题目 Source http://acm.hdu.edu.cn/showproblem.php?pid=4888 Description Alice and Bob are playing together. Alice is crazy about art and she has visited many museums around the world. She has a good memory and she can remember all drawings she has seen.…

hdu4888 Redraw Beautiful Drawings Time Limit: 3000/1500 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Total Submission(s): 2007    Accepted Submission(s): 447 Problem Description Alice and Bob are playing together. Alice is crazy abou…

Redraw Beautiful Drawings Time Limit: 3000/1500 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others) Problem Description Alice and Bob are playing together. Alice is crazy about art and she has visited many museums around the world. She has…

pid=4888">http://acm.hdu.edu.cn/showproblem.php?pid=4888 加入一个源点与汇点,建图例如以下: 1. 源点 -> 每一行相应的点,流量限制为该行的和 2. 每一行相应的点 -> 每一列相应的点,流量限制为 K 3. 每一列相应的点 -> 汇点,流量限制为该列的和 求一遍最大流,若最大流与矩阵之和相等,说明有解,否则无解.推断唯一解,是推断残量网络中是否存在一个长度大于2的环.若存在说明有多解,否则有唯一解,解就是每条边…

题目链接:http://acm.hdu.edu.cn/showproblem.php?pid=4888 题意:给一个矩阵没行的和和每列的和,问能否还原矩阵,如果可以还原解是否唯一,若唯一输出该矩阵. 思路:设一个源点和汇点,每行的和和源点加边,权值为该行的和,每列的和和汇点加点,权值为该列的和. 每行和每列加边, 权值为k,跑最大流,如果满流(从源点流出的等于流入汇点的)则证明可以还原该矩阵.   判断是否有多节,就dfs搜,看残余网络中是否有环,无环则解唯一. AC代码: #include<i…

好难好难,将行列当成X和Y,源汇点连接各自的X,Y集,容量为行列的和,相当于从源点流向每一行,然后分配流量给每一列,最后流入汇点,这样执意要推断最后是否满流,就知道有没有解,而解就是每一行流向每一列多少流量. 关键在于怎么推断多解的情况.我想不到啊T_T 题讲解,找到一个长度大于2的环. 想了一想,也就是找到还有剩余流量的环,假设找到了,我就能够把当中一条边的流量转移,由于是一个环,所以它又会达到平衡,不会破坏最大流,可是这样转移后,解就多了一种,所以仅仅要推断是否有一个长度大于2的环就够了.…

14更多学校的第二个问题 网络流量   分别以行,列作为结点建图 i行表示的结点到j列表示的结点的流量便是(i, j)的值 跑遍最大流   若满流了便是有解   推断是否unique  就是在残余网络中dfs.走能够添加流量的边,找到环即不唯一 dfs的时候一定要回溯!! .. . #include <cstdio> #include <ctime> #include <cstdlib> #include <cstring> #include <que…

最小割最大流定理的内容: 对于一个网络流图 $G=(V,E)$,其中有源点和汇点,那么下面三个条件是等价的: 流$f$是图$G$的最大流 残量网络$G_f$不存在增广路 对于$G$的某一个割$(S,T)$,此时流的流量等于其容量 证明如下: 首先证明$1\rightarrow2$: 正确性显然, 然后证明$2\rightarrow3$: 假设残留网络$G_f$不存在增广路,所以在残留网络$G_f$中不存在路径从$s$到达$t$.我们定义$S$集合为:当前残留网络中$s$能够到达的点.同时定义$T…

Redraw Beautiful Drawings Time Limit: 3000/1500 MS (Java/Others) Memory Limit: 65536/65536 K (Java/Others)Total Submission(s): 2909 Accepted Submission(s): 942 Problem Description Alice and Bob are playing together. Alice is crazy about art and she h…

Problem Description Alice and Bob are playing together. Alice is crazy about art and she has visited many museums around the world. She has a good memory and she can remember all drawings she has seen. Today Alice designs a game using these drawings…