Given real vectors $v$ and $r$ of the same size, what are the following? 

 1. $\inf\{v'R^{-1}v \colon R>0, \text{diag}(R)= r\}$ 
 2. $\sup\{v'Rv \colon R>0, \text{diag}(R)= r\}$

Note: $R > 0$ denotes positive definiteness, $x'$ denotes transpose, $\text{diag}(R)$ is the vector of the diagonal entries of matrix $R$.