Bob built a website and gave the URL only to his n friends, which he numbered from 1 to n. He told friend number i that he/she can visit the website at most i times. Now Bob has a counter, C, keeping track of the total number of visits to the site (but not the identities of who visits). What is the minimum value for C such that Bob can know that one of his friends has visited his/her maximum allowed number of times?
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