% "Input vars"

N = 30;
M = 5;

% Random steps

dx = ones(N,M);
dy = 2*round(rand(N,M))-1;

% Make our path vectors
x = cumsum(dx); y = cumsum(dy);

% Set up the figure
figure(1), clf, hold on
style = {'k','g','r','b','c'};

% Make the plot of the paths
for i=1:M
  plot(x(:,i),y(:,i),style{mod(i,length(style))+1})
end

% Make the endpoints black dots.
plot(x(N,:),y(N,:),'k.','MarkerSize',30)