MathDB
TOT 2014 Spring O J3, numbers on a 7x5 table

Source:

September 11, 2020
combinatoricstable

Problem Statement

The entries of a 7×57 \times 5 table are fi lled with numbers so that in each 2×32 \times 3 rectangle (vertical or horizontal) the sum of numbers is 00. For 100100 dollars Peter may choose any single entry and learn the number in it. What is the least amount of dollars he should spend in order to learn the total sum of numbers in the table for sure?