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distance between 2 of 11 railway stations (Chile NMO 1994 P1)

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November 21, 2021
algebracombinatorics

Problem Statement

A railway line is divided into ten sections by stations E1,E2,...,E11E_1, E_2,..., E_{11}. The distance between the first and the last station is 5656 km. A trip through two consecutive stations never exceeds 12 12 km, and a trip through three consecutive stations is at least 1717 Km. Calculate the distance between E2E_2 and E7E_7.
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