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>
#include "trilib.h"
using namespace std;
#define ll long long
#define all(aaa) aaa.begin(), aaa.end()
vector<int> build_hull(vector<int> v, bool inv) {
sort(v.begin() + 1, v.end(), [=](int x, int y) {
return is_clockwise(v[0], x, y) ^ inv;
});
return v;
}
const int N = 1e5;
bool ban[N];
signed main() {
#ifdef HOME
freopen("input.txt", "r", stdin);
freopen("output.txt", "w", stdout);
#endif
ios_base::sync_with_stdio(0);
cin.tie(0);
int n = get_n();
vector<int> v1 = { 1 }, v2 = { 1 };
for (int i = 3; i <= n; i++) {
if (is_clockwise(1, 2, i)) {
v2.push_back(i);
}
else {
v1.push_back(i);
}
}
v1.push_back(2);
v2.push_back(2);
v1 = build_hull(v1, 0);
v2 = build_hull(v2, 1);
v2.erase(v2.begin());
v2.pop_back();
reverse(all(v1));
for (int x : v2) {
while (v1.size() > 1 && is_clockwise(*(v1.end() - 2), *(v1.end() - 1), x)) {
ban[v1.back()] = 1;
v1.pop_back();
}
v1.push_back(x);
}
reverse(all(v1));
reverse(all(v2));
for (int x : v2) {
while (v1.size() > 1 && !is_clockwise(*(v1.end() - 2), *(v1.end() - 1), x)) {
ban[v1.back()] = 1;
v1.pop_back();
}
v1.push_back(x);
}
sort(all(v1));
v1.erase(unique(all(v1)), v1.end());
int ans = 0;
for (int i : v1) {
if (!ban[i])
ans++;
}
cout << ans;
return 0;
}
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