Submission #1031384

#	Submission time	Handle	Problem	Language	Result	Execution time	Memory
1031384	2024-07-22T18:57:08 Z	Boas	Mobile (BOI12_mobile)	C++17	13 / 100	1000 ms	48280 KB

mobile

#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 double ld;
typedef vector<pair<ld, ld>> vff;
ld eps = 3e-4; // 13pt
// ld eps = 1e-8; // 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);
                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)
                {
                    highwayCovered = 0;
                    break;
                }
                r = max(r, r_i);
            }
        }
        if (r < L)
            highwayCovered = 0;
        if (highwayCovered)
        {
            hi = R;
        }
        else
            lo = R;
    }
    cout << fixed << setprecision(4) << lo << endl;
}

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

Subtask #1
4.0 / 4.0

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

Subtask #2
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	1 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	Correct	3 ms	604 KB	Output is correct
2	Correct	4 ms	604 KB	Output is correct
3	Incorrect	2 ms	348 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	744 KB	Output is correct
2	Correct	7 ms	748 KB	Output is correct
3	Correct	9 ms	748 KB	Output is correct
4	Correct	5 ms	748 KB	Output is correct

Subtask #5
0 / 4.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	6 ms	748 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	7 ms	756 KB	Output is correct
2	Correct	7 ms	748 KB	Output is correct
3	Correct	10 ms	748 KB	Output is correct
4	Correct	5 ms	732 KB	Output is correct
5	Correct	6 ms	748 KB	Output is correct

Subtask #7
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	105 ms	4956 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #8
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Incorrect	104 ms	5004 KB	Output isn't correct
2	Halted	0 ms	0 KB	-

Subtask #9
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	148 ms	5928 KB	Output is correct
2	Correct	199 ms	5120 KB	Output is correct
3	Correct	262 ms	5192 KB	Output is correct
4	Incorrect	86 ms	5776 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #10
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	219 ms	5668 KB	Output is correct
2	Correct	302 ms	5660 KB	Output is correct
3	Correct	341 ms	5904 KB	Output is correct
4	Correct	91 ms	5548 KB	Output is correct
5	Incorrect	131 ms	5648 KB	Output isn't correct
6	Halted	0 ms	0 KB	-

Subtask #11
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	161 ms	6220 KB	Output is correct
2	Correct	281 ms	5664 KB	Output is correct
3	Correct	335 ms	5712 KB	Output is correct
4	Incorrect	83 ms	5648 KB	Output isn't correct
5	Halted	0 ms	0 KB	-

Subtask #12
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	713 ms	24544 KB	Output is correct
2	Execution timed out	1012 ms	24316 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Subtask #13
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1032 ms	24496 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Subtask #14
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Correct	908 ms	35844 KB	Output is correct
2	Execution timed out	1100 ms	44976 KB	Time limit exceeded
3	Halted	0 ms	0 KB	-

Subtask #15
0 / 5.0

#	Verdict	Execution time	Memory	Grader output
1	Execution timed out	1058 ms	36880 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	1044 ms	39080 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	1046 ms	38996 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	1026 ms	42000 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	1061 ms	41936 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	1041 ms	48212 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	1047 ms	48280 KB	Time limit exceeded
2	Halted	0 ms	0 KB	-

Submission #1031384

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