#include<bits/stdc++.h>
#define int long long
#define ii pair<int,int>
#define double long double
#define dd pair<double, double>
#define fi first
#define se second
#define task ""
using namespace std;
const int N = 1e6 + 5, oo = 1e18;
#define EPS 0.00001
struct point2d{
double x, y;
point2d() {}
point2d(double x, double y): x(x), y(y) {}
point2d operator + (point2d t){
return point2d(x + t.x, y + t.y);
}
point2d operator - (point2d t){
return point2d(x - t.x, y - t.y);
}
};
struct line2d{
double a, b, c;
line2d(double a, double b, double c): a(a), b(b), c(c) {}
line2d(point2d &u, point2d &v) : a(u.y - v.y), b(v.x - u.x), c(u.x * v.y - v.x * u.y) {};
};
double cross(point2d a, point2d b){ //tich co huong
return a.x * b.y - a.y * b.x;
}
double dot(point2d a, point2d b){ // tich vo huong
return a.x * b.x + a.y * b.y;
}
double len(point2d a, point2d b){ // do dai
return sqrt((a.x - b.x)*(a.x - b.x) + (a.y - b.y)*(a.y - b.y));
}
double abs(point2d a) {
return sqrt(a.x * a.x + a.y * a.y);
}
double angle(point2d a, point2d b){ // goc giua 2 vector
return acos(dot(a, b) / abs(a) / abs(b));
}
point2d get_intersect(line2d x, line2d y) {
double d = x.a * y.b - x.b * y.a;
//Neu d == 0: 2 duong song song hoac trung nhau
point2d t;
t.x = (x.b * y.c - y.b * x.c) / d;
t.y = (y.a * x.c - x.a * y.c) / d;
return t;
}
double triangle_area(point2d a, point2d b, point2d c){ // dt tam giac
point2d v = a - b;
point2d u = c - b;
return abs(cross(v, u)) / 2;
}
double dis(point2d p, line2d d){ // kc 1 diem -> 1 duong thang
return abs((d.a * p.x + d.b * p.y + d.c)/sqrt(d.a*d.a + d.b*d.b));
}
int ccw(point2d a, point2d b, point2d c) {
double t = cross(b - a, c - b);
if (abs(t) < EPS) return 0;
if (t < 0) return -1;
else return 1;
}
int n;
double h;
point2d a[N];
dd b[N];
main(){
ios_base::sync_with_stdio(0); cin.tie(0); cout.tie(0);
if(fopen(task ".inp", "r")){
freopen(task ".inp", "r", stdin);
freopen(task ".out", "w", stdout);
}
cin >> n >> h;
for(int i = 1; i <= n; i++)
{
cin >> a[i].x >> a[i].y;
}
line2d tmp(0, 1, -h);
int m = 0;
vector<int> v;
v.push_back(1);
v.push_back(2);
for(int i = 3; i < n; i += 2)
{
while(v.size() >= 2 && ccw(a[v[v.size() - 2]], a[v[v.size() - 1]], a[i]) >= 0)
{
v.pop_back();
}
v.push_back(i);
if(i % 2 == 1)
{
point2d x = get_intersect(line2d(a[i], a[v.size() - 2]), tmp);
b[++m].fi = x.x;
}
// cout << b[m].fi << ' ' << b[m].se << '\n';
}
int j = m;
v.clear();
v.push_back(n);
v.push_back(n - 1);
for(int i = n - 2; i >= 3; i--)
{
while(v.size() >= 2 && ccw(a[v[v.size() - 2]], a[v[v.size() - 1]], a[i]) <= 0)
{
v.pop_back();
}
v.push_back(i);
if(i % 2 == 1)
{
point2d x = get_intersect(line2d(a[i], a[v.size() - 2]), tmp);
b[j--].se = x.x;
}
}
sort(b + 1, b + 1 + m, [](dd x, dd y)
{
return (x.se < y.se) || (x.se == y.se && x.fi < y.fi);
});
double last_pos = -1e18;
int ans = 0;
for(int i = 1; i <= m; i++)
{
if(b[i].fi - EPS > last_pos)
{
ans++;
last_pos = b[i].se;
}
}
cout << ans;
}
Compilation message (stderr)
Main.cpp:75:1: warning: ISO C++ forbids declaration of 'main' with no type [-Wreturn-type]
75 | main(){
| ^~~~
Main.cpp: In function 'int main()':
Main.cpp:78:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
78 | freopen(task ".inp", "r", stdin);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~
Main.cpp:79:16: warning: ignoring return value of 'FILE* freopen(const char*, const char*, FILE*)' declared with attribute 'warn_unused_result' [-Wunused-result]
79 | freopen(task ".out", "w", stdout);
| ~~~~~~~^~~~~~~~~~~~~~~~~~~~~~~~~~
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