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Submission #990342

# Submission time Handle Problem Language Result Execution time Memory
990342 2024-05-30T08:45:12 Z Ska Mobile (BOI12_mobile) C++14
4 / 100
 1000 ms 12816 KB 
#include <bits/stdc++.h>
using namespace std;

const int N = 1e5 + 5;

int n;
long double m;
long double x[N], y[N];

pair<long double, long double> calc(long double r, int i) {
    if (r < y[i]) {
        return {-1, -1};
    }
    return {x[i] - sqrtl(r * r - y[i] * y[i]), x[i] + sqrtl(r * r - y[i] * y[i])};
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(nullptr);
    cin >> n >> m;
    long double l = 2e9, r = 2e9;
    for (int i = 1; i <= n; ++i) {
        cin >> x[i] >> y[i];
        l = min(l, abs(y[i]));
    }
    int iter = 60;
    while (iter--) {
        vector<pair<long double, long double>> segments;
        long double mid = (l + r) / 2;
        for (int i = 1; i <= n; ++i) {
            auto x = calc(mid, i);
            if (x.first != -1 && x.second != -1) {
                segments.emplace_back(x.first, x.second);
            }
        }
        sort(segments.begin(), segments.end());
        long double bound = 0;
        for (auto x : segments) {
            if (x.first > bound) {
                break;
            }
            bound = max(bound, x.second);
            if (bound >= m) {
                break;
            }
        }
        if (bound >= m) {
            r = mid;
        } else {
            l = mid;
        }
    }
    cout << fixed << setprecision(6) << l << '\n';
}

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 2396 KB Output is correct
2 Correct 0 ms 2396 KB Output is correct
3 Correct 0 ms 2396 KB Output is correct
4 Correct 1 ms 2396 KB Output is correct

Subtask #2
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 2396 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 24 ms 2820 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 36 ms 3056 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 36 ms 3140 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 27 ms 3076 KB Output is correct
2 Correct 26 ms 3096 KB Output is correct
3 Correct 42 ms 3144 KB Output is correct
4 Incorrect 36 ms 3108 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #7
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 336 ms 12176 KB Output is correct
2 Correct 647 ms 10540 KB Output is correct
3 Correct 465 ms 7144 KB Output is correct
4 Incorrect 689 ms 10532 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #8
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 634 ms 11316 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 546 ms 11328 KB Output is correct
2 Correct 721 ms 12232 KB Output is correct
3 Correct 936 ms 10892 KB Output is correct
4 Incorrect 838 ms 12032 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 682 ms 11920 KB Output is correct
2 Correct 850 ms 11860 KB Output is correct
3 Execution timed out 1035 ms 12356 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 581 ms 11876 KB Output is correct
2 Correct 803 ms 12816 KB Output is correct
3 Execution timed out 1070 ms 12420 KB Time limit exceeded
4 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 23 ms 4176 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 28 ms 4572 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 23 ms 4236 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 28 ms 4436 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 23 ms 4176 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 28 ms 4432 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 23 ms 4184 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 29 ms 4432 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 23 ms 4188 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 28 ms 4756 KB Output isn't correct
2 Halted 0 ms 0 KB -