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(B) The frog starts at $(0,0)$ and needs to reach $(0,1)$ with each jump covering a distance of $5$ units. Let the jump be represented by a vector $(x

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$3$

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(B) The frog starts at $(0,0)$ and needs to reach $(0,1)$ with each jump covering a distance of $5$ units. Let the jump be represented by a vector $(x, y)$ such that $x^2 + y^2 = 5^2 = 25$,where $x, y \in \mathbb{Z}$. Possible integer pairs $(x, y)$ are $(\pm 3, \pm 4)$ or $(\pm 4, \pm 3)$ or $(\pm 5, 0)$ or $(0, \pm 5)$. To reach $(0,1)$ in the minimum number of jumps: $1$. Jump $1$: From $(0,0)$ to $(4,3)$ (distance $5$). $2$. Jump $2$: From $(4,3)$ to $(0,6)$ (distance $\sqrt{(0-4)^2 + (6-3)^2} = \sqrt{16+9} = 5$). $3$. Jump $3$: From $(0,6)$ to $(0,1)$ (distance $5$). Thus,the minimum number of jumps required is $3$.

$A$ frog is presently located at the origin $(0,0)$ in the $XY$-plane. It always jumps from a point with integer coordinates to a point with integer coordinates,moving a distance of $5$ units in each jump. What is the minimum number of jumps required for the frog to go from $(0,0)$ to $(0,1)$?

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