Problem Statement

At JOI High School, there are $N$ students, numbered from $1$ to $N$.

Last month, a marathon race was held at JOI High School, and all the students participated in it. The record of student $i$ ($1 \le i \le N$) was $A_i$ minutes.

Find the rank of each student in the marathon race. Here, the rank of student $i$ ($1 \le i \le N$) is calculated as (the number of students whose record is less than $A_i$ minutes) $+ 1$.

Constraints

• $1 \le N \le 100$.
• $1 \le A_i \le 1000$ ($1 \le i \le N$).
• All input values are integers.

Input

The input is given in the following format:

$N$ $A_1 \ A_2 \ \dots \ A_N$

Output

Output $N$ lines. On the $i$-th line ($1 \le i \le N$), output the rank of student $i$.

Sample Input and Output

Sample Input 1

3
44 42 69

Sample Output 1

2
1
3

• The record of student $1$ is $44$ minutes. Since there is $1$ student whose record is less than $44$ minutes, the rank of student $1$ is $2$-nd place. Therefore, output $2$ on the $1$-st line.
• The record of student $2$ is $42$ minutes. Since there are no students whose record is less than $42$ minutes, the rank of student $2$ is $1$-st place. Therefore, output $1$ on the $2$-nd line.
• The record of student $3$ is $69$ minutes. Since there are $2$ students whose record is less than $69$ minutes, the rank of student $3$ is $3$-rd place. Therefore, output $3$ on the $3$-rd line.

Sample Input 2

4
40 60 40 60

Sample Output 2

1
3
1
3

• The record of student $1$ is $40$ minutes. Since there are no students whose record is less than $40$ minutes, the rank of student $1$ is $1$-st place. Therefore, output $1$ on the $1$-st line.
• The record of student $2$ is $60$ minutes. Since there are $2$ students whose record is less than $60$ minutes, the rank of student $2$ is $3$-rd place. Therefore, output $3$ on the $2$-nd line.
• The record of student $3$ is $40$ minutes. Since there are no students whose record is less than $40$ minutes, the rank of student $3$ is $1$-st place. Therefore, output $1$ on the $3$-rd line.
• The record of student $4$ is $60$ minutes. Since there are $2$ students whose record is less than $60$ minutes, the rank of student $4$ is $3$-rd place. Therefore, output $3$ on the $4$-th line.

Sample Input 3

10
766 152 595 926 663 509 368 595 175 622

Sample Output 3

9
1
5
10
8
4
3
5
2
7