R2 Explain the identitiy inf c [ 0,1] 1 2 (c + a c) null a + a/2

We thank the reviwers for the feedback. Please find the responses for other comments/queries below. Please be specific about what part of [31] is being referenced in line 166. It is Theorem-6.7 of page 336 of [31], We will be more precise in the final version. We mentioned the gist of the algorithms in line 66-69.