Cost of Data
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## Algorithms, Data Structures, Sorting, String Manipulation, Trees, Tries

Problem
Editorial
Analytics

Strings can be efficiently stored as a data structure, to have efficient searching methods.
A new startup is going to use this method, but they don't have much space. So they want to check beforehand how much memory will be required for their data.
Following method describes the way in which this startup's engineers save the data in the structure.

Suppose they have 5 strings/words: et,eq,bd,be,bdp
A empty node is kept $NULL$, and strings are inserted into the structure one by one.
Initially the structure is this:

NULL


After inserting "et", the structure is this:

NULL
|
e
|
t


After inserting "eq", the structure is this:

   NULL
/
e
/ \
t   q


After inserting "bd", the structure is this:

   NULL
/  \
e    b
/ \    \
t   q    d


After inserting "be", the structure is this:

     NULL
/     \
e       b
/ \     / \
t   q   e   d


After inserting "bdp", the structure is this:

    NULL
/     \
e       b
/ \     / \
t   q   e   d
\
p


Therefore a total of 8 nodes are used here.

Input:
First line contains N, the number of strings they have.
Each of the next N lines contain one string. Each string consists only of lowercase letters.

Output:
Print the required number of nodes.

**Constraints:
$1 \le N \le 10^5$
Length of each string $\le 30$

Note: No two strings are same, though one string could be prefix of another.

SAMPLE INPUT
5
et
eq
bd
be
bdp

SAMPLE OUTPUT
8

Time Limit: 5.0 sec(s) for each input file.
Memory Limit: 256 MB
Source Limit: 1024 KB

## This Problem was Asked in

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