Problem:
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

Solution in Rust (1.15.1) (judge verdict: Accepted)

macro_rules! input {
    (source = $s:expr, $($r:tt)*) => {
        let mut iter = $s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
    ($($r:tt)*) => {
        let s = {
            use std::io::Read;
            let mut s = String::new();
            std::io::stdin().read_to_string(&mut s).unwrap();
            s
        };
        let mut iter = s.split_whitespace();
        input_inner!{iter, $($r)*}
    };
}

macro_rules! input_inner {
    ($iter:expr) => {};
    ($iter:expr, ) => {};

    ($iter:expr, $var:ident : $t:tt $($r:tt)*) => {
        let $var = read_value!($iter, $t);
        input_inner!{$iter $($r)*}
    };
}

macro_rules! read_value {
    ($iter:expr, ( $($t:tt),* )) => {
        ( $(read_value!($iter, $t)),* )
    };

    ($iter:expr, [ $t:tt ; $len:expr ]) => {
        (0..$len).map(|_| read_value!($iter, $t)).collect::<Vec<_>>()
    };

    ($iter:expr, chars) => {
        read_value!($iter, String).chars().collect::<Vec<char>>()
    };

    ($iter:expr, usize1) => {
        read_value!($iter, usize) - 1
    };

    ($iter:expr, $t:ty) => {
        $iter.next().unwrap().parse::<$t>().expect("Parse error")
    };
}

#[allow(dead_code)]
fn practice_1() {
    input! {
    n: i32,
    m: [i32; 2],
    s: chars,
    }
    let s: Vec<char> = s;
    let s: String = s.into_iter().collect();

    println!("{} {}", n + m[0] + m[1], s);
}

#[allow(dead_code)]
fn abc086_a() {
    input! {
    n: [i32; 2],
    }
    let prod: i32 = n[0] * n[1];
    let res = if prod % 2 == 0 {
        "Even"
    } else {
        "Odd"
    };
    println!("{}", res)
}

#[allow(dead_code)]
fn abc081_a() {
    input! {
    s: chars,
    }
    let s: Vec<char> = s;
    let res: u32 = s.iter().map(|n| n.to_digit(10).unwrap()).sum();

    println!("{}", res)
}

#[allow(dead_code)]
fn abc081_b() {
    input! {
    n: i32,
    arr: [i32; n],
    }
    let mut arr: Vec<i32> = arr;
    let mut cnt = 0;

    loop {
        if arr.iter().any(|v| (v % 2) == 1) {
            break;
        }
        arr = arr.iter().map(|v| v / 2).collect();
        cnt += 1;
    }

    println!("{}", cnt)
}

#[allow(dead_code)]
fn abc083_b() {
    input! {
    arr: [i32; 3],
    }

    let n: i32 = arr[0];
    let a: i32 = arr[1];
    let b: i32 = arr[2];

    let (vals, _total): (Vec<i32>, Vec<i32>) = (0..n + 1)
        .map(|i| {
            let d0 = i - (i / 10) * 10;
            let d1 = (i / 10) - (i / 100) * 10;
            let d2 = (i / 100) - (i / 1000) * 10;
            let d3 = (i / 1000) - (i / 10000) * 10;
            let d4 = (i / 10000) - (i / 100000) * 10;
            (i, d0 + d1 + d2 + d3 + d4)
        })
        .filter(|&(_i, total)| {
            (a <= total) && (total <= b)
        })
        .unzip();
//        .for_each(|(i, _total)| {
//            res += i;
//        });
    let res: i32 = vals.iter().sum();

    println!("{:?}", res)
}

#[allow(dead_code)]
fn abc087_b() {
    input! {
    n_500: i32,
    n_100: i32,
    n_50: i32,
    total: i32,
    }

    let n_500: i32 = n_500;
    let n_100: i32 = n_100;
    let n_50: i32 = n_50;
    let total: i32 = total;
    let mut cnt = 0;

    for i in 0..n_500 + 1 {
        for j in 0..n_100 + 1 {
            for k in 0..n_50 + 1 {
                let total_tried = i * 500 + j * 100 + k * 50;
                if total_tried == total {
//                    println!("{}, {}, {}", i, j, k);
                    cnt += 1;
                }
            }
        }
    }

    println!("{}", cnt)
}

#[allow(dead_code)]
fn abc088_b() {
    input! {
    n_items: i32,
    arr: [i32; n_items],
    }

    let mut arr: Vec<i32> = arr;
    arr.sort();

    let res: i32 = arr.iter().rev()
        .enumerate()
        .map(|(i, &v)| {
            if (i % 2) == 0 {
                v
            } else {
                -v
            }
        })
        .sum();

    println!("{:?}", res)
}

#[allow(dead_code)]
fn abc085_b() {
    input! {
    n_: usize,
    arr: [[i32; 1]; n_],
    }

    let arr: Vec<Vec<i32>> = arr;
    let mut arr: Vec<i32> = arr.iter()
//        .flatten()
        .flat_map(|a| a)
        .cloned()
        .collect();
    arr.sort();
    arr.dedup();

    println!("{:?}", arr.len())
}

fn main() {
    abc085_b()
}