instruction: provide the number of patients whose diagnoses short title is other psoriasis and drug route is inhalation?
response: SELECT COUNT(DISTINCT demographic.subject_id) FROM demographic INNER JOIN diagnoses ON demographic.hadm_id = diagnoses.hadm_id INNER JOIN prescriptions ON demographic.hadm_id = prescriptions.hadm_id WHERE diagnoses.short_title = "Other psoriasis" AND prescriptions.route = "INHALATION"