Vasya plays the LionAge II. He was bored of playing with a stupid computer, so he installed this popular MMORPG, to fight with his friends. Vasya came up with the name of his character − non-empty string s, consisting of a lowercase Latin letters. However, in order not to put up a front of friends, Vasya has decided to change no more than k letters of the character name so that the new name sounded as good as possible. Euphony of the line is defined as follows: for each pair of adjacent letters x and y (x immediately precedes y) the bonus c(x,y) is added to the result. Your task is to determine what the greatest Euphony can be obtained by changing at most k letters in the name of the Vasya's character.
The first line contains character's name s and an integer number k (0≤k≤100). The length of the nonempty string s does not exceed 100. The second line contains an integer number n (0≤n≤676) − amount of pairs of letters, giving bonus to the euphony. The next n lines contain description of these pairs «x y c», which means that sequence xy gives bonus c (x,y − lowercase Latin letters, -1000≤c≤1000). It is guaranteed that no pair x y mentioned twice in the input data.
Output the only number − maximum possible euphony of the new character's name.
winner 4
4
s e 7
o s 8
l o 13
o o 8
36
abcdef 1
5
a b -10
b c 5
c d 5
d e 5
e f 5
20
In the first example the most euphony name will be looser. It is easy to calculate that its euphony is 36.