local Board = {} function Board.new() local debug = false local width = 10 local t = [[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 1, 0, 2, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2, 0, 0 ]] a = {foo = 3} local tiles = split(t) return { reset = function(self) local t = [[ 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0, 0,0,0,0,0,0,0,0,0,0 ]] tiles = split(t) end, getTile = function(self, idx) return tiles[idx] end, -- returns a COPY of the tiles array getTilesCopy = function(self) return copy(tiles) end, -- overwrites the whole tiles array setTiles = function(self, newtiles) assert(#newtiles == #tiles, "New tiles array must have a length of " .. #tiles) tiles = copy(newtiles) end, idx_xy = function(self, idx) return idx_xy(idx, width) end, xy_idx = function(self, x, y) return xy_idx(x, y, width) end, fill = function(self, idx, color, invert) if invert then color = color == YELLOW and BLUE or YELLOW end tiles[idx] = color end, getRows = function(self) local ret = {} for i = 1, width do add(ret, slice(tiles, ((i - 1) * width) + 1, i * width)) end return ret end, getCols = function(self) local ret = {} local rows = self.getRows(self) for i = 1, width do add(ret, map(rows, function(v) return v[i] end)) end return ret end, isComplete = function(self) return count(tiles, 0) == 0 end, isValid = function(self) local rows = self:getRows() for y,row in ipairs(rows) do -- check count if count(row, BLUE) ~= count(row, YELLOW) then if (debug) printh("uneven count on row "..y) return false end -- check identical lines for k,other in ipairs(rows) do if equal(other, row) and other ~= row then if (debug) printh("equal rows "..k) return false end end -- check triples if self:countConsecutives(row) > 2 then if (debug) printh("triples") return false end end local cols = self:getCols() for col in all(cols) do -- check count if count(col, BLUE) ~= count(col, YELLOW) then if (debug) printh("uneven count") return false end -- check identical lines for other in all(cols) do if equal(other, col) and other ~= col then if (debug) printh("equal cols") return false end end -- check triples if self:countConsecutives(col) > 2 then if (debug) printh("triples") return false end end return true end, countConsecutives = function(self, line) local count = 0 local last = 0 for v in all(line) do if v ~= last then last = 0 else last = v count += 1 end end return count end, -- -- Returns the index of a random zero tile -- getRandomZero = function(self) assert(count(tiles, 0) > 0, "No zero left") local zeroes = filter(tiles, function(v) return v == 0 end, true) local z = {} for k,v in pairs(zeroes) do add(z, k) end return rnd(z) end, -- -- Returns the index of a random non-zero tile -- getRandomNonZero = function(self) assert(count(tiles, 0) < #tiles, "All zeroes") local numbers = filter(tiles, function(v) return v ~= 0 end, true) local z = {} for k,v in pairs(numbers) do add(z, k) end return rnd(z) end, tostring = function(self) local str = '' for v in all(tiles) do str ..= ", " .. v end return str end, -- Solves 1 step of the board -- Returns "valid" if it solved it without guessing -- Returns "invalid" if the board cannot be solved solveStep = function(self, random) local zeroes = count(tiles, 0) self:surroundDoubles() self:splitTriples() self:fillLines() self:noIdenticalLines() local changed = zeroes ~= count(tiles, 0) if not changed and random and not self:isComplete() then -- Set a random color local z = self:getRandomZero() self:fill(z, rnd({BLUE, YELLOW})) if (debug) printh("!!!!!!!!!!!!!!!!! RANDOM FILL AT " .. z) return "invalid" end return (changed or self:isComplete()) and "valid" or "invalid" end, surroundDoubles = function(self) for idx,v in ipairs(tiles) do local x,y = self:idx_xy(idx) if v == 0 then local neighbors = {} -- 2 tiles on the left if x >= 3 then add(neighbors, {idx, idx-1, idx-2}) end -- 2 tiles on the right if x <= width-2 then add(neighbors, {idx, idx+1, idx+2}) end -- 2 tiles on top if y >= 3 then add(neighbors, {idx, idx-width, idx - width*2}) end -- 2 tiles under if y <= width-2 then add(neighbors, {idx, idx+width, idx + width*2}) end -- only keep pairs that are identical (and not 0) neighbors = filter(neighbors, function (o) return tiles[o[2]] == tiles[o[3]] and tiles[o[2]] ~= 0 end) -- do the surrounding for item in all(neighbors) do if item[1] then if (debug) printh("Surrounding at " .. item[1]) self:fill(item[1], tiles[item[2]], true) end end end end end, splitTriples = function(self) for idx, col in ipairs(tiles) do local x,y = self:idx_xy(idx) if col == 0 then if x > 1 and x < width then -- check horizontal local prev = tiles[idx-1] local next = tiles[idx+1] if prev ~= 0 and prev == next then if (debug) printh("Splitting at " .. idx) self:fill(idx, prev, true) end end if y>1 and y < width then -- check vertical local prev = tiles[idx-width] local next = tiles[idx+width] if prev ~= 0 and prev == next then if (debug) printh("Splitting at " .. idx) self:fill(idx, prev, true) end end end end end, fillLines = function(self) local rows = self:getRows() local cols = self:getCols() -- rows for y,row in ipairs(rows) do local a = count(row, BLUE) local b = count(row, YELLOW) if a ~= b then if a == width/2 then self:fillRow(y, YELLOW) end if b == width/2 then self:fillRow(y, BLUE) end end end -- columns for x,col in ipairs(cols) do local a = count(col, BLUE) local b = count(col, YELLOW) if a ~= b then if a == width/2 then self:fillCol(x, YELLOW) end if b == width/2 then self:fillCol(x, BLUE) end end end end, fillRow = function(self, y, color) if (debug) printh("Filling line " .. y .. " in " .. (color == BLUE and "blue" or "yellow")) local idx = self:xy_idx(1, y) for i = idx, (idx+width-1) do if self:getTile(i) == 0 then self:fill(i, color) end end end, fillCol = function(self, x, color) if (debug) printh("Filling column " .. x .. " in " .. (color == BLUE and "blue" or "yellow")) local idx = self:xy_idx(x, 1) for i = idx, #tiles, width do if self:getTile(i) == 0 then self:fill(i, color) end end end, noIdenticalLines = function(self) -- columns local cols = self:getCols() for x,col in ipairs(cols) do if count(col, 0) == 2 and count(col, BLUE) == count(col, YELLOW) then local y1, y2 = unpack(find(col, 0)) local ab = copy(col) ab[y1] = BLUE ab[y2] = YELLOW local ba = copy(col) ba[y1] = YELLOW ba[y2] = BLUE -- Check if a dupe exists for x2,col in ipairs(cols) do if equal(col, ab) then if debug then printh("No-dupe at col " .. x .. " from col " .. x2) printh(" " .. self:xy_idx(x,y1) .. " in yellow") printh(" " .. self:xy_idx(x,y2) .. " in blue") end self:fill(self:xy_idx(x,y1), YELLOW) self:fill(self:xy_idx(x,y2), BLUE) goto continue elseif equal(col, ba) then if debug then printh("No-dupe at col " .. x .. " from col " .. x2) printh(" " .. self:xy_idx(x,y1) .. " in blue") printh(" " .. self:xy_idx(x,y2) .. " in yellow") end self:fill(self:xy_idx(x,y1), BLUE) self:fill(self:xy_idx(x,y2), YELLOW) goto continue end end end ::continue:: end -- rows local rows = self:getRows() for y,row in ipairs(rows) do if count(row, 0) == 2 and count(row, BLUE) == count(row, YELLOW) then local x1, x2 = unpack(find(row, 0)) local ab = copy(row) ab[x1] = BLUE ab[x2] = YELLOW local ba = copy(row) ba[x1] = YELLOW ba[x2] = BLUE -- Check if a dupe exists for y2,row in ipairs(rows) do if equal(row, ab) then if debug then printh("No-dupe at row " .. y .. " from row " .. y2) printh(" " .. self:xy_idx(x1,y) .. " in yellow") printh(" " .. self:xy_idx(x2,y) .. " in blue") end self:fill(self:xy_idx(x1,y), YELLOW) self:fill(self:xy_idx(x2,y), BLUE) goto continue elseif equal(row, ba) then if debug then printh("No-dupe at row " .. y .. " from row " .. y2) printh(" " .. self:xy_idx(x1,y) .. " in blue") printh(" " .. self:xy_idx(x2,y) .. " in yellow") end self:fill(self:xy_idx(x1,y), BLUE) self:fill(self:xy_idx(x2,y), YELLOW) goto continue end end end ::continue:: end end, draw = function(self) local w = 10 local padding = 1 local margin = 4 for k,v in ipairs(tiles) do local x,y = self:idx_xy(k) local color = v == BLUE and 12 or v == YELLOW and 8 or 1 if color == 1 then fillp(▒) else fillp(█) end rectfill( margin + (x-1)*w + (x-1)*(padding+1), margin + (y-1)*w + (y-1)*(padding+1), w, w, color) if debug then print(k, margin + (x-1)*w + (x-1)*(padding+1), margin + (y-1)*w + (y-1)*(padding+1), 8) end end end } end