What are the conditions under which a defendant must not engage or offer to engage in sexual activity in public places?

The trial court suspended imposition of sentence, and placed defendant on probation for 36 months on various conditions. Defendant contends the following two conditions were invalid: "Do not engage or offer to engage in sexual activity in a public place or a place open to the public or exposed to public view. [] Do not rent, register, occupy, or be present in any motel or hotel room unless it is your actual residence and registered or rented to you in your true name." Defendant contends the conditions are unreasonable under People v. Lent (1975) 15 Cal.3d 481, 486 (Lent), the former condition is unconstitutionally vague, and the latter violates his constitutional right to travel.