section, compensation under this Act shall be made to an individual otherwise eligible for such compensation without any waiting period. (f) Agreements with States (1) In general The Secretary shall provide the assistance authorized under subsection (b) through agreements with States which, in the judgment of the Secretary, have an adequate system for administering such assistance through existing State agencies. (2) Payments to States There shall be paid to each State which has entered into an agreement under this subsection an amount equal to 100 percent of— (A) the total amount of assistance provided by the State pursuant to such agreement