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>
#define int long long
#define fastio ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
using namespace std;
typedef pair<int,int> point;
#define x first
#define y second
int operator^(point a, point b){
return a.x*b.y-a.y*b.x;
}
int operator*(point a, point b){
return a.x*b.x+a.y*b.y;
}
point operator-(point a, point b){
return {a.x-b.x,a.y-b.y};
}
point operator+(point a, point b){
return {a.x+b.x,a.y+b.y};
}
int ori(point a, point b, point c){
int tmp = (b-a)^(c-a);
if(tmp == 0) return 0;
return abs(tmp)/tmp;
}
int intersect(point a, point b, point c, point d){
int abc = ori(a,b,c);
int abd = ori(a,b,d);
int cda = ori(c,d,a);
int cdb = ori(c,d,b);
if(abc*abd < 0 && cda*cdb < 0) return true;
else return false;
}
signed main(){
fastio
int n;
cin >> n;
vector<point> arr;
for(int i = 0;i < n;i++){
int a,b;
cin >> a >> b;
arr.push_back({a,b});
}
int ans = 0;
vector<pair<point,point>> tr;
for(int a = 0; a < n; a++){
for(int b = a+1; b < n; b++){
for(auto [c,d] : tr){
if(intersect(arr[a],arr[b],c,d)){
goto nxt;
}
}
tr.push_back({arr[a],arr[b]});
for(int c = 0;c < n;c++){
for(int d = c+1; d < n;d++){
if(intersect(arr[a],arr[b],arr[c],arr[d])){
goto nxt;
}
}
}
ans++;
nxt:;
}
}
cout << ans << "\n";
}
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