27/01/2015

1

Phn tch v Thit kTHUT TON

H i Dng

duonghd@mta.edu.vn

Web: fit.mta.edu.vn/~duonghd

Bi 1 - Gii thiuPHN TCH V THIT K THU TON

27/01/2015

2

NI DUNG

I. Gii thiu1. Mc ch

2. Ni dung mn hc

3. Hnh thc Kim tra, Thi v nh gi kt qu

4. Ti liu tham kho

II. Thut ton1. nh ngha

2. Tnh cht

3. Biu din

NI DUNG

III. phc tp thut ton1. Gii tiu

2. Hng tip cn

3. Phn lp phc tp

IV. Bi tp

27/01/2015

3

I. Gii thiu

1. MC CH Cung cp kin thc v vic nh gi thut ton

L thuyt Thc nghim

Kin thc, k thut v gii quyt bi ton trn my tnh: Trc tip Gin tip

Thit k thut gii Chia tr Quy hoch ng Tm kim cc b

I. Gii thiu

2. NI DUNG

Tng quan v thut ton v phc tp ca thut ton

nh gi thut ton: L thuyt (ton hc s cp)

Thc nghim

quy v phng php nh gi

nh gi mt s thut ton thng dng Thut ton tm kim

Thut ton sp xp

27/01/2015

4

I. Gii thiu

2. NI DUNG

Cc phng php gii quyt bi ton trn my tnh Trc tip

Gin tip

K thut thit k thut ton Chia tr

Gii thut tham lam

Quy hoch ng

Tm kim cc b

I. Gii thiu

3. HNH THC KIM TRA

10% Chuyn cn

20% Thng xuyn (bi tp, bi kim tra)

70% Thi cui k (vn p): Sinh vin thc hin 1 bi tp ln vi yucu: Ci t thut ton cho bi ton t ra,

Chy vi d liu pht sinh ngu nhin, m s php gn v so snh, v th, tnh phng sai, lch chun -> c lng phc tp ca thut ton

Tnh ton bng l thuyt v so snh vi thc nghim.

Vit bo co, vn p tr li cc cu hi t ra.

27/01/2015

5

I. Gii thiu

4. TI LIU THAM KHO

Slide bi ging.

Bi ging Thit k v nh gi Thut ton, Trn Xun Sinh, NXB, HQG, 2010.

Cm nang thut ton, Robert Sedgewich - Trn an Th dch (ti bnln 2), NXB KHKT, 2006.

Cu trc d liu v gii thut, Trn Xun Li, NXB H Quc Gia, 2006.

Gii mt bi ton trn my tnh nh th no (3 tp), Hong Kim, NXB Gio dc, 2005.

I. Gii thiu

4. TI LIU THAM KHO

Gii thut v lp trnh (bi ging chuyn ), L Minh Hong, HSP, 2002.

Computer Algorithms Introduction to Design and Analysis, Addison-Wesley, 1988.

Algorithms and Complexity, Herbert S. Wilf, University of Pennsylvania, Philadelphia 1999.

Algorithm Design, Jon Kleinberg, Eva Tardos Pearson, 2006.

27/01/2015

6

II. Thut ton

1. NH NGHA

C nhiu cch pht biu c chp nhn, trong :

1)

2)

II. Thut ton

2. TNH CHT

27/01/2015

7

II. Thut ton

2. TNH CHT

II. Thut ton

2. TNH CHT

27/01/2015

8

II. Thut ton

2. TNH CHT

II. Thut ton

3. BIU DIN THUT TON

27/01/2015

9

II. Thut ton

4. THUT GII

III. phc tp thut ton

1. GII THIU

Kch thc ca bi ton n (c th hiu l s phn t cn phi x l ca biton) V d: Sp xp mt danh sch n sinh vin

Tm phn t X trong mt mng c n phn t

Vi 1 bi ton c th c nhiu thut gii (chng trnh) Chng trnh 1

Chng trnh 2

Chng trnh (thut gii) no tt?

27/01/2015

10

III. phc tp thut ton

1. GII THIU nh gi phc tp thi gian tnh ton

(V thi gian cn ph thuc vo mt my tnh c th)

nh gi theo tng s cc php ton c bn (gn, so snh)

V vic nh gi ph thuc vo n nn phc tp thut ton c hiunh mt hm ph thuc vo n, f(n)

III. phc tp thut ton

2. HNG TIP CN

nh gi f(n) nh th no?

27/01/2015

11

III. phc tp thut ton

2. HNG TIP CN

Hng tip cn thc nghim

III. phc tp thut ton

2. HNG TIP CN

c lng tim cn(l thuyt):

ngha:

nh ngha:

27/01/2015

12

III. phc tp thut ton

2. HNG TIP CN

c lng tim cn(l thuyt):

III. phc tp thut ton

2. HNG TIP CN

c lng tim cn(l thuyt):

27/01/2015

13

III. phc tp thut ton

2. HNG TIP CN

c lng tim cn(l thuyt):

III. phc tp thut ton

2. HNG TIP CN

c lng tim cn(l thuyt):

27/01/2015

14

III. phc tp thut ton

2. HNG TIP CN

c lng tim cn(l thuyt):

III. phc tp thut ton

2. HNG TIP CN

c lng tim cn(l thuyt):

27/01/2015

15

III. phc tp thut ton

2. HNG TIP CN

c lng tim cn(l thuyt):

III. phc tp thut ton

3. PHN LP CC HM

27/01/2015

16

III. phc tp thut ton

3. PHN LP CC HM

III. phc tp thut ton

3. PHN LP CC HM

27/01/2015

17

III. phc tp thut ton

4. MT S VN KHC

S ph thuc/khng ph thuc vo phn b d liu

III. phc tp thut ton

4. MT S VN KHC

Tnh O (ln) da trn quy tc Cng/Nhn

27/01/2015

18

NI DUNG BI HC

I. Gii thiu

II. Thut ton

III. phc tp thut ton

IV. Bi tp

1. Nu nh ngha, tnh cht v cc cch thc biu din thut ton

2. Cho cc bi ton sau:a) Tnh nghim phng trnh bc 2: ax2+bx+c=0, a0.

b) Tnh tng bnh phng ca n s t nhin u tin.

c) Tm s c gi tr x trong dy x1, x2,,xn.

d) Tm s c gi tr ln nht trong dy x1, x2,,xn.

Hy tm thut ton gii bi ton trn, m t cc thut ton s dng ngnng t nhin v ch ra cc tnh cht ca thut ton .

3. M t cc thut ton trong bi 2 dng s khi.

4. M t cc thut ton trong bi 2 dng gi m.