local mfl, mce = math.floor, math.ceil local mmi, mma = math.min, math.max local pow2 = {1} for i = 2, 28 do pow2[i] = pow2[i - 1] * 2 end local SegTree = {} SegTree.updateAll = function(self) for i = self.stagenum - 1, 1, -1 do local cnt = pow2[i] for j = 0, cnt - 1 do self.stage[cnt + j] = self.func(self.stage[(cnt + j) * 2], self.stage[(cnt + j) * 2 + 1]) end end end SegTree.create = function(self, n, func, emptyvalue) self.func, self.emptyvalue = func, emptyvalue local stagenum, mul = 1, 1 self.stage = {} -- use 1D Tree (stage[], not stage[][]) while mul < n do mul, stagenum = mul * 2, stagenum + 1 end self.stagenum = stagenum for i = 1, mul * 2 - 1 do self.stage[i] = emptyvalue end for i = 1, n do self.stage[mul + i - 1] = i end self:updateAll() end SegTree.update = function(self, idx, force) idx = idx + pow2[self.stagenum] - 1 for i = self.stagenum - 1, 1, -1 do local dst = mfl(idx / 2) local rem = dst * 4 + 1 - idx self.stage[dst] = self.func(self.stage[idx], self.stage[rem]) if not force and self.stage[dst] ~= self.stage[idx] then break end idx = dst end end SegTree.new = function(n, func, emptyvalue) local obj = {} setmetatable(obj, {__index = SegTree}) obj:create(n, func, emptyvalue) return obj end local h, w = io.read("*n", "*n", "*l") local a = {} for i = 1, h do a[i] = {} local s = io.read() for b in s:gmatch("(%d+)") do table.insert(a[i], tonumber(b)) end end local n = h * w * 2 local len = {} local asked = {} local inf = 1000000007 * 1000 for i = 1, n do len[i] = inf asked[i] = false end len[1] = 0 asked[n + 1] = true local function mergefunc(x, y) if asked[x] then return y elseif asked[y] then return x else return len[x] < len[y] and x or y end end local st = SegTree.new(n, mergefunc, n + 1) local tasks = {1} local function walk(src, dst, cost) if len[src] + cost < len[dst] then len[dst] = len[src] + cost st:update(dst) end end local function walk0(src, dst) if len[src] < len[dst] then len[dst] = len[src] table.insert(tasks, dst) end end while true do local src = false if 0 < #tasks then src = tasks[#tasks] table.remove(tasks) else src = st.stage[1] end if asked[src] then break end if inf <= len[src] then break end asked[src] = true st:update(src, true) local alt = h * w < src local row = mce(src / w) local col = src - (row - 1) * w if not alt and row == h then break end if h < row then row = row - h end if alt then walk0(src, src - h * w) if row < h then walk(src, src + w, a[row + 1][col]) end else walk(src, src + h * w, a[row][col]) if col < w then walk0(src, src + 1) else walk0(src, src + 1 - w) end end end local ret = inf for i = 1, w do ret = mmi(ret, len[(h - 1) * w + i]) end print(ret) -- print(os.clock())