After Elon Musk decided to make a new business idea. He found a social network called "Friends.com". It has currently N registered users. Likewise in any social network many users can be friends. Elon Musk wants the world to be as super connected as possible, so he has this new way to suggest friendship to some pairs of users. He suggests user u to have a friendship with user v if they are not friends yet and there is a user w who is friends of both of them. Note that u, v and w are different users. Elon Musk is too busy with SpaceX these days, so he hired you to develop a Python program to count out how many friendship suggestions he has to send over his social network "Friends.com". Sample Input:

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