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Submission #988824

# Submission time Handle Problem Language Result Execution time Memory
988824 2024-05-26T12:03:31 Z _callmelucian Balloons (CEOI11_bal) C++14
30 / 100
 2000 ms 8272 KB 
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<ll,ll> pl;
typedef pair<ld,ld> pld;
typedef pair<int,int> pii;
typedef tuple<int,int,int> tt;

#define all(a) a.begin(), a.end()
#define filter(a) a.erase(unique(all(a)), a.end())

const ld INF = 1e18;
const ld eps = 1e-9;
const int mn = 2e5 + 5;

ll x[mn], maxR[mn];
ld rad[mn];

bool ok (int j, int i, ld tryR) {
    ld tmp = (x[i] - x[j]) * (x[i] - x[j]);
    return tmp - 4 * rad[j] * tryR >= -eps;
}

ld calc (int j, int i, ld L = 0, ld R = INF) {
    if (abs(L - R) < eps) return L;
    ld mid = (L + R) / 2;
    if (ok(j, i, mid + eps)) return calc(j, i, mid + eps, R);
    return calc(j, i, L, mid);
}

int main()
{
    ios::sync_with_stdio(0);
    cin.tie(0);

    int n; cin >> n;
    for (int i = 1; i <= n; i++)
        cin >> x[i] >> maxR[i];
    rad[1] = maxR[1];

    cout << fixed << setprecision(9) << rad[1] << "\n";

    vector<int> vec = {1};
    for (int i = 2; i <= n; i++) {
        rad[i] = INF;
        for (int j = vec.size() - 1; j >= 0; j--) {
            ld cur = calc(vec[j], i, 0, maxR[i]);
            if (cur < rad[i] + eps) rad[i] = cur;
            else break;
        }
        while (vec.size() && rad[vec.back()] < rad[i]) vec.pop_back();
        vec.push_back(i);

        cout << rad[i] << "\n";
    }

    return 0;
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB 10 numbers

Subtask #2
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 348 KB 2 numbers

Subtask #3
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2392 KB 340th numbers differ - expected: '18.7500000000', found: '33.3333333870', error = '14.5833333870'
2 Halted 0 ms 0 KB -

Subtask #4
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 2396 KB 2000 numbers

Subtask #5
0 / 10.0

# Verdict Execution time Memory Grader output
1 Incorrect 251 ms 3276 KB 8083rd numbers differ - expected: '99.7190000000', found: '105.1249999930', error = '5.4059999930'
2 Halted 0 ms 0 KB -

Subtask #6
0 / 10.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2044 ms 2388 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 2047 ms 7220 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 2063 ms 6332 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 2055 ms 7508 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 8272 KB Time limit exceeded
2 Halted 0 ms 0 KB -