oj.uz

Submission #646394

# Submission time Handle Problem Language Result Execution time Memory
646394 2022-09-29T18:01:58 Z pls33 Mobile (BOI12_mobile) C++17
0 / 100
 1000 ms 71552 KB 
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>

using namespace std;
using namespace __gnu_pbds;

#pragma region dalykai
using p32 = pair<int, int>;
using p32u = pair<uint32_t, uint32_t>;
using p64 = pair<int64_t, int64_t>;
using p64u = pair<uint64_t, uint64_t>;
using vi16 = vector<int16_t>;
using vi16u = vector<uint16_t>;
using vi32 = vector<int>;
using vi32u = vector<uint32_t>;
using vi64 = vector<int64_t>;
using vi64u = vector<uint64_t>;
using vp32 = vector<p32>;
using vp32u = vector<p32u>;
using vp64 = vector<p64>;
using vp64u = vector<p64u>;
using vvi32 = vector<vi32>;
using vvi32u = vector<vi32u>;
using vvi64 = vector<vi64>;
using vvi64u = vector<vi64u>;
using vvp32 = vector<vp32>;
using vvp32u = vector<vp32u>;
using vvp64 = vector<vp64>;
using vvp64u = vector<vp64u>;

using pf32 = pair<float, float>;
using pf64 = pair<double, double>;
using pf80 = pair<long double, long double>;
using vf32 = vector<float>;
using vf64 = vector<double>;
using vf80 = vector<long double>;
using vpf32 = vector<pf32>;
using vpf64 = vector<pf64>;
using vpf80 = vector<pf80>;
using vvf32 = vector<vf32>;
using vvf64 = vector<vf64>;
using vvf80 = vector<vf80>;
using vvpf32 = vector<vpf32>;
using vvpf64 = vector<vpf64>;
using vvpf80 = vector<vpf80>;

template <typename key, typename val>
using ord_map = tree<key, val, less<key>, rb_tree_tag,
                     tree_order_statistics_node_update>;

template <typename key>
using ord_set = tree<key, null_type, less<key>, rb_tree_tag,
                     tree_order_statistics_node_update>;

const int BUF_SZ = 1 << 15;
inline namespace fast_in
{
    char buf[BUF_SZ];
    int pos;
    int len;

    char next_char(FILE *f)
    {
        if (pos == len)
        {
            pos = 0;
            len = (int)fread(buf, 1, BUF_SZ, f);

            if (!len)
            {
                return EOF;
            }
        }

        return buf[pos++];
    }

    int read_int(FILE *f)
    {
        int x;
        char ch;
        int sgn = 1;

        while (!isdigit(ch = next_char(f)))
        {
            if (ch == '-')
            {
                sgn *= -1;
            }
        }

        x = ch - '0';
        while (isdigit(ch = next_char(f)))
        {
            x = x * 10 + (ch - '0');
        }

        return x * sgn;
    }
}

/**
 * @brief gale programos flush_out kviest!!
 */
inline namespace fast_out
{
    char buf[BUF_SZ];
    int pos;

    void flush_out(FILE *f)
    {
        fwrite(buf, 1, pos, f);
        pos = 0;
    }

    void write_char(char c, FILE *f)
    {
        if (pos == BUF_SZ)
        {
            flush_out(f);
        }

        buf[pos++] = c;
    }

    void write_int(int x, FILE *f)
    {
        static char num_buf[100];

        if (x < 0)
        {
            write_char('-', f);
            x *= -1;
        }

        int len = 0;
        for (; x >= 10; x /= 10)
        {
            num_buf[len++] = (char)('0' + (x % 10));
        }

        write_char((char)('0' + x), f);
        while (len)
        {
            write_char(num_buf[--len], f);
        }
        write_char('\n', f);
    }
}
#pragma endregion

using fl_t = double;
constexpr fl_t __eps = 1e-9;

bool Q;
struct Line
{
    mutable fl_t k, m, p;
    bool operator<(const Line &o) const
    {
        return Q ? p < o.p : k < o.k;
    }
};

struct cht_t : multiset<Line>
{
    // (for doubles, use inf = 1/.0, div(a,b) = a/b)
    const fl_t inf = std::numeric_limits<fl_t>::infinity();
    fl_t div(fl_t a, fl_t b)
    { // floored division
        return a / b;
    }
    bool isect(iterator x, iterator y)
    {
        if (y == end())
        {
            x->p = inf;
            return false;
        }
        if (x->k == y->k)
            x->p = x->m > y->m ? inf : -inf;
        else
            x->p = div(y->m - x->m, x->k - y->k);
        return x->p >= y->p;
    }
    void add(fl_t k, fl_t m)
    {
        auto z = insert({k, m, 0}), y = z++, x = y;
        while (isect(y, z))
            z = erase(z);
        if (x != begin() && isect(--x, y))
            isect(x, y = erase(y));
        while ((y = x) != begin() && (--x)->p >= y->p)
            isect(x, erase(y));
    }
    fl_t query(fl_t x)
    {
        assert(!empty());
        Q = 1;
        auto l = *lower_bound({0, 0, x});
        Q = 0;
        return l.k * x + l.m;
    }
};

void add(p32 p, cht_t &cht)
{
    fl_t k = -2ll * p.first;
    fl_t b = (fl_t)p.first * p.first + (fl_t)p.second * p.second;

    // - nes reik minimumo mum
    cht.add(-k, -b);
}

fl_t query(fl_t x, cht_t &cht)
{
    return x * x - cht.query(x);
}

fl_t ternary_search(fl_t l, fl_t r, cht_t &cht)
{
    while (r - l > __eps)
    {
        fl_t m_l = l + (r - l) / 3;
        fl_t m_r = r - (r - l) / 3;

        if (query(m_l, cht) < query(m_r, cht))
        {
            l = m_l;
        }
        else
        {
            r = m_r;
        }
    }

    return query(l, cht);
}

int main()
{
#ifndef _AAAAAAAAA
    ios_base::sync_with_stdio(false);
    cin.tie(0);
#else
    freopen("mobile.in", "r", stdin);
#ifndef __linux__
    atexit([]()
           {
        freopen("con", "r", stdin);
        system("pause"); });
#endif
#endif

    int n, length;
    cin >> n >> length;

    cht_t cht;
    for (size_t i = 0; i < n; i++)
    {
        fl_t a, b;
        cin >> a >> b;

        if (fabsl(a) < __eps)
        {
            // ????????
            a = __eps;
        }
        add({a, b}, cht);
    }

    cout << setprecision(7) << sqrt(ternary_search(0, length, cht)) << '\n';

    return 0;
}

Compilation message

mobile.cpp:8: warning: ignoring '#pragma region dalykai' [-Wunknown-pragmas]
    8 | #pragma region dalykai
      | 
mobile.cpp:151: warning: ignoring '#pragma endregion ' [-Wunknown-pragmas]
  151 | #pragma endregion
      | 
mobile.cpp: In function 'int main()':
mobile.cpp:260:26: warning: comparison of integer expressions of different signedness: 'size_t' {aka 'long unsigned int'} and 'int' [-Wsign-compare]
  260 |     for (size_t i = 0; i < n; i++)
      |                        ~~^~~

Subtask #1
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 212 KB Output is correct
2 Incorrect 0 ms 320 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #2
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 1 ms 212 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #3
0 / 4.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 340 KB Output is correct
2 Incorrect 2 ms 460 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #4
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 340 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #5
0 / 4.0

# Verdict Execution time Memory Grader output
1 Incorrect 3 ms 340 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #6
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 4 ms 396 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #7
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 48 ms 1484 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #8
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 51 ms 948 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #9
0 / 5.0

# Verdict Execution time Memory Grader output
1 Correct 71 ms 6620 KB Output is correct
2 Incorrect 48 ms 1460 KB Output isn't correct
3 Halted 0 ms 0 KB -

Subtask #10
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 61 ms 1828 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #11
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1086 ms 5624 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #12
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1058 ms 35856 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #13
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 322 ms 8488 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #14
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1082 ms 42952 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #15
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 391 ms 9784 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #16
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1043 ms 50084 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #17
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 437 ms 7756 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #18
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1098 ms 57380 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #19
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 502 ms 7620 KB Output isn't correct
2 Halted 0 ms 0 KB -

Subtask #20
0 / 5.0

# Verdict Execution time Memory Grader output
1 Execution timed out 1085 ms 71552 KB Time limit exceeded
2 Halted 0 ms 0 KB -

Subtask #21
0 / 5.0

# Verdict Execution time Memory Grader output
1 Incorrect 634 ms 3844 KB Output isn't correct
2 Halted 0 ms 0 KB -