思路:
权值线段树 (找中位数用的) 记录下出现的次数和sum
一定要注意 有可能中位数的值有许多数 这怎么办呢 (离散化以后不去重就行了嘛…….)
(为什么他们想得那么麻烦)
//By SiriusRen
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
#define N 100500
#define int long long
int n,k,sum[N*10],tree[N*10],xx,ans=100000LL*1000000LL;
struct Node{
int num,pos;
friend bool operator < (Node a,Node b){
if(a.num!=b.num)return a.num<b.num;
return a.pos<b.pos;
}
}node[N],cpy[N];
void insert(int l,int r,int pos,int wei,int num){
if(l==r){
tree[pos]+=wei;
if(tree[pos])sum[pos]=cpy[l].num;
else sum[pos]=0;
return;
}
int mid=(l+r)>>1,lson=pos<<1,rson=pos<<1|1;
if(mid>=num)insert(l,mid,lson,wei,num);
else insert(mid+1,r,rson,wei,num);
tree[pos]=tree[lson]+tree[rson];
sum[pos]=sum[lson]+sum[rson];
}
void query(int l,int r,int pos,int num){
if(l==r){xx=l;return;}
int mid=(l+r)>>1,lson=pos<<1,rson=pos<<1|1;
if(tree[lson]>=num)query(l,mid,lson,num);
else query(mid+1,r,rson,num-tree[lson]);
}
int query_sum(int l,int r,int pos,int L,int R){
if(l>=L&&r<=R)return sum[pos];
int mid=(l+r)>>1,lson=pos<<1,rson=pos<<1|1;
if(mid<L)return query_sum(mid+1,r,rson,L,R);
else if(mid>=R)return query_sum(l,mid,lson,L,R);
else return query_sum(l,mid,lson,L,R)+query_sum(mid+1,r,rson,L,R);
}
signed main(){
scanf("%lld%lld",&n,&k);
for(int i=1;i<=n;i++)
scanf("%lld",&node[i].num),node[i].pos=i,cpy[i]=node[i];
sort(cpy+1,cpy+1+n);
for(int i=1;i<k;i++)
insert(1,n,1,1,lower_bound(cpy+1,cpy+1+n,node[i])-cpy);
for(int i=k;i<=n;i++){
int temp=0;
insert(1,n,1,1,lower_bound(cpy+1,cpy+1+n,node[i])-cpy);
query(1,n,1,k/2+1);
temp=cpy[xx].num*(k/2+1)-query_sum(1,n,1,1,xx);
temp+=query_sum(1,n,1,xx+1,n)-cpy[xx].num*(k-(k/2+1));
ans=min(ans,temp);
insert(1,n,1,-1,lower_bound(cpy+1,cpy+1+n,node[i-k+1])-cpy);
}
printf("%lld
",ans);
}