Sonya decided to organize an exhibition of flowers. Since the girl likes only roses and lilies, she decided that only these two kinds of flowers should be in this exhibition.
There are n
flowers in a row in the exhibition. Sonya can put either a rose or a lily in the i-th position. Thus each of npositions should contain exactly one flower: a rose or a lily.
She knows that exactly m
people will visit this exhibition. The i-th visitor will visit all flowers from li to riinclusive. The girl knows that each segment has its own beauty that is equal to the product of the number of roses and the number of lilies.
Sonya wants her exhibition to be liked by a lot of people. That is why she wants to put the flowers in such way that the sum of beauties of all segments would be maximum possible.
The first line contains two integers n
) — the number of flowers and visitors respectively.
Each of the next m
![](/qrcode.jpg)
inclusive.
Print the string of n
-th position, otherwise «1» if you want to put a lily.
If there are multiple answers, print any.
5 3 1 3 2 4 2 5
01100
6 3 5 6 1 4 4 6
110010
In the first example, Sonya can put roses in the first, fourth, and fifth positions, and lilies in the second and third positions;
- in the segment [1…3]
- .
The total beauty is equal to 2+2+4=8
.
In the second example, Sonya can put roses in the third, fourth, and sixth positions, and lilies in the first, second, and fifth positions;
- in the segment [5…6]
- .
The total beauty is equal to 1+4+2=7