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Submission #550718

# Submission time Handle Problem Language Result Execution time Memory
550718 2022-04-18T21:31:23 Z FromDihPout Mobile (BOI12_mobile) C++17
50 / 100
 1000 ms 64192 KB 
/**
 *    author:  FromDihPout
 *    created: 2022-04-18
**/
 
#include <bits/stdc++.h>
using namespace std;

const double EPSILON = 1e-3;

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

    int n, l;
    cin >> n >> l;
    vector<array<double, 2>> p(n);
    for (int i = 0; i < n; i++) {
        cin >> p[i][0] >> p[i][1];
    }

    auto check = [&](double r) {
        vector<pair<double, double>> intervals(n);
        for (int i = 0; i < n; i++) {
            if (p[i][1] >= r) continue;
            double length = sqrt((r * r) - (p[i][1] * p[i][1]));
            intervals.emplace_back(p[i][0] - length, p[i][0] + length);
        }
        sort(intervals.begin(), intervals.end());

        double end = 0.0;
        for (auto [left, right] : intervals) {
            if (left > end) continue;
            end = max(end, right);
        }
        return end >= l;
    };

    double lo = 0, hi = 1e10;
    while (hi - lo > EPSILON) {
        double mid = (lo + hi) / 2;
        if (check(mid)) {
            hi = mid;
        } else {
            lo = mid;
        }
    }
    cout << fixed << setprecision(4) << lo << '\n';
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 340 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 324 KB Output is correct
4 Correct 1 ms 324 KB Output is correct

Subtask #2
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Correct 1 ms 212 KB Output is correct
3 Correct 1 ms 212 KB Output is correct
4 Correct 1 ms 212 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 468 KB Output is correct
2 Correct 8 ms 468 KB Output is correct
3 Correct 6 ms 460 KB Output is correct
4 Correct 11 ms 460 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 676 KB Output is correct
2 Correct 15 ms 708 KB Output is correct
3 Correct 16 ms 684 KB Output is correct
4 Correct 15 ms 708 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 688 KB Output is correct
2 Correct 15 ms 708 KB Output is correct
3 Correct 20 ms 672 KB Output is correct
4 Correct 17 ms 708 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 756 KB Output is correct
2 Correct 14 ms 708 KB Output is correct
3 Correct 17 ms 832 KB Output is correct
4 Correct 15 ms 712 KB Output is correct
5 Correct 15 ms 672 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 220 ms 5756 KB Output is correct
2 Correct 303 ms 5656 KB Output is correct
3 Correct 166 ms 4088 KB Output is correct
4 Correct 264 ms 5512 KB Output is correct
5 Correct 156 ms 3732 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 262 ms 5900 KB Output is correct
2 Correct 232 ms 5172 KB Output is correct
3 Correct 268 ms 5812 KB Output is correct
4 Correct 283 ms 5772 KB Output is correct
5 Correct 283 ms 6180 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 411 ms 6452 KB Output is correct
2 Correct 319 ms 6072 KB Output is correct
3 Correct 353 ms 6120 KB Output is correct
4 Correct 336 ms 7056 KB Output is correct
5 Correct 335 ms 6776 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 365 ms 8064 KB Output is correct
2 Correct 419 ms 7456 KB Output is correct
3 Correct 390 ms 7040 KB Output is correct
4 Correct 333 ms 7040 KB Output is correct
5 Correct 360 ms 7060 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 362 ms 8052 KB Output is correct
2 Correct 447 ms 7356 KB Output is correct
3 Correct 371 ms 7044 KB Output is correct
4 Correct 353 ms 7076 KB Output is correct
5 Correct 333 ms 7792 KB Output is correct

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1085 ms 33180 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1084 ms 33196 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1082 ms 39444 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1084 ms 38924 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1076 ms 45640 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1068 ms 45140 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1085 ms 51956 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1079 ms 51508 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1056 ms 64192 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1091 ms 63084 KB Time limit exceeded
2 Halted 0 ms 0 KB -