Using nearest-neighbor interpolation, find the scaled version of the image $x(m, n)$.
(i) $a=0.5, e=0.75$
$$
\left[\begin{array}{llll}
52 & 61 & 57 & 66 \\
58 & 64 & 69 & 64 \\
45 & 60 & 74 & 61 \\
56 & 63 & 74 & 63
\end{array}\right]
$$
*(ii) $a=-0.5, e=-0.5$
$$
\left[\begin{array}{rrrr}
71 & 56 & 47 & 92 \\
66 & 51 & 47 & 108 \\
64 & 55 & 70 & 122 \\
73 & 57 & 81 & 127
\end{array}\right]
$$
(iii) $a=0.75, e=0.25$
$$
\left[\begin{array}{llll}
48 & 53 & 46 & 62 \\
54 & 54 & 54 & 80 \\
64 & 53 & 59 & 78 \\
57 & 46 & 56 & 55
\end{array}\right]
$$