find the least possible area of the initial rectangular grid before the cuttings
Source: Nigerian Senior Mathematics Olympiad Round 3 problem 4
September 9, 2019
combinatorial geometryIntegerrectanglegridcombinatorics
Problem Statement
A rectangular grid whose side lengths are integers greater than is given. Smaller rectangles with area equal to an odd integer and length of each side equal to an integer greater than are cut out one by one. Finally one single unit is left. Find the least possible area of the initial grid before the cuttings.Ps. Collected [url=https://artofproblemsolving.com/community/c949611_2019_nigerian_senior_mo_round_3]here