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Submission #732496

# Submission time Handle Problem Language Result Execution time Memory
732496 2023-04-29T05:02:38 Z uy842003 Mobile (BOI12_mobile) C++17
80 / 100
 1000 ms 25088 KB 
#include <bits/stdc++.h>
using namespace std;
 
const double eps = 1e-4;
 
inline bool cmp_less(const double &a, const double &b) {
    return a + eps < b;
}
 
inline bool cmp_equal(const double &a, const double &b) {
    return abs(a - b) < eps;
}
 
inline bool cmp_less_equal(const double &a, const double &b) {
    return cmp_less(a, b) || cmp_equal(a, b);
}
 
int main() {
 
    int n;
    double len;
    cin >> n >> len;
    vector<pair<double, double>> cor(n);
    for (int i = 0; i < n; i++)
        cin >> cor[i].first >> cor[i].second;
    double l = 0, r = 1e10, m;
    while (cmp_less(l, r)) {
        m = (l + r) / 2;
        double cur_pos = 0;
        for (int i = 0; i < n; i++) {
            if (!cmp_less_equal(m, abs(cor[i].second))) {
                double dx = sqrt(m * m - cor[i].second * cor[i].second);
                if (cmp_less_equal(cor[i].first - dx, cur_pos)) cur_pos = max(cur_pos, cor[i].first + dx);
            }
        }
        if (cmp_less_equal(len, cur_pos))
            r = m;
        else
            l = m + eps;
    }
    cout << setprecision(3) << fixed << r << endl;
 
    return 0;
}

Subtask #1
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 296 KB Output is correct
4 Correct 1 ms 296 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 300 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 3 ms 360 KB Output is correct
2 Correct 4 ms 340 KB Output is correct
3 Correct 2 ms 316 KB Output is correct
4 Correct 4 ms 364 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 5 ms 312 KB Output is correct
2 Correct 9 ms 440 KB Output is correct
3 Correct 6 ms 312 KB Output is correct
4 Correct 10 ms 452 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 312 KB Output is correct
2 Correct 7 ms 444 KB Output is correct
3 Correct 5 ms 312 KB Output is correct
4 Correct 7 ms 444 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 6 ms 340 KB Output is correct
2 Correct 7 ms 436 KB Output is correct
3 Correct 5 ms 340 KB Output is correct
4 Correct 9 ms 456 KB Output is correct
5 Correct 6 ms 340 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 90 ms 1644 KB Output is correct
2 Correct 112 ms 1580 KB Output is correct
3 Correct 60 ms 1260 KB Output is correct
4 Correct 97 ms 1504 KB Output is correct
5 Correct 43 ms 1308 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 72 ms 1644 KB Output is correct
2 Correct 77 ms 1452 KB Output is correct
3 Correct 88 ms 1576 KB Output is correct
4 Correct 94 ms 1656 KB Output is correct
5 Correct 103 ms 1848 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 80 ms 1740 KB Output is correct
2 Correct 99 ms 1616 KB Output is correct
3 Correct 89 ms 1648 KB Output is correct
4 Correct 142 ms 1972 KB Output is correct
5 Correct 89 ms 1808 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 129 ms 1996 KB Output is correct
2 Correct 119 ms 1876 KB Output is correct
3 Correct 97 ms 2084 KB Output is correct
4 Correct 155 ms 1996 KB Output is correct
5 Correct 102 ms 1980 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 126 ms 1932 KB Output is correct
2 Correct 120 ms 1972 KB Output is correct
3 Correct 98 ms 1992 KB Output is correct
4 Correct 130 ms 1980 KB Output is correct
5 Correct 110 ms 2084 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 469 ms 8360 KB Output is correct
2 Correct 660 ms 8276 KB Output is correct
3 Correct 590 ms 15272 KB Output is correct
4 Correct 643 ms 17576 KB Output is correct
5 Correct 554 ms 14932 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 613 ms 8376 KB Output is correct
2 Correct 631 ms 14668 KB Output is correct
3 Correct 564 ms 13860 KB Output is correct
4 Correct 642 ms 17448 KB Output is correct
5 Correct 567 ms 15400 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 563 ms 9984 KB Output is correct
2 Correct 795 ms 18952 KB Output is correct
3 Correct 699 ms 18376 KB Output is correct
4 Correct 818 ms 21556 KB Output is correct
5 Correct 653 ms 17656 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 755 ms 9948 KB Output is correct
2 Correct 701 ms 17600 KB Output is correct
3 Correct 617 ms 16508 KB Output is correct
4 Correct 784 ms 21312 KB Output is correct
5 Correct 696 ms 18368 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 666 ms 11504 KB Output is correct
2 Correct 882 ms 22084 KB Output is correct
3 Correct 862 ms 21348 KB Output is correct
4 Correct 911 ms 24676 KB Output is correct
5 Correct 744 ms 20192 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 882 ms 11504 KB Output is correct
2 Correct 845 ms 20444 KB Output is correct
3 Correct 739 ms 19620 KB Output is correct
4 Correct 990 ms 24612 KB Output is correct
5 Correct 895 ms 21348 KB Output is correct

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 802 ms 13072 KB Output is correct
2 Execution timed out 1054 ms 25088 KB Time limit exceeded
3 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1095 ms 13204 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 1010 ms 16260 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 1002 ms 16184 KB Time limit exceeded
2 Halted 0 ms 0 KB -