Submission #944378

#	Time	Username	Problem	Language	Result	Execution time	Memory
944378		marvinthang	Nicelines (RMI20_nicelines)	C++17	31 / 100	99 ms	2604 KiB

nicelines

/*************************************
*    author: marvinthang             *
*    created: 11.03.2024 09:22:47    *
*************************************/

#include "nice_lines.h"
#include <bits/stdc++.h>

using namespace std;

#define                  fi  first
#define                  se  second
#define                left  ___left
#define               right  ___right
#define                TIME  (1.0 * clock() / CLOCKS_PER_SEC)
#define             MASK(i)  (1LL << (i))
#define           BIT(x, i)  ((x) >> (i) & 1)
#define  __builtin_popcount  __builtin_popcountll
#define              ALL(v)  (v).begin(), (v).end()
#define           REP(i, n)  for (int i = 0, _n = (n); i < _n; ++i)
#define          REPD(i, n)  for (int i = (n); i-- > 0; )
#define        FOR(i, a, b)  for (int i = (a), _b = (b); i < _b; ++i) 
#define       FORD(i, b, a)  for (int i = (b), _a = (a); --i >= _a; ) 
#define       FORE(i, a, b)  for (int i = (a), _b = (b); i <= _b; ++i) 
#define      FORDE(i, b, a)  for (int i = (b), _a = (a); i >= _a; --i) 
#define        scan_op(...)  istream & operator >> (istream &in, __VA_ARGS__ &u)
#define       print_op(...)  ostream & operator << (ostream &out, const __VA_ARGS__ &u)
#ifdef LOCAL
    #include "debug.h"
#else
    #define file(name) if (fopen(name".inp", "r")) { freopen(name".inp", "r", stdin); freopen(name".out", "w", stdout); }
    #define DB(...) 23
    #define db(...) 23
    #define debug(...) 23
#endif

template <class U, class V> scan_op(pair <U, V>)  { return in >> u.first >> u.second; }
template <class T> scan_op(vector <T>)  { for (size_t i = 0; i < u.size(); ++i) in >> u[i]; return in; }
template <class U, class V> print_op(pair <U, V>)  { return out << '(' << u.first << ", " << u.second << ')'; }
template <size_t i, class T> ostream & print_tuple_utils(ostream &out, const T &tup) { if constexpr(i == tuple_size<T>::value) return out << ")";  else return print_tuple_utils<i + 1, T>(out << (i ? ", " : "(") << get<i>(tup), tup); }
template <class ...U> print_op(tuple<U...>) { return print_tuple_utils<0, tuple<U...>>(out, u); }
template <class Con, class = decltype(begin(declval<Con>()))> typename enable_if <!is_same<Con, string>::value, ostream&>::type operator << (ostream &out, const Con &con) { out << '{'; for (__typeof(con.begin()) it = con.begin(); it != con.end(); ++it) out << (it == con.begin() ? "" : ", ") << *it; return out << '}'; }

// end of template

#define double long double
const double EPS = 1e-8;
const int MAX_C = 1e4 + 5;
const int PX = MAX_C * 2 + 1;

mt19937 rng(chrono::steady_clock::now().time_since_epoch().count()); 
template <class T> T rand(T l, T h) { return uniform_int_distribution <T> (l, h) (rng); } 
template <class T> T rand(T h) { return uniform_int_distribution <T> (0, h - 1) (rng); } 

struct Point {
    int x; double y;
    Point(int x = 0, double y = 0): x(x), y(y) {}
};

struct Line {
    Point m, n;
    double a, b;
    Line(const Point &_m, const Point &_n) {
        m = _m; n = _n;
        a = (m.y - n.y) / (m.x - n.x);
        b = m.y - a * m.x;
    }
    int intersectX(const Line &ot) const {
        return round((ot.b - b) / (a - ot.a));
    }
    double get_val(double x) const {
        return x * a + b;
    }
};

void solve(int subtask_id, int n) {
    auto collinear = [&] (const Point &a, const Point &b, const Point &c) {
        return abs((b.x - a.x) / (b.y - a.y) - (c.x - a.x) / (c.y - a.y)) <= EPS;
    };
    auto getP = [&] (int x) {
        return Point(x, query(PX, x));
    };
    vector <int> aa, bb;
    auto solve = [&] (auto &&solve, const Line &left, const Line &right) {
        if ((int) aa.size() == n) return;
        if (abs(left.a - right.a) <= EPS) return;
        int m = left.intersectX(right);
        Point mid = getP(m);
        if (collinear(left.m, left.n, mid) && collinear(right.m, right.n, mid)) {
            int b = m % PX;
            if (b < 0) b += PX;
            if (b > MAX_C) b -= PX;
            aa.push_back((m - b) / PX);
            bb.push_back(b);
            return;
        }
        Line ml(mid, getP(m + 1));
        solve(solve, left, ml);
        solve(solve, ml, right);
    };
    int r = PX * MAX_C + MAX_C;
    int l = -r;
    solve(solve, Line(getP(l), getP(l + 1)), Line(getP(r), getP(r + 1)));
    the_lines_are(aa, bb);
}

• Subtask 1: 11 / 11
• Subtask 2: 13 / 13
• Subtask 3: 7 / 7
• Subtask 4: 0 / 19
• Subtask 5: 0 / 23
• Subtask 6: 0 / 27