module top_module (
	input clk,
	input in,
	input reset,
	output out
);

    reg state, next_state;
    parameter A = 1'b0, B = 1'b1;

    always @(posedge clk) begin
        if (reset)
            state <= B;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            A: next_state = in ? A : B;
            B: next_state = in ? B : A;
            default: next_state = B;
        endcase
    end

    assign out = (state == B);

endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output out
);

    parameter STATE_A = 1'b0;
    parameter STATE_B = 1'b1;

    reg current_state, next_state;

    always @(posedge clk) begin
        if (reset)
            current_state <= STATE_B;
        else
            current_state <= next_state;
    end

    always @(*) begin
        case (current_state)
            STATE_A: next_state = in ? STATE_A : STATE_B;
            STATE_B: next_state = in ? STATE_B : STATE_A;
            default: next_state = STATE_B;
        endcase
    end

    assign out = (current_state == STATE_B);

endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output out
);

    parameter STATE_A = 1'b0;
    parameter STATE_B = 1'b1;

    reg state, next_state;

    always @(posedge clk) begin
        if (reset)
            state <= STATE_B;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            STATE_A: next_state = in ? STATE_A : STATE_B;
            STATE_B: next_state = in ? STATE_B : STATE_A;
            default: next_state = STATE_B;
        endcase
    end

    assign out = (state == STATE_B);

endmodule

module top_module (
	input clk,
	input in,
	input reset,
	output out
);

    reg state, next_state;
    parameter A = 1'b0, B = 1'b1;

    always @(posedge clk) begin
        if (reset)
            state <= B;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            A: next_state = in ? A : B;
            B: next_state = in ? B : A;
        endcase
    end

    assign out = (state == B);

endmodule


module top_module (
	input a,
	input b,
	input cin,
	output cout,
	output sum
);

    assign sum = a ^ b ^ cin;
    assign cout = (a & b) | (cin & (a ^ b));

endmodule

module top_module (
	input a,
	input b,
	input cin,
	output cout,
	output sum
);

	assign sum = a ^ b ^ cin;
	assign cout = (a & b) | (b & cin) | (a & cin);

endmodule

module top_module (
	input a,
	input b,
	input cin,
	output cout,
	output sum
);

	assign sum = a ^ b ^ cin;
	assign cout = (a & b) | (a & cin) | (b & cin);

endmodule


module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);

    wire xnor_out;

    assign xnor_out = ~(in1 ^ in2);
    assign out = xnor_out ^ in3;

endmodule

module top_module (
	input in1,
	input in2,
	input in3,
	output logic out
);

    logic xnor_out;

    assign xnor_out = ~(in1 ^ in2);
    assign out = xnor_out ^ in3;

endmodule


module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? 1'b1 : 1'b0;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c ? 1'b1 : 1'b0;

    assign mux_out = c ? 1'b1 : d;
    assign mux_in[3] = mux_out;

endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? 1'b1 : 1'b0;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c | d;

    assign mux_out = c ? 1'b1 : 1'b0;
    assign mux_in[3] = d ? mux_out : 1'b1;

endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? c : 1'b1;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c;
    assign mux_in[3] = d ? c : 1'b1;

endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? 1'b1 : 1'b0;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c ? 1'b1 : 1'b0;

    assign mux_out = c ? d : 1'b1;
    assign mux_in[3] = mux_out;

endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? 1'b1 : 1'b0;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c ? 1'b1 : 1'b0;

    assign mux_out = c ? (d ? 1'b1 : 1'b1) : (d ? 1'b0 : 1'b1);
    assign mux_in[3] = mux_out;

endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? c : 1'b1;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c | d;
    assign mux_in[3] = ~d;

endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? 1'b1 : 1'b0;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c ? 1'b1 : 1'b0;

    mux2to1 mux_3 (
        .sel(c),
        .in0(1'b1),
        .in1(d),
        .out(mux_out)
    );

    assign mux_in[3] = mux_out;

endmodule

module mux2to1 (
    input sel,
    input in0,
    input in1,
    output out
);

    assign out = sel ? in1 : in0;

endmodule

module top_module (
    input c,
    input d,
    output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? 1'b1 : 1'b0;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c | d;
    assign mux_in[3] = ~d;

endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? 1'b1 : c;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c | d;
    assign mux_in[3] = ~d;

endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = c | d;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c & d;

    mux2to1 mux_3 (
        .sel(c),
        .in0(~d),
        .in1(d),
        .out(mux_out)
    );

    assign mux_in[3] = mux_out;

endmodule

module mux2to1 (
    input sel,
    input in0,
    input in1,
    output out
);
    assign out = sel ? in1 : in0;
endmodule

module top_module (
	input c,
	input d,
	output [3:0] mux_in
);

    wire mux_out;

    assign mux_in[0] = d ? 1'b1 : 1'b0;
    assign mux_in[1] = 1'b0;
    assign mux_in[2] = c ? 1'b1 : 1'b0;

    assign mux_out = c ? 1'b1 : 1'b0;
    assign mux_in[3] = d ? mux_out : 1'b1;

endmodule


module top_module (
	input clk,
	input areset,
	input x,
	output z
);

    reg [1:0] state, next_state;
    parameter A = 2'b01, B = 2'b10;

    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            A: next_state = x ? B : A;
            B: next_state = B;
            default: next_state = A;
        endcase
    end

    assign z = (state == A & x) | (state == B & ~x);

endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output z
);

    reg [1:0] state, next_state;
    parameter A = 2'b01, B = 2'b10;

    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            A: next_state = x ? B : A;
            B: next_state = B;
            default: next_state = A;
        endcase
    end

    assign z = (state == A && x) || (state == B && !x);

endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output z
);

    parameter A = 2'b01;
    parameter B = 2'b10;

    reg [1:0] state, next_state;

    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            A: next_state = x ? B : A;
            B: next_state = B;
            default: next_state = A;
        endcase
    end

    assign z = (state == A && x) || (state == B && !x);

endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output z
);

    reg [1:0] state;
    parameter A = 2'b01, B = 2'b10;

    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A;
        else
            case (state)
                A: state <= x ? B : A;
                B: state <= B;
                default: state <= A;
            endcase
    end

    assign z = (state == A && x) || (state == B && !x);

endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output z
);

    reg [1:0] state;
    parameter A = 2'b01, B = 2'b10;

    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A;
        else
            case (state)
                A: state <= x ? B : A;
                B: state <= B;
                default: state <= A;
            endcase
    end

    assign z = (state == A & x) | (state == B & ~x);

endmodule

module top_module (
    input clk,
    input areset,
    input x,
    output z
);

    localparam STATE_A = 2'b01;
    localparam STATE_B = 2'b10;

    reg [1:0] state, next_state;

    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= STATE_A;
        else
            state <= next_state;
    end

    always @(*) begin
        case (state)
            STATE_A: next_state = x ? STATE_B : STATE_A;
            STATE_B: next_state = STATE_B;
            default: next_state = STATE_A;
        endcase
    end

    assign z = (state == STATE_A && x) || (state == STATE_B && !x);

endmodule

module top_module (
	input clk,
	input areset,
	input x,
	output z
);

    reg [1:0] state;
    parameter A = 2'b01, B = 2'b10;

    always @(posedge clk or posedge areset) begin
        if (areset)
            state <= A;
        else
            case (state)
                A: state <= x ? B : A;
                B: state <= B;
                default: state <= A;
            endcase
    end

    assign z = (state == A && x) || (state == B && ~x);

endmodule


module top_module (
	input clk,
	input a,
	input b,
	output q,
	output state
);

    reg state;

    always @(posedge clk) begin
        if (a && b)
            state <= 1'b1;
        else if (!a && !b)
            state <= 1'b0;
    end

    assign q = (state && !a && !b) || (!state && ((a && !b) || (!a && b)));

endmodule

module top_module (
	input clk,
	input a,
	input b,
	output q,
	output state
);

    reg state;

    always @(posedge clk) begin
        if (a && b)
            state <= 1'b1;
        else if (!a && !b)
            state <= 1'b0;
    end

    assign q = (state) ? (!a && b) || (a && !b) : (a || b);

endmodule

module top_module (
	input clk,
	input a,
	input b,
	output q,
	output state
);

    reg state;

    always @(posedge clk) begin
        if (a & b)
            state <= 1'b1;
        else if (~a & ~b)
            state <= 1'b0;
    end

    assign q = (state & ~a & ~b) | (~state & ((~a & b) | (a & ~b)));

endmodule

module top_module (
	input clk,
	input a,
	input b,
	output q,
	output state
);

    reg state;

    always @(posedge clk) begin
        if (a && b)
            state <= 1'b1;
        else if (!a && !b)
            state <= 1'b0;
    end

    assign q = (state == 1'b0) ? (a ^ b) : !(a ^ b);

endmodule

module top_module (
	input clk,
	input a,
	input b,
	output q,
	output state
);

    reg state;

    always @(posedge clk) begin
        if (a && b)
            state <= 1'b1;
        else if (!a && !b)
            state <= 1'b0;
    end

    assign q = (state && !a && !b) || (!state && (a ^ b));

endmodule

module top_module (
	input clk,
	input a,
	input b,
	output q,
	output state
);

    reg state;

    always @(posedge clk) begin
        if (a && b && !state)
            state <= 1'b1;
        else if (!a && !b && state)
            state <= 1'b0;
    end

    assign q = (a ^ b) | state;

endmodule

module top_module (
	input clk,
	input a,
	input b,
	output q,
	output state
);

    reg state_reg;

    always @(posedge clk) begin
        if (a && b)
            state_reg <= 1'b1;
        else if (!a && !b)
            state_reg <= 1'b0;
    end

    assign state = state_reg;
    assign q = (a ^ b) ^ state_reg;

endmodule

module top_module (
	input clk,
	input a,
	input b,
	output q,
	output state
);

    reg state_reg;

    always @(posedge clk) begin
        if (a && b)
            state_reg <= 1'b1;
        else if (!a && !b)
            state_reg <= 1'b0;
    end

    assign state = state_reg;
    assign q = (state_reg && !a && !b) || (!state_reg && ((a && !b) || (!a && b)));

endmodule


module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

	reg [3:0] state, next_state;
	parameter S0 = 4'd0, S1 = 4'd1, S2 = 4'd2, S3 = 4'd3, S4 = 4'd4, S5 = 4'd5, S6 = 4'd6, S7 = 4'd7;

	always @(posedge clk) begin
		if (reset)
			state <= S0;
		else
			state <= next_state;
	end

	always @(*) begin
		next_state = state;
		case (state)
			S0: next_state = in ? S1 : S0;
			S1: next_state = in ? S2 : S0;
			S2: next_state = in ? S3 : S0;
			S3: next_state = in ? S4 : S0;
			S4: next_state = in ? S5 : S0;
			S5: next_state = in ? S6 : S0;
			S6: next_state = in ? S7 : S0;
			S7: next_state = in ? S7 : S0;
		endcase
	end

	always @(posedge clk) begin
		if (reset) begin
			disc <= 0;
			flag <= 0;
			err <= 0;
		end
		else begin
			disc <= (state == S5) && !in;
			flag <= (state == S6) && !in;
			err <= (state == S7);
		end
	end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

    parameter S0 = 3'd0, S1 = 3'd1, S2 = 3'd2, S3 = 3'd3, S4 = 3'd4, S5 = 3'd5, S6 = 3'd6;
    reg [2:0] state, next_state;

    always @(posedge clk) begin
        if (reset) state <= S0;
        else state <= next_state;
    end

    always @(*) begin
        next_state = state;
        case (state)
            S0: next_state = in ? S1 : S0;
            S1: next_state = in ? S2 : S0;
            S2: next_state = in ? S3 : S0;
            S3: next_state = in ? S4 : S0;
            S4: next_state = in ? S5 : S0;
            S5: next_state = in ? S6 : S0;
            S6: next_state = in ? S6 : S0;
        endcase
    end

    always @(posedge clk) begin
        if (reset) begin
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            disc <= (state == S5) && !in;
            flag <= (state == S6) && !in;
            err <= (state == S6) && in;
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output disc,
	output flag,
	output err
);

	reg [3:0] state, next_state;
	reg disc_r, flag_r, err_r;

	parameter S0 = 4'd0, S1 = 4'd1, S2 = 4'd2, S3 = 4'd3, S4 = 4'd4, S5 = 4'd5, S6 = 4'd6, S7 = 4'd7;

	always @(posedge clk) begin
		if (reset) begin
			state <= S0;
			disc_r <= 1'b0;
			flag_r <= 1'b0;
			err_r <= 1'b0;
		end else begin
			state <= next_state;
			disc_r <= (state == S5 && in == 1'b0);
			flag_r <= (state == S6 && in == 1'b0);
			err_r <= (state == S6 && in == 1'b1);
		end
	end

	always @(*) begin
		case (state)
			S0: next_state = in ? S1 : S0;
			S1: next_state = in ? S2 : S0;
			S2: next_state = in ? S3 : S0;
			S3: next_state = in ? S4 : S0;
			S4: next_state = in ? S5 : S0;
			S5: next_state = in ? S6 : S0;
			S6: next_state = in ? S7 : S0;
			S7: next_state = in ? S7 : S0;
			default: next_state = S0;
		endcase
	end

	assign disc = disc_r;
	assign flag = flag_r;
	assign err = err_r;

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

    parameter S0 = 3'd0, S1 = 3'd1, S2 = 3'd2, S3 = 3'd3, S4 = 3'd4, S5 = 3'd5, S6 = 3'd6;
    reg [2:0] state, next_state;

    always @(posedge clk) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    always @(*) begin
        next_state = state;
        case (state)
            S0: next_state = in ? S1 : S0;
            S1: next_state = in ? S2 : S0;
            S2: next_state = in ? S3 : S0;
            S3: next_state = in ? S4 : S0;
            S4: next_state = in ? S5 : S0;
            S5: next_state = in ? S6 : S0;
            S6: next_state = in ? S6 : S0;
        endcase
    end

    always @(posedge clk) begin
        if (reset) begin
            disc <= 0;
            flag <= 0;
            err <= 0;
        end
        else begin
            disc <= (state == S5 && !in);
            flag <= (state == S6 && !in);
            err <= (state == S6 && in);
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output disc,
	output flag,
	output err
);

    reg [3:0] state, next_state;
    reg disc_r, flag_r, err_r;

    parameter S0 = 4'd0, S1 = 4'd1, S2 = 4'd2, S3 = 4'd3, S4 = 4'd4, S5 = 4'd5, S6 = 4'd6, S7 = 4'd7;

    always @(posedge clk) begin
        if (reset) begin
            state <= S0;
            disc_r <= 0;
            flag_r <= 0;
            err_r <= 0;
        end else begin
            state <= next_state;
            disc_r <= (state == S5 && in == 0);
            flag_r <= (state == S6 && in == 0);
            err_r <= (state == S6 && in == 1);
        end
    end

    always @(*) begin
        case (state)
            S0: next_state = in ? S1 : S0;
            S1: next_state = in ? S2 : S0;
            S2: next_state = in ? S3 : S0;
            S3: next_state = in ? S4 : S0;
            S4: next_state = in ? S5 : S0;
            S5: next_state = in ? S6 : S0;
            S6: next_state = in ? S7 : S0;
            S7: next_state = S7;
            default: next_state = S0;
        endcase
    end

    assign disc = disc_r;
    assign flag = flag_r;
    assign err = err_r;

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output disc,
	output flag,
	output err
);

	parameter S0 = 3'd0, S1 = 3'd1, S2 = 3'd2, S3 = 3'd3, S4 = 3'd4, S5 = 3'd5, S6 = 3'd6;

	reg [2:0] state, next_state;
	reg disc_r, flag_r, err_r;

	always @(posedge clk) begin
		if (reset) begin
			state <= S0;
		end else begin
			state <= next_state;
		end
	end

	always @(*) begin
		next_state = state;
		disc_r = 1'b0;
		flag_r = 1'b0;
		err_r = 1'b0;

		case (state)
			S0: next_state = in ? S1 : S0;
			S1: next_state = in ? S2 : S0;
			S2: next_state = in ? S3 : S0;
			S3: next_state = in ? S4 : S0;
			S4: next_state = in ? S5 : S0;
			S5: begin
				if (in) begin
					next_state = S6;
					disc_r = 1'b1;
				end else begin
					next_state = S0;
					flag_r = 1'b1;
				end
			end
			S6: begin
				if (in) begin
					next_state = S6;
					err_r = 1'b1;
				end else begin
					next_state = S0;
					flag_r = 1'b1;
				end
			end
		endcase
	end

	assign disc = disc_r;
	assign flag = flag_r;
	assign err = err_r;

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

	reg [2:0] state, next_state;
	parameter S0 = 3'd0, S1 = 3'd1, S2 = 3'd2, S3 = 3'd3, S4 = 3'd4, S5 = 3'd5, S6 = 3'd6;

	always @(posedge clk) begin
		if (reset)
			state <= S0;
		else
			state <= next_state;
	end

	always @(*) begin
		next_state = state;
		case (state)
			S0: next_state = in ? S1 : S0;
			S1: next_state = in ? S2 : S0;
			S2: next_state = in ? S3 : S0;
			S3: next_state = in ? S4 : S0;
			S4: next_state = in ? S5 : S0;
			S5: next_state = in ? S6 : S0;
			S6: next_state = in ? S6 : S0;
		endcase
	end

	always @(posedge clk) begin
		disc <= (state == S5 && !in);
		flag <= (state == S6 && !in);
		err <= (state == S6 && in);
	end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

	parameter S0 = 3'd0, S1 = 3'd1, S2 = 3'd2, S3 = 3'd3, S4 = 3'd4, S5 = 3'd5, S6 = 3'd6;
	reg [2:0] state, next_state;

	always @(posedge clk) begin
		if (reset)
			state <= S0;
		else
			state <= next_state;
	end

	always @(*) begin
		next_state = S0;
		case (state)
			S0: next_state = in ? S1 : S0;
			S1: next_state = in ? S2 : S0;
			S2: next_state = in ? S3 : S0;
			S3: next_state = in ? S4 : S0;
			S4: next_state = in ? S5 : S0;
			S5: next_state = in ? S6 : S0;
			S6: next_state = in ? S6 : S0;
		endcase
	end

	always @(posedge clk) begin
		if (reset) begin
			disc <= 0;
			flag <= 0;
			err <= 0;
		end else begin
			disc <= (state == S5) && !in;
			flag <= (state == S6) && !in;
			err <= (state == S6) && in;
		end
	end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

	reg [3:0] state, next_state;
	parameter S0 = 4'd0, S1 = 4'd1, S2 = 4'd2, S3 = 4'd3, S4 = 4'd4, S5 = 4'd5, S6 = 4'd6, S7 = 4'd7;

	always @(posedge clk) begin
		if (reset)
			state <= S0;
		else
			state <= next_state;
	end

	always @(*) begin
		next_state = S0;
		case (state)
			S0: next_state = in ? S1 : S0;
			S1: next_state = in ? S2 : S0;
			S2: next_state = in ? S3 : S0;
			S3: next_state = in ? S4 : S0;
			S4: next_state = in ? S5 : S0;
			S5: next_state = in ? S6 : S0;
			S6: next_state = in ? S7 : S0;
			S7: next_state = in ? S7 : S0;
		endcase
	end

	always @(posedge clk) begin
		if (reset) begin
			disc <= 0;
			flag <= 0;
			err <= 0;
		end
		else begin
			disc <= (state == S5 && !in);
			flag <= (state == S6 && !in);
			err <= (state == S7);
		end
	end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

    reg [3:0] state, next_state;
    parameter S0 = 4'd0, S1 = 4'd1, S2 = 4'd2, S3 = 4'd3, S4 = 4'd4, S5 = 4'd5, S6 = 4'd6, S7 = 4'd7;

    always @(posedge clk) begin
        if (reset) state <= S0;
        else state <= next_state;
    end

    always @(*) begin
        next_state = S0;
        case (state)
            S0: next_state = in ? S1 : S0;
            S1: next_state = in ? S2 : S0;
            S2: next_state = in ? S3 : S0;
            S3: next_state = in ? S4 : S0;
            S4: next_state = in ? S5 : S0;
            S5: next_state = in ? S6 : S0;
            S6: next_state = in ? S7 : S0;
            S7: next_state = in ? S7 : S0;
        endcase
    end

    always @(posedge clk) begin
        if (reset) begin
            disc <= 0;
            flag <= 0;
            err <= 0;
        end else begin
            disc <= (state == S5) && !in;
            flag <= (state == S6) && !in;
            err <= (state == S7);
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

    parameter S0 = 3'd0, S1 = 3'd1, S2 = 3'd2, S3 = 3'd3, S4 = 3'd4, S5 = 3'd5, S6 = 3'd6;

    reg [2:0] state, next_state;

    always @(posedge clk) begin
        if (reset) begin
            state <= S0;
        end else begin
            state <= next_state;
        end
    end

    always @(*) begin
        next_state = state;
        disc = 1'b0;
        flag = 1'b0;
        err = 1'b0;

        case (state)
            S0: next_state = in ? S1 : S0;
            S1: next_state = in ? S2 : S0;
            S2: next_state = in ? S3 : S0;
            S3: next_state = in ? S4 : S0;
            S4: next_state = in ? S5 : S0;
            S5: begin
                next_state = in ? S6 : S0;
                disc = ~in;
            end
            S6: begin
                if (in) begin
                    next_state = S6;
                    err = 1'b1;
                end else begin
                    next_state = S0;
                    flag = 1'b1;
                end
            end
        endcase
    end

endmodule

module top_module (
	input clk,
	input reset,
	input in,
	output reg disc,
	output reg flag,
	output reg err
);

    reg [3:0] state, next_state;

    localparam S0 = 4'd0,
               S1 = 4'd1,
               S2 = 4'd2,
               S3 = 4'd3,
               S4 = 4'd4,
               S5 = 4'd5,
               S6 = 4'd6,
               S7 = 4'd7;

    always @(posedge clk) begin
        if (reset)
            state <= S0;
        else
            state <= next_state;
    end

    always @(*) begin
        next_state = state;
        case (state)
            S0: next_state = in ? S1 : S0;
            S1: next_state = in ? S2 : S0;
            S2: next_state = in ? S3 : S0;
            S3: next_state = in ? S4 : S0;
            S4: next_state = in ? S5 : S0;
            S5: next_state = in ? S6 : S0;
            S6: next_state = in ? S7 : S0;
            S7: next_state = in ? S7 : S0;
        endcase
    end

    always @(posedge clk) begin
        if (reset) begin
            disc <= 0;
            flag <= 0;
            err <= 0;
        end
        else begin
            disc <= (state == S5) && !in;
            flag <= (state == S6) && !in;
            err <= (state == S7);
        end
    end

endmodule


module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    localparam IDLE = 3'd0, DETECT = 3'd1, READ_DELAY = 3'd2, COUNT = 3'd3, FINISH = 3'd4;
    reg [2:0] state, next_state;
    reg [3:0] pattern, delay;
    reg [3:0] delay_counter;
    reg [9:0] cycle_counter;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            delay_counter <= 4'b0000;
            cycle_counter <= 10'b0;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            state <= next_state;
            case (state)
                IDLE: pattern <= {pattern[2:0], data};
                DETECT: pattern <= {pattern[2:0], data};
                READ_DELAY: delay <= {delay[2:0], data};
                COUNT: begin
                    if (cycle_counter == 10'd999) begin
                        cycle_counter <= 10'b0;
                        if (delay_counter == 4'b0) begin
                            counting <= 1'b0;
                        end else begin
                            delay_counter <= delay_counter - 1'b1;
                        end
                    end else begin
                        cycle_counter <= cycle_counter + 1'b1;
                    end
                end
            endcase
        end
    end

    always @(*) begin
        next_state = state;
        case (state)
            IDLE: if (pattern == 4'b1101) next_state = DETECT;
            DETECT: next_state = READ_DELAY;
            READ_DELAY: begin
                if (delay_counter == 4'b0011) begin
                    next_state = COUNT;
                    delay_counter = delay;
                    counting = 1'b1;
                end else begin
                    delay_counter = delay_counter + 1'b1;
                end
            end
            COUNT: if (delay_counter == 4'b0 && cycle_counter == 10'd999) next_state = FINISH;
            FINISH: if (ack) next_state = IDLE;
        endcase
    end

    always @(posedge clk) begin
        if (state == FINISH) done <= 1'b1;
        else if (ack) done <= 1'b0;
    end

    assign count = (state == COUNT) ? delay_counter : 4'bxxxx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] state;
    reg [3:0] delay;
    reg [3:0] pattern;
    reg [13:0] timer;
    reg [3:0] remaining;

    parameter IDLE = 4'd0, READ_PATTERN = 4'd1, READ_DELAY = 4'd2, COUNT = 4'd3, FINISH = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0;
            delay <= 4'b0;
            timer <= 14'd0;
            counting <= 1'b0;
            done <= 1'b0;
            remaining <= 4'b0;
        end else begin
            case (state)
                IDLE: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) state <= READ_DELAY;
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    if (&delay[3:1]) state <= COUNT;
                end
                COUNT: begin
                    if (timer == 14'd0) begin
                        timer <= (delay + 1'b1) * 1000 - 1'b1;
                        counting <= 1'b1;
                        remaining <= delay;
                    end else if (timer == 14'd999) begin
                        timer <= timer - 1'b1;
                        remaining <= remaining - 1'b1;
                    end else if (timer == 14'd1) begin
                        timer <= timer - 1'b1;
                        state <= FINISH;
                        counting <= 1'b0;
                        done <= 1'b1;
                    end else begin
                        timer <= timer - 1'b1;
                    end
                end
                FINISH: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 1'b0;
                        pattern <= 4'b0;
                    end
                end
                default: state <= IDLE;
            endcase
        end
    end

    assign count = (state == COUNT) ? remaining : 4'bx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] delay;
    reg [3:0] current_count;
    reg [11:0] cycle_counter;
    reg [3:0] shift_reg;
    reg [2:0] state;

    localparam IDLE = 3'd0,
               DETECT = 3'd1,
               SHIFT = 3'd2,
               COUNT = 3'd3,
               FINISH = 3'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            counting <= 0;
            done <= 0;
            shift_reg <= 4'b0000;
            delay <= 4'b0000;
            current_count <= 4'b0000;
            cycle_counter <= 12'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    shift_reg <= {shift_reg[2:0], data};
                end
                DETECT: begin
                    shift_reg <= {shift_reg[2:0], data};
                    if (shift_reg == 4'b1101) begin
                        state <= SHIFT;
                        delay <= 4'b0000;
                    end
                end
                SHIFT: begin
                    delay <= {delay[2:0], data};
                    if (&cycle_counter[1:0]) begin
                        state <= COUNT;
                        counting <= 1;
                        current_count <= delay;
                        cycle_counter <= 12'd0;
                    end else begin
                        cycle_counter <= cycle_counter + 1;
                    end
                end
                COUNT: begin
                    if (cycle_counter == 12'd999) begin
                        cycle_counter <= 12'd0;
                        if (current_count == 4'd0) begin
                            state <= FINISH;
                            counting <= 0;
                            done <= 1;
                        end else begin
                            current_count <= current_count - 1;
                        end
                    end else begin
                        cycle_counter <= cycle_counter + 1;
                    end
                end
                FINISH: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 0;
                    end
                end
            endcase
        end
    end

    assign count = (state == COUNT) ? current_count : 4'bxxxx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] delay;
    reg [3:0] pattern;
    reg [11:0] counter;
    reg [3:0] state;
    reg [3:0] remaining_time;

    parameter IDLE = 4'd0, DETECT = 4'd1, READ_DELAY = 4'd2, COUNT = 4'd3, FINISH = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            counter <= 12'd0;
            counting <= 1'b0;
            done <= 1'b0;
            remaining_time <= 4'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    pattern <= 4'b0000;
                    counting <= 1'b0;
                    done <= 1'b0;
                end
                DETECT: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) state <= READ_DELAY;
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    if (&delay[2:0]) state <= COUNT;
                end
                COUNT: begin
                    if (counter == 12'd0) begin
                        counter <= 12'd999;
                        if (remaining_time == 4'd0) begin
                            state <= FINISH;
                            counting <= 1'b0;
                        end else begin
                            remaining_time <= remaining_time - 1'b1;
                        end
                    end else begin
                        counter <= counter - 1'b1;
                    end
                end
                FINISH: begin
                    done <= 1'b1;
                    if (ack) state <= IDLE;
                end
            endcase
        end
    end

    always @(posedge clk) begin
        if (reset) begin
            counting <= 1'b0;
        end else if (state == READ_DELAY && &delay[2:0]) begin
            counting <= 1'b1;
            remaining_time <= delay;
        end
    end

    assign count = (state == COUNT) ? remaining_time : 4'bxxxx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    parameter IDLE = 3'd0, DETECT = 3'd1, READ_DELAY = 3'd2, COUNTING = 3'd3, FINISHED = 3'd4;

    reg [2:0] state, next_state;
    reg [3:0] pattern, delay;
    reg [3:0] delay_count;
    reg [9:0] cycle_count;
    reg [3:0] bit_count;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0;
            delay <= 4'b0;
            delay_count <= 4'b0;
            cycle_count <= 10'b0;
            bit_count <= 4'b0;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            state <= next_state;

            case (state)
                IDLE: begin
                    pattern <= {pattern[2:0], data};
                end

                DETECT: begin
                    if (bit_count < 4) begin
                        delay <= {delay[2:0], data};
                        bit_count <= bit_count + 1'b1;
                    end
                end

                COUNTING: begin
                    if (cycle_count == 10'd999) begin
                        cycle_count <= 10'd0;
                        if (delay_count == 4'd0) begin
                            counting <= 1'b0;
                        end else begin
                            delay_count <= delay_count - 1'b1;
                        end
                    end else begin
                        cycle_count <= cycle_count + 1'b1;
                    end
                end

                FINISHED: begin
                    if (ack) begin
                        done <= 1'b0;
                    end
                end
            endcase
        end
    end

    always @(*) begin
        next_state = state;

        case (state)
            IDLE: begin
                if (pattern == 4'b1101) next_state = DETECT;
            end

            DETECT: begin
                if (bit_count == 4'd4) begin
                    next_state = COUNTING;
                    counting = 1'b1;
                end
            end

            COUNTING: begin
                if (delay_count == 4'd0 && cycle_count == 10'd999) begin
                    next_state = FINISHED;
                    done = 1'b1;
                end
            end

            FINISHED: begin
                if (ack) next_state = IDLE;
            end
        endcase
    end

    assign count = (state == COUNTING) ? delay_count : 4'bx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    localparam IDLE = 3'd0, DETECT = 3'd1, DELAY = 3'd2, COUNT = 3'd3, FINISH = 3'd4;
    reg [2:0] state, next_state;
    reg [3:0] pattern, delay;
    reg [3:0] delay_count;
    reg [9:0] cycle_count;
    reg [3:0] remaining_time;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            delay_count <= 4'b0000;
            cycle_count <= 10'b0;
            remaining_time <= 4'b0000;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            state <= next_state;
            case (state)
                IDLE: pattern <= {pattern[2:0], data};
                DETECT: delay <= {delay[2:0], data};
                COUNT: begin
                    if (cycle_count == 10'd999) begin
                        cycle_count <= 10'b0;
                        if (delay_count < delay) begin
                            delay_count <= delay_count + 1'b1;
                            remaining_time <= remaining_time - 1'b1;
                        end
                    end else begin
                        cycle_count <= cycle_count + 1'b1;
                    end
                end
            endcase
        end
    end

    always @(*) begin
        next_state = state;
        case (state)
            IDLE: if (pattern == 4'b1101) next_state = DETECT;
            DETECT: if (delay_count == 4'd3) next_state = DELAY;
            DELAY: next_state = COUNT;
            COUNT: if ((delay_count == delay) && (cycle_count == 10'd999)) next_state = FINISH;
            FINISH: if (ack) next_state = IDLE;
        endcase
    end

    always @(*) begin
        counting = (state == COUNT);
        done = (state == FINISH);
    end

    assign count = (state == COUNT) ? remaining_time : 4'bxxxx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    parameter IDLE = 3'd0, DETECT = 3'd1, SHIFT = 3'd2, LOAD = 3'd3, COUNT = 3'd4, FINISH = 3'd5;
    reg [2:0] state, next_state;
    reg [3:0] pattern, delay;
    reg [3:0] counter;
    reg [13:0] timer;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            counter <= 4'b0000;
            timer <= 14'b0;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            state <= next_state;
            case (state)
                IDLE: pattern <= {pattern[2:0], data};
                DETECT: pattern <= {pattern[2:0], data};
                SHIFT: delay <= {delay[2:0], data};
                LOAD: begin
                    counter <= delay;
                    timer <= (delay + 1) * 1000;
                end
                COUNT: begin
                    if (timer > 0) begin
                        timer <= timer - 1;
                        if (timer % 1000 == 0) counter <= counter - 1;
                    end
                end
                FINISH: if (ack) done <= 1'b0;
            endcase
        end
    end

    always @(*) begin
        next_state = state;
        case (state)
            IDLE: if (pattern == 4'b1101) next_state = DETECT;
            DETECT: next_state = SHIFT;
            SHIFT: if (delay[3]) next_state = LOAD;
            LOAD: next_state = COUNT;
            COUNT: if (timer == 0) next_state = FINISH;
            FINISH: if (ack) next_state = IDLE;
        endcase
    end

    always @(*) begin
        counting = (state == COUNT);
        done = (state == FINISH);
    end

    assign count = (state == COUNT) ? counter : 4'bxxxx;

endmodule

module top_module(
    input wire clk,
    input wire reset,
    input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack
);

    reg [3:0] state;
    reg [3:0] delay;
    reg [3:0] pattern;
    reg [19:0] counter;
    reg [3:0] remaining_time;

    parameter IDLE = 4'd0, DETECT = 4'd1, DELAY_INPUT = 4'd2, COUNT = 4'd3, NOTIFY = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            counting <= 0;
            done <= 0;
            counter <= 20'd0;
            remaining_time <= 4'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    pattern <= 4'b0000;
                end
                DETECT: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) state <= DELAY_INPUT;
                end
                DELAY_INPUT: begin
                    delay <= {delay[2:0], data};
                    if (&delay[3:1]) state <= COUNT;
                end
                COUNT: begin
                    if (counter == 0) begin
                        counting <= 1;
                        counter <= (delay + 1) * 1000 - 1;
                        remaining_time <= delay;
                    end else if (counter % 1000 == 0) begin
                        remaining_time <= remaining_time - 1;
                    end

                    if (counter == 1) begin
                        state <= NOTIFY;
                        counting <= 0;
                        done <= 1;
                    end else begin
                        counter <= counter - 1;
                    end
                end
                NOTIFY: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 0;
                    end
                end
            endcase
        end
    end

    assign count = (state == COUNT) ? remaining_time : 4'bxxxx;

endmodule

module top_module(
    input wire clk,
    input wire reset,
    input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack
);

    reg [3:0] state;
    reg [3:0] pattern;
    reg [3:0] delay;
    reg [3:0] counter;
    reg [13:0] timer;

    parameter IDLE = 4'd0, DETECT = 4'd1, DELAY_READ = 4'd2, COUNT = 4'd3, FINISHED = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            counter <= 4'b0000;
            timer <= 14'd0;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    pattern <= 4'b0000;
                end
                DETECT: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) begin
                        state <= DELAY_READ;
                        delay <= 4'b0000;
                        counter <= 4'b0000;
                    end
                end
                DELAY_READ: begin
                    delay <= {delay[2:0], data};
                    counter <= counter + 1'b1;
                    if (counter == 4'b0011) begin
                        state <= COUNT;
                        timer <= (delay + 1'b1) * 1000;
                        counting <= 1'b1;
                    end
                end
                COUNT: begin
                    if (timer > 0) begin
                        timer <= timer - 1'b1;
                    end else begin
                        state <= FINISHED;
                        counting <= 1'b0;
                        done <= 1'b1;
                    end
                end
                FINISHED: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 1'b0;
                    end
                end
            endcase
        end
    end

    assign count = (state == COUNT) ? (timer - 1) / 1000 : 4'bxxxx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] state;
    reg [3:0] delay;
    reg [3:0] pattern;
    reg [11:0] counter;
    reg [3:0] remaining_time;

    parameter IDLE = 4'd0, DETECT = 4'd1, READ_DELAY = 4'd2, COUNTING = 4'd3, FINISHED = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0;
            delay <= 4'b0;
            counting <= 0;
            done <= 0;
            counter <= 12'd0;
            remaining_time <= 4'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    pattern <= 4'b0;
                end
                DETECT: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) begin
                        state <= READ_DELAY;
                        delay <= 4'b0;
                    end
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    if (&delay[3:1]) begin
                        state <= COUNTING;
                        counting <= 1;
                        counter <= 12'd0;
                        remaining_time <= delay;
                    end
                end
                COUNTING: begin
                    counter <= counter + 1;
                    if (counter == 12'd999) begin
                        counter <= 12'd0;
                        if (remaining_time == 4'd0) begin
                            state <= FINISHED;
                            counting <= 0;
                            done <= 1;
                        end else begin
                            remaining_time <= remaining_time - 1;
                        end
                    end
                end
                FINISHED: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 0;
                    end
                end
            endcase
        end
    end

    assign count = (state == COUNTING) ? remaining_time : 4'bx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] delay;
    reg [3:0] current_count;
    reg [11:0] cycle_count;
    reg [3:0] shift_reg;
    reg [2:0] state;

    localparam SEARCH = 3'd0, READ_DELAY = 3'd1, COUNT = 3'd2, NOTIFY = 3'd3;

    always @(posedge clk) begin
        if (reset) begin
            state <= SEARCH;
            shift_reg <= 4'b0;
            delay <= 4'b0;
            counting <= 1'b0;
            done <= 1'b0;
            current_count <= 4'b0;
            cycle_count <= 12'b0;
        end else begin
            case (state)
                SEARCH: begin
                    shift_reg <= {shift_reg[2:0], data};
                    if (shift_reg == 4'b1101) begin
                        state <= READ_DELAY;
                        delay <= 4'b0;
                    end
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    if (&cycle_count[1:0]) begin
                        state <= COUNT;
                        counting <= 1'b1;
                        current_count <= delay;
                        cycle_count <= 12'd999;
                    end else begin
                        cycle_count <= cycle_count + 1'b1;
                    end
                end
                COUNT: begin
                    if (cycle_count == 12'd0) begin
                        if (current_count == 4'd0) begin
                            state <= NOTIFY;
                            counting <= 1'b0;
                            done <= 1'b1;
                        end else begin
                            current_count <= current_count - 1'b1;
                            cycle_count <= 12'd999;
                        end
                    end else begin
                        cycle_count <= cycle_count - 1'b1;
                    end
                end
                NOTIFY: begin
                    if (ack) begin
                        state <= SEARCH;
                        shift_reg <= 4'b0;
                        done <= 1'b0;
                    end
                end
            endcase
        end
    end

    assign count = (state == COUNT) ? current_count : 4'bx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] state;
    reg [3:0] delay;
    reg [3:0] pattern;
    reg [11:0] counter;
    reg [3:0] remaining_time;

    parameter IDLE = 4'd0, DETECT = 4'd1, READ_DELAY = 4'd2, COUNT = 4'd3, FINISHED = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            counting <= 0;
            done <= 0;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            counter <= 12'd0;
            remaining_time <= 4'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    pattern <= 4'b0000;
                end
                DETECT: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) state <= READ_DELAY;
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    if (&delay[3:1]) begin
                        state <= COUNT;
                        counting <= 1;
                        counter <= 12'd0;
                        remaining_time <= delay;
                    end
                end
                COUNT: begin
                    if (counter == 12'd999) begin
                        counter <= 12'd0;
                        if (remaining_time == 4'd0) begin
                            state <= FINISHED;
                            counting <= 0;
                            done <= 1;
                        end else begin
                            remaining_time <= remaining_time - 1;
                        end
                    end else begin
                        counter <= counter + 1;
                    end
                end
                FINISHED: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 0;
                    end
                end
            endcase
        end
    end

    assign count = (state == COUNT) ? remaining_time : 4'bxxxx;

endmodule

module top_module(
    input wire clk,
    input wire reset,
    input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack
);

    reg [3:0] state;
    reg [3:0] delay;
    reg [3:0] pattern;
    reg [19:0] counter;
    reg [3:0] remaining_time;

    localparam IDLE = 4'd0, DETECT = 4'd1, READ_DELAY = 4'd2, COUNT = 4'd3, FINISHED = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            counting <= 1'b0;
            done <= 1'b0;
            counter <= 20'd0;
            remaining_time <= 4'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    pattern <= 4'b0000;
                end
                DETECT: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) state <= READ_DELAY;
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    if (&delay[3:1]) begin
                        state <= COUNT;
                        counting <= 1'b1;
                        counter <= (delay + 1) * 1000;
                        remaining_time <= delay;
                    end
                end
                COUNT: begin
                    if (counter > 0) begin
                        counter <= counter - 1;
                        if (counter % 1000 == 1) remaining_time <= remaining_time - 1;
                    end else begin
                        state <= FINISHED;
                        counting <= 1'b0;
                        done <= 1'b1;
                    end
                end
                FINISHED: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 1'b0;
                    end
                end
            endcase
        end
    end

    assign count = (state == COUNT) ? remaining_time : 4'bxxxx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] state;
    reg [3:0] delay;
    reg [3:0] pattern;
    reg [19:0] timer;
    reg [3:0] remaining_time;

    localparam IDLE = 4'd0, DETECT = 4'd1, READ_DELAY = 4'd2, COUNT = 4'd3, FINISH = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            timer <= 20'd0;
            counting <= 1'b0;
            done <= 1'b0;
            remaining_time <= 4'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    pattern <= 4'b0000;
                end
                DETECT: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) begin
                        state <= READ_DELAY;
                        delay <= 4'b0000;
                    end
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    if (&delay[3:1]) begin
                        state <= COUNT;
                        timer <= 20'd0;
                        counting <= 1'b1;
                        remaining_time <= delay;
                    end
                end
                COUNT: begin
                    if (timer == ((delay + 1) * 1000) - 1) begin
                        state <= FINISH;
                        counting <= 1'b0;
                        done <= 1'b1;
                    end else begin
                        timer <= timer + 1;
                        if (timer[9:0] == 10'd999) begin
                            remaining_time <= remaining_time - 1;
                        end
                    end
                end
                FINISH: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 1'b0;
                    end
                end
                default: state <= IDLE;
            endcase
        end
    end

    assign count = (state == COUNT) ? remaining_time : 4'bxxxx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] state;
    reg [3:0] delay;
    reg [3:0] shift_reg;
    reg [13:0] counter;
    reg [3:0] remaining_time;

    localparam IDLE = 4'd0,
               DETECT = 4'd1,
               SHIFT = 4'd2,
               COUNT = 4'd3,
               NOTIFY = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            delay <= 4'd0;
            shift_reg <= 4'd0;
            counter <= 14'd0;
            counting <= 1'b0;
            done <= 1'b0;
            remaining_time <= 4'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    shift_reg <= {shift_reg[2:0], data};
                end
                DETECT: begin
                    shift_reg <= {shift_reg[2:0], data};
                    if (shift_reg == 4'b1101) begin
                        state <= SHIFT;
                        delay <= 4'd0;
                    end
                end
                SHIFT: begin
                    delay <= {delay[2:0], data};
                    if (&counter[1:0]) begin
                        state <= COUNT;
                        counter <= 14'd0;
                        counting <= 1'b1;
                        remaining_time <= delay;
                    end else begin
                        counter <= counter + 1'b1;
                    end
                end
                COUNT: begin
                    if (counter == ((delay + 1'b1) * 1000) - 1) begin
                        state <= NOTIFY;
                        counting <= 1'b0;
                        done <= 1'b1;
                    end else begin
                        counter <= counter + 1'b1;
                        if (counter[9:0] == 10'd999) begin
                            remaining_time <= remaining_time - 1'b1;
                        end
                    end
                end
                NOTIFY: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 1'b0;
                    end
                end
            endcase
        end
    end

    assign count = remaining_time;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    localparam IDLE = 3'd0, DETECT = 3'd1, DELAY_READ = 3'd2, COUNT = 3'd3, DONE = 3'd4;
    reg [2:0] state, next_state;
    reg [3:0] pattern, delay;
    reg [3:0] delay_count;
    reg [9:0] cycle_count;
    reg [3:0] remaining_time;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0;
            delay <= 4'b0;
            delay_count <= 4'b0;
            cycle_count <= 10'b0;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            state <= next_state;
            case (state)
                IDLE: pattern <= {pattern[2:0], data};
                DETECT: pattern <= {pattern[2:0], data};
                DELAY_READ: begin
                    delay <= {delay[2:0], data};
                    delay_count <= delay_count + 1'b1;
                end
                COUNT: begin
                    if (cycle_count == 10'd999) begin
                        cycle_count <= 10'd0;
                        if (remaining_time > 4'd0)
                            remaining_time <= remaining_time - 1'b1;
                    end else
                        cycle_count <= cycle_count + 1'b1;
                end
            endcase
        end
    end

    always @(*) begin
        next_state = state;
        case (state)
            IDLE: if (pattern == 4'b1101) next_state = DETECT;
            DETECT: if (pattern == 4'b1101) next_state = DELAY_READ;
            DELAY_READ: if (delay_count == 4'd3) next_state = COUNT;
            COUNT: if (remaining_time == 4'd0 && cycle_count == 10'd999) next_state = DONE;
            DONE: if (ack) next_state = IDLE;
        endcase
    end

    always @(posedge clk) begin
        if (reset) begin
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            case (next_state)
                COUNT: counting <= 1'b1;
                DONE: begin
                    counting <= 1'b0;
                    done <= 1'b1;
                end
                IDLE: done <= 1'b0;
            endcase
        end
    end

    always @(posedge clk) begin
        if (reset)
            remaining_time <= 4'd0;
        else if (state == DELAY_READ && delay_count == 4'd3)
            remaining_time <= delay + 1'b1;
    end

    assign count = (state == COUNT) ? remaining_time : 4'bx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    reg [3:0] state;
    reg [3:0] delay;
    reg [3:0] pattern;
    reg [13:0] counter;
    reg [3:0] count_reg;

    localparam IDLE = 4'd0, DETECT = 4'd1, READ_DELAY = 4'd2, COUNT = 4'd3, FINISHED = 4'd4;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            delay <= 4'd0;
            pattern <= 4'd0;
            counter <= 14'd0;
            counting <= 1'b0;
            done <= 1'b0;
            count_reg <= 4'd0;
        end else begin
            case (state)
                IDLE: begin
                    state <= DETECT;
                    pattern <= {pattern[2:0], data};
                end
                DETECT: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) begin
                        state <= READ_DELAY;
                        delay <= 4'd0;
                    end
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    if (&counter[1:0]) begin
                        state <= COUNT;
                        counter <= 14'd0;
                        counting <= 1'b1;
                        count_reg <= delay;
                    end
                    counter <= counter + 1'b1;
                end
                COUNT: begin
                    if (counter == 14'd999) begin
                        counter <= 14'd0;
                        if (count_reg == 4'd0) begin
                            state <= FINISHED;
                            counting <= 1'b0;
                            done <= 1'b1;
                        end else begin
                            count_reg <= count_reg - 1'b1;
                        end
                    end else begin
                        counter <= counter + 1'b1;
                    end
                end
                FINISHED: begin
                    if (ack) begin
                        state <= IDLE;
                        done <= 1'b0;
                        pattern <= 4'd0;
                    end
                end
                default: state <= IDLE;
            endcase
        end
    end

    assign count = (state == COUNT) ? count_reg : 4'bx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    localparam [2:0] SEARCH = 3'd0,
                     READ_DELAY = 3'd1,
                     COUNT = 3'd2,
                     NOTIFY = 3'd3;

    reg [2:0] state, next_state;
    reg [3:0] delay, delay_counter;
    reg [3:0] pattern;
    reg [9:0] cycle_counter;
    reg [3:0] bit_counter;

    always @(posedge clk) begin
        if (reset) begin
            state <= SEARCH;
            pattern <= 4'b0;
            delay <= 4'b0;
            bit_counter <= 4'b0;
            cycle_counter <= 10'b0;
            delay_counter <= 4'b0;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            state <= next_state;
            case (state)
                SEARCH: begin
                    pattern <= {pattern[2:0], data};
                    if (pattern == 4'b1101) begin
                        bit_counter <= 4'd4;
                    end
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                    bit_counter <= bit_counter - 1'b1;
                end
                COUNT: begin
                    if (cycle_counter == 10'd999) begin
                        cycle_counter <= 10'd0;
                        if (delay_counter == 4'd0) begin
                            counting <= 1'b0;
                        end else begin
                            delay_counter <= delay_counter - 1'b1;
                        end
                    end else begin
                        cycle_counter <= cycle_counter + 1'b1;
                    end
                end
                NOTIFY: begin
                    done <= 1'b1;
                end
            endcase
        end
    end

    always @(*) begin
        next_state = state;
        case (state)
            SEARCH: begin
                if (pattern == 4'b1101) next_state = READ_DELAY;
            end
            READ_DELAY: begin
                if (bit_counter == 4'd0) begin
                    next_state = COUNT;
                    counting = 1'b1;
                end
            end
            COUNT: begin
                if (delay_counter == 4'd0 && cycle_counter == 10'd999) next_state = NOTIFY;
            end
            NOTIFY: begin
                if (ack) begin
                    next_state = SEARCH;
                    done = 1'b0;
                end
            end
        endcase
    end

    assign count = (state == COUNT) ? delay_counter : 4'bx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    localparam IDLE = 3'd0, DETECT = 3'd1, DELAY = 3'd2, COUNT = 3'd3, FINISHED = 3'd4;
    reg [2:0] state, next_state;
    reg [3:0] pattern, delay;
    reg [3:0] counter;
    reg [13:0] cycle_counter;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0000;
            delay <= 4'b0000;
            counter <= 4'b0000;
            cycle_counter <= 14'd0;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            state <= next_state;
            case (state)
                IDLE: pattern <= {pattern[2:0], data};
                DETECT: delay <= {delay[2:0], data};
                COUNT: begin
                    if (cycle_counter == 14'd999) begin
                        cycle_counter <= 14'd0;
                        if (counter > 4'd0) counter <= counter - 4'd1;
                    end else begin
                        cycle_counter <= cycle_counter + 14'd1;
                    end
                end
            endcase
        end
    end

    always @(*) begin
        next_state = state;
        case (state)
            IDLE: if (pattern == 4'b1101) next_state = DETECT;
            DETECT: if (counter == 4'd3) next_state = COUNT;
            COUNT: if (counter == 4'd0 && cycle_counter == 14'd999) next_state = FINISHED;
            FINISHED: if (ack) next_state = IDLE;
        endcase
    end

    always @(posedge clk) begin
        if (reset) begin
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            case (state)
                COUNT: counting <= 1'b1;
                FINISHED: begin
                    counting <= 1'b0;
                    done <= 1'b1;
                end
                IDLE: done <= 1'b0;
            endcase
        end
    end

    assign count = (state == COUNT) ? counter : 4'bx;

endmodule

module top_module(
	input wire clk,
	input wire reset,
	input wire data,
    output wire [3:0] count,
    output reg counting,
    output reg done,
    input wire ack );

    localparam [2:0] IDLE = 3'd0,
                     DETECT = 3'd1,
                     READ_DELAY = 3'd2,
                     COUNT = 3'd3,
                     FINISHED = 3'd4;

    reg [2:0] state, next_state;
    reg [3:0] pattern, delay;
    reg [3:0] delay_count;
    reg [9:0] cycle_count;

    assign count = (state == COUNT) ? delay_count : 4'bx;

    always @(posedge clk) begin
        if (reset) begin
            state <= IDLE;
            pattern <= 4'b0;
            delay <= 4'b0;
            delay_count <= 4'b0;
            cycle_count <= 10'b0;
            counting <= 1'b0;
            done <= 1'b0;
        end else begin
            state <= next_state;

            case (state)
                IDLE, DETECT: begin
                    pattern <= {pattern[2:0], data};
                end
                READ_DELAY: begin
                    delay <= {delay[2:0], data};
                end
                COUNT: begin
                    if (cycle_count == 10'd999) begin
                        cycle_count <= 10'd0;
                        if (delay_count > 4'd0)
                            delay_count <= delay_count - 4'd1;
                    end else begin
                        cycle_count <= cycle_count + 10'd1;
                    end
                end
            endcase
        end
    end

    always @(*) begin
        next_state = state;
        counting = 1'b0;
        done = 1'b0;

        case (state)
            IDLE: begin
                if (pattern == 4'b1101)
                    next_state = READ_DELAY;
            end
            DETECT: begin
                if (pattern == 4'b1101)
                    next_state = READ_DELAY;
            end
            READ_DELAY: begin
                if (delay_count == 4'd3)
                    next_state = COUNT;
                delay_count = delay_count + 4'd1;
            end
            COUNT: begin
                counting = 1'b1;
                if (delay_count == 4'd0 && cycle_count == 10'd999)
                    next_state = FINISHED;
            end
            FINISHED: begin
                done = 1'b1;
                if (ack)
                    next_state = IDLE;
            end
        endcase
    end

endmodule


module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [3:1] prev_s;
    reg [2:0] state;

    always @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= 3'b000;
            prev_s <= 3'b000;
            fr3 <= 1;
            fr2 <= 1;
            fr1 <= 1;
            dfr <= 1;
        end else begin
            prev_s <= s;
            case (s)
                3'b111: begin
                    state <= 3'b111;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 0;
                    dfr <= 0;
                end
                3'b011: begin
                    state <= 3'b011;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b001: begin
                    state <= 3'b001;
                    fr3 <= 0;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b000: begin
                    state <= 3'b000;
                    fr3 <= 1;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= 1;
                end
                default: begin
                    state <= state;
                    fr3 <= fr3;
                    fr2 <= fr2;
                    fr1 <= fr1;
                    dfr <= dfr;
                end
            endcase
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

reg [3:1] prev_s;
reg [2:0] state;

always @(posedge clk) begin
    if (reset) begin
        state <= 3'b000;
        prev_s <= 3'b000;
        fr3 <= 1;
        fr2 <= 1;
        fr1 <= 1;
        dfr <= 1;
    end else begin
        prev_s <= s;
        case (s)
            3'b000: begin
                state <= 3'b000;
                fr3 <= 1;
                fr2 <= 1;
                fr1 <= 1;
                dfr <= (prev_s > s) ? 1 : dfr;
            end
            3'b001: begin
                state <= 3'b001;
                fr3 <= 0;
                fr2 <= 1;
                fr1 <= 1;
                dfr <= (prev_s > s) ? 1 : dfr;
            end
            3'b011: begin
                state <= 3'b011;
                fr3 <= 0;
                fr2 <= 0;
                fr1 <= 1;
                dfr <= (prev_s > s) ? 1 : dfr;
            end
            3'b111: begin
                state <= 3'b111;
                fr3 <= 0;
                fr2 <= 0;
                fr1 <= 0;
                dfr <= 0;
            end
            default: begin
                state <= state;
                fr3 <= fr3;
                fr2 <= fr2;
                fr1 <= fr1;
                dfr <= dfr;
            end
        endcase
    end
end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [3:1] prev_s;
    reg rising;

    always @(posedge clk or posedge reset) begin
        if (reset) begin
            fr3 <= 1;
            fr2 <= 1;
            fr1 <= 1;
            dfr <= 1;
            prev_s <= 3'b000;
            rising <= 0;
        end else begin
            prev_s <= s;

            if (s > prev_s)
                rising <= 1;
            else if (s < prev_s)
                rising <= 0;

            case (s)
                3'b111: begin // Above s[3]
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 0;
                    dfr <= 0;
                end
                3'b011: begin // Between s[3] and s[2]
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 1;
                    dfr <= rising;
                end
                3'b001: begin // Between s[2] and s[1]
                    fr3 <= 0;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= rising;
                end
                3'b000: begin // Below s[1]
                    fr3 <= 1;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= 1;
                end
                default: begin // Invalid state
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 0;
                    dfr <= 0;
                end
            endcase
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [3:1] prev_s;
    reg [2:0] state;

    always @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= 3'b000;
            prev_s <= 3'b000;
            fr3 <= 1;
            fr2 <= 1;
            fr1 <= 1;
            dfr <= 1;
        end else begin
            prev_s <= s;
            case (s)
                3'b111: begin // Above s[3]
                    state <= 3'b111;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 0;
                    dfr <= 0;
                end
                3'b011: begin // Between s[3] and s[2]
                    state <= 3'b011;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b001: begin // Between s[2] and s[1]
                    state <= 3'b001;
                    fr3 <= 0;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b000: begin // Below s[1]
                    state <= 3'b000;
                    fr3 <= 1;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= 1;
                end
                default: begin // Invalid state
                    state <= state;
                    fr3 <= fr3;
                    fr2 <= fr2;
                    fr1 <= fr1;
                    dfr <= dfr;
                end
            endcase
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [3:1] prev_s;
    reg [2:0] state;

    always @(posedge clk) begin
        if (reset) begin
            state <= 3'b000;
            prev_s <= 3'b000;
            fr3 <= 1;
            fr2 <= 1;
            fr1 <= 1;
            dfr <= 1;
        end else begin
            prev_s <= s;
            case (s)
                3'b111: begin
                    state <= 3'b111;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 0;
                    dfr <= 0;
                end
                3'b011: begin
                    state <= 3'b011;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b001: begin
                    state <= 3'b001;
                    fr3 <= 0;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b000: begin
                    state <= 3'b000;
                    fr3 <= 1;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= 1;
                end
                default: begin
                    state <= state;
                    fr3 <= fr3;
                    fr2 <= fr2;
                    fr1 <= fr1;
                    dfr <= dfr;
                end
            endcase
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

reg [3:1] prev_s;
reg [2:0] state;

parameter ABOVE_S3 = 3'b000;
parameter BETWEEN_S3_S2 = 3'b001;
parameter BETWEEN_S2_S1 = 3'b010;
parameter BELOW_S1 = 3'b011;

always @(posedge clk or posedge reset) begin
    if (reset) begin
        state <= BELOW_S1;
        prev_s <= 3'b000;
        fr3 <= 1;
        fr2 <= 1;
        fr1 <= 1;
        dfr <= 1;
    end else begin
        prev_s <= s;
        case (s)
            3'b111: state <= ABOVE_S3;
            3'b011: state <= BETWEEN_S3_S2;
            3'b001: state <= BETWEEN_S2_S1;
            3'b000: state <= BELOW_S1;
            default: state <= state;
        endcase

        case (state)
            ABOVE_S3: begin
                fr3 <= 0;
                fr2 <= 0;
                fr1 <= 0;
                dfr <= 0;
            end
            BETWEEN_S3_S2: begin
                fr3 <= 0;
                fr2 <= 0;
                fr1 <= 1;
                dfr <= (prev_s < s);
            end
            BETWEEN_S2_S1: begin
                fr3 <= 0;
                fr2 <= 1;
                fr1 <= 1;
                dfr <= (prev_s < s);
            end
            BELOW_S1: begin
                fr3 <= 1;
                fr2 <= 1;
                fr1 <= 1;
                dfr <= 1;
            end
        endcase
    end
end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [3:1] prev_s;
    reg [2:0] state;

    always @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= 3'b000;
            prev_s <= 3'b000;
            fr3 <= 1;
            fr2 <= 1;
            fr1 <= 1;
            dfr <= 1;
        end else begin
            prev_s <= s;
            case (s)
                3'b111: begin // Above s[3]
                    state <= 3'b111;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 0;
                    dfr <= 0;
                end
                3'b011: begin // Between s[3] and s[2]
                    state <= 3'b011;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b001: begin // Between s[2] and s[1]
                    state <= 3'b001;
                    fr3 <= 0;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b000: begin // Below s[1]
                    state <= 3'b000;
                    fr3 <= 1;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= 1;
                end
                default: begin // Invalid state, maintain previous state
                    fr3 <= fr3;
                    fr2 <= fr2;
                    fr1 <= fr1;
                    dfr <= dfr;
                end
            endcase
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [3:1] prev_s;
    reg [2:0] state;

    always @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= 3'b000;
            prev_s <= 3'b000;
            fr3 <= 1'b1;
            fr2 <= 1'b1;
            fr1 <= 1'b1;
            dfr <= 1'b1;
        end else begin
            prev_s <= s;
            case (s)
                3'b111: begin
                    state <= 3'b111;
                    fr3 <= 1'b0;
                    fr2 <= 1'b0;
                    fr1 <= 1'b0;
                    dfr <= 1'b0;
                end
                3'b011: begin
                    state <= 3'b011;
                    fr3 <= 1'b0;
                    fr2 <= 1'b0;
                    fr1 <= 1'b1;
                    dfr <= (prev_s < s) ? 1'b1 : 1'b0;
                end
                3'b001: begin
                    state <= 3'b001;
                    fr3 <= 1'b0;
                    fr2 <= 1'b1;
                    fr1 <= 1'b1;
                    dfr <= (prev_s < s) ? 1'b1 : 1'b0;
                end
                3'b000: begin
                    state <= 3'b000;
                    fr3 <= 1'b1;
                    fr2 <= 1'b1;
                    fr1 <= 1'b1;
                    dfr <= 1'b1;
                end
                default: begin
                    state <= state;
                    fr3 <= fr3;
                    fr2 <= fr2;
                    fr1 <= fr1;
                    dfr <= dfr;
                end
            endcase
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [3:1] prev_s;
    reg [2:0] state;

    always @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= 3'b000;
            prev_s <= 3'b000;
            fr3 <= 1;
            fr2 <= 1;
            fr1 <= 1;
            dfr <= 1;
        end else begin
            case (state)
                3'b000: begin // Below s[1]
                    if (s[1]) state <= 3'b001;
                    fr3 <= 1;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b001: begin // Between s[2] and s[1]
                    if (!s[1]) state <= 3'b000;
                    else if (s[2]) state <= 3'b010;
                    fr3 <= 0;
                    fr2 <= 1;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b010: begin // Between s[3] and s[2]
                    if (!s[2]) state <= 3'b001;
                    else if (s[3]) state <= 3'b011;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 1;
                    dfr <= (prev_s < s);
                end
                3'b011: begin // Above s[3]
                    if (!s[3]) state <= 3'b010;
                    fr3 <= 0;
                    fr2 <= 0;
                    fr1 <= 0;
                    dfr <= 0;
                end
                default: state <= 3'b000;
            endcase
            prev_s <= s;
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [3:1] prev_s;
    reg [2:0] state;

    always @(posedge clk or posedge reset) begin
        if (reset) begin
            state <= 3'b000;
            prev_s <= 3'b000;
            fr3 <= 1'b1;
            fr2 <= 1'b1;
            fr1 <= 1'b1;
            dfr <= 1'b1;
        end else begin
            prev_s <= s;
            case (s)
                3'b111: begin
                    state <= 3'b111;
                    fr3 <= 1'b0;
                    fr2 <= 1'b0;
                    fr1 <= 1'b0;
                    dfr <= 1'b0;
                end
                3'b011: begin
                    state <= 3'b011;
                    fr3 <= 1'b0;
                    fr2 <= 1'b0;
                    fr1 <= 1'b1;
                    dfr <= (prev_s < s);
                end
                3'b001: begin
                    state <= 3'b001;
                    fr3 <= 1'b0;
                    fr2 <= 1'b1;
                    fr1 <= 1'b1;
                    dfr <= (prev_s < s);
                end
                3'b000: begin
                    state <= 3'b000;
                    fr3 <= 1'b1;
                    fr2 <= 1'b1;
                    fr1 <= 1'b1;
                    dfr <= 1'b1;
                end
                default: begin
                    state <= state;
                    fr3 <= fr3;
                    fr2 <= fr2;
                    fr1 <= fr1;
                    dfr <= dfr;
                end
            endcase
        end
    end

endmodule

module top_module (
	input clk,
	input reset,
	input [3:1] s,
	output reg fr3,
	output reg fr2,
	output reg fr1,
	output reg dfr
);

    reg [2:0] state, next_state;
    reg [3:1] prev_s;

    always @(posedge clk) begin
        if (reset) begin
            state <= 3'b000;
            prev_s <= 3'b000;
        end else begin
            state <= next_state;
            prev_s <= s;
        end
    end

    always @(*) begin
        next_state = state;
        fr3 = 1'b0;
        fr2 = 1'b0;
        fr1 = 1'b0;
        dfr = 1'b0;

        case (s)
            3'b000: begin // Below s[1]
                next_state = 3'b000;
                fr3 = 1'b1;
                fr2 = 1'b1;
                fr1 = 1'b1;
                dfr = 1'b1;
            end
            3'b001: begin // Between s[2] and s[1]
                next_state = 3'b001;
                fr2 = 1'b1;
                fr1 = 1'b1;
                dfr = (prev_s == 3'b000);
            end
            3'b011: begin // Between s[3] and s[2]
                next_state = 3'b011;
                fr1 = 1'b1;
                dfr = (prev_s == 3'b001 || prev_s == 3'b000);
            end
            3'b111: begin // Above s[3]
                next_state = 3'b111;
            end
            default: next_state = state;
        endcase
    end

endmodule