|Codeforces Round #153 (Div. 1)|
Little Petya likes numbers a lot. Recently his mother has presented him a collection of n non-negative integers. There's only one thing Petya likes more than numbers: playing with little Masha. He immediately decided to give a part of his new collection to her. To make the game even more interesting, Petya decided to give Masha such collection of numbers for which the following conditions fulfill:
The xor operation is a bitwise excluding "OR", that is denoted as "xor" in the Pascal language and "^" in C/C++/Java.
Help Petya divide the collection as described above. If there are multiple suitable ways to divide it, find any of them. Please note that after Petya gives a part of his numbers to Masha, he may have no numbers left. The reverse situation is also possible, when Petya gives nothing to Masha. In both cases we must assume that the xor of an empty set of numbers equals 0.
The first line contains integer n (1 ≤ n ≤ 105), showing how many numbers Petya's mother gave him. The second line contains the actual space-separated numbers. They are all integer, non-negative and do not exceed 1018.
Print n space-separated integers, the i-th of them should equal either 1, if Petya keeps the number that follows i-th in his collection, or it should equal 2, if Petya gives the corresponding number to Masha. The numbers are indexed in the order in which they are given in the input.
1 2 3 4 5 6
2 2 2 2 2 2
1000000000000 1000000000000 1000000000000
2 2 2
1 1 2 2 3 3 4 4
1 2 1 2 2 2 1 2