POJ 3579 Median 二分加判断】的更多相关文章

Median Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 12453   Accepted: 4357 Description Given N numbers, X1, X2, ... , XN, let us calculate the difference of every pair of numbers: ∣Xi - Xj∣ (1 ≤ i < j ≤ N). We can get C(N,2) differenc…
                                                                                                     Median Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 7423   Accepted: 2538 Description Given N numbers, X1, X2, ... , XN, let us calcu…
Median Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 5118   Accepted: 1641 Description Given N numbers, X1, X2, ... , XN, let us calculate the difference of every pair of numbers: ∣Xi - Xj∣ (1 ≤ i < j ≤ N). We can get C(N,2)differences…
[题目链接] http://poj.org/problem?id=3579 [题目大意] 给出一个数列,求两两差值绝对值的中位数. [题解] 因为如果直接计算中位数的话,数量过于庞大,难以有效计算, 所以考虑二分答案,对于假定的数据,判断是否能成为中位数 此外还要使得答案尽可能小,因为最小的满足是中位数的答案,才会是原差值数列中出现过的数 对于判定是不是差值的中位数的过程,我们用尺取法实现. 对于差值类的题目,还应注意考虑边界,即数列只有一位数的情况. [代码] #include <cstdio…
Median Time Limit: 1000MS Memory Limit: 65536K Total Submissions: 11599 Accepted: 4112 Description Given N numbers, X1, X2, ... , XN, let us calculate the difference of every pair of numbers: ∣Xi - Xj∣ (1 ≤ i < j ≤ N). We can get C(N,2) differences t…
<题目链接> 题目大意: 给出 N个数,对于存有每两个数的差值的序列求中位数,如果这个序列长度为偶数个元素,就取中间偏小的作为中位数. 解题分析: 由于本题n达到了1e5,所以将这些数之间的差值全部求出来显然是不可行的,这里用的是二分答案.先通过二分,假设枚举出的答案为mid,即,这些数字差值绝对值的中位数为mid.然后我们在通过二分查找,对每一个数字,查找它后面的所有满足与它的差值小于等于mid的数的个数,即查找所有差值小于等于mid的对数.因为中位数所在的编号很容易求得,为 (n*(n-1…
Description Given N numbers, X1, X2, ... , XN, let us calculate the difference of every pair of numbers: ∣Xi - Xj∣ ( ≤ i < j ≤ N). We can ) differences through this work, and now your task is to find the median of the differences as quickly as you ca…
Median Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 3866   Accepted: 1130 Description Given N numbers, X1, X2, ... , XN, let us calculate the difference of every pair of numbers: ∣Xi - Xj∣ (1 ≤ i < j ≤ N). We can get C(N,2) difference…
Median Time Limit: 1000MS   Memory Limit: 65536K Total Submissions: 7687   Accepted: 2637 Description Given N numbers, X1, X2, ... , XN, let us calculate the difference of every pair of numbers: ∣Xi - Xj∣ (1 ≤ i < j ≤ N). We can get C(N,2) difference…
POJ 3579 题意 双重二分搜索:对列数X计算∣Xi – Xj∣组成新数列的中位数 思路 对X排序后,与X_i的差大于mid(也就是某个数大于X_i + mid)的那些数的个数如果小于N / 2的话,说明mid太大了.以此为条件进行第一重二分搜索,第二重二分搜索是对X的搜索,直接用lower_bound实现. #include <iostream> #include <algorithm> #include <cstdio> #include <cmath&g…