传送门:【COGS】1752. [BOI2007]摩基亚Mokia
题目分析:cdq分治的基本运用。
代码如下:
#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 l , m #define rson m + 1 , r #define root 1 , 1 , cnt #define mid ( ( l + r ) >> 1 ) const int MAXN = 200005 ; struct Node { int x1 , x2 , y , f , idx ; Node () {} Node ( int x1 , int x2 , int y , int f , int idx ) : x1 ( x1 ) , x2 ( x2 ) , y ( y ) , f ( f ) , idx ( idx ) {} bool operator < ( const Node& a ) const { if ( y != a.y ) return y < a.y ; return idx < a.idx ; } } ; Node q[MAXN << 1] , s1[MAXN << 1] , s2[MAXN << 1] ; int m ; int a[MAXN << 1] , cnt ; int T[MAXN << 1] ; int ans[MAXN] , query ; 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 ; } 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 ( int l , int r ) { if ( r <= l ) return ; int m = mid , top1 = 0 , top2 = 0 , j = 0 ; cdq ( lson ) ; cdq ( rson ) ; For ( i , m + 1 , r ) if ( q[i].idx ) s1[top1 ++] = q[i] ; For ( i , l , m ) if ( !q[i].idx ) s2[top2 ++] = q[i] ; sort ( s1 , s1 + top1 ) ; sort ( s2 , s2 + top2 ) ; rep ( i , 0 , top1 ) { while ( j < top2 && s2[j].y <= s1[i].y ) { add ( s2[j].x1 , s2[j].f ) ; ++ j ; } ans[s1[i].idx] += s1[i].f * sum ( s1[i].x2 ) ; ans[s1[i].idx] -= s1[i].f * sum ( s1[i].x1 - 1 ) ; } rep ( i , 0 , j ) add ( s2[i].x1 , -s2[i].f ) ; } void scanf ( int& x , char c = 0 ) { while ( ( c = getchar () ) < '0' ) ; x = c - '0' ; while ( ( c = getchar () ) >= '0' ) x = ( x << 1 ) + ( x << 3 ) + c - '0' ; } void solve () { int op , x1 , y1 , x2 , y2 , w ; m = cnt = query = 0 ; while ( 1 ) { scanf ( "%d" , &op ) ; if ( op == 3 ) break ; if ( op == 1 ) { scanf ( "%d%d%d" , &x1 , &y1 , &w ) ; q[++ m] = Node ( x1 , x1 , y1 , w , 0 ) ; a[++ cnt] = x1 ; } else { scanf ( "%d%d%d%d" , &x1 , &y1 , &x2 , &y2 ) ; q[++ m] = Node ( x1 , x2 , y2 , 1 , ++ query ) ; q[++ m] = Node ( x1 , x2 , y1 - 1 , -1 , query ) ; a[++ cnt] = x2 ; a[++ cnt] = x1 - 1 ; } } cnt = unique ( cnt ) ; For ( i , 1 , m ) { if ( !q[i].idx ) q[i].x1 = hash ( q[i].x1 ) ; else { q[i].x1 = hash ( q[i].x1 - 1 ) + 1 ; q[i].x2 = hash ( q[i].x2 ) ; } } cdq ( 1 , m ) ; For ( i , 1 , query ) printf ( "%d\n" , ans[i] ) ; } int main () { freopen ( "mokia.in" , "r" , stdin ) ; freopen ( "mokia.out" , "w" , stdout ) ; while ( ~scanf ( "%*d%d" , &n ) ) solve () ; return 0 ; }