Subordinates

Given the structure of a company, your task is to calculate for each employee the number of their subordinates.

Input

The first line has an integer $n(1\le n\le 2\cdot 10^5)$ — the number of employees. The employees are numbered $1$, $2$, ..., $n$, and employee $1$ is the general director of the company.

After this, there are $n-1$ integers: for each employee $2$, $3$, ... , $n$ their direct boss in the company.

Output

Print $n$ integers: for each employee $1$, $2$, ..., $n$ the number of their subordinates.

Examples