John the Postman became bored one night, and to break the monotony of the night shift, he carried out an experiment with a row of mailboxes in the post office. These mailboxes were numbered 1 through 150, and beginning with mailbox 2; he opened the doors of all even-numbered mailboxes. Next, beginning with mailbox 3, he went to every third mailbox, opening its door if it was closed and closing its door if it was opened. Then he repeated this procedure with every fourth mailbox starting at mailbox 4, then every fifth mailbox, and so on. When he finished he was surprised at the distribution of opened and closed mailboxes. Write a program to determine which mailboxes are opened and which ones are closed, and output the results neatly in a table format. Assumption: all mailboxes are initially closed

sample output format 1 opened 2 opened 3 closed 4 closed 5 opened 6 opened. 7-opened 8 closed 9 closed 10 closed 11 closed 12 closed 13 closed 14 opened 15 F closed. (BTW: results above are incorrect to demonstrate output format only)