The Byteland Aircraft Factory has recently developed a new type of jet plane. Naming the planes with numbers is not fashionable anymore, so the management decided to form a two-word name. To draw potential clients' attention, the name should have an additional property: when encoded with the ROT13 cipher it should still be legible - the encoded form should differ only by the order of the words.</p>

Recall that the ROT13 cipher changes each letter to the one that lies 13 characters away in the alphabet. To be more precise, the encoding follows the table below.

Write a program which:

• reads from the standard input the list of available words,
• calculates the number of different possible plane names,
• writes the result to the standard output.

The first line of the input consists of a single integer n (1 ≤ n ≤ 1 000 000). In each of the next n lines there is one word consisting of small letters of the English alphabet. Each word contains at least one character. The cummulative length of all the words does not exceed 1 000 000 letters.

출력 형식

The first and only line of the output should contain one integer - the total number of different possible plane names.

예제 입력

5
urwany
hejnal
pijany
krolik
gizmo

예제 출력

2