题目链接:http://poj.org/problem?id=3662 Telephone Lines Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 8248   Accepted: 2977 Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncoopera…

Telephone Lines Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 6785   Accepted: 2498 Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of…

Telephone Lines Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 7214   Accepted: 2638 Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of…

这道题其实是分层图,但和裸的分层图不太一样.因为它只要求路径总权值为路径上最大一条路径的权值,但仔细考虑,这同时也满足一个贪心的性质,那就是当你每次用路径总权值小的方案来更新,那么可以保证新的路径权值尽量小. 所以这道题在不删边的情况下可以使用Dij来跑,而删边权的情况就是分层图. 所以就拿分层图来搞好了^_^. 由于这个数据p和k都比较大,所以直接建k+1层图是要爆的,而k+1层图边都一样,我们就用dis[层数(0-k)]来表示. 具体的就是每次Dij转移是要分两种情况: 1.在原层跑,也就是…

意甲冠军: 到n节点无向图,它要求从一个线1至n路径.你可以让他们在k无条,的最大值.如今要求花费的最小值. 思路: 这道题能够首先想到二分枚举路径上的最大值,我认为用spfa更简洁一些.spfa的本质是一种搜索算法,既然是搜索,就涉及到状态的转移. 在一般求最短路的spfa算法中,当到结点u时,对e(u,v)仅仅需做例如以下转移:if(d[v]>d[u]+w(e)) d[v]=d[u]+w(e).在跟一般的情况下.到结点u,对e(u,v)需做多种转移.比方这题中要考虑让e免费和不让e免费两种情…

Telephone Lines Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 7115   Accepted: 2603 Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of…

Telephone Lines Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 6973   Accepted: 2554 Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of…

Telephone Lines Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 5696   Accepted: 2071 Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of…

Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of the cables required to connect his farm to the phone system. There are N ( ≤ N ≤ ,) forlorn teleph…

[题目链接] http://poj.org/problem?id=3662 [题目大意] 给出点,给出两点之间连线的长度,有k次免费连线, 要求从起点连到终点,所用的费用为免费连线外的最长的长度. 求最小费用. [题解] 二分答案,对于大于二分答案的边权置为1,小于等于的置为0, 则最短路就是超出二分答案的线数,如果小于等于k,则答案是合法的 [代码] #include <cstdio> #include <cstring> using namespace std; const i…

Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of the cables required to connect his farm to the phone system. There are N (1 ≤ N ≤ 1,000) forlorn telephone pol…

<题目链接> 题目大意: 在一个节点标号为1~n的无向图中,求出一条1~n的路径,使得路径上的第K+1条边的边权最小. 解题分析:直接考虑情况比较多,所以我们采用二分答案,先二分枚举第K+1条路的边权,然后根据枚举的边权,重新建图.因为john只需要支付除K条边之后权值最大的边,所以对于所有边权小于等于枚举边的,将其边权置为0,对于那些大于枚举边权的边,边权则置为1,这样,对1~n跑最短路,就能够用于判断枚举的答案是否成立.因为建的是边权为0.1的图求最短路,所以也可以用双端队列实现的BFS求…

题意:一张带权无向图中,有K条边可以免费修建.现在要修建一条从点1到点N的路,费用是除掉免费的K条边外,权值最大的那条边的值,求最小花费. 分析:假设存在一个临界值X,小于X的边全部免费,那么此时由大于等于X的边组成的图,从点1到点N走过的边数小于等于K,那么这个X就是所求的答案.所以可以通过二分答案的方法求解该问题,每一次根据mid值跑迪杰斯特拉,d[i]记录路径长度(走过边的数目).需要注意的是,要特判一下点1到点N本身不连通的情况以及花费为0的情况.二分的时候,当d[N]>K时修改答案为m…

查看题目 最小化第K大值. 让我怀疑人生的一题目,我有这么笨? #include <cstdio> #include <queue> #include <cstring> #include <vector> #include <functional> using namespace std; #define maxv 1010 #define maxl 1000000 struct edge { int to, cost; edge(){} ed…

题意 Farmer John想从电话公司修一些电缆连接到他农场.已知N个电线杆编号为1,2,⋯N,其中1号已经连接电话公司,N号为农场,有P对电线杆可连接. 现给出P对电线杆距离Ai,Bi,Li表示Ai和Bi可连接,需要长度为Li的电缆. 电话公司赞助FJ K条免费电缆,额外的支出为剩下所需电缆的最大长度.求出最小费用. 思路 设mid为某条线的长度,长于mid的线放到免费额度里,否则自己掏钱.如果存在一个临界值x,使得长于x的电线数量恰好等于K,这个临界值对应的解就是最优解.如何计算长于mid…

题意: 多年以后,笨笨长大了,成为了电话线布置师.由于地震使得某市的电话线全部损坏,笨笨是负责接到震中市的负责人. 该市周围分布着N(1<=N<=1000)根据1……n顺序编号的废弃的电话线杆,任意两根线杆之间没有电话线连接,一共有p(1<=p<=10000)对电话杆可以拉电话线. 其他的由于地震使得无法连接. 第i对电线杆的两个端点分别是ai,bi,它们的距离为li(1<=li<=1000000).数据中每对(ai,bi)只出现一次.编号为1的电话杆已经接入了全国的电…

题意:有N个独立点,其中有P对可用电缆相连的点,要使点1与点N连通,在K条电缆免费的情况下,问剩下的电缆中,长度最大的电缆可能的最小值为多少. 分析: 1.二分临界线(符合的情况的点在右边),找可能的最小值,假设为mid. 2.将大于mid的边变为1,小于等于mid的边变为0(表示这些边由自己承包),由此算出1~N的最短路长度为x.x即为所用的大于mid的电缆个数. 3.若x<=K,则符合情况,但是想让所用的免费电缆条数x更多,所以让mid更小一些,这样自己承包的边也减少,x将更大,即r = m…

Telephone Lines Time Limit: 1000MS Memory Limit: 65536K Total Submissions: 7978 Accepted: 2885 Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of the…

http://poj.org/problem?id=3662 Telephone Lines Time Limit: 1000MS   Memory Limit: 65536K Total Submissions:9310   Accepted: 3374 Description Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative,…

这道题目有两种解法: 1.将每个点视为一个二元组(x,p),表示从起点到x有p条路径免费,相当于构建了一张分层图,N*k个节点,P*k条边.在这张图上用优先队列优化的SPFA算法求解,注意这里的d数组存的不是最短路径,而是路径中边权最大的值,最终答案就是min(d[n][j]),0<=j<=k . 1 #include<bits/stdc++.h> 2 using namespace std; 3 const int N=1005,M=20005; 4 int head[N],to…

任意门:http://poj.org/problem?id=3635 Full Tank? Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 8388   Accepted: 2734 Description After going through the receipts from your car trip through Europe this summer, you realised that the gas pri…

### POJ 1724 题目链接 ### 题目大意: 给你 N 个点 ,M 条有向路,走每条路需要花费 C 元,这段路的长度为 L . 给你 K 元,问你能否从 1 走到 N 点且花费不超过 K 元.如果可以,输出出最短距离,否则输出 -1 . 显然分层图最短路,这里 dist[i][j] 表示从 1 到 i 点 且 所剩钱数为 j 时的最短路,然后跑一遍 dijkstra 即可. PS:在优先队列先到达 N 点的即为答案,可以直接返回,不需要等队列走完再 O(N)找最小值,时间会很快(这里还…

Telephone Lines bzoj-1614 Usaco-2007Jan 题目大意:给你一个n个点m条边的带边权无向图,求最短路.可以选取k条边免费. 注释:$1\le n\le 10^3$,$1\le m\le 10^5$ 想法:一眼分层图最短路啊! 我都想出来了就上网查一下题解吧 卧槽??二分+spfa?? 其实这个题不用分层图 我们二分答案,二分出最大值,然后将图中所有比mid大的边设为1,小的设为0,然后跑最短路.如果最短路的值比k大,说明最大值一定比二分的mid大.因为我的最短路…

Full Tank? Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 7248   Accepted: 2338 Description After going through the receipts from your car trip through Europe this summer, you realised that the gas prices varied between the cities you v…

题目描述 Farmer John wants to set up a telephone line at his farm. Unfortunately, the phone company is uncooperative, so he needs to pay for some of the cables required to connect his farm to the phone system. There are N (1 ≤ N ≤ 1,000) forlorn telephon…

任意门:https://www.luogu.org/problemnew/show/P2939 Revamping Trails 题目描述 Farmer John dutifully checks on the cows every day. He traverses some of the M (1 <= M <= 50,000) trails conveniently numbered 1..M from pasture 1 all the way out to pasture N (a…

题目 After going through the receipts from your car trip through Europe this summer, you realised that the gas prices varied between the cities you visited. Maybe you could have saved some money if you were a bit more clever about where you filled your…

洛谷 P1948 [USACO08JAN]电话线Telephone Lines https://www.luogu.org/problem/P1948 JDOJ 2556: USACO 2008 Jan Silver 3.Telephone Lines https://neooj.com/oldoj/problem.php?id=2556 题目描述 Farmer John wants to set up a telephone line at his farm. Unfortunately, t…

3627: [JLOI2014]路径规划 Time Limit: 30 Sec  Memory Limit: 128 MBSubmit: 186  Solved: 70[Submit][Status][Discuss] Description 相信大家都用过地图上的路径规划功能,只要输入起点终点就能找出一条最优路线.现在告诉你一张地图的信息,请你找出最优路径(即最短路径).考虑到实际情况,一辆车加满油能开的时间有限,所以在地图上增加了几个加油站. 地图由点和双向边构成,每个点代表一个路口,也有可…

/* 大连热身C题 不要低头,不要放弃,不要气馁,不要慌张 题意: 给一个城市路线图,给定起点给定终点.有n个货物从起点运送到终点.城市的边是无向边. 每个货物每天如果通过某条路,那么这天这条路只能运送这一个货物,另外一个方向也不得运送货物. 问最少需要多少天,使得起点的货物全部运送到终点. 思路: 按照天数将城市节点裂点.即第i天的某个节点. 枚举天数,不断重新构建网络,跑最大流.找到最小的天数使得最大流大于等于n. 看了大神的博客,知道这个东西实际上叫做分层图. */ #include<bi…