hdu 5842 Lweb and String【水题】

本文介绍了一道编程题,目标是通过合理赋值给定字符串中的每个字符来最大化该字符串对应的最长严格增子序列(LIS)长度。文章提供了解题思路及AC代码示例。

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Lweb and String

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 65536/65536 K (Java/Others)
Total Submission(s): 118    Accepted Submission(s): 79

Problem Description

Lweb has a string S.

Oneday, he decided to transform this string to a new sequence. 

You need help him determine this transformation to get a sequence which has the longest LIS(Strictly Increasing). 

You need transform every letter in this string to a new number.

A is the set of letters of S, B is the set of natural numbers. 

Every injection f:A→B can be treat as an legal transformation. 

For example, a String “aabc”, A={a,b,c}, and you can transform it to “1 1 2 3”, and the LIS of the new sequence is 3. 

Now help Lweb, find the longest LIS which you can obtain from S.

LIS: Longest Increasing Subsequence. (https://en.wikipedia.org/wiki/Longest_increasing_subsequence)

 

 

Input

The first line of the input contains the only integer T,(1≤T≤20).

Then T lines follow, the i-th line contains a string S only containing the lowercase letters, the length of S will not exceed 105.

 

 

Output

For each test case, output a single line "Case #x: y", where x is the case number, starting from 1. And y is the answer.

 

 

Sample Input

2

aabcc

acdeaa

 

 

Sample Output

Case #1: 3

Case #2: 4

 

题目大意:

给你一个字符串,我们可以给予对应字符串每个字符一个合理的值,然后求其最大上升子序列的值。


思路:


既然我们可以自己定义每个字符串中每个字符的值,我们及可以直接定义,每一次遇到一个没出现的字符,output++即可。


Ac代码:


#include<stdio.h>
#include<string.h>
using namespace std;
char a[1515151];
int vis[26];
int main()
{
    int t;
    int kase=0;
    scanf("%d",&t);
    while(t--)
    {
        memset(vis,0,sizeof(vis));
        scanf("%s",a);
        int n=strlen(a);
        int output=0;
        for(int i=0;i<n;i++)
        {
            if(vis[a[i]-'a']==0)vis[a[i]-'a']=1,output++;
        }
        printf("Case #%d: ",++kase);
        printf("%d\n",output);
    }
}








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