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Submission #1116642

# Submission time Handle Problem Language Result Execution time Memory
1116642 2024-11-22T03:13:06 Z pemguimn Balloons (CEOI11_bal) C++14
100 / 100
 98 ms 12356 KB 
#pragma GCC optimize("O3")

#include <bits/stdc++.h>

using namespace std;

const int N = 2e6 + 5;

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

long double ans[N];

inline long double calc(int i, int j){
    long double x1 = x[i], y1 = ans[i];
    long 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++){
        while(st.size()){
            ans[i] = min(ans[i], calc(st.top(), i));
            if(ans[i] < ans[st.top()]) break;
            st.pop();
        }
        if(ans[i] > 0.0L) 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 4432 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 4600 KB 2 numbers

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4432 KB 505 numbers

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 4432 KB 2000 numbers

Subtask #5
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 8908 KB 20000 numbers

Subtask #6
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 9116 KB 50000 numbers
2 Correct 23 ms 9156 KB 49912 numbers

Subtask #7
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 52 ms 9552 KB 100000 numbers

Subtask #8
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 67 ms 9868 KB 115362 numbers
2 Correct 57 ms 9348 KB 119971 numbers

Subtask #9
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 81 ms 12264 KB 154271 numbers
2 Correct 93 ms 12112 KB 200000 numbers

Subtask #10
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 98 ms 12356 KB 200000 numbers
2 Correct 84 ms 11936 KB 199945 numbers