Urmi is playing a game on a computer. If the computer screen displays the number x, then in
the next move, Urmi can do one of the following:
1. Replace x by 4x + 1
2. Replace x by the largest integer not greater
than x/2
Initially the computer screen displays 0. How
many different integers less than or equal to 2020
can Urmi achieve through a sequence of moves?
It is permitted for the number displayed on the
screen to exceed 2020 during the sequence.