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okay  why don't we begin  hi everybody  see how many we got here  uh most of you um  i'm sure the others will show up  hopefully uh soon enough  so  welcome back um  we have today's lecture four  and  um  let's just remember what we've been  doing um  in the  last few lectures we were exploring  uh the regular languages as described by  finite automata and regular expressions  we showed how to convert them back and  forth  those two models to one another  and we also showed how to prove  certain languages are not regular now  remember finite automata are a very  um weak  model of computation they only have a  limited memory a finite memory um  and uh they still aren't able to do  certain things with their finite memory  but um  they are  you know um  if you compare them with  a general-purpose computer at least the  way we think about it  is  their uh  you know their capabilities are just  extremely limited and so  we're going to over the next uh few  lectures explore uh some more powerful  models we started doing that last time  uh the context-free grammars and as  we'll see there are certain things that  you can do i think we saw that last time  as well those are some things you can do  with context-free grammars that you  cannot do with finite automata  and uh but they still have their  limitations as we'll see um  so um  today what we're going to do we're going  to continue that discussion  uh by  looking at the definition of  context-free grammars in a more formal  way  uh one of the uh things that we do in  this course is develop practice with  formalism  and um so that that's going to be in the  spirit of that  we also are going to look at their  associated languages called the context  free languages so they're going to be  the counterpart for context-free  grammars of what the regular languages  are for the  finite automata of regular expressions  and then we're going to look at a an  automaton based model  which is the counterpart  to the grammars called the push down  automata and we'll see that those are  equivalent in power  and finally um well  and as part of that we will show how to  convert the context free grammars to the  push-down automata  and that's what that's what that's what  we're going to do today so we're going  to move on then and uh return to uh our  topic of context-free grammars that we  began last time and just to refresh your  memory um so here was that example of a  context free grammar that we gave last  time  and  it has  the way we're going to be writing  context-free grammars is using a bit of  a shorthand uh which looks like this  when you have multiple rules that have  the same variable on this on the left  hand side you can combine them into one  line  so these two rules over here  s goes to 0 s1 and s goes to r can be  written  in one line as a little bit more compact  way this is standard  as s goes to 0 s 1 or r that's where you  would read this  this is really two rules but written on  one line  okay  so uh as you recall uh from last time a  context-free grammar has terminals  variables and rules uh those are the  parts that we  speak of as well as one of the variables  being designate designated as a starting  variable which gets the whole thing  going so i'll talk remind you about how  that computation goes but um  so the variables are the symbols that  appear on the left-hand side of the  rules  the terminals are the other symbols  that appear in the grammar  and  the  we  take the grammar and we use it to  generate strings according to a certain  system and the system is that you start  out by writing down the uh starting  variable  and then once you've written down that  variable or whatever variables you have  written down you're allowed to  substitute them according to the rules  of the substitution rules that are in  the grammar so you can keep on replacing  the variables that you have with the  corresponding right hand sides  and then  you do that over and over again until  you don't have any variables left only  terminal symbols remain  and at that point you have generated a  string that's in the language of the  grammar  all right  so the  grammar's language is going to be  a language over strings  whose alphabet are the terminal symbols  so the terminal symbols in a certain  sense play the same role  as the input alphabet say for the finite  automata  okay the the the variables are kind of  internal working um symbols for the  grammar the terminals are sort of are  are the  symbols over which the language is is  written  okay we'll make that more precise in a  minute where when i give the formal  definition  so the result is the generated string  and the language of the grammar is the  language of all generated strings that  you can get using that grammar so  um and the important thing is that we  call that language a context free  language  okay so the that's like what we get from  that that's the analogous thing to the  regular languages but here we call them  context-free languages uh the things  that you can get from a context-free  grammar again just a quick recap of that  example we did last time  so you start out by writing the  start variable  and then i'm going to give you kind of  two views of that either in terms of the  tree of substitutions which we call the  parse tree or in terms of the resulting  string as you do the substitutions so  here is the uh parse tree here is the  resulting strings here are the  substitutions that you make um  and now we have r  um  coming from s and we have zero zero r  one one and now we have uh  r in turn becomes an  empty string and then uh the string that  we generated is zero zero one one that's  in the language of the grammar  and now uh if you  play with this a little bit you'll see  that the language of the grammar is all  strings that look like  runs of zeros followed by runs of ones  all right so uh is that clear  um i think we're gonna have a  um i think the next uh slide is gonna  have a  check in and so hopefully that'll uh  get us all together on the same page  with this  anyway um so here's our formal  definition anyway uh we have a  context-free grammar  is a four-tuple there are four parts of  context for grammar these are the parts  we've already been discussing uh the  variables the terminal symbols the rules  um the rules are always of the form a  variable  uh followed by you know with an arrow to  a string of variables and terminals  that's the way we write just write that  down so this is the form of the rule  and then we have the special start  variable and we all wrap that up into a  package this four tuple that's what the  context free grammar is  um  now we have here uh  and now  maybe a little bit overkill but let's  talk about what formally speaking what  the the way the grammar actually  processes  um and produces strings  um so  we're going to write uh the the standard  notation for this is that if you have  two strings of variables and terminals  so imagine you have an intermediate  string that you've generated in the  grammar so far  um  you know which might be like 0 0 s 1 1  from the previous line so that's an  intermediate string that is so far what  you've generated you're going to say um  maybe that's you and v might be the next  line down  uh  so that means we're going to write u  arrow v and that arrow is  the the word we're going to use is  yields we'll say u yields v  um if it can go from u to v just with  one substitution step  um  and then we'll write  u yields v in some number of steps or  actually we say u derives v  if it can go to u to v with some number  of substitutions instead of just one and  that's used with the um the yields arrow  with the star above it to mean some  number of  um another way of writing that is you  can say  u goes to v if there are a bunch of one  step moves that you can make which take  you from u to v  and that whole sequence is called a  derivation  of v from u  that's a sequence of steps that you go  through  doing these substitutions one by one to  take you from u to v according to the  rules of the grammar and lastly if u is  a starting  variable  then we call that sequence  just the derivation of v it could be the  derivation from the start variable but  that's kind of the assumed if you don't  say it's a derivation from anything the  derivation of v in the grammar is the  derivation of v from the start variable  it's just the sequence of substitutions  that you make kind of the you know what  you is  what i think you would expect  now the language of the grammar is the  set of all strings that um  of terminal symbols  that you can get from uh starting at the  starting variable of the grammar  okay and that's called a context-free  language as i mentioned before so it's a  context of free language it's the  language of of the grammar for some  grammar  okay so let's have a little check in  here again nothing too hard nothing to  get worried about anyway we're not  counting correctness uh here so um  let's just see  um i'm gonna give you two  uh things that look like grammars  which of them are actually grammars and  let me just pull that poll up uh here  okay so which of these are valid  grammars here  are they both  neither  i mean you can kind of make an argument  either you know either way for both of  them but both of them are kind of a  little have their own  a bit of weirdness to them uh in a way  if you if you if you  study them for a second  um okay that's pretty much converged um  share the results um  okay so um  so in fact  the correct answer is b  um  [Music]  and uh  why is only c2  first of all you know well what's wrong  with c1  c1 the problem with c1 is that the rules  have things besides a single variable on  the left hand side  so having a b1 on the left-hand side is  not legal in a context-free grammar  in fact there are other kinds of  grammars  there's a kind of grammar called a  context sensitive grammar the term  context free means you can replace the  variable  independent of its context in the  intermediate string so independent of  what's around it but here the this  substitution is going to you can replace  b but it depends on there being a one  next to it  um  this is called a context sentence set of  grammar but it's not the kind of  character we're going to be using which  are only context free grammar so c1 is  out  that's not a legit  context-free grammar  c2  the thing that's a little weird about c2  is if you try to generate a string in c2  you'll see  that  um there's no way to get rid of the  variables you're always going to be  stuck with the variable um now that  doesn't violate  the definition of a context-free grammar  so this is a context-free grammar but  but it's not going to be able to  generate any strings of only terminals  so this is a context-free grammar whose  language happens to be the empty  language but that's totally okay  so the correct answer here is b  that only c2 here is a valid  context-free grammar  okay um  common let's just see common question  does a string u derive itself  yes a string u derives itself uh  that's a little bit of a little bit of  an esoteric question there for us right  now but yes  um a string u in in this definition here  u arrow stars you is legit is illegal  maybe it isn't  uh according to the way i've written it  down here but it is it is uh a legal  thing it's not going to really matter  for you anyway but but it is illegal  okay let's continue um  let's do another somewhat interesting  example of a context-free grammar um  this is a grammar that is um  can generate arithmetical expressions  involving pluses and times  so here it is it has  how many rules well there are six rules  here each line represents two rules so e  goes to e plus t or t  t goes to t times f or f and f goes to  uh parenthesis e parenthesis or a  um  now so the  variables are going to be the symbols  that appear on the left hand side et and  f the terminal symbols which are going  to be the symbols of the language that  you're going to be generating um is  going to be the plus the time symbols  the parentheses are just terminal  symbols here so they're nothing not  playing any special role besides that  and then you have the a which is  representing kind of the um  operand on which those operators uh  would be working if there was actually  an expression you would use but they're  just symbols from the perspective of the  of the grammar  and lastly the start variable is going  to be as normally  appears on the upper left hand side  of the  grammar in terms of the way you write it  down  so sometimes you might specify a  different start variable but  otherwise if not specified it's that  it's the one in this corner here  okay so let's just see uh some examples  of uh using the grammar to generate  uh  a string so here is a string in the  language a plus a times a and and this  example will kind of reveal some other  interesting features  of the grammar but let's just see it in  operation first  so again i'll try to write it to you in  both ways in terms of the parse tree and  the resulting string as you're doing the  substitutions  so um  the  uh so first we start with the e  then we substitute e plus t and we see  the resulting string z plus t  but now we as we're doing additional  substitutions the resulting string that  you get is going to evolve um  accordingly  and  um so  i hope  it comes across  that this tree here picture on the left  shows you the structure of the various  substitutions whereas on the right it  just shows you the strings that you get  as a result of those substitutions  [Music]  so now you can  generate this particular string which is  now in the language of this grammar you  could generate all sorts of other  strings as well uh such as  you know parenthesis a plus a  parenthesis times a and so on  and in fact um  this might be a piece  of a programming language that you're  trying to describe  um  and one application of  context-free grammars is to describe the  syntax of programming languages you know  what are the legal programs that you can  write with in that programming language  and not only that  the  grammar can be used to automatically  generate the part of the compiler uh for  that programming language which will  interpret the um which would  uh  interpret the structure of the input you  know the so-called parser which will  figure out the meaning of the  uh input to the compiler so that the  compiler then can generate the code or  if it's an interpreter it could  interpret the uh the resulting um code  that you've given it um but the very  first step in both of those is to figure  out the meaning and the meaning is  um embedded within the structure of the  parse tree  now in the in the case of this  particular tree just to give you some  sense of what meaning i have in mind  this parse tree due to the structure of  this grammar has the precedence for  times over plus  so normally when we write down a plus a  times a you you assume you're going to  do the multiplication before you do the  addition even though it appears second  that's just the way we tend to write  things and and this grammar has grouped  it that way for you it groups the times  lower down in the tree than the plus so  the the times is going to be done  before the plus if you imagine doing  this in terms of the way the tree is  guiding you so the tree as you can see  has a certain amount of meaning built  into it now we're not actually going to  be using that in this course but i just  want to you  describe that as a an illustration of  how this material can get applied um  now so you know here is what i'm saying  that the tree contains additional  information  now that's also relevant um  if  you happen to have a grammar which might  allow multiple parse trees for the same  string  okay that can happen um  this  particular grammar does not allow that  but you might write other grammars that  as we'll see in a minute that could  generate the same string in multiple  ways with multiple different parse trees  now that might be undesirable  when you have a programming language  because  typically you want it to be only a  single meaning  for your code you don't want it to be  ambiguous and have multiple meanings  but  um  uh  ambiguity is it does occur and it's not  necessarily something we're always going  to uh see is a bad thing um so you know  i think as i mentioned last time a lot  of this subject originated with  linguistics um and that's where the  terminology comes from grammar  and um  uh  languages and so on the terminology for  the subject really comes out of  linguistics in fact one of the key  players for that is an emeritus faculty  member at mit noam chomsky he was  instrumental in setting a lot of this  stuff up um but  the  um  uh  you you can think of grammars as  applying to natural human languages as  well so  let me give you a little example as a  pop-up this is not directly uh pop-up a  check-in not directly relevant uh to the  material i just presented but just sort  of a curiosity um  if you take the english sentence the boy  saw the girl with the mirror  um  you know  does that is there only one  natural  uh interpretation for that sentence or  are there perhaps other natural  interpretations for that sentence so let  me pose that to you as another uh poll  here um and uh  so i ask you to think about how many  different meanings you might find  for  uh reasonable different meanings i mean  you can you know if  you're going to go wild you can think of  zillions of meetings but i think in  terms of reasonable meanings how many  meetings might you get for the sentence  uh  people are seeing more meetings than i'm  seeing  but that's okay  um  so this is a  quick why don't we just give this  another uh  10 seconds here  um  and then um  most of you are in agreement with me um  uh i can see here  that uh  uh  you are  uh seeing that there were two meanings  the two meanings that i see here for  this sentence are um  when you say the boys or the girl with  the mirror is who has the mirror  is it the boy seeing the girl through  the mirror  or is it the girl that has the mirror  and the boy just happens to see her so  two very different meanings for the same  sentence and that's the nature of  english it's just uh the the way um  uh it's it's an it's it's an ambiguous  um structure there and often we resolve  that ambiguity in english with other  information that we might have um but um  typically you don't want there to be  ambiguity when you have this a grammar  say describing a programming like  programming language  okay  um  so let's continue on that um  so talking a little bit more about  ambiguity i was promised you an example  where you might have an ambiguous  grammar um  so uh if you take these two grammars g2  and g3 the g2 from the last slide and g3  is a  similar grammar in fact has it's the  grammar that has the very same language  um that gives you the very same language  so l of g2 equals l of g3 both of them  are describing these arithmetical  expressions  um  but whereas g2 has a unique parse tree  for every string that you generate g3  can have multiple parse trees for the  same string  okay so i'm just going to illustrate  that here so here is the same string  that we generated last time a plus a  times a  in g3 the parse tree is actually even  simpler  here um so here i'm showing you the uh  there's just the two substitutions that  you  uh need to make starting from e and then  to to get the string a plus a times a  it's a it's a it's a simpler grammar in  a sense  um but you there's another parse tree  that'll give you the same  uh result and i've written that down  below here  upside down  um so uh the upper parse tree groups the  times before the plus  or more in more inside uh  than the plus but the lower parse tree  doesn't have that precedence built into  it and can alternatively interpret the  plus as being of higher precedence than  times and so in that sense we have here  um a grammar which is um has two  interpretations for this um  same string and we call that whoops we  call that an  an ambiguous  uh  derivation ambiguously derived string  and the grammar itself is called an  ambiguous grammar  um  uh okay  so let us continue on from that  by the way there's a question here that  came in  uh  uh like for example a plus a is that  ambiguous in g2 no  uh if you if you try to uh apply it  you'll see the way that g2 can produce a  plus a to a plus a plus a  is going to group the first two and then  the and then the the second one then the  last one you can't you can't derive  things in multiple ways um i mean  addition is associative but the grammar  doesn't  it doesn't the grammar for the grammar  um  it's going to have a prescribed order  for the way things get interpreted there  okay um so that's ambiguity um so let's  uh introduce push down automata um which  is going to be our automata counterpart  for  context-free languages  all right um so the way i'm going to  introduce push-down automata uh sort of  shifting gears here and now um  is  by first  uh giving a new view of finite automata  remember before when we presented a  finite automaton we gave it in terms of  a state diagram which i've kind of shown  here in miniature form on the picture  um  uh  we could do that for pushdown automata  but the picture tends to be very  complicated so i'm going to take a bit  of a higher level um  uh description for pushdown automata  which is i'm calling a schematic view or  a schematic diagram  and there i'm really not going to be  showing you the individual states but  i'm going to be showing you the  individual components of the machine at  a sort of more of an abstract  and from a more abstract perspective and  so from that perspective um  [Music]  a finite automaton has here what i'm  going to call the finite control so i'm  going to be suppressing the details of  the states  in this pic in this picture i'm going to  represent uh that those states as the  control  of the um of the dfa or the nfa they're  really going to be the same  from this  pictorial point of view um the input is  going to be appear on  as a string that's written down on what  we're calling a tape  again this is somewhat of an  anachronistic terminology back in my  days  people actually did feed their inputs  into computers on a tape sometimes  we don't do that so much anymore but  that terminology has stuck and it's  going to be a persisting um  uh later on in the course too so you  might as well get used to it um so the  input is going to appear on a tape or  sometimes called an input tape um and  the way the  machine actually will read that input  whoops uh is going to have a head  which is going to be  um starting at the left side and moving  from left to right reading the symbols  on the that appear on the input tape one  by one  okay so this is our picture of a an  a finite automaton  just redone  from uh last time just a different way  of picturing it now that's going to be  setting the stage for the picture of a  push down automaton because the push-on  automaton is like a finite automaton but  it has an extra feature has an extra  device attached to it and that's called  a stack  okay so here's a schematic diagram for  push down automaton  and that's going to be a stack  which is going to be  basically  a form of auxiliary  storage  now remember part of the limitation for  a finite automaton was that we had a  limited amount of memory  um  so  we were not able to do some very simple  things like counting because we had a  limited memory  so the push-on automaton is going to be  able to use its stack as a kind of  unbounded memory  but a memory that's very restricted in  the way it can be used so it's unlimited  but still restricted as we'll see  so  uh the way the push down automaton uses  um this extra memory  on on what we're calling the stack or  push down stack  is that you can write symbols  um instead of only reading symbols but  those symbols can only be read at the  very  written or read at the very top  of this list of symbols  and every time you add a new symbol the  other symbols that are already there get  pushed down hence the name people also  often refer to it as a stack of plates  uh in a cafeteria if you've ever seen  those things or you can remember back to  the days when we went to cafeteria uh  which getting further and further away  but um  uh if you have a cafeteria you had a  stack of plates and you know you as you  removed plates from them they were on a  spring and they kept coming up or if you  add more they would go down and it's the  same idea imagine these symbols here are  sort of on a um on a spring and the more  symbols you add them the more they go  down uh or if you remove them by read  and read them and remove them then they  move back up okay  so a push out of tabaton operates like a  finite like a non-deterministic finite  diameter as we'll see push down automata  for out for us are always going to be  allowed to be non-deterministic so we're  not going to be studying the  push on automata that are restricted to  be only deterministic um  uh i'll say more about that in a second  but like they operate like an nfa except  they can write  uh or  read  symbols from the top of the stack  and when they write they're adding the  symbol on pushing down that stack and  when they're reading they're removing  symbols from the stack  and thereby  lifting up the stack  okay  we give them special names so those of  you who have seen stacks already this is  you know i'm sure old hat for you  uh but  i'm sure now everyone has have seen  stacks before so uh the special name for  writing onto a stack is called a push  operation so that you're pushing a new  symbol down on the top of the stack and  it pushes everything down  whereas when you're reading a symbol and  removing it from the top of the stack  that's called a pop  so that's reading and removing  we we always think of those as going  together writing and editing and reading  and removing are combined  i mean you might wonder why can't i just  read it and leave it alone and not just  have remove it  you uh no  you can get that effect by reading it  and then uh which removes it and then  putting it back if you really want it to  stay there  but the way we're setting it up  is that  reading comes with removing writing  comes with adding  okay and they're called pushing and  popping  okay so let's do an example  um  so we have here a push down automaton  for a language we'll call d  it's a we've seen that language before  it's this uh it was um actually we use  the same uh letter for it the strings of  zeros followed by ones where the numbers  are the same of the two so zero to the k  one to the k  we couldn't do that with a finite  automaton we will be able to do that  with a push down automaton  um  and here i  uh  um i thought i wrote down the input here  but okay so the basic idea is i'm going  to give you a  uh an input  now and the pushdown of the tombiton is  supposed to test  whether that input is in the language  whether it's of this form  um  now it has  the ability to use the stack  because you know it's going to have to  count how many zeros it has and so the  way it's going to do it is you know i  have a bunch of zeros hopefully and then  a bunch of ones and you want to see that  they're uh of the same number it's going  to take the zeros and store them on the  stack  until it sees a one  and then one's going to start to read  the ones and it's going to remove the  zeros matching them off one to one with  the ones that it's seen  okay  so um you initially  first read the zeros and push them onto  the stack until you read a one and then  you read the ones uh while popping zeros  from the stack and you enter the accept  state if the stack is empty  just like with a finite automaton the  except entering the accept state only  counts when you're at the end of the  input  okay so um without me needing to say  anything it's really saying you enter  the accept state if the stack is empty  at the end of the input string but  that's kind of implicit because  it only takes effect at the end of the  input string if you enter an accept  state alone in the middle somewhere it  doesn't matter it doesn't affect  anything  um  okay uh  with that we're going to take a little  break and then we'll be back uh shortly  to look at push down automata again in a  more uh with a more formal definition  um let me put that's going to be five  minutes so if i can figure out how to  get my timer screen up here yes  and we will  uh  the camera when the candle burns down to  nothing  we will return and continue  okay  our candle has  burned down and has gone out i think i  never actually watched to see what would  happen at the end uh  so um we're good to go let's continue  um  uh  good  and let me put myself back in there  all righty  um  [Music]  so we were doing push down automata and  we just did that example of zero to the  k1 to the k  now that you have a stack  we can do uh all sorts of  fancy things that fina tamara could not  do  just with their limited  memory  okay so let's take a look at how we  define  push down automata  um  [Music]  so now uh push down automata is actually  going to be a six  tuple so it's a little bit got some  fancier stuff here to deal with not too  much but a little bit  um  and uh so it has uh let's look at these  a little bit more carefully since  there's some novelty here  we have the uh input alphabet just as we  had before  uh sigma  but we also have gamma  which is the alphabet for uh using the  stack  now um  you might ask why don't we just use the  same alphabet well it's really a matter  of convenience um  that we would like to be able to have  other symbols that uh could include the  input alphabet but could include other  things as well so it just gives you more  flexibility in terms of what you're  going to be writing on the stack  um  okay the transition function more  complicated uh so i think i don't know  if i'm going to even say what the other  things are but you know these are the  accepting states this is the starting  state so that's um the same as before  but the transition function is is a much  different animal here in a push-down  automaton so let's just try to uh unpack  that and understand what it's saying  the transition function tells us how the  machine operates how it goes from state  to state  how it's going to read the input how it  reads from the stack and what it might  write on the stack too because that's  going to all happen under program  control  so um what this means here  is that  you know when the machine is in a  particular state  um  reading a particular input symbol let's  ignore the empty string uh  subscript for the monument so it's in a  particular state  reading a particular input symbol and  with a certain  stack symbol appearing at the top of the  stack  so that's all information that's  available to the controller of this  pushdown automaton  the transition function  the current state  the next input symbol and the symbol at  the top of the stack  and once we have that  we know what new state we can go into  and what new symbol  we can write on the top of the stack  okay so that's what the uh  um right-hand side of this function  specification means so this is where uh  kind of the input to the function this  is going to be the output of the  function state entry and a new symbol to  appear on the stack so this is the  popping symbol this is the pushing  symbol  so now there are two things that bear  explanation here first of all now this  is this is a power set  so this is going to be representing as  we did before  um a non-deterministic machine  we may have several possibilities and  we're going to represent that as a set  of possibilities  for the machine that it could go to at  any point  i will give an example of how a push  down automaton uses its non-determinism  in a minute  the other thing is is these epsilons so  we have to understand why they are there  and we remember we had them for the nfas  corresponding to when the nfa had an  epsilon transition  an empty transition so it could go along  that transition without reading any  input  so this is going to play the same role  here  so if you have um instead of an input  symbol  from sigma appearing in this um uh  part of the  you know uh  for the for the transition function  instead you have an  you have an epsilon appearing  that means that the transition that that  move of the machine can happen without  reading any input symbol  just like for the nfa's  or if you have an epsilon appearing for  the stack symbol that means you can make  that transition without reading any  stack symbol  so any whatever's sitting on the top of  the stack it doesn't matter the machine  can make that move  and it won't read anything either we're  not going to pop anything it's just  going to uh be proceeding without  looking at the stack at all  or it might have both of them which case  it's going to go from one state to  another state without looking at the  input or at the top of the stack  so um  that's what the possibility of epsilon  means  for the um  for the transition function in the in  those places  the epsilon appearing over here means  something a little different but very  similar what that means is that  um  [Music]  we won't write anything on the top of  the stack that's going to be  we will go to a new state but without  doing any writing so we'll leave the  stack alone  um so here means we're not going to read  anything  if it's in this position in this  position means we're not going to write  anything  okay so all of those things are valid  and legal from the perspective of you  know constructing a push-down automaton  and i've kind of illustrated here you  know just with a little bit of an  example if you have delta that applies  to some state q  reading an input symbol a and popping a  c from the top of the stack  then you might have let's say in this  case two possibilities that you might  end up going to you might end up going  to states r1 or to states r2  and in the former case you'll end up  writing a d pushing a d onto this top of  the stack and in the latter case you  would be pushing an e onto the top of  the stack  okay so this is i'm trying to help you  look at this notation you can you know  you know i hope this is clear to you um  i'm sure for some of you it's too slow  but others of you i'm trying to help  along but if you're really struggling  with this notation at this point you  know you really have to going to have to  dig in and make sure you follow it  because it's only going to get harder  from there i'm going to stop being uh  going over these these kinds of points  and if you're still struggling you can't  get it this is not the right class for  you i'll just i'll be honest  um  because we're just gonna be  taking off like you know we're gonna  start to accelerate fairly quickly  okay so it's a non-deterministic machine  um we accept uh like we did before uh  there might be several different threads  of the computation you're going to end  up accepting um  if some of the threads  or what at least one of the threads end  up ends up in an accept state at the end  of the input string  okay  that's when we machine overall accepts  it's just the way we normally think of  non-determinism  again you can use the models that we had  before in terms of guessing or  parallelism whatever works for you and  sometimes different things work in  different different different occasions  uh but that's how non-determinism works  we'll do an example now okay here is a  push on automaton for a different  language we haven't seen before i don't  think well maybe we have um  which is  um going to be  using its non-determinism in an  essential way this is a  language that is going to where  non-determinism is going to be critical  um  without it you can't uh a deterministic  push on automaton which is something by  the way that people study um and there's  a section of my book about that section  2.4 because it has relevance to  applications we're not going to address  that in this course so you can just skip  section 2.4 it's pretty technical uh  i'll have to say um but still  quite interesting and beautiful if  you're if you like that stuff but it's  technical we won't do it  um  so here is um this input string  w w reverse  for all possible w's over our alphabet  zero one and what w reverse by the way  means is writing w backwards  uh so this is all strings followed by  a reversal of the same string  okay the string written backwards um  really you can think of these as uh um  you know so these are strings that um  well here's an example like 0 1 1  1 1 0 the string written backwards so  this is a string in the language  appearing on a tape as i as i described  okay so how is the machine going to um  recognize this language it's kind of  pretty similar somewhat similar to  before but with one important difference  um and if you imagine i think again i  like to use this kind of and  anthropomorphizing these things putting  yourself in the place of the machine  and thinking how you would do it  um  so if you imagine getting these symbols  one by one zero one one you don't know  what's coming next as you're getting the  symbols  you have to figure out how to match off  the second half with the first half so  you're gonna put the first half on the  stack  and then  you're gonna remove the first half and  match it off with the with the  with the second half  con conveniently the first half comes  out backwards the stack is a first in  last out kind of thing so um  it comes out in reverse order so that's  perfect for matching off with the second  half  uh but the tricky part  with this language  is how do you know when you're at the  when you're at the middle because you  don't get to see  um the rest  you only get to see what you've seen so  far you don't know what's coming  so you know  uh  when you read that second one at this  point you read zero one one now you're  reading that second one you don't know  that perhaps there's just going to be a  zero following that and it's going to be  all  so maybe you should be deciding to that  this point here that i've marked um uh  is the  midpoint and you you  put zero one on the tape and then start  popping the second the  the second one and matching it off with  the first one um that might that would  be a tempting thing to do but you just  don't know  um and that's where the non-determinism  is going to be essential so let me let  me write down more of this so what  you're going to do is you're going to  read and push input symbols but not  deterministically guessing that you're  at the middle so you're going to now  deterministically either repeat that and  continue to read and push symbols onto  the stack or you're going to go to two  deciding that  or guessing that you're at the midpoint  and now it's time to start reading and  popping instead of reading and pushing  so you're going to read input symbols  and popping that popping the stack  symbols comparing the  the two the the symbols that you're  reading with the top the symbols you're  removing from the stack  if they ever disagree  then this thread of the non-determinism  rejects  because  either the input is not in the language  or at least you've made a wrong choice  as to where the midpoint is  um  and then you're going to enter the  accept state if the stack is empty  and ignore this part for the moment of  this software reference uh  let's just um i'll speak to that in a  second but um i just want to make sure  we understand that at an intuitive level  how this machine is using its  non-determinism  to  uh recognize this language because the  non-determinism is critical and it's  important that you understand it um  so let me just make some side comments  and then we'll come back to this  software remark so first of all  one question that comes up a lot  well um not paying attention to the chat  here sorry so if you're not getting  answer from me try the tas but um one of  the  uh  one of the um questions that comes up a  lot when they're thinking about  non-determinism for push down automata  is what happens to the stack  the stack gets replicated  in the non-determinism every time the  machine forks just like everything else  gets replicated so an entire every time  there's a fork in the non-determinism  and the machine branches into multiple  possibilities the entire machine  replicates the current state the current  position of the head the what's the  stack and its contents all of that gets  replicated um and the two  um  sides of the the two branches or the two  sides of the fork each go on  independently in their merry way  okay doing their own thing independently  and then if any one of them accepts  that's the only way there's sort of a  kind of a communication because the one  that accepts raises the flag and then uh  the overall machine is set to accept  okay so the non-deterministic forks  replicate the stack of saying it uh just  want to make sure you've got that  um and then this language requires  non-determinism that that i said earlier  um so our pda push down time model is  going to be non-deterministic i mean you  might have examples which are  deterministic but the model is going to  always allow non-determinism okay what's  this bit about the software  so if you look at this formal definition  here it doesn't have anywhere in it the  ability to test if the stack is empty  that's not part of the hardware  specification at least as we are  describing it for a push-down automaton  you can might imagine someone somebody  else describes push on the tama in some  other way which gives that as a  primitive but we're not going to do that  why because we don't need a primitive  for that you can get the effect  of testing if there's an empty stack  even if you don't have that as a  primitive for the machine  because  uh what you could do is you can start  the machine off when it very at the very  first thing it does is it writes a  special symbol to mark um the bottom you  know what's going to eventually be the  bottom of the stack there's going to be  some special symbol maybe a dollar sign  symbol  that's the very first thing that the  machine does and then it proceeds as  before if ever sees that dollar sign  symbol again it knows the stack is  effectively empty  okay so you can get the effect of  testing for the stack being empty even  if you don't have a primitive for that  and we're not going to actually fuss  about some details like that um so you  can use when you're writing your  homework sets you can just use the  assumption that you can test for empty  stack which is what i'm going to do  myself  okay  um  so uh let's continue on um  all right so  yeah so now what we're going to do we're  going to prove our one  so far we really haven't proved anything  we've just given some definitions and  some examples today was going to now  we're going to come to our big theorem  which actually is um important and has  some meat to it um and that is  how do we convert you know i claim that  to put context-free grammars and push  down automata are equivalent  well we're going to prove that  equivalence in one direction converting  the grammars to push down automata  okay so  um let me show you how that goes in some  ways  um  it's a nice proof not super complicated  but it has some meat to it  uh  so if i give you a grammar here  what i'm going to tell you how to do is  convert that grammar into push down  automaton which does the same language  okay so  if you're  checked out for a minute please come  back because we're sort of starting this  topic now that you can think a bit about  this  good good uh re-entry point if you're  sort of uh been doing something else  which i can't tell good thing uh  so all right so converting a given  grammar to a push down automaton how is  that going to work  so the idea is  okay  actually before i tell you the idea  let's just think about it together  again i like to think about the push  down automaton building a push on  automaton the way you would do it  so  a grammar is a generation device it  generates strings a push down automaton  or thinking about it as you you're a  recognizer you're given an input and you  want to know is it in the language so  you want to know is it possible for that  grammar to generate that input you're  given  so how are you going how are you going  to how are you going to do that um and  uh  are you going how are you going to um  test if the  input is in the language of the grammar  well the thing that you would naturally  do is you say well can i derive that  string using the rules of the grammar  let me start with the start string  and try to do substitutions  and see if i get the string  i'm given  and if i can get it then i know it's in  the language  right that's a natural thing to do  you're just going to try try to do so  you know try to do the substitutions  even get to the string now the thing is  there are many there might be many  different substitutions that you could  make  and you know that seems like a really  challenging uh hard thing to figure out  which substitutions to use among the  many possibilities that's where  non-determinism is going to come in  because you can think of yourself as  guessing which substitutions to make and  you're always going to make the right  guess  so the choices of which substitutions to  make that's not going to be a  problem for you that's going to be  managed by the non-determinist so  imagine you're always going to make the  right substitution but now the challenge  is how do you keep track  of the intermediate results as you're  doing those substitutions  um  and  that's where the stack is going to come  in the machine is going to write down  those intermediate results on the stack  but even there there's a subtlety that's  an important subtlety that you have to  look at so let's try  pulling that together so far before i  get to that subtlety  uh okay so as i mentioned  um  uh  the push down automaton is is going to  start out with the starting variable and  is going to guess to be guessing the  substitutions to make it's going to keep  the intermediate results on the stack  when it's done doing all the  substitutions and it has only terminal  strings on the stack it can compare with  the input and see if it got the right  thing  so if it made it all the right guesses  so you think of it as guessing doing the  right guesses but in the end you have to  check to make sure that you've got the  right the you that you did all the right  thing and you accept when when things um  have matched up you know you and you  made all the right guesses so you have  to in the end you have to check that you  actually got  that input uh  from doing those substitutions  okay so let's let's let's try to see  this  operating in action and then you'll see  the subtlety the the delicacy the the  the the  the a problem that's going to arise  hopefully you're following at least in  part what i'm just saying so far  okay so here is the input  we do know that that's an input in the  language of the we we've been seeing  this example multiple times so here's  the input appearing on the input tape a  plus a times a  now the push on automaton is supposed to  be accepting that input because it's in  the language of the ground  okay so it's going to operate by first  writing  to start off the starting variable on  the stack  and then doing the substitutions as  we're going along  okay so um  we're going to substitute we we we uh e  goes to e plus t  so we do that first substitution  um and then  we do the next substitution here the e  so i'm i'm if you're looking at this  tree here that means this is the right  tree for that uh  for that input so we we substitute e by  t  uh so far so good the automaton can do  to make that substitution  then the next substitution is going to  be a little uh so we're where e plus t  we did we substitute here we got t plus  t and now we're going to substitute the  t times f which is this t over here we  want to substitute that and that appears  as t times f now on the stack  now if you're following me you should be  suddenly getting nervous  because  we just cheated  it's okay  um doing substitution doing these  replacements at the very top of the  stack because the push down automaton  has access to the top that's how stacks  work  but it does not have access deep down  within the stack  that is  uh not house style that is not how  stacks work so that's cheating  but  ignoring the cheating for the minute if  you could replace those um  do those substitutions deep down within  the stack this would all work we would  be good you would do the substitutions  uh one after another until you ended up  with no uh variables and then you have  the string here and you're going to  match it off and compare it with the  input it's all done in the right way so  that the things are in the right order  so the  you know the  after all the substitutions you'd have a  plus a times a sitting here on the stack  you match you compare that with the  input it's going to match up and you'll  end up accepting  all good so how do we deal with that  problem here problem access below the  stack of step top of stack is cheating  what are we going to do instead  so the idea is actually pretty simple  well if you've understood what i've said  so far the you know fixing that is  actually not too bad um  uh  uh  sort of fading out here  uh  put some more light on the  on my image  um  so  how do we do that uh  how do we get the effect of the access  below the top of the stack  and the way we're going to do that is um  by making the obs what we're going to do  we're only going to do substitutions  that we can make at the top of the stack  so whenever there's a variable at the  top of the stack we're going to do the  substitution because we the top we can  access  now what happens if we have a terminal  symbol sitting at the top blocking our  way from accessing variable variables  below  well  actually that's an easy case to handle  because we have terminal symbols sitting  on the top they're never going to change  anyway so you might as well match them  with the input at that time  so when you have a terminal  sitting at the top we'll just read  another input symbol and do it and match  it off there  and we just keep reading the terminal  symbols off until we have a variable  sitting on the top then we do a  substitution  um and we keep substituting variables  until we have a terminal then we read it  then we compare it with the input  and in so doing um we will end up  getting the same effect that i described  before without ever needing to dig down  into the into the interior of the stack  and doing substitutions there they're  all going to rise up to the top uh and  we can always do them at the top  okay um so anyway uh you know i forgot  to do that here so instead  only substitute variables when they're  at the top of the stack uh if a terminal  is on the top pop it and compare with  the input and reject if they're not  equal so if you ever have something  which is not matching the way it's  supposed to do that i mean that thread  is just gonna  fail you know then it was not  a bad  uh non-deterministic choice was made or  maybe the input was not in the language  anyway and there are no no good choices  um  so here my animation broke here so let  me just  put the whole thing up in front of you  so here is the actual construction  um  push the start symbol on the stack  if the top of the stack uh is a variable  replace it with a corresponding  right-hand side  doing a non-deterministic choice among  the various possibilities  if it's a terminal you pop it and match  it with the next input symbol and if the  stack is empty you accept  so here is how the stack would actually  look for this particular input  you know it would start off the same  you'd have e and then substitute with e  plus t  and then  we're going to always substitute do the  substitutions at the top  so e gets substituted by f  oh is that right  no  this slide i  messed up i apologize so e gets  substituted by t which gets substituted  by f  um and the point is that when you get to  an a sitting at the top uh forgive the  typos here  now we have a terminal symbol and that's  going to get matched off with the next  input symbol  and get removed and now we have just the  plus and the t left  and then the plus is also a terminal  symbol that's going to get matched over  the next thing we just have a t sitting  on the top and now we can do a  substitution  okay so that's how uh it works  okay i that's all i wanted to say i  think um oh yeah there's one just  remarked so this is not we're not going  to prove this but i think it's uh i i do  need to say this that actually you can  do the conversion in the other direction  too you can convert a um  so  a is a context-free language if and only  if  some push-down automaton recognizes a  and  um if you haven't  seen if and only if it's a it's an  expression i'm going to use  uh  uh again over and over so you should get  used to it it stands for if and only if  and which just means the implication  goes both ways so a is an uh  context-free  context-free language implies that some  push on time time recognizes a and vice  versa  um so there's really two things you need  to prove whenever you have an if and  only if you have to prove both  directions um  so uh thinking about that way splitting  them in half um the the forward  direction we've already proved  converting a push  context  uh free grammar to a push down on  automaton the reverse direction we're  not going to prove it's in the book if  you're curious  and you're responsible knowing that the  fact is true but you don't have to know  the proof  uh which is a somewhat comp a little bit  complicated and  you know i think it would take us too  long to go through it so you're not  responsible for it  um  so there's a last check in here that i  have for you  which is just a question uh  uh which you can answer based on the  material that we presented so far is  every regular language also a  context-free language  just yes no or  you're not sure  so let me launch that as a poll here  okay about to close  um  [Music]  ending polling  and sharing results  this one i think you you pretty much uh  most of you got some of you uh  are not sure  um  every language is in fact a context-free  language  um  and the way to see that is that every  regular language can be done by a dfa or  an nfa as we already showed  and um  dfa or an nfa is really just a push-on  automaton that never uses its stack  so  you can always think of a dfa as a push  down automaton and we already argued  that pushdown automata  are equivalent to context-free grammars  and so they do the context-free  languages  so anything that you can do with a dfa  you can also do with a push-down  automaton and so is therefore uh um  all the regular languages are also  context-free languages  okay so with that let's just uh kind of  pull things together  um a little quick recap as to what we've  been doing so far in the class we have  the regular languages and the  context-free languages  we had the two forms of sort of getting  at them the recognizer form which is  like the automata based perspective  like either a dfa or an nfa in the case  of the regular languages push down  automaton for the context-free languages  and for the generators we had the  regular expression  uh for the regular languages and the  context-free grammars for the for the  contextual languages okay  um and as we just pointed out in our  most in our last check-in the regular  languages form a subset and in fact a  proper subset of the context-free  languages uh as shown in this venn  diagram because we have already  exhibited languages that are  context-free but not regular  all right  so quick review we've defined the  context-free grammars and their  associated languages the context-free  languages we define push-down automata  and we showed how to convert context  free grammars to push down automatic  um  and that's all i have for you today  okay here's a question i'll answer to  everybody why do we strict ourselves to  a stack why don't we use random access  memory we will use random access memory  um for the next model called the turing  machine and we're going to introduce  that i think next to the next lecture so  that's going to be the  model that we're going to stick with  throughout the term  but we have not uh we were kind of using  introducing weaker models  uh as a kind of a prelude uh to the more  general purpose uh computational model  um  uh  really to get ourselves  warmed up  and also um because  um  for the weaker models you can fully  analyze them  um in a way that you cannot return  machines you you will be able to as you  will see  you can  determine properties of languages for  the weaker models that you cannot for  the more general models and so  i think that's helpful to have that  perspective that  you know for some cases you can get get  a full analysis and some other cases you  cannot um  but anyway um  that's the reason why we're stricter  restricted to the stack besides the fact  that these models have applications um  that i think are  worth  you people seeing  um  why yeah some reason we chose a stack  well why did we choose a stack and not  some other data structure for our uh  temporary for our our extra storage  and the reason  for a stack for one thing the stack is  what is exactly what you need to get to  the correspondence with context-free  grammars  um if you use some other  storage like the queue for example  instead of a stack in fact you get a  very different outcome and  it's an actually interesting exercise to  see what happens what do you get if you  use a queue as an external storage  instead of as a stack uh  it's a good homework problem maybe i'll  assign it  um  uh let's see um  nfa  okay  uh  we showed so  um  we  we showed that non-determinism can be  eliminated for finite automata so nfas  and dfas are equivalent  uh what about for for pushdown automata  uh the answer is no they're not  equivalent i think i mentioned that  earlier but i don't mind repeating it  there are certain languages that can be  done only with non-deterministic push  down automata and cannot be done with  deterministic push down automata for  example that language w w reverse  that requires the non-determinism in  order for the machine to be able to  guess where the middle is  so um okay i'm gonna head off uh thank  you guys see you on tuesday  you

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308
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310
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318
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320
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321
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328
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329
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330
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331
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332
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333
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335
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341
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343
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344
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345
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353
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354
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355
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357
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358
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359
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361
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369
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371
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372
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377
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378
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379
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381
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382
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383
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384
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385
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386
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387
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388
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389
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390
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391
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392
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393
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394
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395
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396
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397
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398
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399
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400
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401
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402
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403
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404
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405
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406
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407
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408
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409
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410
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411
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412
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413
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414
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415
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416
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417
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418
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419
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420
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421
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422
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423
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426
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427
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428
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429
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430
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431
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432
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433
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434
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435
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436
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437
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438
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439
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440
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441
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442
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443
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444
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445
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446
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447
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448
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449
00:15:16,710 --> 00:15:19,269

 

450
00:15:19,269 --> 00:15:20,790

 

451
00:15:20,790 --> 00:15:22,949

 

452
00:15:22,949 --> 00:15:24,310

 

453
00:15:24,310 --> 00:15:27,030

 

454
00:15:27,030 --> 00:15:30,470

 

455
00:15:30,470 --> 00:15:32,150

 

456
00:15:32,150 --> 00:15:33,829

 

457
00:15:33,829 --> 00:15:35,990

 

458
00:15:35,990 --> 00:15:37,749

 

459
00:15:37,749 --> 00:15:39,749

 

460
00:15:39,749 --> 00:15:41,829

 

461
00:15:41,829 --> 00:15:44,629

 

462
00:15:44,629 --> 00:15:46,150

 

463
00:15:46,150 --> 00:15:48,150

 

464
00:15:48,150 --> 00:15:48,160

 

465
00:15:48,160 --> 00:15:49,829


466
00:15:49,829 --> 00:15:51,430

 

467
00:15:51,430 --> 00:15:53,590

 

468
00:15:53,590 --> 00:15:55,590

 

469
00:15:55,590 --> 00:15:57,749

 

470
00:15:57,749 --> 00:16:00,230

 

471
00:16:00,230 --> 00:16:04,389

 

472
00:16:04,389 --> 00:16:04,399

 

473
00:16:04,399 --> 00:16:05,430


474
00:16:05,430 --> 00:16:07,350

 

475
00:16:07,350 --> 00:16:10,069

 

476
00:16:10,069 --> 00:16:12,150

 

477
00:16:12,150 --> 00:16:13,670

 

478
00:16:13,670 --> 00:16:15,670

 

479
00:16:15,670 --> 00:16:17,189

 

480
00:16:17,189 --> 00:16:19,269

 

481
00:16:19,269 --> 00:16:21,030

 

482
00:16:21,030 --> 00:16:22,710

 

483
00:16:22,710 --> 00:16:22,720

 

484
00:16:22,720 --> 00:16:24,710


485
00:16:24,710 --> 00:16:26,790

 

486
00:16:26,790 --> 00:16:26,800

 

487
00:16:26,800 --> 00:16:27,590


488
00:16:27,590 --> 00:16:29,829

 

489
00:16:29,829 --> 00:16:32,069

 

490
00:16:32,069 --> 00:16:34,150

 

491
00:16:34,150 --> 00:16:36,069

 

492
00:16:36,069 --> 00:16:38,230

 

493
00:16:38,230 --> 00:16:40,470

 

494
00:16:40,470 --> 00:16:40,480

 

495
00:16:40,480 --> 00:16:41,910


496
00:16:41,910 --> 00:16:41,920

 

497
00:16:41,920 --> 00:16:42,790


498
00:16:42,790 --> 00:16:43,990

 

499
00:16:43,990 --> 00:16:45,030

 

500
00:16:45,030 --> 00:16:46,470

 

501
00:16:46,470 --> 00:16:49,269

 

502
00:16:49,269 --> 00:16:51,590

 

503
00:16:51,590 --> 00:16:53,749

 

504
00:16:53,749 --> 00:16:55,430

 

505
00:16:55,430 --> 00:16:58,710

 

506
00:16:58,710 --> 00:16:58,720

 

507
00:16:58,720 --> 00:17:00,230


508
00:17:00,230 --> 00:17:02,230

 

509
00:17:02,230 --> 00:17:04,710

 

510
00:17:04,710 --> 00:17:06,549

 

511
00:17:06,549 --> 00:17:07,750

 

512
00:17:07,750 --> 00:17:10,789

 

513
00:17:10,789 --> 00:17:12,309

 

514
00:17:12,309 --> 00:17:14,789

 

515
00:17:14,789 --> 00:17:16,949

 

516
00:17:16,949 --> 00:17:19,189

 

517
00:17:19,189 --> 00:17:21,510

 

518
00:17:21,510 --> 00:17:23,189

 

519
00:17:23,189 --> 00:17:23,199

 

520
00:17:23,199 --> 00:17:24,230


521
00:17:24,230 --> 00:17:27,029

 

522
00:17:27,029 --> 00:17:29,990

 

523
00:17:29,990 --> 00:17:32,710

 

524
00:17:32,710 --> 00:17:35,830

 

525
00:17:35,830 --> 00:17:39,029

 

526
00:17:39,029 --> 00:17:41,110

 

527
00:17:41,110 --> 00:17:41,120

 

528
00:17:41,120 --> 00:17:41,990


529
00:17:41,990 --> 00:17:44,950

 

530
00:17:44,950 --> 00:17:48,870

 

531
00:17:48,870 --> 00:17:50,789

 

532
00:17:50,789 --> 00:17:54,230

 

533
00:17:54,230 --> 00:17:54,240

 

534
00:17:54,240 --> 00:17:55,750


535
00:17:55,750 --> 00:17:57,990

 

536
00:17:57,990 --> 00:18:00,310

 

537
00:18:00,310 --> 00:18:02,950

 

538
00:18:02,950 --> 00:18:05,750

 

539
00:18:05,750 --> 00:18:08,070

 

540
00:18:08,070 --> 00:18:09,430

 

541
00:18:09,430 --> 00:18:12,710

 

542
00:18:12,710 --> 00:18:14,630

 

543
00:18:14,630 --> 00:18:17,270

 

544
00:18:17,270 --> 00:18:20,630

 

545
00:18:20,630 --> 00:18:22,630

 

546
00:18:22,630 --> 00:18:24,470

 

547
00:18:24,470 --> 00:18:25,990

 

548
00:18:25,990 --> 00:18:28,310

 

549
00:18:28,310 --> 00:18:31,110

 

550
00:18:31,110 --> 00:18:33,590

 

551
00:18:33,590 --> 00:18:36,390

 

552
00:18:36,390 --> 00:18:38,549

 

553
00:18:38,549 --> 00:18:40,950

 

554
00:18:40,950 --> 00:18:43,110

 

555
00:18:43,110 --> 00:18:44,870

 

556
00:18:44,870 --> 00:18:46,549

 

557
00:18:46,549 --> 00:18:48,310

 

558
00:18:48,310 --> 00:18:50,950

 

559
00:18:50,950 --> 00:18:54,390

 

560
00:18:54,390 --> 00:18:56,950

 

561
00:18:56,950 --> 00:18:59,510

 

562
00:18:59,510 --> 00:19:01,750

 

563
00:19:01,750 --> 00:19:03,350

 

564
00:19:03,350 --> 00:19:05,750

 

565
00:19:05,750 --> 00:19:07,510

 

566
00:19:07,510 --> 00:19:09,110

 

567
00:19:09,110 --> 00:19:11,270

 

568
00:19:11,270 --> 00:19:12,710

 

569
00:19:12,710 --> 00:19:16,150

 

570
00:19:16,150 --> 00:19:19,990

 

571
00:19:19,990 --> 00:19:22,070

 

572
00:19:22,070 --> 00:19:23,510

 

573
00:19:23,510 --> 00:19:23,520

 

574
00:19:23,520 --> 00:19:25,350


575
00:19:25,350 --> 00:19:28,789

 

576
00:19:28,789 --> 00:19:28,799

 

577
00:19:28,799 --> 00:19:29,909


578
00:19:29,909 --> 00:19:32,470

 

579
00:19:32,470 --> 00:19:35,270

 

580
00:19:35,270 --> 00:19:35,280

 

581
00:19:35,280 --> 00:19:38,150


582
00:19:38,150 --> 00:19:41,510

 

583
00:19:41,510 --> 00:19:41,520

 

584
00:19:41,520 --> 00:19:42,470


585
00:19:42,470 --> 00:19:44,870

 

586
00:19:44,870 --> 00:19:46,549

 

587
00:19:46,549 --> 00:19:48,549

 

588
00:19:48,549 --> 00:19:50,310

 

589
00:19:50,310 --> 00:19:53,110

 

590
00:19:53,110 --> 00:19:55,909

 

591
00:19:55,909 --> 00:19:57,430

 

592
00:19:57,430 --> 00:19:57,440

 

593
00:19:57,440 --> 00:19:58,310


594
00:19:58,310 --> 00:20:00,230

 

595
00:20:00,230 --> 00:20:01,669

 

596
00:20:01,669 --> 00:20:04,070

 

597
00:20:04,070 --> 00:20:06,549

 

598
00:20:06,549 --> 00:20:06,559

 

599
00:20:06,559 --> 00:20:07,430


600
00:20:07,430 --> 00:20:07,440

 

601
00:20:07,440 --> 00:20:09,190


602
00:20:09,190 --> 00:20:09,200

 

603
00:20:09,200 --> 00:20:10,710


604
00:20:10,710 --> 00:20:14,029

 

605
00:20:14,029 --> 00:20:16,230

 

606
00:20:16,230 --> 00:20:19,909

 

607
00:20:19,909 --> 00:20:21,750

 

608
00:20:21,750 --> 00:20:24,230

 

609
00:20:24,230 --> 00:20:26,549

 

610
00:20:26,549 --> 00:20:28,789

 

611
00:20:28,789 --> 00:20:30,390

 

612
00:20:30,390 --> 00:20:30,400

 

613
00:20:30,400 --> 00:20:31,909


614
00:20:31,909 --> 00:20:34,870

 

615
00:20:34,870 --> 00:20:36,230

 

616
00:20:36,230 --> 00:20:38,390

 

617
00:20:38,390 --> 00:20:40,070

 

618
00:20:40,070 --> 00:20:42,390

 

619
00:20:42,390 --> 00:20:43,750

 

620
00:20:43,750 --> 00:20:47,590

 

621
00:20:47,590 --> 00:20:47,600

 

622
00:20:47,600 --> 00:20:48,630


623
00:20:48,630 --> 00:20:48,640

 

624
00:20:48,640 --> 00:20:49,750


625
00:20:49,750 --> 00:20:49,760

 

626
00:20:49,760 --> 00:20:51,430


627
00:20:51,430 --> 00:20:52,950

 

628
00:20:52,950 --> 00:20:54,950

 

629
00:20:54,950 --> 00:20:56,630

 

630
00:20:56,630 --> 00:20:58,070

 

631
00:20:58,070 --> 00:21:00,789

 

632
00:21:00,789 --> 00:21:03,110

 

633
00:21:03,110 --> 00:21:04,630

 

634
00:21:04,630 --> 00:21:07,750

 

635
00:21:07,750 --> 00:21:10,390

 

636
00:21:10,390 --> 00:21:12,950

 

637
00:21:12,950 --> 00:21:12,960

 

638
00:21:12,960 --> 00:21:13,990


639
00:21:13,990 --> 00:21:15,029

 

640
00:21:15,029 --> 00:21:18,070

 

641
00:21:18,070 --> 00:21:18,080

 

642
00:21:18,080 --> 00:21:19,110


643
00:21:19,110 --> 00:21:21,190

 

644
00:21:21,190 --> 00:21:22,870

 

645
00:21:22,870 --> 00:21:24,950

 

646
00:21:24,950 --> 00:21:28,390

 

647
00:21:28,390 --> 00:21:32,789

 

648
00:21:32,789 --> 00:21:34,950

 

649
00:21:34,950 --> 00:21:37,510

 

650
00:21:37,510 --> 00:21:37,520

 

651
00:21:37,520 --> 00:21:39,029


652
00:21:39,029 --> 00:21:41,430

 

653
00:21:41,430 --> 00:21:42,710

 

654
00:21:42,710 --> 00:21:44,390

 

655
00:21:44,390 --> 00:21:45,669

 

656
00:21:45,669 --> 00:21:47,029

 

657
00:21:47,029 --> 00:21:49,029

 

658
00:21:49,029 --> 00:21:49,039

 

659
00:21:49,039 --> 00:21:49,830


660
00:21:49,830 --> 00:21:51,110

 

661
00:21:51,110 --> 00:21:51,120

 

662
00:21:51,120 --> 00:21:52,310


663
00:21:52,310 --> 00:21:54,070

 

664
00:21:54,070 --> 00:21:54,080

 

665
00:21:54,080 --> 00:21:55,190


666
00:21:55,190 --> 00:21:57,270

 

667
00:21:57,270 --> 00:21:58,549

 

668
00:21:58,549 --> 00:22:01,990

 

669
00:22:01,990 --> 00:22:04,070

 

670
00:22:04,070 --> 00:22:04,080

 

671
00:22:04,080 --> 00:22:05,909


672
00:22:05,909 --> 00:22:08,230

 

673
00:22:08,230 --> 00:22:11,510

 

674
00:22:11,510 --> 00:22:14,230

 

675
00:22:14,230 --> 00:22:15,669

 

676
00:22:15,669 --> 00:22:15,679

 

677
00:22:15,679 --> 00:22:16,549


678
00:22:16,549 --> 00:22:18,710

 

679
00:22:18,710 --> 00:22:21,029

 

680
00:22:21,029 --> 00:22:22,630

 

681
00:22:22,630 --> 00:22:24,950

 

682
00:22:24,950 --> 00:22:26,310

 

683
00:22:26,310 --> 00:22:28,789

 

684
00:22:28,789 --> 00:22:30,950

 

685
00:22:30,950 --> 00:22:31,990

 

686
00:22:31,990 --> 00:22:33,909

 

687
00:22:33,909 --> 00:22:35,830

 

688
00:22:35,830 --> 00:22:38,230

 

689
00:22:38,230 --> 00:22:39,990

 

690
00:22:39,990 --> 00:22:42,789

 

691
00:22:42,789 --> 00:22:45,510

 

692
00:22:45,510 --> 00:22:47,830

 

693
00:22:47,830 --> 00:22:49,990

 

694
00:22:49,990 --> 00:22:53,190

 

695
00:22:53,190 --> 00:22:54,630

 

696
00:22:54,630 --> 00:22:57,029

 

697
00:22:57,029 --> 00:22:58,470

 

698
00:22:58,470 --> 00:23:00,549

 

699
00:23:00,549 --> 00:23:00,559

 

700
00:23:00,559 --> 00:23:01,430


701
00:23:01,430 --> 00:23:01,440

 

702
00:23:01,440 --> 00:23:02,470


703
00:23:02,470 --> 00:23:06,230

 

704
00:23:06,230 --> 00:23:07,590

 

705
00:23:07,590 --> 00:23:09,669

 

706
00:23:09,669 --> 00:23:11,350

 

707
00:23:11,350 --> 00:23:12,870

 

708
00:23:12,870 --> 00:23:15,669

 

709
00:23:15,669 --> 00:23:18,710

 

710
00:23:18,710 --> 00:23:19,590

 

711
00:23:19,590 --> 00:23:21,750

 

712
00:23:21,750 --> 00:23:25,909

 

713
00:23:25,909 --> 00:23:27,669

 

714
00:23:27,669 --> 00:23:30,710

 

715
00:23:30,710 --> 00:23:32,470

 

716
00:23:32,470 --> 00:23:32,480

 

717
00:23:32,480 --> 00:23:33,669


718
00:23:33,669 --> 00:23:33,679

 

719
00:23:33,679 --> 00:23:34,470


720
00:23:34,470 --> 00:23:38,070

 

721
00:23:38,070 --> 00:23:40,549

 

722
00:23:40,549 --> 00:23:42,390

 

723
00:23:42,390 --> 00:23:43,669

 

724
00:23:43,669 --> 00:23:45,269

 

725
00:23:45,269 --> 00:23:47,110

 

726
00:23:47,110 --> 00:23:49,510

 

727
00:23:49,510 --> 00:23:50,710

 

728
00:23:50,710 --> 00:23:53,830

 

729
00:23:53,830 --> 00:23:53,840

 

730
00:23:53,840 --> 00:23:54,870


731
00:23:54,870 --> 00:23:58,070

 

732
00:23:58,070 --> 00:23:59,830

 

733
00:23:59,830 --> 00:23:59,840

 

734
00:23:59,840 --> 00:24:00,630


735
00:24:00,630 --> 00:24:04,390

 

736
00:24:04,390 --> 00:24:06,870

 

737
00:24:06,870 --> 00:24:08,549

 

738
00:24:08,549 --> 00:24:09,590

 

739
00:24:09,590 --> 00:24:11,430

 

740
00:24:11,430 --> 00:24:13,269

 

741
00:24:13,269 --> 00:24:15,269

 

742
00:24:15,269 --> 00:24:17,350

 

743
00:24:17,350 --> 00:24:18,549

 

744
00:24:18,549 --> 00:24:22,710

 

745
00:24:22,710 --> 00:24:24,630

 

746
00:24:24,630 --> 00:24:27,350

 

747
00:24:27,350 --> 00:24:29,990

 

748
00:24:29,990 --> 00:24:31,909

 

749
00:24:31,909 --> 00:24:34,390

 

750
00:24:34,390 --> 00:24:36,710

 

751
00:24:36,710 --> 00:24:39,510

 

752
00:24:39,510 --> 00:24:43,190

 

753
00:24:43,190 --> 00:24:46,549

 

754
00:24:46,549 --> 00:24:48,870

 

755
00:24:48,870 --> 00:24:50,310

 

756
00:24:50,310 --> 00:24:52,310

 

757
00:24:52,310 --> 00:24:52,320

 

758
00:24:52,320 --> 00:24:53,350


759
00:24:53,350 --> 00:24:56,630

 

760
00:24:56,630 --> 00:24:58,149

 

761
00:24:58,149 --> 00:25:00,390

 

762
00:25:00,390 --> 00:25:00,400

 

763
00:25:00,400 --> 00:25:03,350


764
00:25:03,350 --> 00:25:05,190

 

765
00:25:05,190 --> 00:25:08,710

 

766
00:25:08,710 --> 00:25:10,310

 

767
00:25:10,310 --> 00:25:11,350

 

768
00:25:11,350 --> 00:25:11,360

 

769
00:25:11,360 --> 00:25:12,870


770
00:25:12,870 --> 00:25:15,510

 

771
00:25:15,510 --> 00:25:17,990

 

772
00:25:17,990 --> 00:25:21,110

 

773
00:25:21,110 --> 00:25:24,070

 

774
00:25:24,070 --> 00:25:27,510

 

775
00:25:27,510 --> 00:25:29,029

 

776
00:25:29,029 --> 00:25:31,430

 

777
00:25:31,430 --> 00:25:33,269

 

778
00:25:33,269 --> 00:25:36,390

 

779
00:25:36,390 --> 00:25:38,470

 

780
00:25:38,470 --> 00:25:38,480

 

781
00:25:38,480 --> 00:25:39,750


782
00:25:39,750 --> 00:25:42,310

 

783
00:25:42,310 --> 00:25:42,320

 

784
00:25:42,320 --> 00:25:43,510


785
00:25:43,510 --> 00:25:45,909

 

786
00:25:45,909 --> 00:25:48,630

 

787
00:25:48,630 --> 00:25:52,549

 

788
00:25:52,549 --> 00:25:55,990

 

789
00:25:55,990 --> 00:25:58,870

 

790
00:25:58,870 --> 00:25:58,880

 

791
00:25:58,880 --> 00:25:59,830


792
00:25:59,830 --> 00:26:03,669

 

793
00:26:03,669 --> 00:26:05,909

 

794
00:26:05,909 --> 00:26:08,310

 

795
00:26:08,310 --> 00:26:10,950

 

796
00:26:10,950 --> 00:26:10,960

 

797
00:26:10,960 --> 00:26:13,350


798
00:26:13,350 --> 00:26:14,710

 

799
00:26:14,710 --> 00:26:18,870

 

800
00:26:18,870 --> 00:26:20,789

 

801
00:26:20,789 --> 00:26:23,269

 

802
00:26:23,269 --> 00:26:25,190

 

803
00:26:25,190 --> 00:26:28,070

 

804
00:26:28,070 --> 00:26:28,080

 

805
00:26:28,080 --> 00:26:29,430


806
00:26:29,430 --> 00:26:29,440

 

807
00:26:29,440 --> 00:26:30,950


808
00:26:30,950 --> 00:26:33,269

 

809
00:26:33,269 --> 00:26:35,029

 

810
00:26:35,029 --> 00:26:37,350

 

811
00:26:37,350 --> 00:26:40,310

 

812
00:26:40,310 --> 00:26:42,630

 

813
00:26:42,630 --> 00:26:45,029

 

814
00:26:45,029 --> 00:26:46,710

 

815
00:26:46,710 --> 00:26:48,230

 

816
00:26:48,230 --> 00:26:50,070

 

817
00:26:50,070 --> 00:26:51,029

 

818
00:26:51,029 --> 00:26:53,909

 

819
00:26:53,909 --> 00:26:55,830

 

820
00:26:55,830 --> 00:26:58,789

 

821
00:26:58,789 --> 00:27:01,140

 

822
00:27:01,140 --> 00:27:01,150

 

823
00:27:01,150 --> 00:27:02,310


824
00:27:02,310 --> 00:27:04,710

 

825
00:27:04,710 --> 00:27:07,990

 

826
00:27:07,990 --> 00:27:09,510

 

827
00:27:09,510 --> 00:27:10,710

 

828
00:27:10,710 --> 00:27:12,870

 

829
00:27:12,870 --> 00:27:15,269

 

830
00:27:15,269 --> 00:27:15,279

 

831
00:27:15,279 --> 00:27:16,390


832
00:27:16,390 --> 00:27:19,510

 

833
00:27:19,510 --> 00:27:21,029

 

834
00:27:21,029 --> 00:27:22,149

 

835
00:27:22,149 --> 00:27:25,029

 

836
00:27:25,029 --> 00:27:26,950

 

837
00:27:26,950 --> 00:27:29,350

 

838
00:27:29,350 --> 00:27:30,950

 

839
00:27:30,950 --> 00:27:32,830

 

840
00:27:32,830 --> 00:27:35,669

 

841
00:27:35,669 --> 00:27:35,679

 

842
00:27:35,679 --> 00:27:36,549


843
00:27:36,549 --> 00:27:38,950

 

844
00:27:38,950 --> 00:27:42,389

 

845
00:27:42,389 --> 00:27:44,149

 

846
00:27:44,149 --> 00:27:46,310

 

847
00:27:46,310 --> 00:27:48,789

 

848
00:27:48,789 --> 00:27:50,630

 

849
00:27:50,630 --> 00:27:53,029

 

850
00:27:53,029 --> 00:27:54,950

 

851
00:27:54,950 --> 00:27:57,350

 

852
00:27:57,350 --> 00:27:58,710

 

853
00:27:58,710 --> 00:28:01,750

 

854
00:28:01,750 --> 00:28:04,789

 

855
00:28:04,789 --> 00:28:06,470

 

856
00:28:06,470 --> 00:28:08,870

 

857
00:28:08,870 --> 00:28:11,110

 

858
00:28:11,110 --> 00:28:12,549

 

859
00:28:12,549 --> 00:28:13,750

 

860
00:28:13,750 --> 00:28:17,750

 

861
00:28:17,750 --> 00:28:19,590

 

862
00:28:19,590 --> 00:28:21,029

 

863
00:28:21,029 --> 00:28:23,350

 

864
00:28:23,350 --> 00:28:25,830

 

865
00:28:25,830 --> 00:28:28,549

 

866
00:28:28,549 --> 00:28:30,549

 

867
00:28:30,549 --> 00:28:33,269

 

868
00:28:33,269 --> 00:28:36,310

 

869
00:28:36,310 --> 00:28:38,870

 

870
00:28:38,870 --> 00:28:41,110

 

871
00:28:41,110 --> 00:28:42,870

 

872
00:28:42,870 --> 00:28:44,630

 

873
00:28:44,630 --> 00:28:47,830

 

874
00:28:47,830 --> 00:28:49,669

 

875
00:28:49,669 --> 00:28:49,679

 

876
00:28:49,679 --> 00:28:51,110


877
00:28:51,110 --> 00:28:54,149

 

878
00:28:54,149 --> 00:28:54,159

 

879
00:28:54,159 --> 00:28:55,510


880
00:28:55,510 --> 00:28:57,669

 

881
00:28:57,669 --> 00:29:01,990

 

882
00:29:01,990 --> 00:29:04,950

 

883
00:29:04,950 --> 00:29:04,960

 

884
00:29:04,960 --> 00:29:05,830


885
00:29:05,830 --> 00:29:05,840

 

886
00:29:05,840 --> 00:29:07,269


887
00:29:07,269 --> 00:29:09,029

 

888
00:29:09,029 --> 00:29:11,269

 

889
00:29:11,269 --> 00:29:12,470

 

890
00:29:12,470 --> 00:29:14,549

 

891
00:29:14,549 --> 00:29:17,029

 

892
00:29:17,029 --> 00:29:18,870

 

893
00:29:18,870 --> 00:29:21,830

 

894
00:29:21,830 --> 00:29:24,230

 

895
00:29:24,230 --> 00:29:28,470

 

896
00:29:28,470 --> 00:29:28,480

 

897
00:29:28,480 --> 00:29:29,190


898
00:29:29,190 --> 00:29:32,230

 

899
00:29:32,230 --> 00:29:35,029

 

900
00:29:35,029 --> 00:29:36,870

 

901
00:29:36,870 --> 00:29:38,710

 

902
00:29:38,710 --> 00:29:41,830

 

903
00:29:41,830 --> 00:29:44,870

 

904
00:29:44,870 --> 00:29:47,350

 

905
00:29:47,350 --> 00:29:47,360

 

906
00:29:47,360 --> 00:29:49,190


907
00:29:49,190 --> 00:29:51,750

 

908
00:29:51,750 --> 00:29:53,590

 

909
00:29:53,590 --> 00:29:55,990

 

910
00:29:55,990 --> 00:29:58,310

 

911
00:29:58,310 --> 00:30:01,190

 

912
00:30:01,190 --> 00:30:04,310

 

913
00:30:04,310 --> 00:30:06,710

 

914
00:30:06,710 --> 00:30:08,549

 

915
00:30:08,549 --> 00:30:10,870

 

916
00:30:10,870 --> 00:30:12,789

 

917
00:30:12,789 --> 00:30:14,710

 

918
00:30:14,710 --> 00:30:16,630

 

919
00:30:16,630 --> 00:30:18,549

 

920
00:30:18,549 --> 00:30:20,710

 

921
00:30:20,710 --> 00:30:22,710

 

922
00:30:22,710 --> 00:30:24,710

 

923
00:30:24,710 --> 00:30:26,630

 

924
00:30:26,630 --> 00:30:29,909

 

925
00:30:29,909 --> 00:30:31,590

 

926
00:30:31,590 --> 00:30:34,230

 

927
00:30:34,230 --> 00:30:36,149

 

928
00:30:36,149 --> 00:30:39,350

 

929
00:30:39,350 --> 00:30:42,549

 

930
00:30:42,549 --> 00:30:45,029

 

931
00:30:45,029 --> 00:30:47,669

 

932
00:30:47,669 --> 00:30:50,149

 

933
00:30:50,149 --> 00:30:51,909

 

934
00:30:51,909 --> 00:30:54,389

 

935
00:30:54,389 --> 00:30:56,070

 

936
00:30:56,070 --> 00:30:58,549

 

937
00:30:58,549 --> 00:31:00,389

 

938
00:31:00,389 --> 00:31:03,190

 

939
00:31:03,190 --> 00:31:04,870

 

940
00:31:04,870 --> 00:31:06,549

 

941
00:31:06,549 --> 00:31:06,559

 

942
00:31:06,559 --> 00:31:07,430


943
00:31:07,430 --> 00:31:09,830

 

944
00:31:09,830 --> 00:31:11,430

 

945
00:31:11,430 --> 00:31:14,310

 

946
00:31:14,310 --> 00:31:15,830

 

947
00:31:15,830 --> 00:31:17,430

 

948
00:31:17,430 --> 00:31:18,710

 

949
00:31:18,710 --> 00:31:20,549

 

950
00:31:20,549 --> 00:31:20,559

 

951
00:31:20,559 --> 00:31:21,750


952
00:31:21,750 --> 00:31:23,350

 

953
00:31:23,350 --> 00:31:25,190

 

954
00:31:25,190 --> 00:31:27,750

 

955
00:31:27,750 --> 00:31:29,190

 

956
00:31:29,190 --> 00:31:31,509

 

957
00:31:31,509 --> 00:31:34,789

 

958
00:31:34,789 --> 00:31:37,269

 

959
00:31:37,269 --> 00:31:39,750

 

960
00:31:39,750 --> 00:31:41,350

 

961
00:31:41,350 --> 00:31:43,190

 

962
00:31:43,190 --> 00:31:45,029

 

963
00:31:45,029 --> 00:31:46,789

 

964
00:31:46,789 --> 00:31:48,310

 

965
00:31:48,310 --> 00:31:50,549

 

966
00:31:50,549 --> 00:31:52,149

 

967
00:31:52,149 --> 00:31:54,230

 

968
00:31:54,230 --> 00:31:56,230

 

969
00:31:56,230 --> 00:31:58,630

 

970
00:31:58,630 --> 00:32:00,789

 

971
00:32:00,789 --> 00:32:02,470

 

972
00:32:02,470 --> 00:32:03,990

 

973
00:32:03,990 --> 00:32:06,070

 

974
00:32:06,070 --> 00:32:07,909

 

975
00:32:07,909 --> 00:32:09,350

 

976
00:32:09,350 --> 00:32:10,549

 

977
00:32:10,549 --> 00:32:12,710

 

978
00:32:12,710 --> 00:32:13,750

 

979
00:32:13,750 --> 00:32:15,830

 

980
00:32:15,830 --> 00:32:18,470

 

981
00:32:18,470 --> 00:32:19,990

 

982
00:32:19,990 --> 00:32:20,000

 

983
00:32:20,000 --> 00:32:21,190


984
00:32:21,190 --> 00:32:23,110

 

985
00:32:23,110 --> 00:32:23,120

 

986
00:32:23,120 --> 00:32:25,350


987
00:32:25,350 --> 00:32:27,430

 

988
00:32:27,430 --> 00:32:29,509

 

989
00:32:29,509 --> 00:32:32,070

 

990
00:32:32,070 --> 00:32:35,190

 

991
00:32:35,190 --> 00:32:37,750

 

992
00:32:37,750 --> 00:32:40,310

 

993
00:32:40,310 --> 00:32:42,710

 

994
00:32:42,710 --> 00:32:44,070

 

995
00:32:44,070 --> 00:32:45,430

 

996
00:32:45,430 --> 00:32:47,590

 

997
00:32:47,590 --> 00:32:49,669

 

998
00:32:49,669 --> 00:32:49,679

 

999
00:32:49,679 --> 00:32:51,590


1000
00:32:51,590 --> 00:32:52,950

 

1001
00:32:52,950 --> 00:32:52,960

 

1002
00:32:52,960 --> 00:32:54,830


1003
00:32:54,830 --> 00:32:57,990

 

1004
00:32:57,990 --> 00:33:01,350

 

1005
00:33:01,350 --> 00:33:03,029

 

1006
00:33:03,029 --> 00:33:05,269

 

1007
00:33:05,269 --> 00:33:07,350

 

1008
00:33:07,350 --> 00:33:08,710

 

1009
00:33:08,710 --> 00:33:10,870

 

1010
00:33:10,870 --> 00:33:13,669

 

1011
00:33:13,669 --> 00:33:13,679

 

1012
00:33:13,679 --> 00:33:14,710


1013
00:33:14,710 --> 00:33:16,470

 

1014
00:33:16,470 --> 00:33:18,710

 

1015
00:33:18,710 --> 00:33:19,909

 

1016
00:33:19,909 --> 00:33:21,590

 

1017
00:33:21,590 --> 00:33:23,430

 

1018
00:33:23,430 --> 00:33:25,509

 

1019
00:33:25,509 --> 00:33:27,350

 

1020
00:33:27,350 --> 00:33:29,990

 

1021
00:33:29,990 --> 00:33:31,590

 

1022
00:33:31,590 --> 00:33:31,600

 

1023
00:33:31,600 --> 00:33:32,789


1024
00:33:32,789 --> 00:33:34,630

 

1025
00:33:34,630 --> 00:33:36,389

 

1026
00:33:36,389 --> 00:33:37,750

 

1027
00:33:37,750 --> 00:33:40,070

 

1028
00:33:40,070 --> 00:33:42,630

 

1029
00:33:42,630 --> 00:33:42,640

 

1030
00:33:42,640 --> 00:33:43,669


1031
00:33:43,669 --> 00:33:46,470

 

1032
00:33:46,470 --> 00:33:48,789

 

1033
00:33:48,789 --> 00:33:50,710

 

1034
00:33:50,710 --> 00:33:53,830

 

1035
00:33:53,830 --> 00:33:55,830

 

1036
00:33:55,830 --> 00:33:59,269

 

1037
00:33:59,269 --> 00:34:01,669

 

1038
00:34:01,669 --> 00:34:03,830

 

1039
00:34:03,830 --> 00:34:05,590

 

1040
00:34:05,590 --> 00:34:05,600

 

1041
00:34:05,600 --> 00:34:09,109


1042
00:34:09,109 --> 00:34:12,550

 

1043
00:34:12,550 --> 00:34:14,550

 

1044
00:34:14,550 --> 00:34:16,790

 

1045
00:34:16,790 --> 00:34:18,310

 

1046
00:34:18,310 --> 00:34:20,389

 

1047
00:34:20,389 --> 00:34:22,470

 

1048
00:34:22,470 --> 00:34:23,750

 

1049
00:34:23,750 --> 00:34:25,349

 

1050
00:34:25,349 --> 00:34:26,790

 

1051
00:34:26,790 --> 00:34:26,800

 

1052
00:34:26,800 --> 00:34:28,069


1053
00:34:28,069 --> 00:34:28,079

 

1054
00:34:28,079 --> 00:34:30,069


1055
00:34:30,069 --> 00:34:31,990

 

1056
00:34:31,990 --> 00:34:33,669

 

1057
00:34:33,669 --> 00:34:36,389

 

1058
00:34:36,389 --> 00:34:39,109

 

1059
00:34:39,109 --> 00:34:42,310

 

1060
00:34:42,310 --> 00:34:44,389

 

1061
00:34:44,389 --> 00:34:46,069

 

1062
00:34:46,069 --> 00:34:49,430

 

1063
00:34:49,430 --> 00:34:51,589

 

1064
00:34:51,589 --> 00:34:51,599

 

1065
00:34:51,599 --> 00:34:53,190


1066
00:34:53,190 --> 00:34:54,950

 

1067
00:34:54,950 --> 00:34:54,960

 

1068
00:34:54,960 --> 00:34:57,109


1069
00:34:57,109 --> 00:35:07,430

 

1070
00:35:07,430 --> 00:35:07,440

 

1071
00:35:07,440 --> 00:35:08,950


1072
00:35:08,950 --> 00:35:10,950

 

1073
00:35:10,950 --> 00:35:13,349

 

1074
00:35:13,349 --> 00:35:14,710

 

1075
00:35:14,710 --> 00:35:16,950

 

1076
00:35:16,950 --> 00:35:20,870

 

1077
00:35:20,870 --> 00:35:20,880

 

1078
00:35:20,880 --> 00:35:22,630


1079
00:35:22,630 --> 00:35:22,640

 

1080
00:35:22,640 --> 00:35:24,310


1081
00:35:24,310 --> 00:35:24,320

 

1082
00:35:24,320 --> 00:35:25,030


1083
00:35:25,030 --> 00:35:29,030

 

1084
00:35:29,030 --> 00:35:30,310

 

1085
00:35:30,310 --> 00:35:30,320

 

1086
00:35:30,320 --> 00:35:30,750


1087
00:35:30,750 --> 00:35:30,760

 

1088
00:35:30,760 --> 00:35:32,230


1089
00:35:32,230 --> 00:35:34,310

 

1090
00:35:34,310 --> 00:35:36,950

 

1091
00:35:36,950 --> 00:35:38,470

 

1092
00:35:38,470 --> 00:35:40,230

 

1093
00:35:40,230 --> 00:35:42,790

 

1094
00:35:42,790 --> 00:35:44,950

 

1095
00:35:44,950 --> 00:35:44,960

 

1096
00:35:44,960 --> 00:35:45,910


1097
00:35:45,910 --> 00:35:47,750

 

1098
00:35:47,750 --> 00:35:47,760

 

1099
00:35:47,760 --> 00:35:49,030


1100
00:35:49,030 --> 00:35:50,630

 

1101
00:35:50,630 --> 00:35:50,640

 

1102
00:35:50,640 --> 00:35:52,390


1103
00:35:52,390 --> 00:35:54,950

 

1104
00:35:54,950 --> 00:35:54,960

 

1105
00:35:54,960 --> 00:35:55,690


1106
00:35:55,690 --> 00:35:55,700

 

1107
00:35:55,700 --> 00:35:57,589


1108
00:35:57,589 --> 00:35:59,829

 

1109
00:35:59,829 --> 00:36:01,589

 

1110
00:36:01,589 --> 00:36:03,670

 

1111
00:36:03,670 --> 00:36:06,150

 

1112
00:36:06,150 --> 00:36:07,990

 

1113
00:36:07,990 --> 00:36:08,000

 

1114
00:36:08,000 --> 00:36:09,430


1115
00:36:09,430 --> 00:36:13,190

 

1116
00:36:13,190 --> 00:36:14,390

 

1117
00:36:14,390 --> 00:36:16,390

 

1118
00:36:16,390 --> 00:36:19,030

 

1119
00:36:19,030 --> 00:36:20,630

 

1120
00:36:20,630 --> 00:36:21,990

 

1121
00:36:21,990 --> 00:36:23,910

 

1122
00:36:23,910 --> 00:36:26,950

 

1123
00:36:26,950 --> 00:36:26,960

 

1124
00:36:26,960 --> 00:36:28,630


1125
00:36:28,630 --> 00:36:30,069

 

1126
00:36:30,069 --> 00:36:31,510

 

1127
00:36:31,510 --> 00:36:33,349

 

1128
00:36:33,349 --> 00:36:35,109

 

1129
00:36:35,109 --> 00:36:39,109

 

1130
00:36:39,109 --> 00:36:42,069

 

1131
00:36:42,069 --> 00:36:43,670

 

1132
00:36:43,670 --> 00:36:45,670

 

1133
00:36:45,670 --> 00:36:47,109

 

1134
00:36:47,109 --> 00:36:50,470

 

1135
00:36:50,470 --> 00:36:50,480

 

1136
00:36:50,480 --> 00:36:51,829


1137
00:36:51,829 --> 00:36:53,750

 

1138
00:36:53,750 --> 00:36:56,150

 

1139
00:36:56,150 --> 00:36:57,430

 

1140
00:36:57,430 --> 00:36:58,630

 

1141
00:36:58,630 --> 00:37:00,230

 

1142
00:37:00,230 --> 00:37:03,829

 

1143
00:37:03,829 --> 00:37:06,829

 

1144
00:37:06,829 --> 00:37:09,430

 

1145
00:37:09,430 --> 00:37:12,310

 

1146
00:37:12,310 --> 00:37:15,430

 

1147
00:37:15,430 --> 00:37:17,990

 

1148
00:37:17,990 --> 00:37:19,910

 

1149
00:37:19,910 --> 00:37:21,750

 

1150
00:37:21,750 --> 00:37:23,430

 

1151
00:37:23,430 --> 00:37:25,589

 

1152
00:37:25,589 --> 00:37:27,270

 

1153
00:37:27,270 --> 00:37:28,870

 

1154
00:37:28,870 --> 00:37:28,880

 

1155
00:37:28,880 --> 00:37:31,829


1156
00:37:31,829 --> 00:37:35,109

 

1157
00:37:35,109 --> 00:37:36,710

 

1158
00:37:36,710 --> 00:37:38,150

 

1159
00:37:38,150 --> 00:37:41,510

 

1160
00:37:41,510 --> 00:37:41,520

 

1161
00:37:41,520 --> 00:37:42,630


1162
00:37:42,630 --> 00:37:44,790

 

1163
00:37:44,790 --> 00:37:46,870

 

1164
00:37:46,870 --> 00:37:49,030

 

1165
00:37:49,030 --> 00:37:50,630

 

1166
00:37:50,630 --> 00:37:53,270

 

1167
00:37:53,270 --> 00:37:54,710

 

1168
00:37:54,710 --> 00:37:57,270

 

1169
00:37:57,270 --> 00:37:57,280

 

1170
00:37:57,280 --> 00:37:58,950


1171
00:37:58,950 --> 00:38:00,790

 

1172
00:38:00,790 --> 00:38:04,390

 

1173
00:38:04,390 --> 00:38:06,790

 

1174
00:38:06,790 --> 00:38:09,589

 

1175
00:38:09,589 --> 00:38:11,270

 

1176
00:38:11,270 --> 00:38:13,510

 

1177
00:38:13,510 --> 00:38:14,950

 

1178
00:38:14,950 --> 00:38:17,109

 

1179
00:38:17,109 --> 00:38:20,390

 

1180
00:38:20,390 --> 00:38:22,470

 

1181
00:38:22,470 --> 00:38:26,790

 

1182
00:38:26,790 --> 00:38:29,030

 

1183
00:38:29,030 --> 00:38:32,230

 

1184
00:38:32,230 --> 00:38:35,589

 

1185
00:38:35,589 --> 00:38:36,950

 

1186
00:38:36,950 --> 00:38:38,150

 

1187
00:38:38,150 --> 00:38:41,270

 

1188
00:38:41,270 --> 00:38:43,270

 

1189
00:38:43,270 --> 00:38:44,790

 

1190
00:38:44,790 --> 00:38:44,800

 

1191
00:38:44,800 --> 00:38:46,950


1192
00:38:46,950 --> 00:38:48,390

 

1193
00:38:48,390 --> 00:38:50,950

 

1194
00:38:50,950 --> 00:38:53,670

 

1195
00:38:53,670 --> 00:38:55,510

 

1196
00:38:55,510 --> 00:38:56,950

 

1197
00:38:56,950 --> 00:39:00,390

 

1198
00:39:00,390 --> 00:39:02,950

 

1199
00:39:02,950 --> 00:39:05,109

 

1200
00:39:05,109 --> 00:39:06,710

 

1201
00:39:06,710 --> 00:39:09,109

 

1202
00:39:09,109 --> 00:39:11,990

 

1203
00:39:11,990 --> 00:39:13,829

 

1204
00:39:13,829 --> 00:39:16,470

 

1205
00:39:16,470 --> 00:39:18,550

 

1206
00:39:18,550 --> 00:39:20,630

 

1207
00:39:20,630 --> 00:39:23,270

 

1208
00:39:23,270 --> 00:39:26,230

 

1209
00:39:26,230 --> 00:39:28,870

 

1210
00:39:28,870 --> 00:39:31,349

 

1211
00:39:31,349 --> 00:39:33,670

 

1212
00:39:33,670 --> 00:39:35,750

 

1213
00:39:35,750 --> 00:39:35,760

 

1214
00:39:35,760 --> 00:39:37,349


1215
00:39:37,349 --> 00:39:39,030

 

1216
00:39:39,030 --> 00:39:39,040

 

1217
00:39:39,040 --> 00:39:40,310


1218
00:39:40,310 --> 00:39:43,829

 

1219
00:39:43,829 --> 00:39:43,839

 

1220
00:39:43,839 --> 00:39:44,950


1221
00:39:44,950 --> 00:39:48,950

 

1222
00:39:48,950 --> 00:39:50,390

 

1223
00:39:50,390 --> 00:39:51,750

 

1224
00:39:51,750 --> 00:39:53,270

 

1225
00:39:53,270 --> 00:39:54,790

 

1226
00:39:54,790 --> 00:39:57,270

 

1227
00:39:57,270 --> 00:40:00,230

 

1228
00:40:00,230 --> 00:40:02,710

 

1229
00:40:02,710 --> 00:40:06,230

 

1230
00:40:06,230 --> 00:40:10,069

 

1231
00:40:10,069 --> 00:40:11,990

 

1232
00:40:11,990 --> 00:40:13,910

 

1233
00:40:13,910 --> 00:40:15,670

 

1234
00:40:15,670 --> 00:40:16,870

 

1235
00:40:16,870 --> 00:40:18,470

 

1236
00:40:18,470 --> 00:40:21,270

 

1237
00:40:21,270 --> 00:40:23,750

 

1238
00:40:23,750 --> 00:40:25,270

 

1239
00:40:25,270 --> 00:40:26,470

 

1240
00:40:26,470 --> 00:40:29,109

 

1241
00:40:29,109 --> 00:40:31,030

 

1242
00:40:31,030 --> 00:40:33,270

 

1243
00:40:33,270 --> 00:40:34,550

 

1244
00:40:34,550 --> 00:40:36,309

 

1245
00:40:36,309 --> 00:40:39,030

 

1246
00:40:39,030 --> 00:40:40,550

 

1247
00:40:40,550 --> 00:40:43,670

 

1248
00:40:43,670 --> 00:40:43,680

 

1249
00:40:43,680 --> 00:40:44,950


1250
00:40:44,950 --> 00:40:47,030

 

1251
00:40:47,030 --> 00:40:48,870

 

1252
00:40:48,870 --> 00:40:50,230

 

1253
00:40:50,230 --> 00:40:52,470

 

1254
00:40:52,470 --> 00:40:53,910

 

1255
00:40:53,910 --> 00:40:56,630

 

1256
00:40:56,630 --> 00:40:56,640

 

1257
00:40:56,640 --> 00:40:56,980


1258
00:40:56,980 --> 00:40:56,990

 

1259
00:40:56,990 --> 00:40:59,190


1260
00:40:59,190 --> 00:41:01,430

 

1261
00:41:01,430 --> 00:41:03,829

 

1262
00:41:03,829 --> 00:41:05,910

 

1263
00:41:05,910 --> 00:41:07,670

 

1264
00:41:07,670 --> 00:41:09,589

 

1265
00:41:09,589 --> 00:41:11,990

 

1266
00:41:11,990 --> 00:41:12,000

 

1267
00:41:12,000 --> 00:41:13,030


1268
00:41:13,030 --> 00:41:14,950

 

1269
00:41:14,950 --> 00:41:16,309

 

1270
00:41:16,309 --> 00:41:16,319

 

1271
00:41:16,319 --> 00:41:18,790


1272
00:41:18,790 --> 00:41:21,349

 

1273
00:41:21,349 --> 00:41:23,990

 

1274
00:41:23,990 --> 00:41:27,109

 

1275
00:41:27,109 --> 00:41:28,870

 

1276
00:41:28,870 --> 00:41:29,990

 

1277
00:41:29,990 --> 00:41:33,270

 

1278
00:41:33,270 --> 00:41:35,829

 

1279
00:41:35,829 --> 00:41:38,950

 

1280
00:41:38,950 --> 00:41:41,349

 

1281
00:41:41,349 --> 00:41:43,190

 

1282
00:41:43,190 --> 00:41:44,790

 

1283
00:41:44,790 --> 00:41:46,790

 

1284
00:41:46,790 --> 00:41:50,390

 

1285
00:41:50,390 --> 00:41:51,910

 

1286
00:41:51,910 --> 00:41:54,710

 

1287
00:41:54,710 --> 00:41:56,870

 

1288
00:41:56,870 --> 00:41:58,550

 

1289
00:41:58,550 --> 00:42:00,710

 

1290
00:42:00,710 --> 00:42:03,670

 

1291
00:42:03,670 --> 00:42:06,950

 

1292
00:42:06,950 --> 00:42:09,829

 

1293
00:42:09,829 --> 00:42:13,030

 

1294
00:42:13,030 --> 00:42:14,790

 

1295
00:42:14,790 --> 00:42:16,630

 

1296
00:42:16,630 --> 00:42:18,630

 

1297
00:42:18,630 --> 00:42:19,910

 

1298
00:42:19,910 --> 00:42:21,829

 

1299
00:42:21,829 --> 00:42:22,790

 

1300
00:42:22,790 --> 00:42:25,750

 

1301
00:42:25,750 --> 00:42:27,829

 

1302
00:42:27,829 --> 00:42:29,430

 

1303
00:42:29,430 --> 00:42:31,109

 

1304
00:42:31,109 --> 00:42:33,589

 

1305
00:42:33,589 --> 00:42:33,599

 

1306
00:42:33,599 --> 00:42:35,589


1307
00:42:35,589 --> 00:42:37,349

 

1308
00:42:37,349 --> 00:42:39,670

 

1309
00:42:39,670 --> 00:42:42,790

 

1310
00:42:42,790 --> 00:42:45,589

 

1311
00:42:45,589 --> 00:42:49,349

 

1312
00:42:49,349 --> 00:42:51,190

 

1313
00:42:51,190 --> 00:42:52,790

 

1314
00:42:52,790 --> 00:42:54,950

 

1315
00:42:54,950 --> 00:42:56,870

 

1316
00:42:56,870 --> 00:42:58,630

 

1317
00:42:58,630 --> 00:43:00,309

 

1318
00:43:00,309 --> 00:43:03,270

 

1319
00:43:03,270 --> 00:43:03,280

 

1320
00:43:03,280 --> 00:43:04,069


1321
00:43:04,069 --> 00:43:06,710

 

1322
00:43:06,710 --> 00:43:08,230

 

1323
00:43:08,230 --> 00:43:08,240

 

1324
00:43:08,240 --> 00:43:09,990


1325
00:43:09,990 --> 00:43:11,829

 

1326
00:43:11,829 --> 00:43:13,750

 

1327
00:43:13,750 --> 00:43:15,910

 

1328
00:43:15,910 --> 00:43:17,270

 

1329
00:43:17,270 --> 00:43:19,430

 

1330
00:43:19,430 --> 00:43:21,349

 

1331
00:43:21,349 --> 00:43:24,550

 

1332
00:43:24,550 --> 00:43:26,870

 

1333
00:43:26,870 --> 00:43:28,630

 

1334
00:43:28,630 --> 00:43:31,510

 

1335
00:43:31,510 --> 00:43:33,109

 

1336
00:43:33,109 --> 00:43:34,950

 

1337
00:43:34,950 --> 00:43:37,030

 

1338
00:43:37,030 --> 00:43:39,750

 

1339
00:43:39,750 --> 00:43:41,510

 

1340
00:43:41,510 --> 00:43:43,670

 

1341
00:43:43,670 --> 00:43:43,680

 

1342
00:43:43,680 --> 00:43:44,630


1343
00:43:44,630 --> 00:43:46,710

 

1344
00:43:46,710 --> 00:43:48,710

 

1345
00:43:48,710 --> 00:43:50,870

 

1346
00:43:50,870 --> 00:43:53,030

 

1347
00:43:53,030 --> 00:43:55,510

 

1348
00:43:55,510 --> 00:43:57,270

 

1349
00:43:57,270 --> 00:43:58,950

 

1350
00:43:58,950 --> 00:44:01,349

 

1351
00:44:01,349 --> 00:44:03,910

 

1352
00:44:03,910 --> 00:44:05,109

 

1353
00:44:05,109 --> 00:44:06,829

 

1354
00:44:06,829 --> 00:44:09,270

 

1355
00:44:09,270 --> 00:44:09,280

 

1356
00:44:09,280 --> 00:44:10,390


1357
00:44:10,390 --> 00:44:14,790

 

1358
00:44:14,790 --> 00:44:17,030

 

1359
00:44:17,030 --> 00:44:19,990

 

1360
00:44:19,990 --> 00:44:22,390

 

1361
00:44:22,390 --> 00:44:24,470

 

1362
00:44:24,470 --> 00:44:27,589

 

1363
00:44:27,589 --> 00:44:30,630

 

1364
00:44:30,630 --> 00:44:33,829

 

1365
00:44:33,829 --> 00:44:37,510

 

1366
00:44:37,510 --> 00:44:39,990

 

1367
00:44:39,990 --> 00:44:43,270

 

1368
00:44:43,270 --> 00:44:45,670

 

1369
00:44:45,670 --> 00:44:47,510

 

1370
00:44:47,510 --> 00:44:51,190

 

1371
00:44:51,190 --> 00:44:54,309

 

1372
00:44:54,309 --> 00:44:55,829

 

1373
00:44:55,829 --> 00:44:57,109

 

1374
00:44:57,109 --> 00:45:01,190

 

1375
00:45:01,190 --> 00:45:03,990

 

1376
00:45:03,990 --> 00:45:06,270

 

1377
00:45:06,270 --> 00:45:08,470

 

1378
00:45:08,470 --> 00:45:10,470

 

1379
00:45:10,470 --> 00:45:12,550

 

1380
00:45:12,550 --> 00:45:12,560

 

1381
00:45:12,560 --> 00:45:13,750


1382
00:45:13,750 --> 00:45:15,829

 

1383
00:45:15,829 --> 00:45:17,990

 

1384
00:45:17,990 --> 00:45:19,349

 

1385
00:45:19,349 --> 00:45:19,359

 

1386
00:45:19,359 --> 00:45:20,950


1387
00:45:20,950 --> 00:45:23,109

 

1388
00:45:23,109 --> 00:45:24,950

 

1389
00:45:24,950 --> 00:45:26,950

 

1390
00:45:26,950 --> 00:45:26,960

 

1391
00:45:26,960 --> 00:45:28,150


1392
00:45:28,150 --> 00:45:30,150

 

1393
00:45:30,150 --> 00:45:31,829

 

1394
00:45:31,829 --> 00:45:34,150

 

1395
00:45:34,150 --> 00:45:35,829

 

1396
00:45:35,829 --> 00:45:38,309

 

1397
00:45:38,309 --> 00:45:40,790

 

1398
00:45:40,790 --> 00:45:44,550

 

1399
00:45:44,550 --> 00:45:46,550

 

1400
00:45:46,550 --> 00:45:48,309

 

1401
00:45:48,309 --> 00:45:48,319

 

1402
00:45:48,319 --> 00:45:50,630


1403
00:45:50,630 --> 00:45:52,870

 

1404
00:45:52,870 --> 00:45:54,630

 

1405
00:45:54,630 --> 00:45:56,790

 

1406
00:45:56,790 --> 00:45:58,550

 

1407
00:45:58,550 --> 00:46:00,390

 

1408
00:46:00,390 --> 00:46:02,309

 

1409
00:46:02,309 --> 00:46:03,829

 

1410
00:46:03,829 --> 00:46:06,150

 

1411
00:46:06,150 --> 00:46:08,710

 

1412
00:46:08,710 --> 00:46:08,720

 

1413
00:46:08,720 --> 00:46:10,069


1414
00:46:10,069 --> 00:46:12,550

 

1415
00:46:12,550 --> 00:46:14,710

 

1416
00:46:14,710 --> 00:46:17,349

 

1417
00:46:17,349 --> 00:46:18,710

 

1418
00:46:18,710 --> 00:46:20,390

 

1419
00:46:20,390 --> 00:46:20,400

 

1420
00:46:20,400 --> 00:46:21,589


1421
00:46:21,589 --> 00:46:24,470

 

1422
00:46:24,470 --> 00:46:28,069

 

1423
00:46:28,069 --> 00:46:30,550

 

1424
00:46:30,550 --> 00:46:33,589

 

1425
00:46:33,589 --> 00:46:35,589

 

1426
00:46:35,589 --> 00:46:37,750

 

1427
00:46:37,750 --> 00:46:39,430

 

1428
00:46:39,430 --> 00:46:41,910

 

1429
00:46:41,910 --> 00:46:43,750

 

1430
00:46:43,750 --> 00:46:45,030

 

1431
00:46:45,030 --> 00:46:47,589

 

1432
00:46:47,589 --> 00:46:49,190

 

1433
00:46:49,190 --> 00:46:50,630

 

1434
00:46:50,630 --> 00:46:51,829

 

1435
00:46:51,829 --> 00:46:53,990

 

1436
00:46:53,990 --> 00:46:55,589

 

1437
00:46:55,589 --> 00:46:57,190

 

1438
00:46:57,190 --> 00:46:59,190

 

1439
00:46:59,190 --> 00:47:01,670

 

1440
00:47:01,670 --> 00:47:03,829

 

1441
00:47:03,829 --> 00:47:05,829

 

1442
00:47:05,829 --> 00:47:08,870

 

1443
00:47:08,870 --> 00:47:11,190

 

1444
00:47:11,190 --> 00:47:13,750

 

1445
00:47:13,750 --> 00:47:15,109

 

1446
00:47:15,109 --> 00:47:16,870

 

1447
00:47:16,870 --> 00:47:19,349

 

1448
00:47:19,349 --> 00:47:21,430

 

1449
00:47:21,430 --> 00:47:22,950

 

1450
00:47:22,950 --> 00:47:24,549

 

1451
00:47:24,549 --> 00:47:26,309

 

1452
00:47:26,309 --> 00:47:28,150

 

1453
00:47:28,150 --> 00:47:28,160

 

1454
00:47:28,160 --> 00:47:29,510


1455
00:47:29,510 --> 00:47:29,520

 

1456
00:47:29,520 --> 00:47:30,870


1457
00:47:30,870 --> 00:47:32,790

 

1458
00:47:32,790 --> 00:47:35,109

 

1459
00:47:35,109 --> 00:47:38,390

 

1460
00:47:38,390 --> 00:47:38,400

 

1461
00:47:38,400 --> 00:47:40,150


1462
00:47:40,150 --> 00:47:41,190

 

1463
00:47:41,190 --> 00:47:44,630

 

1464
00:47:44,630 --> 00:47:46,470

 

1465
00:47:46,470 --> 00:47:48,950

 

1466
00:47:48,950 --> 00:47:51,190

 

1467
00:47:51,190 --> 00:47:53,990

 

1468
00:47:53,990 --> 00:47:56,069

 

1469
00:47:56,069 --> 00:47:58,150

 

1470
00:47:58,150 --> 00:47:58,160

 

1471
00:47:58,160 --> 00:48:00,390


1472
00:48:00,390 --> 00:48:00,400

 

1473
00:48:00,400 --> 00:48:01,670


1474
00:48:01,670 --> 00:48:04,069

 

1475
00:48:04,069 --> 00:48:05,589

 

1476
00:48:05,589 --> 00:48:08,230

 

1477
00:48:08,230 --> 00:48:09,910

 

1478
00:48:09,910 --> 00:48:10,950

 

1479
00:48:10,950 --> 00:48:14,470

 

1480
00:48:14,470 --> 00:48:19,589

 

1481
00:48:19,589 --> 00:48:21,670

 

1482
00:48:21,670 --> 00:48:23,270

 

1483
00:48:23,270 --> 00:48:26,230

 

1484
00:48:26,230 --> 00:48:26,240

 

1485
00:48:26,240 --> 00:48:28,309


1486
00:48:28,309 --> 00:48:28,319

 

1487
00:48:28,319 --> 00:48:29,589


1488
00:48:29,589 --> 00:48:31,829

 

1489
00:48:31,829 --> 00:48:32,790

 

1490
00:48:32,790 --> 00:48:35,430

 

1491
00:48:35,430 --> 00:48:38,309

 

1492
00:48:38,309 --> 00:48:41,510

 

1493
00:48:41,510 --> 00:48:43,510

 

1494
00:48:43,510 --> 00:48:45,990

 

1495
00:48:45,990 --> 00:48:48,390

 

1496
00:48:48,390 --> 00:48:50,390

 

1497
00:48:50,390 --> 00:48:53,109

 

1498
00:48:53,109 --> 00:48:55,829

 

1499
00:48:55,829 --> 00:48:58,069

 

1500
00:48:58,069 --> 00:49:00,870

 

1501
00:49:00,870 --> 00:49:03,190

 

1502
00:49:03,190 --> 00:49:06,069

 

1503
00:49:06,069 --> 00:49:06,079

 

1504
00:49:06,079 --> 00:49:07,349


1505
00:49:07,349 --> 00:49:09,750

 

1506
00:49:09,750 --> 00:49:12,230

 

1507
00:49:12,230 --> 00:49:15,190

 

1508
00:49:15,190 --> 00:49:16,950

 

1509
00:49:16,950 --> 00:49:18,630

 

1510
00:49:18,630 --> 00:49:20,230

 

1511
00:49:20,230 --> 00:49:21,750

 

1512
00:49:21,750 --> 00:49:24,870

 

1513
00:49:24,870 --> 00:49:27,510

 

1514
00:49:27,510 --> 00:49:29,750

 

1515
00:49:29,750 --> 00:49:31,990

 

1516
00:49:31,990 --> 00:49:33,670

 

1517
00:49:33,670 --> 00:49:35,750

 

1518
00:49:35,750 --> 00:49:38,309

 

1519
00:49:38,309 --> 00:49:40,950

 

1520
00:49:40,950 --> 00:49:42,630

 

1521
00:49:42,630 --> 00:49:43,670

 

1522
00:49:43,670 --> 00:49:45,430

 

1523
00:49:45,430 --> 00:49:47,990

 

1524
00:49:47,990 --> 00:49:50,390

 

1525
00:49:50,390 --> 00:49:52,390

 

1526
00:49:52,390 --> 00:49:55,589

 

1527
00:49:55,589 --> 00:49:58,790

 

1528
00:49:58,790 --> 00:50:00,390

 

1529
00:50:00,390 --> 00:50:02,470

 

1530
00:50:02,470 --> 00:50:04,390

 

1531
00:50:04,390 --> 00:50:06,549

 

1532
00:50:06,549 --> 00:50:08,309

 

1533
00:50:08,309 --> 00:50:09,430

 

1534
00:50:09,430 --> 00:50:11,270

 

1535
00:50:11,270 --> 00:50:13,190

 

1536
00:50:13,190 --> 00:50:16,549

 

1537
00:50:16,549 --> 00:50:19,510

 

1538
00:50:19,510 --> 00:50:21,109

 

1539
00:50:21,109 --> 00:50:23,270

 

1540
00:50:23,270 --> 00:50:23,280

 

1541
00:50:23,280 --> 00:50:24,790


1542
00:50:24,790 --> 00:50:27,109

 

1543
00:50:27,109 --> 00:50:29,030

 

1544
00:50:29,030 --> 00:50:30,870

 

1545
00:50:30,870 --> 00:50:34,470

 

1546
00:50:34,470 --> 00:50:35,670

 

1547
00:50:35,670 --> 00:50:36,870

 

1548
00:50:36,870 --> 00:50:38,630

 

1549
00:50:38,630 --> 00:50:38,640

 

1550
00:50:38,640 --> 00:50:39,829


1551
00:50:39,829 --> 00:50:40,950

 

1552
00:50:40,950 --> 00:50:42,470

 

1553
00:50:42,470 --> 00:50:44,950

 

1554
00:50:44,950 --> 00:50:47,109

 

1555
00:50:47,109 --> 00:50:50,230

 

1556
00:50:50,230 --> 00:50:52,390

 

1557
00:50:52,390 --> 00:50:54,870

 

1558
00:50:54,870 --> 00:50:56,150

 

1559
00:50:56,150 --> 00:50:57,829

 

1560
00:50:57,829 --> 00:51:01,589

 

1561
00:51:01,589 --> 00:51:02,790

 

1562
00:51:02,790 --> 00:51:05,109

 

1563
00:51:05,109 --> 00:51:06,950

 

1564
00:51:06,950 --> 00:51:08,309

 

1565
00:51:08,309 --> 00:51:08,319

 

1566
00:51:08,319 --> 00:51:10,069


1567
00:51:10,069 --> 00:51:10,079

 

1568
00:51:10,079 --> 00:51:11,750


1569
00:51:11,750 --> 00:51:11,760

 

1570
00:51:11,760 --> 00:51:13,430


1571
00:51:13,430 --> 00:51:17,589

 

1572
00:51:17,589 --> 00:51:19,109

 

1573
00:51:19,109 --> 00:51:21,190

 

1574
00:51:21,190 --> 00:51:22,870

 

1575
00:51:22,870 --> 00:51:24,309

 

1576
00:51:24,309 --> 00:51:26,309

 

1577
00:51:26,309 --> 00:51:28,630

 

1578
00:51:28,630 --> 00:51:30,790

 

1579
00:51:30,790 --> 00:51:33,430

 

1580
00:51:33,430 --> 00:51:36,630

 

1581
00:51:36,630 --> 00:51:38,790

 

1582
00:51:38,790 --> 00:51:40,710

 

1583
00:51:40,710 --> 00:51:42,790

 

1584
00:51:42,790 --> 00:51:44,230

 

1585
00:51:44,230 --> 00:51:46,309

 

1586
00:51:46,309 --> 00:51:49,190

 

1587
00:51:49,190 --> 00:51:52,230

 

1588
00:51:52,230 --> 00:51:54,069

 

1589
00:51:54,069 --> 00:51:54,079

 

1590
00:51:54,079 --> 00:51:55,190


1591
00:51:55,190 --> 00:51:55,200

 

1592
00:51:55,200 --> 00:51:56,390


1593
00:51:56,390 --> 00:51:59,030

 

1594
00:51:59,030 --> 00:52:00,950

 

1595
00:52:00,950 --> 00:52:00,960

 

1596
00:52:00,960 --> 00:52:02,069


1597
00:52:02,069 --> 00:52:04,390

 

1598
00:52:04,390 --> 00:52:06,390

 

1599
00:52:06,390 --> 00:52:08,069

 

1600
00:52:08,069 --> 00:52:12,309

 

1601
00:52:12,309 --> 00:52:13,430

 

1602
00:52:13,430 --> 00:52:14,630

 

1603
00:52:14,630 --> 00:52:16,069

 

1604
00:52:16,069 --> 00:52:18,069

 

1605
00:52:18,069 --> 00:52:19,990

 

1606
00:52:19,990 --> 00:52:20,000

 

1607
00:52:20,000 --> 00:52:20,710


1608
00:52:20,710 --> 00:52:23,270

 

1609
00:52:23,270 --> 00:52:25,829

 

1610
00:52:25,829 --> 00:52:29,030

 

1611
00:52:29,030 --> 00:52:31,910

 

1612
00:52:31,910 --> 00:52:34,470

 

1613
00:52:34,470 --> 00:52:35,910

 

1614
00:52:35,910 --> 00:52:37,910

 

1615
00:52:37,910 --> 00:52:37,920

 

1616
00:52:37,920 --> 00:52:40,230


1617
00:52:40,230 --> 00:52:41,510

 

1618
00:52:41,510 --> 00:52:44,950

 

1619
00:52:44,950 --> 00:52:46,630

 

1620
00:52:46,630 --> 00:52:48,230

 

1621
00:52:48,230 --> 00:52:51,030

 

1622
00:52:51,030 --> 00:52:51,040

 

1623
00:52:51,040 --> 00:52:52,069


1624
00:52:52,069 --> 00:52:54,790

 

1625
00:52:54,790 --> 00:52:57,589

 

1626
00:52:57,589 --> 00:52:59,670

 

1627
00:52:59,670 --> 00:53:02,069

 

1628
00:53:02,069 --> 00:53:03,750

 

1629
00:53:03,750 --> 00:53:07,109

 

1630
00:53:07,109 --> 00:53:08,950

 

1631
00:53:08,950 --> 00:53:08,960

 

1632
00:53:08,960 --> 00:53:09,990


1633
00:53:09,990 --> 00:53:11,030

 

1634
00:53:11,030 --> 00:53:14,950

 

1635
00:53:14,950 --> 00:53:14,960

 

1636
00:53:14,960 --> 00:53:17,109


1637
00:53:17,109 --> 00:53:19,589

 

1638
00:53:19,589 --> 00:53:21,349

 

1639
00:53:21,349 --> 00:53:25,349

 

1640
00:53:25,349 --> 00:53:26,710

 

1641
00:53:26,710 --> 00:53:28,870

 

1642
00:53:28,870 --> 00:53:31,030

 

1643
00:53:31,030 --> 00:53:33,349

 

1644
00:53:33,349 --> 00:53:36,150

 

1645
00:53:36,150 --> 00:53:38,150

 

1646
00:53:38,150 --> 00:53:39,349

 

1647
00:53:39,349 --> 00:53:41,270

 

1648
00:53:41,270 --> 00:53:43,109

 

1649
00:53:43,109 --> 00:53:44,710

 

1650
00:53:44,710 --> 00:53:46,630

 

1651
00:53:46,630 --> 00:53:48,150

 

1652
00:53:48,150 --> 00:53:50,150

 

1653
00:53:50,150 --> 00:53:51,750

 

1654
00:53:51,750 --> 00:53:53,270

 

1655
00:53:53,270 --> 00:53:53,280

 

1656
00:53:53,280 --> 00:53:54,069


1657
00:53:54,069 --> 00:53:55,829

 

1658
00:53:55,829 --> 00:53:57,670

 

1659
00:53:57,670 --> 00:53:59,190

 

1660
00:53:59,190 --> 00:54:00,870

 

1661
00:54:00,870 --> 00:54:03,349

 

1662
00:54:03,349 --> 00:54:05,030

 

1663
00:54:05,030 --> 00:54:06,710

 

1664
00:54:06,710 --> 00:54:07,750

 

1665
00:54:07,750 --> 00:54:07,760

 

1666
00:54:07,760 --> 00:54:09,030


1667
00:54:09,030 --> 00:54:11,510

 

1668
00:54:11,510 --> 00:54:13,510

 

1669
00:54:13,510 --> 00:54:14,470

 

1670
00:54:14,470 --> 00:54:16,390

 

1671
00:54:16,390 --> 00:54:17,829

 

1672
00:54:17,829 --> 00:54:20,390

 

1673
00:54:20,390 --> 00:54:22,870

 

1674
00:54:22,870 --> 00:54:24,790

 

1675
00:54:24,790 --> 00:54:28,230

 

1676
00:54:28,230 --> 00:54:28,240

 

1677
00:54:28,240 --> 00:54:30,230


1678
00:54:30,230 --> 00:54:30,240

 

1679
00:54:30,240 --> 00:54:31,510


1680
00:54:31,510 --> 00:54:33,349

 

1681
00:54:33,349 --> 00:54:35,510

 

1682
00:54:35,510 --> 00:54:39,349

 

1683
00:54:39,349 --> 00:54:42,309

 

1684
00:54:42,309 --> 00:54:44,470

 

1685
00:54:44,470 --> 00:54:46,470

 

1686
00:54:46,470 --> 00:54:48,470

 

1687
00:54:48,470 --> 00:54:50,150

 

1688
00:54:50,150 --> 00:54:52,470

 

1689
00:54:52,470 --> 00:54:52,480

 

1690
00:54:52,480 --> 00:54:54,950


1691
00:54:54,950 --> 00:54:54,960

 

1692
00:54:54,960 --> 00:54:55,750


1693
00:54:55,750 --> 00:54:57,910

 

1694
00:54:57,910 --> 00:54:59,430

 

1695
00:54:59,430 --> 00:55:00,549

 

1696
00:55:00,549 --> 00:55:02,630

 

1697
00:55:02,630 --> 00:55:05,589

 

1698
00:55:05,589 --> 00:55:06,870

 

1699
00:55:06,870 --> 00:55:08,870

 

1700
00:55:08,870 --> 00:55:10,950

 

1701
00:55:10,950 --> 00:55:12,230

 

1702
00:55:12,230 --> 00:55:12,240

 

1703
00:55:12,240 --> 00:55:13,190


1704
00:55:13,190 --> 00:55:15,030

 

1705
00:55:15,030 --> 00:55:17,510

 

1706
00:55:17,510 --> 00:55:19,190

 

1707
00:55:19,190 --> 00:55:20,789

 

1708
00:55:20,789 --> 00:55:22,230

 

1709
00:55:22,230 --> 00:55:25,109

 

1710
00:55:25,109 --> 00:55:26,950

 

1711
00:55:26,950 --> 00:55:28,710

 

1712
00:55:28,710 --> 00:55:30,069

 

1713
00:55:30,069 --> 00:55:31,270

 

1714
00:55:31,270 --> 00:55:33,349

 

1715
00:55:33,349 --> 00:55:36,789

 

1716
00:55:36,789 --> 00:55:39,349

 

1717
00:55:39,349 --> 00:55:39,359

 

1718
00:55:39,359 --> 00:55:40,230


1719
00:55:40,230 --> 00:55:42,950

 

1720
00:55:42,950 --> 00:55:45,910

 

1721
00:55:45,910 --> 00:55:47,349

 

1722
00:55:47,349 --> 00:55:49,829

 

1723
00:55:49,829 --> 00:55:51,670

 

1724
00:55:51,670 --> 00:55:53,750

 

1725
00:55:53,750 --> 00:55:56,470

 

1726
00:55:56,470 --> 00:55:58,390

 

1727
00:55:58,390 --> 00:55:59,750

 

1728
00:55:59,750 --> 00:56:01,910

 

1729
00:56:01,910 --> 00:56:03,910

 

1730
00:56:03,910 --> 00:56:06,470

 

1731
00:56:06,470 --> 00:56:08,870

 

1732
00:56:08,870 --> 00:56:11,109

 

1733
00:56:11,109 --> 00:56:14,309

 

1734
00:56:14,309 --> 00:56:16,549

 

1735
00:56:16,549 --> 00:56:16,559

 

1736
00:56:16,559 --> 00:56:17,990


1737
00:56:17,990 --> 00:56:21,109

 

1738
00:56:21,109 --> 00:56:22,549

 

1739
00:56:22,549 --> 00:56:24,069

 

1740
00:56:24,069 --> 00:56:25,430

 

1741
00:56:25,430 --> 00:56:28,710

 

1742
00:56:28,710 --> 00:56:31,270

 

1743
00:56:31,270 --> 00:56:32,870

 

1744
00:56:32,870 --> 00:56:35,190

 

1745
00:56:35,190 --> 00:56:37,510

 

1746
00:56:37,510 --> 00:56:40,309

 

1747
00:56:40,309 --> 00:56:42,309

 

1748
00:56:42,309 --> 00:56:44,710

 

1749
00:56:44,710 --> 00:56:47,190

 

1750
00:56:47,190 --> 00:56:50,069

 

1751
00:56:50,069 --> 00:56:50,079

 

1752
00:56:50,079 --> 00:56:50,950


1753
00:56:50,950 --> 00:56:53,750

 

1754
00:56:53,750 --> 00:56:55,589

 

1755
00:56:55,589 --> 00:56:57,670

 

1756
00:56:57,670 --> 00:57:01,030

 

1757
00:57:01,030 --> 00:57:03,270

 

1758
00:57:03,270 --> 00:57:05,589

 

1759
00:57:05,589 --> 00:57:08,710

 

1760
00:57:08,710 --> 00:57:11,349

 

1761
00:57:11,349 --> 00:57:15,190

 

1762
00:57:15,190 --> 00:57:17,670

 

1763
00:57:17,670 --> 00:57:20,789

 

1764
00:57:20,789 --> 00:57:20,799

 

1765
00:57:20,799 --> 00:57:21,990


1766
00:57:21,990 --> 00:57:25,109

 

1767
00:57:25,109 --> 00:57:27,270

 

1768
00:57:27,270 --> 00:57:29,270

 

1769
00:57:29,270 --> 00:57:30,870

 

1770
00:57:30,870 --> 00:57:33,430

 

1771
00:57:33,430 --> 00:57:35,990

 

1772
00:57:35,990 --> 00:57:36,000

 

1773
00:57:36,000 --> 00:57:37,349


1774
00:57:37,349 --> 00:57:39,670

 

1775
00:57:39,670 --> 00:57:41,109

 

1776
00:57:41,109 --> 00:57:42,950

 

1777
00:57:42,950 --> 00:57:44,950

 

1778
00:57:44,950 --> 00:57:47,510

 

1779
00:57:47,510 --> 00:57:47,520

 

1780
00:57:47,520 --> 00:57:48,630


1781
00:57:48,630 --> 00:57:50,549

 

1782
00:57:50,549 --> 00:57:54,150

 

1783
00:57:54,150 --> 00:57:56,150

 

1784
00:57:56,150 --> 00:57:58,230

 

1785
00:57:58,230 --> 00:58:00,470

 

1786
00:58:00,470 --> 00:58:03,190

 

1787
00:58:03,190 --> 00:58:06,230

 

1788
00:58:06,230 --> 00:58:07,750

 

1789
00:58:07,750 --> 00:58:09,190

 

1790
00:58:09,190 --> 00:58:10,950

 

1791
00:58:10,950 --> 00:58:13,270

 

1792
00:58:13,270 --> 00:58:14,150

 

1793
00:58:14,150 --> 00:58:15,430

 

1794
00:58:15,430 --> 00:58:17,270

 

1795
00:58:17,270 --> 00:58:19,190

 

1796
00:58:19,190 --> 00:58:20,390

 

1797
00:58:20,390 --> 00:58:22,069

 

1798
00:58:22,069 --> 00:58:23,349

 

1799
00:58:23,349 --> 00:58:25,270

 

1800
00:58:25,270 --> 00:58:28,069

 

1801
00:58:28,069 --> 00:58:30,710

 

1802
00:58:30,710 --> 00:58:33,270

 

1803
00:58:33,270 --> 00:58:35,589

 

1804
00:58:35,589 --> 00:58:37,109

 

1805
00:58:37,109 --> 00:58:39,430

 

1806
00:58:39,430 --> 00:58:42,309

 

1807
00:58:42,309 --> 00:58:42,319

 

1808
00:58:42,319 --> 00:58:43,589


1809
00:58:43,589 --> 00:58:43,599

 

1810
00:58:43,599 --> 00:58:44,789


1811
00:58:44,789 --> 00:58:46,630

 

1812
00:58:46,630 --> 00:58:46,640

 

1813
00:58:46,640 --> 00:58:47,910


1814
00:58:47,910 --> 00:58:49,510

 

1815
00:58:49,510 --> 00:58:50,710

 

1816
00:58:50,710 --> 00:58:50,720

 

1817
00:58:50,720 --> 00:58:51,990


1818
00:58:51,990 --> 00:58:52,000

 

1819
00:58:52,000 --> 00:58:52,870


1820
00:58:52,870 --> 00:58:55,190

 

1821
00:58:55,190 --> 00:58:57,430

 

1822
00:58:57,430 --> 00:58:59,829

 

1823
00:58:59,829 --> 00:59:03,030

 

1824
00:59:03,030 --> 00:59:05,670

 

1825
00:59:05,670 --> 00:59:07,430

 

1826
00:59:07,430 --> 00:59:08,950

 

1827
00:59:08,950 --> 00:59:10,470

 

1828
00:59:10,470 --> 00:59:11,910

 

1829
00:59:11,910 --> 00:59:14,470

 

1830
00:59:14,470 --> 00:59:14,480

 

1831
00:59:14,480 --> 00:59:15,910


1832
00:59:15,910 --> 00:59:17,589

 

1833
00:59:17,589 --> 00:59:19,829

 

1834
00:59:19,829 --> 00:59:22,230

 

1835
00:59:22,230 --> 00:59:22,240

 

1836
00:59:22,240 --> 00:59:23,589


1837
00:59:23,589 --> 00:59:23,599

 

1838
00:59:23,599 --> 00:59:24,549


1839
00:59:24,549 --> 00:59:26,390

 

1840
00:59:26,390 --> 00:59:28,069

 

1841
00:59:28,069 --> 00:59:29,910

 

1842
00:59:29,910 --> 00:59:32,309

 

1843
00:59:32,309 --> 00:59:37,109

 

1844
00:59:37,109 --> 00:59:38,870

 

1845
00:59:38,870 --> 00:59:40,870

 

1846
00:59:40,870 --> 00:59:42,710

 

1847
00:59:42,710 --> 00:59:44,950

 

1848
00:59:44,950 --> 00:59:46,470

 

1849
00:59:46,470 --> 00:59:48,710

 

1850
00:59:48,710 --> 00:59:49,910

 

1851
00:59:49,910 --> 00:59:49,920

 

1852
00:59:49,920 --> 00:59:53,030


1853
00:59:53,030 --> 00:59:54,789

 

1854
00:59:54,789 --> 00:59:56,309

 

1855
00:59:56,309 --> 00:59:58,150

 

1856
00:59:58,150 --> 01:00:00,470

 

1857
01:00:00,470 --> 01:00:02,630

 

1858
01:00:02,630 --> 01:00:05,430

 

1859
01:00:05,430 --> 01:00:08,230

 

1860
01:00:08,230 --> 01:00:09,589

 

1861
01:00:09,589 --> 01:00:12,630

 

1862
01:00:12,630 --> 01:00:15,430

 

1863
01:00:15,430 --> 01:00:18,630

 

1864
01:00:18,630 --> 01:00:20,630

 

1865
01:00:20,630 --> 01:00:21,990

 

1866
01:00:21,990 --> 01:00:24,549

 

1867
01:00:24,549 --> 01:00:26,470

 

1868
01:00:26,470 --> 01:00:27,750

 

1869
01:00:27,750 --> 01:00:29,750

 

1870
01:00:29,750 --> 01:00:30,870

 

1871
01:00:30,870 --> 01:00:32,390

 

1872
01:00:32,390 --> 01:00:33,750

 

1873
01:00:33,750 --> 01:00:36,069

 

1874
01:00:36,069 --> 01:00:37,750

 

1875
01:00:37,750 --> 01:00:39,750

 

1876
01:00:39,750 --> 01:00:41,190

 

1877
01:00:41,190 --> 01:00:43,510

 

1878
01:00:43,510 --> 01:00:43,520

 

1879
01:00:43,520 --> 01:00:44,789


1880
01:00:44,789 --> 01:00:47,190

 

1881
01:00:47,190 --> 01:00:47,990

 

1882
01:00:47,990 --> 01:00:50,069

 

1883
01:00:50,069 --> 01:00:52,630

 

1884
01:00:52,630 --> 01:00:52,640

 

1885
01:00:52,640 --> 01:00:54,710


1886
01:00:54,710 --> 01:00:56,950

 

1887
01:00:56,950 --> 01:00:59,430

 

1888
01:00:59,430 --> 01:01:00,710

 

1889
01:01:00,710 --> 01:01:02,069

 

1890
01:01:02,069 --> 01:01:03,910

 

1891
01:01:03,910 --> 01:01:05,829

 

1892
01:01:05,829 --> 01:01:07,510

 

1893
01:01:07,510 --> 01:01:08,950

 

1894
01:01:08,950 --> 01:01:11,349

 

1895
01:01:11,349 --> 01:01:13,510

 

1896
01:01:13,510 --> 01:01:16,150

 

1897
01:01:16,150 --> 01:01:17,589

 

1898
01:01:17,589 --> 01:01:19,270

 

1899
01:01:19,270 --> 01:01:20,309

 

1900
01:01:20,309 --> 01:01:21,910

 

1901
01:01:21,910 --> 01:01:23,670

 

1902
01:01:23,670 --> 01:01:25,670

 

1903
01:01:25,670 --> 01:01:28,230

 

1904
01:01:28,230 --> 01:01:29,670

 

1905
01:01:29,670 --> 01:01:29,680

 

1906
01:01:29,680 --> 01:01:30,710


1907
01:01:30,710 --> 01:01:31,990

 

1908
01:01:31,990 --> 01:01:33,589

 

1909
01:01:33,589 --> 01:01:35,990

 

1910
01:01:35,990 --> 01:01:37,030

 

1911
01:01:37,030 --> 01:01:40,069

 

1912
01:01:40,069 --> 01:01:42,549

 

1913
01:01:42,549 --> 01:01:44,309

 

1914
01:01:44,309 --> 01:01:46,309

 

1915
01:01:46,309 --> 01:01:48,309

 

1916
01:01:48,309 --> 01:01:50,549

 

1917
01:01:50,549 --> 01:01:52,470

 

1918
01:01:52,470 --> 01:01:54,470

 

1919
01:01:54,470 --> 01:01:56,069

 

1920
01:01:56,069 --> 01:01:57,670

 

1921
01:01:57,670 --> 01:01:59,510

 

1922
01:01:59,510 --> 01:02:00,630

 

1923
01:02:00,630 --> 01:02:00,640

 

1924
01:02:00,640 --> 01:02:02,309


1925
01:02:02,309 --> 01:02:05,430

 

1926
01:02:05,430 --> 01:02:07,430

 

1927
01:02:07,430 --> 01:02:10,150

 

1928
01:02:10,150 --> 01:02:11,589

 

1929
01:02:11,589 --> 01:02:13,670

 

1930
01:02:13,670 --> 01:02:16,309

 

1931
01:02:16,309 --> 01:02:19,589

 

1932
01:02:19,589 --> 01:02:24,950

 

1933
01:02:24,950 --> 01:02:24,960

 

1934
01:02:24,960 --> 01:02:25,829


1935
01:02:25,829 --> 01:02:28,549

 

1936
01:02:28,549 --> 01:02:28,559

 

1937
01:02:28,559 --> 01:02:29,270


1938
01:02:29,270 --> 01:02:32,390

 

1939
01:02:32,390 --> 01:02:32,400

 

1940
01:02:32,400 --> 01:02:33,190


1941
01:02:33,190 --> 01:02:35,190

 

1942
01:02:35,190 --> 01:02:37,190

 

1943
01:02:37,190 --> 01:02:38,789

 

1944
01:02:38,789 --> 01:02:38,799

 

1945
01:02:38,799 --> 01:02:40,150


1946
01:02:40,150 --> 01:02:42,470

 

1947
01:02:42,470 --> 01:02:44,789

 

1948
01:02:44,789 --> 01:02:46,150

 

1949
01:02:46,150 --> 01:02:48,789

 

1950
01:02:48,789 --> 01:02:48,799

 

1951
01:02:48,799 --> 01:02:49,910


1952
01:02:49,910 --> 01:02:52,230

 

1953
01:02:52,230 --> 01:02:54,950

 

1954
01:02:54,950 --> 01:02:54,960

 

1955
01:02:54,960 --> 01:02:56,150


1956
01:02:56,150 --> 01:02:58,390

 

1957
01:02:58,390 --> 01:02:59,750

 

1958
01:02:59,750 --> 01:03:01,190

 

1959
01:03:01,190 --> 01:03:03,270

 

1960
01:03:03,270 --> 01:03:05,589

 

1961
01:03:05,589 --> 01:03:08,309

 

1962
01:03:08,309 --> 01:03:10,390

 

1963
01:03:10,390 --> 01:03:12,309

 

1964
01:03:12,309 --> 01:03:12,319

 

1965
01:03:12,319 --> 01:03:13,270


1966
01:03:13,270 --> 01:03:15,190

 

1967
01:03:15,190 --> 01:03:17,349

 

1968
01:03:17,349 --> 01:03:18,950

 

1969
01:03:18,950 --> 01:03:20,470

 

1970
01:03:20,470 --> 01:03:22,230

 

1971
01:03:22,230 --> 01:03:23,990

 

1972
01:03:23,990 --> 01:03:25,029

 

1973
01:03:25,029 --> 01:03:26,870

 

1974
01:03:26,870 --> 01:03:28,230

 

1975
01:03:28,230 --> 01:03:29,750

 

1976
01:03:29,750 --> 01:03:31,190

 

1977
01:03:31,190 --> 01:03:32,789

 

1978
01:03:32,789 --> 01:03:32,799

 

1979
01:03:32,799 --> 01:03:34,710


1980
01:03:34,710 --> 01:03:36,470

 

1981
01:03:36,470 --> 01:03:37,510

 

1982
01:03:37,510 --> 01:03:39,990

 

1983
01:03:39,990 --> 01:03:41,750

 

1984
01:03:41,750 --> 01:03:44,390

 

1985
01:03:44,390 --> 01:03:46,470

 

1986
01:03:46,470 --> 01:03:48,950

 

1987
01:03:48,950 --> 01:03:50,630

 

1988
01:03:50,630 --> 01:03:52,069

 

1989
01:03:52,069 --> 01:03:55,829

 

1990
01:03:55,829 --> 01:03:58,390

 

1991
01:03:58,390 --> 01:03:58,400

 

1992
01:03:58,400 --> 01:03:58,960


1993
01:03:58,960 --> 01:03:58,970

 

1994
01:03:58,970 --> 01:04:00,150


1995
01:04:00,150 --> 01:04:02,470

 

1996
01:04:02,470 --> 01:04:06,390

 

1997
01:04:06,390 --> 01:04:08,870

 

1998
01:04:08,870 --> 01:04:11,589

 

1999
01:04:11,589 --> 01:04:12,870

 

2000
01:04:12,870 --> 01:04:12,880

 

2001
01:04:12,880 --> 01:04:14,470


2002
01:04:14,470 --> 01:04:16,870

 

2003
01:04:16,870 --> 01:04:16,880

 

2004
01:04:16,880 --> 01:04:18,150


2005
01:04:18,150 --> 01:04:18,160

 

2006
01:04:18,160 --> 01:04:19,349


2007
01:04:19,349 --> 01:04:21,750

 

2008
01:04:21,750 --> 01:04:24,470

 

2009
01:04:24,470 --> 01:04:27,589

 

2010
01:04:27,589 --> 01:04:29,109

 

2011
01:04:29,109 --> 01:04:31,589

 

2012
01:04:31,589 --> 01:04:35,349

 

2013
01:04:35,349 --> 01:04:35,359

 

2014
01:04:35,359 --> 01:04:36,549


2015
01:04:36,549 --> 01:04:39,109

 

2016
01:04:39,109 --> 01:04:40,870

 

2017
01:04:40,870 --> 01:04:42,710

 

2018
01:04:42,710 --> 01:04:44,950

 

2019
01:04:44,950 --> 01:04:46,309

 

2020
01:04:46,309 --> 01:04:46,319

 

2021
01:04:46,319 --> 01:04:47,990


2022
01:04:47,990 --> 01:04:50,150

 

2023
01:04:50,150 --> 01:04:51,430

 

2024
01:04:51,430 --> 01:04:55,670

 

2025
01:04:55,670 --> 01:04:57,190

 

2026
01:04:57,190 --> 01:04:59,029

 

2027
01:04:59,029 --> 01:05:01,910

 

2028
01:05:01,910 --> 01:05:03,430

 

2029
01:05:03,430 --> 01:05:05,829

 

2030
01:05:05,829 --> 01:05:07,910

 

2031
01:05:07,910 --> 01:05:09,190

 

2032
01:05:09,190 --> 01:05:10,870

 

2033
01:05:10,870 --> 01:05:12,950

 

2034
01:05:12,950 --> 01:05:15,029

 

2035
01:05:15,029 --> 01:05:17,349

 

2036
01:05:17,349 --> 01:05:19,510

 

2037
01:05:19,510 --> 01:05:21,430

 

2038
01:05:21,430 --> 01:05:24,390

 

2039
01:05:24,390 --> 01:05:26,230

 

2040
01:05:26,230 --> 01:05:27,910

 

2041
01:05:27,910 --> 01:05:29,589

 

2042
01:05:29,589 --> 01:05:32,470

 

2043
01:05:32,470 --> 01:05:34,710

 

2044
01:05:34,710 --> 01:05:37,430

 

2045
01:05:37,430 --> 01:05:39,990

 

2046
01:05:39,990 --> 01:05:42,549

 

2047
01:05:42,549 --> 01:05:44,789

 

2048
01:05:44,789 --> 01:05:47,109

 

2049
01:05:47,109 --> 01:05:48,470

 

2050
01:05:48,470 --> 01:05:50,230

 

2051
01:05:50,230 --> 01:05:53,589

 

2052
01:05:53,589 --> 01:05:55,190

 

2053
01:05:55,190 --> 01:05:57,349

 

2054
01:05:57,349 --> 01:05:58,870

 

2055
01:05:58,870 --> 01:06:00,710

 

2056
01:06:00,710 --> 01:06:03,510

 

2057
01:06:03,510 --> 01:06:05,430

 

2058
01:06:05,430 --> 01:06:07,829

 

2059
01:06:07,829 --> 01:06:07,839

 

2060
01:06:07,839 --> 01:06:08,950


2061
01:06:08,950 --> 01:06:11,589

 

2062
01:06:11,589 --> 01:06:13,190

 

2063
01:06:13,190 --> 01:06:14,710

 

2064
01:06:14,710 --> 01:06:16,470

 

2065
01:06:16,470 --> 01:06:19,510

 

2066
01:06:19,510 --> 01:06:21,990

 

2067
01:06:21,990 --> 01:06:23,670

 

2068
01:06:23,670 --> 01:06:26,230

 

2069
01:06:26,230 --> 01:06:28,390

 

2070
01:06:28,390 --> 01:06:29,510

 

2071
01:06:29,510 --> 01:06:30,870

 

2072
01:06:30,870 --> 01:06:34,630

 

2073
01:06:34,630 --> 01:06:36,470

 

2074
01:06:36,470 --> 01:06:39,589

 

2075
01:06:39,589 --> 01:06:42,230

 

2076
01:06:42,230 --> 01:06:42,240

 

2077
01:06:42,240 --> 01:06:43,190


2078
01:06:43,190 --> 01:06:43,200

 

2079
01:06:43,200 --> 01:06:44,390


2080
01:06:44,390 --> 01:06:46,549

 

2081
01:06:46,549 --> 01:06:47,670

 

2082
01:06:47,670 --> 01:06:50,069

 

2083
01:06:50,069 --> 01:06:50,079

 

2084
01:06:50,079 --> 01:06:51,349


2085
01:06:51,349 --> 01:06:53,750

 

2086
01:06:53,750 --> 01:06:55,910

 

2087
01:06:55,910 --> 01:06:58,069

 

2088
01:06:58,069 --> 01:07:00,710

 

2089
01:07:00,710 --> 01:07:02,950

 

2090
01:07:02,950 --> 01:07:05,670

 

2091
01:07:05,670 --> 01:07:07,829

 

2092
01:07:07,829 --> 01:07:09,750

 

2093
01:07:09,750 --> 01:07:13,670

 

2094
01:07:13,670 --> 01:07:15,109

 

2095
01:07:15,109 --> 01:07:16,789

 

2096
01:07:16,789 --> 01:07:19,510

 

2097
01:07:19,510 --> 01:07:21,349

 

2098
01:07:21,349 --> 01:07:23,029

 

2099
01:07:23,029 --> 01:07:24,950

 

2100
01:07:24,950 --> 01:07:26,470

 

2101
01:07:26,470 --> 01:07:27,990

 

2102
01:07:27,990 --> 01:07:30,950

 

2103
01:07:30,950 --> 01:07:32,630

 

2104
01:07:32,630 --> 01:07:32,640

 

2105
01:07:32,640 --> 01:07:33,510


2106
01:07:33,510 --> 01:07:35,109

 

2107
01:07:35,109 --> 01:07:35,119

 

2108
01:07:35,119 --> 01:07:36,230


2109
01:07:36,230 --> 01:07:39,589

 

2110
01:07:39,589 --> 01:07:41,510

 

2111
01:07:41,510 --> 01:07:43,910

 

2112
01:07:43,910 --> 01:07:47,589

 

2113
01:07:47,589 --> 01:07:49,349

 

2114
01:07:49,349 --> 01:07:51,029

 

2115
01:07:51,029 --> 01:07:52,789

 

2116
01:07:52,789 --> 01:07:54,470

 

2117
01:07:54,470 --> 01:07:54,480

 

2118
01:07:54,480 --> 01:07:57,109


2119
01:07:57,109 --> 01:08:01,750

 

2120
01:08:01,750 --> 01:08:03,670

 

2121
01:08:03,670 --> 01:08:05,990

 

2122
01:08:05,990 --> 01:08:08,950

 

2123
01:08:08,950 --> 01:08:10,710

 

2124
01:08:10,710 --> 01:08:12,870

 

2125
01:08:12,870 --> 01:08:14,789

 

2126
01:08:14,789 --> 01:08:17,189

 

2127
01:08:17,189 --> 01:08:18,470

 

2128
01:08:18,470 --> 01:08:19,590

 

2129
01:08:19,590 --> 01:08:19,600

 

2130
01:08:19,600 --> 01:08:20,630


2131
01:08:20,630 --> 01:08:24,470

 

2132
01:08:24,470 --> 01:08:24,480

 

2133
01:08:24,480 --> 01:08:26,709


2134
01:08:26,709 --> 01:08:26,719

 

2135
01:08:26,719 --> 01:08:27,510


2136
01:08:27,510 --> 01:08:27,520

 

2137
01:08:27,520 --> 01:08:28,789


2138
01:08:28,789 --> 01:08:30,630

 

2139
01:08:30,630 --> 01:08:30,640

 

2140
01:08:30,640 --> 01:08:31,590


2141
01:08:31,590 --> 01:08:31,600

 

2142
01:08:31,600 --> 01:08:32,309


2143
01:08:32,309 --> 01:08:34,870

 

2144
01:08:34,870 --> 01:08:37,349

 

2145
01:08:37,349 --> 01:08:39,269

 

2146
01:08:39,269 --> 01:08:41,910

 

2147
01:08:41,910 --> 01:08:43,510

 

2148
01:08:43,510 --> 01:08:44,789

 

2149
01:08:44,789 --> 01:08:47,430

 

2150
01:08:47,430 --> 01:08:49,269

 

2151
01:08:49,269 --> 01:08:51,590

 

2152
01:08:51,590 --> 01:08:53,749

 

2153
01:08:53,749 --> 01:08:55,829

 

2154
01:08:55,829 --> 01:08:58,550

 

2155
01:08:58,550 --> 01:09:00,950

 

2156
01:09:00,950 --> 01:09:02,229

 

2157
01:09:02,229 --> 01:09:04,070

 

2158
01:09:04,070 --> 01:09:07,110

 

2159
01:09:07,110 --> 01:09:22,149

 

2160
01:09:22,149 --> 01:09:22,159

 

2161
01:09:22,159 --> 01:09:24,239