CF1272C.Yet Another Broken Keyboard

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题目描述

Recently, Norge found a string s=s1s2sns = s_1 s_2 \ldots s_n consisting of nn lowercase Latin letters. As an exercise to improve his typing speed, he decided to type all substrings of the string ss . Yes, all n(n+1)2\frac{n (n + 1)}{2} of them!

A substring of ss is a non-empty string x=s[ab]=sasa+1sbx = s[a \ldots b] = s_{a} s_{a + 1} \ldots s_{b} ( 1abn1 \leq a \leq b \leq n ). For example, "auto" and "ton" are substrings of "automaton".

Shortly after the start of the exercise, Norge realized that his keyboard was broken, namely, he could use only kk Latin letters c1,c2,,ckc_1, c_2, \ldots, c_k out of 2626 .

After that, Norge became interested in how many substrings of the string ss he could still type using his broken keyboard. Help him to find this number.

输入格式

The first line contains two space-separated integers nn and kk ( 1n21051 \leq n \leq 2 \cdot 10^5 , 1k261 \leq k \leq 26 ) — the length of the string ss and the number of Latin letters still available on the keyboard.

The second line contains the string ss consisting of exactly nn lowercase Latin letters.

The third line contains kk space-separated distinct lowercase Latin letters c1,c2,,ckc_1, c_2, \ldots, c_k — the letters still available on the keyboard.

输出格式

Print a single number — the number of substrings of ss that can be typed using only available letters c1,c2,,ckc_1, c_2, \ldots, c_k .

输入输出样例

  • 输入#1

    7 2
    abacaba
    a b
    

    输出#1

    12
    
  • 输入#2

    10 3
    sadfaasdda
    f a d
    

    输出#2

    21
    
  • 输入#3

    7 1
    aaaaaaa
    b
    

    输出#3

    0
    

说明/提示

In the first example Norge can print substrings s[12]s[1\ldots2] , s[23]s[2\ldots3] , s[13]s[1\ldots3] , s[11]s[1\ldots1] , s[22]s[2\ldots2] , s[33]s[3\ldots3] , s[56]s[5\ldots6] , s[67]s[6\ldots7] , s[57]s[5\ldots7] , s[55]s[5\ldots5] , s[66]s[6\ldots6] , s[77]s[7\ldots7] .

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