ID: 
Title:Buy a ticketNewCat27
Author:Yi CaoSY
Date:2007-05-16 11:56:202007-05-16 11:55:04
Score:3926.70343943.0288
Result:39072.48 (cyc: 10)39233.62 (cyc: 10)
CPU Time:45.499745.7161
Status:PassedPassed
Code:
- function [moves,score] = submit1(board) + function [moves,score] = collaborationSover(board) % % Note in the interest of collaboration I'm documenting % the leading code as much as possible. Instead of going the % obscufation route with this, I invite everyone to % document / take credit for their particular changes % as the codes get modified. % % At a minimum, please don't remove the existing comments % so someones doesn't have to start from scratch on commenting % updated code again % % Alan Chalker % % Set up the random number generator so it produces a favorable sequence. rand('state',0); rand(57,1); [m,n] = size(board); % find the dims of the board pegCount = sum(board(:)>0); % check the number of pegs on the board rows = m+4; % expand the height by 4 rows rv = 5:rows; % create a new row index starting at 5th row cols = n+4; % expand the width by 4 cols cv = 5:cols; % create a new col index starting at 5th col + % calculate the peg to off limit areas ratio of board + fill = (pegCount-nnz(board<0)) / (m*n); i = repmat(rv',[n 1]); % create an index of all the new board row coordinates except for the 1st 4 rows j = reshape(repmat(cv,[m 1]),[m*n 1]); % create an index of all the new board col coordinates except for the 1st 4 cols % note [i j] would be a list of all original board coordinates in the % new board created below mm = m+8; % expand the original height by 8 rows nn = n+8; % expand the original width by 8 cols ppBoard = -ones(mm, nn); % create a new board with 4 extra rows / cols of offlimits all the way around the board ppBoard(rv,cv) = board; % populate the new board with the original board values I = [i;i;i;i]; % vector of 4 repeats of row coords J = [j;j;j;j]; % vector of 4 repeats of col coords K = [i;i;i-2;i+2]; % vector of row cords, row cords, 2 rows above, 2 rows below L = [j-2;j+2;j;j]; % vector of 2 cols before, 2 cols past, col cords, col cords % [I J K L] would be a matrix of ALL potential moves for this board K1 = [i;i;i-4;i+4]; % vector of row cords, row cords, 4 rows above, 4 rows below L1 = [j-4;j+4;j;j]; % vector of 4 cols before, 4 cols past, col cords, col cords % if a move from [I J] to [K L] were done, [K L K1 L1] is the potential next colinear moves K2 = [i-2;i+2;i-2;i+2]; % vector of 2 rows above, 2 rows below repeated twice L2 = [j-2;j+2;j+2;j-2]; % vector of 2 cols before, 2 cols past, 2 cols past, 2 cols before % if a move from [I J] to [K L] were done, [K L K2 L2] is the half of the potential next orthogonal moves K3 = [i+2;i-2;i-2;i+2]; % vector of 2 rows below, 2 rows above, 2 rows above, 2 rows below L3 = [j-2;j+2;j-2;j+2]; % vector of 2 cols before, 2 cols past repeated twice % if a move from [I J] to [K L] were done, [K L K3 L3] is the other half of the potential next orthogonal moves F = I+(J-1)*mm; % convert source spot coordinates [I J] into single index value T = K+(L-1)*mm; % convert destination spot coordinates [K L] into single index value M = (F+T)*0.5; % calculate the index value of the spot that would be jumped if did move [I J K L] % find indexes of moves that don't involve off limits (-1) areas bogusMoves = (ppBoard(F) < 0) | (ppBoard(M) < 0) | (ppBoard(T) < 0); % remove moves that involve off limits areas I(bogusMoves) = []; J(bogusMoves) = []; K(bogusMoves) = []; L(bogusMoves) = []; F(bogusMoves) = []; T(bogusMoves) = []; M(bogusMoves) = []; K1(bogusMoves) = []; K2(bogusMoves) = []; K3(bogusMoves) = []; L1(bogusMoves) = []; L2(bogusMoves) = []; L3(bogusMoves) = []; + [moveid1,moveid2,moveid3] = createMoves(M,F,T); % convert 2nd jump destination spot coordinates into single index value % note invalid jumps are kept in index but not converted T1 = K1+(L1-1)*mm; % colinear T2 = K2+(L2-1)*mm; % ortho T3 = K3+(L3-1)*mm; % ortho TT = [T1 T2 T3]; % calculate the index value of the spot that would be jumped if did move M1 = (T+T1)*0.5; % [K L K1 L1] M2 = (T+T2)*0.5; % [K L K2 L2] M3 = (T+T3)*0.5; % [K L K3 L3] MM = [M1 M2 M3]; % create first possible move list MV = [I J K L]; MV1 = [K L K1 L1]; MV2 = [K L K2 L2]; MV3 = [K L K3 L3]; MVV = {MV1, MV2, MV3}; - [moveid1,moveid2,moveid3,rMap] = createMoves(M,F,T); % run the subsolver function [moves,score] = subsoltweak( ... ppBoard, ... F,T,M, ... pegCount, ... TT,MM,MV,MVV, ... moveid1,moveid2,moveid3); % calculate the max possible score as 81% of the sum of the pegs - maxsum = sum(board(board>0)); + bbbb=board(board>0); + maxsum = sum(bbbb(:)); maxscore = 0.81*maxsum; + meanW=min(mean(bbbb(:)),max(pegCount-500,0)); % repeat over the iteration weightings for dd = getDdlist(pegCount) % if the solver results is more than the maxscore or less than 3 moves long then stop if (size(moves,1) <= 3) || (score > maxscore) % correct moves due to board padding moves = moves - 4; return end % calculate moves and scores of moves with subfunction [newMoves,newScore] = subsol( ... ppBoard, ... dd,0, ... F,T,M, ... pegCount, ... - TT,MM,MV,rMap); %, ... - % moveid1,moveid2,moveid3); + TT,MM,MV, ... + moveid1,moveid2,moveid3); % if it is better, update the move list. if (newScore > score) score = newScore; moves = newMoves; end end % repeat with randomisation k = 1; - while k <=(min((pegCount/128)+1,3)*(score < maxsum*0.79)) + while k <=(min((pegCount*0.0078125)+1,3+meanW*0.2)*(score < maxsum*0.79)) % calculate moves and scores of moves with nested function [newMoves,newScore] = subsol( ... ppBoard, ... 1.0,1.16, ... F,T,M, ... pegCount, ... - TT,MM,MV,rMap); %, ... - % moveid1,moveid2,moveid3); + TT,MM,MV, ... + moveid1,moveid2,moveid3); % If it is better, update the move list. if (newScore > score) score = newScore; moves = newMoves; end k = k+1; end % correct moves due to board padding moves = moves - 4; % end % check if the # pegs or fill ratio is less than set values - % calculate the peg to off limit areas ratio of board - fill = (pegCount-nnz(board<0)) / (m*n); if (pegCount < 272) && (fill < .96)*(score < maxsum*0.775) % run the initial solver routine [newMoves,newScore] = solveri(board,rows,cols); if (newScore > score) score = newScore; moves = newMoves; end end end % close function solver %====================================================================== function ddlist = getDdlist(pegCount) % create a vector of 4 random values between -1 and 1 RX = 2*(rand(4,1)-0.5); switch ceil(pegCount/102.5) case 1 ddlist = [1+0.1*RX(1) 0.05]; case 2 ddlist = [6.8 5 2.1 1+0.1*RX(2) 0.6+0.1*RX(2) 0.45]; % burn 750 random numbers from the sequence %rand(750,1); case 3 - ddlist = [0.05 2.1 1+0.1*RX(3) 0.6+0.1*RX(3) 0.5+0.1*RX(3) 0.254]; + ddlist = [0.05 2.1 1+0.1*RX(3) 0.6+0.1*RX(3) 0.4+0.1*RX(3) 0.254]; case 5 ddlist = [0.05 2.1 0.6+0.1*RX(4) 0.18]; otherwise - ddlist = [0.05 2.1 1+0.1*RX(4) 0.6]; + ddlist = [0.05 2.1 1+0.1*RX(4) 0.592]; end % if (pegCount > 400 && pegCount < 560) % % add an element to the iteration weights list % ddlist(end+1) = 0.18; % end end + %====================================================================== - function [moveid1,moveid2,moveid3,rMap] = createMoves(M,F,T) + function [moveid1,moveid2,moveid3] = createMoves(M,F,T) ni = max([max(M) max(F) max(T)]); % find the index of the lower right most possible move spots % create three copies of a vector long enough to contain all possible move % position indexes nmove1 = zeros(ni,1); nmove2 = nmove1; nmove3 = nmove1; % create three copies of a matrix long enough to contain all possible moves moveid1 = zeros(ni,4); moveid2 = moveid1; moveid3 = moveid1; - N=numel(F); - for k = 1:N % repeat for the number of starting positions + for k = 1:numel(F) % repeat for the number of starting positions nmove1(F(k)) = nmove1(F(k))+1; %populate the 1st move position vector with the # of times that source spot is in the possible moves moveid1(F(k),nmove1(F(k))) = k; % populate the 1st move list vector with the index value of the corresponding source spots in each col % Note: if the 10th position on the board is a peg that could make 3 % possible moves (i.e. up, down, right), that nmove1(10)=3 and % nmoveid1(10,:) = [x y z 0] where x,y,x are the index values in % vector F where 10 appears % Repeat the above for the spots that could be jumped nmove2(M(k)) = nmove2(M(k))+1; moveid2(M(k),nmove2(M(k))) = k; % Repeat the above for the destination spots nmove3(T(k)) = nmove3(T(k))+1; moveid3(T(k),nmove3(T(k))) = k; end - rMap=[moveid1(F,:) moveid2(F,:) moveid3(F,:) moveid1(M,:) moveid2(M,:) moveid3(M,:) moveid1(T,:) moveid2(T,:) moveid3(T,:)]; end %====================================================================== function [moves,last_score] = solveri(board,rows,cols) % create a new board with 2 extra rows / cols of offlimits all the way % around the board pBoard = -ones(rows,cols); pBoard(3:end-2,3:end-2) = board; % allocate buffers nNonHoles = nnz(pBoard); moves = zeros(nNonHoles,4); cellbuf = zeros(nNonHoles*4,1); valbuf = cellbuf; movebuf = cellbuf; hopbuf = cellbuf; hop_list = cellbuf; % initialize various variables dead_weight = 0.1 * mean(board(board>0)); count = 0; last_move = 0; score = 0; last_pos = 0; last_score = 0; depth = 10; hop_max = 0; hop_cnt = 0; - liftPenalty=0; + % calculate all possible moves [lJumpers,lValues,lLandings] = CalculateMoves(pBoard); while true % find highest value moves % if no moves returned, stop if isempty(lJumpers) break end - preLift=0; - preRemove=0; + % calculate the max consecutive hops FindHops(pBoard,lJumpers,lLandings,lValues); % check if any moves have multiple hops if (hop_max ~= 0) && (hop_cnt > 2) for zh = 1:hop_cnt-1 lJumpers = [lJumpers;hop_list(zh)]; % update move list with number of hops lLandings = [lLandings;hop_list(zh+1)]; % update move list with number of hops lValues = [lValues;hop_max]; % update value list with value of hops DoMove(numel(lJumpers)); % do the actual hop moves end else % find moves that create hops [hop_values,pos] = sort(lValues,'descend'); % find best scoring hops lValues = hop_values; % update value list lJumpers = lJumpers(pos); % eliminate all nonhop moves from list lLandings = lLandings(pos); % eliminate all nonhop moves from list - ratio_values=[]; for zh = 1:min(depth,numel(lJumpers)) [newB,newC,newM,newV] = ... ProcessMove(pBoard,zh,lJumpers,lLandings,lValues); - preRemove=lValues(zh); - preLift=pBoard(lJumpers(zh)); FindHops(newB,newC,newM,newV); % find possible hops - ratio_values(zh) = ratio_max; % update value list with best hop + hop_values(zh) = hop_values(zh) + hop_max; % update value list with best hop end - [max_val,pos] = max(ratio_values); % find the best hop move + [max_val,pos] = max(hop_values); % find the best hop move DoMove(pos) % do the best hop move end + end % truncate the move list to the best moves moves(last_pos+1:end,:) = []; % nested functions follow function DoMove(pos) max_cell = lJumpers(pos); %extract the move to do from the move list max_move = lLandings(pos); %extract the move to do from the move list count = count+1; % increment the move count moves(count,:) = [mod(max_cell-2,rows),ceil(max_cell/rows)-2,mod(max_move-2,rows),ceil(max_move/rows)-2]; % update the move list with the move brem = (max_cell+max_move)/2; % calculate the move score score = score + pBoard(brem); % update the score total if (max_cell ~= last_move) % check if it was a hop score = score - pBoard(max_cell); % if it wasn't a hop, subtract the jumping peg end if (score > last_score) % check if the score improves last_pos = count; % update the best move list last_score = score; % update the best score end; [pBoard,lJumpers,lLandings,lValues] = ProcessMove(pBoard,pos,lJumpers,lLandings,lValues); % check the move last_move = max_move; % find the position of the best move end function FindHops(pBoard,lJumpers,lLandings,lValues) hop_max = 0; - ratio_max=0; if ~isempty(lJumpers) dst=lLandings(1:numel(lJumpers)); tmp=(~pBoard(dst+2)&pBoard(dst+1)); tmp=(~pBoard(dst-2)&pBoard(dst-1))|tmp; tmp=(~pBoard(dst-2*rows)&pBoard(dst-rows))|tmp; tmp=(~pBoard(dst+2*rows)&pBoard(dst+rows))|tmp; idx=find(~tmp); if ~isempty(idx) - tmp2=(preRemove+lValues(idx))./(pBoard(lJumpers(idx))+preLift)+1; - [ratio_max,tmp2]=max(tmp2); - tmp2=idx(tmp2); - hop_max=lValues(tmp2); + tmp2=lValues(idx); [hop_max,tmp2]=max(tmp2); tmp2=idx(tmp2); hop_cnt=2; hop_list(1)=lJumpers(tmp2); hop_list(2)=lLandings(tmp2); end; idx=find(tmp)'; for ii=idx hopbuf(1)=lJumpers(ii); - liftPenalty=preLift+pBoard(lJumpers(ii)); - FindHopTree(pBoard,lJumpers(ii),lLandings(ii),lValues(ii)+preRemove,2); + FindHopTree(pBoard,lJumpers(ii),lLandings(ii),lValues(ii),2); end; end; end function FindHopTree(pBoard,src,dst,hop_value,count) % Update the board position pBoard(dst) = pBoard(src); pBoard((src+dst)/2) = 0; pBoard(src) = 0; % save hop hopbuf(count) = dst; % jump down if ~pBoard(dst+2) && pBoard(dst+1)>0 FindHopTree(pBoard,dst,dst+2,hop_value+pBoard(dst+1),count+1); end % jump up if ~pBoard(dst-2) && pBoard(dst-1)>0 FindHopTree(pBoard,dst,dst-2,hop_value+pBoard(dst-1),count+1); end % jump right if ~pBoard(dst+2*rows) && pBoard(dst+rows)>0 FindHopTree(pBoard,dst,dst+2*rows,hop_value+pBoard(dst+rows),count+1); end % jump left if ~pBoard(dst-2*rows) && pBoard(dst-rows)>0 FindHopTree(pBoard,dst,dst-2*rows,hop_value+pBoard(dst-rows),count+1); end % end of hop chain -- check for max and save route - ratio=hop_value/liftPenalty+1; - if ratio > ratio_max - ratio_max=ratio; + if hop_value > hop_max hop_max = hop_value; hop_cnt = count; hop_list(1:count) = hopbuf(1:count); end end function n = CalculateBall(pBoard,src,dst,n) POP = pBoard((src+dst)*0.5); % extract the jumped position peg if POP>0 && ~pBoard(dst) && pBoard(src)>0 % check if source is peg, dest is hole, and jumped is peg n = n+1; % update index if sum(pBoard([dst+1 dst-1 dst+rows dst-rows])>0) == 1 % check to see if there is only 1 more peg to jump next valbuf(n) = POP-pBoard(src)-dead_weight; % if so, add weighted score to buffer else valbuf(n) = POP-pBoard(src); % if not, add full score end cellbuf(n) = src; % update move buffers movebuf(n) = dst; end end function n = CalculateHole(pBoard,dst,src,n) pop = (src+dst)/2; % extract the jumped position index if pBoard(pop)>0 && pBoard(src)>0 %check to make sure source and jumped position are pegs n = n+1; % update index if sum(pBoard([dst+1 dst-1 dst+rows dst-rows])>0) == 1 % check to see if there is only 1 more peg to jump next valbuf(n) = pBoard(pop)-pBoard(src)-dead_weight; % if so, add weighted score to buffer else valbuf(n) = pBoard(pop)-pBoard(src); % if not, add full score end cellbuf(n) = src; % update move buffers movebuf(n) = dst; end end function [new_cell_list,new_value_list,new_move_list] = CalculateMoves(pBoard) zb = find(pBoard>0); %find indexes of all pegs on pBoard zz = find(~pBoard); % find indexes of all holes on pBoard n = 0; if numel(zz)<numel(zb) % if more holes than pegs for zi = 1:numel(zz) % repeat for each hole position i = zz(zi); %check for holes in all 4 possible destination spots %away from current hole n = CalculateHole(pBoard,i,i-2,n); n = CalculateHole(pBoard,i,i+2,n); n = CalculateHole(pBoard,i,i-rows*2,n); n = CalculateHole(pBoard,i,i+rows*2,n); end else for zi = 1:numel(zb) % repeat for each peg position i = zb(zi); %check for pegs in all 4 possible destination spots %away from current peg n = CalculateBall(pBoard,i,i-2,n); n = CalculateBall(pBoard,i,i+2,n); n = CalculateBall(pBoard,i,i-rows*2,n); n = CalculateBall(pBoard,i,i+rows*2,n); end end %update buffers new_cell_list = cellbuf(1:n); new_value_list = valbuf(1:n); new_move_list = movebuf(1:n); end function [pBoard,lJumpers,lLandings,lValues] = ProcessMove(pBoard,pos,lJumpers,lLandings,lValues) src = lJumpers(pos); %extract the source position dst = lLandings(pos); % extract the destination position pop = (src+dst)/2; % calculate the jumped position % update the pBoard pBoard(dst) = pBoard(src); % copy the source peg to destination spot pBoard(pop) = 0; % zero out the jumped spot pBoard(src) = 0; % zero out the source spot % check if a horizontal or vertical jump u = src-pop; if (abs(u) == 1) v = rows; else v = 1; end % eliminate the moves from move list that involve these % coordinates lLandings(logical(lLandings == dst)) = 0; lLandings(logical(lJumpers == src)) = 0; lLandings(logical(lJumpers == pop)) = 0; % eliminate moves that are 1 peg away from source rem_src = find(lJumpers == src-v); lLandings(rem_src(lLandings(rem_src) == src+v)) = 0; rem_src = find(lJumpers == src+v); lLandings(rem_src(lLandings(rem_src) == src-v)) = 0; rem_src = find(lJumpers == src-v-u); lLandings(rem_src(lLandings(rem_src) == src+v-u)) = 0; rem_src = find(lJumpers == src+v-u); lLandings(rem_src(lLandings(rem_src) == src-v-u)) = 0; % sort remaining moves and update other lists with the indexes [lLandings,rem_dst] = sort(lLandings,'descend'); lJumpers = lJumpers(rem_dst); lValues = lValues(rem_dst); ncnt = find(~lLandings,1,'first'); % truncate lists at point where moves involve off limits areas lJumpers = lJumpers(1:ncnt-1); lValues = lValues(1:ncnt-1); lLandings = lLandings(1:ncnt-1); % check all the new possible moves based upon updated pBoard n = 0; - twou=2*u;twov=2*v; n = CalculateBall(pBoard,src-3*u,src-u,n); - n = CalculateBall(pBoard,src+twov-u,src-u,n); - n = CalculateBall(pBoard,src+twov,src,n); - n = CalculateBall(pBoard,src+twou,src,n); - n = CalculateBall(pBoard,src-twov,src,n); - n = CalculateBall(pBoard,src-twov-u,src-u,n); - n = CalculateBall(pBoard,dst,dst-twou,n); - n = CalculateBall(pBoard,dst,dst-twov,n); - n = CalculateBall(pBoard,dst,dst+twov,n); - clf = src-v-twou; - crt = src+v-twou; + n = CalculateBall(pBoard,src+2*v-u,src-u,n); + n = CalculateBall(pBoard,src+2*v,src,n); + n = CalculateBall(pBoard,src+2*u,src,n); + n = CalculateBall(pBoard,src-2*v,src,n); + n = CalculateBall(pBoard,src-2*v-u,src-u,n); + n = CalculateBall(pBoard,dst,dst-2*u,n); + n = CalculateBall(pBoard,dst,dst-2*v,n); + n = CalculateBall(pBoard,dst,dst+2*v,n); + clf = src-v-2*u; + crt = src+v-2*u; if ~pBoard(clf) n = CalculateBall(pBoard,crt,clf,n); end if ~pBoard(crt) n = CalculateBall(pBoard,clf,crt,n); end % if updated moves exist than update moves list if (n > 0) if (ncnt > 1) lJumpers = [lJumpers; cellbuf(1:n)]; lLandings = [lLandings; movebuf(1:n)]; lValues = [lValues; valbuf(1:n)]; else lJumpers = cellbuf(1:n); lValues = valbuf(1:n); lLandings = movebuf(1:n); end end end end %====================================================================== function [moves,v] = subsol( ... board, ... d, ... rfac, ... F,T,M, ... pegCount, ... - TT,MM,MV,rMap) %, ... - % moveid1,moveid2,moveid3) + TT,MM,MV, ... + moveid1,moveid2,moveid3) rrr = rfac*rand(5000,1); % create a vector of 5000 random values moves = zeros(pegCount-1,4); % preallocate maximum possible move list based on number of pegs v0 = zeros(pegCount-1,1); % preallocate maximum size of score list Bzero = ~board; % create inverse board where 1 is a hole and every else is a zero, including offlimits Bpos = board>0; % create board with pegs all as 1 and everything else 0 Bmax = max(board, 0); % create board with offlimits as holes % search for moves where source is peg, destination is hole and jumped spot is peg validMoves = (Bpos(F) & Bzero(T) & Bpos(M)); % extract indexes of valid moves h = find(validMoves); C0 = board(M(h))-board(F(h)); % calculate score for all valid 1st moves if d CV = max(Bmax(MM(h,:)).*Bzero(TT(h,:)),[],2); % check to see if next colinear move is best else CV = 0; end % add jumped peg to 2nd jump and find best 2 move jump [v,k] = max( (1+rrr(1:length(C0))).*(C0+CV*d) ); v0(1) = C0(k); % extract score of best 1st jump score k = h(k); % extract index of best 2 move jump moves(1,:) = MV(k,:); % add best move (1st jump) to movelist T0 = T(k); % extract 1st jump destination spot F0 = F(k); % extract source spot M0 = M(k); % calculate jumped spot t = 2; % increment move count % Update board. Bmax(T0) = board(F0); % copy the jumping peg value Bmax(F0) = 0; % zero out the jumping spot peg Bmax(M0) = 0; % zero out the jumped spot peg board(T0) = board(F0); % update destination spot with source spot peg Bzero(T0) = false; % set the destination spot peg Bpos(T0) = true; % set the destination spot peg board(F0) = 0; % zero out source spot peg Bzero(F0) = true; % create updated inverse board Bpos(F0) = false; % zero out the source spot peg board(M0)=0; % zero out jumped spot peg Bpos(M0) = false; % zero out the jumped spot peg Bzero(M0) = true; % create updated inverse board % assemble list of moves affected by the current move - allMoves = rMap(k,:); - allMoves = allMoves(allMoves>0); - % FF=[F0 M0 T0]; - % originatingMoves = moveid1(FF,:); - % originatingMoves = originatingMoves(originatingMoves > 0); - % jumpedMoves = moveid2(FF,:); - % jumpedMoves = jumpedMoves(jumpedMoves > 0); - % terminatingMoves = moveid3(FF,:); - % terminatingMoves = terminatingMoves(terminatingMoves > 0); - % allMoves = [originatingMoves; jumpedMoves; terminatingMoves]; - % % search for valid moves in new board (original method) + FF=[F0 M0 T0]; + originatingMoves = moveid1(FF,:); + originatingMoves = originatingMoves(originatingMoves > 0); + jumpedMoves = moveid2(FF,:); + jumpedMoves = jumpedMoves(jumpedMoves > 0); + terminatingMoves = moveid3(FF,:); + terminatingMoves = terminatingMoves(terminatingMoves > 0); + allMoves = [originatingMoves; jumpedMoves; terminatingMoves]; + % search for valid moves in new board (original method) validMoves(allMoves) = Bpos(F(allMoves)) & Bzero(T(allMoves)) & Bpos(M(allMoves)); + % extract indexes of valid moves h = find(validMoves); while ~isempty(h) if (numel(h) > 1) c = find(F(h) == T0); % find indexes of jumps with source peg that is same as last one moved if ~isempty(c) % if any current 2 jump moves contain the last peg h = h(c); % extract the jump index C0 = board(M(h)); % seed possible 2nd jumps board with jumped peg value for all jumps the match last jump end else C0 = board(M(h))-board(F(h)); % calculate score for all valid 1st moves end if d CV = max(Bmax(MM(h,:)).*Bzero(TT(h,:)),[],2); % check to see if next colinear move is best else CV = 0; end % add jumped peg to 2nd jump and find best 2 move jump [v,k] = max( (1+rrr(1:length(C0))).*(C0+CV*d) ); v0(t) = C0(k); % extract score of best 1st jump score k = h(k); % extract index of best 2 move jump else k = h(1); % extract the move position - v0(t) = board(M(k))-board(F(k))*(F(k)~=T0); % calculate the jump score + v0(t) = board(M(k))-board(F(k)); % calculate the jump score end moves(t,:) = MV(k,:); % add best move (1st jump) to movelist T0 = T(k); % extract 1st jump destination spot F0 = F(k); % extract source spot M0 = M(k); % calculate jumped spot t = t+1; % increment move count % Update board. Bmax(T0) = board(F0); % copy the jumping peg value Bmax(F0) = 0; % zero out the jumping spot peg Bmax(M0) = 0; % zero out the jumped spot peg board(T0) = board(F0); % update destination spot with source spot peg Bzero(T0) = false; % set the destination spot peg Bpos(T0) = true; % set the destination spot peg board(F0) = 0; % zero out source spot peg Bzero(F0) = true; % create updated inverse board Bpos(F0) = false; % zero out the source spot peg board(M0)=0; % zero out jumped spot peg Bpos(M0) = false; % zero out the jumped spot peg Bzero(M0) = true; % create updated inverse board % assemble list of moves affected by the current move - allMoves = rMap(k,:); - allMoves = allMoves(allMoves>0); - % FF=[F0 M0 T0]; - % originatingMoves = moveid1(FF,:); - % originatingMoves = originatingMoves(originatingMoves > 0); - % jumpedMoves = moveid2(FF,:); - % jumpedMoves = jumpedMoves(jumpedMoves > 0); - % terminatingMoves = moveid3(FF,:); - % terminatingMoves = terminatingMoves(terminatingMoves > 0); - % allMoves = [originatingMoves; jumpedMoves; terminatingMoves]; + FF=[F0 M0 T0]; + originatingMoves = moveid1(FF,:); + originatingMoves = originatingMoves(originatingMoves > 0); + jumpedMoves = moveid2(FF,:); + jumpedMoves = jumpedMoves(jumpedMoves > 0); + terminatingMoves = moveid3(FF,:); + terminatingMoves = terminatingMoves(terminatingMoves > 0); + allMoves = [originatingMoves; jumpedMoves; terminatingMoves]; % search for valid moves in new board (original method) validMoves(allMoves) = Bpos(F(allMoves)) & Bzero(T(allMoves)) & Bpos(M(allMoves)); % extract indexes of valid moves h = find(validMoves); end v0 = cumsum(v0); % create cumulative sum of scores in movelist [v,t] = max(v0); % extract location of best cumulative score moves = moves(1:t,:); % output moves up to best location end %====================================================================== function [moves,v] = subsoltweak( ... board, ... F,T,M, ... pegCount, ... TT,MM,MV,MVV, ... moveid1,moveid2,moveid3) moves = zeros(pegCount-1,4); % preallocate maximum possible move list based on number of pegs v0 = zeros(pegCount-1,1); % preallocate maximum size of score list Bzero = ~board; % create inverse board where 1 is a hole and every else is a zero, including offlimits Bpos = board>0; % create board with pegs all as 1 and everything else 0 Bmax = max(board, 0); % create board with offlimits as holes hs = (Bpos(F) & Bzero(T) & Bpos(M)); % search for moves where source is peg, destination is hole and jumped spot is peg h = find(hs); % extract indexes of valid moves C0 = board(M(h))-board(F(h)); % calculate score for all valid 1st moves [CV,kc] = max(Bmax(MM(h,:)).*Bzero(TT(h,:)),[],2); % check to see if next colinear move is best [v,k] = max(C0+CV); % add jumped peg to 2nd jump and find best 2 move jump v0(1) = C0(k); % extract score of best 1st jump score k = h(k); % extract index of best 2 move jump moves(1,:) = MV(k,:); % add best move (1st jump) to movelist F0 = F(k); % extract source spot t = 2; % increment move count T0=T(k); % extract 1st jump destination spot + FF=[F0 M(k) T0]; M0=M(k); Bmax(T0)=board(F0);Bmax(F0)=0;Bmax(M0)=0; board(T0) = board(F0); % update destination spot with source spot peg Bzero(T0) = false; % set the destination spot peg Bpos(T0) = true; % set the destination spot peg board(F0) = 0; % zero out source spot peg Bzero(F0) = true; % create updated inverse board Bpos(F0) = false; % zero out the source spot peg board(M0) = 0; % zero out jumped spot peg Bpos(M0) = false; % zero out the jumped spot peg Bzero(M0) = true; % create updated inverse board - % allMoves1 = rMap{k}; - % allMoves1 = allMoves1(allMoves1>0); - FF=[F0 M(k) T0]; % assemble list of moves affected by the current move originatingMoves = moveid1(FF,:); originatingMoves = originatingMoves(originatingMoves>0); % moves originating at spots involved in last move jumpedMoves = moveid2(FF,:); jumpedMoves = jumpedMoves(jumpedMoves>0); % moves jumping over spots involved in last move terminatingMoves = moveid3(FF,:); terminatingMoves = terminatingMoves(terminatingMoves>0); % moves terminating at spots involved in last move allMoves = [originatingMoves; jumpedMoves; terminatingMoves]; % combine the moves into 1 list hs(allMoves) = Bpos(F(allMoves)) & Bzero(T(allMoves)) & Bpos(M(allMoves)); % search for valid moves in new board (original method) % extract indexes of valid moves h = find(hs); while ~isempty(h) c = find(F(h) == T0); % find indexes of jumps with source peg that is same as last one moved if ~isempty(c) % if any current 2 jump moves contain the last peg h = h(c); % extract the jump index C0 = board(M(h)); % seed possible 2nd jumps board with jumped peg value for all jumps the match last jump end else C0 = board(M(h))-board(F(h)); % calculate score for all valid 1st moves end [CV,kc] = max(Bmax(MM(h,:)).*Bzero(TT(h,:)),[],2); % check to see if next colinear move is best [v,k] = max(C0+CV); % add jumped peg to 2nd jump and find best 2 move jump v0(t) = C0(k); % extract score of best 1st jump score cv=CV(k);kc=kc(k); k = h(k); % extract index of best 2 move jump moves(t,:) = MV(k,:); % add best move (1st jump) to movelist F0 = F(k); % extract source spot t = t+1; % increment move count if ~cv - % allMoves1 = rMap{k}; T0=T(k); % extract 1st jump destination spot FF=[F0 M(k) T0]; else T0=TT(k,kc); - % allMoves1 = rMap2{k,kc}; M0=MM(k,kc); moves(t,:)=MVV{kc}(k,:); FF=[F0 M(k) M0 T0]; v0(t)=cv; board(M0)=0;Bzero(M0)=true;Bpos(M0)=false;Bmax(M0)=0; t=t+1; end M0=M(k); Bmax(T0)=board(F0);Bmax(F0)=0;Bmax(M0)=0; board(T0) = board(F0); % update destination spot with source spot peg Bzero(T0) = false; % set the destination spot peg Bpos(T0) = true; % set the destination spot peg board(F0) = 0; % zero out source spot peg Bzero(F0) = true; % create updated inverse board Bpos(F0) = false; % zero out the source spot peg board(M0) = 0; % zero out jumped spot peg Bpos(M0) = false; % zero out the jumped spot peg Bzero(M0) = true; % create updated inverse board % assemble list of moves affected by the current move - % allMoves1 = allMoves1(allMoves1>0); originatingMoves = moveid1(FF,:); originatingMoves = originatingMoves(originatingMoves>0); % moves originating at spots involved in last move jumpedMoves = moveid2(FF,:); jumpedMoves = jumpedMoves(jumpedMoves>0); % moves jumping over spots involved in last move terminatingMoves = moveid3(FF,:); terminatingMoves = terminatingMoves(terminatingMoves>0); % moves terminating at spots involved in last move allMoves = [originatingMoves; jumpedMoves; terminatingMoves]; % combine the moves into 1 list hs(allMoves) = Bpos(F(allMoves)) & Bzero(T(allMoves)) & Bpos(M(allMoves)); % search for valid moves in new board (original method) % extract indexes of valid moves h = find(hs); end - v0 = cumsum(v0); % create cumulative sum of scores in movelist - [v,t] = max(v0); % extract location of best cumulative score + vv0 = cumsum(v0); % create cumulative sum of scores in movelist + [v,t] = max(vv0); % extract location of best cumulative score moves = moves(1:t,:); % output moves up to best location end