; and (III) the rate of unsheltered homelessness in each State compared to each other State, as reported in each State's most recent point-in-time count. (iii) Disbursement Not later than 30 days after an eligible public housing agency submits an acceptable statement under subparagraph (A)(iv)(III), the Secretary shall disburse amounts authorized under clause (i) of this subparagraph in accordance with the formula established under clause (ii) of this subparagraph. (iv) Minimum and maximum allocation The Secretary shall ensure that— (I) each eligible public housing agency does not receive more than 10 percent of the amount authorized under clause (i); and (II) each State in which an eligible public housing agency receives funds under clause (i) does not receive more than 25 percent of the total amount authorized under that clause. (v) Eligible activities A recipient of funds authorized under clause (i) may only use the funds for— (I) hiring and personnel needs, such as case managers and housing placement advisory; (II) physical infrastructure— (aa) including increased office space or facilities for the provision of supportive services; and (bb) not including residential housing; (III) technological infrastructure needs, including upgrades to the HMIS; and (IV) any other capacity-related investments that are necessary for the public housing agency to— (aa) develop, acquire, or rehabilitate housing that is affordable to extremely low-income families, to be made available to people experiencing homelessness