function retval = dalembert()
p=0.48648649; % probability of winning on even chance
r=0.01332586; % imprison rule - push probability
q=1-p-r; % probability of losing
%   L   W   1   2   3   4   5   6   7   8   9  10
m = \
[ [ 1,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0]; %  L
  [ 0,  1,  0,  0,  0,  0,  0,  0,  0,  0,  0,  0]; %  W
  [ 0,  p,  r,  q,  0,  0,  0,  0,  0,  0,  0,  0]; %  1
  [ 0,  0,  p,  r,  q,  0,  0,  0,  0,  0,  0,  0]; %  2
  [ 0,  0,  0,  p,  r,  q,  0,  0,  0,  0,  0,  0]; %  3
  [ 0,  0,  0,  0,  p,  r,  q,  0,  0,  0,  0,  0]; %  4
  [ 0,  0,  0,  0,  0,  p,  r,  q,  0,  0,  0,  0]; %  5
  [ 0,  0,  0,  0,  0,  0,  p,  r,  q,  0,  0,  0]; %  6
  [ 0,  0,  0,  0,  0,  0,  0,  p,  r,  q,  0,  0]; %  7
  [ 0,  0,  0,  0,  0,  0,  0,  0,  p,  r,  q,  0]; %  8
  [ 0,  0,  0,  0,  0,  0,  0,  0,  0,  p,  r,  q]; %  9
  [ q,  0,  0,  0,  0,  0,  0,  0,  0,  0,  p,  r]; % 10
];
result = m^1280;
retval = result(:,1:2);
endfunction
