local mfl, mce = math.floor, math.ceil local bls, brs = bit.lshift, bit.rshift local bxor = bit.bxor local bor, band = bit.bor, bit.band local function grayCode(x) return bxor(x, brs(x, 1)) end -- add_func(idx), rm_func(idx), work_func() local function grayWalk(size, add_func, rm_func, work_func) local prv = 0 local total = bls(1, size) - 1 local bpos = {} for i = 1, size do bpos[bls(1, i - 1)] = i end -- work_func() for i = 1, total do local v = grayCode(i) if prv < v then prv, v = v, v - prv add_func(bpos[v]) else prv, v = v, prv - v rm_func(bpos[v]) end work_func() end end local function grayWalk3(size, work_func, box) assert(size <= 15) local prv = 0 local total = 3^size - 1 local rep = 3^(size-1) local bpos = {} for i = 1, size do bpos[bls(1, i - 1)] = i end local v2 = 0 for i = 1, size do box[i] = 0 end local function incOne() if box[1] == 0 then box[1] = 1 v2 = v2 + 1 elseif box[1] == 1 then box[1] = 2 else box[1] = 0 v2 = v2 - 1 end work_func(1) end local function incX() local z = band(v2, -v2) * 2 local p = bpos[z] if box[p] == 0 then box[p] = 1 v2 = v2 + z elseif box[p] == 1 then box[p] = 2 else box[p] = 0 v2 = v2 - z end work_func(p) end -- work_func(1) incOne() incOne() for i = 1, rep - 1 do incX() incOne() incOne() end end local h, w, k = io.read("*n", "*n", "*n") if k == 1 then print(1) os.exit() end local n = h * w local box = {} if k == 2 then local tot = bls(1, n) - 1 local ret = 0 local t = {} for i = 1, n do box[i] = 0 end local function stamp() local mul = 1 local v = 0 for i = 1, n do v = v + mul * box[i] mul = mul * 2 end t[v] = true end for i = 1, tot - 1 do if not t[i] then ret = ret + 1 local ti = i for j = 1, n do box[j] = ti % 2 ti = brs(ti, 1) end local tmp = {} for rep = 1, h do for k = 1, w do tmp[k] = box[k] end for j = 2, h do for k = 1, w do local idx = (j - 1) * w + k box[idx - w] = box[idx] end end for k = 1, w do local idx = (h - 1) * w + k box[idx] = tmp[k] end for rep2 = 1, w do for k = 1, h do tmp[k] = box[(k - 1) * w + 1] end for k = 2, w do for j = 1, h do local idx = (j - 1) * w + k box[idx - 1] = box[idx] end end for k = 1, h do local idx = (k - 1) * w + w box[idx] = tmp[k] end stamp() end end end end print(ret) os.exit() else local tot = 1 for i = 1, n do tot = tot * 3 end tot = tot - 1 local ret = 0 local t = {} for i = 1, n do box[i] = 0 end local function stamp() local mul = 1 local v = 0 for i = 1, n do v = v + mul * box[i] mul = mul * 3 end t[v] = true end for i = 1, tot - 1 do local ti = i for j = 1, n do box[j] = ti % 3 ti = mfl(ti / 3) end local c0, c1, c2 = 0, 0, 0 for j = 1, n do if box[j] == 0 then c0 = c0 + 1 end if box[j] == 1 then c1 = c1 + 1 end if box[j] == 2 then c2 = c2 + 1 end end if not t[i] and 0 < c0 and 0 < c1 and 0 < c2 then ret = ret + 1 local tmp = {} for rep = 1, h do for k = 1, w do tmp[k] = box[k] end for j = 2, h do for k = 1, w do local idx = (j - 1) * w + k box[idx - w] = box[idx] end end for k = 1, w do local idx = (h - 1) * w + k box[idx] = tmp[k] end for rep2 = 1, w do for k = 1, h do tmp[k] = box[(k - 1) * w + 1] end for k = 2, w do for j = 1, h do local idx = (j - 1) * w + k box[idx - 1] = box[idx] end end for k = 1, h do local idx = (k - 1) * w + w box[idx] = tmp[k] end stamp() end end end end print(ret) os.exit() end