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Submission #1098017

# Submission time Handle Problem Language Result Execution time Memory
1098017 2024-10-08T19:51:23 Z 0x34c Mobile (BOI12_mobile) C++17
95 / 100
 571 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)
{
    ld x1 = a.first, y = a.second;
    return sqrt((x1 - x) * (x1 - x) + y * y);
}

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;

        while (x1 == x2)
        {
        }
        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);
        bool emp = false;

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

        if (!emp)
        {
            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:94:23: warning: comparison of integer expressions of different signedness: 'long long int' and 'long unsigned int' [-Wsign-compare]
   94 |     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 344 KB Output is correct
2 Correct 1 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 #2
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 #3
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 348 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 0 ms 348 KB Output is correct
4 Correct 1 ms 860 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 604 KB Output is correct
2 Correct 2 ms 1116 KB Output is correct
3 Correct 1 ms 600 KB Output is correct
4 Correct 3 ms 1116 KB Output is correct

Subtask #5
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 856 KB Output is correct
2 Correct 2 ms 1116 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 ms 1116 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 1116 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 ms 984 KB Output is correct
5 Correct 1 ms 604 KB Output is correct

Subtask #7
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 34 ms 8656 KB Output is correct
2 Correct 33 ms 7244 KB Output is correct
3 Correct 21 ms 6356 KB Output is correct
4 Correct 33 ms 9644 KB Output is correct
5 Correct 6 ms 1628 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 18 ms 2904 KB Output is correct
2 Correct 27 ms 5580 KB Output is correct
3 Correct 34 ms 9176 KB Output is correct
4 Correct 39 ms 9932 KB Output is correct
5 Correct 43 ms 10704 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 43 ms 15040 KB Output is correct
2 Correct 38 ms 7124 KB Output is correct
3 Correct 41 ms 13632 KB Output is correct
4 Correct 56 ms 12320 KB Output is correct
5 Correct 33 ms 4248 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 44 ms 7368 KB Output is correct
2 Correct 43 ms 7112 KB Output is correct
3 Correct 37 ms 4692 KB Output is correct
4 Correct 52 ms 12232 KB Output is correct
5 Correct 49 ms 10400 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 45 ms 14148 KB Output is correct
2 Correct 45 ms 7112 KB Output is correct
3 Correct 36 ms 4812 KB Output is correct
4 Correct 47 ms 12232 KB Output is correct
5 Correct 51 ms 10440 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 263 ms 74420 KB Output is correct
2 Correct 168 ms 16368 KB Output is correct
3 Correct 167 ms 15884 KB Output is correct
4 Correct 303 ms 56512 KB Output is correct
5 Correct 255 ms 43196 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 171 ms 16812 KB Output is correct
2 Correct 265 ms 55712 KB Output is correct
3 Correct 235 ms 27084 KB Output is correct
4 Correct 277 ms 56388 KB Output is correct
5 Correct 270 ms 51652 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 293 ms 103844 KB Output is correct
2 Correct 177 ms 18884 KB Output is correct
3 Correct 178 ms 18356 KB Output is correct
4 Correct 325 ms 74600 KB Output is correct
5 Correct 288 ms 44732 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 181 ms 19536 KB Output is correct
2 Correct 305 ms 70840 KB Output is correct
3 Correct 253 ms 26308 KB Output is correct
4 Correct 336 ms 74436 KB Output is correct
5 Correct 323 ms 67596 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 364 ms 117296 KB Output is correct
2 Correct 199 ms 21968 KB Output is correct
3 Correct 201 ms 21336 KB Output is correct
4 Correct 386 ms 84160 KB Output is correct
5 Correct 326 ms 44740 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 213 ms 22608 KB Output is correct
2 Correct 363 ms 79800 KB Output is correct
3 Correct 327 ms 35832 KB Output is correct
4 Correct 381 ms 83964 KB Output is correct
5 Correct 364 ms 73920 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 400 ms 129580 KB Output is correct
2 Correct 215 ms 23380 KB Output is correct
3 Correct 213 ms 22612 KB Output is correct
4 Correct 427 ms 91840 KB Output is correct
5 Correct 419 ms 61380 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 225 ms 23848 KB Output is correct
2 Correct 411 ms 87224 KB Output is correct
3 Correct 362 ms 36488 KB Output is correct
4 Correct 430 ms 91580 KB Output is correct
5 Correct 421 ms 80576 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Runtime error 445 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 278 ms 29560 KB Output is correct
2 Correct 532 ms 108056 KB Output is correct
3 Correct 484 ms 49084 KB Output is correct
4 Correct 571 ms 110268 KB Output is correct
5 Correct 517 ms 96612 KB Output is correct