Given a bench with n seats and few people sitting, tell the seat number each time when a new person goes to sit on the bench such that his distance from others is maximum?

G jia

A few clarifying questions that i would ask:
1. What if the bench is emtpy. Can i return any seat number?
2. What if bench is full. Should i return -1.
3. How big can n be?
4. How many queries are we making?

Algo:
1. Traverse the bench once (saved as array or vector) and populate a max heap based on distance between two occupied seats. For each node in heap have distance, start seat no and end seat no.
2. When a query is made return the seat no as (end seat no - start seat no)/2 for the root node in heap.
3. Replace the root node with one node formed by (end seat no - start seat no)/2 and end seat no and call heapIfY() on heap.
4. insert the seconds node formed by start node no and (end seat no - start seat no)/2 in the heap.

Repeat process from 2 to 4 for each query.

Complexity:
Forming heap: O(n)
For each query: O(log(n))

Arrange seat of a bench for people的更多相关文章

  1. 2018SDIBT_国庆个人第三场

    A - A CodeForces - 1042A There are nn benches in the Berland Central park. It is known that aiai peo ...

  2. CodeForce--Benches

    A. Benches   There are nn benches in the Berland Central park. It is known that aiai people are curr ...

  3. Codeforces Round #510 (Div. 2) A&B By cellur925

    第一次CF祭== 由于太菜了只做了前两题== 因为在第一题上耗费时间太多了,我还是太菜了==. A. Benches time limit per test 1 second memory limit ...

  4. Codeforces Round #460 (Div. 2)-C. Seat Arrangements

    C. Seat Arrangements time limit per test1 second memory limit per test256 megabytes Problem Descript ...

  5. Codeforces 919 C. Seat Arrangements

    C. Seat Arrangements   time limit per test 1 second memory limit per test 256 megabytes input standa ...

  6. codeforces 919C Seat Arrangements 思维模拟

    C. Seat Arrangements time limit per test 1 second memory limit per test 256 megabytes input standard ...

  7. MySQL可视化软件Work Bench导出导入数据库

    首先打开你的work bench,输入你的密码进入主页面 A:导入数据库 在Schemas空白处右键选择Create~:建立一个数据库,然后就可以导入你的sql文件了 File-->Open S ...

  8. bench.sh 跑分测速

    #!/bin/bash #==============================================================# # Description: bench te ...

  9. 通过Measure & Arrange实现UWP瀑布流布局

    简介 在以XAML为主的控件布局体系中,有用于完成布局的核心步骤,分别是measure和arrange.继承体系中由UIElement类提供Measure和Arrange方法,并由其子类Framewo ...

随机推荐

  1. win10 专业版永久密钥

    激活码/密匙: 1.专业版: W269N-WFGWX-YVC9B-4J6C9-T83GXMH37W-N47XK-V7XM9-C7227-GCQG92X7P3-NGJTH-Q9TJF-8XDP9-T83 ...

  2. linux实操_shell读取控制台输入

    基本语法: read [选项] [参数] 选项: -p 指定读取值时的提示符 -t 指定读取值时等待的时间(秒),如果没有在指定的时间内输入,就不再等待了 参数: 变量:指定读取值的变量名 实例1:读 ...

  3. 关于button的onclientclick事件和onclick事件

    利用onclientclick事件在onclick事件之前执行,对用户输入文本进行检查,如果不符合规定则retrun false JS代码 function check() { var aLength ...

  4. 自己编写jQuery插件之表单验证

    自己编写jQuery插件之表单验证 吐个嘈先:最近状态不咋滴,真是什么都不想干,不想上班,做什么都没动力,觉得没意思.不想这样,不想这样,快让这种情绪消失吧,忽忽.... 表单验证在项目中用的还是比较 ...

  5. BZOJ 3589 动态树 (树链剖分+线段树)

    前言 众所周知,90%90\%90%的题目与解法毫无关系. 题意 有一棵有根树,两种操作.一种是子树内每一个点的权值加上一个同一个数,另一种是查询多条路径的并的点权之和. 分析 很容易看出是树链剖分+ ...

  6. Appium自动化测试教程-自学网-安卓模拟器

    安卓模拟器: 夜神模拟器安装配置 下载地址:https://www.yeshen.com 开启VT VT是什么?为什么要开启VT? VT,全称是Virtualization Technology,即是 ...

  7. Mongodb账户管理

    Mongodb账户管理   介绍 Mongodb是一个schema free的非sql类分布式数据库,可以利用它做很多很灵活的存储和操作,最近了解了下它的账户机制,通过设置auth启动方式可以对所有登 ...

  8. PRIMARY KEY,key,unique key

    主键索引(必须指定为“PRIMARY KEY”,没有PRIMARY Index). 唯一索引(unique index,一般写成unique key). 普通索引(index,只有这一种才是纯粹的in ...

  9. vmware 安装 VMwareTools

    mkdir /mnt/cdrom mount /dev/cdrom /mnt/cdrom cd /mnt/cdrom cp VMwareTools-x.x.x-yyyy.tar.gz ~/ cd ~ ...

  10. python 监听键盘事件pyHook

    #coding=utf- import pyHook import pythoncom # 监听到鼠标事件调用 def onMouseEvent(event): if(event.MessageNam ...