Pagini recente » Istoria paginii utilizator/nistor_dora_valentina | Cod sursa (job #36751) | Monitorul de evaluare | Cod sursa (job #200806) | Cod sursa (job #2290868)
#include <bits/stdc++.h>
using namespace std;
ifstream in("popandai.in");
ofstream out("popandai.out");
const int MAXN = 300;
typedef long double ld;
int n, k;
struct Point {
long long int x, y;
bool operator<(const Point &a) {
return x < a.x;
}
Point (long long int _x = 0, long long int _y = 0) {
x = _x;
y = _y;
}
} p[MAXN + 1];
int under[MAXN + 1][MAXN + 1];
ld dp[MAXN + 2];
ld ans = 2e9;
struct Elem {
int point, in;
ld arie;
bool operator<(const Elem &a) {
return in < a.in;
}
Elem (ld _arie = 0.0, int _point = 0, int _in = 0) {
arie = _arie;
point = _point;
in = _in;
}
};
long long int det(Point a, Point b, Point c) {
return a.x * b.y + b.x * c.y + c.x * a.y - a.x * c.y - b.x * a.y - c.x * b.y;
}
int main() {
in >> n >> k;
vector<Elem> st, dr;
for (int i = 1; i <= n; ++ i) in >> p[i].x >> p[i].y;
sort(p + 1, p + n + 1);
for (int i = 1; i <= n; ++ i)
for (int j = i + 1; j <= n; ++ j)
for (int k = j + 1; k <= n; ++ k)
if (det(p[i], p[j], p[k]) > 0)
++ under[i][k], ++ under[k][i];
for (int i = 1; i <= n; ++ i) {
for (int j = i + 1; j <= n; ++ j) {
st.clear();
dr.clear();
for (int k = 1; k <= n; ++ k) {
if (k != i && k != j) {
Elem cur;
cur.point = k;
cur.arie = ld(abs(det(p[i], p[j], p[k]))) / 2.0;
if (det(p[i], p[j], p[k]) > 0) {
if (k < i) cur.in = under[k][j] - under[k][i] - under[i][j];
else if (i < k && k < j) cur.in = under[k][i] + under[k][j] - under[i][j];
else if (j < k) cur.in = under[i][k] - under[j][k] - under[i][j];
if (p[i].x == p[k].x || p[j].x == p[k].x) -- cur.in;
st.push_back(cur);
} else {
if (k < i) cur.in = under[k][i] + under[i][j] - under[j][k];
else if (i < k && k < j) cur.in = under[i][j] - under[i][k] - under[j][k];
else if (j < k) cur.in = under[i][j] + under[j][k] - under[k][i];
if (p[i].x == p[k].x || p[j].x == p[k].x) -- cur.in;
dr.push_back(cur);
}
}
}
sort(st.begin(), st.end());
for (int i = 0; i <= n + 1; ++ i) dp[i] = 2e9;
for (auto &x : dr) dp[x.in] = min(dp[x.in], x.arie);
for (int i = n; i >= 0; -- i) dp[i] = min(dp[i], dp[i + 1]);
for (auto &x : st) ans = min(ans, x.arie + dp[max(k - x.in, 0)]);
}
}
out << fixed << setprecision(1) << ans;
return 0;
}