MathDB

Anett is drawing

X

-es on a

5 \times 5

grid. For each newly drawn

X

she gets points in the following way: She checks how many

X

-es there are in the same row (including the new one) that can be reached from the newly drawn

X

with horizontal steps, moving only on fields that were previously marked with

X

-es. For the vertical

X

-es, she gets points the same way. a) What is the maximum number of points that she can get with drawing

25

X

-es? b) What is the minimum number of points that she can get with drawing

25

X

-es? For example, if Anett put the

X

on the field that is marked with the circle, she would get

3

points for the horizontal fields and

1

point for the vertical ones. Thus, she would get

4

points in total. https://cdn.artofproblemsolving.com/attachments/5/c/662c2e4c3dea8d78e2f6397489b277daee0ad0.png

Problem Statement