ADACLEAN - Ada and Spring Cleaning


Ada the Ladybug has decided to do some "Spring Cleaning". As you might know, she keeps a TODO list. She is very sparing so she keeps all her activities as one string. You might get very confused while reading the string but she has a system - every activity has length exactly K characters. Sadly, as new activities were added to the list many duplicities appeared. Now it is time to find out how many unique activities are in her TODO list.

Input

First line contains T, number of test-cases.

Each test-case begins with N, K, 1 ≤ K ≤ N ≤ 105, length of string and length of activities respectively.

Next line consists of string of length N, consisting of lowercase letters.

The sum of lengths of strings among all test-cases won't exceed 3*105

Output

For each test-case, print the number of unique substrings of length K

Example Input

5
3 2
aaa
5 1
abcba
4 2
abac
10 2
abbaaaabba
7 3
dogodog

Example Output

1
3
3
4
4

hide comments
pro3zim: 2024-06-23 10:49:13

Note: take care of overflow

shofiqur_052: 2022-08-22 19:25:18

No need of using two hash function. Using only base 29 and mod as 2^(63)-1 is enough

cpchef7: 2022-01-19 13:05:50

Use two different modulo multiplicator, for avoiding collision, i used p1=31 and other p2=53 and got accepted

cpchef7: 2022-01-19 13:04:43

Used, rabin karp algo and two hash functions, used set<pair<int,int>>,

ohkay: 2021-10-08 18:50:03

classic RabinKarp .. consider using 2 hash functions

techmint: 2021-01-06 18:04:09

HINT: Use prime number 2^{63} - 1 and modular multiplication if you want to use string hashing.

sangmai: 2020-10-29 11:54:06

cost me 12 WAs with 12 different hashing schemes to get to the correct one.

misho8845: 2020-10-14 00:47:12

To avoid WA use two hash functions!!!

kungfupanda199: 2020-09-20 06:15:23

Use mod value as 1e18+9 to avoid WA

Last edit: 2020-09-20 06:21:26
chandanag23: 2020-08-17 09:16:22

AC in one go.


Added by:Morass
Date:2016-09-06
Time limit:1s
Source limit:50000B
Memory limit:1536MB
Cluster: Cube (Intel G860)
Languages:All except: ASM64 GOSU