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U.M.S.N.H

PROGRAMACÍON Y COMPUTACIÓN IQ. GERARDO MEDINA HEREDIA TAREA No. 1 MATLAB UNIDAD 1 -------------------------------------------XITALY MARTINEZ MONDRAGON MATRICULA:172606E SEMESTRE:2 SECCION:02 Morelia, Mich, 24 de septiembre, 2018.

1.-OPERACIONES ARITMÉTICAS DIRECTAS a) >> 1981/14-51.5-9^1/2/18

ans = 89.7500 b) >> (1981/14-51.5-9)^(1/2)/18 ans = 0.5000 c) >> (9^2+27*7)*4/(6^2/3+9^3+7^2+10) ans = 1.3500 d) >> 9^2+27*7*4/6^2/3+9^3+7^2+10 ans = 876 e) >> -2*0.52/(280-294)/sqrt(pi*1.5*exp(-6)*4/3600) ans = 20.6200 f) >> (1.4*(200+460)+2*(70+460)+8.5*(0+460))*(1.4/2+2)^-1 ans = 2.1830e+03 g) >> 21*(10*8*2/12+(10-1)*8*14/12)*(21*8*2/12*10+8*14/12*(10-1))^-1 ans = 5.6154 h) >> 0.171*exp(-8)*(1500^4-530^4)/((1-0.8)/(0.8*8)+1/(1*8)+(1-0-9)/(0.9*8)) ans = -2.9939e+08 I) >> tan(sqrt((sqrt(90/8+1.07722^3)-pi)/1*exp(-4))+2.07) ans = -1.5126 j) >> asin(sqrt(14^2-rem(995,12)-4^2)/22)*10/(2*pi) ans = 1.0062 k) >> (-sqrt(abs(5^3-6^3))/abs((1+(5^2-6^2))/(1-(5^2-6^2)))+12^2)^(1/3)/5 ans = 1.0197

2.-OBTENGA EL RESULTADO DE CADA UNA DE LAS SIGUIENTES EXPRESIONES ALGEBRAICAS EXPRESÁNDOLAS EN FORMA LOGARÍTMICA. A) >> -2/((22-8/(45-2^2)-5/(9^2-8)))+(15+6)/(34-12) ans = 0.8625 B) >> (35+(13-28)/24/26-(28-13)/18)-((32-8)/(5-22)-5.5/(18+6)/24)+9.25 ans = 44.8139 C) >> 1/((1/(12.58)+(1/(3.65)+(1/6.557)))) ans = 1.9764 D) >> sqrt(sqrt(0.0568)+((956.45/300/[1+(0.5/1.789*exp(4))^(9/16)]^(6/9))^(1/6))) ans = 1.1133 E) >> 1.5+(-22.8*6/sqrt(6^2+1)/(2.45-(-25*8)/sqrt(7^2+1))) ans = 0.7683 F) >> sqrt((0.98)^2+1)/(0.98-1)*log(20/(2.45-1-0.98+sqrt((0.98)^2+1)))/(log(20/(2.45-10.98+sqrt((0.98)^2+1))/(2/(2.45-1-0.98-sqrt((0.98)^2+1))))) ans = -21.3876 +41.8858i

nota no esta definida

G)>>1.75*(46.79/52.64)^(0.14)*[2.45*exp(5)+12.6*(((3.16*exp(4))*(2.45*exp(5))*(2.75/ (155))^(0.4)))^(1/3)] ans = 1.1294e+03 H) >> 2.71828^(2^(5+1))*log(4*8^2) ans =

3.4574e+28 J) >> (3*15-60/15)-(2*5*6^2/(361-1))+(380/190) ans =

42 K) >> atan(4.8/5.7)-(4.8*5.7/((4.8)^2+(5.7)^2)) ans = 0.2072 L) >> (6.4)^2*acos((6.4-8.6)/6.4)-(6.4-8.6)*sqrt(2*6.4*(8.6-(8.6)^2)) ans = 78.7130 +63.6332i M) >> 234.5+(1/(35-[(16+234.5/(9+234.5))]^(2.5)-(1/((16+234.5)+(9+234.5))))) ans = 234.4991 N) >> 8*10*12/(4*sqrt((15*(15-8)*(15-10)*(15-12)))) ans = 6.0474 O) >> 4.355*241.5/(0.794*89.4)/(1+123.4*4501.78/((97.4*2.457*10^(-3)*0.871))) ans = 5.5594e-06 P) >> (-0.82*512/((3.15-0.258)^2))+(116.8*(2*(0.258)+2*(0.258))/ ([3.15*(3.15+0.258)+0.258*(3.15-0.258)^2])) ans = -40.8490 Q) >> (2*pi*(1.457)^2*8.41/(1.44*10^(-2))^5)*(exp(1.457*8.41/(1.44*10^-2*0.9*515.4)))^(-1) ans = 2.8933e+10 R) >> (0.85*130*2815/((1.56*(120-100))))+130*0.85*1.56*2815/((5204.8)*(135-120)-(205100)/(log((135-120/(205-100))))) ans =9.9760e+03

4.-HACIENDO USO DEL OPERADOR: DOS PUNTOS… a) >> x=[1:4:97] x =1 5 73 77 81

85

9

13 89

17 93

21 97

25

29

33

37

41

45

49

53

57

61

65

69

b) >> x=[50:-5:-25] x= 50

45

40

35

30

25

20

15

10

5

0

-5 -10 -15 -20 -25

c) >> x=[1:25] x= 1

2

3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

>> y=(1./x) y= 1

1/2

1/3

1/4

1/9

1/10

1/11

1/12

1/17

1/18

1/19

1/5

1/6

1/13

1/20

1/7

1/14

1/21

1/8

1/15

1/22

1/23

6

7

1/16 1/24

d) >> x=[0:1:29] >> x=[0:29] x= 0

1

2

3

4

5

8

9

10

11

12

16

17

18

19

20

21

24

25

26

27

28

29

13

14

15

22

23

>> y=[1:30] y= 1

2

3

4

5

9

10

11

12

6

13

7 14

17

18

19

20

21

22

25

26

27

28

29

30

0

1/2

2/3

3/4

4/5

5/6

8/9

9/10

10/11

15/16

16/17

8 15

16

23

24

6/7

7/8

>> z=[x./y] z=

17/18

11/12 18/19

12/13 19/20

13/14 20/21

14/15 21/22

1/25

22/23

23/24

24/25

25/26

26/27

27/28

28/29

29/30 e) >> x=[1:15] x =1 9

2

3

10

4

11

5

12

13

6

7

8

14

15

>> y=[sqrt(x)] y= 1 1393/985 3363/1189 3 1921/496

1351/780 2 721/228 1257/379

2889/1292 1351/390

2158/881 4936/1369

2024/765 3476/929

f) >> x=[1:50] x =1 9

2

3

10

4 11

5 12

6 13

7 14

8 15

16

17

18

19

20

21

22

23

24

25

26

27

28

29

30

31

32

33

34

35

36

37

38

39

40

41

42

43

44

45

46

47

48

49

50

9

16

25

36

49

64

>> y=[x.^2] y =1 81

4 100

121

144

169

196

225

256

289

324

361

400

441

484

529

576

625 1089 1681 2401

676 1156 1764 2500

729 1225 1849

784 1296 1936

841 1369 2025

900 1444 2116

961 1024 1521 1600 2209 2304

g) >> x=[1:15] x =1 9

2 10

3 11

4 12

5 13

6

7

14

15

8

>> y=[2.^x-1] y =1 511

3 1023

h) >> x=[3:25]

7 2047

15 4095

31

63 8191

127 16383

255 32767

x =3

4

5

6

7

8

9

10

11

12

13

14

15

16

17

18

19

20

21

22

23

24

25

6

7

8

9

>> y=[4:26] y =4

5

10

11

12

13

14

15

16

17

18

20

21

22

23

24

25

26

19

>> z=[x.*y] z =12

20

30

42

56

72

90

110

132

156

182

210

240

272

306

380

420

462

506

552

600

650

342

i) >> x=[1:25] x=1 9 18

2 10 19

3 11 20

4

5

12 21

13 22

6

7

8

14 23

15 24

1/9 -1/18

-1/10 1/19

16 25

17

>> y=(-1).^(x-1)./x y = 1 -1/2 1/3 1/13 -1/14 1/21 -1/22

-1/4 1/5 1/15 1/23

-1/6 1/7 -1/8 -1/16 1/17 -1/24 1/25

1/11 -1/20

-1/12

k) >> x=[-5:1:10] x = -5 3

-4 4

-3 5

-2

-1

6

0

7

1

8

2

9

10

>> y=(2.^x) y =1/32 8

1/16 16

1/8 32

1/4 64

1/2 128

1 256

2 512

4 1024

l) >> x=[1:30] x =1 9

2 10

3 11

4 12

5 13

6

7

8

14

15

16

17

18

19

20

21

22

25

26

27

28

29

30

23

24

>> y=(x.^(1./x)) y =1 1393/985 1149/886 1745/1367

949/658 1393/985 3491/2773 1113/895

1021/740 818/665

980/727 659/541

787/596 1298/1075

224/187 473/411 374/333

1785/1501 1153/976 1119/953 1075/938 1540/1349 1283/1128 905/808

1017/871 450/397

381/328 1140/1009

1067/923 1328/1179

m) >> x=[-4:1:10] x = -4 4

-3 5

-2

-1

6

0

7

1

8

2

9

3

10

>> y=(x.^x) y =1/256 256

-1/27

1/4

3125

-1

46656

1

1

4

1/2

3/5

27

823543

o) >> x=[0.1:0.1:1.5] x =1/10 9/10

1/5 1

3/10 11/10

2/5 6/5

13/10

7/10

7/5

4/5

3/2

>> y=cos(x)./x y =11950/1201 1475/301 519/475 661/759 163/236

429/794

2745/862

774/1877

1476/641

292/967

1699/968

478/2323

923/671

591/4868

229/4856

p) >> x=[0,2,0,2,0] x =0

2

0

2

0

>> y=[x,x,x,x,x] y= 0

2

0

2

0

0

2

0

2

0

0

2

0

2

0

0

2

0

2

0

0

2

0

2

R) >> x=[3:15] x=3 11

4

5

6

12

13

7

14

8

9

10

15

>> y=x./(x+1).^2 y =3/16

4/25

5/36

10/121

11/144

12/169

6/49

7/64

13/196

8/81

14/225

9/100

15/256

S) >> x=[1:12] x =1

2

3

4

9

10

11

12

5

6

7

8

>> y=1./2.^x y = 1/2

1/4

1/8

1/16

1/32

1/64

1/128

0

1/256

1/512

1/1024

1/2048

1/4096

T) >> x=[2:2:100]

x =2

4

6

8

10

12

14

16

18

20

22

24

26

28

30

32

34

36

38

40

42

44

46

48

50

52

54

56

58

60

62

64

66

68

70

72

74

76

78

80

82

84

86

88

90

92

94

96

98

100

>> y=1./(2.*x) y =1/4 1/36 1/72

1/8 1/40 1/76

1/12 1/44 1/80

1/16 1/48 1/84

1/20 1/52 1/88

1/24 1/56 1/92

1/28 1/32 1/60 1/64 1/68 1/96 1/100

U) >> x=[1:20] X= 1

2

3

4

9

10

11

17

18

19

5

12

6 13

7 14

8 15

16

20

>> y=(-1).^x.*x./(x+1).^2 y = -1/4

2/9

-3/16

8/81 -9/100

10/121

-15/256

16/289

4/25 -11/144

-17/324

-5/36

6/49

12/169

-13/196

18/361

-19/400

-7/64 14/225

20/441

V) >> x=[0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1,0,1] x=0

1

0 0

0

1 1

1

0 0

0

1

1

0

0

1

1

0

1

1

>> y=[x,x,x,x,x] y= 1

0 0

1

0

1

0

1

0

1

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

0

1

W) >> x=[1:24] x =1

2

9

3

10

17

4

11

18

5

12

13

19

20

21

64/27

625/256

6

7

8

14

15

16

22

23

24

>> y=(1+1./x).^x y= 2 9/4 6884/2683 1097/425 961/365 1497/563

1065/428

991/393

2437/957

10777/4155 1737/667 1283/491 1043/398 1374/523 153/58 1707/646 3443/1301 3877/1463 926/349 6298/2371 1871/703 1513/568

X) >> x=[1:24] x =1

2

9

3

10

17

4

11

18

5

12

13

6

7

8

14

15

16

19

20

21

22

23

24

3

6

10

15

21

28

36

45

55

66

78

91

105

120

153

171

>> y=x.*(x+1)./2 y =1

190

210

231

253

136 276

5.-ACCESO A LOS DIFERENTES ELEMENTOS DENTRO DE UN VECTOR. >> randn('state',sum(100*clock)),t=fix(abs(randn(1,10)*10)) t= 14

3

17

12

3

7

1

20

11

13

300

>> t(5) ans = 3

>> t(2:7) ans = 3

17

12

3

17

12

7

1

>> t(1:end) ans = 14

3

3

7

1

20

>> t(2:end-1) ans = 3

17

12

>> t(3:2:8) ans = 17

3

1

>> t(8:-2:3) ans = 20

>> t(:) ans = 14 3 17 12

7

12

3

7

1

20

11

11

13

3 7 1 20 11 13

>> t(end:-2:1) ans = 13

20

7

12

3

17

12

3

>> t(t>0) ans = 14

3

7

1

20

11

13

1

7

>> t([1:length(t)/2,end:-1:length(t)/2]) ans = 14

3

17

12

3

>> t(t>=5&t<=15) ans = 14

12

7

11

13

14

12

>> t([3,6,1,1,4]) ans = 17

7

>> [t',t'] ans = 14

14

3

3

14

13

11

20

3

17

17

12

12

3

3

7

7

1

1

20

20

11

11

13

13

>> [t;t] ans = 14

3

17

12

3

7

1

20

11

13

14

3

17

12

3

7

1

20

11

13

>> [t,t;t,t] ans = 14 13

3

17

12

3

7

1

20

11

13

14

3

17

12

3

7

1

20

11

14 13

3

17

12

3

7

1

20

11

13

14

3

17

12

3

7

1

20

11

>> [t',t';t',t'] ans = 14

14

3

3

17

17

12

12

3

3

7

7

1

1

20

20

11

11

13

13

14

14

3

3

17

17

12

12

3

3

7

7

1

1

20

20

11

11

13

13

>> [t';t';[t,t]'] ans = 14 3 17 12 3 7 1 20 11 13 14 3 17 12 3 7 1

20 11 13 14 3 17 12 3 7 1 20 11 13 14 3 17 12 3 7 1 20 11 13

>> sum(t) ans = 101

>> prod(t) ans = 514594080

>> median(t) ans = 11.5000

>> sort(t) ans = 1

3

3

7

11

12

13

14

17

20

11

12

13

14

17

20

3

3

1

>> sort(t,'ascend') ans = 1

3

3

7

>> sort(t,'descend') ans = 20

17

14

13

12

11

7

17

12

3

7

1

12

3

7

20

3

20

11

>> t(end)=[] t= 14

3

20

11

>> t(end-2)=[] t= 14

3

17

11

>> t([6,2])=[] t= 14

17

12

6.- CREACION DE MATRICES A TRAVEZ DE VECTORES >> p=[2;6;4]

p= 2 6 4 >> q=[8,3,5] q= 8

3

5

>> r=[10,1,0,7,9] r= 10

1

0

7

9

>> s=[-5;-2;-9;-6;-8] s= -5 -2 -9 -6 -8

A) >> a=[q;p,p,p] a= 8

3

5

2

2

2

6

6

6

4

4

4

B) >> b=[p';q',flipud(q'),q';fliplr(p')] b= 2

6

4

8

5

8

3

3

3

5

8

5

4

6

2

C)>> c = [q',p;p(end:-1:1),q(end:-1:1)'] c= 8

2

3

6

5

4

4

5

6

3

2

8

D)>> d= [[s(end:-1:1),r(end:-1:1)'],[p';q;p(end:-1:1)';q(end:-1:1);p']] d= -8

9

2

6

4

-6

7

8

3

5

-9

0

4

6

2

-2

1

5

3

8

-5 10

2

6

4

E)>> e =[s,r',s(end:-1:1),r(end:-1:1)'] e= -5 10 -8

9

-2

1 -6

7

-9

0 -9

0

-6

7 -2

1

-8

9 -5 10

F) >> f = [[q;p(end:-1:1)';q(end:-1:1);p';q*2],[s]] f= 8

3

5 -5

4

6

2 -2

5

3

8 -9

2

6

4 -6

16

6 10 -8

G) >> g=[r;q'+p,p,-2.*flipud(p),q',-1.*flipud(q')] g= 10

1

0

7

9

10

2

-8

8

-5

9

6 -12

3

-3

9

4

5

-8

-4

H)>> h= [[-1.*rot90(s,3)];rot90(P,2),q',[q;rot90(q,2);rot90(P,3)];rot90(r,2)] h= 8

6

9

2

5

4

8

8

3

5

6

3

5

3

8

2

5

4

6

2

9

7

0

1 10

I) >> i=[rot90(s,3);[q',[rot90(p,3);rot90(q,2);p';],rot90(q)];rot90(r,2)] i = -8

-6

-9

-2

-5

8

4

6

2

5

3

5

3

8

3

5

2

6

4

8

9

7

0

1

10

7.-ACCESO A LOS DIFERENTES ELEMENTOS DENTRO DE UNA MATRIZ >> rand('state',sum(100*clock)),R=reshape(randperm(36),6,6) R= 13

27

18

6

33

31

32

9

29

25

24

11

5

26

19

35

8

1

7

28

4

34

36

2

14

12

22

30

21

15

20

17

10

23

3

16

>> R(5,3) ans = 22

>> R(2:end,:) ans = 32

9

29

25

24

11

5

26

19

35

8

1

7

28

4

34

36

2

14

12

22

30

21

15

20

17

10

23

3

16

>> R(:,1:end) ans = 13

27

18

6

33

31

32

9

29

25

24

11

5

26

19

35

8

1

7

28

4

34

36

2

14

12

22

30

21

15

20

17

10

23

3

16

>> R(2:end-1,2:end-1) ans = 9

29

25

24

26

19

35

8

28

4

34

36

12

22

30

21

>> R(1:2:5,:) ans = 13

27

18

6

33

31

5

26

19

35

8

1

14

12

22

30

21

15

>> R(5:-2:3,:) ans = 14

12

22

30

21

15

5

26

19

35

8

1

>> R(3:4,1:2) ans = 5

26

7

28

>> R(:) ans = 13 32 5 7 14 20 27 9 26 28

12 17 18 29 19 4 22 10 6 25 35 34 30 23 33 24 8 36 21 3 31 11 1 2 15 16

>> R(3:end-1,2:end-2) ans = 26

19

35

28

4

34

12

22

30

>> R(:,[1:length(R)/2,end:-1:length(R)/2]) ans = 13

27

18

31

33

6

18

32

9

29

11

24

25

29

5

26

19

1

8

35

19

7

28

4

2

36

34

4

14

12

22

15

21

30

22

20

17

10

16

3

23

10

>> R([3,6,1,1,4],:) ans = 5

26

19

35

8

1

20

17

10

23

3

16

13

27

18

6

33

31

13

27

18

6

33

31

7

28

4

34

36

2

>> R([3,6,2],[1,4,5]) ans = 5

35

8

20

23

3

32

25

24

>> [R,R;R,R] ans = 13

27

18

6

33

31

13

27

32

9

29

25

24

11

32

9

5

26

19

35

8

1

5

26

18 29 19

6

33

31

25

24

11

35

8

1

7

28

4

34

36

2

7

28

4

34

14

12

22

30

21

15

14

12

22

30

21

20

17

10

23

3

16

20

17

10

23

3

16

13

27

18

6

33

31

13

27

18

6

33

31

32

9

29

25

24

11

32

9

25

24

11

5

26

19

35

8

1

5

26

19

35

8

1

7

28

4

34

36

2

7

28

4

34

36

2

14

12

22

30

21

15

14

12

22

30

21

20

17

10

23

3

16

20

17

10

23

3

29

36

2 15

15 16

>> sum(R) ans = 91 119 102 153 125

76

>> prod(R) ans = 4076800

36088416

8727840 123165000

14370048

>> median(R) ans = 13.5000 21.5000 18.5000 27.5000 22.5000 13.0000

>> sort(R) ans = 5

9

4

6

3

1

7

12

10

23

8

2

13

17

18

25

21

11

14

26

19

30

24

15

20

27

22

34

33

16

32

28

29

35

36

31

163680

>> sort(R,'ascend') ans = 5

9

4

6

3

1

7

12

10

23

8

2

13

17

18

25

21

11

14

26

19

30

24

15

20

27

22

34

33

16

32

28

29

35

36

31

>> sort(R,'descend') ans = 32

28

29

35

36

31

20

27

22

34

33

16

14

26

19

30

24

15

13

17

18

25

21

11

7

12

10

23

8

2

5

9

4

6

3

1

>> R(end,:)=[] R= 13

27

18

6

33

31

32

9

29

25

24

11

5

26

19

35

8

1

7

28

4

34

36

2

14

12

22

30

21

6

33

>> R(:,end)=[] R= 13

27

18

15

32

9

29

25

24

5

26

19

35

8

7

28

4

34

36

14

12

22

30

21

>> R(1:2,:)=[] R= 5

26

19

35

8

7

28

4

34

36

14

12

22

30

21

>> R([4,2],:)=[] Matrix index is out of range for deletion.

>> R(:,[4,2])=[] R= 5

19

8

7

4

36

14

22

21

>> R(:,:)=[] R= 0×3 empty double matrix

10.-GENERE LAS SIGUIENTES MATRICES DE VALORES…

>> a=[(1:1:5);(2:1:6);(3:1:7);(4:1:8)] a =1

2

3

4

5

2

3

4

5

6

3

4

5

6

7

4

5

6

7

8

>> b=[(8:-1:4);(7:-1:3);(6:-1:2);(5:-1:1)] b =8

7

6

5

4

7

6

5

4

3

6

5

4

3

2

5

4

3

2

1

>> c=[(8:-2:0);(7:-3:-5);(6:-4:-10);(5:-5:-15)] c =8

6

4

2

0

7

4

1 -2 -5

6

2 -2 -6 -10

5

0 -5 -10 -15

>> d=[1,2,3,4,5;1,4,9,16,25;2,4,6,8,10;1,8,27,64,125] d =1

2

3

4

5

1

4

9 16 25

2

4

6

1

8 27 64 125

8 10

>>e=[1,2,4,7,11;125,64,27,8,1;126,66,31,15,12;-124,-62,-23,-1,10] e =1

2

4

125 64 27

7 11 8

1

126 66 31 15 12 -124 -62 -23 -1 10

>>f=[0,3,6,9,12;0,1,3,6,10;0,4,8,12,16;15,10,5,0,-5] f=0

3

6

9 12

0

1

3

6 10

0

4

8 12 16

15 10

5

0 -5

a) >> a=[1,2,3,4,5;2,3,4,5,6;3,4,5,6,7;4,5,6,7,8] a =1

2

3

4

5

2

3

4

5

6

3

4

5

6

7

4

5

6

7

8

>> a(:,[1,3,5])=[] a =2

4

3

5

4

6

5

7

>> vic=a vic = 2

4

3

5

4

6

5

7

B) >> b(:,[2,4])=[] b =8

6

4

7

5

3

6

4

2

5

3

1

>> filB=b filB =8

6

4

7

5

3

6

4

2

5

3

1

C) >> c(:,[2,4])=[] c =8 7

4

0

1 -5

6 -2 -10 5 -5 -15 >> filasC=c filasC = 8

4

0

7

1 -5

6 -2 -10 5 -5 -15

E) w= e([1,2,3], 1:5) w= 1

2

4

125 64 27

7 11 8

1

126 66 31 15 12

G) >> a([1,2,3,4,5],1)=0 a= 0

2

3

4

5

0

3

4

5

6

0

4

5

6

7

0

5

6

7

8

0

0

0

0

0

H) >> b([1:4],3)=(1:1:4) b= 8

7

1

5

4

7

6

2

4

3

6

5

3

3

2

5

4

4

2

1

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