GATE 2024 Question 43: Budget constraint and consumer equilibrium

Consider a Cobb-Douglas utility function given as $U(H) = (24-H)^{1-a}(wH)^a$, where $H$ is the number of hours spent working per day, and $w$ is the wage rate per hour. If $a=\dfrac12$, then the corresponding labour supply (in hours) is ______ (in integer).