Submission #349547

#	Time	Username	Problem	Language	Result	Execution time	Memory
349547		CaroLinda	Printed Circuit Board (CEOI12_circuit)	C++14	75 / 100	509 ms	37328 KiB

circuit

#include <bits/stdc++.h>

static struct FASTIO {

  char READ_CHARACTER; bool REMAINING_CHARACTER = false;

  inline void ignore(); inline void flush();

  template <typename T> inline bool READ_INT(T &x); template <typename T> inline bool READ_STRING(T &x);
  /*                                                          Fast I/O Code Optimizer                                                          */
  template<size_t N> inline bool READ_CHAR_ARRAY(char (&x)[N]); template<size_t N> inline bool READ_VAR(char (&x)[N]);
  /*                    A tool to optimize execution time of C++ codes by replacing methods of reading and writing variables                   */
  template <typename T> inline bool READ_CHAR(T &x); inline bool READ_CHAR_ARRAY(char*& x); inline bool READ_GETLINE(std::string &x);
  /*                                                    Use it on fastio.pythonanywhere.com                                                    */
  template <typename T> inline bool READ_FLOAT(T &x); template <typename T> inline bool READ_DOUBLE(T &x);
  /*                                          Github Project: github.com/bfs07/Fast-IO-Code-Optimizer                                          */
  template<std::size_t N> inline bool READ_BITSET(std::bitset<N> &bit); template<std::size_t N> inline bool READ_VAR(std::bitset<N> &bit);
  inline bool READ_VAR(bool &x); inline bool READ_VAR(short int &x); inline bool READ_VAR(int &x); 
  inline bool READ_VAR(long int &x); inline bool READ_VAR(long long int &x); inline bool READ_VAR(unsigned short int &x);
  inline bool READ_VAR(unsigned int &x); inline bool READ_VAR(unsigned long &x); inline bool READ_VAR(unsigned long long &x);
  inline bool READ_VAR(std::string &x); inline bool READ_VAR(char &x); inline bool READ_VAR(char*& x); inline bool READ_VAR(float &x);
  inline bool READ_VAR(double &x); inline bool READ_VAR(long double &x); template <typename T> inline void WRITE_INT(T x);
  inline void WRITE_STRING(std::string &x); inline void WRITE_CHAR(char x); inline void WRITE_CHAR_ARRAY(const char *x);
  inline void WRITE_FLOAT(float x); template <typename T> inline void WRITE_DOUBLE(T x); inline void WRITE_VAR(bool x);
  inline void WRITE_VAR(short int x); inline void WRITE_VAR(int x); inline void WRITE_VAR(long int x); inline void WRITE_VAR(long long int x);
  inline void WRITE_VAR(unsigned short int x); inline void WRITE_VAR(unsigned int x); inline void WRITE_VAR(unsigned long x);
  inline void WRITE_VAR(unsigned long long x); inline void WRITE_VAR(char x); inline void WRITE_VAR(const char *x); 
  inline void WRITE_VAR(std::string &x); inline void WRITE_VAR(float x); inline void WRITE_VAR(double x); inline void WRITE_VAR(long double x);
  template<std::size_t N> inline void WRITE_VAR(std::bitset<N> &bit); template<std::size_t N> inline void WRITE_BITSET(std::bitset<N> &bit);

} __FIO__;


#include <bits/stdc++.h>

#pragma GCC target ("avx2")
#pragma GCC optimization ("O3")
#pragma GCC optimization ("unroll-loops") 
#define sz(x) (int)(x.size())
#define debug printf
#define lp(i,a,b) for(int i = a ; i < b; i++)
#define pb push_back
#define ff first
#define ss second
#define mk make_pair
#define pii pair<int,int>
#define ll long long 
#define all(x) x.begin(),x.end()
 
const int MAX = 2e5+10 ;
 
using namespace std ;
 
int N ;
int myId[MAX] ;
ll num[MAX], den[MAX] ;
 
struct Point
{
 
    ll x , y ;
 
    Point(ll x=0, ll y=0):x(x), y(y) {}
    
    bool operator == ( Point other ) const { return x == other.x && y == other.y ; }
    bool operator != (Point other ) const { return x != other.x || y != other.y ; }
    Point operator - (Point other) const { return Point(x-other.x, y-other.y) ; } 
    ll operator % (Point other) const { return x*other.y - y*other.x ; }
    ll operator *(Point other) const { return x*other.x + y*other.y ; }
    void read() { scanf("%lld %lld", &x, &y) ; }
} ;
 
struct Line
{
	Point p1, p2 ; 
	Line( Point p1 = Point(0,0) , Point p2 = Point(0,0) ) : p1(p1) , p2(p2) {} 
}  ;
 
bool isLess(ll num1, ll den1, ll num2, ll den2 )
{
	 
 
   if(num1 <= 1000000000 && den1 <= 1000000000 && num2 <= 1000000000 && den2 <= 1000000000 )
   	return num1*den2 < num2*den1 ;

	ll q1 = num1/den1 ;
	ll q2 = num2/den2 ;
	ll r1 = num1%den1 ;
	ll r2 = num2%den2 ;
 
	if( q1 != q2 ) return q1 < q2 ;
	if( r1 == 0 || r2 == 0 ) return r1 == 0 && r2 > 0 ;
 
	return isLess(den2, r2, den1, r1 ) ;
}
 
ll getNum( Line t, int id )
{
	return den[id] * ( t.p1.y*t.p2.x - t.p1.x*t.p2.y ) ;
}
 
ll getDen(Line t, int id )
{
	return den[id] * ( t.p1.y - t.p2.y ) - num[id] * (t.p1.x-t.p2.x ) ;
}
 
struct Seg
{
	Line tree[MAX*4] ;
	
	int m(int l, int r ) { return (l+r)>>1 ; }
 
	void addLine(int pos, int l, int r, int beg, int en, Line t )
	{
 
		if( l > en || r < beg ) return ;
		if( l >= beg && r <= en )
		{
			if( tree[pos].p1 == Point(0,0) ) return (void)(tree[pos] = t ) ; 
 
			 
			vector<bool> ok ;
 
			for(auto e : {l , r } ) 
			{
				ll num1 = getNum(tree[pos], e) ;
				ll den1 = getDen(tree[pos], e ) ;
				ll num2 = getNum(t, e ) ;
				ll den2 = getDen(t, e ) ;
				
				if(den1 < 0 ) num1 = -num1 , den1 = -den1 ;
				if( den2 < 0 ) num2 = -num2, den2 = -den2 ;
 
				if( tree[pos].p1.x == tree[pos].p2.x ) num1 = tree[pos].p1.x, den1 = 1LL ;
				if(t.p1.x == t.p2.x ) num2 = t.p1.x , den2 = 1LL ;
 
				ok.push_back( isLess(num1, den1, num2, den2 ) )  ;
 
			}
 
			if( !ok[0] && !ok[1] ) tree[pos] = t ;
 
			return ; 
		}
 
		addLine(pos<<1 , l , m(l,r) , beg, en, t ) ;
		addLine(pos<<1|1, m(l,r)+1, r, beg, en, t ) ;
 
	}
 
	bool qry(int pos, int l, int r, int x, Point p )
	{
 
		ll val1 = (tree[pos].p2 - tree[pos].p1)%(p-tree[pos].p1) ;
		ll val2 = (tree[pos].p2-tree[pos].p1)%(Point(0,0)-tree[pos].p1 ) ;
 
		if( tree[pos].p1 != p && tree[pos].p2 != p && tree[pos].p1 != Point(0,0) && (val1 < 0 ) != (val2 < 0)  )
			return false ;
 
		if( l == r ) return true ;
 
		if( x <= m(l,r) ) return qry(pos<<1 , l , m(l,r), x, p ) ;
		return qry(pos<<1|1, m(l,r)+1, r, x, p ) ;
 
	}
 
} seg ;
 
int main()
{
 
	scanf("%d", &N ) ;
 
	vector<Point> p(N) ;
	vector< pair<Point, int> > sorted ;
 
	for(int i = 0 ; i < N ; i++ ) 
	{
		p[i].read() ;
		sorted.push_back( make_pair(p[i], i ) ) ;
	}
 
 	sort(all(sorted), [&]( pair<Point,int> a, pair<Point,int> b ) 
	{
		if( a.first%b.first == 0 ) return (b.first-a.first)*(Point(0,0)-a.first ) < 0 ;
		return a.first%b.first > 0 ;	
	} ) ; 
 
	int j = -1 ;
	for(int i = 0 ; i < N ; i++ ) 
	{
	   if(!i || sorted[i-1].first%sorted[i].first != 0 ) j++ ;
	   		
		myId[ sorted[i].second ] = j ;
 
		num[j] = sorted[i].first.y ;
		den[j] = sorted[i].first.x ;
	}
 
	 
 
	for(int i = 0 , nxt = 1 ; i < N ; i++, nxt++ )
	{
		if(nxt ==  N ) nxt = 0 ;
 
		int l = myId[i] , r = myId[nxt] ;
 
		if( l > r ) swap(l,r) ;
 
		if(l != r ) 
			seg.addLine(1, 0 , j, l,r, Line( p[i], p[nxt] ) ) ;  
	} 
 
	 
 
	 
 
	vector<int> ans ;
	for(int i=0 ; i < N ; i++ )
	{
		if(i && sorted[i-1].first%sorted[i].first == 0 ) continue ;
		if(seg.qry(1,0,j, myId[ sorted[i].second ] , sorted[i].first )) ans.push_back(sorted[i].second ) ;
	}
 
	sort(all(ans) ) ;
 
	printf("%d\n", sz(ans ) ) ;
	for(auto e : ans ) printf("%d ", e+1 ) ;
	printf("\n") ;
 
 
}

#undef sz
#undef lp
#undef all
#undef sz
#undef debug
#undef lp
#undef pb
#undef ff
#undef ss
#undef mk
#undef pii
#undef ll
#undef all

inline void FASTIO::ignore() {
  if(REMAINING_CHARACTER == true) REMAINING_CHARACTER = false; else READ_CHARACTER = getchar();
}

inline void FASTIO::flush() {
  fflush(stdout);
}

// cin modifications

template <typename T>
inline bool FASTIO::READ_INT(T &x) {
  x = 0; T sig = 1;
  if(!REMAINING_CHARACTER) READ_CHARACTER = getchar(), REMAINING_CHARACTER = true; else REMAINING_CHARACTER = false;
  while (!isdigit(READ_CHARACTER) && READ_CHARACTER != EOF) sig = (READ_CHARACTER == '-' ? -sig : sig), READ_CHARACTER = getchar();
  if(READ_CHARACTER == EOF) return REMAINING_CHARACTER = false, false;
  while (isdigit(READ_CHARACTER)) x = x * 10 + READ_CHARACTER - '0', READ_CHARACTER = getchar();
  x *= sig; REMAINING_CHARACTER = true;
  return true;
}

template <typename T>
inline bool FASTIO::READ_STRING(T &x) {
  x = "";
  if(!REMAINING_CHARACTER) READ_CHARACTER = getchar(), REMAINING_CHARACTER = true; else REMAINING_CHARACTER = false;
  while ((READ_CHARACTER == '\n' || READ_CHARACTER == '\t' || READ_CHARACTER == ' ')) READ_CHARACTER = getchar();
  if(READ_CHARACTER == EOF) return REMAINING_CHARACTER = false, false;
  while ((READ_CHARACTER != '\n' && READ_CHARACTER != '\t' && READ_CHARACTER != ' ' && READ_CHARACTER != EOF)) x += READ_CHARACTER, READ_CHARACTER = getchar();
  REMAINING_CHARACTER = true;
  return true;
}

inline bool FASTIO::READ_GETLINE(std::string &x) {
  x = "";
  if(!REMAINING_CHARACTER) READ_CHARACTER = getchar(), REMAINING_CHARACTER = true; else REMAINING_CHARACTER = false;
  if(READ_CHARACTER == EOF) return REMAINING_CHARACTER = false, false;
  while ((READ_CHARACTER != '\n' && READ_CHARACTER != EOF)) x += READ_CHARACTER, READ_CHARACTER = getchar();
  REMAINING_CHARACTER = false;
  return true;
}

template <typename T>
inline bool FASTIO::READ_CHAR(T &x) {
  if(!REMAINING_CHARACTER) READ_CHARACTER = getchar(), REMAINING_CHARACTER = true; else REMAINING_CHARACTER = false;
  if(READ_CHARACTER == EOF) return REMAINING_CHARACTER = false, false;
  while ((READ_CHARACTER == '\n' || READ_CHARACTER == '\t' || READ_CHARACTER == ' ')) READ_CHARACTER = getchar();
  x = READ_CHARACTER; REMAINING_CHARACTER = false;
  return true;
}


template<size_t N>
inline bool FASTIO::READ_CHAR_ARRAY(char (&x)[N]) {
  if(!REMAINING_CHARACTER) READ_CHARACTER = getchar(), REMAINING_CHARACTER = true; else REMAINING_CHARACTER = false;
  while ((READ_CHARACTER == '\n' || READ_CHARACTER == '\t' || READ_CHARACTER == ' ')) READ_CHARACTER = getchar();
  if(READ_CHARACTER == EOF) return REMAINING_CHARACTER = false, false;
  char *ptr = &x[0];
  while ((READ_CHARACTER != '\n' && READ_CHARACTER != '\t' && READ_CHARACTER != ' ' && READ_CHARACTER != EOF)) *ptr++ = READ_CHARACTER, READ_CHARACTER = getchar();
  *ptr = '\0', REMAINING_CHARACTER = true;
  return true;
}

inline bool FASTIO::READ_CHAR_ARRAY(char*& x) {
  std::string y;
  if(READ_STRING(y) == false)
    return false;
  x = new char[(int)y.size() + 1];
  strcpy(x, y.c_str());
  return true;
}

template <typename T>
inline bool FASTIO::READ_FLOAT(T &x) {
  return (scanf("%f", &x) != EOF);
}

template <typename T>
inline bool FASTIO::READ_DOUBLE(T &x) {
  double y;
  if(scanf("%lf", &y) == EOF) return false;
  x = y;
  return true;
}

template<std::size_t N>
inline bool FASTIO::READ_BITSET(std::bitset<N> &x) {
  if(!REMAINING_CHARACTER) READ_CHARACTER = getchar(), REMAINING_CHARACTER = true; else REMAINING_CHARACTER = false;
  while ((READ_CHARACTER == '\n' || READ_CHARACTER == '\t' || READ_CHARACTER == ' ')) READ_CHARACTER = getchar();
  if(READ_CHARACTER == EOF) return REMAINING_CHARACTER = false, false;
  int i = 0; REMAINING_CHARACTER = true;
  while (READ_CHARACTER == '0' || READ_CHARACTER == '1') x[i++] = READ_CHARACTER - '0', READ_CHARACTER = getchar();
  return true;
}

inline bool FASTIO::READ_VAR(short int &x) {
  return READ_INT(x);    
}

inline bool FASTIO::READ_VAR(int &x) {
  return READ_INT(x);    
}

inline bool FASTIO::READ_VAR(long int &x) {
  return READ_INT(x);    
}

inline bool FASTIO::READ_VAR(long long int &x) {
  return READ_INT(x);    
}

inline bool FASTIO::READ_VAR(unsigned short int &x) {
  return READ_INT(x);    
}

inline bool FASTIO::READ_VAR(unsigned int &x) {
  return READ_INT(x);    
}

inline bool FASTIO::READ_VAR(unsigned long &x) {
  return READ_INT(x);    
}

inline bool FASTIO::READ_VAR(unsigned long long &x) {
  return READ_INT(x);    
}

inline bool FASTIO::READ_VAR(std::string &x) {
  return READ_STRING(x);    
}

inline bool FASTIO::READ_VAR(char &x) {
  return READ_CHAR(x);
}

template<size_t N>
inline bool FASTIO::READ_VAR(char (&x)[N]) {
  return READ_CHAR_ARRAY(x);
}

inline bool FASTIO::READ_VAR(char*& x) {
  return READ_CHAR_ARRAY(x);
}

inline bool FASTIO::READ_VAR(float &x) {
  return READ_FLOAT(x);
}

inline bool FASTIO::READ_VAR(double &x) {
  return READ_DOUBLE(x);
}

inline bool FASTIO::READ_VAR(long double &x) {
  return READ_DOUBLE(x);
}

template<std::size_t N>
inline bool FASTIO::READ_VAR(std::bitset<N> &x) {
  return READ_BITSET(x);
}

// cout modifications

template <typename T>
inline void FASTIO::WRITE_INT(T x) {
  if (x < 0) {putchar('-'); x = -x; }
  char writeBuffer[20], *writePtr = writeBuffer;
  do {
    *writePtr++ = '0' + x % 10;
    x /= 10;
  }
  while (x);
  do  { putchar(*--writePtr); }
  while (writePtr > writeBuffer);
}

inline void FASTIO::WRITE_CHAR(char x) {
  putchar(x);
}

inline void FASTIO::WRITE_CHAR_ARRAY(const char *x) {
  while(*x != '\0')
    putchar(*x++);
}

inline void FASTIO::WRITE_STRING(std::string &x) {
  for(char c: x) 
    putchar(c);
}

inline void FASTIO::WRITE_FLOAT(float x) {
  printf("%f", x);
}

template <typename T>
inline void FASTIO::WRITE_DOUBLE(T x) {
  printf("%lf", (double)x);
}

template<std::size_t N>
inline void FASTIO::WRITE_BITSET(std::bitset<N> &x) {
  for(int i = (int)x.size() - 1; i >= 0; i--)
    putchar(x[i] + 48);
}

inline void FASTIO::WRITE_VAR(bool x) {
  WRITE_INT(x);
}

inline void FASTIO::WRITE_VAR(short int x) {
  WRITE_INT(x);    
}

inline void FASTIO::WRITE_VAR(int x) {
  WRITE_INT(x);    
}

inline void FASTIO::WRITE_VAR(long int x) {
  WRITE_INT(x);    
}

inline void FASTIO::WRITE_VAR(long long int x) {
  WRITE_INT(x);    
}

inline void FASTIO::WRITE_VAR(unsigned short int x) {
  WRITE_INT(x);    
}

inline void FASTIO::WRITE_VAR(unsigned int x) {
  WRITE_INT(x);    
}

inline void FASTIO::WRITE_VAR(unsigned long x) {
  WRITE_INT(x);    
}

inline void FASTIO::WRITE_VAR(unsigned long long x) {
  WRITE_INT(x);    
}

inline void FASTIO::WRITE_VAR(std::string &x) {
  WRITE_STRING(x);    
}

inline void FASTIO::WRITE_VAR(char x) {
  WRITE_CHAR(x);
}

inline void FASTIO::WRITE_VAR(const char *x) {
  WRITE_CHAR_ARRAY(x);
}

inline void FASTIO::WRITE_VAR(float x) {
  WRITE_FLOAT(x);
}

inline void FASTIO::WRITE_VAR(double x) {
  WRITE_DOUBLE(x);
}

inline void FASTIO::WRITE_VAR(long double x) {
  WRITE_DOUBLE(x);
}

template<std::size_t N>
inline void FASTIO::WRITE_VAR(std::bitset<N> &x) {
  WRITE_BITSET(x);
}  

Compilation message (stderr)

circuit.cpp:37: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
   37 | #pragma GCC optimization ("O3")
      | 
circuit.cpp:38: warning: ignoring #pragma GCC optimization [-Wunknown-pragmas]
   38 | #pragma GCC optimization ("unroll-loops")
      | 
circuit.cpp: In instantiation of 'void FASTIO::WRITE_INT(T) [with T = bool]':
circuit.cpp:453:14:   required from here
circuit.cpp:412:9: warning: comparison of constant '0' with boolean expression is always false [-Wbool-compare]
  412 |   if (x < 0) {putchar('-'); x = -x; }
      |       ~~^~~
circuit.cpp: In function 'int main()':
circuit.cpp:172:7: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
  172 |  scanf("%d", &N ) ;
      |  ~~~~~^~~~~~~~~~~
circuit.cpp: In member function 'void Point::read()':
circuit.cpp:70:24: warning: ignoring return value of 'int scanf(const char*, ...)', declared with attribute warn_unused_result [-Wunused-result]
   70 |     void read() { scanf("%lld %lld", &x, &y) ; }
      |                   ~~~~~^~~~~~~~~~~~~~~~~~~~~

• Subtask 1: 75 / 100