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Submission #1116618

# Submission time Handle Problem Language Result Execution time Memory
1116618 2024-11-22T02:22:05 Z pemguimn Balloons (CEOI11_bal) C++14
30 / 100
 2000 ms 4936 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){
    long double lo = 0, hi = r[j];
    long double dx = abs(x[j] - x[i]);
    for(int t = 0; t < 100; t++){
        long double mid = (lo + hi) / 2;
        long double dy = abs(mid - ans[i]);
        if(dx * dx + dy * dy >= (mid + ans[i]) * (mid + ans[i])){
            lo = mid;
        } else{
            hi = mid;   
        }
    }
    return lo;
}
 
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];
        for(int j = 1; j < i; j++){
          reach = min(reach, calc(j, i));
        }
        ans[i] = reach;
    }
 
 
    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 336 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 336 KB 2 numbers

Subtask #3
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 217 ms 336 KB 505 numbers

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2056 ms 336 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2072 ms 1104 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2050 ms 1616 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2040 ms 2640 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2056 ms 3040 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2053 ms 3920 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2037 ms 4936 KB Time limit exceeded
2 Halted 0 ms 0 KB -