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IMAS 2018–2019 Junior — Round 2 Question 11

IMAS · IMAS 2018–2019 Junior — Round 2

Question 11

Place 9 distinct positive integers into each of the unit squares of the $3\times3$ square below, with one number in each unit square, such that the sum of the numbers in every $2\times2$ square is 50. What is the minimum possible value of sum of the 9 integers?

Question illustration