답안 #349584

# 제출 시각 아이디 문제 언어 결과 실행 시간 메모리
349584 2021-01-17T21:23:46 Z CaroLinda Printed Circuit Board (CEOI12_circuit) C++
85 / 100
100 ms 31240 KB
#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 optimize("Ofast")
#pragma GCC target("avx,avx2,fma") 
#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+5 ;
 
using namespace std ;
 
char c ;
void readInt(int &num)
{
	num = 0 ;
	for(c = getchar() ; (c > 47 && c <58 ) ; c = getchar() )
		num = num*10 + c - 48 ;
}
 
void readLong(ll &num ) 
{
	num = 0 ;
	for(c = getchar() ; (c> 47 && c < 58 ) ; c = getchar() )
		num = num*10 + c - 48 ;
}
 
int N ;
int myId[MAX] ;
double 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 ; 
	double cte ;
	Line( Point p1 = Point(0,0) , Point p2 = Point(0,0) ) : p1(p1) , p2(p2) {} 
} t ;
 
  
double  dx , dy ;
 
double num1, num2, den1, den2 , auxDx ,auxDy ;
 
struct Seg
{
 
	Line tree[MAX*2] ;
	int n ;
	int l[MAX*2], r[MAX*2] ;
 
	void ini()
	{
		for(int i= n ; i < 2*n ; i++ ) l[i] = r[i] = i - n ;
 
		for(int i= n-1 ; i > 0 ; i-- )
		{
			l[i] = min(l[i<<1], l[i<<1|1] ) ;
			r[i] = max(r[i<<1], r[i<<1|1] ) ;
		}
 
	}
 
	void upd(int pos )
	{
		if( tree[pos].p1 == Point(0,0) ) return (void)(tree[pos] = t ) ; 
			 
		auxDx = (tree[pos].p1.x - tree[pos].p2.x ) ;
		auxDy = (tree[pos].p1.y - tree[pos].p2.y ) ;
 
		for(auto e : {l[pos] , r[pos] } ) 
		{
			num1 = den[e] * tree[pos].cte ;
			den1 = den[e] * auxDy - num[e] * auxDx ;
			num2 = den[e] * t.cte ;
			den2 = den[e] * dy - num[e] * dx ;
 
			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 ;
 
			if( (num1/den1) < (num2/den2) ) return ;
 
		}
		tree[pos] = t ;
 
	}
 
	void addLine(int l, int r )
	{
		dy = ( t.p1.y - t.p2.y ) ;
		dx = (t.p1.x-t.p2.x ) ;
 
		for( l += n , r += n ; l < r ; l >>= 1 , r >>= 1 )
		{
			if(l&1) 
			{
				upd(l) ;
				l++ ;
			}
			if(r&1) upd(--r) ;
		}			
	}
 
	bool qry(int pos, Point p )
	{
		for(pos += n ; pos > 0 ; pos >>= 1 )
		{
			if( tree[pos].p1 == Point(0,0) || tree[pos].p1 == p || tree[pos].p2 == p ) continue ;	
 
			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( (val1 < 0 ) != (val2 < 0)  ) return false ;
			
		}
 
		return true ;
	}
  
} seg ;
 
int main()
{
 
	readInt(N) ;
		 
	vector<Point> p(N) ;
	vector< pair<Point, int> > sorted ;
 
	for(int i = 0 ; i < N ; i++ ) 
	{
		readLong(p[i].x ) ;
		readLong(p[i].y ) ;
		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 ;
	}
 
   seg.n = j+1 ;
	seg.ini() ;		
 
	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 ) continue ;
		if( l > r ) swap(l,r) ;
 
      t.p1 = p[i] ;
      t.p2 = p[nxt] ;
      t.cte = ( t.p1.y*t.p2.x - t.p1.x*t.p2.y ) ;
 
		seg.addLine(l,r+1 ) ;  
 
	} 
 
 
	 
 
	vector<int> ans ;
	for(int i=0 ; i < N ; i++ )
	{
		if(i && sorted[i-1].first%sorted[i].first == 0 ) continue ;
		if(seg.qry(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

circuit.cpp: In instantiation of 'void FASTIO::WRITE_INT(T) [with T = bool]':
circuit.cpp:466:14:   required from here
circuit.cpp:425:9: warning: comparison of constant '0' with boolean expression is always false [-Wbool-compare]
  425 |   if (x < 0) {putchar('-'); x = -x; }
      |       ~~^~~
# 결과 실행 시간 메모리 Grader output
1 Correct 10 ms 15980 KB Output is correct
2 Correct 11 ms 16108 KB Output is correct
3 Correct 12 ms 16364 KB Output is correct
4 Correct 14 ms 16364 KB Output is correct
5 Correct 16 ms 16872 KB Output is correct
6 Correct 16 ms 16872 KB Output is correct
7 Correct 22 ms 17636 KB Output is correct
8 Correct 15 ms 16688 KB Output is correct
9 Correct 15 ms 16744 KB Output is correct
10 Correct 16 ms 16872 KB Output is correct
11 Correct 17 ms 17000 KB Output is correct
12 Correct 22 ms 17636 KB Output is correct
13 Correct 29 ms 18404 KB Output is correct
14 Correct 28 ms 19040 KB Output is correct
15 Correct 32 ms 19808 KB Output is correct
16 Correct 56 ms 23516 KB Output is correct
17 Correct 84 ms 23516 KB Output is correct
18 Execution timed out 101 ms 31240 KB Time limit exceeded
19 Execution timed out 101 ms 30928 KB Time limit exceeded
20 Execution timed out 180 ms 30928 KB Time limit exceeded