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max no of stories starting at odd no 1989 Greece MO Grade X p2

Source:

September 7, 2024
combinatoricsnumber theory

Problem Statement

A collection of short stories written by Papadiamantis contains 7070 short stories, one of 11 page, one of 22 pages, ... one of 7070 pages . and not nessecarily in that order. Every short story starts on a new page and numbering of pages of the book starts from the first page . What is the maximum number of short stories that start on page with odd number?