“数字统计问题”

一本书的页码从自然数1开始顺序编码直到自然数n。书的页码按照通常的习惯编排，每个页码都不含多余的前导数字0。例如第6页用6表示而不是06或006。数字统计问题要求对给定书的总页码，计算出书的全部页码中分别用到多少次数字0,1,2,3,.....9。-A book page numbers from the natural numbers sequentially coding until the natural number n. The page number of the book in accordance with the usual custom layout each page does not contain a the excess leading digital 0. For example, the first six with 6 shows instead of 06 or 006. The problem of statistics on the total page number of the requirements of a given book, used how many times the numbers 0, 1, 2, and 3, respectively, calculated book Page, ..... 9.