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Ordinance No. 2104-45 grants a "Senior Home Aid" to residents who meet all of the following conditions: (i) the owner is at least 65 years old; (ii) the resident has resided in the city for at least 7 consecutive years; (iii) the property is the owner's primary residence. The aid is denied to owners who fail any one condition. Three applicants apply: Applicant A: 66 years old, resident for 9 years, owner, primary residence. Applicant B: 68 years old, resident for 5 years, owner, primary residence. Applicant C: 60 years old, resident for 10 years, owner, primary residence. (a) Identify the controlling doctrine and the requisites for valid classification under equal protection. (b) Analyze whether the classification as applied to A, B, and C is valid, distinguishing legitimate distinctions from arbitrary ones. (c) If invalid, propose a constitutional modification that preserves the objective while complying with equal protection.