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"
template <class T>
using Vec = std::vector<T>;
using ll = long long;
int main() {
const int N = get_n();
Vec<int> upper, lower;
for (int i = 3; i <= N; ++i) {
(is_clockwise(1, 2, i) ? lower : upper).push_back(i);
}
std::sort(upper.begin(), upper.end(), [&](const int i, const int j) {
return !is_clockwise(1, i, j);
});
std::sort(lower.begin(), lower.end(), [&](const int i, const int j) {
return !is_clockwise(1, i, j);
});
Vec<bool> is_upper(N);
for (const auto x: upper) {
is_upper[x] = true;
}
Vec<int> order;
const auto add =[&](const int i) {
while (order.size() >= 2 and is_clockwise(order[order.size() - 2], order[order.size() - 1], i)) {
order.pop_back();
}
order.push_back(i);
};
if (upper.empty()) {
add(1);
for (const auto x: lower) {
add(x);
}
add(2);
give_answer(order.size());
return 0;
}
if (lower.empty()) {
add(1);
add(2);
for (const auto x: upper) {
add(x);
}
give_answer(order.size());
return 0;
}
add(1);
add(2);
for (const auto x: upper) {
add(x);
}
order.erase(order.begin());
add(1);
for (const auto x: lower) {
add(x);
}
int idx = (int) order.size() - 1;
while (!is_upper[order[idx]]) {
idx -= 1;
}
Vec<int> next;
for (int i = idx + 2; i < (int) order.size(); ++i) {
next.push_back(order[i]);
}
for (int i = 0; i < idx; ++i) {
next.push_back(order[i]);
}
const auto p = order[idx];
const auto q = order[idx + 1];
order.clear();
add(p);
add(q);
for (const auto x: next) {
add(x);
}
give_answer((int) order.size());
return 0;
}
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