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Submission #1098023

# Submission time Handle Problem Language Result Execution time Memory
1098023 2024-10-08T19:59:05 Z 0x34c Mobile (BOI12_mobile) C++17
95 / 100
 584 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)
    {
        try
        {
            ld x1 = pts[idx1].first, y1 = pts[idx1].second;
            ld x2 = pts[idx2].first, y2 = pts[idx2].second;

            if (x1 - x2 == 0)
                return (ld)-1;
            return ((ld)0.5) * (x1 + x2 + (y1 * y1 - y2 * y2) / (x1 - x2));
        }
        catch (const std::exception &e)
        {
            return (ld)-1;
        }
    };

    stack<int> stk;
    stk.push(0);
    vector<ld> dists, bps;
    for (int i = 1; i < N; i++)
    {
        try
        {
            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);
        }
        catch (const std::exception &e)
        {
        }
    }

    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], (ld)0));
        mn_end = min(mn_end, dist(pts[i], (ld)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:106:23: warning: comparison of integer expressions of different signedness: 'long long int' and 'long unsigned int' [-Wsign-compare]
  106 |     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 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 344 KB Output is correct
2 Correct 1 ms 860 KB Output is correct
3 Correct 1 ms 348 KB Output is correct
4 Correct 1 ms 856 KB Output is correct

Subtask #4
4.0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 604 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 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 860 KB Output is correct
3 Correct 2 ms 856 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 856 KB Output is correct
2 Correct 2 ms 816 KB Output is correct
3 Correct 1 ms 604 KB Output is correct
4 Correct 2 ms 860 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 33 ms 7856 KB Output is correct
2 Correct 32 ms 6316 KB Output is correct
3 Correct 21 ms 5588 KB Output is correct
4 Correct 37 ms 8400 KB Output is correct
5 Correct 8 ms 1116 KB Output is correct

Subtask #8
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 19 ms 2136 KB Output is correct
2 Correct 28 ms 4812 KB Output is correct
3 Correct 35 ms 8140 KB Output is correct
4 Correct 36 ms 8664 KB Output is correct
5 Correct 40 ms 9168 KB Output is correct

Subtask #9
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 47 ms 14272 KB Output is correct
2 Correct 35 ms 6100 KB Output is correct
3 Correct 37 ms 12740 KB Output is correct
4 Correct 51 ms 10200 KB Output is correct
5 Correct 30 ms 3548 KB Output is correct

Subtask #10
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 42 ms 5776 KB Output is correct
2 Correct 42 ms 5832 KB Output is correct
3 Correct 33 ms 3668 KB Output is correct
4 Correct 47 ms 10436 KB Output is correct
5 Correct 42 ms 9284 KB Output is correct

Subtask #11
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 46 ms 12480 KB Output is correct
2 Correct 42 ms 5832 KB Output is correct
3 Correct 33 ms 3668 KB Output is correct
4 Correct 48 ms 10440 KB Output is correct
5 Correct 46 ms 9160 KB Output is correct

Subtask #12
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 246 ms 70508 KB Output is correct
2 Correct 155 ms 8968 KB Output is correct
3 Correct 149 ms 8952 KB Output is correct
4 Correct 279 ms 47804 KB Output is correct
5 Correct 250 ms 36800 KB Output is correct

Subtask #13
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 161 ms 9044 KB Output is correct
2 Correct 257 ms 49584 KB Output is correct
3 Correct 225 ms 21452 KB Output is correct
4 Correct 262 ms 47672 KB Output is correct
5 Correct 258 ms 44824 KB Output is correct

Subtask #14
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 314 ms 99024 KB Output is correct
2 Correct 182 ms 10272 KB Output is correct
3 Correct 188 ms 10320 KB Output is correct
4 Correct 341 ms 63940 KB Output is correct
5 Correct 305 ms 37052 KB Output is correct

Subtask #15
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 183 ms 10320 KB Output is correct
2 Correct 322 ms 63416 KB Output is correct
3 Correct 253 ms 19908 KB Output is correct
4 Correct 343 ms 63936 KB Output is correct
5 Correct 327 ms 59440 KB Output is correct

Subtask #16
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 380 ms 111520 KB Output is correct
2 Correct 209 ms 11856 KB Output is correct
3 Correct 194 ms 11964 KB Output is correct
4 Correct 382 ms 71584 KB Output is correct
5 Correct 350 ms 36364 KB Output is correct

Subtask #17
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 208 ms 12028 KB Output is correct
2 Correct 373 ms 71104 KB Output is correct
3 Correct 325 ms 28228 KB Output is correct
4 Correct 388 ms 71668 KB Output is correct
5 Correct 371 ms 65148 KB Output is correct

Subtask #18
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 412 ms 124064 KB Output is correct
2 Correct 214 ms 13400 KB Output is correct
3 Correct 217 ms 13324 KB Output is correct
4 Correct 461 ms 79492 KB Output is correct
5 Correct 408 ms 52540 KB Output is correct

Subtask #19
5.0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 226 ms 13364 KB Output is correct
2 Correct 410 ms 78832 KB Output is correct
3 Correct 367 ms 29124 KB Output is correct
4 Correct 451 ms 79412 KB Output is correct
5 Correct 426 ms 71364 KB Output is correct

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Runtime error 447 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 275 ms 16348 KB Output is correct
2 Correct 525 ms 97700 KB Output is correct
3 Correct 481 ms 39360 KB Output is correct
4 Correct 584 ms 95164 KB Output is correct
5 Correct 558 ms 84992 KB Output is correct