A city is divided into 3 zones for security planning. Accordingly, there are 3 The new security element is planned to be deployed to these 3 regions. to every region Estimated number of crimes that will occur when given a certain number of new security guards given in the table below. a) Accordingly, the maximum number of offenses how many security units per zone to minimize dynamically that the element should be given Find with programming approach. b) More in Zone 3 than Zone 1 If security personnel are requested to be appointed, the problem can use dynamic programming to solve Please specify reasons.

\begin{tabular}{|l|l|l|l|l|} \hline \multicolumn{2}{|l|}{} & \multicolumn{4}{|c|}{ new security number } \\ \cline { 4 - 5 } & \multicolumn{2}{|l|}{ assigned } \\ \cline { 2 - 5 } & 0 & 1 & 2 & 3 \\ \hline area 1 & 14 & 10 & 7 & 4 \\ \hline area 2 & 25 & 19 & 16 & 14 \\ \hline area 3 & 18 & 17 & 5 & 1 \\ \hline \end{tabular}