Template Farmer Ran wants to put a rather long pattern on his house. In order to do this, he has to prepare an appropriate template with letters cut off first. He is going to put the pattern on the wall by putting the template on the wall in the appropriate place and painting over it. This way he can "print" all the letters that are on the template at one time (it is not possible to "print" only some of them). It is, however, possible, to paint some letters on the wall several times, as a result of different applications of the template. The letters on the template are adjacent (there are no spaces on it). Of couse, it is possible to prepare a template with the whole pattern on it. But Farmer Ran would like to minimize the cost, so he wants to make a template as short as possible. PROBLEM NAME: sza (again!) INPUT FORMAT: * Line 1: In the first and only line of input there is one word. It is the pattern Farmer Ran wants painted on his house. It consists of no more than 500,000 and no less than 1 lower-case (non-capital) letters of the English alphabet. SAMPLE INPUT: ababbababbabababbabababbababbaba OUTPUT FORMAT: * Line 1: In the first and only line of the output one integer should be written - the minimal number of letters in the template. SAMPLE OUTPUT: 8