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Submission #1056868

# Submission time Handle Problem Language Result Execution time Memory
1056868 2024-08-13T11:58:51 Z TimAni Mobile (BOI12_mobile) C++17
0 / 100
 1000 ms 40768 KB 
// time-limit: 3000

#include <bits/stdc++.h>

using namespace std;
using ll = long long;

const double eps = 1e-6;

struct point {
    int x{}, y{};
};

void solve() {
    int n, L;
    cin >> n >> L;
    vector<point> p(n);
    for(int i = 0; i < n; i++) {
        cin >> p[i].x >> p[i].y;
    }
    auto intersection = [&](const point& A, double R) -> array<double, 2> {
        // y^2 = 0, 
        // y^2 = R^2 - (x - A.x)^2 + 2yA.y - A.y ^ 2;
        // R^2 - (x - A.x) ^ 2 - A.y^2 = 0
        // R^2 - x^2 + 2xA.x - A.x^2 - A.y^2 = 0
        // x^2 - 2xA.x + A.x^2 + A.y^2 - R^2 = 0
        // D = -4A.y^2 + 4R^2
        if(abs(A.y) > R) {
            return {L, -1};
        }
        double D = R * R - A.y * A.y; // divided by 4
        double x1 = A.x - sqrt(D);
        double x2 = A.x + sqrt(D);
        if(x2 < x1) swap(x1, x2);
        if(x1 < 0) x1 = 0; 
        if(x2 > L) x2 = L;
        return {x1, x2};
    };

    auto good = [&](double R) {
        vector<array<double, 2>> segs;
        for(int i = 0; i < n; i++) {
            if(abs(p[i].y) > R) continue;
            else segs.push_back(intersection(p[i], R));
        }
        sort(segs.begin(), segs.end());
        double l = segs[0][0], r = segs[0][1];
        int i = 0;
        while(i + 1 < segs.size() && segs[i + 1][0] <= r) {
            r = max(segs[i + 1][1], r);
            i++;
        }
        return r >= L && l <= 0;
    };

    double l = 0, r = 4e9;
    while(r - l > eps) {
        double R = (r + l) / 2;
        if(good(R)) {
            r = R;
        }
        else {
            l = R;
        }
        
    }
    cout << fixed << setprecision(-log10(eps)) << r << endl;
}

int main() {
    cin.tie(0)->sync_with_stdio(0);
    double T = 1;
    //cin >> T;
    while(T--) solve();
    return 0;
}

Compilation message

mobile.cpp: In lambda function:
mobile.cpp:29:21: warning: narrowing conversion of 'L' from 'int' to 'double' [-Wnarrowing]
   29 |             return {L, -1};
      |                     ^
mobile.cpp: In lambda function:
mobile.cpp:49:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<double, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   49 |         while(i + 1 < segs.size() && segs[i + 1][0] <= r) {
      |               ~~~~~~^~~~~~~~~~~~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 344 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #2
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 0 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 348 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 14 ms 704 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 14 ms 700 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 14 ms 716 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 231 ms 4316 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 283 ms 4372 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 256 ms 4620 KB Output is correct
2 Incorrect 304 ms 4464 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 281 ms 4900 KB Output is correct
2 Incorrect 385 ms 4888 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 282 ms 4908 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1010 ms 20740 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 1010 ms 20484 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 1093 ms 31024 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 1044 ms 31088 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 1048 ms 35084 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 1077 ms 33576 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 1061 ms 37584 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 1056 ms 36056 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 1082 ms 40344 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 1020 ms 40768 KB Time limit exceeded
2 Halted 0 ms 0 KB -