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OI-codes/S2OJ/630/630.cpp

35 lines
802 B
C++

#pragma GCC optimize(2)
#include <bits/stdc++.h>
using namespace std;
long long n, ans, x[3005], y[3005], t, l;
double b[10000005];
int main() {
std::ios::sync_with_stdio(false);
cin >> n;
ans = n * (n - 1) * (n - 2) / 6;
for (int i = 1; i <= n; i++) {
cin >> x[i] >> y[i];
t = 0;
l = 1;
for (int j = i - 1; j > 0; j--) {
b[++t] = x[i] - x[j] ? (double)(y[i] - y[j]) / (double)(x[i] - x[j]) : 0x3f3f3f3f3f3f3f3f;
}
sort(b + 1, b + 1 + t);
for (int j = 2; j <= t; j++) {
if (b[j] == b[j - 1]) {
l++;
} else {
ans -= l * (l - 1) / 2;
l = 1;
}
}
ans -= l * (l - 1) / 2;
}
cout << ans << endl;
return 0;
}