local mmi, mma = math.min, math.max local bls, brs = bit.lshift, bit.rshift local n, m = io.read("*n", "*n") local tot = bls(1, n) local cost = {} for i = 1, n do cost[i] = {} end for i = 1, m do local a, b, s = io.read("*n", "*n", "*n") a, b = a + 1, b + 1 cost[a][b] = s end local function bdp_prepare() local alltask = {} local stagetask = {} for i = 1, n do stagetask[i] = {} end for i = 1, tot - 1 do -- set empty state alltask[i] = 0 end for i = 1, tot - 1 do local ti = i local cnt = 0 for j = 1, n do if ti % 2 == 1 then cnt = cnt + 1 ti = ti - 1 end ti = ti / 2 end table.insert(stagetask[cnt], i) end -- set first state local tmp = 1 for i = 1, n do alltask[tmp] = 0 tmp = tmp * 2 end return alltask, stagetask end local function bdp_doall(alltask, stagetask) for stage = 1, n - 1 do local stlen = #stagetask[stage] for i_stagetask = 1, stlen do local used = stagetask[stage][i_stagetask] local usedlist = {} do local tmp = used for j = 1, n do if tmp % 2 == 1 then table.insert(usedlist, j) tmp = tmp - 1 end tmp = tmp / 2 end end local mul = 1 local tmp = used for j = 1, n do if tmp % 2 == 0 then local point = 0 for k = 1, #usedlist do local v = cost[usedlist[k]][j] if v then point = point + v end end alltask[used + mul] = mma(alltask[used + mul], alltask[used] + point) else tmp = tmp - 1 end tmp = tmp / 2 mul = mul * 2 end end end end local function bdp_getresult(alltask) return alltask[tot - 1] end local at, st = bdp_prepare() bdp_doall(at, st) local ret = bdp_getresult(at) print(ret)