Exercise 4-22

Consider the following Cost profunctors \(\textcolor{blue}{\phi},\textcolor{red}{\psi}\) \[\begin{tikzcd}[ampersand replacement=\&] A \arrow[d, "3"', bend right] \& B \arrow[l, "2"', bend right] \arrow[d, "5", bend left] \arrow[r, "11", blue, dotted, bend left] \& x \arrow[rr, "3", bend left] \arrow[rd, "4", bend left] \& \& z \arrow[ld, "4", bend left] \arrow[r, "4", red,dotted, bend left] \arrow[rd, red, "4", dotted, bend right] \& p \arrow[r, "2", bend left] \& q \arrow[d, "2", bend left] \\ C \arrow[ru, "3"] \& D \arrow[l, "4", bend left] \arrow[rr, blue, "9", dotted, bend right] \& \& y \arrow[lu, "3", bend left] \arrow[rrr, red, "0", dotted, bend right=49] \& \& d \arrow[u, "1", bend left] \& r \arrow[l, "1", bend left] \end{tikzcd}\]

Fill in the matrix for the composite profunctor.