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E. Build String

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputYou desperately need to build some string *t*. For that you've got *n* more strings *s*_{1}, *s*_{2}, ..., *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
*s*_{1},*s*_{2}, ...,*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 *s*_{1}, *s*_{2}, ..., *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 *s*_{1} 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.

Examples

Input

bbaze

3

bzb 2

aeb 3

ba 10

Output

8

Input

abacaba

4

aba 2

bcc 1

caa 2

bbb 5

Output

18

Input

xyz

4

axx 8

za 1

efg 4

t 1

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.

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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