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Submission #1116615

# Submission time Handle Problem Language Result Execution time Memory
1116615 2024-11-22T02:17:29 Z pemguimn Balloons (CEOI11_bal) C++14
10 / 100
 1301 ms 9296 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];
        if(st.size()) reach = min(reach, calc(st.top(), i));
        ans[i] = reach;

        while(st.size() && calc(st.top(), i + 1) > calc(i, i + 1)) st.pop();
        st.push(i);
    }
    while(st.size()){
        ans[n] = min(ans[n], calc(st.top(), n));
        st.pop();
    }

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

    return 0;
}

Subtask #1
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 336 KB 5th numbers differ - expected: '17.1630000000', found: '99.0000000000', error = '81.8370000000'
2 Halted 0 ms 0 KB -

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 504 KB 2 numbers

Subtask #3
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 5 ms 336 KB 3rd numbers differ - expected: '0.0420000000', found: '3.0000000000', error = '2.9580000000'
2 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 13 ms 336 KB 114th numbers differ - expected: '39.0180000000', found: '56.0000000000', error = '16.9820000000'
2 Halted 0 ms 0 KB -

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 125 ms 1360 KB 196th numbers differ - expected: '100.7250000000', found: '111.0000000000', error = '10.2750000000'
2 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 345 ms 2616 KB 13945th numbers differ - expected: '0.0140000000', found: '7.0000000000', error = '6.9860000000'
2 Halted 0 ms 0 KB -

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 628 ms 5036 KB 7236th numbers differ - expected: '0.0070000000', found: '7.0000000000', error = '6.9930000000'
2 Halted 0 ms 0 KB -

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 724 ms 5640 KB 4645th numbers differ - expected: '0.0260000000', found: '8.0000000000', error = '7.9740000000'
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 956 ms 7644 KB 1730th numbers differ - expected: '5.6890000000', found: '6.8060000000', error = '1.1170000000'
2 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 1301 ms 9296 KB 2716th numbers differ - expected: '22.1690000000', found: '43.0000000000', error = '20.8310000000'
2 Halted 0 ms 0 KB -