MathDB
Easy process problem

Source: Latvian TST for Baltic Way 2021 P8

September 25, 2021
combinatoricsProcess

Problem Statement

Initially on the blackboard eight zeros are written. In one step, it is allowed to choose numbers a,b,c,da,b,c,d, erase them and replace them with the numbers a+1a+1, b+2b+2, c+3c+3, d+3d+3. Determine: a) the minimum number of steps required to achieve 88 consecutive integers on the board b) whether it is possible to achieve that sum of the numbers is 20212021 c) whether it is possible to achieve that product of the numbers is 21452145
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