This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using lf = long double;
#define x first
#define y second
using Point = pair<ll, ll>;
Point operator+ (Point p, Point q) {return Point(p.x + q.x, p.y + q.y);}
Point operator- (Point p, Point q) {return Point(p.x - q.x, p.y - q.y);}
ll operator* (Point p, Point q) {return p.x * q.x + p.y * q.y;}
ll operator/ (Point p, Point q) {return p.x * q.y - q.x * p.y;}
ll CCW(Point p, Point q, Point r) {return (q - p) / (r - q);}
ll N;
Point A[3005];
ll T[3005];
ll ans = 0;
const lf PI = acos(-1);
void add(vector<ll> &X, vector<ll> &Y, ll i, ll j){
ll pxi = X[i], pyj = Y[j];
X[i] = Y[j] = 1;
ans += X[0] * X[1] * X[2] * Y[0] * Y[1] * Y[2];
X[i] = pxi, Y[j] = pyj;
ll pxj = X[j], pyi = Y[i];
X[j] = Y[i] = 1;
ans += X[0] * X[1] * X[2] * Y[0] * Y[1] * Y[2];
X[j] = pxj, Y[i] = pyi;
}
int main(){
cin.tie(0) -> sync_with_stdio(false);
cin >> N;
for(int i = 0; i < N; i++){
cin >> A[i].x >> A[i].y;
cin >> T[i];
}
for(int i = 0; i < N; i++){
swap(A[0], A[i]);
swap(T[0], T[i]);
vector<ll> V;
for(int j = 1; j < N; j++){
V.push_back(j);
}
sort(V.begin(), V.end(), [&](ll a, ll b) -> bool{
Point P1 = A[a] - A[0], P2 = A[b] - A[0];
lf A1 = atan2(P1.y, P1.x), A2 = atan2(P2.y, P2.x);
if(A1 < 0) A1 += PI;
if(A2 < 0) A2 += PI;
if(A1 >= PI) A1 -= PI;
if(A2 >= PI) A2 -= PI;
return A1 < A2;
});
//for(auto i : V) cout <<">> "<< A[i].x << ' ' << A[i].y << '\n';
// test_code
for(auto j : V){
vector<ll> X(3), Y(3);
for(int k = 1; k < N; k++){
if(k == j) continue;
ll C = CCW(A[0], A[j], A[k]);
if(C > 0){
X[T[k]]++;
} else {
Y[T[k]]++;
}
}
//cout<<X[0]<<' '<<X[1]<<' '<<X[2]<<' '<<Y[0]<<' '<<Y[1]<<' '<<Y[2]<<'\n';
add(X, Y, T[0], T[j]);
}
}
cout << ans / 4;
}
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