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Suppose we use the Banker's Algorithm to avoid deadlock. Consider a system that has 5 processes P_1, P_2, P_3, P_4, P_5, and four types of resources a, b, c and d: it has 6 units of a, units of b, 4 units of c, 2 units of d. The matrix EXISTING[] denotes the existing resource units and is always (6 3 4 2). AVAILABLE[] denotes the units available for allocation: ALLOCATE[] denotes the units that have been allocated to the processes: NEED[] denotes the units that may still be needed by the processes to complete the tasks. Suppose at a certain state the matrices are as shown below. EXISTING = (6 3 4 2) ALLOCATED = (2 0 1 1 1 0 1 0 1 0 1 0 1 0 1 0 1 0 0 0) P_1 P_2 P_3 P_4 P_5 NEED = (1 0 2 1 1 1 1 0 2 1 0 1 1 1 0 1 1 0 0 0) a) What is the AVAILABLE matrix? b) Is the system in a safe state? Why? c) If P_4 makes a request of (0 1 0 0), should the system grant the request? (If not, what should the system do?) You must show your steps clearly to prove that your answer is correct