hdu Boring count（BestCode round #11）

Boring count

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)

Total Submission(s): 360    Accepted Submission(s): 140

Problem Description

You are given a string S consisting of lowercase letters, and your task is counting the number of substring that the number of each lowercase letter in the substring is no more than K.

Input

In the first line there is an integer T , indicates the number of test cases.

For each case, the first line contains a string which only consist of lowercase letters. The second line contains an integer K.



[Technical Specification]

1<=T<= 100

1 <= the length of S <= 100000

1 <= K <= 100000

Output

For each case, output a line contains the answer.

Sample Input

3
abc
1
abcabc
1
abcabc
2

Sample Output

6
15
21

官方题解：

枚举字符串下标i，每次计算以i为结尾的符合条件的最长串。那么以i为结尾的符合条件子串个数就是最长串的长度。

求和就可以。

计算以i为结尾的符合条件的最长串两种方法：

1.维护一个起点下标startPos，初始为1。

假设当前为i，那么cnt[str[i]]++，假设大于k的话，就while( str[startPos] != str[i+1] ) cnt[str[startPos]]--, startPos++; 每次都保证 startPos~i区间每一个字母个数都不超过k个。ans += ( i-startPos+1 )。

时间复杂度O(n)

2.预处理出全部字母的前缀和。然后通过二分找出以i为结尾的符合条件的最长串的左边界。

时间复杂度O(nlogn)，写的不够好的可能超时。

代码：

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
using namespace std;
int a[30];
char s[101000];
int main()
{
    int t,k,n;
    scanf("%d",&t);
    while(t--)
    {
         memset(s,0,sizeof(s));
         memset(a,0,sizeof(a));
        scanf("%s",s);
        n=strlen(s);
        scanf("%d",&k);
        long long ans=0;
        int start=0;
        for(int i=0;i<n;i++)
        {
            int x=s[i]-'a';
            a[x]++;
            if(a[x]>k)
            {
                while(s[start]!=s[i])
                {
                    a[s[start]-'a']--;
                    start++;
                }
                a[s[start]-'a']--;
                    start++;
            }
            ans+=(i-start+1);
        }
        printf("%I64d\n",ans);
    }
    return 0;
}