1631

/*
最长上升子序列

经典的 nlog(n)解法,二分
*/

// include file
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <cmath>
#include <cctype>
#include <ctime>

#include <iostream>
#include <sstream>
#include <fstream>
#include <iomanip>
#include <bitset>

#include <algorithm>
#include <string>
#include <vector>
#include <queue>
#include <set>
#include <list>
#include <functional>

using namespace std;

// typedef
typedef __int64 LL;

// 
#define read freopen("in.txt","r",stdin)
#define write freopen("out.txt","w",stdout)

#define Z(a,b) ((a)<<(b))
#define Y(a,b) ((a)>>(b))

const double eps = 1e-6;
const double INFf = 1e100;
const int INFi = 1000000000;
const LL INFll = (LL)1<<62;
const double Pi = acos(-1.0);

template<class T> inline T sqr(T a){return a*a;}
template<class T> inline T TMAX(T x,T y)
{
	if(x>y) return x;
	return y;
}
template<class T> inline T TMIN(T x,T y)
{
	if(x<y) return x;
	return y;
}
template<class T> inline T MMAX(T x,T y,T z)
{
	return TMAX(TMAX(x,y),z);
}
template<class T> inline T MMIN(T x,T y,T z)
{
	return TMIN(TMIN(x,y),z);
}
template<class T> inline void SWAP(T &x,T &y)
{
	T t = x;
	x = y;
	y = t;
}


// code begin
int T;
int N;
int A[40010];
int stk[40010],top;

int main()
{
	read;
	write;
	int l,r,mid;
	scanf("%d",&T);
	while(T--)
	{
		scanf("%d",&N);
		for(int i=0;i<N;i++)
		{
			scanf("%d",A+i);
		}
		top = 0;
		stk[top++] = A[0];
		for(int i=1;i<N;i++)
		{
			l = 0;
			r = top;
			while(l<r)
			{
				mid = (l+r)/2;
				if(A[i]==stk[mid])
				{
					l = mid;
					break;
				}
				if(A[i]>stk[mid])
				{
					l = mid+1;
				}
				else
				{
					r = mid;
				}
			}
			
			if(l==top)
				stk[top++] = A[i];
			else
				stk[l] = A[i];
			//printf("[%d %d] ",l,top);
		}
		printf("%d\n",top);
	}
	return 0;
}
posted @ 2011-04-17 22:35  AC2012  阅读(219)  评论(0编辑  收藏  举报