A branch office is shut on Sundays, on 2nd and 4th Saturdays and on the holidays shaded orange. How many working days does it have in the two months shown?

May 2030 (31 days, starts Wed): Sundays 5, 12, 19, 26 (4); Saturdays 4, 11, 18, 25, so 2nd/4th are 11 and 25 (2); holiday 1 May (Wed): 31 − 4 − 2 − 1 = 24. June 2030 (30 days, starts Sat): Sundays 2, 9, 16, 23, 30 (5); Saturdays 1, 8, 15, 22, 29, so 2nd/4th are 8 and 22 (2); holidays 17 June (Mon) and 22 June, which is the 4th Saturday and already shut: 30 − 5 − 2 − 1 = 22. Total 24 + 22 = 46. (45 subtracts 22 June twice.)