Amar has an endowment of food $F_A = 2$ and water $W_A = 5$. Barun has an endowment of food $F_B = 8$ and water $W_B = 5$. Amar’s utility function is given by
\[
U_A(f_A, w_A) = f_A^2 w_A;
\]
where $f_A$ and $w_A$ are his consumption of food and water, respectively.
Barun’s utility function is given by
\[
U_B(f_B, w_B) = \min\{f_B, w_B\};
\]
where $f_B$ and $w_B$ are his consumption of food and water, respectively. They exchange food and water at prices $p_f$ and $p_w$, respectively, to maximize their utilities. In the competitive equilibrium, $\dfrac{p_f{p_w}$ equals \_\_\_\_\_\_\_\_\_\_\_. (in integer)}