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Submission #500988

# Submission time Handle Problem Language Result Execution time Memory
500988 2022-01-01T21:47:13 Z danielsuh Balloons (CEOI11_bal) C++17
50 / 100
 232 ms 12740 KB 
#include <bits/stdc++.h>

using namespace std;
typedef long long ll;
#define int long double

long double get_radius(int r_1, int x_1, int y_1, int x_2) {
	long double num = pow(r_1, 2LL) - pow(x_1, 2LL) + 2LL * x_1 * x_2 - pow(x_2, 2LL) - pow(y_1, 2LL);
	long double den = 2LL * (y_1 + r_1);
	return -num / den;
}

void solve() {
	cout << fixed << setprecision(10);
	int N; cin >> N;
	vector<pair<int, int>> A(N); for(auto &x : A) cin >> x.first >> x.second;
	vector<long double> ans(N);
	stack<pair<int, long double>> st;
	for(int i = 0; i < N; i++) {
		long double r = A[i].second;
		while(!st.empty()) {
			int r1 = st.top().second, x1 = st.top().first;
			long double test = get_radius(r1, x1, r1, A[i].first);
			r = min(r, test);
			if(r >= r1) {
				st.pop();
			}else {
				break;
			}
		}
		st.push({A[i].first, r});
		ans[i] = r;
	}
	for(auto &x : ans) cout << x << "\n";
}

int32_t main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);
    int T = 1;
    //cin >> T;
    for(int i = 1; i <= T; ++i) {
        solve();
    }
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 204 KB 2 numbers

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 332 KB 505 numbers

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 460 KB 2000 numbers

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 24 ms 1508 KB 20000 numbers

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 58 ms 3748 KB 26091st numbers differ - expected: '0.6430000000', found: '0.6449994163', error = '0.0019994163'
2 Halted 0 ms 0 KB -

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 121 ms 6776 KB 14857th numbers differ - expected: '7169.6020000000', found: '7169.6092910692', error = '0.0072910692'

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 141 ms 7896 KB 23610th numbers differ - expected: '1467.9600000000', found: '1467.9427840233', error = '0.0172159767'
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 189 ms 10152 KB 18635th numbers differ - expected: '3964.4000000000', found: '3964.3956867448', error = '0.0043132552'
2 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 232 ms 12740 KB 45825th numbers differ - expected: '402.4740000000', found: '402.4759291778', error = '0.0019291778'
2 Halted 0 ms 0 KB -