题意: 给一个数字序列,要求找到LIS,输出其长度. 思路: 扫一遍+二分,复杂度O(nlogn),空间复杂度O(n). 具体方法:增加一个数组,用d[i]表示长度为 i 的递增子序列的最后一个元素,且该元素总是保持当前最小.初始化d[1]=A[i],当前LIS的长度len=1.从 2 to n,若A[i]>d[len],则d[++len]=A[i],否则,在数组d中找到A[i]应该插入的位置,代替掉那个第一个比它大的数字,比如d[k]<A[i]<=d[k+1],直接将A[i]代替掉d[…

题目链接:http://poj.org/problem?id=1631 就是求一个LIS,但是范围太大(n≤40000),无法用常规O(n²)的朴素DP算法,这时需要优化. 新加一个数组s[]来维护长度当LIS的长度为len时候需要的数组a中的最小数字的值,可以证明这个数组是严格单调递增的,因此可以二分确定每次枚举到a[i]的时候,a[i]在这个数组中所处的位置(下标),也就是a[i]数字时此时之前算过的LIS的长度.之后更新s数组和ans即可.对于最长下降自序列此方法同样适用,但是需要注意那时…

Language: Default Bridging signals Time Limit: 1000MS   Memory Limit: 10000K Total Submissions: 10762   Accepted: 5899 Description 'Oh no, they've done it again', cries the chief designer at the Waferland chip factory. Once more the routing designers…

Problem Description 'Oh no, they've done it again', cries the chief designer at the Waferland chip factory. Once more the routing designers have screwed up completely, making the signals on the chip connecting the ports of two functional blocks cross…

把左边固定,看右边,要求线不相交,编号满足单调性,其实是LIS的等价表述. (如果编号是乱的也可以把它有序化就像Uva 10635 Prince and Princess那样 O(nlogn) #include<cstdio> #include<iostream> #include<string> #include<cstring> #include<queue> #include<vector> #include<stack&…

http://acm.hdu.edu.cn/showproblem.php?pid=4507 Problem Description 单身! 依旧单身! 吉哥依旧单身! DS级码农吉哥依旧单身! 所以.他生平最恨情人节,无论是214还是77.他都讨厌! 吉哥观察了214和77这两个数,发现: 2+1+4=7 7+7=7*2 77=7*11 终于,他发现原来这一切归根究竟都是由于和7有关!所以,他如今甚至讨厌一切和7有关的数. 什么样的数和7有关呢? 假设一个整数符合以下3个条件之中的一个.那么我…

HDU 1074 Doing Homework (动态规划,位运算) Description Ignatius has just come back school from the 30th ACM/ICPC. Now he has a lot of homework to do. Every teacher gives him a deadline of handing in the homework. If Ignatius hands in the homework after the d…

HDU 3338 Kakuro Extension (网络流,最大流) Description If you solved problem like this, forget it.Because you need to use a completely different algorithm to solve the following one. Kakuro puzzle is played on a grid of "black" and "white" ce…

HDU 4280 Island Transport(网络流,最大流) Description In the vast waters far far away, there are many islands. People are living on the islands, and all the transport among the islands relies on the ships. You have a transportation company there. Some route…

HDU 6187 Destroy Walls (思维,最大生成树) Destroy Walls *Time Limit: 8000/4000 MS (Java/Others) Memory Limit: 132768/132768 K (Java/Others) Total Submission(s): 1784 Accepted Submission(s): 692 * Problem Description Long times ago, there are beautiful histor…