✖✯❄❇❊●✮✗❆❖❑✤✰✲❆❇✲✱✯✳✴✼❁✱✾✯◗●❆❇❍❘✾❙❂❅❄✬❚❯✾✙❂❋❄❇❱✤◗●❆❇◗❲❍❅❳❲❨❩❍❘✲❬✯❄✹✼❪❭❴❫✽❂❋❊❵❂❜❛★❝❘❞❵✼❉❡❵❊●◗✦✷✽✷✽✷❢✷✽✷✽✷❢✷✽✷✽✷✗✷❣✷✗✷✽✷❢✷✽✷✽✷✽✷ ✯✶✯✶ ✷✹✷✹✸■✸■✷❇✷♠❧✸ ❚★✺✐♥❘✼❁✾✬♥■❀●✼❁✼❁❀❵♥✤❂❋❄❇❂❋❆❇❊●❈✴❆❇❂❋❍■❊❥✾❏❆✹❍■❂❋✾✲✾✙❍■❑❏✾❏❂❅◗❥❬✬❊●❬✬❀❥❀❥▼❙❍❉❡❵❭♦❊●▼✯❆❇♣❀●✼✴❂❋❑✕❊●❆❇❑✬❍■✾❜❂❋❊❵❆❇❂❦✾✲◗❥❬❙✷✽❂❋✷❢❊❥❆❖✷✽❂❋❄q✷✗❂❋✷✽✾✙❑✲✷❢✷✽r✷✽▼✯❄✹✷❢❊❥❆❇✷✽r✷✽✼✴❑✤✷✽❆❖❂✽✷❢❑✬✷✽❂❋✷✗❊❵❂❢✷❣♥■✷✗✼❁✾✬✷✽✼❁✷✽❀❵❂❋✷❢❄❇❆❇✷✽❈✴❂❋✷✽❊❥❆✹✷❢❍■✾s✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✯✶✯✶ ✷✹✷✹✸■✸■✷♠✷ t❤ ✺✐✺✐✼❁✼❁✾✬✾✬✼❁✼❁❀❵❀❵❂❋❂❋❄❇❄❇❆❇❆❇❈✴❈✴❂❋❂❋❊❥❊❥❆✹❆✹❍■❍■✾✲✾✲❍❅❍■❳✉✾❏❍❘❆❇❝❘✾✬❞❪④✯✼✴✼❁❡❵❀●❊❯❆❇❊●❆❖✼❉❑✤❑❏✼✿✾✈❂❅❊❥✾❙❆①✇❙❑♣✼❁❑✤❀●◗✽✼❁❀❥❂❋❆✹⑦■✾❙✼✴❑②❑②❡❵❬✬❄❖❂❋❀●◗❥❍■◗❃❬❙③❋✼✿◗❥❀●▼✬❊●❝✩❆❇✼❁❡❵◗⑧❄❖❂❋◗●✷✽◗★✷✽④✬❆❇✷✽✼❁❀❃✷❢❂❅❀❃✷✽❡❥④✬✷✗❆❇✷❣✼❁◗⑤✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✯✶✯✶ ✷✹✷✹✸■✸■✷♠✷♠⑥❶ ✺✐❨❩❄❖✼❁❂❅✾✬◗●✼❁◗❸❀❵❷❸❝❙❂❋❄❇❂❅❆❇◗●❈✴✼✴❂❋❑②❊❥❆✹❍■♥❘✾✲✼✿✾✬❍■✼❁✾◆❀❃❂❅❡❪❄❇❆✹❄⑨❈❉❂❅❂❋◗●◗❯❊●❆❇❍■❡❵❍■✾◆✲❂❅❬✙✾❙❍❘❑r◗❥❆✹②❊❥❆❇❆❇❍❘✾✬✾r❆❇✾✬④✬♥❢❆❇✼❁❍❘❀❵❝❘❂❋❞❪❀❃✼✴❡❥❡❵④✬❊❯❆❇✼❁❑✬◗⑩❂❅❊❃✷✽❂r✷❢❡❵▼✬✷✽❝✙✷✽✼❁◗✭✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ❧❦✶✯♣▲ ✷ ❧✯❆❇✾✬✷❇✸ ❆❇✾✬♥r❹♦❹✤❬❙❬❙❂❋❂❅❊❥❊●❆⑨❆❖❂❅❂❋❄q❄q❑✬❫✽❂❋❂❅❊❵❂❜❊❃❂❋❡❪❝✙▼✬❂❋❝❙◗●✼✭✼✿◗❺❡❵❍❘✷❣✾✬◗❥✷✗❊●❀❥✷✽▼❙✷❢❡❵❊●✷✽❆❇❍■✷✽✾❻✷✽❂❋✾❙✷❢❑②✷✽◗❥✷✽❬❙✷❢❂❋❊❥✷✽❆⑨❂❅✷✗❄q❛✽✷✽❼✩✷❢❚✗✷✽❽❾✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❧✯❧✯✷♠✷♠❧❤ ❹♦❹♦❬❙❬❙❂❋❂❋❊❥❊❥❆⑨❆⑨❂❅❂❅❄q❄q❡❥❂❋④❙◗❥◗●❂❋❍✬❀❵❡❵❂❘❆❖❡❵❂❋❊❥❊❥✼❁❆✹❀●❍■❆❇✾❏❈✴❂❅❂❅❊●✾❙❆❇❍❘❂❋✾➀❄❇❱✤◗●✷❢❆❇◗➁✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❧✯❧✯✷✷♠t⑥ ❹♦❹♦❬❙❬❙❂❋❂❋❊❥❊❥❆⑨❆⑨❂❅❂❅❄q❄q❡❵❡❵❄❖❄❇▼✬❂❋◗❥◗●◗●❊❥❆①✼❁✇➂❀●❡❁❆❇✾✬❂❅♥r❊●❆❇❍❘②✾♣✼❁❂❋❊●④✯✾❙❍♦❑②❑♦❬✬◗➃❀❥✷✽✼✴❑✤✷✽❆❖❡❵✷✽❊●❆❇✷❢❍■✾ ✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ❤❦✶✯▲♣✷ ❤✯❇❆ ✾✬❇✷ ✸ ❆❇✾✬♥✭❹♦➄➅❆✹②❆❇✲❆❇❄⑨✼❵❂❅❷●❀●❹✤❆❇✼❁❊❸❱✽❀❥❆❇✼❁◗●◗➃✼✴❂❅❫✽❀❃❡❥❂❅④s❊❃❂❋❆❇❝✙✾♣❂❋❊●◗●❆❇✼✿✲◗❯✼❪❂❋❷➇✾❙◗❥❑②✼❁❀●❆❇➄✑✼❁✼❁◗❯✲❂❅✾❙❬✙❂❋❍❘❄❇❀❵❱✤❂❋◗●❄✩❆❇◗➈❫✽❂❋❊❃✷✗❂❅✷✽❝❙❂❋✷❢◗❥✼❁✷✽◗➆✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❤✯❤✯♠✷♠✷ ❧❤ ➄✑❽➊❀❥✼❁✼❁❀❥✾❙❆❇❍♦❑♣❑♦❆⑨❂❋❡❪✾❙❆✹❊❸❂❅❱✲❄❇❱✈❂❅◗❥✾❙❆❇◗➉❂❋❄❇❱✤✷✽◗●❆❇✷✗◗❯✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❤✯❤✯✷♠✷ t⑥ ❹♦❽➎✼✴❄⑨❂❅➋■✾✲▼✬✼❁②✾✤❊●❆✹❆❖✾✯❂❋❆✹❄✩✾✯❬✙♥❢❂❋❝✤❊●❱✲❊❥✼❁❑✤❀●✾➌❆❇⑦✈✲❆❖❑✤❆❇✼❪✾✬❷➏❂❅❆❇✾✬✾❙♥➍❑■❷●✷✽❡❵❍❘✷✽✾❙➋■✷✽▼✬✷❢✼✿❀✲✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ t ▲♣✶✯✷ t✙❆❇✾✬✷❇✸ ❇❆ ✾✬♥✭✑➄ ➄✑✼❵✼❵❭✬❭✬❊❯❊❯❑✬❫✽❂❅❂❋❊❃❂✭❊❃❂❅❂❋❝❙✾❙❂❋❂❅◗❥❄❇✼❁❱✈◗➅◗❥✷✽❆❇◗➃✷✗❂❅✷❣✾❙❑②✷✗❆✹✷✽✾♦❳✒✷❢❍❘❀❥✷✽❏✷✽❂❋✷✽❊❥❆❇✷❢❍❘✾✭✷✽❀●✷✽✼❁❊❥✷❢❀●❆❇✷✽✼❁⑦❘✷✗❂❋✷✽❄➅✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ t✙t✙✷♠✷♠❧❤ ★➑★❫ ✼❁❍✬❱✤❡❵▼✬➒❩②❍❘❀❵✼❁❑■✾✤❷➇❊➃❝✙❂❋❡❪❄⑨◗●❂❅✼❉◗●❑s◗❥❆➓❂❋✇✩◗❥❡❁◗●❂❋❍✬❊❥❡❵❆✹❆❖❍■❂❋✾s❊❥❆✹❂❋❍■✾❙✾❏❂❅❂❅❄✹❱✤✾❙◗❥❂❋❆✹❄❇◗➈❱✤◗●❆❇✷✽◗➅✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ⑥❦✶✯✶✯▲♣✷✷ t✙⑥✯❆❇✾✬✷✷❇t✸ ❆❇✾✬♥r❚★❹♦▲♣❆✹✬▼ ②✬▼ ❊●❍■❄❇❇❆ ❊❥❄⑨❏❂❅❆✹②❀●❂❅❆❇❊❸✼✴❊●❱✽✼✴❑✤❑❴❆❖◗●❂✽✼✴✼❵❂❅❫✽❭✬❀❃❊●❡❥❂❋❀❃④s❊❃❂■❂❅❡❵❆❇❝❙❊●✾♣❆❇❂❋❍■◗❥r✾❏✼❁◗❜▼✬❍❅❄❇✷✽❳✉❊●❆❇◗❥r✷❢❊●❀●✷✽✼✴▼✙❑✤✷✽❡❵❆❖❊●❂✽✷✽▼✬❑✬❀❥✷❢✼❁❂❅◗❢✷✽❊❃❂✞❆❇✷✽✾✲✷❢✷❢❊❥✼❵✷✽✷✽❭✬✷✗✷✗❊✗✷✽✷✽❑✤❍✬✷❢✷❢❡❵✷✽✷✽▼✯✲✷✽✷✽✼❁✷❢✷❢✾✤✷✽✷✽❊●◗✍✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷❢✷✽✷✽✷✽✷✗✷✗✷✗✷❣✷❣✷❣✷✗✷✗✷✗✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✗✷✗✷✗✷❣✷❣✷❣✷✗✷✗✷✗✷✽✷✽✷✽✷❢✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✽✷✽✷✽✷✷✷ ✶✯✶✯✷✷ ⑥✯⑥✯✷♠✷♠❧❤ ▲◆▲◆▼✬❆✹✾✯❄❇●❊✹❆ ✾✯❆①❷➏♥➔❑♦❆✹❂❅②◗●◗●✼❁❍✬✾✬❡❵◗❥❆❖❆✹❂❅❍■❊●✾❙❆❇❍❘❂❋✾✬❄✙◗➅❂❋✾❙❆❇✾②❂❅❄✹r❱✤◗❥▼✬❆✹◗❩❄❇❊●❍❋❆❇r❳✑r✼✴❑✤▼✬❆❖❄❇❂✽❊●❆❇❑✬r❂❋✼✴❊❵❂✆❑✤❆❖❂✽✷✗❑✬❂❅✷✽❊❃✷❢❂✻✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ❶❦✶✯▲♣✷ ❶✯❆❇✾✬✷❇✸ ❆❇✾✬♥✭→✛❊●④✯✼✿✼✗❝✲✛→ ✲ ❍■❆❇❀●✾✬❄❖❆❇❑■✾✬❷❸♥✭→➣❂❋❆❖✾❙❑✤❑②✼❵❷❸❂r→✛❡❵✼❁❄❖❝↔❂❋◗●◗❥❆①✷✽✇➂✷❢❡❁❂❋✷✽❊❥❆❇✷✽❍❘✾♣✷✽❍❋✷❢❳✑✷✽→✛✷✽✼❁✷❢❝♣✷✽✲✷✗❆❇✾✬✷✽❆❇✾✬✷❢♥✽✷✽❊❃✷✽❂❅◗●✷❢↕✤◗✲✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❶✯❶✯✷♠✷♠❧❤ →✛→✛✼✿✼✿❝✲❝✲✬▼●◗ ❊❥◗❵❀●❂❋▼❙♥❘❡❪✼❣❊●▼✬✲❀❥✼❜❆❇✾✬②❆❇✾✬❆✹♥➙✾✯❆✹✾✯✷❣♥✟✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ❿❦✶✯❹✤▼✯✷ ❶✯✲✷ t ❏❂❅→✛❀●❱➉✼✿❝❏✷✽❵❡ ✽✷❍■✾✈✷❢❊❥✼❁✷✽✾✤✷✽❊❯✷❢②✷✽❆✹✾✯✷✽❆✹✾✯✷✗♥➛✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✲➜ ❩➞ ✿➟ ❂➝ ✒➠ ✿➠ ❊✣✮ www.elsolucionario.net ❦▼✏✴❑❜❀❂❁✻❲❫❱▲◆✘✷❅✳❤✷ ✹❇◆✘✺❖❀✔❑❜❀▲❁✿❁❇❀★✷❅◆✣❃❙❃✘✳❚✵✍❃❏❁✿❀✔✵✿✺❖❘➈❀★❄❫✹◗✳✶✵❉❁❖✵✿◆❬❀★✹✿✹◗✵❖✵✿✵✿✳✶✷❅❑➏❃✣✵◗✷✯❘❫➌❻✹◗✵✿✱✣✳✶✷❳✺❖✷❳❃❏✺✿✹❉◆❬✱❫✱✴❣❤✵◗✳❴❀★✳✶❣❤✹✿✼❅❀➏✵▲✾✣❀✍✵✿❦❏❑➏❀★❑❚❀✔▼ ■✣❃➷✵◗❁✿✱✣❀❖■✣▼✥❀❉❀★❁✿❁✻❑❜✹◗✵❇■❏✷❅✳✶❃⑧❑❜✵◗✹✿✷❅✳❈❀✖✹✿◆➫✵✿■❏✷❳✺▲✳❚➌❻❁✿▼✥✱✣✵✿❑❤✷❳✷❳❁❻✺❖✺◗✾✭✱➷❀★✼❥✼❅✳❚❀★✳✶❁❩❲❬✼❅✼❅✹◗❑✶❀★✷❅➌➋❃✘✵✿✾❏✵ ✳❚✵✿✳ ❑✵✿✷❅❑❤✳❤✷❅❃✦✹ ✺★✺✽✬✢✣❀★⑥▲t❷■✣◆✘✵❉✹✿✹◗✷❅✹✿❑❜✾✣✵◗❁❂❲❙❁✿✷❅❁◗❦✣✷❅❀✏❃✣✾✣⑨❖❘❉❀✖✵◗✺✽✷✯✵◗❑❜✵ ✱❏❃❙✳✶✳❬✵❻❑❚➌✸▼ ✹◗❑❤❑❤➋❲❬❁ ✘✷❅❀❻✹❻✷❅❃✣✹✿❦✣❘❬✵❇✾✭✳❚✱➈✷✯✵✿✼❅❄✘✷❅✵✸✹✿■✴✵◗✵✿✷❳❑❤❑ ✺ ✵◗✱✣❏↕❀★❃❏✹✿✱❏◆❬✷❅✹❴✳❚➌❻✬ ✹❻✱✣❶✸❦❏❀★❀★✱✭✵◗❀✔✱✣❑❤❃ ✷❳❀★✺❖❁✍✺◗❀➏✱✣❣❤✷✯❑❜✳✶✹✍✹✿✼❅❀★✾✣✵◗❃❑ ❀ ❬◆✘✷❅✹❇✷❅✹✻✺✽❑❤◆✘❁❇✷❅◆✭✹❇✳✶✺❖❑❜❃✘❁❇✵✻◆✣✳✶✳❚❃❏❃➈◆❬✵❴✬✻✵◗✱✣➁✘❀❉✷❅❘❤➌✸❃✭✷ ❑❤❷❁ ✺★✘✳✶✷❅❃✘❃✣✵❻❘➏■✣✱✘❁◗❄➈❑❤■✴❦❏❑❤✳❚✵◗❦✣✱✣✷❅❀★✼✯✷❅✹◗✵✩✷✯➏❄✹❻✷❅è✄✹❻☎ ❁◗❀✏⑨❖❀✖✺❖✵◗➝❀✖◆❷☎ ✬ ✳ ▲✷❅✹❻❀★❣❤✳❚✼✯✾✴✳✶✵✿❀❴◆❷✬❻❢✥✞▼ è✄☎ ✻✷❅✹❻✹◗✾✘➍⑧✺❖✷❅❀★❃✘✵✿✼❅❄❫✹✿❲❫✳✶✼❅✼✩t❤✵◗✱✣❀★❃ ✳ ✷❅✹ ý ự ýỵ tý ỵ ý t tỵ tý ỵ t ttttt ❑❜✳✶✘❃⑧✵❇❃✣✳➏❲❫❑✶❲❬➌❻✳❴❄❉✼❅✷❅❀✖❃✣◆✘❃✣✷❅❃✣❘❜❑❜❀❘✵ ❦✴➌❻❀ ✳✶✹✻✘❃✣◆✘❑✶❀★❣❜➌❻❀★❃✦✼❅❑❤✬❉■✴➁❺❀✖✵❇◆❫✳✶✵◗❑❜✷❅❁❩✹✿✵✿❑❜✷❳✺★❦✣✳❚✹✿✼✢❀★❁◗❲❙❣❤❀✖❀★◆ ✵◗✱✣◆✘❑✣✷❅◆✘✹✿✵✿✹❂❁◗✷❅◆✘❦✣❑❬✾✣✵✿❃✣✷❅❑❤❑❜✵✍❃ ❘❜✺✔✾❏✳✶✳✶❃✣❁❖❃✣✳✶❑❜❃✘✵❻✵✿❀★❦❏❀➏❀❉✵✿✳❜✱✴◆✘✳✶❀✖✵❉❵❜✾❏✳✶✼❅✳✶✼✦✵◗❑❜❀★✼❅✾✣❄❙✵✿✼❅❲❬✷❅❀★❁◗❑❺✹✻◆❺❀★➌❻✼❅❀✖✷❅✼❅◆✚✼③❦✴➌❻❀❈✷❅✵✿▼✏✱❑❤✾✣✳❚❃✴❃➈◆❬❄✚✹◗▼✏❑❤✵❇✳❚❁▲❃❏✵✿◆✣✱✣✳✶❀✚❁❖◆❫✺★✳❚◆✘✹✿❀★✷❅✹✿✹❉✵✿❁◗➌❻✷❅❦✣✱✭✾✣❀★✵✿❁✿✷❅❀✚❑❜❃✦❃✣✬❑❬✹✿■✴❀✖✺❖✷ ✺➏✵◗❀★✹✿✵ é❻ê ❻ê ✲đ✿ó❜ð✣ï✢ú✻ơ❷÷ ▲ï③ó✘÷ ✒ư❻ð✣õ◗đ✿÷✦ø ✻÷➎ð❺÷❽ơ✴ð✣đ ✒ú ●✢✷❅❃ ❑ ➓✺✽✼▲❑❤❃✣✾✣❑❤❃✘❁◗✵✿❁✻❀✔❁❻✳✶❃❏❲⑧◆❫✳✶✷❅rs❃➏❘✼❅✷✯❲❬✮✖①❤✷❅①❜✵❇q✳✶✔✵◗✷❅✬ ❑❤❃✣✹❽✷✯❲❬■❏❑❜✹✿❀✖◆➏❦✘❄✚✹◗✵❇✳✶✵◗✷❅✹✿✵✿✷❳✺★✳❚✼❷❲❙❀★✵◗✱✣❑✣◆✘✹✖t✘✵◗✱✣❀✻❃✭❑❤✵✿✷❅❑❜❃❙❑✶▼③◆❺✷✯✹◗✵❇✳❚❃❏✺❖❀❖✐✩❦❏✳✶✹◗❀✖◆ ✩❱❂♥ ♦❑❤✾✣✵◗✼✯✷❅❀★❁✸✷❅✹❩✷❅❃✘✵✿❁◗❑✣◆✘✾❏✺❖❀✖◆ ⑥❧◆✘✷❅✹◗✵❇✳✶❃✴✺❖❀❖✐✩❦❏✳✶✹◗❀✖◆ ✉❱✍♥ ✸❑❤✾✣✵◗✼❅✷✯❀✔❁❻✷✯✹❻◆✘❀ ✴❃✣❀✖◆✳❚✹✸▼✏❑❤✼❅✼❅❑✶➌❻✹✖✬ ▼✏⑥✻❁❇✳❜❃➷✺❖✵✿❑❤✷❅❦❤❑❤⑨✽❃ ❀✖✺❖❬✵ ❑✶✳ ▼✒✵✿✷❅❃➷✱✭❀❂✳❑❜◆✣❦❤⑨❖✳❚❀✖✵❇✺❖✳✶✵◗✹◗✹✻❀★✵ ✷❅❃ ➧✲✷❅✹❉✼❅✷❅❀❼✳✳❚◆✘✵❹✷❅✹◗✳✚✵❇✳✶◆❺❃✴✷✯✺❖✹◗❀❖✵❇✳❚✐✩❦❏❃❏✳✶✺❖✹◗❀❉❀✖❘❜◆➷❁✿❀✖❑❜✳❚✾✣✵✿✵✿❀★✼❅❁▲✷❅❀★✵✿❁❉✱❏➌❻✳❚❃ ✷❅✵✿✱➫■❏▼✥❁✿✳❚❑❤❁❇❲ ✳✶❲❬✳ ❀★✬ ✵✿❀✔❁✿✹ ➅✳❚❃❏◆ t✦✷✩✬ ❀❤✬❅t ✚✶ ★t❽✷❨▼❂✳❚✵✍✼✯❀❴✳✶✹✿✵✚✳ ✵✿➌❻❱▲❀✔✷❅✷❅✹✿✵✿✹✿✵✿✱✵❇✹▲✳❚✴➌❻❃❏✵✿✺❖✷❅✵✿❀❖✵✿✷❅✐✩✱⑧❃✣❦❏❘✚✳❈✳❚✹✿✵◗✹✿❀✖✱✣✷❅◆❬❃✣❀❉❘❜❑❤❑❜✼❅✾✭❀✻❦✣✵✿✹✿✳✶✼❅❀★✷❅✼❅❀★❁◗❘❤❁❩❣❤❑❜❀✖❁✿❘❜◆➫✷❅❀★✵✿❃✣✱✣◆✘❀★❲❝✷❅❁❖✹✿✳✶✵◗◆✘❁✿✼❅✷❅✷❅❀✔⑦★❦✣✵✿❀★✾✣❀✖✹❻✺❖✵◗✵◗✷❅❑❜❑❤✷❅✵✿❃✣❃❫✱✣❘✚❀★✷❅❁❻❃➈❑❤✵◗❃✣❃✭❑✚✼❅❑❤❄➏✵✿✹✿✷❅❑❜❑❤❑❜❲❙✾✣❃✣✵◗✹❩❀✍✼❅✷✯■✭❀✔✹✿✵❖❁✿❁✿✹❻❑✶✳✶❣✘❃❏❑✶✷❳◆✣▼✦◆✘✳❚✵◗❀✖❁❇✱✣◆➏◆❀✍❦✘◆❺■✣❄✚✷✯❁✿✹◗❑❜❃✘✵✿■❏❁◗✾✣✷✯❑❜❲❙❦✭✹✿✾✣❀✖❀★✵✿❁◗◆❬✷❅❑❤❑❤✵✩✾✣❃➫❄✘✹❻■✴✳✶◆✘❀★❃❏✷❅✹✖✹❇◆❫✬♦✺✽❑❤❢✩✺◗✵❹❁❇✱✣◆✭❑✘✳❴✳✶❑❤❣❜❃❏✹◗❑❤✺❖✷✯✷❳❃✭❄✚◆✘❘❙✹❩✵◗❀★✳❈◆✘✹✿✷❅✵◗✼❅✹❇❑❤✹❂✺❖✵✸❑❜✳❚❁❇❑✶❃❏◆✣▼③◆✚✳❚✺❖❃❏❁◗❑❜✺❖❀★❲❙❄■✣✼❳■✣✳❤✵◗✾✣❀★✺❖✵❖✹✿❀✔✵◗✳✶✹❻✹✖✵◗✬▲❲⑧✷✯❑❜●❻❃ ✳✶❃✘✱✣✳❚❄❉❀★✹✿❁✿✹◗❑❚❀✽❑❺▼③▼✏✺✽❑❤✵◗✷❥❁◗✳❚✱✣❀❤✵✿❀★t✦❀✖✹✿◆ t ỵ ựỵt ỵ ✵✿✳✚❑➫❃✭✳❫❑❤❁✿✹✿❲❫■✴❀✖✳✶✺❖✼✦✷ ◆✘✷❅✺❫✹◗✵✿◆✘❁✿✷❅✷❅❦✣✹❇✺✽✾✭❑❤✵✿❁❇✷❅◆✭❑❤❃❫✳✶❃❏❑❤✺❖❦✭❄➷✹✿❀★✵◗❁◗❀★❣❤✹✿✳✶✵❴t✵✿✷❅✳❑❜❃✣✷✯✹✍✹➏✵✿✳✶✱❏✼❅✹✿✳❚❑ ✵✻✼❅✳ ✷❅❀❼✚❊✈✶ ❑❤❁▲❲❙❑❤✍❁◗❀✍❑❜✾✣✹✿✵✿✵❇✼❅✳❚✷❅❀★❃❏❁✍◆✣✳❚▼✏❑❜❁❇◆❁❉✹✿◆✘❑❜❀✔❲❙❣➈✷❳❀➏✳❚✵✿✹✿✷❅✾✣❑❤✷❅❃✣✵❖✹s✳✶❦✣▼✏❁✿✼❅❄➷❑❜❲➉◆✘❀ ✵◗❏✱✣❃✣❀➏❀❴❲❙◆ ❀✖➅✳❚❃ ✳❚❃❏✺✽◆ ❑❤❃✣✹◗✬✷❥◆❺✭❀★❁✿❑❤❀✖❁❉◆ ❀✽✵✿④✭❑❬✳❚❲❙❦❏❀➏■✣✼❅❑❤❀❤✾✭t➎✵✿✷❨✼❅▼❻✷❅❀★▼✥❁✿❑❤✹❴❁ t ✵✿✱✭❀★❃➁✘❀✔✵✿❣❤✱✭❀★✷✯❁❖✹✻✳✶◆❺✼✴❀ ❀❖❏➍⑧❃✣✺❖✷❅✷❅✵✿❀★✷❅❑❜❃✘❃⑧✵❹✳❚✺★✼❅✳❚❘❤❃⑧❑❤❁◗❦✴✷❅✵✿❀❉✱✣✾✣❲❬❃✭✹✦✷ ✴▼✥❑❤❀✖◆❬❁✒❲❬❦➈❄❫✷✯❃✭✳ ✷✯❃✭✚❘❂✶ ◆✘✷❅✉✹✿⑤ ✵❖✳✶①❜❃❏①❤✺✽✫❤❀❖✫ ✐✉❦✴❇⑤✳✶✹✿✮✖❀❴❊ ◆❙❑❜✉✐✉✾✣❑❜✵✿✾✣✼❅✷❅✵✿❀★✼❅❁◗✷❅✹❩❀★❁❴✱❏✬ ✳❴❣❜❀❻❦❏❀✔❀★❃◆✘❀★❣❤❀✔✼✯❑❜■❏❀❴◆❷✬✢●❻✱✣❀★❄❙✳❚❁✿❀✻❑❜✾✣✵✿✼❅✷❅❃✣❀✖◆❬✳✶✹✢▼✥❑❤✼❅✼❅❑✶➌❻✹✖✬ ỵ ý tỵ t t ❁◗✺❖✱✣✵✖✳❚❑✘✬♦✹❂❑✣⑥✻◆❫➀✸✹❻✐✩❑✶✵✿✹◗▼❹❁◗❑➈❀★❑❜✳❚❀★❃❃ ✹ ❑❤➌❻✾✣✱✣✵◗❀★✼✯❁✿✷❅❀★❀➏❁❴t✣❸❙✷❅✵❻✷❅✹❻✷❅✹❂✵◗✱✣✺❖❀❛✼❅❀✖◆✘✳❚✷❅❁✻❲❙✵◗❀✔✱❏❃✣✳✶✹✿✵▲✷❅❑❤❑❤❃✴❦❤✳✶⑨❖✼❅❀✖✷❅✺✽✵✩✵❄❛✳✳✶❃❏✷❅❛◆✹❻❃✣✝ ❑❤✵✍✷❅✹❻✳✶❃❫✵✿✱✣❑❤❀❈✾✭❃➈✵✿✼❅✾✭✷❅❀★❲✚❁✖❦❏✬✸❀★●❻❁✸✱✣❑✶✷❅▼✒✹❂✷❅✳❚✵✿❀✔✼❅❘❤❲❙❑❤✹✸❁◗✷❅✵✿✷✯❃❫✱✣❲❝✵◗✱✣✱✴❀❉✳✶◆✣✹❻✳✶✵✿✵❖✱✭✳✶❀❛✹✿❀✔➌✸✵✖t❷❑❤✳✶❁◗❃❏✹✿✵❂◆❬✺✔✷❅✳✶✵✸✹✿✹❇❀➏✺★✳❚✺❖❑❤✼✯❀✔❲❬✹✻■✣➌✸✼❅❀★❀❖④✣✼❅✼③✷✯✵✩✳✶❄✚✹✻❑❚❸❬✞▼ ❘❜➭ ❁✿❑✶✉❸➌❻✹✖❂✬✸✝ ♥✒✾✭✔✵ t ✵✿✳✶✱✣■✣✷❅■✣✹❛❁◗❑➈✺❖❑❜✳❜❲❙✺✿✱❫■✣✾✣✼❅❀❖❃✴④✣✺❖✷❅❑❤✵✩❄❫❲❬❀★■❏❣❤❀★✳✶✵◗✼❅✷❅✾❏✵✿✷❅✳❚❣❤✵✿❀❤✷❅✬❑❤❃➫✵❇✳ ❤❀★✹❈✷✯❃✘✵◗❑ ựt ý ỵ t ýỵ t ✵◗✷❅✵✩✱✣✘❄ ❑✣✺❖◆❷➭ ❑❤t✴❲❬✵✿✱✣❡■✣❀✚✾✣✵❖◆✣✳✶✝ ✳✶✵✿✵❖✷❅✔❑❜✳❬t✘❃❏➌❻✹✿✳✶■❏✱✣✼❷✳❜❀★✺❖✺❖❁✿❑❤❀✚❀ ❲❬✷❅s✹✻■✣✷✯✼❅■❏✹✸❀❖✳❚④✣✹✿❁✿❑❜✷❅✵✩✵✿❲❙❄➈✷❅✵◗t❤❀✻✷✯❑❜✳✚✺❖❃✣❑❜✺✽❀✖❀★❃✣◆ ✼❅✹✿✼❨✐✩✵❖✷❅❦❏✳✶❃➈❃✘✳❚✵◗❑⑧✹✿✵✻❀✖◆✘✺❖◆❀✔❀★✼✯■✴✳❚❅✼❅✹✍❀★❘❤❃❏➌❻❑❤◆❺❁◗✷❅✷✯✷❅✵✿❃✭✵✿✱➷✱✣❘❛❲❝✳✚❑❜❃❙✹◗✷❅✹✻✷❥✵✿◆❺✱✭◆✘❀✚❀❂❀✔✼✯❣❤❀✔❃✘❀★❃✣✾✣✼❅❑❤❘❤❲✚■✴✵◗✱❦✴❀✖◆❬❀★❀✖❁✒❵❜▼✥❑❚❑❤✾❏▼③❁❻✳✶✺❖✼♦❲❙❀★✵✿✼❅❀✔❑✼❅✹✖❲❙t✣❑❤✳❚❁◗❃❏❄❜◆ ✐ ✬ ✵✿➇✢❑❙❣❤❀★✵◗❁◗✱✣❄❙❀❛✺❖✺❖❀★✼❅✼❅❑❜✼❷✹✿✱❏❀★✹◗✳❚✵❂✹❩✷❅✵✩❃✘➌✸✵✿❀✔❑❉❘❤✼❳❀★✳❴❁❴❄❤✬❻❀★❁◗●❻✹❩✱✣✹◗❀✚✾✣❁✿✳✶❁◗✼❅❑❤❘❤✾✣❑❜❃✴❁✿✷❅◆✘✵✿✷❅✱✣❃✣❲➔❘❛✷❅✺❖✵❴❑❤t❤✾✣✵◗❃✘✱✣✵◗❀ ✹✻❏❑❤❁◗✾✭✹✿✵✸✵✿✼❅✷❅✷❅✹❩❀★❁✿❑❜✹▲❃✣❑❤❀❂❃ ✺❖❀✔✳✚✼✯❷✺❖✵◗❀✔✱✣✼✯➐✷❳✐✩✺ ❦✘❄❤✐✿✳❚✺❖❃❏❀★◆✚✼❅✼❽✵◗❁❇✱✣✳✶❀✻✵◗✱✣✹◗❀★❀✖❁✍✺❖❑❤✵✿❃✴✱✴◆❙✳✶❃✷❅✹❩❑❜❋ ❦❤⑨❖❀✖❸✚✺❖✵➣✺❖✐✉❀★❦✘✼❅❄❜✼❅✹❩✐✉❑❜✵◗❦❤✱✣⑨❖✷❳❀✖✺ ✺❖✚✵✍❁✿❦❏❑❤✾✭✳❚✹✿❃❏✷❅◆✘✹✖✬s❀✖◆✈●❻✾✣✱✣❡ ■ ❀ ✔➻ ●✸■ ✽■ ➡❑ ❆❏❣❖ ➼❋✤❇ ❈❇❊❏◆▼ ❚❖ ✍✔ ✏✎ ➼ ✿➼ ✑✌ ➡✹ ✲✻❈➢ ✴☎➫✎➜➼✲✻ ➾➮ ➑ ❂➼ ❂☎ ✒☎ ➡✹✪✽ ➼ ✻ ñ✼✹ ➯✌ ➑ ✏✎ ✝➾➽ ✶◗❄➛Õ▲✳❭☎❙◗✼✚✧❙☞✆❩✫☎❙✧ ❆➚✚◗☛☎ ✝ ➪ Ó◗☛★ ❄✧✚✩❩✽❁ ✁➀☛✧ ✯✧✚é✯❩✙✧✩★✫❁ ❬✂✆ ❀✳✵☎✚◗❄✚✧✚☞☛❩✫☎❙✧ ✁★ ✥☞✲✧➛❳❙◗☛❩✽❁ ✌ ✼❵ ✓✎ ✺✌ ❆✎ ✍✌ ✺➲ ✿⑤ ➧ ❴Ð❂Ñ ♦⑩t⑧ ⑩ ✏⑧ ➃✹ ➃✹ ✈✻ ✲✻ ➃✹ ✈✻ ✚✌ ✚☎ ✼☎ ❨➁ ✞✌ ✜❩✫★ ✝ ❥Ó✧✚☞❪◗✆❩✽❁➜ ❬✧✩☎ ✜❄ ✍✌ ✚✌ ❁❄ ➝ ❯➁ ➡✹✶➁◆➞ ➝ ✻ ➝ ❆❄ ✑✌ ✼➶➘➹✈❳❙◗☛❩✽❁✿ ❬✧✯☎ ➡✹✄➁♦➞ ➝ ✻ ➸✹ ✐➞ ✚✌ ➷ ➝ ❪✛ ✰➁ ✲Û❣✻ ➷ ✁★✵☞✲✧➛✱✼❳❙✬❙✂ ❄✧❙☞❦✂☛ ❹✪✲◗☛☎ ✶❁❬❘ ➝ ❈✎ ➺ ➝ ➺ Ø ➡✹ ✝ ✆✎ ✟✞ ✫✔ ✝ ❙✧✯ ✁ ❳❙✬❙✂ ❄✧❙☞✒✂☛ ✪✆◗✆☎ ✶❁✥❘ ➴ ✻ ✆✎ ★✵✧ ✚❁✏✧✚☞✼❳✏ ✄◗✼◗✚✳❼✂✆ ❹✪✲◗☛☎ ✶❁✥❘ ✓✎ ❃➴ ✟✞ ✍✔ ❝③ ✓✎ ➴ ➸✹➜ò Ø ✰✻ ❈✌ ❀ò ✓✎ ❾➬ ✓✎ ❪➷ ➴ ❏ www.elsolucionario.net ❝✎ ❊❤❋ ➛ ❻➞✒➟ ➪➛ ③➠➎➞✒➟ ❂➝ ♦➠ ✿➠ ✳✶✺❖❀★✼❅❘❤✼❅✼③❑❜✳❚❁✿✷❅❃❏✵✿✱✣◆❫❲➔❦✴❑❤✺❖✵✿❑❤✱❫✾✣❃✘✼❳✳❴✵◗❄❤✹❂❀✔❃✘❁✿✹❻✾✣❲✚✵✿❑❜❦✴❘❤❀★❀★❁❻✵◗✱✣❑❚❀★▼❩❁❴✷❅✬✻✵✿❀★➁✘❲❬❑❤❲❬✹❻❀✻✷✯❃❫✷❅✵✿✵◗❀✔✱✣❲❙❀ ✹❻✺✽✾✣✷❅❃❫❁✿❁◗✵✿❀★✱✣❃✘❀❛✵❼✺✽✺✽✾✣❀★✼❅❁✿✼③❁◗❀★✷❅❃✘✵◗✹✿✵❂❀★✼➐✺❖▼❇❀★t✴✼❅✼✒✷❅❃❫✺★✳❚✵✿❃⑧✱✣❀✚❦✴✺❖❀❉❀★✼❅❑❜✼✒✾✣✳✶✵✿❃❏✼❅✷❅◆❀★❁✿✹▲✵✿✱✣❑❤❀ ❃✣✴✼❅❄✚❁✿✹✿✷➐✵✍▼✒✵✿✼❳✳❴✱✣❄❤❀❈❀✔❁❻✵✿❑❤✵✿✵❖❑❤✳✶❘❜✼❽❀★❃➈✵✿✱✭✾✭❀★❲✚❁✖❦❏t✦❀★✳❚❁✸❃❏❑✶◆❫▼✒✷❅✷❅❃✵✿❀✔✵◗❲❙✱✣❀✹ ✷✯❃ ✐✩❃✣✵✿❀★✱✣✷❅❀✚❘❜✱➈✺❖❦✴❀★❑❤✼❅✼❩❁◗✱✣✳❚❑✘❃❏❑✣◆❫◆❉✵✿❑❚✱✭▼➎❀ ✳❚❏❃✚❁◗✹✿❑❤✵❉✾✣✵◗✼❳✳❴✼✯✷❅❄❜❀★❀★❁❴❁✻✬✦❢✥✷❅✹✻▼✦✵◗✼❅✱✣❀★✹◗✷❅✹❉✹❩✺❖✵✿❑❜✱✴❃❏✳✶◆✘❃✷❅✵✿❑❜✷❅❁❂❑❤❃✚❀❴❵❤◆✘✾✴❑✘✳✶❀★✼✢✹✒✵✿❃✭❑❬❑❤✵✒✵✿✱✣✱✣❀✚❑❜✼❳❲❫◆❷t✶✳❴✵✿④✣✱✭✷❅❀★❲❛❃⑧✾✣✳❚❲✡✼✯✘❃✘✵◗✱✣✾✣❀✻❲✚✷❅❦✴✵✿❀✔❀★❲❙❯❁ ✗✆✹✢✷❅❃❛❑❚✵◗▼❩✱✣❑❤❀❂✾✭✺❖✵✿❀✔✼❅✷❅✼✯❀★✴❁✿✺★✹✍✳✶❃❬✵✿✱✴❦❏✳✶❀❻✵❉❁◗✺★❀★✳✶❲❙❃ ❑✶❦❏❣❜❀➏❀✖◆✍✷❅❃ ▼✥❁✿✵◗❑❤✱✣❲ ❀ ▼✏✼✯❀✔✾✣✹✿❁✿✹✍✵◗✱✣✵✿❀★✱❏❁▲✳❚❃❫✷✯❃✘❣❜❑❤❀★❁✻✹✿❀❴✵◗✷✯❵❤❘✘✾✴✳✶✳✶✵◗✼✢✷✯❑❜✵✿❃⑧❑➏✳❚✗✡✹❻✵✿t✴✱✣✵✿❀★✱✭❄❫❀★❃ ✺★✳✶✳✶❃✭✼❅✼❽❃✣❑❤✷✯✵◗✵❻❀★❲❙❦✴❀❉✹❻❑❤✷❅❃✾✭✵✿✳❙✼❅✷❅❀★✺✽❁✿❀★✹❴✼❅✬✢✼ ❢✥✳❚▼ ❁✿❀❉✵◗✱✣❑❜❀✍✾✣✵✿✵✿❑❜✼❅✷❅✵❇❀★✳✶❁◗✼❷✹ ❷❃✘✳✶✾✣❃❏❲✚◆ ❦✴✷❨❀★▼✒❁❻✷❅❑❚✵❻▼③✷❅✹✻✵✿✱✭❲❬❀❉❑❤✷❅✵✿❁✿❀★❀✍❲❬✵◗✱❏✹❩✳✶✷❅➳❃❃❙✗✡✵◗✱✣❀❛t✴✵✿✺❖✱✣❀✔✼✯❀✔✢❃✳✶❑❤❃❏❃✣◆✈✼❅❄❬❦❏❑❜✹✿✵✿❑❤✱❫❲❬✼❳❀✍✳❴❄❤❑✶❀★▼❩❁◗✹❻✵◗✱✣✷❅❀✹ ✷✯❑❤✵◗❦❤❀★⑨❖❲❙❀✖✺✽✹❻✵❉✷❅❃✷❅❃✵◗✱✣✵✿✱✣❀❛❀✚✺❖❀✔✺❖❀★✼✯✒✼❅✼✒✳❚❑❜❁✿❀➏❦❤⑨❖❑❤❀✖✾✣✺❖✵◗✵◗✹▲✼✯✷❅❀★▼✏❁◗❁✿✹✖❑❜✬❻❲❾●✢✵✿❑❫✱✣❀✚◆✘❀★✹◗✵✿❀✖❀❴✺❖✺❖❑❤✵✍❃✴✵✿◆✱✣❀★✼❳✹◗✳❴❀✚❄❤❀✔❑❤❁❼✾✣✳❚✵◗✼❅❁✿✷✯❀✚❀✔❁✿✺◗✹✻✱✣❑❜❀✖✺❦❤❤⑨❖❀✖❀✖◆✺❖✵➣✐✉▼✥❦✘❑❤❄❜❁✻✐✩❦✴❑❤❀★❦❤✷❅⑨❖❃✣❀✖❘ ✺✽✵❂■✭✐✉❃✭❁✿❑✣❀★✷❅✺❖❘❤❀★✱✘✹◗✹✿❦❏✷❅❑❜❃✣❁✿❘❫✹❴✬❉✷❅✹✻➊✻✾✣❃✭✹◗❀✖✼✯❄❫◆ ✵◗✳❚✱✣❘➈❑❤✳❚✹◗✷✯❀✚❃❑❤✳❚❦❤❃❏⑨❖◆❬❀✖✺✽▼✏✵✿❑❜✹✍❁❻✷❅❀★❃ ❣❤❀★✵◗✱✣❁◗❄ ❀ ✺❖❀★✼❅✼✦✱❏✳❴❣✘✷❅❃✣❘➏✼❅❀★✹✿✹❻✵◗✱❏✳✶❃➳✗ ❃✣❀★✷❅❘❤✱✘❦✴❑❤❁✿✹❻✷❅❃❬❦❏❑❜✵✿✱ ❏❁✿✹◗✵❂✳❚❃❏◆❬✹✿❀✖✺❖❑❜❃❏◆❫✼❳✳❴❄❤❀✔❁✿✹❻✳✶❁✿❀➏✺❖❑❤❃✣✹◗✷❳◆✘❀★❁✿❀❴◆❫✵✿❑✚❦✴❀✍❑❤✾✣✵◗✼✯✷❅❀★❁◗✹✖✬ ⑥❧◆✣✳✶✵❖❣❤✳✶✳✶✹✿❁◗❀✔✷❳✵❛✳✶✵✿✳✶✷❅❑❜❁◗❃⑧❀❛❁◗✵◗❀✖❑❙❵❜✵◗✾✣✱✣✷❅❁✿❀ ❀✖◆❷✳❚✼❅✬➏❘❤❑❤❢✩✵❉❁◗✷❅✵✿➌✸✱✣❑❤❲❝❁ ✘✷❅✹✻✹✍▼✥✼❅❑❤✷❅❃✣❁✻❀✖✼❳✳✶✳❚❁❻❁✿❘❤➌❻❀❜✷❅t✦✵◗◆✘✱✷❅✹ ❁✿❜❀★✐✩✹◗❁✿■❏❀★❀❴✹◗✺❖✷❥◆❺✵❛❀★✵◗❃✘✷❑ ✵❛✝➂◆✣✳✶✵❖✳❚✳✶❃❏✹◗◆❫❀★✵✿❘❜✹❴✾❏✬❛✳✶●❻❁❖✳✶✱✭❃✘❀❙✵✿❀★✺❖❀✔❀★✹❂✼❅✼➐✐✉✵◗❦❏✱❏✳❚✳✶✹✿✵▲❀✖◆➫❃✣❑❙✳✶❲❬✼❅❘❜❑❤❑❤❁✿❁◗✷❅❀❉✵◗✱✣✵✿❲✱❏✳❚❃ ◆✘❑✘❊✚❀★✹✍■✴✳✶❃✣✹✿❑❤✹◗✵✍❀★✹✍✹❖✺★❑✶✳✶❣❤✼❅❀★❀✚❁✍➌✸✵◗✱✣❀★✼❅❀ ✼ ▼✏❑❤❁❻✱✣✷❅❘❜✱⑧◆✘✷❅❲❙❀✔❃✣✹✿✷❅❑❤❃✭✹✖✬ ◆✘✷❅✹❇✺✽❱▲❑✶❣❤✷❅✹✿❀★✵❖❁◗✳✶❀✖❃❏◆❫✺❖❦✘❀✽✐✉❄❙❦❏✳❚✵◗✱✣✹✿❀✖❀❉◆ ✳✶❑❤✼❅❘❤✾✭❑❜✵✿❁✿✼❅✷❅✷❅✵✿❀★✱✣❁✍❲✡❁✿❀✖✷❅❵❜✹✻✾✣✳✷❅❁✿❀✔✿✹❉❁◗❀✖✾✣✳✶✹✿✼ ❀✔➏❁❉❑❤✵✿✾✣❑❬✵◗✼❅✹✿✷✯❀★❀✔✵❉❁✖✬✒❦✴❿❷❑❤❑✘✵◗✱❑ ➈➫✷❅❃✣✳✶❘❈❃❏▼✏◆ ❑❜❁❩✵◗✱✣■❏❀❉✳✶❁❖✹✿✳✶✾✭❲❬✷✯✵❖❀★✳✶✵✿❦✣❀★✼❅❁◗❀▲✹▲■❏▼✏❑❤✳✶❁▲❁❖✳✶✵✿❲❙❀★✹◗❀✔✵✿✵✿✷❅❀★❃✣❁◗❘ ✹✻✳❚✺★✳✶❃❏❃❫◆✷❅✺◗❃✘✱✣❣❤❀✖❑❤✺ ✼❅✘❣❜✷❅❀✻❃✣❘❫❲⑧✵✿✳❚✱❏❃✘✳❚❄❛✵❂✷❅✵✿❀✔❀✔❣❤❁❇❀★✳✶❁◗✵◗❄ ✷❅❑❤❑❜❃✣✾✣✹❴✵✿✬ ✼❅✷❅❀★❁ é❻ê ❻ê ✲÷ ✻đ◗ï❽ð❺đ ✒ú ✻ï✢ó✘÷ ✒ưsð✣õ✿đ✿÷❽ø ▲÷❷ð✣÷✦ơ✴ð✣đ ♦ú ◆✘✳✶✏⑥▲✼❅✷❅❘❜✹✿❁✿✵❖❑❤❃✣✳✶❁✿✷❅❃❏✷❅❃✣✵◗✺✽✱✣❘✴❀❖❲✡t✒✐✉❦✴⑥▲✳✶▼✏❑❜❘❤✹✿❀❴❁✻❁❇◆➏✳❴◆✘➌❻❲❙❀★✳✶❣✘❀★✼❻✷❳✵◗✳✶✳✶✱✣✵✿❃✴✷❅❑✣❑❜◆➅◆✘❃ ✹✒➀✻✥✳✶❑❤✳❚✹✢✾✣❘❤✷❅✵◗✱❏✵③✼❅✳❴✷✯◆✘❀✔❣❤❑✘❁ ✳❚❀★❻❃ị✹✒◆✘❃✭❀★✮❴❑❤✵◗①❤❀✖✵✦①❜✺❖♠❁◗✵◗❀✖✍✷✯❵❜❑❜✷❅✾✣❃ ❃✘✷❅✵✿❁✿✾✭❁◗❀✻✹✿❑❺✷❅◆✘◆❺❃✣❀✾❏❘✚❏✺❖❃✣✷❅❀✖❲❙◆✷❅❃✣■✣❘❉✳ ✼❅✷❳◆✘✺❖❃✣✷❅✷❅✹✿❑❤✵✢✵❖✵◗❁✿✳✶✷✯❀✖❑❜❃❏◆❺❃➅✺❖✾✣❀✸❃❏❑❚❲❙▼✻◆✣✳❚❀❴❑❤❃❏✳✶✾✣✹✿✺❖✵◗✾✭❄✼✯✷❅❁✿❀★❀✸❑❚❁◗▼ ✹❛❦❏✵◗❀★✵◗✱✣✵✩✱❏➌✸❀❛✳✶❀★✵✚◆✣❀★✳❚❃❙✷❅✵❇✹✚✳✭◆✭◆✘✬✒✳✶✷ ✵❇❢✩✳▲✵❂❀✔❀★❁✿◆❺❀★✼❅❀ ❀★❃✘❏❲❬✵➏❃✣❀★❀★▼✏❃✘❁◗✹▲❑❤✵✿✹✿✹❴❲➑❀✖✬❷❵❜❢✩❦❏✾✣✵✢❑❜❀✔✷✯❃➈❃✘✵✿✱✵◗✵◗✷❳❁✿✳✶❑✣✹✿✼✢✵❖◆✘✳✶❀❖✾❏✵◗④❏✺❖✷✯✺❖✹◗❀✔❀★✵✿✹❩✷❳■✣✺★✳▲✵◗✳❚✷❅✼✯✼❹❑❤✷❅❃✣❃ ✳❚❀❴❃❏✳❚✳✶◆ ✹❁ ✳✶❃❫❀★●❻✼❅❀★✱✣❲❬❀❻❀★■✭❃✘❁✿✵❩❑✣✺❖❑❜❀★❦✣✹◗✹✿✹❻❀✔❑✶❁✿❣❤▼③❀❴◆✘◆❫❀★❣✘✷❅❃ ✷❳✳✶✵◗✳❈✷❅❑❤✹✿❃✚❀✔❁✿✷❅◆✘❀★❀★✹✍✵✿❀❴❑✶✺❖▼✢✵✿✷❅✹✿❑❤✷❅❲❙❃✷❅◆✘✼❳✳✶❀✔❁✒✹❇✺❖◆✣❁◗✳❚✷✯❦✴✵❇❀✖✳✚◆❬✳✶✹✿❃✴✷❅◆⑧❲✚◆❺✾✣✷✯✼❳✹◗✳❚✵✿✵✿✾✣❀★❁◗✹✢❦✣✵✿✷❅✱✭❃✣❀✻❘➏➌❻✵✿✱✣✳❴✷❅❄❉✹❻■❏✹✿❀✔❀✔❁✿❑❤✷❅■✣❀★✼❅✹✖❀❂✬ ✺✔✳✶❃❙◆✘✷❅✹✿✵◗✷❅❃✣❘❤✾✣✷❅✹◗✱✚✾✣❃✘✾✣✹✿✾❏✳❚✼❏❑❜❦❤⑨❖❀✖✺❖✵❻✳❴▼✥✵✿❀★❁✸✹✿❀★❀✔✷✯❃✭❘ ✹✿➌❻✳❬❀✔✱✣✵✖✹✿t❏❀★❑❜❁◗✹✿◆❺✷❅❀❙✷✯❀★✹◗✹❛❁◗✹✿❀★✷❅❑❚❲❙❲❙▼❹✷❅❑✶✹◗✼❳❣❤✳✶✷❅❲❙❁◗✳❚✷❅✼✢✵✩✷❅✼❳❄✍❁✿✳✶❀★❁❻▼✏✹◗✾✣✾✣❑❤❃❏✼❅❦❤✵✿✺✽⑨✽✹➏✵✿❀✖✷❅❑❤✺❖✷✯❃➷✵✿❃✦✹➏t✣✵◗✳✶✺✔✱✣❃❏✳✶❀✚❁❇◆➫◆❺❘❤✷✯❁◗✼❅❃✴❀✖❀✖✳❚✳✶✳✶❁✿✼❅✵◗✷❅❃✣❀★✵✩✹✿✷❅❄➏❃✣✵✚❘❬▼✏❁◗✾✣❀✖✵✿❃❏◆✘✱✣✺❖✾❏❀★✵◗✷❅✺✽✷❅❁❉❑❤✵✿❃✦✷❅❲❫❑❤t✘❃ù✳✶✹◗❲❙✷❅❑✶❃ ▼❻❑✘✺◗❑❤✵✿✱❏✱✣✵◗✳❚✱✣❀❫❁❇✷❅❃✣✳❤◆✘✺✽❘▲✷❅✵✿✹✿▼✉❀★✹✿✳❤✷❅❁◗❲❬✺❖✷✯✹◗✵◗✵✿✷✯❑❤✼❳✷❳❁❴✳❚✺❖✬✢✹❴❁✿✷❅✬❙⑥✻✵✩❄❙●❻❃❫❑❚✱✣❀❖▼❹❀❙④❏✵◗✺❖✳❚✱✣❀★✾✣❀❙■✣✵✿✵◗✱✭❁◗✷❅❑❤❀★❑❤✹✿❃❁✿✷❳✹❈◆✘✹◗✾❏❀★✷✯❃✘✳❚✵❻✵◗✼❩✷❅❁✿✹✻❑✣✹◗❀★◆✘◆✘✵✖✾❏❀ t✢❏✺❖➌❻❀✚❃✣❀❴✱✭✹◗◆✷❥✾❏✺◗✺◗✱➷✳✶✱➷✹❻✷❅✹❉✵✿✵◗❀★✱✣❀✖❁◗❀✍❵❜❲❙✾✣✹✿✹❉✾✣✷❅❣❤❦✣✳✶✳❚✹◗✹✍✼✯❀★❀✔✵✻❀❖❃➈④❏❑❚✵❈✺❖▼③❀✔✵✿✷❅■✣❑✵✿✵✿❀✔✵◗✷❅❲❙❑❤✱✣❃ ❀✹ ▼✏❘❤✳✶✾✣❁◗❁◗❃✴❀✖❀❉✳✶✺❖◆✘✵◗✵✿❀★✷❅✷❅✹✿❑❤✹✿✹✿✵❈❃✚✷❅❲❬❁✿✵◗❀✖✱❏✷✯◆✘✼❳✳✶✳❚✾✴✵♦❁❩✺❖❁✿✵✿✳✶❀★✷❅❃❏✵◗❑❤✾✣◆❬❃➷❁✿❃✣◆✘✷❅❃✧❑✘✹❻❀★✳▲✼▲✹✻✼❅❑❜❃✭❑✶✼✯➌➅❑❤❲❬✵✸❣❤❑❤❁✿✳✶❘❜❀✖✼❅❵❜❑❤✾✣❁✿✾✣❀✸❑✶✷❅❁✿❣❙✷➐❀➏▼ ✺✽✵◗✳❉❑❤✱✣❲❙❀✻❲❬■✭❀✔❀★✼✯✼✯✵✿❀✔❀✽❁◗❲❙④❺✷❥✺✔✷❅❀★✵✩✳✶❄✈❃✘✼✦✵✿◆✘▼✏✹✢❑❤✷❅❑❚✹✿❁✍✵❖▼ ✳✶✵✿✵◗✱✭❃❏✱✣❀✺✽❀✻❀❂✳❚✹◗❦✴❀★❲❙✵❩❀★❑❤✵✩✳✶➌✸✾✭❁◗❃➈❀✻❀★❀★✵❻✹◗❃✷✯❑❚❲❬▼❹✵◗✱✣✷❅◆✣✼❥❀❉✳❚✳❚❁❷✵❇✷❅✵✿✳❫✵✿❀✔❑✍❲❙◆✘❀✖✷❅✹✖✹❇✳❜✺★✬✢✺✿✳❚✱❬❶❻❁❇◆✘✳✶❑❤❀❴❁❖✵◗◆✘✱✣◆❷✷❅❀★✬❛❃❏❁❩✳✶❱▲✳❚✼❅✷❅❃❏✷❅✵✩✹✿◆✚❄❈✹◗✷✯❲❬✳▲▼✏✾✣✱✣✷❅❃❏✼❥✷❅✳❚✺❖❘❤✵◗❁✿✱✣✷❅✷❅❑❤✵✩❀★❄➏❃⑧❁♦❣❤▼✏✺✔✾✣✳✶✳✶❃✴✼❅❃❫✾✣✺❖❀✸✵✿❦❏✷❅✷❨❑❤❀❉▼❷❃➫✳❚✵✿✱✭❃➈✺★❀❻❄✈✳✶❃➫❀★▼✏✼❅✾✣❀★❦❏❃❏❲❙❀❙✺✽❀★✵✿✳❚✷❅❃✘❃✘❑❤✵◗❃❄ ✹ ➌❻✹✿✾✭✱✣❦✣❑❜✹✿✹✿❀★❀✻✵➏❣❤❑✶✳❚▼✸✼❅✾✣✵✿✱✣❀❻❀✚✷❅✹❩❘❜❘❜✷✯❣❜❁✿❀✖❀★✳❚❃➫✵✿❀★✹✿❁✸❀★✵❛▼✏❑❜✳❚❁❩❃❏✳✍◆ ✹◗✷✯✾✣❃✴❦✣◆✘✹✿✷❳❀✔✺★✵❻✳✶✵◗❑✶❀★▼✦✹✍✵✿✱✣✱✭❑✶❀❂➌❧❘❜✷❅❲✚❣❤❀★✾❏❃✚✺◗✱✹◗❀★✵❩✵◗✱✣➌❻❀❙✷❅✵◗◆✘✱⑧✷❅✹✿✳✍✹◗✷❅✱✣❲❙✷❅❘❜✷❅✼❳✱✣✳✶❀★❁✿❁❻✷❅✵✩❄❙✺★✳✶✺★❁❖✳❚◆✘❃ ✷❅❃❏❦✴✳✶✼❅❀✚✷❅✵✩❁✿❄➈❀❴✬➎◆✘●❻✾❏✱✣✺❖❀✖❀✻◆ ✹◗❲❙❦✘❄❑✘❑❤❁✿✵◗❀★✱✣❲❬✷❅❃✣❑✶❘▲❣✘✷✯▼✉❃✭✳❤❘✚✺❖✵◗✵✿❑❤✱✣❁✒❀✚✷❅✹❻✹◗✾✣◆✘❦✣❀ ❏✹✿❀✔❃✭✵✍❀✖◆➏▼✏❁✿❑❜▼✏❑❜❲ ❁❹✳❚✵◗❃✘✱✣❄❀ ✹✿❢✩❃✣❀✔✵✖✹◗✬✵✿❀✖❽✳❜✷❅◆➷❃❏◆✘❑✶✷❅▼ ❃✣✴❘➏❃❏✳✶◆✘❃❙✷❅❃✣❀✽❘④✭✺✽◆✘❀★✷❅■✣✹✿✵✿✹◗✷❅✷✯❑❜❲❬❃❙✷❅✼❥✹✿✳❚❀✔❁✿✵✻✷❅✵✩✺★❄❙✳✶❃❬❑❚▼✻❦❏✵✿❀❉✱✣r✻❀❙⑩③✺✽✾✣✐✉✱❏❁✿❁◗✳❚❀★❁❇❃✘◆❬✵✚✳✶✹✿❃❏✾✣◆✈❦✣✹◗✵✿❀★✱✣✵✚✷❅✹✸✳✶❲❙❃❏◆➫❑❤✵◗✵◗✷❅❣❤✱✣✳✶❀⑧✵✿❀❴✺❖◆❉❑❜❲❙✵◗✱✣■✣❀❂✼❅❀★◆✘❲❬❀ ❏❀★❃✘❃✣✵❇✷❅✵✿✳❚✷❅❁✿❑❤❄❫❃❬✹✿❑✶❀★▼✦✵➏✵◗✵✿✱✣✱✭❀✻❀❙✹◗❀✖✳✶❵❜✼❅❘❤✾✣❑❜❀★❁✿❃✘✷❅✵✿✵✿✷❳✱✣✳✶❲ ✼❷❀✽✹✿④✭❀★✺✽✼❅❀★❀✖■✣✺✽✵✿✵✿✹✚✷❅❑❜❃⑧✳❫■✭✹✿❀✖❁✿❵❜❑❤✾✣❦✭❀✔✼✯❀✔❃❏❲ ✺❖❀ ✬ ❑✶✷❅✵✿▼✸❀★❁❖✹✿✳✶✾✣✵◗❦✣✷✯❑❜✹◗❀★❃✣✵✿✹❉✹❈➌❻▼✏❁◗✷❅❑❤✵✿❲➔✱➫❁❇✵✿✳❚✱✣❃❏❀✚◆✘✹◗❑❜❀★❲ ✵❉✳✶❑❤❃❏❁❖◆✘◆ ❀★▼✏❁❉❑❤❁▲❑❚▼❹❀★❣❤✵◗✱✣❀✔❁✿❀❙❄✹◗✾✣✹◗✾✣❦✣❦✣✹◗❀★✹✿❀✔✵✿✹➏✵❉✷❅✷❅✵❃ ❏✳❬❃❏✹✿◆❺❀❴✹❂❵❤✾✭✵◗✱✣❀★❀❙❃❏✺❖◆✘❀✷❅✹✿✳✶✹◗❁◗✷❅❲❙❀✚✷❅■❏✼❳✳✶❀✔❁✩❁✿▼✏✷❅✵✩❑❜❄✚❁✿❲❙◆✘✷❀❴◆❀✔❁✿✵◗❀★❑ ❃❏✺✽✳✶❀✚✼❅✼❅❀★➌❻❣✘✷✯✷❳✵◗✳✶✱ ✵✿❀❈✵◗✱✣■❏❀➏❑❜✹✿■✣✹✿✷❅❁✿❦✣❀✖✼❅✺✽❀✚❀✖◆✘✷❅✷❅❲❙❃✣❘■✴✳❤✹◗✺❖✾✣✵▲❦✣❑✶✹✿▼❻❀✔✵✖✵✿✬❛✱✣❀✚➁❺❀★✷❅❣❤❃✣❀★■✣❁❖✾✭✳✶✵ ✼ ❑❤●❻❁❖✱✣◆✘❀❬❀★❁➏❲⑧❑❤✳❴❃➫④✣✷❅✵✿❲➏✱✣❀❬✾✣❲➉❁✿❀★✹◗◆✘✾✣✷❅✼❅✹✿✵✿✹◗✹❴✷❅❲❙✬ ✷❅✭✼❳✳✶❑❤❁✿❁❉✷❅✵✩❀✔❄❫❣❤❀★✳✶❁◗❲❙❄ ❑❜✷❅❃✣✵✿❀✔❘⑧❁❇✳✶✳❚✵◗✼❅✷❅✼✒❑❤✷❅❃➫✵✿❀★✵✿❁❖✱✣✳✶❀❬✵✿✷❅❑❜❀★❃✣✼❅❀★✹❉❲❙✹❇❀★✺✔❃✘✳✶✵✍✼❅❀✖➌❻◆➫✷❅❦✘✵✿✱➫❄ ✵✿✵◗✱✣✱✣❀❬❀❙❲⑧✺★✳❚✳ ❁❇④❺◆✘✷❅✷❅❲❙❃❏✳❚✳❚✼✯✼❷✷❅✵✩❣❤❄❫✳✶▼✥✼❅✾✣✾✣❀➏❃❏✺❖❑✶✵◗▼✻✷✯❑❜◆✘❃ ✷❅✹✿❘❜✹✿✷❅✷❅❲❬❣❤❀★✷✯✹❉✼❳✳❚❀✽❁✿④✭✷❅✵✩✺✽❄✚❀★■✣▼✏✵✿✾✭✷❅❃❏❑❜✺❖❃ ✵✿✷❅✏❑❜❑❜❃ ✾✣✵✿✷❅✹❉✼❅❄✘✹◗✷❅❃✣❀★✼❅❘ ❀✖▲✺❖✵✿✹◗❀❴❀★◆❷✵✖✬✬ ●❻✾✣✹◗✱✣❀✖❀✚◆❷t❏■❏✳❚✳❚❃❏■❏◆❬❀✔❁❉✵✿✱✣❘❤❀✍✷❅❣❤✵❖❀✔✳✶✹❼✹ ❬✳❚❃ ❑✶▼✢❀✽④✭✵✿✱✣✳❚❲❙❀▲▼✏■✣✾✣✼❅❃✴❀➏✺❖✹✿✵✿✱✣✷❅❑❤❑✶❃➌❻✷❅◆✘❃✣❀ ❘❬❏❃✣✵✿✱❏✷❅✵✿✳❚✷❅❑❤✵❉❃❬✵✿✱✭✷❅✹✻❀✚✺❖❀ ❑❤❲❬❀❴✺❖■✣✵✿✼❅✷❅✷❥❣❤✺✔❀✔✳✶❃✣✵✿❀❴❀★✹✿◆➏✹✚❦➈❑❚❄✚▼❩✵◗✵✿✱✣✱✭❀✍❀❙▼✉✳✶✳❜✼❅✺❖❘❤✵✸❑❜✵✿❁✿✱❏✷❅✵✿✳❚✱✣✵❻❲ ✵✿✱✣◆❺❀✍❀★❃❏■❏✳❚❀✔❃❏✵✿✾✣◆✘❁◗✹➏❀❉❑❤❑✶❃➫▼✢❀❖✵✿④❏✱✣✺❖❀❙❀★■✣◆✘✵◗✷❅✹◗✷✯❑❜✹✿✷❅❃❫❲❙✷✯✷❅✹❻✼❳✳✶❃✭❁◗❑❤✷✯✵✩✵ ❄✈➈▼✏❃✭✾✣❑✶❃❏➌❻✺✽✵✿❃⑧✷❅❑❤✷❅❃❃ ✹✿■✣✳❤❑❜◆❺❁◗❲❙❑✶❣❤❣➈✳✶❀✍✷❳❃❏◆✘❁✿✺❖❀❴❀❴❀❜◆❫✳✶✬✢✼✢✵✿●❻✼❅✱❏✷❨✱✣▼✥✳❚❀❂❀✍✵❻◆✣❑❤✵✿✱✣✳❚■✣✵❇❀➏✵◗✳✶✷✯❑❜❃✘❦✴❃❙✾✣✳✶❲✚✹✿❑❚❀✔▼③✹✖❦✴✬❻✼❅❀★❑✘❁❩●❻❑ ❑❚✘✱✣▼✒✷❅❀➏❃✣✷✯✵◗❘✍✳✶❀★✼❅▼✏❁❇❘❤❑❜✳❚❑❜❁✻✵✿❁✿✷❅✷❅✳❉❑❤✵✿❃✭✱✣✾✣✹✻❲ ❃✭✷❅✷✯✹❻❣❜✱❏❀★❃✣✳✶❁✿✹▲❑❤✹❖✵▲✳✶✼✯✷❅✼✦❣❤❃✣◆✘❀★❀❴✷❅❁◗✳✶✹◗❄❫❁✻✹✿✷❅❦✣✺❖❲❙❑❜✷❅❘❙✷❅❲❙✼❳✳✶✳✶■✣❁◗❃❏✼❅✷✯❀❖✵✩◆❫❄❼④✣✷❅◆✘▼✏✵✩✾✣✷❅➏❄ ✹✿❃❏✹◗➭ ✷❅✺❖❲❙✵◗➓✷❅✝❑❤✷❅✼❳❃❙✳✶★❁✿t✣➌❻✷❅✵✩➌❻✳✶❄❈✹❻✱✭▼✏❀★✾✣❁◗❁✿❀✏❃❏✚❀⑨❖✺✽❀✖✝✵✿✺✽✷❅✵✿❑❤❀✖❃❫✷✯◆❫✹▲✷❅❦✘✵✿✹❻✱✣❄❬✹✿❀❈✾❏✵✿❃➈✱✣✺◗✱➫✾✭❀❉❲✚✳✶✵✿✱❏✾✭❦❏✳❚✵✿❀★✱✣✵✸❁❻❑❜▼✏❑❚❁✿❑❤▼✒✹✻❁❻✷✯✳❴✵◗✵◗▼✥✱✣❀★✵✿❲❙❀➏❀★❁❻✹❻❃✣➌✸❀❖✷❅❃❫④✣❑❤✵✻❁ ✵✿➈✱✭✹◗✷❅✾✣❀❉❃✣❦✣❘➏✷❅✹✿❃✣❀✔➌❻■✣✵❂✾✣✷❅✵✿✷❅✵❴❃✱ t ✵✿✱✭❀❉✩✹✿➁✣❀✖✳✶❵❜❁❖✾✣✳❴❀✔➌❹❃❏✳❚✺❖❘❤❀➏✷✩✷✯t✴✵❻⑥✻✺★❘❤✳❚❁❖❃⑧✳❴➌❹❦✴❀❛✳❚✼✒✺❖✳✶❑❜❃❏❲❙◆➫■✣✾✭❪❫✵✿❀★❀✖❘❜◆✈✷❥◆✭✷✯❃✴◆✘✺❖❑➷❁✿❀★✮✖❲❬①❤①❜❀★❃✘✫ ✵❇s✳❚✾✣✼✯❅✹✿❄➏❀★✹✚▼✏❁◗➊✍❑❤❲❝❿❷⑥✍✵◗✱✣⑩✇❀▲◆✣▼✏✾✣✳❚✵❇❃❏✳❫✺✽✵✿✺❖✷❅❑❤✾✣❃❫❦✴❀★✾✣✹➏✹◗❀✖✵✿◆❬❑❫▼✏✷❳❑❜◆✘❁❩❀★❃✘✵◗✵✿✱✣✷➐❀❉▼✏❄ ■✣❁✿❁◗❀★❀★❘❜❣✘✷✯✷✯❑❜❑❜❃✣✾✣✹✍✹❻❑✶✹✿✾✭▼✻❦✣✳✶✹✿❃✣❀★❑❜✵❴❲⑧✬ ✳❚✼✯✷❅❀★✹❻✷❅❃➫✼❳✳✶❁✿❘❜❀❛❲✚✾✭✼✯✵◗✷➐✐ ◆✘✳✶✼❅✷❅❘❜❲❙❑❤❀✔❁✿❃✣✷❅✵◗✹✿✱✣✷❅❑❤❲❾❃✴✳✶❁✿✼✒❀★■✭◆✣✼❥✳✶✳❜✵❖✺❖✳✣❀★✬✚✹❉●✢✱✘❄✘❑❫■✴❲⑧❑❤✵✿✳ ✱✭❤❀★❀➏✹✿✷❅✹✩✵✿✐✿✱✣◆✘❀✚❁◗✷✯■✭❣❜❁✿❀★❑✣❃➷✺❖❀★❀❖✹◗④✣✹✚■✣✼❅❲❙❑❤❁❖❑❤✳✶❁◗✵◗❀❛✷✯❑❜❀✽❃✦➍⑧t✴✺❖➌❻✷❅❀★✱✣❃✘❀★✵❉❃➅❑❤✳❚✾✣❃ ✵◗✼❅✷✯✳❚❀✔❃❏❁❼✳✶◆❺✼❅❄✘❀★✹✿✵✿✵▲❀✖✺✽✷✯✵✿✹✍✷❅❑❤✹◗❃ù✷✯❲❬✷✯✹❈■✣✼❅❑✶❄❙❣❤✼❅❀★❑✘❁◗❑✼❥✳❚✘■✣✷❅❃✣■✴❘⑧❀✖◆➫✳❚✵✍➌❻✵✿✷❅✵✿✱✣✱➷❀✚✺❖◆✣✾✣✳✶❦✴✵❖✳❫❀⑧✳✶✺❖❑❜✵❉❲❙◆✘✷■✣✾✣❀✔✵❖❁✿✳✶❀★✵◗❃✘✷✯✵❉❑❜❃✦✼❅❀★t❷❣❜✵◗❀★✱✣✼❅❀✹ ❑✶✺❖❑❜▼❂❲❙✳❚❘❤■✣❘❜✾✣❁✿✵◗❀★❀✖❘✘◆❫✳✶✵✿✺❖✷❅❑❤❑❜❲❬❃➷■❏✵✿✳✶❑ ❁◗✷❅◆✘❃✣✷❅❘❛✹❖✺❖❁◗❑✶❀✖❣❤✳✶❀★✼✒❁✚◆✣✳✶✳❚❃ ✵❇✳➏✳✶✷❅❃✣❃ ❑❜❲⑧✳✚✺❖✳❚✾✭✼✯❄❜❦❏t❏❀✚➌❻✺❖✷❅❀★✵◗✼❅✱ò✼✦➌❻◆✘✷❅✷❅✹❇✵◗✺✽✱❑✶❣❤✵✿✱✣❀★❁◗❀➏❄❤✐✿✳✶◆✘❃✘❁◗✵✿✷✯✷❳❣❜✺❖❀★✷❅■❏❃➅✳❚✵✿❀✽❀✖④❺◆❬■✭✼✯❣❤❑❜✳✶❁❇✼❅✳❚✾✣✵✿❀❜✷❅❑❤✬❩❃✦●❻t❽✱✭➌❻❀❛✱✣✺❖❀★❑❤❁◗❲❬❀❫■✣✷✯❃✴✾✣◆✘✵❖✷❳✳✶✺★✵✿✳✶✷❅✵◗❑❜❑❤❃❙❁✿✹❈❑✶▼✒❑✶✵◗▼✻✱✣❀❖❀❛④❏✺❖✳✶❀★❃✘■✭✵◗✵✿✷❥✺✽✷❅❑❤✷✯■✴❃✣✳✶✹❙✵✿❀❴✳❚◆❫❁✿❀❬❣❤✳✶■✣✼❅❁✿✾✣❀❖❀✐ ✵❇❲❙✳ ❀✔❤✵✿❀★✱✣✹❻❑✣✷❅◆❫❃✘✵✿✳✶❑➏✼❅✼❅✳❤❑✶✺★➌❻✺❖❑❜✹❩✾✣✵◗❃✘❑ ✵❻❏✵✿❃❏✱✣◆❫❀✍✳✶✺❖❀★❃✭✼❅❑❤✼ ❲⑧✹❩✳❚■✴✼❅❑❤✷✯❀✔✹◗✷✯✹❩✵◗✷❅✳✶❑❤✵✻❃✚◆✘✷❅✷ ❃❙❷❀★✵◗❁✿✱✣❀✔❀❉❃➈✵▲◆✣✳✶✼❅❀★✵❖❣❤✳❉❀★✺❖✼❅✹❻✾✣❦✴❑❚❀❛▼♦✳❚✳✶❘❤❃✴❘❜◆➏❁✿❀★✵✿❘✘❁✿❀✔✳✶❃❏✵✿✷❅◆✘❑❜✹❂❃❙✳❚➌❻✼❅❑❤✱❏❃✣✳❚❘❛✵❻◆❺✷✯✹❻✷ ❷❣❜❀★❀★❁◗❁✿❀★❄❃✘✵✻◆✘◆✘✷➐➍⑧✷❅❲❙✺❖✾✭❀★❃✣✼✯✵✸✹◗✷❅✵✿❑❤❑❙❃✣◆❺✹✢❑✚✵✿✱✭❲⑧❀❼✳✶✺✽❃✘❀★✼❅✾❏✼❷✳❚❦❏✼❅✼✯❀★❄❈✼❅❑❜➌❻❃✣✱✣❘❤❀★✹✸❃✵✿❑✴✹◗✬✢❀✖✳✶●❻❁❖✱✣✺✿✱ ❀ ✹✿✳✶■✴✼❅❘❜✳❤❑❤✺❖❁✿❀✚✷❅✵◗✷❅✱✣✹✻❲ ❣❜❀★✺✽❁✿❑❤❄ ❃✣✼❥✹◗✳❚✷❥◆❺❁✿❘❜❀★❀❉❁✿✹❉❦❏✳✚❀❴✺★❣❤✳✶✳❚✾✣✼❅✹◗✾✣❀✚❀❉❑✶✷❅▼❩❃ ✵◗✳❙✱✣❀➏✺✽❀★❃➈✼❅✼③✾✭❲✚❑❚▼❩❦❏✳❙❀★❁❻◆✣❑❚✳❚▼❹✵❇✳❙◆✘✷❅✺✽❲❙✾✣❦❏❀✔❃✣❀✚✹✿✵◗✷❅❑❤❑❙❃❦✴✳❚❀ ❃❏✳❚◆❫❃✹✿❀❖❀✔④❏❣❤❀★✺❖❁❖❀★✳✶■✭✼✒✵✿✷❅✼❅❑❤❀★❃➫❣❜❀★✷➐✼✒▼ ◆✘✷❅✵▲❀★❀★✷✯■➫✹▲✹✿✱✣✷❅❘❤✷❅❀★❃✭❁❇✷✳❚❷❁❇✺★✺◗✳✶✱✣❃✘✷❅❀★✵✿✹❉✼❅❄❫✷❅❃◆✘✷ ❀✔❣❤❀★❀★❁◗❁◗❀★❄ ❃✘✵✍◆✘▼✏✷❅❲❙❁◗❑❤❀★❲➔❃✭✹✿✵✿✷❅✱✣❑❤❃✦❀➏✬s❣❤✳✶●❻✼❅✱✣✾✣❀❀ ✳✶❃✘✵◗✷❥⑥▲✺✽✷✯❃➈■✴✵◗✳✶✷❳✵✿✺❖❀❴✷❅■❏◆❙✳✶❦✴✵◗❀✖✳✶◆✚✹✿❀❴❣❤◆❙✳❚✼✯❑❜✾✭❃❀✻✳➏✷❅❃⑧✹✿✵❇✳➏✳❚✵✿✺❖✷❅❀★✹✿✼❅✵◗✼❷✷❳✺★✷❅✹❹✳✶✼❷✺✽❑❤❲❬❃✣❑❺✹◗✷❥◆❺◆❺❀★❀★✼✩❁✿✬ ❀✖◆ ✵✿❑➏❦❏❀❉✳❼▼✏✾✣❃❏✺❖✵◗✷❅❑❤❃❙❑❚▼ ✳❚✼✯❷✳✶❘❜❘❤❁◗❀★❘➈✳❚✵✿❀★✹✻✺❖❑❜❲❙■✣✾✭✵✿❀✖◆✈✾✣✹✿✷❅❃✣❘➏✵✿✱✣❀❉✺❖❀✔✼✯❷❣❤✳❚✼❅✾✣❀❤✬❽❢✥▼③✹✿❑❜❲❙❀ ❆❅❈❇❊❉ www.elsolucionario.net ❆❋❍●✸■ ❆❏❈❑ ❆❋✤❇ ✺❇▲❏◆▼ ✫❖ ❊✌ ❀✌ ➝ ❄❵ ➝ ✓✎ ✒✌ ✓✎ ✏✎ ❪➁ ✺➲ ❬ỵ ➧ ❣Ï ✓⑧ ❈Ð☛Ñ ✶❮ ◆⑩r⑧ ❼⑩ ✹ ➝ ✓✎ ✽✎ ✏⑧ ✲✻ ✍✔ ➛✌ s✹ ❙✻ ✚✌ ✚✌ ✚✌ Ó✛ ➛✌ ❈✌ ❈✌ ✍✔ ❪✛ ✦✹ ✸✻ ✚✔ ✏✎ ➛✌ ✈✎ ✲✎ ✓✎ ➡✹ ❦✻ ✹ ✲✻ ✆✎ ✲✎ ✆✎ ✿③ ➡✌ ✍✔ ✑✔ ✍✔ ✑✌ ✍✔ www.elsolucionario.net ➃❒ ➅➠ ✄❘➳❘ ❊❤❊ www.elsolucionario.net ✷❅◆✘✳✶✹❉❃✘✷❅❲❙✵◗✺❖✷❥❑❤❀✔✺✽❃✣❃✣✷✯■✴✹◗✹✿✷❳✳✶✷❅◆✘❑❤✵✿❀★❀❴❃❬❁✿◆❙❀❴✱❏◆➷❣❤✳✶✳❚✹▲✵✿✼❅❑❫✾✣✱✣❀★✷❅❦✴❀★✹❻❁❇❀❙❑✶✳❚▼✢❁❇✳✶✺◗❃➫✵✿✱✘✱✣❄❀❖❀❉④❏◆✘✺❖✺❖❀✔❀❀★✼✯❏■✣❽❃✣✵◗❃✣✷❅❀❴❑❤❑❤◆❃✦❁◗❲⑧t❽❑❜❃✷➐✳❚▼❩✼✯✷❅✷❅✷❅✵✖⑦★✵✿t✣✹✍❀❴◆➏✵◗✹✿✱✣✵❖❦➈❀❛✳✶❄❬❃❏✺❖◆✣❀✔✵✿✱✣✼✯✳❚✢❀❈❁❇❣❤◆✘❃✣✳❚✷❅⑦★❑❤✼✯✾✭❀❴❁◗◆➫❀❼❲⑧✳❚❁✿✳✶❀★✼❅✼✴✹✿✹◗❑❙◆✘✷❥◆❺❀★◆✘✾❏❣✘❀★✷❳✳✶✳✶■✴✼✩✵✿t✦❀★✷❅❃❏❑❜✺★✳❚◆❺❃✦✼❳✹❉t✘✺❖✾✣✷❅❑❤✹❻✼❳❃❫✳✶❲❙✵◗✷❅❀✖✵✿❑❤✹▲◆➷❁◗❀✻■❏✳✶✳✶✵◗✹❉✱❏❁◗❀★✳✶✳✶❃✘❦✭❃❬✵✿✹✿✹❉✹✿❑❤❑❤✼❅✳✶✾✣❲❬✼❅✵◗❑❤❀❀✻❃✭✵◗❘❛◆❺✱✣✷ ✵◗❷❁✿✱✣❀★❀★✹◗❀❛❁◗✱✣❀★✱✭❑❤❃❏✷✯✼❳✺❖❀✔◆❷❀❬❁❇✬ ✳✶❦❏❁❖❀★✺◗✱✣✵✩➌✸✷❅❀★❀★✹✖❀★✬❻❃ ⑥✡✳❤✺❖✺❖✵◗❀★✾❏✼❅✼✢✳✶✼✒❣❤✳✶✳❚✼❅❃❏✾✣◆ ❀ é❻ê◗ë ỉ❻ư ï③ø❺û ⑥ ỵýýỵ ỵ ýỵỵ ự ýỵỵ ✑✔✓❴✕➈✗✶✧✥✛ ✬ ✼✯✾✣❶✸❑❜✹✿✼✯❘❤❀✖✾✭✷❳◆➫✹✿✺★✵✿✳❚❀✔✳✶✼✦❁❂✹❉✹✿✳✶✵◗✳✈✾❏❃✴✹✿◆✘✳✶✵❇✷❅✼❅✳❚❀★❄✘❃❏✹❴✹✿t❷✷❅◆❜✹❻✐✿✹✿✳✶■❏✱❏✼❅✳❚✳✶❑❤✵✿✹❻❃✭✷❳✳✶❀❛➌❻✼✢✷❳◆✣◆✣◆✘✳✶❀✳✶✵❖✵❖✳✚✜ ✳❙❲❬✳❚✢❃❏✷✯✌✥❃✭✳✶✧ ✷✯✼❅❃✭❄✘✜✣❘❛✹✿✓✖✷❅✹✖✧✵◗✴t✴❑➈✛❑❜✰➷✼✢✑ ❀★✵✿✷❅❦➫❑❙❃❏✺✽◆✘❘✘✼✯✾✴❑✣✳✶✷❅◆✘✺❖❃✾✣✷❅❃✣❲❙✷❅❘❛❃✣❀✔✹◗❲❫❃➈✷✯❘❜✵✍✳✶✱✘❁✺❖✵✻❤✼❳✳✶❀★✷❅❃✘✹◗✵✸✹✿✵✿✷❑❤❑✚❁✻✺★✵✿✺❖✳❚✱✭✾✭✵✿❀ ✷❅✹✿❑❤✵✿◆✣❃✦❑❜✳❚❲❙t❷✵❇✳❚✳❫❀★❃❏❁▲◆✘◆❫✹✿✷❅✹✿❀★❲⑧✵◗❘❜❁✿❲❙✳❚✷❅❦✣❃✘❀★✾✣❄❙❃✘✵◗✵❖✷❅❑❤❑❤✳✶✵◗❃✦✵✿✱✣✷❅t✭❑❜❀★❁◗❑❤❃✦✹✖❁✍t❤✬❉■✴✹✿❶✸❀★✳✶❁◗✵✿✼❅❣❤✵◗✾✣❀★❀❙✹✿❁✿✵◗❃✳❚❀★✹❂❁❉❁✿❀✖✳✚✳✶✺❖❃❏■✭❑❜✳❚❘❤❁✿✼❅❀★❃✣❄➈■✣✹◗✷❅✵◗❁◗✷❅✹❂✷✯❑✣❑❜✺❖✺★❃✦❀★✳❚t✣✹✿❃ ✹◗❦✭✷❅❃✣✷✯❦✴❑❚❘ ❀ ✐ tỵ ý t t ỵ ttỵ ỵ t ỵ ý st ỵý ýt ý ý ỵ ỵ ỵ t ý ỵ ỵ ý ýỵ ý ý ự ì ỵ ỵ ỵ ỵ t t ▼✏✷✯❲❬❁✿❑❜■✣❲➂❁✿❑✶❑❤❣❜❃✣❀★❲❙❀❫❀✔❘❜❃➈❁✿❑❤✵◗✹✖✾✭✬ ■➅✵✿❑➷✳✶❃✭❑❤✵✿✱✭❀★❁✖✬ ●✸❄✘■✣✷❳✺★✳✶✼✸■❏✳✶❁◗✵✿✷❅✵✿✷❅❑❜❃➅❲❙❀✔✵✿✱✣❑✣◆✘✹➏✷❅❃❏✺❖✼❅✾❏◆✘❀❸❜✐✩❲❙❀✖✳❚❃✣✹✖t✒❸➈✐✉❲❬❀✖◆✘❑❤✷❳◆✘✹❴t✒❶❻❿❷⑥✍➀❻⑥❂r▲➁❷t✢✳✶❃❏◆ù✵✿✱✭❀★✷❅❁ ⑥❦❏❀❙✢✺❖✧✏✼❳✕✘✳❚✗✶✹✿✜✣✹✿✷ ✗ ❏❀❴✢◆➷✧ ✳✶✜✣✹✍✌ ❦❏➷❀✔✷✯✕✘❃✭✓ ❘⑧❀✔✷✯✵◗✱✣✺✽❀★❁✿❁ ỵ ỵỵýỵ t stt ts t ⑥✵✿❑❽◆✘✕✘❀★❃✣✛ ✹◗✑✔✷❅✧✥✵✩✓★❄ ✤ ❑❚▼❹✜❏❃✣✑✔❀✔✕ ✷✯❘❜✱✘❦❏➷❑❜✕✘❁✿✱✣✓ ❑✘❑✣◆❑❜✺❖❦❤✼❅✾✣⑨❖❀✖✹✿✵◗✺❖❀★✵◗❁❉✹ ❑❤✥✹✿❦❤✾❏⑨✽✺◗❀✖✱➅✺❖✵✿✹✍✳❚✹❉❦❏✳❚✷❅❃ ✹✿❀✖❱✍◆ ♥❩❑❤➁✣❃ ❶✸✵✿⑥✍✱✣❀➏r ❃✣✍❑❤❑❜✵◗❁❛✷❅❑❤✳❤❃✺✔✺❖❑❚❑❤▼♦❁❖◆❺◆✘❀★✷❅❃✣❃✣❘❫✹✿✷❅✵✩✵✿❄✘❑❫✬✍✹✿❢✩❑❜✵✻❲❙❀★❀✚✷❅✵◗✱✣◆✘❀★❀★❁✍❃✣✹◗❘❤✷✯❁◗✵✩❑✶❄ ➌❻▼✏✹❂✾✣❃✴✺❖✼❅✺❖✾✣✵✿✹◗✷❅❑❤✵✿❀★❃ ❁◗✹❛✏✹◗✳❤✾❏✺★✺◗✺✽✱➅❑❤❁❇✳✶◆❺✹❉✷✯❃✭✷❅❃❘ ❱❂➇♦r✻❶❻❿✦➆▲➇ ★✬✭●❩❄✘■✣✷❳✺★✳❚✼✦◆✘❀★❃✣✹◗✷❅✵✩❄❤✐✩❦❏✳❚✹✿❀✖◆❫❲❬❀★✵✿✱✭❑❺◆✈✷❅❃❏✺❖✼❅✾❏◆✘❀❉❱✍♥❩➁✭❶✸⑥❂r❉t✣➊✍⑩✢●❻❢✿❶❻➁➎t❏✳✶❃✴◆⑧❱✍➇✒r▲❶❻❿✦➆▲➇❻✬ ⑥✳✶❃❏✴◆✈✗✶✵✿✧ ✱✣❀★❃❫✜❏■✴✑★❀★✕ ❁✩▼✥❑❤❁✿➷❲❬✕✘✹❹✓ ✺✽✼✯✾✭✹✿✵✿❀✔❏❁✿❁✿✷❅❃✣✹◗✵ ❘❙❵❜❑❜✾❏❃❙✳❚❃✘✵◗✵✿✱✣✷❅❀✍⑦★❀★❘❤✹✒❁✿✷❳✵◗◆✈✱✣❀✸✹✿✵✿❑❤❁◗❦❤✾❏⑨❖✺❖❀✖✵◗✺✽✾✣✵✒❁✿✹✿❀❤■❏✬❻✳❜➁✘✺❖●❻❀❻❢✿✷❅r▲❃✘✵✿➒➋❑❂✳ ✷❅✹❻❏✳➏❃✣✷❅✵✩✵✿❄➈❀✸■✭❃✘✷❥✺✔✾✣✳✶❲✚✼✴❦✴❀❖④❏❀★❁✢✳✶❲❙❑✶▼ ■✭✺❖✼✯❀✔❀❻✼✯❅❑❚✹✢▼ ➌❻✳❈✱✣❘❤✷❳✺◗❁◗✱❉✷❥◆➈▼✥✐✉❑❤❦❏❁✿✳❚❲❧✹✿❀✖✳s◆❬❘❤❲❬❁◗✷❥❀★◆❈✵✿✱✣✹✿✵◗❑✣❁✿◆✈✾❏✺✽❦❏✵✿✳✶✾✣✹◗❁◗❀✖❀❤◆ t ❑❤✳✶❃❙❁✿❀✍✹◗❦✴✵❇✳❚❑❤✵✿✵◗✷❅✱⑧✹✿✵◗❘❜✷❥✺✔❁✿✳✶✷❳◆❜✼✦✐✩✷❅❦❏❃✘✳✶▼✥❑❤✹◗❀✖❁✿◆❫❲❫✳✶✳✶❃❏✵◗✷✯◆❫❑❜❃❉◆✘✹✿❀✔✵◗❃✣❑❤✹✿❁◗✷❅❀✖✵✩❄❜◆❫✐✉❦✴✷❅❃❙✳✶✹✿❘❜❀❴❁✿◆❷✷❳◆❙✬ ✺❖❀✔✼✯❅✹❴✬❩❶❻❿❷❢✿→✍➆▲➇ò✳❚❃❏◆✚✰➅✳❴❣❜❀❖✐✿❶✸✼✯✾✭✹✿✵✿❀✔❁✻✳✶❁✿❀✍✵✩➌✸❑ ✺✽✼✯✾✭✹✿✵✿❀✔❁✿✷❅❃✣❘❙✳✶✼❅❘❜❑❤❁✿✷❅✵◗✱✣❲❙✹✢➌❻✱✣✷❳✺◗✱ ⑥✵✿✱❏✳❚✵❛❲❬❽❑❺✕✘◆❺✌ ❀★✼✩✬✜❏✑✔●✸✕ ❄➈■✭✷❥➷✺✔✳✶✕✘✼✸✓ ❲❙❑✣◆✘❀★✱✘✼➐✐✩❄➈❦❏■✴✳✶❑❤✹◗❀✖✵◗✱✣◆➫❀★❲❙✹◗✷✯⑦✔❀★❀★✵◗✹ ✱✣❑✣✳✈◆✘❲❙✹❉❑✣✷❅❃❏◆✘✺❖❀★✼❅✼➎✾❏▼✏◆❺❑❤❀❙❁▲✹✿❀✖✵❖✳❤✳✶✺◗✵◗✱➷✷✯✹◗✵✿❑❚✷❳▼❩✺★✳❚✵✿✼✻✱✣❀✚✳✶■✣✺❖■✣✼❅✾✣❁◗❑➈✹◗✵✿✳❜❀★✺✿❁◗✱❽✹❛t✢✳✶✹✿❃❏✾❏◆ ✺◗✱✲❏❃❏✳✶◆❺✹➏✹❂⑥✻✵◗✾✣✱✣✵◗❀➏❑➈❶✸❦❏❀★✼❳✹◗✳✶✵ ✹◗✹✖❏t✸✵✍❶❻❑✶➊❂▼✸♥♦✵✿✱✣✰✇❀✚➇✒◆✣♥✡✳✶✵❖✳✚✳❚❃❏✵◗◆❑ ❶❻❿❷⑥❂➁✭➁✘❢✩●❉t❏✳❚❃❏◆✚❃✣❀✔✾✣❁❇✳❚✼✦❃✣❀★✵✩➌✸❑❤❁ ⑧✳❚■✣■✣❁✿❑✘✳❤✺◗✱✦t✭✹✿✾❏✺◗✱✳✶✹✻➁✣➊✍❪➷✬ ➊✻◆✘❀★❃✭✵✿❀✻❀❴✺❖■✴✵✿✷❅❀★❑❤❁✿❃❽✹◗❑❤t✻❃ ✺❖✹❻✾✣✹◗❃✣✵✿❑❜❑❤✷✯❲❬✹◗❀✻✷❅⑦★✺❖❀✖❑❤◆ù✾✭✼❥❲⑧◆➏✳❚❦✴❁ ❀❂❤❀✔✳❚✵✿❃✣✷❅❑❤❃✣✵◗❘❏✱✣t✢❀★❲❬❁✸■❏❀✖❀✔◆✘❁✿✷❳✹✿✺★❑❜✳❚❃✼❹✳❚✹❻❃❏✹✿✳✶✷❅❘❤✼❅❄✘❃✴✹✿✳✶✷❅✼✩✹✖✄✬ t✸✛ ✳✶❃❏✎✢◆ù✓❴✌✏❲❫✧✥✕✘✳✶✗ ❃✘❽❄ ✕✘❑❜✓✖✕✵✿✱✣❀✔✓✖❁❙✧ ❏✵❇✛➫✳❚✹ ✜✣✘✛ ✹✖✬➪➫✜✣●❩✛✢❄✘✜✣■✣✌✥✷❳✤✦✺★✳❚✑★✼✻✧✩✑ ✺❖✷❅❑❤✹✒❲❬❣❤■✣❀✔❁✿✾✣❄✚✵◗❀★✾✣❁✩✐✩✹◗❦❏❀❖▼✏✳✶✾✣✹◗✼✭❀✖◆▼✏❑❤❁ ❑❜▼✏✾✣❁❇✵✿✳❚✼❅✾❏✷❅❀★◆ ❁ ✳✶❃❏✳❚✼✯❄✘✹◗✷✯✹✸❲❙❀✔✵✿✱✣❑✣◆✘✹❻✷❅❃❏✺❖✼❅✾❏◆❺❀❛ý ỵý ỵ ỵý ý t ỵ ỵ ýỵý ữứụủúữú ✮❜✬✸✰✲✱❏✳✶✵❻✷❅✹❻✺❖✼❅✾✣✹✿✵◗❀★❁✿✷❅❃✣❘✘❆ ➃s❑✶➌✲✷❅✹❻✷❅✵✻◆✘✷ ❀★❁◗❀★❃✘✵❻▼✏❁◗❑❤❲➉✺✽✼❥✳❚✹✿✹◗✷ ❷✺★✳✶✵◗✷✯❑❜❃❏❆ ❋✭✬❻➒✍✷❅❣❤❀★❃❫✳✶❁✿❀❈✵✿✱✣❀▲▼✏❑❜✼✯❅❑✶➌❻✷❅❃✣❘✍❲❙❀❴✳✶✹✿✾✭❁✿❀★❲❬❀★❃✘✵✿✹✸▼✏❑❜❁❩✵◗✱✣❀❉❣❤✳✶❁◗✷❳✳✶❦✣✼❅❀ ✔❭ ✮✖✫✣t✣❋❜❋✣t✣❋❜❞✣t✘❯➈❋✭t✣❋❤✫✭t❤❯✘❊✣t✣❊❤❊✭t✣❊❤❞✭t✣❞❤♠✣t✣❋❜✫✣✬ ➁✘✵❇✳❚❃❏◆✣✳✶❁❖◆✘✷❅⑦★❀✍✵✿✱✣❀❈❣❤✳✶❁✿✷❳✳❚❦✣✼❅❀✻❦✘❄✚✵✿✱✣❀❼▼✏❑❤✼❅✼❅❑✶➌❻✷❅❃✣❘❏❭ ✔➮❾➱✲■ ●✸■ ✖❑ ✞❇❊❋❯▼ ✚✌ ✑✔ ❁✃ ✝ ❯➨t➨ ✝ ✡ ✄✂☛☎ ☞ ✁ ✄✂✆☎ ✁ ✄✂✆☎ ✞✝ ✝ ✝ ✙✕✖✕ ✖✟ ✓✎ ✥✣ ✍✌ ✝ ✘ ✗ ✥✣ ❣✕ ✥♠ ✁★✫❁✏✧✩☎✯➀❂✂✆ ❹❳ ❄✚✂☛ ✄✧✚☞ ➡✣✐❤❝✘ ✠✬ ✁★✵✂☛☎✯✮ ◆★✵◗ ✡★✵✂☛ ➥✺◗✆☎❙☞ ✡★✵✂☛ ✝ ❣✌ ➡✝ ✪❂☎ ✥☞✼❳❙✬✚✂ ❄✧✚☞ ✝ ✕ ❨✧✚❁✥❘❚◗✼☞ ✥✣ ✫✟✵✣ ❬Ù ✙✘ ➸◗✼☞✲✧✯ ❹❳❙✬✚✂ ❄✧✚☞ ◆✟✞♠ ➡✳❚✂✆☎✚❁ ✶❁ ✥◗☛★ ✁★❚✪ ❨✧✚❁✥❘❚◗✼☞ ✚➥❆❘ ❬✧✯☎❙✂☛☎✚✚❘ ❬✚✂☛ ❨✧✚❁✥❘❚◗✼☞ ✚➥❯☞✲✧✯★ ✶❁✿✮✼❳❙✬❙✂ ❄✧❙☞ ➸✧➛❁✥❘❚◗✼☞ ✚➥ ❨✧➛❁❬❘✙◗❄☞ ✌ ❄❞✖✣◆✘ ✶❁❃✧✯☎❙✂❂❁ ✡➀❂✧➯☎❙✧✯ ✄◗✼❙✂❂❁ ✥◗☛★➃❁✏✧❙➛❘✸★ ❬é✩❩✙✧ ✝ ✝ ❞ ❞ ✝ ✵♠ ✼❞✖✣◆✘ ✍✌ ✝ ✰✂✼✪✼✪❂ ✶◗ ❨✧✩☎✚✂✼❁ ✁➀☛✧❨✹✩✬✚◗✼❁✥❁❃◗ ❀❳✏❩✼✳✸✻ ❣② ✢ ✘ ✙✘✾♠ ✜☞ ✁➀ ✁➀☛✧✞✹✓❁❃◗➛✳✙❳❙☞✽◗☛Ö❆★✲✻ ❄❞✖✣◆✘ ✜✹ ❯✻ ✹ ❆✻ ✝ ✝ ✟ ✿✘◆② ✢ ♠✾✣◆✘ ✙✘✒♠ ✥② ✢ ❚✘ ♠ ❄❞✖✣◆✘ ✌ ➦✌ ✭✌ ✼❞✠✣◆✘ ❊✌ ✓✎ ✝ ◆③ ◆③ ▲✘ ✝ ✏✎ ✚❁✏✂✼❁ ✥✣ ❆✘ ✏✎ ✚❁ ✥❙✂✆ Ü✂➛✳✲✳❭☎❙◗✼✂✲➛❘✲➥➦☞ ✚❁❃✂✆★✵✚✧✚❳❙✬✚✂ ❄✧✚☞✞✂✚✳✽✳✵☎❙◗✼✂✲➛❘ ☛ ✍✔ ✑✌ ❝✂✼✪✲✧ ✾☞✽✧✩➀ ❬✂✼❁ ❬◗✆★s✂☛★✵✂✆ ✑✮ ❝✂✚✳✽✳✵☎✚◗❄✂✽✚❘ www.elsolucionario.net ➃☎❙✂❂❁ ✥◗✼❳ ❄✚✂☛ ✄✧✚☞ www.elsolucionario.net ➛ ❻➞✒➟ ➪➛ ③➠➎➞✒➟ ❂➝ ♦➠ ✿➠ ❆❅❈❇❊❉ ❆❋❍●✸■ ❆❏❈❑ ❆❋✤❇ ✺❇▲❏◆▼ ✫❖ ✉✳ ❙❶✸❑❤❲❬■✣✾✣✵◗❀✻✵✿✱✭❀❉❲❙❀✖✳❚❃❙✳✶❦✣✹◗❑❤✼❅✾✣✵◗❀❼◆❺❀★❣✘✷❥✳❚✵✿✷❅❑❤❃❬❑✶▼ ✔✬ ✏❦ ❫❶✸❑❤❲❬■✣✾✣✵◗❀✻✵✿✱✭❀❉⑦❖✐✩✹❇✺❖❑❜❁✿❀✍▼✏❑❜❁❻✵✿✱✣❀ ❏❁◗✹✿✵s▼✏❑❤✾✣❁✸❲❙❀❴✳✶✹✿✾✭❁✿❀★❲❬❀★❃✘✵✿✹✖✬ ❊✭✬❻➒✍✷❅❣❤❀★❃❬✵✩➌❩❑✚❑❜❦❤⑨❖❀✖✺❖✵◗✹✻❁✿❀✔■✣❁✿❀★✹◗❀★❃✘✵✿❀✖◆ ❦✘❄❙✵◗✱✣❀✍▼✏❑❜✼✯❅❑✶➌❻✷❅❃✣❘✍✵✿✾✭■✣✼❅❀★✹✖❭ ✉❋❤❋ ✖✮ ✿❯✘❋ ❴✮✖⑤ ★t✶✳✶❃❏◆ ✩❋❤⑤ ❖⑤ ❖❊❤♠ ❇✫ ★t ✉✳ ❙❶✸❑❤❲❬■✣✾✣✵◗❀✻✵✿✱✭❀❛➇✢✾❏✺❖✼❅✷❳◆✘❀✖✳❚❃◆✘✷❅✹✿✵❇✳❚❃❏✺❖❀✍❦✴❀★✵✩➌❩❀✔❀★❃ ✵◗✱✣❀✍✵✩➌❩❑✚❑❜❦❤⑨❖❀✖✺❖✵◗✹✖✬ ✏❦ ❫❶✸❑❤❲❬■✣✾✣✵◗❀✻✵✿✱✭❀❛❪✳✶❃✭✱❏✳✶✵◗✵❇✳✶❃❫◆✘✷❅✹✿✵❖✳✶❃❏✺❖❀❈❦❏❀★✵✩➌✸❀★❀★❃ ✵✿✱✣❀❉✵✩➌✸❑➏❑❤❦❤⑨❖❀✖✺✽✵✿✹✖✬ ✉✺ t t ỵ ỵ ỵỵt ỵ tt t ❃✴✳✶❲❙❀ ❘❜❀★❃❏◆✘❀✔❁ ✵◗❁❇✳❚✷✯✵➣✐✽✮ ✵◗❁❇✳❚✷✯✵➣✐➣❋ ✵◗❁❇✳❚✷✯✵➣✐➣❊ ✵◗❁❇✳❚✷✯✵➣✐✉❯ ✼▲❀★❣❤✳❚❃ ❶❻✳✶➇ ❁✿❁✿❑❜✷ ✼❅✷✯❃✭❀ ❪❪ rr⑩ r⑩⑩ r⑩⑩ rr⑩ ✬✬ ✬✬ ✬✬ ✬✬ ✬✬ ✬✬ ●✒✳✶❦✣✼❅❀✍✫✣✬❡❊✣❭❽⑥➋❁✿❀★✼❳✳❚✵✿✷❅❑❤❃❏✳❚✼❷✵❇✳❚❦✣✼❅❀❼✺✽❑❤❃✘✵❇✳❚✷✯❃✭✷✯❃✭❘❉❦✣✷❅❃❏✳✶❁◗❄⑧✳❚✵✿✵✿❁◗✷❅❦✣✾✣✵✿❀✔✹❻▼✏❑❜❁❹✳➏■✴❀★❃✣■❏✳❚✼✦✹◗❀★❁✿❣✘✷❳✺❖❀❤✬ ✣❑❜❁✻✳✶✹✿❄✘❲❬❲❙❀★✵◗❁✿✷❳✺❩✳❚✵✿✵◗❁✿✷❅❦✣✾✣✵◗❀❉❣❤✳✶✼❅✾✣❀★✹❴t✘✼❅❀★✵❻✵✿✱✣❀✍❣❤✳❚✼✯✾✭❀★❂✹ ✂❝✳✶❃❏❛◆ ☎➋❦✴❀❉✹◗❀★✵❻✵✿❑✮❜t✣✳✶❃❏◆❬✵✿✱✭❀❉❣❤✳✶✼❅✾✣✯❀ ✝❾❦✴❀❉✹✿❀★✵▲✵✿❑❙⑤✭✬ ❣❤➁✘✳✶✾✣❁✿■✣✷❳■✴✳❚❦✣❑❤✼❅✹◗❀★❀✹✖✬ ✵✿✱❏✳❚✵✚✵✿✱✣❀➫◆✘✷❅✹✿✵❇✳❚❃❏✺❖❀❫❦✴❀★✵✩➌❩❀✔❀★❃✇❑❜❦❤⑨❖❀✖✺❖✵◗✹ ✥■❏❑❜✵✿❀★❃✘✵✿✷❳✳❚✼❻■❏❀★❃✭■❏✳✶✼❅✹ ✈✷❅✹❙✺❖❑❤❲❬■✣✾✣✵✿❀❴◆➷❦❏✳❚✹✿❀✖◆ ệ tt ýỵ ỵ ỵ ỵ ✰✲✱✣✷❳✺◗✱❫■❏✳✶✷❅❁❻❑✶▼✒✷❅❃❏◆✘✷❅❣✘✷❳◆✘✾❏✳❚✼✯✹✸➌✸❑❤✾✣✼❳◆❬❦❏❀➏✵✿✱✭❀❉✼❅❀✖✳✶✹◗✵ ✏❀ ❫➁✘✺❖❑✘✾✣❀❖■✭➍⑧■❏❑❜✺❖✷❅✹✿❀★❀❃✘✵❴✵◗t❏✱❏➌❻✳✶✵➏✱✭❑❛➌❩❀➌✸❑❤✳❚✾✣❁✿❀❙✼❳◆✈✵◗❦❏❑➷❀❉✷❅❃❏✵◗✱✣✺❖❀✍✼❅✾❏❲❙◆✘❀❬❑❜✹✿✵✿✵❻✱✣❀❫✺❖❑❤✹✿❲❬❄✘❲❬■❏✳✶❲❙✵❖✳✶❀★❦✣✵◗✼❅❁✿❀❻✷❳✺➏■❏❣❤✳❚✳✶✷✯❁❴❁◗t✣✷❥✳❚✳✶❦✣❃❏✼❅◆❬❀ ➌❻✱✘❄✣❆ ➏✷❅❃➅❑❜✾✣❁ ✳❚❃❏✳✶✼❅❄✘✹✿✷❅✹❴✬➅♥❩✳❚✹✿❀✖◆ù❑❜❃➅✵✿✱✭✷❀ ✘✳❤✺★✺✔✳✶❁❇◆ ❞✭✬❻❶✸✳✶■✣✼✯✾✭■✣✹✿✼❅✷❳✵✿✺★❀✔✳❚❁✿✵✿✷❅❃✣✷❅❑❤❘➏❃❬✱❏❀❖✳✶④❏✹✸✳✶❦❏❲❙❀✔■✭❀★❃✼✯❀❻■✴❑❚❑❤▼③■✣✵◗✾✣✱✣✼❳❀✍✳❚▼✏❁✿❑❜✼❅❄❛✼✯❅❑✶❁◗❀✖➌❻✺❖✷❅❑❜❃✣❘❤❘❉❃✣✺★✷❅⑦★✳❚❀✖✹✿◆❫❀★✹❴✳❚❭ ✹❹✳❚❃❙✷❅❲❙■✴❑❤❁◗✵❇✳✶❃✘✵✒◆✣✳❚✵❇✳❈❲❙✷❅❃✣✷❅❃✣❘✻✵❖✳✶✹ ✚➌❻✷✯✵◗✱❙❦✣❁◗❑➈✳❜◆❙✳✶■✭■✣✼❅✷❥✺✔✳✶✵✿✷❅❑❜❃✣✹✖✬✢➒✍✷❅❣❤❀❻❑❜❃✣❀ ✉✳ ✚⑥✻❃✳❚■✣■✣✼❅✷❳✺★✳✶✵◗✷✯❑❜❃❙➌❻✱✣✷❳✺◗✱❫✵❇✳ ❤❀★✹✻✺❖✼❅✾✣✹◗✵✿❀★❁◗✷❅❃✣❘❙✳✶✹✻✳➏❲❫✳★⑨❖❑❤❁✸◆✣✳✶✵❖✳➏❲❙✷❅❃✣✷❅❃✣❘▲▼✏✾✣❃❏✺✽✵✿✷❅❑❤❃✦✬ ✏❦ ❬✵❇⑥✻✳❚❃➫✹ ✘✳✶✹✖■✣✬ ■✣✼❅✷❳✺★✳❚✵✿✷❅❑❤❃❬➌❻✱✣✷❳✺✿✱❫✵❖✳ ❤❀✔✹❂✺❖✼❅✾✣✹◗✵✿❀★❁◗✷✯❃✭❘⑧✳✶✹✻✳➏■✭❁✿❀★■✣❁◗❑✣✺❖❀★✹✿✹◗✷❅❃✣❘✵✿❑✘❑❜✼✴▼✏❑❤❁✻◆✣✳❚✵❇✳➏■✣❁◗❀★■❏✳❚❁❇✳✶✵◗✷❅❑❤❃❫▼✏❑❜❁❻❑❤✵◗✱✣❀★❁❂◆✭✳✶✵❇✳➏❲❬✷❅❃✣✷❅❃✣❘ ♠✭✬❻♥✒◆✘❀★❁◗❃✣✷✯❀ ✹◗❏✷✯✵✩❄➅❄❜✐✩◆✘❦❏❀★✳✶✹❖✹◗✺❖❀✖❁✿◆❫✷❅❦✴❲❬❀❙❀★✵✿✵✿✱✭✱✣❀✚❑✣◆✘▼✏❑❜✹❴✼✯t✘❅❑✶❘❤➌❻❁◗✷❥✷❅◆➈❃✣✐✉❘❙❦❏✳❚✳❚✹✿■✣❀✖■✣◆❬❁✿❑✘❲❬✳❤❀★✺◗✵✿✱✣✱✣❀★❑✣✹➏◆✘✵✿✹❴❑➫t✣✳✶✺❖❃❏✼❅✾✣◆✈✹✿✵◗❲❙❀★❁✿❑✣✷❅❃✣◆✘❘❀★✼➐✐✩❲❬❦❏✳✶❀★✹◗✵✿❀✖✱✭◆✚❑❺◆❺❲❬✹✖❀★❭❉✵✿■✴✱✭❑❺✳✶❁✿◆❺✷❅✹✖✵◗✬✒✷✯❑❜➒✍❃✣✷❅✷❅❃✣❣❤❘❙❀▲❀❖❲❬④❏❀★✳✶✵✿❲❬✱✭■✣❑❺◆❺✼❅❀★✹✖✹❩t❽✷❅✱✣❃❬✷❅❀★❀✖❁❇✳❤✳❚✺◗❁❇✱ ✺◗✱✣✺★✷❳✳❚✺★✹✿✳✶❀❤✼✸✬ ❲❙❀✔✵✿✱✣❑✣◆✘✹❴t q✭✬❻❄❤➃❻❑❤✾✣✾✚❲❫◆✘✳✶❀★❃❙✹◗✷❅❘❤❀✔❄❤❃❙❀★✳❉✹✍◆✣✳✶❁✿✳❚❀▲✵❇✳▲▼✉✳❚❣✘✹✿✷❅✵✻✹✿✾❏✳❚✳❚❃❏✼✯◆❬✷❅⑦✖✳❚❀ ✵✿✷❅❀❴❑❤✺❖❃❈✵✿✷❅❲❙❣❤❀➏❀★✵◗✳✶✱✣✵✦❑✣⑨❖◆❉✾❏◆❺➌❻❘❤✱✣✷❅✷❳❃✣✺◗❘➏✱➏✵✿❲⑧✱✣❀❛✳❴❄✍❵❜✱✣✾❏❀★✳❚✼❅✼❅■✚✷✯✵✩❄➏✱✘✾✣❑✶❲⑧▼❩✺❖✳❚✼❅❃✣✾✣✹✦✹◗✵✿❣✘❀★✷❅❁◗✹✿✷❅✾✴❃✣✳✶❘✚✼❅✷❅❲❙⑦★❀✻❀★◆✣✵◗✱✣✳✶❑✣✵❖✳✍◆✘✹✸✺❖✼❅▼✏✾✣❑❜✹✿❁❩✵◗❀★✵✩❁✿➌✸✹❻❑✶✳✶✐✿◆✘❃❏✷❅◆❻❲❙⑨✽❀★✾❏❃✭◆✘✹✿❘❤✷❅❀✸❑❤❃❏✵✿✱✭✳❚✼❏❀❂◆✣✺❖✳❚✼❅✾✣✵❇✳✣✹◗✵✿✬✒❀★❶❻❁◗✷✯❃✭✳❚❃❘ ❵❤✾✴✳✶✼❅✷❅✵✩❄➏▼✏❑❤❁✸✵✿✱✣❁◗❀★❀❖✐✿◆✘✷❅❲❙❀★❃✭✹✿✷❅❑❤❃❏✳❚✼✦◆✣✳✶✵❖✳❤❆❫✰➪✱❏✳✶✵❻✳✶❦✴❑❤✾✣✵✸▼✥❑❤❁✸❀★❣❤❀★❃ ✱✣✷❅❘❤✱✣❀★❁✻◆❺✷✯❲❬❀★❃✣✹◗✷✯❑❜❃❏✳✶✼✴◆✣✳✶✵❖✳❤❆ ✫✭✬❻✾✣➒✍✹✿✷❅❀✖❣❤◆ ❀❂✳✶✳❚✹✻❃❫✳❈❀❖④❏■✣✳✶❁✿❲❙❀★■✭■✭❁✿✼✯❑✣❀❻✺❖❀★❑❚✹◗▼③✹✿✱✣✷❅❃✣❑✶❘❫➌↕✹✿✹✿✵◗■✴❀★■❫❀✖✺❖▼✏✷ ❑❜❁✻✺❈✳✶✺❖❃✣✼❅✾✣❑❜✹✿✵✿✵◗✱✣❀★❀★❁✿❁❴✷❅❃✣✬ ❘✚❲❬❀★✵✿✱✣❑✣◆✘✹❻❲❫✳❴❄❉❦✴❀❉✷❅❃➈✵◗❀★❘❤❁❖✳✶✵◗❀✖◆❷t✘❀❤✬ ❘❏✬❅t✘➌❻✱✣❀✔❁✿❀❉❑❜❃✣❀❉✺❖✼❅✾✣✹✿✵◗❀★❁✿✷❅❃✣❘❙✳❚✼✯❘❜❑❤❁◗✷✯✵◗✱✣❲✡✷❅✹ ✹ ✽✻ ▲✂✼✪✲✧ ✹ ✵✻ ✹ ✴✌ ✐➞ ✽➞ ✙➞ ✽✻ ❦✹ ✙➞ ✙➞ ✐➞ ✽✻ ✹ ✽✻ ✹ ✵✻ ✹ ✩✻ ✙✎ ✓✎ ❨ì❊➢ ❊★✵✂ ❨✧➛➥✠✪✲✧✯★✵☞✲✧✯☎✚➥◆❁✿☎❙✂ ✶❁✥❳✏ü☛➥❣❁✿☎❙✂ ❲❁❬❳✏ý✆➥❣❁➜☎✚✂ ỵ ✶✎ ✛ ✰✹ ❙✻ ✹ ✽✻ ✶✎ ✹ ✵✻ ❯✳❭ ✄✧ ❨✂✼❁✏➛❘ ✁★✫✪✜✚◗❄✧✡➤✦ ✥✧✩★✫❁ ♠❐✫✂✲✚✚✂☛☎❙☞❨✚◗✼✧✁➤✦ ✹ ✩✻ ✹ ✙✻ ❬✧✯★✫❁ ☛✎ ✹ ❄✻ ✞✪✆✧✯★✵☞✽✧✩☎ ✓✎ ✹ ✽✻ ✆✎ ✹ ✵✻ ☛✎ ✏✎ ➛④ ✚✔ ✍✌ www.elsolucionario.net ❊✶❯ ➅➠ ✄❘➳❘ ❊❤❞ www.elsolucionario.net ①✭✬❻❱❂✳✶❘❤✳❚❘❜✵❇❁✿✳❉❀★❘✘✺✽✳✶✾✣✵◗❦❏❀❉❀✔✹❂▼✏❑❜✳✶❁✿❃✴❲❬◆✚✹✖✬✻❲✚♥✸✾✣✳✶✼❅✵✿✹◗✷➐❀✖✐✿◆➫◆✘✷❅❲✚❑❤❃❀★❃✣➌❻✹◗✷✯✱✴❑❜✳✶❃❏✵✍✳✶✼✘❄❤❑❜◆✣✾✳✶✵❖✱❏✳✶❦❏✳❴❣❤✳❚❀❈✹✿❀★✼✯✹✻❀❴✳✶✺✽❑❤❁✿❃✭❃✘❀✖✵❇◆✳❚✷✯❃❫✳❚❦❏✺★❑❜✳✶✾✣✵◗❀★✵✍❘❤✵✿❑❜✱✣❁✿❀✚✷❳✺★✳❚✺❖✼❅✼✉✾✣t❜✹◗❑❤✵✿❁❖❀★◆✘❁◗✷❅✷✯❃❏❃✭✳✶❘⑧✼❷❲❬✳✶❃✴❀★◆✚✵✿✱✭❃✘❑❺✾✣◆❺❲❙✹✖t❷❀✔◆✘❁✿✷❳❀★✺★✹◗✳✶✷✯❘❜✼❷❃ ◆✣✳❚✳❬✵❇✳❈✺❖✼❅✷✯✾✣❃✚✹✿✵◗✱✭❀★✷✯❁✿❀✔✷❅❁❇❃✣✳✶❘❫❁❖✺◗❲❬✱✣✷❳❀★✺★✵✿✳✶✱✣✼❷❑✣❑❜◆ ❁ ➌❻✱✣✷❳✺✿✱ ❏❃✴◆✘✹✻✺❖✼❅✾✣✹✿✵◗❀★❁✿✹✍✷❅❃❙✼❳✳❚❁✿❘❤❀❉◆✣✳❚✵❇✳➏✺❖✾✣❦✴❀★✹✍❀ ❷❀✖✺❖✵✿✷❅❣❜❀★✼❅❄⑧✳✶❃✴◆❙❀✽➍⑧✺❖✷❅❀★❃✘✵✿✼❅❄➈✬ ✮✖⑤✭✬❻✹❇➁✘✳✶✾✣✵◗■✣✷❅✹✩■✴▼✏❑❤❄✹◗❀✚✳➏✵✿❃✘✱❏✾✣✳❚❲✚✵❂❦✴❄❜❀★❑❤❁❻✾➷❑✶▼❹✳✶❁◗✺✽❀❛❑❤❃✣✵◗❑ ✹◗✵✿❁❇✳❚✳❚✼❅✼✯✷❅❑✣❃➈✺★✵◗✳❚✹✖✬✻✵✿❀❛➃s✳❬❑❤✾✣❃✘✹◗✾✣❀★❲✚✱✣❑❜❦✴✼❥❀★◆❺❁✻✹❂❑❚❑❜▼❹❁❻⑥▲■✣✾✣✼❳✳❤✵✿✺❖❑❜❀✔❲⑧✹❂✳❚❑❚✵✿▼✒✷❳✺▲➌❩●③❑❜❁❀✔❫✼✯❅❀★❲⑧❁❉✳❴❪❄➏✳❜❦❏✺◗❀✚✱✣✷❅✺❖❃✣✼❅❀★✾✣✹ ✹◗✵✿✏❀★⑥✒❁◗❀✖●✻◆➫❪ ✹✿✹ ❑✚✍✵◗✷❅✱❏❃ ✳✶✵▲✳❬✵✩❘❤❄➈✷❅■✭❣❜❀★✷❥✺✔❃✳✶✼❅❁✿✼❅❀✔❄❙❘❤✷❅❑❤❑❤❃✭❃➫❀❉✹✿⑥✒❑●✻✳✶❪ ✹✍✵◗✷❅❑ ✹ ❁✿❃➈✳✶✷❅✹✿✾✭❣❤✹◗❲✚❀★✷❅❘❤❁◗❦❏✹✖❃✣t✣❀★❀✖❁✍✳❚◆❬❃❏❑❚■✴◆✚▼❩❀★⑥✒✱✣❁✻✷❅●✻✺❖❘❜✼❅✱➈❪ ✾✣➌❻✹◗✵✿✹✍✳❴❀★❄✘❁❴■❏✹✢✬❩❀✔➌❻❁❛●❻✱✣✱✭◆✘✷❳❀❼✷❅✺✿✹✿✱❫✵◗✺✽❁✿✼✯✺★✷❳✾✭✺❖✳✶✹✿✵✍❃❫✵✿❀✔▼✏✳❁✿❑❜✷❅❷❁✿❃✣❲❬❀✖❘❏✺❖t✘✷✯✵✸❃✭✱✭⑥✒❘✚❑✶●✻➌❩✵✿✱✣❪❀★❀✚❣❜❀★✳❜❁◗❁✖❀★✺★t✭❘❤✺❖❲⑧✷❅❀★❑❤✹◗✳❴❃❽✹✿✷❅❄❉✬❦✣❦✴✷❅➒❼✼❅❀❛✷❅✵✩✷✯❄➈❣❜✺❖✬❽❑❜❀★❃❃✣⑥❂✹✿✹◗◆✣✵◗✾❏❁❇◆❺✳❚✺◗✷✯✱➅✷✯✵◗❃✭✷❅❑❤❀✖✺❖❃❏◆❬❑❤✳❚❃✣❦➈✼❏✹◗❄➏✵✿✺❖❁❖❑❤▼✩✳✶❃✭✳❤✷❅✹✿✺❖❃✘✵✿✵◗✵✿❁❖❑❤✹✖✳✶❁✿t❽✷❅✹❻❃✘✱✣✷❅✵✿❑✶❃✘✹✸➌✡❣❤❲⑧❑❜✺★✼❅✳❴❣➈✳✶❄❉✷❅❃➅❃✣✷❅❘✍❃✘✺❖❣❤✼❅✵◗✾✣❑❜✱✣✹◗✼❅❀❉✵✿❣❤❀★❀❻✼❅❁◗❑✣✷❅✼❅❃✣✺★✷❅❲❙✳✶❘ ✵◗✷❅✷✯✳✶✵❇❑❜✳❚✼❅❃✚❘❜✵✿❑❤✷❨❑✶❑❜❁✿▼✢❃✣✷❅✵◗❦✣✹✦✱✣❁✿❑❜❲❙✷❳❃❙◆✘✹❻❘❜✵◗❀★❦✴✱✣✹✖❀❀ t ❲❙❑✣◆✘✷ ❏❀✖◆✈✵✿❑✚✳✶✼❅✼❅❑✶➌ ▼✏❑❤❁❻✺❖❑❜❃✣✹✿✵◗❁❇✳✶✷❅❃✘✵✩✐✩❦❏✳❚✹✿❀✖◆✺✽✼✯✾✭✹✿✵✿❀✔❁✿✷❅❃✣❘➈❆ ➷đ ▲õ✿đ ✒ø✣ï ✻í▲đ✿ơ✲ú ✢ð✣÷✦ó ❶✸➀❻✼❅❑❜✾✣✾✣✹✿✹✿✵◗✹◗❀★❀★❁✿❀★✷❅✾✘❃✣➌❘➏❲❙❇✮❴❀✔①❤✵✿①❜✱✣⑤❑✣❂◆✘✹✒✩❥✼✍✱✴➀✻✳❴❣❤①❜❀❻✔⑤ ✫➣❦✴✬✢❀★●❻❀★❃❫✱✭❀❂✷❅❃➈❲❬✵◗❁✿❀★❑✣✵✿◆✘✱✭✾❏❑❺✺✽◆❺❀✖✹✒◆✚▼✏❑❜✷❅❃✚❁❹✹✿✺✽❀✔❑❤❣❤❲✚❀★❁❖❦✣✳✶✷❅❃✣✼❷✷❅✵✿❃✣❀✽❘❉④❺✵◗◆✘❦❏✷ ❑✘❷❑ ❀★➈❁✿❀★✹❴❃✘t✘✵▲✹✿✾❏❣❤✺◗✳✶✱❁✿✷❳✳✶✳❚③✹❦✣✼❅ ➈❀★✳✶✹❩✷❅❃❙✷❅❃✘✳❚✵✿❑➏❃❏◆❙✳➏❱▲✹✿✷❅✾✣❃✣❦✴❘❤✼❅❀★❀✍✹ ◆✘❇✷❅✮✖✹✿①❜✹✿✫❤✷❅❲❬✫ ❂✷✯✼❳✩ ✳❚ ➈❁✿❱✍✷❅✵✩✫❤❄✍✔✫ ❲⑧✫✿♥t ✳✶✼❂✵◗✳❚❁✿✷➐✾✘④✚▼✏❲❫➌❹✳❚✳✶✹❃❛❏✳❚❁◗❃❏✹✿◆ ✵ ■✣❁◗❑❤■✴✭❑❤❑❤✹✿❁✚❀❴◆❫■❏✳❚❦✘❁✿❄⑧✵◗✷✯✵◗❱▲✷❅❑❤✾❏❃✣✺ ✷❅❤❃✣❀★❘➷❁❻❀✔❲❬✵❂❀★✳✶✵✿✼✩✱✣✬ ❑✣❇◆✘✮❴✹❴①❤t✸♠❤❞❜✵✿✱✣❆ ➏❀➷✩ ❸❜❉✐✩✫③❲❙✳✶❀✖❃✴✳❚◆❙❃✣✼❳✹❙✳❚✵✿✳✶❀★✼❅❁❻❘❤❑❜❀❖❁✿④✣✷❅✵◗✵✿❀★✱✭❃❏❲ ◆✘❀✖➌❻◆ ✳✶❦➈✹ ❄❛❏✼✍❁✿✹◗✳✶✵❙✾✘▼✏✷❅❲❫❃✘✵✿✳✶❁✿❑✣❃❙◆✘✳❚✾✴❃❏✺❖◆❙❀✖◆➪➀s❑❤❦➈✾✣❄✲✹◗✹✿❪❀★❀★✳❜✾✘✺★➌ →▲✾✣❖❀★✮✖❀★①❤❃ ①❜⑤ ❖✌✮✖✩❥①❜✼❂♠❤➀▲q ❛①❤⑤✔✩❡✫✿❪✬ ✳❜✺★♠❤✔q ✫✿t❻✵◗✱✣❀➷❸❜✐ ❲❙✉➇③❀❴④❺◆✘■✴❑❤❀✖✷❳✺❖◆✘✵❖✹❻✳✶✳✶✵◗✷✯✼❅❑❜❘❤❃⑧❑❜❁✿❪✷❅✵✿✱✭✳ ❲❙④✣✷✯✹✢❲❬✹✿✷❅✾❏⑦✖✺◗✳✶✱ ✵◗✷✯❑❜✳❚❃ ✹❹❷⑩✴✳✶⑥✍✼❅❘❜❪➑❑❤❁✿✷❅✳✶✵◗❃❏✱✣◆❫❲❧❶❻➌❻❿❷✳✶⑥✍✹✢➀❻✷❅❃✘⑥↕✵✿❁✿❑✣➌❩◆✘❀✔✾✴❁✿❀❉✺❖❀✖■✣◆✚❁◗❦✘❑❤■✴❄✚❑❤❿✦✹◗✳❚❀✖◆❬✾✣❁✿❦➈✷❅✵✿❛❄ ⑦✔❀★✼✍❃ ✳✶❖✾✘✮✖▼✏①❤❲❫①❜✳✶❞ ❃✚✔t❤✳✶✳✶❃❏❃❏◆❫◆➏➀s✵◗✱✣❑❤❀✻✾✣❸❜✹◗✹✿✐✩❀★❲❙❀★✾✘❑✣➌◆✘❀❻❖✳✶✮✖✼❅①❤❘❤①❜❑❜⑤ ❁✿✷❅✌✵✿✱✭✩❥✼❂❲➋➀▲➌❹①❤❶⑤✳❚✫✿✹✒✬✢■✣●❻❁✿❑❜✱✣■❏❀❉❑❜➇✒✹✿❀✖❪ ◆ ❦✘❵❜❄⑧✾❏✳✶➃s✼❅✷❅✾❏✵✩❄❛✳✶❃✣✳❚❘❃❏◆✚❇✮❴❀❖①❤➍⑧①❜✫✺✽✷✯✌❀✔❃❏✩ ➃s✺❖❄✚✾❏✳❤❑✶①❜▼✦✔✫ ✵◗✫✿✱✣✬✒❀✻r❻✹❖❘✚✳✶❲❬✳✶❃❏■✣◆❫✼❅✷✯❃✭➃✻❘✶✳❚✐✩❃❦❏✳✶❖✹◗✮✖❀✖①❤◆❛①❚❸➈❯ ✐✉✌❲❬✩❡r✻❀✖◆✘➃✻❑❤①❚✷❳❉❯◆➏✫③✺❖■✣✼❅✾✣❁◗❑❤✹✿✵◗■✴❀★❑❤❁✿✹◗✷❅❃✣❀✖◆❫❘➏✳✶❲❙❃❀✔✵✿✳✶✱✣✼❅❘❤❑✣❑❜◆❈❁✿✷❅❦❏✵✿✳✶✱✭✹◗❲ ❀✖◆❬✺✔✾✣✳✶✼❅■❏✼❅❀✖❑❜◆❙❃✚❶❻❁❇✳❚❿➎❃❏⑥❂◆✘❑❤➀❻❲❬⑥✍✷❅r✻⑦★❀✖➁❬◆➏➌❻✹✿❀❴✱✣✳✶✷❳❁❇✺◗✺◗✱❙✱✦✷❅✬✒❲❙➇ ■✭✹✿❁✿✵✿❑✶❀✔❣❤❁ ❀✔✹❩✵◗✱✣❀ ❀❖❇➍⑧✮❴①❤✺❖①❜✭✷❅❞❀★❑❤✟❃✘❁✒✵▲✩❡✱✭➇✽✹✿✷✯■❏❀✔✼✌❁❇✳❚ê✍✳✶✵✿❁❖✷❳①❤✺◗✳✶❞✔✱✣✼✦✫✒✷❳✳❜✺★■✣✺★✳✶❁✿✺❖✼✴❑❜❀★❲❙■❏✹◗✹✻❑❜❀★✹✿❲❙✵◗❀❉✱✣❀✔❑✣✵◗✵✿❀✖◆✘✱✣✺◗✹✖❑✣✱✣t✘◆✘❃✣✳✶✹❴✷❳❘❜❵❜t✘❘❤✾✣✹✿✼❅✾❏❀★❑❤✹✍✺◗❲❬✱ ▼✥❀★❑❤✳❚❁❇❁✸✳❚✹✻✵✿▼✏✜➀✾✣✷❅❣❤❁◗é❴❀♦✵✿✐✩✱✣✱✣✵✿❁◗❀✔✷❅❀★❁❂❀★❀❉❁❇✷❅✳❚❲❬✳✶❁❇❃❏✺◗■✣✱✣◆✈❁✿✷❳❑✶✺★▼✏❣❜❑✣✳✶❀★✼❷✺❖❲❙✾✭✺❖✼❅✹✿❀★✾✣✷❅❃✘❃✣✹◗✵✸✵✿❘✚❀★❑✶❁◗✵✿▼✒✷✯❀❴❃✭✺✿✵✿❘❏✱✭✱✭t✘❃✣❀❉❁✿✷❳❵❤❀✔■❏■✣✾✭❀✔❁✿❁✩❀★❀★▼✏✹✖❑❜✹◗✬ ❀★❁✿❃✘❲⑧✵✿✳❚❀✖◆❃❏✺❖❦➈❀❉❄✚❑❚⑥✻▼❩✵✿➒❈✱✭r✻❀❛➇✒❶❻➁❷❿❷t❜⑥✍✳✶❃❏➀❻◆❬⑥❂◆✘r▲✷❅➁❣➈✷❅✹◗✳✶✷✯✼❅❣❜❘❜❀❩❑❤❁✿✱✭✷❅✷✯✵◗❀✔✱✣❁❇❲❝✳✶❁❖✺◗✾✣✱✣✹◗✷❳✷✯✺★❃✭✳✶❘ ✼ ✺❖◆✘✼❅✷❅✾✣❁✿❀❴✹◗✵✿✺❖❀★✵✿✷❅❁◗❑❤✷✯❃✭❃✈❘❏▼✏t❻❑❤❁✢❁◗❀★✷❅■✣❲❙❁✿■✭❀✔✹✿❁✿❀★❑✶❃✘❣✘✵✿✷❅❀❴❃✣◆✲❘✻✵◗❦✘✱✣❄ị❀✻❱▲✺❖✼❅✾✣❢✩⑥✍✹✿✵◗r❻❀★❁✿⑥❛✷❅❃✣t♦❘✚➌❩❵❜❀✔✾❏❁✿❀✳✶✼❅✷❅✷❅✵✩❃✘❄❉✵✿❁◗❑❚❑❺▼ ◆❺✱✣✾❏✷❅❀★✺❖❀✖❁❖✳✶◆ù❁❖✺✿❦✘✱✭❄å✷❥✺✔✼✍✳✶✼❷✳✶✺❖✾❺✼❅▼✏✾✣❲⑧✹✿✵◗✳❚❀★❃➅❁✿✷❅❃✣✳✶❘➏❃❏◆❲❙❀★➀❻✵◗❑❜✱✣✾✣❑✣✹✿◆✘✹◗✹✢❀★❀★✷❅✹✒✾✘➌✵✿❑❉✷❅❇❃✘✮❴✵✿①❤❀✔①❜❘❤⑤ ❁❇✡✳❚✵✿✩ ❀▲✼✍✱✣➀▲✷❅❀★①❤❁❇⑤✔✳❚✫✿❁❇✬ ✺◗✱✣⑥✻✷❳✺★❃ ✳✶✼❷✷❅❃✘✺❖✼❅✵✿✾✣❀★❁◗✹◗❀★✵✿❀★✹✿✵◗❁◗✷✯✷✯❃✭❃✭❘❘ ➌❻✵✿✱✭✷❅✷✯✵✿✹✍✱ ◆✘◆❺✷❅❁✿✷✯✹◗❀✖✵❇✺✽✳❚✵✿❃❏✷❅❑❤✺❖❃➫❀❖✐✩❦❏✷❅❃❏✳✶✺❖✹◗✼❅❀✖✾❏◆➫◆✘❀❛✺❖✼❅♥♦✾✣✹✿❢✿✵◗➀❻❀★❶❻❁✿✷❅❃✣➃ ❘✴t❏✩♥❩✷❅✵◗✳❚❀★✼❳❁❇✳✶✳❚❃❏✵✿✺❖✷❅❣❤❀❴❀❉◆❁◗❢✩❀★✵◗✼❅❀★❑✣❁❇✺★✳❚✳✶✵✿✵◗✷❅❣❤✷✯❑❜❀❛❃✦➀st✣❑❜❀✖◆✘❁✻✾❏❑❜✺✽✵✿✷✯✱✣❃✭❀★❘⑧❁✍✳✶❃✣❃✴❑❜◆❃✣✱✣❶✸✷❅❀★✼❅✾✣❁❖✳✶✹✿✵◗❁❇❀★✺◗❁✿✱✣✷❅✷❳❃✣✺★❘❫✳❚✼③✾✣✺❖✹◗✼❅✷✯✾✣❃✭✹◗❘⑧✵✿❀★➃❻❁◗✷❅✷❅❃✣❀★❘❫❁❖✳✶❲❙❁❖✺✿❀★✱✭✵◗✷✯✱✣❀✔✹❑✣★◆✘t➎✹✖■✣✬✸❁✿●✸❑❜■❏❄➈❑❜■✭✹✿✷❥❀✖✺✔◆✳✶✼✦❦✘✹◗❄Ư✵✿✾❏ư✴◆❺✱✴✷✯❀✔✳✶✹❂❃✣✷❅❘✴❃ t ➀✻✳✶❃✴✳❚◆❙❲⑧➁✘✳ ✱✣➈✷❅❁◗❲ ✷❅✹✿✱✣❇❃❏✮❴✳❚①❤❃✦①❜✫t✘❂✳✶❃❏✩❡➒❉◆❫➀▲❿❷➁✣✷❅❣✘①❤❃✘❶✫ ✫✿❄ t➈➀❻❇✮❴➊✍①❤①❤❂❶ ♠ ✼ ✜✩❥▼✏ö❷❑❤➀▲❁❻❿✦✺❖✼❅①❤✾✣✔♠ ✹✿✫✿✵◗t✣❀★❶❻❁✿✷❅❃✣➆▲❘✚➀✻✺★➇ ✳❚✵✿✉❀★❶✸❘❜✼❅❑❤✾✣❁✿✹◗✷❳✺★✵✿❀★✳❚❁◗✼ ✷✯❃✭✳❚✵✿❘⑧✵◗❁✿➆❻✷❅❦✣✹◗✾✣✷❅❃✣✵◗❘❙❀★✹✖➀✻t✭■✣➇✢❁✿■✭❑❜❁✿■❏❀★❑❜✹◗❀★✹✿❀✖❃✘◆✈✵❇✳✶❦➈✵◗❄❙✷❅❣❤❀★➒❼✹ ✾✣★t✴✱❏■✣✳✣❁✿t❜❑❜➀✻■❏✳✶❑❜✹◗✹✿✵✿❀✖❑❜◆ ❘❤✷✩❦➈t➈❄❫✳❚❃❏➒✍◆✚✾✣➁✘✱❏✱✣✳✭✷❅t✣❲ ➀✻✳❚❇✮❴✹✿✵✿①❤❑❜①❜❘❤① ✷✩t ✳✶❃✴◆⑧✭❶❻❑❤❁✒➃s◆✘⑥❂❀★❪❃✭✹✿➇♦✷❅✵✩❿✦❄❜✐✉➇✒❦❏➊✍✳❚✹✿r➋❀✖◆✚❦✘✺✽❄❛✼✯✾✭✼❂✹✿✵✿✳❚❀✔❁✿❁✿❄✘✷❅■✣❃✣✷❅❘❉✹✖t✣❲❬➃▲❀★✳✶✵✿❃✦✱✣❑✣t✴◆✘✳✶✹❴❃❏t❤◆✡➇✢✼▲✹◗✵✿✾✣❀★❲⑧❁✸❀★✳❚✵❩❁ ✳❚❖✼✉✮✖✬ ①❤❇①❜✮✖① ①❜✌①❤♠ ✩❥✼❂✽➃✌✩❡✽➇ ✼✍✼✍①❤♥➁ ①❉ê❂✫✿✬ ①❜❉♠ ✫❏■✭❁✿❑❤■✴❑❤✹◗❀✖◆❙✳✍◆✘❀✔❃✣✹✿✷❅✵✩❄❜✐✉❦✴✳✶✹✿❀❴◆✚❱❂♥✸➁✣❶✸⑥✍r ✉❱▲❀★❃✣✹◗✷❅✵✩❄❤✐ ♥✸✺❖✼❅✳✶✾✣✹✿✹◗❀❴✵✿◆➅❀★❁❻➁✘❑❜■❏❁❇◆✘✳❚✵✿❀★✷❳❁◗✳✶✷❅❃✣✼✸❘❛❶✸❲❬✼✯✾✭❀★✹✿✵✿✵✿❀✔✱✭❁✿❑❺✷❅◆➎❃✣❘t❤✺★❑❚✳✶▼❹✼❅✼❅❀✖⑥▲◆❬■✣➊✻■✣✼❅■✭✷❳✺★✵✿✳✶✷❳✺❖✵◗✹ ✷✯❑❜✉❃✣➊▲✹✍❁❇➌❻◆✘❀✔✷❅✵✿❁✿✱➅✷❅❃✣❘❙r❻❑❜⑩❽✷❅❑❤✹✿✷❅❀ ❃✘❉✵✿✹✒✳❚✼❅●✢❘❤❑❉❑❤❁◗❢✿✷❅◆❺✵✿✱✣❀★❃✘❲➫✵✿✷➐t❏▼✏❄➏✳✶❃✴✵✿◆➫✱✣❀❉⑥✻❶✸❃ ✼❅❜✾✣❀★✹✿❁✿✵◗✹◗❀★✵❛❁✿✷❅❀★❃✣✵➏❘➏✳✶➁✘✼✩✵✿✬ ❁◗❇✾❏✮❴✺❖①❤✵✿①❜✾✭① ❁✿❀✆✔✩✬❹⑥❂➃s➋♥ ✷❅✼❂❃✣❃✣➁✭❀★①❤❦✣❉① ✾✭✫❻❁✿◆✘❘✚❀★❣❤✳✶❃❏❀✔✼✯◆✚❑❜■❏✼▲❀❴❀★◆➅✷❅❲ ✳ ▼✏❇✾✣✮❴❃✴①❤①❜✺❖➒✍✵✿✫ ✷❅❁◗✆❑❤✷❳◆❜❃✭✩❡✜➃✐✉✹✖❦✴✬ ✼✍✳✶✹✿①❤❀❴❁✫ ◆✫❩■✣✺❖✼❅❁✿✾✣❑❜✹✿■❏✵◗❑❜❀★❁✿✹✿✷❅❀✖❃✣◆ù❘❫❱✍❲❬➇✒❀★r✻✵✿✱✣❶❻❑✣❿❽◆✘➆✻✹▲➇❻✱❏✳❴t✦❣❤✳ ❀❈❱❂❦❏❀★➇♦❀✔r❻❃➷✹✿✹✿✷❅✵✩✵✿❄❜✾✴✐✩◆✘❦❏✷❅✳✶❀✖◆✹◗❀✖◆➷❁◗❀✖✺❖❶❻❀★❿✦❃✘✵◗➆s✼✯❄✘✹✿✵❇t❷➇ ➌❻❁✿✷❅✷❅✵✿❃✣✱➷❘✳➏❲❬▼✥❀★❀★✵✿➌➋✱✣❑✣✷❅◆❃➈✵◗❦❏❀★❁✿✳✶❀✔✹◗✹✿❀✖✵✿◆➷✷❅❃✣❑❜❘❃ ✳❚✼✯✳ ❘❜❑❤✹✿❁◗❀★✷✯✵❉✵◗✱✣❑❚❲❙▼❂✹❻◆✘❀★■✭❃✣❁✿✹◗❑❤✷❅■✴✵✩❄ ❑❤✹◗◆✘❀✖✷❅◆❷✹◗✬➏✵✿❁✿➁✘✷❅❦✣●❻✾✭❢✿✵✿r✻✷❅❑❤➒ ❃ ✉❇➁❺✮❴①❤● ①❜✳❚q ✵✿✌✷❅✹✿✵◗✩ ✰ ✷❳✺★✳✶✁❼✼✍❪❢✿r✸①❜✔q▼✥❑❤✫➣✬❽❁✿❲❫✰➅✳✶✳❴✵◗❣❤✷✯❑❜❀❴❃ò❶✸✼✯➒✍✾✭✹✿❁◗✵✿✷❳❀✔◆ ❁❩✚✷❅✹❻✷❅✹⑧✳❉✳ù❲✚❘❜✾✣❁✿✼❅✷❳✵◗◆❜✷❨✐✩✐✩❁✿❦❏❀✔✳✶✹✿✹◗❑❤❀✖✼❅◆✾✣✵◗✷❅❲✚❑❤❃❛✾✣✼❅✺❖✵✿✼❅✷➐✾✣✐✩❁✿✹◗❀★✵✿✹◗❀★❑❤❁◗✷❅✼❅❃✣✾✣❘❙✵◗✷✯❑❜✳✶❃ò■✣■✭✳❚❁✿■✣❑➈■✣✳❜❁✿✺◗❑✘✱❙✳❤➌❻✺◗✱↕✱✣✷❳■✣✺◗✱❙❁✿❑❜✵◗■❏❁❇❑❜✳✶✹✿❃✭❀✖✹✩◆➪▼✏❑❜❁✿❦✘❲❙❄✲✹♦✰➅✵✿✱✣✳✶❀✍❃✣❑❤❘✴❁◗③t ✷❅❘❤✁❹✷❅❃❏✳✶❃✣✳✶❘✴✼❺▼✏t✻❀✖✳✶✳✶❃✴✵◗✾✣◆✇❁✿❀✍❪❫✹◗■❏✾✭✳❤❃➈✺❖✵◗❀⑦ ❦✘❦✘❄➅❄ ➌❻✏⑥✻✳❴❘❜❣❤❁❇❀★✳❴✼❅❀★➌❻✵➏✳✶✵✿✼▲❁❖✳✶❀★✵❃✣✹➣✳✶▼✏❑❤✼✩✬✡❁◗❲ ✮✖t✒①❤◆✘①❜❀✔✫ ❣❤✔❀★t❻✼❅❑❤✷❅✹⑧■✴❀✖✳✶◆ ❃ ❦✘✷❅❃✘❄➅✵✿❀★➁✘❘❜✱✭❁❇❀★✳❚✷ ✵✿➈❀✖✱✭◆❷❑❤t✍✼❅❀★◆✘✹✿❀★✼❳✳❚❃✭❲❙✹✿✷❅✵✩✷✩❄❜t③✐✉❶✸❦❏✱✴✳❚✹✿✳✶❀✖✵✿◆↕✵◗❀★❁✯✳✶⑨✽❃✴❀★❀◆ ✳✶❘❤❃✴❁◗✷❥◆å◆➈✐✉ö✴❦❏✱✴✳❚✳✶✹✿❀✖❃✣◆➪❘ ✺❖❇✼❅✮❴✾✣①❤✹✿①❤✵◗✫❀★❁✿➏✷❅❃✣✩❡➁✣❘ù❶❂❲❙ö❷①❜❀★✵◗✫❉✱✣✫✿✬ ❑✣◆ù❶❻▼✏❿❷❑❤❢✿❁❙→✍✺✽➆✻✼✯✾✭➇❻✹✿t✸✵✿❀✔◆✘❁✿✷❅❀★❃✣❣❜❘ ❀★✼❅❑❤✱✣■✴✷❅❘❤❀✖◆✱ ◆✘✷❅❲❙●✸❀✔❃✣❄✘✹✿■✣✷❅✷❳❑❤✺★❃✴✳✶✳✶✼❜✼❷❲❙◆✣❑✣✳✶◆✘✵❖❀★✳✣✼➐✬ ✐✩❦❏✳✶✹◗❀✖◆✍❲❙❀✔✵✿✱✣❑✣◆✘✹✢✷❅❃❏✺❖✼❅✾❏◆✘❀✸✵✿✱✭❀❩✹◗✵❇✳✶✵◗✷❅✹✿✵✿✷❳✺★✳❚✼❏✺❖✼❅✾✣✹◗✵✿❀★❁◗✷✯❃✭❘❼✳❚■✣■✣❁◗❑➈✳❤✺◗✱✚✳✶❃❏◆❼✵✿✱✣❀❻❃✣❀✔✾✣❁❇✳❚✼✣❃✣❀★✵✩➌✸❑❤❁ ❛✳✶■✣■✭❁✿❑➈✳❜✺◗✱✦✬✦✰➷❑❜❁ ✘✹ ❑✶❇✮❴▼❷①❤✵✿✫❜✱✭q ❀❻▲✹✿✵❇t✣✳❚❶❻✵✿✷❅❿❷✹✿⑥❂✵◗✷❳✺★➁✭✳✶➁✘✼❷❢✩●✇✺❖✼❅✾✣❦✘✹✿❄❙✵◗❀★➒✍❁✿✷❅❃✣❀✔❃✣❘➏❃❏✳✶✳✶■✣❁◗■✣✷✩t✣❁◗❑➈❿✦✳❜✳✶✺✿❃✭✱➏❘❤✼❅✷❅❀★❃❏❄❙✺❖✼❅✾❏✳✶❃✴◆✘◆❀❻⑥▲❽✾✣✷❅✹✿✵✿✱✣❑✘❀★❶✸❁ ✼❳❖✳✶✮✖✹✿①❜✹♦✫❤❦➈① ❄➏✌❶✸✩❡➒❉✱✣❿❀★❀★✢✹◗✫❜❀★❲⑧✔① ✫➣✬✢✳❚❃❙➁✘✵◗✳✶✾❏❃❏◆✘◆➏✷❅❀★➁✘✹❻✵✿❑✶✾✭▼✢✵✿⑦ ✵✿✱✣❖❀✍✮✖①❜❃✣①❤❀✔♠ ✾✣③❁❇✳❚✩❡❶❻✼✦➁✣❃✣①❤❀★❁♠✵✩➌✸✫➣t❜❑❤❶❻❁ ⑧➊❂♥♦✳❚■✣✰✇■✣❁✿➇✒❑✘♥ ✳❤✺◗❦✘✱❙❄ ✷❅❃❏❽✺✽✷❅✼✯✹✿✾✴✱✣◆✘❀✔❀❁ ➁✣➊✍❪ ➊▲✾✣✥✵◗✹✿✼✯❀★✷❅✼➐❀★▼❳❁✻✐✩❑❤◆❺❁◗❀★❘➈✵✿✳✶❀✖❃✭✺✽✷✯✵✿⑦✔✷❅❑❤✷✯❃✭❃➷❘✍✳✶▼✏❃❏❀✖✳❚◆ ✵✿✾✣✳✶❁◗❃❏❀❉✳❚✼✯❲⑧❄✘✹◗✳❚✷✯■✹✻✢✺✔❦✘✳✶❃❄✷❦✴✼▲❀❛❑❤✱✭✺★✳❚❑❤✵✿❃✣❀★❀★❘❜❃ ❑❤❁✿❖✷❅✮✖⑦★①❤❀❴✫❜◆❋ ý ỵý ỵ t ỵý ý t t ỵ ỵ ý ỵ ý ✬ ❻ ● ✣ ✱ ❉ ❀ ✿ ✹ ❖ ✵ ✶ ✳ ◗ ✵ ✯ ✷ ◗ ✹ ✿ ✵ ❳ ✷ ★ ✺ ❚ ✳ ③ ✼ ✶ ✳ ✭ ■ ✣ ■ ✿ ❁ ✘ ❑ ❤ ✳ ◗ ✺ ❫ ✱ ❏ ✱ ✶ ✳ ▲ ✹ ❏ ❦ ★ ❀ ✔ ❀ ❃ ✿ ✹ ◗ ✵ ❏ ✾ ✘ ◆ ❅ ✷ ✖ ❀ ❫ ◆ ❅ ✷ ❃ ▲ ❱ ✯ ✷ ◗ ✹ ❇ ✵ ❚ ✳ ❏ ❃ ❖ ✺ ❖ ❀ ✳✶➀✻✹❈✳❚❘❤✷✯❃✘✱❏✵◗✳❴❁✿❣❤❑✣✳❚◆✘❃ ✾❏✺❖❇❀❴✮❴◆➫①❤①❜❦➈♠ ❄✪❽✷❅✼✻❃➈✵◗❃✭❁✿❑❤❑✣❁✿◆✘❁❉✾❏✳❚✺✽❃❏❀✖◆❙◆ ✳▲rs✼❅❘ ✷❅❃✣❇❀✖✮✖✳✶①❜❁✒①❤✳❚q ✼✯✘❘❜❑❤✩❥❁◗✼✍✷✯✵◗r✻✱✣①❜❲↕q✘t✙▼✏❑❜✼✍❁✒r✻❑❤✾✣①❜✫❉✵◗✼❅✫✿✷✯✬ ❀✔❁ ✣◆❺❑❜❀★❁✻✵✿❀✖✵✿✱✭✺✽✵✿❀❙✷❅❑❤◆✘❃❬❀★❣✘✾✣✷❳✹✿✳✶✷❅❃✣✵✿✷❅❘✍❑❜❃ ✷❅❲❙✳❚■✣❃❏✼❅✳✶✷❳✺❖✼❅❄✘✷❅✵❷✹✿✷❅❁✿✹❂❀❴◆✘✳❚✾✣■✣❃❏■✣◆✣❁◗❑➈✳❚✳❤❃❏✺◗✺❖✱✦❄✚t➎❑❚⑥✻▼ ❁✿✵◗❃✭✱✣✷✯❀✻❃✭◆✣❘❏✳✶t❷✵❖⑥▲✳✣❘❤✬✢❁❇➁✣✳❴✳✶➌❻❁❖✳✶✳❴✼✒➌❹✳❚✳❚❃❏❘❤✷✩◆ t ⑥✻◆✘✷❅❘❜❲❙❁❇✳❴❀✔➌❻❃✣✹✿✳✶✷❅✼✩❑❤t✣❃✴✳✶✳✶❃✴✼❷◆⑧◆✣✳✶❪ ✵❖✳❉❀★❘❤✷❅✷❳❃◆✣◆✘➊✍❑ ❿❷❖⑥❂✮✖⑩①❜①❤◆✣✫ ♦✳❚✵❇✷❅✳✚❃✘✵✿✺❖❁✿✾✭❑✣❦❏◆✘❀★✾✴✹❴✺❖✬ ❀✖◆✳✚◆✘✷❅✹❖✺❖❑✶❣❤❀★❁◗❄❜✐➣◆✘❁◗✷❅❣❤❀★❃❲❬❀★✵✿✱✭❑❺◆✈✵✿❑✚✷❳◆✘❀★❃✘✵◗✷❨▼✥❄✚❁✿❀★❘❜✷✯❑❜❃✣✹✻❑❚▼ ✳❚❃✣❑❤❲❫✳✶✼❅✷❅❀★✹✒✷❅❃❫✼❥✳❚❁✿❘❜❀❂❲✚✾✭✼✯✵◗✷➐✐ ✔➮❾➱✲■ ●✸■ ✖❑ ✞❇❊❋❯▼ ✒✌ ✚✔ ➡✹ ❙✻ ✏✎ ✼✔ ✾③ ✍✌ ✏Ñ ✓⑧❆❶ ✖⑦ ✴⑧ ✽✎ r✹ ✲✻ ✓✎ ✐✹ ☛✻ ✴✹ ✽✻ r✹ ✲✻ ✍✔ ✐❒ ✛ ❆✌ ➯✌ r✹ ✲✻ r✹ ✹ ✵✻ ✒✹ ✰✹ ✲✻ ✰✹ ✲✻ ✲✻ ✸✻ ❝❮ ❝✧✚❁➦✂✆ ✹ ✲✻ ✛ ➌✹ ✲✻ r✹ ✆✎ ✞✹ ➔✹ ❙✻ ✽✻ ø✹ ✚✻ ✲✻ ➔✹ ❯✹ ✛ ❚✹ ✽✻ ✤✹ ❄✻ ✙✎ ✖✹ ✴✹ ✹ ✲✻ ✲✻ ✲✻ ❄✻ ✲✻ ✹ ✙✻ ✹ ✲✻ ✶✎ ✤✹ ✹ ✽✻ ✲✻ ✓✎ ❀✹ ✹ ✲✻ ✜✛ ➒✹ ✵✻ ❊✹ ➃✹ ✲✻ ◆✛ ❼☞✲✧✯➀ ❬✂✼❁ ❬◗☛★➃✂☛★✵✂✆ ✑✮ ➸✂➛✳✲✳✵☎✚◗❄✂✽✚❘ ➃✹ ❨✹ ✲✻ ✞✹ ✲✻ ✽✻ ➸✛ ✓✎ ✲✻ ✚❁✏✂✼❁ ✳✵☎✚◗❄✂✽✚❘ ✏✎ ✲✻ ✚❁ ✥❙✂✆ ✠✂➛✳✲✳✵☎✚◗❄✂✽✚❘ ❆☞ ✚❁✏✂☛★✵✚✧➛❳❙✬❙✂ ❄✧❙☞✞✂➛✳✙❳ ➃✹ ❨✛ ✈✻ www.elsolucionario.net ï www.elsolucionario.net ➛ ❻➞✒➟ ➪➛ ③➠➎➞✒➟ ❂➝ ♦➠ ✿➠ ❆❅❈❇❊❉ ❆❋❍●✸■ ❆❏❈❑ ❆❋✤❇ ✺❇▲❏◆▼ ✫❖ www.elsolucionario.net ❊❤♠ www.elsolucionario.net ✥Ï ẹé ểề ễ tự tỵ ỵỵý ◆❬▼✏❑❤❁❉◆✘❀✔❣➈✷❳✳❚✵✿✷❅❑❤❃ ◆❺❤❀★t✢✵✿❀✖■❏✺✽✳❚✵✿❘❤✷❅❑❤❀★❃ù✹❫✮✖✷✯❃ ♠❚❯ ✼❥❷✳❚✮✖❁✿❘❜♠❤❀①✭t✦◆✣⑩❽✳❚❑❤✵❇✳❚❁◗✵✿❦❏✼❳✳✶✳✶✹◗❃❏❀★◆➎✹✖✬t ▲➊ ❁◗❀★❘❤❑❜❃✦t✣⑥▲✾✣❘❤✾✣✹◗✵❛✮❴①❤①❤♠✭✬ ✩ ⑥❂➋ ♥ ✼✍➁✣①❤❁① ✫➪✹◗❪ ✵✿❁◗✬✘✾❏⑥✻✺❖✵✿❃ ✾✭❜❁✿❀★❀❤❁✿✬✸✹◗✵✖❢✩t❏❃ ❪ ✬➈♥♦❁✿❀★✾✭❃✣✷❅❘❏t✣✆➃❉ù✬ ✐✿⑩✢✬➂✼▲❁◗✷✯❀✔❘❤❀★✼✩t✣✳✶❃✴◆✚ ❏➋✬✘ù ➁✣✳❚❃❏◆✘❀★❁❴✬③➊▲■✣✵◗✷❥✔✺✽ÿ ✹✖❭❩➊▲❁❖◆✘❀★❁✿✷❅❃✣❘➏❚■✴t❏❑❤⑩✢✷❅❃✘✱✭✵✿✷✯✹✸✼❳✳❜✵✿◆✘❑➏❀★✷❥✼❅◆❺■✣❀★✱✣❃✘✷❳✳✣✵✿✷➐t✘▼✏❄➏⑩✴⑥❛✵✿✱✣t♥❀❉ ❜✾✣✺❖✼❅❃✣✾✣❀❙✹◗✵✿✮❴❀★①❤❁◗①❜✷✯❃✭①✣❘ ✬ ✩ ⑥✻➒❉➒❉➀▲①❤❉✫ ✫❂➀❈✬✣⑥▲❘❤❁❇✳❴➌❻✳✶✼✩♥t ✴✬❏➒✍❀★✱✭❁ ❤❀❜t❏❱➏✬❏➒✍✾✭❃✣❑❤■✣✾✭✼✯❑❜✹✖t✣✳❚❃❏◆❫⑩✢✬❏➀✻✳❚❘❤✱❏✳❴❣❤✳❚❃✦✬❽⑥✻✾✣✵◗❑❤❲⑧✳❚✵✿✷❳✺❻✹◗✾✣❦✣✹◗■❏✳❤✺❖❀✚✺❖✼❅✾✣✹◗✵✿❀★❁◗✷✯❃✭❘❙❑✶▼✒✱✣✷❅❘❜✱ ◆❺✷✯❲❬❀★❃✘✐ ✹◗■✴✷❅✳✶❑❤❘❤❃❏❀✔✳❚✹❂✼ ①✶◆✣❯ ✳❚✵❇✳❼✮❴⑤❤▼✏❞✣❑❤t❜❁✸➁✘◆✣❀✖✳✶✳✶✵❖✵◗✳✍✵✿✼❅❲❙❀❤t✭✷❅✰➅❃✣✷❅❃✣✳✶❘❉✹✿✱✭✳✶✷✯■✭❃✭■✣❘❤✵✿✼❅✷❥❑❜✺✔❃✦✳✶t❆✵✿✷❅ ❤❑❜✾✣❃✣❃✣✹✖❀❬✬✴❢✩✮✖❃ ①❤①❜✫✣✬ ✆ù ự t t t ự ỵý ỵ ỵ t trs tr t ✫ ❲❬r❈✬❷❀★✵✿♥✒✱✭❀✖❑❺✺ ◆ ✘❲⑧▼✏❑❤✳❚❁✸❃✣■✴❃✦❑❤t❷✷❅❃✘➃❉✵✿✬✹✻✐✿⑩✢✳✶❬✬❃✴✼✻◆✚❁◗❁✿✷❅❀❴❀★✺❖❘❤✵❇❀★✳❚✼✩❃✣t❷❘❤➀❉✼❅❀★✬❷✹❴➁✣✬✒✺◗❢✩✱✣❃ ❃✭❀★✷❳◆✘❀★❁✖t✢✳✶❃✴◆♥✻✆✬❷ù ➁✘❀✔❀★❘❤❀★❁❴✬➏●❻✱✣❀ ✌➀ é✔✐✉✵◗➋❁✿❀★ù ❀❜❭✻⑥▲❃ ❀❖➍⑧✺✽✷✯❀✔✔❃➈ÿ ✵❉✳❚❃❏◆❫❁✿❑❜❦✣✾✣✹◗✶✵❼t✣✳❜■✴✺★✳✶✺❖❘❤❀★✹◗❀✔✹✹ ❊❜❋❤❋ ❺❊❤❊✭✮❤t❜⑥❻✵✿✼❳✳✶❃✘✵◗✷❥✺▲❶✸✷❅✵✩❄➈t✣r ❏♥t ❤✾✭❃✣❀❙✮✖①❜①❤⑤✭✬ ✩❡❶❻➁✣①❤❁♠ ✫ ⑩✢➒✈✬❷✬✒❶✸⑩✢✱✣✷❳✳✶❀✔❀★✵✿❀✔✹✿❀★✵✿✹❲❫✘✳✶❄❜❃➷✐✿➁✘✱❏✳✶❃❏✳✶■✭Ö◆ ✷✯❁◗ ❏❑❏✬✦t✸➁✘⑩✢✵◗✾✣✬✒✵✿➁✘⑦❜❲✚✬❛❄✘♥✸✵✿✳❴✱✦❄❤t✸❀★✹◗✳✶✷❥❃❏✳❚◆ù❃ ➀❉✺❖✼❳✳✶✬✒✹◗➆❻✹✿✷ t t ýỵ ỵý t ỵ ỵ t t t t tễ ờự ỵý ỵ ỵ t ttt t t ờờ ỵ ý ý tq t ⑩❽❑❜❁✿✵✿✼❳✳❚❃❏◆❷t✣❪✳❚✷✯❃✭❀❤t✣⑥▲✾✣❘❤✾✣✹◗✵❉✮✖①❜①❤❞✣✬ ✩ ❽✷✯✹❖✫❤❁q ✫ ❱➏➁❺❀✖✬ ✳✶❽✵◗✵✿✷❅✹✿✼❅❀❤✱✭t✣❀★✰➅❁✖✬✴✳❚❢✩❲❙✹✿✱✣■✭✷❅❃✣❁✿❑✶❘❜❣✘✵✿❑❜✷❅❃✣❃✦❘❻t❋ ❜✷❅❃✘✾✣▼✏✼❅❀★❄ ❁◗❀★✮❴❃❏①❤✺❖✫❤❀❻q✭✵◗✬ ✱✣❁✿❑❜✾✣❘❤✱❙✺❖❑❜❃❏✺❖❀★■✭✵✿✾❏✳❚✼ ✺❖✼❅✾✣✹◗✵✿❀★❁◗✷❅❃✣❘❏✬✴❢✩❃ ự t t ỵ ý ỵ ỵ ✺✔❚✳✶t✭✵✿✷❅■❏❑❜✳✶❃❛❘❜❑❚❀★▼✦✹❉✱✣✮❤✷❅✮❴❀★✫ ❁❇❷✳❚❁❇✮✖✺◗❋❤✱✣❊✭✷❳t➈✺★✳✶❪ ✼✦❑❤✺✽❃✘✼✯✾✭✵✿❁◗✹✿❀✖✵✿❀✔✳✶❁✿✼✩✷❅t✣❃✣❶❻❘❤✹❴✳✶✬✢❃✴✳❤❢✩❃ ◆✣✳✭t❤⑥▲✾✣❘❏✶✬❽ý ✮✖①❤①❜❞✣✬ ➋ù ✩❡➒❉❿ ✢✫❜❉① ✫ ✴✬❏➒✍❀✔❃✣❃❏✳✶❁◗✷✩t❏⑩✢✬❏❿❽✳✶❃✣❘❜✼❅❀★❄➈t✣✳❚❃❏◆❫❱➏✬ ỵ ỵ ỵ t t tt ◆ ❂✼❛ù ✬✴➁✘✱✣✷❅❲ ✬❽❶✸✾✣❁✿✔❀❤ÿ ❭♦⑥✻❃❫❀❖➍⑧✺❖✷❅❀★❃✘❚✵✍t✘✺❖■❏✼❅✾✣✳✶❘❜✹✿✵◗❀★❀★✹❂❁✿✷❅q❜❃✣❊ ❘❙✣✫✶✳❚❯❏✼✯❘❜t✘❑❤➁✘❁◗❀✖✷✯✵◗✳❚✱✣✵✿✵◗❲✡✼✯❀❜▼✏t✣❑❜✰➅❁❩✼❳✳✶✳❚✹◗❁✿✱✣❘❤✷❅❀❉❃✣❘❤◆✣✵◗✳❚❑❤✵❇❃✦✳❚t❆❦❏ ❤✳✶✾✭✹◗❀★❃✣✹✖❀❙✬♦✮✖❢✩①❜❃ ①❤✫✭✬ ✆ù ✩❡➒❉➀✻➁✭①❤❉① ✫ tt ỵ ỵ t t t t ự ự ỵýỵ ỵ ttrs t r t q ✄ÕĨ☎❙◗✼❍❮❈ü➐Ư❩Ư❾×✞ư✩★✫❁✿❮ ✙✎ ❖❮ÙØ➙✂✼❁✏✂❦Ơ Ĩ◗✆★✩❱ ❲ÕĨ☎❙◗✼❍❮❆ü➐Ư❾Ư❩Ư❃Ý ✜Ú❀★✵◗☛Ư❈ ✶✧✚☞✼✪✲✧✘Ø ⑩❱ ➏➹❯Ø×ư✩★❚❁✪❮ ✙✛ ❖❮✱Ú❀★✵◗✆Ư❈ ✄✧✚☞✼✪✲✧✏Ø ❇Ø➙✂✼❁✏✂➯Ơ Ĩ◗✆★✩❱ ⑤Ü ✡★ ✁★✫✪ ❹✛ ❖❮➇Ú❀★✵◗✆Ư❈ ✄✧✚☞✼✪✲✧tØ ♥Ø➙✂❂❁❃✂➸Ơ ❄✚◗☛➀☛✧✩☎✩✮✜✂✆★✵☞ ◆✛ ệệịí qỉỉ ệì ỉ ệóò ếểỹ ĩ ⑩❱ ➏➹❯Ø❛ư✩★✫❁✿❮ ✖Ơ✞❳✿➬✸ư ✈Ơ ❖❮✱Ø❀✂✼❁✏✂➡ỊĨ★❚✪ ✓✎ ✁★❭✧❙✧✯☎ ✁★❚✪ ❖❮❯Ú❀★✵◗☛Ư❈ ✶✧✚☞✼✪✲✧✘Ø Ĩ◗✆★✩❱ ❖❮ ßÜ ✪❮ ✚❁✠ư✯★✫❁ ❖❮✣Ú❀★✵◗☛Ư❈ ✶✧❙☞❂✪✆✧ Ĩ◗✆★✩❱ ❬✂☛ ✙ư✯★✫❁❃✧✯ ✁ ✶✪✆✧✯★✵✚✧ ✡Õ✈☎❙◗✼❖❮ ➂Ü Ĩ◗☛★✯❱ ✖Ơs✂☛★✵✂❂✪✆✧ ❨✧✩★✫❁▲◗❃❱ Ĩ◗✆★✩❱ ❋ÕĨ☎✚◗❄❍❮❈ü➐Ư❾Ư◗Þ➃ư✩★✫❁✿❮ ✥Ø➙✂❂❁❃✂ ⑤Ü Ĩ◗☛★✯❱ ✱Ý❊☎✚❁ ❥Ĩ ❖❮ ✯✚◗✆➀❂✧✯☎✩✮❼✂☛★❭☞ ❆✛ ➇Ø ❬✂✆ ➙✂❂❁❃✂✽✬✚✂ ❄✧ ✙✛ Õ✈☎❙◗✼❖❮❆ü➄Ư❩Ư❾Ư❀ư✩★❚❁✪❮ ✏✎ ♠➚qÚ✥Ø❂Ø✼Û Ư◗ã➓➪ ✡★ ✁★✫✪ ➓Ü ü ❢Ø➙✂❂❁❃✂➾Ơ ✁❮âá❴✂✆☎✿✪✲✧❊➬✲✳✙✂✼❁ ❣✛ ☞Ú❀★✵◗✆Ư❈ ✄✧✚☞✼✪✲✧✘Ø ✁★ ✘ÕĨ☎❙◗✼❖❮❣ü➄Ư◗Þ❺ä➵ÝtÝ❂Ý❯ư ✙✛ Ø tØ❀✂✼❁✏✂ Ơ❦✂✆★✵✂✼✪✲✧ ➸✧✯★✫❁▲◗✿❱ ❄❙◗✆➀❂✧✯☎✩✮❝✂✆★✵☞ ✴✳ ✲✛ ❹✛ ❖❮ Ĩ◗☛★✩❱ ❤Ý❊☞☛➀☛✂☛★❭❙✧ Ĩ◗✆★✩❱ ❊Õ✈☎❙◗✼❖❮❣ÿ✫❁✥❘➸ư✯★✫❁✿❮✖➬✵✮ ✍✌ ❲ÕĨ☎❙◗✼❖❮❣ÿ❚❁❬❘❨ư✩★✫❁✿❮ ✩✻ ✟✞ ✼ÕĨ☎❙◗✼❍❮◆ý✲★❭☞❊ư✩★✫❁✿❮ ⑤Ü ✹ ❂Ø❀✂✼❁✏✂ ✓✎ ⑩❱ ➏➹❯Ø❛ư✩★✫❁✿❮ ✖Ơ✞❳✿➬✸ư ✈Ơ ✍✌ ✏✎ ❖❮ Ĩ◗☛★✯❱ ❣Ơs✂☛★❭✂✼✪✲✧ ❨✧✩★❚❁✺◗❃❱ ➂Ü ✁★ ✁★✫✪ ❲ÕĨ☎❙◗✼❍❮✠ü➄Ư❩Ư❾à❆Ý ⑤Ü ỉỏử ễử ểễ qỉỉ ệịò ỉễ ỉ Ĩ◗☛★✯❱ ✖Ơs✂☛★✵✂❂✪✆✧ ❨✧✩★✫❁▲◗❃❱ ✖Õ✈☎❙◗✼❖❮♦ü➐Ư❩Ư⑩Þ❆Ý ⑩Ü ◗Ü ❄✚◗☛➀☛✧✯☎✩✮ ❖❮ ✖Ơ✞❳✿➬✸ư ✈Ơ ✏✎ Ĩ✛ ✡➚qÚ✥Ø❂Ø♠Û Ư❩×❪➪ ✁★ ✁★❚✪❦✂✆★✵☞ ➂Ü ✜Ø➙✂✼❁✏✂❦Ơ ❄✚◗☛➀☛✧✯☎✩✮s✂☛★❭☞ ➏➚qÚ✦ØtØ♠Û ệịò ĩ www.elsolucionario.net ỵ ỵ ỵý t t ỵ ý ự ý ỵ t tự tt qt r sỵý rs ỵ ỵ t t rs ttự ❘❤✾✣✹◗✵ ✮❴①❤①❜q✣✬ ✩❥✼✍r✻①❤✫❁✫ ➇sù ✬ ✼▲❃✣❑❤❁◗❁✻✳✶❃❏◆❬➀❉✬✣rs❘❏✬✢⑥✻✼❅❘❜❑❤❴❁✿ý ✷❅✽✵◗ý★✱✣t✣❲❙■❏✹✢✳❚❘❤▼✥❑❤❀★✹✻❁✸❊❜❲❙①❤✷❅❋ ❃✣✘✷❅❃✣❯➈⑤❜❘❉❊✣◆✘t✘✷❅r❻✹✿✵❖❀★✳✶➌ ❃❏✺❖✁❩❀✽✐✉❑❤❦❏❁ ✳❚❷✹✿t✣❀✖➋r◆ ✁ ❑❤✾✣t✭✵◗⑥✻✼✯✷❅✾✣❀★❁◗❘❜✹❻✾✣✹✿✷❅❃❙✵❉✮❴✼❳✳✶①❤❁◗①❜❘❤✫✣❀❂✬ ◆✭✳✶✵❇✳❚✹✿❀★✵◗✹✖✬♦❢✩❃ ✩❥✼▲❑❤✱❏✫❜❋❉✫ ●❉❯✘❊✣❂✬ ❭❡❞❤✼▲① ❑❤❺✱✭♠❜❑❤①✣❃✣t✣❀★✮❴❃❽①❤✫❤✬❧❋✭✬➁✘❀★✼➐▼❳✐✩❑❤❁◗❘➈✳✶❃✭✷✯⑦✔❀✖◆ ▼✏❑❤❁◗❲⑧✳✶✵◗✷❅❑❤❃➷❑✶▼➏✵✿❑❤■✴❑❤✼❅❑❜❘❤✷❳✺★✳✶✼❅✼❅❄➷✺❖❑❤❁◗❁✿❀✖✺❖✵ ▼✏❀✖✳✶✵◗✾✣❁✿❀ ❲⑧✳✶■✭✹✖✬ þ þ ✟ù ✩þ ✽ý★t ✩❥✼✍➀✻①❤⑤❁✫ ✉þ ➳ù ❜ý ❴ý★þ❅ý★❂✬ t s ỳỵ ỵ ýỵ ỵý ỵ ý ýỵýt t ự ỵ q ỵý t qtq r ự rs ý ýt ttt ttr ự ỵ ý ❚t✭■❏✳✶❘❜❀★✹❉✮✖♠❜✫ ❷✮✖✫❤❋✭t❤②✸✳✶✼❅❀★❃❏✺❖✷❳✳✭t➈➁✘■✴✳✶✷❅❃✦t✣❪✳❚❁❇✺◗✱➅✮✖①❜①❤✫✭✬ ✩❡➁✣❶❂ö❷①❤✫❁✫ ➒✈✬✦➁✘✱✣❀★✷ ✘✱✣❑❜✼✯❀✔✹✿✼❳✳✶❲❬✷✉t✴➁❷✬❷❶✸✱❏✳✶✵◗✵✿❀★❁❅⑨❖❀★❀❤t✒✳❚❃❏◆ ⑥❛✙✬ ö✴✱❏✳❚❃✣❘❏✬➏✰➅✳❴❣❜❀✖❶✸✼❅✾✣✹✿✵◗❀★❁✖❭▲⑥❝❲✚✾✣✼❅✵✿✷➐✐✩❁✿❀★✹◗❑❤✼❅✾✣✵◗✷✯❑❜❃⑧✺❖✼❅✾✣✹◗✵✿❀★❁◗✷❅❃✣❘ ✳✶■✭■✣❁✿❑✘✳❤✺◗✱ ▼✥✁✸❑❤❑❤❁✻❁ ❷❣❜❀★t✣❁✿r■❄ ✁ ✼❥✳❚t✣❁✿⑥▲❘❜❀❛✾✣❘❤✹◗✾✭■❏✹✿✳✶✵❉✵◗✷❥✮✖✳❚①❜✼③①❤◆✣✫✭✳❚✬ ✵❇✳❚❦❏✳✶✹◗❀★✹✖✬❈❢✩❃ ✜ù ý ❖ý★t❷■❏✳❚❘❤❀★✹✍❯✘❋❤✫ ✘❯➈❊❜①✣t❏rs❀★➌ ✩ ✰ä✁❼❪ ①❤q❉✫❧✰✞✬✢✰➅✳✶❃✣❘✴✽ ❲❬✷❅❃✣✷❅❃✣❘❏✬❷❢✩❃ t ❏✲✬ ✁❻✳✶❃✣❘✴t❩✳✶❃✴◆ị➀❈➋ù✬✒❪❫✾✣❃✘✵✿⑦❜✬✲➁✘●❻❢✿r✻➒✚❭❫⑥❾✹◗✵❇✳❚✵✿ý ✷❅✹✿❖✵◗ý★✷❥t✣✺✔■✴✳✶✼✻✳✶❘❤✷❅❀✔❃✘✹❉▼✥❑❤✮✖❁✿✫❤❲❫♠ ✳✶✵◗✮❴✷✯①❤❑❜❞✣❃ t❜⑥❻❘❜❁✿✵✿✷❳✱✭◆➅❀★❃✣✳❚✹✖■✣t✴■✣➒✍❁◗❑➈❁✿✳❤❀✔✺◗❀✖✱ ✺❖❀❤✵✿t✴❑➷⑥✻✹◗✾✭■❏❘❏✳✶✬✦✵◗✮❴✷❳✳✶①❤✼✻①❜q✣◆✣✬ ✳❚✵❇✳ ✩❥ư❷➀✻❿❽①❤❉♠ ✫ ●❉❬✬ ö✴✱❏✳❚❃✣❘❏t❷➀❈✬❏➀✻✳❚❲⑧✳ ➈❁◗✷❅✹✿✱✣❃❏✳❚❃✦t✣✳✶❃✴◆❪➷✬❷❿❷✷❅❣✘❃✘❄➈✬❻♥♦❢✿➀❻❶❻➃❉❭✻✳❚❃❀❖➍⑧✺❖✷❅❀★❃✘✵❂◆✭✳✶✵❇✳❬✺❖✼❅✾✣✹✿✵◗❀★❁✿✷❅❃✣❘❫❲❬❀★✵✿✱✣❑✣◆✈▼✏❑❜❁✻❣❤❀✔❁✿❄✼❳✳✶❁◗❘❤❀ ◆✭❶❻✳✶✳❚✵❇❃❏✳❚✳❤❦❏◆✭✳✶✳✣✹◗❀★♥t ✹✖ ❤✬ù✾✭❃✣❢✩❀❙❃ ✮✖①❜①❤♠✭✬ ✆ù ✘ù ✔ÿ ✶t✒■✴✳✶❘❤❀✔✹✮✖⑤❤❊ ✮❜✮★❯❏t✢❪❫❑❜❃➈✵◗❁✿❀✖✳❚✼✩t ✩➼❖✟✩Ĩ❏❴❖ www.elsolucionario.net ❦Õ Ø❀✂✼❁✏✂➯Ơ ♥Ú❀★✵◗✆Ư❈ ✄✧✚☞✼✪✲✧✥Ø ✡★ ✁★✫✪✜✂☛★✵☞ ✬➹✈Ơ✼Õ❆➶❯å♦Ị➘ỉ ❲❁❬❘ ◆❱❄◗✆☎ ❃Ø➙✂❂❁❃✂ ❆ ✑❩ ✚❁✏✧✩☎ ✡★✫✪ ➂Ü ✑✌ Ú❀★✵◗✆Ö❈ ✄✧✚☞✼✪✲✧♥Ø ❖❮ ⑤Ü ❄✚◗☛➀☛✧✩☎✩✮ ❯Ý❊ ❹✪✲◗☛☎ ♦Ø➙✂❂❁❃✂✭Ơ ✡➚qÚ✥Ø❂Ø✼Û Ư⑦ä✪➪ ❄✚◗☛➀☛✧✯☎✩✮✰✂☛★✵☞ ❢á◆✂☛☎✿✪✲✧✏Ø➙✂✼❁✏✂ ➽ Ĩ◗✆★✩❱ ❀÷❭✧✩☎✩✮ ✓✎ ➽ ✡❱❈☎❙◗✆❩✼✳ ✁★✵☞ ✡★✫✪ ✕è ➽ ✚Ø❀✂✼❁✏✂✚Ý❊★✵✂☛ ✍✮ ✁❮ ➄❮ ✧✯☎✚Õ✆✧✯ ✄✧✯✮➡➬✵✮ ✴✳ ✖Ơs✂❂❁❬❘ ✖➬✙❁✏✂✼❁ ❖❮ ❢á◆✂☛☎✿✪✲✧✏Ø➙✂✼❁✏✂ ➽ Ĩ◗✆★✩❱ ❀÷❭✧✩☎✩✮ ỉỗử ếể í ❆ ✍❩ ❙❁✏✧✯☎ éÕĨ☎❙◗✼❖❮❢ã☛❁✥❘ ßÜ ➦ÕĨ☎❙◗✼❖❮➼ü➐Ư❩Ư✯ÿ✞ư✩★✫❁✿❮ ◗Ü ✂ ❄✧ ❅Ø➙✂❂❁❃✂✽✬✚✂ ❄✧✼å❣✧❙➛❘✸★❭◗☛ ✄◗➛✪☛✮✕➚✿ỊâØ ệị ếểểỹệệịử ếỹệệìí ỏỉ ể ❀÷✵✧✯☎✩✮ ◗❱ ❊➹➵Ø ✖Ơ❪❳✿➬✫ư ✈Ơ ✿❮ ư✯★✫❁ ❊Õ✈☎❙◗✼❖❮ ➂Ü ❖❮ ✚á◆✂☛☎❃✪✆✧❢Ø❀✂✼❁✏✂ ➽ Ĩ◗✆★✩❱ ❨÷✵✧✯☎✩✮ ✏✎ ❲ÕĨ☎✚◗❄❍❮✖ü➐Ư❾Ư⑦ä❊ư✩★✫❁✿❮ ❆✮✲✬✚✧✩☎✯★✵✧✚❁ ❬ Ĩ◗ ✴✳✵❩✽❁❃✂❂❁ ✥◗☛★✵✂✆ Ĩ◗☛★✩❱ Ĩ◗✿❱✴Ị❆✱✼❁❃✧✯★✵☞ ✁★✫✪ ✆✎ ✥◗☛★➃❁✏◗ ❬◗✆ ✄◗➛✪ ❬✚✂✆ ßÜ ✚❁ ể ếỹệệịử ĩ ếểểỵử ĩ ✁★ ✁★✫✪ ⑤Ü ➬✐❁❃✂❂❁ ❊❽❯❋❈❇❊❉❆❅❝▼ ✂ ❄✧ ❖❮ ➂Ü ✂ ❄✧ ⑤Ü ✘Ø❀✂✼❁✏✂ Ĩ◗✆★✩❱ ✺Ơ❦✂✆★✵✂✼✪✲✧ ➸✧✯★✫❁❪◗✿❱ ⑤Ü www.elsolucionario.net ❊❤✫ ✩❡➃❻✾❏✳❜①❤✫❁✫ ✩ ➈❱✍✫❤❁✫ ✫ ✩❥✼✍✜ ➃ ✼✍①❤①❁✫ ✩❥✼✍r✻①❤❁q ✫ www.elsolucionario.net ✁✄✂✆☎✞✝✟✂✆☎✡✠ ✸ ✵❤ ❤t ⑥ ⑥⑥ ✶✶ ✶✶ ➐✶ ➐➐ ➐➐ ➐➐ ➐➐ ➐➐ ❿❿ ❿❿ ❿❿ ❿❿ ❿❿ ❶❶ www.elsolucionario.net ☛ ✍☞✯✶ ✷✹✸✻✌✏✎✑✌✒✺✽✎✑✓✕✼✿✾✬✔✗✼❁❀❃✖✙❂❅✘✛❄❇❆✹❈❉✚✑❂❋❊●✜✒✢✤❆❇❍■✣✦✾❏✥★❂❋✾✙✧✩❑❏✚✪✢✬▲◆✫✭▼✬✖✯❄❇❊●✮✗❆❖❑✤✰✲❆❇✲✱✯✳✴✼❁✱✾✯◗●❆❇❍❘✾❙❂❅❄✬❚❯✾✙❂❋❄❇❱✤◗●❆❇◗❲❍❅❳❲❨❩❍❘✲❬✯❄✹✼❪❭❴❫✽❂❋❊❵❂❜❛★❝❘❞❵✼❉❡❵❊●◗✦✷✽✷✽✷❢✷✽✷✽✷❢✷✽✷✽✷✗✷❣✷✗✷✽✷❢✷✽✷✽✷✽✷ ✯✶✯✶ ✷✹✷✹✸■✸■✷❇✷♠❧✸ ❚★✺✐♥❘✼❁✾✬♥■❀●✼❁✼❁❀❵♥✤❂❋❄❇❂❋❆❇❊●❈✴❆❇❂❋❍■❊❥✾❏❆✹❍■❂❋✾✲✾✙❍■❑❏✾❏❂❅◗❥❬✬❊●❬✬❀❥❀❥▼❙❍❉❡❵❭♦❊●▼✯❆❇♣❀●✼✴❂❋❑✕❊●❆❇❑✬❍■✾❜❂❋❊❵❆❇❂❦✾✲◗❥❬❙✷✽❂❋✷❢❊❥❆❖✷✽❂❋❄q✷✗❂❋✷✽✾✙❑✲✷❢✷✽r✷✽▼✯❄✹✷❢❊❥❆❇✷✽r✷✽✼✴❑✤✷✽❆❖❂✽✷❢❑✬✷✽❂❋✷✗❊❵❂❢✷❣♥■✷✗✼❁✾✬✷✽✼❁✷✽❀❵❂❋✷❢❄❇❆❇✷✽❈✴❂❋✷✽❊❥❆✹✷❢❍■✾s✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✯✶✯✶ ✷✹✷✹✸■✸■✷♠✷ t❤ ✺✐✺✐✼❁✼❁✾✬✾✬✼❁✼❁❀❵❀❵❂❋❂❋❄❇❄❇❆❇❆❇❈✴❈✴❂❋❂❋❊❥❊❥❆✹❆✹❍■❍■✾✲✾✲❍❅❍■❳✉✾❏❍❘❆❇❝❘✾✬❞❪④✯✼✴✼❁❡❵❀●❊❯❆❇❊●❆❖✼❉❑✤❑❏✼✿✾✈❂❅❊❥✾❙❆①✇❙❑♣✼❁❑✤❀●◗✽✼❁❀❥❂❋❆✹⑦■✾❙✼✴❑②❑②❡❵❬✬❄❖❂❋❀●◗❥❍■◗❃❬❙③❋✼✿◗❥❀●▼✬❊●❝✩❆❇✼❁❡❵◗⑧❄❖❂❋◗●✷✽◗★✷✽④✬❆❇✷✽✼❁❀❃✷❢❂❅❀❃✷✽❡❥④✬✷✗❆❇✷❣✼❁◗⑤✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✯✶✯✶ ✷✹✷✹✸■✸■✷♠✷♠⑥❶ ✺✐❨❩❄❖✼❁❂❅✾✬◗●✼❁◗❸❀❵❷❸❝❙❂❋❄❇❂❅❆❇◗●❈✴✼✴❂❋❑②❊❥❆✹❍■♥❘✾✲✼✿✾✬❍■✼❁✾◆❀❃❂❅❡❪❄❇❆✹❄⑨❈❉❂❅❂❋◗●◗❯❊●❆❇❍■❡❵❍■✾◆✲❂❅❬✙✾❙❍❘❑r◗❥❆✹②❊❥❆❇❆❇❍❘✾✬✾r❆❇✾✬④✬♥❢❆❇✼❁❍❘❀❵❝❘❂❋❞❪❀❃✼✴❡❥❡❵④✬❊❯❆❇✼❁❑✬◗⑩❂❅❊❃✷✽❂r✷❢❡❵▼✬✷✽❝✙✷✽✼❁◗✭✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ❧❦✶✯♣▲ ✷ ❧✯❆❇✾✬✷❇✸ ❆❇✾✬♥r❹♦❹✤❬❙❬❙❂❋❂❅❊❥❊●❆⑨❆❖❂❅❂❋❄q❄q❑✬❫✽❂❋❂❅❊❵❂❜❊❃❂❋❡❪❝✙▼✬❂❋❝❙◗●✼✭✼✿◗❺❡❵❍❘✷❣✾✬◗❥✷✗❊●❀❥✷✽▼❙✷❢❡❵❊●✷✽❆❇❍■✷✽✾❻✷✽❂❋✾❙✷❢❑②✷✽◗❥✷✽❬❙✷❢❂❋❊❥✷✽❆⑨❂❅✷✗❄q❛✽✷✽❼✩✷❢❚✗✷✽❽❾✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❧✯❧✯✷♠✷♠❧❤ ❹♦❹♦❬❙❬❙❂❋❂❋❊❥❊❥❆⑨❆⑨❂❅❂❅❄q❄q❡❥❂❋④❙◗❥◗●❂❋❍✬❀❵❡❵❂❘❆❖❡❵❂❋❊❥❊❥✼❁❆✹❀●❍■❆❇✾❏❈✴❂❅❂❅❊●✾❙❆❇❍❘❂❋✾➀❄❇❱✤◗●✷❢❆❇◗➁✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❧✯❧✯✷✷♠t⑥ ❹♦❹♦❬❙❬❙❂❋❂❋❊❥❊❥❆⑨❆⑨❂❅❂❅❄q❄q❡❵❡❵❄❖❄❇▼✬❂❋◗❥◗●◗●❊❥❆①✼❁✇➂❀●❡❁❆❇✾✬❂❅♥r❊●❆❇❍❘②✾♣✼❁❂❋❊●④✯✾❙❍♦❑②❑♦❬✬◗➃❀❥✷✽✼✴❑✤✷✽❆❖❡❵✷✽❊●❆❇✷❢❍■✾ ✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ❤❦✶✯▲♣✷ ❤✯❇❆ ✾✬❇✷ ✸ ❆❇✾✬♥✭❹♦➄➅❆✹②❆❇✲❆❇❄⑨✼❵❂❅❷●❀●❹✤❆❇✼❁❊❸❱✽❀❥❆❇✼❁◗●◗➃✼✴❂❅❫✽❀❃❡❥❂❅④s❊❃❂❋❆❇❝✙✾♣❂❋❊●◗●❆❇✼✿✲◗❯✼❪❂❋❷➇✾❙◗❥❑②✼❁❀●❆❇➄✑✼❁✼❁◗❯✲❂❅✾❙❬✙❂❋❍❘❄❇❀❵❱✤❂❋◗●❄✩❆❇◗➈❫✽❂❋❊❃✷✗❂❅✷✽❝❙❂❋✷❢◗❥✼❁✷✽◗➆✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❤✯❤✯♠✷♠✷ ❧❤ ➄✑❽➊❀❥✼❁✼❁❀❥✾❙❆❇❍♦❑♣❑♦❆⑨❂❋❡❪✾❙❆✹❊❸❂❅❱✲❄❇❱✈❂❅◗❥✾❙❆❇◗➉❂❋❄❇❱✤✷✽◗●❆❇✷✗◗❯✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❤✯❤✯✷♠✷ t⑥ ❹♦❽➎✼✴❄⑨❂❅➋■✾✲▼✬✼❁②✾✤❊●❆✹❆❖✾✯❂❋❆✹❄✩✾✯❬✙♥❢❂❋❝✤❊●❱✲❊❥✼❁❑✤❀●✾➌❆❇⑦✈✲❆❖❑✤❆❇✼❪✾✬❷➏❂❅❆❇✾✬✾❙♥➍❑■❷●✷✽❡❵❍❘✷✽✾❙➋■✷✽▼✬✷❢✼✿❀✲✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ t ▲♣✶✯✷ t✙❆❇✾✬✷❇✸ ❇❆ ✾✬♥✭✑➄ ➄✑✼❵✼❵❭✬❭✬❊❯❊❯❑✬❫✽❂❅❂❋❊❃❂✭❊❃❂❅❂❋❝❙✾❙❂❋❂❅◗❥❄❇✼❁❱✈◗➅◗❥✷✽❆❇◗➃✷✗❂❅✷❣✾❙❑②✷✗❆✹✷✽✾♦❳✒✷❢❍❘❀❥✷✽❏✷✽❂❋✷✽❊❥❆❇✷❢❍❘✾✭✷✽❀●✷✽✼❁❊❥✷❢❀●❆❇✷✽✼❁⑦❘✷✗❂❋✷✽❄➅✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ t✙t✙✷♠✷♠❧❤ ★➑★❫ ✼❁❍✬❱✤❡❵▼✬➒❩②❍❘❀❵✼❁❑■✾✤❷➇❊➃❝✙❂❋❡❪❄⑨◗●❂❅✼❉◗●❑s◗❥❆➓❂❋✇✩◗❥❡❁◗●❂❋❍✬❊❥❡❵❆✹❆❖❍■❂❋✾s❊❥❆✹❂❋❍■✾❙✾❏❂❅❂❅❄✹❱✤✾❙◗❥❂❋❆✹❄❇◗➈❱✤◗●❆❇✷✽◗➅✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ⑥❦✶✯✶✯▲♣✷✷ t✙⑥✯❆❇✾✬✷✷❇t✸ ❆❇✾✬♥r❚★❹♦▲♣❆✹✬▼ ②✬▼ ❊●❍■❄❇❇❆ ❊❥❄⑨❏❂❅❆✹②❀●❂❅❆❇❊❸✼✴❊●❱✽✼✴❑✤❑❴❆❖◗●❂✽✼✴✼❵❂❅❫✽❭✬❀❃❊●❡❥❂❋❀❃④s❊❃❂■❂❅❡❵❆❇❝❙❊●✾♣❆❇❂❋❍■◗❥r✾❏✼❁◗❜▼✬❍❅❄❇✷✽❳✉❊●❆❇◗❥r✷❢❊●❀●✷✽✼✴▼✙❑✤✷✽❡❵❆❖❊●❂✽✷✽▼✬❑✬❀❥✷❢✼❁❂❅◗❢✷✽❊❃❂✞❆❇✷✽✾✲✷❢✷❢❊❥✼❵✷✽✷✽❭✬✷✗✷✗❊✗✷✽✷✽❑✤❍✬✷❢✷❢❡❵✷✽✷✽▼✯✲✷✽✷✽✼❁✷❢✷❢✾✤✷✽✷✽❊●◗✍✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷❢✷✽✷✽✷✽✷✗✷✗✷✗✷❣✷❣✷❣✷✗✷✗✷✗✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✗✷✗✷✗✷❣✷❣✷❣✷✗✷✗✷✗✷✽✷✽✷✽✷❢✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✽✷✽✷✽✷✷✷ ✶✯✶✯✷✷ ⑥✯⑥✯✷♠✷♠❧❤ ▲◆▲◆▼✬❆✹✾✯❄❇●❊✹❆ ✾✯❆①❷➏♥➔❑♦❆✹❂❅②◗●◗●✼❁❍✬✾✬❡❵◗❥❆❖❆✹❂❅❍■❊●✾❙❆❇❍❘❂❋✾✬❄✙◗➅❂❋✾❙❆❇✾②❂❅❄✹r❱✤◗❥▼✬❆✹◗❩❄❇❊●❍❋❆❇r❳✑r✼✴❑✤▼✬❆❖❄❇❂✽❊●❆❇❑✬r❂❋✼✴❊❵❂✆❑✤❆❖❂✽✷✗❑✬❂❅✷✽❊❃✷❢❂✻✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ❶❦✶✯▲♣✷ ❶✯❆❇✾✬✷❇✸ ❆❇✾✬♥✭→✛❊●④✯✼✿✼✗❝✲✛→ ✲ ❍■❆❇❀●✾✬❄❖❆❇❑■✾✬❷❸♥✭→➣❂❋❆❖✾❙❑✤❑②✼❵❷❸❂r→✛❡❵✼❁❄❖❝↔❂❋◗●◗❥❆①✷✽✇➂✷❢❡❁❂❋✷✽❊❥❆❇✷✽❍❘✾♣✷✽❍❋✷❢❳✑✷✽→✛✷✽✼❁✷❢❝♣✷✽✲✷✗❆❇✾✬✷✽❆❇✾✬✷❢♥✽✷✽❊❃✷✽❂❅◗●✷❢↕✤◗✲✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✶✯✷✷ ❶✯❶✯✷♠✷♠❧❤ →✛→✛✼✿✼✿❝✲❝✲✬▼●◗ ❊❥◗❵❀●❂❋▼❙♥❘❡❪✼❣❊●▼✬✲❀❥✼❜❆❇✾✬②❆❇✾✬❆✹♥➙✾✯❆✹✾✯✷❣♥✟✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ ✶✯✷ ❿❦✶✯❹✤▼✯✷ ❶✯✲✷ t ❏❂❅→✛❀●❱➉✼✿❝❏✷✽❵❡ ✽✷❍■✾✈✷❢❊❥✼❁✷✽✾✤✷✽❊❯✷❢②✷✽❆✹✾✯✷✽❆✹✾✯✷✗♥➛✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✗✷✗✷❣✷❣✷✗✷✗✷✽✷✽✷❢✷❢✷✽✷✽✷✽✷✽✷✽✷✽✷✷ www.elsolucionario.net ✁✄✂✆☎✞✝✟✂✆☎✡✠ ✹ ✸❘ ❘❘ ❘❘ ❘❘ ➂ ❘➂ www.elsolucionario.net ☛✌☞✎✍✑✹✓✺✌✏✌✻✼✹✎✒✓✏✎✽✴✔✖✾✲✿❀✕✘✾❂✗✙❁❄✕✘✗✛❃❆✚✎❅❇❃❆❅❇✜✣❈❂✢✛❉✬✢✛❊✌✤✘✕✦❊✌✥✧❋✼✏✌❃❍●■✒★✾✲✕✘✩✌✿❏❃❆✗✫❑▲✪✬❅✌▼◆✏✌✗✫✻❖✭✯✻✮✫✻✴✰✲✻◗✱✳✗✫✻✴✭✛✻✴✪✴✻✴✕✵✻◗✗✶✻✴✍✑✻✴✏✌✻◗✒✓✏✷✻✴✔✖✻✻✴✕✘✗✛✻◗✕✵✻✴✗✛✚✻✴✻◗✻✴✻✴✻✴✻◗✻✴✻✻❖✻✻✴✻✴✻◗✻✴✻✴✻◗✻✴✻✴✻✻❖✻✻✴✻◗✻✴✻✴✻✴✻ ✹✓✹✓✺✌✺✌✻✼✻✼✹❙✹❙✻✼✻♣♦r✹◆qs❚❱❅✳❯❇✿❏▼❲❬■✿❲❋✼❋❆❑▲❃✼❳❨❈▲❬■❃✼❅✳❩■✿✉❬★❭✑t✬✽✴❯✌❬■✾✲❝❏✿❪✈❴✾❫❉❞❁❴❅✌❃✼▼❏❅✌✇①❃✼❅✌❬■❈❫❝❏❃✼❅✌❵✛❈✣❑❛❑▲✇②❋✼▼✫❃✼✿❲❜✵③④❑▲❝❞✽✴✽✬✾✲✿❪❑❙✾❫❳❡❁❴✾✧❃✼❃✼❅✳❅✌❢❤❃✼❣✐❅✌❊❥❈❫❬★❵✛●❦❃♠❬★❧♥●❏●❱③✌❅✌❉❞❃❍❊✌⑤▲❊✌❯✌❋✼❬■❃❍▼⑥●■✾✧✿❲❃✼✻❑❙❅✌✻❖▼✶✻✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✻✻❖✻❖✻✻✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✴✻✴✻✻ ✹✓✺✌✻♣♦⑧⑦✬✹✓✺✌✿❲✻♣③❇♦✌❬■✻✼❝❞✹✶❵②❶✬③✌❃✼❬⑨▼❲❳❨❯❥✾✧❬■❋❷▼②✾✲❑▲❅❥❅❡❭❴✽✴✾✲❯❸✾✲✿❀❭✳✾✣❃✼❑❹❁❴❭✌❃✼✾✧❅✌✿❪❃✼✾❖❅✌❈⑩❳❨❃✼❅✌✻◗❃✼✻✴❅✌❈❺✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✻✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✻✻❖✻❖✻✻✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✻✻❖✻❖✻✻✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✴✻✴✻✻ ✹✓✹✓✺✌✺✌✻♣✻♣♦✌♦✌✻♣✻♣♦❻❘❻❣❇❚❱●❀❑▲❃✼❳❨❬■❅✳❳✑✿❲❃❼❧❽❬■❝❪●✴●❀❃❍❭✌✾✧✾✲❋❥✿❀✽✴✾❫✾✲❳❨✿❪✾❫❃✼❅✌❁❴❃✼❅✌❃✼❈❾❅✌❃✼❅✌✻✴❈✣✻◗❣✳✻✴✈✳▼❲✻✴✿❏❬■✻✴❳❨✻◗▼②✻✴✾✲❅❥✻✴❭❴✻◗❿✛✻✴❝❏✻❑❙✿❏✻✴❑❙✿s✻◗✈✳✻✴❊❥❬⑨✻✴▼➀✻◗✻✴✻✴✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✻✻❖✻❖✻✻✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✻✻❖✻❖✻✻✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✴✻✴✻✻ ✹✓✹✓✺✌✺✌✻♣✻ ➂⑧❘⑧❵✛❣✳❑✌❝❲❬⑨●❀❅❥❃❍✾✧❭✳❋♥▼qs❳❨✾✧❅❥❊❥❭❨✾▲●❀➃➄✿❲❬■▼❱▼❲❑✲❬✓❜①✾✲❝❪✽✴●❏③④✾✲✿❀qs✾❂▼❏▼❲❁❴❯✌❬⑨❃✼❅✌▼❃✼❃✼❅✌❅❴❈➁✽✾✧✻◗✿❪✻✴✾❫✻✴❁❴✻✴❃✼❅✌✻◗❃✼❅✌✻✴❈➅✻✴✻◗✻◗✻✴✻✴✻✻✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✻✻❖✻❖✻✻✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✻✻❖✻❖✻✻✻✴✻✴✻◗✻◗✻✴✻✴✻✴✻✴✻✴✻✴✻✻ ✹✓✺✌✻♣➆⑧❣✳❯❇❳❨❳❡✾✧❝❲✈❾✻✴✻✴✻◗✻✴✻✴✻◗✻✴✻✴✻✻❖✻✻✴✻◗✻✴✻✴✻✴✻◗✻✴✻✴✻◗✻✴✻✻✴✻◗✻✴✻✴✻◗✻✴✻✴✻✴✻◗✻✴✻✻❖✻✻✴✻✴✻◗✻✴✻✴✻◗✻✴✻✴✻✻❖✻✻✴✻◗✻✴✻✴✻✴✻ file:///E:/full/doc/tech/Morgan%20Kaufmann%20-%20Data%20Minin www.elsolucionario.net CMPT459/CMPT843 Fall 1999 - Supplementary Readings Notational convention: A : paper distributed as supplementary reading, B : suggested book to read, D : paper downloadable, and R : suggested further reading Textbook J Han and M Kamber Data Mining: Concepts and Techniques Morgan Kaufmann, 2000 Chapter Introduction [ R ] U Fayyad, G Piatetsky-Shapiro, and P Smyth Knowledge discovery and data mining: Towards a unifying framework Proc 2nd Int Conf on Knowledge Discovery and Data Mining (KDD'96), Portland, Oregon, pp 82-88, Aug 1996 [ A ] V Ganti, J Gehrke, R Ramakrishnan Mining very large databases COMPUTER, 32(8):38-45, 1999 [ A ] M S Chen, J Han, and P S Yu Data mining: An overview from a database perspective IEEE Transactions on Knowledge and Data Engineering, 8(6):866-883, 1996 [ R D ] J Han, Data Mining Techniques 1996 ACM/SIGMOD Int'l Conf on Management of Data (SIGMOD'96) (Conference tutorial notes), Montreal, Canada, June 1996 http://db.cs.sfu.ca/sections/publication.html [ B ] U M Fayyad, G Piatetsky-Shapiro, P Smyth, R Uthurusamy, Advances in Knowledge Discovery and Data Mining The MIT Press, 1996 [ B ] J Han (ed.) KDD-99 Tutorial Notes ACM Presss, August 1999 Chapter Data Warehouse and OLAP Technology for Data Mining www.elsolucionario.net [ R D ] A Silberschatz, M Stonebraker, and J D Ullman Database research: achievements and opportunities into the 21st century SIGMOD Record, 25(1):52-63, March 1996 [ D ] S Chaudhuri, and U Dayal An overview of data warehousing and OLAP technology ACM SIGMOD Record, 26(1):65-74, 1997 [ R ] J Gray, S Chaudhuri, A Bosworth, A Layman, D Reichart, M Venkatrao, F Pellow, and H Pirahesh Data cube: A relational aggregation operator generalizing group-by, cross-tab and sub-totals Data Mining and Knowledge Discovery, 1(1):29-54, 1997 [ R B ] E Thomsen OLAP Solutions: Building Multidimensional Information Systems, John Wiley & Sons, 1997 [ R B ] R Kimball The Data Warehouse Toolkit, John Wiley & Sons, New York, 1996 [ R D ] V Harinarayan, A Rajaraman, and J D Ullman Implementing data cubes efficiently In SIGMOD'96, pp 205-216, Montreal, Canada, June 1996 of 8/25/2004 11:29 AM file:///E:/full/doc/tech/Morgan%20Kaufmann%20-%20Data%20Minin www.elsolucionario.net [ R D ] S Agarwal, R Agrawal, P M Deshpande, A Gupta, J F Naughton, R Ramakrishnan, and S Sarawagi On the computation of multidimensional aggregates In Proc 1996 Int Conf Very Large Data Bases (VLDB'96), pp 506-521, Bombay, India, Sept 1996 [ D ] Y Zhao, P M Deshpande, and J F Naughton An array-based algorithm for simultaneous multidimensional aggregates In SIGMOD'97, pp 159-170, Tucson, Arizona, May 1997 [ R ] R Agrawal, A Gupta, and S Sarawagi Modeling multidimensional databases In Proc 1997 Int Conf Data Engineering (ICDE'97), Birmingham, England, April 1997 [ D ] S Sarawagi, R Agrawal, and N Megiddo Discovery-driven exploration of OLAP data cubes In Proc Int Conf of Extending Database Technology (EDBT'98), Valencia, Spain, pp 168-182, March 1998 Chapter Data Preprocessing [ D ] D Barbará et al The New Jersey Data Reduction Report Bulletin of the Technical Committee on Data Engineering, 20, Dec 1997, pp 3-45 [ R D ] F Hussain, H Liu, C L Tan, and M Dash Discretization: An enabling techniques Technical Report, National Univ of Singapore, 1999 [ R B ] D Pyle Data Preparation for Data Mining Morgan Kaufmann, 1999 Chapter Primitives for Data Mining [ R D ] R Meo, G Psaila, and S Ceri A new SQL-like operator for mining association rules In VLDB'96, pp 122-133, Bombay, India, Sept 1996 [ A ] R Agrawal, M Mehta, J Shafer, R Srikant, A Arning, and T Bollinger The Quest data mining system In KDD'96, pp 244-249, Portland, Oregon, August 1996 [ D ] J Han Towards on-line analytical mining in large databases ACM SIGMOD Record, 27:97-107, 1998 www.elsolucionario.net [ D ] K A Ross, D Srivastava, and D Chatziantoniou Complex aggregation at multiple granularities In EDBT'98, pp 263-277, Valencia, Spain, March 1998 Chapter Concept Description: Characterization and Comparison [ R ] R S Michalski A theory and methodology of inductive learning Artificial Intelligence, 20:111-118, 1983 [ A ] J Han, Y Cai, and N Cercone Data-driven discovery of quantitative rules in relational databases IEEE Trans Knowledge and Data Engineering, 5:29-40, 1993 Chapter Mining Association Rules in Large Databases [ D ] R Agrawal and R Srikant Fast algorithms for mining association rules In VLDB'94, pp 487-499, Santiago, Chile, Sept 1994 [ D ] J Han and Y Fu Discovery of multiple-level association rules from large databases In VLDB'95, pp 420-431, Zürich, Switzerland, Sept 1995 [ R D ] R Srikant and R Agrawal Mining generalized association rules In VLDB'95, of 8/25/2004 11:29 AM file:///E:/full/doc/tech/Morgan%20Kaufmann%20-%20Data%20Minin www.elsolucionario.net pp 407-419, Zürich, Switzerland, Sept 1995 [ D ] R Srikant and R Agrawal Mining quantitative association rules in large relational tables In SIGMOD'96, pp 1-12, Montreal, Canada, June 1996 [ A ] B Lent, A Swami, and J Widom Clustering association rules In ICDE'97, pp 220-231, Birmingham, England, April 1997 [ D ] S Brin, R Motwani, and C Silverstein Beyond market basket: Generalizing association rules to correlations In SIGMOD'97, pp 265-276, Tucson, Arizona, May 1997 [ A ] J Han, L V S Lakshmanan, and R T Ng Constraint-based, multidimensional data mining COMPUTER, 32(8): 46-50, 1999 Chapter Classification and Prediction [ R ] J R Quinlan Induction of decision trees Machine Learning, 1:81-106, 1986 [ R B ] S M Weiss and N Indurkhya Predictive Data Mining Morgan Kaufmann, 1997 [ R D ] J Shafer, R Agrawal, and M Mehta SPRINT: A scalable parallel classifier for data mining In VLDB'96, pp 544-555, Bombay, India, Sept 1996 [ B ] T M Mitchell Machine Learning McGraw Hill, 1997 [ D ] J Gehrke, R Ramakrishnan, V Ganti RainForest: A framework for fast decision tree construction of large datasets In VLDB'98, pp 416-427, New York, NY, August 1998 [ R ] S K Murthy Automatic construction of decision trees from data: A multi-disciplinary survey Data Mining and Knowledge Discovery, 2(4): 345-389, 1998 Chapter Cluster Analysis www.elsolucionario.net [ R D ] R Ng, L V S Lakshmanan, J Han, and A Pang Exploratory mining and pruning optimizations of constrained associations rules In SIGMOD'98, pp 13-24 Seattle, Washington, June 1998 [ R D ] R Ng and J Han Efficient and effective clustering method for spatial data mining In VLDB'94, pp 144-155, Santiago, Chile, Sept 1994 [ R D ] T Zhang, R Ramakrishnan, and M Livny BIRCH: An efficient data clustering method for very large databases In SIGMOD'96, pp 103-114, Montreal, Canada, June 1996 [ R ] M Ester, H.-P Kriegel, J Sander, and X Xu A density-based algorithm for discovering clusters in large spatial databases In KDD'96, pp 226-231, Portland, Oregon, August 1996 [ R D ] S Guha, R Rastogi, and K Shim CURE: An efficient clustering algorithm for large databases In SIGMOD'98, pp 73-84, Seattle, Washington, June 1998 [ A ] S Guha, R Rastogi, and K Shim ROCK: A robust clustering algorithm for categorical attributes In ICDE'99, pp 512-521, Sydney, Australia, March 1999 [ R D ] R Agrawal, J Gehrke, D Gunopulos, and P Raghavan Automatic subspace clustering of 8/25/2004 11:29 AM file:///E:/full/doc/tech/Morgan%20Kaufmann%20-%20Data%20Minin www.elsolucionario.net of high dimensional data for data mining applications In SIGMOD'98, pp 94-105, Seattle, Washington, June 1998 [ A ] M Ankerst, M Breunig, H.-P Kriegel, and J Sander Optics: Ordering points to identify the clustering structure In SIGMOD'99, pp 49-60, Philadelphia, PA, June 1999 [ B ] L Kaufman and P J Rousseeuw Finding Groups in Data: an Introduction to Cluster Analysis John Wiley & Sons, 1990 [ D ] G Sheikholeslami, S Chatterjee, and A Zhang WaveCluster: A multi-resolution clustering approach for very large spatial databases In VLDB'98, pp 428-439, New York, NY, August 1998 [ A ] G Karypis, E.-H Han, and V Kumar CHAMELEON: A Hierarchical Clustering Algorithm Using Dynamic Modeling COMPUTER, 32(8): 68-75, 1999 [ R D ] K Koperski and J Han Discovery of spatial association rules in geographic information databases In Proc 4th Int'l Symp on Large Spatial Databases (SSD'95), pp 47-66, Portland, Maine, Aug 1995 [ A ] M Ester, H.-P Kriegel, and J Sander Spatial data mining: A database approach In SSD'97, pp 47-66, Berlin, Germany, July 1997 [ R D ] X Zhou, D Truffet, and J Han Efficient polygon amalgamation methods for spatial OLAP and spatial data mining In SSD'99, pp 167-187, Hong Kong, Aug 1999 [ R ] R Agrawal and R Srikant Mining sequential patterns In ICDE'95, pp 3-14, Taipei, Taiwan, March 1995 [ D ] R Agrawal, K.-I Lin, H.S Sawhney, and K Shim Fast similarity search in the presence of noise, scaling, and translation in time-series databases In VLDB'95, pp 490-501, Zurich, Switzerland, Sept 1995 [ R D ] R Agrawal, G Psaila, E L Wimmers, and M Zait Querying shapes of histories In VLDB'95, pp 502-514, Zürich, Switzerland, Sept 1995 www.elsolucionario.net Chapter Mining Complex Types of Data [ R D ] J Han, G Dong, and Y Yin Efficient mining of partial periodic patterns in time series database In ICDE'99, pp 106-115, Sydney, Australia, April 1999 [ A ] S Chakrabarti, B E Dom, S R Kumar, P Raghavan, S Rajagopalan, A Tomkins, D Gibson, and J Kleinberg Mining the Web's link structure COMPUTER, 32(8):60-67, 1999 [ R ] J Kleinberg and A Tomkins Application of linear algebra in information retrieval and hypertext analysis In PODS'99, pp 185-193, Philadelphia, PA, May 1999 [ R D ] K Wang, S Zhou and S C Liew Building hierarchical classifiers using class proximity In VLDB99, Edinburgh, UK, Sept 1999 Chapter 10 Data Mining Applications and Trends in Data Mining [ R ] J Han, Y Huang, N Cercone, and Y Fu Intelligent query answering by knowledge of 8/25/2004 11:29 AM file:///E:/full/doc/tech/Morgan%20Kaufmann%20-%20Data%20Minin www.elsolucionario.net discovery techniques IEEE Trans Knowledge and Data Engineering, 8:373-390, 1996 [ R ] C Clifton and D Marks Security and Privacy Implications of Data Mining In Proc 1996 SIGMOD'96 Workshop on Research Issues on Data Mining and Knowledge Discovery (DMKD'96), Montreal, Canada, pp 15-20, June 1996 www.elsolucionario.net Page maintained by: Zhong Zhang Last update: September 1, 1998 of 8/25/2004 11:29 AM ... results on knowledge discovery and data mining Other books on data mining include Predictive Data Mining by Weiss and Indurkhya 37], and Data Mining by Adriaans and Zantinge 1] There are also... data/ pattern analysis, data archaeology, and data dredging Many people treat data mining as a synonym for another popularly used term, Knowledge Discovery in Databases", or KDD Alternatively,... be very happy to hear from you We welcome and appreciate your suggestions You can send your comments to: Data Mining: Concept and Techniques Intelligent Database Systems Research Laboratory Simon