The world of the beetles consists of one entire plane divided into unit squares. Initially, all the beetles are locatedat squares south of an inner wall and each square is occupied by at most one beetle. In each move, a beetle can jump over another beetle in an adjacent square and land on the square immediately beyond. The beetle that was jumped over is then removed. However, the move is not permitted if the square is already occupied. The jump may be northward, eastward or westward. At leasthow many beetles are needed so that one beetle reaches the shaded square in the diagram below?

The world of the beetles consists of one entire plane divided into unit squares. Initially, all the beetles are locatedat squares south of an inner wall and each square is occupied by at most one beetle. In each move, a beetle can jump over another beetle in an adjacent square and land on the square immediately beyond. The beetle that was jumped over is then removed. However, the move is not permitted if the square is already occupied. The jump may be northward, eastward or westward. At leasthow many beetles are needed so that one beetle reaches the shaded square in the diagram below?

Algebra for College Students

10th Edition

ISBN:9781285195780

Author:Jerome E. Kaufmann, Karen L. Schwitters

Publisher:Jerome E. Kaufmann, Karen L. Schwitters

Chapter11: Systems Of Equations

Section11.CR: Review Problem Set

Problem 35CR

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