Problem: Mishka has got n empty boxes. For every i (1 ≤ i ≤ n), i-th box is a cube with side length ai.
Mishka can put a box i into another box j if the following conditions are met:
- i-th box is not put into another box;
- j-th box doesn't contain any other boxes;
- box i is smaller than box j (ai < aj).
Mishka can put boxes into each other an arbitrary number of times. He wants to minimize the number of visible boxes. A box is called visible iff it is not put into some another box.
Help Mishka to determine the minimum possible number of visible boxes!
Input Format: The first line contains one integer n (1 ≤ n ≤ 5000) — the number of boxes Mishka has got.
The second line contains n integers a1, a2, ..., an (1 ≤ ai ≤ 109), where ai is the side length of i-th box.
Output Format: Print the minimum possible number of visible boxes.
Note: In the first example it is possible to put box 1 into box 2, and 2 into 3.
In the second example Mishka can put box 2 into box 3, and box 4 into box 1.