poj2456-Aggressive cows

Farmer John has built a new long barn, with N (2 <= N <= 100,000) stalls. The stalls are located along a straight line at positions x1,...,xN (0 <= xi <= 1,000,000,000).

His C (2 <= C <= N) cows don't like this barn layout and become aggressive towards each other once put into a stall. To prevent the cows from hurting each other, FJ want to assign the cows to the stalls, such that the minimum distance between any two of them is as large as possible. What is the largest minimum distance?

Input

* Line 1: Two space-separated integers: N and C 

* Lines 2..N+1: Line i+1 contains an integer stall location, xi

Output

* Line 1: One integer: the largest minimum distance

Sample Input

5 3
1
2
8
4
9

Sample Output

3

Hint

OUTPUT DETAILS: 

FJ can put his 3 cows in the stalls at positions 1, 4 and 8, resulting in a minimum distance of 3. 

Huge input data,scanf is recommended.

题意：在坐标轴上选取N个坐标，然后从中随意选取C个点，求相邻两点最近距离的最大值。

题解：就是最小值最大化；

AC代码为：

#include<iostream>
#include<cstdio>
#include<algorithm>


using namespace std;


int main()
{
int N,C,left,right,mid;

cin>>N>>C;

int a[100005];

for(int i=0;i<N;i++)
{
cin>>a[i];
}

sort(a,a+N);

left=1,right=a[N-1];

while(right>left+1)
{

mid=(left+right)/2;

int cns=0; 

for(int i=0;i<N;)
{
int x=i;
while(a[++i]-a[x]<mid);
cns++;
}
if(cns>=C)
{
left=mid;
}
else
{
right=mid;
}

}

if(left!=right)
{
int cns=0;

for(int i=0;i<N;)
{
int t=i;

while(a[++i]-a[t]<right);
cns++;
}

if(cns>=C)
left=right;
}

printf("%d ",left);

return 0;
}