Problem p02299 (C++) — buggy submission, verdict: Time Limit Exceeded


// be naame khodaa
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef complex<ld> PT;
typedef vector<PT> Poly;
typedef pair<PT, PT> LS;
#define F first
#define S second
#define X real()
#define Y imag()
#define pb push_back

inline int in() {
  int x, y;
  y = scanf("%d", &x);
  return x;
}

const int N = -1;
const ld EPS = 1e-12;

const int LEFT = 0, RIGHT = 1, BACK = 2, FRONT = 3, ON = 4, IN = 5, OUT = 6;

inline bool Geq(ld a, ld b) { return a + EPS > b; }
inline bool Grt(ld a, ld b) { return a > b + EPS; }
inline bool Leq(ld a, ld b) { return a < b + EPS; }
inline bool Lss(ld a, ld b) { return a + EPS < b; }
inline bool Equ(ld a, ld b) { return Geq(a, b) && Geq(b, a); }

istream &operator>>(istream &is, complex<ld> &p) {
  ld val;
  is >> val;
  p.real(val);
  is >> val;
  p.imag(val);
  return is;
}

ld dot(PT a, PT b) { return real(conj(a) * b); }
ld cross(PT a, PT b) { return imag(conj(a) * b); }
ld sqlen(PT a) { return dot(a, a); }
ld len(PT a) { return sqrt(sqlen(a)); }

PT proj(PT a, PT b, PT c) {
  b -= a, c -= a;
  return a + b * real(c / b);
}

PT reflect(PT a, PT b, PT c) {
  b -= a, c -= a;
  return a + conj(c / b) * b;
}

PT rotate(PT a, PT b, ld theta) { return (b - a) * polar<ld>(1, theta) + a; }

int relpos(PT a, PT b, PT c) {
  b -= a, c -= a;
  c /= b;
  if (Grt(c.imag(), 0))
    return LEFT;
  if (Lss(c.imag(), 0))
    return RIGHT;
  if (Lss(c.real(), 0))
    return BACK;
  if (Grt(c.real(), 1))
    return FRONT;
  return ON;
}

int side(PT a, PT b, PT c) {
  b -= a, c -= a;
  ld cr = (c / b).Y;
  return Grt(cr, 0) ? 1 : (Lss(cr, 0) ? -1 : 0);
}

// If LineSegments Intersect
bool intersect(PT a, PT b, PT c, PT d) {
  int as = side(c, d, a), bs = side(c, d, b), cs = side(a, b, c),
      ds = side(a, b, d);
  if (as && as == bs || cs && cs == ds)
    return false;
  else if (as || bs || cs || ds)
    return true;
  for (int j = 0; j < 2; j++, swap(a, c), swap(b, d)) {
    ld mx = min(a.X, b.X), Mx = max(a.X, b.X), my = min(a.Y, b.Y),
       My = max(a.Y, b.Y);
    for (int k = 0; k < 2; k++, swap(c, d))
      if (Geq(c.X, mx) && Leq(c.X, Mx) && Geq(c.Y, my) && Leq(c.Y, My))
        return true;
  }
  return false;
}

// LineSegments Intersection (intersect is true)
PT intersection(PT a, PT b, PT c, PT d) {
  ld c1 = cross(b - a, c - a), c2 = cross(b - a, d - a);
  return (c1 * d - c2 * c) / (c1 - c2);
}

ld distLSP(PT a, PT b, PT c) {
  int rpos = relpos(a, b, proj(a, b, c));
  if (rpos == BACK)
    return len(c - a);
  if (rpos == FRONT)
    return len(c - b);
  b -= a, c -= a;
  return abs(cross(b, c) / len(b));
}

ld distLS(PT a, PT b, PT c, PT d) {
  if (intersect(a, b, c, d))
    return 0;
  return min(min(distLSP(a, b, c), distLSP(a, b, d)),
             min(distLSP(c, d, a), distLSP(c, d, b)));
}

ld signedArea(Poly &po) {
  int n = po.size();
  ld res = 0;
  for (int i = 0; i < n; i++)
    res += cross(po[i], po[(i + 1) % n]);
  return res / 2;
}

ld area(Poly &poly) { return abs(signedArea(poly)); }

bool isConvex(Poly &po) {
  int n = po.size();
  bool neg = false, pos = false;
  for (int i = 0; i < n; i++) {
    int rpos = relpos(po[i], po[(i + 1) % n], po[(i + 2) % n]);
    if (rpos == LEFT)
      pos = true;
    if (rpos == RIGHT)
      neg = true;
  }
  return (neg & pos) == false;
}

int crossingN(Poly &po, PT a) {
  int n = po.size();
  int cn = 0;
  ld mx = a.X;
  for (int i = 0; i < n; i++)
    mx = max(mx, po[i].X);
  PT b(mx, a.Y);
  for (int i = 0; i < n; i++) {
    PT p = po[i], q = po[(i + 1) % n];
    if (intersect(a, b, p, q) && (side(a, b, p) == 1 || side(a, b, q) == 1))
      cn++;
  }
  return cn;
}

int pointInPoly(Poly &po, PT a) {
  int n = po.size();
  for (int i = 0; i < n; i++)
    if (relpos(po[i], po[(i + 1) % n], a) == ON)
      return ON;
  return (crossingN(po, a) % 2 ? IN : OUT);
}

int main() {
  Poly poly;
  for (int i = in(); i; i--) {
    PT p;
    cin >> p;
    poly.pb(p);
  }
  for (int i = in(); i; i--) {
    PT p;
    cin >> p;
    int s = pointInPoly(poly, p);
    cout << (s == IN ? 2 : (s == ON ? 1 : 0)) << endl;
  }
  return 0;
}


Error: TLE

Fixed submission:


// be naame khodaa
#include <bits/stdc++.h>
using namespace std;

typedef long long ll;
typedef long double ld;
typedef pair<int, int> pii;
typedef complex<ld> PT;
typedef vector<PT> Poly;
typedef pair<PT, PT> LS;
#define F first
#define S second
#define X real()
#define Y imag()
#define pb push_back

inline int in() {
  int x, y;
  y = scanf("%d", &x);
  return x;
}

const int N = -1;
const ld EPS = 1e-12;

const int LEFT = 0, RIGHT = 1, BACK = 2, FRONT = 3, ON = 4, IN = 5, OUT = 6;

inline bool Geq(ld a, ld b) { return a + EPS > b; }
inline bool Grt(ld a, ld b) { return a > b + EPS; }
inline bool Leq(ld a, ld b) { return a < b + EPS; }
inline bool Lss(ld a, ld b) { return a + EPS < b; }
inline bool Equ(ld a, ld b) { return Geq(a, b) && Geq(b, a); }

istream &operator>>(istream &is, complex<ld> &p) {
  ld val;
  is >> val;
  p.real(val);
  is >> val;
  p.imag(val);
  return is;
}

ld dot(PT a, PT b) { return real(conj(a) * b); }
ld cross(PT a, PT b) { return imag(conj(a) * b); }
ld sqlen(PT a) { return dot(a, a); }
ld len(PT a) { return sqrt(sqlen(a)); }

PT proj(PT a, PT b, PT c) {
  b -= a, c -= a;
  return a + b * real(c / b);
}

PT reflect(PT a, PT b, PT c) {
  b -= a, c -= a;
  return a + conj(c / b) * b;
}

PT rotate(PT a, PT b, ld theta) { return (b - a) * polar<ld>(1, theta) + a; }

int relpos(PT a, PT b, PT c) {
  b -= a, c -= a;
  c /= b;
  if (Grt(c.imag(), 0))
    return LEFT;
  if (Lss(c.imag(), 0))
    return RIGHT;
  if (Lss(c.real(), 0))
    return BACK;
  if (Grt(c.real(), 1))
    return FRONT;
  return ON;
}

int side(PT a, PT b, PT c) {
  b -= a, c -= a;
  ld cr = (c / b).Y;
  return Grt(cr, 0) ? 1 : (Lss(cr, 0) ? -1 : 0);
}

// If LineSegments Intersect
bool intersect(PT a, PT b, PT c, PT d) {
  int as = side(c, d, a), bs = side(c, d, b), cs = side(a, b, c),
      ds = side(a, b, d);
  if (as && as == bs || cs && cs == ds)
    return false;
  else if (as || bs || cs || ds)
    return true;
  for (int j = 0; j < 2; j++, swap(a, c), swap(b, d)) {
    ld mx = min(a.X, b.X), Mx = max(a.X, b.X), my = min(a.Y, b.Y),
       My = max(a.Y, b.Y);
    for (int k = 0; k < 2; k++, swap(c, d))
      if (Geq(c.X, mx) && Leq(c.X, Mx) && Geq(c.Y, my) && Leq(c.Y, My))
        return true;
  }
  return false;
}

// LineSegments Intersection (intersect is true)
PT intersection(PT a, PT b, PT c, PT d) {
  ld c1 = cross(b - a, c - a), c2 = cross(b - a, d - a);
  return (c1 * d - c2 * c) / (c1 - c2);
}

ld distLSP(PT a, PT b, PT c) {
  int rpos = relpos(a, b, proj(a, b, c));
  if (rpos == BACK)
    return len(c - a);
  if (rpos == FRONT)
    return len(c - b);
  b -= a, c -= a;
  return abs(cross(b, c) / len(b));
}

ld distLS(PT a, PT b, PT c, PT d) {
  if (intersect(a, b, c, d))
    return 0;
  return min(min(distLSP(a, b, c), distLSP(a, b, d)),
             min(distLSP(c, d, a), distLSP(c, d, b)));
}

ld signedArea(Poly &po) {
  int n = po.size();
  ld res = 0;
  for (int i = 0; i < n; i++)
    res += cross(po[i], po[(i + 1) % n]);
  return res / 2;
}

ld area(Poly &poly) { return abs(signedArea(poly)); }

bool isConvex(Poly &po) {
  int n = po.size();
  bool neg = false, pos = false;
  for (int i = 0; i < n; i++) {
    int rpos = relpos(po[i], po[(i + 1) % n], po[(i + 2) % n]);
    if (rpos == LEFT)
      pos = true;
    if (rpos == RIGHT)
      neg = true;
  }
  return (neg & pos) == false;
}

int crossingN(Poly &po, PT a) {
  int cn = 0;
  ld mx = a.X;
  for (PT &p : po)
    mx = max(mx, p.X);
  PT b(mx, a.Y);
  int n = po.size();
  for (int i = 0; i < n; i++) {
    PT p = po[i], q = po[(i + 1) % n];
    if (intersect(a, b, p, q) && (side(a, b, p) == 1 || side(a, b, q) == 1))
      cn++;
  }
  return cn;
}

int pointInPoly(Poly &po, PT a) {
  int n = po.size();
  for (int i = 0; i < n; i++)
    if (relpos(po[i], po[(i + 1) % n], a) == ON)
      return ON;
  return (crossingN(po, a) % 2 ? IN : OUT);
}

int main() {
  Poly poly;
  for (int i = in(); i; i--) {
    PT p;
    cin >> p;
    poly.pb(p);
  }
  for (int i = in(); i; i--) {
    PT p;
    cin >> p;
    int s = pointInPoly(poly, p);
    cout << (s == IN ? 2 : (s == ON ? 1 : 0)) << endl;
  }
  return 0;
}