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Submission #1116633

# Submission time Handle Problem Language Result Execution time Memory
1116633 2024-11-22T02:58:14 Z pemguimn Balloons (CEOI11_bal) C++17
50 / 100
 129 ms 8504 KB 
#include <bits/stdc++.h>

using namespace std;

const int N = 2e5 + 5;

int n, x[N], r[N];

long double ans[N];

long double calc(int i, int j){
    double x1 = x[i], y1 = ans[i];
    double x2 = x[j];
    return (x1 * x1 + x2 * x2 - 2.0L * x1 * x2 ) / (4.0L * y1);
}

signed main(){
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    cin >> n;
    for(int i = 1; i <= n; i++){
        cin >> x[i] >> r[i];
        ans[i] = r[i];
    }

    stack<int> st;
    for(int i = 1; i <= n; i++){
        long double reach = r[i];
        while(st.size()){
            reach = min(reach, calc(st.top(), i));
            if(reach < ans[st.top()]) break;
            st.pop();
        }       
        ans[i] = reach;
        st.push(i);
    }

    for(int i = 1; i <= n; i++)
        cout << setprecision(3) << fixed << ans[i] << "\n";

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB 2 numbers

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2384 KB 505 numbers

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 2384 KB 2000 numbers

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 12 ms 4868 KB 20000 numbers

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 35 ms 5456 KB 10079th numbers differ - expected: '4256.0000000000', found: '4255.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 74 ms 6936 KB 14707th numbers differ - expected: '159.0020000000', found: '159.0000000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 88 ms 7496 KB 16002nd numbers differ - expected: '1629.0240000000', found: '1629.0260000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 121 ms 8504 KB 18470th numbers differ - expected: '191.9810000000', found: '191.9790000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 129 ms 8184 KB 44644th numbers differ - expected: '160.0020000000', found: '160.0000000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -