Language: C++

#include <iostream>
#include <vector>
#include <algorithm>
using namespace std;

const long double EPS = 1e-9;

struct Line {
	long double x, y;
};
bool operator< (const Line &a1, const Line &a2) {
	if (fabs(a1.x - a2.x) > EPS && a1.x < a2.x) return true; if (fabs(a1.x - a2.x) > EPS && a1.x > a2.x) return false;
	if (fabs(a1.y - a2.y) > EPS && a1.y < a2.y) return true; if (fabs(a1.y - a2.y) > EPS && a1.y > a2.y) return false;
	return false;
}
bool operator== (const Line &a1, const Line &a2) {
	if (fabs(a1.x - a2.x) < EPS && fabs(a1.y - a2.y) < EPS) return true;
	return false;
}

long long n, x[209], y[209], power[209], mod = 998244353; vector<Line> vec;

long long calc(long long n) {
	return (power[n] - (n*(n - 1) / 2) - n - 1 + mod) % mod;
}

int main() {
	cin >> n;
	power[0] = 1; for (int i = 1; i <= 208; i++) power[i] = (power[i - 1] * 2) % mod;
	for (int i = 0; i < n; i++) cin >> x[i] >> y[i];
	for (int i = 0; i < n; i++) {
		for (int j = i + 1; j < n; j++) {
			int X = (x[j] - x[i]), Y = (y[j] - y[i]); if (X < 0) { X *= -1; Y *= -1; }
			if (X == 0) { vec.push_back(Line{ 1.0L*x[j], 100000.0L }); }
			else {
				long double D = 1.0L*Y / X;
				long double E = 1.0L*y[i] - D*x[i];
				vec.push_back(Line{ E,D });
			}
		}
	}
	sort(vec.begin(), vec.end());
	int cx = 0; long long U = 0;
	while (cx < vec.size()) {
		int pos1 = upper_bound(vec.begin(), vec.end(), vec[cx]) - vec.begin();
		int V = pos1 - cx, VV = 0;
		for (int i = 2; i <= 200; i++) {
			if (V == i*(i - 1) / 2)VV = i;
		}
		U += calc(VV); U += mod; U %= mod;
		cx = pos1;
	}
	long long ans = calc(n);
	ans = (ans - U + mod) % mod;
	cout << ans << endl;
	return 0;
}

Compiler output:
a.cc: In function 'bool operator<(const Line&, const Line&)':
a.cc:12:13: error: 'fabs' was not declared in this scope; did you mean 'labs'?
   12 |         if (fabs(a1.x - a2.x) > EPS && a1.x < a2.x) return true; if (fabs(a1.x - a2.x) > EPS && a1.x > a2.x) return false;
      |             ^~~~
      |             labs
a.cc:12:70: error: 'fabs' was not declared in this scope; did you mean 'labs'?
   12 |         if (fabs(a1.x - a2.x) > EPS && a1.x < a2.x) return true; if (fabs(a1.x - a2.x) > EPS && a1.x > a2.x) return false;
      |                                                                      ^~~~
      |                                                                      labs
a.cc:13:13: error: 'fabs' was not declared in this scope; did you mean 'labs'?
   13 |         if (fabs(a1.y - a2.y) > EPS && a1.y < a2.y) return true; if (fabs(a1.y - a2.y) > EPS && a1.y > a2.y) return false;
      |             ^~~~
      |             labs
a.cc:13:70: error: 'fabs' was not declared in this scope; did you mean 'labs'?
   13 |         if (fabs(a1.y - a2.y) > EPS && a1.y < a2.y) return true; if (fabs(a1.y - a2.y) > EPS && a1.y > a2.y) return false;
      |                                                                      ^~~~
      |                                                                      labs
a.cc: In function 'bool operator==(const Line&, const Line&)':
a.cc:17:13: error: 'fabs' was not declared in this scope; did you mean 'labs'?
   17 |         if (fabs(a1.x - a2.x) < EPS && fabs(a1.y - a2.y) < EPS) return true;
      |             ^~~~
      |             labs