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Submission #550703

# Submission time Handle Problem Language Result Execution time Memory
550703 2022-04-18T21:12:30 Z FromDihPout Mobile (BOI12_mobile) C++17
36 / 100
 1000 ms 62992 KB 
/**
 *    author:  FromDihPout
 *    created: 2022-04-18
**/
 
#include <bits/stdc++.h>
using namespace std;

const double EPSILON = 1e-5;

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) {
                return false;
            }
            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(5) << lo << '\n';
    return 0;
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 212 KB Output is correct
2 Correct 0 ms 212 KB Output is correct
3 Correct 0 ms 212 KB Output is correct
4 Correct 1 ms 232 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
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 8 ms 468 KB Output is correct
2 Correct 7 ms 468 KB Output is correct
3 Correct 6 ms 340 KB Output is correct
4 Incorrect 10 ms 468 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 16 ms 644 KB Output is correct
2 Correct 16 ms 636 KB Output is correct
3 Correct 20 ms 644 KB Output is correct
4 Correct 17 ms 728 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 636 KB Output is correct
2 Correct 16 ms 648 KB Output is correct
3 Correct 16 ms 644 KB Output is correct
4 Correct 17 ms 748 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 17 ms 680 KB Output is correct
2 Correct 16 ms 636 KB Output is correct
3 Correct 17 ms 644 KB Output is correct
4 Correct 18 ms 636 KB Output is correct
5 Correct 16 ms 640 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 249 ms 4896 KB Output is correct
2 Correct 334 ms 5096 KB Output is correct
3 Correct 184 ms 3644 KB Output is correct
4 Correct 275 ms 4988 KB Output is correct
5 Correct 178 ms 3364 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 271 ms 5160 KB Output is correct
2 Correct 265 ms 4704 KB Output is correct
3 Correct 289 ms 5352 KB Output is correct
4 Correct 295 ms 5276 KB Output is correct
5 Correct 318 ms 5656 KB Output is correct

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 447 ms 5756 KB Output is correct
2 Correct 357 ms 5428 KB Output is correct
3 Correct 354 ms 5580 KB Output is correct
4 Incorrect 364 ms 6424 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 373 ms 6532 KB Output is correct
2 Correct 465 ms 6648 KB Output is correct
3 Correct 405 ms 6520 KB Output is correct
4 Correct 355 ms 6548 KB Output is correct
5 Correct 362 ms 6528 KB Output is correct

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 387 ms 6544 KB Output is correct
2 Correct 450 ms 6616 KB Output is correct
3 Correct 411 ms 6532 KB Output is correct
4 Incorrect 371 ms 6528 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1092 ms 31536 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 1076 ms 31536 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 1085 ms 37896 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 1092 ms 37888 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 1095 ms 44172 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 1098 ms 44092 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 1095 ms 50348 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 1086 ms 50448 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 1101 ms 62992 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 1098 ms 62908 KB Time limit exceeded
2 Halted 0 ms 0 KB -