比赛 |
4043级NOIP2022欢乐赛7th |
评测结果 |
C |
题目名称 |
愤怒的奶牛 |
最终得分 |
0 |
用户昵称 |
ZRQ |
运行时间 |
0.000 s |
代码语言 |
C++ |
内存使用 |
0.00 MiB |
提交时间 |
2022-11-20 11:33:28 |
显示代码纯文本
#include<bits/stdc++.h>
#define ll long long
#define inf 0x3f3f3f3f
using namespace std;
const int N=550000;
int n;
double l[N],r[N];
double a[N];
void pre()
{
l[1]=0;
for(int i=2;i<=n;i++)
{
l[i]=inf;
int low=1,high=i;
while(low+1<high)
{
int mid=(low+high)/2;
if(l[mid-1]+1<a[i]-a[mid-1]) low=mid;
else high=mid;
}
l[i]=min(max(a[i]-a[low-1],l[low-1]+1),max(a[i]-a[high-1],l[high-1]+1));
}
r[n]=0;
for(int i=n-1;i>=1;i--)
{
r[i]=inf;
int low=i,high=n;
while(low+1<high)
{
int mid=(low+high)/2;
if(r[mid+1]+1<a[mid+1]-a[i]) high=mid;
else low=mid;
}
r[i]=min(max(a[low+1]-a[i],r[low+1]+1),max(a[high+1]-a[i],r[high+1]+1));
}
}
bool ifok(double x)
{
for(int i=n;i>=1;i--)
{
if(l[i]+1<=x)
{
for(int j=1;j<=n&&a[j]<=a[i]+2*x;j++)
{
if(r[j]+1<=x) return true;
}
break;
}
}
return false;
}
int main()
{
freopen("angry.in","r",stdin);
freopen("angry.out","w",stdout)
scanf("%d",&n);
for(int i=1;i<=n;i++)
{
scanf("%lf",&a[i]);
}
sort(a+1,a+1+n);
pre();
double low=1,high=a[n];
while(high-low>0.01)
{
double mid=(low+high)/2;
if(ifok(mid)) high=mid;
else low=mid;
}
printf("%.1f\n",low);
return 0;
}