dharr

Dr. David Harrington

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15 years, 282 days
University of Victoria
Professor or university staff
Victoria, British Columbia, Canada

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I am a professor of chemistry at the University of Victoria, BC, Canada, where my research areas are electrochemistry and surface science. I have been a user of Maple since about 1990.

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These are answers submitted by dharr

Pointplot doesn't require the two lists to be interleaved:

F:=[1,4,6,7];
H:=[1,5,9,14];
plots:-pointplot(F,H,symbolsize=20);

 

While @acer's error messages are relatively comprehensible, @Carl Love's, covering the more complicated case, are hard to interpret for an average Maple user. (I know that @Rouben Rostamian  asked specifically for a single type check.) If the error message is only going to be seen by Rouben, then there isn't a problem, but if others will see it then several checks with their own error messages may be preferable. (In my case, the "others" can be me six months down the road when I've forgotten why I did that.) So I'd probably go for:

restart;

f:=proc(Z::[symbol,symbol]) local S:={a,b,c,d};
     if {Z[]} minus S <> {} then error "list elements can only be: %0",S[] end if;
     if nops({Z[]})=1 then error "list elements cannot be the same" end if;
     print("OK");
   end proc:
   

f([a,b,c]);

Error, invalid input: f expects its 1st argument, Z, to be of type [symbol, symbol], but received [a, b, c]

f([a,h]);

Error, (in f) list elements can only be: a, b, c, d

f([a,a]);

Error, (in f) list elements cannot be the same

f([a,b]);

"OK"

 


 

Download typecheck.mw

[Edit: as @Preben Alsholm  points out, the following explanation is wrong.] The k in your definition of B[1] and B[2] is different from the summation k, which is local to Sum. The easiest fix is:

NULL

restart

lambda := .3; mu := .7; xi := .2; u := 1

omega := lambda+mu+xi

alpha := 2*sqrt(lambda*mu)

.9165151390

F := evalf(Int(sum((BesselI(k-1, alpha*(u-y))-BesselI(k+1, alpha*(u-y)))*exp(-omega*(u-y)), k = 1 .. infinity), y = 0 .. u))

.7246342704

 

NULL


 

Download int.mw

Maple generally assumes variables are complex. evalc assumes they are real or you can explicitly make assumptions.


 

a:=conjugate(1-I*x*lambda)+1-I*x*lambda;

2+I*conjugate(x*lambda)-I*x*lambda

evalc(a);

2

a assuming real;

2

 


 

Download conjugate.mw


 

test:=proc(a) local b;
  b:=a^2;
end proc;

proc (a) local b; b := a^2 end proc

Output of test is the  result of the last statement in the procedure - this is the usual way to output a value from a procedure

c:=test(5);

25

test2:=proc(a) local b;
  b:=a^2;
  print(b);
end proc;

proc (a) local b; b := a^2; print(b) end proc

Output of test2 is the  result of the last statement in the procedure, but the print statement results in NULL (nothing) 

d:=test2(5);

25

"d := "

op(d);

Error, invalid input: op expects 1 or 2 arguments, but received 0

 


 

Download print.mw

That's debatable. In quantity calculus the number is considered multiplied by the unit, and so zero multiplied by any unit is zero. Just as a heading for a table or label for a plot axis in the form m / kg results in the number only, say 6, so m = 6*kg.

The problem is with the line 

return Reverse(revmons(n,d)):

You loaded both the ListTools and ArrayTools packages, both of which have a Reverse routine, and the error message shows that the ArrayTools one was used, but you want the ListTools one, so you should specify that:

return ListTools:-Reverse(revmons(n,d)):

 

Just extracting the expression I think you are worried about, collect( ,cos) collects the cosine parts, but there are two distinct ones. [Edit: simplify does the same thing.]

z:=4*conjugate(lambda)^2*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2-4*conjugate(lambda)^2*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2+8*abs(lambda)^2*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2+8*abs(lambda)^2*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2+4*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2*lambda^2-4*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2*lambda^2-16*abs(lambda)^2;

4*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2*conjugate(lambda)^2+8*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2*abs(lambda)^2+4*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2*lambda^2-4*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2*conjugate(lambda)^2+8*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2*abs(lambda)^2-4*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2*lambda^2-16*abs(lambda)^2

collect(z,cos);

(-4*lambda^2+8*abs(lambda)^2-4*conjugate(lambda)^2)*cos((1/4)*(-4*w^2*lambda^2+4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda-t)/lambda)^2+(4*lambda^2+8*abs(lambda)^2+4*conjugate(lambda)^2)*cos((1/4)*(4*w^2*lambda^2-4*x*lambda^2+conjugate((4*lambda^2*w^2-4*lambda^2*x+t)/lambda)*lambda+t)/lambda)^2-16*abs(lambda)^2

 


 

Download collect.mw

solve(f > 0, useassumptions)

 


Need consistent use of lists.

restart

A2 := 1.10744*nops4364; A4 := 1.124502164; ad := .5; ed := 0.1e-1; pd := 21; ld := .3

f := unapply(3*x^2-2*x^3-1.238616691*x^2*(x-1)^2-.7382714588*x^2*(x-1)^3+.1921034396*x^2*(x-1)^4+.5253305667*x^2*(x-1)^5+.7364291997*x^2*(x-1)^6+1.032724351*x^2*(x-1)^7+.8058204155*x^2*(x-1)^8+.3290860035*x^2*(x-1)^9, x)

t := unapply(.339997432+1.547096375*x^2-2.488736512*x^3+8.154594212*x^4-15.63643668*x^5+15.85832377*x^6-8.734300202*x^7+1.959461605*x^8, x)

b1 := f(x)

b2 := diff(f(x), x)

b3 := diff(f(x), x, x)

b4 := t(x)

b5 := diff(t(x), x)

An := A4*(1+(4/3)*ad)*(b5^2+b4^2/ld^2)+4*ed*pd*(b2^2/x^2+b1^2/x^4-b1*b2/x^3)/ld

As := [seq(An, x = 0.1e-2 .. 1, 0.5e-1)]

xx := [seq(x, x = 0.1e-2 .. 1, 0.5e-1)]

with(plots)

plots:-display(plot(xx, As, style = point), plot(An, x = 0.1e-2 .. 1), color = blue, linestyle = solid, labels = ["&eta;", "f'"], thickness = 1, labeldirections = [horizontal, vertical], labelfont = ['TIMES', 'BOLDOBLIQUE', 16], size = [450, 450], axes = box)

NULL


 

Download mp.mw

I made some changes (in red). But note that the loop variable i has a value after the loop is over, so you can't use it as a generic variable unless you unassign it: i:='i' or use uneval quotes. In the final solve you will need to generate (in)equations for all the i and j values you are interested in.

chinasa1.mw


 

restart

with(LinearAlgebra); with(VectorCalculus); _local(gamma)

eqx := x*(1-x)-x*y; eqy := y*(delta-beta*y/x)-alpha*y/(gamma+y)

x*(1-x)-x*y

y*(delta-beta*y/x)-alpha*y/(gamma+y)

E__2, E__3 := solve({eqx, eqy}, {x, y}, explicit)[2 .. 3]

{x = 1-(1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta), y = (1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta)}, {x = 1+(1/2)*(beta*gamma+delta*gamma+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2)-alpha-delta)/(beta+delta), y = -(1/2)*(beta*gamma+delta*gamma+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2)-alpha-delta)/(beta+delta)}

The following is different from what you typed in for x__2: beta*gamma+2*beta+delta*gamma+delta-alpha-sqrt(alpha^2-2*alpha*(beta*gamma+delta*gamma+2*beta+delta)+(beta*gamma+delta*gamma+delta)^2)/(2*(beta+delta))

eval(x, E__2); simplify(%)

(beta*gamma+delta*gamma+2*beta-alpha+delta-((beta+delta)^2*gamma^2-2*(alpha-delta)*(beta+delta)*gamma+alpha^2+(-4*beta-2*delta)*alpha+delta^2)^(1/2))/(2*beta+2*delta)

J := Jacobian([eqx, eqy], [x, y])

J := Matrix(2, 2, {(1, 1) = 1-2*x-y, (1, 2) = -x, (2, 1) = y^2*beta/x^2, (2, 2) = delta-2*beta*y/x-alpha/(gamma+y)+alpha*y/(gamma+y)^2})

TrJ := Trace(J)

1-2*x-y+delta-2*beta*y/x-alpha/(gamma+y)+alpha*y/(gamma+y)^2

diff(eval(TrJ, E__2), alpha)

(1/2)*(1+(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta)-beta*(1+(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/((beta+delta)*(1-(1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta)))-(1/2)*beta*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))*(1+(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/((beta+delta)^2*(1-(1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta))^2)-1/(gamma+(1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta))+alpha*(1+(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/((gamma+(1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta))^2*(beta+delta))+(1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/((beta+delta)*(gamma+(1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta))^2)-(1/2)*alpha*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))*(1+(1/2)*(-2*beta*gamma-2*delta*gamma+2*alpha-4*beta-2*delta)/(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/((beta+delta)^2*(gamma+(1/2)*(-beta*gamma-delta*gamma+alpha+delta+(beta^2*gamma^2+2*beta*delta*gamma^2+delta^2*gamma^2-2*alpha*beta*gamma-2*alpha*delta*gamma+2*beta*delta*gamma+2*delta^2*gamma+alpha^2-4*alpha*beta-2*alpha*delta+delta^2)^(1/2))/(beta+delta))^3)

``


 

Download 1111.mw

plot([Th-273,subs(Tc=400,n*alpha*dT/2),Th=300..700]);

 

As @acer pointed out, it doesn't currently make much sense, but if you wanted the running integral:

restart

integ := 2*sqrt((a^2+1)/(x^2+1))/sqrt((x^2+1)*exp(4*m*(arctan(a)-arctan(x)))-a^2-1)

2*((a^2+1)/(x^2+1))^(1/2)/((x^2+1)*exp(4*m*(arctan(a)-arctan(x)))-a^2-1)^(1/2)

params:={m=1,a=3};

{a = 3, m = 1}

plot(eval(integ,params),x=eval(a,params)..10);

intt:=Int(integ,x=a..xx);

Int(2*((a^2+1)/(x^2+1))^(1/2)/((x^2+1)*exp(4*m*(arctan(a)-arctan(x)))-a^2-1)^(1/2), x = a .. xx)

plot(eval(intt,params),xx=eval(a,params)..10);

 


 

Download running_integral.mw

If you use programmer indices, you can extend vectors, so you do not need to know the size ahead of time.
 

v:=Vector();

v := Vector(2000, {(1) = .1000000000, (2) = .2000000000, (3) = .3000000000, (4) = .4000000000, (5) = .5000000000, (6) = .6000000000, (7) = .7000000000, (8) = .8000000000, (9) = .9000000000, (10) = 1.000000000, (11) = 1.100000000, (12) = 1.200000000, (13) = 1.300000000, (14) = 1.400000000, (15) = 1.500000000, (16) = 1.600000000, (17) = 1.700000000, (18) = 1.800000000, (19) = 1.900000000, (20) = 2.000000000, (21) = 2.100000000, (22) = 2.200000000, (23) = 2.300000000, (24) = 2.400000000, (25) = 2.500000000, (26) = 2.600000000, (27) = 2.700000000, (28) = 2.800000000, (29) = 2.900000000, (30) = 3.000000000, (31) = 3.100000000, (32) = 3.200000000, (33) = 3.300000000, (34) = 3.400000000, (35) = 3.500000000, (36) = 3.600000000, (37) = 3.700000000, (38) = 3.800000000, (39) = 3.900000000, (40) = 4.000000000, (41) = 4.100000000, (42) = 4.200000000, (43) = 4.300000000, (44) = 4.400000000, (45) = 4.500000000, (46) = 4.600000000, (47) = 4.700000000, (48) = 4.800000000, (49) = 4.900000000, (50) = 5.000000000, (51) = 5.100000000, (52) = 5.200000000, (53) = 5.300000000, (54) = 5.400000000, (55) = 5.500000000, (56) = 5.600000000, (57) = 5.700000000, (58) = 5.800000000, (59) = 5.900000000, (60) = 6.000000000, (61) = 6.100000000, (62) = 6.200000000, (63) = 6.300000000, (64) = 6.400000000, (65) = 6.500000000, (66) = 6.600000000, (67) = 6.700000000, (68) = 6.800000000, (69) = 6.900000000, (70) = 7.000000000, (71) = 7.100000000, (72) = 7.200000000, (73) = 7.300000000, (74) = 7.400000000, (75) = 7.500000000, (76) = 7.600000000, (77) = 7.700000000, (78) = 7.800000000, (79) = 7.900000000, (80) = 8.000000000, (81) = 8.100000000, (82) = 8.200000000, (83) = 8.300000000, (84) = 8.400000000, (85) = 8.500000000, (86) = 8.600000000, (87) = 8.700000000, (88) = 8.800000000, (89) = 8.900000000, (90) = 9.000000000, (91) = 9.100000000, (92) = 9.200000000, (93) = 9.300000000, (94) = 9.400000000, (95) = 9.500000000, (96) = 9.600000000, (97) = 9.700000000, (98) = 9.800000000, (99) = 9.900000000, (100) = 10.00000000, (101) = 10.10000000, (102) = 10.20000000, (103) = 10.30000000, (104) = 10.40000000, (105) = 10.50000000, (106) = 10.60000000, (107) = 10.70000000, (108) = 10.80000000, (109) = 10.90000000, (110) = 11.00000000, (111) = 11.10000000, (112) = 11.20000000, (113) = 11.30000000, (114) = 11.40000000, (115) = 11.50000000, (116) = 11.60000000, (117) = 11.70000000, (118) = 11.80000000, (119) = 11.90000000, (120) = 12.00000000, (121) = 12.10000000, (122) = 12.20000000, (123) = 12.30000000, (124) = 12.40000000, (125) = 12.50000000, (126) = 12.60000000, (127) = 12.70000000, (128) = 12.80000000, (129) = 12.90000000, (130) = 13.00000000, (131) = 13.10000000, (132) = 13.20000000, (133) = 13.30000000, (134) = 13.40000000, (135) = 13.50000000, (136) = 13.60000000, (137) = 13.70000000, (138) = 13.80000000, (139) = 13.90000000, (140) = 14.00000000, (141) = 14.10000000, (142) = 14.20000000, (143) = 14.30000000, (144) = 14.40000000, (145) = 14.50000000, (146) = 14.60000000, (147) = 14.70000000, (148) = 14.80000000, (149) = 14.90000000, (150) = 15.00000000, (151) = 15.10000000, (152) = 15.20000000, (153) = 15.30000000, (154) = 15.40000000, (155) = 15.50000000, (156) = 15.60000000, (157) = 15.70000000, (158) = 15.80000000, (159) = 15.90000000, (160) = 16.00000000, (161) = 16.10000000, (162) = 16.20000000, (163) = 16.30000000, (164) = 16.40000000, (165) = 16.50000000, (166) = 16.60000000, (167) = 16.70000000, (168) = 16.80000000, (169) = 16.90000000, (170) = 17.00000000, (171) = 17.10000000, (172) = 17.20000000, (173) = 17.30000000, (174) = 17.40000000, (175) = 17.50000000, (176) = 17.60000000, (177) = 17.70000000, (178) = 17.80000000, (179) = 17.90000000, (180) = 18.00000000, (181) = 18.10000000, (182) = 18.20000000, (183) = 18.30000000, (184) = 18.40000000, (185) = 18.50000000, (186) = 18.60000000, (187) = 18.70000000, (188) = 18.80000000, (189) = 18.90000000, (190) = 19.00000000, (191) = 19.10000000, (192) = 19.20000000, (193) = 19.30000000, (194) = 19.40000000, (195) = 19.50000000, (196) = 19.60000000, (197) = 19.70000000, (198) = 19.80000000, (199) = 19.90000000, (200) = 20.00000000, (201) = 20.10000000, (202) = 20.20000000, (203) = 20.30000000, (204) = 20.40000000, (205) = 20.50000000, (206) = 20.60000000, (207) = 20.70000000, (208) = 20.80000000, (209) = 20.90000000, (210) = 21.00000000, (211) = 21.10000000, (212) = 21.20000000, (213) = 21.30000000, (214) = 21.40000000, (215) = 21.50000000, (216) = 21.60000000, (217) = 21.70000000, (218) = 21.80000000, (219) = 21.90000000, (220) = 22.00000000, (221) = 22.10000000, (222) = 22.20000000, (223) = 22.30000000, (224) = 22.40000000, (225) = 22.50000000, (226) = 22.60000000, (227) = 22.70000000, (228) = 22.80000000, (229) = 22.90000000, (230) = 23.00000000, (231) = 23.10000000, (232) = 23.20000000, (233) = 23.30000000, (234) = 23.40000000, (235) = 23.50000000, (236) = 23.60000000, (237) = 23.70000000, (238) = 23.80000000, (239) = 23.90000000, (240) = 24.00000000, (241) = 24.10000000, (242) = 24.20000000, (243) = 24.30000000, (244) = 24.40000000, (245) = 24.50000000, (246) = 24.60000000, (247) = 24.70000000, (248) = 24.80000000, (249) = 24.90000000, (250) = 25.00000000, (251) = 25.10000000, (252) = 25.20000000, (253) = 25.30000000, (254) = 25.40000000, (255) = 25.50000000, (256) = 25.60000000, (257) = 25.70000000, (258) = 25.80000000, (259) = 25.90000000, (260) = 26.00000000, (261) = 26.10000000, (262) = 26.20000000, (263) = 26.30000000, (264) = 26.40000000, (265) = 26.50000000, (266) = 26.60000000, (267) = 26.70000000, (268) = 26.80000000, (269) = 26.90000000, (270) = 27.00000000, (271) = 27.10000000, (272) = 27.20000000, (273) = 27.30000000, (274) = 27.40000000, (275) = 27.50000000, (276) = 27.60000000, (277) = 27.70000000, (278) = 27.80000000, (279) = 27.90000000, (280) = 28.00000000, (281) = 28.10000000, (282) = 28.20000000, (283) = 28.30000000, (284) = 28.40000000, (285) = 28.50000000, (286) = 28.60000000, (287) = 28.70000000, (288) = 28.80000000, (289) = 28.90000000, (290) = 29.00000000, (291) = 29.10000000, (292) = 29.20000000, (293) = 29.30000000, (294) = 29.40000000, (295) = 29.50000000, (296) = 29.60000000, (297) = 29.70000000, (298) = 29.80000000, (299) = 29.90000000, (300) = 30.00000000, (301) = 30.10000000, (302) = 30.20000000, (303) = 30.30000000, (304) = 30.40000000, (305) = 30.50000000, (306) = 30.60000000, (307) = 30.70000000, (308) = 30.80000000, (309) = 30.90000000, (310) = 31.00000000, (311) = 31.10000000, (312) = 31.20000000, (313) = 31.30000000, (314) = 31.40000000, (315) = 31.50000000, (316) = 31.60000000, (317) = 31.70000000, (318) = 31.80000000, (319) = 31.90000000, (320) = 32.00000000, (321) = 32.10000000, (322) = 32.20000000, (323) = 32.30000000, (324) = 32.40000000, (325) = 32.50000000, (326) = 32.60000000, (327) = 32.70000000, (328) = 32.80000000, (329) = 32.90000000, (330) = 33.00000000, (331) = 33.10000000, (332) = 33.20000000, (333) = 33.30000000, (334) = 33.40000000, (335) = 33.50000000, (336) = 33.60000000, (337) = 33.70000000, (338) = 33.80000000, (339) = 33.90000000, (340) = 34.00000000, (341) = 34.10000000, (342) = 34.20000000, (343) = 34.30000000, (344) = 34.40000000, (345) = 34.50000000, (346) = 34.60000000, (347) = 34.70000000, (348) = 34.80000000, (349) = 34.90000000, (350) = 35.00000000, (351) = 35.10000000, (352) = 35.20000000, (353) = 35.30000000, (354) = 35.40000000, (355) = 35.50000000, (356) = 35.60000000, (357) = 35.70000000, (358) = 35.80000000, (359) = 35.90000000, (360) = 36.00000000, (361) = 36.10000000, (362) = 36.20000000, (363) = 36.30000000, (364) = 36.40000000, (365) = 36.50000000, (366) = 36.60000000, (367) = 36.70000000, (368) = 36.80000000, (369) = 36.90000000, (370) = 37.00000000, (371) = 37.10000000, (372) = 37.20000000, (373) = 37.30000000, (374) = 37.40000000, (375) = 37.50000000, (376) = 37.60000000, (377) = 37.70000000, (378) = 37.80000000, (379) = 37.90000000, (380) = 38.00000000, (381) = 38.10000000, (382) = 38.20000000, (383) = 38.30000000, (384) = 38.40000000, (385) = 38.50000000, (386) = 38.60000000, (387) = 38.70000000, (388) = 38.80000000, (389) = 38.90000000, (390) = 39.00000000, (391) = 39.10000000, (392) = 39.20000000, (393) = 39.30000000, (394) = 39.40000000, (395) = 39.50000000, (396) = 39.60000000, (397) = 39.70000000, (398) = 39.80000000, (399) = 39.90000000, (400) = 40.00000000, (401) = 40.10000000, (402) = 40.20000000, (403) = 40.30000000, (404) = 40.40000000, (405) = 40.50000000, (406) = 40.60000000, (407) = 40.70000000, (408) = 40.80000000, (409) = 40.90000000, (410) = 41.00000000, (411) = 41.10000000, (412) = 41.20000000, (413) = 41.30000000, (414) = 41.40000000, (415) = 41.50000000, (416) = 41.60000000, (417) = 41.70000000, (418) = 41.80000000, (419) = 41.90000000, (420) = 42.00000000, (421) = 42.10000000, (422) = 42.20000000, (423) = 42.30000000, (424) = 42.40000000, (425) = 42.50000000, (426) = 42.60000000, (427) = 42.70000000, (428) = 42.80000000, (429) = 42.90000000, (430) = 43.00000000, (431) = 43.10000000, (432) = 43.20000000, (433) = 43.30000000, (434) = 43.40000000, (435) = 43.50000000, (436) = 43.60000000, (437) = 43.70000000, (438) = 43.80000000, (439) = 43.90000000, (440) = 44.00000000, (441) = 44.10000000, (442) = 44.20000000, (443) = 44.30000000, (444) = 44.40000000, (445) = 44.50000000, (446) = 44.60000000, (447) = 44.70000000, (448) = 44.80000000, (449) = 44.90000000, (450) = 45.00000000, (451) = 45.10000000, (452) = 45.20000000, (453) = 45.30000000, (454) = 45.40000000, (455) = 45.50000000, (456) = 45.60000000, (457) = 45.70000000, (458) = 45.80000000, (459) = 45.90000000, (460) = 46.00000000, (461) = 46.10000000, (462) = 46.20000000, (463) = 46.30000000, (464) = 46.40000000, (465) = 46.50000000, (466) = 46.60000000, (467) = 46.70000000, (468) = 46.80000000, (469) = 46.90000000, (470) = 47.00000000, (471) = 47.10000000, (472) = 47.20000000, (473) = 47.30000000, (474) = 47.40000000, (475) = 47.50000000, (476) = 47.60000000, (477) = 47.70000000, (478) = 47.80000000, (479) = 47.90000000, (480) = 48.00000000, (481) = 48.10000000, (482) = 48.20000000, (483) = 48.30000000, (484) = 48.40000000, (485) = 48.50000000, (486) = 48.60000000, (487) = 48.70000000, (488) = 48.80000000, (489) = 48.90000000, (490) = 49.00000000, (491) = 49.10000000, (492) = 49.20000000, (493) = 49.30000000, (494) = 49.40000000, (495) = 49.50000000, (496) = 49.60000000, (497) = 49.70000000, (498) = 49.80000000, (499) = 49.90000000, (500) = 50.00000000, (501) = 50.10000000, (502) = 50.20000000, (503) = 50.30000000, (504) = 50.40000000, (505) = 50.50000000, (506) = 50.60000000, (507) = 50.70000000, (508) = 50.80000000, (509) = 50.90000000, (510) = 51.00000000, (511) = 51.10000000, (512) = 51.20000000, (513) = 51.30000000, (514) = 51.40000000, (515) = 51.50000000, (516) = 51.60000000, (517) = 51.70000000, (518) = 51.80000000, (519) = 51.90000000, (520) = 52.00000000, (521) = 52.10000000, (522) = 52.20000000, (523) = 52.30000000, (524) = 52.40000000, (525) = 52.50000000, (526) = 52.60000000, (527) = 52.70000000, (528) = 52.80000000, (529) = 52.90000000, (530) = 53.00000000, (531) = 53.10000000, (532) = 53.20000000, (533) = 53.30000000, (534) = 53.40000000, (535) = 53.50000000, (536) = 53.60000000, (537) = 53.70000000, (538) = 53.80000000, (539) = 53.90000000, (540) = 54.00000000, (541) = 54.10000000, (542) = 54.20000000, (543) = 54.30000000, (544) = 54.40000000, (545) = 54.50000000, (546) = 54.60000000, (547) = 54.70000000, (548) = 54.80000000, (549) = 54.90000000, (550) = 55.00000000, (551) = 55.10000000, (552) = 55.20000000, (553) = 55.30000000, (554) = 55.40000000, (555) = 55.50000000, (556) = 55.60000000, (557) = 55.70000000, (558) = 55.80000000, (559) = 55.90000000, (560) = 56.00000000, (561) = 56.10000000, (562) = 56.20000000, (563) = 56.30000000, (564) = 56.40000000, (565) = 56.50000000, (566) = 56.60000000, (567) = 56.70000000, (568) = 56.80000000, (569) = 56.90000000, (570) = 57.00000000, (571) = 57.10000000, (572) = 57.20000000, (573) = 57.30000000, (574) = 57.40000000, (575) = 57.50000000, (576) = 57.60000000, (577) = 57.70000000, (578) = 57.80000000, (579) = 57.90000000, (580) = 58.00000000, (581) = 58.10000000, (582) = 58.20000000, (583) = 58.30000000, (584) = 58.40000000, (585) = 58.50000000, (586) = 58.60000000, (587) = 58.70000000, (588) = 58.80000000, (589) = 58.90000000, (590) = 59.00000000, (591) = 59.10000000, (592) = 59.20000000, (593) = 59.30000000, (594) = 59.40000000, (595) = 59.50000000, (596) = 59.60000000, (597) = 59.70000000, (598) = 59.80000000, (599) = 59.90000000, (600) = 60.00000000, (601) = 60.10000000, (602) = 60.20000000, (603) = 60.30000000, (604) = 60.40000000, (605) = 60.50000000, (606) = 60.60000000, (607) = 60.70000000, (608) = 60.80000000, (609) = 60.90000000, (610) = 61.00000000, (611) = 61.10000000, (612) = 61.20000000, (613) = 61.30000000, (614) = 61.40000000, (615) = 61.50000000, (616) = 61.60000000, (617) = 61.70000000, (618) = 61.80000000, (619) = 61.90000000, (620) = 62.00000000, (621) = 62.10000000, (622) = 62.20000000, (623) = 62.30000000, (624) = 62.40000000, (625) = 62.50000000, (626) = 62.60000000, (627) = 62.70000000, (628) = 62.80000000, (629) = 62.90000000, (630) = 63.00000000, (631) = 63.10000000, (632) = 63.20000000, (633) = 63.30000000, (634) = 63.40000000, (635) = 63.50000000, (636) = 63.60000000, (637) = 63.70000000, (638) = 63.80000000, (639) = 63.90000000, (640) = 64.00000000, (641) = 64.10000000, (642) = 64.20000000, (643) = 64.30000000, (644) = 64.40000000, (645) = 64.50000000, (646) = 64.60000000, (647) = 64.70000000, (648) = 64.80000000, (649) = 64.90000000, (650) = 65.00000000, (651) = 65.10000000, (652) = 65.20000000, (653) = 65.30000000, (654) = 65.40000000, (655) = 65.50000000, (656) = 65.60000000, (657) = 65.70000000, (658) = 65.80000000, (659) = 65.90000000, (660) = 66.00000000, (661) = 66.10000000, (662) = 66.20000000, (663) = 66.30000000, (664) = 66.40000000, (665) = 66.50000000, (666) = 66.60000000, (667) = 66.70000000, (668) = 66.80000000, (669) = 66.90000000, (670) = 67.00000000, (671) = 67.10000000, (672) = 67.20000000, (673) = 67.30000000, (674) = 67.40000000, (675) = 67.50000000, (676) = 67.60000000, (677) = 67.70000000, (678) = 67.80000000, (679) = 67.90000000, (680) = 68.00000000, (681) = 68.10000000, (682) = 68.20000000, (683) = 68.30000000, (684) = 68.40000000, (685) = 68.50000000, (686) = 68.60000000, (687) = 68.70000000, (688) = 68.80000000, (689) = 68.90000000, (690) = 69.00000000, (691) = 69.10000000, (692) = 69.20000000, (693) = 69.30000000, (694) = 69.40000000, (695) = 69.50000000, (696) = 69.60000000, (697) = 69.70000000, (698) = 69.80000000, (699) = 69.90000000, (700) = 70.00000000, (701) = 70.10000000, (702) = 70.20000000, (703) = 70.30000000, (704) = 70.40000000, (705) = 70.50000000, (706) = 70.60000000, (707) = 70.70000000, (708) = 70.80000000, (709) = 70.90000000, (710) = 71.00000000, (711) = 71.10000000, (712) = 71.20000000, (713) = 71.30000000, (714) = 71.40000000, (715) = 71.50000000, (716) = 71.60000000, (717) = 71.70000000, (718) = 71.80000000, (719) = 71.90000000, (720) = 72.00000000, (721) = 72.10000000, (722) = 72.20000000, (723) = 72.30000000, (724) = 72.40000000, (725) = 72.50000000, (726) = 72.60000000, (727) = 72.70000000, (728) = 72.80000000, (729) = 72.90000000, (730) = 73.00000000, (731) = 73.10000000, (732) = 73.20000000, (733) = 73.30000000, (734) = 73.40000000, (735) = 73.50000000, (736) = 73.60000000, (737) = 73.70000000, (738) = 73.80000000, (739) = 73.90000000, (740) = 74.00000000, (741) = 74.10000000, (742) = 74.20000000, (743) = 74.30000000, (744) = 74.40000000, (745) = 74.50000000, (746) = 74.60000000, (747) = 74.70000000, (748) = 74.80000000, (749) = 74.90000000, (750) = 75.00000000, (751) = 75.10000000, (752) = 75.20000000, (753) = 75.30000000, (754) = 75.40000000, (755) = 75.50000000, (756) = 75.60000000, (757) = 75.70000000, (758) = 75.80000000, (759) = 75.90000000, (760) = 76.00000000, (761) = 76.10000000, (762) = 76.20000000, (763) = 76.30000000, (764) = 76.40000000, (765) = 76.50000000, (766) = 76.60000000, (767) = 76.70000000, (768) = 76.80000000, (769) = 76.90000000, (770) = 77.00000000, (771) = 77.10000000, (772) = 77.20000000, (773) = 77.30000000, (774) = 77.40000000, (775) = 77.50000000, (776) = 77.60000000, (777) = 77.70000000, (778) = 77.80000000, (779) = 77.90000000, (780) = 78.00000000, (781) = 78.10000000, (782) = 78.20000000, (783) = 78.30000000, (784) = 78.40000000, (785) = 78.50000000, (786) = 78.60000000, (787) = 78.70000000, (788) = 78.80000000, (789) = 78.90000000, (790) = 79.00000000, (791) = 79.10000000, (792) = 79.20000000, (793) = 79.30000000, (794) = 79.40000000, (795) = 79.50000000, (796) = 79.60000000, (797) = 79.70000000, (798) = 79.80000000, (799) = 79.90000000, (800) = 80.00000000, (801) = 80.10000000, (802) = 80.20000000, (803) = 80.30000000, (804) = 80.40000000, (805) = 80.50000000, (806) = 80.60000000, (807) = 80.70000000, (808) = 80.80000000, (809) = 80.90000000, (810) = 81.00000000, (811) = 81.10000000, (812) = 81.20000000, (813) = 81.30000000, (814) = 81.40000000, (815) = 81.50000000, (816) = 81.60000000, (817) = 81.70000000, (818) = 81.80000000, (819) = 81.90000000, (820) = 82.00000000, (821) = 82.10000000, (822) = 82.20000000, (823) = 82.30000000, (824) = 82.40000000, (825) = 82.50000000, (826) = 82.60000000, (827) = 82.70000000, (828) = 82.80000000, (829) = 82.90000000, (830) = 83.00000000, (831) = 83.10000000, (832) = 83.20000000, (833) = 83.30000000, (834) = 83.40000000, (835) = 83.50000000, (836) = 83.60000000, (837) = 83.70000000, (838) = 83.80000000, (839) = 83.90000000, (840) = 84.00000000, (841) = 84.10000000, (842) = 84.20000000, (843) = 84.30000000, (844) = 84.40000000, (845) = 84.50000000, (846) = 84.60000000, (847) = 84.70000000, (848) = 84.80000000, (849) = 84.90000000, (850) = 85.00000000, (851) = 85.10000000, (852) = 85.20000000, (853) = 85.30000000, (854) = 85.40000000, (855) = 85.50000000, (856) = 85.60000000, (857) = 85.70000000, (858) = 85.80000000, (859) = 85.90000000, (860) = 86.00000000, (861) = 86.10000000, (862) = 86.20000000, (863) = 86.30000000, (864) = 86.40000000, (865) = 86.50000000, (866) = 86.60000000, (867) = 86.70000000, (868) = 86.80000000, (869) = 86.90000000, (870) = 87.00000000, (871) = 87.10000000, (872) = 87.20000000, (873) = 87.30000000, (874) = 87.40000000, (875) = 87.50000000, (876) = 87.60000000, (877) = 87.70000000, (878) = 87.80000000, (879) = 87.90000000, (880) = 88.00000000, (881) = 88.10000000, (882) = 88.20000000, (883) = 88.30000000, (884) = 88.40000000, (885) = 88.50000000, (886) = 88.60000000, (887) = 88.70000000, (888) = 88.80000000, (889) = 88.90000000, (890) = 89.00000000, (891) = 89.10000000, (892) = 89.20000000, (893) = 89.30000000, (894) = 89.40000000, (895) = 89.50000000, (896) = 89.60000000, (897) = 89.70000000, (898) = 89.80000000, (899) = 89.90000000, (900) = 90.00000000, (901) = 90.10000000, (902) = 90.20000000, (903) = 90.30000000, (904) = 90.40000000, (905) = 90.50000000, (906) = 90.60000000, (907) = 90.70000000, (908) = 90.80000000, (909) = 90.90000000, (910) = 91.00000000, (911) = 91.10000000, (912) = 91.20000000, (913) = 91.30000000, (914) = 91.40000000, (915) = 91.50000000, (916) = 91.60000000, (917) = 91.70000000, (918) = 91.80000000, (919) = 91.90000000, (920) = 92.00000000, (921) = 92.10000000, (922) = 92.20000000, (923) = 92.30000000, (924) = 92.40000000, (925) = 92.50000000, (926) = 92.60000000, (927) = 92.70000000, (928) = 92.80000000, (929) = 92.90000000, (930) = 93.00000000, (931) = 93.10000000, (932) = 93.20000000, (933) = 93.30000000, (934) = 93.40000000, (935) = 93.50000000, (936) = 93.60000000, (937) = 93.70000000, (938) = 93.80000000, (939) = 93.90000000, (940) = 94.00000000, (941) = 94.10000000, (942) = 94.20000000, (943) = 94.30000000, (944) = 94.40000000, (945) = 94.50000000, (946) = 94.60000000, (947) = 94.70000000, (948) = 94.80000000, (949) = 94.90000000, (950) = 95.00000000, (951) = 95.10000000, (952) = 95.20000000, (953) = 95.30000000, (954) = 95.40000000, (955) = 95.50000000, (956) = 95.60000000, (957) = 95.70000000, (958) = 95.80000000, (959) = 95.90000000, (960) = 96.00000000, (961) = 96.10000000, (962) = 96.20000000, (963) = 96.30000000, (964) = 96.40000000, (965) = 96.50000000, (966) = 96.60000000, (967) = 96.70000000, (968) = 96.80000000, (969) = 96.90000000, (970) = 97.00000000, (971) = 97.10000000, (972) = 97.20000000, (973) = 97.30000000, (974) = 97.40000000, (975) = 97.50000000, (976) = 97.60000000, (977) = 97.70000000, (978) = 97.80000000, (979) = 97.90000000, (980) = 98.00000000, (981) = 98.10000000, (982) = 98.20000000, (983) = 98.30000000, (984) = 98.40000000, (985) = 98.50000000, (986) = 98.60000000, (987) = 98.70000000, (988) = 98.80000000, (989) = 98.90000000, (990) = 99.00000000, (991) = 99.10000000, (992) = 99.20000000, (993) = 99.30000000, (994) = 99.40000000, (995) = 99.50000000, (996) = 99.60000000, (997) = 99.70000000, (998) = 99.80000000, (999) = 99.90000000, (1000) = 100.0000000, (1001) = 100.1000000, (1002) = 100.2000000, (1003) = 100.3000000, (1004) = 100.4000000, (1005) = 100.5000000, (1006) = 100.6000000, (1007) = 100.7000000, (1008) = 100.8000000, (1009) = 100.9000000, (1010) = 101.0000000, (1011) = 101.1000000, (1012) = 101.2000000, (1013) = 101.3000000, (1014) = 101.4000000, (1015) = 101.5000000, (1016) = 101.6000000, (1017) = 101.7000000, (1018) = 101.8000000, (1019) = 101.9000000, (1020) = 102.0000000, (1021) = 102.1000000, (1022) = 102.2000000, (1023) = 102.3000000, (1024) = 102.4000000, (1025) = 102.5000000, (1026) = 102.6000000, (1027) = 102.7000000, (1028) = 102.8000000, (1029) = 102.9000000, (1030) = 103.0000000, (1031) = 103.1000000, (1032) = 103.2000000, (1033) = 103.3000000, (1034) = 103.4000000, (1035) = 103.5000000, (1036) = 103.6000000, (1037) = 103.7000000, (1038) = 103.8000000, (1039) = 103.9000000, (1040) = 104.0000000, (1041) = 104.1000000, (1042) = 104.2000000, (1043) = 104.3000000, (1044) = 104.4000000, (1045) = 104.5000000, (1046) = 104.6000000, (1047) = 104.7000000, (1048) = 104.8000000, (1049) = 104.9000000, (1050) = 105.0000000, (1051) = 105.1000000, (1052) = 105.2000000, (1053) = 105.3000000, (1054) = 105.4000000, (1055) = 105.5000000, (1056) = 105.6000000, (1057) = 105.7000000, (1058) = 105.8000000, (1059) = 105.9000000, (1060) = 106.0000000, (1061) = 106.1000000, (1062) = 106.2000000, (1063) = 106.3000000, (1064) = 106.4000000, (1065) = 106.5000000, (1066) = 106.6000000, (1067) = 106.7000000, (1068) = 106.8000000, (1069) = 106.9000000, (1070) = 107.0000000, (1071) = 107.1000000, (1072) = 107.2000000, (1073) = 107.3000000, (1074) = 107.4000000, (1075) = 107.5000000, (1076) = 107.6000000, (1077) = 107.7000000, (1078) = 107.8000000, (1079) = 107.9000000, (1080) = 108.0000000, (1081) = 108.1000000, (1082) = 108.2000000, (1083) = 108.3000000, (1084) = 108.4000000, (1085) = 108.5000000, (1086) = 108.6000000, (1087) = 108.7000000, (1088) = 108.8000000, (1089) = 108.9000000, (1090) = 109.0000000, (1091) = 109.1000000, (1092) = 109.2000000, (1093) = 109.3000000, (1094) = 109.4000000, (1095) = 109.5000000, (1096) = 109.6000000, (1097) = 109.7000000, (1098) = 109.8000000, (1099) = 109.9000000, (1100) = 110.0000000, (1101) = 110.1000000, (1102) = 110.2000000, (1103) = 110.3000000, (1104) = 110.4000000, (1105) = 110.5000000, (1106) = 110.6000000, (1107) = 110.7000000, (1108) = 110.8000000, (1109) = 110.9000000, (1110) = 111.0000000, (1111) = 111.1000000, (1112) = 111.2000000, (1113) = 111.3000000, (1114) = 111.4000000, (1115) = 111.5000000, (1116) = 111.6000000, (1117) = 111.7000000, (1118) = 111.8000000, (1119) = 111.9000000, (1120) = 112.0000000, (1121) = 112.1000000, (1122) = 112.2000000, (1123) = 112.3000000, (1124) = 112.4000000, (1125) = 112.5000000, (1126) = 112.6000000, (1127) = 112.7000000, (1128) = 112.8000000, (1129) = 112.9000000, (1130) = 113.0000000, (1131) = 113.1000000, (1132) = 113.2000000, (1133) = 113.3000000, (1134) = 113.4000000, (1135) = 113.5000000, (1136) = 113.6000000, (1137) = 113.7000000, (1138) = 113.8000000, (1139) = 113.9000000, (1140) = 114.0000000, (1141) = 114.1000000, (1142) = 114.2000000, (1143) = 114.3000000, (1144) = 114.4000000, (1145) = 114.5000000, (1146) = 114.6000000, (1147) = 114.7000000, (1148) = 114.8000000, (1149) = 114.9000000, (1150) = 115.0000000, (1151) = 115.1000000, (1152) = 115.2000000, (1153) = 115.3000000, (1154) = 115.4000000, (1155) = 115.5000000, (1156) = 115.6000000, (1157) = 115.7000000, (1158) = 115.8000000, (1159) = 115.9000000, (1160) = 116.0000000, (1161) = 116.1000000, (1162) = 116.2000000, (1163) = 116.3000000, (1164) = 116.4000000, (1165) = 116.5000000, (1166) = 116.6000000, (1167) = 116.7000000, (1168) = 116.8000000, (1169) = 116.9000000, (1170) = 117.0000000, (1171) = 117.1000000, (1172) = 117.2000000, (1173) = 117.3000000, (1174) = 117.4000000, (1175) = 117.5000000, (1176) = 117.6000000, (1177) = 117.7000000, (1178) = 117.8000000, (1179) = 117.9000000, (1180) = 118.0000000, (1181) = 118.1000000, (1182) = 118.2000000, (1183) = 118.3000000, (1184) = 118.4000000, (1185) = 118.5000000, (1186) = 118.6000000, (1187) = 118.7000000, (1188) = 118.8000000, (1189) = 118.9000000, (1190) = 119.0000000, (1191) = 119.1000000, (1192) = 119.2000000, (1193) = 119.3000000, (1194) = 119.4000000, (1195) = 119.5000000, (1196) = 119.6000000, (1197) = 119.7000000, (1198) = 119.8000000, (1199) = 119.9000000, (1200) = 120.0000000, (1201) = 120.1000000, (1202) = 120.2000000, (1203) = 120.3000000, (1204) = 120.4000000, (1205) = 120.5000000, (1206) = 120.6000000, (1207) = 120.7000000, (1208) = 120.8000000, (1209) = 120.9000000, (1210) = 121.0000000, (1211) = 121.1000000, (1212) = 121.2000000, (1213) = 121.3000000, (1214) = 121.4000000, (1215) = 121.5000000, (1216) = 121.6000000, (1217) = 121.7000000, (1218) = 121.8000000, (1219) = 121.9000000, (1220) = 122.0000000, (1221) = 122.1000000, (1222) = 122.2000000, (1223) = 122.3000000, (1224) = 122.4000000, (1225) = 122.5000000, (1226) = 122.6000000, (1227) = 122.7000000, (1228) = 122.8000000, (1229) = 122.9000000, (1230) = 123.0000000, (1231) = 123.1000000, (1232) = 123.2000000, (1233) = 123.3000000, (1234) = 123.4000000, (1235) = 123.5000000, (1236) = 123.6000000, (1237) = 123.7000000, (1238) = 123.8000000, (1239) = 123.9000000, (1240) = 124.0000000, (1241) = 124.1000000, (1242) = 124.2000000, (1243) = 124.3000000, (1244) = 124.4000000, (1245) = 124.5000000, (1246) = 124.6000000, (1247) = 124.7000000, (1248) = 124.8000000, (1249) = 124.9000000, (1250) = 125.0000000, (1251) = 125.1000000, (1252) = 125.2000000, (1253) = 125.3000000, (1254) = 125.4000000, (1255) = 125.5000000, (1256) = 125.6000000, (1257) = 125.7000000, (1258) = 125.8000000, (1259) = 125.9000000, (1260) = 126.0000000, (1261) = 126.1000000, (1262) = 126.2000000, (1263) = 126.3000000, (1264) = 126.4000000, (1265) = 126.5000000, (1266) = 126.6000000, (1267) = 126.7000000, (1268) = 126.8000000, (1269) = 126.9000000, (1270) = 127.0000000, (1271) = 127.1000000, (1272) = 127.2000000, (1273) = 127.3000000, (1274) = 127.4000000, (1275) = 127.5000000, (1276) = 127.6000000, (1277) = 127.7000000, (1278) = 127.8000000, (1279) = 127.9000000, (1280) = 128.0000000, (1281) = 128.1000000, (1282) = 128.2000000, (1283) = 128.3000000, (1284) = 128.4000000, (1285) = 128.5000000, (1286) = 128.6000000, (1287) = 128.7000000, (1288) = 128.8000000, (1289) = 128.9000000, (1290) = 129.0000000, (1291) = 129.1000000, (1292) = 129.2000000, (1293) = 129.3000000, (1294) = 129.4000000, (1295) = 129.5000000, (1296) = 129.6000000, (1297) = 129.7000000, (1298) = 129.8000000, (1299) = 129.9000000, (1300) = 130.0000000, (1301) = 130.1000000, (1302) = 130.2000000, (1303) = 130.3000000, (1304) = 130.4000000, (1305) = 130.5000000, (1306) = 130.6000000, (1307) = 130.7000000, (1308) = 130.8000000, (1309) = 130.9000000, (1310) = 131.0000000, (1311) = 131.1000000, (1312) = 131.2000000, (1313) = 131.3000000, (1314) = 131.4000000, (1315) = 131.5000000, (1316) = 131.6000000, (1317) = 131.7000000, (1318) = 131.8000000, (1319) = 131.9000000, (1320) = 132.0000000, (1321) = 132.1000000, (1322) = 132.2000000, (1323) = 132.3000000, (1324) = 132.4000000, (1325) = 132.5000000, (1326) = 132.6000000, (1327) = 132.7000000, (1328) = 132.8000000, (1329) = 132.9000000, (1330) = 133.0000000, (1331) = 133.1000000, (1332) = 133.2000000, (1333) = 133.3000000, (1334) = 133.4000000, (1335) = 133.5000000, (1336) = 133.6000000, (1337) = 133.7000000, (1338) = 133.8000000, (1339) = 133.9000000, (1340) = 134.0000000, (1341) = 134.1000000, (1342) = 134.2000000, (1343) = 134.3000000, (1344) = 134.4000000, (1345) = 134.5000000, (1346) = 134.6000000, (1347) = 134.7000000, (1348) = 134.8000000, (1349) = 134.9000000, (1350) = 135.0000000, (1351) = 135.1000000, (1352) = 135.2000000, (1353) = 135.3000000, (1354) = 135.4000000, (1355) = 135.5000000, (1356) = 135.6000000, (1357) = 135.7000000, (1358) = 135.8000000, (1359) = 135.9000000, (1360) = 136.0000000, (1361) = 136.1000000, (1362) = 136.2000000, (1363) = 136.3000000, (1364) = 136.4000000, (1365) = 136.5000000, (1366) = 136.6000000, (1367) = 136.7000000, (1368) = 136.8000000, (1369) = 136.9000000, (1370) = 137.0000000, (1371) = 137.1000000, (1372) = 137.2000000, (1373) = 137.3000000, (1374) = 137.4000000, (1375) = 137.5000000, (1376) = 137.6000000, (1377) = 137.7000000, (1378) = 137.8000000, (1379) = 137.9000000, (1380) = 138.0000000, (1381) = 138.1000000, (1382) = 138.2000000, (1383) = 138.3000000, (1384) = 138.4000000, (1385) = 138.5000000, (1386) = 138.6000000, (1387) = 138.7000000, (1388) = 138.8000000, (1389) = 138.9000000, (1390) = 139.0000000, (1391) = 139.1000000, (1392) = 139.2000000, (1393) = 139.3000000, (1394) = 139.4000000, (1395) = 139.5000000, (1396) = 139.6000000, (1397) = 139.7000000, (1398) = 139.8000000, (1399) = 139.9000000, (1400) = 140.0000000, (1401) = 140.1000000, (1402) = 140.2000000, (1403) = 140.3000000, (1404) = 140.4000000, (1405) = 140.5000000, (1406) = 140.6000000, (1407) = 140.7000000, (1408) = 140.8000000, (1409) = 140.9000000, (1410) = 141.0000000, (1411) = 141.1000000, (1412) = 141.2000000, (1413) = 141.3000000, (1414) = 141.4000000, (1415) = 141.5000000, (1416) = 141.6000000, (1417) = 141.7000000, (1418) = 141.8000000, (1419) = 141.9000000, (1420) = 142.0000000, (1421) = 142.1000000, (1422) = 142.2000000, (1423) = 142.3000000, (1424) = 142.4000000, (1425) = 142.5000000, (1426) = 142.6000000, (1427) = 142.7000000, (1428) = 142.8000000, (1429) = 142.9000000, (1430) = 143.0000000, (1431) = 143.1000000, (1432) = 143.2000000, (1433) = 143.3000000, (1434) = 143.4000000, (1435) = 143.5000000, (1436) = 143.6000000, (1437) = 143.7000000, (1438) = 143.8000000, (1439) = 143.9000000, (1440) = 144.0000000, (1441) = 144.1000000, (1442) = 144.2000000, (1443) = 144.3000000, (1444) = 144.4000000, (1445) = 144.5000000, (1446) = 144.6000000, (1447) = 144.7000000, (1448) = 144.8000000, (1449) = 144.9000000, (1450) = 145.0000000, (1451) = 145.1000000, (1452) = 145.2000000, (1453) = 145.3000000, (1454) = 145.4000000, (1455) = 145.5000000, (1456) = 145.6000000, (1457) = 145.7000000, (1458) = 145.8000000, (1459) = 145.9000000, (1460) = 146.0000000, (1461) = 146.1000000, (1462) = 146.2000000, (1463) = 146.3000000, (1464) = 146.4000000, (1465) = 146.5000000, (1466) = 146.6000000, (1467) = 146.7000000, (1468) = 146.8000000, (1469) = 146.9000000, (1470) = 147.0000000, (1471) = 147.1000000, (1472) = 147.2000000, (1473) = 147.3000000, (1474) = 147.4000000, (1475) = 147.5000000, (1476) = 147.6000000, (1477) = 147.7000000, (1478) = 147.8000000, (1479) = 147.9000000, (1480) = 148.0000000, (1481) = 148.1000000, (1482) = 148.2000000, (1483) = 148.3000000, (1484) = 148.4000000, (1485) = 148.5000000, (1486) = 148.6000000, (1487) = 148.7000000, (1488) = 148.8000000, (1489) = 148.9000000, (1490) = 149.0000000, (1491) = 149.1000000, (1492) = 149.2000000, (1493) = 149.3000000, (1494) = 149.4000000, (1495) = 149.5000000, (1496) = 149.6000000, (1497) = 149.7000000, (1498) = 149.8000000, (1499) = 149.9000000, (1500) = 150.0000000, (1501) = 150.1000000, (1502) = 150.2000000, (1503) = 150.3000000, (1504) = 150.4000000, (1505) = 150.5000000, (1506) = 150.6000000, (1507) = 150.7000000, (1508) = 150.8000000, (1509) = 150.9000000, (1510) = 151.0000000, (1511) = 151.1000000, (1512) = 151.2000000, (1513) = 151.3000000, (1514) = 151.4000000, (1515) = 151.5000000, (1516) = 151.6000000, (1517) = 151.7000000, (1518) = 151.8000000, (1519) = 151.9000000, (1520) = 152.0000000, (1521) = 152.1000000, (1522) = 152.2000000, (1523) = 152.3000000, (1524) = 152.4000000, (1525) = 152.5000000, (1526) = 152.6000000, (1527) = 152.7000000, (1528) = 152.8000000, (1529) = 152.9000000, (1530) = 153.0000000, (1531) = 153.1000000, (1532) = 153.2000000, (1533) = 153.3000000, (1534) = 153.4000000, (1535) = 153.5000000, (1536) = 153.6000000, (1537) = 153.7000000, (1538) = 153.8000000, (1539) = 153.9000000, (1540) = 154.0000000, (1541) = 154.1000000, (1542) = 154.2000000, (1543) = 154.3000000, (1544) = 154.4000000, (1545) = 154.5000000, (1546) = 154.6000000, (1547) = 154.7000000, (1548) = 154.8000000, (1549) = 154.9000000, (1550) = 155.0000000, (1551) = 155.1000000, (1552) = 155.2000000, (1553) = 155.3000000, (1554) = 155.4000000, (1555) = 155.5000000, (1556) = 155.6000000, (1557) = 155.7000000, (1558) = 155.8000000, (1559) = 155.9000000, (1560) = 156.0000000, (1561) = 156.1000000, (1562) = 156.2000000, (1563) = 156.3000000, (1564) = 156.4000000, (1565) = 156.5000000, (1566) = 156.6000000, (1567) = 156.7000000, (1568) = 156.8000000, (1569) = 156.9000000, (1570) = 157.0000000, (1571) = 157.1000000, (1572) = 157.2000000, (1573) = 157.3000000, (1574) = 157.4000000, (1575) = 157.5000000, (1576) = 157.6000000, (1577) = 157.7000000, (1578) = 157.8000000, (1579) = 157.9000000, (1580) = 158.0000000, (1581) = 158.1000000, (1582) = 158.2000000, (1583) = 158.3000000, (1584) = 158.4000000, (1585) = 158.5000000, (1586) = 158.6000000, (1587) = 158.7000000, (1588) = 158.8000000, (1589) = 158.9000000, (1590) = 159.0000000, (1591) = 159.1000000, (1592) = 159.2000000, (1593) = 159.3000000, (1594) = 159.4000000, (1595) = 159.5000000, (1596) = 159.6000000, (1597) = 159.7000000, (1598) = 159.8000000, (1599) = 159.9000000, (1600) = 160.0000000, (1601) = 160.1000000, (1602) = 160.2000000, (1603) = 160.3000000, (1604) = 160.4000000, (1605) = 160.5000000, (1606) = 160.6000000, (1607) = 160.7000000, (1608) = 160.8000000, (1609) = 160.9000000, (1610) = 161.0000000, (1611) = 161.1000000, (1612) = 161.2000000, (1613) = 161.3000000, (1614) = 161.4000000, (1615) = 161.5000000, (1616) = 161.6000000, (1617) = 161.7000000, (1618) = 161.8000000, (1619) = 161.9000000, (1620) = 162.0000000, (1621) = 162.1000000, (1622) = 162.2000000, (1623) = 162.3000000, (1624) = 162.4000000, (1625) = 162.5000000, (1626) = 162.6000000, (1627) = 162.7000000, (1628) = 162.8000000, (1629) = 162.9000000, (1630) = 163.0000000, (1631) = 163.1000000, (1632) = 163.2000000, (1633) = 163.3000000, (1634) = 163.4000000, (1635) = 163.5000000, (1636) = 163.6000000, (1637) = 163.7000000, (1638) = 163.8000000, (1639) = 163.9000000, (1640) = 164.0000000, (1641) = 164.1000000, (1642) = 164.2000000, (1643) = 164.3000000, (1644) = 164.4000000, (1645) = 164.5000000, (1646) = 164.6000000, (1647) = 164.7000000, (1648) = 164.8000000, (1649) = 164.9000000, (1650) = 165.0000000, (1651) = 165.1000000, (1652) = 165.2000000, (1653) = 165.3000000, (1654) = 165.4000000, (1655) = 165.5000000, (1656) = 165.6000000, (1657) = 165.7000000, (1658) = 165.8000000, (1659) = 165.9000000, (1660) = 166.0000000, (1661) = 166.1000000, (1662) = 166.2000000, (1663) = 166.3000000, (1664) = 166.4000000, (1665) = 166.5000000, (1666) = 166.6000000, (1667) = 166.7000000, (1668) = 166.8000000, (1669) = 166.9000000, (1670) = 167.0000000, (1671) = 167.1000000, (1672) = 167.2000000, (1673) = 167.3000000, (1674) = 167.4000000, (1675) = 167.5000000, (1676) = 167.6000000, (1677) = 167.7000000, (1678) = 167.8000000, (1679) = 167.9000000, (1680) = 168.0000000, (1681) = 168.1000000, (1682) = 168.2000000, (1683) = 168.3000000, (1684) = 168.4000000, (1685) = 168.5000000, (1686) = 168.6000000, (1687) = 168.7000000, (1688) = 168.8000000, (1689) = 168.9000000, (1690) = 169.0000000, (1691) = 169.1000000, (1692) = 169.2000000, (1693) = 169.3000000, (1694) = 169.4000000, (1695) = 169.5000000, (1696) = 169.6000000, (1697) = 169.7000000, (1698) = 169.8000000, (1699) = 169.9000000, (1700) = 170.0000000, (1701) = 170.1000000, (1702) = 170.2000000, (1703) = 170.3000000, (1704) = 170.4000000, (1705) = 170.5000000, (1706) = 170.6000000, (1707) = 170.7000000, (1708) = 170.8000000, (1709) = 170.9000000, (1710) = 171.0000000, (1711) = 171.1000000, (1712) = 171.2000000, (1713) = 171.3000000, (1714) = 171.4000000, (1715) = 171.5000000, (1716) = 171.6000000, (1717) = 171.7000000, (1718) = 171.8000000, (1719) = 171.9000000, (1720) = 172.0000000, (1721) = 172.1000000, (1722) = 172.2000000, (1723) = 172.3000000, (1724) = 172.4000000, (1725) = 172.5000000, (1726) = 172.6000000, (1727) = 172.7000000, (1728) = 172.8000000, (1729) = 172.9000000, (1730) = 173.0000000, (1731) = 173.1000000, (1732) = 173.2000000, (1733) = 173.3000000, (1734) = 173.4000000, (1735) = 173.5000000, (1736) = 173.6000000, (1737) = 173.7000000, (1738) = 173.8000000, (1739) = 173.9000000, (1740) = 174.0000000, (1741) = 174.1000000, (1742) = 174.2000000, (1743) = 174.3000000, (1744) = 174.4000000, (1745) = 174.5000000, (1746) = 174.6000000, (1747) = 174.7000000, (1748) = 174.8000000, (1749) = 174.9000000, (1750) = 175.0000000, (1751) = 175.1000000, (1752) = 175.2000000, (1753) = 175.3000000, (1754) = 175.4000000, (1755) = 175.5000000, (1756) = 175.6000000, (1757) = 175.7000000, (1758) = 175.8000000, (1759) = 175.9000000, (1760) = 176.0000000, (1761) = 176.1000000, (1762) = 176.2000000, (1763) = 176.3000000, (1764) = 176.4000000, (1765) = 176.5000000, (1766) = 176.6000000, (1767) = 176.7000000, (1768) = 176.8000000, (1769) = 176.9000000, (1770) = 177.0000000, (1771) = 177.1000000, (1772) = 177.2000000, (1773) = 177.3000000, (1774) = 177.4000000, (1775) = 177.5000000, (1776) = 177.6000000, (1777) = 177.7000000, (1778) = 177.8000000, (1779) = 177.9000000, (1780) = 178.0000000, (1781) = 178.1000000, (1782) = 178.2000000, (1783) = 178.3000000, (1784) = 178.4000000, (1785) = 178.5000000, (1786) = 178.6000000, (1787) = 178.7000000, (1788) = 178.8000000, (1789) = 178.9000000, (1790) = 179.0000000, (1791) = 179.1000000, (1792) = 179.2000000, (1793) = 179.3000000, (1794) = 179.4000000, (1795) = 179.5000000, (1796) = 179.6000000, (1797) = 179.7000000, (1798) = 179.8000000, (1799) = 179.9000000, (1800) = 180.0000000, (1801) = 180.1000000, (1802) = 180.2000000, (1803) = 180.3000000, (1804) = 180.4000000, (1805) = 180.5000000, (1806) = 180.6000000, (1807) = 180.7000000, (1808) = 180.8000000, (1809) = 180.9000000, (1810) = 181.0000000, (1811) = 181.1000000, (1812) = 181.2000000, (1813) = 181.3000000, (1814) = 181.4000000, (1815) = 181.5000000, (1816) = 181.6000000, (1817) = 181.7000000, (1818) = 181.8000000, (1819) = 181.9000000, (1820) = 182.0000000, (1821) = 182.1000000, (1822) = 182.2000000, (1823) = 182.3000000, (1824) = 182.4000000, (1825) = 182.5000000, (1826) = 182.6000000, (1827) = 182.7000000, (1828) = 182.8000000, (1829) = 182.9000000, (1830) = 183.0000000, (1831) = 183.1000000, (1832) = 183.2000000, (1833) = 183.3000000, (1834) = 183.4000000, (1835) = 183.5000000, (1836) = 183.6000000, (1837) = 183.7000000, (1838) = 183.8000000, (1839) = 183.9000000, (1840) = 184.0000000, (1841) = 184.1000000, (1842) = 184.2000000, (1843) = 184.3000000, (1844) = 184.4000000, (1845) = 184.5000000, (1846) = 184.6000000, (1847) = 184.7000000, (1848) = 184.8000000, (1849) = 184.9000000, (1850) = 185.0000000, (1851) = 185.1000000, (1852) = 185.2000000, (1853) = 185.3000000, (1854) = 185.4000000, (1855) = 185.5000000, (1856) = 185.6000000, (1857) = 185.7000000, (1858) = 185.8000000, (1859) = 185.9000000, (1860) = 186.0000000, (1861) = 186.1000000, (1862) = 186.2000000, (1863) = 186.3000000, (1864) = 186.4000000, (1865) = 186.5000000, (1866) = 186.6000000, (1867) = 186.7000000, (1868) = 186.8000000, (1869) = 186.9000000, (1870) = 187.0000000, (1871) = 187.1000000, (1872) = 187.2000000, (1873) = 187.3000000, (1874) = 187.4000000, (1875) = 187.5000000, (1876) = 187.6000000, (1877) = 187.7000000, (1878) = 187.8000000, (1879) = 187.9000000, (1880) = 188.0000000, (1881) = 188.1000000, (1882) = 188.2000000, (1883) = 188.3000000, (1884) = 188.4000000, (1885) = 188.5000000, (1886) = 188.6000000, (1887) = 188.7000000, (1888) = 188.8000000, (1889) = 188.9000000, (1890) = 189.0000000, (1891) = 189.1000000, (1892) = 189.2000000, (1893) = 189.3000000, (1894) = 189.4000000, (1895) = 189.5000000, (1896) = 189.6000000, (1897) = 189.7000000, (1898) = 189.8000000, (1899) = 189.9000000, (1900) = 190.0000000, (1901) = 190.1000000, (1902) = 190.2000000, (1903) = 190.3000000, (1904) = 190.4000000, (1905) = 190.5000000, (1906) = 190.6000000, (1907) = 190.7000000, (1908) = 190.8000000, (1909) = 190.9000000, (1910) = 191.0000000, (1911) = 191.1000000, (1912) = 191.2000000, (1913) = 191.3000000, (1914) = 191.4000000, (1915) = 191.5000000, (1916) = 191.6000000, (1917) = 191.7000000, (1918) = 191.8000000, (1919) = 191.9000000, (1920) = 192.0000000, (1921) = 192.1000000, (1922) = 192.2000000, (1923) = 192.3000000, (1924) = 192.4000000, (1925) = 192.5000000, (1926) = 192.6000000, (1927) = 192.7000000, (1928) = 192.8000000, (1929) = 192.9000000, (1930) = 193.0000000, (1931) = 193.1000000, (1932) = 193.2000000, (1933) = 193.3000000, (1934) = 193.4000000, (1935) = 193.5000000, (1936) = 193.6000000, (1937) = 193.7000000, (1938) = 193.8000000, (1939) = 193.9000000, (1940) = 194.0000000, (1941) = 194.1000000, (1942) = 194.2000000, (1943) = 194.3000000, (1944) = 194.4000000, (1945) = 194.5000000, (1946) = 194.6000000, (1947) = 194.7000000, (1948) = 194.8000000, (1949) = 194.9000000, (1950) = 195.0000000, (1951) = 195.1000000, (1952) = 195.2000000, (1953) = 195.3000000, (1954) = 195.4000000, (1955) = 195.5000000, (1956) = 195.6000000, (1957) = 195.7000000, (1958) = 195.8000000, (1959) = 195.9000000, (1960) = 196.0000000, (1961) = 196.1000000, (1962) = 196.2000000, (1963) = 196.3000000, (1964) = 196.4000000, (1965) = 196.5000000, (1966) = 196.6000000, (1967) = 196.7000000, (1968) = 196.8000000, (1969) = 196.9000000, (1970) = 197.0000000, (1971) = 197.1000000, (1972) = 197.2000000, (1973) = 197.3000000, (1974) = 197.4000000, (1975) = 197.5000000, (1976) = 197.6000000, (1977) = 197.7000000, (1978) = 197.8000000, (1979) = 197.9000000, (1980) = 198.0000000, (1981) = 198.1000000, (1982) = 198.2000000, (1983) = 198.3000000, (1984) = 198.4000000, (1985) = 198.5000000, (1986) = 198.6000000, (1987) = 198.7000000, (1988) = 198.8000000, (1989) = 198.9000000, (1990) = 199.0000000, (1991) = 199.1000000, (1992) = 199.2000000, (1993) = 199.3000000, (1994) = 199.4000000, (1995) = 199.5000000, (1996) = 199.6000000, (1997) = 199.7000000, (1998) = 199.8000000, (1999) = 199.9000000, (2000) = 200.0000000})

for i to 2000 do
  v(i):=i/10.  #note v(i) not v[i]
end do:

v[25];

2.500000000

 


 

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