Time Limit: 2 Seconds      Memory Limit: 65536 KB Edward has a permutation {a1, a2, … an}. He finds that if he connects each pair (ai, aj) such that i < j and ai > aj, he will get a graph. For example, if the permutation is {2, 3, 1, 4}, then 1 and…

题目链接 ZOJ3874 题意简述: 在一个序列中,两点间如果有边,当且仅当两点为逆序对 给定一个序列的联通情况,求方案数对\(786433\)取模 题解 自己弄了一个晚上终于弄出来了 首先\(yy\)一下发现一个很重要的性质: 联通块内的点编号必须是连续的 证明: 假设一个联通块编号不连续,设\(a\),\(b\)分别为联通块左侧和联通块右侧中的一个点,\(x\)为\(a\),\(b\)之间不在该联通块内的点 那么显然有\(a > b\),\(a < x\),\(x < b\) 即\(…

最近在看几道整体二分还有cdq分治的东西,突然间想起前几个礼拜的ZOJ题,然后看了一下代码,经过了一些深思熟虑之后,发现自己终于看懂了,下面就用别人的代码来剖析一下整个解题的思路吧,具体的内容我再看看. 首先要解决这个问题需要有一些卷积的知识,或者说是多项式乘法,一个很典型的多项式乘法的东东就是FFT,然后原来在数论意义下(即mod P)的意义下,也有相应的NTT(快速数论变换),思想是和FFT一致的,不过在这里原根稍微不一样,而且也不用去管复数,当然我是不会懂的,下面抄个链接: NTT(快速数…

Permutation Graph Time Limit: 2 Seconds      Memory Limit: 65536 KB Edward has a permutation {a1, a2, … an}. He finds that if he connects each pair (ai, aj) such that i < j and ai > aj, he will get a graph. For example, if the permutation is {2, 3,…

发现每一块一定是按照一定的顺序的. 然后与标号无关,并且相同大小的对答案的影响相同. 然后列出递推式,上NTT+分治就可以了. 然后就可以与输入同阶处理答案了. #include <map> #include <cmath> #include <queue> #include <cstdio> #include <cstring> #include <iostream> #include <algorithm> using…

题面:vjudge传送门 ZOJ传送门 题目大意:给你一个排列,如果两个数构成了逆序对,就在他们之间连一条无向边,这样很多数会构成一个联通块.现在给出联通块内点的编号,求所有可能的排列数 推来推去容易发现性质,同一联通块内的点一定是连续标号的,否则无解 然后我就不会了 好神的$NTT$优化$DP$啊 根据上面的性质,联通块之间是互不影响的,所以我们对每个联通块分别统计答案再相乘 定义$f[i]$表示$i$个点构成的合法联通块,可能的排列数 一个合法联通块的所有元素一定在同一联通块内,说明不可能存…

Floor Function Time Limit: 10 Seconds      Memory Limit: 65536 KB a, b, c and d are all positive integers which satisfy bc - ad > 0. Your task is to minimize the following function of a positive integer n. ⌊x⌋, the floor function, means the largest i…

D. Bubble Sort Graph time limit per test 1 second memory limit per test 256 megabytes input standard input output standard output Iahub recently has learned Bubble Sort, an algorithm that is used to sort a permutation with n elements a1, a2, ..., an …

转载请注明出处: http://www.cnblogs.com/fraud/          ——by fraud  Bubble Sort Graph Iahub recently has learned Bubble Sort, an algorithm that is used to sort a permutation with n elements a1, a2, ..., an in ascending order. He is bored of this so simple al…

In this problem, we will define a graph called star graph, and the question is to find the minimum distance between two given nodes in the star graph. Given an integer nnn, an n−dimensionaln-dimensionaln−dimensional star graph, also referred to as Sn…

1. Jump Game Given an array of non-negative integers, you are initially positioned at the first index of the array. Each element in the array represents your maximum jump length at that position. Determine if you are able to reach the last index. For…

In this problem, we will define a graph called star graph, and the question is to find the minimum distance between two given nodes in the star graph. Given an integer nn, an n-dimensionaln−dimensionalstar graph, also referred to as S_{n}S​n​​, is an…

1. 文献信息 题目: Learning Combinatorial Embedding Networks for Deep Graph Matching(基于图嵌入的深度图匹配) 作者:上海交通大学研究团队(Runzhong Wang ,Junchi Yan,Xiaokang Yang) 期刊:ICCV 2019 注:此篇论文篇幅较长,其中涉及图匹配等问题,为方便阅读,保留了较多关键信息. 2. 背景 这篇论文聚焦于计算机视觉领域一项历久弥新的问题:图匹配问题.在计算机视觉中,图匹配旨在利用图…

1 简介 本文着眼于对Weisfeiler-Lehman算法(WL Test)和WL-GNN模型的分析,针对于WL测试以及WL-GNN所不能解决的环形跳跃连接图(circulant skip link graph)进行研究,并提出了一种基于相对池化的方法,有助于GNN学习到结点之间的相对关系,该方法可以较好地融入到较为通用的神经网络模型中(如CNN.RNN等),使得WL-GNN具有更强大的表征能力. 2 准备知识 2.1 WL Test及其问题 Weisfeiler-Lehman如下所示: 对于…

Paper Information Title:<How Powerful are Graph Neural Networks?>Authors:Keyulu Xu, Weihua Hu, J. Leskovec, S. JegelkaSources:2019, ICLRPaper:DownloadCode:DownloadOthers:2421 Citations, 45 References Abstract GNN 目前主流的做法是递归迭代聚合一阶邻域表征来更新节点表征,如 GCN 和…

论文信息 论文标题:Accurate Learning of Graph Representations with Graph Multiset Pooling论文作者:Jinheon Baek, Minki Kang, Sung Ju Hwang论文来源:2021, ICLR论文地址:download 论文代码:download 1 Introduction 图池化存在的问题:获得的图表示需进一步使用池化函数将一组节点表示映射为紧凑的形式.对所有节点表示的简单求和或平均都平等地考虑所有节点特征…

论文信息 论文标题:Bilinear Graph Neural Network with Neighbor Interactions论文作者:Hongmin Zhu, Fuli Feng, Xiangnan He, Xiang Wang, Yan Li, Kai Zheng, Yongdong Zhang论文来源:2019, NeurIPS论文地址:download 论文代码:download 1 Introduction GNNs 中的图卷积操作可以认为是对目标节点的邻居特征线性聚合(加权和)…

论文信息 论文标题:Structural Entropy Guided Graph Hierarchical Pooling论文作者:Junran Wu, Xueyuan Chen, Ke Xu, Shangzhe Li论文来源:2022,ICLR论文地址:download 论文代码:download 1 Introduction 之前池化的方法大多是 固定比例的池化 或者 基于逐步池化设计的.本文针对上述问题,设计了 SEP 模型,具体来说,在不分配特定于层的压缩配额的情况下,设计了一种全局优…

TimeWall is a graph databases github It be used to apply mathematic model and social network with graph algorithms and so on... Features: 1. C/S structure 2. compute in memory 3. dynamic add and remove nodes on the graph db 4. with lots of algorithms…

Source: Connected Brain Figure above: Bullmore E, Sporns O. Complex brain networks: graph theoretical analysis of structural and functional systems.[J]. Nature Reviews Neuroscience, 2009, 10(3):186-198. Graph measures A graph G consisting of a set of…

Destroying The Graph Time Limit: 2000MS   Memory Limit: 65536K Total Submissions: 8198   Accepted: 2635   Special Judge Description Alice and Bob play the following game. First, Alice draws some directed graph with N vertices and M arcs. After that B…

The set [1,2,3,-,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…

Given n nodes labeled from 0 to n - 1 and a list of undirected edges (each edge is a pair of nodes), write a function to find the number of connected components in an undirected graph. Example 1: 0          3 |          | 1 --- 2    4 Given n = 5 and…

Given a string s, return all the palindromic permutations (without duplicates) of it. Return an empty list if no palindromic permutation could be form. For example: Given s = "aabb", return ["abba", "baab"]. Given s = "a…

Given a string, determine if a permutation of the string could form a palindrome. For example,"code" -> False, "aab" -> True, "carerac" -> True. Hint: Consider the palindromes of odd vs even length. What difference d…

Given n nodes labeled from 0 to n - 1 and a list of undirected edges (each edge is a pair of nodes), write a function to check whether these edges make up a valid tree. For example: Given n = 5 and edges = [[0, 1], [0, 2], [0, 3], [1, 4]], return tru…

Clone an undirected graph. Each node in the graph contains a label and a list of its neighbors. OJ's undirected graph serialization: Nodes are labeled uniquely. We use # as a separator for each node, and , as a separator for node label and each neigh…

The set [1,2,3,…,n] contains a total of n! unique permutations. By listing and labeling all of the permutations in order,We get the following sequence (ie, for n = 3): "123" "132" "213" "231" "312" "3…

Implement next permutation, which rearranges numbers into the lexicographically next greater permutation of numbers. If such arrangement is not possible, it must rearrange it as the lowest possible order (ie, sorted in ascending order). The replaceme…

Influence maximization on big social graph Fanju PPT链接: social influence booming of online social network 一, Application:viral marketing 1, identify influence customers: seeds. 2, convince them to adopter product. other application: Rumor monitoring…