Educational Codeforces Round 11 C. Hard Process 二分
C. Hard Process
题目连接:
http://www.codeforces.com/contest/660/problem/C
Description
You are given an array a with n elements. Each element of a is either 0 or 1.
Let's denote the length of the longest subsegment of consecutive elements in a, consisting of only numbers one, as f(a). You can change no more than k zeroes to ones to maximize f(a).
Input
The first line contains two integers n and k (1 ≤ n ≤ 3·105, 0 ≤ k ≤ n) — the number of elements in a and the parameter k.
The second line contains n integers ai (0 ≤ ai ≤ 1) — the elements of a.
Output
On the first line print a non-negative integer z — the maximal value of f(a) after no more than k changes of zeroes to ones.
On the second line print n integers aj — the elements of the array a after the changes.
If there are multiple answers, you can print any one of them.
Sample Input
7 1
1 0 0 1 1 0 1
Sample Output
4
1 0 0 1 1 1 1
Hint
题意
你有n个非0就是1的数字,你可以修改最多k个,使得0变成1
然后问你修改之后,最长的连续1的串是多长?
题解:
维护一个前缀0的个数
然后对于每个位置,直接暴力二分就好了,二分这个位置最远能够延展到哪儿
代码
#include<bits/stdc++.h>
using namespace std;
const int maxn = 1e6;
int n,k;
int a[maxn],sum[maxn];
int main()
{
scanf("%d%d",&n,&k);
for(int i=1;i<=n;i++)
{
scanf("%d",&a[i]);
a[i]=1-a[i];
}
for(int i=1;i<=n;i++)
sum[i]=sum[i-1]+a[i];
int ans1=0,ans2=0;
for(int i=1;i<=n;i++)
{
int l = i,r = n,ans=0;
while(l<=r)
{
int mid=(l+r)/2;
if(sum[mid]-sum[i-1]>k)r=mid-1;
else l=mid+1,ans=mid-i+1;
}
if(ans>ans1)
{
ans1=ans;
ans2=i;
}
}
cout<<ans1<<endl;
for(int i=ans2;i<=n;i++)
{
if(ans1==0)break;
if(a[i]==1)a[i]=0;
if(a[i]==0)ans1--;
}
for(int i=1;i<=n;i++)
cout<<1-a[i]<<" ";
}
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