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hdu1025-Constructing Roads In JGShining's Kingdom

http://acm.hdu.edu.cn/showproblem.php?pid=1025

最长上升子序列(长度)

#include<iostream>
#include<cstdio>
#include<cstring>

using namespace std; 
int n ;
const int maxn = 500005 ;
int dp[ maxn ] , a[ maxn ];

int LIS(int n )
{
	int low , len , high , mid ;
	len = 1 ;
	//	mid = ( low + high ) / 2 ;
	dp[ 1 ] = a[ 1 ] ;
	for( int i = 2 ; i <= n ; i++ )
	{
		low = 1 ;
		high = len ;
		while( low <= high )
		{
			mid = ( low + high ) / 2 ;
			if( a[ i ] > dp[ mid ] )
				 low = mid + 1 ;
			else
				high = mid - 1 ;
		}
		dp[ low ] = a[ i ] ;
		if( low > len )
			len = low ;
	}
	return len ;
}
 

int main()
{
	int i , j , n ;	
	int flag = 1 ;
	while( ~scanf( "%d" , &n )  )
	{
		memset( dp , 0 ,sizeof( dp ) ) ;
		memset( a , 0 ,sizeof( a ) ) ;
		for( i = 0 ; i < n ; ++i )
		{
			int x , y ;
			scanf( "%d%d" , &x , &y );
			a[ x ] = y ;
		}
		int ans = LIS( n ) ;
		printf( "Case %d:\n" , flag++ ) ;
		if( ans == 1 )	
			printf( "My king, at most 1 road can be built.\n" ) ;
		else
			printf( "My king, at most %d roads can be built.\n" , ans ) ;
		printf( "\n" ) ;
	}
	return 0  ;
}
           

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