n = int(input()) info = [list(map(int, input().split())) for i in range(n)] # dp[bit_state][i][j] := bit_stateの積み木を使って、最後に使ったのがi番目の積み木。 # また、i番目の積み木のj番目の辺が高さになっている # dp = [[[-1] * (3) for i in range(n)] for j in range(1 << n)] dq = [[[-1] * (1 << n) for i in range(n)] for j in range(3)] for i in range(n): for j, val in enumerate(info[i]): # dp[1 << i][i][j] = val dq[j][i][1 << i] = val for bit_state in range(1 << n): for i in range(n): if not((1 << i) & bit_state): continue # i番目はすでに積まれているので、dp[bit_state][i][?]から遷移出来る for j in range(n): if (1 << j) & bit_state: continue # j番目はまだ積まれていないので、dp[bit_state|j][j][?] <- dp[bit_state][i][?]と遷移出来る for ii in range(3): for jj in range(3): ai, bi = info[i][(ii + 1) % 3], info[i][(ii + 2) % 3] aj, bj = info[j][(jj + 1) % 3], info[j][(jj + 2) % 3] # if dp[bit_state][i][ii] == -1: if dq[ii][i][bit_state] == -1: continue if (aj <= ai and bj <= bi) or (aj <= bi and bj <= ai): # dp[bit_state|(1 << j)][j][jj] = max(dp[bit_state][i][ii] + info[j][jj], dp[bit_state|(1 << j)][j][jj]) dq[jj][j][bit_state|(1 << j)] = max(dq[ii][i][bit_state] + info[j][jj], dq[jj][j][bit_state|(1 << j)]) ans = 0 for bit_state in range(1 << n): for i in range(n): for j in range(3): ans = max(ans, dq[j][i][bit_state]) print(ans)