[HDU] 5126 stars cdq 분리 세트 cdq 분리 세트 트리 배열

라우터: [HDU] 5126 stars
제목 분석: 입방체 조회를 8개의 조회로 나누어 모든 조작 + 문의를 cdq로 나눈다.
3차원이기 때문에 cdq세트 cdq로 2차원을 해결하고 마지막 2차원은 트리 그룹으로 유지보수합니다.
구체적인 작법은 코드를 보면 간단하고 이해하기 쉽다.
cdq분치는 바로 신이다. 각 층의 cdq분치는 1차원을 하나의 로그로 바꿀 수 있다.
코드는 다음과 같습니다.

#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std ;

typedef long long LL ;

#define rep( i , a , b ) for ( int i = ( a ) ; i <  ( b ) ; ++ i )
#define For( i , a , b ) for ( int i = ( a ) ; i <= ( b ) ; ++ i )
#define rev( i , a , b ) for ( int i = ( a ) ; i >= ( b ) ; -- i )
#define clr( a , x ) memset ( a , x , sizeof a )
#define ls ( o << 1 )
#define rs ( o << 1 | 1 )
#define lson ls , l , m
#define rson rs , m + 1 , r
#define root 1 , 1 , cnt
#define mid ( ( l + r ) >> 1 )

const int MAXN = 50005 ;

struct Node {
	int x , y , z , f , idx ;
	Node () {}
	Node ( int x , int y , int z , int f , int idx ) : x ( x ) , y ( y ) , z ( z ) , f ( f ) , idx ( idx ) {}
} ;

Node q[MAXN * 8] , s1[MAXN * 8] , s2[MAXN * 8] , s[MAXN * 8] ;
int top1 , top2 , top ;
int m ;
int a[MAXN << 1] , cnt ;
int T[MAXN << 1] ;
int ans[MAXN] ;
int n ;

int unique ( int n ) {
	int cnt = 1 ;
	sort ( a + 1 , a + n + 1 ) ;
	For ( i , 2 , n ) if ( a[i] != a[cnt] ) a[++ cnt] = a[i] ;
	return cnt ;
}

int hash ( int x , int l = 1 , int r = cnt ) {
	while ( l < r ) {
		int m = mid ;
		if ( a[m] >= x ) r = m ;
		else l = m + 1 ;
	}
	return l ;
}

bool cmpz ( const Node& a , const Node& b ) {
	if( a.z != b.z ) return a.z < b.z ;
	return a.idx < b.idx ;
}

bool cmpy ( const Node& a , const Node& b ) {
	if ( a.y != b.y ) return a.y < b.y ;
	return a.idx < b.idx ;
}

void add ( int x , int v ) {
	for ( int i = x ; i <= cnt ; i += i & -i ) T[i] += v ;
}

int sum ( int x , int ans = 0 ) {
	for ( int i = x ; i > 0 ; i -= i & -i ) ans += T[i] ;
	return ans ;
}

void cdq_fz2 ( int l , int r ) {
	if ( r <= l ) return ;
	int m = mid ;
	cdq_fz2 ( l , m ) ;
	cdq_fz2 ( m + 1 , r ) ;
	top1 = top2 = 0 ;
	For ( i , l , m ) if ( !s[i].f ) s1[top1 ++] = s[i] ;
	For ( i , m + 1 , r ) if ( s[i].f ) s2[top2 ++] = s[i] ;
	sort ( s1 , s1 + top1 , cmpy ) ;
	sort ( s2 , s2 + top2 , cmpy ) ;
	int j = 0 ;
	rep ( i , 0 , top2 ) {
		while ( j < top1 && s1[j].y <= s2[i].y ) add ( s1[j ++].x , 1 ) ;
		ans[s2[i].idx] += s2[i].f * sum ( s2[i].x ) ;
	}
	rep ( i , 0 , j ) add ( s1[i].x , -1 ) ;;
}

void cdq_fz ( int l , int r ) {
	if ( r <= l ) return ;
	int m = mid ;
	cdq_fz ( l , m ) ;
	cdq_fz ( m + 1 , r ) ;
	int top = 0 ;
	For ( i , l , m ) if ( !q[i].f ) s[top ++] = q[i] ;
	For ( i , m + 1 , r ) if ( q[i].f ) s[top ++] = q[i] ;
	sort ( s , s + top , cmpz ) ;
	cdq_fz2 ( 0 , top - 1 ) ;
}

void solve () {
	int op ;
	int x1 , y1 , z1 ;
	int x2 , y2 , z2 ;
	clr ( T , 0 ) ;
	clr ( ans , 0 ) ;
	cnt = 0 ;
	m = 0 ;
	scanf ( "%d" , &n ) ;
	For ( i , 1 , n ) {
		scanf ( "%d" , &op ) ;
		if ( op == 1 ) {
			scanf ( "%d%d%d" , &x1 , &y1 , &z1 ) ;
			a[++ cnt] = x1 ;
			q[++ m] = Node ( x1 , y1 , z1 , 0 , 0 ) ;
			ans[i] = -1 ;
		} else {
			scanf ( "%d%d%d%d%d%d" , &x1 , &y1 , &z1 , &x2 , &y2 , &z2 ) ;
			q[++ m] = Node ( x2 , y2 , z2 , 1 , i ) ;
			q[++ m] = Node ( x2 , y2 , z1 - 1 , -1 , i ) ;
			q[++ m] = Node ( x1 - 1 , y2 , z2 , -1 , i ) ;
			q[++ m] = Node ( x2 , y1 - 1 , z2 , -1 , i ) ;
			q[++ m] = Node ( x2 , y1 - 1 , z1 - 1 , 1 , i ) ;
			q[++ m] = Node ( x1 - 1 , y2 , z1 - 1 , 1 , i ) ;
			q[++ m] = Node ( x1 - 1 , y1 - 1 , z2 , 1 , i ) ;
			q[++ m] = Node ( x1 - 1 , y1 - 1 , z1 - 1 , -1 , i ) ;
			a[++ cnt] = x2 ;
			a[++ cnt] = x1 - 1 ;
		}
	}
	cnt = unique ( cnt ) ;
	For ( i , 1 , m ) q[i].x = hash ( q[i].x ) ;
	cdq_fz ( 1 , m ) ;
	For ( i , 1 , n ) if ( ~ans[i] ) printf ( "%d
" , ans[i] ) ;
}

int main () {
	int T ;
	scanf ( "%d" , &T ) ;
	while ( T -- ) solve () ;
	return 0 ;
}

--------------------------------update--------------------------------
CDQ 세트, BIT 세트, Treap 코드 하나 주세요.상수가 작아서 큰일이다.
코드는 다음과 같습니다.

#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
using namespace std ;

typedef long long LL ;

#define rep( i , a , b ) for ( int i = ( a ) ; i <  ( b ) ; ++ i )
#define For( i , a , b ) for ( int i = ( a ) ; i <= ( b ) ; ++ i )
#define rev( i , a , b ) for ( int i = ( a ) ; i >= ( b ) ; -- i )
#define clr( a , x ) memset ( a , x , sizeof a )
#define lson l , m
#define rson m + 1 , r
#define mid ( ( l + r ) >> 1 )

const int MAXN = 50005 ;

struct Query {
	int x1 , y1 ;
	int x2 , y2 ;
	int z , f , idx ;
	Query () {}
	Query ( int x1 , int y1 , int x2 , int y2 , int z , int f , int idx ) :
		x1 ( x1 ) , y1 ( y1 ) , x2 ( x2 ) , y2 ( y2 ) , z ( z ) , f ( f ) , idx ( idx ) {}
} ;

struct Node* null ;
struct Node {
	Node* c[2] ;
	int r ;//greater root
	int sum ;
	int v ;
	int key ;

	void newnode ( int x , int value ) {
		r = rand () ;
		key = x ;
		sum = v = value ;
		c[0] = c[1] = null ;
	}

	void push_up () {
		sum = c[0]->sum + v + c[1]->sum ;
	}
} ;


Query opp[MAXN * 2] , s1[MAXN * 2] , s2[MAXN * 2] ;
Node pool[MAXN * 20] ;
Node* cur ;
Node* T[MAXN << 1] ;
int vis[MAXN << 1] , Time ;
int a[MAXN << 1] , cnt ;
int ans[MAXN] ;
int n , m , q ;

void rot ( Node* &o , int d ) {
	Node* ch = o->c[d ^ 1] ;
	o->c[d ^ 1] = ch->c[d] ;
	ch->c[d] = o ;
	o->push_up () ;
	ch->push_up () ;
	o = ch ;
}

void insert ( Node* &o , int x , int v ) {
	if ( o == null ) {
		o = cur ++ ;
		o->newnode ( x , v ) ;
	} else if ( o->key == x ) {
		o->v += v ;
	} else {
		int d = ( o->key < x ) ;
		insert ( o->c[d] , x , v ) ;
		if ( o->c[d]->r > o->r ) rot ( o , d ^ 1 ) ;
	}
	o->push_up () ;
}

int search ( Node* o , int x , int ans = 0 ) {
	while ( o != null ) {
		if ( x < o->key ) {
			o = o->c[0] ;
		} else {
			ans += o->c[0]->sum + o->v ;
			o = o->c[1] ;
		}
	}
	return ans ;
}

int unique ( int n ) {
	int cnt = 1 ;
	sort ( a + 1 , a + n + 1 ) ;
	For ( i , 2 , n ) if ( a[i] != a[cnt] ) a[++ cnt] = a[i] ;
	return cnt ;
}

int hash ( int x , int l = 1 , int r = cnt ) {
	while ( l < r ) {
		int m = mid ;
		if ( a[m] >= x ) r = m ;
		else l = m + 1 ;
	}
	return l ;
}

int cmpz ( const Query& a , const Query& b ) {
	if ( a.z != b.z ) return a.z < b.z ;
	return a.idx < b.idx ;
}

void add ( int x , int y , int v ) {
	for ( int i = x ; i <= cnt ; i += i & -i ) {
		if ( vis[i] != Time ) {
			T[i] = null ;
			vis[i] = Time ;
		}
		insert ( T[i] , y , v ) ;
	}
}

int sum ( int x , int y , int ans = 0 ) {
	for ( int i = x ; i > 0 ; i -= i & -i ) if ( vis[i] == Time ) ans += search ( T[i] , y ) ;
	return ans ;
}

void cdq_fz ( int l , int r ) {
	if ( r <= l ) return ;
	int m = mid , top1 = 0 , top2 = 0 , j = 0 ;
	cdq_fz ( lson ) ;
	cdq_fz ( rson ) ;
	For ( i , m + 1 , r ) if ( opp[i].idx ) s1[top1 ++] = opp[i] ;
	For ( i , l , m ) if ( !opp[i].idx ) s2[top2 ++] = opp[i] ;
	sort ( s1 , s1 + top1 , cmpz ) ;
	sort ( s2 , s2 + top2 , cmpz ) ;
	++ Time ;
	cur = pool + 1 ;
	rep ( i , 0 , top1 ) {
		while ( j < top2 && s2[j].z <= s1[i].z ) {
			add ( s2[j].x2 , s2[j].y2 , s2[j].f ) ;
			++ j ;
		}
		ans[s1[i].idx] += s1[i].f * sum ( s1[i].x2 , s1[i].y2 ) ;
		ans[s1[i].idx] -= s1[i].f * sum ( s1[i].x1 - 1 , s1[i].y2 ) ;
		ans[s1[i].idx] -= s1[i].f * sum ( s1[i].x2 , s1[i].y1 - 1 ) ;
		ans[s1[i].idx] += s1[i].f * sum ( s1[i].x1 - 1 , s1[i].y1 - 1 ) ;
	}
}

void init () {
	m = 0 ;
	cnt = 0 ;
	//srand ( 233333333 ) ;
	cur = pool ;
	null = cur ++ ;
	null->c[0] = null->c[1] = null ;
	null->sum = null->v = null->r = 0 ;
}

void scanf ( int& x , char c = 0 ) {
	while ( ( c = getchar () ) < '0' ) ;
	x = c - '0' ;
	while ( ( c = getchar () ) >= '0' ) x = x * 10 + c - '0' ;
}

void solve () {
	int op , x1 , y1 , z1 , x2 , y2 , z2 ;
	init () ;
	scanf ( n ) ;
	For ( i , 1 , n ) {
		scanf ( "%d" , &op ) ;
		if ( op == 1 ) {
			scanf ( x1 ) ;
			scanf ( y1 ) ;
			scanf ( z1 ) ;
			opp[++ m] = Query ( x1 , y1 , x1 , y1 , z1 , 1 , 0 ) ;
			a[++ cnt] = x1 ;
			ans[i] = -1 ;
		} else {
			scanf ( x1 ) ;
			scanf ( y1 ) ;
			scanf ( z1 ) ;
			scanf ( x2 ) ;
			scanf ( y2 ) ;
			scanf ( z2 ) ;
			opp[++ m] = Query ( x1 , y1 , x2 , y2 , z2 , 1 , i ) ;
			opp[++ m] = Query ( x1 , y1 , x2 , y2 , z1 - 1 , -1 , i ) ;
			a[++ cnt] = x2 ;
			a[++ cnt] = x1 - 1 ;
			ans[i] = 0 ;
		}
	}
	cnt = unique ( cnt ) ;
	For ( i , 1 , m ) {
		if ( !opp[i].idx ) opp[i].x1 = opp[i].x2 = hash ( opp[i].x1 ) ;
		else {
			opp[i].x1 = hash ( opp[i].x1 - 1 ) + 1 ;
			opp[i].x2 = hash ( opp[i].x2 ) ;
		}
	}
	cdq_fz ( 1 , m ) ;
	For ( i , 1 , n ) if ( ~ans[i] ) printf ( "%d
" , ans[i] ) ;
}

int main () {
	int T ;
	Time = 0 ;
	clr ( vis , 0 ) ;
	scanf ( T ) ;
	while ( T -- ) solve () ;
	return 0 ;
}