module top (
input clk,
input rst,
input en,
input a,
input b,
output s,
output bs,
output f
);


    parameter S0 = 4'b0000, S1 = 4'b0001, S2 = 4'b0010, S3 = 4'b0011, S4 = 4'b0100, S5 = 4'b0101, S6 = 4'b0110, S7 = 4'b0111, S8 = 4'b1000, S9 = 4'b1001, S10 = 4'b1010, S11 = 4'b1011, S12 = 4'b1100, S13 = 4'b1101, S14 = 4'b1110;

	reg [3:0] ns, st;

	reg [2:0] count;


	always @(posedge clk)
	begin : CurrstProc
		if (rst)
			st <= S0;
		else
			st <= ns;
	end

	always @*
	begin : NextstProc
		ns = st;
		case (st)
			S0: ns = S1;
			S1: ns = S2;
			S2:
				if (b == 1'b1)
					ns = S3;
				else
					ns = S4;
			S3: ns = S1;
			S4: if (count > 7)
					ns = S10;
				else
					ns = S5;
			S5: if (a == 1'b0)
					ns = S6;
				else
					ns = S3;
			S6:
				if (a == 1'b1)
					ns = S7;
				else
					ns = S8;
			S7:
				if (a == 1'b1 && b == 1'b1)
					ns = S5;
				else
					ns = S13;
			S8: ns = S9;
			S9: ns = S8;
			S10:
				if (a == 1'b1 || b == 1'b1)
					ns = S11;
				else
					ns = S4;
			S11: ns = S12;
			S12: ns = S10;
			S13: ;
			default: ns = S0;
		endcase;
	end

	always @(posedge clk)
		if(~rst)
			count <= 0;
		else
		begin
			if(st == S4)
				if (count > 7)
					count <= 0;
				else
					count <= count + 1;
		end

	//FSM outputs (combinatorial)

	assign s   = (st == S3 || st == S12) ? 1'b1 : 1'b0;

	assign f = (st == S13) ? 1'b1 : 1'b0;

	assign bs   = (st == S8 || st == S9) ? 1'b1 : 1'b0;

endmodule