The document contains several logic exercises involving propositional logic statements and truth tables. Specifically, it includes 10 different exercises labeled a-j with propositional statements and their corresponding truth tables showing the truth values for all combinations of variable assignments.
This document contains a logic proportionality work with various exercises involving propositional logic. It includes truth tables testing the validity of statements with connectives like implication, conjunction, disjunction, equivalence and negation. The exercises cover tautologies, contingencies and validity testing across different combinations of propositional variables.
El documento habla sobre diferentes tipos de ordenamientos lineales. Explica ordenamiento lineal comparativo, por posici坦n fija y por planteamiento, dando ejemplos de cada uno. Tambi辿n define t辿rminos como adyacente, derecha inmediata e izquierda inmediata.
Este documento introduce los conceptos b叩sicos de la l坦gica proposicional. Explica que la l坦gica estudia la forma de razonamiento y se utiliza para determinar la validez de argumentos. Define conceptos como enunciados, proposiciones, conectivos l坦gicos, tablas de verdad y leyes de 叩lgebra proposicional. Finalmente, establece la relaci坦n entre circuitos l坦gicos y proposiciones, y presenta algunos ejercicios de aplicaci坦n.
The document provides a list of English words with their synonyms, antonyms, and definitions. It includes over 100 entries with words categorized by part of speech (noun, verb, adjective, etc.). For each entry it lists the word, part of speech, definition, and synonyms on one side of the table and antonyms on the other side to show words with opposite meanings. The purpose is to help with learning English vocabulary through understanding related and opposite words.
Este documento presenta un resumen de probabilidad y estad鱈stica para el curso SI3-001 impartido en la Universidad Central del Ecuador durante el a単o 2021-2022. Contiene los nombres de los 5 estudiantes que cursan la asignatura y resuelve diversos ejercicios sobre distribuciones de probabilidad como la normal, exponencial y binomial.
This document provides information about Construction Services and Management (CSM), a consulting group that provides project management and construction services for cement and mining industries worldwide. It outlines CSM's mission, values, experience, services, and portfolio. CSM was founded in 1999 in Michigan and has over 25 years of experience in engineering, planning, design, construction, and project management. It has successfully managed numerous cement plant and industrial construction projects internationally.
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This document provides vocabulary and information needed to state the date in French. It includes the days of the week, months of the year, and numbers 1-31 in French. It explains that the standard format is "C'est weekday, le # of the day month". Unlike in English, the day comes before the month in French dates. Days of the week and months are not capitalized. The French week begins on Monday. Ordinal numbers are not used except on the first of the month, which is "premier".
The document provides a summary of Alicia Jansen van Nieuwenhuizen's background and qualifications as an ESL teacher. It outlines her experience developing curricula and teaching English in South Korea over the past 3.5 years, including for kindergarten, elementary, middle, and high school students, as well as adult classes. It also lists her education in theology, psychology, and TESOL, and provides references from her past supervisors in Korea.
Este documento presenta el calendario de partidos de f炭tbol para la cuarta jornada de la temporada regular de la Liga Nike 2014, incluyendo 16 partidos programados entre equipos en diferentes categor鱈as y franjas horarias. Tambi辿n menciona que los equipos que descansan esta jornada y proporciona informaci坦n de contacto de la directora de la liga.
Qui na jamais reve de parler plusieurs langues ?
Etre polyglotte semble faciliter grandement la vie: voyager en
toute tranquillite, se faire comprendre, rencontrer, echanger, travailler a letranger, etc.
Nous vous presentons une selection dapplications disponible sur Internet, conc箕ues specialement pour les motives, desireux dapprendre une langue etrangere.
Il est aussi tout a fait possible de consolider ses connaissances, de revoir les bases, de sentrainer a parler, etc. Un seul mot dordre pour reussir: amusez-vous !
The document provides a summary of Anthony Norton's experience as an executive chef with over 10 years of experience in the healthcare industry and 18 years of experience in restaurants. It highlights his strong record of streamlining operations, improving quality and service, performing food cost analysis, and leading high-performing teams. It also provides details of his most recent roles and responsibilities as the Systematic Executive Chef at Virtua Hospital and his previous roles at other hospitals.
Using the strategies of blended learning and differentiation to overcome a ch...Cindy Farmer
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Este documento presenta un resumen de un cap鱈tulo sobre la experiencia de la audiencia y la sociabilidad del uso de los medios de comunicaci坦n. Brevemente describe c坦mo el uso de los medios es una actividad social integrada en la vida cotidiana de los grupos sociales y c坦mo puede haber correspondencia entre grupos sociales y audiencias de determinados medios. Tambi辿n menciona que los aficionados a ciertos medios, programas o artistas pueden formar grupos sociales activos.
This document contains a logic proportionality exercise with multiple parts. It includes truth tables to determine whether statements are tautologies, contingencies or contradictions. The statements involve propositional logic with various connectives such as implication, conjunction, disjunction, negation and equivalence.
This document provides solutions to logic proposition exercises in Spanish. It lists the propositions for each exercise and provides a truth table solution for each one. There are 10 different exercises labeled a-j, each with a proposition and its corresponding truth table solution. The document concludes by stating the result is contingency for exercise e.
Trabajo de matem叩tica discreta l坦gica b叩sica elera08
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The document contains truth tables for evaluating a series of logical expressions involving propositional variables P, Q, R, S, and T. Each truth table has two columns - the first lists all possible combinations of truth values for the propositional variables, and the second column evaluates the given logical expression to either True (V) or False (F) based on the truth value assignments in the first column. There are a total of 16 truth tables presented evaluating different logical expressions.
The document contains truth tables for evaluating a series of logical expressions involving propositional variables P, Q, R, S, and T. Each truth table has two columns - the first lists all possible combinations of truth values for the propositional variables, and the second column evaluates the given logical expression to either True (V) or False (F) based on the truth value assignments in the first column. There are a total of 16 truth tables presented evaluating different logical expressions.
1. The document is a mathematics coursework from the Faculty of Engineering at the University of Tarapoto in Peru. It contains 4 logic propositions to evaluate with variables p, q, r, s, and t.
2. The student, James Bazan Fernandez, is asked to evaluate each proposition and determine if it is true or false based on the possible values of the variables. Tables with all possible variable combinations and the evaluation of each proposition are provided.
3. The document contains course information like the teacher, classroom, and cycle to provide context about the mathematics discrete course assignment being summarized.
This document contains a mathematics discrete course assignment with 4 logic statements to evaluate. It provides the student name, date, instructor name, and classroom for context. The assignment contains 4 logic statements with variables p through t to evaluate as true or false based on the values assigned to each variable.
This document provides solutions to logic proposition exercises from a Discrete Mathematics course. It includes 8 logic proposition exercises labeled a through h, with truth tables showing the logical values for each combination of variable values in the propositions. For each exercise, the document lists the proposition, sets up a truth table with the variables as column headers, and fills in the table with the logical values to determine the solution or result for that proposition.
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The document provides a summary of Alicia Jansen van Nieuwenhuizen's background and qualifications as an ESL teacher. It outlines her experience developing curricula and teaching English in South Korea over the past 3.5 years, including for kindergarten, elementary, middle, and high school students, as well as adult classes. It also lists her education in theology, psychology, and TESOL, and provides references from her past supervisors in Korea.
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toute tranquillite, se faire comprendre, rencontrer, echanger, travailler a letranger, etc.
Nous vous presentons une selection dapplications disponible sur Internet, conc箕ues specialement pour les motives, desireux dapprendre une langue etrangere.
Il est aussi tout a fait possible de consolider ses connaissances, de revoir les bases, de sentrainer a parler, etc. Un seul mot dordre pour reussir: amusez-vous !
The document provides a summary of Anthony Norton's experience as an executive chef with over 10 years of experience in the healthcare industry and 18 years of experience in restaurants. It highlights his strong record of streamlining operations, improving quality and service, performing food cost analysis, and leading high-performing teams. It also provides details of his most recent roles and responsibilities as the Systematic Executive Chef at Virtua Hospital and his previous roles at other hospitals.
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This document contains a logic proportionality exercise with multiple parts. It includes truth tables to determine whether statements are tautologies, contingencies or contradictions. The statements involve propositional logic with various connectives such as implication, conjunction, disjunction, negation and equivalence.
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The document contains truth tables for evaluating a series of logical expressions involving propositional variables P, Q, R, S, and T. Each truth table has two columns - the first lists all possible combinations of truth values for the propositional variables, and the second column evaluates the given logical expression to either True (V) or False (F) based on the truth value assignments in the first column. There are a total of 16 truth tables presented evaluating different logical expressions.
The document contains truth tables for evaluating a series of logical expressions involving propositional variables P, Q, R, S, and T. Each truth table has two columns - the first lists all possible combinations of truth values for the propositional variables, and the second column evaluates the given logical expression to either True (V) or False (F) based on the truth value assignments in the first column. There are a total of 16 truth tables presented evaluating different logical expressions.
1. The document is a mathematics coursework from the Faculty of Engineering at the University of Tarapoto in Peru. It contains 4 logic propositions to evaluate with variables p, q, r, s, and t.
2. The student, James Bazan Fernandez, is asked to evaluate each proposition and determine if it is true or false based on the possible values of the variables. Tables with all possible variable combinations and the evaluation of each proposition are provided.
3. The document contains course information like the teacher, classroom, and cycle to provide context about the mathematics discrete course assignment being summarized.
This document contains a mathematics discrete course assignment with 4 logic statements to evaluate. It provides the student name, date, instructor name, and classroom for context. The assignment contains 4 logic statements with variables p through t to evaluate as true or false based on the values assigned to each variable.
This document provides solutions to logic proposition exercises from a Discrete Mathematics course. It includes 8 logic proposition exercises labeled a through h, with truth tables showing the logical values for each combination of variable values in the propositions. For each exercise, the document lists the proposition, sets up a truth table with the variables as column headers, and fills in the table with the logical values to determine the solution or result for that proposition.
The document summarizes 4 exercises completed in a Discrete Mathematics class on October 26, 2016 taught by Engineer Alberto Alva Arevalo. It provides the truth tables for 4 different logic expressions involving variables P, Q, R, S and T.
The document contains the results of 4 logic exercises involving statements connected by logic operators like conjunction (), disjunction (), implication (), biconditional (), and negation (~). For each exercise, the values of 5 variables (p, q, r, s, t) are listed that would make the statement true according to the rules of logic.
1. The statement expresses that if P and Q are not both true, then either P and Q are not both false or R is true.
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3. The statement expresses that if Q is true and either not (Q and T) or (R or P) is true, then Q and not T being the inverse of S is true.
1. The statement expresses that if P and Q are not both true, then either P and Q are not both false or R is true.
2. The statement expresses that the biconditional of P or Q being true if and only if R is true is equivalent to if P and Q are not both true, then S is true.
3. The statement expresses that if Q is true and either not (Q and T) or (R or P) is true, then Q and not T being the inverse of S is true.
1. This document contains 3 logic exercises involving propositional logic statements and truth tables. The first exercise contains a statement with 3 variables and its corresponding truth table. The second exercise similarly contains a statement with 4 variables and truth table. The third exercise has a statement with 5 variables and truth table.
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Ejercicios
1. EJERCICIOS
a) P Q ( P ( P
P
) Q )
V V V V V V V V V
V F V V V V V F F
F V F F F V F F V
F F F F F V F V F
b) P Q ( P Q ) ( 夢 P Q )
V V V V V V F V V
V F V F F V F F F
F V F V V V V V V
F F F V F V V V F
CONTINGENCIA
EJERCICIO D
p q (p q) ((p q) ( p q))
v v V V V V V V V V F F F
v f V F F V V F F F F F F
f v F F V V F F V F F F F
f f F V F V F F F V V V V
EJERCICIO C
p q r ((r q) (q r)) (p r)
v v v V V V V V V V V V V V
v v f F V V F V F F V V F F
v f v V F F F F V V V V V V
v f f F V F V F V F F V F F
f v v V V V V V V V V F V V
f v f F V V F V F F V F V F
f f v V F F F F V V V F V V
f f f F V F V F V F V F V F
TAUTOLOGIA
CONTINGENCIA
2. EJERCICIOF
( P V (Q R)) (((P V Q) (P T) (Q V S)) P Q R S T
V V F V V V V V V V V V V
V V V V F F F V V V V V F
V V F V V V V V V V V F V
V V V V F F F V V V V F F
V F F V V V V V V V F V V
V F V V F F F V V V F V F
V F F V V V V V V V F F V
V F V V F F F V V V F F F
V F F V V V V V V F V V V
V F V V F F F V V F V V F
V F V V F V F F V F V F V
V F V V F F F F V F V F F
V F F V V V V V V F F V V
V F V V F F F V V F F V F
V F V V F V F F V F F F V
V F V V F F F F V F F F F
V V V V F F F V F V V V V
V V V V F F F V F V V V F
F V F V F F F V F V V F V
F V F V F F F V F V V F F
V F V V F F F V F V F V V
V F V V F F F V F V F V F
F F F V F F F V F V F F V
F F F V F F F V F V F F F
F F F F F F F V F F V V V
F F F F F F F V F F V V F
F F F F F F F F F F V F V
F F F F F F F F F F V F F
F F F F F F F V F F F V V
F F F F F F F V F F F V F
F F F F F F F F F F F F V
F F F F F F F F F F F F
EJERCICIOE
p q (q (p q) p
v v V V V V V V V
v f F F V F F V V
f v V V F V V F F
f f F F F V F V F
3. g) P Q ( P R ) ( T S ) R )
V V V V V V V V V V V
V V V V V F F F V F V
V V V V V F V F F F V
V V V V V F F F F F V
V V V F F V V V V F F
V V V F F V F F V F F
V V V F F V V F F F F
V V V F F V F F F F F
V F V V V V V V V V V
V F V V V F F F V F V
V F V V V F V F F F V
V F V V V F F F F F V
V F V F F V V V V F F
V F V F F V F F V F F
V F V F F V V F F F F
V F V F F V F F F F F
F V F F V V V V V V V
F V F F V V F F V V V
F V F F V V V F F V V
F V F F V V F F F V V
F V F V F V V V V F F
F V F V F F F F V V F
F V F V F F V F F V F
F V F V F F F F F V F
F F F F V V V V V V V
F F F F V V F F V V V
F F F F V V V F F V V
F F F F V V F F F V V
F F F V F V V V V F F
F F F V F F F F V V F
F F F V F F V F F V F
F F F V F F F F F V F
4. EJERCICIOH
((測 P) 測 (測 P)) S) P Q R S
F V V F V V V V V
F V V F F V V V F
F V V F V V V F V
F V V F F V V F F
F V V F V V F V V
F V V F F V F V F
F V V F V V F F V
F V V F F V F F F
V V F V V F V V V
V V F V F F V V F
V V F V V F V F V
V V F V F F V F F
V V F V V F F V V
V V F V F F F V F
V V F V V F F F V
V V F V F F F F F
5. i) .((S ~ T ) V R ) V ~ ((P S ) Q )
P Q R S T
((S ~ T ) V R ) V ~ ((P S )
Q )
V V V V V V F F V V V F V V V
V V V V F V V V V V V F V V V
V V V F V F F F V V V V F F V
V V V F F F F V V V V V F F V
V V F V V V F F F F F F V V V
V V F V F V V V V F V F V V V
V V F F V F F F F F V V F F V
V V F F F F F V F F V V F F V
V F V V V V F F V V V V V F F
V F V V F V V V V V V V V F F
V F V F V F F F V V V V F F F
V F V F F F F V V V V V F F F
V F F V V V F F F F V V V F F
V F F V F V V V V F V V V F F
V F F F V F F F F F V V F F F
V F F F F F F V F F V V F F F
F V V V V V F F V V V V F F V
F V V V F V V V V V V V F F V
F V V F V F F F V V V V F F V
F V V F F F F V V V V V F F V
F V F V V V F F F F V V F F V
F V F V F V V V V F V V F F V
F V F F V F F F F F V V F F V
F V F F F F F V F F V V F F V
F F V V V V F F V V V V F F F
F F V V F V V V V V V V F F F
F F V F V F F F V V V V F F F
F F V F F F F V V V V V F F F
F F F V V V F F F F V V F F F
F F F V F V V V V F V V F F F
F F F F V F F F F F V V F F F
F F F F F F F V F F V V F F F
6. EJERCICIO J
p q r s t V w ((q t) w) (r t)
v v v v v v v V V V V V F V F F
v v v v v v f V V V V F F V F F
v v v v v f v V V V V V F V F F
v v v v v f f V V V V F F V F F
v v v v f v v V V F V V V V V V
v v v v f v f V V F V F V V V V
v v v v f f v V V F V V V V V V
v v v v f f f V V F V F V V V V
v v v f v v v V V V V V F V F F
v v v f v v f V V V V F F V F F
v v v f v f v V V V V V F V F F
v v v f v f f V V V V F F V F F
v v v f f v v V V F V V V V V V
v v v f f v f V V F V F V V V V
v v v f f f v V V F V V V V V V
v v v f f f f V V F V F V V V V
v v f v v v v V V V V V V F V F
v v f v v v f V V V V F V F V F
v v f v v f v V V V V V V F V F
v v f v v f f V V V V F V F V F
v v f v f v v V V F V V F F F V
v v f v f v f V V F V F F F F V
v v f v f f v V V F V V F F F V
v v f v f f f V V F V F F F F V
v v f f v v v V V V V V V F V F
v v f f v v f V V V V F V F V F
v v f f v f v V V V V V V F V F
v v f f v f f V V V V F V F V F
v v f f f v v V V F V V F F F V
v v f f f v f V V F V F F F F V
v v f f f f v V V F V V F F F V
v v f f f f f V V F V F F F F V
v f v v v v v F F V V V V F V F
v f v v v v f F F V F F F F V F
v f v v v f v F F V V V V F V F
v f v v v f f F F V F F F F V F
v f v v f v v F V F V V F F F V
v f v v f v f F V F V F F F F V
7. v f v v f f v F V F V V F F F V
v f v v f f f F V F V F F F F V
v f v f v v v F F V V V V F V F
v f v f v v f F F V F F F F V F
v f v f v f v F F V V V V F V F
v f v f v f f F F V F F F F V F
v f v f f v v F V F V V F F F V
v f v f f v f F V F V F F F F V
v f v f f f v F V F V V F F F V
v f v f f f f F V F V F F F F V
v f f v v v v F F V V V V F V F
v f f v v v f F F V F F F F V F
v f f v v f v F F V V V V F V F
v f f v v f f F F V F F F F V F
v f f v f v v F V F V V F F F V
v f f v f v f F V F V F F F F V
v f f v f f v F V F V V F F F V
v f f v f f f F V F V F F F F V
v f f f v v v F F V V V V F V F
v f f f v v f F F V F F F F V F
v f f f v f v F F V V V V F V F
v f f f v f f F F V F F F F V F
v f f f f v v F V F V V F F F V
v f f f f v f F V F V F F F F V
v f f f f f v F V F V V F F F V
v f f f f f f F V F V F F F F V
f v v v v v v F F V V V V F V F
f v v v v v f V V V V F V F V F
f v v v v f v V V V V V V F V F
f v v v v f f V V V V F V F V F
f v v v f v v V V F V V F F F V
f v v v f v f V V F V F F F F V
f v v v f f v V V F V V F F F V
f v v v f f f V V F V F F F F V
f v v f v v v V V V V V V F V F
f v v f v v f V V V V F V F V F
f v v f v f v V V V V V V F V F
f v v f v f f V V V V F V F V F
f v v f f v v V V F V V F F F V
f v v f f v f V V F V F F F F V
f v v f f f v V V F V V F F F V
8. f v v f f f f V V F V F F F F V
f v f v v v v V V V V V V F V F
f v f v v v f V V V V F V F V F
f v f v v f v V V V V V V F V F
f v f v v f f V V V V F V F V F
f v f v f v v V V F V V F F F V
f v f v f v f V V F V F F F F V
f v f v f f v V V F V V F F F V
f v f v f f f V V F V F F F F V
f v f f v v v V V V V V V F V F
f v f f v v f V V V V F V F V F
f v f f v f v V V V V V V F V F
f v f f v f f V V V V F V F V F
f v f f f v v V V F V V F F F V
f v f f f v f V V F V F F F F V
f v f f f f v V V F V V F F F V
f v f f f f f V V F V F F F F V
f f v v v v v V V V V V V F V F
f f v v v v f F F V F F F F V F
f f v v v f v F F V V V V F V F
f f v v v f f F F V F F F F V F
f f v v f v v F V F V V F F F V
f f v v f v f F V F V F F F F V
f f v v f f v F V F V V F F F V
f f v v f f f F V F V F F F F V
f f v f v v v F F V V V V F V F
f f v f v v f F F V F F F F V F
f f v f v f v F F V V V V F V F
f f v f v f f F F V F F F F V F
f f v f f v v F V F V V F F F V
f f v f f v f F V F V F F F F V
f f v f f f v F V F V V F F F V
f f v f f f f F V F V F F F F V
f f f v v v v F F V V V V F V F
f f f v v v f F F V F F F F V F
f f f v v f v F F V V V V F V F
f f f v v f f F F V F F F F V F
f f f v f v v F V F V V F F F V
f f f v f v f F V F V F F F F V
f f f v f f v F V F V V F F F V
f f f v f f f F V F V F F F F V
9. f f f f v v v F F V V V V F V F
f f f f v v f F F V F F F F V F
f f f f v f v F F V V V V F V F
f f f f v f f F F V F F F F V F
f f f f f v v F V F V V F F F V
f f f f f v f F V F V F F F F V
f f f f f f v F V F V V F F F V
f f f f f f f F V F V F F F F V
Ejerciciok
((Q W) P) (Q (T S)) P Q R S T V W
V V V V V V V V V V V V
V V V V V V V V V V V F
V V V V V V V V V V F V
V V V V V V V V V V F F
V V F F F V V V V F V V
V V F F F V V V V F V F
V V F F F V V V V F F V
V V F F F V V V V F F F
V V F F F V V V F V V V
V V F F F V V V F V V F
V V F F F V V V F V F V
V V F F F V V V F V F F
V V F F F V V V F F V V
V V F F F V V V F F V F
V V F F F V V V F F F V
V V F F F V V V F F F F
V V V V V V V F V V V V
V V V V V V V F V V V F
V V V V V V V F V V F V
V V V V V V V F V V F F
V V F F F V V F V F V V
V V F F F V V F V F V F
V V F F F V V F V F F V
V V F F F V V F V F F F
V V F F F V V F F V V V
V V F F F V V F F V V F
V V F F F V V F F V F V
V V F F F V V F F V F F
10. V V F F F V V F F F V V
V V F F F V V F F F V F
V V F F F V V F F F F V
V V F F F V V F F F F F
V V V V V V F V V V V V
F F F V V V F V V V V F
V V V V V V F V V V F V
F F F V V V F V V V F F
V V V V F V F V V F V V
F F F V F V F V V F V F
V V V V F V F V V F F V
F F F V F V F V V F F F
V V V V F V F V F V V V
F F F V F V F V F V V F
V V V V F V F V F V F V
F F F V F V F V F V F F
V V V V F V F V F F V V
F F F V F V F V F F V F
V V V V F V F V F F F V
F F F V F V F V F F F F
V V V V V V F F V V V V
F F F V V V F F V V V F
V V V V V V F F V V F V
F F F V V V F F V V F F
V V V V F V F F V F V V
F F F V F V F F V F V F
V V V V F V F F V F F V
F F F V F V F F V F F F
V V V V F V F F F V V V
F F F V F V F F F V V F
V V V V F V F F F V F V
F F F V F V F F F V F F
V V V V F V F F F F V V
F F F V F V F F F F V F
V V V V F V F F F F F V
F F F V F V F F F F F F
V V V V V F V V V V V V
V V V V V F V V V V V F
V V V V V F V V V V F V
V V V V V F V V V V F F
V V F F F F V V V F V V
11. V V F F F F V V V F V F
V V F F F F V V V F F V
V V F F F F V V V F F F
V V F F F F V V F V V V
V V F F F F V V F V V F
V V F F F F V V F V F V
V V F F F F V V F V F F
V V F F F F V V F F V V
V V F F F F V V F F V F
V V F F F F V V F F F V
V V F F F F V V F F F F
V V V V V F V F V V V V
V V V V V F V F V V V F
V V V V V F V F V V F V
V V V V V F V F V V F F
V V F F F F V F V F V V
V V F F F F V F V F V F
V V F F F F V F V F F V
V V F F F F V F V F F F
V V F F F F V F F V V V
V V F F F F V F F V V F
V V F F F F V F F V F V
V V F F F F V F F V F F
V V F F F F V F F F V V
V V F F F F V F F F V F
V V F F F F V F F F F V
V V F F F F V F F F F F
V V V V V F F V V V V V
F V V V V F F V V V V F
V V V V V F F V V V F V
F V V V V F F V V V F F
V V V V F F F V V F V V
F V V V F F F V V F V F
V V V V F F F V V F F V
F V V V F F F V V F F F
V V V V F F F V F V V V
F V V V F F F V F V V F
V V V V F F F V F V F V
F V V V F F F V F V F F
V V V V F F F V F F V V
F V V V F F F V F F V F
12. V V V V F F F V F F F V
F V V V F F F V F F F F
V V V V V F F F V V V V
F V V V V F F F V V V F
V V V V V F F F V V F V
F V V V V F F F V V F F
V V V V F F F F V F V V
F V V V F F F F V F V F
V V V V F F F F V F F V
F V V V F F F F V F F F
V V V V F F F F F V V V
F V V V F F F F F V V F
V V V V F F F F F V F V
F V V V F F F F F V F F
V V V V F F F F F F V V
F V V V F F F F F F V F
V V V V F F F F F F F V
F V V V F F F F F F F F
l) P Q (( T Q) P ) W )
V V V V V V V V V
V V V V V V V V F
V V V V V V V V V
V V V V V V V V F
V V F F V V V V V
V V F F V V V V F
V V F F V V V V V
V V F F V V V V F
V V V V V V V V V
V V V V V V V V F
V V V V V V V V V
V V V V V V V V F
V V F F V V V V V
V V F F V V V V F
V V F F V V V V V
V V F F V V V V F
V V V V V V V V V
V V V V V V V V F
V V V V V V V V V
V V V V V V V V F
V V F F V V V V V
13. V V F F V V V V F
V V F F V V V V V
V V F F V V V V F
V V V V V V V V V
V V V V V V V V F
V V V V V V V V V
V V V V V V V V F
V V F F V V V V V
V V F F V V V V F
V V F F V V V V V
V V F F V V V V F
V F V F F V V V V
V F V F F V V V F
V F V F F V V V V
V F V F F V V V F
V F F V F V V V V
V F F V F V V V F
V F F V F V V V V
V F F V F V V V F
V F V F F V V V V
V F V F F V V V F
V F V F F V V V V
V F V F F V V V F
V F F F F V V V V
V F F V F V V V F
V F F V F V V V V
V F F V F V V V F
V F V F F V V V V
V F V F F V V V F
V F V F F V V V V
V F V F F V V V F
V F F V F V V V V
V F F V F V V V F
V F F V F V V V V
V F F V F V V V F
V F V F F V V V V
V F V F F V V V F
V F V F F V V V V
V F V F F V V V F
V F F V F V V V V
V F F V F V V V F
V F F V F V V V V
V F F V F V V V F
F V V V V V F V V
F V V V V V F V F
F V V V V V F V V
14. F V V V V V F V F
F V F F V F F F V
F V F F V F F V F
F V F F V F F F V
F V F F V F F V F
F V V V V V F V V
F V V V V V F V F
F V V V V V F V V
F V V V V V F V F
F V F F V F F F V
F V F F V F F V F
F V F F V F F F V
F V F F V F F V F
F V V V V V F V V
F V V V V V F V F
F V V V V V F V V
F V V V V V F V F
F V F F V F F F V
F V F F V F F V F
F V F F V F F F V
F V F F V F F V F
F V V V V V F V V
F V V V V V F V F
F V V V V V F V V
F V V V V V F V F
F V F F V F F F V
F V F F V F F V F
F V F F V F F F V
F V F F V F F V F
F F V F F F F F V
F F V F F F F V F
F F V F F F F F V
F F V F F F F V F
F F F V F V F V V
F F F V F V F V F
F F F V F V F V V
F F F V F V F V F
F F V F F F F F V
F F V F F F F V F
F F V F F F F F V
F F V F F F F V F
F F F V F V F V V
F F F V F V F V F
F F F V F V F V V
F F F V F V F V F
F F V F F F F F V
15. F F V F F F F V F
F F V F F F F F V
F F V F F F F V F
F F F V F V F V V
F F F V F V F V F
F F F V F V F V V
F F F V F V F V F
F F V F F F F F V
F F V F F F F V F
F F V F F F F F V
F F V F F F F V F
F F F V F V F V V
F F F V F V F V F
F F F V F V F V V
F F F V F V F V F