[BZOJ3295][Cqoi2011]动态逆序对(CDQ分治)

可以看错把数字倒着插入,然后做CDQ分治

这题的答案统计十分的权(应该是我太cai了),具体看注释

Code

#include <cstdio>
#include <algorithm>
#define lowbit(x) ((x)&(-x))
#define N 150010
#define ll long long
using namespace std;

struct info{
	int t,x,y;
	info(){}
	info(int a,int b,int c):t(a),x(b),y(c){}
	friend bool operator <(info a,info b){return (a.x==b.x)?a.y<b.y:a.x<b.x;}
}A[N],tmp[N];
int n,mm,pos[N];
ll Ans[N];

inline int read(){
    int x=0,f=1;char ch=getchar();
    while(ch<'0'||ch>'9'){if(ch=='-')f=-1;ch=getchar();}
    while(ch>='0'&&ch<='9'){x=x*10+ch-'0';ch=getchar();}
    return x*f;
}

namespace bit{
	int T[N];
	inline void add(int x,int v){for(;x<=n;x+=lowbit(x))T[x]+=v;}
	inline int sum(int x){int r=0;for(;x;x-=lowbit(x))r+=T[x];return r;}
	inline void clear(int x){for(;x<=n&&T[x];x+=lowbit(x))T[x]=0;}
}

void solve(int l,int r){
	if(l==r) return;
	int m=(l+r)>>1;
	solve(l,m),solve(m+1,r);
	for(int p=l,q=m+1,cnt=l;p<=m||q<=r;)
		if(q>r||p<=m&&A[p]<A[q]) bit::add(A[p].y,1),tmp[cnt++]=A[p++];
		else Ans[A[q].t]+=bit::sum(n)-bit::sum(A[q].y),tmp[cnt++]=A[q++];
	for(int i=l;i<=m;++i) bit::clear(A[i].y);
	for(int i=l;i<=r;++i) A[i]=tmp[i];
	//Ans{i]算的是单个贡献,所以不仅要算前面比它大的,还要算后面比它小的
	for(int i=r;i>=l;--i)
		if(A[i].t<=m) bit::add(A[i].y,1);
		else Ans[A[i].t]+=bit::sum(A[i].y);
	for(int i=l;i<=r;++i) bit::clear(A[i].y);
}

bool cmpt(info a,info b){return a.t<b.t;}
int main(){
	n=read(),mm=read();
	for(int i=1,x;i<=n;++i) pos[x=read()]=i,A[i]=info(0,i,x);
	int tim=n;
	for(int i=1,x;i<=mm;++i) A[pos[read()]].t=tim--;
	for(int i=1;i<=n;++i) if(!A[i].t) A[i].t=tim--;
	sort(A+1,A+n+1,cmpt);	
	solve(1,n);
	//此时算出的Ans[i]是对于单个数的贡献,而答案要求此时所有的逆序对,所以应该做一个前缀和
	for(int i=1;i<=n;++i) Ans[i]+=Ans[i-1];
	for(int i=n;i>=n-mm+1;--i) printf("%lld\n",Ans[i]);
	return 0;
}

 

posted @ 2018-05-24 15:24  void_f  阅读(109)  评论(0编辑  收藏  举报