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Submission #762665

# Submission time Handle Problem Language Result Execution time Memory
762665 2023-06-21T16:13:59 Z Sig0001 Balloons (CEOI11_bal) C++17
100 / 100
 128 ms 8524 KB 
#include <bits/stdc++.h>
using namespace std;

double maxRadius(int x1, int x2, double r1) {
	/**
	 * (x2 - x1)^2 + (r2 - r1)^2 = (r2 + r1)^2
	 * (x2 - x1)^2 = 4 r1 r2
	 */
	return 1LL * (x2 - x1) * (x2 - x1) / (4 * r1);
}

int main() {
	ios::sync_with_stdio(false); cin.tie(nullptr);

	int n; cin >> n;
	vector<pair<int, double>> a(n);  // [x, maxRadius]
	for (auto &[x, r]: a) cin >> x >> r;

	stack<pair<int, double>> st;  // [position, radius]
	cout << fixed << setprecision(3);

	for (int i = 0; i < n; i++) {
		auto [x2, maxR2] = a[i];
		double r2 = maxR2;
		while (not st.empty()) {
			auto [x1, r1] = st.top();
			r2 = min(r2, maxRadius(x1, x2, r1));
			if (r2 < r1) break;
			st.pop();
		}
		st.emplace(x2, r2);
		cout << r2 << '\n';
	}

	return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 212 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB 2 numbers

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 320 KB 505 numbers

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 468 KB 2000 numbers

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 1032 KB 20000 numbers

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 2428 KB 50000 numbers
2 Correct 31 ms 2376 KB 49912 numbers

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 68 ms 4244 KB 100000 numbers

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 78 ms 4940 KB 115362 numbers
2 Correct 77 ms 5264 KB 119971 numbers

Subtask #9
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 103 ms 6424 KB 154271 numbers
2 Correct 128 ms 8524 KB 200000 numbers

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 128 ms 7784 KB 200000 numbers
2 Correct 128 ms 8524 KB 199945 numbers