Peter Parker wants to play a game with Dr. Octopus. The game is about cycles. Cycle is a sequence of vertices, such that first one is connected with the second, second is connected with third and so on, while the last one is connected with the first one again. Cycle may consist of a single isolated vertex. Initially there are k cycles, i -th of them consisting of exactly v i vertices. Players play alternatively. Peter goes first. On each turn a player must choose a cycle with at least 2 vertices (for example, x vertices) among all available cycles and replace it by two cycles with p and x - p vertices where 1 ≤ p < x is chosen by the player. The player who cannot make a move loses the game (and his life!). Peter wants to test some configurations of initial cycle sets before he actually plays with Dr. Octopus. Initially he has an empty set. In the i -th test he adds a cycle with a i vertices to the set (this is actually a multiset because it can contain two or more identical cycles). After each test, Peter wants to know that if the players begin the game with the current set of cycles, who wins? Peter is pretty good at math, but now he asks you to help. The first line of the input contains a single integer n ( 1 ≤ n ≤ 100 000 ) — the number of tests Peter is about to make. The second line contains n space separated integers a 1 , a 2 , ..., a n ( 1 ≤ a i ≤ 10 9 ), i -th of them stands for the number of vertices in the cycle added before the i -th test. Print the result of all tests in order they are performed. Print 1 if the player who moves first wins or 2 otherwise. In the first sample test: In Peter's first test, there's only one cycle with 1 vertex. First player cannot make a move and loses. In his second test, there's one cycle with 1 vertex and one with 2 . No one can make a move on the cycle with 1 vertex. First player can replace the second cycle with two cycles of 1 vertex and second player can't make any move and loses. In his third test, cycles h