第十四届华中科技大学程序设计竞赛 K--Walking in the Forest

2023-05-24,,

链接:https://www.nowcoder.com/acm/contest/106/K
来源:牛客网

题目描述

It’s universally acknowledged that there’re innumerable trees in the campus of HUST.

Now you're going to walk through a large forest. There is a path consisting of N stones winding its way to the other side of the forest. Between every two stones there is a distance. Let di indicates the distance between the stone i and i+1.Initially you stand at the first stone, and your target is the N-th stone. You must stand in a stone all the time, and you can stride over arbitrary number of stones in one step. If you stepped from the stone i to the stone j, you stride a span of (di+di+1+...+dj-1). But there is a limitation. You're so tired that you want to walk through the forest in no more than K steps. And to walk more comfortably, you have to minimize the distance of largest step.

输入描述:

The first line contains two integer N and K as described above.
Then the next line N-1 positive integer followed, indicating the distance between two adjacent stone.

输出描述:

An integer, the minimum distance of the largest step.

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输入例子:
6 3
1 3 2 2 5
输出例子:
5

-->

示例1

输入

6 3
1 3 2 2 5

输出

5

题解:
二分答案(好蠢啊)
/*
data:2018.5.22
author:gsw
link:https://www.nowcoder.com/acm/contest/106/K
*/
#define ll long long
#define IO ios::sync_with_stdio(false); #include<math.h>
#include<stdio.h>
#include<string.h>
#include<iostream>
#include<algorithm>
using namespace std;
#define maxn 100005 ll l,r,mid;
int n,k;
ll dis[maxn];
bool judge(ll d)
{
ll tem=;int kk=;
for(int i=;i<n-;i++)
{
if(dis[i]>d)return false;
if(tem+dis[i]>d)
{
tem=dis[i];
kk++;
}
else tem+=dis[i];
}
kk++;
if(kk>k)return false;
return true;
}
int main()
{
l=r=;
scanf("%d%d",&n,&k);
for(int i=;i<n-;i++)
{
scanf("%lld",&dis[i]);
r+=dis[i];
}ll mid=;
while(l<r-)
{
mid=(l+r)>>;
if(judge(mid))r=mid;
else l=mid;
}
printf("%lld\n",r);
return ;
}

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