Coderfocers-551C
Professor GukiZ is concerned about making his way to school, because massive piles of boxes are blocking his way.
In total there are n piles of boxes, arranged in a line, from left to right, i-th pile (1 ≤ i ≤ n) containing ai boxes.
Luckily, m students are willing to help GukiZ by removing all the boxes from his way. Students are working simultaneously. At time0, all students are located left of the first pile. It takes
one second for every student to move from this position to the first pile, and after that, every student must start performing sequence of two possible operations, each taking one second to complete. Possible operations are:
- If i ≠ n, move from pile i to pile i + 1;
- If pile located at the position of student is not empty, remove one box from it.
GukiZ's students aren't smart at all, so they need you to tell them how to remove boxes before professor comes (he is very impatient man, and doesn't want to wait). They ask you to calculate minumum time t in seconds
for which they can remove all the boxes from GukiZ's way. Note that students can be positioned in any manner aftert seconds, but all the boxes must be removed.
Input
The first line contains two integers n and m (1 ≤ n, m ≤ 105), the number of piles of boxes and the
number of GukiZ's students.
The second line contains n integers a1, a2, ... an (0 ≤ ai ≤ 109)
where ai represents the number of boxes on i-th pile. It's guaranteed that at least one pile of is non-empty.
Output
In a single line, print one number, minimum time needed to remove all the boxes in seconds.
Example
2 1
1 1
4
3 2
1 0 2
5
4 100
3 4 5 4
5
Note
First sample: Student will first move to the first pile (1 second), then remove box from first pile (1 second), then move to the second pile (1 second) and finally
remove the box from second pile (1 second).
Second sample: One of optimal solutions is to send one student to remove a box from the first pile and a box from the third pile, and send another student to remove a box from the third pile. Overall, 5 seconds.
Third sample: With a lot of available students, send three of them to remove boxes from the first pile, four of them to remove boxes from the second pile, five of them to remove boxes from the third pile, and four of them to remove boxes from the fourth
pile. Process will be over in 5 seconds, when removing the boxes from the last pile is finished.
题意:在坐标上任意位置有任意的箱子,现在有M个人,每个人都有两个选择,如果该位置有箱子就搬箱子,要么就移动到下一个位置,这两个过程都花费1秒。求把所有箱子都移走所用的最下时间;
题解;用二分法对时间二分,判断是否可以移完所有箱子,直到找到恰好可以移走完所有箱子的时间,即为最短时间。
AC代码为:
#include<cstdio>
#include<iostream>
#include<cmath>
using namespace std;
const int mod = 1e9 + 7;
int n, m, tot;
long long a[100005];
int f(long long x)
{
long long s=0,num=m;
for(int i=1;i<=tot;i++)
{
s+=a[i];
while(s+i>=x)
{
s-=x-i;
num--;
if(num<0)
return 0;
}
}
if (num == 0) return s <= 0;
return 1;
}
int main()
{
long long sum,left,mid,right,ans,flag;
while(~scanf("%d%d",&n,&m))
{
sum=0;
for(int i=1;i<=n;i++)
{
scanf("%lld",a+i);
sum+=a[i];
if(a[i])
tot=i;
}
ans=sum+tot;
left=tot,right=ans;
while(left<=right)
{
mid=(left+right)>>1;
if(f(mid))
{
flag=mid;
right=mid-1;
}
else
left=mid+1;
}
printf("%lld\n",flag);
}
return 0;
}
Coderfocers-551C的更多相关文章
- Codeforces 551C GukiZ hates Boxes(二分)
Problem C. GukiZ hates Boxes Solution: 假设最后一个非零的位置为K,所有位置上的和为S 那么答案的范围在[K+1,K+S]. 二分这个答案ans,然后对每个人尽量 ...
- Codeforces 551C GukiZ hates Boxes 二分答案
题目链接 题意: 一共同拥有n个空地(是一个数轴,从x=1 到 x=n),每一个空地上有a[i]块石头 有m个学生 目标是删除全部石头 一開始全部学生都站在 x=0的地方 每秒钟每一个学生都 ...
- CodeForces - 551C 二分+贪心
题意:有n个箱子形成的堆,现在有m个学生,每个学生每一秒可以有两种操作: 1: 向右移动一格 2: 移除当前位置的一个箱子 求移除所有箱子需要的最短时间.注意:所有学生可以同时行动. 思路:二分时间, ...
- CodeForces 551C - GukiZ hates Boxes - [二分+贪心]
题目链接:http://codeforces.com/problemset/problem/551/C time limit per test 2 seconds memory limit per t ...
- 二分+贪心 || CodeForces 551C GukiZ hates Boxes
N堆石头排成一列,每堆有Ai个石子.有M个学生来将所有石头搬走.一开始所有学生都在原点, 每秒钟每个学生都可以在原地搬走一块石头,或者向前移动一格距离,求搬走所有石头的最短时间. *解法:二分答案x( ...
- 【24.67%】【codeforces 551C】 GukiZ hates Boxes
time limit per test2 seconds memory limit per test256 megabytes inputstandard input outputstandard o ...
- usb.ids
# # List of USB ID's # # Maintained by Vojtech Pavlik <vojtech@suse.cz> # If you have any new ...
- 设备管理 USB ID
发现个USB ID站点,对于做设备管理识别的小伙伴特别实用 http://www.linux-usb.org/usb.ids 附录: # # List of USB ID's # # Maintain ...
- sp_configure命令开启组件Agent XPs,数据库计划(Maintenance Plan)
新建“计划(Maintenance Plan)”时,记得执行计划需把SQL的“代理服务(SQL Server Agent)”也开启 出现对话框:“SQL Server 阻止了对组件 'Agent XP ...
- WPF复杂形状按钮
方法很简单,将图片转换为<path>就可以了(需要用到Photoshop) 不过一般情况下制作按钮都不会用到这种方法,通常只要用image填充一张图片或者把路径转成按钮控件就可以了. 之所 ...
随机推荐
- CMDB连接方式
1.agent agent (放在每台客户端服务器上,定时任务) 脚本演示 # 采集本机的信息 执行命令 import subprocess v1 = subprocess.getoutput('ip ...
- 比较一下inner join(可直接简写为join)和where直接关联
SELECT * FROM A ,B WHERE A.ID = B.ID 是比较常用的2个表关联.之前一直用这个,后来换了家公司发现这家公司的报表大多数都是用inner join,稍微研究了一下.查阅 ...
- Mybatis批量事务处理
/** * 批量提交数据 * @param sqlSessionFactory * @param mybatisSQLId SQL语句在Mapper XML文件中的ID * @param commit ...
- PHP 核心特性 - 命名空间
提出 在命名空间提出之前,不同的组件很容易碰到命名的冲突,例如 Request .Response 等常见的命名.PHP 在 5.3 后提出了命名空间用来解决组件之间的命名冲突问题,主要参考了文件系统 ...
- [笔记]IDEA使用笔记
1.IDEA的目录结构 2.所有的源文件都必须写在src文件夹下, 3.输入psvm再按回车,就会生成主函数: 4.输入sout就会生成输出语句的格式: 5.ALT+4 调出上次运行的结果出来看看 ...
- hdu 1083 Courses (最大匹配)
CoursesTime Limit: 20000/10000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Su ...
- JVM浅谈
**前言** 由于先前也遇到过一些性能问题,OOM算是其中的一大类了.因此也对jvm产生了一些兴趣.自己对jvm略做了些研究.后续继续补充. **从oom引申出去** 既然说到oom,首先需要知道oo ...
- 小白学 Python 爬虫(5):前置准备(四)数据库基础
人生苦短,我用 Python 前文传送门: 小白学 Python 爬虫(1):开篇 小白学 Python 爬虫(2):前置准备(一)基本类库的安装 小白学 Python 爬虫(3):前置准备(二)Li ...
- linux关闭不必要的用户
#!/bin/bash for user in $( cat /etc/passwd | grep -v root | cut -d ":" -f 1 ) do str=(adm ...
- wincap linux部署
1.4.1 linux下安装Winpcap a) 下载Winpcap的源码:https://www.winpcap.org/devel.htm b) 上传源码包“WpcapSrc_4_1_3.zip” ...