A system has three types of resources R$1,$ R$2$ and R$3$ and their number of units are $3,2$ and $2$

respectively. Four processes P$1,$ P$2,$ P$3$ and P$4$ are currently competing for these resources in the following manner:

a$)$ P$1$ is holding one unit of R$1$ and is requesting for one unit of R$2.$

b$)$ P$2$ is holding two units of R$2$ and is requesting for one unit each of R$1$ and R$2.$

c$)$ P$3$ is holding one unit of R$1$ and is requesting for one unit of R$2.$

c$)$ P$4$ is holding two units of R$3$ and is requesting for one unit of R$1.$

Determine which, if any, of the processes are deadlocked in this system state.