#AT1174. B - Kagami Mochi

B - Kagami Mochi

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B - Kagami Mochi

Score : $200$ points

Problem Statement

An $X$-layered kagami mochi $(X ≥ 1)$ is a pile of $X$ round mochi (rice cake) stacked vertically where each mochi (except the bottom one) has a smaller diameter than that of the mochi directly below it. For example, if you stack three mochi with diameters of $10$, $8$ and $6$ centimeters from bottom to top in this order, you have a $3$-layered kagami mochi; if you put just one mochi, you have a $1$-layered kagami mochi.

Lunlun the dachshund has $N$ round mochi, and the diameter of the $i$-th mochi is $d_i$ centimeters. When we make a kagami mochi using some or all of them, at most how many layers can our kagami mochi have?

Constraints

  • $1 ≤ N ≤ 100$
  • $1 ≤ d_i ≤ 100$
  • All input values are integers.

Input

Input is given from Standard Input in the following format:

NN

d1d_1

::

dNd_N

Output

Print the maximum number of layers in a kagami mochi that can be made.


4
10
8
8
6
3

If we stack the mochi with diameters of $10$, $8$ and $6$ centimeters from bottom to top in this order, we have a $3$-layered kagami mochi, which is the maximum number of layers.


3
15
15
15
1

When all the mochi have the same diameter, we can only have a $1$-layered kagami mochi.


7
50
30
50
100
50
80
30
4