📄 assignment.m
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clear;
N=100;
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;
plot(x,y,'o',x(1),y(1),'*');
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
end
hop=N*ones(N,1);hop(1)=0;k=0;computed=1;visited=zeros(N,1);
while computed<=N
for i=1:N
for j=1:n(i)-1
if hop(neighbour(i,j))==k && visited(i)==0
hop(i)=k+1;
visited(i)=1;
computed=computed+1;
end
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)-1
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
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
for i=1:N
cordinate_x(1)=x(i);cordinate_x(2)=x(parent(i));cordinate_y(1)=y(i);cordinate_y(2)=y(parent(i));
% line(cordinate_x,cordinate_y);
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=1;max_f=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;
while i~=n(u)
i=1;
while i<n(u)
if p==t(neighbour(u,i))| p==t(parent(u))
p=p+1;
break;
end
i=i+1;
end
end
% i=1;
% while i~=n(u)
% i=1;
% while i<n(u)
% if q==f(neighbour(u,i))
% q=q+1;
% break;
% end
% i=i+1;
% end
% end
i=1;
while i~=h(u)
i=1;
while i<h(u)
if q==f(brother(u,i))| q==f(parent(u))
q=q+1;
break;
end
i=i+1;
end
end
% if u==1
% q=1;
% else
% while i~=b(u)
% i=1;
% while i<b(u)
% if q==f(brother(u,i))| q==f(parent(u))| q==f(parent(parent(u)))
% q=q+1;
% break;
% end
% i=i+1;
% end
% end
% end
t(u)=p;f(u)=q;
if t(u)>max_t
max_t=t(u);
end
if f(u)>max_f
max_f=f(u);
end
visited(u)=1;
k=k+1;
text(x(u)+2,y(u)+2,num2str(t(u)));
% text(x(u)-2,y(u)-2,num2str(f(u)));
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
%max_t
%max_f
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