POJ 3320 Jessica's Reading Problem

Jessica's Reading Problem

Time Limit: 1000MS		Memory Limit: 65536K
Total Submissions: 5592		Accepted: 1646

Description

Jessica's a very lovely girl wooed by lots of boys. Recently she has a problem. The final exam is coming, yet she has spent little time on it. If she wants to pass it, she has to master all ideas included in a very thick text book. The author of that text book, like other authors, is extremely fussy about the ideas, thus some ideas are covered more than once. Jessica think if she managed to read each idea at least once, she can pass the exam. She decides to read only one contiguous part of the book which contains all ideas covered by the entire book. And of course, the sub-book should be as thin as possible.

A very hard-working boy had manually indexed for her each page of Jessica's text-book with what idea each page is about and thus made a big progress for his courtship. Here you come in to save your skin: given the index, help Jessica decide which contiguous part she should read. For convenience, each idea has been coded with an ID, which is a non-negative integer.

Input

The first line of input is an integer P (1 ≤ P ≤ 1000000), which is the number of pages of Jessica's text-book. The second line contains P non-negative integers describing what idea each page is about. The first integer is what the first page is about, the second integer is what the second page is about, and so on. You may assume all integers that appear can fit well in the signed 32-bit integer type.

Output

Output one line: the number of pages of the shortest contiguous part of the book which contains all ideals covered in the book.

Sample Input

5
1 8 8 8 1

Sample Output

2

Source

POJ Monthly--2007.08.05, Jerry

 

//题意：找出最短的连续子串，子串包含所有母串出现过的数

 

//不知道是今天状态不好、还是自己不行、今天老是犯些小错误。

//快排+二分查找+队列

// 先对原来序列排序 再离散化

// 再用队列

// 给所有数排序、用编号代表数的大小，再用二分查找该数

//按照原来给的数循序加入队列，直到有的数都已经进入队列、然后，根据数在队列出现的次数

///判断是否把该数从队首删除，以达到队列包含所有数的同时长度最小。

#include <iostream>
#include <stdio.h>
#include <string.h>
#include <algorithm>
#include <queue>
#define Y 1000003
using namespace std;
int a[Y],b[Y];
int h[Y];
int n;
int bf(int x)
{
    int l=0,r=n-1,m;
    while(l<=r)
    {
        m=(l+r)>>1;
        if(a[m]>x) r=m-1;
        else if(a[m]<x) l=m+1;
            else  return m;
    }
}
int main()
{
    int P,i,index,t,l;
    while(scanf("%d",&P)!=EOF)
    {
        for(i=0;i<P;i++)
         scanf("%d",&a[i]),b[i]=a[i];
        queue<int>Q;
        sort(a,a+P);
        for(n=0,i=1;i<P;i++)
         if(a[i]!=a[n])
           a[++n]=a[i];
         n++;t=1;
        memset(h,0,n*sizeof(int));
        index=bf(b[0]);
        h[index]++;
        Q.push(b[0]);
        for(i=1;i<P;i++)
        {
            index=bf(b[i]);
            if(!h[index])  t++;
             h[index]++;
            Q.push(b[i]);
            if(t==n) {l=Q.size(); break;}
        } // printf("%d \n",l);
            index=bf(Q.front());
            while(h[index]>1)
            {
                h[index]--;
                Q.pop();
                index=bf(Q.front());
            }
            if(l>Q.size())
             l=Q.size();
        for(i++;i<P;i++)
        {
            Q.push(b[i]);
            index=bf(b[i]);
            h[index]++;
            index=bf(Q.front());
            while(h[index]>1)
            {
                h[index]--;
                Q.pop();
                index=bf(Q.front());
            }
            if(l>Q.size())
             l=Q.size();
        }
        printf("%d\n",l);
    }
    return 0;
}