More problems.

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2026-03-26 17:41:55 -03:00
parent bd81722bb0
commit 9243e7ea0c
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/* Problem URL: https://codeforces.com/gym/101845/problem/D */
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
template <class T, class comp = less<>>
using ordered_set = tree<T, null_type , comp , rb_tree_tag , tree_order_statistics_node_update>;
#define V vector
#define rmin(a, b) a = min(a, b)
#define rmax(a, b) a = max(a, b)
#define rep(i, lim) for (int i = 0; i < (lim); i++)
#define nrep(i, s, lim) for (int i = s; i < (lim); i++)
#define repv(i, v) for (auto &i : (v))
#define fillv(v) for (auto &itr_ : (v)) { cin >> itr_; }
#define sortv(v) sort(v.begin(), v.end())
#define all(v) (v).begin(), (v).end()
using vi = vector<int>;
using vvi = vector<vi>;
using vvvi = vector<vvi>;
using vvvvi = vector<vvvi>;
using ll = long long;
using vl = vector<ll>;
using vvl = vector<vl>;
using vvvl = vector<vvl>;
using vvvvl = vector<vvvl>;
template<class v>
auto operator<<(ostream &os, const vector<v> &vec)->ostream& {
os << vec[0];
for (size_t i = 1; i < vec.size(); i++) {
os << ' ' << vec[i];
}
os << '\n';
return os;
}
template<class v>
auto operator>>(istream &is, vector<v> &vec)->istream& {
for (auto &i : vec) {
is >> i;
}
return is;
}
template<class v>
auto operator<<(ostream &os, const vector<vector<v>> &vec)->ostream& {
for (auto &i : vec) {
os << i[0];
for (size_t j = 1; j < i.size(); j++) {
os << ' ' << i[j];
}
os << '\n';
}
return os;
}
template<class v>
auto operator>>(istream &is, vector<vector<v>> &vec)->istream& {
for (auto &i : vec) {
for (auto &j : i) {
is >> j;
}
}
return is;
}
const int oo = INT32_MAX >> 1;
const ll OO = INT64_MAX >> 1;
struct pt {
ll x, y;
pt() = default;
pt(ll x, ll y): x(x), y(y) {}
friend istream &operator >> (istream &is, pt &a) {
is >> a.x >> a.y;
return is;
}
ll operator * (pt b) {
return x * b.x + y * b.y;
}
ll operator ^ (pt b) {
return x * b.y - y * b.x;
}
pt operator - (pt b) {
return pt(x - b.x, y - b.y);
}
};
ll sarea2(pt a, pt b, pt c)
{
return (b - a) ^ (c - a);
}
int ccw(pt a, pt b, pt c)
{
ll r = sarea2(a, b, c);
return (r > 0) - (r < 0);
}
void pre()
{
}
#define TEST 0
void solve()
{
int n, m;
cin >> n >> m;
V<pt> pol(n);
cin >> pol;
vl pref(n * 3);
nrep(i, 1, n * 3) {
pref[i] = pref[i - 1] + sarea2(pt(0, 0), pol[(i - 1) % n], pol[i % n]);
}
ll ans = 0;
while (m--) {
int l, r;
cin >> l >> r;
l--, r--;
if (l > r) {
swap(l, r);
}
if ((l + 1) % n == r) {
continue;
}
int l2 = r;
int r2 = l + n;
ll ar1 = abs(sarea2(pt(0, 0), pol[r], pol[l]) + pref[r] - pref[l]);
ll ar2 = abs(pref[r2] - pref[l2] + sarea2(pt(0, 0), pol[r2 % n], pol[l2 % n]));
rmax(ans, min(ar1, ar2));
}
cout << ans / 2.0 << '\n';
}
int main()
{
ios::sync_with_stdio(false);
cin.tie(nullptr);
pre();
int t;
(TEST && cin >> t) || (t = 1);
while (t--) {
solve();
}
}