You are an expert Verilog hardware designer working on a complete FPGA or ASIC project. You are given the full source code of a Verilog project. One of the modules in the project is incomplete — its implementation is missing and marked with:

// >>> Module Implementation Begin

// <<< Module Implementation End

Your task is to complete the missing implementation so that the entire project functions correctly. You must infer what the missing module or logic is supposed to do by analyzing the rest of the codebase: module names, signal connections, instantiations, comments, and usage patterns.

Follow these rules:

1. Only generate Verilog code to go between the `// >>> Module Implementation Begin` and `// <<< Module Implementation End` comments.
2. Use Verilog-2001 syntax. Ensure the code is synthesizable.
3. Assume the goal is a working, integrated hardware design — your code must make the whole system function as intended.
4. Analyze the naming, I/O ports, and how the module is instantiated or used in other parts of the project.
5. Implement correct behavior based on design context. Do not guess randomly — reason it out.
6. Avoid vendor-specific features unless explicitly required.
7. Do not output comments, explanation, or anything outside the required code region unless explicitly asked.

Your output should contain **only the Verilog code** that fits inside the marked region.

/*
 * Copyright (c) 2023 Paul Hansel
 * SPDX-License-Identifier: Apache-2.0
 */

`default_nettype none

module tt_um_phansel_laplace_lut (
    input  wire [7:0] ui_in,    // Dedicated inputs - connected to the input switches
    output wire [7:0] uo_out,   // Dedicated outputs - connected to the 7 segment display
    input  wire [7:0] uio_in,   // IOs: Bidirectional Input path
    output wire [7:0] uio_out,  // IOs: Bidirectional Output path
    output wire [7:0] uio_oe,   // IOs: Bidirectional Enable path (active high: 0=input, 1=output)
    input  wire       ena,      // will go high when the design is enabled
    input  wire       clk,      // clock
    input  wire       rst_n     // reset_n - low to reset
    // output wire [9:0] chars_remaining,
    // output wire [3:0] which_state
);


// input: number between 0->50
// output uio_out: function encoded in LaTeX as ASCII
// output uo_out: laplace transform of function encoded in latex as ASCII
// mystery bit: triggers CQ DE KC1GPW

assign uio_oe = 8'hFF;

// debug
wire [9:0] chars_remaining;
wire [3:0] which_state;

wire start;
wire [7:0] line;
wire [7:0] lhs, rhs;
wire [9:0] mem_addr;
wire [19:0] pointer_addr;
wire [15:0] mem_dout;


wire rst;

wire clk_buffered;
wire fast_or_slow;


clk_div_50M clk_picker(
    .clk_fast(clk),
    .rst(rst),
    .fast_or_slow(fast_or_slow),
    .clk_out(clk_buffered)
);


transformer transformer_1 (
    .start(start),
	.line(line),
	.clk(clk_buffered),
	.rst(rst),
	.lhs(lhs),
	.rhs(rhs),
	.pointer_addr(pointer_addr),
	.mem_addr(mem_addr),
	.mem_dout(mem_dout),
	.chars_remaining(chars_remaining),
	.which_state(which_state)
);


// stores the transforms as packed ascii
memory_chars memory_1 (
    .mem_addr(mem_addr),
    .dout(mem_dout),
    .clk(clk_buffered),
    .rst(rst)
);

// gets the appropriate indices for each line
line_mapper line_mapper_1 (
    .clk(clk_buffered),
    .rst(rst),
    .line(line),
    .pointer_addr(pointer_addr)
);

assign rst = ~rst_n;

assign line = {2'b0, ui_in[5:0]};
assign start = ui_in[6];
assign uio_out = lhs;
assign uo_out = rhs;
assign fast_or_slow = ui_in[7];


endmodule


module memory_chars(
input wire [9:0] mem_addr,
output reg [15:0] dout,
input wire rst,
input wire clk
);

always @(posedge clk) begin
    if (rst)
        dout <= 16'b0010000000100000;
    case(mem_addr)
        10'b0000000000: dout <= 16'b0011000100110001;
        10'b0000000001: dout <= 16'b0010111100100000;
        10'b0000000010: dout <= 16'b0111001100100000;
        10'b0000000100: dout <= 16'b0010000000100000;
        10'b0000000101: dout <= 16'b0011000101110100;
        10'b0000000110: dout <= 16'b0010111100100000;
        10'b0000000111: dout <= 16'b0111001100100000;
        10'b0000001000: dout <= 16'b0101111000100000;
        10'b0000001001: dout <= 16'b0011001000100000;
        10'b0000001011: dout <= 16'b0010000000100000;
        10'b0000001100: dout <= 16'b0011000101110100;
        10'b0000001101: dout <= 16'b0010111101011110;
        10'b0000001110: dout <= 16'b0111001101111011;
        10'b0000001111: dout <= 16'b0101111001101110;
        10'b0000010000: dout <= 16'b0110111000101101;
        10'b0000010001: dout <= 16'b0010000000110001;
        10'b0000010010: dout <= 16'b0010000001111101;
        10'b0000010011: dout <= 16'b0010000000101111;
        10'b0000010100: dout <= 16'b0010000000101000;
        10'b0000010101: dout <= 16'b0010000001101110;
        10'b0000010110: dout <= 16'b0010000000101101;
        10'b0000010111: dout <= 16'b0010000000110001;
        10'b0000011000: dout <= 16'b0010000000101001;
        10'b0000011001: dout <= 16'b0010000000100001;
        10'b0000011011: dout <= 16'b0010000000100000;
        10'b0000011100: dout <= 16'b0011000100110001;
        10'b0000011101: dout <= 16'b0010111100101111;
        10'b0000011110: dout <= 16'b0101110001011100;
        10'b0000011111: dout <= 16'b0111001101110011;
        10'b0000100000: dout <= 16'b0111000101110001;
        10'b0000100001: dout <= 16'b0111001001110010;
        10'b0000100010: dout <= 16'b0111010001110100;
        10'b0000100011: dout <= 16'b0111101101111011;
        10'b0000100100: dout <= 16'b0111001101011100;
        10'b0000100101: dout <= 16'b0111110101110000;
        10'b0000100110: dout <= 16'b0010000001101001;
        10'b0000100111: dout <= 16'b0010000000100000;
        10'b0000101000: dout <= 16'b0010000001110100;
        10'b0000101001: dout <= 16'b0010000001111101;
        10'b0000101011: dout <= 16'b0010000000100000;
        10'b0000101100: dout <= 16'b0011000100110010;
        10'b0000101101: dout <= 16'b0010111101011100;
        10'b0000101110: dout <= 16'b0111001101110011;
        10'b0000101111: dout <= 16'b0101111001110001;
        10'b0000110000: dout <= 16'b0111101101110010;
        10'b0000110001: dout <= 16'b0011001101110100;
        10'b0000110010: dout <= 16'b0010111101111011;
        10'b0000110011: dout <= 16'b0011001001110100;
        10'b0000110100: dout <= 16'b0111110100101111;
        10'b0000110101: dout <= 16'b0010000001011100;
        10'b0000110110: dout <= 16'b0010000001110000;
        10'b0000110111: dout <= 16'b0010000001101001;
        10'b0000111000: dout <= 16'b0010000001111101;
        10'b0000111010: dout <= 16'b0010000000100000;
        10'b0000111011: dout <= 16'b0011000101110100;
        10'b0000111100: dout <= 16'b0010111101011110;
        10'b0000111101: dout <= 16'b0111001101111011;
        10'b0000111110: dout <= 16'b0101111001100001;
        10'b0000111111: dout <= 16'b0110000100101101;
        10'b0001000000: dout <= 16'b0010000000110001;
        10'b0001000001: dout <= 16'b0010000001111101;
        10'b0001000010: dout <= 16'b0010000000101111;
        10'b0001000011: dout <= 16'b0010000001011100;
        10'b0001000100: dout <= 16'b0010000001000111;
        10'b0001000101: dout <= 16'b0010000001100001;
        10'b0001000110: dout <= 16'b0010000001101101;
        10'b0001000111: dout <= 16'b0010000001101101;
        10'b0001001000: dout <= 16'b0010000001100001;
        10'b0001001001: dout <= 16'b0010000000101000;
        10'b0001001010: dout <= 16'b0010000001100001;
        10'b0001001011: dout <= 16'b0010000000101001;
        10'b0001001101: dout <= 16'b0010000000100000;
        10'b0001001110: dout <= 16'b0011000101100101;
        10'b0001001111: dout <= 16'b0010111101011110;
        10'b0001010000: dout <= 16'b0010100001111011;
        10'b0001010001: dout <= 16'b0111001101100001;
        10'b0001010010: dout <= 16'b0010110101110100;
        10'b0001010011: dout <= 16'b0110000101111101;
        10'b0001010100: dout <= 16'b0010100100100000;
        10'b0001010110: dout <= 16'b0010000000100000;
        10'b0001010111: dout <= 16'b0011000101110100;
        10'b0001011000: dout <= 16'b0010111101100101;
        10'b0001011001: dout <= 16'b0010100001011110;
        10'b0001011010: dout <= 16'b0111001101111011;
        10'b0001011011: dout <= 16'b0010110101100001;
        10'b0001011100: dout <= 16'b0110000101110100;
        10'b0001011101: dout <= 16'b0010100101111101;
        10'b0001011110: dout <= 16'b0101111000100000;
        10'b0001011111: dout <= 16'b0011001000100000;
        10'b0001100001: dout <= 16'b0010000000100000;
        10'b0001100010: dout <= 16'b0011000101110100;
        10'b0001100011: dout <= 16'b0010111101011110;
        10'b0001100100: dout <= 16'b0010100001111011;
        10'b0001100101: dout <= 16'b0111001101101110;
        10'b0001100110: dout <= 16'b0010110100101101;
        10'b0001100111: dout <= 16'b0110000100110001;
        10'b0001101000: dout <= 16'b0010100101111101;
        10'b0001101001: dout <= 16'b0101111001100101;
        10'b0001101010: dout <= 16'b0110111001011110;
        10'b0001101011: dout <= 16'b0010000001111011;
        10'b0001101100: dout <= 16'b0010000001100001;
        10'b0001101101: dout <= 16'b0010000001110100;
        10'b0001101110: dout <= 16'b0010000001111101;
        10'b0001101111: dout <= 16'b0010000000101111;
        10'b0001110000: dout <= 16'b0010000000101000;
        10'b0001110001: dout <= 16'b0010000001101110;
        10'b0001110010: dout <= 16'b0010000000101101;
        10'b0001110011: dout <= 16'b0010000000110001;
        10'b0001110100: dout <= 16'b0010000000101001;
        10'b0001110101: dout <= 16'b0010000000100001;
        10'b0001110111: dout <= 16'b0010000000100000;
        10'b0001111000: dout <= 16'b0011000100101000;
        10'b0001111001: dout <= 16'b0010111100110001;
        10'b0001111010: dout <= 16'b0010100000101111;
        10'b0001111011: dout <= 16'b0111001101011100;
        10'b0001111100: dout <= 16'b0010110101000111;
        10'b0001111101: dout <= 16'b0110000101100001;
        10'b0001111110: dout <= 16'b0010100101101101;
        10'b0001111111: dout <= 16'b0101111001101101;
        10'b0010000000: dout <= 16'b0110101101100001;
        10'b0010000001: dout <= 16'b0010000000101000;
        10'b0010000010: dout <= 16'b0010000001101011;
        10'b0010000011: dout <= 16'b0010000000101001;
        10'b0010000100: dout <= 16'b0010000000101001;
        10'b0010000101: dout <= 16'b0010000001110100;
        10'b0010000110: dout <= 16'b0010000001011110;
        10'b0010000111: dout <= 16'b0010000001111011;
        10'b0010001000: dout <= 16'b0010000001101011;
        10'b0010001001: dout <= 16'b0010000000101101;
        10'b0010001010: dout <= 16'b0010000000110001;
        10'b0010001011: dout <= 16'b0010000001111101;
        10'b0010001100: dout <= 16'b0010000001100101;
        10'b0010001101: dout <= 16'b0010000001011110;
        10'b0010001110: dout <= 16'b0010000001111011;
        10'b0010001111: dout <= 16'b0010000001100001;
        10'b0010010000: dout <= 16'b0010000001110100;
        10'b0010010001: dout <= 16'b0010000001111101;
        10'b0010010011: dout <= 16'b0010000000100000;
        10'b0010010100: dout <= 16'b0011000100101000;
        10'b0010010101: dout <= 16'b0010111101100101;
        10'b0010010110: dout <= 16'b0010100001011110;
        10'b0010010111: dout <= 16'b0010100001111011;
        10'b0010011000: dout <= 16'b0111001101100001;
        10'b0010011001: dout <= 16'b0010110101110100;
        10'b0010011010: dout <= 16'b0110000101111101;
        10'b0010011011: dout <= 16'b0010100100101101;
        10'b0010011100: dout <= 16'b0010100001100101;
        10'b0010011101: dout <= 16'b0111001101011110;
        10'b0010011110: dout <= 16'b0010110101111011;
        10'b0010011111: dout <= 16'b0110001001100010;
        10'b0010100000: dout <= 16'b0010100101110100;
        10'b0010100001: dout <= 16'b0010100101111101;
        10'b0010100010: dout <= 16'b0010000000101001;
        10'b0010100011: dout <= 16'b0010000000101111;
        10'b0010100100: dout <= 16'b0010000000101000;
        10'b0010100101: dout <= 16'b0010000001100001;
        10'b0010100110: dout <= 16'b0010000000101101;
        10'b0010100111: dout <= 16'b0010000001100010;
        10'b0010101000: dout <= 16'b0010000000101001;
        10'b0010101010: dout <= 16'b0010000000100000;
        10'b0010101011: dout <= 16'b0111001100101000;
        10'b0010101100: dout <= 16'b0010111101100001;
        10'b0010101101: dout <= 16'b0010100001100101;
        10'b0010101110: dout <= 16'b0010100001011110;
        10'b0010101111: dout <= 16'b0111001101111011;
        10'b0010110000: dout <= 16'b0010110101100001;
        10'b0010110001: dout <= 16'b0110000101110100;
        10'b0010110010: dout <= 16'b0010100101111101;
        10'b0010110011: dout <= 16'b0010100000101101;
        10'b0010110100: dout <= 16'b0111001101100010;
        10'b0010110101: dout <= 16'b0010110101100101;
        10'b0010110110: dout <= 16'b0110001001011110;
        10'b0010110111: dout <= 16'b0010100101111011;
        10'b0010111000: dout <= 16'b0010100101100010;
        10'b0010111001: dout <= 16'b0010000001110100;
        10'b0010111010: dout <= 16'b0010000001111101;
        10'b0010111011: dout <= 16'b0010000000101001;
        10'b0010111100: dout <= 16'b0010000000101111;
        10'b0010111101: dout <= 16'b0010000000101000;
        10'b0010111110: dout <= 16'b0010000001100001;
        10'b0010111111: dout <= 16'b0010000000101101;
        10'b0011000000: dout <= 16'b0010000001100010;
        10'b0011000001: dout <= 16'b0010000000101001;
        10'b0011000011: dout <= 16'b0010000000100000;
        10'b0011000100: dout <= 16'b0011000100101000;
        10'b0011000101: dout <= 16'b0010111100110001;
        10'b0011000110: dout <= 16'b0010100000101111;
        10'b0011000111: dout <= 16'b0111001101110111;
        10'b0011001000: dout <= 16'b0101111000101001;
        10'b0011001001: dout <= 16'b0011001001011100;
        10'b0011001010: dout <= 16'b0010101101110011;
        10'b0011001011: dout <= 16'b0111011101101001;
        10'b0011001100: dout <= 16'b0101111001101110;
        10'b0011001101: dout <= 16'b0011001000100000;
        10'b0011001110: dout <= 16'b0010100101110111;
        10'b0011001111: dout <= 16'b0010000001110100;
        10'b0011010001: dout <= 16'b0010000000100000;
        10'b0011010010: dout <= 16'b0111001101011100;
        10'b0011010011: dout <= 16'b0010111101100011;
        10'b0011010100: dout <= 16'b0010100001101111;
        10'b0011010101: dout <= 16'b0111001101110011;
        10'b0011010110: dout <= 16'b0101111000100000;
        10'b0011010111: dout <= 16'b0011001001110111;
        10'b0011011000: dout <= 16'b0010101100100000;
        10'b0011011001: dout <= 16'b0111011100100000;
        10'b0011011010: dout <= 16'b0101111000100000;
        10'b0011011011: dout <= 16'b0011001000100000;
        10'b0011011100: dout <= 16'b0010100100100000;
        10'b0011011110: dout <= 16'b0010000000100000;
        10'b0011011111: dout <= 16'b0011000100101000;
        10'b0011100000: dout <= 16'b0010111100110001;
        10'b0011100001: dout <= 16'b0010100000101111;
        10'b0011100010: dout <= 16'b0111001101100001;
        10'b0011100011: dout <= 16'b0101111000101001;
        10'b0011100100: dout <= 16'b0011001001011100;
        10'b0011100101: dout <= 16'b0010110101110011;
        10'b0011100110: dout <= 16'b0110000101101001;
        10'b0011100111: dout <= 16'b0101111001101110;
        10'b0011101000: dout <= 16'b0011001001101000;
        10'b0011101001: dout <= 16'b0010100100100000;
        10'b0011101010: dout <= 16'b0010000001100001;
        10'b0011101011: dout <= 16'b0010000001110100;
        10'b0011101101: dout <= 16'b0010000000100000;
        10'b0011101110: dout <= 16'b0111001101011100;
        10'b0011101111: dout <= 16'b0010111101100011;
        10'b0011110000: dout <= 16'b0010100001101111;
        10'b0011110001: dout <= 16'b0111001101110011;
        10'b0011110010: dout <= 16'b0101111001101000;
        10'b0011110011: dout <= 16'b0011001000100000;
        10'b0011110100: dout <= 16'b0010110101100001;
        10'b0011110101: dout <= 16'b0110000101110100;
        10'b0011110110: dout <= 16'b0101111000100000;
        10'b0011110111: dout <= 16'b0011001000100000;
        10'b0011111000: dout <= 16'b0010100100100000;
        10'b0011111010: dout <= 16'b0010000000100000;
        10'b0011111011: dout <= 16'b0011000100101000;
        10'b0011111100: dout <= 16'b0010111100110001;
        10'b0011111101: dout <= 16'b0010100000101111;
        10'b0011111110: dout <= 16'b0010100001110111;
        10'b0011111111: dout <= 16'b0111001100101001;
        10'b0100000000: dout <= 16'b0010110101100101;
        10'b0100000001: dout <= 16'b0110000101011110;
        10'b0100000010: dout <= 16'b0010100101111011;
        10'b0100000011: dout <= 16'b0101111001100001;
        10'b0100000100: dout <= 16'b0011001001110100;
        10'b0100000101: dout <= 16'b0010101101111101;
        10'b0100000110: dout <= 16'b0111011101011100;
        10'b0100000111: dout <= 16'b0101111001110011;
        10'b0100001000: dout <= 16'b0011001001101001;
        10'b0100001001: dout <= 16'b0010100101101110;
        10'b0100001010: dout <= 16'b0010000001101000;
        10'b0100001011: dout <= 16'b0010000000100000;
        10'b0100001100: dout <= 16'b0010000001110111;
        10'b0100001101: dout <= 16'b0010000001110100;
        10'b0100001111: dout <= 16'b0010000000100000;
        10'b0100010000: dout <= 16'b0010100001100101;
        10'b0100010001: dout <= 16'b0111001101011110;
        10'b0100010010: dout <= 16'b0010110101111011;
        10'b0100010011: dout <= 16'b0110000101100001;
        10'b0100010100: dout <= 16'b0010100101110100;
        10'b0100010101: dout <= 16'b0010111101111101;
        10'b0100010110: dout <= 16'b0010100001011100;
        10'b0100010111: dout <= 16'b0010100001100011;
        10'b0100011000: dout <= 16'b0111001101101111;
        10'b0100011001: dout <= 16'b0010110101110011;
        10'b0100011010: dout <= 16'b0110000100100000;
        10'b0100011011: dout <= 16'b0010100101110111;
        10'b0100011100: dout <= 16'b0101111001110100;
        10'b0100011101: dout <= 16'b0011001000100000;
        10'b0100011110: dout <= 16'b0010101100100000;
        10'b0100011111: dout <= 16'b0111011100100000;
        10'b0100100000: dout <= 16'b0101111000100000;
        10'b0100100001: dout <= 16'b0011001000100000;
        10'b0100100010: dout <= 16'b0010100100100000;
        10'b0100100100: dout <= 16'b0010000000100000;
        10'b0100100101: dout <= 16'b0011000100101000;
        10'b0100100110: dout <= 16'b0010111100110001;
        10'b0100100111: dout <= 16'b0010100000101111;
        10'b0100101000: dout <= 16'b0111001101110111;
        10'b0100101001: dout <= 16'b0010100001011110;
        10'b0100101010: dout <= 16'b0111001100110010;
        10'b0100101011: dout <= 16'b0101111000101001;
        10'b0100101100: dout <= 16'b0111001100101000;
        10'b0100101101: dout <= 16'b0010101100110001;
        10'b0100101110: dout <= 16'b0111011100101101;
        10'b0100101111: dout <= 16'b0101111001011100;
        10'b0100110000: dout <= 16'b0011001001100011;
        10'b0100110001: dout <= 16'b0010100101101111;
        10'b0100110010: dout <= 16'b0010100101110011;
        10'b0100110011: dout <= 16'b0010000000100000;
        10'b0100110100: dout <= 16'b0010000001110111;
        10'b0100110101: dout <= 16'b0010000001110100;
        10'b0100110110: dout <= 16'b0010000000101001;
        10'b0100111000: dout <= 16'b0010000000100000;
        10'b0100111001: dout <= 16'b0011000100101000;
        10'b0100111010: dout <= 16'b0010111100110001;
        10'b0100111011: dout <= 16'b0010100000101111;
        10'b0100111100: dout <= 16'b0111001101110111;
        10'b0100111101: dout <= 16'b0101111001011110;
        10'b0100111110: dout <= 16'b0011001000110011;
        10'b0100111111: dout <= 16'b0010100000101001;
        10'b0101000000: dout <= 16'b0111001100101000;
        10'b0101000001: dout <= 16'b0101111001110111;
        10'b0101000010: dout <= 16'b0011001001110100;
        10'b0101000011: dout <= 16'b0010101100101101;
        10'b0101000100: dout <= 16'b0111011101011100;
        10'b0101000101: dout <= 16'b0101111001110011;
        10'b0101000110: dout <= 16'b0011001001101001;
        10'b0101000111: dout <= 16'b0010100101101110;
        10'b0101001000: dout <= 16'b0010100100100000;
        10'b0101001001: dout <= 16'b0010000001110111;
        10'b0101001010: dout <= 16'b0010000001110100;
        10'b0101001011: dout <= 16'b0010000000101001;
        10'b0101001101: dout <= 16'b0010000000100000;
        10'b0101001110: dout <= 16'b0011000100101000;
        10'b0101001111: dout <= 16'b0010111100110001;
        10'b0101010000: dout <= 16'b0010100000101111;
        10'b0101010001: dout <= 16'b0010100000110010;
        10'b0101010010: dout <= 16'b0111001101110111;
        10'b0101010011: dout <= 16'b0101111001011110;
        10'b0101010100: dout <= 16'b0011001000110011;
        10'b0101010101: dout <= 16'b0010101100101001;
        10'b0101010110: dout <= 16'b0111011100101000;
        10'b0101010111: dout <= 16'b0101111001011100;
        10'b0101011000: dout <= 16'b0011001001110011;
        10'b0101011001: dout <= 16'b0010100101101001;
        10'b0101011010: dout <= 16'b0101111001101110;
        10'b0101011011: dout <= 16'b0011001000100000;
        10'b0101011100: dout <= 16'b0010100101110111;
        10'b0101011101: dout <= 16'b0010000001110100;
        10'b0101011110: dout <= 16'b0010000000101101;
        10'b0101011111: dout <= 16'b0010000001110111;
        10'b0101100000: dout <= 16'b0010000001110100;
        10'b0101100001: dout <= 16'b0010000001011100;
        10'b0101100010: dout <= 16'b0010000001100011;
        10'b0101100011: dout <= 16'b0010000001101111;
        10'b0101100100: dout <= 16'b0010000001110011;
        10'b0101100101: dout <= 16'b0010000000100000;
        10'b0101100110: dout <= 16'b0010000001110111;
        10'b0101100111: dout <= 16'b0010000001110100;
        10'b0101101000: dout <= 16'b0010000000101001;
        10'b0101101010: dout <= 16'b0010000000100000;
        10'b0101101011: dout <= 16'b0111001100101000;
        10'b0101101100: dout <= 16'b0010111100110001;
        10'b0101101101: dout <= 16'b0010100000101111;
        10'b0101101110: dout <= 16'b0111001100110010;
        10'b0101101111: dout <= 16'b0101111001110111;
        10'b0101110000: dout <= 16'b0011001000101001;
        10'b0101110001: dout <= 16'b0010101101011100;
        10'b0101110010: dout <= 16'b0111011101110011;
        10'b0101110011: dout <= 16'b0101111001101001;
        10'b0101110100: dout <= 16'b0011001001101110;
        10'b0101110101: dout <= 16'b0010100100100000;
        10'b0101110110: dout <= 16'b0101111001110111;
        10'b0101110111: dout <= 16'b0011001001110100;
        10'b0101111001: dout <= 16'b0010000000100000;
        10'b0101111010: dout <= 16'b0111001100101000;
        10'b0101111011: dout <= 16'b0101111000110001;
        10'b0101111100: dout <= 16'b0011001000101111;
        10'b0101111101: dout <= 16'b0010111100110010;
        10'b0101111110: dout <= 16'b0010100001110111;
        10'b0101111111: dout <= 16'b0010100000101001;
        10'b0110000000: dout <= 16'b0111001100101000;
        10'b0110000001: dout <= 16'b0101111001011100;
        10'b0110000010: dout <= 16'b0011001001110011;
        10'b0110000011: dout <= 16'b0010101101101001;
        10'b0110000100: dout <= 16'b0111011101101110;
        10'b0110000101: dout <= 16'b0101111000100000;
        10'b0110000110: dout <= 16'b0011001001110111;
        10'b0110000111: dout <= 16'b0010100101110100;
        10'b0110001000: dout <= 16'b0101111000101011;
        10'b0110001001: dout <= 16'b0011001001110111;
        10'b0110001010: dout <= 16'b0010100101110100;
        10'b0110001011: dout <= 16'b0010000001011100;
        10'b0110001100: dout <= 16'b0010000001100011;
        10'b0110001101: dout <= 16'b0010000001101111;
        10'b0110001110: dout <= 16'b0010000001110011;
        10'b0110001111: dout <= 16'b0010000000100000;
        10'b0110010000: dout <= 16'b0010000001110111;
        10'b0110010001: dout <= 16'b0010000001110100;
        10'b0110010010: dout <= 16'b0010000000101001;
        10'b0110010100: dout <= 16'b0010000000100000;
        10'b0110010101: dout <= 16'b0111001100101000;
        10'b0110010110: dout <= 16'b0010111100110001;
        10'b0110010111: dout <= 16'b0010100000101111;
        10'b0110011000: dout <= 16'b0010100000101000;
        10'b0110011001: dout <= 16'b0111001101100010;
        10'b0110011010: dout <= 16'b0101111001011110;
        10'b0110011011: dout <= 16'b0011001000110010;
        10'b0110011100: dout <= 16'b0010101100101101;
        10'b0110011101: dout <= 16'b0110000101100001;
        10'b0110011110: dout <= 16'b0101111001011110;
        10'b0110011111: dout <= 16'b0011001000110010;
        10'b0110100000: dout <= 16'b0010100100101001;
        10'b0110100001: dout <= 16'b0010100000101001;
        10'b0110100010: dout <= 16'b0111001100101000;
        10'b0110100011: dout <= 16'b0101111001011100;
        10'b0110100100: dout <= 16'b0011001001100011;
        10'b0110100101: dout <= 16'b0010101101101111;
        10'b0110100110: dout <= 16'b0110001001110011;
        10'b0110100111: dout <= 16'b0101111000100000;
        10'b0110101000: dout <= 16'b0011001001100001;
        10'b0110101001: dout <= 16'b0010100101110100;
        10'b0110101010: dout <= 16'b0010100100101101;
        10'b0110101011: dout <= 16'b0010000001011100;
        10'b0110101100: dout <= 16'b0010000001100011;
        10'b0110101101: dout <= 16'b0010000001101111;
        10'b0110101110: dout <= 16'b0010000001110011;
        10'b0110101111: dout <= 16'b0010000000100000;
        10'b0110110000: dout <= 16'b0010000001100010;
        10'b0110110001: dout <= 16'b0010000001110100;
        10'b0110110010: dout <= 16'b0010000000101001;
        10'b0110110100: dout <= 16'b0010000000100000;
        10'b0110110101: dout <= 16'b0011000100101000;
        10'b0110110110: dout <= 16'b0010111100110001;
        10'b0110110111: dout <= 16'b0010100000101111;
        10'b0110111000: dout <= 16'b0111001100110100;
        10'b0110111001: dout <= 16'b0101111001101011;
        10'b0110111010: dout <= 16'b0011010001011110;
        10'b0110111011: dout <= 16'b0010101100110011;
        10'b0110111100: dout <= 16'b0011010000101001;
        10'b0110111101: dout <= 16'b0110101100101000;
        10'b0110111110: dout <= 16'b0101111001011100;
        10'b0110111111: dout <= 16'b0011010001110011;
        10'b0111000000: dout <= 16'b0010100101101001;
        10'b0111000001: dout <= 16'b0010000001101110;
        10'b0111000010: dout <= 16'b0010000000100000;
        10'b0111000011: dout <= 16'b0010000001101011;
        10'b0111000100: dout <= 16'b0010000001110100;
        10'b0111000101: dout <= 16'b0010000001011100;
        10'b0111000110: dout <= 16'b0010000001100011;
        10'b0111000111: dout <= 16'b0010000001101111;
        10'b0111001000: dout <= 16'b0010000001110011;
        10'b0111001001: dout <= 16'b0010000000100000;
        10'b0111001010: dout <= 16'b0010000001101011;
        10'b0111001011: dout <= 16'b0010000001110100;
        10'b0111001100: dout <= 16'b0010000000101101;
        10'b0111001101: dout <= 16'b0010000001011100;
        10'b0111001110: dout <= 16'b0010000001100011;
        10'b0111001111: dout <= 16'b0010000001101111;
        10'b0111010000: dout <= 16'b0010000001110011;
        10'b0111010001: dout <= 16'b0010000000100000;
        10'b0111010010: dout <= 16'b0010000001101011;
        10'b0111010011: dout <= 16'b0010000001110100;
        10'b0111010100: dout <= 16'b0010000001011100;
        10'b0111010101: dout <= 16'b0010000001110011;
        10'b0111010110: dout <= 16'b0010000001101001;
        10'b0111010111: dout <= 16'b0010000001101110;
        10'b0111011000: dout <= 16'b0010000001101000;
        10'b0111011001: dout <= 16'b0010000000100000;
        10'b0111011010: dout <= 16'b0010000001101011;
        10'b0111011011: dout <= 16'b0010000001110100;
        10'b0111011100: dout <= 16'b0010000000101001;
        10'b0111011110: dout <= 16'b0010000000100000;
        10'b0111011111: dout <= 16'b0111001100101000;
        10'b0111100000: dout <= 16'b0010111100110001;
        10'b0111100001: dout <= 16'b0010100000101111;
        10'b0111100010: dout <= 16'b0111001100110010;
        10'b0111100011: dout <= 16'b0101111001101011;
        10'b0111100100: dout <= 16'b0011010001011110;
        10'b0111100101: dout <= 16'b0010101100110010;
        10'b0111100110: dout <= 16'b0011010000101001;
        10'b0111100111: dout <= 16'b0110101101011100;
        10'b0111101000: dout <= 16'b0101111001110011;
        10'b0111101001: dout <= 16'b0011010001101001;
        10'b0111101010: dout <= 16'b0010100101101110;
        10'b0111101011: dout <= 16'b0010000000100000;
        10'b0111101100: dout <= 16'b0010000001101011;
        10'b0111101101: dout <= 16'b0010000001110100;
        10'b0111101110: dout <= 16'b0010000001011100;
        10'b0111101111: dout <= 16'b0010000001110011;
        10'b0111110000: dout <= 16'b0010000001101001;
        10'b0111110001: dout <= 16'b0010000001101110;
        10'b0111110010: dout <= 16'b0010000001101000;
        10'b0111110011: dout <= 16'b0010000000100000;
        10'b0111110100: dout <= 16'b0010000001101011;
        10'b0111110101: dout <= 16'b0010000001110100;
        10'b0111110111: dout <= 16'b0010000000100000;
        10'b0111111000: dout <= 16'b0011000100101000;
        10'b0111111001: dout <= 16'b0010111100110001;
        10'b0111111010: dout <= 16'b0010100000101111;
        10'b0111111011: dout <= 16'b0111001100110010;
        10'b0111111100: dout <= 16'b0101111001101011;
        10'b0111111101: dout <= 16'b0011010001011110;
        10'b0111111110: dout <= 16'b0010110100110011;
        10'b0111111111: dout <= 16'b0110101100101001;
        10'b1000000000: dout <= 16'b0101111000101000;
        10'b1000000001: dout <= 16'b0011010001011100;
        10'b1000000010: dout <= 16'b0010100101110011;
        10'b1000000011: dout <= 16'b0010000001101001;
        10'b1000000100: dout <= 16'b0010000001101110;
        10'b1000000101: dout <= 16'b0010000001101000;
        10'b1000000110: dout <= 16'b0010000000100000;
        10'b1000000111: dout <= 16'b0010000001101011;
        10'b1000001000: dout <= 16'b0010000001110100;
        10'b1000001001: dout <= 16'b0010000000101101;
        10'b1000001010: dout <= 16'b0010000001011100;
        10'b1000001011: dout <= 16'b0010000001110011;
        10'b1000001100: dout <= 16'b0010000001101001;
        10'b1000001101: dout <= 16'b0010000001101110;
        10'b1000001110: dout <= 16'b0010000000100000;
        10'b1000001111: dout <= 16'b0010000001101011;
        10'b1000010000: dout <= 16'b0010000001110100;
        10'b1000010001: dout <= 16'b0010000000101001;
        10'b1000010011: dout <= 16'b0010000000100000;
        10'b1000010100: dout <= 16'b0111001100101000;
        10'b1000010101: dout <= 16'b0010111100110001;
        10'b1000010110: dout <= 16'b0010100000101111;
        10'b1000010111: dout <= 16'b0111001100110010;
        10'b1000011000: dout <= 16'b0101111001101011;
        10'b1000011001: dout <= 16'b0011010001011110;
        10'b1000011010: dout <= 16'b0010110100110010;
        10'b1000011011: dout <= 16'b0110101100101001;
        10'b1000011100: dout <= 16'b0101111000101000;
        10'b1000011101: dout <= 16'b0011010001011100;
        10'b1000011110: dout <= 16'b0010100101100011;
        10'b1000011111: dout <= 16'b0010000001101111;
        10'b1000100000: dout <= 16'b0010000001110011;
        10'b1000100001: dout <= 16'b0010000001101000;
        10'b1000100010: dout <= 16'b0010000000100000;
        10'b1000100011: dout <= 16'b0010000001101011;
        10'b1000100100: dout <= 16'b0010000001110100;
        10'b1000100101: dout <= 16'b0010000000101101;
        10'b1000100110: dout <= 16'b0010000001011100;
        10'b1000100111: dout <= 16'b0010000001100011;
        10'b1000101000: dout <= 16'b0010000001101111;
        10'b1000101001: dout <= 16'b0010000001110011;
        10'b1000101010: dout <= 16'b0010000000100000;
        10'b1000101011: dout <= 16'b0010000001101011;
        10'b1000101100: dout <= 16'b0010000001110100;
        10'b1000101101: dout <= 16'b0010000000101001;
        10'b1000101111: dout <= 16'b0010000000100000;
        10'b1000110000: dout <= 16'b0101110000101000;
        10'b1000110001: dout <= 16'b0111001100110001;
        10'b1000110010: dout <= 16'b0111000100101111;
        10'b1000110011: dout <= 16'b0111001000101000;
        10'b1000110100: dout <= 16'b0111010000110010;
        10'b1000110101: dout <= 16'b0111101101011100;
        10'b1000110110: dout <= 16'b0111001101110011;
        10'b1000110111: dout <= 16'b0010110101110001;
        10'b1000111000: dout <= 16'b0110000101110010;
        10'b1000111001: dout <= 16'b0111110101110100;
        10'b1000111010: dout <= 16'b0010110101111011;
        10'b1000111011: dout <= 16'b0101110001011100;
        10'b1000111100: dout <= 16'b0111001101110000;
        10'b1000111101: dout <= 16'b0111000101101001;
        10'b1000111110: dout <= 16'b0111001000100000;
        10'b1000111111: dout <= 16'b0111010001110100;
        10'b1001000000: dout <= 16'b0111101101011110;
        10'b1001000001: dout <= 16'b0111001100110011;
        10'b1001000010: dout <= 16'b0010110101111101;
        10'b1001000011: dout <= 16'b0110001000101001;
        10'b1001000100: dout <= 16'b0111110100101001;
        10'b1001000101: dout <= 16'b0010000000101000;
        10'b1001000110: dout <= 16'b0010000001100101;
        10'b1001000111: dout <= 16'b0010000001011110;
        10'b1001001000: dout <= 16'b0010000001111011;
        10'b1001001001: dout <= 16'b0010000001100010;
        10'b1001001010: dout <= 16'b0010000001110100;
        10'b1001001011: dout <= 16'b0010000001111101;
        10'b1001001100: dout <= 16'b0010000000101101;
        10'b1001001101: dout <= 16'b0010000001100101;
        10'b1001001110: dout <= 16'b0010000001011110;
        10'b1001001111: dout <= 16'b0010000001111011;
        10'b1001010000: dout <= 16'b0010000001100001;
        10'b1001010001: dout <= 16'b0010000001110100;
        10'b1001010010: dout <= 16'b0010000001111101;
        10'b1001010011: dout <= 16'b0010000000101001;
        10'b1001010101: dout <= 16'b0010000000100000;
        10'b1001010110: dout <= 16'b0011000101100101;
        10'b1001010111: dout <= 16'b0010111101011110;
        10'b1001011000: dout <= 16'b0010100001111011;
        10'b1001011001: dout <= 16'b0101110000101101;
        10'b1001011010: dout <= 16'b0111001100101000;
        10'b1001011011: dout <= 16'b0111000101100001;
        10'b1001011100: dout <= 16'b0111001000101011;
        10'b1001011101: dout <= 16'b0111010001100010;
        10'b1001011110: dout <= 16'b0111101100101001;
        10'b1001011111: dout <= 16'b0111001101110100;
        10'b1001100000: dout <= 16'b0010110100101111;
        10'b1001100001: dout <= 16'b0110000100110010;
        10'b1001100010: dout <= 16'b0111110101111101;
        10'b1001100011: dout <= 16'b0101110001001001;
        10'b1001100100: dout <= 16'b0111001101011111;
        10'b1001100101: dout <= 16'b0111000100110000;
        10'b1001100110: dout <= 16'b0111001000101000;
        10'b1001100111: dout <= 16'b0111010000101000;
        10'b1001101000: dout <= 16'b0111101101100001;
        10'b1001101001: dout <= 16'b0111001100101101;
        10'b1001101010: dout <= 16'b0010110101100010;
        10'b1001101011: dout <= 16'b0110001000101001;
        10'b1001101100: dout <= 16'b0111110101110100;
        10'b1001101101: dout <= 16'b0010100100101111;
        10'b1001101110: dout <= 16'b0010000000110010;
        10'b1001101111: dout <= 16'b0010000000101001;
        10'b1001110001: dout <= 16'b0010000000100000;
        10'b1001110010: dout <= 16'b0011000101001010;
        10'b1001110011: dout <= 16'b0010111101011111;
        10'b1001110100: dout <= 16'b0101110000110000;
        10'b1001110101: dout <= 16'b0111001100101000;
        10'b1001110110: dout <= 16'b0111000101100001;
        10'b1001110111: dout <= 16'b0111001001110100;
        10'b1001111000: dout <= 16'b0111010000101001;
        10'b1001111001: dout <= 16'b0111101100100000;
        10'b1001111010: dout <= 16'b0111001100100000;
        10'b1001111011: dout <= 16'b0101111000100000;
        10'b1001111100: dout <= 16'b0011001000100000;
        10'b1001111101: dout <= 16'b0010101100100000;
        10'b1001111110: dout <= 16'b0110000100100000;
        10'b1001111111: dout <= 16'b0101111000100000;
        10'b1010000000: dout <= 16'b0011001000100000;
        10'b1010000001: dout <= 16'b0111110100100000;
        10'b1010000011: dout <= 16'b0010000000100000;
        10'b1010000100: dout <= 16'b0111001100101000;
        10'b1010000101: dout <= 16'b0010111100110001;
        10'b1010000110: dout <= 16'b0010100000101111;
        10'b1010000111: dout <= 16'b0111001101011100;
        10'b1010001000: dout <= 16'b0010110101110011;
        10'b1010001001: dout <= 16'b0110000101110001;
        10'b1010001010: dout <= 16'b0010100101110010;
        10'b1010001011: dout <= 16'b0101111001110100;
        10'b1010001100: dout <= 16'b0111101101111011;
        10'b1010001101: dout <= 16'b0011001101011100;
        10'b1010001110: dout <= 16'b0010111101110000;
        10'b1010001111: dout <= 16'b0011001001101001;
        10'b1010010000: dout <= 16'b0111110100100000;
        10'b1010010001: dout <= 16'b0010000001110100;
        10'b1010010010: dout <= 16'b0010000001111101;
        10'b1010010011: dout <= 16'b0010000000101001;
        10'b1010010100: dout <= 16'b0010000001100101;
        10'b1010010101: dout <= 16'b0010000001011110;
        10'b1010010110: dout <= 16'b0010000001111011;
        10'b1010010111: dout <= 16'b0010000001100001;
        10'b1010011000: dout <= 16'b0010000001110100;
        10'b1010011001: dout <= 16'b0010000001111101;
        10'b1010011010: dout <= 16'b0010000000101000;
        10'b1010011011: dout <= 16'b0010000000110001;
        10'b1010011100: dout <= 16'b0010000000101011;
        10'b1010011101: dout <= 16'b0010000000110010;
        10'b1010011110: dout <= 16'b0010000001100001;
        10'b1010011111: dout <= 16'b0010000001110100;
        10'b1010100000: dout <= 16'b0010000000101001;
        10'b1010100010: dout <= 16'b0010000000100000;
        10'b1010100011: dout <= 16'b0011000100101000;
        10'b1010100100: dout <= 16'b0010111101011100;
        10'b1010100101: dout <= 16'b0010100001110011;
        10'b1010100110: dout <= 16'b0111001101110001;
        10'b1010100111: dout <= 16'b0101111001110010;
        10'b1010101000: dout <= 16'b0011001001110100;
        10'b1010101001: dout <= 16'b0010110101111011;
        10'b1010101010: dout <= 16'b0110000101011100;
        10'b1010101011: dout <= 16'b0101111001110000;
        10'b1010101100: dout <= 16'b0011001001101001;
        10'b1010101101: dout <= 16'b0010100101111101;
        10'b1010101110: dout <= 16'b0101111000101111;
        10'b1010101111: dout <= 16'b0110101101011100;
        10'b1010110000: dout <= 16'b0010000001000111;
        10'b1010110001: dout <= 16'b0010000001100001;
        10'b1010110010: dout <= 16'b0010000001101101;
        10'b1010110011: dout <= 16'b0010000001101101;
        10'b1010110100: dout <= 16'b0010000001100001;
        10'b1010110101: dout <= 16'b0010000000101000;
        10'b1010110110: dout <= 16'b0010000001101011;
        10'b1010110111: dout <= 16'b0010000000101001;
        10'b1010111000: dout <= 16'b0010000000101001;
        10'b1010111001: dout <= 16'b0010000000101000;
        10'b1010111010: dout <= 16'b0010000001110100;
        10'b1010111011: dout <= 16'b0010000000101111;
        10'b1010111100: dout <= 16'b0010000000110010;
        10'b1010111101: dout <= 16'b0010000001100001;
        10'b1010111110: dout <= 16'b0010000000101001;
        10'b1010111111: dout <= 16'b0010000001011110;
        10'b1011000000: dout <= 16'b0010000001111011;
        10'b1011000001: dout <= 16'b0010000001101011;
        10'b1011000010: dout <= 16'b0010000000101101;
        10'b1011000011: dout <= 16'b0010000000110001;
        10'b1011000100: dout <= 16'b0010000000101111;
        10'b1011000101: dout <= 16'b0010000000110010;
        10'b1011000110: dout <= 16'b0010000001111101;
        10'b1011000111: dout <= 16'b0010000001001001;
        10'b1011001000: dout <= 16'b0010000001011111;
        10'b1011001001: dout <= 16'b0010000001111011;
        10'b1011001010: dout <= 16'b0010000001101011;
        10'b1011001011: dout <= 16'b0010000000101101;
        10'b1011001100: dout <= 16'b0010000000110001;
        10'b1011001101: dout <= 16'b0010000000101111;
        10'b1011001110: dout <= 16'b0010000000110010;
        10'b1011001111: dout <= 16'b0010000001111101;
        10'b1011010000: dout <= 16'b0010000000101000;
        10'b1011010001: dout <= 16'b0010000001100001;
        10'b1011010010: dout <= 16'b0010000001110100;
        10'b1011010011: dout <= 16'b0010000000101001;
        10'b1011010101: dout <= 16'b0010000000100000;
        10'b1011010110: dout <= 16'b0110010101110101;
        10'b1011010111: dout <= 16'b0101111000101000;
        10'b1011011000: dout <= 16'b0111101101110100;
        10'b1011011001: dout <= 16'b0010110100101101;
        10'b1011011010: dout <= 16'b0110000101100001;
        10'b1011011011: dout <= 16'b0111001100101001;
        10'b1011011100: dout <= 16'b0111110100100000;
        10'b1011011101: dout <= 16'b0010111100100000;
        10'b1011011110: dout <= 16'b0111001100100000;
        10'b1011100000: dout <= 16'b0010000000100000;
        10'b1011100001: dout <= 16'b0110010101011100;
        10'b1011100010: dout <= 16'b0101111001100100;
        10'b1011100011: dout <= 16'b0111101101100101;
        10'b1011100100: dout <= 16'b0010110101101100;
        10'b1011100101: dout <= 16'b0110000101110100;
        10'b1011100110: dout <= 16'b0111001101100001;
        10'b1011100111: dout <= 16'b0111110100101000;
        10'b1011101000: dout <= 16'b0010000001110100;
        10'b1011101001: dout <= 16'b0010000000101101;
        10'b1011101010: dout <= 16'b0010000001100001;
        10'b1011101011: dout <= 16'b0010000000101001;
        10'b1011101101: dout <= 16'b0010000000100000;
        10'b1011101110: dout <= 16'b0010100001001010;
        10'b1011101111: dout <= 16'b0011000101011111;
        10'b1011110000: dout <= 16'b0010111100110000;
        10'b1011110001: dout <= 16'b0111001100101000;
        10'b1011110010: dout <= 16'b0010100100110010;
        10'b1011110011: dout <= 16'b0110010101011100;
        10'b1011110100: dout <= 16'b0101111001110011;
        10'b1011110101: dout <= 16'b0111101101110001;
        10'b1011110110: dout <= 16'b0010110101110010;
        10'b1011110111: dout <= 16'b0110101101110100;
        10'b1011111000: dout <= 16'b0010111101111011;
        10'b1011111001: dout <= 16'b0111001101101011;
        10'b1011111010: dout <= 16'b0111110101110100;
        10'b1011111011: dout <= 16'b0010000001111101;
        10'b1011111100: dout <= 16'b0010000000101001;
        10'b1011111110: dout <= 16'b0010000000100000;
        10'b1011111111: dout <= 16'b0010100000101000;
        10'b1100000000: dout <= 16'b0011000100110001;
        10'b1100000001: dout <= 16'b0010111100101111;
        10'b1100000010: dout <= 16'b0101110001011100;
        10'b1100000011: dout <= 16'b0111001101110011;
        10'b1100000100: dout <= 16'b0111000101110001;
        10'b1100000101: dout <= 16'b0111001001110010;
        10'b1100000110: dout <= 16'b0111010001110100;
        10'b1100000111: dout <= 16'b0111101101111011;
        10'b1100001000: dout <= 16'b0111001101011100;
        10'b1100001001: dout <= 16'b0111110101110000;
        10'b1100001010: dout <= 16'b0010100101101001;
        10'b1100001011: dout <= 16'b0110010100100000;
        10'b1100001100: dout <= 16'b0101111001110100;
        10'b1100001101: dout <= 16'b0111101101111101;
        10'b1100001110: dout <= 16'b0010110100101001;
        10'b1100001111: dout <= 16'b0110101101011100;
        10'b1100010000: dout <= 16'b0010111101100011;
        10'b1100010001: dout <= 16'b0111001101101111;
        10'b1100010010: dout <= 16'b0111110101110011;
        10'b1100010011: dout <= 16'b0010000000110010;
        10'b1100010100: dout <= 16'b0010000001011100;
        10'b1100010101: dout <= 16'b0010000001110011;
        10'b1100010110: dout <= 16'b0010000001110001;
        10'b1100010111: dout <= 16'b0010000001110010;
        10'b1100011000: dout <= 16'b0010000001110100;
        10'b1100011001: dout <= 16'b0010000001111011;
        10'b1100011010: dout <= 16'b0010000001101011;
        10'b1100011011: dout <= 16'b0010000001110100;
        10'b1100011100: dout <= 16'b0010000001111101;
        10'b1100011110: dout <= 16'b0010000000100000;
        10'b1100011111: dout <= 16'b0011000100101000;
        10'b1100100000: dout <= 16'b0010111100110001;
        10'b1100100001: dout <= 16'b0111001100101111;
        10'b1100100010: dout <= 16'b0101111001011100;
        10'b1100100011: dout <= 16'b0111101101110011;
        10'b1100100100: dout <= 16'b0011001101110001;
        10'b1100100101: dout <= 16'b0010111101110010;
        10'b1100100110: dout <= 16'b0011001001110100;
        10'b1100100111: dout <= 16'b0111110101111011;
        10'b1100101000: dout <= 16'b0010000001011100;
        10'b1100101001: dout <= 16'b0010000001110000;
        10'b1100101010: dout <= 16'b0010000001101001;
        10'b1100101011: dout <= 16'b0010000000100000;
        10'b1100101100: dout <= 16'b0010000001101011;
        10'b1100101101: dout <= 16'b0010000001111101;
        10'b1100101110: dout <= 16'b0010000000101001;
        10'b1100101111: dout <= 16'b0010000001011100;
        10'b1100110000: dout <= 16'b0010000001110011;
        10'b1100110001: dout <= 16'b0010000001101001;
        10'b1100110010: dout <= 16'b0010000001101110;
        10'b1100110011: dout <= 16'b0010000001101000;
        10'b1100110100: dout <= 16'b0010000000110010;
        10'b1100110101: dout <= 16'b0010000001011100;
        10'b1100110110: dout <= 16'b0010000001110011;
        10'b1100110111: dout <= 16'b0010000001110001;
        10'b1100111000: dout <= 16'b0010000001110010;
        10'b1100111001: dout <= 16'b0010000001110100;
        10'b1100111010: dout <= 16'b0010000001111011;
        10'b1100111011: dout <= 16'b0010000001101011;
        10'b1100111100: dout <= 16'b0010000001110100;
        10'b1100111101: dout <= 16'b0010000001111101;
        10'b1100111111: dout <= 16'b0010000000100000;
        10'b1101000000: dout <= 16'b0110010100101000;
        10'b1101000001: dout <= 16'b0101111001101011;
        10'b1101000010: dout <= 16'b0111101100101111;
        10'b1101000011: dout <= 16'b0010110100101000;
        10'b1101000100: dout <= 16'b0110101100110010;
        10'b1101000101: dout <= 16'b0101110001011100;
        10'b1101000110: dout <= 16'b0111001101110011;
        10'b1101000111: dout <= 16'b0111000101110001;
        10'b1101001000: dout <= 16'b0111001001110010;
        10'b1101001001: dout <= 16'b0111010001110100;
        10'b1101001010: dout <= 16'b0111101101111011;
        10'b1101001011: dout <= 16'b0111001101011100;
        10'b1101001100: dout <= 16'b0111110101110000;
        10'b1101001101: dout <= 16'b0111110101101001;
        10'b1101001110: dout <= 16'b0010000000100000;
        10'b1101001111: dout <= 16'b0010000001110100;
        10'b1101010000: dout <= 16'b0010000001011110;
        10'b1101010001: dout <= 16'b0010000000110011;
        10'b1101010010: dout <= 16'b0010000001111101;
        10'b1101010011: dout <= 16'b0010000000101001;
        10'b1101010100: dout <= 16'b0010000000101001;
        10'b1101010101: dout <= 16'b0010000001100101;
        10'b1101010110: dout <= 16'b0010000001011110;
        10'b1101010111: dout <= 16'b0010000001111011;
        10'b1101011000: dout <= 16'b0010000000101101;
        10'b1101011001: dout <= 16'b0010000001101011;
        10'b1101011010: dout <= 16'b0010000001011110;
        10'b1101011011: dout <= 16'b0010000000110010;
        10'b1101011100: dout <= 16'b0010000000101111;
        10'b1101011101: dout <= 16'b0010000000110100;
        10'b1101011110: dout <= 16'b0010000001110100;
        10'b1101011111: dout <= 16'b0010000001111101;
        10'b1101100001: dout <= 16'b0010000000100000;
        10'b1101100010: dout <= 16'b0010100000101101;
        10'b1101100011: dout <= 16'b0011000101011100;
        10'b1101100100: dout <= 16'b0010111101101100;
        10'b1101100101: dout <= 16'b0111001101101110;
        10'b1101100110: dout <= 16'b0010100100100000;
        10'b1101100111: dout <= 16'b0101110001110100;
        10'b1101101000: dout <= 16'b0110110000100000;
        10'b1101101001: dout <= 16'b0110111000101101;
        10'b1101101010: dout <= 16'b0010000000100000;
        10'b1101101011: dout <= 16'b0111001101011100;
        10'b1101101100: dout <= 16'b0010000001100111;
        10'b1101101101: dout <= 16'b0010000001100001;
        10'b1101101110: dout <= 16'b0010000001101101;
        10'b1101101111: dout <= 16'b0010000001101101;
        10'b1101110000: dout <= 16'b0010000001100001;
        10'b1101110010: dout <= 16'b0010000000100000;
        10'b1101110011: dout <= 16'b0101110000101000;
        10'b1101110100: dout <= 16'b0110110000110001;
        10'b1101110101: dout <= 16'b0110111000101111;
        10'b1101110110: dout <= 16'b0010100001110100;
        10'b1101110111: dout <= 16'b0010100000101001;
        10'b1101111000: dout <= 16'b0111001100101000;
        10'b1101111001: dout <= 16'b0010110101100101;
        10'b1101111010: dout <= 16'b0110000101011110;
        10'b1101111011: dout <= 16'b0010100101111011;
        10'b1101111100: dout <= 16'b0010111101100010;
        10'b1101111101: dout <= 16'b0010100001110100;
        10'b1101111110: dout <= 16'b0111001101111101;
        10'b1101111111: dout <= 16'b0010110100101101;
        10'b1110000000: dout <= 16'b0110001001100101;
        10'b1110000001: dout <= 16'b0010100101011110;
        10'b1110000010: dout <= 16'b0010100101111011;
        10'b1110000011: dout <= 16'b0010000001100001;
        10'b1110000100: dout <= 16'b0010000001110100;
        10'b1110000101: dout <= 16'b0010000001111101;
        10'b1110000110: dout <= 16'b0010000000101001;
        10'b1110001000: dout <= 16'b0010000000100000;
        10'b1110001001: dout <= 16'b0110000101100001;
        10'b1110001010: dout <= 16'b0100011001100110;
        10'b1110001100: dout <= 16'b0010000000100000;
        10'b1110001101: dout <= 16'b0100011001100110;
        10'b1110001110: dout <= 16'b0010101100101011;
        10'b1110001111: dout <= 16'b0100011101100111;
        10'b1110010001: dout <= 16'b0010000000100000;
        10'b1110010010: dout <= 16'b0101110000101000;
        10'b1110010011: dout <= 16'b0110110000110010;
        10'b1110010100: dout <= 16'b0110111000101111;
        10'b1110010101: dout <= 16'b0010100001110100;
        10'b1110010110: dout <= 16'b0010100000101001;
        10'b1110010111: dout <= 16'b0111001100101000;
        10'b1110011000: dout <= 16'b0101111000110001;
        10'b1110011001: dout <= 16'b0011001000101101;
        10'b1110011010: dout <= 16'b0010101101011100;
        10'b1110011011: dout <= 16'b0111011101100011;
        10'b1110011100: dout <= 16'b0101111001101111;
        10'b1110011101: dout <= 16'b0011001001110011;
        10'b1110011110: dout <= 16'b0010100100100000;
        10'b1110011111: dout <= 16'b0010111101110111;
        10'b1110100000: dout <= 16'b0111001101110100;
        10'b1110100001: dout <= 16'b0101111000101001;
        10'b1110100010: dout <= 16'b0011001000100000;
        10'b1110100011: dout <= 16'b0010100100100000;
        10'b1110100101: dout <= 16'b0010000000100000;
        10'b1110100110: dout <= 16'b0101110000101000;
        10'b1110100111: dout <= 16'b0110110000110010;
        10'b1110101000: dout <= 16'b0110111000101111;
        10'b1110101001: dout <= 16'b0010100001110100;
        10'b1110101010: dout <= 16'b0010100000101001;
        10'b1110101011: dout <= 16'b0111001100101000;
        10'b1110101100: dout <= 16'b0101111000110001;
        10'b1110101101: dout <= 16'b0011001000101101;
        10'b1110101110: dout <= 16'b0010110101011100;
        10'b1110101111: dout <= 16'b0110000101100011;
        10'b1110110000: dout <= 16'b0101111001101111;
        10'b1110110001: dout <= 16'b0011001001110011;
        10'b1110110010: dout <= 16'b0010100101101000;
        10'b1110110011: dout <= 16'b0010111100100000;
        10'b1110110100: dout <= 16'b0111001101100001;
        10'b1110110101: dout <= 16'b0101111001110100;
        10'b1110110110: dout <= 16'b0011001000101001;
        10'b1110110111: dout <= 16'b0010100100100000;
        10'b1110111001: dout <= 16'b0010000000100000;
        10'b1110111010: dout <= 16'b0101110000101000;
        10'b1110111011: dout <= 16'b0110000100110001;
        10'b1110111100: dout <= 16'b0111001000101111;
        10'b1110111101: dout <= 16'b0110001101110100;
        10'b1110111110: dout <= 16'b0111010000101001;
        10'b1110111111: dout <= 16'b0110000101011100;
        10'b1111000000: dout <= 16'b0110111001110011;
        10'b1111000001: dout <= 16'b0010100001101001;
        10'b1111000010: dout <= 16'b0111011101101110;
        10'b1111000011: dout <= 16'b0010111100100000;
        10'b1111000100: dout <= 16'b0111001101110111;
        10'b1111000101: dout <= 16'b0010100101110100;
        10'b1111000111: dout <= 16'b0010000000100000;
        10'b1111001000: dout <= 16'b0010100001010011;
        10'b1111001001: dout <= 16'b0011000101101001;
        10'b1111001010: dout <= 16'b0010111100101000;
        10'b1111001011: dout <= 16'b0111001101110100;
        10'b1111001100: dout <= 16'b0010100100101001;
        10'b1111001101: dout <= 16'b0010000000100000;
        10'b1111001110: dout <= 16'b0101110000100000;
        10'b1111001111: dout <= 16'b0110000100100000;
        10'b1111010000: dout <= 16'b0111001000100000;
        10'b1111010001: dout <= 16'b0110001100100000;
        10'b1111010010: dout <= 16'b0110001100100000;
        10'b1111010011: dout <= 16'b0110111100100000;
        10'b1111010100: dout <= 16'b0111010000100000;
        10'b1111010101: dout <= 16'b0010000000100000;
        10'b1111010110: dout <= 16'b0111001100100000;
        10'b1111011000: dout <= 16'b0010000000100000;
        default: dout <= 16'b0010000000100000;
    endcase;
end

endmodule



module line_mapper(
input wire clk,
input wire rst,
input wire [7:0] line, 
output reg [19:0] pointer_addr);
// >>> Module Implementation Begin

// <<< Module Implementation End
endmodule







module transformer(
input wire start, // goes high when the user wants to start printing
input wire [7:0] line, // which line do we want?
input wire clk,        // clock
input wire rst,      // reset
input wire [19:0] pointer_addr, // what is the array ref for this txform?
input wire [15:0] mem_dout, // what's the dat
output reg [9:0] mem_addr, // which address in memory has our chars?a
output reg [9:0] chars_remaining,
output wire [7:0] lhs, // input version
output wire [7:0] rhs, // transformed version
output reg [3:0] which_state
);


wire [9:0] line_start;
wire [9:0] line_len;

assign line_start = pointer_addr[9:0];
assign line_len = pointer_addr[19:10];

// output assignment - the ascii chars
assign lhs = mem_dout[15:8];
assign rhs = mem_dout[7:0];


reg started;


always @(posedge clk) begin
    if (rst) begin
        mem_addr <= 10'b1111111111;
        chars_remaining <= 10'd0;
        started <= 1'b0;
        which_state <= 0;
    end else begin
        if ((~start) && (~started)) begin
            // first character
            mem_addr <= line_start;
            chars_remaining <= line_len;
            started <= 1'b1;
            which_state <= 1;
        end else begin
            if ((chars_remaining > 0)) begin
            // second -> last characters
            mem_addr <= mem_addr + 1;
            chars_remaining <= chars_remaining - 1;
            which_state <= 2;
            end else begin
                // last+1 character
                started <= 1'b1;
                which_state <= 3;
            end
        end
    end
end

endmodule

// divide the 50 MHz clock to 1s
module clk_div_50M #(parameter CLK_DIV = 26'd50000000) (input wire rst, input wire clk_fast, input wire fast_or_slow, output wire clk_out);

reg [25:0] counter;
reg clk_slow;

assign clk_out = fast_or_slow ? clk_fast : clk_slow;

always @(posedge clk_fast) begin
    if (rst) begin
        counter <= 26'd0;
        clk_slow <= 1'b0;
    end
    else begin
        if (counter < CLK_DIV) begin
            counter <= counter + 1;
        end
        else begin
            counter <= 26'd0;
            clk_slow <= ~clk_slow;
        end
    end
end

endmodule


Reference solution:
rtl/generated.v: 
always @(posedge clk) begin
    if (rst)
        pointer_addr <= 20'b000000011000000000;
    case(line)
    8'b00000000: pointer_addr <= 20'b00000000110000000000;
    8'b00000001: pointer_addr <= 20'b00000001010000000101;
    8'b00000010: pointer_addr <= 20'b00000011100000001100;
    8'b00000011: pointer_addr <= 20'b00000011100000011100;
    8'b00000100: pointer_addr <= 20'b00000011010000101100;
    8'b00000101: pointer_addr <= 20'b00000100010000111011;
    8'b00000110: pointer_addr <= 20'b00000001110001001110;
    8'b00000111: pointer_addr <= 20'b00000010010001010111;
    8'b00001000: pointer_addr <= 20'b00000101000001100010;
    8'b00001001: pointer_addr <= 20'b00000110100001111000;
    8'b00001010: pointer_addr <= 20'b00000101010010010100;
    8'b00001011: pointer_addr <= 20'b00000101110010101011;
    8'b00001100: pointer_addr <= 20'b00000011000011000100;
    8'b00001101: pointer_addr <= 20'b00000010110011010010;
    8'b00001110: pointer_addr <= 20'b00000011010011011111;
    8'b00001111: pointer_addr <= 20'b00000010110011101110;
    8'b00010000: pointer_addr <= 20'b00000100110011111011;
    8'b00010001: pointer_addr <= 20'b00000100110100010000;
    8'b00010010: pointer_addr <= 20'b00000100100100100101;
    8'b00010011: pointer_addr <= 20'b00000100110100111001;
    8'b00010100: pointer_addr <= 20'b00000110110101001110;
    8'b00010101: pointer_addr <= 20'b00000011010101101011;
    8'b00010110: pointer_addr <= 20'b00000110010101111010;
    8'b00010111: pointer_addr <= 20'b00000111100110010101;
    8'b00011000: pointer_addr <= 20'b00001010000110110101;
    8'b00011001: pointer_addr <= 20'b00000101110111011111;
    8'b00011010: pointer_addr <= 20'b00000110100111111000;
    8'b00011011: pointer_addr <= 20'b00000110101000010100;
    8'b00011100: pointer_addr <= 20'b00001001001000110000;
    8'b00011101: pointer_addr <= 20'b00000110101001010110;
    8'b00011110: pointer_addr <= 20'b00000100001001110010;
    8'b00011111: pointer_addr <= 20'b00000111011010000100;
    8'b00100000: pointer_addr <= 20'b00001100011010100011;
    8'b00100001: pointer_addr <= 20'b00000010011011010110;
    8'b00100010: pointer_addr <= 20'b00000010111011100001;
    8'b00100011: pointer_addr <= 20'b00000011111011101110;
    8'b00100100: pointer_addr <= 20'b00000111101011111111;
    8'b00100101: pointer_addr <= 20'b00000111111100011111;
    8'b00100110: pointer_addr <= 20'b00001000001101000000;
    8'b00100111: pointer_addr <= 20'b00000011111101100010;
    8'b00101000: pointer_addr <= 20'b00000101001101110011;
    8'b00101001: pointer_addr <= 20'b00000000101110001001;
    8'b00101010: pointer_addr <= 20'b00000000111110001101;
    8'b00101011: pointer_addr <= 20'b00000100101110010010;
    8'b00101100: pointer_addr <= 20'b00000100101110100110;
    8'b00101101: pointer_addr <= 20'b00000011001110111010;
    8'b00101110: pointer_addr <= 20'b00000011111111001000;
    default: pointer_addr <= 20'b00000000110000000000;
    endcase;
end