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Submission #1098011

# Submission time Handle Problem Language Result Execution time Memory
1098011 2024-10-08T19:39:18 Z 0x34c Mobile (BOI12_mobile) C++17
95 / 100
 564 ms 131072 KB 
#include <bits/stdc++.h>
#define ll long long
#define pii pair<int, int>
#define endl '\n'
#define int ll
#define ld long double
#define pdd pair<ld, ld>

using namespace std;

int dist2(pii a, pii b)
{
    return (a.first - b.first) * (a.first - b.first) + (a.second - b.second) * (a.second - b.second);
}

ld dist(pii a, ld x)
{
    return sqrt((((ld)a.first) - x) * (((ld)a.first) - x) + (ld)(a.second * a.second));
}

const int INF2 = 1e12;
const int INF = 1e9 + 1;
ld eps = 1e-4;

signed main()
{
    ios_base::sync_with_stdio(0);
    cin.tie(0);

    int N, L;
    cin >> N >> L;

    vector<pii> inp(N);
    map<int, int> closest;
    for (int i = 0; i < N; i++)
    {
        int x, y;
        cin >> x >> y;

        inp[i] = {x, y};

        if (!closest.count(x))
            closest[x] = y;
        else
            closest[x] = (abs(closest[x]) > abs(y) ? y : closest[x]);
    }

    vector<pii> pts;
    for (pii p : closest)
        pts.push_back(p);

    N = pts.size();

    auto calc_bp = [&](int idx1, int idx2)
    {
        ld x1 = pts[idx1].first, y1 = pts[idx1].second;
        ld x2 = pts[idx2].first, y2 = pts[idx2].second;

        return ((ld)0.5) * (x1 + x2 + (y1 * y1 - y2 * y2) / (x1 - x2));
    };

    stack<int> stk;
    stk.push(0);
    vector<ld> dists, bps;
    for (int i = 1; i < N; i++)
    {
        ld bp = calc_bp(stk.top(), i);

        while (!bps.empty() && bps.back() > bp)
        {
            bps.pop_back();
            stk.pop();
            dists.pop_back();
            bp = calc_bp(stk.top(), i);
        }

        bps.push_back(bp);
        dists.push_back(dist(pts[i], bp));
        stk.push(i);
    }

    ld mx_dist = 0;
    for (int i = 0; i < (bps.empty() ? 0 : bps.size()); i++)
    {
        if (bps[i] < 0 || bps[i] > L)
            continue;
        mx_dist = max(mx_dist, dists[i]);
    }

    ld mn_start = INF2, mn_end = INF2;
    for (int i = 0; i < N; i++)
    {
        mn_start = min(mn_start, dist(pts[i], 0));
        mn_end = min(mn_end, dist(pts[i], L));
    }

    mx_dist = max({mx_dist, mn_start, mn_end});
    cout << setprecision(4) << fixed << mx_dist << endl;
}

Compilation message

mobile.cpp: In function 'int main()':
mobile.cpp:83:23: warning: comparison of integer expressions of different signedness: 'long long int' and 'long unsigned int' [-Wsign-compare]
   83 |     for (int i = 0; i < (bps.empty() ? 0 : bps.size()); i++)
      |                     ~~^~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

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 0 ms 344 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 344 KB Output is correct

Subtask #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 764 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 604 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 600 KB Output is correct
2 Correct 2 ms 856 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 ms 860 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 KB Output is correct
2 Correct 2 ms 856 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 ms 860 KB Output is correct

Subtask #6
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 860 KB Output is correct
2 Correct 2 ms 860 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 ms 904 KB Output is correct
5 Correct 1 ms 348 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 31 ms 7888 KB Output is correct
2 Correct 31 ms 6320 KB Output is correct
3 Correct 20 ms 5588 KB Output is correct
4 Correct 37 ms 8400 KB Output is correct
5 Correct 6 ms 1116 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 2140 KB Output is correct
2 Correct 29 ms 4792 KB Output is correct
3 Correct 33 ms 8096 KB Output is correct
4 Correct 36 ms 8652 KB Output is correct
5 Correct 38 ms 9432 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 35 ms 14176 KB Output is correct
2 Correct 33 ms 6104 KB Output is correct
3 Correct 36 ms 12748 KB Output is correct
4 Correct 48 ms 10200 KB Output is correct
5 Correct 28 ms 3548 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 40 ms 5832 KB Output is correct
2 Correct 40 ms 5836 KB Output is correct
3 Correct 34 ms 3664 KB Output is correct
4 Correct 49 ms 10440 KB Output is correct
5 Correct 43 ms 9156 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 50 ms 12484 KB Output is correct
2 Correct 40 ms 5836 KB Output is correct
3 Correct 33 ms 3920 KB Output is correct
4 Correct 48 ms 10444 KB Output is correct
5 Correct 43 ms 9156 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 236 ms 70336 KB Output is correct
2 Correct 155 ms 8988 KB Output is correct
3 Correct 149 ms 9040 KB Output is correct
4 Correct 273 ms 48572 KB Output is correct
5 Correct 240 ms 37384 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 150 ms 9020 KB Output is correct
2 Correct 247 ms 49752 KB Output is correct
3 Correct 215 ms 21448 KB Output is correct
4 Correct 261 ms 48756 KB Output is correct
5 Correct 262 ms 45780 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 296 ms 99052 KB Output is correct
2 Correct 186 ms 10328 KB Output is correct
3 Correct 170 ms 10320 KB Output is correct
4 Correct 312 ms 63940 KB Output is correct
5 Correct 301 ms 37056 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 181 ms 10320 KB Output is correct
2 Correct 314 ms 63460 KB Output is correct
3 Correct 252 ms 19912 KB Output is correct
4 Correct 334 ms 63940 KB Output is correct
5 Correct 312 ms 59456 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 350 ms 111512 KB Output is correct
2 Correct 189 ms 11860 KB Output is correct
3 Correct 191 ms 11824 KB Output is correct
4 Correct 381 ms 71720 KB Output is correct
5 Correct 325 ms 36292 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 205 ms 11992 KB Output is correct
2 Correct 353 ms 71100 KB Output is correct
3 Correct 319 ms 28108 KB Output is correct
4 Correct 395 ms 71612 KB Output is correct
5 Correct 358 ms 65216 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 409 ms 124060 KB Output is correct
2 Correct 211 ms 13296 KB Output is correct
3 Correct 212 ms 13396 KB Output is correct
4 Correct 433 ms 79548 KB Output is correct
5 Correct 398 ms 60548 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 227 ms 26200 KB Output is correct
2 Correct 405 ms 89272 KB Output is correct
3 Correct 376 ms 38472 KB Output is correct
4 Correct 461 ms 94552 KB Output is correct
5 Correct 426 ms 82824 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Runtime error 468 ms 131072 KB Execution killed with signal 9
2 Halted 0 ms 0 KB -

Subtask #21
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 274 ms 32336 KB Output is correct
2 Correct 533 ms 110500 KB Output is correct
3 Correct 485 ms 51112 KB Output is correct
4 Correct 564 ms 113852 KB Output is correct
5 Correct 540 ms 99264 KB Output is correct