Using MATLAB Software and without for or if statements

killbacteria$\_2$d

Consider an experiment where bacteria are grown on a petri dish divided into an R$-$by$-$C grid. Let matrix $M($with $R$ rows, $C$ columns$)$ represent the number of bacteria in each block of this grid. When a drop of antibiotic is delivered to a specific block at row $x$ and column $y,$ it kills all of the bacteria on that block and half of the bacteria in all of the neighboring blocks. The figure below shows an example of a plate composed of a $4-$by$-4$ grid, where the numbers represent bacteria count in each block. After the antibiotic is delivered to the block at $2nd$ row and $3$ th column, it kills all of the $10$ bacteria on that block and half of the bacteria in neighboring blocks: $\frac{2+3+13+11+8+7+6+12}{2}=31$; killing a total of $41$ bacteria.

Write a function killbacteria$(M,x,y$ that returns the total number of bacteria killed.

$25$

$>>$ disp$(killbacteri{a}_{2}d([162313$; $511108],1,4))$

$23\mathrm{.}5$

$\backslash$table$[[16,2,3,13],[5,11,10,8],[9,7,6,12],[4,14,15,1]]$

$\backslash$table$[[16,1,1\mathrm{.}5,6\mathrm{.}5],[5,5\mathrm{.}5,0,4],[9,3\mathrm{.}5,3,6],[4,14,15,1]]$