function [board, orientation] = solver(tiles, boardSize)
orientation = ones(size(tiles,1), 1);
ntiles = size(tiles,1);
board = zeros(boardSize);
played = discardUnplayed(ntiles-numel(board), tiles);
if (ntiles-numel(board)<0)
height=min([ceil(sqrt(ntiles)) boardSize(1)]);
if (ntiles/boardSize(2))>height
height=ceil(ntiles/boardSize(2));
end
else
ntiles=numel(board);
height=boardSize(1);
end
for k=1:ntiles
[y,x]=ind2sub([height,boardSize(2)],k);
board(y,x)=-1;
end
last = [y,x];
list = played;
[board,orientation,list] = place([1 height],1:last(2),board,played,list,orientation,ntiles);
[board,orientation,list] = place(1:height,[1 last(2)],board,played,list,orientation,ntiles);
[board,orientation,list] = place(height-1:-1:2,boardSize(2)-1:-1:2,board,played,list,orientation,ntiles);
end
function [brd, ort, lst] = place(rowRange, colRange, board, tiles, list, orientation, ntiles)
k = 1;
brd = board;
ort = orientation;
lst = list;
for y=rowRange
for x=colRange
if (brd(y,x)==-1)
[n,e,s,w] = findBoundaries(brd, tiles, ort, y, x);
[t, o] = findBestTile(lst, n, e, s, w);
ort(t) = o;
brd(y,x)=t;
lst(t,1)=nan;
k = k + 1;
if (k > ntiles)
return;
end
end
end
end
end
function [played] = discardUnplayed(numUnplayed, tiles)
played = tiles;
sums = sum(tiles(:,[1 3 4]),2);
for i = 1:numUnplayed
[~, m]=min(sums);
played(m,1)=nan;
sums(m)=nan;
end
end
function [tile, orientation] = findBestTile(list, north, east, south, west)
score = zeros(size(list,1),4);
cs = [1 2 3 4; 2 3 4 1; 3 4 1 2; 4 1 2 3];
grid = ones(size(list,1),1)*[north east south west];
for i=1:4
temp = abs(list(:,cs(i,:))-grid);
temp(isinf(temp))=0;
score(:,i) = sum(temp,2);
end
[ms, t] = min(score);
[~, orientation] = min(ms);
tile = t(orientation);
% [t, o] = find(score==min(score(:)));
% %[~, which] = max(mean(t,2));
% which = 1;%round(length(t)/2);%round(rand*(length(t)-1)+1);
% tile = t(which);
% orientation = o(which);
end
function [north, east, south, west] = findBoundaries(board, tiles, orientation, row, col)
north = boundary(board,tiles,orientation,row-1,col,3);
south = boundary(board,tiles,orientation,row+1,col,1);
west = boundary(board,tiles,orientation,row,col-1,2);
east = boundary(board,tiles,orientation,row,col+1,4);
end
function [value] = boundary(board,tiles,orientation,row,col,id)
cs = [1 2 3 4; 2 3 4 1; 3 4 1 2; 4 1 2 3];
try
if (board(row,col)==0)
value = 0;
elseif (board(row,col)==-1)
value = inf;
else
tile = tiles(board(row,col),cs(orientation(board(row,col)),:));
value = tile(id);
end
catch
value = 0;
end
end
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