Is it possible to calculate the following recurrences in $$$O(N*2^N)$$$.

1) $$$dp[mask] = min(dp[mask] , dp[m_1] + dp[m_2]);$$$
where $$$m_1|m_2 = mask$$$

2) $$$dp[mask] = min(dp[mask] , dp[m_1] + dp[m_2]);$$$
where $$$m_1 \oplus m_2 = mask$$$ and $$$m_1$$$ ,$$$m_2$$$ are subsets of mask.