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Submission #1100288

# Submission time Handle Problem Language Result Execution time Memory
1100288 2024-10-13T12:36:59 Z michified Balloons (CEOI11_bal) C++17
20 / 100
 585 ms 6472 KB 
#include <bits/stdc++.h>
#define ll long long
#define db double
#define lid id * 2 + 1
#define rid id * 2 + 2
using namespace std;

const ll mod = 1e9 + 7;

db bestR(db x1, db r1, db x2, db r2) {
    db l = 0, r = r2 + 1;
    while (l < r - 0.001) {
        db mid = (l + r) / 2;
        if (sqrt((x2 - x1) * (x2 - x1) + abs(r1 - mid) * abs(r1 - mid)) >= r1 + mid) l = mid;
        else r = mid;
    }
    return min(r2, l);
}

int main() {
    // ifstream cin("balancing.in");
    // ofstream cout("balancing.out");

    int n, i;
    cin >> n;
    vector<db> x(n), r(n);
    for (i = 0; i < n; i++) cin >> x[i] >> r[i];
    vector<db> ans(n);
    stack<int> st;
    ans[0] = r[0];
    st.push(0);
    for (i = 1; i < n; i++) {
        db res = r[i];
        while (not st.empty()) {
            res = min(res, bestR(x[st.top()], ans[st.top()], x[i], r[i]));
            if (res > ans[st.top()]) st.pop();
            else break;
        }
        ans[i] = res;
        st.push(i);
    }
    for (i = 0; i < n; i++) cout << fixed << setprecision(3) << ans[i] << endl;
    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
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 2 ms 336 KB 209th numbers differ - expected: '5.9340000000', found: '5.9360000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #4
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 336 KB 12th numbers differ - expected: '110.0020000000', found: '110.0000000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 61 ms 848 KB 57th numbers differ - expected: '152.0000000000', found: '151.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 163 ms 1864 KB 50th numbers differ - expected: '15349.0000000000', found: '15348.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #7
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 312 ms 3548 KB 48th numbers differ - expected: '7884.0000000000', found: '7883.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #8
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 349 ms 4032 KB 154th numbers differ - expected: '4895.0000000000', found: '4894.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #9
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 481 ms 5408 KB 192nd numbers differ - expected: '1669.0000000000', found: '1668.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -

Subtask #10
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 585 ms 6472 KB 44th numbers differ - expected: '2917.0000000000', found: '2916.9980000000', error = '0.0020000000'
2 Halted 0 ms 0 KB -