Consider the reapportionment following the 2010 U.S. Census: beginning with all states initially being allocated one seat, the largest value of "A"1 corresponds to the largest state, California, which is allocated seat 51. After being allocated its 2nd seat, its priority value decreases to its "A"2 value, which is reordered to a position back in line. The 52nd seat goes to Texas, the 2nd largest state, because its "A"1 priority value is larger than the "An" of any other state. However, the 53rd seat goes back to California because its "A"2 priority value is larger than the "An" of any other state. The 54th seat goes to New York because its "A"1 priority value is larger than the "An" of any other state at this point. This process continues until all remaining seats are assigned. Each time a state is assigned a seat, "n" is incremented by 1, causing its priority value to be reduced and reordered among the states, whereupon another state normally rises to the top of the list.