oj.uz

Submission #743188

# Submission time Handle Problem Language Result Execution time Memory
743188 2023-05-17T08:42:06 Z maomao90 Nicelines (RMI20_nicelines) C++17
91.3377 / 100
 78 ms 1160 KB 
#include <bits/stdc++.h>
#include "nice_lines.h"
using namespace std;

#define REP(i, j, k) for (int i = j; i < k; i++)
#define RREP(i, j, k) for (int i = j; i >= k; i--)

template <class T>
inline bool mnto(T &a, const T b) {return a > b ? a = b, 1 : 0;}
template <class T>
inline bool mxto(T &a, const T b) {return a < b ? a = b, 1 : 0;}

typedef long long ll;
typedef long double ld;
#define FI first
#define SE second
typedef pair<int, int> ii;
typedef pair<ll, ll> pll;
#define ALL(x) x.begin(), x.end()
#define SZ(x) (int) x.size()
#define pb push_back
typedef vector<int> vi;
typedef vector<ii> vii;
typedef vector<ll> vll;
typedef tuple<int, int, int> iii;
typedef vector<iii> viii;

#ifndef DEBUG
#define cerr if(0) cerr
#endif

const int INF = 1000000005;
const ll LINF = 1000000000000000005;
const int MAXN = 100;
const int MAXA = 10000;
const ld EPS = 1e-12;
const ld STEP = 1e-5;

struct Point {
    long double x, y;
    Point();
    Point(long double x, long double y);
    Point operator-() const;
    Point& operator+=(const Point &p);
    Point& operator-=(const Point &p);
    Point operator+(const Point &p) const;
    Point operator-(const Point &p) const;
    Point operator* (long double k) const;
    long double dot(const Point &p) const;
};
struct Line {
    Point off, dir;
    Line(int a, int b);
    long double dist(Point p);
};
Point::Point(): x(0), y(0) {}
Point::Point(long double x, long double y): x(x), y(y) {}
Point Point::operator-() const{
    return Point(-x, -y);
}
Point& Point::operator+=(const Point &p) {
    x += p.x;
    y += p.y;
    return *this;
}
Point& Point::operator-=(const Point &p) {
    return *this += (-p);
}
Point Point::operator+(const Point &p) const {
    Point res = *this;
    return res += p;
}
Point Point::operator-(const Point &p) const {
    Point res = *this;
    return res -= p;
}
long double Point::dot(const Point &p) const {
    return x * p.x + y * p.y;
}
Point Point::operator* (long double k) const {
    return Point(x * k, y * k);
}

Line::Line(int a, int b) {
    off = Point(0, b);
    dir = Point(1, a);
}
long double Line::dist(Point p) {
    p -= off;
    Point delta = dir * (p.dot(dir) / dir.dot(dir)) - p;
    return sqrt(delta.dot(delta));
}

ld mp0[MAXA * 4 + 5];
ld query0(int x) {
    if (mp0[x + MAXA] != LINF) {
        return mp0[x + MAXA];
    }
    return mp0[x + MAXA] = query(0, x);
}
map<ii, ld> mps;
ld querys(int x, int b) {
    if (mps.find({x, b}) != mps.end()) {
        return mps[{x, b}];
    }
    return mps[{x, b}] = query(STEP, x * STEP + b);
}

int fib[MAXA];
void solve(int subtask_id, int n) {
    REP (i, 0, MAXA * 4 + 5) {
        mp0[i] = LINF;
    }
    vi va, vb;
    vector<Line> vl;
    int blo = -MAXA, bhi = MAXA;
    if (subtask_id == 4) {
        blo = -500, bhi = 500;
    }
    fib[0] = 1; fib[1] = 2;
    int gd = -1;
    REP (i, 2, MAXA) {
        fib[i] = fib[i - 1] + fib[i - 2];
        if (blo + fib[i] >= bhi) {
            bhi = blo + fib[i];
            gd = i;
            break;
        }
    }
    REP (i, 0, n) {
        int lo = blo, hi = bhi;
        RREP (k, gd, 2) {
        //while (hi - lo >= 3) {
            //int mid1 = lo + (hi - lo) / 3, mid2 = lo + (hi - lo) / 3 * 2;
            int mid1 = lo + fib[k - 2], mid2 = lo + fib[k - 1];
            ld q1 = query0(mid1), q2 = query0(mid2);
            cerr << mid1 << ": " << q1 << '\n';
            cerr << ' ' << mid2 << ": " << q2 << '\n';
            for (Line l : vl) {
                q1 -= l.dist(Point(0, mid1));
                q2 -= l.dist(Point(0, mid2));
            }
            //cerr << mid1 << ": " << q1 << '\n';
            //cerr << ' ' << mid2 << ": " << q2 << '\n';
            if (q1 < q2) {
                hi = mid2;
            } else {
                lo = mid1;
            }
        }
        int b = INF;
        ld mn = LINF;
        REP (i, lo, hi + 1) {
            ld q = query0(i);
            for (Line l : vl) {
                q -= l.dist(Point(0, i));
            }
            if (mnto(mn, q)) {
                b = i;
            }
        }
        //assert(b != INF);
        lo = blo, hi = bhi;
        RREP (k, gd, 2) {
        //while (hi - lo >= 3) {
            //int mid1 = lo + (hi - lo) / 3, mid2 = lo + (hi - lo) / 3 * 2;
            int mid1 = lo + fib[k - 2], mid2 = lo + fib[k - 1];
            ld q1 = querys(mid1, b), q2 = querys(mid2, b);
            //ld q1 = query(STEP, mid1 * STEP + b), q2 = query(STEP, mid2 * STEP + b);
            //cerr << mid1 << ' ' << mid1 * STEP + b << ": " << q1 << '\n';
            //cerr << ' ' << mid2 << ' ' << mid2 * STEP + b << ": " << q2 << '\n';
            for (Line l : vl) {
                q1 -= l.dist(Point(STEP, mid1 * STEP + b));
                q2 -= l.dist(Point(STEP, mid2 * STEP + b));
            }
            if (q1 < q2) {
                hi = mid2;
            } else {
                lo = mid1;
            }
        }
        int a = INF;
        mn = LINF;
        REP (i, lo, hi + 1) {
            ld q = querys(i, b);
            //ld q = query(STEP, i * STEP + b);
            for (Line l : vl) {
                q -= l.dist(Point(STEP, i * STEP + b));
            }
            if (mnto(mn, q)) {
                a = i;
            }
        }
        //assert(a != INF);
        va.pb(a); vb.pb(b);
        vl.pb(Line(a, b));
    }
    the_lines_are(va, vb);
}

Subtask #1
11.0 / 11.0

# Verdict Execution time Memory Grader output
1 Correct 1 ms 848 KB Output is correct
2 Correct 1 ms 848 KB Output is correct
3 Correct 1 ms 928 KB Output is correct
4 Correct 1 ms 936 KB Output is correct

Subtask #2
13.0 / 13.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 848 KB Output is correct
2 Correct 2 ms 848 KB Output is correct
3 Correct 2 ms 848 KB Output is correct
4 Correct 2 ms 848 KB Output is correct

Subtask #3
7.0 / 7.0

# Verdict Execution time Memory Grader output
1 Correct 2 ms 848 KB Output is correct
2 Correct 2 ms 848 KB Output is correct
3 Correct 3 ms 848 KB Output is correct
4 Correct 2 ms 848 KB Output is correct

Subtask #4
16.8715565742 / 19.0

# Verdict Execution time Memory Grader output
1 Partially correct 50 ms 976 KB Output is partially correct
2 Partially correct 59 ms 1016 KB Output is partially correct
3 Partially correct 36 ms 988 KB Output is partially correct
4 Partially correct 43 ms 1108 KB Output is partially correct

Subtask #5
21.9365076069 / 23.0

# Verdict Execution time Memory Grader output
1 Partially correct 18 ms 1068 KB Output is partially correct
2 Partially correct 20 ms 968 KB Output is partially correct
3 Partially correct 16 ms 992 KB Output is partially correct
4 Partially correct 16 ms 976 KB Output is partially correct

Subtask #6
21.5296728489 / 27.0

# Verdict Execution time Memory Grader output
1 Partially correct 50 ms 976 KB Output is partially correct
2 Partially correct 59 ms 1016 KB Output is partially correct
3 Partially correct 36 ms 988 KB Output is partially correct
4 Partially correct 43 ms 1108 KB Output is partially correct
5 Partially correct 18 ms 1068 KB Output is partially correct
6 Partially correct 20 ms 968 KB Output is partially correct
7 Partially correct 16 ms 992 KB Output is partially correct
8 Partially correct 16 ms 976 KB Output is partially correct
9 Partially correct 67 ms 1160 KB Output is partially correct
10 Partially correct 71 ms 1092 KB Output is partially correct
11 Partially correct 78 ms 968 KB Output is partially correct
12 Partially correct 58 ms 1104 KB Output is partially correct