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>> [MUSIC PLAYING]

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>> DOUG LLOYD: OK, ita a merge
Est autem et alia huiusmodi algorithm

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uti possumus exstat
an array elementorum.

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Sed videbimus, suus 'got
ipsa fundamentalis differentia

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de Selectionem modi, bulla
modi, insertionem quaedam, et

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facere tamen satis argute reperta.

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>> Basic idea post merge
huiusmodi est minor exstat vestit

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et deinde miscent illis vestit
simul aut merge them--

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inde name-- in sorted ordinem.

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Viam ut merge sort facit
hoc est a tool leveraging

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recursion dicitur, quod est
erant 'iens loqui de me cito

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Sed non sumus locuti.

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>> Lorem prima idea merge sort.

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Sort sinistris acie
I n si maior sit.

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Et dico quod dico
I n si maior est,

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Puto quod consentaneum exercitu
solum consistit unius elementi

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suus 'sorted.

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Nos non egemus
ut quippiam inhoneste ageret cum ea.

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Sicut possumus indicare replent.

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Sed una res.

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>> Ita pseudocode iterum
exstat sinistram dimidium acie

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tunc exstat ius dimidium aciem
tunc merge in duas medietates simul.

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Nunc iam vos divites essetis
ratus, id genus iustus

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sonat sis velox est depositio the--
tu aliquid actu.

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Dicens vestri 'sort a sinistris
dataque dextra parte exstat,

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sed vestri 'non dico
me tibi discis.

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>> Sed identidem hoc animo quamdiu
aciem elementum sit unum,

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nos indicet illum in sorted.

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Itaque cogenda pos sunt.

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Et quod suus 'actu
notionem principalem decurrendum post merge sort,

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rumpentibus ut sit
tuum vestit sunt molis unius.

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Deinde hinc aedificent.

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>> Merge sort est certus
a complicated algorithm.

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Et suus 'quoque a little
complicatas visualize.

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Sic hopefully, in visualization ut
hic tibi proderit sequuntur.

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Et ipse studeo sine narrate omnia experiar
sicque per hoc paulo

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altera tardius ones
hopefully sicut ad adepto in capite tuo

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circa ideas post merge huiusmodi.

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>> Ita instruxit aciem, ut idem
alia voluptua algorithm videos

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si vidi them--
a sex elementum ordinata.

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Et nostrum pseudocode codice hic est sort
sinistram dimidium, exstat ius dimidium

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merge in duas medietates simul.

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Sic lets 'hoc caligo tene laterem red
cura penum struere et sinistram dimidium exstat.

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>> Ut tempus, erant 'iens
ignorare ius effercio.

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Suus ', sed nos
non eo tamen ego morsque dividimur.

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At non sumus modi
ius dimidium, in aciem.

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Nos ad huiusmodi sinistram
media acie.

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Et justum propter
quod paulo

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patet, et ideo non possum refer
quod ego morsque dividimur nos in fluctu,

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Im 'iens ut switch
ad aureum colorem isto.

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Nunc sumus adhuc loquitur
prima acie ipse sinistram dimidium.

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At ego posse ut per
refer ad colores variis items,

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Faciam quod paulo
patet quid ibi agatur.

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>> OK, ita nunc habemus
tres elementum ordinata.

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Quomodo exstat sinistram dimidium
aciem, quae tamen ad gradum?

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Lorem conatur exstat sinistram
dimidium lateris red spectare

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sinistram dimidium quod
Ive 'nunc coloris aurantii edit.

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>> Bene posset conari
Repetere hoc processus iterum.

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Ita haerent adhuc in
medium trying exstat

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sinistram dimidium ordinata.

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Sinistram dimidium
array, Im 'iustus iens

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in arbitrio statuere sinistris
dimidio minor recto,

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quia hoc etiam ad
constare ex tribus elementis redditus extat.

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>> Im 'iens ut quod
sinistram dimidium ordinata sinistris

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iustum est elementum quinque.

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Quinque, sit unicum elementum
aciem quam sciamus quale sit.

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Et quinque est sorted.

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Erant 'iustus iens pro contione testatus est.

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Praesent elementum unum ordinata.

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>> Sic weve nunc elegerunt
sinistram dimidiam partem sinistram half--

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imo diximus elegerunt
sinistram dimidium aurantii edit.

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Quam ob rem, ut perfectum
altiore array sinistram dimidium,

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exstat ius dimidium egemus
coloris aurei, aut domi.

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Quomodo nos facere quod?

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Bene habemus duas elementum ordinata.

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Considerari ergo potest exstat sinistram dimidium
acie ejus duo.

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Duobus est unum elementum.

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Sic suus 'sorted per defaltam.
Tum vero exstat ius dimidium

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portionis acie primum.

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Hoc modo per defaltam.

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>> Hoc nunc primum
merge gradum pervenit eget.

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Nos quintum aetatis annum expleverint, licet
nunc sumus genus fecerunt nidos succisi

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hoc genere furta et
rem recursion est,

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vos postulo ut custodiant tuae
caput ubi sumus.

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Sic quaedam inest sinistram
dimidium aurantii edit partem.

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>> Nunc sumus in medio voluptua
in dextera pars rhoncus.

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In processu autem
nunc esse in gradu

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merge in duas medietates simul.

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Si autem attendamus ad utram
acie videmus duos.

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Quod elementum est minor?

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Unum.

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>> Deinde, utra pars est minor?

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Atqui duo minuta aut nihil.

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Sic suus 'duo.

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Quam ob rem, iterum iustus ad frame
ubi sumus in contextu,

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we have elegerunt
sinistram dimidium aurantii

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et dextera originem.

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Scio ego mutata colores
iterum, nisi ubi essemus agnoscere.

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Et ratio mearum feci hoc
est quia ille modus est

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iens ut custodiant eundo, iterando descendit.

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Weve 'sorted sinistram
dimidium prioris aurantiaco

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et dextera illius rhoncus.

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>> Nunc opus iungi illas
duas medietates simul etiam.

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Ut 'step sumus on.

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Sic intuere in omnia de
elementorum etiam nunc viridis,

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sinistram dimidium originale ordinata.

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Nos merge illis
uti eodem processu cognoscendae

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fecimus pro bus duobus
et iustum modo.

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>> Sinistram dimidium, minima
elementum quinque a sinistris.

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Minima elementum in
ius dimidium Compar sit laudatio.

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Quod eorum sit minor?

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Unum.

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>> Minima elementum in
sinistram dimidium quinque.

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Minima elementum in
ius dimidium est duo.

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Quod minimum?

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Duo.

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Et tunc demum quinque
nec potest dici quinque.

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>> OK, ita magnus picture eamus
take a effrego parumper secundo

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et instar sicco qua sumus.

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Si tamen initium ab
in ipso initio,

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nunc coeperint impleri in
aciem altiore iustum

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pseudocode codice hic uno gradu.

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Nos elegerunt
sinistram dimidium, in aciem.

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>> Memini originali
ordo quinque, duo ad unum.

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Et sic per hoc processu
et commorantes et repetens,

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perdurantes ut dissolverem germanitatem problem
in partes minores minoresque,

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nunc absolvitur
step unum ex pseudocode

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pro totius array principium.

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Nos sorted sinistrum dimidium.

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>> Nunc ergo eamus illuc duratus.

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Et nunc fiant scriptor exstat ius
half of the original ordinata.

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Et nos erant 'iens efficio ut
iens per idem adipisicing

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Evolutis autem multis rebus descendit frangentes circa domos
et tunc bus nequibant habitare communiter.

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>> Ita sinistram dimidium
rubeum exhibent, vel ad sinistram dimidium

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Dextra pars prima
aciem dicturus sum tria.

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Apud eundem, Ego sum constans here.

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Si vos have an impar
numerum elementorum,

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vere non refert utrum
tu Deus noster interfecisti relinquetur minor

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vel ius minorem.

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>> Quid refert est quod quandocumque
perspiciatis hoc problema in ducatum

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a merge debes intendenda.

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Aut oportet quod semper
facere sinistram minor

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aut postulo facio semper
a latere dextro minores.

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Hic semper elegi
ut sinistrum latus minor

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cum mea array sive meum
sub-array, impar est magnitudine.

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>> Tria sunt unum elementum,
et ideo consideratum est sorted.

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Weve leveraged quod assumptio
ita ut totum opus nostrum.

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Ita nunc, scriptor exstat ius
half of ius dimidium,

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dextera aut rubrum.

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>> Rursus hoc usque cessitas.

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Nec unicum elementum ordinata.

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Sed fringilla non potueritis solvere.

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Itaque primum itis
exstat sinistram dimidium.

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>> Sinistram dimidium unius elementi
sic suus 'genus per defaltam.

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Deinde nos, erant 'iens ut exstat ius
dimidiam, quod sunt una res.

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Suus 'sorted by default. Et nunc,
confundantur qui potest utrumque simul.

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Denario quaternarius est aliqua minor, et
deinde sex minor.

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>> Quid hoc fecimus?

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Weve 'sorted sinistram
half of ius dimidium.

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Aut redeundo ad originali
colores excelsas quæ erant ibi,

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weve 'sorted sinistram
media pars mollior rufam habuerit cicatricem.

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Erat primitus a tenebris subigens tene laterem
iamque rubrum mollior est rufus

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vel ut mitius red.

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>> Et tunc habuimus elegerunt
dextera mollior red.

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Nunc bene haerent, rursum virescit, sicut
quoniam erant 'iens per processum.

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Et habemus repetere
hoc iterum atque iterum.

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>> Et nunc non possumus merge illis
duas medietates simul.

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Et quid hic facimus.

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Ita nigrum linea iustus
divisum a sinistris

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dextera parte, et huiusmodi.

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>> Cui assimilabimus uilissimum
spectare ad sinistram

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vel excusandum me, minima
valor a sinistris

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ius ad minima
et dimidia tribus invenies quod sit minor.

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Nunc sit amet ipsum est?

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Illic 'actu nihil
Relictus in sinistro latere.

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>> Nihil reliqui
a sinistris ipsorum quattuor,

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ita et nos can efficenter
just move-- nos declarare potest

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reliquum est actu
sorted et justum convertendi cursum it

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on, quia nihil
aliud contra comparare.

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Scimus autem quoniam a dextris
dextri lateris obicitur.

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>> OK, ita nunc est iterumque frigore
instar sicco qua in fabula.

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In aciem altiore,
quid fecimus?

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Weve actu complebo
nunc gradum unum et duo gradus.

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Nos sorted sinistram dimidium, et
nos sorted ius dimidium.

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>> Quam ob rem, nihil remanet in nobis
ut merge illis duas medietates simul.

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Ita parabolae conparabimus infimum aestimantur
partes elementum acie

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et procedunt in suo ordine.

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Est minus trium, ita abscedit.

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>> Duo minus trium, ut uter eorum.

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Tribus minus V, tres abscedit.

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Denario quaternarius est aliqua minus quam V, ita quatuor vadit.

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Minorem quam annos sex et quinquaginta,
quidquid autem reliquum est, sex.

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>> Nunc cognovi quoniam multus gradus.

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Et nos dimisimus multum
memoria nostra in excitate.

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Et ut 'quid illis cinereo quadrata sunt.

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Probabile autem accepit ut sensit
multus diutius quam insertionem modi, bulla

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modi aut Selectionem huiusmodi.

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>> Sed etiam, quia
multum horum processuum

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fiunt eodem tempore suo
quod est certe rursus

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loqui de cum nos loqui de
recursion in futuro video--

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hoc algorithm actu
plane est fundamentaliter

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quam aliquid aliud
vidimus ante

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sed etiam significantly
magis efficens.

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>> Quid est quod?

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Bene, in pessimos
casu missione, habemus

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cessitas n elementa up
et tunc recombine eos.

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Sed cum locuti sumus recombine
ea, quae agis

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est basically duplicando
magnitudine minor vestit.

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00:10:11,110 --> 00:10:14,260
Sed elementum fasciculum
vestit nos efficaciter

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00:10:14,260 --> 00:10:16,290
miscere in elementum duo vestit.

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Et tunc accipiamus ea
duo elementum vestit

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00:10:18,590 --> 00:10:21,890
et commode uniat illos in
quattuor elementum vestit, et sic de aliis,

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et sic de aliis, et sic deinceps, quousque
habet unam n elementum ordinata.

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00:10:26,130 --> 00:10:29,910
>> Sed hoc quam multis flexibus differebat
n illo sumit impetro?

216
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Cogita in phone libro exemplum.

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00:10:31,460 --> 00:10:34,490
Quotiens nos capere
phone libro media quanto plures

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00:10:34,490 --> 00:10:38,370
habemus phone libro temporum capere
media si amplitudo phone libro

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firmitatis indicium?

220
00:10:39,680 --> 00:10:41,960
Illic iusto iustum

221
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>> Sic illic 'aliqua
logarithmica elementum here.

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Sed tamen adhuc etiam
vide n omnibus elementis redditus extat.

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In pessimum casu missione,
merge sort currit in n log n.

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Habemus aspicere
omnes n elementa,

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et habemus ad ea cogenda
simul in log n mutatoria gressus eorum considerat.

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In optimo casu missione,
perfecte sorted ordinata.

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Ut 'magnus.

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Sed ex habemus algorithm,
habemus residui ad scindendum et recombine.

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Licet in hoc casu,
recombining benignus acuminis inriti.

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Non est opus.

231
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Sed tamen per
totum processum usquam.

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>> Sic in optimo casu
et in pessimum casu,

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hoc algorithm currit n log n tempus.

234
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Merge sort est definite aliquantulus trickier
et major serviet minori main diribitio algorithms

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sed weve communicaverunt de CS50
substantialiter audendo potentior.

236
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>> Et ita si umquam inueniet
occasionem ad opus

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uti aut quale
large data set accepta,

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circum caput, modicum idea
potentissimum futurum sit.

239
00:11:41,940 --> 00:11:45,270
Quod suus 'iens uti
progressio vere multo magis efficiens

240
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usura merge sort versus aliud.

241
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Im Doug Lloyd.

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Hoc est CS50.

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