Working in Matlab with random walks. This is my code to plot the distance of 5000 random walkers in histograms at times t1=100, t2=200 and t3=300. I was wondering if someone could help me condense some of the lines to make it neater (the repeated parts in the for loop and then again with the subplots at the end). Been trying it for a couple of hours with no luck. Thanks.

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Here is the rw function called in the below script:

function[x,y] = rw(t)

x = zeros(1,t+1); y = zeros(1,t+1);

for i = 1:t ang = 2*pi*rand(1); x(i+1) = x(i)+cos(ang); y(i+1) = y(i)+sin(ang);

end

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The Script:

n=5000; t1=100; t2=200; t3=300;

xt1=zeros(1,n); yt1=zeros(1,n);

xt2=zeros(1,n); yt2=zeros(1,n);

xt3=zeros(1,n); yt3=zeros(1,n);

for i = 1:n [x,y] = rw(t1); xt1(i)=x(t1+1); yt1(i)=y(t1+1); d1(i) = hypot(xt1(i), yt1(i)); end

for i = 1:n [x,y] = rw(t2); xt2(i)=x(t2+1); yt2(i)=y(t2+1); d2(i) = hypot(xt2(i), yt2(i)); end

for i = 1:n [x,y] = rw(t3); xt3(i)=x(t3+1); yt3(i)=y(t3+1); d3(i) = hypot(xt3(i), yt3(i)); end

f1 = subplot(1,3,1); hist(d1, 1:2:50)

f2 = subplot(1,3,2); hist(d2, 1:2:50)

f3 = subplot(1,3,3); hist(d3, 1:2:50)