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Submission #772105

# Submission time Handle Problem Language Result Execution time Memory
772105 2023-07-03T16:11:50 Z NK_ Balloons (CEOI11_bal) C++17
100 / 100
 141 ms 6932 KB 
// Success consists of going from failure to failure without loss of enthusiasm
#include <bits/stdc++.h>

using namespace std;

#define nl '\n'

using ld = long double;

const ld eps = 1e-9;

int main() {
	cin.tie(0)->sync_with_stdio(0);
	
	cout << fixed << setprecision(10);
	int N; cin >> N;

	vector<pair<int, ld>> A;

	for(int i = 0; i < N; i++) {
		int x, r; cin >> x >> r;

		ld ans = r;
		while(size(A)) {
			ld D = ld(x - A.back().first) * ld(x - A.back().first);
			ld R = min(ld(r), D / (4 * A.back().second));
			if ((ans - R) > 0) ans = R;
			// cout << ans - R << " - " << x << endl;

			if (ans+eps > A.back().second) A.pop_back();
			else break;
		}

		cout << ans << nl;

		A.push_back({x, ans});
	}

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 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 212 KB 505 numbers

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB 2000 numbers

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 568 KB 20000 numbers

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 36 ms 1512 KB 50000 numbers
2 Correct 32 ms 1992 KB 49912 numbers

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 73 ms 2276 KB 100000 numbers

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 105 ms 2500 KB 115362 numbers
2 Correct 73 ms 4236 KB 119971 numbers

Subtask #9
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 3048 KB 154271 numbers
2 Correct 123 ms 6932 KB 200000 numbers

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 141 ms 3420 KB 200000 numbers
2 Correct 122 ms 6860 KB 199945 numbers