write a go solution for Description:
There are n parrots standing in a circle. Each parrot has a certain level of respect among other parrots, namely r_i. When a parrot with respect level x starts chattering, x neighbours to the right and to the left of it start repeating the same words in 1 second. Their neighbours then start repeating as well, and so on, until all the birds begin to chatter.

You are given the respect levels of all parrots. For each parrot answer a question: if this certain parrot starts chattering, how many seconds will pass until all other birds will start repeating it?

Input Format:
In the first line of input there is a single integer n, the number of parrots (1<=n<=10^5).

In the next line of input there are n integers r_1, ..., r_n, the respect levels of parrots in order they stand in the circle (1<=r_i<=n).

Output Format:
Print n integers. i-th of them should equal the number of seconds that is needed for all parrots to start chattering if the i-th parrot is the first to start.

Note:
None. Output only the code with no comments, explanation, or additional text.