the products, for each of the categories of Medicaid beneficiaries specified in paragraph (2) , of the following: (A) Beneficiary-based quarterly amount The beneficiary-based quarterly amount for such category computed under subsection (c) for such State for such quarter. (B) Number of individuals in category Subject to subsection (d) , the average number of Medicaid beneficiaries enrolled in such category in the State in such quarter. (2) Categories The categories specified in this paragraph are the following: (A) Elderly A category of Medicaid beneficiaries who are 65 years of age or older. (B) Blind or disabled A category of Medicaid beneficiaries not described in subparagraph (A) who are described in section 1937(a)(2)(B)(ii). (C) Children A category of Medicaid beneficiaries not described in subparagraph (B) who are under 21 years of age. (D) Other adults A category of any Medicaid beneficiaries who are not described in a previous subparagraph of this paragraph. (c) Computation of per beneficiary, per category quarterly amount (1) In general For a State, for each category of beneficiary for a quarter— (A) First reform year For quarters in the first reform year (as defined in subsection (k)(2)), the beneficiary-based quarterly amount is equal to 1/4 of the base average per beneficiary Federal payments for such State for such category determined under paragraph (2) , increased by a factor that reflects the sum of the following: (i) Historical medical care component of CPI through previous reform year The percentage increase in the historical medical care component of the Consumer Price Index for all urban consumers (U.S. city average) from the midpoint of the base fiscal year (as defined in paragraph (6) ) to the midpoint of the fiscal year preceding the first reform year. (ii) Projected medical care component of CPI for the first reform year The percentage increase in the projected medical care component of the Consumer Price Index for all urban consumers (U.S. city average) from the midpoint of the previous