Build String

2000ms

262144K

Description:

You desperately need to build some string t. For that you've got n more strings s₁, s₂, ..., s_n. To build string t, you are allowed to perform exactly |t| (|t| is the length of string t) operations on these strings. Each operation looks like that:

choose any non-empty string from strings s₁, s₂, ..., s_n;
choose an arbitrary character from the chosen string and write it on a piece of paper;
remove the chosen character from the chosen string.

Note that after you perform the described operation, the total number of characters in strings s₁, s₂, ..., s_n decreases by 1. We are assumed to build string t, if the characters, written on the piece of paper, in the order of performed operations form string t.

There are other limitations, though. For each string s_i you know number a_i — the maximum number of characters you are allowed to delete from string s_i. You also know that each operation that results in deleting a character from string s_i, costs i rubles. That is, an operation on string s₁ is the cheapest (it costs 1 ruble), and the operation on string s_n is the most expensive one (it costs n rubles).

Your task is to count the minimum amount of money (in rubles) you will need to build string t by the given rules. Consider the cost of building string t to be the sum of prices of the operations you use.

Input:

The first line of the input contains string t — the string that you need to build.

The second line contains a single integer n (1 ≤ n ≤ 100) — the number of strings to which you are allowed to apply the described operation. Each of the next n lines contains a string and an integer. The i-th line contains space-separated string s_i and integer a_i (0 ≤ a_i ≤ 100). Number a_i represents the maximum number of characters that can be deleted from string s_i.

All strings in the input only consist of lowercase English letters. All strings are non-empty. The lengths of all strings do not exceed 100 characters.

Output:

Print a single number — the minimum money (in rubles) you need in order to build string t. If there is no solution, print -1.

Sample Input:

bbaze
3
bzb 2
aeb 3
ba 10

Sample Output:

Sample Input:

abacaba
4
aba 2
bcc 1
caa 2
bbb 5

Sample Output:

Sample Input:

xyz
4
axx 8
za 1
efg 4
t 1

Sample Output:

-1

Note:

Notes to the samples:

In the first sample from the first string you should take characters "b" and "z" with price 1 ruble, from the second string characters "a", "e" и "b" with price 2 rubles. The price of the string t in this case is 2·1 + 3·2 = 8.

In the second sample from the first string you should take two characters "a" with price 1 ruble, from the second string character "c" with price 2 rubles, from the third string two characters "a" with price 3 rubles, from the fourth string two characters "b" with price 4 rubles. The price of the string t in this case is 2·1 + 1·2 + 2·3 + 2·4 = 18.

In the third sample the solution doesn't exist because there is no character "y" in given strings.

Informação

Provedor Codeforces

Código CF237E