题意:给定一些点(xi,yi)(xj,yj)满足:i<j,xi<xj,yi>yj.用下面的连起来,使得所有边的长度最小? 思路:考虑用区间表示,f[i][j]表示将i到j的点连起来的最小代价. 那么f[i][j]=min(f[i][k]+f[k+1][j]+cost(i,j) cost(i,j)=a[k].y-a[j].y+a[k+1].x-a[i].x; 看起来和四边形不等式有关系,我们需要证明以下(a<b<c<d) cost(a,c)+cost(b,d)<=c…

题目链接 贴个教程: 四边形不等式学习笔记 \(Description\) 给出平面上的\(n\)个点,满足\(X_i\)严格单增,\(Y_i\)严格单减.以\(x\)轴和\(y\)轴正方向作边,使这\(n\)个点构成一棵树,最小化树边边的总长. \(Solution\) 考虑有两棵构造好的树,要合并这两棵树,要从右边的树中找一个最优点连到左边的树上 不难想到区间DP(真的想不到==) \(f[i][j]\)表示将\([i,j]\)合并为一棵树的最小代价,那么有 \(f[i][j] = \min…

区间$dp$,四边形优化. #pragma comment(linker, "/STACK:1024000000,1024000000") #include<cstdio> #include<cstring> #include<cmath> #include<algorithm> #include<vector> #include<map> #include<set> #include<queue…

四边形优化DP Tree Construction Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/32768 K (Java/Others) Total Submission(s): 868    Accepted Submission(s): 470 Problem Description Consider a two-dimensional space with a set of points (xi, yi) t…

http://acm.hdu.edu.cn/showproblem.php?pid=3516 题意:平面n个点且满足xi<xj, yi>yj, i<j.xi,yi均为整数.求一棵树边只能向上和向右延展的经过所有点的最小长度.(n<=1000, 0<=xi, yi<=10000) #include <cstdio> using namespace std; const int N=1005, oo=~0u>>1; int d[N][N], x[N]…

原题链接:http://acm.hdu.edu.cn/showproblem.php?pid=3516 题意: 大概就是给你个下凸包的左侧,然后让你用平行于坐标轴的线段构造一棵树,并且这棵树的总曼哈顿距离最短 题解: 很容易得到转移方程: $$dp[i][j]=min \{ dp[i][k-1]+dp[k][j] + dis(uni(i,k-1),uni(k,j))\}$$ 其中$dp[i][j]$表示从$i$到$j$的最优解,$dis(i,j)$表示$i$和$j$之间的曼哈顿距离,$uni(i…

Tree Construction Problem's Link ---------------------------------------------------------------------------- Mean: 给定n个数,按照构造Binary Search Tree的方式来构造BST树,按顺序输出每一个非root结点的父节点的值. analyse: 构造BST树最坏情况下时间复杂度为O(n),肯定会超时. 注意到只需要输出结点的父节点的值,不需要真的构造BST树. 插到第i…

HDU 5813 Elegant Construction(优雅建造) Time Limit: 4000/2000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Description 题目描述 Being an ACMer requires knowledge in many fields, because problems in this contest may use physics, biology, and…

题目链接: D. Tree Construction D. Tree Construction time limit per test 2 seconds memory limit per test 256 megabytes input standard input output standard output During the programming classes Vasya was assigned a difficult problem. However, he doesn't k…

hdu 5909 Tree Cutting 题意:一颗无根树,每个点有权值,连通子树的权值为异或和,求异或和为[0,m)的方案数 \(f[i][j]\)表示子树i中经过i的连通子树异或和为j的方案数 转移类似背包,可以用fwt加速 #include <iostream> #include <cstdio> #include <cstring> #include <algorithm> using namespace std; typedef long lon…