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B. Similar Words

time limit per test

2 secondsmemory limit per test

512 megabytesinput

standard inputoutput

standard outputLet us call a non-empty sequence of lowercase English letters a word. Prefix of a word *x* is a word *y* that can be obtained from *x* by removing zero or more last letters of *x*.

Let us call two words similar, if one of them can be obtained from the other by removing its first letter.

You are given a set *S* of words. Find the maximal possible size of set of non-empty words *X* such that they satisfy the following:

- each word of
*X*is prefix of some word from*S*; -
*X*has no similar words.

Input

Input data contains multiple test cases. The first line of the input data contains an integer *t* — the number of test cases. The descriptions of test cases follow.

The first line of each description contains an integer *n* — the number of words in the set *S* (1 ≤ *n* ≤ 10^{6}). Each of the following *n* lines contains one non-empty word — elements of *S*. All words in *S* are different.

It is guaranteed that the total length of all words in one input data doesn't exceed 10^{6}.

Output

For each test case print one line that contains one integer *m* — the maximal number of words that *X* can contain.

Example

Input

2

3

aba

baba

aaab

2

aa

a

Output

6

1

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

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