Problem Statement

$N$ people labeled from $1$ to $N$ participated in a certain contest. The score of person $i$ ($1 \leq i \leq N$) was $P_i$.

In this contest, the rank of each of the $N$ people is determined by the following procedure:

1. Prepare a variable $r$, and initialize $r = 1$. Initially, the ranks of the $N$ people are all undetermined.
2. Repeat the following operation until the ranks of all $N$ people are determined:
   • Let $x$ be the maximum score among the people whose ranks are currently undetermined, and let $k$ be the number of people whose score is $x$. Determine the rank of those $k$ people with score $x$ to be $r$, and then add $k$ to $r$.

Print the rank of each of the $N$ people.

Constraints

• $1\leq N \leq 100$
• $1\leq P_i \leq 100$
• All input values are integers.

Sample Input 1Copy

4
3 12 9 9

Sample Output 1Copy

4
1
2
2

The ranks of the $N\ (=4)$ people are determined as follows:

1. Prepare a variable $r$ and initialize $r=1$. At first, the ranks of all $4$ people are undetermined.
2. Currently, persons $1, 2, 3, 4$ have undetermined ranks. The maximum score among them is $P_2\ (=12)$. Therefore, determine the rank of person $2$ to be $r\ (=1)$, and then add $1$ to $r$, making $r=2$.
3. Currently, persons $1, 3, 4$ have undetermined ranks. The maximum score among them is $P_3=P_4\ (=9)$. Therefore, determine the ranks of persons $3$ and $4$ to be $r\ (=2)$, and then add $2$ to $r$, making $r=4$.
4. Currently, person $1$ has an undetermined rank. The maximum score among them is $P_1\ (=3)$. Therefore, determine the rank of person $1$ to be $r\ (=4)$, and then add $1$ to $r$, making $r=5$.
5. The ranks of all $4$ people are now determined, so the process ends.

Sample Input 2Copy

3
3 9 6

Sample Output 2Copy

3
1
2

Sample Input 3Copy

4
100 100 100 100

Sample Output 3Copy

1
1
1
1

Sample Input 4Copy

8
87 87 87 88 41 38 41 38

Sample Output 4Copy

2
2
2
1
5
7
5
7