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 <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include <limits.h>
#include <assert.h>
#include <stack>
#include <queue>
#include <map>
#include <set>
#include <algorithm>
#include <string>
#include <functional>
#include <vector>
#include <numeric>
#include <deque>
#include <bitset>
#include <iostream>
using namespace std;
typedef long long lint;
typedef long double llf;
typedef pair<int, int> pi;
struct pnt{
int x, y, c;
}a[3005];
int n;
lint ccw(pnt a, pnt b, pnt c){
int dx1 = b.x - a.x;
int dy1 = b.y - a.y;
int dx2 = c.x - a.x;
int dy2 = c.y - a.y;
return 1ll * dx1 * dy2 - 1ll * dy1 * dx2;
}
int main(){
cin >> n;
for(int i=0; i<n; i++){
cin >> a[i].x >> a[i].y >> a[i].c;
}
lint ret = 0;
for(int i=0; i<n; i++){
int cl[3] = {}, cr[3] = {};
vector<pnt> v;
for(int j=0; j<n; j++){
if(i != j) v.push_back(a[j]);
}
sort(v.begin(), v.end(), [&](const pnt &p, const pnt &q){
return atan2(a[i].y - p.y, a[i].x - p.x) < atan2(a[i].y - q.y, a[i].x - q.x);
});
for(int i=0; i<n-1; i++){
cr[v[i].c]++;
v.push_back(v[i]);
}
int p = 0;
for(int j=0; j<n-1; j++){
while(p < n-1+j && ccw(a[i], v[j], v[p]) >= 0){
cl[v[p].c]++;
cr[v[p].c]--;
p++;
}
cl[v[j].c]--;
lint tret = 1;
for(int k=0; k<3; k++){
if(a[i].c != k) tret *= cl[k];
if(v[j].c != k) tret *= cr[k];
}
ret += tret;
cr[v[j].c]++;
}
}
cout << ret / 2;
}
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