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?
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:9. 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
cach 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 neededso that one beetle
reaches the shaded square in the diagram below?
(A) 5
(B) 6
(C)7
(D) 8
(E) 10
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