Submission #538551

# Submission time Handle Problem Language Result Execution time Memory
538551 2022-03-17T04:45:47 Z hmm789 Planine (COCI21_planine) C++14
110 / 110
282 ms 35172 KB
#include <bits/stdc++.h>
using namespace std;
#define int long long 
#define double long double

const double EPS = 1e-9;
int n, h;

struct point {
	int x, y;
};

struct hull {
	deque<point> dq;
	int dir;
	int getdir(point a, point b, point c) {
		int tmp = a.x*(b.y-c.y) + b.x*(c.y-a.y) + c.x*(a.y-b.y);
		if(tmp > 0) return 0;
		else if(tmp < 0) return 1;
		else return 2;
	}
	void insert(point x) {
		while(dq.size() > 1) {
			int s = dq.size();
			if(getdir(dq[s-2], dq[s-1], x) != dir) dq.pop_back();
			else break;
		}
		dq.push_back(x);
	}
	double query(point x) {
		while(dq.size() > 1) {
			int s = dq.size();
			if(getdir(dq[s-2], dq[s-1], x) != dir) dq.pop_back();
			else break;
		}
		point a = dq.back();
		return (h-x.y)*1.0*(a.x-x.x)/(a.y-x.y)+x.x;
	}
};

int32_t main() {
	ios_base::sync_with_stdio(0);
	cin.tie(0); cout.tie(0);
	int ans = 0, idx;
  	double last = -1e18;
	cin >> n >> h;
	point pt[n];
	pair<double, double> pos[n/2-1];
	idx = n/2-2;
	for(int i = 0; i < n; i++) cin >> pt[i].x >> pt[i].y;
	hull left, right;
	left.dir = 0, right.dir = 1;
	for(int i = n-2; i >= 3; i -= 2) {
		left.insert(pt[i]);
		pos[idx].first = left.query(pt[i-1]);
		idx--;
	}
	idx = 0;
	for(int i = 1; i < n-2; i += 2) {
		right.insert(pt[i]);
		pos[idx].second = right.query(pt[i+1]);
		idx++;
	}
	sort(pos, pos+n/2-1);
	for(int i = 0; i < n/2-1; i++) {
		if(pos[i].second > last+EPS) {
			ans++;
			last = pos[i].first;
		}
	}
	cout << ans;
}
# Verdict Execution time Memory Grader output
1 Correct 3 ms 720 KB Output is correct
2 Correct 3 ms 752 KB Output is correct
3 Correct 3 ms 724 KB Output is correct
4 Correct 20 ms 4436 KB Output is correct
5 Correct 23 ms 4648 KB Output is correct
6 Correct 25 ms 4792 KB Output is correct
7 Correct 202 ms 34448 KB Output is correct
8 Correct 225 ms 34360 KB Output is correct
9 Correct 237 ms 34184 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 340 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 340 KB Output is correct
5 Correct 1 ms 324 KB Output is correct
6 Correct 1 ms 340 KB Output is correct
7 Correct 1 ms 320 KB Output is correct
# Verdict Execution time Memory Grader output
1 Correct 3 ms 720 KB Output is correct
2 Correct 3 ms 752 KB Output is correct
3 Correct 3 ms 724 KB Output is correct
4 Correct 20 ms 4436 KB Output is correct
5 Correct 23 ms 4648 KB Output is correct
6 Correct 25 ms 4792 KB Output is correct
7 Correct 202 ms 34448 KB Output is correct
8 Correct 225 ms 34360 KB Output is correct
9 Correct 237 ms 34184 KB Output is correct
10 Correct 1 ms 340 KB Output is correct
11 Correct 1 ms 340 KB Output is correct
12 Correct 1 ms 324 KB Output is correct
13 Correct 1 ms 340 KB Output is correct
14 Correct 1 ms 324 KB Output is correct
15 Correct 1 ms 340 KB Output is correct
16 Correct 1 ms 320 KB Output is correct
17 Correct 215 ms 35108 KB Output is correct
18 Correct 227 ms 35172 KB Output is correct
19 Correct 23 ms 4644 KB Output is correct
20 Correct 240 ms 34356 KB Output is correct
21 Correct 24 ms 4440 KB Output is correct
22 Correct 227 ms 34296 KB Output is correct
23 Correct 1 ms 324 KB Output is correct
24 Correct 229 ms 34268 KB Output is correct
25 Correct 23 ms 4564 KB Output is correct
26 Correct 282 ms 34480 KB Output is correct
27 Correct 12 ms 2376 KB Output is correct