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TST TAJIKISTAN Day 3 Problem 3

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July 10, 2018
TajikistanIMO TST 2018Day 3 Problem 3

Problem Statement

Problem 9. The numbers 1,2,…,〖97〗^2 are written in the cells of a 97×97 board. In the center of each cell, there is a tower with the height equal to the number of that cell. Is it possible to see the top of any tower from the top of any other tower? (one point A can see the other point B, iff there is no other point on the segment AB).