Given that three devices A$,$ B and C are connected to a CPU through three interrupt lines, with device C having the highest priority followed by B and then A$.$ Suppose that the interrupt handler of device C executes in $50$ cycles, the interrupt handler of device B executes in $60$ cycles while that of A executes in $25$ cycles. Assume that each instruction in the handlers executes in one clock cycle. If devices C and B initiate interrupts at the end of cycle $5$ when the handler of device A is executing, then the handler of device A will finish execution by the end of cycle $-90----.$show your work