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so we've been talking about  p and np  and the time complexity classes  and today we're going to shift gear  we're going to talk about uh space  complexity or memory complexity as uh  space complexity is what complexity  theorists uh usually refer  refer to it as  um  and um  you know time and space are the two  basic most basic measures of complexity  that uh that we consider and so um today  we're going to look at the the second of  those two um the space complexity  uh so we will  define  a lot of this is going to be  by analogy with what  we did for time complexity we're going  to define complexity classes we'll talk  about  polynomial space and non-deterministic  polynomial space  um see how those  classes connect up with the time  complexity classes that we've already  defined  and we'll do some examples that will be  setting us up for our  further discussion about space  complexity next week  so  we're going to talk about first of all  what it means for a turing machine  to run in a certain  certain amount of space  and that's simply going to be counting  the number of cells that the turing  machine  scans over  on its tape during the course of its  computation you might be reading that  cell might be writing on that cell but  the total number of cells that it  actually um  visits  um of course visiting the same cell  multiple times only counts once because  space can be reused  but we're going to count the number of  cells that the turing machine visits  during the course of its computation and  then define  the space utilization by analogy with  what we did for time so we'll say a  turing machine runs in a certain amount  of space f n we'll say  if first of all it has to always hold so  all of the machines are deciders  and it uses at most  that much uh tape that much that  it visits that number of cells  on all  inputs of length n  so just like we said for time complexity  the machine has to run within  t of n time  on all inputs  of length n here it's going to have to  use at most f of n  cells  on all inputs of length n in order for  it to be running in space f n  okay a tape cell is simply a little  square of the tape where you can write a  symbol  okay answering a question that good  question that came in from the chat  so um you know  uh  i'm not sure we have i have a  diagram for that but the um in each of  the little squares on the tape are going  to be the tape cells  generally we're going to be sticking to  one tape turing machines but i'll make a  brief remark about multi-tape during  machining shortly  better take cells  sorry  uh on all inputs of length n  uh so return  now okay so that's for deterministic uh  turing machines  for non-deterministic touring machines  we will say uh that it  also runs in a certain amount of space  so for a  non-deterministic machine  it has to  use  at most  that many tape cells  on each branch of its computation  separately you don't add up the total  number of cells used across all of the  branches just like we don't add up the  total amount of time the machine  uses across all of its branches for the  machine to be running in say space n  squared  it has to be using it most n squared  cells  or order n squared cells on each one of  its non-deterministic branches  separately  there might be exponentially many  branches but that's okay  but on each branch it's going to be  using at most n squared or order n  squared cells  importantly though that still the  machine has to be a decider  it's not enough to be looping forever  and using a small amount of space  it could do that but that's not going to  count toward the machine contributing to  its um  space complexity of that language so for  the machine to be running in a certain  amount of space we say that the machine  holds on all of its branches  and each one of its branches uses at  most  that much space okay  again  i can see lots of typos here thank you  um  i messed this all up today  uh  some non-deterministic  good thank you  um  all right so we're going to define the  space complexity classes analogous to  this time complexity classes so these  are languages  that you can do  with machines  that run within that space bound  so  um space f n you can think of space n  squared  um is all of the languages  that a deterministic one tape turing  machine  um can do  within uh can decide within by using in  most n-squared tape cells or order  n-squared tape cells similarly the  non-deterministic space  complexity class are all of the  languages that are non-deterministic one  tape turing machine can decide  running within that amount of space  okay  and lastly  we have a polynomial space  so that's the union over all polynomial  space bounds of the space complexity  class and non-deterministic polynomial  space  it's the same for all of the  non-deterministic  uh polynomial space classes  okay  so i think i do have a check-in on this  um  whoops  which talks about  uh multi-tape turing machines  so we could define  space complexity for multi-tape turing  machines just as we've been doing which  is we did for one tape turning machines  and then define the associated space  complexity classes and then define  the class p space but that would be for  multi-turing machines  now for time  uh  remember that the class p  that you would get from multitape turing  machines is exactly the same as the  class p that we got for one tape turing  machines um that was part of the  nice  quality of the class p it's robust in  that sense a natural so how about for p  space um what do you think do we get the  same class  um  no maybe  or  yes because we can convert a multi-tape  turning machine to a single tape turning  machine by only squaring the amount of  space  um  that was what happened with time as you  remember  or maybe we can do even better  converting a multi-tape touring machine  to single tape only increases it by by  less by say a constant factor here  remember how this is how we're defining  space complexity for multi-tape turing  machines we're taking the sum of all the  cells used on all of the tapes  all right so  let's launch that poll and see what you  think  hopefully this is not  too  hard um  yeah i think most of you have got the  idea though some of you are  i worry sometimes about some of the  answers that i get  i don't know if you're serious or  you're really com  badly confused  but anyway let's  let's wrap this up another  10 seconds or so  let's call  okay i'm gonna end it  yeah i mean i  uh i think  answer b is a reasonable answer in fact  uh answer c is the correct answer uh you  can if you just look at the same  simulation from multi-tape to single  tape  and how much space overhead that  simulation introduces  um it's only linear you're basically  just taking all of the tapes of the  multitape machine and writing them down  next to one another  obviously you know ignoring all the  infinite infinitely many blanks we're  just taking the active portion of the  tapes writing them down next to each  other so the total amount used is just  going to be the sum  on the single tape of what was used on  each of the  individual multitapes in the original  machine  so there's just a linear cost overhead  by converting from multi-tape to single  tape when you're looking at space the  amount of memory that's used  for time remember there was some  additional overhead because we had to be  uh updating um where the virtual heads  were and that uh cost extra time to move  our single head around to do that but  for space  the amount of time that's introduced is  not as irrelevant we're only looking at  the amount of memory and so that's a um  link going to just uh you know  the overhead on that is very low  i would do worry about the folks who are  answering a for example in this uh for  this question you should be  rethinking  what's what what's really going on here  um  uh so  okay  um  now  let us  um  move on here from from that to our next  uh slide  and  compare  uh the time and space complexity classes  you know or time and space complexity  how do they relate to one another  and so first of all we're going to point  out  um  let's  uh start out  here  t of n is going to be represent some  bound either on the time or the amount  of space and generally at least up till  this point um and most of the mostly  going forward though there's going to be  one  variation on that a little later but  we're going to be focusing on  uh bounds which are at least  big enough to either read the input or  at least hold the input that's why we  we refer to t of n being at least n  um  so now if we  look at  uh the time complexity class t of n  think of that t of n like typically  would be say n squared maybe  and the things that you can do  in n squared time  i claim you can also do in n squared  space  um  and basically  um it's just using the very same machine  suppose you have a machine that runs in  n squared time how could it possibly use  say n square n cubed space if it's  running only in n square time  even if it tries to use as much state as  it possibly could as many tape cells as  it possibly could  and you know sending its head cruising  out um into the blind portion of the  tape chewing up as much uh as many tape  cells as it possibly can in in n squared  time it's only going to be able to use n  squared space so the very same machine  that runs in t of n time is also going  to run in t event space um so this  containment here  follows you know really without doing um  any work at all um  so just re restating that here um a  uh turing machine that runs in t of n  steps cannot use more than t of n tape  cells  okay so right now we're focusing on we  could prove some analogous statements  about  non-deterministic complexity um but  let's focus here on the deterministic  complexity  now let's look at going the other  direction suppose we have a turing  machine  that uses t of n  space now  does that immediately imply it's using  only t of n and time  and that's  uh not so clear and in fact probably not  true  because  a space appears to be much more powerful  than time and within a certain amount of  space you can run for much longer than  that same amount of time um so how long  could you run  so what which you can  show is that if you're running uh within  a certain amount of space t event space  let's say  n squared space for example  the amount of time you could use is  going to be exponential in n squared a 2  to the order n squared  sometimes we also write that as  the union of  c to the um n squared by sort of pulling  down that constant here if you want well  it's also just to understand what we  mean by order t of n up in the exponent  it means that  the union over c to the t of n for all c  either of these are just completely  equivalent so whichever one you're more  comfortable with  but why is this going to be true why  does a turing machine that runs in say  um  uh  say n squared space  use  at most  uh  uh  two to the order n squared time  and that's because if you look at how  many possible configurations the machine  can have  remember that a configuration is is  essentially  the contents of the tape this is also  the head position and the state but the  dominant um  uh  the dominant aspect of a configuration  is the tape and so how many different  tape contents can you have  well it's going to be exponential in the  saw in the length of that tape  because you know each cell can have some  fixed number of symbols in it  if a machine  repeats a configuration it's going to go  forever which we're forbidding um in uh  you know in the in these machines  because they're all going to be deciders  so they can only run  um  uh for an amount of time which is  bounded by the number of configurations  that the machine can have  and so the machine can have  you know if it's running in t of n space  then the amount of  time that it could be running is going  to be at most some constant to the t of  n  or two to the order of t events saying  the same thing  uh uh you know unless it's going to  repeat a configuration and end up  looping  okay so these are the two fundamental  connections between time and space  time is contained within the same amount  of space space is contained within that  amount of time exponentiated  okay um so one car reliary of that is  that the class p is contained within p  space  similarly np is going to be contained  within an np space for the very same  reason  um  okay is this  um  understandable  you know this is this is a good place or  in a moment to have one more line to  to to to tell you about but leading into  the next slide so  if you understand the definitions  of what we've done so far  all of the the the this is a this is a  fairly straightforward theorem and the  and the corollary is immediate  okay so  um  anything that you can do in n squared  time you can do an n squared space and  so for if anything you can do in  polynomial time you can also do in  polynomial space  yes c somebody's asking me you know what  is the c c is essentially going to be  the size of the tape alphabet  um  because that's going to govern how many  different configurations you have  there's a slight extra uh factor it's  like you know slight extra factor for  the tape um  the the head location and also the  um state but uh the the main thing is  going to be the  number of tape symbols and the length of  the tape  okay but what's going to come next is  we're going to prove something more  powerful than  this corollary that p is contained in p  space because not only is p contained in  p space but np is also contained in p  space and for that we're going to have  to do more work  so somebody's asking me about the number  of states the number of states  is going to be indep is fixed depend  upon depending on the machine only  so um  they it doesn't depend upon the  uh depend up on n so it could in most  affect  the  number configurations by a constant  factor  and those constant factors are going to  be absorbed  within the definitions of these uh  complexity classes because that's how we  would define them to be um  uh  you know  ignoring the constant factors  but you know  why don't we just take a  you know this may be a good place to  pause for a second and see if there's  any questions  because you know  i think for some of you this may be um  straightforward but you know i i think  it's less common to be measuring  thinking about uh  the amount of memory as a complexity  measure um so this is perhaps a little  less familiar some of you have seen  measuring time and other classes but  remember  measuring the the amount of space that  the algorithm uses probably is a little  less familiar and maybe that's it's  worth spending a moment or two answering  questions about that  so i'm not sure i understand the  question that just came in but i'll i'll  read it out there is it possible that a  turing machine can loop forever  absolutely but a turing machine that  loops forever does not count as one that  runs within the space bound to run  within the space bound the machine must  halt on every input it has to be a  decider we're only considering deciders  here  so is it possible that turn machine can  look forever yes isn't the turing  machine we're talking about a member of  space and thus a decider  um  not totally sure i understand the  question but  if a  turing machine is  not  halting on all inputs it's not a decider  that's our definition  um  are we good and we're not getting very  many questions here so i'm assuming  you're all with me  or  so lost you don't even know what to ask  which is not good  um so be bold if you're confused throw  our question out there because i'm i i  don't want to race through this lecture  since it's it's maybe a little less  familiar to some of you  okay so let's move on  um  as promised i'm going to show you now  that np  not only p as is kind of happens  immediately but np  is contained as a subset of a p space  so that is oh  i didn't get a question i  moved on before i answered this question  can i explain part two of the proof  again part two okay let's just do it um  uh  if something runs in a certain amount of  space you have to just think about how  many different configurations the  machine can have within that amount of  space remember the configurations that  we defined way back at lbas  um  so the number of configurations the  machine can have depends on how much  space it's allocated  like the lbas they had a fixed number of  configurations and we gave a calculation  for that  um  which is basically an exponential in the  amount of space that's how many  configurations the machine can have  so  if the machine is not a is not looping  if it's a decider it can never repeat a  configuration and that's going to tell  us how long the machine can possibly run  for  you know it's a  it's it's it's important to understand  i'm not sure if i knew how to say that  in any way be that different from what i  said before but um  okay getting back now  to proving that np is a subset of p  space so now we're going to have to do  something that's sort of in a way uh  different from what we did on the  previous slide because now  it's not going to be enough to work with  the same machine before when we were  converting we're showing that a certain  amount of time time classes contained  within a spaceclass it was by virtue of  the very same machine by just showing  that if it's running within a certain  amount of time then it has to be running  within that same amount of sp within  that same amount of space um  or in terms of the space it was in the x  given a certain amount of space it has  to be running that same machine within a  certain amount of time  here we're going to mixing  non-determinism and determinism so we're  going to have to take a machine that's  in uh an np type machine a  non-deterministic polynomial time  machine  and convert it into a deterministic  machine that doesn't use a whole lot of  space  so there's  a difference in the  character of this theorem because we  have to introduce a new machine  um  and the way we're going to prove that um  i i'm going to take advantage of some of  the things we've already shown  to prove this one could also prove it a  little bit more directly and maybe it's  worth understanding making sure you  understand both proofs  so the first thing i'm going to observe  is that sat  our np complete language  um the satisfiability language  itself is a member of p space  and the reason for that is  um when you're given  a formula  and now you want to test if that formula  is satisfiable  one way to do it  the most obvious way to do it is try all  assignments  one by one  and see if any of them satisfy the  formula  now that's going to take a lot of time  but how much space does it use  i have in mind reusing the space every  time we try the next assignment  think of going through all of the  assignments the way an odometer would  work  just trying every possible assignment  but reusing the space where you're going  to write that assignment down  um  sort of incrementing it like like a  number um written in binary if you wish  um  going through all the possible  assignments every time you get in the  next assignment you plug it into the  formula and see if the formula is  satisfied if it is then you can accept  immediately if not you go on to the next  assignment and only when you've gone  through all the assignments in that way  and none of them have satisfied the  formula then you can reject so how much  space does that use  that doesn't use a whole lot of space  because you're reusing the space  um to write down one assignment after  the next okay it's only going to be  using an amount of space which is big  enough to hold an assignment which is  basically linear because it's the size  of the number of variables of the  formula so  that's going to be a linear amount of  space to solve the satisfiability  problem and so the satisfiability  problem is certainly in p space  um  step one  step two  is we're going to take advantage  of what we know about reducibility  um so if a is polynomial time reducible  to b  we've already commented we didn't say  this exactly in this way but you know  it's still going to follow that anything  you can do in a certain amount of time  you can also do in that amount of space  because there's a very same machine um  doesn't can't use any more space than  the amount of time it was allocated  so if a is polynomial time reducible to  b  it's also going to be reducible in  polynomial space the a polynomial space  machine could do the reduction  so that means if a  is polynomial time reducible to b and b  is in polynomial space then a is also in  polynomial space  but we know  because satisfiability is np-complete  that every language of np  is reducible to sat so put sat in place  of b every np language is polynomial  time reducible to sat  and we now know that sat is in p space  so therefore every language in np is in  p space because they're all polynomial  time reducible to set  okay so just by using some of the  technology we've developed  namely the notion of completeness sort  of shows us some of its power that if  you want to  conclude something about an entire class  an entire complexity class if you have a  complete problem for that complexity  class often it's enough just to work  with the complete problem and then  everything else by virtue of the  reducibility is going to  inherit the same property it doesn't  work in all cases but in many of the  cases as long as the um you know the  reducibility can be computed by the um  by the  the type of procedure you're working  with um then you can then it follows  uh you know you could also prove this  more directly i think it's in some ways  a little clumsy or a little bit um  less elegant but you can say well let me  just take my  um  uh take a language that's in np it has a  non-deterministic polynomial time  algorithm  and then give a deterministic polynomial  space algorithm simulates that  np algorithm just by going through all  the different branches but making sure  that going through all those different  branches you're reusing the space and  not using new space every time you're  going through a different branch and you  can arrange things if you're just a  little bit careful to do it that way so  you could give a direct simulation in  polynomial space of any  uh np turing machine so that i mean  that's also completely satisfactory but  i think this is a little more elegant  so now let's also this  furthermore is going to allow us to  conclude some additional  languages are in p space  let's define a class we have not yet  seen though maybe you've seen this i  think we've talked about this this  notion of uh  co  before um i think we talked about  co-touring reducib  co touring recognizable um so  uh  the class  those are the class of languages whose  complements are turning recognizable and  the same for co and p  this is the class of languages whose  complements are in np  so you take the complement of every  language that's in np and now you get  all the languages that are in this class  co np  complement of np  um  so for example the complement of the  hand handpath problem so all the graphs  which don't have  hamiltonian paths from uh you know  esthetic so the the the non-hamiltonian  uh graph uh the non-hamiltonian path  problem  that's a cohen p problem  um well here's a language we haven't  i'm not going to define  uh as in terms of its complement it's a  the tautology problem so these are the  problem language  these are all formulas or these are the  formulas where all assignments satisfy  the formula all assignments make the  formula true  um so a tautology is a statement that's  always true  so  no matter how you plug in the variables  so  the the tautology tautology language is  in co-np  um because it's complement which is the  non-tautologies those are the  formulas for which  um there's some assignment which makes  it false so that's going to be clearly  an np language  so tautology is a co and p language  okay  um  now one thing that we  get immediately from the theorem as a  corollary really should write this as a  corollary is that cohen p  is also a subset of p space  and the reason for that is and this is  something that  you know it's um  again  easy but make sure you understand it  is that  p space itself is closed under  complement  because it is  defined in terms of deterministic  machines and deterministic machines you  can always flip the answer  and get a machine  of the same type  which um  uh  uh will decide the complementary  language  so for deterministic machines  deterministic deciders i should say um  you can always flip the answer  um  now  so here we have anything that's in p  space  it has a deterministic polynomial time a  polynomial space uh machine and so its  complementary line which is also going  to be in p space so p space and cos base  p co p space are equal and so that's why  coen p  uh is going to be in p space it's going  to be a subset of p space  okay i hope that's  not getting mixed up by all of the  different uh  alphabet soup here but um  uh  here is maybe a picture maybe that'll be  helpful uh of how the world looks for  the time and spice uh complexity classes  um so far  uh so  we have p  is a subset of np it's also a subset of  co np  um  again for the same reason that p and co  p are equal we never never even really  talk about copy because it's the same as  p  um  uh but np and cohen p  that those are two classes where we  don't know whether they're equal or not  uh because an np machine  um  you know you can't necessarily  complement the  behavior of an np machine and end up  with an np machine  so a question how do we know that cohen  p is a complete class of problems i  didn't say that there's anything about  completeness and cohen p is just a  collection of languages i'm not saying  it's anything any particular feature  about it in fact it does have a complete  problem just like np has a complete  complete problem the complements  and i'm not going to prove this right  here but though it's pretty  straightforward  complements of all the np-complete  languages are going to be co-np-complete  languages  um  and um  so  uh  so i'm getting so okay so let's  i will answer some of the questions  about or about  possible alternate worlds this is how we  believe the world looks like  with each one of these regions being  separated from one another including  this little  corner of the world here np and  intersect co-np which is not um there  might be languages in here which are not  in p and we actually believe there are  such languages but again all of this is  conjectural um and even whether p and p  space are the same or different is an un  is an open question  we don't even know the answer to that  which is perhaps even more shocking that  we don't know how to solve pnn  you know proved p different from np that  we don't know how to prove p different  from p space which seems to be a much  bigger class  uh it would be incredible that anything  you can do with a polynomial amount of  space  uh you can also do with a polynomial  amount of time  um but  i don't know how to prove that they're  different and in fact so this is how the  world could look  um  everything could collapse down p could  equal p space  and then all of these classes would be  the same  um  and i should also mention i don't have  this as another diagram here but just to  answer  you know there's also another pos  there's other possibilities for example  um  p could equal np  without it being equal to p space  and then you'd have a different looking  venn diagram here where there'd be just  two classes p np and co np would all be  the same p space would be different  that's possible  at least we have no idea  uh had a head of m  a a lot of these things can collapse in  in various ways  um and you just have to make sure that  you you know there are some collapses  that obviously could not uh occur like p  if p equals np it's also going to equal  cohen p  um so you can't get some there are  obviously some crazy collapses which  could not  uh happen that p collapsing p and np  being the same but different from cohen  b that can't happen  but um  avoiding some obvious contradictory  situations everything else is possible  so somebody said so well here's a  question let me just answer a few of  these  did we use the completeness of co np to  show that cohen p is  a subset of co-p space no we didn't do  it that way  we showed that uh co-np  um  uh  well let's see didn't we is that fair um  well i i suppose you know np of subset  of p space immediately implies because  he's complementing both sides that cohen  p is a subset of copy space  so you don't have to deal with  the complete problems on the other side  that's too complicated to get into here  but you don't you don't need to talk  about  co-empty complete problems um though  again those are very simple to to get  from np complete problems  um  let's see what else is here  uh  are there np complete problems that are  in co-np  so the answer to that is no  not as far as well i mean there would be  if there was an np complete problem in  co-np then all of np would be in cohen p  and they would be equal  so we suspect the np complete problems  are not in co and p but don't know how  to prove that  so why is tautology  in cohen p so here is tautology sits in  this class here the reason is that its  complementary language is an np the  complement of tautology  are the languages where there is some  assignment  which makes the formula false  so with a with an np machine you can  just guess that assignment and check  that it makes the formula false  so the complement of tautology  is an np language and so tautology is a  co-np language  um  okay uh  so somebody's asking about p space and  np-space and how do those relate to one  another so that's looking ahead um to  what we're going to be doing next week  but i'll give you a preview  an old but at the time surprising  theorem was that  piece base and np space actually are  equal  so there this analogy with time breaks  down  so polynomial space and  non-deterministic polynomial space do  turn out to be equal  the most obvious way of proving of  trying to simulate an np an np space  machine would be give you an exponential  deterministic space algorithm uh so  we'll go through that but there is an  algorithm which  collapses  non-deterministic polynomial space down  to deterministic polynomial space which  again at the time was kind of surprising  uh  and so last question i'll take here is  there some equivalent concept to the  idea of a certificate for co-np  yes there is a notion of a certificate  but now it's going to be a certificate  that you're not in the language instead  of a certificate that you're in the  language  and then again works for the very same  reason that we had certificates for np  languages where you had certificate for  membership for cohenp you have a  certificate for non-membership i don't  know if there's no other certificate for  membership in co mp  um okay so let's move on  um  okay so now we're going to introduce  we're going to look at some important  examples these are examples that we're  going to um i'm going to give you two  examples first one called tqbf  and then we're going to have a second  example both of those  we're going to  one of them is going to be an example of  a problem in  p space the other one is going to be an  example of a problem in np space um and  it's these are going to be important  languages for us so they're not just  going to serve as examples for today but  you know um they're going to be  useful languages for us later on so just  keep that in mind as we're going through  going through it  so  to understand tqbf you have to  understand um  what are called quantified boolean  formulas  or qbfs  so those are boolean formulas just like  the ones we've been seeing we've been  talking about with boolean variables and  the ands ors and and negated variables  um but now you're going to add  quantifiers  exist quantifiers for all quantifiers  if you haven't seen quantifiers you you  need to go back and re you know review  those um  you know i think that we already kind of  introduced talked about them briefly  earlier in the in the term  but um  this is part of the basic math that you  need to know  maybe you'll  not comfortable with them you'll  pick it up somewhat during the course of  the today's and the next few lectures  but anyway  uh  so if you have a boolean formula formula  i'll give you some examples that has  exist and for all quantifiers one of the  requirement for it to be a qbf is that  all of the variables have to be  within the scope of one of the  quantifiers  so you  all of the variables of the formula have  to be quantified  by one of the quantifiers and the we're  going to assume the quantifiers are in  front are sort of leading quantifiers in  front of the rest of the uh  of the of the rest of the expression  so because all of the variables have  been quantified  then a quantified boolean formula is  going to be either true or false  following the meaning of the quantifiers  um and again some of this may become  clear as we do some examples uh  okay  so here are some examples coming  so here is one  here is a qbf  so all of the variables the which are  just x and y they both appear in front  of  uh next to some quantifier so that's  going to be that's a requirement uh if  we have a  qbf  and  so this says for all x there exists a y  this expression  holds  so  we need to kind of unpack that and  understand what it means it says for  every x  for every for every way of assigning  a boolean value to x so  uh x is going to be either true or false  there exists a way of assigning a  boolean value for y to make this true  determined to to make the rest of the  expression hold true  um and  we'll go through that but  let's let's uh contrast  that with the second example where i  invert the order of the quantifiers  because that's going to be important  for the meaning of the formula  so if i say for every x there is a y  which makes this the rest of it true  that says well no matter how i set x  there's going to be a way to set y to  make this true so that says well if i  set x to true  it's got to be some way to set y to make  to make the the the remaining expression  hold  um so if i said x to true what should i  set y to be  um  well  uh  if i said x to be true and maybe i said  y to be true  well then this this clause is uh  satisfied but this clause won't be  satisfied so setting y to be true is not  it won't work but for every x i'm  only need to show there exists some y so  if i pick x to be true i can say y to be  false  um  and now this one is this one holds and  this one holds and the formula holds but  i have to make sure that that's going to  be the case for both settings of x  because  i'm saying for all x so if i said x not  a false because i already showed that it  works for x equal to true if i set x to  false if i set now y to be true  this is going to hold  so this  expression is true  because it is the case that for every  way to set x there is a way to set y  so this part holds  let's look at let's compare that with  this case  is there some way to set y  such that no matter how i said x  this is going to hold  and that's not going to be true no  matter what you pick for y  um there is going to be some way to set  x to make this false  so does it resist a y such that every x  makes us true no  if you try x equal to true it's not  going to work if you try x equal to  false it's not going to work  so this  second fi2  expression quantified qbf is false  okay  we're going to be playing with these a  lot  so it's important to understand  how this  this quantification works  um  so tqbf  is the problem of testing  whether one of these qbfs is true  or  phrased as a language it's the  collection of true qb  true qbfs and that's where we get the um  uh the uh acronym tqbf not acronym the  the the abbreviation tqbf for the true  quantified boolean formulas  so  going back to that example p1 is a true  quantified boolean formula and v2 is not  a true quantified building formula so  that's why  p1 is in the language v2 is not in the  language  now our computational problem is to test  whether  quantified boolean formulas are true or  not  and now we can do in polynomial space  oh there's a check in first  i claim that sat is a special case of  tqbf  why is that  how can we  um  think of sat  as a special case if i give you a sat  formula  how can i see that as also a tqbf  problem if you want to test if that  formula is  true what would you say remove all the  quantifiers  or add some quantifiers and what kind of  quantifiers maybe um  uh how is sat  just testing a formula satisfiable  a special case of this  what i claim is a more general problem  of solving these  tqbf problems  okay  closing down  let's call  yes indeed you know satisfiability  so c is correct  when you're talking about a  satisfiability problem you're saying is  there a satisfying assignment another  way of writing that down is  take the boolean formula represent take  that boolean formula and put  exists in front of all the variables  saying the is there a is there exists  does there exist a way to set x1 and x2  and x3 and x4 to make the formula  true make your formula hold  so um sat is a special case by adding  exist quantifiers  of a tqbf problem  so c is correct  um  okay  so why is this problem in p space  as i claimed and for that we're going to  give a simple recursive algorithm  um  in any  uh a quantified boolean formula now if  you want to test if it's true or not you  know we're going to basically strip off  the leading  quantifiers  so if it's an exist quantifier we'll  remove it and plug in true and false  associated to its  variable  and then solve those problems  recursively  okay so this is just going to be a  recursive procedure for solving  tqbf problems  operating by stripping off the the  quantifiers in front  and uh getting smaller and smaller  formulas but now we're going to be  plugging in uh values true and false um  instead of relying on the quantifier uh  to um uh to to to uh  give us the meaning of the formula  okay  so first of all if there are no  quantifiers then there are no variables  because all variables have to be bound  within quantifiers and in that case the  uh that quantified boolean formula has  to simply be the statement true or the  statement false and so you're going to  output accordingly because that's all it  can be if you have no variables  um  if the formula starts with an exist  quantifier  what you're going to do  so here psi is the remainder of the  formula after you strip off that exist  quantifier  so you're going to evaluate psi now but  take that variable that was bound by the  exist and just plug in true  um  or and false respectively so you're  going to get two two now new problems  um  and  uh  run them  uh and evaluate them using the same  procedure recursively uh but now with x  plugged in for true plugged in for x and  also then with false plug in for x  and  get the answers for those two cases and  if either one of them ended up accepting  then you're going to accept because you  know there exists a value  uh for x which makes the whole thing  true because you you you just  recursively  showed that there was such a value you  know either true or false the thing is  has accepted and if both of them fail  then you're going to reject and the very  same idea if you have a for all  quantifier  you're going to evaluate  the remainder of the formula  again with x equal to true and false so  as two subproblems  but now you're going to require them  both to accept because that's the  meaning of for all that both assignments  to x have to make the formula true so  you're going to  evaluate them recursively and accept  both of them are true as determined by  your recursive your recursion  okay so how much space does this use  um i'm not going to go through this in  great detail but uh  each recursive level uses just a  constant amount of space so every time  you do a recursion you have to remember  that uh  that value uh that assignment to that to  that variable  you want to think of recursion as being  implemented on a stack so you're just  going to pop push on the stack that  value of that variable  which is that true or false so basically  it's one bit of memory uh  that you're going to require every time  you're going down the recursion you just  have to remember what um  you know  which case you're working on whether  x equal to true or x equal to false  uh and  um so each recursive level just involves  constant space  and the depth of the recursion you know  how far how much might you have to  remember well it's going to be at most  one for every quantifier um  because that's you know you're stripping  them off as you're going down the  recursion so that's going to be at most  the length of the formula that says most  of the number of quantifiers you can  have  and so  uh the total amount of space used by  this is going to be um just n order n  okay so this  problem is solved in uh  in n space  and so that's why it's in p space  okay i think that's  all i wanted to say about this  okay if we've got the tape and a turning  machine as memory  in a modern computer what does the  finite control correspond to the finite  control corresponds to just a finite  additional memory um the tape is an  unlimited amount of memory uh or if  we're putting bounds you know the amount  of tape is going to be  say n squared memory where n is the  length of n n is the length of the input  so um  yeah they're both memories but um  the finite control is  it doesn't grow with n so that's going  to be just a you know some constant  amount of memory  what would be the time complexity of  this album time complexity would be bad  it's going to be exponential so you'd  have to just double check that but it's  going to be something like 2  to the  number of variables that you have two to  the number of quantifiers  plus some small overhead for evaluating  the formula multiple time but it's going  to be exponential  um  that's going to answer for you  so someone is asking going back again to  co-np and how do we know there exists a  problem in cohen p that is co and p  complete we didn't define even what that  means  but uh co-np-complete  means  we're going to start seeing other  examples of completeness for different  complexity classes in particular one of  one thing that's going to happen on  tuesdays we'll see  a problem that's complete for p space  in fact it's going to be tq tqbf  sort of looking ahead is going to  be a piece based complete problem  but  we even have to have the notion of what  we mean by uh complete for these other  classes  and in the case of co np a problem is co  and p complete if it's in in co np and  every other co np problem is polynomial  time reducible to it so just exactly the  same as we have for np just plugging in  co np instead  and  you just have to work through the logic  but it's pretty straightforward  the complement of any np complete  problem is going to be a co-np-complete  problem using that definition um  uh so  just i i don't want to go through  through that those simple steps but  you just can go and verify that offline  that that's  going to be true and i think we're going  to probably talk about that later in the  semester too  um  so another question how does the tqbf  algorithm  ah that is a good question here um  why is the tqbf algorithm that i just  described in p space doesn't the thing  every time i'm doing the recursion  doesn't things branch out so that i end  up using exponential space  critical thing which  i don't i actually don't think i  mentioned which i think is important to  observe is that when you're doing those  two recursive calls when you set x equal  to true and set x equal to false  after you've determined that the the  answer for when you set x equal to true  now you reuse that space  that very same space  to test what happens when you have x  equal to false  so that's that's the power of space  which makes it different from time is  that it can be reused  so after you've got the answer for when  you have x equal to true now you free up  that space that's no longer needed  anymore you just remember the answer and  now you see what happens when you have x  equal to false using that same space so  there's no exponential blow-up that's  that's an important point i'm glad you  gave me the chance to to say it  so somebody's asking about  defining time of an undetermined turing  machine to the maximum  time  of each branch well that's sort of what  we have done maybe i don't understand  your question but you'll have to ask it  after after um afterwards because i want  to i don't want to be delaying any more  than we  that we have  so  we're going to we're going to go back  and  um move on here  okay  second  example  um and this one is a kind of a fun  example but it's also going to be an  important one for us um it's called the  latter problem  now so you may have seen something  called the word ladder  but in general a ladder is a sequence of  strings  which are all of the same length  but where consecutive strings differ in  a single  symbol um  so  so for example if you have a word letter  for english it's going to be a ladder  where all the words are english all of  the um strings are english words so  here's an example  i thought i fixed that okay here is here  is a  a  word ladder for english and maybe you've  seen these suppose i want to try to get  from work to play  but all of the intermediate  uh  strings should be  english words  with four letters  that differ from their previous one in  only a single letter  and i want to somehow change the word  work  to the word play so i don't know if  you know so for example i can change  work to pork  so here's just one letter difference  um which looks like it's an improvement  because now i have the i'm agree an  agreement on the play  um but sometimes you know you might  change it you might have a good change  and then you have to undo it later which  i think actually happens here um  so pork then this port but then we gave  up that progress we made port  to sort  to suit  to slot you understand again you  understand what i'm doing here each case  i'm just changing a single letter  but all of these words all of these have  to be legitimate english words of length  four  plot  ploy  and then play  okay  so that's what a word lighter in english  would be of course you can do it in  different languages and i'm going to  talk about it abstractly where  instead of having any natural human  language as being the uh test for a word  b for being a string being legitimate  i'm going to define a  um  any old language  uh let's let's say it's a is going to be  some language some set of strings and  the and the  those are going to be the legal strings  that can be in the ladder  so a ladder in a is a lot of strings  that are all members of a  um  and now the  the  latter dfa problem is  a is going to be the language of some  dfa  so i'm giving you b  um  and so i want and then a start string  and an n string so this is like work and  play u and v are like work and play so  where b is a dfa  and its language has a ladder that goes  from u to v  here are the intermediate strings  okay  and  all right um  so  um  i'm going to show you that this latter  dfa problem is in np space  okay and it's not this is not super hard  because basically  uh well  let's just actually  look at the slide here  the way it's going to work is it's not  deterministically going to guess that  sequence from u to v  so if i if i'm trying to get from work  to play imagine those i'm going to be  using this as um  you know  in place of the  uh the  of the language of my fine art automaton  just because this is easier to talk  about but imagine these are being  strings that are that are accepted by  that that dfa  um so now i'm trying to get from my  string u to the string v and i want to  test can i get there  by some  uh changing one letter at a time but  staying as strings that are accepted by  the dfa  um  i'm just going to guess that sequence  non-deterministically  but i have to make sure careful of two  things um  i don't want to guess the sequence solid  in advance because that sequence might  be exponentially long  you have to calculate how long it could  possibly be but you might  might you know you might change to one  symbol then change it to a different  symbol then change it back to that  original symbol or  so  the the only bound that you can write  down is the number of possible strings  that you can have of that length  um so it might be exponential uh you  don't want to write down that whole  thing because that's going to be  exceeding your space bound  but what you don't need to you're just  going to guess them one at a time  forgetting about the previous ones just  keep guessing the next uh one in the  sequence and only remembering that one  and seeing if uh  you're ever get to the the string your  you your target string  but then when you do that you have to  make sure that you don't end up going  forever  um because that's not allowed  in your uh in your um  in your np space algorithm  uh  so  you're going to have to keep a counter  to make sure that if you go beyond that  bound which is going to be the maximum  number of strings you could possibly  have then you're going to just shot that  branch of the non-determinism off  you're going to just reject on that  branch  okay so here is i'm going to write to  say this here  here is my non-deterministic uh  you know polynomial space procedure  um i'm given my language my dfab and my  start and end strings  i let y equal the start string  write down the length of my strings that  i'm going to have to keep  in mind all the way through  and then i'm going to just repeat the  following t times where t is the maximum  length as can be which is the the size  of the alphabet of these of these things  to the nth power where m is the length  of those strings  uh and i'm just going to not  deterministically change one symbol  at a time  making sure that i'm staying in the  language  so rejecting immediately if that change  introduced a  string outside the language  and accepting if that string that i get  by changing that single symbol  is now my target  um  and if i've gone through my bound and i  haven't managed to reach  that target then i'm just going to  reject  and we just have to observe that this  algorithm  doesn't use too much space  so if you imagine what we need here  here's my input unv  which is of length n  and the total amount of space i just  have to remember the current y  um  and um  and also my counter t my counter up to t  so um each of those can be written down  with it with uh essentially in space so  the total amount is going to be order n  space  um  so that shows that uh this latter dfa  problem is actually in non-deterministic  space n  not deterministic linear space  um  and what we're going to show next  um  is that this language is actually  solvable in deterministic space and this  is kind of perhaps a bit of a surprise  okay um  so what's the size of the input the size  of the input is  uh going to be what it takes to write  down the uh the dfa and the uh the two  strings u and v um  so uh  um here  uh  yeah i mean i i should have also  included as part of the input  the the description of b itself  but um  uh so  but that's going to even work in my  favor because um  so this this is slightly incorrect  because b itself has to appear as part  of the input so apologies for that but  still the amount of uh space used is  going to be order n  um because these are going to be  actually less than n  um  so let me  jump be so we don't run out of time for  the lecture we can save additional  questions for  afterward i'll stick around for a few  minutes i just really have one more  slide here um and that is proving this  theorem that ladder can be done in  deterministically in polynomial space  and that's going to be  important as a kind of a  preview of what we're going to be doing  on tuesday  and you know  if this goes a little fast i'll go over  it again on tuesday so let's just see  how it goes so i'm going to show the  same ladder dfa problem  is solvable deterministically  in  polynomial space and but this time it's  going to be in squared space instead of  non-deterministically in end space so  there's going to be some cost but it's  only going to be a squaring  so remember what the problem is  you know i'm giving you that dfa  and giving you two strings in the  language of that dfa and i want to know  can i get  from one  the first string to the second string by  changing one symbol at a time but always  making sure that the strings are  along the way are accepted by that dfa  okay  so i'm going to introduce notation  saying  can i get from string u to v by a ladder  but now i'm limiting how many steps i  can take so i'm writing u to v but doing  it only within b  b intermediate strings b steps  so is there a ladder from u to v of  length at most b  that's what it means to write this  notation down  so i'm going to  uh give you a recursive procedure to  solve  the bounded ladder problem where it's  just like the before but now i'm going  to  say not only does there a ladder from u  to v but there's a ladder of length at  most b  okay so that's going to allow me to  solve the latter problem recursively by  shrinking the size of b  um  uh  okay  so um  let's how is this going to work  uh  um  well here's going to be the idea  so here is my u and my v  um  and the procedure is going to work by  instead of  non-deterministically guessing  the steps that take me from work to play  because i don't have non-determinism  anymore i have to operate  deterministically  what i'm going to do is  work instead of  um  i'm going to instead of going from  looking at the very first  thing that follows from from you i'm  going to jump right to the middle  and try every possible middle string  oh i have no clue even what that middle  string should look like so i'm going to  try all possibilities in the sequence  but then i'm going to use once i have  one of those possibilities i'm going to  recursively try to solve the problem by  splitting that now but i'm now going to  divide that b value in half  okay so here is the maximum value we can  have this is the t from the previous  slide which is the maximum length um  and i uh  here i'm going to try every possible  intermediate let's start off with a  all a's  um  and now i cut the problem in half can i  get from work to all a's and all a's to  play well very first thing i should  check is making sure that all a's  in fact is a string uh in the language  and if we're thinking of the languages  sort of you know matching it's like  english all a's is not  a legitimate word so you try the next  one  aab and this is how it's going to work  but now you're going to be instead of  using english you're going to feed it  into the finite automaton just one after  the next trying every possibility until  you know like a clock  like a like an odometer  trying them all  until eventually you find a string  that's in the language  sort of i'm representing that by an  english word able maybe that's the first  word that you would have found and then  once you find that you're gonna  can i get from work to able and able to  play recursively reusing the space again  but now where the bound is cut in half  okay so that's that's the whole album  so  um  just going through it quickly and we'll  do this again um  uh  here is my  dfa going from u to v within b steps  first of all  oh this is bad uh t should not be one b  this should be b if b is one um  can i quickly fix that  uh so these t's should be b's my  apologies  um  so if t is one if b is one  then they have to d then i'm only  allowed a a ladder of length one now i  just check at the media directly do you  and v different in just  in one place  if yes then accept else i reject  uh if it's greater than one now i'm  going to do this procedure that i  described i'm going to try for each  possible w  uh  in the middle  um  i'm gonna  try that w test whether i can get from u  to w in half the number of steps and  from w to v in half the number of steps  and except if they both accept um  and if trying all possible w's  none of them work then i know that  there's no way to get from u to v and b  steps and so then i reject  okay and then to do  the original problem which was not the  bounded ladder problem i just do the  bounded line i do the bounded ladder  problem  where i put in t which is the maximum  possible length that it could be to get  from work to play out to get from u to v  okay so the space analysis  um  well i'm kind of out of time here so  we're going to go through this again  next time  we have a very quick  so let me skip that uh analysis i'll  review this next time i have a very  quick check-in i just want to get to you  get get here  um  find an english word  letter that connects the word must to  the word vote  you can think about that i mean i it's  not that hard to come up with such a  word ladder uh so i encourage you  to think about that also to think about  voting which is also important  that's coming up  um  okay another five seconds here  um  okay i'm gonna end this so make sure you  get your credit for the check-in  okay so uh we're at the end of the hour  um  into the end of the night  end of the 80 minutes anyway uh so this  is what we did today  um  and  looks like i ran over by a minute so my  apologies  and but i'll stick around here um if any  of you have any further questions so but  otherwise  uh lecture is over  uh see you guys  do we know anything about ladder for  other kinds of languages  i i don't know  um uh interesting question whether you  can say uh some nice things about the  latter  um  the latter um problem in other in other  cases i don't know  okay why is t here this value of t  sigma to the m the maximum length  of a um of a word letter so what did  what first of all we have to m maybe i  should have written this down m is the  the the length  of the words  uh sigma is the alphabet  of the words  um  so the number of possible different  words is sigma to the m  these are all possible words that there  could possibly be  so uh  there's no  reason in a word like  or ever to repeat the word because you  can just find a shorter word ladder that  still does the job of connecting to  connecting  a start in the end  so you can just cut out that middle  part um the repeated part  so  in that case  the longest possible  word letter is going to be the total  number of possible words that you can  have which is going to be sigma the size  of sigma to the m  explain again why cohen p is a subset of  p space  um  well  maybe i'll say it this way  take the  why is  why is every co np language also in pd  space  well take the complement of your co-mp  language that's an np language  an np language is in p space because we  proved that that's what we proved um  uh  but if a language is in p space its  complement is also in p space because  for a deterministic procedure you can  just flip the answer of the machine  um so now you get  you know if so if b language b is in  cohen p its complement b b complement is  an np which is in p space but now so b  complement is in p space so now  p space you can invert the answer and  now b is also in p space i hope that  helps um  somebody's giving me the answer to get  from uh  uh must to vote but you know i i i've  seen an answer and that's you know there  are online tools  that will answer word letters um  so you just  plug in the two you know  where the start and the finish and it'll  give you the word ladder and then the  one that this person is  sent me is the one you get from that  that tool so i suspect it didn't find it  himself i i actually uh before lecture i  actually saw that on my own besides the  one that i know the one that the one  that the tool will give you so that tool  gives one in uh i think five steps and i  found one on my own of six steps it's  not that hard but yeah must  most  lost lose  rose wrote and vote  i think maybe that's seven steps  um  anyway you see you can solve the for  short words you can solve these  generally pretty quickly on your own  um  what else what else can i do for you  um  do we need to worry about coming back to  a previously visited word visited word  on the construction on this page  no we don't have to worry about coming  back to a previously visited word all  you need to worry about is making sure  that you bound how long you're going to  go for  and that's where the previously visited  issue  comes in  you know if the  um  [Music]  if the word letter that you found  repeats some word  well then there would would have been a  shorter word ladder that would have also  worked but uh  you know it still shows that it's  possible to get from the  uh  the start word to the finish word um  if you if you're if you have a repeated  one in between so that that doesn't  matter  we don't have to worry about that  if you did then it would be a problem  so i think i will it's four or five i  think i want to head out uh  see you all guys and i'm going to join  my tas in the meeting shortly so bye-bye  thank you for being here  you

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310
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320
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321
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322
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323
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324
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325
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326
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327
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328
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332
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333
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335
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338
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339
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340
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342
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343
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344
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345
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347
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348
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349
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350
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352
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355
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356
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357
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358
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359
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361
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362
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363
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369
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370
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371
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373
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375
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376
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377
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378
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379
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380
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381
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382
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383
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384
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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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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
00:13:27,509 --> 00:13:31,670

 

403
00:13:31,670 --> 00:13:33,509

 

404
00:13:33,509 --> 00:13:36,389

 

405
00:13:36,389 --> 00:13:36,399

 

406
00:13:36,399 --> 00:13:37,269


407
00:13:37,269 --> 00:13:39,269

 

408
00:13:39,269 --> 00:13:41,509

 

409
00:13:41,509 --> 00:13:41,519

 

410
00:13:41,519 --> 00:13:42,629


411
00:13:42,629 --> 00:13:45,269

 

412
00:13:45,269 --> 00:13:47,110

 

413
00:13:47,110 --> 00:13:47,120

 

414
00:13:47,120 --> 00:13:49,269


415
00:13:49,269 --> 00:13:50,949

 

416
00:13:50,949 --> 00:13:52,870

 

417
00:13:52,870 --> 00:13:52,880

 

418
00:13:52,880 --> 00:13:53,829


419
00:13:53,829 --> 00:13:56,150

 

420
00:13:56,150 --> 00:13:58,230

 

421
00:13:58,230 --> 00:14:00,310

 

422
00:14:00,310 --> 00:14:02,949

 

423
00:14:02,949 --> 00:14:03,990

 

424
00:14:03,990 --> 00:14:06,790

 

425
00:14:06,790 --> 00:14:06,800

 

426
00:14:06,800 --> 00:14:07,590


427
00:14:07,590 --> 00:14:07,600

 

428
00:14:07,600 --> 00:14:08,629


429
00:14:08,629 --> 00:14:11,509

 

430
00:14:11,509 --> 00:14:13,990

 

431
00:14:13,990 --> 00:14:16,310

 

432
00:14:16,310 --> 00:14:19,269

 

433
00:14:19,269 --> 00:14:22,230

 

434
00:14:22,230 --> 00:14:23,829

 

435
00:14:23,829 --> 00:14:27,670

 

436
00:14:27,670 --> 00:14:29,750

 

437
00:14:29,750 --> 00:14:30,710

 

438
00:14:30,710 --> 00:14:33,509

 

439
00:14:33,509 --> 00:14:35,829

 

440
00:14:35,829 --> 00:14:39,030

 

441
00:14:39,030 --> 00:14:43,030

 

442
00:14:43,030 --> 00:14:45,750

 

443
00:14:45,750 --> 00:14:47,269

 

444
00:14:47,269 --> 00:14:50,069

 

445
00:14:50,069 --> 00:14:53,110

 

446
00:14:53,110 --> 00:14:55,350

 

447
00:14:55,350 --> 00:14:57,990

 

448
00:14:57,990 --> 00:14:59,189

 

449
00:14:59,189 --> 00:15:02,389

 

450
00:15:02,389 --> 00:15:03,750

 

451
00:15:03,750 --> 00:15:05,430

 

452
00:15:05,430 --> 00:15:06,629

 

453
00:15:06,629 --> 00:15:08,870

 

454
00:15:08,870 --> 00:15:11,829

 

455
00:15:11,829 --> 00:15:11,839

 

456
00:15:11,839 --> 00:15:12,949


457
00:15:12,949 --> 00:15:12,959

 

458
00:15:12,959 --> 00:15:15,430


459
00:15:15,430 --> 00:15:17,509

 

460
00:15:17,509 --> 00:15:17,519

 

461
00:15:17,519 --> 00:15:18,470


462
00:15:18,470 --> 00:15:19,990

 

463
00:15:19,990 --> 00:15:20,000

 

464
00:15:20,000 --> 00:15:21,189


465
00:15:21,189 --> 00:15:21,199

 

466
00:15:21,199 --> 00:15:22,870


467
00:15:22,870 --> 00:15:26,550

 

468
00:15:26,550 --> 00:15:28,629

 

469
00:15:28,629 --> 00:15:31,590

 

470
00:15:31,590 --> 00:15:32,949

 

471
00:15:32,949 --> 00:15:35,269

 

472
00:15:35,269 --> 00:15:35,279

 

473
00:15:35,279 --> 00:15:37,189


474
00:15:37,189 --> 00:15:39,189

 

475
00:15:39,189 --> 00:15:41,509

 

476
00:15:41,509 --> 00:15:43,030

 

477
00:15:43,030 --> 00:15:43,040

 

478
00:15:43,040 --> 00:15:44,150


479
00:15:44,150 --> 00:15:46,550

 

480
00:15:46,550 --> 00:15:48,389

 

481
00:15:48,389 --> 00:15:51,670

 

482
00:15:51,670 --> 00:15:54,069

 

483
00:15:54,069 --> 00:15:56,470

 

484
00:15:56,470 --> 00:15:58,710

 

485
00:15:58,710 --> 00:16:02,069

 

486
00:16:02,069 --> 00:16:03,670

 

487
00:16:03,670 --> 00:16:05,829

 

488
00:16:05,829 --> 00:16:09,990

 

489
00:16:09,990 --> 00:16:11,749

 

490
00:16:11,749 --> 00:16:13,749

 

491
00:16:13,749 --> 00:16:15,910

 

492
00:16:15,910 --> 00:16:15,920

 

493
00:16:15,920 --> 00:16:17,030


494
00:16:17,030 --> 00:16:19,590

 

495
00:16:19,590 --> 00:16:21,509

 

496
00:16:21,509 --> 00:16:23,030

 

497
00:16:23,030 --> 00:16:27,430

 

498
00:16:27,430 --> 00:16:30,870

 

499
00:16:30,870 --> 00:16:32,949

 

500
00:16:32,949 --> 00:16:34,550

 

501
00:16:34,550 --> 00:16:36,550

 

502
00:16:36,550 --> 00:16:36,560

 

503
00:16:36,560 --> 00:16:37,670


504
00:16:37,670 --> 00:16:39,269

 

505
00:16:39,269 --> 00:16:40,870

 

506
00:16:40,870 --> 00:16:42,870

 

507
00:16:42,870 --> 00:16:44,389

 

508
00:16:44,389 --> 00:16:44,399

 

509
00:16:44,399 --> 00:16:47,350


510
00:16:47,350 --> 00:16:50,069

 

511
00:16:50,069 --> 00:16:52,629

 

512
00:16:52,629 --> 00:16:54,629

 

513
00:16:54,629 --> 00:16:57,430

 

514
00:16:57,430 --> 00:17:02,870

 

515
00:17:02,870 --> 00:17:06,789

 

516
00:17:06,789 --> 00:17:09,110

 

517
00:17:09,110 --> 00:17:09,120

 

518
00:17:09,120 --> 00:17:12,789


519
00:17:12,789 --> 00:17:14,630

 

520
00:17:14,630 --> 00:17:16,710

 

521
00:17:16,710 --> 00:17:16,720

 

522
00:17:16,720 --> 00:17:20,230


523
00:17:20,230 --> 00:17:20,240

 

524
00:17:20,240 --> 00:17:22,549


525
00:17:22,549 --> 00:17:23,829

 

526
00:17:23,829 --> 00:17:23,839

 

527
00:17:23,839 --> 00:17:25,990


528
00:17:25,990 --> 00:17:26,000

 

529
00:17:26,000 --> 00:17:27,829


530
00:17:27,829 --> 00:17:29,830

 

531
00:17:29,830 --> 00:17:32,710

 

532
00:17:32,710 --> 00:17:35,350

 

533
00:17:35,350 --> 00:17:38,549

 

534
00:17:38,549 --> 00:17:40,710

 

535
00:17:40,710 --> 00:17:43,590

 

536
00:17:43,590 --> 00:17:46,310

 

537
00:17:46,310 --> 00:17:48,470

 

538
00:17:48,470 --> 00:17:51,110

 

539
00:17:51,110 --> 00:17:52,549

 

540
00:17:52,549 --> 00:17:52,559

 

541
00:17:52,559 --> 00:17:53,669


542
00:17:53,669 --> 00:17:55,110

 

543
00:17:55,110 --> 00:17:56,950

 

544
00:17:56,950 --> 00:17:58,470

 

545
00:17:58,470 --> 00:17:59,830

 

546
00:17:59,830 --> 00:18:01,990

 

547
00:18:01,990 --> 00:18:04,310

 

548
00:18:04,310 --> 00:18:05,990

 

549
00:18:05,990 --> 00:18:09,830

 

550
00:18:09,830 --> 00:18:09,840

 

551
00:18:09,840 --> 00:18:10,710


552
00:18:10,710 --> 00:18:12,230

 

553
00:18:12,230 --> 00:18:13,510

 

554
00:18:13,510 --> 00:18:15,909

 

555
00:18:15,909 --> 00:18:17,750

 

556
00:18:17,750 --> 00:18:19,750

 

557
00:18:19,750 --> 00:18:22,630

 

558
00:18:22,630 --> 00:18:25,190

 

559
00:18:25,190 --> 00:18:27,190

 

560
00:18:27,190 --> 00:18:29,110

 

561
00:18:29,110 --> 00:18:31,909

 

562
00:18:31,909 --> 00:18:34,150

 

563
00:18:34,150 --> 00:18:35,909

 

564
00:18:35,909 --> 00:18:37,990

 

565
00:18:37,990 --> 00:18:40,230

 

566
00:18:40,230 --> 00:18:42,230

 

567
00:18:42,230 --> 00:18:44,870

 

568
00:18:44,870 --> 00:18:46,230

 

569
00:18:46,230 --> 00:18:54,470

 

570
00:18:54,470 --> 00:18:55,990

 

571
00:18:55,990 --> 00:18:58,950

 

572
00:18:58,950 --> 00:19:01,510

 

573
00:19:01,510 --> 00:19:04,789

 

574
00:19:04,789 --> 00:19:06,070

 

575
00:19:06,070 --> 00:19:08,470

 

576
00:19:08,470 --> 00:19:12,470

 

577
00:19:12,470 --> 00:19:12,480

 

578
00:19:12,480 --> 00:19:14,870


579
00:19:14,870 --> 00:19:14,880

 

580
00:19:14,880 --> 00:19:15,909


581
00:19:15,909 --> 00:19:17,909

 

582
00:19:17,909 --> 00:19:17,919

 

583
00:19:17,919 --> 00:19:18,950


584
00:19:18,950 --> 00:19:20,470

 

585
00:19:20,470 --> 00:19:22,870

 

586
00:19:22,870 --> 00:19:25,029

 

587
00:19:25,029 --> 00:19:27,190

 

588
00:19:27,190 --> 00:19:29,990

 

589
00:19:29,990 --> 00:19:30,000

 

590
00:19:30,000 --> 00:19:31,350


591
00:19:31,350 --> 00:19:33,590

 

592
00:19:33,590 --> 00:19:39,990

 

593
00:19:39,990 --> 00:19:41,029

 

594
00:19:41,029 --> 00:19:43,029

 

595
00:19:43,029 --> 00:19:44,630

 

596
00:19:44,630 --> 00:19:47,029

 

597
00:19:47,029 --> 00:19:51,029

 

598
00:19:51,029 --> 00:19:52,789

 

599
00:19:52,789 --> 00:19:55,190

 

600
00:19:55,190 --> 00:19:57,669

 

601
00:19:57,669 --> 00:19:59,510

 

602
00:19:59,510 --> 00:20:01,590

 

603
00:20:01,590 --> 00:20:03,270

 

604
00:20:03,270 --> 00:20:05,669

 

605
00:20:05,669 --> 00:20:08,230

 

606
00:20:08,230 --> 00:20:10,710

 

607
00:20:10,710 --> 00:20:10,720

 

608
00:20:10,720 --> 00:20:11,590


609
00:20:11,590 --> 00:20:13,270

 

610
00:20:13,270 --> 00:20:15,350

 

611
00:20:15,350 --> 00:20:17,350

 

612
00:20:17,350 --> 00:20:19,430

 

613
00:20:19,430 --> 00:20:28,390

 

614
00:20:28,390 --> 00:20:29,669

 

615
00:20:29,669 --> 00:20:31,590

 

616
00:20:31,590 --> 00:20:33,590

 

617
00:20:33,590 --> 00:20:35,190

 

618
00:20:35,190 --> 00:20:37,270

 

619
00:20:37,270 --> 00:20:40,070

 

620
00:20:40,070 --> 00:20:42,149

 

621
00:20:42,149 --> 00:20:44,470

 

622
00:20:44,470 --> 00:20:45,990

 

623
00:20:45,990 --> 00:20:47,750

 

624
00:20:47,750 --> 00:20:47,760

 

625
00:20:47,760 --> 00:20:49,029


626
00:20:49,029 --> 00:20:50,710

 

627
00:20:50,710 --> 00:20:52,470

 

628
00:20:52,470 --> 00:20:54,390

 

629
00:20:54,390 --> 00:20:58,310

 

630
00:20:58,310 --> 00:20:58,320

 

631
00:20:58,320 --> 00:20:59,750


632
00:20:59,750 --> 00:21:01,190

 

633
00:21:01,190 --> 00:21:04,149

 

634
00:21:04,149 --> 00:21:05,270

 

635
00:21:05,270 --> 00:21:08,789

 

636
00:21:08,789 --> 00:21:08,799

 

637
00:21:08,799 --> 00:21:09,909


638
00:21:09,909 --> 00:21:12,710

 

639
00:21:12,710 --> 00:21:15,270

 

640
00:21:15,270 --> 00:21:15,280

 

641
00:21:15,280 --> 00:21:18,390


642
00:21:18,390 --> 00:21:19,590

 

643
00:21:19,590 --> 00:21:20,950

 

644
00:21:20,950 --> 00:21:22,310

 

645
00:21:22,310 --> 00:21:22,320

 

646
00:21:22,320 --> 00:21:23,430


647
00:21:23,430 --> 00:21:25,909

 

648
00:21:25,909 --> 00:21:27,350

 

649
00:21:27,350 --> 00:21:30,870

 

650
00:21:30,870 --> 00:21:33,110

 

651
00:21:33,110 --> 00:21:34,950

 

652
00:21:34,950 --> 00:21:36,789

 

653
00:21:36,789 --> 00:21:38,390

 

654
00:21:38,390 --> 00:21:40,149

 

655
00:21:40,149 --> 00:21:40,159

 

656
00:21:40,159 --> 00:21:41,270


657
00:21:41,270 --> 00:21:43,669

 

658
00:21:43,669 --> 00:21:45,029

 

659
00:21:45,029 --> 00:21:47,190

 

660
00:21:47,190 --> 00:21:49,110

 

661
00:21:49,110 --> 00:21:54,549

 

662
00:21:54,549 --> 00:21:56,470

 

663
00:21:56,470 --> 00:21:59,029

 

664
00:21:59,029 --> 00:22:00,870

 

665
00:22:00,870 --> 00:22:02,630

 

666
00:22:02,630 --> 00:22:06,950

 

667
00:22:06,950 --> 00:22:06,960

 

668
00:22:06,960 --> 00:22:08,310


669
00:22:08,310 --> 00:22:10,070

 

670
00:22:10,070 --> 00:22:12,070

 

671
00:22:12,070 --> 00:22:13,590

 

672
00:22:13,590 --> 00:22:15,590

 

673
00:22:15,590 --> 00:22:17,029

 

674
00:22:17,029 --> 00:22:20,070

 

675
00:22:20,070 --> 00:22:20,080

 

676
00:22:20,080 --> 00:22:20,950


677
00:22:20,950 --> 00:22:22,470

 

678
00:22:22,470 --> 00:22:24,470

 

679
00:22:24,470 --> 00:22:26,870

 

680
00:22:26,870 --> 00:22:29,510

 

681
00:22:29,510 --> 00:22:31,430

 

682
00:22:31,430 --> 00:22:32,470

 

683
00:22:32,470 --> 00:22:32,480

 

684
00:22:32,480 --> 00:22:33,510


685
00:22:33,510 --> 00:22:35,669

 

686
00:22:35,669 --> 00:22:37,350

 

687
00:22:37,350 --> 00:22:39,750

 

688
00:22:39,750 --> 00:22:39,760

 

689
00:22:39,760 --> 00:22:41,350


690
00:22:41,350 --> 00:22:43,669

 

691
00:22:43,669 --> 00:22:45,669

 

692
00:22:45,669 --> 00:22:47,990

 

693
00:22:47,990 --> 00:22:49,909

 

694
00:22:49,909 --> 00:22:49,919

 

695
00:22:49,919 --> 00:22:52,390


696
00:22:52,390 --> 00:22:53,750

 

697
00:22:53,750 --> 00:22:55,669

 

698
00:22:55,669 --> 00:22:57,669

 

699
00:22:57,669 --> 00:22:59,990

 

700
00:22:59,990 --> 00:23:02,470

 

701
00:23:02,470 --> 00:23:04,390

 

702
00:23:04,390 --> 00:23:06,630

 

703
00:23:06,630 --> 00:23:08,870

 

704
00:23:08,870 --> 00:23:11,510

 

705
00:23:11,510 --> 00:23:12,789

 

706
00:23:12,789 --> 00:23:15,830

 

707
00:23:15,830 --> 00:23:18,070

 

708
00:23:18,070 --> 00:23:20,230

 

709
00:23:20,230 --> 00:23:22,390

 

710
00:23:22,390 --> 00:23:24,549

 

711
00:23:24,549 --> 00:23:26,390

 

712
00:23:26,390 --> 00:23:28,950

 

713
00:23:28,950 --> 00:23:30,789

 

714
00:23:30,789 --> 00:23:32,549

 

715
00:23:32,549 --> 00:23:34,149

 

716
00:23:34,149 --> 00:23:37,029

 

717
00:23:37,029 --> 00:23:39,190

 

718
00:23:39,190 --> 00:23:40,549

 

719
00:23:40,549 --> 00:23:42,149

 

720
00:23:42,149 --> 00:23:45,190

 

721
00:23:45,190 --> 00:23:46,630

 

722
00:23:46,630 --> 00:23:48,549

 

723
00:23:48,549 --> 00:23:50,149

 

724
00:23:50,149 --> 00:23:52,750

 

725
00:23:52,750 --> 00:23:54,549

 

726
00:23:54,549 --> 00:23:54,559

 

727
00:23:54,559 --> 00:23:55,430


728
00:23:55,430 --> 00:23:57,269

 

729
00:23:57,269 --> 00:23:58,789

 

730
00:23:58,789 --> 00:23:58,799

 

731
00:23:58,799 --> 00:24:00,470


732
00:24:00,470 --> 00:24:02,390

 

733
00:24:02,390 --> 00:24:04,549

 

734
00:24:04,549 --> 00:24:06,549

 

735
00:24:06,549 --> 00:24:09,110

 

736
00:24:09,110 --> 00:24:09,120

 

737
00:24:09,120 --> 00:24:10,149


738
00:24:10,149 --> 00:24:14,310

 

739
00:24:14,310 --> 00:24:16,230

 

740
00:24:16,230 --> 00:24:19,269

 

741
00:24:19,269 --> 00:24:21,669

 

742
00:24:21,669 --> 00:24:23,510

 

743
00:24:23,510 --> 00:24:24,710

 

744
00:24:24,710 --> 00:24:26,390

 

745
00:24:26,390 --> 00:24:30,149

 

746
00:24:30,149 --> 00:24:31,830

 

747
00:24:31,830 --> 00:24:34,070

 

748
00:24:34,070 --> 00:24:37,269

 

749
00:24:37,269 --> 00:24:42,390

 

750
00:24:42,390 --> 00:24:44,230

 

751
00:24:44,230 --> 00:24:46,630

 

752
00:24:46,630 --> 00:24:48,549

 

753
00:24:48,549 --> 00:24:51,029

 

754
00:24:51,029 --> 00:24:56,070

 

755
00:24:56,070 --> 00:24:57,830

 

756
00:24:57,830 --> 00:25:01,430

 

757
00:25:01,430 --> 00:25:01,440

 

758
00:25:01,440 --> 00:25:02,789


759
00:25:02,789 --> 00:25:04,549

 

760
00:25:04,549 --> 00:25:06,950

 

761
00:25:06,950 --> 00:25:06,960

 

762
00:25:06,960 --> 00:25:09,669


763
00:25:09,669 --> 00:25:11,990

 

764
00:25:11,990 --> 00:25:14,630

 

765
00:25:14,630 --> 00:25:18,390

 

766
00:25:18,390 --> 00:25:21,350

 

767
00:25:21,350 --> 00:25:22,789

 

768
00:25:22,789 --> 00:25:25,350

 

769
00:25:25,350 --> 00:25:25,360

 

770
00:25:25,360 --> 00:25:26,149


771
00:25:26,149 --> 00:25:29,029

 

772
00:25:29,029 --> 00:25:30,870

 

773
00:25:30,870 --> 00:25:33,669

 

774
00:25:33,669 --> 00:25:33,679

 

775
00:25:33,679 --> 00:25:34,470


776
00:25:34,470 --> 00:25:36,549

 

777
00:25:36,549 --> 00:25:39,750

 

778
00:25:39,750 --> 00:25:39,760

 

779
00:25:39,760 --> 00:25:40,950


780
00:25:40,950 --> 00:25:41,990

 

781
00:25:41,990 --> 00:25:43,669

 

782
00:25:43,669 --> 00:25:45,510

 

783
00:25:45,510 --> 00:25:47,350

 

784
00:25:47,350 --> 00:25:49,190

 

785
00:25:49,190 --> 00:25:51,190

 

786
00:25:51,190 --> 00:25:53,190

 

787
00:25:53,190 --> 00:25:55,669

 

788
00:25:55,669 --> 00:25:57,510

 

789
00:25:57,510 --> 00:25:59,430

 

790
00:25:59,430 --> 00:26:01,110

 

791
00:26:01,110 --> 00:26:02,630

 

792
00:26:02,630 --> 00:26:04,870

 

793
00:26:04,870 --> 00:26:08,310

 

794
00:26:08,310 --> 00:26:11,029

 

795
00:26:11,029 --> 00:26:13,510

 

796
00:26:13,510 --> 00:26:15,110

 

797
00:26:15,110 --> 00:26:17,430

 

798
00:26:17,430 --> 00:26:18,630

 

799
00:26:18,630 --> 00:26:20,070

 

800
00:26:20,070 --> 00:26:22,149

 

801
00:26:22,149 --> 00:26:25,110

 

802
00:26:25,110 --> 00:26:26,710

 

803
00:26:26,710 --> 00:26:29,990

 

804
00:26:29,990 --> 00:26:30,000

 

805
00:26:30,000 --> 00:26:31,510


806
00:26:31,510 --> 00:26:34,230

 

807
00:26:34,230 --> 00:26:35,430

 

808
00:26:35,430 --> 00:26:37,750

 

809
00:26:37,750 --> 00:26:40,230

 

810
00:26:40,230 --> 00:26:44,470

 

811
00:26:44,470 --> 00:26:45,510

 

812
00:26:45,510 --> 00:26:47,029

 

813
00:26:47,029 --> 00:26:49,029

 

814
00:26:49,029 --> 00:26:51,430

 

815
00:26:51,430 --> 00:26:53,190

 

816
00:26:53,190 --> 00:26:55,269

 

817
00:26:55,269 --> 00:26:58,789

 

818
00:26:58,789 --> 00:27:00,630

 

819
00:27:00,630 --> 00:27:04,310

 

820
00:27:04,310 --> 00:27:06,630

 

821
00:27:06,630 --> 00:27:06,640

 

822
00:27:06,640 --> 00:27:07,269


823
00:27:07,269 --> 00:27:08,549

 

824
00:27:08,549 --> 00:27:11,269

 

825
00:27:11,269 --> 00:27:15,750

 

826
00:27:15,750 --> 00:27:17,590

 

827
00:27:17,590 --> 00:27:19,990

 

828
00:27:19,990 --> 00:27:22,310

 

829
00:27:22,310 --> 00:27:25,510

 

830
00:27:25,510 --> 00:27:26,870

 

831
00:27:26,870 --> 00:27:29,750

 

832
00:27:29,750 --> 00:27:32,470

 

833
00:27:32,470 --> 00:27:35,110

 

834
00:27:35,110 --> 00:27:38,549

 

835
00:27:38,549 --> 00:27:40,310

 

836
00:27:40,310 --> 00:27:43,190

 

837
00:27:43,190 --> 00:27:46,389

 

838
00:27:46,389 --> 00:27:48,149

 

839
00:27:48,149 --> 00:27:51,909

 

840
00:27:51,909 --> 00:27:55,190

 

841
00:27:55,190 --> 00:27:57,190

 

842
00:27:57,190 --> 00:27:59,110

 

843
00:27:59,110 --> 00:28:02,230

 

844
00:28:02,230 --> 00:28:03,190

 

845
00:28:03,190 --> 00:28:06,149

 

846
00:28:06,149 --> 00:28:08,630

 

847
00:28:08,630 --> 00:28:10,149

 

848
00:28:10,149 --> 00:28:12,310

 

849
00:28:12,310 --> 00:28:14,070

 

850
00:28:14,070 --> 00:28:15,669

 

851
00:28:15,669 --> 00:28:17,909

 

852
00:28:17,909 --> 00:28:19,669

 

853
00:28:19,669 --> 00:28:21,269

 

854
00:28:21,269 --> 00:28:24,230

 

855
00:28:24,230 --> 00:28:28,230

 

856
00:28:28,230 --> 00:28:29,269

 

857
00:28:29,269 --> 00:28:30,630

 

858
00:28:30,630 --> 00:28:34,470

 

859
00:28:34,470 --> 00:28:36,389

 

860
00:28:36,389 --> 00:28:37,990

 

861
00:28:37,990 --> 00:28:40,630

 

862
00:28:40,630 --> 00:28:43,430

 

863
00:28:43,430 --> 00:28:44,870

 

864
00:28:44,870 --> 00:28:44,880

 

865
00:28:44,880 --> 00:28:46,149


866
00:28:46,149 --> 00:28:49,110

 

867
00:28:49,110 --> 00:28:51,269

 

868
00:28:51,269 --> 00:28:51,279

 

869
00:28:51,279 --> 00:28:52,549


870
00:28:52,549 --> 00:28:55,190

 

871
00:28:55,190 --> 00:28:58,389

 

872
00:28:58,389 --> 00:29:00,549

 

873
00:29:00,549 --> 00:29:02,710

 

874
00:29:02,710 --> 00:29:04,310

 

875
00:29:04,310 --> 00:29:06,470

 

876
00:29:06,470 --> 00:29:08,230

 

877
00:29:08,230 --> 00:29:09,590

 

878
00:29:09,590 --> 00:29:11,750

 

879
00:29:11,750 --> 00:29:13,750

 

880
00:29:13,750 --> 00:29:15,750

 

881
00:29:15,750 --> 00:29:18,149

 

882
00:29:18,149 --> 00:29:20,070

 

883
00:29:20,070 --> 00:29:22,230

 

884
00:29:22,230 --> 00:29:25,590

 

885
00:29:25,590 --> 00:29:27,830

 

886
00:29:27,830 --> 00:29:29,750

 

887
00:29:29,750 --> 00:29:32,149

 

888
00:29:32,149 --> 00:29:35,590

 

889
00:29:35,590 --> 00:29:37,750

 

890
00:29:37,750 --> 00:29:39,669

 

891
00:29:39,669 --> 00:29:41,510

 

892
00:29:41,510 --> 00:29:43,190

 

893
00:29:43,190 --> 00:29:43,200

 

894
00:29:43,200 --> 00:29:44,149


895
00:29:44,149 --> 00:29:46,470

 

896
00:29:46,470 --> 00:29:48,630

 

897
00:29:48,630 --> 00:29:52,549

 

898
00:29:52,549 --> 00:29:52,559

 

899
00:29:52,559 --> 00:29:53,590


900
00:29:53,590 --> 00:29:54,950

 

901
00:29:54,950 --> 00:29:57,029

 

902
00:29:57,029 --> 00:29:59,190

 

903
00:29:59,190 --> 00:30:01,190

 

904
00:30:01,190 --> 00:30:03,350

 

905
00:30:03,350 --> 00:30:08,070

 

906
00:30:08,070 --> 00:30:09,590

 

907
00:30:09,590 --> 00:30:11,590

 

908
00:30:11,590 --> 00:30:13,750

 

909
00:30:13,750 --> 00:30:14,870

 

910
00:30:14,870 --> 00:30:16,789

 

911
00:30:16,789 --> 00:30:16,799

 

912
00:30:16,799 --> 00:30:18,950


913
00:30:18,950 --> 00:30:20,870

 

914
00:30:20,870 --> 00:30:23,750

 

915
00:30:23,750 --> 00:30:25,350

 

916
00:30:25,350 --> 00:30:27,669

 

917
00:30:27,669 --> 00:30:31,510

 

918
00:30:31,510 --> 00:30:34,710

 

919
00:30:34,710 --> 00:30:34,720

 

920
00:30:34,720 --> 00:30:36,230


921
00:30:36,230 --> 00:30:38,870

 

922
00:30:38,870 --> 00:30:41,029

 

923
00:30:41,029 --> 00:30:42,870

 

924
00:30:42,870 --> 00:30:45,350

 

925
00:30:45,350 --> 00:30:48,870

 

926
00:30:48,870 --> 00:30:50,789

 

927
00:30:50,789 --> 00:30:53,190

 

928
00:30:53,190 --> 00:30:56,389

 

929
00:30:56,389 --> 00:30:58,470

 

930
00:30:58,470 --> 00:31:00,870

 

931
00:31:00,870 --> 00:31:03,669

 

932
00:31:03,669 --> 00:31:07,029

 

933
00:31:07,029 --> 00:31:07,039

 

934
00:31:07,039 --> 00:31:08,070


935
00:31:08,070 --> 00:31:11,190

 

936
00:31:11,190 --> 00:31:11,200

 

937
00:31:11,200 --> 00:31:12,389


938
00:31:12,389 --> 00:31:15,110

 

939
00:31:15,110 --> 00:31:17,029

 

940
00:31:17,029 --> 00:31:19,269

 

941
00:31:19,269 --> 00:31:21,750

 

942
00:31:21,750 --> 00:31:23,830

 

943
00:31:23,830 --> 00:31:25,909

 

944
00:31:25,909 --> 00:31:27,750

 

945
00:31:27,750 --> 00:31:29,269

 

946
00:31:29,269 --> 00:31:33,909

 

947
00:31:33,909 --> 00:31:33,919

 

948
00:31:33,919 --> 00:31:35,029


949
00:31:35,029 --> 00:31:35,039

 

950
00:31:35,039 --> 00:31:37,669


951
00:31:37,669 --> 00:31:39,110

 

952
00:31:39,110 --> 00:31:41,509

 

953
00:31:41,509 --> 00:31:43,590

 

954
00:31:43,590 --> 00:31:46,389

 

955
00:31:46,389 --> 00:31:49,990

 

956
00:31:49,990 --> 00:31:52,070

 

957
00:31:52,070 --> 00:31:53,509

 

958
00:31:53,509 --> 00:31:55,430

 

959
00:31:55,430 --> 00:31:55,440

 

960
00:31:55,440 --> 00:31:56,870


961
00:31:56,870 --> 00:31:59,190

 

962
00:31:59,190 --> 00:32:00,549

 

963
00:32:00,549 --> 00:32:02,789

 

964
00:32:02,789 --> 00:32:02,799

 

965
00:32:02,799 --> 00:32:03,990


966
00:32:03,990 --> 00:32:06,149

 

967
00:32:06,149 --> 00:32:08,149

 

968
00:32:08,149 --> 00:32:10,470

 

969
00:32:10,470 --> 00:32:12,789

 

970
00:32:12,789 --> 00:32:14,470

 

971
00:32:14,470 --> 00:32:16,310

 

972
00:32:16,310 --> 00:32:18,310

 

973
00:32:18,310 --> 00:32:18,320

 

974
00:32:18,320 --> 00:32:19,269


975
00:32:19,269 --> 00:32:20,870

 

976
00:32:20,870 --> 00:32:20,880

 

977
00:32:20,880 --> 00:32:23,110


978
00:32:23,110 --> 00:32:25,830

 

979
00:32:25,830 --> 00:32:28,789

 

980
00:32:28,789 --> 00:32:31,269

 

981
00:32:31,269 --> 00:32:31,279

 

982
00:32:31,279 --> 00:32:32,549


983
00:32:32,549 --> 00:32:32,559

 

984
00:32:32,559 --> 00:32:35,669


985
00:32:35,669 --> 00:32:37,750

 

986
00:32:37,750 --> 00:32:37,760

 

987
00:32:37,760 --> 00:32:38,950


988
00:32:38,950 --> 00:32:42,230

 

989
00:32:42,230 --> 00:32:45,110

 

990
00:32:45,110 --> 00:32:46,549

 

991
00:32:46,549 --> 00:32:48,710

 

992
00:32:48,710 --> 00:32:51,909

 

993
00:32:51,909 --> 00:32:53,909

 

994
00:32:53,909 --> 00:32:56,470

 

995
00:32:56,470 --> 00:32:59,590

 

996
00:32:59,590 --> 00:33:01,830

 

997
00:33:01,830 --> 00:33:03,909

 

998
00:33:03,909 --> 00:33:05,590

 

999
00:33:05,590 --> 00:33:08,149

 

1000
00:33:08,149 --> 00:33:08,159

 

1001
00:33:08,159 --> 00:33:08,950


1002
00:33:08,950 --> 00:33:10,549

 

1003
00:33:10,549 --> 00:33:13,990

 

1004
00:33:13,990 --> 00:33:17,430

 

1005
00:33:17,430 --> 00:33:19,269

 

1006
00:33:19,269 --> 00:33:20,789

 

1007
00:33:20,789 --> 00:33:22,389

 

1008
00:33:22,389 --> 00:33:24,789

 

1009
00:33:24,789 --> 00:33:27,190

 

1010
00:33:27,190 --> 00:33:27,200

 

1011
00:33:27,200 --> 00:33:28,470


1012
00:33:28,470 --> 00:33:30,630

 

1013
00:33:30,630 --> 00:33:32,789

 

1014
00:33:32,789 --> 00:33:34,870

 

1015
00:33:34,870 --> 00:33:34,880

 

1016
00:33:34,880 --> 00:33:37,269


1017
00:33:37,269 --> 00:33:37,279

 

1018
00:33:37,279 --> 00:33:38,549


1019
00:33:38,549 --> 00:33:40,549

 

1020
00:33:40,549 --> 00:33:41,909

 

1021
00:33:41,909 --> 00:33:45,110

 

1022
00:33:45,110 --> 00:33:47,750

 

1023
00:33:47,750 --> 00:33:47,760

 

1024
00:33:47,760 --> 00:33:49,110


1025
00:33:49,110 --> 00:33:50,470

 

1026
00:33:50,470 --> 00:33:52,389

 

1027
00:33:52,389 --> 00:33:54,389

 

1028
00:33:54,389 --> 00:33:56,149

 

1029
00:33:56,149 --> 00:33:58,950

 

1030
00:33:58,950 --> 00:34:01,830

 

1031
00:34:01,830 --> 00:34:03,430

 

1032
00:34:03,430 --> 00:34:05,590

 

1033
00:34:05,590 --> 00:34:07,430

 

1034
00:34:07,430 --> 00:34:09,829

 

1035
00:34:09,829 --> 00:34:12,149

 

1036
00:34:12,149 --> 00:34:15,109

 

1037
00:34:15,109 --> 00:34:17,589

 

1038
00:34:17,589 --> 00:34:19,190

 

1039
00:34:19,190 --> 00:34:20,149

 

1040
00:34:20,149 --> 00:34:20,159

 

1041
00:34:20,159 --> 00:34:21,349


1042
00:34:21,349 --> 00:34:22,950

 

1043
00:34:22,950 --> 00:34:24,950

 

1044
00:34:24,950 --> 00:34:24,960

 

1045
00:34:24,960 --> 00:34:26,069


1046
00:34:26,069 --> 00:34:26,079

 

1047
00:34:26,079 --> 00:34:28,790


1048
00:34:28,790 --> 00:34:30,470

 

1049
00:34:30,470 --> 00:34:30,480

 

1050
00:34:30,480 --> 00:34:32,069


1051
00:34:32,069 --> 00:34:32,079

 

1052
00:34:32,079 --> 00:34:33,030


1053
00:34:33,030 --> 00:34:36,230

 

1054
00:34:36,230 --> 00:34:37,829

 

1055
00:34:37,829 --> 00:34:40,230

 

1056
00:34:40,230 --> 00:34:42,629

 

1057
00:34:42,629 --> 00:34:44,550

 

1058
00:34:44,550 --> 00:34:46,550

 

1059
00:34:46,550 --> 00:34:48,470

 

1060
00:34:48,470 --> 00:34:49,750

 

1061
00:34:49,750 --> 00:34:51,750

 

1062
00:34:51,750 --> 00:34:55,030

 

1063
00:34:55,030 --> 00:34:56,790

 

1064
00:34:56,790 --> 00:34:58,310

 

1065
00:34:58,310 --> 00:35:00,829

 

1066
00:35:00,829 --> 00:35:04,069

 

1067
00:35:04,069 --> 00:35:06,630

 

1068
00:35:06,630 --> 00:35:08,230

 

1069
00:35:08,230 --> 00:35:09,589

 

1070
00:35:09,589 --> 00:35:12,069

 

1071
00:35:12,069 --> 00:35:14,470

 

1072
00:35:14,470 --> 00:35:16,870

 

1073
00:35:16,870 --> 00:35:18,150

 

1074
00:35:18,150 --> 00:35:19,990

 

1075
00:35:19,990 --> 00:35:21,270

 

1076
00:35:21,270 --> 00:35:23,030

 

1077
00:35:23,030 --> 00:35:24,550

 

1078
00:35:24,550 --> 00:35:24,560

 

1079
00:35:24,560 --> 00:35:25,829


1080
00:35:25,829 --> 00:35:27,349

 

1081
00:35:27,349 --> 00:35:28,550

 

1082
00:35:28,550 --> 00:35:30,390

 

1083
00:35:30,390 --> 00:35:31,990

 

1084
00:35:31,990 --> 00:35:34,550

 

1085
00:35:34,550 --> 00:35:36,230

 

1086
00:35:36,230 --> 00:35:36,240

 

1087
00:35:36,240 --> 00:35:39,109


1088
00:35:39,109 --> 00:35:40,790

 

1089
00:35:40,790 --> 00:35:42,310

 

1090
00:35:42,310 --> 00:35:43,750

 

1091
00:35:43,750 --> 00:35:44,950

 

1092
00:35:44,950 --> 00:35:44,960

 

1093
00:35:44,960 --> 00:35:45,990


1094
00:35:45,990 --> 00:35:47,510

 

1095
00:35:47,510 --> 00:35:49,670

 

1096
00:35:49,670 --> 00:35:49,680

 

1097
00:35:49,680 --> 00:35:50,950


1098
00:35:50,950 --> 00:35:52,390

 

1099
00:35:52,390 --> 00:35:54,950

 

1100
00:35:54,950 --> 00:35:54,960

 

1101
00:35:54,960 --> 00:35:56,630


1102
00:35:56,630 --> 00:35:58,390

 

1103
00:35:58,390 --> 00:36:00,630

 

1104
00:36:00,630 --> 00:36:01,910

 

1105
00:36:01,910 --> 00:36:03,829

 

1106
00:36:03,829 --> 00:36:07,109

 

1107
00:36:07,109 --> 00:36:09,270

 

1108
00:36:09,270 --> 00:36:11,030

 

1109
00:36:11,030 --> 00:36:12,790

 

1110
00:36:12,790 --> 00:36:14,710

 

1111
00:36:14,710 --> 00:36:17,670

 

1112
00:36:17,670 --> 00:36:19,349

 

1113
00:36:19,349 --> 00:36:21,829

 

1114
00:36:21,829 --> 00:36:23,829

 

1115
00:36:23,829 --> 00:36:27,750

 

1116
00:36:27,750 --> 00:36:29,750

 

1117
00:36:29,750 --> 00:36:30,950

 

1118
00:36:30,950 --> 00:36:32,790

 

1119
00:36:32,790 --> 00:36:34,950

 

1120
00:36:34,950 --> 00:36:35,990

 

1121
00:36:35,990 --> 00:36:38,550

 

1122
00:36:38,550 --> 00:36:40,069

 

1123
00:36:40,069 --> 00:36:41,750

 

1124
00:36:41,750 --> 00:36:45,109

 

1125
00:36:45,109 --> 00:36:47,829

 

1126
00:36:47,829 --> 00:36:51,190

 

1127
00:36:51,190 --> 00:36:52,870

 

1128
00:36:52,870 --> 00:36:54,390

 

1129
00:36:54,390 --> 00:36:54,400

 

1130
00:36:54,400 --> 00:36:55,190


1131
00:36:55,190 --> 00:36:57,990

 

1132
00:36:57,990 --> 00:37:00,390

 

1133
00:37:00,390 --> 00:37:03,510

 

1134
00:37:03,510 --> 00:37:06,390

 

1135
00:37:06,390 --> 00:37:10,390

 

1136
00:37:10,390 --> 00:37:10,400

 

1137
00:37:10,400 --> 00:37:12,550


1138
00:37:12,550 --> 00:37:12,560

 

1139
00:37:12,560 --> 00:37:15,510


1140
00:37:15,510 --> 00:37:21,510

 

1141
00:37:21,510 --> 00:37:24,870

 

1142
00:37:24,870 --> 00:37:27,589

 

1143
00:37:27,589 --> 00:37:29,829

 

1144
00:37:29,829 --> 00:37:32,870

 

1145
00:37:32,870 --> 00:37:34,630

 

1146
00:37:34,630 --> 00:37:37,190

 

1147
00:37:37,190 --> 00:37:39,030

 

1148
00:37:39,030 --> 00:37:40,390

 

1149
00:37:40,390 --> 00:37:40,400

 

1150
00:37:40,400 --> 00:37:41,910


1151
00:37:41,910 --> 00:37:44,390

 

1152
00:37:44,390 --> 00:37:46,550

 

1153
00:37:46,550 --> 00:37:48,390

 

1154
00:37:48,390 --> 00:37:48,400

 

1155
00:37:48,400 --> 00:37:49,510


1156
00:37:49,510 --> 00:37:52,150

 

1157
00:37:52,150 --> 00:37:52,160

 

1158
00:37:52,160 --> 00:37:52,950


1159
00:37:52,950 --> 00:37:55,270

 

1160
00:37:55,270 --> 00:37:57,190

 

1161
00:37:57,190 --> 00:37:59,349

 

1162
00:37:59,349 --> 00:38:01,510

 

1163
00:38:01,510 --> 00:38:03,829

 

1164
00:38:03,829 --> 00:38:07,109

 

1165
00:38:07,109 --> 00:38:09,109

 

1166
00:38:09,109 --> 00:38:11,190

 

1167
00:38:11,190 --> 00:38:13,270

 

1168
00:38:13,270 --> 00:38:17,030

 

1169
00:38:17,030 --> 00:38:19,270

 

1170
00:38:19,270 --> 00:38:22,230

 

1171
00:38:22,230 --> 00:38:24,390

 

1172
00:38:24,390 --> 00:38:26,870

 

1173
00:38:26,870 --> 00:38:28,950

 

1174
00:38:28,950 --> 00:38:32,150

 

1175
00:38:32,150 --> 00:38:32,160

 

1176
00:38:32,160 --> 00:38:33,670


1177
00:38:33,670 --> 00:38:35,750

 

1178
00:38:35,750 --> 00:38:37,829

 

1179
00:38:37,829 --> 00:38:39,430

 

1180
00:38:39,430 --> 00:38:41,829

 

1181
00:38:41,829 --> 00:38:44,310

 

1182
00:38:44,310 --> 00:38:46,710

 

1183
00:38:46,710 --> 00:38:49,270

 

1184
00:38:49,270 --> 00:38:49,280

 

1185
00:38:49,280 --> 00:38:52,630


1186
00:38:52,630 --> 00:38:54,790

 

1187
00:38:54,790 --> 00:38:57,030

 

1188
00:38:57,030 --> 00:38:58,870

 

1189
00:38:58,870 --> 00:39:02,150

 

1190
00:39:02,150 --> 00:39:04,230

 

1191
00:39:04,230 --> 00:39:09,030

 

1192
00:39:09,030 --> 00:39:11,270

 

1193
00:39:11,270 --> 00:39:12,950

 

1194
00:39:12,950 --> 00:39:15,349

 

1195
00:39:15,349 --> 00:39:15,359

 

1196
00:39:15,359 --> 00:39:17,190


1197
00:39:17,190 --> 00:39:18,870

 

1198
00:39:18,870 --> 00:39:18,880

 

1199
00:39:18,880 --> 00:39:19,829


1200
00:39:19,829 --> 00:39:21,270

 

1201
00:39:21,270 --> 00:39:23,349

 

1202
00:39:23,349 --> 00:39:26,069

 

1203
00:39:26,069 --> 00:39:28,470

 

1204
00:39:28,470 --> 00:39:31,750

 

1205
00:39:31,750 --> 00:39:34,390

 

1206
00:39:34,390 --> 00:39:36,710

 

1207
00:39:36,710 --> 00:39:38,870

 

1208
00:39:38,870 --> 00:39:40,230

 

1209
00:39:40,230 --> 00:39:40,240

 

1210
00:39:40,240 --> 00:39:41,670


1211
00:39:41,670 --> 00:39:43,349

 

1212
00:39:43,349 --> 00:39:45,510

 

1213
00:39:45,510 --> 00:39:48,230

 

1214
00:39:48,230 --> 00:39:48,240

 

1215
00:39:48,240 --> 00:39:51,270


1216
00:39:51,270 --> 00:39:53,109

 

1217
00:39:53,109 --> 00:39:54,710

 

1218
00:39:54,710 --> 00:39:57,829

 

1219
00:39:57,829 --> 00:39:59,910

 

1220
00:39:59,910 --> 00:40:01,910

 

1221
00:40:01,910 --> 00:40:04,069

 

1222
00:40:04,069 --> 00:40:05,510

 

1223
00:40:05,510 --> 00:40:05,520

 

1224
00:40:05,520 --> 00:40:07,030


1225
00:40:07,030 --> 00:40:08,950

 

1226
00:40:08,950 --> 00:40:11,030

 

1227
00:40:11,030 --> 00:40:12,870

 

1228
00:40:12,870 --> 00:40:14,470

 

1229
00:40:14,470 --> 00:40:16,470

 

1230
00:40:16,470 --> 00:40:18,069

 

1231
00:40:18,069 --> 00:40:20,309

 

1232
00:40:20,309 --> 00:40:22,390

 

1233
00:40:22,390 --> 00:40:22,400

 

1234
00:40:22,400 --> 00:40:25,430


1235
00:40:25,430 --> 00:40:27,109

 

1236
00:40:27,109 --> 00:40:28,630

 

1237
00:40:28,630 --> 00:40:30,309

 

1238
00:40:30,309 --> 00:40:32,309

 

1239
00:40:32,309 --> 00:40:34,950

 

1240
00:40:34,950 --> 00:40:36,870

 

1241
00:40:36,870 --> 00:40:38,710

 

1242
00:40:38,710 --> 00:40:40,230

 

1243
00:40:40,230 --> 00:40:41,589

 

1244
00:40:41,589 --> 00:40:43,190

 

1245
00:40:43,190 --> 00:40:45,190

 

1246
00:40:45,190 --> 00:40:48,710

 

1247
00:40:48,710 --> 00:40:49,990

 

1248
00:40:49,990 --> 00:40:51,990

 

1249
00:40:51,990 --> 00:40:55,030

 

1250
00:40:55,030 --> 00:40:57,270

 

1251
00:40:57,270 --> 00:40:59,829

 

1252
00:40:59,829 --> 00:41:01,589

 

1253
00:41:01,589 --> 00:41:03,990

 

1254
00:41:03,990 --> 00:41:04,000

 

1255
00:41:04,000 --> 00:41:04,710


1256
00:41:04,710 --> 00:41:06,550

 

1257
00:41:06,550 --> 00:41:08,790

 

1258
00:41:08,790 --> 00:41:11,109

 

1259
00:41:11,109 --> 00:41:11,119

 

1260
00:41:11,119 --> 00:41:12,390


1261
00:41:12,390 --> 00:41:15,829

 

1262
00:41:15,829 --> 00:41:17,589

 

1263
00:41:17,589 --> 00:41:18,790

 

1264
00:41:18,790 --> 00:41:21,270

 

1265
00:41:21,270 --> 00:41:24,870

 

1266
00:41:24,870 --> 00:41:26,550

 

1267
00:41:26,550 --> 00:41:26,560

 

1268
00:41:26,560 --> 00:41:28,230


1269
00:41:28,230 --> 00:41:32,309

 

1270
00:41:32,309 --> 00:41:34,550

 

1271
00:41:34,550 --> 00:41:36,630

 

1272
00:41:36,630 --> 00:41:38,150

 

1273
00:41:38,150 --> 00:41:39,510

 

1274
00:41:39,510 --> 00:41:41,589

 

1275
00:41:41,589 --> 00:41:43,430

 

1276
00:41:43,430 --> 00:41:44,790

 

1277
00:41:44,790 --> 00:41:46,309

 

1278
00:41:46,309 --> 00:41:49,430

 

1279
00:41:49,430 --> 00:41:50,790

 

1280
00:41:50,790 --> 00:41:52,550

 

1281
00:41:52,550 --> 00:41:55,510

 

1282
00:41:55,510 --> 00:41:57,349

 

1283
00:41:57,349 --> 00:41:58,470

 

1284
00:41:58,470 --> 00:41:58,480

 

1285
00:41:58,480 --> 00:41:59,510


1286
00:41:59,510 --> 00:42:02,470

 

1287
00:42:02,470 --> 00:42:04,069

 

1288
00:42:04,069 --> 00:42:06,630

 

1289
00:42:06,630 --> 00:42:09,349

 

1290
00:42:09,349 --> 00:42:11,270

 

1291
00:42:11,270 --> 00:42:12,710

 

1292
00:42:12,710 --> 00:42:12,720

 

1293
00:42:12,720 --> 00:42:13,910


1294
00:42:13,910 --> 00:42:15,109

 

1295
00:42:15,109 --> 00:42:17,510

 

1296
00:42:17,510 --> 00:42:18,870

 

1297
00:42:18,870 --> 00:42:20,470

 

1298
00:42:20,470 --> 00:42:22,630

 

1299
00:42:22,630 --> 00:42:24,870

 

1300
00:42:24,870 --> 00:42:27,510

 

1301
00:42:27,510 --> 00:42:32,470

 

1302
00:42:32,470 --> 00:42:35,430

 

1303
00:42:35,430 --> 00:42:37,430

 

1304
00:42:37,430 --> 00:42:39,670

 

1305
00:42:39,670 --> 00:42:42,230

 

1306
00:42:42,230 --> 00:42:46,230

 

1307
00:42:46,230 --> 00:42:48,069

 

1308
00:42:48,069 --> 00:42:52,950

 

1309
00:42:52,950 --> 00:42:52,960

 

1310
00:42:52,960 --> 00:42:53,829


1311
00:42:53,829 --> 00:42:55,990

 

1312
00:42:55,990 --> 00:42:57,670

 

1313
00:42:57,670 --> 00:42:59,270

 

1314
00:42:59,270 --> 00:43:01,190

 

1315
00:43:01,190 --> 00:43:04,390

 

1316
00:43:04,390 --> 00:43:04,400

 

1317
00:43:04,400 --> 00:43:05,109


1318
00:43:05,109 --> 00:43:06,870

 

1319
00:43:06,870 --> 00:43:09,750

 

1320
00:43:09,750 --> 00:43:11,349

 

1321
00:43:11,349 --> 00:43:11,359

 

1322
00:43:11,359 --> 00:43:14,069


1323
00:43:14,069 --> 00:43:14,079

 

1324
00:43:14,079 --> 00:43:15,349


1325
00:43:15,349 --> 00:43:18,390

 

1326
00:43:18,390 --> 00:43:21,030

 

1327
00:43:21,030 --> 00:43:21,040

 

1328
00:43:21,040 --> 00:43:22,950


1329
00:43:22,950 --> 00:43:22,960

 

1330
00:43:22,960 --> 00:43:24,069


1331
00:43:24,069 --> 00:43:25,510

 

1332
00:43:25,510 --> 00:43:26,950

 

1333
00:43:26,950 --> 00:43:28,390

 

1334
00:43:28,390 --> 00:43:31,670

 

1335
00:43:31,670 --> 00:43:34,150

 

1336
00:43:34,150 --> 00:43:36,390

 

1337
00:43:36,390 --> 00:43:37,829

 

1338
00:43:37,829 --> 00:43:40,710

 

1339
00:43:40,710 --> 00:43:43,430

 

1340
00:43:43,430 --> 00:43:46,630

 

1341
00:43:46,630 --> 00:43:47,910

 

1342
00:43:47,910 --> 00:43:49,990

 

1343
00:43:49,990 --> 00:43:52,550

 

1344
00:43:52,550 --> 00:43:54,950

 

1345
00:43:54,950 --> 00:43:57,589

 

1346
00:43:57,589 --> 00:44:00,950

 

1347
00:44:00,950 --> 00:44:04,309

 

1348
00:44:04,309 --> 00:44:07,190

 

1349
00:44:07,190 --> 00:44:09,990

 

1350
00:44:09,990 --> 00:44:13,109

 

1351
00:44:13,109 --> 00:44:15,030

 

1352
00:44:15,030 --> 00:44:16,710

 

1353
00:44:16,710 --> 00:44:18,870

 

1354
00:44:18,870 --> 00:44:21,190

 

1355
00:44:21,190 --> 00:44:23,829

 

1356
00:44:23,829 --> 00:44:23,839

 

1357
00:44:23,839 --> 00:44:24,710


1358
00:44:24,710 --> 00:44:27,030

 

1359
00:44:27,030 --> 00:44:29,030

 

1360
00:44:29,030 --> 00:44:29,040

 

1361
00:44:29,040 --> 00:44:30,309


1362
00:44:30,309 --> 00:44:30,319

 

1363
00:44:30,319 --> 00:44:31,109


1364
00:44:31,109 --> 00:44:31,119

 

1365
00:44:31,119 --> 00:44:32,550


1366
00:44:32,550 --> 00:44:34,950

 

1367
00:44:34,950 --> 00:44:36,710

 

1368
00:44:36,710 --> 00:44:39,510

 

1369
00:44:39,510 --> 00:44:41,349

 

1370
00:44:41,349 --> 00:44:44,150

 

1371
00:44:44,150 --> 00:44:47,510

 

1372
00:44:47,510 --> 00:44:49,910

 

1373
00:44:49,910 --> 00:44:52,550

 

1374
00:44:52,550 --> 00:44:52,560

 

1375
00:44:52,560 --> 00:44:54,069


1376
00:44:54,069 --> 00:44:54,079

 

1377
00:44:54,079 --> 00:44:55,190


1378
00:44:55,190 --> 00:44:57,349

 

1379
00:44:57,349 --> 00:44:59,670

 

1380
00:44:59,670 --> 00:45:00,950

 

1381
00:45:00,950 --> 00:45:03,510

 

1382
00:45:03,510 --> 00:45:03,520

 

1383
00:45:03,520 --> 00:45:04,390


1384
00:45:04,390 --> 00:45:06,870

 

1385
00:45:06,870 --> 00:45:08,790

 

1386
00:45:08,790 --> 00:45:11,109

 

1387
00:45:11,109 --> 00:45:14,790

 

1388
00:45:14,790 --> 00:45:16,630

 

1389
00:45:16,630 --> 00:45:18,470

 

1390
00:45:18,470 --> 00:45:21,270

 

1391
00:45:21,270 --> 00:45:22,790

 

1392
00:45:22,790 --> 00:45:25,670

 

1393
00:45:25,670 --> 00:45:27,510

 

1394
00:45:27,510 --> 00:45:28,950

 

1395
00:45:28,950 --> 00:45:30,230

 

1396
00:45:30,230 --> 00:45:33,430

 

1397
00:45:33,430 --> 00:45:36,630

 

1398
00:45:36,630 --> 00:45:39,270

 

1399
00:45:39,270 --> 00:45:40,550

 

1400
00:45:40,550 --> 00:45:43,270

 

1401
00:45:43,270 --> 00:45:45,510

 

1402
00:45:45,510 --> 00:45:47,510

 

1403
00:45:47,510 --> 00:45:49,990

 

1404
00:45:49,990 --> 00:45:52,150

 

1405
00:45:52,150 --> 00:45:54,630

 

1406
00:45:54,630 --> 00:45:56,230

 

1407
00:45:56,230 --> 00:45:58,069

 

1408
00:45:58,069 --> 00:45:59,349

 

1409
00:45:59,349 --> 00:46:01,109

 

1410
00:46:01,109 --> 00:46:05,750

 

1411
00:46:05,750 --> 00:46:05,760

 

1412
00:46:05,760 --> 00:46:06,950


1413
00:46:06,950 --> 00:46:08,630

 

1414
00:46:08,630 --> 00:46:08,640

 

1415
00:46:08,640 --> 00:46:09,430


1416
00:46:09,430 --> 00:46:11,510

 

1417
00:46:11,510 --> 00:46:12,550

 

1418
00:46:12,550 --> 00:46:14,950

 

1419
00:46:14,950 --> 00:46:14,960

 

1420
00:46:14,960 --> 00:46:15,829


1421
00:46:15,829 --> 00:46:18,790

 

1422
00:46:18,790 --> 00:46:21,270

 

1423
00:46:21,270 --> 00:46:23,990

 

1424
00:46:23,990 --> 00:46:24,000

 

1425
00:46:24,000 --> 00:46:24,950


1426
00:46:24,950 --> 00:46:26,470

 

1427
00:46:26,470 --> 00:46:28,870

 

1428
00:46:28,870 --> 00:46:32,630

 

1429
00:46:32,630 --> 00:46:36,950

 

1430
00:46:36,950 --> 00:46:39,670

 

1431
00:46:39,670 --> 00:46:45,750

 

1432
00:46:45,750 --> 00:46:45,760

 

1433
00:46:45,760 --> 00:46:46,630


1434
00:46:46,630 --> 00:46:49,109

 

1435
00:46:49,109 --> 00:46:51,510

 

1436
00:46:51,510 --> 00:46:53,750

 

1437
00:46:53,750 --> 00:46:54,870

 

1438
00:46:54,870 --> 00:46:56,870

 

1439
00:46:56,870 --> 00:46:56,880

 

1440
00:46:56,880 --> 00:47:00,390


1441
00:47:00,390 --> 00:47:03,430

 

1442
00:47:03,430 --> 00:47:03,440

 

1443
00:47:03,440 --> 00:47:05,030


1444
00:47:05,030 --> 00:47:06,790

 

1445
00:47:06,790 --> 00:47:06,800

 

1446
00:47:06,800 --> 00:47:08,390


1447
00:47:08,390 --> 00:47:11,109

 

1448
00:47:11,109 --> 00:47:16,069

 

1449
00:47:16,069 --> 00:47:18,870

 

1450
00:47:18,870 --> 00:47:18,880

 

1451
00:47:18,880 --> 00:47:21,670


1452
00:47:21,670 --> 00:47:23,270

 

1453
00:47:23,270 --> 00:47:24,790

 

1454
00:47:24,790 --> 00:47:24,800

 

1455
00:47:24,800 --> 00:47:25,829


1456
00:47:25,829 --> 00:47:27,349

 

1457
00:47:27,349 --> 00:47:29,589

 

1458
00:47:29,589 --> 00:47:29,599

 

1459
00:47:29,599 --> 00:47:30,870


1460
00:47:30,870 --> 00:47:33,670

 

1461
00:47:33,670 --> 00:47:35,510

 

1462
00:47:35,510 --> 00:47:36,829

 

1463
00:47:36,829 --> 00:47:39,030

 

1464
00:47:39,030 --> 00:47:39,040

 

1465
00:47:39,040 --> 00:47:40,710


1466
00:47:40,710 --> 00:47:43,589

 

1467
00:47:43,589 --> 00:47:47,109

 

1468
00:47:47,109 --> 00:47:49,829

 

1469
00:47:49,829 --> 00:47:52,630

 

1470
00:47:52,630 --> 00:47:54,630

 

1471
00:47:54,630 --> 00:47:56,390

 

1472
00:47:56,390 --> 00:47:58,309

 

1473
00:47:58,309 --> 00:48:01,589

 

1474
00:48:01,589 --> 00:48:01,599

 

1475
00:48:01,599 --> 00:48:02,630


1476
00:48:02,630 --> 00:48:05,190

 

1477
00:48:05,190 --> 00:48:11,109

 

1478
00:48:11,109 --> 00:48:14,710

 

1479
00:48:14,710 --> 00:48:16,870

 

1480
00:48:16,870 --> 00:48:17,829

 

1481
00:48:17,829 --> 00:48:20,230

 

1482
00:48:20,230 --> 00:48:22,549

 

1483
00:48:22,549 --> 00:48:25,589

 

1484
00:48:25,589 --> 00:48:27,589

 

1485
00:48:27,589 --> 00:48:29,670

 

1486
00:48:29,670 --> 00:48:33,030

 

1487
00:48:33,030 --> 00:48:35,270

 

1488
00:48:35,270 --> 00:48:37,829

 

1489
00:48:37,829 --> 00:48:41,270

 

1490
00:48:41,270 --> 00:48:43,750

 

1491
00:48:43,750 --> 00:48:47,430

 

1492
00:48:47,430 --> 00:48:49,670

 

1493
00:48:49,670 --> 00:48:52,150

 

1494
00:48:52,150 --> 00:48:54,309

 

1495
00:48:54,309 --> 00:48:54,319

 

1496
00:48:54,319 --> 00:48:56,710


1497
00:48:56,710 --> 00:48:56,720

 

1498
00:48:56,720 --> 00:48:57,589


1499
00:48:57,589 --> 00:49:00,470

 

1500
00:49:00,470 --> 00:49:03,829

 

1501
00:49:03,829 --> 00:49:06,870

 

1502
00:49:06,870 --> 00:49:06,880

 

1503
00:49:06,880 --> 00:49:07,990


1504
00:49:07,990 --> 00:49:09,670

 

1505
00:49:09,670 --> 00:49:11,829

 

1506
00:49:11,829 --> 00:49:13,430

 

1507
00:49:13,430 --> 00:49:16,390

 

1508
00:49:16,390 --> 00:49:17,829

 

1509
00:49:17,829 --> 00:49:17,839

 

1510
00:49:17,839 --> 00:49:19,910


1511
00:49:19,910 --> 00:49:21,990

 

1512
00:49:21,990 --> 00:49:25,510

 

1513
00:49:25,510 --> 00:49:28,390

 

1514
00:49:28,390 --> 00:49:28,400

 

1515
00:49:28,400 --> 00:49:29,510


1516
00:49:29,510 --> 00:49:31,910

 

1517
00:49:31,910 --> 00:49:31,920

 

1518
00:49:31,920 --> 00:49:35,510


1519
00:49:35,510 --> 00:49:36,790

 

1520
00:49:36,790 --> 00:49:40,309

 

1521
00:49:40,309 --> 00:49:42,790

 

1522
00:49:42,790 --> 00:49:44,790

 

1523
00:49:44,790 --> 00:49:46,390

 

1524
00:49:46,390 --> 00:49:48,230

 

1525
00:49:48,230 --> 00:49:49,589

 

1526
00:49:49,589 --> 00:49:53,270

 

1527
00:49:53,270 --> 00:49:56,390

 

1528
00:49:56,390 --> 00:50:00,710

 

1529
00:50:00,710 --> 00:50:03,589

 

1530
00:50:03,589 --> 00:50:03,599

 

1531
00:50:03,599 --> 00:50:04,710


1532
00:50:04,710 --> 00:50:06,069

 

1533
00:50:06,069 --> 00:50:08,150

 

1534
00:50:08,150 --> 00:50:10,069

 

1535
00:50:10,069 --> 00:50:12,390

 

1536
00:50:12,390 --> 00:50:15,030

 

1537
00:50:15,030 --> 00:50:17,670

 

1538
00:50:17,670 --> 00:50:19,270

 

1539
00:50:19,270 --> 00:50:20,950

 

1540
00:50:20,950 --> 00:50:23,589

 

1541
00:50:23,589 --> 00:50:23,599

 

1542
00:50:23,599 --> 00:50:24,470


1543
00:50:24,470 --> 00:50:26,710

 

1544
00:50:26,710 --> 00:50:26,720

 

1545
00:50:26,720 --> 00:50:29,109


1546
00:50:29,109 --> 00:50:30,790

 

1547
00:50:30,790 --> 00:50:33,349

 

1548
00:50:33,349 --> 00:50:35,750

 

1549
00:50:35,750 --> 00:50:35,760

 

1550
00:50:35,760 --> 00:50:37,030


1551
00:50:37,030 --> 00:50:39,270

 

1552
00:50:39,270 --> 00:50:41,670

 

1553
00:50:41,670 --> 00:50:44,710

 

1554
00:50:44,710 --> 00:50:44,720

 

1555
00:50:44,720 --> 00:50:45,750


1556
00:50:45,750 --> 00:50:48,309

 

1557
00:50:48,309 --> 00:50:51,030

 

1558
00:50:51,030 --> 00:50:51,040

 

1559
00:50:51,040 --> 00:50:53,510


1560
00:50:53,510 --> 00:50:53,520

 

1561
00:50:53,520 --> 00:50:54,470


1562
00:50:54,470 --> 00:50:54,480

 

1563
00:50:54,480 --> 00:50:55,829


1564
00:50:55,829 --> 00:50:57,190

 

1565
00:50:57,190 --> 00:50:59,990

 

1566
00:50:59,990 --> 00:51:03,510

 

1567
00:51:03,510 --> 00:51:05,750

 

1568
00:51:05,750 --> 00:51:09,510

 

1569
00:51:09,510 --> 00:51:09,520

 

1570
00:51:09,520 --> 00:51:11,270


1571
00:51:11,270 --> 00:51:13,670

 

1572
00:51:13,670 --> 00:51:16,870

 

1573
00:51:16,870 --> 00:51:18,230

 

1574
00:51:18,230 --> 00:51:20,950

 

1575
00:51:20,950 --> 00:51:23,589

 

1576
00:51:23,589 --> 00:51:27,109

 

1577
00:51:27,109 --> 00:51:27,119

 

1578
00:51:27,119 --> 00:51:28,630


1579
00:51:28,630 --> 00:51:30,390

 

1580
00:51:30,390 --> 00:51:31,990

 

1581
00:51:31,990 --> 00:51:34,710

 

1582
00:51:34,710 --> 00:51:36,790

 

1583
00:51:36,790 --> 00:51:38,549

 

1584
00:51:38,549 --> 00:51:38,559

 

1585
00:51:38,559 --> 00:51:40,630


1586
00:51:40,630 --> 00:51:42,150

 

1587
00:51:42,150 --> 00:51:44,790

 

1588
00:51:44,790 --> 00:51:47,430

 

1589
00:51:47,430 --> 00:51:49,990

 

1590
00:51:49,990 --> 00:51:51,190

 

1591
00:51:51,190 --> 00:51:53,190

 

1592
00:51:53,190 --> 00:51:56,069

 

1593
00:51:56,069 --> 00:51:58,870

 

1594
00:51:58,870 --> 00:51:59,829

 

1595
00:51:59,829 --> 00:52:03,030

 

1596
00:52:03,030 --> 00:52:05,990

 

1597
00:52:05,990 --> 00:52:09,270

 

1598
00:52:09,270 --> 00:52:12,150

 

1599
00:52:12,150 --> 00:52:14,069

 

1600
00:52:14,069 --> 00:52:17,190

 

1601
00:52:17,190 --> 00:52:19,589

 

1602
00:52:19,589 --> 00:52:21,589

 

1603
00:52:21,589 --> 00:52:24,230

 

1604
00:52:24,230 --> 00:52:25,670

 

1605
00:52:25,670 --> 00:52:28,790

 

1606
00:52:28,790 --> 00:52:30,549

 

1607
00:52:30,549 --> 00:52:32,309

 

1608
00:52:32,309 --> 00:52:34,390

 

1609
00:52:34,390 --> 00:52:36,549

 

1610
00:52:36,549 --> 00:52:38,549

 

1611
00:52:38,549 --> 00:52:41,109

 

1612
00:52:41,109 --> 00:52:43,910

 

1613
00:52:43,910 --> 00:52:45,670

 

1614
00:52:45,670 --> 00:52:48,470

 

1615
00:52:48,470 --> 00:52:51,270

 

1616
00:52:51,270 --> 00:52:52,710

 

1617
00:52:52,710 --> 00:52:55,750

 

1618
00:52:55,750 --> 00:52:58,829

 

1619
00:52:58,829 --> 00:53:00,950

 

1620
00:53:00,950 --> 00:53:04,069

 

1621
00:53:04,069 --> 00:53:05,349

 

1622
00:53:05,349 --> 00:53:06,870

 

1623
00:53:06,870 --> 00:53:08,630

 

1624
00:53:08,630 --> 00:53:10,390

 

1625
00:53:10,390 --> 00:53:12,870

 

1626
00:53:12,870 --> 00:53:14,230

 

1627
00:53:14,230 --> 00:53:15,349

 

1628
00:53:15,349 --> 00:53:17,910

 

1629
00:53:17,910 --> 00:53:19,990

 

1630
00:53:19,990 --> 00:53:21,270

 

1631
00:53:21,270 --> 00:53:21,280

 

1632
00:53:21,280 --> 00:53:22,069


1633
00:53:22,069 --> 00:53:23,109

 

1634
00:53:23,109 --> 00:53:25,109

 

1635
00:53:25,109 --> 00:53:29,510

 

1636
00:53:29,510 --> 00:53:31,109

 

1637
00:53:31,109 --> 00:53:33,270

 

1638
00:53:33,270 --> 00:53:34,870

 

1639
00:53:34,870 --> 00:53:37,910

 

1640
00:53:37,910 --> 00:53:39,670

 

1641
00:53:39,670 --> 00:53:46,309

 

1642
00:53:46,309 --> 00:53:48,230

 

1643
00:53:48,230 --> 00:53:49,670

 

1644
00:53:49,670 --> 00:53:51,030

 

1645
00:53:51,030 --> 00:53:53,430

 

1646
00:53:53,430 --> 00:53:55,589

 

1647
00:53:55,589 --> 00:53:58,470

 

1648
00:53:58,470 --> 00:54:00,790

 

1649
00:54:00,790 --> 00:54:03,030

 

1650
00:54:03,030 --> 00:54:05,109

 

1651
00:54:05,109 --> 00:54:06,950

 

1652
00:54:06,950 --> 00:54:09,589

 

1653
00:54:09,589 --> 00:54:11,190

 

1654
00:54:11,190 --> 00:54:14,390

 

1655
00:54:14,390 --> 00:54:16,870

 

1656
00:54:16,870 --> 00:54:18,950

 

1657
00:54:18,950 --> 00:54:21,589

 

1658
00:54:21,589 --> 00:54:23,589

 

1659
00:54:23,589 --> 00:54:25,109

 

1660
00:54:25,109 --> 00:54:28,069

 

1661
00:54:28,069 --> 00:54:29,750

 

1662
00:54:29,750 --> 00:54:31,270

 

1663
00:54:31,270 --> 00:54:33,990

 

1664
00:54:33,990 --> 00:54:35,589

 

1665
00:54:35,589 --> 00:54:37,270

 

1666
00:54:37,270 --> 00:54:38,870

 

1667
00:54:38,870 --> 00:54:41,270

 

1668
00:54:41,270 --> 00:54:43,190

 

1669
00:54:43,190 --> 00:54:44,870

 

1670
00:54:44,870 --> 00:54:44,880

 

1671
00:54:44,880 --> 00:54:47,349


1672
00:54:47,349 --> 00:54:57,270

 

1673
00:54:57,270 --> 00:55:00,309

 

1674
00:55:00,309 --> 00:55:02,069

 

1675
00:55:02,069 --> 00:55:03,589

 

1676
00:55:03,589 --> 00:55:05,670

 

1677
00:55:05,670 --> 00:55:05,680

 

1678
00:55:05,680 --> 00:55:06,549


1679
00:55:06,549 --> 00:55:08,870

 

1680
00:55:08,870 --> 00:55:08,880

 

1681
00:55:08,880 --> 00:55:10,069


1682
00:55:10,069 --> 00:55:12,069

 

1683
00:55:12,069 --> 00:55:14,309

 

1684
00:55:14,309 --> 00:55:17,670

 

1685
00:55:17,670 --> 00:55:18,950

 

1686
00:55:18,950 --> 00:55:20,390

 

1687
00:55:20,390 --> 00:55:24,069

 

1688
00:55:24,069 --> 00:55:27,190

 

1689
00:55:27,190 --> 00:55:29,750

 

1690
00:55:29,750 --> 00:55:32,549

 

1691
00:55:32,549 --> 00:55:32,559

 

1692
00:55:32,559 --> 00:55:33,589


1693
00:55:33,589 --> 00:55:35,430

 

1694
00:55:35,430 --> 00:55:38,069

 

1695
00:55:38,069 --> 00:55:38,079

 

1696
00:55:38,079 --> 00:55:39,109


1697
00:55:39,109 --> 00:55:41,990

 

1698
00:55:41,990 --> 00:55:45,750

 

1699
00:55:45,750 --> 00:55:47,910

 

1700
00:55:47,910 --> 00:55:50,150

 

1701
00:55:50,150 --> 00:55:52,390

 

1702
00:55:52,390 --> 00:55:54,789

 

1703
00:55:54,789 --> 00:55:54,799

 

1704
00:55:54,799 --> 00:55:58,950


1705
00:55:58,950 --> 00:56:01,270

 

1706
00:56:01,270 --> 00:56:03,349

 

1707
00:56:03,349 --> 00:56:05,670

 

1708
00:56:05,670 --> 00:56:07,829

 

1709
00:56:07,829 --> 00:56:11,109

 

1710
00:56:11,109 --> 00:56:12,710

 

1711
00:56:12,710 --> 00:56:14,950

 

1712
00:56:14,950 --> 00:56:17,670

 

1713
00:56:17,670 --> 00:56:19,750

 

1714
00:56:19,750 --> 00:56:21,109

 

1715
00:56:21,109 --> 00:56:22,630

 

1716
00:56:22,630 --> 00:56:24,069

 

1717
00:56:24,069 --> 00:56:26,390

 

1718
00:56:26,390 --> 00:56:26,400

 

1719
00:56:26,400 --> 00:56:28,950


1720
00:56:28,950 --> 00:56:32,789

 

1721
00:56:32,789 --> 00:56:32,799

 

1722
00:56:32,799 --> 00:56:37,109


1723
00:56:37,109 --> 00:56:40,390

 

1724
00:56:40,390 --> 00:56:42,950

 

1725
00:56:42,950 --> 00:56:46,069

 

1726
00:56:46,069 --> 00:56:47,829

 

1727
00:56:47,829 --> 00:56:49,829

 

1728
00:56:49,829 --> 00:56:51,990

 

1729
00:56:51,990 --> 00:56:53,910

 

1730
00:56:53,910 --> 00:56:55,109

 

1731
00:56:55,109 --> 00:56:56,789

 

1732
00:56:56,789 --> 00:56:58,710

 

1733
00:56:58,710 --> 00:57:01,430

 

1734
00:57:01,430 --> 00:57:04,230

 

1735
00:57:04,230 --> 00:57:05,990

 

1736
00:57:05,990 --> 00:57:08,549

 

1737
00:57:08,549 --> 00:57:11,030

 

1738
00:57:11,030 --> 00:57:13,109

 

1739
00:57:13,109 --> 00:57:14,549

 

1740
00:57:14,549 --> 00:57:16,069

 

1741
00:57:16,069 --> 00:57:18,309

 

1742
00:57:18,309 --> 00:57:19,990

 

1743
00:57:19,990 --> 00:57:21,829

 

1744
00:57:21,829 --> 00:57:23,910

 

1745
00:57:23,910 --> 00:57:26,549

 

1746
00:57:26,549 --> 00:57:28,549

 

1747
00:57:28,549 --> 00:57:30,630

 

1748
00:57:30,630 --> 00:57:31,990

 

1749
00:57:31,990 --> 00:57:34,150

 

1750
00:57:34,150 --> 00:57:36,230

 

1751
00:57:36,230 --> 00:57:37,990

 

1752
00:57:37,990 --> 00:57:41,750

 

1753
00:57:41,750 --> 00:57:43,430

 

1754
00:57:43,430 --> 00:57:45,349

 

1755
00:57:45,349 --> 00:57:47,109

 

1756
00:57:47,109 --> 00:57:47,119

 

1757
00:57:47,119 --> 00:57:48,150


1758
00:57:48,150 --> 00:57:49,589

 

1759
00:57:49,589 --> 00:57:51,190

 

1760
00:57:51,190 --> 00:57:52,950

 

1761
00:57:52,950 --> 00:57:55,829

 

1762
00:57:55,829 --> 00:57:58,390

 

1763
00:57:58,390 --> 00:57:59,589

 

1764
00:57:59,589 --> 00:58:00,789

 

1765
00:58:00,789 --> 00:58:00,799

 

1766
00:58:00,799 --> 00:58:02,150


1767
00:58:02,150 --> 00:58:04,309

 

1768
00:58:04,309 --> 00:58:04,319

 

1769
00:58:04,319 --> 00:58:05,270


1770
00:58:05,270 --> 00:58:11,990

 

1771
00:58:11,990 --> 00:58:12,000

 

1772
00:58:12,000 --> 00:58:13,109


1773
00:58:13,109 --> 00:58:13,119

 

1774
00:58:13,119 --> 00:58:14,069


1775
00:58:14,069 --> 00:58:14,079

 

1776
00:58:14,079 --> 00:58:15,270


1777
00:58:15,270 --> 00:58:17,109

 

1778
00:58:17,109 --> 00:58:18,470

 

1779
00:58:18,470 --> 00:58:20,710

 

1780
00:58:20,710 --> 00:58:22,470

 

1781
00:58:22,470 --> 00:58:23,990

 

1782
00:58:23,990 --> 00:58:25,670

 

1783
00:58:25,670 --> 00:58:28,069

 

1784
00:58:28,069 --> 00:58:28,079

 

1785
00:58:28,079 --> 00:58:29,190


1786
00:58:29,190 --> 00:58:31,430

 

1787
00:58:31,430 --> 00:58:33,430

 

1788
00:58:33,430 --> 00:58:34,829

 

1789
00:58:34,829 --> 00:58:36,789

 

1790
00:58:36,789 --> 00:58:36,799

 

1791
00:58:36,799 --> 00:58:40,710


1792
00:58:40,710 --> 00:58:42,309

 

1793
00:58:42,309 --> 00:58:44,710

 

1794
00:58:44,710 --> 00:58:46,549

 

1795
00:58:46,549 --> 00:58:49,430

 

1796
00:58:49,430 --> 00:58:52,390

 

1797
00:58:52,390 --> 00:58:55,030

 

1798
00:58:55,030 --> 00:58:58,870

 

1799
00:58:58,870 --> 00:58:58,880

 

1800
00:58:58,880 --> 00:59:00,470


1801
00:59:00,470 --> 00:59:02,870

 

1802
00:59:02,870 --> 00:59:05,109

 

1803
00:59:05,109 --> 00:59:07,430

 

1804
00:59:07,430 --> 00:59:09,829

 

1805
00:59:09,829 --> 00:59:09,839

 

1806
00:59:09,839 --> 00:59:11,270


1807
00:59:11,270 --> 00:59:12,950

 

1808
00:59:12,950 --> 00:59:14,390

 

1809
00:59:14,390 --> 00:59:15,910

 

1810
00:59:15,910 --> 00:59:18,630

 

1811
00:59:18,630 --> 00:59:20,309

 

1812
00:59:20,309 --> 00:59:22,069

 

1813
00:59:22,069 --> 00:59:22,079

 

1814
00:59:22,079 --> 00:59:22,950


1815
00:59:22,950 --> 00:59:25,670

 

1816
00:59:25,670 --> 00:59:28,069

 

1817
00:59:28,069 --> 00:59:30,470

 

1818
00:59:30,470 --> 00:59:32,870

 

1819
00:59:32,870 --> 00:59:35,030

 

1820
00:59:35,030 --> 00:59:37,190

 

1821
00:59:37,190 --> 00:59:39,109

 

1822
00:59:39,109 --> 00:59:40,789

 

1823
00:59:40,789 --> 00:59:42,549

 

1824
00:59:42,549 --> 00:59:43,990

 

1825
00:59:43,990 --> 00:59:46,870

 

1826
00:59:46,870 --> 00:59:50,390

 

1827
00:59:50,390 --> 00:59:53,349

 

1828
00:59:53,349 --> 00:59:55,510

 

1829
00:59:55,510 --> 00:59:56,789

 

1830
00:59:56,789 --> 00:59:59,109

 

1831
00:59:59,109 --> 01:00:01,430

 

1832
01:00:01,430 --> 01:00:03,430

 

1833
01:00:03,430 --> 01:00:05,589

 

1834
01:00:05,589 --> 01:00:07,750

 

1835
01:00:07,750 --> 01:00:07,760

 

1836
01:00:07,760 --> 01:00:09,270


1837
01:00:09,270 --> 01:00:09,280

 

1838
01:00:09,280 --> 01:00:10,950


1839
01:00:10,950 --> 01:00:10,960

 

1840
01:00:10,960 --> 01:00:12,069


1841
01:00:12,069 --> 01:00:14,789

 

1842
01:00:14,789 --> 01:00:14,799

 

1843
01:00:14,799 --> 01:00:15,589


1844
01:00:15,589 --> 01:00:17,750

 

1845
01:00:17,750 --> 01:00:18,950

 

1846
01:00:18,950 --> 01:00:20,390

 

1847
01:00:20,390 --> 01:00:23,270

 

1848
01:00:23,270 --> 01:00:25,670

 

1849
01:00:25,670 --> 01:00:30,309

 

1850
01:00:30,309 --> 01:00:33,349

 

1851
01:00:33,349 --> 01:00:34,950

 

1852
01:00:34,950 --> 01:00:34,960

 

1853
01:00:34,960 --> 01:00:36,630


1854
01:00:36,630 --> 01:00:39,190

 

1855
01:00:39,190 --> 01:00:41,589

 

1856
01:00:41,589 --> 01:00:43,670

 

1857
01:00:43,670 --> 01:00:44,870

 

1858
01:00:44,870 --> 01:00:46,630

 

1859
01:00:46,630 --> 01:00:48,870

 

1860
01:00:48,870 --> 01:00:50,870

 

1861
01:00:50,870 --> 01:00:53,430

 

1862
01:00:53,430 --> 01:00:53,440

 

1863
01:00:53,440 --> 01:00:54,309


1864
01:00:54,309 --> 01:00:56,789

 

1865
01:00:56,789 --> 01:00:56,799

 

1866
01:00:56,799 --> 01:00:57,750


1867
01:00:57,750 --> 01:01:00,470

 

1868
01:01:00,470 --> 01:01:02,309

 

1869
01:01:02,309 --> 01:01:02,319

 

1870
01:01:02,319 --> 01:01:03,670


1871
01:01:03,670 --> 01:01:07,109

 

1872
01:01:07,109 --> 01:01:07,119

 

1873
01:01:07,119 --> 01:01:08,230


1874
01:01:08,230 --> 01:01:10,309

 

1875
01:01:10,309 --> 01:01:12,390

 

1876
01:01:12,390 --> 01:01:15,030

 

1877
01:01:15,030 --> 01:01:16,870

 

1878
01:01:16,870 --> 01:01:20,309

 

1879
01:01:20,309 --> 01:01:21,670

 

1880
01:01:21,670 --> 01:01:26,069

 

1881
01:01:26,069 --> 01:01:26,079

 

1882
01:01:26,079 --> 01:01:28,710


1883
01:01:28,710 --> 01:01:28,720

 

1884
01:01:28,720 --> 01:01:36,710


1885
01:01:36,710 --> 01:01:40,069

 

1886
01:01:40,069 --> 01:01:40,079

 

1887
01:01:40,079 --> 01:01:41,030


1888
01:01:41,030 --> 01:01:41,040

 

1889
01:01:41,040 --> 01:01:42,309


1890
01:01:42,309 --> 01:01:43,589

 

1891
01:01:43,589 --> 01:01:47,510

 

1892
01:01:47,510 --> 01:01:49,990

 

1893
01:01:49,990 --> 01:01:51,510

 

1894
01:01:51,510 --> 01:01:53,109

 

1895
01:01:53,109 --> 01:01:54,470

 

1896
01:01:54,470 --> 01:01:56,470

 

1897
01:01:56,470 --> 01:01:57,990

 

1898
01:01:57,990 --> 01:01:59,589

 

1899
01:01:59,589 --> 01:02:01,430

 

1900
01:02:01,430 --> 01:02:03,430

 

1901
01:02:03,430 --> 01:02:05,430

 

1902
01:02:05,430 --> 01:02:07,349

 

1903
01:02:07,349 --> 01:02:08,230

 

1904
01:02:08,230 --> 01:02:09,990

 

1905
01:02:09,990 --> 01:02:11,829

 

1906
01:02:11,829 --> 01:02:13,829

 

1907
01:02:13,829 --> 01:02:15,270

 

1908
01:02:15,270 --> 01:02:16,710

 

1909
01:02:16,710 --> 01:02:18,870

 

1910
01:02:18,870 --> 01:02:21,510

 

1911
01:02:21,510 --> 01:02:23,510

 

1912
01:02:23,510 --> 01:02:25,910

 

1913
01:02:25,910 --> 01:02:27,910

 

1914
01:02:27,910 --> 01:02:29,270

 

1915
01:02:29,270 --> 01:02:31,270

 

1916
01:02:31,270 --> 01:02:33,829

 

1917
01:02:33,829 --> 01:02:35,349

 

1918
01:02:35,349 --> 01:02:35,359

 

1919
01:02:35,359 --> 01:02:37,430


1920
01:02:37,430 --> 01:02:40,510

 

1921
01:02:40,510 --> 01:02:40,520

 

1922
01:02:40,520 --> 01:02:42,470


1923
01:02:42,470 --> 01:02:44,390

 

1924
01:02:44,390 --> 01:02:46,470

 

1925
01:02:46,470 --> 01:02:48,069

 

1926
01:02:48,069 --> 01:02:50,309

 

1927
01:02:50,309 --> 01:02:52,789

 

1928
01:02:52,789 --> 01:02:54,309

 

1929
01:02:54,309 --> 01:02:56,630

 

1930
01:02:56,630 --> 01:02:59,029

 

1931
01:02:59,029 --> 01:03:00,549

 

1932
01:03:00,549 --> 01:03:01,910

 

1933
01:03:01,910 --> 01:03:03,910

 

1934
01:03:03,910 --> 01:03:03,920

 

1935
01:03:03,920 --> 01:03:04,789


1936
01:03:04,789 --> 01:03:06,470

 

1937
01:03:06,470 --> 01:03:08,549

 

1938
01:03:08,549 --> 01:03:10,630

 

1939
01:03:10,630 --> 01:03:13,029

 

1940
01:03:13,029 --> 01:03:14,230

 

1941
01:03:14,230 --> 01:03:16,950

 

1942
01:03:16,950 --> 01:03:18,789

 

1943
01:03:18,789 --> 01:03:20,630

 

1944
01:03:20,630 --> 01:03:23,270

 

1945
01:03:23,270 --> 01:03:25,029

 

1946
01:03:25,029 --> 01:03:27,510

 

1947
01:03:27,510 --> 01:03:31,029

 

1948
01:03:31,029 --> 01:03:33,029

 

1949
01:03:33,029 --> 01:03:35,430

 

1950
01:03:35,430 --> 01:03:38,069

 

1951
01:03:38,069 --> 01:03:39,510

 

1952
01:03:39,510 --> 01:03:41,589

 

1953
01:03:41,589 --> 01:03:41,599

 

1954
01:03:41,599 --> 01:03:43,109


1955
01:03:43,109 --> 01:03:45,430

 

1956
01:03:45,430 --> 01:03:48,870

 

1957
01:03:48,870 --> 01:03:51,270

 

1958
01:03:51,270 --> 01:03:51,280

 

1959
01:03:51,280 --> 01:03:52,549


1960
01:03:52,549 --> 01:03:52,559

 

1961
01:03:52,559 --> 01:03:53,510


1962
01:03:53,510 --> 01:03:55,430

 

1963
01:03:55,430 --> 01:03:58,309

 

1964
01:03:58,309 --> 01:04:00,069

 

1965
01:04:00,069 --> 01:04:01,510

 

1966
01:04:01,510 --> 01:04:03,589

 

1967
01:04:03,589 --> 01:04:05,990

 

1968
01:04:05,990 --> 01:04:07,349

 

1969
01:04:07,349 --> 01:04:07,359

 

1970
01:04:07,359 --> 01:04:08,390


1971
01:04:08,390 --> 01:04:10,309

 

1972
01:04:10,309 --> 01:04:13,349

 

1973
01:04:13,349 --> 01:04:16,710

 

1974
01:04:16,710 --> 01:04:19,109

 

1975
01:04:19,109 --> 01:04:23,430

 

1976
01:04:23,430 --> 01:04:25,270

 

1977
01:04:25,270 --> 01:04:29,190

 

1978
01:04:29,190 --> 01:04:31,750

 

1979
01:04:31,750 --> 01:04:33,270

 

1980
01:04:33,270 --> 01:04:35,589

 

1981
01:04:35,589 --> 01:04:37,109

 

1982
01:04:37,109 --> 01:04:40,230

 

1983
01:04:40,230 --> 01:04:43,029

 

1984
01:04:43,029 --> 01:04:45,190

 

1985
01:04:45,190 --> 01:04:47,750

 

1986
01:04:47,750 --> 01:04:49,910

 

1987
01:04:49,910 --> 01:04:51,109

 

1988
01:04:51,109 --> 01:04:53,510

 

1989
01:04:53,510 --> 01:04:55,190

 

1990
01:04:55,190 --> 01:04:57,029

 

1991
01:04:57,029 --> 01:04:57,039

 

1992
01:04:57,039 --> 01:04:59,349


1993
01:04:59,349 --> 01:05:01,270

 

1994
01:05:01,270 --> 01:05:02,789

 

1995
01:05:02,789 --> 01:05:04,710

 

1996
01:05:04,710 --> 01:05:07,029

 

1997
01:05:07,029 --> 01:05:10,470

 

1998
01:05:10,470 --> 01:05:12,950

 

1999
01:05:12,950 --> 01:05:12,960

 

2000
01:05:12,960 --> 01:05:13,829


2001
01:05:13,829 --> 01:05:16,870

 

2002
01:05:16,870 --> 01:05:19,510

 

2003
01:05:19,510 --> 01:05:21,109

 

2004
01:05:21,109 --> 01:05:21,119

 

2005
01:05:21,119 --> 01:05:25,670


2006
01:05:25,670 --> 01:05:28,069

 

2007
01:05:28,069 --> 01:05:28,079

 

2008
01:05:28,079 --> 01:05:30,390


2009
01:05:30,390 --> 01:05:32,150

 

2010
01:05:32,150 --> 01:05:34,470

 

2011
01:05:34,470 --> 01:05:36,470

 

2012
01:05:36,470 --> 01:05:38,150

 

2013
01:05:38,150 --> 01:05:39,670

 

2014
01:05:39,670 --> 01:05:44,390

 

2015
01:05:44,390 --> 01:05:44,400

 

2016
01:05:44,400 --> 01:05:45,750


2017
01:05:45,750 --> 01:05:47,990

 

2018
01:05:47,990 --> 01:05:51,829

 

2019
01:05:51,829 --> 01:05:55,109

 

2020
01:05:55,109 --> 01:05:58,309

 

2021
01:05:58,309 --> 01:05:59,910

 

2022
01:05:59,910 --> 01:05:59,920

 

2023
01:05:59,920 --> 01:06:01,829


2024
01:06:01,829 --> 01:06:01,839

 

2025
01:06:01,839 --> 01:06:02,710


2026
01:06:02,710 --> 01:06:05,829

 

2027
01:06:05,829 --> 01:06:07,430

 

2028
01:06:07,430 --> 01:06:08,950

 

2029
01:06:08,950 --> 01:06:12,630

 

2030
01:06:12,630 --> 01:06:12,640

 

2031
01:06:12,640 --> 01:06:14,549


2032
01:06:14,549 --> 01:06:17,270

 

2033
01:06:17,270 --> 01:06:17,280

 

2034
01:06:17,280 --> 01:06:18,630


2035
01:06:18,630 --> 01:06:20,710

 

2036
01:06:20,710 --> 01:06:22,710

 

2037
01:06:22,710 --> 01:06:26,390

 

2038
01:06:26,390 --> 01:06:30,789

 

2039
01:06:30,789 --> 01:06:33,109

 

2040
01:06:33,109 --> 01:06:36,230

 

2041
01:06:36,230 --> 01:06:38,309

 

2042
01:06:38,309 --> 01:06:42,549

 

2043
01:06:42,549 --> 01:06:45,190

 

2044
01:06:45,190 --> 01:06:48,870

 

2045
01:06:48,870 --> 01:06:50,710

 

2046
01:06:50,710 --> 01:06:50,720

 

2047
01:06:50,720 --> 01:06:51,750


2048
01:06:51,750 --> 01:06:53,029

 

2049
01:06:53,029 --> 01:06:55,029

 

2050
01:06:55,029 --> 01:06:57,510

 

2051
01:06:57,510 --> 01:06:59,270

 

2052
01:06:59,270 --> 01:07:01,670

 

2053
01:07:01,670 --> 01:07:03,029

 

2054
01:07:03,029 --> 01:07:05,270

 

2055
01:07:05,270 --> 01:07:07,589

 

2056
01:07:07,589 --> 01:07:09,510

 

2057
01:07:09,510 --> 01:07:12,470

 

2058
01:07:12,470 --> 01:07:14,950

 

2059
01:07:14,950 --> 01:07:16,549

 

2060
01:07:16,549 --> 01:07:17,990

 

2061
01:07:17,990 --> 01:07:20,309

 

2062
01:07:20,309 --> 01:07:20,319

 

2063
01:07:20,319 --> 01:07:21,829


2064
01:07:21,829 --> 01:07:23,190

 

2065
01:07:23,190 --> 01:07:25,270

 

2066
01:07:25,270 --> 01:07:27,510

 

2067
01:07:27,510 --> 01:07:28,870

 

2068
01:07:28,870 --> 01:07:30,150

 

2069
01:07:30,150 --> 01:07:31,670

 

2070
01:07:31,670 --> 01:07:34,789

 

2071
01:07:34,789 --> 01:07:37,029

 

2072
01:07:37,029 --> 01:07:38,710

 

2073
01:07:38,710 --> 01:07:39,910

 

2074
01:07:39,910 --> 01:07:42,870

 

2075
01:07:42,870 --> 01:07:44,390

 

2076
01:07:44,390 --> 01:07:48,230

 

2077
01:07:48,230 --> 01:07:50,950

 

2078
01:07:50,950 --> 01:07:53,270

 

2079
01:07:53,270 --> 01:07:54,710

 

2080
01:07:54,710 --> 01:07:56,789

 

2081
01:07:56,789 --> 01:08:00,470

 

2082
01:08:00,470 --> 01:08:03,430

 

2083
01:08:03,430 --> 01:08:03,440

 

2084
01:08:03,440 --> 01:08:04,230


2085
01:08:04,230 --> 01:08:06,150

 

2086
01:08:06,150 --> 01:08:08,069

 

2087
01:08:08,069 --> 01:08:10,230

 

2088
01:08:10,230 --> 01:08:12,069

 

2089
01:08:12,069 --> 01:08:14,789

 

2090
01:08:14,789 --> 01:08:16,950

 

2091
01:08:16,950 --> 01:08:19,110

 

2092
01:08:19,110 --> 01:08:20,630

 

2093
01:08:20,630 --> 01:08:23,349

 

2094
01:08:23,349 --> 01:08:24,630

 

2095
01:08:24,630 --> 01:08:25,910

 

2096
01:08:25,910 --> 01:08:27,990

 

2097
01:08:27,990 --> 01:08:31,269

 

2098
01:08:31,269 --> 01:08:34,309

 

2099
01:08:34,309 --> 01:08:39,189

 

2100
01:08:39,189 --> 01:08:39,199

 

2101
01:08:39,199 --> 01:08:40,149


2102
01:08:40,149 --> 01:08:41,829

 

2103
01:08:41,829 --> 01:08:41,839

 

2104
01:08:41,839 --> 01:08:42,870


2105
01:08:42,870 --> 01:08:45,910

 

2106
01:08:45,910 --> 01:08:48,149

 

2107
01:08:48,149 --> 01:08:51,269

 

2108
01:08:51,269 --> 01:08:52,789

 

2109
01:08:52,789 --> 01:08:55,430

 

2110
01:08:55,430 --> 01:08:57,189

 

2111
01:08:57,189 --> 01:08:58,470

 

2112
01:08:58,470 --> 01:09:00,070

 

2113
01:09:00,070 --> 01:09:03,590

 

2114
01:09:03,590 --> 01:09:04,870

 

2115
01:09:04,870 --> 01:09:07,110

 

2116
01:09:07,110 --> 01:09:07,120

 

2117
01:09:07,120 --> 01:09:08,070


2118
01:09:08,070 --> 01:09:10,229

 

2119
01:09:10,229 --> 01:09:12,470

 

2120
01:09:12,470 --> 01:09:12,480

 

2121
01:09:12,480 --> 01:09:13,189


2122
01:09:13,189 --> 01:09:15,349

 

2123
01:09:15,349 --> 01:09:17,349

 

2124
01:09:17,349 --> 01:09:22,390

 

2125
01:09:22,390 --> 01:09:24,550

 

2126
01:09:24,550 --> 01:09:27,430

 

2127
01:09:27,430 --> 01:09:30,709

 

2128
01:09:30,709 --> 01:09:30,719

 

2129
01:09:30,719 --> 01:09:34,229


2130
01:09:34,229 --> 01:09:34,239

 

2131
01:09:34,239 --> 01:09:36,070


2132
01:09:36,070 --> 01:09:36,080

 

2133
01:09:36,080 --> 01:09:38,789


2134
01:09:38,789 --> 01:09:40,870

 

2135
01:09:40,870 --> 01:09:43,590

 

2136
01:09:43,590 --> 01:09:43,600

 

2137
01:09:43,600 --> 01:09:45,829


2138
01:09:45,829 --> 01:09:45,839

 

2139
01:09:45,839 --> 01:09:46,950


2140
01:09:46,950 --> 01:09:49,110

 

2141
01:09:49,110 --> 01:09:53,430

 

2142
01:09:53,430 --> 01:09:53,440

 

2143
01:09:53,440 --> 01:09:54,310


2144
01:09:54,310 --> 01:09:56,709

 

2145
01:09:56,709 --> 01:09:57,790

 

2146
01:09:57,790 --> 01:10:00,630

 

2147
01:10:00,630 --> 01:10:03,110

 

2148
01:10:03,110 --> 01:10:04,709

 

2149
01:10:04,709 --> 01:10:05,669

 

2150
01:10:05,669 --> 01:10:05,679

 

2151
01:10:05,679 --> 01:10:07,189


2152
01:10:07,189 --> 01:10:09,830

 

2153
01:10:09,830 --> 01:10:11,750

 

2154
01:10:11,750 --> 01:10:11,760

 

2155
01:10:11,760 --> 01:10:13,030


2156
01:10:13,030 --> 01:10:15,110

 

2157
01:10:15,110 --> 01:10:17,830

 

2158
01:10:17,830 --> 01:10:19,910

 

2159
01:10:19,910 --> 01:10:22,390

 

2160
01:10:22,390 --> 01:10:28,229

 

2161
01:10:28,229 --> 01:10:30,229

 

2162
01:10:30,229 --> 01:10:31,350

 

2163
01:10:31,350 --> 01:10:35,990

 

2164
01:10:35,990 --> 01:10:37,910

 

2165
01:10:37,910 --> 01:10:39,430

 

2166
01:10:39,430 --> 01:10:42,390

 

2167
01:10:42,390 --> 01:10:44,390

 

2168
01:10:44,390 --> 01:10:47,750

 

2169
01:10:47,750 --> 01:10:50,229

 

2170
01:10:50,229 --> 01:10:51,830

 

2171
01:10:51,830 --> 01:10:55,189

 

2172
01:10:55,189 --> 01:10:57,669

 

2173
01:10:57,669 --> 01:11:00,470

 

2174
01:11:00,470 --> 01:11:02,790

 

2175
01:11:02,790 --> 01:11:04,550

 

2176
01:11:04,550 --> 01:11:04,560

 

2177
01:11:04,560 --> 01:11:05,590


2178
01:11:05,590 --> 01:11:08,149

 

2179
01:11:08,149 --> 01:11:11,030

 

2180
01:11:11,030 --> 01:11:12,550

 

2181
01:11:12,550 --> 01:11:14,790

 

2182
01:11:14,790 --> 01:11:17,990

 

2183
01:11:17,990 --> 01:11:19,270

 

2184
01:11:19,270 --> 01:11:21,510

 

2185
01:11:21,510 --> 01:11:23,510

 

2186
01:11:23,510 --> 01:11:25,669

 

2187
01:11:25,669 --> 01:11:25,679

 

2188
01:11:25,679 --> 01:11:26,630


2189
01:11:26,630 --> 01:11:28,790

 

2190
01:11:28,790 --> 01:11:30,470

 

2191
01:11:30,470 --> 01:11:31,669

 

2192
01:11:31,669 --> 01:11:33,669

 

2193
01:11:33,669 --> 01:11:36,390

 

2194
01:11:36,390 --> 01:11:38,709

 

2195
01:11:38,709 --> 01:11:40,470

 

2196
01:11:40,470 --> 01:11:42,310

 

2197
01:11:42,310 --> 01:11:45,030

 

2198
01:11:45,030 --> 01:11:46,709

 

2199
01:11:46,709 --> 01:11:48,310

 

2200
01:11:48,310 --> 01:11:50,630

 

2201
01:11:50,630 --> 01:11:52,630

 

2202
01:11:52,630 --> 01:11:55,110

 

2203
01:11:55,110 --> 01:11:57,910

 

2204
01:11:57,910 --> 01:12:02,470

 

2205
01:12:02,470 --> 01:12:05,910

 

2206
01:12:05,910 --> 01:12:08,630

 

2207
01:12:08,630 --> 01:12:08,640

 

2208
01:12:08,640 --> 01:12:09,430


2209
01:12:09,430 --> 01:12:09,440

 

2210
01:12:09,440 --> 01:12:11,189


2211
01:12:11,189 --> 01:12:13,350

 

2212
01:12:13,350 --> 01:12:16,310

 

2213
01:12:16,310 --> 01:12:16,320

 

2214
01:12:16,320 --> 01:12:17,350


2215
01:12:17,350 --> 01:12:19,750

 

2216
01:12:19,750 --> 01:12:23,430

 

2217
01:12:23,430 --> 01:12:25,350

 

2218
01:12:25,350 --> 01:12:27,990

 

2219
01:12:27,990 --> 01:12:31,350

 

2220
01:12:31,350 --> 01:12:33,350

 

2221
01:12:33,350 --> 01:12:36,310

 

2222
01:12:36,310 --> 01:12:36,320

 

2223
01:12:36,320 --> 01:12:37,430


2224
01:12:37,430 --> 01:12:37,440

 

2225
01:12:37,440 --> 01:12:40,070


2226
01:12:40,070 --> 01:12:43,430

 

2227
01:12:43,430 --> 01:12:44,790

 

2228
01:12:44,790 --> 01:12:47,669

 

2229
01:12:47,669 --> 01:12:50,149

 

2230
01:12:50,149 --> 01:12:51,750

 

2231
01:12:51,750 --> 01:12:53,830

 

2232
01:12:53,830 --> 01:12:57,189

 

2233
01:12:57,189 --> 01:12:59,350

 

2234
01:12:59,350 --> 01:13:01,110

 

2235
01:13:01,110 --> 01:13:03,270

 

2236
01:13:03,270 --> 01:13:05,270

 

2237
01:13:05,270 --> 01:13:05,280

 

2238
01:13:05,280 --> 01:13:07,030


2239
01:13:07,030 --> 01:13:08,310

 

2240
01:13:08,310 --> 01:13:08,320

 

2241
01:13:08,320 --> 01:13:09,510


2242
01:13:09,510 --> 01:13:13,590

 

2243
01:13:13,590 --> 01:13:16,229

 

2244
01:13:16,229 --> 01:13:18,390

 

2245
01:13:18,390 --> 01:13:20,630

 

2246
01:13:20,630 --> 01:13:23,830

 

2247
01:13:23,830 --> 01:13:27,189

 

2248
01:13:27,189 --> 01:13:28,870

 

2249
01:13:28,870 --> 01:13:30,950

 

2250
01:13:30,950 --> 01:13:33,350

 

2251
01:13:33,350 --> 01:13:35,510

 

2252
01:13:35,510 --> 01:13:37,990

 

2253
01:13:37,990 --> 01:13:40,229

 

2254
01:13:40,229 --> 01:13:42,550

 

2255
01:13:42,550 --> 01:13:42,560

 

2256
01:13:42,560 --> 01:13:43,510


2257
01:13:43,510 --> 01:13:45,669

 

2258
01:13:45,669 --> 01:13:47,350

 

2259
01:13:47,350 --> 01:13:50,470

 

2260
01:13:50,470 --> 01:13:53,110

 

2261
01:13:53,110 --> 01:13:53,120

 

2262
01:13:53,120 --> 01:13:54,709


2263
01:13:54,709 --> 01:13:56,149

 

2264
01:13:56,149 --> 01:13:57,110

 

2265
01:13:57,110 --> 01:13:58,790

 

2266
01:13:58,790 --> 01:14:00,870

 

2267
01:14:00,870 --> 01:14:03,510

 

2268
01:14:03,510 --> 01:14:05,590

 

2269
01:14:05,590 --> 01:14:07,430

 

2270
01:14:07,430 --> 01:14:08,709

 

2271
01:14:08,709 --> 01:14:08,719

 

2272
01:14:08,719 --> 01:14:09,669


2273
01:14:09,669 --> 01:14:11,430

 

2274
01:14:11,430 --> 01:14:14,470

 

2275
01:14:14,470 --> 01:14:17,270

 

2276
01:14:17,270 --> 01:14:19,270

 

2277
01:14:19,270 --> 01:14:21,030

 

2278
01:14:21,030 --> 01:14:24,149

 

2279
01:14:24,149 --> 01:14:25,590

 

2280
01:14:25,590 --> 01:14:28,390

 

2281
01:14:28,390 --> 01:14:31,750

 

2282
01:14:31,750 --> 01:14:31,760

 

2283
01:14:31,760 --> 01:14:35,990


2284
01:14:35,990 --> 01:14:39,270

 

2285
01:14:39,270 --> 01:14:39,280

 

2286
01:14:39,280 --> 01:14:43,750


2287
01:14:43,750 --> 01:14:45,350

 

2288
01:14:45,350 --> 01:14:52,070

 

2289
01:14:52,070 --> 01:14:55,189

 

2290
01:14:55,189 --> 01:14:55,199

 

2291
01:14:55,199 --> 01:14:56,790


2292
01:14:56,790 --> 01:14:58,630

 

2293
01:14:58,630 --> 01:15:01,189

 

2294
01:15:01,189 --> 01:15:02,950

 

2295
01:15:02,950 --> 01:15:02,960

 

2296
01:15:02,960 --> 01:15:04,070


2297
01:15:04,070 --> 01:15:04,080

 

2298
01:15:04,080 --> 01:15:05,110


2299
01:15:05,110 --> 01:15:07,510

 

2300
01:15:07,510 --> 01:15:07,520

 

2301
01:15:07,520 --> 01:15:08,709


2302
01:15:08,709 --> 01:15:11,189

 

2303
01:15:11,189 --> 01:15:12,870

 

2304
01:15:12,870 --> 01:15:12,880

 

2305
01:15:12,880 --> 01:15:13,910


2306
01:15:13,910 --> 01:15:15,830

 

2307
01:15:15,830 --> 01:15:17,350

 

2308
01:15:17,350 --> 01:15:18,709

 

2309
01:15:18,709 --> 01:15:20,470

 

2310
01:15:20,470 --> 01:15:22,830

 

2311
01:15:22,830 --> 01:15:25,830

 

2312
01:15:25,830 --> 01:15:27,910

 

2313
01:15:27,910 --> 01:15:27,920

 

2314
01:15:27,920 --> 01:15:28,870


2315
01:15:28,870 --> 01:15:28,880

 

2316
01:15:28,880 --> 01:15:30,790


2317
01:15:30,790 --> 01:15:33,350

 

2318
01:15:33,350 --> 01:15:35,669

 

2319
01:15:35,669 --> 01:15:40,630

 

2320
01:15:40,630 --> 01:15:44,229

 

2321
01:15:44,229 --> 01:15:47,510

 

2322
01:15:47,510 --> 01:15:49,910

 

2323
01:15:49,910 --> 01:15:52,149

 

2324
01:15:52,149 --> 01:15:54,390

 

2325
01:15:54,390 --> 01:15:56,630

 

2326
01:15:56,630 --> 01:15:59,910

 

2327
01:15:59,910 --> 01:16:02,550

 

2328
01:16:02,550 --> 01:16:02,560

 

2329
01:16:02,560 --> 01:16:03,350


2330
01:16:03,350 --> 01:16:04,870

 

2331
01:16:04,870 --> 01:16:06,950

 

2332
01:16:06,950 --> 01:16:08,550

 

2333
01:16:08,550 --> 01:16:10,470

 

2334
01:16:10,470 --> 01:16:12,470

 

2335
01:16:12,470 --> 01:16:13,510

 

2336
01:16:13,510 --> 01:16:15,350

 

2337
01:16:15,350 --> 01:16:17,189

 

2338
01:16:17,189 --> 01:16:18,630

 

2339
01:16:18,630 --> 01:16:21,030

 

2340
01:16:21,030 --> 01:16:21,040

 

2341
01:16:21,040 --> 01:16:22,390


2342
01:16:22,390 --> 01:16:24,310

 

2343
01:16:24,310 --> 01:16:27,030

 

2344
01:16:27,030 --> 01:16:29,830

 

2345
01:16:29,830 --> 01:16:29,840

 

2346
01:16:29,840 --> 01:16:31,189


2347
01:16:31,189 --> 01:16:32,790

 

2348
01:16:32,790 --> 01:16:35,030

 

2349
01:16:35,030 --> 01:16:37,510

 

2350
01:16:37,510 --> 01:16:38,870

 

2351
01:16:38,870 --> 01:16:41,270

 

2352
01:16:41,270 --> 01:16:43,590

 

2353
01:16:43,590 --> 01:16:45,910

 

2354
01:16:45,910 --> 01:16:48,709

 

2355
01:16:48,709 --> 01:16:48,719

 

2356
01:16:48,719 --> 01:16:51,830


2357
01:16:51,830 --> 01:16:51,840

 

2358
01:16:51,840 --> 01:16:52,709


2359
01:16:52,709 --> 01:16:54,709

 

2360
01:16:54,709 --> 01:16:55,590

 

2361
01:16:55,590 --> 01:16:56,870

 

2362
01:16:56,870 --> 01:16:59,510

 

2363
01:16:59,510 --> 01:16:59,520

 

2364
01:16:59,520 --> 01:17:00,470


2365
01:17:00,470 --> 01:17:02,550

 

2366
01:17:02,550 --> 01:17:04,950

 

2367
01:17:04,950 --> 01:17:07,189

 

2368
01:17:07,189 --> 01:17:09,990

 

2369
01:17:09,990 --> 01:17:10,000

 

2370
01:17:10,000 --> 01:17:11,750


2371
01:17:11,750 --> 01:17:13,910

 

2372
01:17:13,910 --> 01:17:16,229

 

2373
01:17:16,229 --> 01:17:18,550

 

2374
01:17:18,550 --> 01:17:21,110

 

2375
01:17:21,110 --> 01:17:23,430

 

2376
01:17:23,430 --> 01:17:26,390

 

2377
01:17:26,390 --> 01:17:29,590

 

2378
01:17:29,590 --> 01:17:32,950

 

2379
01:17:32,950 --> 01:17:35,750

 

2380
01:17:35,750 --> 01:17:37,669

 

2381
01:17:37,669 --> 01:17:40,870

 

2382
01:17:40,870 --> 01:17:43,030

 

2383
01:17:43,030 --> 01:17:44,630

 

2384
01:17:44,630 --> 01:17:46,310

 

2385
01:17:46,310 --> 01:17:49,510

 

2386
01:17:49,510 --> 01:17:51,350

 

2387
01:17:51,350 --> 01:17:52,870

 

2388
01:17:52,870 --> 01:17:55,910

 

2389
01:17:55,910 --> 01:17:57,270

 

2390
01:17:57,270 --> 01:17:59,270

 

2391
01:17:59,270 --> 01:18:01,350

 

2392
01:18:01,350 --> 01:18:03,189

 

2393
01:18:03,189 --> 01:18:05,189

 

2394
01:18:05,189 --> 01:18:07,189

 

2395
01:18:07,189 --> 01:18:09,669

 

2396
01:18:09,669 --> 01:18:13,270

 

2397
01:18:13,270 --> 01:18:15,350

 

2398
01:18:15,350 --> 01:18:16,870

 

2399
01:18:16,870 --> 01:18:19,590

 

2400
01:18:19,590 --> 01:18:23,110

 

2401
01:18:23,110 --> 01:18:24,950

 

2402
01:18:24,950 --> 01:18:28,390

 

2403
01:18:28,390 --> 01:18:28,400

 

2404
01:18:28,400 --> 01:18:29,350


2405
01:18:29,350 --> 01:18:31,270

 

2406
01:18:31,270 --> 01:18:34,390

 

2407
01:18:34,390 --> 01:18:36,470

 

2408
01:18:36,470 --> 01:18:36,480

 

2409
01:18:36,480 --> 01:18:37,430


2410
01:18:37,430 --> 01:18:40,070

 

2411
01:18:40,070 --> 01:18:41,270

 

2412
01:18:41,270 --> 01:18:43,510

 

2413
01:18:43,510 --> 01:18:43,520

 

2414
01:18:43,520 --> 01:18:45,110


2415
01:18:45,110 --> 01:18:47,669

 

2416
01:18:47,669 --> 01:18:47,679

 

2417
01:18:47,679 --> 01:18:52,390


2418
01:18:52,390 --> 01:18:54,709

 

2419
01:18:54,709 --> 01:18:57,830

 

2420
01:18:57,830 --> 01:19:00,470

 

2421
01:19:00,470 --> 01:19:01,910

 

2422
01:19:01,910 --> 01:19:04,149

 

2423
01:19:04,149 --> 01:19:05,750

 

2424
01:19:05,750 --> 01:19:07,990

 

2425
01:19:07,990 --> 01:19:09,510

 

2426
01:19:09,510 --> 01:19:11,750

 

2427
01:19:11,750 --> 01:19:11,760

 

2428
01:19:11,760 --> 01:19:12,950


2429
01:19:12,950 --> 01:19:15,510

 

2430
01:19:15,510 --> 01:19:17,590

 

2431
01:19:17,590 --> 01:19:17,600

 

2432
01:19:17,600 --> 01:19:17,890


2433
01:19:17,890 --> 01:19:17,900

 

2434
01:19:17,900 --> 01:19:19,430


2435
01:19:19,430 --> 01:19:22,310

 

2436
01:19:22,310 --> 01:19:24,550

 

2437
01:19:24,550 --> 01:19:25,910

 

2438
01:19:25,910 --> 01:19:27,590

 

2439
01:19:27,590 --> 01:19:29,830

 

2440
01:19:29,830 --> 01:19:31,669

 

2441
01:19:31,669 --> 01:19:34,149

 

2442
01:19:34,149 --> 01:19:34,159

 

2443
01:19:34,159 --> 01:19:35,110


2444
01:19:35,110 --> 01:19:38,470

 

2445
01:19:38,470 --> 01:19:40,149

 

2446
01:19:40,149 --> 01:19:41,750

 

2447
01:19:41,750 --> 01:19:41,760

 

2448
01:19:41,760 --> 01:19:42,790


2449
01:19:42,790 --> 01:19:44,630

 

2450
01:19:44,630 --> 01:19:47,030

 

2451
01:19:47,030 --> 01:19:49,030

 

2452
01:19:49,030 --> 01:19:51,270

 

2453
01:19:51,270 --> 01:19:53,430

 

2454
01:19:53,430 --> 01:19:55,669

 

2455
01:19:55,669 --> 01:20:09,189

 

2456
01:20:09,189 --> 01:20:09,199

 

2457
01:20:09,199 --> 01:20:11,280