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E. Test

time limit per test

2 secondsmemory limit per test

256 megabytesinput

standard inputoutput

standard outputSometimes it is hard to prepare tests for programming problems. Now Bob is preparing tests to new problem about strings — input data to his problem is one string. Bob has 3 wrong solutions to this problem. The first gives the wrong answer if the input data contains the substring *s*_{1}, the second enters an infinite loop if the input data contains the substring *s*_{2}, and the third requires too much memory if the input data contains the substring *s*_{3}. Bob wants these solutions to fail single test. What is the minimal length of test, which couldn't be passed by all three Bob's solutions?

Input

There are exactly 3 lines in the input data. The *i*-th line contains string *s*_{i}. All the strings are non-empty, consists of lowercase Latin letters, the length of each string doesn't exceed 10^{5}.

Output

Output one number — what is minimal length of the string, containing *s*_{1}, *s*_{2} and *s*_{3} as substrings.

Examples

Input

ab

bc

cd

Output

4

Input

abacaba

abaaba

x

Output

11

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