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Submission #1031409

# Submission time Handle Problem Language Result Execution time Memory
1031409 2024-07-22T19:59:07 Z Boas Mobile (BOI12_mobile) C++17
36 / 100
 1000 ms 97608 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
using namespace std;
using namespace __gnu_pbds;

template <typename T1, typename T2>
using indexed_map = tree<T1, T2, less<T1>, rb_tree_tag, tree_order_statistics_node_update>;
template <typename T>
using indexed_set = indexed_map<T, null_type>;

#define loop(x, i) for (int i = 0; i < (x); i++)
#define loop1(x, i) for (int i = 1; i <= (x); i++)
#define rev(x, i) for (int i = (int)(x) - 1; i >= 0; i--)
#define itloop(x) for (auto it = begin(x); x != end(x); it++)
#define itrev(x) for (auto it = rbegin(x); x != rend(x); it++)
// #define int long long
#define INF ((int64_t)(4e18 + 1))
#define INF32 ((int32_t)(2e9 + 1))
#define ALL(x) begin(x), end(x)
#define RALL(x) rbegin(x), rend(x)
#define existsIn(x, l) (count(ALL(l), x) > 0)
#define removeIn(x, l) l.erase(find(ALL(l), x))
#define pb push_back
#define sz(x) (int)(x).size()
#define x first
#define y second
#define var const auto &
#define foreach(l) for (var e : l)

typedef pair<int, int> ii;
typedef tuple<int, int, int> iii;
typedef vector<int> vi;
typedef vector<vi> vvi;
typedef vector<ii> vii;
typedef vector<iii> viii;
typedef vector<vii> vvii;
typedef vector<viii> vviii;
typedef set<int> si;
typedef set<ii> sii;
typedef set<iii> siii;
typedef vector<si> vsi;
typedef vector<sii> vsii;
typedef vector<vsi> vvsi;
typedef vector<string> vstr;
typedef vector<vector<string>> vvstr;
typedef vector<bool> vb;
typedef vector<vb> vvb;
typedef vi::iterator viit;
typedef si::iterator siit;
typedef int8_t in8;
typedef int16_t in16;
typedef int32_t in32;
typedef int64_t in64;

typedef long double ld;
typedef vector<pair<ld, ld>> vff;
// ld eps = 4e-4; // 13pt
ld eps = 1e-5; // 13pt
// ld eps = 1e-18; // 4pt: TLE

void solve()
{
    int N;
    ld L;
    cin >> N >> L;
    vff a(N);
    loop(N, i)
    {
        cin >> a[i].x >> a[i].y;
    }
    ld lo = 0.0L, hi = 5e9L;
    while (hi - lo > eps)
    {
        ld R = lo + (hi - lo) / 2.0L;
        vff segments;
        loop(N, i)
        {
            auto [x, y] = a[i];
            ld D = (R * R) - ((ld)y * (ld)y);
            if (D >= 0.0L)
            {
                ld l = x - sqrt(D);
                ld r = x + sqrt(D);
                if (r >= -eps)
                    segments.pb({l, r});
            }
        }
        if (segments.empty())
        {
            lo = R;
            continue;
        }
        sort(ALL(segments));
        bool highwayCovered = 1;
        ld l = segments[0].first, r = segments[0].second;
        if (l > 0)
            highwayCovered = 0;
        else
        {
            for (auto [l_i, r_i] : segments)
            {
                if (l_i > r + eps)
                {
                    highwayCovered = 0;
                    break;
                }
                r = max(r, r_i);
            }
        }
        if (r + eps < L)
            highwayCovered = 0;
        if (highwayCovered)
        {
            hi = R;
        }
        else
            lo = R;
    }
    ld res = lo + (hi - lo) / 2.0L;
    cout << fixed << setprecision(4) << res << endl;
}

signed main()
{
    cin.tie(0)->sync_with_stdio(0);
    solve();
}

Subtask #1
4.0 / 4.0

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

Subtask #2
4.0 / 4.0

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

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 7 ms 792 KB Output is correct
2 Correct 9 ms 788 KB Output is correct
3 Correct 5 ms 604 KB Output is correct
4 Incorrect 6 ms 784 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 14 ms 1224 KB Output is correct
2 Correct 20 ms 1116 KB Output is correct
3 Correct 25 ms 1092 KB Output is correct
4 Correct 11 ms 1168 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 13 ms 1096 KB Output is correct
2 Correct 21 ms 1120 KB Output is correct
3 Correct 25 ms 1084 KB Output is correct
4 Correct 10 ms 1092 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 15 ms 1092 KB Output is correct
2 Correct 21 ms 1104 KB Output is correct
3 Correct 29 ms 1092 KB Output is correct
4 Correct 9 ms 1120 KB Output is correct
5 Correct 14 ms 1068 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 226 ms 10056 KB Output is correct
2 Correct 458 ms 10504 KB Output is correct
3 Correct 296 ms 6532 KB Output is correct
4 Correct 170 ms 10460 KB Output is correct
5 Correct 154 ms 6052 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 245 ms 10232 KB Output is correct
2 Correct 190 ms 9848 KB Output is correct
3 Correct 202 ms 10692 KB Output is correct
4 Correct 180 ms 10732 KB Output is correct
5 Correct 165 ms 11464 KB Output is correct

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 416 ms 10812 KB Output is correct
2 Correct 509 ms 10916 KB Output is correct
3 Correct 651 ms 10856 KB Output is correct
4 Incorrect 137 ms 12744 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 500 ms 12424 KB Output is correct
2 Correct 635 ms 12504 KB Output is correct
3 Correct 822 ms 12144 KB Output is correct
4 Correct 139 ms 12760 KB Output is correct
5 Correct 250 ms 12096 KB Output is correct

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 271 ms 12384 KB Output is correct
2 Correct 685 ms 12412 KB Output is correct
3 Correct 869 ms 11904 KB Output is correct
4 Incorrect 137 ms 12776 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 1075 ms 52516 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 1043 ms 56624 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 1057 ms 73652 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 1062 ms 78360 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 77684 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 1058 ms 83112 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 1058 ms 81696 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 1048 ms 87908 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 1029 ms 90008 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 1066 ms 97608 KB Time limit exceeded
2 Halted 0 ms 0 KB -