Farmer John's farm consists of a long row of N (1 <= N <= 100,000)fields. Each field contains a certain number of cows, 1 <= ncows <= 2000. FJ wants to build a fence around a contiguous group of these fields in order to maximize the average nu…

依然是学习分析方法的一道题 求一个长度为n的序列中的一个平均值最大且长度不小于L的子段,输出最大平均值 最值问题可二分,从而转变为判定性问题:是否存在长度大于等于L且平均值大于等于mid的字段和 每个数与mid作差再转变为求非负子段 子段和问题应该利用前缀和C,长度大于等于L的字段和最大值可表示为 max{Aj+1 + Aj+2 ... + Ai},i-j+1-1>=L,j+1>=1 等价于 max{Ci-min{Cj}},L<=i<=n,0<=j<=i-L 注意是i=…

Best Cow Fences Time Limit: 1000MS Memory Limit: 30000K Total Submissions: 14601 Accepted: 4720 Description Farmer John's farm consists of a long row of N (1 <= N <= 100,000)fields. Each field contains a certain number of cows, 1 <= ncows <= 2…

Best Cow Fences Time Limit: 1000MS Memory Limit: 30000K Description Farmer John's farm consists of a long row of N (1 <= N <= 100,000)fields. Each field contains a certain number of cows, 1 <= ncows <= 2000. FJ wants to build a fence around a…

Best Cow Fences Time Limit: 1000MS Memory Limit: 30000K Total Submissions: 10174 Accepted: 3294 Description Farmer John's farm consists of a long row of N (1 <= N <= 100,000)fields. Each field contains a certain number of cows, 1 <= ncows <= 2…

题目 #10012 「一本通 1.2 例 2」Best Cow Fences 解析 有序列\(\{a_i\}\),设\([l,r]\)上的平均值为\(\bar{x}\),有\(\sum_{i=l}^r(a_i-\bar{x})=0\) 这样我们就可以通过二分平均值, 先同减二分到的平均值,若存在一段区间的和大于等于0,说明这段区间的平均值大于等于二分值,上调边界,否则下调边界 只需要枚举右端点\(r\),判断\(sum[r]-sum[l-1]>=0(1\leq l\leq r - m + 1)\…

Best Cow Fences 二分答案 + 前缀和 个人认为题意没有表述清楚,本题要求的是满足题意的连续子序列(难度大大降低了有木有). 本题的精度也是非常令人陶醉,请您自行体会吧! #include <iostream> #include <cstdio> #include <algorithm> using namespace std; //Mystery_Sky // #define M 10000100 #define ex 1e-5 double l = 1…

1434:[例题2]Best Cow Fences 时间限制: 1000 ms         内存限制: 65536 KB提交数: 263     通过数: 146 [题目描述] 给定一个长度为n的正整数序列A.求一个平均数最大的,长度不小于L的子序列. [输入] 第一行,n和L: n个正整数,表示A. [输出] 一个整数,表示答案的1000倍(不用四舍五入,直接输出). [输入样例] 10 6 6 4 2 10 3 8 5 9 4 1 [输出样例] 6500 [提示] n ≤ 10000 思…

题目链接:https://vjudge.net/problem/POJ-2018 Best Cow Fences Time Limit: 1000MS   Memory Limit: 30000K Total Submissions: 11394   Accepted: 3736 Description Farmer John's farm consists of a long row of N (1 <= N <= 100,000)fields. Each field contains a…

题目链接:http://poj.org/problem?id=2018 题目给了一些农场,每个农场有一定数量的奶牛,农场依次排列,问选择至少连续排列F个农场的序列,使这些农场的奶牛平均数量最大,求最大数量*1000/农场的个数. 思路:题目是求是否存在一个长度不小于F的子段,使得平均数最大. 1.用二分法从给定数据的最小平均数到最大平均数进行二分枚举,每次枚举的平均值为mid,那么子段的每一个元素减去mid值再求和应当大于0,否则不满足题意,这样可以不断地二分,最终找到最大的mid值 2.判断子…