MathDB

6. The baker has baked a rectangular pancake. He then cut it into

n^{2}

rectangles by making

n-1

horizontal and

n-1

vertical cuts. Being rounded to the closest integer, the areas of resulting rectangles equal to all positive integers from 1 to

n^{2}

in some order. For which maximal

n

could this happen? (Half-integers are rounded upwards.) Georgy Karavaev

Problem Statement