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Submission #1056894

# Submission time Handle Problem Language Result Execution time Memory
1056894 2024-08-13T12:12:36 Z TimAni Mobile (BOI12_mobile) C++17
13 / 100
 1000 ms 41024 KB 
// time-limit: 3000
 
#include <bits/stdc++.h>
 
using namespace std;
using ll = long long;
 
const double eps = 1E-4;
 
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> {
        if(abs(A.y) > R) {
            return {L, -1};
        }
        double D = 1.0 * R * R - 1.0 * 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);
        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;
            segs.push_back(intersection(p[i], R));
        }
        if(segs.empty()) return false;
        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:23:21: warning: narrowing conversion of 'L' from 'int' to 'double' [-Wnarrowing]
   23 |             return {L, -1};
      |                     ^
mobile.cpp: In lambda function:
mobile.cpp:42:21: warning: comparison of integer expressions of different signedness: 'int' and 'std::vector<std::array<double, 2> >::size_type' {aka 'long unsigned int'} [-Wsign-compare]
   42 |         while(i + 1 < segs.size() && segs[i + 1][0] <= r) {
      |               ~~~~~~^~~~~~~~~~~~~

Subtask #1
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 0 ms 344 KB Output is correct
2 Correct 0 ms 344 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 348 KB Output is correct

Subtask #2
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 #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 348 KB Output is correct
2 Correct 4 ms 348 KB Output is correct
3 Incorrect 2 ms 464 KB Output isn't correct
4 Halted 0 ms 0 KB -

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 700 KB Output is correct
2 Correct 9 ms 776 KB Output is correct
3 Correct 13 ms 744 KB Output is correct
4 Correct 6 ms 780 KB Output is correct

Subtask #5
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 6 ms 712 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 9 ms 700 KB Output is correct
2 Correct 9 ms 784 KB Output is correct
3 Correct 12 ms 748 KB Output is correct
4 Correct 5 ms 796 KB Output is correct
5 Correct 6 ms 756 KB Output is correct

Subtask #7
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 135 ms 4352 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 126 ms 4392 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 218 ms 4616 KB Output is correct
2 Correct 252 ms 4468 KB Output is correct
3 Correct 278 ms 4516 KB Output is correct
4 Incorrect 72 ms 4800 KB Output isn't correct
5 Halted 0 ms 0 KB -

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 259 ms 4896 KB Output is correct
2 Correct 323 ms 4868 KB Output is correct
3 Correct 357 ms 4884 KB Output is correct
4 Correct 64 ms 4812 KB Output is correct
5 Incorrect 126 ms 5660 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 230 ms 4896 KB Output is correct
2 Correct 326 ms 6036 KB Output is correct
3 Correct 354 ms 5660 KB Output is correct
4 Correct 64 ms 6064 KB Output is correct
5 Incorrect 124 ms 5660 KB Output isn't correct
6 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1046 ms 20808 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 1022 ms 20588 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 1054 ms 31232 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 1087 ms 31376 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 1028 ms 34176 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 35348 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 1053 ms 36628 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 1038 ms 36420 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 1040 ms 41024 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 1046 ms 40352 KB Time limit exceeded
2 Halted 0 ms 0 KB -