Secret Hitler Meta

First President Picks the Person Ahead of them by the number of players in the game divided by 2, rounded down.
Following Presidents Pick the Person Ahead of that until all are in government

Example:
In a 5 Player Game, First President is Position 2, he/she picks Position 4. Position 3 Picks Position 5. Position 4 Picks Position 1.
In a 6 Player Game, First President is Position 4, he/she picks Position 1. Position 5 Picks Position 2. Position 6 Picks Position 3.
In a 7 Player Game, First President is Position 1, he/she picks Position 4. Position 2 Picks Position 5. Position 3 Picks Position 6. Position 4 Picks Position 7.
In a 8 Player Game, First President is Position 3, he/she picks Position 7. Position 4 Picks Position 8. Position 5 Picks Position 1. Position 6 Picks Position 2.
In a 9 Player Game, First President is Position 6, he/she picks Position 1. Position 7 Picks Position 2. Position 8 Picks Position 3. Position 9 Picks Position 4. Position 1 Picks Position 5.
In a 10 Player Game, First President is Position 8, he/she picks Position 3. Position 9 picks Position 4. Position 10 picks Position 5. Position 1 Picks Position 6. Position 2 Picks Position 7.