| Code: |
function finalAnswer = solver(numPegs,numColors,guessLimit,puzzleID)
small = (numColors^numPegs < 1e6);
small = (numColors^numPegs < 1e4);
if (small) % a sieve for small puzzles
boards = make(numPegs, numColors);
nb = size(boards,2);
nguess = 0;
sg = 0;
while (nb > 1) & (nguess <= guessLimit)
guess = boards(:,ceil(rand * nb));
[black,white,nguess]=scoreme(guess',puzzleID);
boards = prune(black, white, guess, boards, numColors);
nb = size(boards,2);
end
finalAnswer = boards(:,ceil(rand * nb))';
return
end % ifsmall
[cs,numCallsMade,fr,finalAnswer,lsr] = findcols(numPegs,numColors,guessLimit,puzzleID);
if lsr>= numPegs | numCallsMade>= guessLimit | isempty(cs)
return;
end
[rows,cols] = size(cs); % to cancel consequentive calls to size().
% for i = 1:size(cs,1)
for i = 1:rows
[ind,numCallsMade] = ffc(finalAnswer,fr,cs(i,2),cs(i,1),lsr,guessLimit,puzzleID);
finalAnswer(fr(ind)) = cs(i,1);
fr(ind) = [];
if numCallsMade >= guessLimit,
for j = i+1:rows
finalAnswer(fr(1:cs(j,2))) = cs(j,1);
fr = fr(cs(j,2)+1:end);
end;
return;
end;
lsr = lsr + cs(i,2);
if lsr >= numPegs,
return;
end;
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [ind,numCallsMade] = ffc(gs,x,n,col,b0,gsLim,puzzleID)
if length(x) == n,
ind = 1:n;
numCallsMade = 0;
return;
end;
if (length(x)<14) & (n~= 1)
[ind,numCallsMade] = ffclp(gs,x,n,col,b0,gsLim,puzzleID);
return;
end
i = floor(length(x)/2);
g = gs;
g(x(1:i)) = col;
[black,white,numCallsMade] = scoreme(g,puzzleID);
nv = n-black+b0;
if black>b0,
if numCallsMade>= gsLim,
ind = [1:black-b0,(i+1:i+nv)];
return;
end;
[i1,numCallsMade] = ffc(gs,x(1:i),black-b0,col,b0,gsLim,puzzleID);
if numCallsMade>= gsLim,
ind = [i1,(i+1:i+nv)];
return;
end
elseif numCallsMade>= gsLim,
ind = i+1:i+nv;
return;
else
i1 = [];
end
if nv,
[i2,numCallsMade] = ffc(gs,x(i+1:end),nv,col,b0,gsLim,puzzleID);
i2 = i2+i;
else
i2 = [];
end;
ind = [i1 i2];
function boards = prune(black, white, guess, boards, nc)
nb = size(boards,2);
boards(:, sum(repmat(guess,1,nb) == boards) ~= black) = [];
nb = size(boards,2);
if nb > 0
w = sum(min(repmat(histc(guess, 1:nc),1,nb), histc(boards, 1:nc))) ~= (black+white);
boards(:, w) = [];
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [cs,numCallsMade,fr,a,lsr] = findcols(numPegs,numColors,guessLimit,puzzleID)
fr = 1:numPegs; %Unidentified columns?
cs = zeros(numColors,2); % Second column is number of unidentified pegs of a given color
a = ones(1,numPegs); %Our guess
T = 0;
j = 0;
k = 1;
colors_found=[];
lsr = 0; %Number of pegs identified?
l = 1; %The secondary color we're testing
mc = 0;
for i = 1:numColors-1
a(fr) = i;
if l<= j
a(fr(k)) = cs(l,1);
[black,white,numCallsMade] = scoreme(a,puzzleID);
black = black + white - 1 - lsr;
if white
if white>1
a(fr(k)) = i;
fr(k) = [];
lsr = lsr + 1;
black = black - 1;
T = T + 1;
else
k = k + 1;
end
else
fr(k) = [];
cs(l,2) = cs(l,2)-1;
lsr = lsr+1;
if cs(l,2)==0
mc = cs(l,1);
% l = l+1;
colors_found=[colors_found l];
if sum(cs(:,2))~=0
[buh,l]=max(cs(:,2));
else
l=l+1;
end;
k = 1;
end;
end;
else
[black,white,numCallsMade] = scoreme(a,puzzleID);
black = black-lsr;
end
if black,
j = j+1;
cs(j,:) = [i,black];
T = T+black;
else
mc = i;
end
if numCallsMade>= guessLimit | T>= numPegs,
break;
end;
end
if T<numPegs,
j = j+1;
cs(j,:) = cat(2,numColors,numPegs-T);
% cs(j,:) = [numColors,numPegs-T];
end;
%cs = cs(l:j,:);
cs=cs(setdiff(1:j,colors_found),:);
if isempty(cs),
lsr = numPegs;
return;
elseif size(cs,1) == 1;
a(fr) = cs(1,1);
lsr = numPegs;
return;
end
if numCallsMade>= guessLimit,
j = 1;
for i = 1:size(cs,1)
a(fr(j:j+cs(i,2)-1)) = cs(i,1);
j = j+cs(i,2);
end
lsr = numPegs;
return;
end
if mc,
a(fr) = mc;
[i,j] = sort(-cs(:,2));
cs = cs(j,:);
else
cs = cs([2 1 3:end],:);
i = k; n1 = cs(1,2);
n2 = cs(2,2);
c1 = cs(1,1);
c2 = cs(2,1);
a(fr) = c1;
while n2
a(fr(i)) = c2;
[black,white,numCallsMade] = scoreme(a,puzzleID);
if white==0
fr(i) = [];
n2 = n2-1;
lsr = lsr+1;
else
a(fr(i)) = c1;
i = i+1;
end
if numCallsMade>= guessLimit,
a(fr(1:n2)) = c2;
fr = fr(n2+1:end);
for i = 3:size(cs,1)
a(fr(1:cs(i,2))) = cs(i,1);
fr = fr(cs(i,2)+1:end);
end;
lsr = numPegs;
return;
end;
end;
a(fr) = c2;
cs(2,:) = [];
[i,j] = sort(-cs(:,2));
cs = cs([j(end);j(1:end-1)],:);
if size(cs,1) == 1,
a(fr) = cs(1,1);
lsr = numPegs;
end;
end
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
function [ind,numCallsMade] = ffclp(gs,index,n,cl,b0,guessLimit,puzzleID)
persistent guessesCache
numCallsMade = 0;
l = length(index);
oneToL=1:l;
if isempty(guessesCache) | length(guessesCache) < l | isempty(guessesCache{l})
twoexp = 1;
guesses = zeros(1, 0);
for i = oneToL
guesses = [guesses zeros(twoexp, 1);guesses ones(twoexp, 1)];
twoexp = twoexp * 2;
end;
guessesCache{l} = guesses;
else
guesses = guessesCache{l};
end
answers = guesses(sum(guesses,2) == n,:)';
count = 0;
while (size(answers,2)~= 1) & (numCallsMade<guessLimit)
count = count+1;
if count == 1
bestguess = (oneToL)>l/2;
elseif count == 2
bestguess = (oneToL <= l/4)+(oneToL > l*0.75);
else
[m,bestguessn] = min(sum(histc(guesses*answers,0:n,2).^2,2));
bestguess = guesses(bestguessn,:);
end
g = gs; g(index(find(bestguess))) = cl;
[black,white,numCallsMade] = scoreme(g,puzzleID);
answers = answers(:,find(bestguess*answers == black-b0));
end
ind = find(answers(:,1+floor(rand(1)*size(answers,2))))';
function boards = make(np, nc)
if (np <= 1), boards = 1:nc;
else boards = [repmat(make(np-1, nc), 1, nc); reshape(repmat(1:nc, nc^(np-1),1), 1, nc^np)];
end
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63.15, 
36.85 (79.93 taken)