Q$1.$ Considering a system with five processes P$1$ through P$5$ and three resources of type R$1,$ R$2,$ R$2$ and R$4.$ Suppose at time to following snapshot of the system has been taken:

Currently Available Resources

$\backslash$table$[[$R$1,$R$2,$R$3,$R$4],[2,1,2,0]]$

$\backslash$table$[[$Current Allocation,Max Need$],[$Process$,$R$1,$R$2,$R$3,$R$4,$R$1,$R$2,$R$3,$R$4],[$P$1,0,0,1,2,0,0,3,2],[$P$2,2,0,0,0,2,7,5,0],[$P$3,0,0,3,4,6,6,5,6],[$P$4,2,3,5,4,4,3,5,6],[$P$5,0,3,3,2,0,6,5,2]]$

a$.$ What will be the content of the Need matrix?

b$.$ Is the system in a safe state? If Yes, then what is the safe sequence?