function board = solver(words, weights, n, penalty)
%% solver 1, weight per char, every other row
% setup vars
col = 1;
row = 1;
spaceavail=1;
item=1;
weightsum=0;
% pre populate board
board=zeros(n);
%construct length array, in sorted order
for x=1:size(words,2)
len(x)=size(words{x},2);
end
% find weight per char
[vals,locs]=sort(weights./len,2,'descend');
len=len(locs);
while spaceavail
% insert word into board at current location
if (col+len(item)-1) <= n
board(row,col:(col+len(item)-1))=words{locs(item)};
col = col+len(item)+1;
if col >=n
col=1;
row=row+2;
end
weightsum=weightsum+weights(locs(item));
len(item)=[];
locs(item)=[];
item=1;
else
item=item+1;
if item > numel(len)
item=1;
col=1;
row=row+2;
end
end
if row > n
spaceavail=0;
end
end
%% solver 2, weight per char, stagger step rows
% setup vars
col = 1;
row = 1;
spaceavail=1;
item=1;
weightsum2=0;
alt=0;
skipnextrow=0;
% pre populate board
board2=zeros(n);
%construct length array, in sorted order
for x=1:size(words,2)
len(x)=size(words{x},2);
end
% find weight per char
[vals,locs]=sort(weights./len,2,'descend');
len=len(locs);
curlen=len(1);
while spaceavail
% insert word into board at current location
if (col+len(item)-1) <= n
board2(row+alt,col:(col+len(item)-1))=words{locs(item)};
col = col+len(item);
if (curlen ~= len(item)) && (row > 1) && (row < n)
if nnz(board2(row-1,(col-len(item)):end)) > 0
board2(row+1:row+2,:)=board2(row:row+1,:);
board2(row,:)=zeros(1,n);
row=row+1;
end
curlen = len(item);
skipnextrow=1;
end
if alt
alt=0;
else
alt=1;
end
if row == n
alt=0;
col=col+len(item);
end
if col >=n
col=1;
row=row+2+skipnextrow;
skipnextrow=0;
alt=0;
end
weightsum2=weightsum2+weights(locs(item));
len(item)=[];
locs(item)=[];
item=1;
else
item=item+1;
if item > numel(len)
item=1;
col=1;
row=row+2+skipnextrow;
skipnextrow=0;
alt=0;
end
end
if row > n
spaceavail=0;
end
end
if weightsum2>weightsum
board=board2;
weightsum=weightsum2;
end
%% solver 3, length per char, stagger step rows
% setup vars
col = 1;
row = 1;
spaceavail=1;
item=1;
weightsum2=0;
alt=0;
skipnextrow=0;
% pre populate board
board2=zeros(n);
%construct length array, in sorted order
for x=1:size(words,2)
len(x)=size(words{x},2);
end
% find weight per char
[vals,locs]=sort(len,2,'ascend');
len=len(locs);
curlen=len(1);
while spaceavail
% insert word into board at current location
if (col+len(item)-1) <= n
board2(row+alt,col:(col+len(item)-1))=words{locs(item)};
col = col+len(item);
if (curlen ~= len(item)) && (row > 1) && (row < n)
board2(row+1:row+2,:)=board2(row:row+1,:);
board2(row,:)=zeros(1,n);
row=row+1;
curlen = len(item);
skipnextrow=1;
end
if alt
alt=0;
else
alt=1;
end
if row == n
alt=0;
col=col+len(item);
end
if col >=n
col=1;
row=row+2+skipnextrow;
skipnextrow=0;
alt=0;
end
weightsum2=weightsum2+weights(locs(item));
len(item)=[];
locs(item)=[];
item=1;
else
item=item+1;
if item > numel(len)
item=1;
col=1;
row=row+2+skipnextrow;
skipnextrow=0;
alt=0;
end
end
if row > n
spaceavail=0;
end
end
if weightsum2>weightsum
board=board2;
weightsum=weightsum2;
end
end
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