use std::cmp;

const MOD: usize = 998244353;

fn mod_pow(x: usize, e: usize) -> usize {
    let mut cur = x;
    let mut e = e;
    let mut result = 1;
    while e > 0 {
        if e & 1 != 0 {
            result = (result * cur) % MOD;
        }
        e >>= 1;
        cur = (cur * cur) % MOD;
    }
    result
}

fn main() {
    let mut sc = Scanner::new();
    let n = sc.read();
    let vertices: Vec<(i64, i64)> = (0..n).map(|_| (sc.read(), sc.read())).collect();
    let mut ans = mod_pow(2, n);
    ans = (ans + MOD - n - 1) % MOD;
    for i in 0..n {
        for j in (i + 1)..n {
            let mut l_id = i;
            let mut r_id = j;
            let (lx, ly) = vertices[i];
            let (rx, ry) = vertices[j];
            let dx = lx - rx;
            let dy = ly - ry;
            let mut count = 0;
            for (k, &(x, y)) in vertices.iter().enumerate() {
                let tx = x - rx;
                let ty = y - ry;
                if dx * ty == dy * tx {
                    count += 1;
                    l_id = cmp::min(l_id, k);
                    r_id = cmp::max(r_id, k);
                }
            }
            if l_id != i || r_id != j {
                continue;
            }
            ans = (ans + MOD - mod_pow(2, count) + count + 1) % MOD;
        }
    }
    println!("{}", ans);
}

struct Scanner {
    ptr: usize,
    length: usize,
    buf: Vec<u8>,
    small_cache: Vec<u8>,
}

#[allow(dead_code)]
impl Scanner {
    fn new() -> Scanner {
        Scanner {
            ptr: 0,
            length: 0,
            buf: vec![0; 1024],
            small_cache: vec![0; 1024],
        }
    }

    fn load(&mut self) {
        use std::io::Read;
        let mut s = std::io::stdin();
        self.length = s.read(&mut self.buf).unwrap();
    }

    fn byte(&mut self) -> u8 {
        if self.ptr >= self.length {
            self.ptr = 0;
            self.load();
            if self.length == 0 {
                self.buf[0] = b'\n';
                self.length = 1;
            }
        }

        self.ptr += 1;
        return self.buf[self.ptr - 1];
    }

    fn is_space(b: u8) -> bool {
        b == b'\n' || b == b'\r' || b == b'\t' || b == b' '
    }

    fn read_vec<T>(&mut self, n: usize) -> Vec<T>
    where
        T: std::str::FromStr,
        T::Err: std::fmt::Debug,
    {
        (0..n).map(|_| self.read()).collect()
    }

    fn usize_read(&mut self) -> usize {
        self.read()
    }

    fn read<T>(&mut self) -> T
    where
        T: std::str::FromStr,
        T::Err: std::fmt::Debug,
    {
        let mut b = self.byte();
        while Scanner::is_space(b) {
            b = self.byte();
        }

        for pos in 0..self.small_cache.len() {
            self.small_cache[pos] = b;
            b = self.byte();
            if Scanner::is_space(b) {
                return String::from_utf8_lossy(&self.small_cache[0..(pos + 1)])
                    .parse()
                    .unwrap();
            }
        }

        let mut v = self.small_cache.clone();
        while !Scanner::is_space(b) {
            v.push(b);
            b = self.byte();
        }
        return String::from_utf8_lossy(&v).parse().unwrap();
    }
}


Measured memory_bytes: 4352