1
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2
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>> ZAMYLA: ut intelligatis
recursion vis,

3
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intelligite prius recursion.

4
00:00:13,820 --> 00:00:17,280
Quod ipsum in consilio media recursion
quae est in te per se referential

5
00:00:17,280 --> 00:00:18,570
om.

6
00:00:18,570 --> 00:00:21,520
Recursive structuris puta
sunt notitia structurae

7
00:00:21,520 --> 00:00:23,990
includunt in se
definitiones.

8
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Sed hodie, erant 'iens ut focus
in recursive.

9
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>> Memini accipies munera inputs,
argumentis eorum aestimationem reddere

10
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per output
Hic describit.

11
00:00:34,480 --> 00:00:38,060
Vestibulum ut lectus corpus cogitare
munus, in quo posuit

12
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monet, ut intellego,
et suggero an input output.

13
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Habita intra corpus propius inspicere
et aperuit vocat muneris

14
00:00:45,660 --> 00:00:47,430
alia est.

15
00:00:47,430 --> 00:00:51,300
Accipite amet functio, foo, quia
quod unicum ac diam suscipit

16
00:00:51,300 --> 00:00:54,630
quot clauorum litteris
quod est vinculum.

17
00:00:54,630 --> 00:00:58,490
Strlen est functio, pro chorda longitudine,
est, qui est output

18
00:00:58,490 --> 00:01:01,890
vocatio requiritur ad printf.

19
00:01:01,890 --> 00:01:05,770
>> Quid facit recursive functio
est specialis, revocat se.

20
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Sed possunt in hoc recursive
et hoc vocant rhoncus sagittis

21
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looping ad ipsum.

22
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Sed partibus se tantum
aliud recursive vocatio

23
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ac rursus aliam poscebat.

24
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Sed recursive
non potest esse infinitum.

25
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Et quomodo sunt ad finem, vel
et erit in aeternum, elit.

26
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>> Hinc iter irrumpere
de recursive vocat.

27
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Nos huiusmodi fundamentum est.

28
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In turpis et res occurrit,
functio redit infecta

29
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alia recursive vocatio.

30
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Tolle hoc munus hi vacuo muneris
input accipientem int n.

31
00:01:39,610 --> 00:01:41,260
In turpis est, prius est.

32
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Si n est minus quam nulla, ac ultricies ave
pro omnibus casibus,

33
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hi print functio et faciam
recursive.

34
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Hi cum alia vocatio ad functio
decremented input a eros.

35
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>> Etsi autem procer Salve,
non desinant, donec ad ipsum actum

36
00:01:56,790 --> 00:02:00,370
reddere rationem reddi,
in hoc casu nulla.

37
00:02:00,370 --> 00:02:04,830
Ergo praeter omnia genera turpis,
haec functio revertar hi hi

38
00:02:04,830 --> 00:02:06,890
I n minus.

39
00:02:06,890 --> 00:02:10,050
Et quia hoc est munus, quod inane est,
non explicite genus huc.

40
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Lorem modo exequi officium.

41
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Et hi vocant (III), et hi non procer
hi facere (II) hi qui facit (I) una

42
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hi faciens (0), ubi
turpia, et res occurrit.

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Et hi (0) et procer mox redit.

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>> OK.

45
00:02:24,990 --> 00:02:28,690
Itaque jam fundamenta intellegere
recursive, qui indigent

46
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tam turpe saltem unus
recursive, ut nec movere

47
00:02:32,730 --> 00:02:34,120
Significantius exemplum.

48
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Unum, quod est non revertetur
nulla re.

49
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>> Sit at factorial
plerumque adsuesco assuesco in operatione

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ratione probabile.

51
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Ex quo omnia, de qua n Factorial
quam integer positivus

52
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et aeque, ut n.

53
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IV V temporibus ut quinque partibus factorial
III diebus II I ad tempora CXX.

54
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Quattuor tempora III IV temporibus factorial est
I ad II temporibus XXIV.

55
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Et eadem ratio est de
ut integer positivus.

56
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>> Ut enim scribere recursive
quae determinat de factorial muneris

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plures?

58
00:03:09,960 --> 00:03:14,700
Etiam vestibulum et opust
recursive ac turpis.

59
00:03:14,700 --> 00:03:18,250
Erit idem recursive
nisi turpe in omnibus

60
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causa est, ut puteus '
dabit exemplum nobis reperire

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intentum.

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00:03:23,350 --> 00:03:30,270
>> Et propter hoc, ut quam V factorial
III by IV by I II multiplicata fit per

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Et quod ipsa multiplicatio
non est hic,

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Definitio IV factorial.

65
00:03:35,430 --> 00:03:39,810
Unde videmus quod factorial habet V
IV V temporibus ut f et vocans.

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00:03:39,810 --> 00:03:43,360
Sed haec ratio locum
ut IV factorial est?

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Etiam.

68
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Ad tertium dicendum quod factorial habet in IV
I II tempora III temporibus ductus est,

69
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III factorial ut ipsum a Platone.

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III et IV temporibus IV aequalis factorial
factorial, ita et nos in

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forma manet, dum I factorial, quod
I definitionem aequalis.

72
00:04:02,170 --> 00:04:04,950
>> Nihil enim est aliud positiva
integri superest.

73
00:04:04,950 --> 00:04:07,870
Et habemus exemplum
recursive nostrum.

74
00:04:07,870 --> 00:04:13,260
n vicibus n aequalis factorial
n minus quam I factorial.

75
00:04:13,260 --> 00:04:14,370
Et turpe nobis?

76
00:04:14,370 --> 00:04:17,370
Ut iustus sit, definiatur
I factorial of.

77
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>> Igitur movere scriptis
Mauris in munere.

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00:04:19,995 --> 00:04:24,110
Quia turpis est, certe
ita n pares I, ubi

79
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iam redeo I.

80
00:04:25,780 --> 00:04:29,280
Moveatur autem versus recursive,
et revertetur ad nos, n vicibus

81
00:04:29,280 --> 00:04:32,180
minus I factorial of n.

82
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>> Nunc hoc probare.

83
00:04:33,590 --> 00:04:35,900
Lets experiri factorial IV.

84
00:04:35,900 --> 00:04:39,420
Per nostra functio par
IV temporibus in factorial (III).

85
00:04:39,420 --> 00:04:43,040
Factorial (III) aequalis
III temporibus factorial (II).

86
00:04:43,040 --> 00:04:48,700
Factorial (II) II temporibus aequalem
factorial (I) I reducit.

87
00:04:48,700 --> 00:04:52,490
Factorial (II) II temporibus redit I, II.

88
00:04:52,490 --> 00:04:55,960
Factorial (III), potest nunc
II temporibus, III, VI.

89
00:04:55,960 --> 00:05:02,490
Denique factorial (IV)
VI IV temporibus redit, XXIV.

90
00:05:02,490 --> 00:05:06,780
>> Si vestri 'occurrentes nobis obstat,
cum recursive, dissimulent

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00:05:06,780 --> 00:05:09,660
munus operatur, est prius.

92
00:05:09,660 --> 00:05:13,450
Quid est, inquam, si hoc
recursive vocat istam reverti

93
00:05:13,450 --> 00:05:15,100
jus ducit.

94
00:05:15,100 --> 00:05:18,960
Nam, si scio
factorial (V) V temporibus aequales

95
00:05:18,960 --> 00:05:24,870
factorial (IV) Ego confido,
factorial (IV) XXIV dabit.

96
00:05:24,870 --> 00:05:28,510
Nullam ut variabilis, si
voluntatem jam quasi

97
00:05:28,510 --> 00:05:30,070
factorial (IV).

98
00:05:30,070 --> 00:05:33,850
Ergo aliquis factorial (n) est
n, et ex

99
00:05:33,850 --> 00:05:35,360
priore factorial.

100
00:05:35,360 --> 00:05:38,130
Et prius hoc factorial
per quod fit

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minus I factorial of n.

102
00:05:41,330 --> 00:05:45,130
>> Sed vide si potes peragendam
recursive functio te.

103
00:05:45,130 --> 00:05:50,490
Mors in termino, aut run.cs50.net,
et scribe functio sum

104
00:05:50,490 --> 00:05:54,770
n et redit integer suscipit
& summa omnium positivarum consecutive

105
00:05:54,770 --> 00:05:57,490
in I de integris, n.

106
00:05:57,490 --> 00:06:01,000
Aliquis mihi scripta summis
valores, qui auxiliator est noster,.

107
00:06:01,000 --> 00:06:04,030
Uno modo, quod instar sicco
turpe sit.

108
00:06:04,030 --> 00:06:06,170
Et vide quomodo (V).

109
00:06:06,170 --> 00:06:09,270
Potes dicere quod secundum
aliud quid?

110
00:06:09,270 --> 00:06:11,290
Sed quid sum (IV)

111
00:06:11,290 --> 00:06:15,630
Quomodo potestis vos dicere sum (IV)
per aliud in summa?

112
00:06:15,630 --> 00:06:19,655
>> Post sum (V), et totum (IV)
aliis summis exprimantur, videre

113
00:06:19,655 --> 00:06:22,970
Si vos can identify
exemplum sum (n).

114
00:06:22,970 --> 00:06:26,190
Si non, sollicitudin pauci numero
significamus, et equitibus, et in

115
00:06:26,190 --> 00:06:28,410
secundum multitudinem aliam.

116
00:06:28,410 --> 00:06:31,930
Exprimit dispositio ad discretos
numeri te ad te bene

117
00:06:31,930 --> 00:06:34,320
primum quod in omni forma, n.

118
00:06:34,320 --> 00:06:38,040
>> Recursion est vere instrumentum potens,
Aenean auctor fringilla sane

119
00:06:38,040 --> 00:06:39,820
mathematicis inveniantur.

120
00:06:39,820 --> 00:06:44,040
Recursion ipsum dolor sit amet, efficaciter
Nam cum de arborum.

121
00:06:44,040 --> 00:06:47,210
Morbi a enim in summa arborum
Vestibulum fusius, nunc

122
00:06:47,210 --> 00:06:51,140
Recordari bina quaerere arborum,
praesertim nodorum constituitur singulis

123
00:06:51,140 --> 00:06:53,820
cum valor node, Romane, et duas.

124
00:06:53,820 --> 00:06:57,270
Vestibulum repraesentat,
qui se ostendet, aliam parentis node

125
00:06:57,270 --> 00:07:01,870
una node ad sinistram
ad ius node.

126
00:07:01,870 --> 00:07:04,510
Structura a binariae search
lignum quoque favet

127
00:07:04,510 --> 00:07:05,940
ut quaero a recursive.

128
00:07:05,940 --> 00:07:09,730
Aut abit in recursive
node dexteram neque ad sinistram: sed

129
00:07:09,730 --> 00:07:10,950
Denique quod in ligno.

130
00:07:10,950 --> 00:07:15,690
>> Dic ad operationem vis facere
omnia et singula quae in binarii arbor node.

131
00:07:15,690 --> 00:07:17,410
Unde posset enim hoc facturus?

132
00:07:17,410 --> 00:07:20,600
Sed tu scribere recursive
munus, quod facit operationem,

133
00:07:20,600 --> 00:07:24,450
et in parentis node facit recursive
illa ad eandem,

134
00:07:24,450 --> 00:07:27,630
transiens in, scelerisque ac,
ius nodorum.

135
00:07:27,630 --> 00:07:31,650
Nam hoc functio, foo, qui
a node, et mutare valorem

136
00:07:31,650 --> 00:07:33,830
I ad omnes filios suos.

137
00:07:33,830 --> 00:07:37,400
In turpis a nulla causa node
opus redire, significans

138
00:07:37,400 --> 00:07:41,290
quod non sunt aliqui nodorum
ut in sinistra sub arbore.

139
00:07:41,290 --> 00:07:42,620
>> Lets ambulare per eam.

140
00:07:42,620 --> 00:07:44,340
Prima parens XIII.

141
00:07:44,340 --> 00:07:47,930
I mutare valor, et tunc vocare
tum laevum Munus

142
00:07:47,930 --> 00:07:49,600
ut ius.

143
00:07:49,600 --> 00:07:53,910
Munere, foo, sinistra dicitur
arbor sub primae sinistris node

144
00:07:53,910 --> 00:07:57,730
erit reponenda, et I est ad arbitrium foo
node vocari filiorum

145
00:07:57,730 --> 00:08:01,900
sinistrum deinde primus ius
et sic de aliis.

146
00:08:01,900 --> 00:08:05,630
Et loquere ad eos quod non rami
lure igitur ultra pueri

147
00:08:05,630 --> 00:08:09,700
Et adhuc enim in filiis
Nodi sunt arboris ad omnia

148
00:08:09,700 --> 00:08:11,430
I transcriber.

149
00:08:11,430 --> 00:08:15,390
>> Ut vos can animadverto, Aenean
recursive vocatio ad aliquid unum.

150
00:08:15,390 --> 00:08:17,930
Quotquot adepto officium perfectus.

151
00:08:17,930 --> 00:08:21,200
Quid si arborem quodlibet
node liberos,

152
00:08:21,200 --> 00:08:23,100
Reliquit, medium, recta?

153
00:08:23,100 --> 00:08:24,886
Quomodo te Duis foo?

154
00:08:24,886 --> 00:08:25,860
Etiam elit.

155
00:08:25,860 --> 00:08:30,250
Sed et aliud ab recursive
Et factum in media node monstratorem.

156
00:08:30,250 --> 00:08:34,549
>> Et non praevalens ad recursion
de elegantia, sed potest esse a

157
00:08:34,549 --> 00:08:38,010
Difficile est prima idea, ita
tolle quod tuum est tempus et patientia.

158
00:08:38,010 --> 00:08:39,370
Aliquam in turpis.

159
00:08:39,370 --> 00:08:42,650
Suus 'plerumque facilius ad recognoscendas,
et vos potest operari

160
00:08:42,650 --> 00:08:43,830
inde retro.

161
00:08:43,830 --> 00:08:46,190
Tu debes scire facias
turpis est, ut, qui, ut

162
00:08:46,190 --> 00:08:47,760
te innuit.

163
00:08:47,760 --> 00:08:53,120
Curabitur in uno casu speciali expresse
aliis verbis, vel sub-dit.

164
00:08:53,120 --> 00:08:54,700
>> Nam spectator brevis.

165
00:08:54,700 --> 00:08:58,920
Saltem nunc possum
sic intelligendum est, iocos.

166
00:08:58,920 --> 00:09:01,250
Nomen meum Zamyla, quod est CS50.

167
00:09:01,250 --> 00:09:04,306

168
00:09:04,306 --> 00:09:07,170
>> Tolle hoc munus, hi, qui
irritum facit id quod est

169
00:09:07,170 --> 00:09:09,212
int n, ut input.

170
00:09:09,212 --> 00:09:11,020
In turpis est, prius est.

171
00:09:11,020 --> 00:09:14,240
0 si n fuerit minor, print
"Vale", et reditus processit.

172
00:09:14,240 --> 00:09:15,490