100851: [AtCoder]ABC085 B - Kagami Mochi
Description
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:
$N$ $d_1$ $:$ $d_N$
Output
Print the maximum number of layers in a kagami mochi that can be made.
Sample Input 1
4 10 8 8 6
Sample Output 1
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.
Sample Input 2
3 15 15 15
Sample Output 2
1
When all the mochi have the same diameter, we can only have a $1$-layered kagami mochi.
Sample Input 3
7 50 30 50 100 50 80 30
Sample Output 3
4