HDOJ 4455 Substrings 递推+树状数组

pre[i]第i位数往前走多少位碰到和它同样的数

dp[i]表示长度为i的子串,dp[i]能够由dp[i-1]加上从i到n的pre[i]>i-1的数减去最后一段长度为i-1的断中的不同的数得到....

爆int+有点卡内存....

Substrings

Time Limit: 10000/5000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 2300    Accepted Submission(s): 716

Problem Description

XXX has an array of length n. XXX wants to know that, for a given w, what is the sum of the distinct elements’ number in all substrings of length w. For example, the array is { 1 1 2 3 4 4 5 } When w = 3, there are five substrings of length 3. They are (1,1,2),(1,2,3),(2,3,4),(3,4,4),(4,4,5)
The distinct elements’ number of those five substrings are 2,3,3,2,2.
So the sum of the distinct elements’ number should be 2+3+3+2+2 = 12

 

Input

There are several test cases.
Each test case starts with a positive integer n, the array length. The next line consists of n integers a₁,a₂…a_n, representing the elements of the array.
Then there is a line with an integer Q, the number of queries. At last Q lines follow, each contains one integer w, the substring length of query. The input data ends with n = 0 For all cases, 0<w<=n<=10⁶, 0<=Q<=10⁴, 0<= a₁,a₂…a_n <=10⁶

 

Output

For each test case, your program should output exactly Q lines, the sum of the distinct number in all substrings of length w for each query.

 

Sample Input

7
1 1 2 3 4 4 5
3
1
2
3
0

 

Sample Output

7
10
12

 

Source

2012 Asia Hangzhou Regional Contest

 

/* ***********************************************
Author        :CKboss
Created Time  :2015年08月17日 星期一 22时06分06秒
File Name     :HDOJ4455.cpp
************************************************ */

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <string>
#include <cmath>
#include <cstdlib>
#include <vector>
#include <queue>
#include <set>
#include <map>

using namespace std;

typedef long long int LL;
const int maxn=1001000;

int n;
LL dp[maxn];
int a[maxn];
int pre[maxn];
int spre[maxn];
int wz[maxn];
bool vis[maxn];

/*************BIT*********************/

inline int lowbit(int x) { return x&(-x); }

int tree[maxn];

void add(int p,int v)
{
	for(int i=p;i<maxn;i+=lowbit(i))
		tree[i]+=v;
}

LL sum(int p)
{
	LL ret=0;
	for(int i=p;i;i-=lowbit(i)) ret+=tree[i];
	return ret;
}

int main()
{
	//freopen("in.txt","r",stdin);
	//freopen("out.txt","w",stdout);

	while(scanf("%d",&n)!=EOF&&n)
	{
		for(int i=1;i<=n;i++) scanf("%d",a+i);

		memset(wz,-1,sizeof(wz));
		memset(pre,0,sizeof(pre));
		memset(spre,0,sizeof(spre));
		memset(tree,0,sizeof(tree));
		memset(vis,false,sizeof(vis));

		for(int i=n;i>=1;i--)
		{
			int x=a[i];
			if(wz[x]==-1) wz[x]=i;
			else
			{
				spre[wz[x]-i]++;
				pre[wz[x]]=wz[x]-i;
				wz[x]=i;
			}
		}

		int zero=0,nozero;
		for(int i=1;i<=n;i++)
		{
			if(pre[i]==0) zero++;
			if(spre[i]) add(i,spre[i]);
		}
		int ed=n;
		int siz=0;
		nozero=n-zero;
		dp[1]=n; zero--;

		for(int i=2;i<=n;i++)
		{
			if(vis[a[ed]]==false)
			{
				vis[a[ed]]=true;
				siz++;
			}
			ed--;
			int B=siz;
			int A=zero+nozero-sum(i-1);
			dp[i]=dp[i-1]+A-B;
			if(pre[i]) nozero--,add(pre[i],-1);
			else zero--;
		}
		int Q;
		scanf("%d",&Q);
		while(Q--)
		{
			int x;
			scanf("%d",&x);
			printf("%lld\n",dp[x]);
		}
	}

    return 0;
}