Minimal Table

Given a table of size `3 times 3`. Hilla wants to write digits from 1 to 9 in the table's cells, such that all the sums in the rows and columns of the table are different, and the total sum of the table is as small as possible.
It is allowed to repeat the same digit multiple times. What is the smallest sum that Hilla can obtain?

Difficulty level (1 very easy - 10 very hard): 2

Arithmetic Logic -> Reasoning / Logic Combinatorics -> Case Analysis / Checking Cases -> Processes / Procedures Combinatorics -> Number Tables

Sources:

Young Mathematician Olympiad, 2018-2019, Stage B, Grades 5-6 Question 7

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