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Submission #1023555

# Submission time Handle Problem Language Result Execution time Memory
1023555 2024-07-15T02:23:43 Z vjudge1 Wish (LMIO19_noras) C++17
0 / 100
 1 ms 512 KB 
#include <bits/stdc++.h>
using namespace std;

const double eps = 1e-13;

void solve() {
	int n; long long r;
	cin >> n >> r;
	vector<long long> a(n), b(n), c(n), d(n);
	for (int i=0; i<n; i++) cin >> a[i] >> b[i] >> c[i] >> d[i];

	vector<pair<double, bool>> evs;
	for (int i=0; i<n; i++) {
		// p(t) = (a[i] + t * dx, b[i] + t * dy)
		// cari t sehingga (a[i] + t * dx)^2 + (b[i] + t * dy)^2 = r^2
		// => a[i]^2 + t^2*dx^2 + 2*t*a[i]*dx + b[i]^2 + t^2*dy^2 + 2*t*b[i]*dy = r^2
		// => t^2 * (dx^2 + dy^2) + t * (2*a[i]*dx + 2*b[i]*dy) + a[i]^2 + b[i]^2 - r^2 = 0
		// => t^2 * A + t * B + C = 0
		// pakai rumus akar persamaan kuadrat?

		long long dx = c[i] - a[i], dy = d[i] - b[i];
		long long A = dx * dx + dy * dy, B = 2 * (a[i] * dx + b[i] * dy), C = a[i] * a[i] + b[i] * b[i] - r * r;
		long long D = B * B - 4 * A * C;
		if (D >= 0) {
			double sd = sqrt(D);
			double t1 = (-B + sd) / (2 * A);
			double t2 = (-B - sd) / (2 * A);
			evs.emplace_back(min(t1, t2), 0);
			evs.emplace_back(max(t1, t2), 1);

			// cout << i << ' ' << min(t1, t2) << ' ' << max(t1, t2) << '\n';
		}
	}

	sort(evs.begin(), evs.end());
	int ans = 0, cnt = 0;
	for (int i=0; i<(int)evs.size(); i++) {
		auto &[t, rem] = evs[i];
		if (t < -eps) continue;

		// cout << t << ' ';
		// cout << floor(t) << ' ' << ceil(evs[i-1].first) << '\n';
		if (floor(t) >= ceil(evs[i-1].first)) ans = max(ans, cnt);

		if (rem) {
			cnt--;
		} else {
			cnt++;
		}
	}
	// cout << '\n';

	cout << ans << '\n';
}

int main() {
	ios_base::sync_with_stdio(0); cin.tie(0);
	int tcs = 1;
	// cin >> tcs;
	while (tcs--) {
		solve();
	}
	return 0;
}

Subtask #1
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 1 ms 512 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #2
0 / 23.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 1 ms 512 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #3
0 / 15.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 1 ms 512 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #4
0 / 32.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 1 ms 512 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #5
0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 344 KB Output is correct
2 Correct 1 ms 348 KB Output is correct
3 Incorrect 1 ms 512 KB Output isn't correct
4 Halted 0 ms 0 KB -