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Tom is training for baseball season. His coach wants him to pitch or hit 90 times over the course of the 53 days before

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Tom is training for baseball season. His coach wants him to pitch or hit 90 times over the course of the 53 days before the season starts. He plans to do at least one pitching or hitting session a day. Prove that there exists a span of consecutive days that Tom will complete exactly 15 sessions.

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