📄 assignment1.asv
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clear;
max_t=zeros(5,1);
max_f=zeros(5,1);
inc=1;
for N=100:100:500
M=100;
for i=1:N
x(i)=rand(1)*M;
y(i)=rand(1)*M;
end
x(1)=M*0.95;y(1)=M*0.95;
neighbour=zeros(N,N*0.2);
for i=1:N
n(i)=1;
for j=1:N
if (x(i)-x(j))^2+(y(i)-y(j))^2<M^2*0.04 & i~=j
neighbour(i,n(i))=j;
n(i)=n(i)+1;
end
end
n(i)=n(i)-1;
end
hop=N*ones(N,1);hop(1)=0;k=0;computed=1;visited=zeros(N,1);d=0;
while computed<=N
for i=1:N
for j=1:n(i)
if hop(neighbour(i,j))==k && visited(i)==0
hop(i)=k+1;
visited(i)=1;
computed=computed+1;
end
d=d+1;
end
end
k=k+1;
end
parent=ones(N,1);children=zeros(N,N*0.2);c=ones(N,1);hop(1)=0;
for i=1:N
k=i;
for j=1:n(i)
temp=neighbour(i,j);
if hop(temp)<hop(k) | (hop(temp)==hop(k) & c(temp)<c(k))
k=temp;
end
end
if k~=i
parent(i)=k;
children(k,c(k))=i;
c(k)=c(k)+1;
end
end
for i=1:N
c(i)=c(i)-1;
end
parent(1)=1;
for i=1:N
if c(parent(i))~=0
b(i)=c(parent(i))-1;
end
for j=1:b(i)
brother(i,j)=children(parent(i),j);
end
end
t=zeros(N,1);
f=zeros(N,1);
u=1;v=1;
t(u)=1;f(u)=1;
k=1;computed=0;
p=1;q=1;i=1;
visited=zeros(N+1,1);visited(1)=1;
max_t(inc)=1;max_f(inc)=1;d=1;
while k<N & d<20*N
if children(u,v)~=0
if visited(children(u,v))==0
u=children(u,v);
p=1;q=1;i=1;
l(u)=0;
for i=1:b(u)
l(u)=l(u)+1;
d(u,l(u))=brother(u,i);
end
for i=1:n(parent(u))
l(u)=l(u)+1;
d(u,l(u))=neighbour(parent(u),i);
end
for i=1:n(u)
for j=1:c(neighbour(u,i))
l(u)=l(u)+1;
d(u,l(u))=children(neighbour(u,i),j);
end
end
l(u)=l(u)+1;
d(u,l(u))=parent(u);
while i~=l(u)+1
i=1;
while i<=l(u)
if p==t(d(u,i))
p=p+1;
break;
end
i=i+1;
end
end
t(u)=p;f(u)=q;
if t(u)>max_t(inc)
max_t(inc)=t(u);
end
if f(u)>max_f(inc)
max_f(inc)=f(u);
end
visited(u)=1;
k=k+1;
v=1;
end
end
if children(u,v)==0
u=parent(u);
v=1;
else if visited(children(u,v))==1
v=v+1;
end
end
d=d+1;
end
inc=inc+1;
end
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