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.

`default_nettype none

module arc_table(
    input wire [5:0] in,
    output reg [5:0] out
);

always @(*) begin
    case(in)
        6'b000000: out = 6'b111111;
        6'b000001: out = 6'b111111;
        6'b000010: out = 6'b111111;
        6'b000011: out = 6'b111111;
        6'b000100: out = 6'b111111;
        6'b000101: out = 6'b111111;
        6'b000110: out = 6'b111111;
        6'b000111: out = 6'b111111;
        6'b001000: out = 6'b111110;
        6'b001001: out = 6'b111110;
        6'b001010: out = 6'b111110;
        6'b001011: out = 6'b111110;
        6'b001100: out = 6'b111110;
        6'b001101: out = 6'b111110;
        6'b001110: out = 6'b111101;
        6'b001111: out = 6'b111101;
        6'b010000: out = 6'b111101;
        6'b010001: out = 6'b111101;
        6'b010010: out = 6'b111100;
        6'b010011: out = 6'b111100;
        6'b010100: out = 6'b111100;
        6'b010101: out = 6'b111011;
        6'b010110: out = 6'b111011;
        6'b010111: out = 6'b111011;
        6'b011000: out = 6'b111010;
        6'b011001: out = 6'b111010;
        6'b011010: out = 6'b111001;
        6'b011011: out = 6'b111001;
        6'b011100: out = 6'b111001;
        6'b011101: out = 6'b111000;
        6'b011110: out = 6'b111000;
        6'b011111: out = 6'b110111;
        6'b100000: out = 6'b110110;
        6'b100001: out = 6'b110110;
        6'b100010: out = 6'b110101;
        6'b100011: out = 6'b110101;
        6'b100100: out = 6'b110100;
        6'b100101: out = 6'b110011;
        6'b100110: out = 6'b110010;
        6'b100111: out = 6'b110010;
        6'b101000: out = 6'b110001;
        6'b101001: out = 6'b110000;
        6'b101010: out = 6'b101111;
        6'b101011: out = 6'b101110;
        6'b101100: out = 6'b101101;
        6'b101101: out = 6'b101101;
        6'b101110: out = 6'b101011;
        6'b101111: out = 6'b101010;
        6'b110000: out = 6'b101001;
        6'b110001: out = 6'b101000;
        6'b110010: out = 6'b100111;
        6'b110011: out = 6'b100110;
        6'b110100: out = 6'b100100;
        6'b110101: out = 6'b100011;
        6'b110110: out = 6'b100001;
        6'b110111: out = 6'b100000;
        6'b111000: out = 6'b011110;
        6'b111001: out = 6'b011100;
        6'b111010: out = 6'b011010;
        6'b111011: out = 6'b011000;
        6'b111100: out = 6'b010101;
        6'b111101: out = 6'b010010;
        6'b111110: out = 6'b001111;
        6'b111111: out = 6'b001010;
    endcase
end

endmodule


`default_nettype none

module sine_table(
    input wire [4:0] in,
    output reg [11:0] out
);

always @(*) begin
    case(in)
        5'b00000: out = 12'b000001_111111;
        5'b00001: out = 12'b000010_111111;
        5'b00010: out = 12'b000100_111111;
        5'b00011: out = 12'b000101_111111;
        5'b00100: out = 12'b000111_111111;
        5'b00101: out = 12'b001001_111111;
        5'b00110: out = 12'b001010_111111;
        5'b00111: out = 12'b001100_111110;
        5'b01000: out = 12'b001101_111110;
        5'b01001: out = 12'b001111_111110;
        5'b01010: out = 12'b010000_111101;
        5'b01011: out = 12'b010010_111101;
        5'b01100: out = 12'b010011_111101;
        5'b01101: out = 12'b010101_111100;
        5'b01110: out = 12'b010110_111100;
        5'b01111: out = 12'b011000_111011;
        5'b10000: out = 12'b011001_111010;
        5'b10001: out = 12'b011010_111010;
        5'b10010: out = 12'b011100_111001;
        5'b10011: out = 12'b011101_111000;
        5'b10100: out = 12'b011111_111000;
        5'b10101: out = 12'b100000_110111;
        5'b10110: out = 12'b100001_110110;
        5'b10111: out = 12'b100011_110101;
        5'b11000: out = 12'b100100_110100;
        5'b11001: out = 12'b100101_110011;
        5'b11010: out = 12'b100110_110011;
        5'b11011: out = 12'b101000_110010;
        5'b11100: out = 12'b101001_110001;
        5'b11101: out = 12'b101010_110000;
        5'b11110: out = 12'b101011_101111;
        5'b11111: out = 12'b101100_101101;
    endcase
end

endmodule


`default_nettype none

module coll_table(
    input wire [8:0] in,
    output reg [7:0] out
);

always @(*) begin
    case(in)
        9'b0_00_0_00_00_0: out = 8'b1_00_1_00_01;
        9'b0_00_0_00_00_1: out = 8'b1_00_1_00_01;
        9'b0_00_0_00_01_0: out = 8'b1_00_0_00_10;
        9'b0_00_0_00_01_1: out = 8'b1_00_0_00_10;
        9'b0_00_0_00_10_0: out = 8'b1_00_0_00_01;
        9'b0_00_0_00_10_1: out = 8'b1_00_0_00_01;
        9'b0_00_0_00_11_0: out = 8'b0_00_0_00_01;
        9'b0_00_0_00_11_1: out = 8'b0_00_0_00_01;
        9'b0_00_0_01_00_0: out = 8'b1_01_1_00_10;
        9'b0_00_0_01_00_1: out = 8'b1_01_1_00_10;
        9'b0_00_0_01_01_0: out = 8'b1_01_0_00_10;
        9'b0_00_0_01_01_1: out = 8'b1_01_0_00_10;
        9'b0_00_0_01_10_0: out = 8'b0_00_0_01_01;
        9'b0_00_0_01_10_1: out = 8'b0_00_0_01_01;
        9'b0_00_0_01_11_0: out = 8'b0_00_0_01_00;
        9'b0_00_0_01_11_1: out = 8'b0_00_0_01_00;
        9'b0_00_0_10_00_0: out = 8'b1_10_1_00_10;
        9'b0_00_0_10_00_1: out = 8'b1_10_1_00_10;
        9'b0_00_0_10_01_0: out = 8'b1_10_0_00_10;
        9'b0_00_0_10_01_1: out = 8'b1_01_0_01_10;
        9'b0_00_0_10_10_0: out = 8'b0_00_0_10_01;
        9'b0_00_0_10_10_1: out = 8'b0_00_0_10_01;
        9'b0_00_0_10_11_0: out = 8'b0_00_0_10_00;
        9'b0_00_0_10_11_1: out = 8'b0_00_0_10_00;
        9'b0_00_0_11_00_0: out = 8'b1_11_1_00_10;
        9'b0_00_0_11_00_1: out = 8'b1_11_1_00_10;
        9'b0_00_0_11_01_0: out = 8'b1_11_0_00_10;
        9'b0_00_0_11_01_1: out = 8'b1_10_0_01_10;
        9'b0_00_0_11_10_0: out = 8'b0_00_0_11_01;
        9'b0_00_0_11_10_1: out = 8'b0_00_0_11_01;
        9'b0_00_0_11_11_0: out = 8'b0_00_0_11_00;
        9'b0_00_0_11_11_1: out = 8'b0_00_0_11_00;
        9'b0_00_1_00_00_0: out = 8'b0_00_1_00_01;
        9'b0_00_1_00_00_1: out = 8'b0_00_1_00_01;
        9'b0_00_1_00_01_0: out = 8'b1_00_1_00_01;
        9'b0_00_1_00_01_1: out = 8'b1_00_1_00_01;
        9'b0_00_1_00_10_0: out = 8'b1_00_1_00_10;
        9'b0_00_1_00_10_1: out = 8'b1_00_1_00_10;
        9'b0_00_1_00_11_0: out = 8'b1_00_0_00_01;
        9'b0_00_1_00_11_1: out = 8'b1_00_0_00_01;
        9'b0_00_1_01_00_0: out = 8'b0_00_1_01_00;
        9'b0_00_1_01_00_1: out = 8'b0_00_1_01_00;
        9'b0_00_1_01_01_0: out = 8'b0_00_1_01_01;
        9'b0_00_1_01_01_1: out = 8'b0_00_1_01_01;
        9'b0_00_1_01_10_0: out = 8'b1_01_1_00_10;
        9'b0_00_1_01_10_1: out = 8'b1_01_1_00_10;
        9'b0_00_1_01_11_0: out = 8'b1_01_0_00_10;
        9'b0_00_1_01_11_1: out = 8'b1_01_0_00_10;
        9'b0_00_1_10_00_0: out = 8'b0_00_1_10_00;
        9'b0_00_1_10_00_1: out = 8'b0_00_1_10_00;
        9'b0_00_1_10_01_0: out = 8'b0_00_1_10_01;
        9'b0_00_1_10_01_1: out = 8'b0_00_1_10_01;
        9'b0_00_1_10_10_0: out = 8'b1_10_1_00_10;
        9'b0_00_1_10_10_1: out = 8'b1_01_1_01_10;
        9'b0_00_1_10_11_0: out = 8'b1_10_0_00_10;
        9'b0_00_1_10_11_1: out = 8'b1_10_0_00_10;
        9'b0_00_1_11_00_0: out = 8'b0_00_1_11_00;
        9'b0_00_1_11_00_1: out = 8'b0_00_1_11_00;
        9'b0_00_1_11_01_0: out = 8'b0_00_1_11_01;
        9'b0_00_1_11_01_1: out = 8'b0_00_1_11_01;
        9'b0_00_1_11_10_0: out = 8'b1_11_1_00_10;
        9'b0_00_1_11_10_1: out = 8'b1_10_1_01_10;
        9'b0_00_1_11_11_0: out = 8'b1_11_0_00_10;
        9'b0_00_1_11_11_1: out = 8'b1_11_0_00_10;
        9'b0_01_0_00_00_0: out = 8'b1_01_1_00_10;
        9'b0_01_0_00_00_1: out = 8'b1_00_1_01_10;
        9'b0_01_0_00_01_0: out = 8'b1_01_1_00_10;
        9'b0_01_0_00_01_1: out = 8'b1_01_1_00_10;
        9'b0_01_0_00_10_0: out = 8'b1_00_0_01_10;
        9'b0_01_0_00_10_1: out = 8'b1_00_0_01_10;
        9'b0_01_0_00_11_0: out = 8'b0_00_0_01_01;
        9'b0_01_0_00_11_1: out = 8'b0_00_0_01_01;
        9'b0_01_0_01_00_0: out = 8'b1_10_1_00_11;
        9'b0_01_0_01_00_1: out = 8'b1_01_1_01_11;
        9'b0_01_0_01_01_0: out = 8'b1_10_0_00_11;
        9'b0_01_0_01_01_1: out = 8'b1_10_0_00_11;
        9'b0_01_0_01_10_0: out = 8'b1_00_0_10_01;
        9'b0_01_0_01_10_1: out = 8'b1_00_0_10_01;
        9'b0_01_0_01_11_0: out = 8'b0_01_0_01_01;
        9'b0_01_0_01_11_1: out = 8'b0_00_0_10_01;
        9'b0_01_0_10_00_0: out = 8'b1_11_1_00_11;
        9'b0_01_0_10_00_1: out = 8'b1_11_1_00_11;
        9'b0_01_0_10_01_0: out = 8'b1_11_0_00_11;
        9'b0_01_0_10_01_1: out = 8'b1_11_0_00_11;
        9'b0_01_0_10_10_0: out = 8'b1_00_0_11_01;
        9'b0_01_0_10_10_1: out = 8'b1_00_0_11_01;
        9'b0_01_0_10_11_0: out = 8'b0_01_0_10_01;
        9'b0_01_0_10_11_1: out = 8'b0_00_0_11_01;
        9'b0_01_0_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_01_0_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_01_0_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_01_0_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_01_0_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_01_0_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_01_0_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_01_0_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_01_1_00_00_0: out = 8'b0_00_1_01_01;
        9'b0_01_1_00_00_1: out = 8'b0_00_1_01_01;
        9'b0_01_1_00_01_0: out = 8'b1_00_1_01_10;
        9'b0_01_1_00_01_1: out = 8'b1_00_1_01_10;
        9'b0_01_1_00_10_0: out = 8'b1_01_0_00_10;
        9'b0_01_1_00_10_1: out = 8'b1_01_0_00_10;
        9'b0_01_1_00_11_0: out = 8'b1_01_0_00_10;
        9'b0_01_1_00_11_1: out = 8'b1_00_0_01_10;
        9'b0_01_1_01_00_0: out = 8'b0_01_1_01_01;
        9'b0_01_1_01_00_1: out = 8'b0_00_1_10_01;
        9'b0_01_1_01_01_0: out = 8'b1_00_1_10_01;
        9'b0_01_1_01_01_1: out = 8'b1_00_1_10_01;
        9'b0_01_1_01_10_0: out = 8'b1_10_1_00_11;
        9'b0_01_1_01_10_1: out = 8'b1_10_1_00_11;
        9'b0_01_1_01_11_0: out = 8'b1_10_0_00_11;
        9'b0_01_1_01_11_1: out = 8'b1_01_0_01_11;
        9'b0_01_1_10_00_0: out = 8'b0_01_1_10_01;
        9'b0_01_1_10_00_1: out = 8'b0_00_1_11_01;
        9'b0_01_1_10_01_0: out = 8'b1_00_1_11_01;
        9'b0_01_1_10_01_1: out = 8'b1_00_1_11_01;
        9'b0_01_1_10_10_0: out = 8'b1_11_1_00_11;
        9'b0_01_1_10_10_1: out = 8'b1_11_1_00_11;
        9'b0_01_1_10_11_0: out = 8'b1_11_0_00_11;
        9'b0_01_1_10_11_1: out = 8'b1_11_0_00_11;
        9'b0_01_1_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_01_1_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_01_1_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_01_1_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_01_1_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_01_1_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_01_1_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_01_1_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_00_00_0: out = 8'b1_01_1_01_11;
        9'b0_10_0_00_00_1: out = 8'b1_00_1_10_11;
        9'b0_10_0_00_01_0: out = 8'b1_10_1_00_11;
        9'b0_10_0_00_01_1: out = 8'b1_10_1_00_11;
        9'b0_10_0_00_10_0: out = 8'b1_01_0_01_10;
        9'b0_10_0_00_10_1: out = 8'b1_00_0_10_10;
        9'b0_10_0_00_11_0: out = 8'b0_00_0_10_01;
        9'b0_10_0_00_11_1: out = 8'b0_00_0_10_01;
        9'b0_10_0_01_00_0: out = 8'b1_11_1_00_11;
        9'b0_10_0_01_00_1: out = 8'b1_10_1_01_11;
        9'b0_10_0_01_01_0: out = 8'b1_11_0_00_11;
        9'b0_10_0_01_01_1: out = 8'b1_11_0_00_11;
        9'b0_10_0_01_10_0: out = 8'b1_00_0_11_10;
        9'b0_10_0_01_10_1: out = 8'b1_00_0_11_10;
        9'b0_10_0_01_11_0: out = 8'b0_00_0_11_01;
        9'b0_10_0_01_11_1: out = 8'b0_00_0_11_01;
        9'b0_10_0_10_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_10_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_10_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_10_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_10_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_10_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_10_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_10_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_0_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_00_00_0: out = 8'b0_00_1_10_01;
        9'b0_10_1_00_00_1: out = 8'b0_00_1_10_01;
        9'b0_10_1_00_01_0: out = 8'b1_01_1_01_10;
        9'b0_10_1_00_01_1: out = 8'b1_00_1_10_10;
        9'b0_10_1_00_10_0: out = 8'b1_10_0_00_11;
        9'b0_10_1_00_10_1: out = 8'b1_10_0_00_11;
        9'b0_10_1_00_11_0: out = 8'b1_01_0_01_11;
        9'b0_10_1_00_11_1: out = 8'b1_00_0_10_11;
        9'b0_10_1_01_00_0: out = 8'b0_00_1_11_01;
        9'b0_10_1_01_00_1: out = 8'b0_00_1_11_01;
        9'b0_10_1_01_01_0: out = 8'b1_00_1_11_10;
        9'b0_10_1_01_01_1: out = 8'b1_00_1_11_10;
        9'b0_10_1_01_10_0: out = 8'b1_11_1_00_11;
        9'b0_10_1_01_10_1: out = 8'b1_11_1_00_11;
        9'b0_10_1_01_11_0: out = 8'b1_11_0_00_11;
        9'b0_10_1_01_11_1: out = 8'b1_10_0_01_11;
        9'b0_10_1_10_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_10_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_10_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_10_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_10_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_10_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_10_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_10_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_10_1_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_00_00_0: out = 8'b1_10_1_01_11;
        9'b0_11_0_00_00_1: out = 8'b1_01_1_10_11;
        9'b0_11_0_00_01_0: out = 8'b1_11_1_00_11;
        9'b0_11_0_00_01_1: out = 8'b1_11_1_00_11;
        9'b0_11_0_00_10_0: out = 8'b1_01_0_10_11;
        9'b0_11_0_00_10_1: out = 8'b1_00_0_11_11;
        9'b0_11_0_00_11_0: out = 8'b0_00_0_11_10;
        9'b0_11_0_00_11_1: out = 8'b0_00_0_11_10;
        9'b0_11_0_01_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_01_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_01_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_01_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_01_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_01_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_01_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_01_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_10_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_10_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_10_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_10_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_10_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_10_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_10_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_10_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_0_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_00_00_0: out = 8'b0_00_1_11_10;
        9'b0_11_1_00_00_1: out = 8'b0_00_1_11_10;
        9'b0_11_1_00_01_0: out = 8'b1_01_1_10_11;
        9'b0_11_1_00_01_1: out = 8'b1_00_1_11_11;
        9'b0_11_1_00_10_0: out = 8'b1_11_0_00_11;
        9'b0_11_1_00_10_1: out = 8'b1_11_0_00_11;
        9'b0_11_1_00_11_0: out = 8'b1_10_0_01_11;
        9'b0_11_1_00_11_1: out = 8'b1_01_0_10_11;
        9'b0_11_1_01_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_01_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_01_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_01_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_01_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_01_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_01_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_01_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_10_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_10_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_10_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_10_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_10_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_10_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_10_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_10_11_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b0_11_1_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_00_0_00_00_0: out = 8'b1_00_0_00_00;
        9'b1_00_0_00_00_1: out = 8'b1_00_0_00_00;
        9'b1_00_0_00_01_0: out = 8'b1_00_0_00_00;
        9'b1_00_0_00_01_1: out = 8'b1_00_0_00_00;
        9'b1_00_0_00_10_0: out = 8'b1_00_0_00_00;
        9'b1_00_0_00_10_1: out = 8'b1_00_0_00_00;
        9'b1_00_0_00_11_0: out = 8'b1_00_0_00_00;
        9'b1_00_0_00_11_1: out = 8'b1_00_0_00_00;
        9'b1_00_0_01_00_0: out = 8'b1_01_0_00_01;
        9'b1_00_0_01_00_1: out = 8'b1_00_0_01_01;
        9'b1_00_0_01_01_0: out = 8'b1_00_0_01_00;
        9'b1_00_0_01_01_1: out = 8'b1_00_0_01_00;
        9'b1_00_0_01_10_0: out = 8'b1_00_0_01_00;
        9'b1_00_0_01_10_1: out = 8'b1_00_0_01_00;
        9'b1_00_0_01_11_0: out = 8'b1_00_0_01_00;
        9'b1_00_0_01_11_1: out = 8'b1_00_0_01_00;
        9'b1_00_0_10_00_0: out = 8'b1_10_0_00_01;
        9'b1_00_0_10_00_1: out = 8'b1_01_0_01_01;
        9'b1_00_0_10_01_0: out = 8'b1_00_0_10_00;
        9'b1_00_0_10_01_1: out = 8'b1_00_0_10_00;
        9'b1_00_0_10_10_0: out = 8'b1_00_0_10_00;
        9'b1_00_0_10_10_1: out = 8'b1_00_0_10_00;
        9'b1_00_0_10_11_0: out = 8'b1_00_0_10_00;
        9'b1_00_0_10_11_1: out = 8'b1_00_0_10_00;
        9'b1_00_0_11_00_0: out = 8'b1_10_0_01_01;
        9'b1_00_0_11_00_1: out = 8'b1_01_0_10_01;
        9'b1_00_0_11_01_0: out = 8'b1_00_0_11_00;
        9'b1_00_0_11_01_1: out = 8'b1_00_0_11_00;
        9'b1_00_0_11_10_0: out = 8'b1_00_0_11_00;
        9'b1_00_0_11_10_1: out = 8'b1_00_0_11_00;
        9'b1_00_0_11_11_0: out = 8'b1_00_0_11_00;
        9'b1_00_0_11_11_1: out = 8'b1_00_0_11_00;
        9'b1_00_1_00_00_0: out = 8'b1_00_1_00_00;
        9'b1_00_1_00_00_1: out = 8'b1_00_1_00_00;
        9'b1_00_1_00_01_0: out = 8'b1_00_1_00_00;
        9'b1_00_1_00_01_1: out = 8'b1_00_1_00_00;
        9'b1_00_1_00_10_0: out = 8'b1_00_1_00_00;
        9'b1_00_1_00_10_1: out = 8'b1_00_1_00_00;
        9'b1_00_1_00_11_0: out = 8'b1_00_1_00_00;
        9'b1_00_1_00_11_1: out = 8'b1_00_1_00_00;
        9'b1_00_1_01_00_0: out = 8'b1_00_1_01_00;
        9'b1_00_1_01_00_1: out = 8'b1_00_1_01_00;
        9'b1_00_1_01_01_0: out = 8'b1_00_1_01_00;
        9'b1_00_1_01_01_1: out = 8'b1_00_1_01_00;
        9'b1_00_1_01_10_0: out = 8'b1_00_1_01_00;
        9'b1_00_1_01_10_1: out = 8'b1_00_1_01_00;
        9'b1_00_1_01_11_0: out = 8'b1_01_1_00_01;
        9'b1_00_1_01_11_1: out = 8'b1_00_1_01_01;
        9'b1_00_1_10_00_0: out = 8'b1_00_1_10_00;
        9'b1_00_1_10_00_1: out = 8'b1_00_1_10_00;
        9'b1_00_1_10_01_0: out = 8'b1_00_1_10_00;
        9'b1_00_1_10_01_1: out = 8'b1_00_1_10_00;
        9'b1_00_1_10_10_0: out = 8'b1_00_1_10_00;
        9'b1_00_1_10_10_1: out = 8'b1_00_1_10_00;
        9'b1_00_1_10_11_0: out = 8'b1_10_1_00_01;
        9'b1_00_1_10_11_1: out = 8'b1_01_1_01_01;
        9'b1_00_1_11_00_0: out = 8'b1_00_1_11_00;
        9'b1_00_1_11_00_1: out = 8'b1_00_1_11_00;
        9'b1_00_1_11_01_0: out = 8'b1_00_1_11_00;
        9'b1_00_1_11_01_1: out = 8'b1_00_1_11_00;
        9'b1_00_1_11_10_0: out = 8'b1_00_1_11_00;
        9'b1_00_1_11_10_1: out = 8'b1_00_1_11_00;
        9'b1_00_1_11_11_0: out = 8'b1_10_1_01_01;
        9'b1_00_1_11_11_1: out = 8'b1_01_1_10_01;
        9'b1_01_0_00_00_0: out = 8'b1_01_0_00_00;
        9'b1_01_0_00_00_1: out = 8'b1_00_0_01_00;
        9'b1_01_0_00_01_0: out = 8'b1_01_0_00_00;
        9'b1_01_0_00_01_1: out = 8'b1_00_0_01_00;
        9'b1_01_0_00_10_0: out = 8'b1_01_0_00_00;
        9'b1_01_0_00_10_1: out = 8'b1_00_0_01_00;
        9'b1_01_0_00_11_0: out = 8'b1_01_0_00_00;
        9'b1_01_0_00_11_1: out = 8'b1_00_0_01_00;
        9'b1_01_0_01_00_0: out = 8'b1_01_0_01_00;
        9'b1_01_0_01_00_1: out = 8'b1_00_0_10_00;
        9'b1_01_0_01_01_0: out = 8'b1_01_0_01_00;
        9'b1_01_0_01_01_1: out = 8'b1_00_0_10_00;
        9'b1_01_0_01_10_0: out = 8'b1_01_0_01_00;
        9'b1_01_0_01_10_1: out = 8'b1_00_0_10_00;
        9'b1_01_0_01_11_0: out = 8'b1_01_0_01_00;
        9'b1_01_0_01_11_1: out = 8'b1_00_0_10_00;
        9'b1_01_0_10_00_0: out = 8'b1_01_0_10_00;
        9'b1_01_0_10_00_1: out = 8'b1_00_0_11_00;
        9'b1_01_0_10_01_0: out = 8'b1_01_0_10_00;
        9'b1_01_0_10_01_1: out = 8'b1_00_0_11_00;
        9'b1_01_0_10_10_0: out = 8'b1_01_0_10_00;
        9'b1_01_0_10_10_1: out = 8'b1_00_0_11_00;
        9'b1_01_0_10_11_0: out = 8'b1_01_0_10_00;
        9'b1_01_0_10_11_1: out = 8'b1_00_0_11_00;
        9'b1_01_0_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_01_0_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_01_0_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_01_0_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_01_0_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_01_0_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_01_0_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_01_0_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_01_1_00_00_0: out = 8'b1_01_1_00_00;
        9'b1_01_1_00_00_1: out = 8'b1_00_1_01_00;
        9'b1_01_1_00_01_0: out = 8'b1_01_1_00_00;
        9'b1_01_1_00_01_1: out = 8'b1_00_1_01_00;
        9'b1_01_1_00_10_0: out = 8'b1_01_1_00_00;
        9'b1_01_1_00_10_1: out = 8'b1_00_1_01_00;
        9'b1_01_1_00_11_0: out = 8'b1_01_1_00_00;
        9'b1_01_1_00_11_1: out = 8'b1_00_1_01_00;
        9'b1_01_1_01_00_0: out = 8'b1_01_1_01_00;
        9'b1_01_1_01_00_1: out = 8'b1_00_1_10_00;
        9'b1_01_1_01_01_0: out = 8'b1_01_1_01_00;
        9'b1_01_1_01_01_1: out = 8'b1_00_1_10_00;
        9'b1_01_1_01_10_0: out = 8'b1_01_1_01_00;
        9'b1_01_1_01_10_1: out = 8'b1_00_1_10_00;
        9'b1_01_1_01_11_0: out = 8'b1_01_1_01_00;
        9'b1_01_1_01_11_1: out = 8'b1_00_1_10_00;
        9'b1_01_1_10_00_0: out = 8'b1_01_1_10_00;
        9'b1_01_1_10_00_1: out = 8'b1_00_1_11_00;
        9'b1_01_1_10_01_0: out = 8'b1_01_1_10_00;
        9'b1_01_1_10_01_1: out = 8'b1_00_1_11_00;
        9'b1_01_1_10_10_0: out = 8'b1_01_1_10_00;
        9'b1_01_1_10_10_1: out = 8'b1_00_1_11_00;
        9'b1_01_1_10_11_0: out = 8'b1_01_1_10_00;
        9'b1_01_1_10_11_1: out = 8'b1_00_1_11_00;
        9'b1_01_1_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_01_1_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_01_1_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_01_1_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_01_1_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_01_1_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_01_1_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_01_1_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_00_00_0: out = 8'b1_10_0_00_00;
        9'b1_10_0_00_00_1: out = 8'b1_10_0_00_00;
        9'b1_10_0_00_01_0: out = 8'b1_10_0_00_00;
        9'b1_10_0_00_01_1: out = 8'b1_10_0_00_00;
        9'b1_10_0_00_10_0: out = 8'b1_10_0_00_00;
        9'b1_10_0_00_10_1: out = 8'b1_10_0_00_00;
        9'b1_10_0_00_11_0: out = 8'b1_10_0_00_00;
        9'b1_10_0_00_11_1: out = 8'b1_10_0_00_00;
        9'b1_10_0_01_00_0: out = 8'b1_11_0_00_00;
        9'b1_10_0_01_00_1: out = 8'b1_10_0_01_00;
        9'b1_10_0_01_01_0: out = 8'b1_11_0_00_00;
        9'b1_10_0_01_01_1: out = 8'b1_10_0_01_00;
        9'b1_10_0_01_10_0: out = 8'b1_11_0_00_00;
        9'b1_10_0_01_10_1: out = 8'b1_10_0_01_00;
        9'b1_10_0_01_11_0: out = 8'b1_11_0_00_00;
        9'b1_10_0_01_11_1: out = 8'b1_10_0_01_00;
        9'b1_10_0_10_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_10_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_10_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_10_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_10_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_10_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_10_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_10_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_0_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_00_00_0: out = 8'b1_10_1_00_00;
        9'b1_10_1_00_00_1: out = 8'b1_10_1_00_00;
        9'b1_10_1_00_01_0: out = 8'b1_10_1_00_00;
        9'b1_10_1_00_01_1: out = 8'b1_10_1_00_00;
        9'b1_10_1_00_10_0: out = 8'b1_10_1_00_00;
        9'b1_10_1_00_10_1: out = 8'b1_10_1_00_00;
        9'b1_10_1_00_11_0: out = 8'b1_10_1_00_00;
        9'b1_10_1_00_11_1: out = 8'b1_10_1_00_00;
        9'b1_10_1_01_00_0: out = 8'b1_11_1_00_00;
        9'b1_10_1_01_00_1: out = 8'b1_10_1_01_00;
        9'b1_10_1_01_01_0: out = 8'b1_11_1_00_00;
        9'b1_10_1_01_01_1: out = 8'b1_10_1_01_00;
        9'b1_10_1_01_10_0: out = 8'b1_11_1_00_00;
        9'b1_10_1_01_10_1: out = 8'b1_10_1_01_00;
        9'b1_10_1_01_11_0: out = 8'b1_11_1_00_00;
        9'b1_10_1_01_11_1: out = 8'b1_10_1_01_00;
        9'b1_10_1_10_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_10_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_10_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_10_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_10_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_10_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_10_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_10_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_10_1_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_00_00_0: out = 8'b1_11_0_00_00;
        9'b1_11_0_00_00_1: out = 8'b1_11_0_00_00;
        9'b1_11_0_00_01_0: out = 8'b1_11_0_00_00;
        9'b1_11_0_00_01_1: out = 8'b1_11_0_00_00;
        9'b1_11_0_00_10_0: out = 8'b1_11_0_00_00;
        9'b1_11_0_00_10_1: out = 8'b1_11_0_00_00;
        9'b1_11_0_00_11_0: out = 8'b1_11_0_00_00;
        9'b1_11_0_00_11_1: out = 8'b1_11_0_00_00;
        9'b1_11_0_01_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_01_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_01_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_01_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_01_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_01_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_01_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_01_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_10_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_10_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_10_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_10_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_10_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_10_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_10_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_10_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_0_11_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_00_00_0: out = 8'b1_11_1_00_00;
        9'b1_11_1_00_00_1: out = 8'b1_11_1_00_00;
        9'b1_11_1_00_01_0: out = 8'b1_11_1_00_00;
        9'b1_11_1_00_01_1: out = 8'b1_11_1_00_00;
        9'b1_11_1_00_10_0: out = 8'b1_11_1_00_00;
        9'b1_11_1_00_10_1: out = 8'b1_11_1_00_00;
        9'b1_11_1_00_11_0: out = 8'b1_11_1_00_00;
        9'b1_11_1_00_11_1: out = 8'b1_11_1_00_00;
        9'b1_11_1_01_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_01_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_01_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_01_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_01_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_01_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_01_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_01_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_10_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_10_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_10_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_10_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_10_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_10_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_10_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_10_11_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_11_00_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_11_00_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_11_01_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_11_01_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_11_10_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_11_10_1: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_11_11_0: out = 8'bx_xx_x_xx_xx;
        9'b1_11_1_11_11_1: out = 8'bx_xx_x_xx_xx;
    endcase
end

endmodule


`default_nettype none

module bitmap(
    input wire [12:0] in,
    output reg out
);

always @(*) begin
    case(in)
        13'b0000000000000: out = 1'b1;
        13'b0000000000001: out = 1'b1;
        13'b0000000000010: out = 1'b0;
        13'b0000000000011: out = 1'b1;
        13'b0000000000100: out = 1'b1;
        13'b0000000000101: out = 1'b1;
        13'b0000000000110: out = 1'b1;
        13'b0000000000111: out = 1'b1;
        13'b0000000001000: out = 1'b0;
        13'b0000000001001: out = 1'b0;
        13'b0000000001010: out = 1'b1;
        13'b0000000001011: out = 1'b1;
        13'b0000000001100: out = 1'b1;
        13'b0000000001101: out = 1'b1;
        13'b0000000001110: out = 1'b1;
        13'b0000000001111: out = 1'b0;
        13'b0000000010000: out = 1'b0;
        13'b0000000010001: out = 1'b0;
        13'b0000000010010: out = 1'b0;
        13'b0000000010011: out = 1'b1;
        13'b0000000010100: out = 1'b1;
        13'b0000000010101: out = 1'b0;
        13'b0000000010110: out = 1'b0;
        13'b0000000010111: out = 1'b0;
        13'b0000000011000: out = 1'b1;
        13'b0000000011001: out = 1'b1;
        13'b0000000011010: out = 1'b0;
        13'b0000000011011: out = 1'b0;
        13'b0000000011100: out = 1'b0;
        13'b0000000011101: out = 1'b1;
        13'b0000000011110: out = 1'b1;
        13'b0000000011111: out = 1'b0;
        13'b0000000100000: out = 1'b0;
        13'b0000000100001: out = 1'b0;
        13'b0000000100010: out = 1'b1;
        13'b0000000100011: out = 1'b1;
        13'b0000000100100: out = 1'b0;
        13'b0000000100101: out = 1'b1;
        13'b0000000100110: out = 1'b1;
        13'b0000000100111: out = 1'b0;
        13'b0000000101000: out = 1'b0;
        13'b0000000101001: out = 1'b1;
        13'b0000000101010: out = 1'b1;
        13'b0000000101011: out = 1'b0;
        13'b0000000101100: out = 1'b1;
        13'b0000000101101: out = 1'b1;
        13'b0000000101110: out = 1'b0;
        13'b0000000101111: out = 1'b0;
        13'b0000000110000: out = 1'b1;
        13'b0000000110001: out = 1'b1;
        13'b0000000110010: out = 1'b0;
        13'b0000000110011: out = 1'b0;
        13'b0000000110100: out = 1'b0;
        13'b0000000110101: out = 1'b0;
        13'b0000000110110: out = 1'b0;
        13'b0000000110111: out = 1'b0;
        13'b0000000111000: out = 1'b0;
        13'b0000000111001: out = 1'b0;
        13'b0000000111010: out = 1'b0;
        13'b0000000111011: out = 1'b0;
        13'b0000000111100: out = 1'b0;
        13'b0000000111101: out = 1'b0;
        13'b0000000111110: out = 1'b0;
        13'b0000000111111: out = 1'b0;
        13'b0000001000000: out = 1'b0;
        13'b0000001000001: out = 1'b0;
        13'b0000001000010: out = 1'b0;
        13'b0000001000011: out = 1'b0;
        13'b0000001000100: out = 1'b0;
        13'b0000001000101: out = 1'b0;
        13'b0000001000110: out = 1'b0;
        13'b0000001000111: out = 1'b0;
        13'b0000001001000: out = 1'b0;
        13'b0000001001001: out = 1'b0;
        13'b0000001001010: out = 1'b0;
        13'b0000001001011: out = 1'b0;
        13'b0000001001100: out = 1'b0;
        13'b0000001001101: out = 1'b0;
        13'b0000001001110: out = 1'b0;
        13'b0000001001111: out = 1'b0;
        13'b0000001010000: out = 1'b1;
        13'b0000001010001: out = 1'b1;
        13'b0000001010010: out = 1'b1;
        13'b0000001010011: out = 1'b0;
        13'b0000001010100: out = 1'b0;
        13'b0000001010101: out = 1'b0;
        13'b0000001010110: out = 1'b0;
        13'b0000001010111: out = 1'b0;
        13'b0000001011000: out = 1'b0;
        13'b0000001011001: out = 1'b0;
        13'b0000001011010: out = 1'b0;
        13'b0000001011011: out = 1'b1;
        13'b0000001011100: out = 1'b1;
        13'b0000001011101: out = 1'b1;
        13'b0000001011110: out = 1'b0;
        13'b0000001011111: out = 1'b0;
        13'b0000001100000: out = 1'b0;
        13'b0000001100001: out = 1'b1;
        13'b0000001100010: out = 1'b1;
        13'b0000001100011: out = 1'b1;
        13'b0000001100100: out = 1'b0;
        13'b0000001100101: out = 1'b0;
        13'b0000001100110: out = 1'b0;
        13'b0000001100111: out = 1'b0;
        13'b0000001101000: out = 1'b0;
        13'b0000001101001: out = 1'b0;
        13'b0000001101010: out = 1'b1;
        13'b0000001101011: out = 1'b1;
        13'b0000001101100: out = 1'b0;
        13'b0000001101101: out = 1'b0;
        13'b0000001101110: out = 1'b0;
        13'b0000001101111: out = 1'b0;
        13'b0000001110000: out = 1'b0;
        13'b0000001110001: out = 1'b1;
        13'b0000001110010: out = 1'b1;
        13'b0000001110011: out = 1'b0;
        13'b0000001110100: out = 1'b0;
        13'b0000001110101: out = 1'b1;
        13'b0000001110110: out = 1'b1;
        13'b0000001110111: out = 1'b0;
        13'b0000001111000: out = 1'b1;
        13'b0000001111001: out = 1'b1;
        13'b0000001111010: out = 1'b0;
        13'b0000001111011: out = 1'b0;
        13'b0000001111100: out = 1'b1;
        13'b0000001111101: out = 1'b1;
        13'b0000001111110: out = 1'b0;
        13'b0000001111111: out = 1'b0;
        13'b0000010000000: out = 1'b1;
        13'b0000010000001: out = 1'b1;
        13'b0000010000010: out = 1'b0;
        13'b0000010000011: out = 1'b1;
        13'b0000010000100: out = 1'b1;
        13'b0000010000101: out = 1'b1;
        13'b0000010000110: out = 1'b1;
        13'b0000010000111: out = 1'b1;
        13'b0000010001000: out = 1'b1;
        13'b0000010001001: out = 1'b0;
        13'b0000010001010: out = 1'b1;
        13'b0000010001011: out = 1'b1;
        13'b0000010001100: out = 1'b1;
        13'b0000010001101: out = 1'b1;
        13'b0000010001110: out = 1'b1;
        13'b0000010001111: out = 1'b0;
        13'b0000010010000: out = 1'b0;
        13'b0000010010001: out = 1'b0;
        13'b0000010010010: out = 1'b0;
        13'b0000010010011: out = 1'b1;
        13'b0000010010100: out = 1'b1;
        13'b0000010010101: out = 1'b0;
        13'b0000010010110: out = 1'b0;
        13'b0000010010111: out = 1'b0;
        13'b0000010011000: out = 1'b1;
        13'b0000010011001: out = 1'b1;
        13'b0000010011010: out = 1'b0;
        13'b0000010011011: out = 1'b0;
        13'b0000010011100: out = 1'b0;
        13'b0000010011101: out = 1'b1;
        13'b0000010011110: out = 1'b1;
        13'b0000010011111: out = 1'b0;
        13'b0000010100000: out = 1'b0;
        13'b0000010100001: out = 1'b0;
        13'b0000010100010: out = 1'b1;
        13'b0000010100011: out = 1'b1;
        13'b0000010100100: out = 1'b0;
        13'b0000010100101: out = 1'b1;
        13'b0000010100110: out = 1'b1;
        13'b0000010100111: out = 1'b0;
        13'b0000010101000: out = 1'b0;
        13'b0000010101001: out = 1'b1;
        13'b0000010101010: out = 1'b1;
        13'b0000010101011: out = 1'b0;
        13'b0000010101100: out = 1'b1;
        13'b0000010101101: out = 1'b1;
        13'b0000010101110: out = 1'b0;
        13'b0000010101111: out = 1'b0;
        13'b0000010110000: out = 1'b1;
        13'b0000010110001: out = 1'b1;
        13'b0000010110010: out = 1'b0;
        13'b0000010110011: out = 1'b0;
        13'b0000010110100: out = 1'b0;
        13'b0000010110101: out = 1'b0;
        13'b0000010110110: out = 1'b0;
        13'b0000010110111: out = 1'b0;
        13'b0000010111000: out = 1'b0;
        13'b0000010111001: out = 1'b0;
        13'b0000010111010: out = 1'b0;
        13'b0000010111011: out = 1'b0;
        13'b0000010111100: out = 1'b0;
        13'b0000010111101: out = 1'b0;
        13'b0000010111110: out = 1'b0;
        13'b0000010111111: out = 1'b0;
        13'b0000011000000: out = 1'b0;
        13'b0000011000001: out = 1'b0;
        13'b0000011000010: out = 1'b0;
        13'b0000011000011: out = 1'b0;
        13'b0000011000100: out = 1'b0;
        13'b0000011000101: out = 1'b0;
        13'b0000011000110: out = 1'b0;
        13'b0000011000111: out = 1'b0;
        13'b0000011001000: out = 1'b0;
        13'b0000011001001: out = 1'b0;
        13'b0000011001010: out = 1'b0;
        13'b0000011001011: out = 1'b0;
        13'b0000011001100: out = 1'b0;
        13'b0000011001101: out = 1'b0;
        13'b0000011001110: out = 1'b0;
        13'b0000011001111: out = 1'b0;
        13'b0000011010000: out = 1'b1;
        13'b0000011010001: out = 1'b1;
        13'b0000011010010: out = 1'b0;
        13'b0000011010011: out = 1'b0;
        13'b0000011010100: out = 1'b0;
        13'b0000011010101: out = 1'b0;
        13'b0000011010110: out = 1'b0;
        13'b0000011010111: out = 1'b0;
        13'b0000011011000: out = 1'b0;
        13'b0000011011001: out = 1'b0;
        13'b0000011011010: out = 1'b0;
        13'b0000011011011: out = 1'b1;
        13'b0000011011100: out = 1'b1;
        13'b0000011011101: out = 1'b1;
        13'b0000011011110: out = 1'b0;
        13'b0000011011111: out = 1'b0;
        13'b0000011100000: out = 1'b0;
        13'b0000011100001: out = 1'b0;
        13'b0000011100010: out = 1'b1;
        13'b0000011100011: out = 1'b1;
        13'b0000011100100: out = 1'b0;
        13'b0000011100101: out = 1'b0;
        13'b0000011100110: out = 1'b0;
        13'b0000011100111: out = 1'b0;
        13'b0000011101000: out = 1'b0;
        13'b0000011101001: out = 1'b0;
        13'b0000011101010: out = 1'b1;
        13'b0000011101011: out = 1'b1;
        13'b0000011101100: out = 1'b0;
        13'b0000011101101: out = 1'b0;
        13'b0000011101110: out = 1'b0;
        13'b0000011101111: out = 1'b0;
        13'b0000011110000: out = 1'b0;
        13'b0000011110001: out = 1'b1;
        13'b0000011110010: out = 1'b1;
        13'b0000011110011: out = 1'b0;
        13'b0000011110100: out = 1'b0;
        13'b0000011110101: out = 1'b1;
        13'b0000011110110: out = 1'b1;
        13'b0000011110111: out = 1'b0;
        13'b0000011111000: out = 1'b1;
        13'b0000011111001: out = 1'b1;
        13'b0000011111010: out = 1'b0;
        13'b0000011111011: out = 1'b0;
        13'b0000011111100: out = 1'b1;
        13'b0000011111101: out = 1'b1;
        13'b0000011111110: out = 1'b0;
        13'b0000011111111: out = 1'b0;
        13'b0000100000000: out = 1'b1;
        13'b0000100000001: out = 1'b1;
        13'b0000100000010: out = 1'b0;
        13'b0000100000011: out = 1'b1;
        13'b0000100000100: out = 1'b1;
        13'b0000100000101: out = 1'b0;
        13'b0000100000110: out = 1'b0;
        13'b0000100000111: out = 1'b1;
        13'b0000100001000: out = 1'b1;
        13'b0000100001001: out = 1'b0;
        13'b0000100001010: out = 1'b1;
        13'b0000100001011: out = 1'b1;
        13'b0000100001100: out = 1'b0;
        13'b0000100001101: out = 1'b0;
        13'b0000100001110: out = 1'b0;
        13'b0000100001111: out = 1'b0;
        13'b0000100010000: out = 1'b0;
        13'b0000100010001: out = 1'b0;
        13'b0000100010010: out = 1'b0;
        13'b0000100010011: out = 1'b1;
        13'b0000100010100: out = 1'b1;
        13'b0000100010101: out = 1'b0;
        13'b0000100010110: out = 1'b0;
        13'b0000100010111: out = 1'b0;
        13'b0000100011000: out = 1'b1;
        13'b0000100011001: out = 1'b1;
        13'b0000100011010: out = 1'b0;
        13'b0000100011011: out = 1'b0;
        13'b0000100011100: out = 1'b0;
        13'b0000100011101: out = 1'b1;
        13'b0000100011110: out = 1'b1;
        13'b0000100011111: out = 1'b0;
        13'b0000100100000: out = 1'b0;
        13'b0000100100001: out = 1'b0;
        13'b0000100100010: out = 1'b1;
        13'b0000100100011: out = 1'b1;
        13'b0000100100100: out = 1'b0;
        13'b0000100100101: out = 1'b1;
        13'b0000100100110: out = 1'b1;
        13'b0000100100111: out = 1'b0;
        13'b0000100101000: out = 1'b0;
        13'b0000100101001: out = 1'b1;
        13'b0000100101010: out = 1'b1;
        13'b0000100101011: out = 1'b0;
        13'b0000100101100: out = 1'b1;
        13'b0000100101101: out = 1'b1;
        13'b0000100101110: out = 1'b0;
        13'b0000100101111: out = 1'b0;
        13'b0000100110000: out = 1'b1;
        13'b0000100110001: out = 1'b1;
        13'b0000100110010: out = 1'b0;
        13'b0000100110011: out = 1'b0;
        13'b0000100110100: out = 1'b0;
        13'b0000100110101: out = 1'b0;
        13'b0000100110110: out = 1'b0;
        13'b0000100110111: out = 1'b0;
        13'b0000100111000: out = 1'b0;
        13'b0000100111001: out = 1'b0;
        13'b0000100111010: out = 1'b0;
        13'b0000100111011: out = 1'b0;
        13'b0000100111100: out = 1'b0;
        13'b0000100111101: out = 1'b0;
        13'b0000100111110: out = 1'b0;
        13'b0000100111111: out = 1'b0;
        13'b0000101000000: out = 1'b0;
        13'b0000101000001: out = 1'b0;
        13'b0000101000010: out = 1'b0;
        13'b0000101000011: out = 1'b0;
        13'b0000101000100: out = 1'b0;
        13'b0000101000101: out = 1'b0;
        13'b0000101000110: out = 1'b0;
        13'b0000101000111: out = 1'b0;
        13'b0000101001000: out = 1'b0;
        13'b0000101001001: out = 1'b0;
        13'b0000101001010: out = 1'b0;
        13'b0000101001011: out = 1'b0;
        13'b0000101001100: out = 1'b0;
        13'b0000101001101: out = 1'b0;
        13'b0000101001110: out = 1'b0;
        13'b0000101001111: out = 1'b1;
        13'b0000101010000: out = 1'b1;
        13'b0000101010001: out = 1'b1;
        13'b0000101010010: out = 1'b0;
        13'b0000101010011: out = 1'b0;
        13'b0000101010100: out = 1'b0;
        13'b0000101010101: out = 1'b0;
        13'b0000101010110: out = 1'b0;
        13'b0000101010111: out = 1'b0;
        13'b0000101011000: out = 1'b0;
        13'b0000101011001: out = 1'b0;
        13'b0000101011010: out = 1'b0;
        13'b0000101011011: out = 1'b1;
        13'b0000101011100: out = 1'b1;
        13'b0000101011101: out = 1'b1;
        13'b0000101011110: out = 1'b0;
        13'b0000101011111: out = 1'b0;
        13'b0000101100000: out = 1'b0;
        13'b0000101100001: out = 1'b0;
        13'b0000101100010: out = 1'b1;
        13'b0000101100011: out = 1'b1;
        13'b0000101100100: out = 1'b1;
        13'b0000101100101: out = 1'b0;
        13'b0000101100110: out = 1'b0;
        13'b0000101100111: out = 1'b0;
        13'b0000101101000: out = 1'b0;
        13'b0000101101001: out = 1'b0;
        13'b0000101101010: out = 1'b1;
        13'b0000101101011: out = 1'b1;
        13'b0000101101100: out = 1'b0;
        13'b0000101101101: out = 1'b0;
        13'b0000101101110: out = 1'b1;
        13'b0000101101111: out = 1'b1;
        13'b0000101110000: out = 1'b0;
        13'b0000101110001: out = 1'b1;
        13'b0000101110010: out = 1'b1;
        13'b0000101110011: out = 1'b0;
        13'b0000101110100: out = 1'b0;
        13'b0000101110101: out = 1'b1;
        13'b0000101110110: out = 1'b1;
        13'b0000101110111: out = 1'b0;
        13'b0000101111000: out = 1'b1;
        13'b0000101111001: out = 1'b1;
        13'b0000101111010: out = 1'b0;
        13'b0000101111011: out = 1'b0;
        13'b0000101111100: out = 1'b1;
        13'b0000101111101: out = 1'b1;
        13'b0000101111110: out = 1'b0;
        13'b0000101111111: out = 1'b0;
        13'b0000110000000: out = 1'b1;
        13'b0000110000001: out = 1'b1;
        13'b0000110000010: out = 1'b0;
        13'b0000110000011: out = 1'b1;
        13'b0000110000100: out = 1'b1;
        13'b0000110000101: out = 1'b0;
        13'b0000110000110: out = 1'b0;
        13'b0000110000111: out = 1'b1;
        13'b0000110001000: out = 1'b1;
        13'b0000110001001: out = 1'b0;
        13'b0000110001010: out = 1'b1;
        13'b0000110001011: out = 1'b1;
        13'b0000110001100: out = 1'b0;
        13'b0000110001101: out = 1'b0;
        13'b0000110001110: out = 1'b0;
        13'b0000110001111: out = 1'b0;
        13'b0000110010000: out = 1'b0;
        13'b0000110010001: out = 1'b0;
        13'b0000110010010: out = 1'b0;
        13'b0000110010011: out = 1'b1;
        13'b0000110010100: out = 1'b1;
        13'b0000110010101: out = 1'b0;
        13'b0000110010110: out = 1'b0;
        13'b0000110010111: out = 1'b0;
        13'b0000110011000: out = 1'b1;
        13'b0000110011001: out = 1'b1;
        13'b0000110011010: out = 1'b0;
        13'b0000110011011: out = 1'b0;
        13'b0000110011100: out = 1'b0;
        13'b0000110011101: out = 1'b1;
        13'b0000110011110: out = 1'b1;
        13'b0000110011111: out = 1'b0;
        13'b0000110100000: out = 1'b0;
        13'b0000110100001: out = 1'b0;
        13'b0000110100010: out = 1'b1;
        13'b0000110100011: out = 1'b1;
        13'b0000110100100: out = 1'b0;
        13'b0000110100101: out = 1'b1;
        13'b0000110100110: out = 1'b1;
        13'b0000110100111: out = 1'b0;
        13'b0000110101000: out = 1'b0;
        13'b0000110101001: out = 1'b1;
        13'b0000110101010: out = 1'b1;
        13'b0000110101011: out = 1'b0;
        13'b0000110101100: out = 1'b1;
        13'b0000110101101: out = 1'b1;
        13'b0000110101110: out = 1'b0;
        13'b0000110101111: out = 1'b0;
        13'b0000110110000: out = 1'b1;
        13'b0000110110001: out = 1'b1;
        13'b0000110110010: out = 1'b0;
        13'b0000110110011: out = 1'b0;
        13'b0000110110100: out = 1'b0;
        13'b0000110110101: out = 1'b0;
        13'b0000110110110: out = 1'b0;
        13'b0000110110111: out = 1'b0;
        13'b0000110111000: out = 1'b0;
        13'b0000110111001: out = 1'b0;
        13'b0000110111010: out = 1'b0;
        13'b0000110111011: out = 1'b0;
        13'b0000110111100: out = 1'b0;
        13'b0000110111101: out = 1'b0;
        13'b0000110111110: out = 1'b0;
        13'b0000110111111: out = 1'b0;
        13'b0000111000000: out = 1'b0;
        13'b0000111000001: out = 1'b0;
        13'b0000111000010: out = 1'b0;
        13'b0000111000011: out = 1'b0;
        13'b0000111000100: out = 1'b0;
        13'b0000111000101: out = 1'b0;
        13'b0000111000110: out = 1'b0;
        13'b0000111000111: out = 1'b0;
        13'b0000111001000: out = 1'b0;
        13'b0000111001001: out = 1'b0;
        13'b0000111001010: out = 1'b0;
        13'b0000111001011: out = 1'b0;
        13'b0000111001100: out = 1'b0;
        13'b0000111001101: out = 1'b0;
        13'b0000111001110: out = 1'b0;
        13'b0000111001111: out = 1'b1;
        13'b0000111010000: out = 1'b1;
        13'b0000111010001: out = 1'b0;
        13'b0000111010010: out = 1'b0;
        13'b0000111010011: out = 1'b0;
        13'b0000111010100: out = 1'b0;
        13'b0000111010101: out = 1'b1;
        13'b0000111010110: out = 1'b1;
        13'b0000111010111: out = 1'b1;
        13'b0000111011000: out = 1'b0;
        13'b0000111011001: out = 1'b0;
        13'b0000111011010: out = 1'b0;
        13'b0000111011011: out = 1'b1;
        13'b0000111011100: out = 1'b1;
        13'b0000111011101: out = 1'b1;
        13'b0000111011110: out = 1'b0;
        13'b0000111011111: out = 1'b0;
        13'b0000111100000: out = 1'b0;
        13'b0000111100001: out = 1'b0;
        13'b0000111100010: out = 1'b0;
        13'b0000111100011: out = 1'b1;
        13'b0000111100100: out = 1'b1;
        13'b0000111100101: out = 1'b0;
        13'b0000111100110: out = 1'b0;
        13'b0000111100111: out = 1'b0;
        13'b0000111101000: out = 1'b0;
        13'b0000111101001: out = 1'b0;
        13'b0000111101010: out = 1'b1;
        13'b0000111101011: out = 1'b1;
        13'b0000111101100: out = 1'b0;
        13'b0000111101101: out = 1'b0;
        13'b0000111101110: out = 1'b1;
        13'b0000111101111: out = 1'b1;
        13'b0000111110000: out = 1'b0;
        13'b0000111110001: out = 1'b1;
        13'b0000111110010: out = 1'b1;
        13'b0000111110011: out = 1'b0;
        13'b0000111110100: out = 1'b0;
        13'b0000111110101: out = 1'b1;
        13'b0000111110110: out = 1'b1;
        13'b0000111110111: out = 1'b0;
        13'b0000111111000: out = 1'b1;
        13'b0000111111001: out = 1'b1;
        13'b0000111111010: out = 1'b0;
        13'b0000111111011: out = 1'b0;
        13'b0000111111100: out = 1'b1;
        13'b0000111111101: out = 1'b1;
        13'b0000111111110: out = 1'b0;
        13'b0000111111111: out = 1'b0;
        13'b0001000000000: out = 1'b1;
        13'b0001000000001: out = 1'b1;
        13'b0001000000010: out = 1'b0;
        13'b0001000000011: out = 1'b1;
        13'b0001000000100: out = 1'b1;
        13'b0001000000101: out = 1'b1;
        13'b0001000000110: out = 1'b1;
        13'b0001000000111: out = 1'b1;
        13'b0001000001000: out = 1'b1;
        13'b0001000001001: out = 1'b0;
        13'b0001000001010: out = 1'b1;
        13'b0001000001011: out = 1'b1;
        13'b0001000001100: out = 1'b1;
        13'b0001000001101: out = 1'b1;
        13'b0001000001110: out = 1'b1;
        13'b0001000001111: out = 1'b1;
        13'b0001000010000: out = 1'b0;
        13'b0001000010001: out = 1'b1;
        13'b0001000010010: out = 1'b1;
        13'b0001000010011: out = 1'b1;
        13'b0001000010100: out = 1'b1;
        13'b0001000010101: out = 1'b1;
        13'b0001000010110: out = 1'b1;
        13'b0001000010111: out = 1'b0;
        13'b0001000011000: out = 1'b1;
        13'b0001000011001: out = 1'b1;
        13'b0001000011010: out = 1'b0;
        13'b0001000011011: out = 1'b1;
        13'b0001000011100: out = 1'b1;
        13'b0001000011101: out = 1'b1;
        13'b0001000011110: out = 1'b1;
        13'b0001000011111: out = 1'b1;
        13'b0001000100000: out = 1'b1;
        13'b0001000100001: out = 1'b0;
        13'b0001000100010: out = 1'b1;
        13'b0001000100011: out = 1'b1;
        13'b0001000100100: out = 1'b0;
        13'b0001000100101: out = 1'b1;
        13'b0001000100110: out = 1'b1;
        13'b0001000100111: out = 1'b1;
        13'b0001000101000: out = 1'b1;
        13'b0001000101001: out = 1'b1;
        13'b0001000101010: out = 1'b1;
        13'b0001000101011: out = 1'b0;
        13'b0001000101100: out = 1'b1;
        13'b0001000101101: out = 1'b1;
        13'b0001000101110: out = 1'b1;
        13'b0001000101111: out = 1'b1;
        13'b0001000110000: out = 1'b1;
        13'b0001000110001: out = 1'b1;
        13'b0001000110010: out = 1'b0;
        13'b0001000110011: out = 1'b0;
        13'b0001000110100: out = 1'b0;
        13'b0001000110101: out = 1'b0;
        13'b0001000110110: out = 1'b0;
        13'b0001000110111: out = 1'b0;
        13'b0001000111000: out = 1'b0;
        13'b0001000111001: out = 1'b0;
        13'b0001000111010: out = 1'b0;
        13'b0001000111011: out = 1'b0;
        13'b0001000111100: out = 1'b0;
        13'b0001000111101: out = 1'b0;
        13'b0001000111110: out = 1'b0;
        13'b0001000111111: out = 1'b0;
        13'b0001001000000: out = 1'b0;
        13'b0001001000001: out = 1'b0;
        13'b0001001000010: out = 1'b0;
        13'b0001001000011: out = 1'b0;
        13'b0001001000100: out = 1'b0;
        13'b0001001000101: out = 1'b0;
        13'b0001001000110: out = 1'b0;
        13'b0001001000111: out = 1'b0;
        13'b0001001001000: out = 1'b0;
        13'b0001001001001: out = 1'b0;
        13'b0001001001010: out = 1'b0;
        13'b0001001001011: out = 1'b0;
        13'b0001001001100: out = 1'b0;
        13'b0001001001101: out = 1'b0;
        13'b0001001001110: out = 1'b1;
        13'b0001001001111: out = 1'b1;
        13'b0001001010000: out = 1'b1;
        13'b0001001010001: out = 1'b0;
        13'b0001001010010: out = 1'b0;
        13'b0001001010011: out = 1'b0;
        13'b0001001010100: out = 1'b0;
        13'b0001001010101: out = 1'b1;
        13'b0001001010110: out = 1'b1;
        13'b0001001010111: out = 1'b1;
        13'b0001001011000: out = 1'b0;
        13'b0001001011001: out = 1'b0;
        13'b0001001011010: out = 1'b0;
        13'b0001001011011: out = 1'b1;
        13'b0001001011100: out = 1'b1;
        13'b0001001011101: out = 1'b1;
        13'b0001001011110: out = 1'b0;
        13'b0001001011111: out = 1'b0;
        13'b0001001100000: out = 1'b0;
        13'b0001001100001: out = 1'b0;
        13'b0001001100010: out = 1'b0;
        13'b0001001100011: out = 1'b1;
        13'b0001001100100: out = 1'b1;
        13'b0001001100101: out = 1'b1;
        13'b0001001100110: out = 1'b0;
        13'b0001001100111: out = 1'b0;
        13'b0001001101000: out = 1'b0;
        13'b0001001101001: out = 1'b0;
        13'b0001001101010: out = 1'b1;
        13'b0001001101011: out = 1'b1;
        13'b0001001101100: out = 1'b1;
        13'b0001001101101: out = 1'b1;
        13'b0001001101110: out = 1'b1;
        13'b0001001101111: out = 1'b1;
        13'b0001001110000: out = 1'b0;
        13'b0001001110001: out = 1'b1;
        13'b0001001110010: out = 1'b1;
        13'b0001001110011: out = 1'b1;
        13'b0001001110100: out = 1'b1;
        13'b0001001110101: out = 1'b1;
        13'b0001001110110: out = 1'b1;
        13'b0001001110111: out = 1'b0;
        13'b0001001111000: out = 1'b1;
        13'b0001001111001: out = 1'b1;
        13'b0001001111010: out = 1'b1;
        13'b0001001111011: out = 1'b1;
        13'b0001001111100: out = 1'b1;
        13'b0001001111101: out = 1'b1;
        13'b0001001111110: out = 1'b1;
        13'b0001001111111: out = 1'b1;
        13'b0001010000000: out = 1'b1;
        13'b0001010000001: out = 1'b0;
        13'b0001010000010: out = 1'b0;
        13'b0001010000011: out = 1'b1;
        13'b0001010000100: out = 1'b1;
        13'b0001010000101: out = 1'b1;
        13'b0001010000110: out = 1'b1;
        13'b0001010000111: out = 1'b1;
        13'b0001010001000: out = 1'b0;
        13'b0001010001001: out = 1'b0;
        13'b0001010001010: out = 1'b1;
        13'b0001010001011: out = 1'b1;
        13'b0001010001100: out = 1'b1;
        13'b0001010001101: out = 1'b1;
        13'b0001010001110: out = 1'b1;
        13'b0001010001111: out = 1'b1;
        13'b0001010010000: out = 1'b0;
        13'b0001010010001: out = 1'b1;
        13'b0001010010010: out = 1'b1;
        13'b0001010010011: out = 1'b1;
        13'b0001010010100: out = 1'b1;
        13'b0001010010101: out = 1'b1;
        13'b0001010010110: out = 1'b1;
        13'b0001010010111: out = 1'b0;
        13'b0001010011000: out = 1'b1;
        13'b0001010011001: out = 1'b1;
        13'b0001010011010: out = 1'b0;
        13'b0001010011011: out = 1'b1;
        13'b0001010011100: out = 1'b1;
        13'b0001010011101: out = 1'b1;
        13'b0001010011110: out = 1'b1;
        13'b0001010011111: out = 1'b1;
        13'b0001010100000: out = 1'b1;
        13'b0001010100001: out = 1'b0;
        13'b0001010100010: out = 1'b1;
        13'b0001010100011: out = 1'b1;
        13'b0001010100100: out = 1'b0;
        13'b0001010100101: out = 1'b0;
        13'b0001010100110: out = 1'b1;
        13'b0001010100111: out = 1'b1;
        13'b0001010101000: out = 1'b1;
        13'b0001010101001: out = 1'b1;
        13'b0001010101010: out = 1'b0;
        13'b0001010101011: out = 1'b0;
        13'b0001010101100: out = 1'b1;
        13'b0001010101101: out = 1'b1;
        13'b0001010101110: out = 1'b1;
        13'b0001010101111: out = 1'b1;
        13'b0001010110000: out = 1'b1;
        13'b0001010110001: out = 1'b0;
        13'b0001010110010: out = 1'b0;
        13'b0001010110011: out = 1'b0;
        13'b0001010110100: out = 1'b0;
        13'b0001010110101: out = 1'b0;
        13'b0001010110110: out = 1'b0;
        13'b0001010110111: out = 1'b0;
        13'b0001010111000: out = 1'b0;
        13'b0001010111001: out = 1'b0;
        13'b0001010111010: out = 1'b0;
        13'b0001010111011: out = 1'b0;
        13'b0001010111100: out = 1'b0;
        13'b0001010111101: out = 1'b0;
        13'b0001010111110: out = 1'b0;
        13'b0001010111111: out = 1'b0;
        13'b0001011000000: out = 1'b0;
        13'b0001011000001: out = 1'b0;
        13'b0001011000010: out = 1'b0;
        13'b0001011000011: out = 1'b0;
        13'b0001011000100: out = 1'b0;
        13'b0001011000101: out = 1'b0;
        13'b0001011000110: out = 1'b0;
        13'b0001011000111: out = 1'b0;
        13'b0001011001000: out = 1'b0;
        13'b0001011001001: out = 1'b0;
        13'b0001011001010: out = 1'b0;
        13'b0001011001011: out = 1'b0;
        13'b0001011001100: out = 1'b0;
        13'b0001011001101: out = 1'b0;
        13'b0001011001110: out = 1'b1;
        13'b0001011001111: out = 1'b1;
        13'b0001011010000: out = 1'b0;
        13'b0001011010001: out = 1'b0;
        13'b0001011010010: out = 1'b0;
        13'b0001011010011: out = 1'b0;
        13'b0001011010100: out = 1'b0;
        13'b0001011010101: out = 1'b1;
        13'b0001011010110: out = 1'b1;
        13'b0001011010111: out = 1'b1;
        13'b0001011011000: out = 1'b0;
        13'b0001011011001: out = 1'b0;
        13'b0001011011010: out = 1'b0;
        13'b0001011011011: out = 1'b1;
        13'b0001011011100: out = 1'b1;
        13'b0001011011101: out = 1'b1;
        13'b0001011011110: out = 1'b0;
        13'b0001011011111: out = 1'b0;
        13'b0001011100000: out = 1'b0;
        13'b0001011100001: out = 1'b0;
        13'b0001011100010: out = 1'b0;
        13'b0001011100011: out = 1'b0;
        13'b0001011100100: out = 1'b1;
        13'b0001011100101: out = 1'b1;
        13'b0001011100110: out = 1'b0;
        13'b0001011100111: out = 1'b0;
        13'b0001011101000: out = 1'b0;
        13'b0001011101001: out = 1'b0;
        13'b0001011101010: out = 1'b0;
        13'b0001011101011: out = 1'b1;
        13'b0001011101100: out = 1'b1;
        13'b0001011101101: out = 1'b1;
        13'b0001011101110: out = 1'b1;
        13'b0001011101111: out = 1'b0;
        13'b0001011110000: out = 1'b0;
        13'b0001011110001: out = 1'b0;
        13'b0001011110010: out = 1'b1;
        13'b0001011110011: out = 1'b1;
        13'b0001011110100: out = 1'b1;
        13'b0001011110101: out = 1'b1;
        13'b0001011110110: out = 1'b0;
        13'b0001011110111: out = 1'b0;
        13'b0001011111000: out = 1'b0;
        13'b0001011111001: out = 1'b1;
        13'b0001011111010: out = 1'b1;
        13'b0001011111011: out = 1'b1;
        13'b0001011111100: out = 1'b1;
        13'b0001011111101: out = 1'b1;
        13'b0001011111110: out = 1'b1;
        13'b0001011111111: out = 1'b1;
        13'b0001100000000: out = 1'b0;
        13'b0001100000001: out = 1'b0;
        13'b0001100000010: out = 1'b0;
        13'b0001100000011: out = 1'b0;
        13'b0001100000100: out = 1'b0;
        13'b0001100000101: out = 1'b0;
        13'b0001100000110: out = 1'b0;
        13'b0001100000111: out = 1'b0;
        13'b0001100001000: out = 1'b0;
        13'b0001100001001: out = 1'b0;
        13'b0001100001010: out = 1'b0;
        13'b0001100001011: out = 1'b0;
        13'b0001100001100: out = 1'b0;
        13'b0001100001101: out = 1'b0;
        13'b0001100001110: out = 1'b0;
        13'b0001100001111: out = 1'b0;
        13'b0001100010000: out = 1'b0;
        13'b0001100010001: out = 1'b0;
        13'b0001100010010: out = 1'b0;
        13'b0001100010011: out = 1'b0;
        13'b0001100010100: out = 1'b0;
        13'b0001100010101: out = 1'b0;
        13'b0001100010110: out = 1'b0;
        13'b0001100010111: out = 1'b0;
        13'b0001100011000: out = 1'b0;
        13'b0001100011001: out = 1'b0;
        13'b0001100011010: out = 1'b0;
        13'b0001100011011: out = 1'b0;
        13'b0001100011100: out = 1'b0;
        13'b0001100011101: out = 1'b0;
        13'b0001100011110: out = 1'b0;
        13'b0001100011111: out = 1'b0;
        13'b0001100100000: out = 1'b0;
        13'b0001100100001: out = 1'b0;
        13'b0001100100010: out = 1'b0;
        13'b0001100100011: out = 1'b0;
        13'b0001100100100: out = 1'b0;
        13'b0001100100101: out = 1'b0;
        13'b0001100100110: out = 1'b0;
        13'b0001100100111: out = 1'b0;
        13'b0001100101000: out = 1'b0;
        13'b0001100101001: out = 1'b0;
        13'b0001100101010: out = 1'b0;
        13'b0001100101011: out = 1'b0;
        13'b0001100101100: out = 1'b0;
        13'b0001100101101: out = 1'b0;
        13'b0001100101110: out = 1'b0;
        13'b0001100101111: out = 1'b0;
        13'b0001100110000: out = 1'b0;
        13'b0001100110001: out = 1'b0;
        13'b0001100110010: out = 1'b0;
        13'b0001100110011: out = 1'b0;
        13'b0001100110100: out = 1'b0;
        13'b0001100110101: out = 1'b0;
        13'b0001100110110: out = 1'b0;
        13'b0001100110111: out = 1'b0;
        13'b0001100111000: out = 1'b0;
        13'b0001100111001: out = 1'b0;
        13'b0001100111010: out = 1'b0;
        13'b0001100111011: out = 1'b0;
        13'b0001100111100: out = 1'b0;
        13'b0001100111101: out = 1'b0;
        13'b0001100111110: out = 1'b0;
        13'b0001100111111: out = 1'b0;
        13'b0001101000000: out = 1'b0;
        13'b0001101000001: out = 1'b0;
        13'b0001101000010: out = 1'b0;
        13'b0001101000011: out = 1'b0;
        13'b0001101000100: out = 1'b0;
        13'b0001101000101: out = 1'b0;
        13'b0001101000110: out = 1'b0;
        13'b0001101000111: out = 1'b0;
        13'b0001101001000: out = 1'b0;
        13'b0001101001001: out = 1'b0;
        13'b0001101001010: out = 1'b0;
        13'b0001101001011: out = 1'b0;
        13'b0001101001100: out = 1'b0;
        13'b0001101001101: out = 1'b0;
        13'b0001101001110: out = 1'b1;
        13'b0001101001111: out = 1'b1;
        13'b0001101010000: out = 1'b0;
        13'b0001101010001: out = 1'b0;
        13'b0001101010010: out = 1'b0;
        13'b0001101010011: out = 1'b0;
        13'b0001101010100: out = 1'b0;
        13'b0001101010101: out = 1'b1;
        13'b0001101010110: out = 1'b1;
        13'b0001101010111: out = 1'b1;
        13'b0001101011000: out = 1'b1;
        13'b0001101011001: out = 1'b1;
        13'b0001101011010: out = 1'b1;
        13'b0001101011011: out = 1'b1;
        13'b0001101011100: out = 1'b1;
        13'b0001101011101: out = 1'b1;
        13'b0001101011110: out = 1'b1;
        13'b0001101011111: out = 1'b1;
        13'b0001101100000: out = 1'b1;
        13'b0001101100001: out = 1'b1;
        13'b0001101100010: out = 1'b0;
        13'b0001101100011: out = 1'b0;
        13'b0001101100100: out = 1'b1;
        13'b0001101100101: out = 1'b1;
        13'b0001101100110: out = 1'b0;
        13'b0001101100111: out = 1'b0;
        13'b0001101101000: out = 1'b0;
        13'b0001101101001: out = 1'b0;
        13'b0001101101010: out = 1'b0;
        13'b0001101101011: out = 1'b0;
        13'b0001101101100: out = 1'b0;
        13'b0001101101101: out = 1'b0;
        13'b0001101101110: out = 1'b0;
        13'b0001101101111: out = 1'b0;
        13'b0001101110000: out = 1'b0;
        13'b0001101110001: out = 1'b0;
        13'b0001101110010: out = 1'b0;
        13'b0001101110011: out = 1'b0;
        13'b0001101110100: out = 1'b0;
        13'b0001101110101: out = 1'b0;
        13'b0001101110110: out = 1'b0;
        13'b0001101110111: out = 1'b0;
        13'b0001101111000: out = 1'b0;
        13'b0001101111001: out = 1'b0;
        13'b0001101111010: out = 1'b0;
        13'b0001101111011: out = 1'b0;
        13'b0001101111100: out = 1'b0;
        13'b0001101111101: out = 1'b0;
        13'b0001101111110: out = 1'b0;
        13'b0001101111111: out = 1'b0;
        13'b0001110000000: out = 1'b0;
        13'b0001110000001: out = 1'b0;
        13'b0001110000010: out = 1'b0;
        13'b0001110000011: out = 1'b0;
        13'b0001110000100: out = 1'b0;
        13'b0001110000101: out = 1'b0;
        13'b0001110000110: out = 1'b0;
        13'b0001110000111: out = 1'b0;
        13'b0001110001000: out = 1'b0;
        13'b0001110001001: out = 1'b0;
        13'b0001110001010: out = 1'b0;
        13'b0001110001011: out = 1'b0;
        13'b0001110001100: out = 1'b0;
        13'b0001110001101: out = 1'b0;
        13'b0001110001110: out = 1'b0;
        13'b0001110001111: out = 1'b0;
        13'b0001110010000: out = 1'b0;
        13'b0001110010001: out = 1'b0;
        13'b0001110010010: out = 1'b0;
        13'b0001110010011: out = 1'b0;
        13'b0001110010100: out = 1'b0;
        13'b0001110010101: out = 1'b0;
        13'b0001110010110: out = 1'b0;
        13'b0001110010111: out = 1'b0;
        13'b0001110011000: out = 1'b0;
        13'b0001110011001: out = 1'b0;
        13'b0001110011010: out = 1'b0;
        13'b0001110011011: out = 1'b0;
        13'b0001110011100: out = 1'b0;
        13'b0001110011101: out = 1'b0;
        13'b0001110011110: out = 1'b0;
        13'b0001110011111: out = 1'b0;
        13'b0001110100000: out = 1'b0;
        13'b0001110100001: out = 1'b0;
        13'b0001110100010: out = 1'b0;
        13'b0001110100011: out = 1'b0;
        13'b0001110100100: out = 1'b0;
        13'b0001110100101: out = 1'b0;
        13'b0001110100110: out = 1'b0;
        13'b0001110100111: out = 1'b0;
        13'b0001110101000: out = 1'b0;
        13'b0001110101001: out = 1'b0;
        13'b0001110101010: out = 1'b0;
        13'b0001110101011: out = 1'b0;
        13'b0001110101100: out = 1'b0;
        13'b0001110101101: out = 1'b0;
        13'b0001110101110: out = 1'b0;
        13'b0001110101111: out = 1'b0;
        13'b0001110110000: out = 1'b0;
        13'b0001110110001: out = 1'b0;
        13'b0001110110010: out = 1'b0;
        13'b0001110110011: out = 1'b0;
        13'b0001110110100: out = 1'b0;
        13'b0001110110101: out = 1'b0;
        13'b0001110110110: out = 1'b0;
        13'b0001110110111: out = 1'b0;
        13'b0001110111000: out = 1'b0;
        13'b0001110111001: out = 1'b0;
        13'b0001110111010: out = 1'b0;
        13'b0001110111011: out = 1'b0;
        13'b0001110111100: out = 1'b0;
        13'b0001110111101: out = 1'b0;
        13'b0001110111110: out = 1'b0;
        13'b0001110111111: out = 1'b0;
        13'b0001111000000: out = 1'b0;
        13'b0001111000001: out = 1'b0;
        13'b0001111000010: out = 1'b0;
        13'b0001111000011: out = 1'b0;
        13'b0001111000100: out = 1'b0;
        13'b0001111000101: out = 1'b0;
        13'b0001111000110: out = 1'b0;
        13'b0001111000111: out = 1'b0;
        13'b0001111001000: out = 1'b0;
        13'b0001111001001: out = 1'b0;
        13'b0001111001010: out = 1'b0;
        13'b0001111001011: out = 1'b0;
        13'b0001111001100: out = 1'b0;
        13'b0001111001101: out = 1'b0;
        13'b0001111001110: out = 1'b1;
        13'b0001111001111: out = 1'b1;
        13'b0001111010000: out = 1'b0;
        13'b0001111010001: out = 1'b0;
        13'b0001111010010: out = 1'b0;
        13'b0001111010011: out = 1'b0;
        13'b0001111010100: out = 1'b0;
        13'b0001111010101: out = 1'b1;
        13'b0001111010110: out = 1'b1;
        13'b0001111010111: out = 1'b1;
        13'b0001111011000: out = 1'b1;
        13'b0001111011001: out = 1'b1;
        13'b0001111011010: out = 1'b1;
        13'b0001111011011: out = 1'b1;
        13'b0001111011100: out = 1'b1;
        13'b0001111011101: out = 1'b1;
        13'b0001111011110: out = 1'b1;
        13'b0001111011111: out = 1'b1;
        13'b0001111100000: out = 1'b1;
        13'b0001111100001: out = 1'b1;
        13'b0001111100010: out = 1'b0;
        13'b0001111100011: out = 1'b0;
        13'b0001111100100: out = 1'b1;
        13'b0001111100101: out = 1'b1;
        13'b0001111100110: out = 1'b0;
        13'b0001111100111: out = 1'b0;
        13'b0001111101000: out = 1'b0;
        13'b0001111101001: out = 1'b0;
        13'b0001111101010: out = 1'b0;
        13'b0001111101011: out = 1'b0;
        13'b0001111101100: out = 1'b0;
        13'b0001111101101: out = 1'b0;
        13'b0001111101110: out = 1'b0;
        13'b0001111101111: out = 1'b0;
        13'b0001111110000: out = 1'b0;
        13'b0001111110001: out = 1'b0;
        13'b0001111110010: out = 1'b0;
        13'b0001111110011: out = 1'b0;
        13'b0001111110100: out = 1'b0;
        13'b0001111110101: out = 1'b0;
        13'b0001111110110: out = 1'b0;
        13'b0001111110111: out = 1'b0;
        13'b0001111111000: out = 1'b0;
        13'b0001111111001: out = 1'b0;
        13'b0001111111010: out = 1'b0;
        13'b0001111111011: out = 1'b0;
        13'b0001111111100: out = 1'b0;
        13'b0001111111101: out = 1'b0;
        13'b0001111111110: out = 1'b0;
        13'b0001111111111: out = 1'b0;
        13'b0010000000000: out = 1'b0;
        13'b0010000000001: out = 1'b0;
        13'b0010000000010: out = 1'b0;
        13'b0010000000011: out = 1'b0;
        13'b0010000000100: out = 1'b0;
        13'b0010000000101: out = 1'b0;
        13'b0010000000110: out = 1'b0;
        13'b0010000000111: out = 1'b0;
        13'b0010000001000: out = 1'b0;
        13'b0010000001001: out = 1'b0;
        13'b0010000001010: out = 1'b0;
        13'b0010000001011: out = 1'b0;
        13'b0010000001100: out = 1'b0;
        13'b0010000001101: out = 1'b0;
        13'b0010000001110: out = 1'b0;
        13'b0010000001111: out = 1'b0;
        13'b0010000010000: out = 1'b0;
        13'b0010000010001: out = 1'b0;
        13'b0010000010010: out = 1'b0;
        13'b0010000010011: out = 1'b0;
        13'b0010000010100: out = 1'b0;
        13'b0010000010101: out = 1'b0;
        13'b0010000010110: out = 1'b0;
        13'b0010000010111: out = 1'b0;
        13'b0010000011000: out = 1'b0;
        13'b0010000011001: out = 1'b0;
        13'b0010000011010: out = 1'b0;
        13'b0010000011011: out = 1'b0;
        13'b0010000011100: out = 1'b0;
        13'b0010000011101: out = 1'b0;
        13'b0010000011110: out = 1'b0;
        13'b0010000011111: out = 1'b0;
        13'b0010000100000: out = 1'b0;
        13'b0010000100001: out = 1'b0;
        13'b0010000100010: out = 1'b0;
        13'b0010000100011: out = 1'b0;
        13'b0010000100100: out = 1'b0;
        13'b0010000100101: out = 1'b0;
        13'b0010000100110: out = 1'b0;
        13'b0010000100111: out = 1'b0;
        13'b0010000101000: out = 1'b0;
        13'b0010000101001: out = 1'b0;
        13'b0010000101010: out = 1'b0;
        13'b0010000101011: out = 1'b0;
        13'b0010000101100: out = 1'b0;
        13'b0010000101101: out = 1'b0;
        13'b0010000101110: out = 1'b0;
        13'b0010000101111: out = 1'b0;
        13'b0010000110000: out = 1'b0;
        13'b0010000110001: out = 1'b0;
        13'b0010000110010: out = 1'b0;
        13'b0010000110011: out = 1'b0;
        13'b0010000110100: out = 1'b0;
        13'b0010000110101: out = 1'b0;
        13'b0010000110110: out = 1'b0;
        13'b0010000110111: out = 1'b0;
        13'b0010000111000: out = 1'b0;
        13'b0010000111001: out = 1'b0;
        13'b0010000111010: out = 1'b0;
        13'b0010000111011: out = 1'b0;
        13'b0010000111100: out = 1'b0;
        13'b0010000111101: out = 1'b0;
        13'b0010000111110: out = 1'b0;
        13'b0010000111111: out = 1'b0;
        13'b0010001000000: out = 1'b0;
        13'b0010001000001: out = 1'b0;
        13'b0010001000010: out = 1'b0;
        13'b0010001000011: out = 1'b0;
        13'b0010001000100: out = 1'b0;
        13'b0010001000101: out = 1'b0;
        13'b0010001000110: out = 1'b0;
        13'b0010001000111: out = 1'b0;
        13'b0010001001000: out = 1'b0;
        13'b0010001001001: out = 1'b0;
        13'b0010001001010: out = 1'b0;
        13'b0010001001011: out = 1'b0;
        13'b0010001001100: out = 1'b0;
        13'b0010001001101: out = 1'b0;
        13'b0010001001110: out = 1'b1;
        13'b0010001001111: out = 1'b1;
        13'b0010001010000: out = 1'b0;
        13'b0010001010001: out = 1'b0;
        13'b0010001010010: out = 1'b0;
        13'b0010001010011: out = 1'b0;
        13'b0010001010100: out = 1'b0;
        13'b0010001010101: out = 1'b1;
        13'b0010001010110: out = 1'b1;
        13'b0010001010111: out = 1'b1;
        13'b0010001011000: out = 1'b1;
        13'b0010001011001: out = 1'b1;
        13'b0010001011010: out = 1'b1;
        13'b0010001011011: out = 1'b1;
        13'b0010001011100: out = 1'b1;
        13'b0010001011101: out = 1'b1;
        13'b0010001011110: out = 1'b1;
        13'b0010001011111: out = 1'b1;
        13'b0010001100000: out = 1'b1;
        13'b0010001100001: out = 1'b1;
        13'b0010001100010: out = 1'b0;
        13'b0010001100011: out = 1'b0;
        13'b0010001100100: out = 1'b1;
        13'b0010001100101: out = 1'b1;
        13'b0010001100110: out = 1'b0;
        13'b0010001100111: out = 1'b0;
        13'b0010001101000: out = 1'b0;
        13'b0010001101001: out = 1'b0;
        13'b0010001101010: out = 1'b0;
        13'b0010001101011: out = 1'b0;
        13'b0010001101100: out = 1'b0;
        13'b0010001101101: out = 1'b0;
        13'b0010001101110: out = 1'b0;
        13'b0010001101111: out = 1'b0;
        13'b0010001110000: out = 1'b0;
        13'b0010001110001: out = 1'b0;
        13'b0010001110010: out = 1'b0;
        13'b0010001110011: out = 1'b0;
        13'b0010001110100: out = 1'b0;
        13'b0010001110101: out = 1'b0;
        13'b0010001110110: out = 1'b0;
        13'b0010001110111: out = 1'b0;
        13'b0010001111000: out = 1'b0;
        13'b0010001111001: out = 1'b0;
        13'b0010001111010: out = 1'b0;
        13'b0010001111011: out = 1'b0;
        13'b0010001111100: out = 1'b0;
        13'b0010001111101: out = 1'b0;
        13'b0010001111110: out = 1'b0;
        13'b0010001111111: out = 1'b0;
        13'b0010010000000: out = 1'b0;
        13'b0010010000001: out = 1'b0;
        13'b0010010000010: out = 1'b0;
        13'b0010010000011: out = 1'b0;
        13'b0010010000100: out = 1'b0;
        13'b0010010000101: out = 1'b0;
        13'b0010010000110: out = 1'b0;
        13'b0010010000111: out = 1'b0;
        13'b0010010001000: out = 1'b0;
        13'b0010010001001: out = 1'b0;
        13'b0010010001010: out = 1'b0;
        13'b0010010001011: out = 1'b0;
        13'b0010010001100: out = 1'b0;
        13'b0010010001101: out = 1'b0;
        13'b0010010001110: out = 1'b0;
        13'b0010010001111: out = 1'b0;
        13'b0010010010000: out = 1'b0;
        13'b0010010010001: out = 1'b0;
        13'b0010010010010: out = 1'b0;
        13'b0010010010011: out = 1'b0;
        13'b0010010010100: out = 1'b0;
        13'b0010010010101: out = 1'b0;
        13'b0010010010110: out = 1'b0;
        13'b0010010010111: out = 1'b0;
        13'b0010010011000: out = 1'b0;
        13'b0010010011001: out = 1'b0;
        13'b0010010011010: out = 1'b0;
        13'b0010010011011: out = 1'b0;
        13'b0010010011100: out = 1'b0;
        13'b0010010011101: out = 1'b0;
        13'b0010010011110: out = 1'b0;
        13'b0010010011111: out = 1'b0;
        13'b0010010100000: out = 1'b0;
        13'b0010010100001: out = 1'b0;
        13'b0010010100010: out = 1'b0;
        13'b0010010100011: out = 1'b0;
        13'b0010010100100: out = 1'b0;
        13'b0010010100101: out = 1'b0;
        13'b0010010100110: out = 1'b0;
        13'b0010010100111: out = 1'b0;
        13'b0010010101000: out = 1'b0;
        13'b0010010101001: out = 1'b0;
        13'b0010010101010: out = 1'b0;
        13'b0010010101011: out = 1'b0;
        13'b0010010101100: out = 1'b0;
        13'b0010010101101: out = 1'b0;
        13'b0010010101110: out = 1'b0;
        13'b0010010101111: out = 1'b0;
        13'b0010010110000: out = 1'b0;
        13'b0010010110001: out = 1'b0;
        13'b0010010110010: out = 1'b0;
        13'b0010010110011: out = 1'b0;
        13'b0010010110100: out = 1'b0;
        13'b0010010110101: out = 1'b0;
        13'b0010010110110: out = 1'b0;
        13'b0010010110111: out = 1'b0;
        13'b0010010111000: out = 1'b0;
        13'b0010010111001: out = 1'b0;
        13'b0010010111010: out = 1'b0;
        13'b0010010111011: out = 1'b0;
        13'b0010010111100: out = 1'b0;
        13'b0010010111101: out = 1'b0;
        13'b0010010111110: out = 1'b0;
        13'b0010010111111: out = 1'b0;
        13'b0010011000000: out = 1'b0;
        13'b0010011000001: out = 1'b0;
        13'b0010011000010: out = 1'b0;
        13'b0010011000011: out = 1'b0;
        13'b0010011000100: out = 1'b0;
        13'b0010011000101: out = 1'b0;
        13'b0010011000110: out = 1'b0;
        13'b0010011000111: out = 1'b0;
        13'b0010011001000: out = 1'b0;
        13'b0010011001001: out = 1'b0;
        13'b0010011001010: out = 1'b0;
        13'b0010011001011: out = 1'b0;
        13'b0010011001100: out = 1'b0;
        13'b0010011001101: out = 1'b0;
        13'b0010011001110: out = 1'b1;
        13'b0010011001111: out = 1'b1;
        13'b0010011010000: out = 1'b0;
        13'b0010011010001: out = 1'b0;
        13'b0010011010010: out = 1'b0;
        13'b0010011010011: out = 1'b0;
        13'b0010011010100: out = 1'b0;
        13'b0010011010101: out = 1'b1;
        13'b0010011010110: out = 1'b1;
        13'b0010011010111: out = 1'b1;
        13'b0010011011000: out = 1'b0;
        13'b0010011011001: out = 1'b0;
        13'b0010011011010: out = 1'b0;
        13'b0010011011011: out = 1'b0;
        13'b0010011011100: out = 1'b0;
        13'b0010011011101: out = 1'b0;
        13'b0010011011110: out = 1'b0;
        13'b0010011011111: out = 1'b0;
        13'b0010011100000: out = 1'b0;
        13'b0010011100001: out = 1'b0;
        13'b0010011100010: out = 1'b0;
        13'b0010011100011: out = 1'b0;
        13'b0010011100100: out = 1'b1;
        13'b0010011100101: out = 1'b1;
        13'b0010011100110: out = 1'b0;
        13'b0010011100111: out = 1'b0;
        13'b0010011101000: out = 1'b0;
        13'b0010011101001: out = 1'b0;
        13'b0010011101010: out = 1'b0;
        13'b0010011101011: out = 1'b0;
        13'b0010011101100: out = 1'b0;
        13'b0010011101101: out = 1'b0;
        13'b0010011101110: out = 1'b0;
        13'b0010011101111: out = 1'b0;
        13'b0010011110000: out = 1'b0;
        13'b0010011110001: out = 1'b0;
        13'b0010011110010: out = 1'b0;
        13'b0010011110011: out = 1'b0;
        13'b0010011110100: out = 1'b0;
        13'b0010011110101: out = 1'b0;
        13'b0010011110110: out = 1'b0;
        13'b0010011110111: out = 1'b0;
        13'b0010011111000: out = 1'b0;
        13'b0010011111001: out = 1'b0;
        13'b0010011111010: out = 1'b0;
        13'b0010011111011: out = 1'b0;
        13'b0010011111100: out = 1'b0;
        13'b0010011111101: out = 1'b0;
        13'b0010011111110: out = 1'b0;
        13'b0010011111111: out = 1'b0;
        13'b0010100000000: out = 1'b1;
        13'b0010100000001: out = 1'b1;
        13'b0010100000010: out = 1'b0;
        13'b0010100000011: out = 1'b0;
        13'b0010100000100: out = 1'b1;
        13'b0010100000101: out = 1'b1;
        13'b0010100000110: out = 1'b1;
        13'b0010100000111: out = 1'b1;
        13'b0010100001000: out = 1'b0;
        13'b0010100001001: out = 1'b0;
        13'b0010100001010: out = 1'b1;
        13'b0010100001011: out = 1'b1;
        13'b0010100001100: out = 1'b1;
        13'b0010100001101: out = 1'b1;
        13'b0010100001110: out = 1'b1;
        13'b0010100001111: out = 1'b0;
        13'b0010100010000: out = 1'b0;
        13'b0010100010001: out = 1'b0;
        13'b0010100010010: out = 1'b1;
        13'b0010100010011: out = 1'b1;
        13'b0010100010100: out = 1'b1;
        13'b0010100010101: out = 1'b1;
        13'b0010100010110: out = 1'b0;
        13'b0010100010111: out = 1'b0;
        13'b0010100011000: out = 1'b1;
        13'b0010100011001: out = 1'b1;
        13'b0010100011010: out = 1'b1;
        13'b0010100011011: out = 1'b1;
        13'b0010100011100: out = 1'b1;
        13'b0010100011101: out = 1'b1;
        13'b0010100011110: out = 1'b0;
        13'b0010100011111: out = 1'b1;
        13'b0010100100000: out = 1'b1;
        13'b0010100100001: out = 1'b0;
        13'b0010100100010: out = 1'b0;
        13'b0010100100011: out = 1'b1;
        13'b0010100100100: out = 1'b1;
        13'b0010100100101: out = 1'b0;
        13'b0010100100110: out = 1'b1;
        13'b0010100100111: out = 1'b1;
        13'b0010100101000: out = 1'b1;
        13'b0010100101001: out = 1'b1;
        13'b0010100101010: out = 1'b1;
        13'b0010100101011: out = 1'b1;
        13'b0010100101100: out = 1'b0;
        13'b0010100101101: out = 1'b0;
        13'b0010100101110: out = 1'b0;
        13'b0010100101111: out = 1'b0;
        13'b0010100110000: out = 1'b0;
        13'b0010100110001: out = 1'b0;
        13'b0010100110010: out = 1'b0;
        13'b0010100110011: out = 1'b0;
        13'b0010100110100: out = 1'b0;
        13'b0010100110101: out = 1'b0;
        13'b0010100110110: out = 1'b0;
        13'b0010100110111: out = 1'b0;
        13'b0010100111000: out = 1'b0;
        13'b0010100111001: out = 1'b0;
        13'b0010100111010: out = 1'b0;
        13'b0010100111011: out = 1'b0;
        13'b0010100111100: out = 1'b0;
        13'b0010100111101: out = 1'b0;
        13'b0010100111110: out = 1'b0;
        13'b0010100111111: out = 1'b0;
        13'b0010101000000: out = 1'b0;
        13'b0010101000001: out = 1'b0;
        13'b0010101000010: out = 1'b0;
        13'b0010101000011: out = 1'b0;
        13'b0010101000100: out = 1'b0;
        13'b0010101000101: out = 1'b0;
        13'b0010101000110: out = 1'b0;
        13'b0010101000111: out = 1'b0;
        13'b0010101001000: out = 1'b0;
        13'b0010101001001: out = 1'b0;
        13'b0010101001010: out = 1'b0;
        13'b0010101001011: out = 1'b0;
        13'b0010101001100: out = 1'b0;
        13'b0010101001101: out = 1'b0;
        13'b0010101001110: out = 1'b1;
        13'b0010101001111: out = 1'b1;
        13'b0010101010000: out = 1'b0;
        13'b0010101010001: out = 1'b0;
        13'b0010101010010: out = 1'b0;
        13'b0010101010011: out = 1'b0;
        13'b0010101010100: out = 1'b0;
        13'b0010101010101: out = 1'b1;
        13'b0010101010110: out = 1'b1;
        13'b0010101010111: out = 1'b1;
        13'b0010101011000: out = 1'b0;
        13'b0010101011001: out = 1'b0;
        13'b0010101011010: out = 1'b0;
        13'b0010101011011: out = 1'b0;
        13'b0010101011100: out = 1'b0;
        13'b0010101011101: out = 1'b0;
        13'b0010101011110: out = 1'b0;
        13'b0010101011111: out = 1'b0;
        13'b0010101100000: out = 1'b0;
        13'b0010101100001: out = 1'b0;
        13'b0010101100010: out = 1'b0;
        13'b0010101100011: out = 1'b0;
        13'b0010101100100: out = 1'b1;
        13'b0010101100101: out = 1'b1;
        13'b0010101100110: out = 1'b0;
        13'b0010101100111: out = 1'b0;
        13'b0010101101000: out = 1'b0;
        13'b0010101101001: out = 1'b0;
        13'b0010101101010: out = 1'b1;
        13'b0010101101011: out = 1'b1;
        13'b0010101101100: out = 1'b1;
        13'b0010101101101: out = 1'b1;
        13'b0010101101110: out = 1'b1;
        13'b0010101101111: out = 1'b0;
        13'b0010101110000: out = 1'b0;
        13'b0010101110001: out = 1'b1;
        13'b0010101110010: out = 1'b1;
        13'b0010101110011: out = 1'b1;
        13'b0010101110100: out = 1'b1;
        13'b0010101110101: out = 1'b1;
        13'b0010101110110: out = 1'b1;
        13'b0010101110111: out = 1'b0;
        13'b0010101111000: out = 1'b1;
        13'b0010101111001: out = 1'b1;
        13'b0010101111010: out = 1'b0;
        13'b0010101111011: out = 1'b0;
        13'b0010101111100: out = 1'b1;
        13'b0010101111101: out = 1'b1;
        13'b0010101111110: out = 1'b0;
        13'b0010101111111: out = 1'b0;
        13'b0010110000000: out = 1'b1;
        13'b0010110000001: out = 1'b1;
        13'b0010110000010: out = 1'b0;
        13'b0010110000011: out = 1'b1;
        13'b0010110000100: out = 1'b1;
        13'b0010110000101: out = 1'b1;
        13'b0010110000110: out = 1'b1;
        13'b0010110000111: out = 1'b1;
        13'b0010110001000: out = 1'b1;
        13'b0010110001001: out = 1'b0;
        13'b0010110001010: out = 1'b1;
        13'b0010110001011: out = 1'b1;
        13'b0010110001100: out = 1'b1;
        13'b0010110001101: out = 1'b1;
        13'b0010110001110: out = 1'b1;
        13'b0010110001111: out = 1'b1;
        13'b0010110010000: out = 1'b0;
        13'b0010110010001: out = 1'b1;
        13'b0010110010010: out = 1'b1;
        13'b0010110010011: out = 1'b1;
        13'b0010110010100: out = 1'b1;
        13'b0010110010101: out = 1'b1;
        13'b0010110010110: out = 1'b1;
        13'b0010110010111: out = 1'b0;
        13'b0010110011000: out = 1'b1;
        13'b0010110011001: out = 1'b1;
        13'b0010110011010: out = 1'b1;
        13'b0010110011011: out = 1'b1;
        13'b0010110011100: out = 1'b1;
        13'b0010110011101: out = 1'b1;
        13'b0010110011110: out = 1'b0;
        13'b0010110011111: out = 1'b1;
        13'b0010110100000: out = 1'b1;
        13'b0010110100001: out = 1'b0;
        13'b0010110100010: out = 1'b0;
        13'b0010110100011: out = 1'b1;
        13'b0010110100100: out = 1'b1;
        13'b0010110100101: out = 1'b0;
        13'b0010110100110: out = 1'b1;
        13'b0010110100111: out = 1'b1;
        13'b0010110101000: out = 1'b1;
        13'b0010110101001: out = 1'b1;
        13'b0010110101010: out = 1'b1;
        13'b0010110101011: out = 1'b1;
        13'b0010110101100: out = 1'b0;
        13'b0010110101101: out = 1'b0;
        13'b0010110101110: out = 1'b0;
        13'b0010110101111: out = 1'b0;
        13'b0010110110000: out = 1'b0;
        13'b0010110110001: out = 1'b0;
        13'b0010110110010: out = 1'b0;
        13'b0010110110011: out = 1'b0;
        13'b0010110110100: out = 1'b0;
        13'b0010110110101: out = 1'b0;
        13'b0010110110110: out = 1'b0;
        13'b0010110110111: out = 1'b0;
        13'b0010110111000: out = 1'b0;
        13'b0010110111001: out = 1'b0;
        13'b0010110111010: out = 1'b0;
        13'b0010110111011: out = 1'b0;
        13'b0010110111100: out = 1'b0;
        13'b0010110111101: out = 1'b0;
        13'b0010110111110: out = 1'b0;
        13'b0010110111111: out = 1'b0;
        13'b0010111000000: out = 1'b0;
        13'b0010111000001: out = 1'b0;
        13'b0010111000010: out = 1'b0;
        13'b0010111000011: out = 1'b0;
        13'b0010111000100: out = 1'b0;
        13'b0010111000101: out = 1'b0;
        13'b0010111000110: out = 1'b0;
        13'b0010111000111: out = 1'b0;
        13'b0010111001000: out = 1'b0;
        13'b0010111001001: out = 1'b0;
        13'b0010111001010: out = 1'b0;
        13'b0010111001011: out = 1'b0;
        13'b0010111001100: out = 1'b0;
        13'b0010111001101: out = 1'b0;
        13'b0010111001110: out = 1'b0;
        13'b0010111001111: out = 1'b0;
        13'b0010111010000: out = 1'b0;
        13'b0010111010001: out = 1'b0;
        13'b0010111010010: out = 1'b0;
        13'b0010111010011: out = 1'b0;
        13'b0010111010100: out = 1'b0;
        13'b0010111010101: out = 1'b1;
        13'b0010111010110: out = 1'b1;
        13'b0010111010111: out = 1'b1;
        13'b0010111011000: out = 1'b0;
        13'b0010111011001: out = 1'b0;
        13'b0010111011010: out = 1'b0;
        13'b0010111011011: out = 1'b0;
        13'b0010111011100: out = 1'b0;
        13'b0010111011101: out = 1'b0;
        13'b0010111011110: out = 1'b0;
        13'b0010111011111: out = 1'b0;
        13'b0010111100000: out = 1'b0;
        13'b0010111100001: out = 1'b0;
        13'b0010111100010: out = 1'b0;
        13'b0010111100011: out = 1'b1;
        13'b0010111100100: out = 1'b1;
        13'b0010111100101: out = 1'b1;
        13'b0010111100110: out = 1'b0;
        13'b0010111100111: out = 1'b0;
        13'b0010111101000: out = 1'b0;
        13'b0010111101001: out = 1'b0;
        13'b0010111101010: out = 1'b1;
        13'b0010111101011: out = 1'b1;
        13'b0010111101100: out = 1'b1;
        13'b0010111101101: out = 1'b1;
        13'b0010111101110: out = 1'b1;
        13'b0010111101111: out = 1'b1;
        13'b0010111110000: out = 1'b0;
        13'b0010111110001: out = 1'b1;
        13'b0010111110010: out = 1'b1;
        13'b0010111110011: out = 1'b1;
        13'b0010111110100: out = 1'b1;
        13'b0010111110101: out = 1'b1;
        13'b0010111110110: out = 1'b1;
        13'b0010111110111: out = 1'b0;
        13'b0010111111000: out = 1'b1;
        13'b0010111111001: out = 1'b1;
        13'b0010111111010: out = 1'b0;
        13'b0010111111011: out = 1'b0;
        13'b0010111111100: out = 1'b1;
        13'b0010111111101: out = 1'b1;
        13'b0010111111110: out = 1'b0;
        13'b0010111111111: out = 1'b0;
        13'b0011000000000: out = 1'b1;
        13'b0011000000001: out = 1'b1;
        13'b0011000000010: out = 1'b0;
        13'b0011000000011: out = 1'b1;
        13'b0011000000100: out = 1'b1;
        13'b0011000000101: out = 1'b0;
        13'b0011000000110: out = 1'b0;
        13'b0011000000111: out = 1'b1;
        13'b0011000001000: out = 1'b1;
        13'b0011000001001: out = 1'b0;
        13'b0011000001010: out = 1'b0;
        13'b0011000001011: out = 1'b0;
        13'b0011000001100: out = 1'b0;
        13'b0011000001101: out = 1'b0;
        13'b0011000001110: out = 1'b1;
        13'b0011000001111: out = 1'b1;
        13'b0011000010000: out = 1'b0;
        13'b0011000010001: out = 1'b1;
        13'b0011000010010: out = 1'b1;
        13'b0011000010011: out = 1'b0;
        13'b0011000010100: out = 1'b0;
        13'b0011000010101: out = 1'b1;
        13'b0011000010110: out = 1'b1;
        13'b0011000010111: out = 1'b0;
        13'b0011000011000: out = 1'b1;
        13'b0011000011001: out = 1'b1;
        13'b0011000011010: out = 1'b0;
        13'b0011000011011: out = 1'b0;
        13'b0011000011100: out = 1'b0;
        13'b0011000011101: out = 1'b0;
        13'b0011000011110: out = 1'b0;
        13'b0011000011111: out = 1'b1;
        13'b0011000100000: out = 1'b1;
        13'b0011000100001: out = 1'b0;
        13'b0011000100010: out = 1'b0;
        13'b0011000100011: out = 1'b1;
        13'b0011000100100: out = 1'b1;
        13'b0011000100101: out = 1'b0;
        13'b0011000100110: out = 1'b1;
        13'b0011000100111: out = 1'b1;
        13'b0011000101000: out = 1'b0;
        13'b0011000101001: out = 1'b0;
        13'b0011000101010: out = 1'b0;
        13'b0011000101011: out = 1'b0;
        13'b0011000101100: out = 1'b0;
        13'b0011000101101: out = 1'b0;
        13'b0011000101110: out = 1'b0;
        13'b0011000101111: out = 1'b0;
        13'b0011000110000: out = 1'b0;
        13'b0011000110001: out = 1'b0;
        13'b0011000110010: out = 1'b0;
        13'b0011000110011: out = 1'b0;
        13'b0011000110100: out = 1'b0;
        13'b0011000110101: out = 1'b0;
        13'b0011000110110: out = 1'b0;
        13'b0011000110111: out = 1'b0;
        13'b0011000111000: out = 1'b0;
        13'b0011000111001: out = 1'b0;
        13'b0011000111010: out = 1'b0;
        13'b0011000111011: out = 1'b0;
        13'b0011000111100: out = 1'b0;
        13'b0011000111101: out = 1'b0;
        13'b0011000111110: out = 1'b0;
        13'b0011000111111: out = 1'b0;
        13'b0011001000000: out = 1'b0;
        13'b0011001000001: out = 1'b0;
        13'b0011001000010: out = 1'b0;
        13'b0011001000011: out = 1'b0;
        13'b0011001000100: out = 1'b0;
        13'b0011001000101: out = 1'b0;
        13'b0011001000110: out = 1'b0;
        13'b0011001000111: out = 1'b0;
        13'b0011001001000: out = 1'b0;
        13'b0011001001001: out = 1'b0;
        13'b0011001001010: out = 1'b0;
        13'b0011001001011: out = 1'b0;
        13'b0011001001100: out = 1'b0;
        13'b0011001001101: out = 1'b0;
        13'b0011001001110: out = 1'b0;
        13'b0011001001111: out = 1'b1;
        13'b0011001010000: out = 1'b1;
        13'b0011001010001: out = 1'b1;
        13'b0011001010010: out = 1'b1;
        13'b0011001010011: out = 1'b1;
        13'b0011001010100: out = 1'b1;
        13'b0011001010101: out = 1'b1;
        13'b0011001010110: out = 1'b1;
        13'b0011001010111: out = 1'b1;
        13'b0011001011000: out = 1'b1;
        13'b0011001011001: out = 1'b1;
        13'b0011001011010: out = 1'b1;
        13'b0011001011011: out = 1'b1;
        13'b0011001011100: out = 1'b0;
        13'b0011001011101: out = 1'b0;
        13'b0011001011110: out = 1'b0;
        13'b0011001011111: out = 1'b0;
        13'b0011001100000: out = 1'b0;
        13'b0011001100001: out = 1'b0;
        13'b0011001100010: out = 1'b0;
        13'b0011001100011: out = 1'b1;
        13'b0011001100100: out = 1'b1;
        13'b0011001100101: out = 1'b0;
        13'b0011001100110: out = 1'b0;
        13'b0011001100111: out = 1'b0;
        13'b0011001101000: out = 1'b0;
        13'b0011001101001: out = 1'b0;
        13'b0011001101010: out = 1'b1;
        13'b0011001101011: out = 1'b1;
        13'b0011001101100: out = 1'b0;
        13'b0011001101101: out = 1'b0;
        13'b0011001101110: out = 1'b1;
        13'b0011001101111: out = 1'b1;
        13'b0011001110000: out = 1'b0;
        13'b0011001110001: out = 1'b1;
        13'b0011001110010: out = 1'b1;
        13'b0011001110011: out = 1'b0;
        13'b0011001110100: out = 1'b0;
        13'b0011001110101: out = 1'b0;
        13'b0011001110110: out = 1'b0;
        13'b0011001110111: out = 1'b0;
        13'b0011001111000: out = 1'b1;
        13'b0011001111001: out = 1'b1;
        13'b0011001111010: out = 1'b0;
        13'b0011001111011: out = 1'b0;
        13'b0011001111100: out = 1'b1;
        13'b0011001111101: out = 1'b1;
        13'b0011001111110: out = 1'b0;
        13'b0011001111111: out = 1'b0;
        13'b0011010000000: out = 1'b1;
        13'b0011010000001: out = 1'b1;
        13'b0011010000010: out = 1'b0;
        13'b0011010000011: out = 1'b1;
        13'b0011010000100: out = 1'b1;
        13'b0011010000101: out = 1'b0;
        13'b0011010000110: out = 1'b0;
        13'b0011010000111: out = 1'b1;
        13'b0011010001000: out = 1'b1;
        13'b0011010001001: out = 1'b0;
        13'b0011010001010: out = 1'b0;
        13'b0011010001011: out = 1'b0;
        13'b0011010001100: out = 1'b0;
        13'b0011010001101: out = 1'b0;
        13'b0011010001110: out = 1'b1;
        13'b0011010001111: out = 1'b1;
        13'b0011010010000: out = 1'b0;
        13'b0011010010001: out = 1'b1;
        13'b0011010010010: out = 1'b1;
        13'b0011010010011: out = 1'b0;
        13'b0011010010100: out = 1'b0;
        13'b0011010010101: out = 1'b1;
        13'b0011010010110: out = 1'b1;
        13'b0011010010111: out = 1'b0;
        13'b0011010011000: out = 1'b1;
        13'b0011010011001: out = 1'b1;
        13'b0011010011010: out = 1'b0;
        13'b0011010011011: out = 1'b0;
        13'b0011010011100: out = 1'b0;
        13'b0011010011101: out = 1'b0;
        13'b0011010011110: out = 1'b0;
        13'b0011010011111: out = 1'b1;
        13'b0011010100000: out = 1'b1;
        13'b0011010100001: out = 1'b0;
        13'b0011010100010: out = 1'b0;
        13'b0011010100011: out = 1'b1;
        13'b0011010100100: out = 1'b1;
        13'b0011010100101: out = 1'b0;
        13'b0011010100110: out = 1'b1;
        13'b0011010100111: out = 1'b1;
        13'b0011010101000: out = 1'b0;
        13'b0011010101001: out = 1'b0;
        13'b0011010101010: out = 1'b0;
        13'b0011010101011: out = 1'b0;
        13'b0011010101100: out = 1'b0;
        13'b0011010101101: out = 1'b0;
        13'b0011010101110: out = 1'b0;
        13'b0011010101111: out = 1'b0;
        13'b0011010110000: out = 1'b0;
        13'b0011010110001: out = 1'b0;
        13'b0011010110010: out = 1'b0;
        13'b0011010110011: out = 1'b0;
        13'b0011010110100: out = 1'b0;
        13'b0011010110101: out = 1'b0;
        13'b0011010110110: out = 1'b0;
        13'b0011010110111: out = 1'b0;
        13'b0011010111000: out = 1'b0;
        13'b0011010111001: out = 1'b0;
        13'b0011010111010: out = 1'b0;
        13'b0011010111011: out = 1'b0;
        13'b0011010111100: out = 1'b0;
        13'b0011010111101: out = 1'b0;
        13'b0011010111110: out = 1'b0;
        13'b0011010111111: out = 1'b0;
        13'b0011011000000: out = 1'b0;
        13'b0011011000001: out = 1'b0;
        13'b0011011000010: out = 1'b0;
        13'b0011011000011: out = 1'b0;
        13'b0011011000100: out = 1'b0;
        13'b0011011000101: out = 1'b0;
        13'b0011011000110: out = 1'b0;
        13'b0011011000111: out = 1'b0;
        13'b0011011001000: out = 1'b0;
        13'b0011011001001: out = 1'b0;
        13'b0011011001010: out = 1'b0;
        13'b0011011001011: out = 1'b0;
        13'b0011011001100: out = 1'b0;
        13'b0011011001101: out = 1'b0;
        13'b0011011001110: out = 1'b0;
        13'b0011011001111: out = 1'b1;
        13'b0011011010000: out = 1'b1;
        13'b0011011010001: out = 1'b1;
        13'b0011011010010: out = 1'b1;
        13'b0011011010011: out = 1'b1;
        13'b0011011010100: out = 1'b1;
        13'b0011011010101: out = 1'b1;
        13'b0011011010110: out = 1'b1;
        13'b0011011010111: out = 1'b1;
        13'b0011011011000: out = 1'b1;
        13'b0011011011001: out = 1'b1;
        13'b0011011011010: out = 1'b1;
        13'b0011011011011: out = 1'b1;
        13'b0011011011100: out = 1'b0;
        13'b0011011011101: out = 1'b0;
        13'b0011011011110: out = 1'b0;
        13'b0011011011111: out = 1'b0;
        13'b0011011100000: out = 1'b0;
        13'b0011011100001: out = 1'b0;
        13'b0011011100010: out = 1'b1;
        13'b0011011100011: out = 1'b1;
        13'b0011011100100: out = 1'b1;
        13'b0011011100101: out = 1'b0;
        13'b0011011100110: out = 1'b0;
        13'b0011011100111: out = 1'b0;
        13'b0011011101000: out = 1'b0;
        13'b0011011101001: out = 1'b0;
        13'b0011011101010: out = 1'b1;
        13'b0011011101011: out = 1'b1;
        13'b0011011101100: out = 1'b0;
        13'b0011011101101: out = 1'b0;
        13'b0011011101110: out = 1'b1;
        13'b0011011101111: out = 1'b1;
        13'b0011011110000: out = 1'b0;
        13'b0011011110001: out = 1'b1;
        13'b0011011110010: out = 1'b1;
        13'b0011011110011: out = 1'b0;
        13'b0011011110100: out = 1'b0;
        13'b0011011110101: out = 1'b0;
        13'b0011011110110: out = 1'b0;
        13'b0011011110111: out = 1'b0;
        13'b0011011111000: out = 1'b1;
        13'b0011011111001: out = 1'b1;
        13'b0011011111010: out = 1'b0;
        13'b0011011111011: out = 1'b0;
        13'b0011011111100: out = 1'b1;
        13'b0011011111101: out = 1'b1;
        13'b0011011111110: out = 1'b0;
        13'b0011011111111: out = 1'b0;
        13'b0011100000000: out = 1'b1;
        13'b0011100000001: out = 1'b1;
        13'b0011100000010: out = 1'b0;
        13'b0011100000011: out = 1'b1;
        13'b0011100000100: out = 1'b1;
        13'b0011100000101: out = 1'b0;
        13'b0011100000110: out = 1'b0;
        13'b0011100000111: out = 1'b1;
        13'b0011100001000: out = 1'b1;
        13'b0011100001001: out = 1'b0;
        13'b0011100001010: out = 1'b0;
        13'b0011100001011: out = 1'b1;
        13'b0011100001100: out = 1'b1;
        13'b0011100001101: out = 1'b1;
        13'b0011100001110: out = 1'b1;
        13'b0011100001111: out = 1'b1;
        13'b0011100010000: out = 1'b0;
        13'b0011100010001: out = 1'b1;
        13'b0011100010010: out = 1'b1;
        13'b0011100010011: out = 1'b0;
        13'b0011100010100: out = 1'b0;
        13'b0011100010101: out = 1'b0;
        13'b0011100010110: out = 1'b0;
        13'b0011100010111: out = 1'b0;
        13'b0011100011000: out = 1'b1;
        13'b0011100011001: out = 1'b1;
        13'b0011100011010: out = 1'b1;
        13'b0011100011011: out = 1'b1;
        13'b0011100011100: out = 1'b1;
        13'b0011100011101: out = 1'b0;
        13'b0011100011110: out = 1'b0;
        13'b0011100011111: out = 1'b1;
        13'b0011100100000: out = 1'b1;
        13'b0011100100001: out = 1'b0;
        13'b0011100100010: out = 1'b0;
        13'b0011100100011: out = 1'b1;
        13'b0011100100100: out = 1'b1;
        13'b0011100100101: out = 1'b0;
        13'b0011100100110: out = 1'b1;
        13'b0011100100111: out = 1'b1;
        13'b0011100101000: out = 1'b1;
        13'b0011100101001: out = 1'b1;
        13'b0011100101010: out = 1'b1;
        13'b0011100101011: out = 1'b0;
        13'b0011100101100: out = 1'b0;
        13'b0011100101101: out = 1'b0;
        13'b0011100101110: out = 1'b0;
        13'b0011100101111: out = 1'b0;
        13'b0011100110000: out = 1'b0;
        13'b0011100110001: out = 1'b0;
        13'b0011100110010: out = 1'b0;
        13'b0011100110011: out = 1'b0;
        13'b0011100110100: out = 1'b0;
        13'b0011100110101: out = 1'b0;
        13'b0011100110110: out = 1'b0;
        13'b0011100110111: out = 1'b0;
        13'b0011100111000: out = 1'b0;
        13'b0011100111001: out = 1'b0;
        13'b0011100111010: out = 1'b0;
        13'b0011100111011: out = 1'b0;
        13'b0011100111100: out = 1'b0;
        13'b0011100111101: out = 1'b0;
        13'b0011100111110: out = 1'b0;
        13'b0011100111111: out = 1'b0;
        13'b0011101000000: out = 1'b0;
        13'b0011101000001: out = 1'b0;
        13'b0011101000010: out = 1'b0;
        13'b0011101000011: out = 1'b0;
        13'b0011101000100: out = 1'b0;
        13'b0011101000101: out = 1'b0;
        13'b0011101000110: out = 1'b0;
        13'b0011101000111: out = 1'b0;
        13'b0011101001000: out = 1'b0;
        13'b0011101001001: out = 1'b0;
        13'b0011101001010: out = 1'b0;
        13'b0011101001011: out = 1'b0;
        13'b0011101001100: out = 1'b0;
        13'b0011101001101: out = 1'b0;
        13'b0011101001110: out = 1'b0;
        13'b0011101001111: out = 1'b0;
        13'b0011101010000: out = 1'b1;
        13'b0011101010001: out = 1'b1;
        13'b0011101010010: out = 1'b1;
        13'b0011101010011: out = 1'b1;
        13'b0011101010100: out = 1'b1;
        13'b0011101010101: out = 1'b1;
        13'b0011101010110: out = 1'b1;
        13'b0011101010111: out = 1'b1;
        13'b0011101011000: out = 1'b1;
        13'b0011101011001: out = 1'b1;
        13'b0011101011010: out = 1'b1;
        13'b0011101011011: out = 1'b1;
        13'b0011101011100: out = 1'b0;
        13'b0011101011101: out = 1'b0;
        13'b0011101011110: out = 1'b0;
        13'b0011101011111: out = 1'b0;
        13'b0011101100000: out = 1'b0;
        13'b0011101100001: out = 1'b0;
        13'b0011101100010: out = 1'b1;
        13'b0011101100011: out = 1'b1;
        13'b0011101100100: out = 1'b0;
        13'b0011101100101: out = 1'b0;
        13'b0011101100110: out = 1'b0;
        13'b0011101100111: out = 1'b0;
        13'b0011101101000: out = 1'b0;
        13'b0011101101001: out = 1'b0;
        13'b0011101101010: out = 1'b1;
        13'b0011101101011: out = 1'b1;
        13'b0011101101100: out = 1'b0;
        13'b0011101101101: out = 1'b0;
        13'b0011101101110: out = 1'b1;
        13'b0011101101111: out = 1'b1;
        13'b0011101110000: out = 1'b0;
        13'b0011101110001: out = 1'b1;
        13'b0011101110010: out = 1'b1;
        13'b0011101110011: out = 1'b1;
        13'b0011101110100: out = 1'b1;
        13'b0011101110101: out = 1'b1;
        13'b0011101110110: out = 1'b0;
        13'b0011101110111: out = 1'b0;
        13'b0011101111000: out = 1'b1;
        13'b0011101111001: out = 1'b1;
        13'b0011101111010: out = 1'b0;
        13'b0011101111011: out = 1'b0;
        13'b0011101111100: out = 1'b1;
        13'b0011101111101: out = 1'b1;
        13'b0011101111110: out = 1'b0;
        13'b0011101111111: out = 1'b0;
        13'b0011110000000: out = 1'b1;
        13'b0011110000001: out = 1'b1;
        13'b0011110000010: out = 1'b0;
        13'b0011110000011: out = 1'b1;
        13'b0011110000100: out = 1'b1;
        13'b0011110000101: out = 1'b0;
        13'b0011110000110: out = 1'b0;
        13'b0011110000111: out = 1'b1;
        13'b0011110001000: out = 1'b1;
        13'b0011110001001: out = 1'b0;
        13'b0011110001010: out = 1'b1;
        13'b0011110001011: out = 1'b1;
        13'b0011110001100: out = 1'b1;
        13'b0011110001101: out = 1'b1;
        13'b0011110001110: out = 1'b1;
        13'b0011110001111: out = 1'b0;
        13'b0011110010000: out = 1'b0;
        13'b0011110010001: out = 1'b1;
        13'b0011110010010: out = 1'b1;
        13'b0011110010011: out = 1'b0;
        13'b0011110010100: out = 1'b0;
        13'b0011110010101: out = 1'b0;
        13'b0011110010110: out = 1'b0;
        13'b0011110010111: out = 1'b0;
        13'b0011110011000: out = 1'b1;
        13'b0011110011001: out = 1'b1;
        13'b0011110011010: out = 1'b1;
        13'b0011110011011: out = 1'b1;
        13'b0011110011100: out = 1'b1;
        13'b0011110011101: out = 1'b0;
        13'b0011110011110: out = 1'b0;
        13'b0011110011111: out = 1'b1;
        13'b0011110100000: out = 1'b1;
        13'b0011110100001: out = 1'b0;
        13'b0011110100010: out = 1'b0;
        13'b0011110100011: out = 1'b1;
        13'b0011110100100: out = 1'b1;
        13'b0011110100101: out = 1'b0;
        13'b0011110100110: out = 1'b1;
        13'b0011110100111: out = 1'b1;
        13'b0011110101000: out = 1'b1;
        13'b0011110101001: out = 1'b1;
        13'b0011110101010: out = 1'b1;
        13'b0011110101011: out = 1'b0;
        13'b0011110101100: out = 1'b0;
        13'b0011110101101: out = 1'b0;
        13'b0011110101110: out = 1'b0;
        13'b0011110101111: out = 1'b0;
        13'b0011110110000: out = 1'b0;
        13'b0011110110001: out = 1'b0;
        13'b0011110110010: out = 1'b0;
        13'b0011110110011: out = 1'b0;
        13'b0011110110100: out = 1'b0;
        13'b0011110110101: out = 1'b0;
        13'b0011110110110: out = 1'b0;
        13'b0011110110111: out = 1'b0;
        13'b0011110111000: out = 1'b0;
        13'b0011110111001: out = 1'b0;
        13'b0011110111010: out = 1'b0;
        13'b0011110111011: out = 1'b0;
        13'b0011110111100: out = 1'b0;
        13'b0011110111101: out = 1'b0;
        13'b0011110111110: out = 1'b0;
        13'b0011110111111: out = 1'b0;
        13'b0011111000000: out = 1'b0;
        13'b0011111000001: out = 1'b0;
        13'b0011111000010: out = 1'b0;
        13'b0011111000011: out = 1'b0;
        13'b0011111000100: out = 1'b0;
        13'b0011111000101: out = 1'b0;
        13'b0011111000110: out = 1'b0;
        13'b0011111000111: out = 1'b0;
        13'b0011111001000: out = 1'b0;
        13'b0011111001001: out = 1'b0;
        13'b0011111001010: out = 1'b0;
        13'b0011111001011: out = 1'b0;
        13'b0011111001100: out = 1'b0;
        13'b0011111001101: out = 1'b0;
        13'b0011111001110: out = 1'b0;
        13'b0011111001111: out = 1'b0;
        13'b0011111010000: out = 1'b1;
        13'b0011111010001: out = 1'b1;
        13'b0011111010010: out = 1'b1;
        13'b0011111010011: out = 1'b0;
        13'b0011111010100: out = 1'b0;
        13'b0011111010101: out = 1'b0;
        13'b0011111010110: out = 1'b0;
        13'b0011111010111: out = 1'b0;
        13'b0011111011000: out = 1'b0;
        13'b0011111011001: out = 1'b0;
        13'b0011111011010: out = 1'b0;
        13'b0011111011011: out = 1'b0;
        13'b0011111011100: out = 1'b0;
        13'b0011111011101: out = 1'b0;
        13'b0011111011110: out = 1'b0;
        13'b0011111011111: out = 1'b0;
        13'b0011111100000: out = 1'b0;
        13'b0011111100001: out = 1'b1;
        13'b0011111100010: out = 1'b1;
        13'b0011111100011: out = 1'b1;
        13'b0011111100100: out = 1'b0;
        13'b0011111100101: out = 1'b0;
        13'b0011111100110: out = 1'b0;
        13'b0011111100111: out = 1'b0;
        13'b0011111101000: out = 1'b0;
        13'b0011111101001: out = 1'b0;
        13'b0011111101010: out = 1'b1;
        13'b0011111101011: out = 1'b1;
        13'b0011111101100: out = 1'b0;
        13'b0011111101101: out = 1'b0;
        13'b0011111101110: out = 1'b1;
        13'b0011111101111: out = 1'b1;
        13'b0011111110000: out = 1'b0;
        13'b0011111110001: out = 1'b1;
        13'b0011111110010: out = 1'b1;
        13'b0011111110011: out = 1'b1;
        13'b0011111110100: out = 1'b1;
        13'b0011111110101: out = 1'b1;
        13'b0011111110110: out = 1'b0;
        13'b0011111110111: out = 1'b0;
        13'b0011111111000: out = 1'b1;
        13'b0011111111001: out = 1'b1;
        13'b0011111111010: out = 1'b0;
        13'b0011111111011: out = 1'b0;
        13'b0011111111100: out = 1'b1;
        13'b0011111111101: out = 1'b1;
        13'b0011111111110: out = 1'b0;
        13'b0011111111111: out = 1'b0;
        13'b0100000000000: out = 1'b1;
        13'b0100000000001: out = 1'b1;
        13'b0100000000010: out = 1'b0;
        13'b0100000000011: out = 1'b1;
        13'b0100000000100: out = 1'b1;
        13'b0100000000101: out = 1'b0;
        13'b0100000000110: out = 1'b0;
        13'b0100000000111: out = 1'b1;
        13'b0100000001000: out = 1'b1;
        13'b0100000001001: out = 1'b0;
        13'b0100000001010: out = 1'b1;
        13'b0100000001011: out = 1'b1;
        13'b0100000001100: out = 1'b0;
        13'b0100000001101: out = 1'b0;
        13'b0100000001110: out = 1'b0;
        13'b0100000001111: out = 1'b0;
        13'b0100000010000: out = 1'b0;
        13'b0100000010001: out = 1'b1;
        13'b0100000010010: out = 1'b1;
        13'b0100000010011: out = 1'b0;
        13'b0100000010100: out = 1'b0;
        13'b0100000010101: out = 1'b1;
        13'b0100000010110: out = 1'b1;
        13'b0100000010111: out = 1'b0;
        13'b0100000011000: out = 1'b1;
        13'b0100000011001: out = 1'b1;
        13'b0100000011010: out = 1'b0;
        13'b0100000011011: out = 1'b0;
        13'b0100000011100: out = 1'b0;
        13'b0100000011101: out = 1'b0;
        13'b0100000011110: out = 1'b0;
        13'b0100000011111: out = 1'b1;
        13'b0100000100000: out = 1'b1;
        13'b0100000100001: out = 1'b0;
        13'b0100000100010: out = 1'b0;
        13'b0100000100011: out = 1'b1;
        13'b0100000100100: out = 1'b1;
        13'b0100000100101: out = 1'b0;
        13'b0100000100110: out = 1'b1;
        13'b0100000100111: out = 1'b1;
        13'b0100000101000: out = 1'b0;
        13'b0100000101001: out = 1'b0;
        13'b0100000101010: out = 1'b0;
        13'b0100000101011: out = 1'b0;
        13'b0100000101100: out = 1'b0;
        13'b0100000101101: out = 1'b0;
        13'b0100000101110: out = 1'b0;
        13'b0100000101111: out = 1'b0;
        13'b0100000110000: out = 1'b0;
        13'b0100000110001: out = 1'b0;
        13'b0100000110010: out = 1'b0;
        13'b0100000110011: out = 1'b0;
        13'b0100000110100: out = 1'b0;
        13'b0100000110101: out = 1'b0;
        13'b0100000110110: out = 1'b0;
        13'b0100000110111: out = 1'b0;
        13'b0100000111000: out = 1'b0;
        13'b0100000111001: out = 1'b0;
        13'b0100000111010: out = 1'b0;
        13'b0100000111011: out = 1'b0;
        13'b0100000111100: out = 1'b0;
        13'b0100000111101: out = 1'b0;
        13'b0100000111110: out = 1'b0;
        13'b0100000111111: out = 1'b0;
        13'b0100001000000: out = 1'b0;
        13'b0100001000001: out = 1'b0;
        13'b0100001000010: out = 1'b0;
        13'b0100001000011: out = 1'b0;
        13'b0100001000100: out = 1'b0;
        13'b0100001000101: out = 1'b0;
        13'b0100001000110: out = 1'b0;
        13'b0100001000111: out = 1'b0;
        13'b0100001001000: out = 1'b0;
        13'b0100001001001: out = 1'b0;
        13'b0100001001010: out = 1'b0;
        13'b0100001001011: out = 1'b0;
        13'b0100001001100: out = 1'b0;
        13'b0100001001101: out = 1'b0;
        13'b0100001001110: out = 1'b0;
        13'b0100001001111: out = 1'b0;
        13'b0100001010000: out = 1'b0;
        13'b0100001010001: out = 1'b1;
        13'b0100001010010: out = 1'b1;
        13'b0100001010011: out = 1'b1;
        13'b0100001010100: out = 1'b1;
        13'b0100001010101: out = 1'b0;
        13'b0100001010110: out = 1'b0;
        13'b0100001010111: out = 1'b0;
        13'b0100001011000: out = 1'b0;
        13'b0100001011001: out = 1'b0;
        13'b0100001011010: out = 1'b0;
        13'b0100001011011: out = 1'b0;
        13'b0100001011100: out = 1'b0;
        13'b0100001011101: out = 1'b0;
        13'b0100001011110: out = 1'b0;
        13'b0100001011111: out = 1'b1;
        13'b0100001100000: out = 1'b1;
        13'b0100001100001: out = 1'b1;
        13'b0100001100010: out = 1'b1;
        13'b0100001100011: out = 1'b0;
        13'b0100001100100: out = 1'b0;
        13'b0100001100101: out = 1'b0;
        13'b0100001100110: out = 1'b0;
        13'b0100001100111: out = 1'b0;
        13'b0100001101000: out = 1'b0;
        13'b0100001101001: out = 1'b0;
        13'b0100001101010: out = 1'b1;
        13'b0100001101011: out = 1'b1;
        13'b0100001101100: out = 1'b0;
        13'b0100001101101: out = 1'b0;
        13'b0100001101110: out = 1'b1;
        13'b0100001101111: out = 1'b1;
        13'b0100001110000: out = 1'b0;
        13'b0100001110001: out = 1'b1;
        13'b0100001110010: out = 1'b1;
        13'b0100001110011: out = 1'b0;
        13'b0100001110100: out = 1'b0;
        13'b0100001110101: out = 1'b0;
        13'b0100001110110: out = 1'b0;
        13'b0100001110111: out = 1'b0;
        13'b0100001111000: out = 1'b1;
        13'b0100001111001: out = 1'b1;
        13'b0100001111010: out = 1'b0;
        13'b0100001111011: out = 1'b0;
        13'b0100001111100: out = 1'b1;
        13'b0100001111101: out = 1'b1;
        13'b0100001111110: out = 1'b0;
        13'b0100001111111: out = 1'b0;
        13'b0100010000000: out = 1'b1;
        13'b0100010000001: out = 1'b1;
        13'b0100010000010: out = 1'b0;
        13'b0100010000011: out = 1'b1;
        13'b0100010000100: out = 1'b1;
        13'b0100010000101: out = 1'b0;
        13'b0100010000110: out = 1'b0;
        13'b0100010000111: out = 1'b1;
        13'b0100010001000: out = 1'b1;
        13'b0100010001001: out = 1'b0;
        13'b0100010001010: out = 1'b1;
        13'b0100010001011: out = 1'b1;
        13'b0100010001100: out = 1'b0;
        13'b0100010001101: out = 1'b0;
        13'b0100010001110: out = 1'b0;
        13'b0100010001111: out = 1'b0;
        13'b0100010010000: out = 1'b0;
        13'b0100010010001: out = 1'b1;
        13'b0100010010010: out = 1'b1;
        13'b0100010010011: out = 1'b0;
        13'b0100010010100: out = 1'b0;
        13'b0100010010101: out = 1'b1;
        13'b0100010010110: out = 1'b1;
        13'b0100010010111: out = 1'b0;
        13'b0100010011000: out = 1'b1;
        13'b0100010011001: out = 1'b1;
        13'b0100010011010: out = 1'b0;
        13'b0100010011011: out = 1'b0;
        13'b0100010011100: out = 1'b0;
        13'b0100010011101: out = 1'b0;
        13'b0100010011110: out = 1'b0;
        13'b0100010011111: out = 1'b1;
        13'b0100010100000: out = 1'b1;
        13'b0100010100001: out = 1'b0;
        13'b0100010100010: out = 1'b0;
        13'b0100010100011: out = 1'b1;
        13'b0100010100100: out = 1'b1;
        13'b0100010100101: out = 1'b0;
        13'b0100010100110: out = 1'b1;
        13'b0100010100111: out = 1'b1;
        13'b0100010101000: out = 1'b0;
        13'b0100010101001: out = 1'b0;
        13'b0100010101010: out = 1'b0;
        13'b0100010101011: out = 1'b0;
        13'b0100010101100: out = 1'b0;
        13'b0100010101101: out = 1'b0;
        13'b0100010101110: out = 1'b0;
        13'b0100010101111: out = 1'b0;
        13'b0100010110000: out = 1'b0;
        13'b0100010110001: out = 1'b0;
        13'b0100010110010: out = 1'b0;
        13'b0100010110011: out = 1'b0;
        13'b0100010110100: out = 1'b0;
        13'b0100010110101: out = 1'b0;
        13'b0100010110110: out = 1'b0;
        13'b0100010110111: out = 1'b0;
        13'b0100010111000: out = 1'b0;
        13'b0100010111001: out = 1'b0;
        13'b0100010111010: out = 1'b0;
        13'b0100010111011: out = 1'b0;
        13'b0100010111100: out = 1'b0;
        13'b0100010111101: out = 1'b0;
        13'b0100010111110: out = 1'b0;
        13'b0100010111111: out = 1'b0;
        13'b0100011000000: out = 1'b0;
        13'b0100011000001: out = 1'b0;
        13'b0100011000010: out = 1'b0;
        13'b0100011000011: out = 1'b0;
        13'b0100011000100: out = 1'b0;
        13'b0100011000101: out = 1'b0;
        13'b0100011000110: out = 1'b0;
        13'b0100011000111: out = 1'b0;
        13'b0100011001000: out = 1'b0;
        13'b0100011001001: out = 1'b0;
        13'b0100011001010: out = 1'b0;
        13'b0100011001011: out = 1'b0;
        13'b0100011001100: out = 1'b0;
        13'b0100011001101: out = 1'b0;
        13'b0100011001110: out = 1'b0;
        13'b0100011001111: out = 1'b0;
        13'b0100011010000: out = 1'b0;
        13'b0100011010001: out = 1'b0;
        13'b0100011010010: out = 1'b1;
        13'b0100011010011: out = 1'b1;
        13'b0100011010100: out = 1'b1;
        13'b0100011010101: out = 1'b1;
        13'b0100011010110: out = 1'b1;
        13'b0100011010111: out = 1'b0;
        13'b0100011011000: out = 1'b0;
        13'b0100011011001: out = 1'b0;
        13'b0100011011010: out = 1'b0;
        13'b0100011011011: out = 1'b0;
        13'b0100011011100: out = 1'b0;
        13'b0100011011101: out = 1'b1;
        13'b0100011011110: out = 1'b1;
        13'b0100011011111: out = 1'b1;
        13'b0100011100000: out = 1'b1;
        13'b0100011100001: out = 1'b1;
        13'b0100011100010: out = 1'b0;
        13'b0100011100011: out = 1'b0;
        13'b0100011100100: out = 1'b0;
        13'b0100011100101: out = 1'b0;
        13'b0100011100110: out = 1'b0;
        13'b0100011100111: out = 1'b0;
        13'b0100011101000: out = 1'b0;
        13'b0100011101001: out = 1'b0;
        13'b0100011101010: out = 1'b1;
        13'b0100011101011: out = 1'b1;
        13'b0100011101100: out = 1'b0;
        13'b0100011101101: out = 1'b0;
        13'b0100011101110: out = 1'b1;
        13'b0100011101111: out = 1'b1;
        13'b0100011110000: out = 1'b0;
        13'b0100011110001: out = 1'b1;
        13'b0100011110010: out = 1'b1;
        13'b0100011110011: out = 1'b0;
        13'b0100011110100: out = 1'b0;
        13'b0100011110101: out = 1'b0;
        13'b0100011110110: out = 1'b0;
        13'b0100011110111: out = 1'b0;
        13'b0100011111000: out = 1'b1;
        13'b0100011111001: out = 1'b1;
        13'b0100011111010: out = 1'b0;
        13'b0100011111011: out = 1'b0;
        13'b0100011111100: out = 1'b1;
        13'b0100011111101: out = 1'b1;
        13'b0100011111110: out = 1'b0;
        13'b0100011111111: out = 1'b0;
        13'b0100100000000: out = 1'b1;
        13'b0100100000001: out = 1'b1;
        13'b0100100000010: out = 1'b0;
        13'b0100100000011: out = 1'b1;
        13'b0100100000100: out = 1'b1;
        13'b0100100000101: out = 1'b1;
        13'b0100100000110: out = 1'b1;
        13'b0100100000111: out = 1'b1;
        13'b0100100001000: out = 1'b1;
        13'b0100100001001: out = 1'b0;
        13'b0100100001010: out = 1'b1;
        13'b0100100001011: out = 1'b1;
        13'b0100100001100: out = 1'b1;
        13'b0100100001101: out = 1'b1;
        13'b0100100001110: out = 1'b1;
        13'b0100100001111: out = 1'b1;
        13'b0100100010000: out = 1'b0;
        13'b0100100010001: out = 1'b1;
        13'b0100100010010: out = 1'b1;
        13'b0100100010011: out = 1'b1;
        13'b0100100010100: out = 1'b1;
        13'b0100100010101: out = 1'b1;
        13'b0100100010110: out = 1'b1;
        13'b0100100010111: out = 1'b0;
        13'b0100100011000: out = 1'b1;
        13'b0100100011001: out = 1'b1;
        13'b0100100011010: out = 1'b1;
        13'b0100100011011: out = 1'b1;
        13'b0100100011100: out = 1'b1;
        13'b0100100011101: out = 1'b1;
        13'b0100100011110: out = 1'b0;
        13'b0100100011111: out = 1'b1;
        13'b0100100100000: out = 1'b1;
        13'b0100100100001: out = 1'b1;
        13'b0100100100010: out = 1'b1;
        13'b0100100100011: out = 1'b1;
        13'b0100100100100: out = 1'b1;
        13'b0100100100101: out = 1'b0;
        13'b0100100100110: out = 1'b1;
        13'b0100100100111: out = 1'b1;
        13'b0100100101000: out = 1'b1;
        13'b0100100101001: out = 1'b1;
        13'b0100100101010: out = 1'b1;
        13'b0100100101011: out = 1'b1;
        13'b0100100101100: out = 1'b0;
        13'b0100100101101: out = 1'b0;
        13'b0100100101110: out = 1'b0;
        13'b0100100101111: out = 1'b0;
        13'b0100100110000: out = 1'b0;
        13'b0100100110001: out = 1'b0;
        13'b0100100110010: out = 1'b0;
        13'b0100100110011: out = 1'b0;
        13'b0100100110100: out = 1'b0;
        13'b0100100110101: out = 1'b0;
        13'b0100100110110: out = 1'b0;
        13'b0100100110111: out = 1'b0;
        13'b0100100111000: out = 1'b0;
        13'b0100100111001: out = 1'b0;
        13'b0100100111010: out = 1'b0;
        13'b0100100111011: out = 1'b0;
        13'b0100100111100: out = 1'b0;
        13'b0100100111101: out = 1'b0;
        13'b0100100111110: out = 1'b0;
        13'b0100100111111: out = 1'b0;
        13'b0100101000000: out = 1'b0;
        13'b0100101000001: out = 1'b0;
        13'b0100101000010: out = 1'b0;
        13'b0100101000011: out = 1'b0;
        13'b0100101000100: out = 1'b0;
        13'b0100101000101: out = 1'b0;
        13'b0100101000110: out = 1'b0;
        13'b0100101000111: out = 1'b0;
        13'b0100101001000: out = 1'b0;
        13'b0100101001001: out = 1'b0;
        13'b0100101001010: out = 1'b0;
        13'b0100101001011: out = 1'b0;
        13'b0100101001100: out = 1'b0;
        13'b0100101001101: out = 1'b0;
        13'b0100101001110: out = 1'b0;
        13'b0100101001111: out = 1'b0;
        13'b0100101010000: out = 1'b0;
        13'b0100101010001: out = 1'b0;
        13'b0100101010010: out = 1'b0;
        13'b0100101010011: out = 1'b0;
        13'b0100101010100: out = 1'b1;
        13'b0100101010101: out = 1'b1;
        13'b0100101010110: out = 1'b1;
        13'b0100101010111: out = 1'b1;
        13'b0100101011000: out = 1'b1;
        13'b0100101011001: out = 1'b1;
        13'b0100101011010: out = 1'b1;
        13'b0100101011011: out = 1'b1;
        13'b0100101011100: out = 1'b1;
        13'b0100101011101: out = 1'b1;
        13'b0100101011110: out = 1'b1;
        13'b0100101011111: out = 1'b1;
        13'b0100101100000: out = 1'b0;
        13'b0100101100001: out = 1'b0;
        13'b0100101100010: out = 1'b0;
        13'b0100101100011: out = 1'b0;
        13'b0100101100100: out = 1'b0;
        13'b0100101100101: out = 1'b0;
        13'b0100101100110: out = 1'b0;
        13'b0100101100111: out = 1'b0;
        13'b0100101101000: out = 1'b0;
        13'b0100101101001: out = 1'b0;
        13'b0100101101010: out = 1'b1;
        13'b0100101101011: out = 1'b1;
        13'b0100101101100: out = 1'b1;
        13'b0100101101101: out = 1'b1;
        13'b0100101101110: out = 1'b1;
        13'b0100101101111: out = 1'b1;
        13'b0100101110000: out = 1'b0;
        13'b0100101110001: out = 1'b1;
        13'b0100101110010: out = 1'b1;
        13'b0100101110011: out = 1'b1;
        13'b0100101110100: out = 1'b1;
        13'b0100101110101: out = 1'b1;
        13'b0100101110110: out = 1'b1;
        13'b0100101110111: out = 1'b0;
        13'b0100101111000: out = 1'b1;
        13'b0100101111001: out = 1'b1;
        13'b0100101111010: out = 1'b1;
        13'b0100101111011: out = 1'b1;
        13'b0100101111100: out = 1'b1;
        13'b0100101111101: out = 1'b1;
        13'b0100101111110: out = 1'b1;
        13'b0100101111111: out = 1'b1;
        13'b0100110000000: out = 1'b1;
        13'b0100110000001: out = 1'b0;
        13'b0100110000010: out = 1'b0;
        13'b0100110000011: out = 1'b0;
        13'b0100110000100: out = 1'b1;
        13'b0100110000101: out = 1'b1;
        13'b0100110000110: out = 1'b1;
        13'b0100110000111: out = 1'b1;
        13'b0100110001000: out = 1'b0;
        13'b0100110001001: out = 1'b0;
        13'b0100110001010: out = 1'b0;
        13'b0100110001011: out = 1'b1;
        13'b0100110001100: out = 1'b1;
        13'b0100110001101: out = 1'b1;
        13'b0100110001110: out = 1'b1;
        13'b0100110001111: out = 1'b1;
        13'b0100110010000: out = 1'b0;
        13'b0100110010001: out = 1'b0;
        13'b0100110010010: out = 1'b1;
        13'b0100110010011: out = 1'b1;
        13'b0100110010100: out = 1'b1;
        13'b0100110010101: out = 1'b1;
        13'b0100110010110: out = 1'b0;
        13'b0100110010111: out = 1'b0;
        13'b0100110011000: out = 1'b1;
        13'b0100110011001: out = 1'b1;
        13'b0100110011010: out = 1'b1;
        13'b0100110011011: out = 1'b1;
        13'b0100110011100: out = 1'b1;
        13'b0100110011101: out = 1'b1;
        13'b0100110011110: out = 1'b0;
        13'b0100110011111: out = 1'b1;
        13'b0100110100000: out = 1'b1;
        13'b0100110100001: out = 1'b1;
        13'b0100110100010: out = 1'b1;
        13'b0100110100011: out = 1'b1;
        13'b0100110100100: out = 1'b0;
        13'b0100110100101: out = 1'b0;
        13'b0100110100110: out = 1'b1;
        13'b0100110100111: out = 1'b1;
        13'b0100110101000: out = 1'b1;
        13'b0100110101001: out = 1'b1;
        13'b0100110101010: out = 1'b1;
        13'b0100110101011: out = 1'b1;
        13'b0100110101100: out = 1'b0;
        13'b0100110101101: out = 1'b0;
        13'b0100110101110: out = 1'b0;
        13'b0100110101111: out = 1'b0;
        13'b0100110110000: out = 1'b0;
        13'b0100110110001: out = 1'b0;
        13'b0100110110010: out = 1'b0;
        13'b0100110110011: out = 1'b0;
        13'b0100110110100: out = 1'b0;
        13'b0100110110101: out = 1'b0;
        13'b0100110110110: out = 1'b0;
        13'b0100110110111: out = 1'b0;
        13'b0100110111000: out = 1'b0;
        13'b0100110111001: out = 1'b0;
        13'b0100110111010: out = 1'b0;
        13'b0100110111011: out = 1'b0;
        13'b0100110111100: out = 1'b0;
        13'b0100110111101: out = 1'b0;
        13'b0100110111110: out = 1'b0;
        13'b0100110111111: out = 1'b0;
        13'b0100111000000: out = 1'b0;
        13'b0100111000001: out = 1'b0;
        13'b0100111000010: out = 1'b0;
        13'b0100111000011: out = 1'b0;
        13'b0100111000100: out = 1'b0;
        13'b0100111000101: out = 1'b0;
        13'b0100111000110: out = 1'b0;
        13'b0100111000111: out = 1'b0;
        13'b0100111001000: out = 1'b0;
        13'b0100111001001: out = 1'b0;
        13'b0100111001010: out = 1'b0;
        13'b0100111001011: out = 1'b0;
        13'b0100111001100: out = 1'b0;
        13'b0100111001101: out = 1'b0;
        13'b0100111001110: out = 1'b0;
        13'b0100111001111: out = 1'b0;
        13'b0100111010000: out = 1'b0;
        13'b0100111010001: out = 1'b0;
        13'b0100111010010: out = 1'b0;
        13'b0100111010011: out = 1'b0;
        13'b0100111010100: out = 1'b0;
        13'b0100111010101: out = 1'b0;
        13'b0100111010110: out = 1'b1;
        13'b0100111010111: out = 1'b1;
        13'b0100111011000: out = 1'b1;
        13'b0100111011001: out = 1'b1;
        13'b0100111011010: out = 1'b1;
        13'b0100111011011: out = 1'b1;
        13'b0100111011100: out = 1'b1;
        13'b0100111011101: out = 1'b1;
        13'b0100111011110: out = 1'b0;
        13'b0100111011111: out = 1'b0;
        13'b0100111100000: out = 1'b0;
        13'b0100111100001: out = 1'b0;
        13'b0100111100010: out = 1'b0;
        13'b0100111100011: out = 1'b0;
        13'b0100111100100: out = 1'b0;
        13'b0100111100101: out = 1'b0;
        13'b0100111100110: out = 1'b0;
        13'b0100111100111: out = 1'b0;
        13'b0100111101000: out = 1'b0;
        13'b0100111101001: out = 1'b0;
        13'b0100111101010: out = 1'b1;
        13'b0100111101011: out = 1'b1;
        13'b0100111101100: out = 1'b1;
        13'b0100111101101: out = 1'b1;
        13'b0100111101110: out = 1'b1;
        13'b0100111101111: out = 1'b0;
        13'b0100111110000: out = 1'b0;
        13'b0100111110001: out = 1'b1;
        13'b0100111110010: out = 1'b1;
        13'b0100111110011: out = 1'b1;
        13'b0100111110100: out = 1'b1;
        13'b0100111110101: out = 1'b1;
        13'b0100111110110: out = 1'b1;
        13'b0100111110111: out = 1'b0;
        13'b0100111111000: out = 1'b0;
        13'b0100111111001: out = 1'b1;
        13'b0100111111010: out = 1'b1;
        13'b0100111111011: out = 1'b1;
        13'b0100111111100: out = 1'b1;
        13'b0100111111101: out = 1'b1;
        13'b0100111111110: out = 1'b1;
        13'b0100111111111: out = 1'b1;
        13'b0101000000000: out = 1'b0;
        13'b0101000000001: out = 1'b0;
        13'b0101000000010: out = 1'b0;
        13'b0101000000011: out = 1'b0;
        13'b0101000000100: out = 1'b0;
        13'b0101000000101: out = 1'b0;
        13'b0101000000110: out = 1'b0;
        13'b0101000000111: out = 1'b0;
        13'b0101000001000: out = 1'b0;
        13'b0101000001001: out = 1'b0;
        13'b0101000001010: out = 1'b0;
        13'b0101000001011: out = 1'b0;
        13'b0101000001100: out = 1'b0;
        13'b0101000001101: out = 1'b0;
        13'b0101000001110: out = 1'b0;
        13'b0101000001111: out = 1'b0;
        13'b0101000010000: out = 1'b0;
        13'b0101000010001: out = 1'b0;
        13'b0101000010010: out = 1'b0;
        13'b0101000010011: out = 1'b0;
        13'b0101000010100: out = 1'b0;
        13'b0101000010101: out = 1'b0;
        13'b0101000010110: out = 1'b0;
        13'b0101000010111: out = 1'b0;
        13'b0101000011000: out = 1'b0;
        13'b0101000011001: out = 1'b0;
        13'b0101000011010: out = 1'b0;
        13'b0101000011011: out = 1'b0;
        13'b0101000011100: out = 1'b0;
        13'b0101000011101: out = 1'b0;
        13'b0101000011110: out = 1'b0;
        13'b0101000011111: out = 1'b0;
        13'b0101000100000: out = 1'b0;
        13'b0101000100001: out = 1'b0;
        13'b0101000100010: out = 1'b0;
        13'b0101000100011: out = 1'b0;
        13'b0101000100100: out = 1'b0;
        13'b0101000100101: out = 1'b0;
        13'b0101000100110: out = 1'b0;
        13'b0101000100111: out = 1'b0;
        13'b0101000101000: out = 1'b0;
        13'b0101000101001: out = 1'b0;
        13'b0101000101010: out = 1'b0;
        13'b0101000101011: out = 1'b0;
        13'b0101000101100: out = 1'b0;
        13'b0101000101101: out = 1'b0;
        13'b0101000101110: out = 1'b0;
        13'b0101000101111: out = 1'b0;
        13'b0101000110000: out = 1'b0;
        13'b0101000110001: out = 1'b0;
        13'b0101000110010: out = 1'b0;
        13'b0101000110011: out = 1'b0;
        13'b0101000110100: out = 1'b0;
        13'b0101000110101: out = 1'b0;
        13'b0101000110110: out = 1'b0;
        13'b0101000110111: out = 1'b0;
        13'b0101000111000: out = 1'b0;
        13'b0101000111001: out = 1'b0;
        13'b0101000111010: out = 1'b0;
        13'b0101000111011: out = 1'b0;
        13'b0101000111100: out = 1'b0;
        13'b0101000111101: out = 1'b0;
        13'b0101000111110: out = 1'b0;
        13'b0101000111111: out = 1'b0;
        13'b0101001000000: out = 1'b0;
        13'b0101001000001: out = 1'b0;
        13'b0101001000010: out = 1'b0;
        13'b0101001000011: out = 1'b0;
        13'b0101001000100: out = 1'b0;
        13'b0101001000101: out = 1'b0;
        13'b0101001000110: out = 1'b0;
        13'b0101001000111: out = 1'b0;
        13'b0101001001000: out = 1'b0;
        13'b0101001001001: out = 1'b0;
        13'b0101001001010: out = 1'b0;
        13'b0101001001011: out = 1'b0;
        13'b0101001001100: out = 1'b0;
        13'b0101001001101: out = 1'b0;
        13'b0101001001110: out = 1'b0;
        13'b0101001001111: out = 1'b0;
        13'b0101001010000: out = 1'b0;
        13'b0101001010001: out = 1'b0;
        13'b0101001010010: out = 1'b0;
        13'b0101001010011: out = 1'b0;
        13'b0101001010100: out = 1'b0;
        13'b0101001010101: out = 1'b0;
        13'b0101001010110: out = 1'b0;
        13'b0101001010111: out = 1'b0;
        13'b0101001011000: out = 1'b0;
        13'b0101001011001: out = 1'b0;
        13'b0101001011010: out = 1'b0;
        13'b0101001011011: out = 1'b0;
        13'b0101001011100: out = 1'b0;
        13'b0101001011101: out = 1'b0;
        13'b0101001011110: out = 1'b0;
        13'b0101001011111: out = 1'b0;
        13'b0101001100000: out = 1'b0;
        13'b0101001100001: out = 1'b0;
        13'b0101001100010: out = 1'b0;
        13'b0101001100011: out = 1'b0;
        13'b0101001100100: out = 1'b0;
        13'b0101001100101: out = 1'b0;
        13'b0101001100110: out = 1'b0;
        13'b0101001100111: out = 1'b0;
        13'b0101001101000: out = 1'b0;
        13'b0101001101001: out = 1'b0;
        13'b0101001101010: out = 1'b0;
        13'b0101001101011: out = 1'b0;
        13'b0101001101100: out = 1'b0;
        13'b0101001101101: out = 1'b0;
        13'b0101001101110: out = 1'b0;
        13'b0101001101111: out = 1'b0;
        13'b0101001110000: out = 1'b0;
        13'b0101001110001: out = 1'b0;
        13'b0101001110010: out = 1'b0;
        13'b0101001110011: out = 1'b0;
        13'b0101001110100: out = 1'b0;
        13'b0101001110101: out = 1'b0;
        13'b0101001110110: out = 1'b0;
        13'b0101001110111: out = 1'b0;
        13'b0101001111000: out = 1'b0;
        13'b0101001111001: out = 1'b0;
        13'b0101001111010: out = 1'b0;
        13'b0101001111011: out = 1'b0;
        13'b0101001111100: out = 1'b0;
        13'b0101001111101: out = 1'b0;
        13'b0101001111110: out = 1'b0;
        13'b0101001111111: out = 1'b0;
        13'b0101010000000: out = 1'b0;
        13'b0101010000001: out = 1'b0;
        13'b0101010000010: out = 1'b0;
        13'b0101010000011: out = 1'b0;
        13'b0101010000100: out = 1'b0;
        13'b0101010000101: out = 1'b0;
        13'b0101010000110: out = 1'b0;
        13'b0101010000111: out = 1'b0;
        13'b0101010001000: out = 1'b0;
        13'b0101010001001: out = 1'b0;
        13'b0101010001010: out = 1'b0;
        13'b0101010001011: out = 1'b0;
        13'b0101010001100: out = 1'b0;
        13'b0101010001101: out = 1'b0;
        13'b0101010001110: out = 1'b0;
        13'b0101010001111: out = 1'b0;
        13'b0101010010000: out = 1'b0;
        13'b0101010010001: out = 1'b0;
        13'b0101010010010: out = 1'b0;
        13'b0101010010011: out = 1'b0;
        13'b0101010010100: out = 1'b0;
        13'b0101010010101: out = 1'b0;
        13'b0101010010110: out = 1'b0;
        13'b0101010010111: out = 1'b0;
        13'b0101010011000: out = 1'b0;
        13'b0101010011001: out = 1'b0;
        13'b0101010011010: out = 1'b0;
        13'b0101010011011: out = 1'b0;
        13'b0101010011100: out = 1'b0;
        13'b0101010011101: out = 1'b0;
        13'b0101010011110: out = 1'b0;
        13'b0101010011111: out = 1'b0;
        13'b0101010100000: out = 1'b0;
        13'b0101010100001: out = 1'b0;
        13'b0101010100010: out = 1'b0;
        13'b0101010100011: out = 1'b0;
        13'b0101010100100: out = 1'b0;
        13'b0101010100101: out = 1'b0;
        13'b0101010100110: out = 1'b0;
        13'b0101010100111: out = 1'b0;
        13'b0101010101000: out = 1'b0;
        13'b0101010101001: out = 1'b0;
        13'b0101010101010: out = 1'b0;
        13'b0101010101011: out = 1'b0;
        13'b0101010101100: out = 1'b0;
        13'b0101010101101: out = 1'b0;
        13'b0101010101110: out = 1'b0;
        13'b0101010101111: out = 1'b0;
        13'b0101010110000: out = 1'b0;
        13'b0101010110001: out = 1'b0;
        13'b0101010110010: out = 1'b0;
        13'b0101010110011: out = 1'b0;
        13'b0101010110100: out = 1'b0;
        13'b0101010110101: out = 1'b0;
        13'b0101010110110: out = 1'b0;
        13'b0101010110111: out = 1'b0;
        13'b0101010111000: out = 1'b0;
        13'b0101010111001: out = 1'b0;
        13'b0101010111010: out = 1'b0;
        13'b0101010111011: out = 1'b0;
        13'b0101010111100: out = 1'b0;
        13'b0101010111101: out = 1'b0;
        13'b0101010111110: out = 1'b0;
        13'b0101010111111: out = 1'b0;
        13'b0101011000000: out = 1'b0;
        13'b0101011000001: out = 1'b0;
        13'b0101011000010: out = 1'b0;
        13'b0101011000011: out = 1'b0;
        13'b0101011000100: out = 1'b0;
        13'b0101011000101: out = 1'b0;
        13'b0101011000110: out = 1'b0;
        13'b0101011000111: out = 1'b0;
        13'b0101011001000: out = 1'b0;
        13'b0101011001001: out = 1'b0;
        13'b0101011001010: out = 1'b0;
        13'b0101011001011: out = 1'b0;
        13'b0101011001100: out = 1'b0;
        13'b0101011001101: out = 1'b0;
        13'b0101011001110: out = 1'b0;
        13'b0101011001111: out = 1'b0;
        13'b0101011010000: out = 1'b0;
        13'b0101011010001: out = 1'b0;
        13'b0101011010010: out = 1'b0;
        13'b0101011010011: out = 1'b0;
        13'b0101011010100: out = 1'b0;
        13'b0101011010101: out = 1'b0;
        13'b0101011010110: out = 1'b0;
        13'b0101011010111: out = 1'b0;
        13'b0101011011000: out = 1'b0;
        13'b0101011011001: out = 1'b0;
        13'b0101011011010: out = 1'b0;
        13'b0101011011011: out = 1'b0;
        13'b0101011011100: out = 1'b0;
        13'b0101011011101: out = 1'b0;
        13'b0101011011110: out = 1'b0;
        13'b0101011011111: out = 1'b0;
        13'b0101011100000: out = 1'b0;
        13'b0101011100001: out = 1'b0;
        13'b0101011100010: out = 1'b0;
        13'b0101011100011: out = 1'b0;
        13'b0101011100100: out = 1'b0;
        13'b0101011100101: out = 1'b0;
        13'b0101011100110: out = 1'b0;
        13'b0101011100111: out = 1'b0;
        13'b0101011101000: out = 1'b0;
        13'b0101011101001: out = 1'b0;
        13'b0101011101010: out = 1'b0;
        13'b0101011101011: out = 1'b0;
        13'b0101011101100: out = 1'b0;
        13'b0101011101101: out = 1'b0;
        13'b0101011101110: out = 1'b0;
        13'b0101011101111: out = 1'b0;
        13'b0101011110000: out = 1'b0;
        13'b0101011110001: out = 1'b0;
        13'b0101011110010: out = 1'b0;
        13'b0101011110011: out = 1'b0;
        13'b0101011110100: out = 1'b0;
        13'b0101011110101: out = 1'b0;
        13'b0101011110110: out = 1'b0;
        13'b0101011110111: out = 1'b0;
        13'b0101011111000: out = 1'b0;
        13'b0101011111001: out = 1'b0;
        13'b0101011111010: out = 1'b0;
        13'b0101011111011: out = 1'b0;
        13'b0101011111100: out = 1'b0;
        13'b0101011111101: out = 1'b0;
        13'b0101011111110: out = 1'b0;
        13'b0101011111111: out = 1'b0;
        13'b0101100000000: out = 1'b0;
        13'b0101100000001: out = 1'b0;
        13'b0101100000010: out = 1'b0;
        13'b0101100000011: out = 1'b0;
        13'b0101100000100: out = 1'b0;
        13'b0101100000101: out = 1'b0;
        13'b0101100000110: out = 1'b0;
        13'b0101100000111: out = 1'b0;
        13'b0101100001000: out = 1'b0;
        13'b0101100001001: out = 1'b0;
        13'b0101100001010: out = 1'b0;
        13'b0101100001011: out = 1'b0;
        13'b0101100001100: out = 1'b0;
        13'b0101100001101: out = 1'b0;
        13'b0101100001110: out = 1'b0;
        13'b0101100001111: out = 1'b0;
        13'b0101100010000: out = 1'b0;
        13'b0101100010001: out = 1'b0;
        13'b0101100010010: out = 1'b0;
        13'b0101100010011: out = 1'b0;
        13'b0101100010100: out = 1'b0;
        13'b0101100010101: out = 1'b0;
        13'b0101100010110: out = 1'b0;
        13'b0101100010111: out = 1'b0;
        13'b0101100011000: out = 1'b0;
        13'b0101100011001: out = 1'b0;
        13'b0101100011010: out = 1'b0;
        13'b0101100011011: out = 1'b0;
        13'b0101100011100: out = 1'b0;
        13'b0101100011101: out = 1'b0;
        13'b0101100011110: out = 1'b0;
        13'b0101100011111: out = 1'b0;
        13'b0101100100000: out = 1'b0;
        13'b0101100100001: out = 1'b0;
        13'b0101100100010: out = 1'b0;
        13'b0101100100011: out = 1'b0;
        13'b0101100100100: out = 1'b0;
        13'b0101100100101: out = 1'b0;
        13'b0101100100110: out = 1'b0;
        13'b0101100100111: out = 1'b0;
        13'b0101100101000: out = 1'b0;
        13'b0101100101001: out = 1'b0;
        13'b0101100101010: out = 1'b0;
        13'b0101100101011: out = 1'b0;
        13'b0101100101100: out = 1'b0;
        13'b0101100101101: out = 1'b0;
        13'b0101100101110: out = 1'b0;
        13'b0101100101111: out = 1'b0;
        13'b0101100110000: out = 1'b0;
        13'b0101100110001: out = 1'b0;
        13'b0101100110010: out = 1'b0;
        13'b0101100110011: out = 1'b0;
        13'b0101100110100: out = 1'b0;
        13'b0101100110101: out = 1'b0;
        13'b0101100110110: out = 1'b0;
        13'b0101100110111: out = 1'b0;
        13'b0101100111000: out = 1'b0;
        13'b0101100111001: out = 1'b0;
        13'b0101100111010: out = 1'b0;
        13'b0101100111011: out = 1'b0;
        13'b0101100111100: out = 1'b0;
        13'b0101100111101: out = 1'b0;
        13'b0101100111110: out = 1'b0;
        13'b0101100111111: out = 1'b0;
        13'b0101101000000: out = 1'b0;
        13'b0101101000001: out = 1'b0;
        13'b0101101000010: out = 1'b0;
        13'b0101101000011: out = 1'b0;
        13'b0101101000100: out = 1'b0;
        13'b0101101000101: out = 1'b0;
        13'b0101101000110: out = 1'b0;
        13'b0101101000111: out = 1'b0;
        13'b0101101001000: out = 1'b0;
        13'b0101101001001: out = 1'b0;
        13'b0101101001010: out = 1'b0;
        13'b0101101001011: out = 1'b0;
        13'b0101101001100: out = 1'b0;
        13'b0101101001101: out = 1'b0;
        13'b0101101001110: out = 1'b0;
        13'b0101101001111: out = 1'b0;
        13'b0101101010000: out = 1'b0;
        13'b0101101010001: out = 1'b0;
        13'b0101101010010: out = 1'b0;
        13'b0101101010011: out = 1'b0;
        13'b0101101010100: out = 1'b0;
        13'b0101101010101: out = 1'b0;
        13'b0101101010110: out = 1'b0;
        13'b0101101010111: out = 1'b0;
        13'b0101101011000: out = 1'b0;
        13'b0101101011001: out = 1'b0;
        13'b0101101011010: out = 1'b0;
        13'b0101101011011: out = 1'b0;
        13'b0101101011100: out = 1'b0;
        13'b0101101011101: out = 1'b0;
        13'b0101101011110: out = 1'b0;
        13'b0101101011111: out = 1'b0;
        13'b0101101100000: out = 1'b0;
        13'b0101101100001: out = 1'b0;
        13'b0101101100010: out = 1'b0;
        13'b0101101100011: out = 1'b0;
        13'b0101101100100: out = 1'b0;
        13'b0101101100101: out = 1'b0;
        13'b0101101100110: out = 1'b0;
        13'b0101101100111: out = 1'b0;
        13'b0101101101000: out = 1'b0;
        13'b0101101101001: out = 1'b0;
        13'b0101101101010: out = 1'b0;
        13'b0101101101011: out = 1'b0;
        13'b0101101101100: out = 1'b0;
        13'b0101101101101: out = 1'b0;
        13'b0101101101110: out = 1'b0;
        13'b0101101101111: out = 1'b0;
        13'b0101101110000: out = 1'b0;
        13'b0101101110001: out = 1'b0;
        13'b0101101110010: out = 1'b0;
        13'b0101101110011: out = 1'b0;
        13'b0101101110100: out = 1'b0;
        13'b0101101110101: out = 1'b0;
        13'b0101101110110: out = 1'b0;
        13'b0101101110111: out = 1'b0;
        13'b0101101111000: out = 1'b0;
        13'b0101101111001: out = 1'b0;
        13'b0101101111010: out = 1'b0;
        13'b0101101111011: out = 1'b0;
        13'b0101101111100: out = 1'b0;
        13'b0101101111101: out = 1'b0;
        13'b0101101111110: out = 1'b0;
        13'b0101101111111: out = 1'b0;
        13'b0101110000000: out = 1'b0;
        13'b0101110000001: out = 1'b0;
        13'b0101110000010: out = 1'b0;
        13'b0101110000011: out = 1'b0;
        13'b0101110000100: out = 1'b0;
        13'b0101110000101: out = 1'b0;
        13'b0101110000110: out = 1'b0;
        13'b0101110000111: out = 1'b0;
        13'b0101110001000: out = 1'b0;
        13'b0101110001001: out = 1'b0;
        13'b0101110001010: out = 1'b0;
        13'b0101110001011: out = 1'b0;
        13'b0101110001100: out = 1'b0;
        13'b0101110001101: out = 1'b0;
        13'b0101110001110: out = 1'b0;
        13'b0101110001111: out = 1'b0;
        13'b0101110010000: out = 1'b0;
        13'b0101110010001: out = 1'b0;
        13'b0101110010010: out = 1'b0;
        13'b0101110010011: out = 1'b0;
        13'b0101110010100: out = 1'b0;
        13'b0101110010101: out = 1'b0;
        13'b0101110010110: out = 1'b0;
        13'b0101110010111: out = 1'b0;
        13'b0101110011000: out = 1'b0;
        13'b0101110011001: out = 1'b0;
        13'b0101110011010: out = 1'b0;
        13'b0101110011011: out = 1'b0;
        13'b0101110011100: out = 1'b0;
        13'b0101110011101: out = 1'b0;
        13'b0101110011110: out = 1'b0;
        13'b0101110011111: out = 1'b0;
        13'b0101110100000: out = 1'b0;
        13'b0101110100001: out = 1'b0;
        13'b0101110100010: out = 1'b0;
        13'b0101110100011: out = 1'b0;
        13'b0101110100100: out = 1'b0;
        13'b0101110100101: out = 1'b0;
        13'b0101110100110: out = 1'b0;
        13'b0101110100111: out = 1'b0;
        13'b0101110101000: out = 1'b0;
        13'b0101110101001: out = 1'b0;
        13'b0101110101010: out = 1'b0;
        13'b0101110101011: out = 1'b0;
        13'b0101110101100: out = 1'b0;
        13'b0101110101101: out = 1'b0;
        13'b0101110101110: out = 1'b0;
        13'b0101110101111: out = 1'b0;
        13'b0101110110000: out = 1'b0;
        13'b0101110110001: out = 1'b0;
        13'b0101110110010: out = 1'b0;
        13'b0101110110011: out = 1'b0;
        13'b0101110110100: out = 1'b0;
        13'b0101110110101: out = 1'b0;
        13'b0101110110110: out = 1'b0;
        13'b0101110110111: out = 1'b0;
        13'b0101110111000: out = 1'b0;
        13'b0101110111001: out = 1'b0;
        13'b0101110111010: out = 1'b0;
        13'b0101110111011: out = 1'b0;
        13'b0101110111100: out = 1'b0;
        13'b0101110111101: out = 1'b0;
        13'b0101110111110: out = 1'b0;
        13'b0101110111111: out = 1'b0;
        13'b0101111000000: out = 1'b0;
        13'b0101111000001: out = 1'b0;
        13'b0101111000010: out = 1'b0;
        13'b0101111000011: out = 1'b0;
        13'b0101111000100: out = 1'b0;
        13'b0101111000101: out = 1'b0;
        13'b0101111000110: out = 1'b0;
        13'b0101111000111: out = 1'b0;
        13'b0101111001000: out = 1'b0;
        13'b0101111001001: out = 1'b0;
        13'b0101111001010: out = 1'b0;
        13'b0101111001011: out = 1'b0;
        13'b0101111001100: out = 1'b0;
        13'b0101111001101: out = 1'b0;
        13'b0101111001110: out = 1'b0;
        13'b0101111001111: out = 1'b0;
        13'b0101111010000: out = 1'b0;
        13'b0101111010001: out = 1'b0;
        13'b0101111010010: out = 1'b0;
        13'b0101111010011: out = 1'b0;
        13'b0101111010100: out = 1'b0;
        13'b0101111010101: out = 1'b0;
        13'b0101111010110: out = 1'b0;
        13'b0101111010111: out = 1'b0;
        13'b0101111011000: out = 1'b0;
        13'b0101111011001: out = 1'b0;
        13'b0101111011010: out = 1'b0;
        13'b0101111011011: out = 1'b0;
        13'b0101111011100: out = 1'b0;
        13'b0101111011101: out = 1'b0;
        13'b0101111011110: out = 1'b0;
        13'b0101111011111: out = 1'b0;
        13'b0101111100000: out = 1'b0;
        13'b0101111100001: out = 1'b0;
        13'b0101111100010: out = 1'b0;
        13'b0101111100011: out = 1'b0;
        13'b0101111100100: out = 1'b0;
        13'b0101111100101: out = 1'b0;
        13'b0101111100110: out = 1'b0;
        13'b0101111100111: out = 1'b0;
        13'b0101111101000: out = 1'b0;
        13'b0101111101001: out = 1'b0;
        13'b0101111101010: out = 1'b0;
        13'b0101111101011: out = 1'b0;
        13'b0101111101100: out = 1'b0;
        13'b0101111101101: out = 1'b0;
        13'b0101111101110: out = 1'b0;
        13'b0101111101111: out = 1'b0;
        13'b0101111110000: out = 1'b0;
        13'b0101111110001: out = 1'b0;
        13'b0101111110010: out = 1'b0;
        13'b0101111110011: out = 1'b0;
        13'b0101111110100: out = 1'b0;
        13'b0101111110101: out = 1'b0;
        13'b0101111110110: out = 1'b0;
        13'b0101111110111: out = 1'b0;
        13'b0101111111000: out = 1'b0;
        13'b0101111111001: out = 1'b0;
        13'b0101111111010: out = 1'b0;
        13'b0101111111011: out = 1'b0;
        13'b0101111111100: out = 1'b0;
        13'b0101111111101: out = 1'b0;
        13'b0101111111110: out = 1'b0;
        13'b0101111111111: out = 1'b0;
        13'b0110000000000: out = 1'b0;
        13'b0110000000001: out = 1'b0;
        13'b0110000000010: out = 1'b0;
        13'b0110000000011: out = 1'b0;
        13'b0110000000100: out = 1'b0;
        13'b0110000000101: out = 1'b0;
        13'b0110000000110: out = 1'b0;
        13'b0110000000111: out = 1'b0;
        13'b0110000001000: out = 1'b0;
        13'b0110000001001: out = 1'b0;
        13'b0110000001010: out = 1'b0;
        13'b0110000001011: out = 1'b0;
        13'b0110000001100: out = 1'b0;
        13'b0110000001101: out = 1'b0;
        13'b0110000001110: out = 1'b0;
        13'b0110000001111: out = 1'b0;
        13'b0110000010000: out = 1'b0;
        13'b0110000010001: out = 1'b0;
        13'b0110000010010: out = 1'b0;
        13'b0110000010011: out = 1'b0;
        13'b0110000010100: out = 1'b0;
        13'b0110000010101: out = 1'b0;
        13'b0110000010110: out = 1'b0;
        13'b0110000010111: out = 1'b0;
        13'b0110000011000: out = 1'b0;
        13'b0110000011001: out = 1'b0;
        13'b0110000011010: out = 1'b0;
        13'b0110000011011: out = 1'b0;
        13'b0110000011100: out = 1'b0;
        13'b0110000011101: out = 1'b0;
        13'b0110000011110: out = 1'b0;
        13'b0110000011111: out = 1'b0;
        13'b0110000100000: out = 1'b0;
        13'b0110000100001: out = 1'b0;
        13'b0110000100010: out = 1'b0;
        13'b0110000100011: out = 1'b0;
        13'b0110000100100: out = 1'b0;
        13'b0110000100101: out = 1'b0;
        13'b0110000100110: out = 1'b0;
        13'b0110000100111: out = 1'b0;
        13'b0110000101000: out = 1'b0;
        13'b0110000101001: out = 1'b0;
        13'b0110000101010: out = 1'b0;
        13'b0110000101011: out = 1'b0;
        13'b0110000101100: out = 1'b0;
        13'b0110000101101: out = 1'b0;
        13'b0110000101110: out = 1'b0;
        13'b0110000101111: out = 1'b0;
        13'b0110000110000: out = 1'b0;
        13'b0110000110001: out = 1'b0;
        13'b0110000110010: out = 1'b0;
        13'b0110000110011: out = 1'b0;
        13'b0110000110100: out = 1'b0;
        13'b0110000110101: out = 1'b0;
        13'b0110000110110: out = 1'b0;
        13'b0110000110111: out = 1'b0;
        13'b0110000111000: out = 1'b0;
        13'b0110000111001: out = 1'b0;
        13'b0110000111010: out = 1'b0;
        13'b0110000111011: out = 1'b0;
        13'b0110000111100: out = 1'b0;
        13'b0110000111101: out = 1'b0;
        13'b0110000111110: out = 1'b0;
        13'b0110000111111: out = 1'b0;
        13'b0110001000000: out = 1'b0;
        13'b0110001000001: out = 1'b0;
        13'b0110001000010: out = 1'b0;
        13'b0110001000011: out = 1'b0;
        13'b0110001000100: out = 1'b0;
        13'b0110001000101: out = 1'b0;
        13'b0110001000110: out = 1'b0;
        13'b0110001000111: out = 1'b0;
        13'b0110001001000: out = 1'b0;
        13'b0110001001001: out = 1'b0;
        13'b0110001001010: out = 1'b0;
        13'b0110001001011: out = 1'b0;
        13'b0110001001100: out = 1'b0;
        13'b0110001001101: out = 1'b0;
        13'b0110001001110: out = 1'b0;
        13'b0110001001111: out = 1'b0;
        13'b0110001010000: out = 1'b0;
        13'b0110001010001: out = 1'b0;
        13'b0110001010010: out = 1'b0;
        13'b0110001010011: out = 1'b0;
        13'b0110001010100: out = 1'b0;
        13'b0110001010101: out = 1'b0;
        13'b0110001010110: out = 1'b0;
        13'b0110001010111: out = 1'b0;
        13'b0110001011000: out = 1'b0;
        13'b0110001011001: out = 1'b0;
        13'b0110001011010: out = 1'b0;
        13'b0110001011011: out = 1'b0;
        13'b0110001011100: out = 1'b0;
        13'b0110001011101: out = 1'b0;
        13'b0110001011110: out = 1'b0;
        13'b0110001011111: out = 1'b0;
        13'b0110001100000: out = 1'b0;
        13'b0110001100001: out = 1'b0;
        13'b0110001100010: out = 1'b0;
        13'b0110001100011: out = 1'b0;
        13'b0110001100100: out = 1'b0;
        13'b0110001100101: out = 1'b0;
        13'b0110001100110: out = 1'b0;
        13'b0110001100111: out = 1'b0;
        13'b0110001101000: out = 1'b0;
        13'b0110001101001: out = 1'b0;
        13'b0110001101010: out = 1'b0;
        13'b0110001101011: out = 1'b0;
        13'b0110001101100: out = 1'b0;
        13'b0110001101101: out = 1'b0;
        13'b0110001101110: out = 1'b0;
        13'b0110001101111: out = 1'b0;
        13'b0110001110000: out = 1'b0;
        13'b0110001110001: out = 1'b0;
        13'b0110001110010: out = 1'b0;
        13'b0110001110011: out = 1'b0;
        13'b0110001110100: out = 1'b0;
        13'b0110001110101: out = 1'b0;
        13'b0110001110110: out = 1'b0;
        13'b0110001110111: out = 1'b0;
        13'b0110001111000: out = 1'b0;
        13'b0110001111001: out = 1'b0;
        13'b0110001111010: out = 1'b0;
        13'b0110001111011: out = 1'b0;
        13'b0110001111100: out = 1'b0;
        13'b0110001111101: out = 1'b0;
        13'b0110001111110: out = 1'b0;
        13'b0110001111111: out = 1'b0;
        13'b0110010000000: out = 1'b0;
        13'b0110010000001: out = 1'b0;
        13'b0110010000010: out = 1'b0;
        13'b0110010000011: out = 1'b0;
        13'b0110010000100: out = 1'b0;
        13'b0110010000101: out = 1'b0;
        13'b0110010000110: out = 1'b0;
        13'b0110010000111: out = 1'b0;
        13'b0110010001000: out = 1'b0;
        13'b0110010001001: out = 1'b0;
        13'b0110010001010: out = 1'b0;
        13'b0110010001011: out = 1'b0;
        13'b0110010001100: out = 1'b0;
        13'b0110010001101: out = 1'b0;
        13'b0110010001110: out = 1'b0;
        13'b0110010001111: out = 1'b0;
        13'b0110010010000: out = 1'b0;
        13'b0110010010001: out = 1'b0;
        13'b0110010010010: out = 1'b0;
        13'b0110010010011: out = 1'b0;
        13'b0110010010100: out = 1'b0;
        13'b0110010010101: out = 1'b0;
        13'b0110010010110: out = 1'b0;
        13'b0110010010111: out = 1'b0;
        13'b0110010011000: out = 1'b0;
        13'b0110010011001: out = 1'b0;
        13'b0110010011010: out = 1'b0;
        13'b0110010011011: out = 1'b0;
        13'b0110010011100: out = 1'b0;
        13'b0110010011101: out = 1'b0;
        13'b0110010011110: out = 1'b0;
        13'b0110010011111: out = 1'b0;
        13'b0110010100000: out = 1'b0;
        13'b0110010100001: out = 1'b0;
        13'b0110010100010: out = 1'b0;
        13'b0110010100011: out = 1'b0;
        13'b0110010100100: out = 1'b0;
        13'b0110010100101: out = 1'b0;
        13'b0110010100110: out = 1'b0;
        13'b0110010100111: out = 1'b0;
        13'b0110010101000: out = 1'b0;
        13'b0110010101001: out = 1'b0;
        13'b0110010101010: out = 1'b0;
        13'b0110010101011: out = 1'b0;
        13'b0110010101100: out = 1'b0;
        13'b0110010101101: out = 1'b0;
        13'b0110010101110: out = 1'b0;
        13'b0110010101111: out = 1'b0;
        13'b0110010110000: out = 1'b0;
        13'b0110010110001: out = 1'b0;
        13'b0110010110010: out = 1'b0;
        13'b0110010110011: out = 1'b0;
        13'b0110010110100: out = 1'b0;
        13'b0110010110101: out = 1'b0;
        13'b0110010110110: out = 1'b0;
        13'b0110010110111: out = 1'b0;
        13'b0110010111000: out = 1'b0;
        13'b0110010111001: out = 1'b0;
        13'b0110010111010: out = 1'b0;
        13'b0110010111011: out = 1'b0;
        13'b0110010111100: out = 1'b0;
        13'b0110010111101: out = 1'b0;
        13'b0110010111110: out = 1'b0;
        13'b0110010111111: out = 1'b0;
        13'b0110011000000: out = 1'b0;
        13'b0110011000001: out = 1'b0;
        13'b0110011000010: out = 1'b0;
        13'b0110011000011: out = 1'b0;
        13'b0110011000100: out = 1'b0;
        13'b0110011000101: out = 1'b0;
        13'b0110011000110: out = 1'b0;
        13'b0110011000111: out = 1'b0;
        13'b0110011001000: out = 1'b0;
        13'b0110011001001: out = 1'b0;
        13'b0110011001010: out = 1'b0;
        13'b0110011001011: out = 1'b0;
        13'b0110011001100: out = 1'b0;
        13'b0110011001101: out = 1'b0;
        13'b0110011001110: out = 1'b0;
        13'b0110011001111: out = 1'b0;
        13'b0110011010000: out = 1'b0;
        13'b0110011010001: out = 1'b0;
        13'b0110011010010: out = 1'b0;
        13'b0110011010011: out = 1'b0;
        13'b0110011010100: out = 1'b0;
        13'b0110011010101: out = 1'b0;
        13'b0110011010110: out = 1'b0;
        13'b0110011010111: out = 1'b0;
        13'b0110011011000: out = 1'b0;
        13'b0110011011001: out = 1'b0;
        13'b0110011011010: out = 1'b0;
        13'b0110011011011: out = 1'b0;
        13'b0110011011100: out = 1'b0;
        13'b0110011011101: out = 1'b0;
        13'b0110011011110: out = 1'b0;
        13'b0110011011111: out = 1'b0;
        13'b0110011100000: out = 1'b0;
        13'b0110011100001: out = 1'b0;
        13'b0110011100010: out = 1'b0;
        13'b0110011100011: out = 1'b0;
        13'b0110011100100: out = 1'b0;
        13'b0110011100101: out = 1'b0;
        13'b0110011100110: out = 1'b0;
        13'b0110011100111: out = 1'b0;
        13'b0110011101000: out = 1'b0;
        13'b0110011101001: out = 1'b0;
        13'b0110011101010: out = 1'b0;
        13'b0110011101011: out = 1'b0;
        13'b0110011101100: out = 1'b0;
        13'b0110011101101: out = 1'b0;
        13'b0110011101110: out = 1'b0;
        13'b0110011101111: out = 1'b0;
        13'b0110011110000: out = 1'b0;
        13'b0110011110001: out = 1'b0;
        13'b0110011110010: out = 1'b0;
        13'b0110011110011: out = 1'b0;
        13'b0110011110100: out = 1'b0;
        13'b0110011110101: out = 1'b0;
        13'b0110011110110: out = 1'b0;
        13'b0110011110111: out = 1'b0;
        13'b0110011111000: out = 1'b0;
        13'b0110011111001: out = 1'b0;
        13'b0110011111010: out = 1'b0;
        13'b0110011111011: out = 1'b0;
        13'b0110011111100: out = 1'b0;
        13'b0110011111101: out = 1'b0;
        13'b0110011111110: out = 1'b0;
        13'b0110011111111: out = 1'b0;
        13'b0110100000000: out = 1'b0;
        13'b0110100000001: out = 1'b0;
        13'b0110100000010: out = 1'b0;
        13'b0110100000011: out = 1'b0;
        13'b0110100000100: out = 1'b0;
        13'b0110100000101: out = 1'b0;
        13'b0110100000110: out = 1'b0;
        13'b0110100000111: out = 1'b0;
        13'b0110100001000: out = 1'b0;
        13'b0110100001001: out = 1'b0;
        13'b0110100001010: out = 1'b0;
        13'b0110100001011: out = 1'b0;
        13'b0110100001100: out = 1'b0;
        13'b0110100001101: out = 1'b0;
        13'b0110100001110: out = 1'b0;
        13'b0110100001111: out = 1'b0;
        13'b0110100010000: out = 1'b0;
        13'b0110100010001: out = 1'b0;
        13'b0110100010010: out = 1'b0;
        13'b0110100010011: out = 1'b0;
        13'b0110100010100: out = 1'b0;
        13'b0110100010101: out = 1'b0;
        13'b0110100010110: out = 1'b0;
        13'b0110100010111: out = 1'b0;
        13'b0110100011000: out = 1'b0;
        13'b0110100011001: out = 1'b0;
        13'b0110100011010: out = 1'b0;
        13'b0110100011011: out = 1'b0;
        13'b0110100011100: out = 1'b0;
        13'b0110100011101: out = 1'b0;
        13'b0110100011110: out = 1'b0;
        13'b0110100011111: out = 1'b0;
        13'b0110100100000: out = 1'b0;
        13'b0110100100001: out = 1'b0;
        13'b0110100100010: out = 1'b0;
        13'b0110100100011: out = 1'b0;
        13'b0110100100100: out = 1'b0;
        13'b0110100100101: out = 1'b0;
        13'b0110100100110: out = 1'b0;
        13'b0110100100111: out = 1'b0;
        13'b0110100101000: out = 1'b0;
        13'b0110100101001: out = 1'b0;
        13'b0110100101010: out = 1'b0;
        13'b0110100101011: out = 1'b0;
        13'b0110100101100: out = 1'b0;
        13'b0110100101101: out = 1'b0;
        13'b0110100101110: out = 1'b0;
        13'b0110100101111: out = 1'b0;
        13'b0110100110000: out = 1'b0;
        13'b0110100110001: out = 1'b0;
        13'b0110100110010: out = 1'b0;
        13'b0110100110011: out = 1'b0;
        13'b0110100110100: out = 1'b0;
        13'b0110100110101: out = 1'b0;
        13'b0110100110110: out = 1'b0;
        13'b0110100110111: out = 1'b0;
        13'b0110100111000: out = 1'b0;
        13'b0110100111001: out = 1'b0;
        13'b0110100111010: out = 1'b0;
        13'b0110100111011: out = 1'b0;
        13'b0110100111100: out = 1'b0;
        13'b0110100111101: out = 1'b0;
        13'b0110100111110: out = 1'b0;
        13'b0110100111111: out = 1'b0;
        13'b0110101000000: out = 1'b0;
        13'b0110101000001: out = 1'b0;
        13'b0110101000010: out = 1'b0;
        13'b0110101000011: out = 1'b0;
        13'b0110101000100: out = 1'b0;
        13'b0110101000101: out = 1'b0;
        13'b0110101000110: out = 1'b0;
        13'b0110101000111: out = 1'b0;
        13'b0110101001000: out = 1'b0;
        13'b0110101001001: out = 1'b0;
        13'b0110101001010: out = 1'b0;
        13'b0110101001011: out = 1'b0;
        13'b0110101001100: out = 1'b0;
        13'b0110101001101: out = 1'b0;
        13'b0110101001110: out = 1'b0;
        13'b0110101001111: out = 1'b0;
        13'b0110101010000: out = 1'b0;
        13'b0110101010001: out = 1'b0;
        13'b0110101010010: out = 1'b0;
        13'b0110101010011: out = 1'b0;
        13'b0110101010100: out = 1'b0;
        13'b0110101010101: out = 1'b0;
        13'b0110101010110: out = 1'b0;
        13'b0110101010111: out = 1'b0;
        13'b0110101011000: out = 1'b0;
        13'b0110101011001: out = 1'b0;
        13'b0110101011010: out = 1'b0;
        13'b0110101011011: out = 1'b0;
        13'b0110101011100: out = 1'b0;
        13'b0110101011101: out = 1'b0;
        13'b0110101011110: out = 1'b0;
        13'b0110101011111: out = 1'b0;
        13'b0110101100000: out = 1'b0;
        13'b0110101100001: out = 1'b0;
        13'b0110101100010: out = 1'b0;
        13'b0110101100011: out = 1'b0;
        13'b0110101100100: out = 1'b0;
        13'b0110101100101: out = 1'b0;
        13'b0110101100110: out = 1'b0;
        13'b0110101100111: out = 1'b0;
        13'b0110101101000: out = 1'b0;
        13'b0110101101001: out = 1'b0;
        13'b0110101101010: out = 1'b0;
        13'b0110101101011: out = 1'b0;
        13'b0110101101100: out = 1'b0;
        13'b0110101101101: out = 1'b0;
        13'b0110101101110: out = 1'b0;
        13'b0110101101111: out = 1'b0;
        13'b0110101110000: out = 1'b0;
        13'b0110101110001: out = 1'b0;
        13'b0110101110010: out = 1'b0;
        13'b0110101110011: out = 1'b0;
        13'b0110101110100: out = 1'b0;
        13'b0110101110101: out = 1'b0;
        13'b0110101110110: out = 1'b0;
        13'b0110101110111: out = 1'b0;
        13'b0110101111000: out = 1'b0;
        13'b0110101111001: out = 1'b0;
        13'b0110101111010: out = 1'b0;
        13'b0110101111011: out = 1'b0;
        13'b0110101111100: out = 1'b0;
        13'b0110101111101: out = 1'b0;
        13'b0110101111110: out = 1'b0;
        13'b0110101111111: out = 1'b0;
        13'b0110110000000: out = 1'b0;
        13'b0110110000001: out = 1'b0;
        13'b0110110000010: out = 1'b0;
        13'b0110110000011: out = 1'b0;
        13'b0110110000100: out = 1'b0;
        13'b0110110000101: out = 1'b0;
        13'b0110110000110: out = 1'b0;
        13'b0110110000111: out = 1'b0;
        13'b0110110001000: out = 1'b0;
        13'b0110110001001: out = 1'b0;
        13'b0110110001010: out = 1'b0;
        13'b0110110001011: out = 1'b0;
        13'b0110110001100: out = 1'b0;
        13'b0110110001101: out = 1'b0;
        13'b0110110001110: out = 1'b0;
        13'b0110110001111: out = 1'b0;
        13'b0110110010000: out = 1'b0;
        13'b0110110010001: out = 1'b0;
        13'b0110110010010: out = 1'b0;
        13'b0110110010011: out = 1'b0;
        13'b0110110010100: out = 1'b0;
        13'b0110110010101: out = 1'b0;
        13'b0110110010110: out = 1'b0;
        13'b0110110010111: out = 1'b0;
        13'b0110110011000: out = 1'b0;
        13'b0110110011001: out = 1'b0;
        13'b0110110011010: out = 1'b0;
        13'b0110110011011: out = 1'b0;
        13'b0110110011100: out = 1'b0;
        13'b0110110011101: out = 1'b0;
        13'b0110110011110: out = 1'b0;
        13'b0110110011111: out = 1'b0;
        13'b0110110100000: out = 1'b0;
        13'b0110110100001: out = 1'b0;
        13'b0110110100010: out = 1'b0;
        13'b0110110100011: out = 1'b0;
        13'b0110110100100: out = 1'b0;
        13'b0110110100101: out = 1'b0;
        13'b0110110100110: out = 1'b0;
        13'b0110110100111: out = 1'b0;
        13'b0110110101000: out = 1'b0;
        13'b0110110101001: out = 1'b0;
        13'b0110110101010: out = 1'b0;
        13'b0110110101011: out = 1'b0;
        13'b0110110101100: out = 1'b0;
        13'b0110110101101: out = 1'b0;
        13'b0110110101110: out = 1'b0;
        13'b0110110101111: out = 1'b0;
        13'b0110110110000: out = 1'b0;
        13'b0110110110001: out = 1'b0;
        13'b0110110110010: out = 1'b0;
        13'b0110110110011: out = 1'b0;
        13'b0110110110100: out = 1'b0;
        13'b0110110110101: out = 1'b0;
        13'b0110110110110: out = 1'b0;
        13'b0110110110111: out = 1'b0;
        13'b0110110111000: out = 1'b0;
        13'b0110110111001: out = 1'b0;
        13'b0110110111010: out = 1'b0;
        13'b0110110111011: out = 1'b0;
        13'b0110110111100: out = 1'b0;
        13'b0110110111101: out = 1'b0;
        13'b0110110111110: out = 1'b0;
        13'b0110110111111: out = 1'b0;
        13'b0110111000000: out = 1'b0;
        13'b0110111000001: out = 1'b0;
        13'b0110111000010: out = 1'b0;
        13'b0110111000011: out = 1'b0;
        13'b0110111000100: out = 1'b0;
        13'b0110111000101: out = 1'b0;
        13'b0110111000110: out = 1'b0;
        13'b0110111000111: out = 1'b0;
        13'b0110111001000: out = 1'b0;
        13'b0110111001001: out = 1'b0;
        13'b0110111001010: out = 1'b0;
        13'b0110111001011: out = 1'b0;
        13'b0110111001100: out = 1'b0;
        13'b0110111001101: out = 1'b0;
        13'b0110111001110: out = 1'b0;
        13'b0110111001111: out = 1'b0;
        13'b0110111010000: out = 1'b0;
        13'b0110111010001: out = 1'b0;
        13'b0110111010010: out = 1'b0;
        13'b0110111010011: out = 1'b0;
        13'b0110111010100: out = 1'b0;
        13'b0110111010101: out = 1'b0;
        13'b0110111010110: out = 1'b0;
        13'b0110111010111: out = 1'b0;
        13'b0110111011000: out = 1'b0;
        13'b0110111011001: out = 1'b0;
        13'b0110111011010: out = 1'b0;
        13'b0110111011011: out = 1'b0;
        13'b0110111011100: out = 1'b0;
        13'b0110111011101: out = 1'b0;
        13'b0110111011110: out = 1'b0;
        13'b0110111011111: out = 1'b0;
        13'b0110111100000: out = 1'b0;
        13'b0110111100001: out = 1'b0;
        13'b0110111100010: out = 1'b0;
        13'b0110111100011: out = 1'b0;
        13'b0110111100100: out = 1'b0;
        13'b0110111100101: out = 1'b0;
        13'b0110111100110: out = 1'b0;
        13'b0110111100111: out = 1'b0;
        13'b0110111101000: out = 1'b0;
        13'b0110111101001: out = 1'b0;
        13'b0110111101010: out = 1'b0;
        13'b0110111101011: out = 1'b0;
        13'b0110111101100: out = 1'b0;
        13'b0110111101101: out = 1'b0;
        13'b0110111101110: out = 1'b0;
        13'b0110111101111: out = 1'b0;
        13'b0110111110000: out = 1'b0;
        13'b0110111110001: out = 1'b0;
        13'b0110111110010: out = 1'b0;
        13'b0110111110011: out = 1'b0;
        13'b0110111110100: out = 1'b0;
        13'b0110111110101: out = 1'b0;
        13'b0110111110110: out = 1'b0;
        13'b0110111110111: out = 1'b0;
        13'b0110111111000: out = 1'b0;
        13'b0110111111001: out = 1'b0;
        13'b0110111111010: out = 1'b0;
        13'b0110111111011: out = 1'b0;
        13'b0110111111100: out = 1'b0;
        13'b0110111111101: out = 1'b0;
        13'b0110111111110: out = 1'b0;
        13'b0110111111111: out = 1'b0;
        13'b0111000000000: out = 1'b0;
        13'b0111000000001: out = 1'b0;
        13'b0111000000010: out = 1'b0;
        13'b0111000000011: out = 1'b0;
        13'b0111000000100: out = 1'b0;
        13'b0111000000101: out = 1'b0;
        13'b0111000000110: out = 1'b0;
        13'b0111000000111: out = 1'b0;
        13'b0111000001000: out = 1'b0;
        13'b0111000001001: out = 1'b0;
        13'b0111000001010: out = 1'b0;
        13'b0111000001011: out = 1'b0;
        13'b0111000001100: out = 1'b0;
        13'b0111000001101: out = 1'b0;
        13'b0111000001110: out = 1'b0;
        13'b0111000001111: out = 1'b0;
        13'b0111000010000: out = 1'b0;
        13'b0111000010001: out = 1'b0;
        13'b0111000010010: out = 1'b0;
        13'b0111000010011: out = 1'b0;
        13'b0111000010100: out = 1'b0;
        13'b0111000010101: out = 1'b0;
        13'b0111000010110: out = 1'b0;
        13'b0111000010111: out = 1'b0;
        13'b0111000011000: out = 1'b0;
        13'b0111000011001: out = 1'b0;
        13'b0111000011010: out = 1'b0;
        13'b0111000011011: out = 1'b0;
        13'b0111000011100: out = 1'b0;
        13'b0111000011101: out = 1'b0;
        13'b0111000011110: out = 1'b0;
        13'b0111000011111: out = 1'b0;
        13'b0111000100000: out = 1'b0;
        13'b0111000100001: out = 1'b0;
        13'b0111000100010: out = 1'b0;
        13'b0111000100011: out = 1'b0;
        13'b0111000100100: out = 1'b0;
        13'b0111000100101: out = 1'b0;
        13'b0111000100110: out = 1'b0;
        13'b0111000100111: out = 1'b0;
        13'b0111000101000: out = 1'b0;
        13'b0111000101001: out = 1'b0;
        13'b0111000101010: out = 1'b0;
        13'b0111000101011: out = 1'b0;
        13'b0111000101100: out = 1'b0;
        13'b0111000101101: out = 1'b0;
        13'b0111000101110: out = 1'b0;
        13'b0111000101111: out = 1'b0;
        13'b0111000110000: out = 1'b0;
        13'b0111000110001: out = 1'b0;
        13'b0111000110010: out = 1'b0;
        13'b0111000110011: out = 1'b0;
        13'b0111000110100: out = 1'b0;
        13'b0111000110101: out = 1'b0;
        13'b0111000110110: out = 1'b0;
        13'b0111000110111: out = 1'b0;
        13'b0111000111000: out = 1'b0;
        13'b0111000111001: out = 1'b0;
        13'b0111000111010: out = 1'b0;
        13'b0111000111011: out = 1'b0;
        13'b0111000111100: out = 1'b0;
        13'b0111000111101: out = 1'b0;
        13'b0111000111110: out = 1'b0;
        13'b0111000111111: out = 1'b0;
        13'b0111001000000: out = 1'b0;
        13'b0111001000001: out = 1'b0;
        13'b0111001000010: out = 1'b0;
        13'b0111001000011: out = 1'b0;
        13'b0111001000100: out = 1'b0;
        13'b0111001000101: out = 1'b0;
        13'b0111001000110: out = 1'b0;
        13'b0111001000111: out = 1'b0;
        13'b0111001001000: out = 1'b0;
        13'b0111001001001: out = 1'b0;
        13'b0111001001010: out = 1'b0;
        13'b0111001001011: out = 1'b0;
        13'b0111001001100: out = 1'b0;
        13'b0111001001101: out = 1'b0;
        13'b0111001001110: out = 1'b0;
        13'b0111001001111: out = 1'b0;
        13'b0111001010000: out = 1'b0;
        13'b0111001010001: out = 1'b0;
        13'b0111001010010: out = 1'b0;
        13'b0111001010011: out = 1'b0;
        13'b0111001010100: out = 1'b0;
        13'b0111001010101: out = 1'b0;
        13'b0111001010110: out = 1'b0;
        13'b0111001010111: out = 1'b0;
        13'b0111001011000: out = 1'b0;
        13'b0111001011001: out = 1'b0;
        13'b0111001011010: out = 1'b0;
        13'b0111001011011: out = 1'b0;
        13'b0111001011100: out = 1'b0;
        13'b0111001011101: out = 1'b0;
        13'b0111001011110: out = 1'b0;
        13'b0111001011111: out = 1'b0;
        13'b0111001100000: out = 1'b0;
        13'b0111001100001: out = 1'b0;
        13'b0111001100010: out = 1'b0;
        13'b0111001100011: out = 1'b0;
        13'b0111001100100: out = 1'b0;
        13'b0111001100101: out = 1'b0;
        13'b0111001100110: out = 1'b0;
        13'b0111001100111: out = 1'b0;
        13'b0111001101000: out = 1'b0;
        13'b0111001101001: out = 1'b0;
        13'b0111001101010: out = 1'b0;
        13'b0111001101011: out = 1'b0;
        13'b0111001101100: out = 1'b0;
        13'b0111001101101: out = 1'b0;
        13'b0111001101110: out = 1'b0;
        13'b0111001101111: out = 1'b0;
        13'b0111001110000: out = 1'b0;
        13'b0111001110001: out = 1'b0;
        13'b0111001110010: out = 1'b0;
        13'b0111001110011: out = 1'b0;
        13'b0111001110100: out = 1'b0;
        13'b0111001110101: out = 1'b0;
        13'b0111001110110: out = 1'b0;
        13'b0111001110111: out = 1'b0;
        13'b0111001111000: out = 1'b0;
        13'b0111001111001: out = 1'b0;
        13'b0111001111010: out = 1'b0;
        13'b0111001111011: out = 1'b0;
        13'b0111001111100: out = 1'b0;
        13'b0111001111101: out = 1'b0;
        13'b0111001111110: out = 1'b0;
        13'b0111001111111: out = 1'b0;
        13'b0111010000000: out = 1'b0;
        13'b0111010000001: out = 1'b0;
        13'b0111010000010: out = 1'b0;
        13'b0111010000011: out = 1'b0;
        13'b0111010000100: out = 1'b0;
        13'b0111010000101: out = 1'b0;
        13'b0111010000110: out = 1'b0;
        13'b0111010000111: out = 1'b0;
        13'b0111010001000: out = 1'b0;
        13'b0111010001001: out = 1'b0;
        13'b0111010001010: out = 1'b0;
        13'b0111010001011: out = 1'b0;
        13'b0111010001100: out = 1'b0;
        13'b0111010001101: out = 1'b0;
        13'b0111010001110: out = 1'b0;
        13'b0111010001111: out = 1'b0;
        13'b0111010010000: out = 1'b0;
        13'b0111010010001: out = 1'b0;
        13'b0111010010010: out = 1'b0;
        13'b0111010010011: out = 1'b0;
        13'b0111010010100: out = 1'b0;
        13'b0111010010101: out = 1'b0;
        13'b0111010010110: out = 1'b0;
        13'b0111010010111: out = 1'b0;
        13'b0111010011000: out = 1'b0;
        13'b0111010011001: out = 1'b0;
        13'b0111010011010: out = 1'b0;
        13'b0111010011011: out = 1'b0;
        13'b0111010011100: out = 1'b0;
        13'b0111010011101: out = 1'b0;
        13'b0111010011110: out = 1'b0;
        13'b0111010011111: out = 1'b0;
        13'b0111010100000: out = 1'b0;
        13'b0111010100001: out = 1'b0;
        13'b0111010100010: out = 1'b0;
        13'b0111010100011: out = 1'b0;
        13'b0111010100100: out = 1'b0;
        13'b0111010100101: out = 1'b0;
        13'b0111010100110: out = 1'b0;
        13'b0111010100111: out = 1'b0;
        13'b0111010101000: out = 1'b0;
        13'b0111010101001: out = 1'b0;
        13'b0111010101010: out = 1'b0;
        13'b0111010101011: out = 1'b0;
        13'b0111010101100: out = 1'b0;
        13'b0111010101101: out = 1'b0;
        13'b0111010101110: out = 1'b0;
        13'b0111010101111: out = 1'b0;
        13'b0111010110000: out = 1'b0;
        13'b0111010110001: out = 1'b0;
        13'b0111010110010: out = 1'b0;
        13'b0111010110011: out = 1'b0;
        13'b0111010110100: out = 1'b0;
        13'b0111010110101: out = 1'b0;
        13'b0111010110110: out = 1'b0;
        13'b0111010110111: out = 1'b0;
        13'b0111010111000: out = 1'b0;
        13'b0111010111001: out = 1'b0;
        13'b0111010111010: out = 1'b0;
        13'b0111010111011: out = 1'b0;
        13'b0111010111100: out = 1'b0;
        13'b0111010111101: out = 1'b0;
        13'b0111010111110: out = 1'b0;
        13'b0111010111111: out = 1'b0;
        13'b0111011000000: out = 1'b0;
        13'b0111011000001: out = 1'b0;
        13'b0111011000010: out = 1'b0;
        13'b0111011000011: out = 1'b0;
        13'b0111011000100: out = 1'b0;
        13'b0111011000101: out = 1'b0;
        13'b0111011000110: out = 1'b0;
        13'b0111011000111: out = 1'b0;
        13'b0111011001000: out = 1'b0;
        13'b0111011001001: out = 1'b0;
        13'b0111011001010: out = 1'b0;
        13'b0111011001011: out = 1'b0;
        13'b0111011001100: out = 1'b0;
        13'b0111011001101: out = 1'b0;
        13'b0111011001110: out = 1'b0;
        13'b0111011001111: out = 1'b0;
        13'b0111011010000: out = 1'b0;
        13'b0111011010001: out = 1'b0;
        13'b0111011010010: out = 1'b0;
        13'b0111011010011: out = 1'b0;
        13'b0111011010100: out = 1'b0;
        13'b0111011010101: out = 1'b0;
        13'b0111011010110: out = 1'b0;
        13'b0111011010111: out = 1'b0;
        13'b0111011011000: out = 1'b0;
        13'b0111011011001: out = 1'b0;
        13'b0111011011010: out = 1'b0;
        13'b0111011011011: out = 1'b0;
        13'b0111011011100: out = 1'b0;
        13'b0111011011101: out = 1'b0;
        13'b0111011011110: out = 1'b0;
        13'b0111011011111: out = 1'b0;
        13'b0111011100000: out = 1'b0;
        13'b0111011100001: out = 1'b0;
        13'b0111011100010: out = 1'b0;
        13'b0111011100011: out = 1'b0;
        13'b0111011100100: out = 1'b0;
        13'b0111011100101: out = 1'b0;
        13'b0111011100110: out = 1'b0;
        13'b0111011100111: out = 1'b0;
        13'b0111011101000: out = 1'b0;
        13'b0111011101001: out = 1'b0;
        13'b0111011101010: out = 1'b0;
        13'b0111011101011: out = 1'b0;
        13'b0111011101100: out = 1'b0;
        13'b0111011101101: out = 1'b0;
        13'b0111011101110: out = 1'b0;
        13'b0111011101111: out = 1'b0;
        13'b0111011110000: out = 1'b0;
        13'b0111011110001: out = 1'b0;
        13'b0111011110010: out = 1'b0;
        13'b0111011110011: out = 1'b0;
        13'b0111011110100: out = 1'b0;
        13'b0111011110101: out = 1'b0;
        13'b0111011110110: out = 1'b0;
        13'b0111011110111: out = 1'b0;
        13'b0111011111000: out = 1'b0;
        13'b0111011111001: out = 1'b0;
        13'b0111011111010: out = 1'b0;
        13'b0111011111011: out = 1'b0;
        13'b0111011111100: out = 1'b0;
        13'b0111011111101: out = 1'b0;
        13'b0111011111110: out = 1'b0;
        13'b0111011111111: out = 1'b0;
        13'b0111100000000: out = 1'b0;
        13'b0111100000001: out = 1'b0;
        13'b0111100000010: out = 1'b0;
        13'b0111100000011: out = 1'b0;
        13'b0111100000100: out = 1'b0;
        13'b0111100000101: out = 1'b0;
        13'b0111100000110: out = 1'b0;
        13'b0111100000111: out = 1'b0;
        13'b0111100001000: out = 1'b0;
        13'b0111100001001: out = 1'b0;
        13'b0111100001010: out = 1'b0;
        13'b0111100001011: out = 1'b0;
        13'b0111100001100: out = 1'b0;
        13'b0111100001101: out = 1'b0;
        13'b0111100001110: out = 1'b0;
        13'b0111100001111: out = 1'b0;
        13'b0111100010000: out = 1'b0;
        13'b0111100010001: out = 1'b0;
        13'b0111100010010: out = 1'b0;
        13'b0111100010011: out = 1'b0;
        13'b0111100010100: out = 1'b0;
        13'b0111100010101: out = 1'b0;
        13'b0111100010110: out = 1'b0;
        13'b0111100010111: out = 1'b0;
        13'b0111100011000: out = 1'b0;
        13'b0111100011001: out = 1'b0;
        13'b0111100011010: out = 1'b0;
        13'b0111100011011: out = 1'b0;
        13'b0111100011100: out = 1'b0;
        13'b0111100011101: out = 1'b0;
        13'b0111100011110: out = 1'b0;
        13'b0111100011111: out = 1'b0;
        13'b0111100100000: out = 1'b0;
        13'b0111100100001: out = 1'b0;
        13'b0111100100010: out = 1'b0;
        13'b0111100100011: out = 1'b0;
        13'b0111100100100: out = 1'b0;
        13'b0111100100101: out = 1'b0;
        13'b0111100100110: out = 1'b0;
        13'b0111100100111: out = 1'b0;
        13'b0111100101000: out = 1'b0;
        13'b0111100101001: out = 1'b0;
        13'b0111100101010: out = 1'b0;
        13'b0111100101011: out = 1'b0;
        13'b0111100101100: out = 1'b0;
        13'b0111100101101: out = 1'b0;
        13'b0111100101110: out = 1'b0;
        13'b0111100101111: out = 1'b0;
        13'b0111100110000: out = 1'b0;
        13'b0111100110001: out = 1'b0;
        13'b0111100110010: out = 1'b0;
        13'b0111100110011: out = 1'b0;
        13'b0111100110100: out = 1'b0;
        13'b0111100110101: out = 1'b0;
        13'b0111100110110: out = 1'b0;
        13'b0111100110111: out = 1'b0;
        13'b0111100111000: out = 1'b0;
        13'b0111100111001: out = 1'b0;
        13'b0111100111010: out = 1'b0;
        13'b0111100111011: out = 1'b0;
        13'b0111100111100: out = 1'b0;
        13'b0111100111101: out = 1'b0;
        13'b0111100111110: out = 1'b0;
        13'b0111100111111: out = 1'b0;
        13'b0111101000000: out = 1'b0;
        13'b0111101000001: out = 1'b0;
        13'b0111101000010: out = 1'b0;
        13'b0111101000011: out = 1'b0;
        13'b0111101000100: out = 1'b0;
        13'b0111101000101: out = 1'b0;
        13'b0111101000110: out = 1'b0;
        13'b0111101000111: out = 1'b0;
        13'b0111101001000: out = 1'b0;
        13'b0111101001001: out = 1'b0;
        13'b0111101001010: out = 1'b0;
        13'b0111101001011: out = 1'b0;
        13'b0111101001100: out = 1'b0;
        13'b0111101001101: out = 1'b0;
        13'b0111101001110: out = 1'b0;
        13'b0111101001111: out = 1'b0;
        13'b0111101010000: out = 1'b0;
        13'b0111101010001: out = 1'b0;
        13'b0111101010010: out = 1'b0;
        13'b0111101010011: out = 1'b0;
        13'b0111101010100: out = 1'b0;
        13'b0111101010101: out = 1'b0;
        13'b0111101010110: out = 1'b0;
        13'b0111101010111: out = 1'b0;
        13'b0111101011000: out = 1'b0;
        13'b0111101011001: out = 1'b0;
        13'b0111101011010: out = 1'b0;
        13'b0111101011011: out = 1'b0;
        13'b0111101011100: out = 1'b0;
        13'b0111101011101: out = 1'b0;
        13'b0111101011110: out = 1'b0;
        13'b0111101011111: out = 1'b0;
        13'b0111101100000: out = 1'b0;
        13'b0111101100001: out = 1'b0;
        13'b0111101100010: out = 1'b0;
        13'b0111101100011: out = 1'b0;
        13'b0111101100100: out = 1'b0;
        13'b0111101100101: out = 1'b0;
        13'b0111101100110: out = 1'b0;
        13'b0111101100111: out = 1'b0;
        13'b0111101101000: out = 1'b0;
        13'b0111101101001: out = 1'b0;
        13'b0111101101010: out = 1'b0;
        13'b0111101101011: out = 1'b0;
        13'b0111101101100: out = 1'b0;
        13'b0111101101101: out = 1'b0;
        13'b0111101101110: out = 1'b0;
        13'b0111101101111: out = 1'b0;
        13'b0111101110000: out = 1'b0;
        13'b0111101110001: out = 1'b0;
        13'b0111101110010: out = 1'b0;
        13'b0111101110011: out = 1'b0;
        13'b0111101110100: out = 1'b0;
        13'b0111101110101: out = 1'b0;
        13'b0111101110110: out = 1'b0;
        13'b0111101110111: out = 1'b0;
        13'b0111101111000: out = 1'b0;
        13'b0111101111001: out = 1'b0;
        13'b0111101111010: out = 1'b0;
        13'b0111101111011: out = 1'b0;
        13'b0111101111100: out = 1'b0;
        13'b0111101111101: out = 1'b0;
        13'b0111101111110: out = 1'b0;
        13'b0111101111111: out = 1'b0;
        13'b0111110000000: out = 1'b0;
        13'b0111110000001: out = 1'b0;
        13'b0111110000010: out = 1'b0;
        13'b0111110000011: out = 1'b0;
        13'b0111110000100: out = 1'b0;
        13'b0111110000101: out = 1'b0;
        13'b0111110000110: out = 1'b0;
        13'b0111110000111: out = 1'b0;
        13'b0111110001000: out = 1'b0;
        13'b0111110001001: out = 1'b0;
        13'b0111110001010: out = 1'b0;
        13'b0111110001011: out = 1'b0;
        13'b0111110001100: out = 1'b0;
        13'b0111110001101: out = 1'b0;
        13'b0111110001110: out = 1'b0;
        13'b0111110001111: out = 1'b0;
        13'b0111110010000: out = 1'b0;
        13'b0111110010001: out = 1'b0;
        13'b0111110010010: out = 1'b0;
        13'b0111110010011: out = 1'b0;
        13'b0111110010100: out = 1'b0;
        13'b0111110010101: out = 1'b0;
        13'b0111110010110: out = 1'b0;
        13'b0111110010111: out = 1'b0;
        13'b0111110011000: out = 1'b0;
        13'b0111110011001: out = 1'b0;
        13'b0111110011010: out = 1'b0;
        13'b0111110011011: out = 1'b0;
        13'b0111110011100: out = 1'b0;
        13'b0111110011101: out = 1'b0;
        13'b0111110011110: out = 1'b0;
        13'b0111110011111: out = 1'b0;
        13'b0111110100000: out = 1'b0;
        13'b0111110100001: out = 1'b0;
        13'b0111110100010: out = 1'b0;
        13'b0111110100011: out = 1'b0;
        13'b0111110100100: out = 1'b0;
        13'b0111110100101: out = 1'b0;
        13'b0111110100110: out = 1'b0;
        13'b0111110100111: out = 1'b0;
        13'b0111110101000: out = 1'b0;
        13'b0111110101001: out = 1'b0;
        13'b0111110101010: out = 1'b0;
        13'b0111110101011: out = 1'b0;
        13'b0111110101100: out = 1'b0;
        13'b0111110101101: out = 1'b0;
        13'b0111110101110: out = 1'b0;
        13'b0111110101111: out = 1'b0;
        13'b0111110110000: out = 1'b0;
        13'b0111110110001: out = 1'b0;
        13'b0111110110010: out = 1'b0;
        13'b0111110110011: out = 1'b0;
        13'b0111110110100: out = 1'b0;
        13'b0111110110101: out = 1'b0;
        13'b0111110110110: out = 1'b0;
        13'b0111110110111: out = 1'b0;
        13'b0111110111000: out = 1'b0;
        13'b0111110111001: out = 1'b0;
        13'b0111110111010: out = 1'b0;
        13'b0111110111011: out = 1'b0;
        13'b0111110111100: out = 1'b0;
        13'b0111110111101: out = 1'b0;
        13'b0111110111110: out = 1'b0;
        13'b0111110111111: out = 1'b0;
        13'b0111111000000: out = 1'b0;
        13'b0111111000001: out = 1'b0;
        13'b0111111000010: out = 1'b0;
        13'b0111111000011: out = 1'b0;
        13'b0111111000100: out = 1'b0;
        13'b0111111000101: out = 1'b0;
        13'b0111111000110: out = 1'b0;
        13'b0111111000111: out = 1'b0;
        13'b0111111001000: out = 1'b0;
        13'b0111111001001: out = 1'b0;
        13'b0111111001010: out = 1'b0;
        13'b0111111001011: out = 1'b0;
        13'b0111111001100: out = 1'b0;
        13'b0111111001101: out = 1'b0;
        13'b0111111001110: out = 1'b0;
        13'b0111111001111: out = 1'b0;
        13'b0111111010000: out = 1'b0;
        13'b0111111010001: out = 1'b0;
        13'b0111111010010: out = 1'b0;
        13'b0111111010011: out = 1'b0;
        13'b0111111010100: out = 1'b0;
        13'b0111111010101: out = 1'b0;
        13'b0111111010110: out = 1'b0;
        13'b0111111010111: out = 1'b0;
        13'b0111111011000: out = 1'b0;
        13'b0111111011001: out = 1'b0;
        13'b0111111011010: out = 1'b0;
        13'b0111111011011: out = 1'b0;
        13'b0111111011100: out = 1'b0;
        13'b0111111011101: out = 1'b0;
        13'b0111111011110: out = 1'b0;
        13'b0111111011111: out = 1'b0;
        13'b0111111100000: out = 1'b0;
        13'b0111111100001: out = 1'b0;
        13'b0111111100010: out = 1'b0;
        13'b0111111100011: out = 1'b0;
        13'b0111111100100: out = 1'b0;
        13'b0111111100101: out = 1'b0;
        13'b0111111100110: out = 1'b0;
        13'b0111111100111: out = 1'b0;
        13'b0111111101000: out = 1'b0;
        13'b0111111101001: out = 1'b0;
        13'b0111111101010: out = 1'b0;
        13'b0111111101011: out = 1'b0;
        13'b0111111101100: out = 1'b0;
        13'b0111111101101: out = 1'b0;
        13'b0111111101110: out = 1'b0;
        13'b0111111101111: out = 1'b0;
        13'b0111111110000: out = 1'b0;
        13'b0111111110001: out = 1'b0;
        13'b0111111110010: out = 1'b0;
        13'b0111111110011: out = 1'b0;
        13'b0111111110100: out = 1'b0;
        13'b0111111110101: out = 1'b0;
        13'b0111111110110: out = 1'b0;
        13'b0111111110111: out = 1'b0;
        13'b0111111111000: out = 1'b0;
        13'b0111111111001: out = 1'b0;
        13'b0111111111010: out = 1'b0;
        13'b0111111111011: out = 1'b0;
        13'b0111111111100: out = 1'b0;
        13'b0111111111101: out = 1'b0;
        13'b0111111111110: out = 1'b0;
        13'b0111111111111: out = 1'b0;
        13'b1000000000000: out = 1'b0;
        13'b1000000000001: out = 1'b0;
        13'b1000000000010: out = 1'b0;
        13'b1000000000011: out = 1'b0;
        13'b1000000000100: out = 1'b0;
        13'b1000000000101: out = 1'b0;
        13'b1000000000110: out = 1'b0;
        13'b1000000000111: out = 1'b0;
        13'b1000000001000: out = 1'b0;
        13'b1000000001001: out = 1'b0;
        13'b1000000001010: out = 1'b0;
        13'b1000000001011: out = 1'b0;
        13'b1000000001100: out = 1'b0;
        13'b1000000001101: out = 1'b0;
        13'b1000000001110: out = 1'b0;
        13'b1000000001111: out = 1'b0;
        13'b1000000010000: out = 1'b0;
        13'b1000000010001: out = 1'b0;
        13'b1000000010010: out = 1'b0;
        13'b1000000010011: out = 1'b0;
        13'b1000000010100: out = 1'b0;
        13'b1000000010101: out = 1'b0;
        13'b1000000010110: out = 1'b0;
        13'b1000000010111: out = 1'b0;
        13'b1000000011000: out = 1'b0;
        13'b1000000011001: out = 1'b0;
        13'b1000000011010: out = 1'b0;
        13'b1000000011011: out = 1'b0;
        13'b1000000011100: out = 1'b0;
        13'b1000000011101: out = 1'b0;
        13'b1000000011110: out = 1'b0;
        13'b1000000011111: out = 1'b0;
        13'b1000000100000: out = 1'b0;
        13'b1000000100001: out = 1'b0;
        13'b1000000100010: out = 1'b0;
        13'b1000000100011: out = 1'b0;
        13'b1000000100100: out = 1'b0;
        13'b1000000100101: out = 1'b0;
        13'b1000000100110: out = 1'b0;
        13'b1000000100111: out = 1'b0;
        13'b1000000101000: out = 1'b0;
        13'b1000000101001: out = 1'b0;
        13'b1000000101010: out = 1'b0;
        13'b1000000101011: out = 1'b0;
        13'b1000000101100: out = 1'b0;
        13'b1000000101101: out = 1'b0;
        13'b1000000101110: out = 1'b0;
        13'b1000000101111: out = 1'b0;
        13'b1000000110000: out = 1'b0;
        13'b1000000110001: out = 1'b0;
        13'b1000000110010: out = 1'b0;
        13'b1000000110011: out = 1'b0;
        13'b1000000110100: out = 1'b0;
        13'b1000000110101: out = 1'b0;
        13'b1000000110110: out = 1'b0;
        13'b1000000110111: out = 1'b0;
        13'b1000000111000: out = 1'b0;
        13'b1000000111001: out = 1'b0;
        13'b1000000111010: out = 1'b0;
        13'b1000000111011: out = 1'b0;
        13'b1000000111100: out = 1'b0;
        13'b1000000111101: out = 1'b0;
        13'b1000000111110: out = 1'b0;
        13'b1000000111111: out = 1'b0;
        13'b1000001000000: out = 1'b0;
        13'b1000001000001: out = 1'b0;
        13'b1000001000010: out = 1'b0;
        13'b1000001000011: out = 1'b0;
        13'b1000001000100: out = 1'b0;
        13'b1000001000101: out = 1'b0;
        13'b1000001000110: out = 1'b0;
        13'b1000001000111: out = 1'b0;
        13'b1000001001000: out = 1'b0;
        13'b1000001001001: out = 1'b0;
        13'b1000001001010: out = 1'b0;
        13'b1000001001011: out = 1'b0;
        13'b1000001001100: out = 1'b0;
        13'b1000001001101: out = 1'b0;
        13'b1000001001110: out = 1'b0;
        13'b1000001001111: out = 1'b0;
        13'b1000001010000: out = 1'b0;
        13'b1000001010001: out = 1'b0;
        13'b1000001010010: out = 1'b0;
        13'b1000001010011: out = 1'b0;
        13'b1000001010100: out = 1'b0;
        13'b1000001010101: out = 1'b0;
        13'b1000001010110: out = 1'b0;
        13'b1000001010111: out = 1'b0;
        13'b1000001011000: out = 1'b0;
        13'b1000001011001: out = 1'b0;
        13'b1000001011010: out = 1'b0;
        13'b1000001011011: out = 1'b0;
        13'b1000001011100: out = 1'b0;
        13'b1000001011101: out = 1'b0;
        13'b1000001011110: out = 1'b0;
        13'b1000001011111: out = 1'b0;
        13'b1000001100000: out = 1'b0;
        13'b1000001100001: out = 1'b0;
        13'b1000001100010: out = 1'b0;
        13'b1000001100011: out = 1'b0;
        13'b1000001100100: out = 1'b0;
        13'b1000001100101: out = 1'b0;
        13'b1000001100110: out = 1'b0;
        13'b1000001100111: out = 1'b0;
        13'b1000001101000: out = 1'b0;
        13'b1000001101001: out = 1'b0;
        13'b1000001101010: out = 1'b0;
        13'b1000001101011: out = 1'b0;
        13'b1000001101100: out = 1'b0;
        13'b1000001101101: out = 1'b0;
        13'b1000001101110: out = 1'b0;
        13'b1000001101111: out = 1'b0;
        13'b1000001110000: out = 1'b0;
        13'b1000001110001: out = 1'b0;
        13'b1000001110010: out = 1'b0;
        13'b1000001110011: out = 1'b0;
        13'b1000001110100: out = 1'b0;
        13'b1000001110101: out = 1'b0;
        13'b1000001110110: out = 1'b0;
        13'b1000001110111: out = 1'b0;
        13'b1000001111000: out = 1'b0;
        13'b1000001111001: out = 1'b0;
        13'b1000001111010: out = 1'b0;
        13'b1000001111011: out = 1'b0;
        13'b1000001111100: out = 1'b0;
        13'b1000001111101: out = 1'b0;
        13'b1000001111110: out = 1'b0;
        13'b1000001111111: out = 1'b0;
        13'b1000010000000: out = 1'b0;
        13'b1000010000001: out = 1'b0;
        13'b1000010000010: out = 1'b0;
        13'b1000010000011: out = 1'b0;
        13'b1000010000100: out = 1'b0;
        13'b1000010000101: out = 1'b0;
        13'b1000010000110: out = 1'b0;
        13'b1000010000111: out = 1'b0;
        13'b1000010001000: out = 1'b0;
        13'b1000010001001: out = 1'b0;
        13'b1000010001010: out = 1'b0;
        13'b1000010001011: out = 1'b0;
        13'b1000010001100: out = 1'b0;
        13'b1000010001101: out = 1'b0;
        13'b1000010001110: out = 1'b0;
        13'b1000010001111: out = 1'b0;
        13'b1000010010000: out = 1'b0;
        13'b1000010010001: out = 1'b0;
        13'b1000010010010: out = 1'b0;
        13'b1000010010011: out = 1'b0;
        13'b1000010010100: out = 1'b0;
        13'b1000010010101: out = 1'b0;
        13'b1000010010110: out = 1'b0;
        13'b1000010010111: out = 1'b0;
        13'b1000010011000: out = 1'b0;
        13'b1000010011001: out = 1'b0;
        13'b1000010011010: out = 1'b0;
        13'b1000010011011: out = 1'b0;
        13'b1000010011100: out = 1'b0;
        13'b1000010011101: out = 1'b0;
        13'b1000010011110: out = 1'b0;
        13'b1000010011111: out = 1'b0;
        13'b1000010100000: out = 1'b0;
        13'b1000010100001: out = 1'b0;
        13'b1000010100010: out = 1'b0;
        13'b1000010100011: out = 1'b0;
        13'b1000010100100: out = 1'b0;
        13'b1000010100101: out = 1'b0;
        13'b1000010100110: out = 1'b0;
        13'b1000010100111: out = 1'b0;
        13'b1000010101000: out = 1'b0;
        13'b1000010101001: out = 1'b0;
        13'b1000010101010: out = 1'b0;
        13'b1000010101011: out = 1'b0;
        13'b1000010101100: out = 1'b0;
        13'b1000010101101: out = 1'b0;
        13'b1000010101110: out = 1'b0;
        13'b1000010101111: out = 1'b0;
        13'b1000010110000: out = 1'b0;
        13'b1000010110001: out = 1'b0;
        13'b1000010110010: out = 1'b0;
        13'b1000010110011: out = 1'b0;
        13'b1000010110100: out = 1'b0;
        13'b1000010110101: out = 1'b0;
        13'b1000010110110: out = 1'b0;
        13'b1000010110111: out = 1'b0;
        13'b1000010111000: out = 1'b0;
        13'b1000010111001: out = 1'b0;
        13'b1000010111010: out = 1'b0;
        13'b1000010111011: out = 1'b0;
        13'b1000010111100: out = 1'b0;
        13'b1000010111101: out = 1'b0;
        13'b1000010111110: out = 1'b0;
        13'b1000010111111: out = 1'b0;
        13'b1000011000000: out = 1'b0;
        13'b1000011000001: out = 1'b0;
        13'b1000011000010: out = 1'b0;
        13'b1000011000011: out = 1'b0;
        13'b1000011000100: out = 1'b0;
        13'b1000011000101: out = 1'b0;
        13'b1000011000110: out = 1'b0;
        13'b1000011000111: out = 1'b0;
        13'b1000011001000: out = 1'b0;
        13'b1000011001001: out = 1'b0;
        13'b1000011001010: out = 1'b0;
        13'b1000011001011: out = 1'b0;
        13'b1000011001100: out = 1'b0;
        13'b1000011001101: out = 1'b0;
        13'b1000011001110: out = 1'b0;
        13'b1000011001111: out = 1'b0;
        13'b1000011010000: out = 1'b0;
        13'b1000011010001: out = 1'b0;
        13'b1000011010010: out = 1'b0;
        13'b1000011010011: out = 1'b0;
        13'b1000011010100: out = 1'b0;
        13'b1000011010101: out = 1'b0;
        13'b1000011010110: out = 1'b0;
        13'b1000011010111: out = 1'b0;
        13'b1000011011000: out = 1'b0;
        13'b1000011011001: out = 1'b0;
        13'b1000011011010: out = 1'b0;
        13'b1000011011011: out = 1'b0;
        13'b1000011011100: out = 1'b0;
        13'b1000011011101: out = 1'b0;
        13'b1000011011110: out = 1'b0;
        13'b1000011011111: out = 1'b0;
        13'b1000011100000: out = 1'b0;
        13'b1000011100001: out = 1'b0;
        13'b1000011100010: out = 1'b0;
        13'b1000011100011: out = 1'b0;
        13'b1000011100100: out = 1'b0;
        13'b1000011100101: out = 1'b0;
        13'b1000011100110: out = 1'b0;
        13'b1000011100111: out = 1'b0;
        13'b1000011101000: out = 1'b0;
        13'b1000011101001: out = 1'b0;
        13'b1000011101010: out = 1'b0;
        13'b1000011101011: out = 1'b0;
        13'b1000011101100: out = 1'b0;
        13'b1000011101101: out = 1'b0;
        13'b1000011101110: out = 1'b0;
        13'b1000011101111: out = 1'b0;
        13'b1000011110000: out = 1'b0;
        13'b1000011110001: out = 1'b0;
        13'b1000011110010: out = 1'b0;
        13'b1000011110011: out = 1'b0;
        13'b1000011110100: out = 1'b0;
        13'b1000011110101: out = 1'b0;
        13'b1000011110110: out = 1'b0;
        13'b1000011110111: out = 1'b0;
        13'b1000011111000: out = 1'b0;
        13'b1000011111001: out = 1'b0;
        13'b1000011111010: out = 1'b0;
        13'b1000011111011: out = 1'b0;
        13'b1000011111100: out = 1'b0;
        13'b1000011111101: out = 1'b0;
        13'b1000011111110: out = 1'b0;
        13'b1000011111111: out = 1'b0;
        13'b1000100000000: out = 1'b0;
        13'b1000100000001: out = 1'b0;
        13'b1000100000010: out = 1'b0;
        13'b1000100000011: out = 1'b0;
        13'b1000100000100: out = 1'b0;
        13'b1000100000101: out = 1'b0;
        13'b1000100000110: out = 1'b0;
        13'b1000100000111: out = 1'b0;
        13'b1000100001000: out = 1'b0;
        13'b1000100001001: out = 1'b0;
        13'b1000100001010: out = 1'b0;
        13'b1000100001011: out = 1'b0;
        13'b1000100001100: out = 1'b0;
        13'b1000100001101: out = 1'b0;
        13'b1000100001110: out = 1'b0;
        13'b1000100001111: out = 1'b0;
        13'b1000100010000: out = 1'b0;
        13'b1000100010001: out = 1'b0;
        13'b1000100010010: out = 1'b0;
        13'b1000100010011: out = 1'b0;
        13'b1000100010100: out = 1'b0;
        13'b1000100010101: out = 1'b0;
        13'b1000100010110: out = 1'b0;
        13'b1000100010111: out = 1'b0;
        13'b1000100011000: out = 1'b0;
        13'b1000100011001: out = 1'b0;
        13'b1000100011010: out = 1'b0;
        13'b1000100011011: out = 1'b0;
        13'b1000100011100: out = 1'b0;
        13'b1000100011101: out = 1'b0;
        13'b1000100011110: out = 1'b0;
        13'b1000100011111: out = 1'b0;
        13'b1000100100000: out = 1'b0;
        13'b1000100100001: out = 1'b0;
        13'b1000100100010: out = 1'b0;
        13'b1000100100011: out = 1'b0;
        13'b1000100100100: out = 1'b0;
        13'b1000100100101: out = 1'b0;
        13'b1000100100110: out = 1'b0;
        13'b1000100100111: out = 1'b0;
        13'b1000100101000: out = 1'b0;
        13'b1000100101001: out = 1'b0;
        13'b1000100101010: out = 1'b0;
        13'b1000100101011: out = 1'b0;
        13'b1000100101100: out = 1'b0;
        13'b1000100101101: out = 1'b0;
        13'b1000100101110: out = 1'b0;
        13'b1000100101111: out = 1'b0;
        13'b1000100110000: out = 1'b0;
        13'b1000100110001: out = 1'b0;
        13'b1000100110010: out = 1'b0;
        13'b1000100110011: out = 1'b0;
        13'b1000100110100: out = 1'b0;
        13'b1000100110101: out = 1'b0;
        13'b1000100110110: out = 1'b0;
        13'b1000100110111: out = 1'b0;
        13'b1000100111000: out = 1'b0;
        13'b1000100111001: out = 1'b0;
        13'b1000100111010: out = 1'b0;
        13'b1000100111011: out = 1'b0;
        13'b1000100111100: out = 1'b0;
        13'b1000100111101: out = 1'b0;
        13'b1000100111110: out = 1'b0;
        13'b1000100111111: out = 1'b0;
        13'b1000101000000: out = 1'b0;
        13'b1000101000001: out = 1'b0;
        13'b1000101000010: out = 1'b0;
        13'b1000101000011: out = 1'b0;
        13'b1000101000100: out = 1'b0;
        13'b1000101000101: out = 1'b0;
        13'b1000101000110: out = 1'b0;
        13'b1000101000111: out = 1'b0;
        13'b1000101001000: out = 1'b0;
        13'b1000101001001: out = 1'b0;
        13'b1000101001010: out = 1'b0;
        13'b1000101001011: out = 1'b0;
        13'b1000101001100: out = 1'b0;
        13'b1000101001101: out = 1'b0;
        13'b1000101001110: out = 1'b0;
        13'b1000101001111: out = 1'b0;
        13'b1000101010000: out = 1'b0;
        13'b1000101010001: out = 1'b0;
        13'b1000101010010: out = 1'b0;
        13'b1000101010011: out = 1'b0;
        13'b1000101010100: out = 1'b0;
        13'b1000101010101: out = 1'b0;
        13'b1000101010110: out = 1'b0;
        13'b1000101010111: out = 1'b0;
        13'b1000101011000: out = 1'b0;
        13'b1000101011001: out = 1'b0;
        13'b1000101011010: out = 1'b0;
        13'b1000101011011: out = 1'b0;
        13'b1000101011100: out = 1'b0;
        13'b1000101011101: out = 1'b0;
        13'b1000101011110: out = 1'b0;
        13'b1000101011111: out = 1'b0;
        13'b1000101100000: out = 1'b0;
        13'b1000101100001: out = 1'b0;
        13'b1000101100010: out = 1'b0;
        13'b1000101100011: out = 1'b0;
        13'b1000101100100: out = 1'b0;
        13'b1000101100101: out = 1'b0;
        13'b1000101100110: out = 1'b0;
        13'b1000101100111: out = 1'b0;
        13'b1000101101000: out = 1'b0;
        13'b1000101101001: out = 1'b0;
        13'b1000101101010: out = 1'b0;
        13'b1000101101011: out = 1'b0;
        13'b1000101101100: out = 1'b0;
        13'b1000101101101: out = 1'b0;
        13'b1000101101110: out = 1'b0;
        13'b1000101101111: out = 1'b0;
        13'b1000101110000: out = 1'b0;
        13'b1000101110001: out = 1'b0;
        13'b1000101110010: out = 1'b0;
        13'b1000101110011: out = 1'b0;
        13'b1000101110100: out = 1'b0;
        13'b1000101110101: out = 1'b0;
        13'b1000101110110: out = 1'b0;
        13'b1000101110111: out = 1'b0;
        13'b1000101111000: out = 1'b0;
        13'b1000101111001: out = 1'b0;
        13'b1000101111010: out = 1'b0;
        13'b1000101111011: out = 1'b0;
        13'b1000101111100: out = 1'b0;
        13'b1000101111101: out = 1'b0;
        13'b1000101111110: out = 1'b0;
        13'b1000101111111: out = 1'b0;
        13'b1000110000000: out = 1'b0;
        13'b1000110000001: out = 1'b0;
        13'b1000110000010: out = 1'b0;
        13'b1000110000011: out = 1'b0;
        13'b1000110000100: out = 1'b0;
        13'b1000110000101: out = 1'b0;
        13'b1000110000110: out = 1'b0;
        13'b1000110000111: out = 1'b0;
        13'b1000110001000: out = 1'b0;
        13'b1000110001001: out = 1'b0;
        13'b1000110001010: out = 1'b0;
        13'b1000110001011: out = 1'b0;
        13'b1000110001100: out = 1'b0;
        13'b1000110001101: out = 1'b0;
        13'b1000110001110: out = 1'b0;
        13'b1000110001111: out = 1'b0;
        13'b1000110010000: out = 1'b0;
        13'b1000110010001: out = 1'b0;
        13'b1000110010010: out = 1'b0;
        13'b1000110010011: out = 1'b0;
        13'b1000110010100: out = 1'b0;
        13'b1000110010101: out = 1'b0;
        13'b1000110010110: out = 1'b0;
        13'b1000110010111: out = 1'b0;
        13'b1000110011000: out = 1'b0;
        13'b1000110011001: out = 1'b0;
        13'b1000110011010: out = 1'b0;
        13'b1000110011011: out = 1'b0;
        13'b1000110011100: out = 1'b0;
        13'b1000110011101: out = 1'b0;
        13'b1000110011110: out = 1'b0;
        13'b1000110011111: out = 1'b0;
        13'b1000110100000: out = 1'b0;
        13'b1000110100001: out = 1'b0;
        13'b1000110100010: out = 1'b0;
        13'b1000110100011: out = 1'b0;
        13'b1000110100100: out = 1'b0;
        13'b1000110100101: out = 1'b0;
        13'b1000110100110: out = 1'b0;
        13'b1000110100111: out = 1'b0;
        13'b1000110101000: out = 1'b0;
        13'b1000110101001: out = 1'b0;
        13'b1000110101010: out = 1'b0;
        13'b1000110101011: out = 1'b0;
        13'b1000110101100: out = 1'b0;
        13'b1000110101101: out = 1'b0;
        13'b1000110101110: out = 1'b0;
        13'b1000110101111: out = 1'b0;
        13'b1000110110000: out = 1'b0;
        13'b1000110110001: out = 1'b0;
        13'b1000110110010: out = 1'b0;
        13'b1000110110011: out = 1'b0;
        13'b1000110110100: out = 1'b0;
        13'b1000110110101: out = 1'b0;
        13'b1000110110110: out = 1'b0;
        13'b1000110110111: out = 1'b0;
        13'b1000110111000: out = 1'b0;
        13'b1000110111001: out = 1'b0;
        13'b1000110111010: out = 1'b0;
        13'b1000110111011: out = 1'b0;
        13'b1000110111100: out = 1'b0;
        13'b1000110111101: out = 1'b0;
        13'b1000110111110: out = 1'b0;
        13'b1000110111111: out = 1'b0;
        13'b1000111000000: out = 1'b0;
        13'b1000111000001: out = 1'b0;
        13'b1000111000010: out = 1'b0;
        13'b1000111000011: out = 1'b0;
        13'b1000111000100: out = 1'b0;
        13'b1000111000101: out = 1'b0;
        13'b1000111000110: out = 1'b0;
        13'b1000111000111: out = 1'b0;
        13'b1000111001000: out = 1'b0;
        13'b1000111001001: out = 1'b0;
        13'b1000111001010: out = 1'b0;
        13'b1000111001011: out = 1'b0;
        13'b1000111001100: out = 1'b0;
        13'b1000111001101: out = 1'b0;
        13'b1000111001110: out = 1'b0;
        13'b1000111001111: out = 1'b0;
        13'b1000111010000: out = 1'b0;
        13'b1000111010001: out = 1'b0;
        13'b1000111010010: out = 1'b0;
        13'b1000111010011: out = 1'b0;
        13'b1000111010100: out = 1'b0;
        13'b1000111010101: out = 1'b0;
        13'b1000111010110: out = 1'b0;
        13'b1000111010111: out = 1'b0;
        13'b1000111011000: out = 1'b0;
        13'b1000111011001: out = 1'b0;
        13'b1000111011010: out = 1'b0;
        13'b1000111011011: out = 1'b0;
        13'b1000111011100: out = 1'b0;
        13'b1000111011101: out = 1'b0;
        13'b1000111011110: out = 1'b0;
        13'b1000111011111: out = 1'b0;
        13'b1000111100000: out = 1'b0;
        13'b1000111100001: out = 1'b0;
        13'b1000111100010: out = 1'b0;
        13'b1000111100011: out = 1'b0;
        13'b1000111100100: out = 1'b0;
        13'b1000111100101: out = 1'b0;
        13'b1000111100110: out = 1'b0;
        13'b1000111100111: out = 1'b0;
        13'b1000111101000: out = 1'b0;
        13'b1000111101001: out = 1'b0;
        13'b1000111101010: out = 1'b0;
        13'b1000111101011: out = 1'b0;
        13'b1000111101100: out = 1'b0;
        13'b1000111101101: out = 1'b0;
        13'b1000111101110: out = 1'b0;
        13'b1000111101111: out = 1'b0;
        13'b1000111110000: out = 1'b0;
        13'b1000111110001: out = 1'b0;
        13'b1000111110010: out = 1'b0;
        13'b1000111110011: out = 1'b0;
        13'b1000111110100: out = 1'b0;
        13'b1000111110101: out = 1'b0;
        13'b1000111110110: out = 1'b0;
        13'b1000111110111: out = 1'b0;
        13'b1000111111000: out = 1'b0;
        13'b1000111111001: out = 1'b0;
        13'b1000111111010: out = 1'b0;
        13'b1000111111011: out = 1'b0;
        13'b1000111111100: out = 1'b0;
        13'b1000111111101: out = 1'b0;
        13'b1000111111110: out = 1'b0;
        13'b1000111111111: out = 1'b0;
        13'b1001000000000: out = 1'b0;
        13'b1001000000001: out = 1'b0;
        13'b1001000000010: out = 1'b0;
        13'b1001000000011: out = 1'b0;
        13'b1001000000100: out = 1'b0;
        13'b1001000000101: out = 1'b0;
        13'b1001000000110: out = 1'b0;
        13'b1001000000111: out = 1'b0;
        13'b1001000001000: out = 1'b0;
        13'b1001000001001: out = 1'b0;
        13'b1001000001010: out = 1'b0;
        13'b1001000001011: out = 1'b0;
        13'b1001000001100: out = 1'b0;
        13'b1001000001101: out = 1'b0;
        13'b1001000001110: out = 1'b0;
        13'b1001000001111: out = 1'b0;
        13'b1001000010000: out = 1'b0;
        13'b1001000010001: out = 1'b0;
        13'b1001000010010: out = 1'b0;
        13'b1001000010011: out = 1'b0;
        13'b1001000010100: out = 1'b0;
        13'b1001000010101: out = 1'b0;
        13'b1001000010110: out = 1'b0;
        13'b1001000010111: out = 1'b0;
        13'b1001000011000: out = 1'b0;
        13'b1001000011001: out = 1'b0;
        13'b1001000011010: out = 1'b0;
        13'b1001000011011: out = 1'b0;
        13'b1001000011100: out = 1'b0;
        13'b1001000011101: out = 1'b0;
        13'b1001000011110: out = 1'b0;
        13'b1001000011111: out = 1'b0;
        13'b1001000100000: out = 1'b0;
        13'b1001000100001: out = 1'b0;
        13'b1001000100010: out = 1'b0;
        13'b1001000100011: out = 1'b0;
        13'b1001000100100: out = 1'b0;
        13'b1001000100101: out = 1'b0;
        13'b1001000100110: out = 1'b0;
        13'b1001000100111: out = 1'b0;
        13'b1001000101000: out = 1'b0;
        13'b1001000101001: out = 1'b0;
        13'b1001000101010: out = 1'b0;
        13'b1001000101011: out = 1'b0;
        13'b1001000101100: out = 1'b0;
        13'b1001000101101: out = 1'b0;
        13'b1001000101110: out = 1'b0;
        13'b1001000101111: out = 1'b0;
        13'b1001000110000: out = 1'b0;
        13'b1001000110001: out = 1'b0;
        13'b1001000110010: out = 1'b0;
        13'b1001000110011: out = 1'b0;
        13'b1001000110100: out = 1'b0;
        13'b1001000110101: out = 1'b0;
        13'b1001000110110: out = 1'b0;
        13'b1001000110111: out = 1'b0;
        13'b1001000111000: out = 1'b0;
        13'b1001000111001: out = 1'b0;
        13'b1001000111010: out = 1'b0;
        13'b1001000111011: out = 1'b0;
        13'b1001000111100: out = 1'b0;
        13'b1001000111101: out = 1'b0;
        13'b1001000111110: out = 1'b0;
        13'b1001000111111: out = 1'b0;
        13'b1001001000000: out = 1'b0;
        13'b1001001000001: out = 1'b0;
        13'b1001001000010: out = 1'b0;
        13'b1001001000011: out = 1'b0;
        13'b1001001000100: out = 1'b0;
        13'b1001001000101: out = 1'b0;
        13'b1001001000110: out = 1'b0;
        13'b1001001000111: out = 1'b0;
        13'b1001001001000: out = 1'b0;
        13'b1001001001001: out = 1'b0;
        13'b1001001001010: out = 1'b0;
        13'b1001001001011: out = 1'b0;
        13'b1001001001100: out = 1'b0;
        13'b1001001001101: out = 1'b0;
        13'b1001001001110: out = 1'b0;
        13'b1001001001111: out = 1'b0;
        13'b1001001010000: out = 1'b0;
        13'b1001001010001: out = 1'b0;
        13'b1001001010010: out = 1'b0;
        13'b1001001010011: out = 1'b0;
        13'b1001001010100: out = 1'b0;
        13'b1001001010101: out = 1'b0;
        13'b1001001010110: out = 1'b0;
        13'b1001001010111: out = 1'b0;
        13'b1001001011000: out = 1'b0;
        13'b1001001011001: out = 1'b0;
        13'b1001001011010: out = 1'b0;
        13'b1001001011011: out = 1'b0;
        13'b1001001011100: out = 1'b0;
        13'b1001001011101: out = 1'b0;
        13'b1001001011110: out = 1'b0;
        13'b1001001011111: out = 1'b0;
        13'b1001001100000: out = 1'b0;
        13'b1001001100001: out = 1'b0;
        13'b1001001100010: out = 1'b0;
        13'b1001001100011: out = 1'b0;
        13'b1001001100100: out = 1'b0;
        13'b1001001100101: out = 1'b0;
        13'b1001001100110: out = 1'b0;
        13'b1001001100111: out = 1'b0;
        13'b1001001101000: out = 1'b0;
        13'b1001001101001: out = 1'b0;
        13'b1001001101010: out = 1'b0;
        13'b1001001101011: out = 1'b0;
        13'b1001001101100: out = 1'b0;
        13'b1001001101101: out = 1'b0;
        13'b1001001101110: out = 1'b0;
        13'b1001001101111: out = 1'b0;
        13'b1001001110000: out = 1'b0;
        13'b1001001110001: out = 1'b0;
        13'b1001001110010: out = 1'b0;
        13'b1001001110011: out = 1'b0;
        13'b1001001110100: out = 1'b0;
        13'b1001001110101: out = 1'b0;
        13'b1001001110110: out = 1'b0;
        13'b1001001110111: out = 1'b0;
        13'b1001001111000: out = 1'b0;
        13'b1001001111001: out = 1'b0;
        13'b1001001111010: out = 1'b0;
        13'b1001001111011: out = 1'b0;
        13'b1001001111100: out = 1'b0;
        13'b1001001111101: out = 1'b0;
        13'b1001001111110: out = 1'b0;
        13'b1001001111111: out = 1'b0;
        13'b1001010000000: out = 1'b0;
        13'b1001010000001: out = 1'b0;
        13'b1001010000010: out = 1'b0;
        13'b1001010000011: out = 1'b0;
        13'b1001010000100: out = 1'b0;
        13'b1001010000101: out = 1'b0;
        13'b1001010000110: out = 1'b0;
        13'b1001010000111: out = 1'b0;
        13'b1001010001000: out = 1'b0;
        13'b1001010001001: out = 1'b0;
        13'b1001010001010: out = 1'b0;
        13'b1001010001011: out = 1'b0;
        13'b1001010001100: out = 1'b0;
        13'b1001010001101: out = 1'b0;
        13'b1001010001110: out = 1'b0;
        13'b1001010001111: out = 1'b0;
        13'b1001010010000: out = 1'b0;
        13'b1001010010001: out = 1'b0;
        13'b1001010010010: out = 1'b0;
        13'b1001010010011: out = 1'b0;
        13'b1001010010100: out = 1'b0;
        13'b1001010010101: out = 1'b0;
        13'b1001010010110: out = 1'b0;
        13'b1001010010111: out = 1'b0;
        13'b1001010011000: out = 1'b0;
        13'b1001010011001: out = 1'b0;
        13'b1001010011010: out = 1'b0;
        13'b1001010011011: out = 1'b0;
        13'b1001010011100: out = 1'b0;
        13'b1001010011101: out = 1'b0;
        13'b1001010011110: out = 1'b0;
        13'b1001010011111: out = 1'b0;
        13'b1001010100000: out = 1'b0;
        13'b1001010100001: out = 1'b0;
        13'b1001010100010: out = 1'b0;
        13'b1001010100011: out = 1'b0;
        13'b1001010100100: out = 1'b0;
        13'b1001010100101: out = 1'b0;
        13'b1001010100110: out = 1'b0;
        13'b1001010100111: out = 1'b0;
        13'b1001010101000: out = 1'b0;
        13'b1001010101001: out = 1'b0;
        13'b1001010101010: out = 1'b0;
        13'b1001010101011: out = 1'b0;
        13'b1001010101100: out = 1'b0;
        13'b1001010101101: out = 1'b0;
        13'b1001010101110: out = 1'b0;
        13'b1001010101111: out = 1'b0;
        13'b1001010110000: out = 1'b0;
        13'b1001010110001: out = 1'b0;
        13'b1001010110010: out = 1'b0;
        13'b1001010110011: out = 1'b0;
        13'b1001010110100: out = 1'b0;
        13'b1001010110101: out = 1'b0;
        13'b1001010110110: out = 1'b0;
        13'b1001010110111: out = 1'b0;
        13'b1001010111000: out = 1'b0;
        13'b1001010111001: out = 1'b0;
        13'b1001010111010: out = 1'b0;
        13'b1001010111011: out = 1'b0;
        13'b1001010111100: out = 1'b0;
        13'b1001010111101: out = 1'b0;
        13'b1001010111110: out = 1'b0;
        13'b1001010111111: out = 1'b0;
        13'b1001011000000: out = 1'b0;
        13'b1001011000001: out = 1'b0;
        13'b1001011000010: out = 1'b0;
        13'b1001011000011: out = 1'b0;
        13'b1001011000100: out = 1'b0;
        13'b1001011000101: out = 1'b0;
        13'b1001011000110: out = 1'b0;
        13'b1001011000111: out = 1'b0;
        13'b1001011001000: out = 1'b0;
        13'b1001011001001: out = 1'b0;
        13'b1001011001010: out = 1'b0;
        13'b1001011001011: out = 1'b0;
        13'b1001011001100: out = 1'b0;
        13'b1001011001101: out = 1'b0;
        13'b1001011001110: out = 1'b0;
        13'b1001011001111: out = 1'b0;
        13'b1001011010000: out = 1'b0;
        13'b1001011010001: out = 1'b0;
        13'b1001011010010: out = 1'b0;
        13'b1001011010011: out = 1'b0;
        13'b1001011010100: out = 1'b0;
        13'b1001011010101: out = 1'b0;
        13'b1001011010110: out = 1'b0;
        13'b1001011010111: out = 1'b0;
        13'b1001011011000: out = 1'b0;
        13'b1001011011001: out = 1'b0;
        13'b1001011011010: out = 1'b0;
        13'b1001011011011: out = 1'b0;
        13'b1001011011100: out = 1'b0;
        13'b1001011011101: out = 1'b0;
        13'b1001011011110: out = 1'b0;
        13'b1001011011111: out = 1'b0;
        13'b1001011100000: out = 1'b0;
        13'b1001011100001: out = 1'b0;
        13'b1001011100010: out = 1'b0;
        13'b1001011100011: out = 1'b0;
        13'b1001011100100: out = 1'b0;
        13'b1001011100101: out = 1'b0;
        13'b1001011100110: out = 1'b0;
        13'b1001011100111: out = 1'b0;
        13'b1001011101000: out = 1'b0;
        13'b1001011101001: out = 1'b0;
        13'b1001011101010: out = 1'b0;
        13'b1001011101011: out = 1'b0;
        13'b1001011101100: out = 1'b0;
        13'b1001011101101: out = 1'b0;
        13'b1001011101110: out = 1'b0;
        13'b1001011101111: out = 1'b0;
        13'b1001011110000: out = 1'b0;
        13'b1001011110001: out = 1'b0;
        13'b1001011110010: out = 1'b0;
        13'b1001011110011: out = 1'b0;
        13'b1001011110100: out = 1'b0;
        13'b1001011110101: out = 1'b0;
        13'b1001011110110: out = 1'b0;
        13'b1001011110111: out = 1'b0;
        13'b1001011111000: out = 1'b0;
        13'b1001011111001: out = 1'b0;
        13'b1001011111010: out = 1'b0;
        13'b1001011111011: out = 1'b0;
        13'b1001011111100: out = 1'b0;
        13'b1001011111101: out = 1'b0;
        13'b1001011111110: out = 1'b0;
        13'b1001011111111: out = 1'b0;
        13'b1001100000000: out = 1'b0;
        13'b1001100000001: out = 1'b0;
        13'b1001100000010: out = 1'b0;
        13'b1001100000011: out = 1'b0;
        13'b1001100000100: out = 1'b0;
        13'b1001100000101: out = 1'b0;
        13'b1001100000110: out = 1'b0;
        13'b1001100000111: out = 1'b0;
        13'b1001100001000: out = 1'b0;
        13'b1001100001001: out = 1'b0;
        13'b1001100001010: out = 1'b0;
        13'b1001100001011: out = 1'b0;
        13'b1001100001100: out = 1'b0;
        13'b1001100001101: out = 1'b0;
        13'b1001100001110: out = 1'b0;
        13'b1001100001111: out = 1'b0;
        13'b1001100010000: out = 1'b0;
        13'b1001100010001: out = 1'b0;
        13'b1001100010010: out = 1'b0;
        13'b1001100010011: out = 1'b0;
        13'b1001100010100: out = 1'b0;
        13'b1001100010101: out = 1'b0;
        13'b1001100010110: out = 1'b0;
        13'b1001100010111: out = 1'b0;
        13'b1001100011000: out = 1'b0;
        13'b1001100011001: out = 1'b0;
        13'b1001100011010: out = 1'b0;
        13'b1001100011011: out = 1'b0;
        13'b1001100011100: out = 1'b0;
        13'b1001100011101: out = 1'b0;
        13'b1001100011110: out = 1'b0;
        13'b1001100011111: out = 1'b0;
        13'b1001100100000: out = 1'b0;
        13'b1001100100001: out = 1'b0;
        13'b1001100100010: out = 1'b0;
        13'b1001100100011: out = 1'b0;
        13'b1001100100100: out = 1'b0;
        13'b1001100100101: out = 1'b0;
        13'b1001100100110: out = 1'b0;
        13'b1001100100111: out = 1'b0;
        13'b1001100101000: out = 1'b0;
        13'b1001100101001: out = 1'b0;
        13'b1001100101010: out = 1'b0;
        13'b1001100101011: out = 1'b0;
        13'b1001100101100: out = 1'b0;
        13'b1001100101101: out = 1'b0;
        13'b1001100101110: out = 1'b0;
        13'b1001100101111: out = 1'b0;
        13'b1001100110000: out = 1'b0;
        13'b1001100110001: out = 1'b0;
        13'b1001100110010: out = 1'b0;
        13'b1001100110011: out = 1'b0;
        13'b1001100110100: out = 1'b0;
        13'b1001100110101: out = 1'b0;
        13'b1001100110110: out = 1'b0;
        13'b1001100110111: out = 1'b0;
        13'b1001100111000: out = 1'b0;
        13'b1001100111001: out = 1'b0;
        13'b1001100111010: out = 1'b0;
        13'b1001100111011: out = 1'b0;
        13'b1001100111100: out = 1'b0;
        13'b1001100111101: out = 1'b0;
        13'b1001100111110: out = 1'b0;
        13'b1001100111111: out = 1'b0;
        13'b1001101000000: out = 1'b0;
        13'b1001101000001: out = 1'b0;
        13'b1001101000010: out = 1'b0;
        13'b1001101000011: out = 1'b0;
        13'b1001101000100: out = 1'b0;
        13'b1001101000101: out = 1'b0;
        13'b1001101000110: out = 1'b0;
        13'b1001101000111: out = 1'b0;
        13'b1001101001000: out = 1'b0;
        13'b1001101001001: out = 1'b0;
        13'b1001101001010: out = 1'b0;
        13'b1001101001011: out = 1'b0;
        13'b1001101001100: out = 1'b0;
        13'b1001101001101: out = 1'b0;
        13'b1001101001110: out = 1'b0;
        13'b1001101001111: out = 1'b0;
        13'b1001101010000: out = 1'b0;
        13'b1001101010001: out = 1'b0;
        13'b1001101010010: out = 1'b0;
        13'b1001101010011: out = 1'b0;
        13'b1001101010100: out = 1'b0;
        13'b1001101010101: out = 1'b0;
        13'b1001101010110: out = 1'b0;
        13'b1001101010111: out = 1'b0;
        13'b1001101011000: out = 1'b0;
        13'b1001101011001: out = 1'b0;
        13'b1001101011010: out = 1'b0;
        13'b1001101011011: out = 1'b0;
        13'b1001101011100: out = 1'b0;
        13'b1001101011101: out = 1'b0;
        13'b1001101011110: out = 1'b0;
        13'b1001101011111: out = 1'b0;
        13'b1001101100000: out = 1'b0;
        13'b1001101100001: out = 1'b0;
        13'b1001101100010: out = 1'b0;
        13'b1001101100011: out = 1'b0;
        13'b1001101100100: out = 1'b0;
        13'b1001101100101: out = 1'b0;
        13'b1001101100110: out = 1'b0;
        13'b1001101100111: out = 1'b0;
        13'b1001101101000: out = 1'b0;
        13'b1001101101001: out = 1'b0;
        13'b1001101101010: out = 1'b0;
        13'b1001101101011: out = 1'b0;
        13'b1001101101100: out = 1'b0;
        13'b1001101101101: out = 1'b0;
        13'b1001101101110: out = 1'b0;
        13'b1001101101111: out = 1'b0;
        13'b1001101110000: out = 1'b0;
        13'b1001101110001: out = 1'b0;
        13'b1001101110010: out = 1'b0;
        13'b1001101110011: out = 1'b0;
        13'b1001101110100: out = 1'b0;
        13'b1001101110101: out = 1'b0;
        13'b1001101110110: out = 1'b0;
        13'b1001101110111: out = 1'b0;
        13'b1001101111000: out = 1'b0;
        13'b1001101111001: out = 1'b0;
        13'b1001101111010: out = 1'b0;
        13'b1001101111011: out = 1'b0;
        13'b1001101111100: out = 1'b0;
        13'b1001101111101: out = 1'b0;
        13'b1001101111110: out = 1'b0;
        13'b1001101111111: out = 1'b0;
        13'b1001110000000: out = 1'b0;
        13'b1001110000001: out = 1'b0;
        13'b1001110000010: out = 1'b0;
        13'b1001110000011: out = 1'b0;
        13'b1001110000100: out = 1'b0;
        13'b1001110000101: out = 1'b0;
        13'b1001110000110: out = 1'b0;
        13'b1001110000111: out = 1'b0;
        13'b1001110001000: out = 1'b0;
        13'b1001110001001: out = 1'b0;
        13'b1001110001010: out = 1'b0;
        13'b1001110001011: out = 1'b0;
        13'b1001110001100: out = 1'b0;
        13'b1001110001101: out = 1'b0;
        13'b1001110001110: out = 1'b0;
        13'b1001110001111: out = 1'b0;
        13'b1001110010000: out = 1'b0;
        13'b1001110010001: out = 1'b0;
        13'b1001110010010: out = 1'b0;
        13'b1001110010011: out = 1'b0;
        13'b1001110010100: out = 1'b0;
        13'b1001110010101: out = 1'b0;
        13'b1001110010110: out = 1'b0;
        13'b1001110010111: out = 1'b0;
        13'b1001110011000: out = 1'b0;
        13'b1001110011001: out = 1'b0;
        13'b1001110011010: out = 1'b0;
        13'b1001110011011: out = 1'b0;
        13'b1001110011100: out = 1'b0;
        13'b1001110011101: out = 1'b0;
        13'b1001110011110: out = 1'b0;
        13'b1001110011111: out = 1'b0;
        13'b1001110100000: out = 1'b0;
        13'b1001110100001: out = 1'b0;
        13'b1001110100010: out = 1'b0;
        13'b1001110100011: out = 1'b0;
        13'b1001110100100: out = 1'b0;
        13'b1001110100101: out = 1'b0;
        13'b1001110100110: out = 1'b0;
        13'b1001110100111: out = 1'b0;
        13'b1001110101000: out = 1'b0;
        13'b1001110101001: out = 1'b0;
        13'b1001110101010: out = 1'b0;
        13'b1001110101011: out = 1'b0;
        13'b1001110101100: out = 1'b0;
        13'b1001110101101: out = 1'b0;
        13'b1001110101110: out = 1'b0;
        13'b1001110101111: out = 1'b0;
        13'b1001110110000: out = 1'b0;
        13'b1001110110001: out = 1'b0;
        13'b1001110110010: out = 1'b0;
        13'b1001110110011: out = 1'b0;
        13'b1001110110100: out = 1'b0;
        13'b1001110110101: out = 1'b0;
        13'b1001110110110: out = 1'b0;
        13'b1001110110111: out = 1'b0;
        13'b1001110111000: out = 1'b0;
        13'b1001110111001: out = 1'b0;
        13'b1001110111010: out = 1'b0;
        13'b1001110111011: out = 1'b0;
        13'b1001110111100: out = 1'b0;
        13'b1001110111101: out = 1'b0;
        13'b1001110111110: out = 1'b0;
        13'b1001110111111: out = 1'b0;
        13'b1001111000000: out = 1'b0;
        13'b1001111000001: out = 1'b0;
        13'b1001111000010: out = 1'b0;
        13'b1001111000011: out = 1'b0;
        13'b1001111000100: out = 1'b0;
        13'b1001111000101: out = 1'b0;
        13'b1001111000110: out = 1'b0;
        13'b1001111000111: out = 1'b0;
        13'b1001111001000: out = 1'b0;
        13'b1001111001001: out = 1'b0;
        13'b1001111001010: out = 1'b0;
        13'b1001111001011: out = 1'b0;
        13'b1001111001100: out = 1'b0;
        13'b1001111001101: out = 1'b0;
        13'b1001111001110: out = 1'b0;
        13'b1001111001111: out = 1'b0;
        13'b1001111010000: out = 1'b0;
        13'b1001111010001: out = 1'b0;
        13'b1001111010010: out = 1'b0;
        13'b1001111010011: out = 1'b0;
        13'b1001111010100: out = 1'b0;
        13'b1001111010101: out = 1'b0;
        13'b1001111010110: out = 1'b0;
        13'b1001111010111: out = 1'b0;
        13'b1001111011000: out = 1'b0;
        13'b1001111011001: out = 1'b0;
        13'b1001111011010: out = 1'b0;
        13'b1001111011011: out = 1'b0;
        13'b1001111011100: out = 1'b0;
        13'b1001111011101: out = 1'b0;
        13'b1001111011110: out = 1'b0;
        13'b1001111011111: out = 1'b0;
        13'b1001111100000: out = 1'b0;
        13'b1001111100001: out = 1'b0;
        13'b1001111100010: out = 1'b0;
        13'b1001111100011: out = 1'b0;
        13'b1001111100100: out = 1'b0;
        13'b1001111100101: out = 1'b0;
        13'b1001111100110: out = 1'b0;
        13'b1001111100111: out = 1'b0;
        13'b1001111101000: out = 1'b0;
        13'b1001111101001: out = 1'b0;
        13'b1001111101010: out = 1'b0;
        13'b1001111101011: out = 1'b0;
        13'b1001111101100: out = 1'b0;
        13'b1001111101101: out = 1'b0;
        13'b1001111101110: out = 1'b0;
        13'b1001111101111: out = 1'b0;
        13'b1001111110000: out = 1'b0;
        13'b1001111110001: out = 1'b0;
        13'b1001111110010: out = 1'b0;
        13'b1001111110011: out = 1'b0;
        13'b1001111110100: out = 1'b0;
        13'b1001111110101: out = 1'b0;
        13'b1001111110110: out = 1'b0;
        13'b1001111110111: out = 1'b0;
        13'b1001111111000: out = 1'b0;
        13'b1001111111001: out = 1'b0;
        13'b1001111111010: out = 1'b0;
        13'b1001111111011: out = 1'b0;
        13'b1001111111100: out = 1'b0;
        13'b1001111111101: out = 1'b0;
        13'b1001111111110: out = 1'b0;
        13'b1001111111111: out = 1'b0;
        13'b1010000000000: out = 1'b0;
        13'b1010000000001: out = 1'b0;
        13'b1010000000010: out = 1'b0;
        13'b1010000000011: out = 1'b0;
        13'b1010000000100: out = 1'b0;
        13'b1010000000101: out = 1'b0;
        13'b1010000000110: out = 1'b0;
        13'b1010000000111: out = 1'b0;
        13'b1010000001000: out = 1'b0;
        13'b1010000001001: out = 1'b0;
        13'b1010000001010: out = 1'b0;
        13'b1010000001011: out = 1'b0;
        13'b1010000001100: out = 1'b0;
        13'b1010000001101: out = 1'b0;
        13'b1010000001110: out = 1'b0;
        13'b1010000001111: out = 1'b0;
        13'b1010000010000: out = 1'b0;
        13'b1010000010001: out = 1'b0;
        13'b1010000010010: out = 1'b0;
        13'b1010000010011: out = 1'b0;
        13'b1010000010100: out = 1'b0;
        13'b1010000010101: out = 1'b0;
        13'b1010000010110: out = 1'b0;
        13'b1010000010111: out = 1'b0;
        13'b1010000011000: out = 1'b0;
        13'b1010000011001: out = 1'b0;
        13'b1010000011010: out = 1'b0;
        13'b1010000011011: out = 1'b0;
        13'b1010000011100: out = 1'b0;
        13'b1010000011101: out = 1'b0;
        13'b1010000011110: out = 1'b0;
        13'b1010000011111: out = 1'b0;
        13'b1010000100000: out = 1'b0;
        13'b1010000100001: out = 1'b0;
        13'b1010000100010: out = 1'b0;
        13'b1010000100011: out = 1'b0;
        13'b1010000100100: out = 1'b0;
        13'b1010000100101: out = 1'b0;
        13'b1010000100110: out = 1'b0;
        13'b1010000100111: out = 1'b0;
        13'b1010000101000: out = 1'b0;
        13'b1010000101001: out = 1'b0;
        13'b1010000101010: out = 1'b0;
        13'b1010000101011: out = 1'b0;
        13'b1010000101100: out = 1'b0;
        13'b1010000101101: out = 1'b0;
        13'b1010000101110: out = 1'b0;
        13'b1010000101111: out = 1'b0;
        13'b1010000110000: out = 1'b0;
        13'b1010000110001: out = 1'b0;
        13'b1010000110010: out = 1'b0;
        13'b1010000110011: out = 1'b0;
        13'b1010000110100: out = 1'b0;
        13'b1010000110101: out = 1'b0;
        13'b1010000110110: out = 1'b0;
        13'b1010000110111: out = 1'b0;
        13'b1010000111000: out = 1'b0;
        13'b1010000111001: out = 1'b0;
        13'b1010000111010: out = 1'b0;
        13'b1010000111011: out = 1'b0;
        13'b1010000111100: out = 1'b0;
        13'b1010000111101: out = 1'b0;
        13'b1010000111110: out = 1'b0;
        13'b1010000111111: out = 1'b0;
        13'b1010001000000: out = 1'b0;
        13'b1010001000001: out = 1'b0;
        13'b1010001000010: out = 1'b0;
        13'b1010001000011: out = 1'b0;
        13'b1010001000100: out = 1'b0;
        13'b1010001000101: out = 1'b0;
        13'b1010001000110: out = 1'b0;
        13'b1010001000111: out = 1'b0;
        13'b1010001001000: out = 1'b0;
        13'b1010001001001: out = 1'b0;
        13'b1010001001010: out = 1'b0;
        13'b1010001001011: out = 1'b0;
        13'b1010001001100: out = 1'b0;
        13'b1010001001101: out = 1'b0;
        13'b1010001001110: out = 1'b0;
        13'b1010001001111: out = 1'b0;
        13'b1010001010000: out = 1'b0;
        13'b1010001010001: out = 1'b0;
        13'b1010001010010: out = 1'b0;
        13'b1010001010011: out = 1'b0;
        13'b1010001010100: out = 1'b0;
        13'b1010001010101: out = 1'b0;
        13'b1010001010110: out = 1'b0;
        13'b1010001010111: out = 1'b0;
        13'b1010001011000: out = 1'b0;
        13'b1010001011001: out = 1'b0;
        13'b1010001011010: out = 1'b0;
        13'b1010001011011: out = 1'b0;
        13'b1010001011100: out = 1'b0;
        13'b1010001011101: out = 1'b0;
        13'b1010001011110: out = 1'b0;
        13'b1010001011111: out = 1'b0;
        13'b1010001100000: out = 1'b0;
        13'b1010001100001: out = 1'b0;
        13'b1010001100010: out = 1'b0;
        13'b1010001100011: out = 1'b0;
        13'b1010001100100: out = 1'b0;
        13'b1010001100101: out = 1'b0;
        13'b1010001100110: out = 1'b0;
        13'b1010001100111: out = 1'b0;
        13'b1010001101000: out = 1'b0;
        13'b1010001101001: out = 1'b0;
        13'b1010001101010: out = 1'b0;
        13'b1010001101011: out = 1'b0;
        13'b1010001101100: out = 1'b0;
        13'b1010001101101: out = 1'b0;
        13'b1010001101110: out = 1'b0;
        13'b1010001101111: out = 1'b0;
        13'b1010001110000: out = 1'b0;
        13'b1010001110001: out = 1'b0;
        13'b1010001110010: out = 1'b0;
        13'b1010001110011: out = 1'b0;
        13'b1010001110100: out = 1'b0;
        13'b1010001110101: out = 1'b0;
        13'b1010001110110: out = 1'b0;
        13'b1010001110111: out = 1'b0;
        13'b1010001111000: out = 1'b0;
        13'b1010001111001: out = 1'b0;
        13'b1010001111010: out = 1'b0;
        13'b1010001111011: out = 1'b0;
        13'b1010001111100: out = 1'b0;
        13'b1010001111101: out = 1'b0;
        13'b1010001111110: out = 1'b0;
        13'b1010001111111: out = 1'b0;
        13'b1010010000000: out = 1'b0;
        13'b1010010000001: out = 1'b0;
        13'b1010010000010: out = 1'b0;
        13'b1010010000011: out = 1'b0;
        13'b1010010000100: out = 1'b0;
        13'b1010010000101: out = 1'b0;
        13'b1010010000110: out = 1'b0;
        13'b1010010000111: out = 1'b0;
        13'b1010010001000: out = 1'b0;
        13'b1010010001001: out = 1'b0;
        13'b1010010001010: out = 1'b0;
        13'b1010010001011: out = 1'b0;
        13'b1010010001100: out = 1'b0;
        13'b1010010001101: out = 1'b0;
        13'b1010010001110: out = 1'b0;
        13'b1010010001111: out = 1'b0;
        13'b1010010010000: out = 1'b0;
        13'b1010010010001: out = 1'b0;
        13'b1010010010010: out = 1'b0;
        13'b1010010010011: out = 1'b0;
        13'b1010010010100: out = 1'b0;
        13'b1010010010101: out = 1'b0;
        13'b1010010010110: out = 1'b0;
        13'b1010010010111: out = 1'b0;
        13'b1010010011000: out = 1'b0;
        13'b1010010011001: out = 1'b0;
        13'b1010010011010: out = 1'b0;
        13'b1010010011011: out = 1'b0;
        13'b1010010011100: out = 1'b0;
        13'b1010010011101: out = 1'b0;
        13'b1010010011110: out = 1'b0;
        13'b1010010011111: out = 1'b0;
        13'b1010010100000: out = 1'b0;
        13'b1010010100001: out = 1'b0;
        13'b1010010100010: out = 1'b0;
        13'b1010010100011: out = 1'b0;
        13'b1010010100100: out = 1'b0;
        13'b1010010100101: out = 1'b0;
        13'b1010010100110: out = 1'b0;
        13'b1010010100111: out = 1'b0;
        13'b1010010101000: out = 1'b0;
        13'b1010010101001: out = 1'b0;
        13'b1010010101010: out = 1'b0;
        13'b1010010101011: out = 1'b0;
        13'b1010010101100: out = 1'b0;
        13'b1010010101101: out = 1'b0;
        13'b1010010101110: out = 1'b0;
        13'b1010010101111: out = 1'b0;
        13'b1010010110000: out = 1'b0;
        13'b1010010110001: out = 1'b0;
        13'b1010010110010: out = 1'b0;
        13'b1010010110011: out = 1'b0;
        13'b1010010110100: out = 1'b0;
        13'b1010010110101: out = 1'b0;
        13'b1010010110110: out = 1'b0;
        13'b1010010110111: out = 1'b0;
        13'b1010010111000: out = 1'b0;
        13'b1010010111001: out = 1'b0;
        13'b1010010111010: out = 1'b0;
        13'b1010010111011: out = 1'b0;
        13'b1010010111100: out = 1'b0;
        13'b1010010111101: out = 1'b0;
        13'b1010010111110: out = 1'b0;
        13'b1010010111111: out = 1'b0;
        13'b1010011000000: out = 1'b0;
        13'b1010011000001: out = 1'b0;
        13'b1010011000010: out = 1'b0;
        13'b1010011000011: out = 1'b0;
        13'b1010011000100: out = 1'b0;
        13'b1010011000101: out = 1'b0;
        13'b1010011000110: out = 1'b0;
        13'b1010011000111: out = 1'b0;
        13'b1010011001000: out = 1'b0;
        13'b1010011001001: out = 1'b0;
        13'b1010011001010: out = 1'b0;
        13'b1010011001011: out = 1'b0;
        13'b1010011001100: out = 1'b0;
        13'b1010011001101: out = 1'b0;
        13'b1010011001110: out = 1'b0;
        13'b1010011001111: out = 1'b0;
        13'b1010011010000: out = 1'b0;
        13'b1010011010001: out = 1'b0;
        13'b1010011010010: out = 1'b0;
        13'b1010011010011: out = 1'b0;
        13'b1010011010100: out = 1'b0;
        13'b1010011010101: out = 1'b0;
        13'b1010011010110: out = 1'b0;
        13'b1010011010111: out = 1'b0;
        13'b1010011011000: out = 1'b0;
        13'b1010011011001: out = 1'b0;
        13'b1010011011010: out = 1'b0;
        13'b1010011011011: out = 1'b0;
        13'b1010011011100: out = 1'b0;
        13'b1010011011101: out = 1'b0;
        13'b1010011011110: out = 1'b0;
        13'b1010011011111: out = 1'b0;
        13'b1010011100000: out = 1'b0;
        13'b1010011100001: out = 1'b0;
        13'b1010011100010: out = 1'b0;
        13'b1010011100011: out = 1'b0;
        13'b1010011100100: out = 1'b0;
        13'b1010011100101: out = 1'b0;
        13'b1010011100110: out = 1'b0;
        13'b1010011100111: out = 1'b0;
        13'b1010011101000: out = 1'b0;
        13'b1010011101001: out = 1'b0;
        13'b1010011101010: out = 1'b0;
        13'b1010011101011: out = 1'b0;
        13'b1010011101100: out = 1'b0;
        13'b1010011101101: out = 1'b0;
        13'b1010011101110: out = 1'b0;
        13'b1010011101111: out = 1'b0;
        13'b1010011110000: out = 1'b0;
        13'b1010011110001: out = 1'b0;
        13'b1010011110010: out = 1'b0;
        13'b1010011110011: out = 1'b0;
        13'b1010011110100: out = 1'b0;
        13'b1010011110101: out = 1'b0;
        13'b1010011110110: out = 1'b0;
        13'b1010011110111: out = 1'b0;
        13'b1010011111000: out = 1'b0;
        13'b1010011111001: out = 1'b0;
        13'b1010011111010: out = 1'b0;
        13'b1010011111011: out = 1'b0;
        13'b1010011111100: out = 1'b0;
        13'b1010011111101: out = 1'b0;
        13'b1010011111110: out = 1'b0;
        13'b1010011111111: out = 1'b0;
        13'b1010100000000: out = 1'b0;
        13'b1010100000001: out = 1'b0;
        13'b1010100000010: out = 1'b0;
        13'b1010100000011: out = 1'b0;
        13'b1010100000100: out = 1'b0;
        13'b1010100000101: out = 1'b0;
        13'b1010100000110: out = 1'b0;
        13'b1010100000111: out = 1'b0;
        13'b1010100001000: out = 1'b0;
        13'b1010100001001: out = 1'b0;
        13'b1010100001010: out = 1'b0;
        13'b1010100001011: out = 1'b0;
        13'b1010100001100: out = 1'b0;
        13'b1010100001101: out = 1'b0;
        13'b1010100001110: out = 1'b0;
        13'b1010100001111: out = 1'b0;
        13'b1010100010000: out = 1'b0;
        13'b1010100010001: out = 1'b0;
        13'b1010100010010: out = 1'b0;
        13'b1010100010011: out = 1'b0;
        13'b1010100010100: out = 1'b0;
        13'b1010100010101: out = 1'b0;
        13'b1010100010110: out = 1'b0;
        13'b1010100010111: out = 1'b0;
        13'b1010100011000: out = 1'b0;
        13'b1010100011001: out = 1'b0;
        13'b1010100011010: out = 1'b0;
        13'b1010100011011: out = 1'b0;
        13'b1010100011100: out = 1'b0;
        13'b1010100011101: out = 1'b0;
        13'b1010100011110: out = 1'b0;
        13'b1010100011111: out = 1'b0;
        13'b1010100100000: out = 1'b0;
        13'b1010100100001: out = 1'b0;
        13'b1010100100010: out = 1'b0;
        13'b1010100100011: out = 1'b0;
        13'b1010100100100: out = 1'b0;
        13'b1010100100101: out = 1'b0;
        13'b1010100100110: out = 1'b0;
        13'b1010100100111: out = 1'b0;
        13'b1010100101000: out = 1'b0;
        13'b1010100101001: out = 1'b0;
        13'b1010100101010: out = 1'b0;
        13'b1010100101011: out = 1'b0;
        13'b1010100101100: out = 1'b0;
        13'b1010100101101: out = 1'b0;
        13'b1010100101110: out = 1'b0;
        13'b1010100101111: out = 1'b0;
        13'b1010100110000: out = 1'b0;
        13'b1010100110001: out = 1'b0;
        13'b1010100110010: out = 1'b0;
        13'b1010100110011: out = 1'b0;
        13'b1010100110100: out = 1'b0;
        13'b1010100110101: out = 1'b0;
        13'b1010100110110: out = 1'b0;
        13'b1010100110111: out = 1'b0;
        13'b1010100111000: out = 1'b0;
        13'b1010100111001: out = 1'b0;
        13'b1010100111010: out = 1'b0;
        13'b1010100111011: out = 1'b0;
        13'b1010100111100: out = 1'b0;
        13'b1010100111101: out = 1'b0;
        13'b1010100111110: out = 1'b0;
        13'b1010100111111: out = 1'b0;
        13'b1010101000000: out = 1'b0;
        13'b1010101000001: out = 1'b0;
        13'b1010101000010: out = 1'b0;
        13'b1010101000011: out = 1'b0;
        13'b1010101000100: out = 1'b0;
        13'b1010101000101: out = 1'b0;
        13'b1010101000110: out = 1'b0;
        13'b1010101000111: out = 1'b0;
        13'b1010101001000: out = 1'b0;
        13'b1010101001001: out = 1'b0;
        13'b1010101001010: out = 1'b0;
        13'b1010101001011: out = 1'b0;
        13'b1010101001100: out = 1'b0;
        13'b1010101001101: out = 1'b0;
        13'b1010101001110: out = 1'b0;
        13'b1010101001111: out = 1'b0;
        13'b1010101010000: out = 1'b0;
        13'b1010101010001: out = 1'b0;
        13'b1010101010010: out = 1'b0;
        13'b1010101010011: out = 1'b0;
        13'b1010101010100: out = 1'b0;
        13'b1010101010101: out = 1'b0;
        13'b1010101010110: out = 1'b0;
        13'b1010101010111: out = 1'b0;
        13'b1010101011000: out = 1'b0;
        13'b1010101011001: out = 1'b0;
        13'b1010101011010: out = 1'b0;
        13'b1010101011011: out = 1'b0;
        13'b1010101011100: out = 1'b0;
        13'b1010101011101: out = 1'b0;
        13'b1010101011110: out = 1'b0;
        13'b1010101011111: out = 1'b0;
        13'b1010101100000: out = 1'b0;
        13'b1010101100001: out = 1'b0;
        13'b1010101100010: out = 1'b0;
        13'b1010101100011: out = 1'b0;
        13'b1010101100100: out = 1'b0;
        13'b1010101100101: out = 1'b0;
        13'b1010101100110: out = 1'b0;
        13'b1010101100111: out = 1'b0;
        13'b1010101101000: out = 1'b0;
        13'b1010101101001: out = 1'b0;
        13'b1010101101010: out = 1'b0;
        13'b1010101101011: out = 1'b0;
        13'b1010101101100: out = 1'b0;
        13'b1010101101101: out = 1'b0;
        13'b1010101101110: out = 1'b0;
        13'b1010101101111: out = 1'b0;
        13'b1010101110000: out = 1'b0;
        13'b1010101110001: out = 1'b0;
        13'b1010101110010: out = 1'b0;
        13'b1010101110011: out = 1'b0;
        13'b1010101110100: out = 1'b0;
        13'b1010101110101: out = 1'b0;
        13'b1010101110110: out = 1'b0;
        13'b1010101110111: out = 1'b0;
        13'b1010101111000: out = 1'b0;
        13'b1010101111001: out = 1'b0;
        13'b1010101111010: out = 1'b0;
        13'b1010101111011: out = 1'b0;
        13'b1010101111100: out = 1'b0;
        13'b1010101111101: out = 1'b0;
        13'b1010101111110: out = 1'b0;
        13'b1010101111111: out = 1'b0;
        13'b1010110000000: out = 1'b0;
        13'b1010110000001: out = 1'b0;
        13'b1010110000010: out = 1'b0;
        13'b1010110000011: out = 1'b0;
        13'b1010110000100: out = 1'b0;
        13'b1010110000101: out = 1'b0;
        13'b1010110000110: out = 1'b0;
        13'b1010110000111: out = 1'b0;
        13'b1010110001000: out = 1'b0;
        13'b1010110001001: out = 1'b0;
        13'b1010110001010: out = 1'b0;
        13'b1010110001011: out = 1'b0;
        13'b1010110001100: out = 1'b0;
        13'b1010110001101: out = 1'b0;
        13'b1010110001110: out = 1'b0;
        13'b1010110001111: out = 1'b0;
        13'b1010110010000: out = 1'b0;
        13'b1010110010001: out = 1'b0;
        13'b1010110010010: out = 1'b0;
        13'b1010110010011: out = 1'b0;
        13'b1010110010100: out = 1'b0;
        13'b1010110010101: out = 1'b0;
        13'b1010110010110: out = 1'b0;
        13'b1010110010111: out = 1'b0;
        13'b1010110011000: out = 1'b0;
        13'b1010110011001: out = 1'b0;
        13'b1010110011010: out = 1'b0;
        13'b1010110011011: out = 1'b0;
        13'b1010110011100: out = 1'b0;
        13'b1010110011101: out = 1'b0;
        13'b1010110011110: out = 1'b0;
        13'b1010110011111: out = 1'b0;
        13'b1010110100000: out = 1'b0;
        13'b1010110100001: out = 1'b0;
        13'b1010110100010: out = 1'b0;
        13'b1010110100011: out = 1'b0;
        13'b1010110100100: out = 1'b0;
        13'b1010110100101: out = 1'b0;
        13'b1010110100110: out = 1'b0;
        13'b1010110100111: out = 1'b0;
        13'b1010110101000: out = 1'b0;
        13'b1010110101001: out = 1'b0;
        13'b1010110101010: out = 1'b0;
        13'b1010110101011: out = 1'b0;
        13'b1010110101100: out = 1'b0;
        13'b1010110101101: out = 1'b0;
        13'b1010110101110: out = 1'b0;
        13'b1010110101111: out = 1'b0;
        13'b1010110110000: out = 1'b0;
        13'b1010110110001: out = 1'b0;
        13'b1010110110010: out = 1'b0;
        13'b1010110110011: out = 1'b0;
        13'b1010110110100: out = 1'b0;
        13'b1010110110101: out = 1'b0;
        13'b1010110110110: out = 1'b0;
        13'b1010110110111: out = 1'b0;
        13'b1010110111000: out = 1'b0;
        13'b1010110111001: out = 1'b0;
        13'b1010110111010: out = 1'b0;
        13'b1010110111011: out = 1'b0;
        13'b1010110111100: out = 1'b0;
        13'b1010110111101: out = 1'b0;
        13'b1010110111110: out = 1'b0;
        13'b1010110111111: out = 1'b0;
        13'b1010111000000: out = 1'b0;
        13'b1010111000001: out = 1'b0;
        13'b1010111000010: out = 1'b0;
        13'b1010111000011: out = 1'b0;
        13'b1010111000100: out = 1'b0;
        13'b1010111000101: out = 1'b0;
        13'b1010111000110: out = 1'b0;
        13'b1010111000111: out = 1'b0;
        13'b1010111001000: out = 1'b0;
        13'b1010111001001: out = 1'b0;
        13'b1010111001010: out = 1'b0;
        13'b1010111001011: out = 1'b0;
        13'b1010111001100: out = 1'b0;
        13'b1010111001101: out = 1'b0;
        13'b1010111001110: out = 1'b0;
        13'b1010111001111: out = 1'b0;
        13'b1010111010000: out = 1'b0;
        13'b1010111010001: out = 1'b0;
        13'b1010111010010: out = 1'b0;
        13'b1010111010011: out = 1'b0;
        13'b1010111010100: out = 1'b0;
        13'b1010111010101: out = 1'b0;
        13'b1010111010110: out = 1'b0;
        13'b1010111010111: out = 1'b0;
        13'b1010111011000: out = 1'b0;
        13'b1010111011001: out = 1'b0;
        13'b1010111011010: out = 1'b0;
        13'b1010111011011: out = 1'b0;
        13'b1010111011100: out = 1'b0;
        13'b1010111011101: out = 1'b0;
        13'b1010111011110: out = 1'b0;
        13'b1010111011111: out = 1'b0;
        13'b1010111100000: out = 1'b0;
        13'b1010111100001: out = 1'b0;
        13'b1010111100010: out = 1'b0;
        13'b1010111100011: out = 1'b0;
        13'b1010111100100: out = 1'b0;
        13'b1010111100101: out = 1'b0;
        13'b1010111100110: out = 1'b0;
        13'b1010111100111: out = 1'b0;
        13'b1010111101000: out = 1'b0;
        13'b1010111101001: out = 1'b0;
        13'b1010111101010: out = 1'b0;
        13'b1010111101011: out = 1'b0;
        13'b1010111101100: out = 1'b0;
        13'b1010111101101: out = 1'b0;
        13'b1010111101110: out = 1'b0;
        13'b1010111101111: out = 1'b0;
        13'b1010111110000: out = 1'b0;
        13'b1010111110001: out = 1'b0;
        13'b1010111110010: out = 1'b0;
        13'b1010111110011: out = 1'b0;
        13'b1010111110100: out = 1'b0;
        13'b1010111110101: out = 1'b0;
        13'b1010111110110: out = 1'b0;
        13'b1010111110111: out = 1'b0;
        13'b1010111111000: out = 1'b0;
        13'b1010111111001: out = 1'b0;
        13'b1010111111010: out = 1'b0;
        13'b1010111111011: out = 1'b0;
        13'b1010111111100: out = 1'b0;
        13'b1010111111101: out = 1'b0;
        13'b1010111111110: out = 1'b0;
        13'b1010111111111: out = 1'b0;
        13'b1011000000000: out = 1'b1;
        13'b1011000000001: out = 1'b1;
        13'b1011000000010: out = 1'b1;
        13'b1011000000011: out = 1'b1;
        13'b1011000000100: out = 1'b0;
        13'b1011000000101: out = 1'b0;
        13'b1011000000110: out = 1'b1;
        13'b1011000000111: out = 1'b1;
        13'b1011000001000: out = 1'b0;
        13'b1011000001001: out = 1'b0;
        13'b1011000001010: out = 1'b1;
        13'b1011000001011: out = 1'b1;
        13'b1011000001100: out = 1'b0;
        13'b1011000001101: out = 1'b1;
        13'b1011000001110: out = 1'b1;
        13'b1011000001111: out = 1'b0;
        13'b1011000010000: out = 1'b0;
        13'b1011000010001: out = 1'b0;
        13'b1011000010010: out = 1'b0;
        13'b1011000010011: out = 1'b0;
        13'b1011000010100: out = 1'b1;
        13'b1011000010101: out = 1'b1;
        13'b1011000010110: out = 1'b1;
        13'b1011000010111: out = 1'b1;
        13'b1011000011000: out = 1'b1;
        13'b1011000011001: out = 1'b0;
        13'b1011000011010: out = 1'b0;
        13'b1011000011011: out = 1'b0;
        13'b1011000011100: out = 1'b1;
        13'b1011000011101: out = 1'b1;
        13'b1011000011110: out = 1'b1;
        13'b1011000011111: out = 1'b1;
        13'b1011000100000: out = 1'b0;
        13'b1011000100001: out = 1'b0;
        13'b1011000100010: out = 1'b1;
        13'b1011000100011: out = 1'b1;
        13'b1011000100100: out = 1'b1;
        13'b1011000100101: out = 1'b1;
        13'b1011000100110: out = 1'b1;
        13'b1011000100111: out = 1'b0;
        13'b1011000101000: out = 1'b1;
        13'b1011000101001: out = 1'b1;
        13'b1011000101010: out = 1'b1;
        13'b1011000101011: out = 1'b1;
        13'b1011000101100: out = 1'b1;
        13'b1011000101101: out = 1'b1;
        13'b1011000101110: out = 1'b0;
        13'b1011000101111: out = 1'b0;
        13'b1011000110000: out = 1'b0;
        13'b1011000110001: out = 1'b0;
        13'b1011000110010: out = 1'b0;
        13'b1011000110011: out = 1'b0;
        13'b1011000110100: out = 1'b0;
        13'b1011000110101: out = 1'b0;
        13'b1011000110110: out = 1'b0;
        13'b1011000110111: out = 1'b0;
        13'b1011000111000: out = 1'b0;
        13'b1011000111001: out = 1'b0;
        13'b1011000111010: out = 1'b0;
        13'b1011000111011: out = 1'b0;
        13'b1011000111100: out = 1'b0;
        13'b1011000111101: out = 1'b0;
        13'b1011000111110: out = 1'b0;
        13'b1011000111111: out = 1'b0;
        13'b1011001000000: out = 1'b0;
        13'b1011001000001: out = 1'b0;
        13'b1011001000010: out = 1'b0;
        13'b1011001000011: out = 1'b0;
        13'b1011001000100: out = 1'b0;
        13'b1011001000101: out = 1'b0;
        13'b1011001000110: out = 1'b0;
        13'b1011001000111: out = 1'b0;
        13'b1011001001000: out = 1'b0;
        13'b1011001001001: out = 1'b0;
        13'b1011001001010: out = 1'b0;
        13'b1011001001011: out = 1'b0;
        13'b1011001001100: out = 1'b0;
        13'b1011001001101: out = 1'b0;
        13'b1011001001110: out = 1'b0;
        13'b1011001001111: out = 1'b0;
        13'b1011001010000: out = 1'b0;
        13'b1011001010001: out = 1'b0;
        13'b1011001010010: out = 1'b1;
        13'b1011001010011: out = 1'b1;
        13'b1011001010100: out = 1'b1;
        13'b1011001010101: out = 1'b1;
        13'b1011001010110: out = 1'b1;
        13'b1011001010111: out = 1'b0;
        13'b1011001011000: out = 1'b0;
        13'b1011001011001: out = 1'b0;
        13'b1011001011010: out = 1'b1;
        13'b1011001011011: out = 1'b1;
        13'b1011001011100: out = 1'b1;
        13'b1011001011101: out = 1'b1;
        13'b1011001011110: out = 1'b0;
        13'b1011001011111: out = 1'b0;
        13'b1011001100000: out = 1'b0;
        13'b1011001100001: out = 1'b1;
        13'b1011001100010: out = 1'b1;
        13'b1011001100011: out = 1'b1;
        13'b1011001100100: out = 1'b1;
        13'b1011001100101: out = 1'b0;
        13'b1011001100110: out = 1'b0;
        13'b1011001100111: out = 1'b1;
        13'b1011001101000: out = 1'b1;
        13'b1011001101001: out = 1'b0;
        13'b1011001101010: out = 1'b0;
        13'b1011001101011: out = 1'b1;
        13'b1011001101100: out = 1'b1;
        13'b1011001101101: out = 1'b0;
        13'b1011001101110: out = 1'b0;
        13'b1011001101111: out = 1'b1;
        13'b1011001110000: out = 1'b1;
        13'b1011001110001: out = 1'b1;
        13'b1011001110010: out = 1'b1;
        13'b1011001110011: out = 1'b0;
        13'b1011001110100: out = 1'b0;
        13'b1011001110101: out = 1'b0;
        13'b1011001110110: out = 1'b0;
        13'b1011001110111: out = 1'b1;
        13'b1011001111000: out = 1'b1;
        13'b1011001111001: out = 1'b0;
        13'b1011001111010: out = 1'b0;
        13'b1011001111011: out = 1'b0;
        13'b1011001111100: out = 1'b0;
        13'b1011001111101: out = 1'b0;
        13'b1011001111110: out = 1'b0;
        13'b1011001111111: out = 1'b0;
        13'b1011010000000: out = 1'b1;
        13'b1011010000001: out = 1'b1;
        13'b1011010000010: out = 1'b1;
        13'b1011010000011: out = 1'b1;
        13'b1011010000100: out = 1'b1;
        13'b1011010000101: out = 1'b0;
        13'b1011010000110: out = 1'b1;
        13'b1011010000111: out = 1'b1;
        13'b1011010001000: out = 1'b0;
        13'b1011010001001: out = 1'b0;
        13'b1011010001010: out = 1'b1;
        13'b1011010001011: out = 1'b1;
        13'b1011010001100: out = 1'b0;
        13'b1011010001101: out = 1'b1;
        13'b1011010001110: out = 1'b1;
        13'b1011010001111: out = 1'b0;
        13'b1011010010000: out = 1'b0;
        13'b1011010010001: out = 1'b0;
        13'b1011010010010: out = 1'b0;
        13'b1011010010011: out = 1'b0;
        13'b1011010010100: out = 1'b1;
        13'b1011010010101: out = 1'b1;
        13'b1011010010110: out = 1'b1;
        13'b1011010010111: out = 1'b1;
        13'b1011010011000: out = 1'b1;
        13'b1011010011001: out = 1'b1;
        13'b1011010011010: out = 1'b0;
        13'b1011010011011: out = 1'b1;
        13'b1011010011100: out = 1'b1;
        13'b1011010011101: out = 1'b1;
        13'b1011010011110: out = 1'b1;
        13'b1011010011111: out = 1'b1;
        13'b1011010100000: out = 1'b1;
        13'b1011010100001: out = 1'b0;
        13'b1011010100010: out = 1'b1;
        13'b1011010100011: out = 1'b1;
        13'b1011010100100: out = 1'b1;
        13'b1011010100101: out = 1'b1;
        13'b1011010100110: out = 1'b1;
        13'b1011010100111: out = 1'b0;
        13'b1011010101000: out = 1'b1;
        13'b1011010101001: out = 1'b1;
        13'b1011010101010: out = 1'b1;
        13'b1011010101011: out = 1'b1;
        13'b1011010101100: out = 1'b1;
        13'b1011010101101: out = 1'b1;
        13'b1011010101110: out = 1'b0;
        13'b1011010101111: out = 1'b0;
        13'b1011010110000: out = 1'b0;
        13'b1011010110001: out = 1'b0;
        13'b1011010110010: out = 1'b0;
        13'b1011010110011: out = 1'b0;
        13'b1011010110100: out = 1'b0;
        13'b1011010110101: out = 1'b0;
        13'b1011010110110: out = 1'b0;
        13'b1011010110111: out = 1'b0;
        13'b1011010111000: out = 1'b0;
        13'b1011010111001: out = 1'b0;
        13'b1011010111010: out = 1'b0;
        13'b1011010111011: out = 1'b0;
        13'b1011010111100: out = 1'b0;
        13'b1011010111101: out = 1'b0;
        13'b1011010111110: out = 1'b0;
        13'b1011010111111: out = 1'b0;
        13'b1011011000000: out = 1'b0;
        13'b1011011000001: out = 1'b0;
        13'b1011011000010: out = 1'b0;
        13'b1011011000011: out = 1'b0;
        13'b1011011000100: out = 1'b0;
        13'b1011011000101: out = 1'b0;
        13'b1011011000110: out = 1'b0;
        13'b1011011000111: out = 1'b0;
        13'b1011011001000: out = 1'b0;
        13'b1011011001001: out = 1'b0;
        13'b1011011001010: out = 1'b0;
        13'b1011011001011: out = 1'b0;
        13'b1011011001100: out = 1'b0;
        13'b1011011001101: out = 1'b0;
        13'b1011011001110: out = 1'b0;
        13'b1011011001111: out = 1'b0;
        13'b1011011010000: out = 1'b0;
        13'b1011011010001: out = 1'b0;
        13'b1011011010010: out = 1'b1;
        13'b1011011010011: out = 1'b1;
        13'b1011011010100: out = 1'b1;
        13'b1011011010101: out = 1'b1;
        13'b1011011010110: out = 1'b1;
        13'b1011011010111: out = 1'b1;
        13'b1011011011000: out = 1'b0;
        13'b1011011011001: out = 1'b1;
        13'b1011011011010: out = 1'b1;
        13'b1011011011011: out = 1'b1;
        13'b1011011011100: out = 1'b1;
        13'b1011011011101: out = 1'b1;
        13'b1011011011110: out = 1'b1;
        13'b1011011011111: out = 1'b0;
        13'b1011011100000: out = 1'b1;
        13'b1011011100001: out = 1'b1;
        13'b1011011100010: out = 1'b1;
        13'b1011011100011: out = 1'b1;
        13'b1011011100100: out = 1'b1;
        13'b1011011100101: out = 1'b1;
        13'b1011011100110: out = 1'b0;
        13'b1011011100111: out = 1'b1;
        13'b1011011101000: out = 1'b1;
        13'b1011011101001: out = 1'b0;
        13'b1011011101010: out = 1'b0;
        13'b1011011101011: out = 1'b1;
        13'b1011011101100: out = 1'b1;
        13'b1011011101101: out = 1'b0;
        13'b1011011101110: out = 1'b1;
        13'b1011011101111: out = 1'b1;
        13'b1011011110000: out = 1'b1;
        13'b1011011110001: out = 1'b1;
        13'b1011011110010: out = 1'b1;
        13'b1011011110011: out = 1'b1;
        13'b1011011110100: out = 1'b0;
        13'b1011011110101: out = 1'b0;
        13'b1011011110110: out = 1'b0;
        13'b1011011110111: out = 1'b1;
        13'b1011011111000: out = 1'b1;
        13'b1011011111001: out = 1'b0;
        13'b1011011111010: out = 1'b0;
        13'b1011011111011: out = 1'b0;
        13'b1011011111100: out = 1'b0;
        13'b1011011111101: out = 1'b0;
        13'b1011011111110: out = 1'b0;
        13'b1011011111111: out = 1'b1;
        13'b1011100000000: out = 1'b1;
        13'b1011100000001: out = 1'b0;
        13'b1011100000010: out = 1'b0;
        13'b1011100000011: out = 1'b1;
        13'b1011100000100: out = 1'b1;
        13'b1011100000101: out = 1'b0;
        13'b1011100000110: out = 1'b1;
        13'b1011100000111: out = 1'b1;
        13'b1011100001000: out = 1'b1;
        13'b1011100001001: out = 1'b1;
        13'b1011100001010: out = 1'b1;
        13'b1011100001011: out = 1'b1;
        13'b1011100001100: out = 1'b0;
        13'b1011100001101: out = 1'b1;
        13'b1011100001110: out = 1'b1;
        13'b1011100001111: out = 1'b0;
        13'b1011100010000: out = 1'b0;
        13'b1011100010001: out = 1'b0;
        13'b1011100010010: out = 1'b0;
        13'b1011100010011: out = 1'b0;
        13'b1011100010100: out = 1'b0;
        13'b1011100010101: out = 1'b0;
        13'b1011100010110: out = 1'b0;
        13'b1011100010111: out = 1'b0;
        13'b1011100011000: out = 1'b1;
        13'b1011100011001: out = 1'b1;
        13'b1011100011010: out = 1'b0;
        13'b1011100011011: out = 1'b1;
        13'b1011100011100: out = 1'b1;
        13'b1011100011101: out = 1'b0;
        13'b1011100011110: out = 1'b0;
        13'b1011100011111: out = 1'b1;
        13'b1011100100000: out = 1'b1;
        13'b1011100100001: out = 1'b0;
        13'b1011100100010: out = 1'b1;
        13'b1011100100011: out = 1'b1;
        13'b1011100100100: out = 1'b0;
        13'b1011100100101: out = 1'b0;
        13'b1011100100110: out = 1'b0;
        13'b1011100100111: out = 1'b0;
        13'b1011100101000: out = 1'b1;
        13'b1011100101001: out = 1'b1;
        13'b1011100101010: out = 1'b0;
        13'b1011100101011: out = 1'b0;
        13'b1011100101100: out = 1'b0;
        13'b1011100101101: out = 1'b0;
        13'b1011100101110: out = 1'b0;
        13'b1011100101111: out = 1'b0;
        13'b1011100110000: out = 1'b0;
        13'b1011100110001: out = 1'b0;
        13'b1011100110010: out = 1'b0;
        13'b1011100110011: out = 1'b0;
        13'b1011100110100: out = 1'b0;
        13'b1011100110101: out = 1'b0;
        13'b1011100110110: out = 1'b0;
        13'b1011100110111: out = 1'b0;
        13'b1011100111000: out = 1'b0;
        13'b1011100111001: out = 1'b0;
        13'b1011100111010: out = 1'b0;
        13'b1011100111011: out = 1'b0;
        13'b1011100111100: out = 1'b0;
        13'b1011100111101: out = 1'b0;
        13'b1011100111110: out = 1'b0;
        13'b1011100111111: out = 1'b0;
        13'b1011101000000: out = 1'b0;
        13'b1011101000001: out = 1'b0;
        13'b1011101000010: out = 1'b0;
        13'b1011101000011: out = 1'b0;
        13'b1011101000100: out = 1'b0;
        13'b1011101000101: out = 1'b0;
        13'b1011101000110: out = 1'b0;
        13'b1011101000111: out = 1'b0;
        13'b1011101001000: out = 1'b0;
        13'b1011101001001: out = 1'b0;
        13'b1011101001010: out = 1'b0;
        13'b1011101001011: out = 1'b0;
        13'b1011101001100: out = 1'b0;
        13'b1011101001101: out = 1'b0;
        13'b1011101001110: out = 1'b0;
        13'b1011101001111: out = 1'b0;
        13'b1011101010000: out = 1'b0;
        13'b1011101010001: out = 1'b0;
        13'b1011101010010: out = 1'b1;
        13'b1011101010011: out = 1'b1;
        13'b1011101010100: out = 1'b0;
        13'b1011101010101: out = 1'b0;
        13'b1011101010110: out = 1'b1;
        13'b1011101010111: out = 1'b1;
        13'b1011101011000: out = 1'b0;
        13'b1011101011001: out = 1'b1;
        13'b1011101011010: out = 1'b1;
        13'b1011101011011: out = 1'b0;
        13'b1011101011100: out = 1'b0;
        13'b1011101011101: out = 1'b1;
        13'b1011101011110: out = 1'b1;
        13'b1011101011111: out = 1'b0;
        13'b1011101100000: out = 1'b1;
        13'b1011101100001: out = 1'b1;
        13'b1011101100010: out = 1'b0;
        13'b1011101100011: out = 1'b0;
        13'b1011101100100: out = 1'b1;
        13'b1011101100101: out = 1'b1;
        13'b1011101100110: out = 1'b0;
        13'b1011101100111: out = 1'b1;
        13'b1011101101000: out = 1'b1;
        13'b1011101101001: out = 1'b0;
        13'b1011101101010: out = 1'b0;
        13'b1011101101011: out = 1'b1;
        13'b1011101101100: out = 1'b1;
        13'b1011101101101: out = 1'b0;
        13'b1011101101110: out = 1'b1;
        13'b1011101101111: out = 1'b1;
        13'b1011101110000: out = 1'b0;
        13'b1011101110001: out = 1'b0;
        13'b1011101110010: out = 1'b1;
        13'b1011101110011: out = 1'b1;
        13'b1011101110100: out = 1'b0;
        13'b1011101110101: out = 1'b0;
        13'b1011101110110: out = 1'b0;
        13'b1011101110111: out = 1'b1;
        13'b1011101111000: out = 1'b1;
        13'b1011101111001: out = 1'b0;
        13'b1011101111010: out = 1'b0;
        13'b1011101111011: out = 1'b0;
        13'b1011101111100: out = 1'b0;
        13'b1011101111101: out = 1'b0;
        13'b1011101111110: out = 1'b0;
        13'b1011101111111: out = 1'b1;
        13'b1011110000000: out = 1'b1;
        13'b1011110000001: out = 1'b0;
        13'b1011110000010: out = 1'b0;
        13'b1011110000011: out = 1'b1;
        13'b1011110000100: out = 1'b1;
        13'b1011110000101: out = 1'b0;
        13'b1011110000110: out = 1'b1;
        13'b1011110000111: out = 1'b1;
        13'b1011110001000: out = 1'b1;
        13'b1011110001001: out = 1'b1;
        13'b1011110001010: out = 1'b1;
        13'b1011110001011: out = 1'b1;
        13'b1011110001100: out = 1'b0;
        13'b1011110001101: out = 1'b1;
        13'b1011110001110: out = 1'b1;
        13'b1011110001111: out = 1'b0;
        13'b1011110010000: out = 1'b0;
        13'b1011110010001: out = 1'b0;
        13'b1011110010010: out = 1'b0;
        13'b1011110010011: out = 1'b0;
        13'b1011110010100: out = 1'b0;
        13'b1011110010101: out = 1'b0;
        13'b1011110010110: out = 1'b0;
        13'b1011110010111: out = 1'b0;
        13'b1011110011000: out = 1'b1;
        13'b1011110011001: out = 1'b1;
        13'b1011110011010: out = 1'b0;
        13'b1011110011011: out = 1'b1;
        13'b1011110011100: out = 1'b1;
        13'b1011110011101: out = 1'b0;
        13'b1011110011110: out = 1'b0;
        13'b1011110011111: out = 1'b1;
        13'b1011110100000: out = 1'b1;
        13'b1011110100001: out = 1'b0;
        13'b1011110100010: out = 1'b1;
        13'b1011110100011: out = 1'b1;
        13'b1011110100100: out = 1'b0;
        13'b1011110100101: out = 1'b0;
        13'b1011110100110: out = 1'b0;
        13'b1011110100111: out = 1'b0;
        13'b1011110101000: out = 1'b1;
        13'b1011110101001: out = 1'b1;
        13'b1011110101010: out = 1'b0;
        13'b1011110101011: out = 1'b0;
        13'b1011110101100: out = 1'b0;
        13'b1011110101101: out = 1'b0;
        13'b1011110101110: out = 1'b0;
        13'b1011110101111: out = 1'b0;
        13'b1011110110000: out = 1'b0;
        13'b1011110110001: out = 1'b0;
        13'b1011110110010: out = 1'b0;
        13'b1011110110011: out = 1'b0;
        13'b1011110110100: out = 1'b0;
        13'b1011110110101: out = 1'b0;
        13'b1011110110110: out = 1'b0;
        13'b1011110110111: out = 1'b0;
        13'b1011110111000: out = 1'b0;
        13'b1011110111001: out = 1'b0;
        13'b1011110111010: out = 1'b0;
        13'b1011110111011: out = 1'b0;
        13'b1011110111100: out = 1'b0;
        13'b1011110111101: out = 1'b0;
        13'b1011110111110: out = 1'b0;
        13'b1011110111111: out = 1'b0;
        13'b1011111000000: out = 1'b0;
        13'b1011111000001: out = 1'b0;
        13'b1011111000010: out = 1'b0;
        13'b1011111000011: out = 1'b0;
        13'b1011111000100: out = 1'b0;
        13'b1011111000101: out = 1'b0;
        13'b1011111000110: out = 1'b0;
        13'b1011111000111: out = 1'b0;
        13'b1011111001000: out = 1'b0;
        13'b1011111001001: out = 1'b0;
        13'b1011111001010: out = 1'b0;
        13'b1011111001011: out = 1'b0;
        13'b1011111001100: out = 1'b0;
        13'b1011111001101: out = 1'b0;
        13'b1011111001110: out = 1'b0;
        13'b1011111001111: out = 1'b0;
        13'b1011111010000: out = 1'b0;
        13'b1011111010001: out = 1'b0;
        13'b1011111010010: out = 1'b1;
        13'b1011111010011: out = 1'b1;
        13'b1011111010100: out = 1'b0;
        13'b1011111010101: out = 1'b0;
        13'b1011111010110: out = 1'b1;
        13'b1011111010111: out = 1'b1;
        13'b1011111011000: out = 1'b0;
        13'b1011111011001: out = 1'b1;
        13'b1011111011010: out = 1'b1;
        13'b1011111011011: out = 1'b0;
        13'b1011111011100: out = 1'b0;
        13'b1011111011101: out = 1'b1;
        13'b1011111011110: out = 1'b1;
        13'b1011111011111: out = 1'b0;
        13'b1011111100000: out = 1'b1;
        13'b1011111100001: out = 1'b1;
        13'b1011111100010: out = 1'b0;
        13'b1011111100011: out = 1'b0;
        13'b1011111100100: out = 1'b1;
        13'b1011111100101: out = 1'b1;
        13'b1011111100110: out = 1'b0;
        13'b1011111100111: out = 1'b1;
        13'b1011111101000: out = 1'b1;
        13'b1011111101001: out = 1'b0;
        13'b1011111101010: out = 1'b0;
        13'b1011111101011: out = 1'b1;
        13'b1011111101100: out = 1'b1;
        13'b1011111101101: out = 1'b0;
        13'b1011111101110: out = 1'b1;
        13'b1011111101111: out = 1'b1;
        13'b1011111110000: out = 1'b0;
        13'b1011111110001: out = 1'b0;
        13'b1011111110010: out = 1'b1;
        13'b1011111110011: out = 1'b1;
        13'b1011111110100: out = 1'b0;
        13'b1011111110101: out = 1'b0;
        13'b1011111110110: out = 1'b0;
        13'b1011111110111: out = 1'b1;
        13'b1011111111000: out = 1'b1;
        13'b1011111111001: out = 1'b0;
        13'b1011111111010: out = 1'b0;
        13'b1011111111011: out = 1'b0;
        13'b1011111111100: out = 1'b0;
        13'b1011111111101: out = 1'b0;
        13'b1011111111110: out = 1'b0;
        13'b1011111111111: out = 1'b1;
        13'b1100000000000: out = 1'b1;
        13'b1100000000001: out = 1'b0;
        13'b1100000000010: out = 1'b0;
        13'b1100000000011: out = 1'b0;
        13'b1100000000100: out = 1'b0;
        13'b1100000000101: out = 1'b0;
        13'b1100000000110: out = 1'b1;
        13'b1100000000111: out = 1'b1;
        13'b1100000001000: out = 1'b0;
        13'b1100000001001: out = 1'b0;
        13'b1100000001010: out = 1'b1;
        13'b1100000001011: out = 1'b1;
        13'b1100000001100: out = 1'b0;
        13'b1100000001101: out = 1'b1;
        13'b1100000001110: out = 1'b1;
        13'b1100000001111: out = 1'b1;
        13'b1100000010000: out = 1'b1;
        13'b1100000010001: out = 1'b1;
        13'b1100000010010: out = 1'b0;
        13'b1100000010011: out = 1'b0;
        13'b1100000010100: out = 1'b0;
        13'b1100000010101: out = 1'b1;
        13'b1100000010110: out = 1'b1;
        13'b1100000010111: out = 1'b1;
        13'b1100000011000: out = 1'b1;
        13'b1100000011001: out = 1'b1;
        13'b1100000011010: out = 1'b0;
        13'b1100000011011: out = 1'b1;
        13'b1100000011100: out = 1'b1;
        13'b1100000011101: out = 1'b0;
        13'b1100000011110: out = 1'b0;
        13'b1100000011111: out = 1'b1;
        13'b1100000100000: out = 1'b1;
        13'b1100000100001: out = 1'b0;
        13'b1100000100010: out = 1'b1;
        13'b1100000100011: out = 1'b1;
        13'b1100000100100: out = 1'b0;
        13'b1100000100101: out = 1'b0;
        13'b1100000100110: out = 1'b0;
        13'b1100000100111: out = 1'b0;
        13'b1100000101000: out = 1'b1;
        13'b1100000101001: out = 1'b1;
        13'b1100000101010: out = 1'b1;
        13'b1100000101011: out = 1'b1;
        13'b1100000101100: out = 1'b1;
        13'b1100000101101: out = 1'b0;
        13'b1100000101110: out = 1'b0;
        13'b1100000101111: out = 1'b0;
        13'b1100000110000: out = 1'b0;
        13'b1100000110001: out = 1'b0;
        13'b1100000110010: out = 1'b0;
        13'b1100000110011: out = 1'b0;
        13'b1100000110100: out = 1'b0;
        13'b1100000110101: out = 1'b0;
        13'b1100000110110: out = 1'b0;
        13'b1100000110111: out = 1'b0;
        13'b1100000111000: out = 1'b0;
        13'b1100000111001: out = 1'b0;
        13'b1100000111010: out = 1'b0;
        13'b1100000111011: out = 1'b0;
        13'b1100000111100: out = 1'b0;
        13'b1100000111101: out = 1'b0;
        13'b1100000111110: out = 1'b0;
        13'b1100000111111: out = 1'b0;
        13'b1100001000000: out = 1'b0;
        13'b1100001000001: out = 1'b0;
        13'b1100001000010: out = 1'b0;
        13'b1100001000011: out = 1'b0;
        13'b1100001000100: out = 1'b0;
        13'b1100001000101: out = 1'b0;
        13'b1100001000110: out = 1'b0;
        13'b1100001000111: out = 1'b0;
        13'b1100001001000: out = 1'b0;
        13'b1100001001001: out = 1'b0;
        13'b1100001001010: out = 1'b0;
        13'b1100001001011: out = 1'b0;
        13'b1100001001100: out = 1'b0;
        13'b1100001001101: out = 1'b0;
        13'b1100001001110: out = 1'b0;
        13'b1100001001111: out = 1'b0;
        13'b1100001010000: out = 1'b0;
        13'b1100001010001: out = 1'b0;
        13'b1100001010010: out = 1'b1;
        13'b1100001010011: out = 1'b1;
        13'b1100001010100: out = 1'b1;
        13'b1100001010101: out = 1'b1;
        13'b1100001010110: out = 1'b1;
        13'b1100001010111: out = 1'b0;
        13'b1100001011000: out = 1'b0;
        13'b1100001011001: out = 1'b1;
        13'b1100001011010: out = 1'b1;
        13'b1100001011011: out = 1'b0;
        13'b1100001011100: out = 1'b0;
        13'b1100001011101: out = 1'b1;
        13'b1100001011110: out = 1'b1;
        13'b1100001011111: out = 1'b0;
        13'b1100001100000: out = 1'b1;
        13'b1100001100001: out = 1'b1;
        13'b1100001100010: out = 1'b0;
        13'b1100001100011: out = 1'b0;
        13'b1100001100100: out = 1'b1;
        13'b1100001100101: out = 1'b1;
        13'b1100001100110: out = 1'b0;
        13'b1100001100111: out = 1'b1;
        13'b1100001101000: out = 1'b1;
        13'b1100001101001: out = 1'b0;
        13'b1100001101010: out = 1'b0;
        13'b1100001101011: out = 1'b1;
        13'b1100001101100: out = 1'b1;
        13'b1100001101101: out = 1'b0;
        13'b1100001101110: out = 1'b1;
        13'b1100001101111: out = 1'b1;
        13'b1100001110000: out = 1'b0;
        13'b1100001110001: out = 1'b0;
        13'b1100001110010: out = 1'b0;
        13'b1100001110011: out = 1'b0;
        13'b1100001110100: out = 1'b0;
        13'b1100001110101: out = 1'b0;
        13'b1100001110110: out = 1'b0;
        13'b1100001110111: out = 1'b1;
        13'b1100001111000: out = 1'b1;
        13'b1100001111001: out = 1'b0;
        13'b1100001111010: out = 1'b0;
        13'b1100001111011: out = 1'b0;
        13'b1100001111100: out = 1'b0;
        13'b1100001111101: out = 1'b0;
        13'b1100001111110: out = 1'b0;
        13'b1100001111111: out = 1'b1;
        13'b1100010000000: out = 1'b1;
        13'b1100010000001: out = 1'b0;
        13'b1100010000010: out = 1'b0;
        13'b1100010000011: out = 1'b0;
        13'b1100010000100: out = 1'b0;
        13'b1100010000101: out = 1'b0;
        13'b1100010000110: out = 1'b1;
        13'b1100010000111: out = 1'b1;
        13'b1100010001000: out = 1'b0;
        13'b1100010001001: out = 1'b0;
        13'b1100010001010: out = 1'b1;
        13'b1100010001011: out = 1'b1;
        13'b1100010001100: out = 1'b0;
        13'b1100010001101: out = 1'b1;
        13'b1100010001110: out = 1'b1;
        13'b1100010001111: out = 1'b1;
        13'b1100010010000: out = 1'b1;
        13'b1100010010001: out = 1'b1;
        13'b1100010010010: out = 1'b1;
        13'b1100010010011: out = 1'b0;
        13'b1100010010100: out = 1'b1;
        13'b1100010010101: out = 1'b1;
        13'b1100010010110: out = 1'b1;
        13'b1100010010111: out = 1'b1;
        13'b1100010011000: out = 1'b1;
        13'b1100010011001: out = 1'b0;
        13'b1100010011010: out = 1'b0;
        13'b1100010011011: out = 1'b1;
        13'b1100010011100: out = 1'b1;
        13'b1100010011101: out = 1'b0;
        13'b1100010011110: out = 1'b0;
        13'b1100010011111: out = 1'b1;
        13'b1100010100000: out = 1'b1;
        13'b1100010100001: out = 1'b0;
        13'b1100010100010: out = 1'b1;
        13'b1100010100011: out = 1'b1;
        13'b1100010100100: out = 1'b0;
        13'b1100010100101: out = 1'b0;
        13'b1100010100110: out = 1'b0;
        13'b1100010100111: out = 1'b0;
        13'b1100010101000: out = 1'b1;
        13'b1100010101001: out = 1'b1;
        13'b1100010101010: out = 1'b1;
        13'b1100010101011: out = 1'b1;
        13'b1100010101100: out = 1'b1;
        13'b1100010101101: out = 1'b0;
        13'b1100010101110: out = 1'b0;
        13'b1100010101111: out = 1'b0;
        13'b1100010110000: out = 1'b0;
        13'b1100010110001: out = 1'b0;
        13'b1100010110010: out = 1'b0;
        13'b1100010110011: out = 1'b0;
        13'b1100010110100: out = 1'b0;
        13'b1100010110101: out = 1'b0;
        13'b1100010110110: out = 1'b0;
        13'b1100010110111: out = 1'b0;
        13'b1100010111000: out = 1'b0;
        13'b1100010111001: out = 1'b0;
        13'b1100010111010: out = 1'b0;
        13'b1100010111011: out = 1'b0;
        13'b1100010111100: out = 1'b0;
        13'b1100010111101: out = 1'b0;
        13'b1100010111110: out = 1'b0;
        13'b1100010111111: out = 1'b0;
        13'b1100011000000: out = 1'b0;
        13'b1100011000001: out = 1'b0;
        13'b1100011000010: out = 1'b0;
        13'b1100011000011: out = 1'b0;
        13'b1100011000100: out = 1'b0;
        13'b1100011000101: out = 1'b0;
        13'b1100011000110: out = 1'b0;
        13'b1100011000111: out = 1'b0;
        13'b1100011001000: out = 1'b0;
        13'b1100011001001: out = 1'b0;
        13'b1100011001010: out = 1'b0;
        13'b1100011001011: out = 1'b0;
        13'b1100011001100: out = 1'b0;
        13'b1100011001101: out = 1'b0;
        13'b1100011001110: out = 1'b0;
        13'b1100011001111: out = 1'b0;
        13'b1100011010000: out = 1'b0;
        13'b1100011010001: out = 1'b0;
        13'b1100011010010: out = 1'b1;
        13'b1100011010011: out = 1'b1;
        13'b1100011010100: out = 1'b1;
        13'b1100011010101: out = 1'b1;
        13'b1100011010110: out = 1'b1;
        13'b1100011010111: out = 1'b0;
        13'b1100011011000: out = 1'b0;
        13'b1100011011001: out = 1'b1;
        13'b1100011011010: out = 1'b1;
        13'b1100011011011: out = 1'b0;
        13'b1100011011100: out = 1'b0;
        13'b1100011011101: out = 1'b1;
        13'b1100011011110: out = 1'b1;
        13'b1100011011111: out = 1'b0;
        13'b1100011100000: out = 1'b1;
        13'b1100011100001: out = 1'b1;
        13'b1100011100010: out = 1'b0;
        13'b1100011100011: out = 1'b0;
        13'b1100011100100: out = 1'b1;
        13'b1100011100101: out = 1'b1;
        13'b1100011100110: out = 1'b0;
        13'b1100011100111: out = 1'b1;
        13'b1100011101000: out = 1'b1;
        13'b1100011101001: out = 1'b0;
        13'b1100011101010: out = 1'b0;
        13'b1100011101011: out = 1'b1;
        13'b1100011101100: out = 1'b1;
        13'b1100011101101: out = 1'b0;
        13'b1100011101110: out = 1'b1;
        13'b1100011101111: out = 1'b1;
        13'b1100011110000: out = 1'b0;
        13'b1100011110001: out = 1'b0;
        13'b1100011110010: out = 1'b0;
        13'b1100011110011: out = 1'b0;
        13'b1100011110100: out = 1'b0;
        13'b1100011110101: out = 1'b0;
        13'b1100011110110: out = 1'b1;
        13'b1100011110111: out = 1'b1;
        13'b1100011111000: out = 1'b1;
        13'b1100011111001: out = 1'b1;
        13'b1100011111010: out = 1'b0;
        13'b1100011111011: out = 1'b0;
        13'b1100011111100: out = 1'b0;
        13'b1100011111101: out = 1'b0;
        13'b1100011111110: out = 1'b0;
        13'b1100011111111: out = 1'b1;
        13'b1100100000000: out = 1'b1;
        13'b1100100000001: out = 1'b0;
        13'b1100100000010: out = 1'b0;
        13'b1100100000011: out = 1'b1;
        13'b1100100000100: out = 1'b1;
        13'b1100100000101: out = 1'b0;
        13'b1100100000110: out = 1'b1;
        13'b1100100000111: out = 1'b1;
        13'b1100100001000: out = 1'b0;
        13'b1100100001001: out = 1'b0;
        13'b1100100001010: out = 1'b1;
        13'b1100100001011: out = 1'b1;
        13'b1100100001100: out = 1'b0;
        13'b1100100001101: out = 1'b1;
        13'b1100100001110: out = 1'b1;
        13'b1100100001111: out = 1'b0;
        13'b1100100010000: out = 1'b0;
        13'b1100100010001: out = 1'b1;
        13'b1100100010010: out = 1'b1;
        13'b1100100010011: out = 1'b0;
        13'b1100100010100: out = 1'b1;
        13'b1100100010101: out = 1'b1;
        13'b1100100010110: out = 1'b0;
        13'b1100100010111: out = 1'b0;
        13'b1100100011000: out = 1'b0;
        13'b1100100011001: out = 1'b0;
        13'b1100100011010: out = 1'b0;
        13'b1100100011011: out = 1'b1;
        13'b1100100011100: out = 1'b1;
        13'b1100100011101: out = 1'b0;
        13'b1100100011110: out = 1'b0;
        13'b1100100011111: out = 1'b1;
        13'b1100100100000: out = 1'b1;
        13'b1100100100001: out = 1'b0;
        13'b1100100100010: out = 1'b1;
        13'b1100100100011: out = 1'b1;
        13'b1100100100100: out = 1'b0;
        13'b1100100100101: out = 1'b0;
        13'b1100100100110: out = 1'b0;
        13'b1100100100111: out = 1'b0;
        13'b1100100101000: out = 1'b1;
        13'b1100100101001: out = 1'b1;
        13'b1100100101010: out = 1'b0;
        13'b1100100101011: out = 1'b0;
        13'b1100100101100: out = 1'b0;
        13'b1100100101101: out = 1'b0;
        13'b1100100101110: out = 1'b0;
        13'b1100100101111: out = 1'b0;
        13'b1100100110000: out = 1'b0;
        13'b1100100110001: out = 1'b0;
        13'b1100100110010: out = 1'b0;
        13'b1100100110011: out = 1'b0;
        13'b1100100110100: out = 1'b0;
        13'b1100100110101: out = 1'b0;
        13'b1100100110110: out = 1'b0;
        13'b1100100110111: out = 1'b0;
        13'b1100100111000: out = 1'b0;
        13'b1100100111001: out = 1'b0;
        13'b1100100111010: out = 1'b0;
        13'b1100100111011: out = 1'b0;
        13'b1100100111100: out = 1'b0;
        13'b1100100111101: out = 1'b0;
        13'b1100100111110: out = 1'b0;
        13'b1100100111111: out = 1'b0;
        13'b1100101000000: out = 1'b0;
        13'b1100101000001: out = 1'b0;
        13'b1100101000010: out = 1'b0;
        13'b1100101000011: out = 1'b0;
        13'b1100101000100: out = 1'b0;
        13'b1100101000101: out = 1'b0;
        13'b1100101000110: out = 1'b0;
        13'b1100101000111: out = 1'b0;
        13'b1100101001000: out = 1'b0;
        13'b1100101001001: out = 1'b0;
        13'b1100101001010: out = 1'b0;
        13'b1100101001011: out = 1'b0;
        13'b1100101001100: out = 1'b0;
        13'b1100101001101: out = 1'b0;
        13'b1100101001110: out = 1'b0;
        13'b1100101001111: out = 1'b0;
        13'b1100101010000: out = 1'b0;
        13'b1100101010001: out = 1'b0;
        13'b1100101010010: out = 1'b1;
        13'b1100101010011: out = 1'b1;
        13'b1100101010100: out = 1'b0;
        13'b1100101010101: out = 1'b0;
        13'b1100101010110: out = 1'b1;
        13'b1100101010111: out = 1'b1;
        13'b1100101011000: out = 1'b0;
        13'b1100101011001: out = 1'b1;
        13'b1100101011010: out = 1'b1;
        13'b1100101011011: out = 1'b0;
        13'b1100101011100: out = 1'b0;
        13'b1100101011101: out = 1'b1;
        13'b1100101011110: out = 1'b1;
        13'b1100101011111: out = 1'b0;
        13'b1100101100000: out = 1'b1;
        13'b1100101100001: out = 1'b1;
        13'b1100101100010: out = 1'b0;
        13'b1100101100011: out = 1'b0;
        13'b1100101100100: out = 1'b1;
        13'b1100101100101: out = 1'b1;
        13'b1100101100110: out = 1'b0;
        13'b1100101100111: out = 1'b1;
        13'b1100101101000: out = 1'b1;
        13'b1100101101001: out = 1'b0;
        13'b1100101101010: out = 1'b0;
        13'b1100101101011: out = 1'b1;
        13'b1100101101100: out = 1'b1;
        13'b1100101101101: out = 1'b0;
        13'b1100101101110: out = 1'b1;
        13'b1100101101111: out = 1'b1;
        13'b1100101110000: out = 1'b0;
        13'b1100101110001: out = 1'b0;
        13'b1100101110010: out = 1'b1;
        13'b1100101110011: out = 1'b1;
        13'b1100101110100: out = 1'b0;
        13'b1100101110101: out = 1'b1;
        13'b1100101110110: out = 1'b1;
        13'b1100101110111: out = 1'b1;
        13'b1100101111000: out = 1'b1;
        13'b1100101111001: out = 1'b1;
        13'b1100101111010: out = 1'b1;
        13'b1100101111011: out = 1'b0;
        13'b1100101111100: out = 1'b0;
        13'b1100101111101: out = 1'b0;
        13'b1100101111110: out = 1'b0;
        13'b1100101111111: out = 1'b1;
        13'b1100110000000: out = 1'b1;
        13'b1100110000001: out = 1'b0;
        13'b1100110000010: out = 1'b0;
        13'b1100110000011: out = 1'b1;
        13'b1100110000100: out = 1'b1;
        13'b1100110000101: out = 1'b0;
        13'b1100110000110: out = 1'b1;
        13'b1100110000111: out = 1'b1;
        13'b1100110001000: out = 1'b0;
        13'b1100110001001: out = 1'b0;
        13'b1100110001010: out = 1'b1;
        13'b1100110001011: out = 1'b1;
        13'b1100110001100: out = 1'b0;
        13'b1100110001101: out = 1'b1;
        13'b1100110001110: out = 1'b1;
        13'b1100110001111: out = 1'b0;
        13'b1100110010000: out = 1'b0;
        13'b1100110010001: out = 1'b1;
        13'b1100110010010: out = 1'b1;
        13'b1100110010011: out = 1'b0;
        13'b1100110010100: out = 1'b1;
        13'b1100110010101: out = 1'b1;
        13'b1100110010110: out = 1'b0;
        13'b1100110010111: out = 1'b0;
        13'b1100110011000: out = 1'b0;
        13'b1100110011001: out = 1'b0;
        13'b1100110011010: out = 1'b0;
        13'b1100110011011: out = 1'b1;
        13'b1100110011100: out = 1'b1;
        13'b1100110011101: out = 1'b0;
        13'b1100110011110: out = 1'b0;
        13'b1100110011111: out = 1'b1;
        13'b1100110100000: out = 1'b1;
        13'b1100110100001: out = 1'b0;
        13'b1100110100010: out = 1'b1;
        13'b1100110100011: out = 1'b1;
        13'b1100110100100: out = 1'b0;
        13'b1100110100101: out = 1'b0;
        13'b1100110100110: out = 1'b0;
        13'b1100110100111: out = 1'b0;
        13'b1100110101000: out = 1'b1;
        13'b1100110101001: out = 1'b1;
        13'b1100110101010: out = 1'b0;
        13'b1100110101011: out = 1'b0;
        13'b1100110101100: out = 1'b0;
        13'b1100110101101: out = 1'b0;
        13'b1100110101110: out = 1'b0;
        13'b1100110101111: out = 1'b0;
        13'b1100110110000: out = 1'b0;
        13'b1100110110001: out = 1'b0;
        13'b1100110110010: out = 1'b0;
        13'b1100110110011: out = 1'b0;
        13'b1100110110100: out = 1'b0;
        13'b1100110110101: out = 1'b0;
        13'b1100110110110: out = 1'b0;
        13'b1100110110111: out = 1'b0;
        13'b1100110111000: out = 1'b0;
        13'b1100110111001: out = 1'b0;
        13'b1100110111010: out = 1'b0;
        13'b1100110111011: out = 1'b0;
        13'b1100110111100: out = 1'b0;
        13'b1100110111101: out = 1'b0;
        13'b1100110111110: out = 1'b0;
        13'b1100110111111: out = 1'b0;
        13'b1100111000000: out = 1'b0;
        13'b1100111000001: out = 1'b0;
        13'b1100111000010: out = 1'b0;
        13'b1100111000011: out = 1'b0;
        13'b1100111000100: out = 1'b0;
        13'b1100111000101: out = 1'b0;
        13'b1100111000110: out = 1'b0;
        13'b1100111000111: out = 1'b0;
        13'b1100111001000: out = 1'b0;
        13'b1100111001001: out = 1'b0;
        13'b1100111001010: out = 1'b0;
        13'b1100111001011: out = 1'b0;
        13'b1100111001100: out = 1'b0;
        13'b1100111001101: out = 1'b0;
        13'b1100111001110: out = 1'b0;
        13'b1100111001111: out = 1'b0;
        13'b1100111010000: out = 1'b0;
        13'b1100111010001: out = 1'b0;
        13'b1100111010010: out = 1'b1;
        13'b1100111010011: out = 1'b1;
        13'b1100111010100: out = 1'b0;
        13'b1100111010101: out = 1'b0;
        13'b1100111010110: out = 1'b1;
        13'b1100111010111: out = 1'b1;
        13'b1100111011000: out = 1'b0;
        13'b1100111011001: out = 1'b1;
        13'b1100111011010: out = 1'b1;
        13'b1100111011011: out = 1'b0;
        13'b1100111011100: out = 1'b0;
        13'b1100111011101: out = 1'b1;
        13'b1100111011110: out = 1'b1;
        13'b1100111011111: out = 1'b0;
        13'b1100111100000: out = 1'b1;
        13'b1100111100001: out = 1'b1;
        13'b1100111100010: out = 1'b0;
        13'b1100111100011: out = 1'b0;
        13'b1100111100100: out = 1'b1;
        13'b1100111100101: out = 1'b1;
        13'b1100111100110: out = 1'b0;
        13'b1100111100111: out = 1'b1;
        13'b1100111101000: out = 1'b1;
        13'b1100111101001: out = 1'b0;
        13'b1100111101010: out = 1'b0;
        13'b1100111101011: out = 1'b1;
        13'b1100111101100: out = 1'b1;
        13'b1100111101101: out = 1'b0;
        13'b1100111101110: out = 1'b1;
        13'b1100111101111: out = 1'b1;
        13'b1100111110000: out = 1'b0;
        13'b1100111110001: out = 1'b0;
        13'b1100111110010: out = 1'b1;
        13'b1100111110011: out = 1'b1;
        13'b1100111110100: out = 1'b0;
        13'b1100111110101: out = 1'b1;
        13'b1100111110110: out = 1'b1;
        13'b1100111110111: out = 1'b0;
        13'b1100111111000: out = 1'b0;
        13'b1100111111001: out = 1'b1;
        13'b1100111111010: out = 1'b1;
        13'b1100111111011: out = 1'b0;
        13'b1100111111100: out = 1'b0;
        13'b1100111111101: out = 1'b0;
        13'b1100111111110: out = 1'b0;
        13'b1100111111111: out = 1'b1;
        13'b1101000000000: out = 1'b1;
        13'b1101000000001: out = 1'b1;
        13'b1101000000010: out = 1'b1;
        13'b1101000000011: out = 1'b1;
        13'b1101000000100: out = 1'b1;
        13'b1101000000101: out = 1'b0;
        13'b1101000000110: out = 1'b1;
        13'b1101000000111: out = 1'b1;
        13'b1101000001000: out = 1'b1;
        13'b1101000001001: out = 1'b1;
        13'b1101000001010: out = 1'b1;
        13'b1101000001011: out = 1'b1;
        13'b1101000001100: out = 1'b0;
        13'b1101000001101: out = 1'b1;
        13'b1101000001110: out = 1'b1;
        13'b1101000001111: out = 1'b1;
        13'b1101000010000: out = 1'b1;
        13'b1101000010001: out = 1'b1;
        13'b1101000010010: out = 1'b1;
        13'b1101000010011: out = 1'b0;
        13'b1101000010100: out = 1'b1;
        13'b1101000010101: out = 1'b1;
        13'b1101000010110: out = 1'b1;
        13'b1101000010111: out = 1'b1;
        13'b1101000011000: out = 1'b1;
        13'b1101000011001: out = 1'b1;
        13'b1101000011010: out = 1'b0;
        13'b1101000011011: out = 1'b1;
        13'b1101000011100: out = 1'b1;
        13'b1101000011101: out = 1'b0;
        13'b1101000011110: out = 1'b0;
        13'b1101000011111: out = 1'b1;
        13'b1101000100000: out = 1'b1;
        13'b1101000100001: out = 1'b0;
        13'b1101000100010: out = 1'b1;
        13'b1101000100011: out = 1'b1;
        13'b1101000100100: out = 1'b0;
        13'b1101000100101: out = 1'b0;
        13'b1101000100110: out = 1'b0;
        13'b1101000100111: out = 1'b0;
        13'b1101000101000: out = 1'b1;
        13'b1101000101001: out = 1'b1;
        13'b1101000101010: out = 1'b1;
        13'b1101000101011: out = 1'b1;
        13'b1101000101100: out = 1'b1;
        13'b1101000101101: out = 1'b1;
        13'b1101000101110: out = 1'b0;
        13'b1101000101111: out = 1'b0;
        13'b1101000110000: out = 1'b0;
        13'b1101000110001: out = 1'b0;
        13'b1101000110010: out = 1'b0;
        13'b1101000110011: out = 1'b0;
        13'b1101000110100: out = 1'b0;
        13'b1101000110101: out = 1'b0;
        13'b1101000110110: out = 1'b0;
        13'b1101000110111: out = 1'b0;
        13'b1101000111000: out = 1'b0;
        13'b1101000111001: out = 1'b0;
        13'b1101000111010: out = 1'b0;
        13'b1101000111011: out = 1'b0;
        13'b1101000111100: out = 1'b0;
        13'b1101000111101: out = 1'b0;
        13'b1101000111110: out = 1'b0;
        13'b1101000111111: out = 1'b0;
        13'b1101001000000: out = 1'b0;
        13'b1101001000001: out = 1'b0;
        13'b1101001000010: out = 1'b0;
        13'b1101001000011: out = 1'b0;
        13'b1101001000100: out = 1'b0;
        13'b1101001000101: out = 1'b0;
        13'b1101001000110: out = 1'b0;
        13'b1101001000111: out = 1'b0;
        13'b1101001001000: out = 1'b0;
        13'b1101001001001: out = 1'b0;
        13'b1101001001010: out = 1'b0;
        13'b1101001001011: out = 1'b0;
        13'b1101001001100: out = 1'b0;
        13'b1101001001101: out = 1'b0;
        13'b1101001001110: out = 1'b0;
        13'b1101001001111: out = 1'b0;
        13'b1101001010000: out = 1'b0;
        13'b1101001010001: out = 1'b0;
        13'b1101001010010: out = 1'b1;
        13'b1101001010011: out = 1'b1;
        13'b1101001010100: out = 1'b1;
        13'b1101001010101: out = 1'b1;
        13'b1101001010110: out = 1'b1;
        13'b1101001010111: out = 1'b1;
        13'b1101001011000: out = 1'b0;
        13'b1101001011001: out = 1'b1;
        13'b1101001011010: out = 1'b1;
        13'b1101001011011: out = 1'b1;
        13'b1101001011100: out = 1'b1;
        13'b1101001011101: out = 1'b1;
        13'b1101001011110: out = 1'b1;
        13'b1101001011111: out = 1'b0;
        13'b1101001100000: out = 1'b1;
        13'b1101001100001: out = 1'b1;
        13'b1101001100010: out = 1'b0;
        13'b1101001100011: out = 1'b0;
        13'b1101001100100: out = 1'b1;
        13'b1101001100101: out = 1'b1;
        13'b1101001100110: out = 1'b0;
        13'b1101001100111: out = 1'b1;
        13'b1101001101000: out = 1'b1;
        13'b1101001101001: out = 1'b1;
        13'b1101001101010: out = 1'b1;
        13'b1101001101011: out = 1'b1;
        13'b1101001101100: out = 1'b1;
        13'b1101001101101: out = 1'b0;
        13'b1101001101110: out = 1'b1;
        13'b1101001101111: out = 1'b1;
        13'b1101001110000: out = 1'b1;
        13'b1101001110001: out = 1'b1;
        13'b1101001110010: out = 1'b1;
        13'b1101001110011: out = 1'b1;
        13'b1101001110100: out = 1'b0;
        13'b1101001110101: out = 1'b1;
        13'b1101001110110: out = 1'b1;
        13'b1101001110111: out = 1'b0;
        13'b1101001111000: out = 1'b0;
        13'b1101001111001: out = 1'b1;
        13'b1101001111010: out = 1'b1;
        13'b1101001111011: out = 1'b0;
        13'b1101001111100: out = 1'b0;
        13'b1101001111101: out = 1'b0;
        13'b1101001111110: out = 1'b0;
        13'b1101001111111: out = 1'b1;
        13'b1101010000000: out = 1'b1;
        13'b1101010000001: out = 1'b1;
        13'b1101010000010: out = 1'b1;
        13'b1101010000011: out = 1'b1;
        13'b1101010000100: out = 1'b0;
        13'b1101010000101: out = 1'b0;
        13'b1101010000110: out = 1'b0;
        13'b1101010000111: out = 1'b1;
        13'b1101010001000: out = 1'b1;
        13'b1101010001001: out = 1'b1;
        13'b1101010001010: out = 1'b1;
        13'b1101010001011: out = 1'b0;
        13'b1101010001100: out = 1'b0;
        13'b1101010001101: out = 1'b1;
        13'b1101010001110: out = 1'b1;
        13'b1101010001111: out = 1'b1;
        13'b1101010010000: out = 1'b1;
        13'b1101010010001: out = 1'b1;
        13'b1101010010010: out = 1'b0;
        13'b1101010010011: out = 1'b0;
        13'b1101010010100: out = 1'b0;
        13'b1101010010101: out = 1'b1;
        13'b1101010010110: out = 1'b1;
        13'b1101010010111: out = 1'b1;
        13'b1101010011000: out = 1'b1;
        13'b1101010011001: out = 1'b1;
        13'b1101010011010: out = 1'b0;
        13'b1101010011011: out = 1'b1;
        13'b1101010011100: out = 1'b1;
        13'b1101010011101: out = 1'b0;
        13'b1101010011110: out = 1'b0;
        13'b1101010011111: out = 1'b1;
        13'b1101010100000: out = 1'b1;
        13'b1101010100001: out = 1'b0;
        13'b1101010100010: out = 1'b1;
        13'b1101010100011: out = 1'b1;
        13'b1101010100100: out = 1'b0;
        13'b1101010100101: out = 1'b0;
        13'b1101010100110: out = 1'b0;
        13'b1101010100111: out = 1'b0;
        13'b1101010101000: out = 1'b1;
        13'b1101010101001: out = 1'b1;
        13'b1101010101010: out = 1'b1;
        13'b1101010101011: out = 1'b1;
        13'b1101010101100: out = 1'b1;
        13'b1101010101101: out = 1'b1;
        13'b1101010101110: out = 1'b0;
        13'b1101010101111: out = 1'b0;
        13'b1101010110000: out = 1'b0;
        13'b1101010110001: out = 1'b0;
        13'b1101010110010: out = 1'b0;
        13'b1101010110011: out = 1'b0;
        13'b1101010110100: out = 1'b0;
        13'b1101010110101: out = 1'b0;
        13'b1101010110110: out = 1'b0;
        13'b1101010110111: out = 1'b0;
        13'b1101010111000: out = 1'b0;
        13'b1101010111001: out = 1'b0;
        13'b1101010111010: out = 1'b0;
        13'b1101010111011: out = 1'b0;
        13'b1101010111100: out = 1'b0;
        13'b1101010111101: out = 1'b0;
        13'b1101010111110: out = 1'b0;
        13'b1101010111111: out = 1'b0;
        13'b1101011000000: out = 1'b0;
        13'b1101011000001: out = 1'b0;
        13'b1101011000010: out = 1'b0;
        13'b1101011000011: out = 1'b0;
        13'b1101011000100: out = 1'b0;
        13'b1101011000101: out = 1'b0;
        13'b1101011000110: out = 1'b0;
        13'b1101011000111: out = 1'b0;
        13'b1101011001000: out = 1'b0;
        13'b1101011001001: out = 1'b0;
        13'b1101011001010: out = 1'b0;
        13'b1101011001011: out = 1'b0;
        13'b1101011001100: out = 1'b0;
        13'b1101011001101: out = 1'b0;
        13'b1101011001110: out = 1'b0;
        13'b1101011001111: out = 1'b0;
        13'b1101011010000: out = 1'b0;
        13'b1101011010001: out = 1'b0;
        13'b1101011010010: out = 1'b1;
        13'b1101011010011: out = 1'b1;
        13'b1101011010100: out = 1'b1;
        13'b1101011010101: out = 1'b1;
        13'b1101011010110: out = 1'b1;
        13'b1101011010111: out = 1'b0;
        13'b1101011011000: out = 1'b0;
        13'b1101011011001: out = 1'b0;
        13'b1101011011010: out = 1'b1;
        13'b1101011011011: out = 1'b1;
        13'b1101011011100: out = 1'b1;
        13'b1101011011101: out = 1'b1;
        13'b1101011011110: out = 1'b0;
        13'b1101011011111: out = 1'b0;
        13'b1101011100000: out = 1'b1;
        13'b1101011100001: out = 1'b1;
        13'b1101011100010: out = 1'b0;
        13'b1101011100011: out = 1'b0;
        13'b1101011100100: out = 1'b1;
        13'b1101011100101: out = 1'b1;
        13'b1101011100110: out = 1'b0;
        13'b1101011100111: out = 1'b1;
        13'b1101011101000: out = 1'b1;
        13'b1101011101001: out = 1'b1;
        13'b1101011101010: out = 1'b1;
        13'b1101011101011: out = 1'b1;
        13'b1101011101100: out = 1'b0;
        13'b1101011101101: out = 1'b0;
        13'b1101011101110: out = 1'b0;
        13'b1101011101111: out = 1'b1;
        13'b1101011110000: out = 1'b1;
        13'b1101011110001: out = 1'b1;
        13'b1101011110010: out = 1'b1;
        13'b1101011110011: out = 1'b0;
        13'b1101011110100: out = 1'b0;
        13'b1101011110101: out = 1'b1;
        13'b1101011110110: out = 1'b1;
        13'b1101011110111: out = 1'b0;
        13'b1101011111000: out = 1'b0;
        13'b1101011111001: out = 1'b1;
        13'b1101011111010: out = 1'b1;
        13'b1101011111011: out = 1'b0;
        13'b1101011111100: out = 1'b0;
        13'b1101011111101: out = 1'b0;
        13'b1101011111110: out = 1'b0;
        13'b1101011111111: out = 1'b0;
        13'b1101100000000: out = 1'b0;
        13'b1101100000001: out = 1'b0;
        13'b1101100000010: out = 1'b0;
        13'b1101100000011: out = 1'b0;
        13'b1101100000100: out = 1'b0;
        13'b1101100000101: out = 1'b0;
        13'b1101100000110: out = 1'b0;
        13'b1101100000111: out = 1'b0;
        13'b1101100001000: out = 1'b0;
        13'b1101100001001: out = 1'b0;
        13'b1101100001010: out = 1'b0;
        13'b1101100001011: out = 1'b0;
        13'b1101100001100: out = 1'b0;
        13'b1101100001101: out = 1'b0;
        13'b1101100001110: out = 1'b0;
        13'b1101100001111: out = 1'b0;
        13'b1101100010000: out = 1'b0;
        13'b1101100010001: out = 1'b0;
        13'b1101100010010: out = 1'b0;
        13'b1101100010011: out = 1'b0;
        13'b1101100010100: out = 1'b0;
        13'b1101100010101: out = 1'b0;
        13'b1101100010110: out = 1'b0;
        13'b1101100010111: out = 1'b0;
        13'b1101100011000: out = 1'b0;
        13'b1101100011001: out = 1'b0;
        13'b1101100011010: out = 1'b0;
        13'b1101100011011: out = 1'b0;
        13'b1101100011100: out = 1'b0;
        13'b1101100011101: out = 1'b0;
        13'b1101100011110: out = 1'b0;
        13'b1101100011111: out = 1'b0;
        13'b1101100100000: out = 1'b0;
        13'b1101100100001: out = 1'b0;
        13'b1101100100010: out = 1'b0;
        13'b1101100100011: out = 1'b0;
        13'b1101100100100: out = 1'b0;
        13'b1101100100101: out = 1'b0;
        13'b1101100100110: out = 1'b0;
        13'b1101100100111: out = 1'b0;
        13'b1101100101000: out = 1'b0;
        13'b1101100101001: out = 1'b0;
        13'b1101100101010: out = 1'b0;
        13'b1101100101011: out = 1'b0;
        13'b1101100101100: out = 1'b0;
        13'b1101100101101: out = 1'b0;
        13'b1101100101110: out = 1'b0;
        13'b1101100101111: out = 1'b0;
        13'b1101100110000: out = 1'b0;
        13'b1101100110001: out = 1'b0;
        13'b1101100110010: out = 1'b0;
        13'b1101100110011: out = 1'b0;
        13'b1101100110100: out = 1'b0;
        13'b1101100110101: out = 1'b0;
        13'b1101100110110: out = 1'b0;
        13'b1101100110111: out = 1'b0;
        13'b1101100111000: out = 1'b0;
        13'b1101100111001: out = 1'b0;
        13'b1101100111010: out = 1'b0;
        13'b1101100111011: out = 1'b0;
        13'b1101100111100: out = 1'b0;
        13'b1101100111101: out = 1'b0;
        13'b1101100111110: out = 1'b0;
        13'b1101100111111: out = 1'b0;
        13'b1101101000000: out = 1'b0;
        13'b1101101000001: out = 1'b0;
        13'b1101101000010: out = 1'b0;
        13'b1101101000011: out = 1'b0;
        13'b1101101000100: out = 1'b0;
        13'b1101101000101: out = 1'b0;
        13'b1101101000110: out = 1'b0;
        13'b1101101000111: out = 1'b0;
        13'b1101101001000: out = 1'b0;
        13'b1101101001001: out = 1'b0;
        13'b1101101001010: out = 1'b0;
        13'b1101101001011: out = 1'b0;
        13'b1101101001100: out = 1'b0;
        13'b1101101001101: out = 1'b0;
        13'b1101101001110: out = 1'b0;
        13'b1101101001111: out = 1'b0;
        13'b1101101010000: out = 1'b0;
        13'b1101101010001: out = 1'b0;
        13'b1101101010010: out = 1'b0;
        13'b1101101010011: out = 1'b0;
        13'b1101101010100: out = 1'b0;
        13'b1101101010101: out = 1'b0;
        13'b1101101010110: out = 1'b0;
        13'b1101101010111: out = 1'b0;
        13'b1101101011000: out = 1'b0;
        13'b1101101011001: out = 1'b0;
        13'b1101101011010: out = 1'b0;
        13'b1101101011011: out = 1'b0;
        13'b1101101011100: out = 1'b0;
        13'b1101101011101: out = 1'b0;
        13'b1101101011110: out = 1'b0;
        13'b1101101011111: out = 1'b0;
        13'b1101101100000: out = 1'b0;
        13'b1101101100001: out = 1'b0;
        13'b1101101100010: out = 1'b0;
        13'b1101101100011: out = 1'b0;
        13'b1101101100100: out = 1'b0;
        13'b1101101100101: out = 1'b0;
        13'b1101101100110: out = 1'b0;
        13'b1101101100111: out = 1'b0;
        13'b1101101101000: out = 1'b0;
        13'b1101101101001: out = 1'b0;
        13'b1101101101010: out = 1'b0;
        13'b1101101101011: out = 1'b0;
        13'b1101101101100: out = 1'b0;
        13'b1101101101101: out = 1'b0;
        13'b1101101101110: out = 1'b0;
        13'b1101101101111: out = 1'b0;
        13'b1101101110000: out = 1'b0;
        13'b1101101110001: out = 1'b0;
        13'b1101101110010: out = 1'b0;
        13'b1101101110011: out = 1'b0;
        13'b1101101110100: out = 1'b0;
        13'b1101101110101: out = 1'b0;
        13'b1101101110110: out = 1'b0;
        13'b1101101110111: out = 1'b0;
        13'b1101101111000: out = 1'b0;
        13'b1101101111001: out = 1'b0;
        13'b1101101111010: out = 1'b0;
        13'b1101101111011: out = 1'b0;
        13'b1101101111100: out = 1'b0;
        13'b1101101111101: out = 1'b0;
        13'b1101101111110: out = 1'b0;
        13'b1101101111111: out = 1'b0;
        13'b1101110000000: out = 1'b0;
        13'b1101110000001: out = 1'b0;
        13'b1101110000010: out = 1'b0;
        13'b1101110000011: out = 1'b0;
        13'b1101110000100: out = 1'b0;
        13'b1101110000101: out = 1'b0;
        13'b1101110000110: out = 1'b0;
        13'b1101110000111: out = 1'b0;
        13'b1101110001000: out = 1'b0;
        13'b1101110001001: out = 1'b0;
        13'b1101110001010: out = 1'b0;
        13'b1101110001011: out = 1'b0;
        13'b1101110001100: out = 1'b0;
        13'b1101110001101: out = 1'b0;
        13'b1101110001110: out = 1'b0;
        13'b1101110001111: out = 1'b0;
        13'b1101110010000: out = 1'b0;
        13'b1101110010001: out = 1'b0;
        13'b1101110010010: out = 1'b0;
        13'b1101110010011: out = 1'b0;
        13'b1101110010100: out = 1'b0;
        13'b1101110010101: out = 1'b0;
        13'b1101110010110: out = 1'b0;
        13'b1101110010111: out = 1'b0;
        13'b1101110011000: out = 1'b0;
        13'b1101110011001: out = 1'b0;
        13'b1101110011010: out = 1'b0;
        13'b1101110011011: out = 1'b0;
        13'b1101110011100: out = 1'b0;
        13'b1101110011101: out = 1'b0;
        13'b1101110011110: out = 1'b0;
        13'b1101110011111: out = 1'b0;
        13'b1101110100000: out = 1'b0;
        13'b1101110100001: out = 1'b0;
        13'b1101110100010: out = 1'b0;
        13'b1101110100011: out = 1'b0;
        13'b1101110100100: out = 1'b0;
        13'b1101110100101: out = 1'b0;
        13'b1101110100110: out = 1'b0;
        13'b1101110100111: out = 1'b0;
        13'b1101110101000: out = 1'b0;
        13'b1101110101001: out = 1'b0;
        13'b1101110101010: out = 1'b0;
        13'b1101110101011: out = 1'b0;
        13'b1101110101100: out = 1'b0;
        13'b1101110101101: out = 1'b0;
        13'b1101110101110: out = 1'b0;
        13'b1101110101111: out = 1'b0;
        13'b1101110110000: out = 1'b0;
        13'b1101110110001: out = 1'b0;
        13'b1101110110010: out = 1'b0;
        13'b1101110110011: out = 1'b0;
        13'b1101110110100: out = 1'b0;
        13'b1101110110101: out = 1'b0;
        13'b1101110110110: out = 1'b0;
        13'b1101110110111: out = 1'b0;
        13'b1101110111000: out = 1'b0;
        13'b1101110111001: out = 1'b0;
        13'b1101110111010: out = 1'b0;
        13'b1101110111011: out = 1'b0;
        13'b1101110111100: out = 1'b0;
        13'b1101110111101: out = 1'b0;
        13'b1101110111110: out = 1'b0;
        13'b1101110111111: out = 1'b0;
        13'b1101111000000: out = 1'b0;
        13'b1101111000001: out = 1'b0;
        13'b1101111000010: out = 1'b0;
        13'b1101111000011: out = 1'b0;
        13'b1101111000100: out = 1'b0;
        13'b1101111000101: out = 1'b0;
        13'b1101111000110: out = 1'b0;
        13'b1101111000111: out = 1'b0;
        13'b1101111001000: out = 1'b0;
        13'b1101111001001: out = 1'b0;
        13'b1101111001010: out = 1'b0;
        13'b1101111001011: out = 1'b0;
        13'b1101111001100: out = 1'b0;
        13'b1101111001101: out = 1'b0;
        13'b1101111001110: out = 1'b0;
        13'b1101111001111: out = 1'b0;
        13'b1101111010000: out = 1'b0;
        13'b1101111010001: out = 1'b0;
        13'b1101111010010: out = 1'b0;
        13'b1101111010011: out = 1'b0;
        13'b1101111010100: out = 1'b0;
        13'b1101111010101: out = 1'b0;
        13'b1101111010110: out = 1'b0;
        13'b1101111010111: out = 1'b0;
        13'b1101111011000: out = 1'b0;
        13'b1101111011001: out = 1'b0;
        13'b1101111011010: out = 1'b0;
        13'b1101111011011: out = 1'b0;
        13'b1101111011100: out = 1'b0;
        13'b1101111011101: out = 1'b0;
        13'b1101111011110: out = 1'b0;
        13'b1101111011111: out = 1'b0;
        13'b1101111100000: out = 1'b0;
        13'b1101111100001: out = 1'b0;
        13'b1101111100010: out = 1'b0;
        13'b1101111100011: out = 1'b0;
        13'b1101111100100: out = 1'b0;
        13'b1101111100101: out = 1'b0;
        13'b1101111100110: out = 1'b0;
        13'b1101111100111: out = 1'b0;
        13'b1101111101000: out = 1'b0;
        13'b1101111101001: out = 1'b0;
        13'b1101111101010: out = 1'b0;
        13'b1101111101011: out = 1'b0;
        13'b1101111101100: out = 1'b0;
        13'b1101111101101: out = 1'b0;
        13'b1101111101110: out = 1'b0;
        13'b1101111101111: out = 1'b0;
        13'b1101111110000: out = 1'b0;
        13'b1101111110001: out = 1'b0;
        13'b1101111110010: out = 1'b0;
        13'b1101111110011: out = 1'b0;
        13'b1101111110100: out = 1'b0;
        13'b1101111110101: out = 1'b0;
        13'b1101111110110: out = 1'b0;
        13'b1101111110111: out = 1'b0;
        13'b1101111111000: out = 1'b0;
        13'b1101111111001: out = 1'b0;
        13'b1101111111010: out = 1'b0;
        13'b1101111111011: out = 1'b0;
        13'b1101111111100: out = 1'b0;
        13'b1101111111101: out = 1'b0;
        13'b1101111111110: out = 1'b0;
        13'b1101111111111: out = 1'b0;
        13'b1110000000000: out = 1'b0;
        13'b1110000000001: out = 1'b0;
        13'b1110000000010: out = 1'b0;
        13'b1110000000011: out = 1'b0;
        13'b1110000000100: out = 1'b0;
        13'b1110000000101: out = 1'b0;
        13'b1110000000110: out = 1'b0;
        13'b1110000000111: out = 1'b0;
        13'b1110000001000: out = 1'b0;
        13'b1110000001001: out = 1'b0;
        13'b1110000001010: out = 1'b0;
        13'b1110000001011: out = 1'b0;
        13'b1110000001100: out = 1'b0;
        13'b1110000001101: out = 1'b0;
        13'b1110000001110: out = 1'b0;
        13'b1110000001111: out = 1'b0;
        13'b1110000010000: out = 1'b0;
        13'b1110000010001: out = 1'b0;
        13'b1110000010010: out = 1'b0;
        13'b1110000010011: out = 1'b0;
        13'b1110000010100: out = 1'b0;
        13'b1110000010101: out = 1'b0;
        13'b1110000010110: out = 1'b0;
        13'b1110000010111: out = 1'b0;
        13'b1110000011000: out = 1'b0;
        13'b1110000011001: out = 1'b0;
        13'b1110000011010: out = 1'b0;
        13'b1110000011011: out = 1'b0;
        13'b1110000011100: out = 1'b0;
        13'b1110000011101: out = 1'b0;
        13'b1110000011110: out = 1'b0;
        13'b1110000011111: out = 1'b0;
        13'b1110000100000: out = 1'b0;
        13'b1110000100001: out = 1'b0;
        13'b1110000100010: out = 1'b0;
        13'b1110000100011: out = 1'b0;
        13'b1110000100100: out = 1'b0;
        13'b1110000100101: out = 1'b0;
        13'b1110000100110: out = 1'b0;
        13'b1110000100111: out = 1'b0;
        13'b1110000101000: out = 1'b0;
        13'b1110000101001: out = 1'b0;
        13'b1110000101010: out = 1'b0;
        13'b1110000101011: out = 1'b0;
        13'b1110000101100: out = 1'b0;
        13'b1110000101101: out = 1'b0;
        13'b1110000101110: out = 1'b0;
        13'b1110000101111: out = 1'b0;
        13'b1110000110000: out = 1'b0;
        13'b1110000110001: out = 1'b0;
        13'b1110000110010: out = 1'b0;
        13'b1110000110011: out = 1'b0;
        13'b1110000110100: out = 1'b0;
        13'b1110000110101: out = 1'b0;
        13'b1110000110110: out = 1'b0;
        13'b1110000110111: out = 1'b0;
        13'b1110000111000: out = 1'b0;
        13'b1110000111001: out = 1'b0;
        13'b1110000111010: out = 1'b0;
        13'b1110000111011: out = 1'b0;
        13'b1110000111100: out = 1'b0;
        13'b1110000111101: out = 1'b0;
        13'b1110000111110: out = 1'b0;
        13'b1110000111111: out = 1'b0;
        13'b1110001000000: out = 1'b0;
        13'b1110001000001: out = 1'b0;
        13'b1110001000010: out = 1'b0;
        13'b1110001000011: out = 1'b0;
        13'b1110001000100: out = 1'b0;
        13'b1110001000101: out = 1'b0;
        13'b1110001000110: out = 1'b0;
        13'b1110001000111: out = 1'b0;
        13'b1110001001000: out = 1'b0;
        13'b1110001001001: out = 1'b0;
        13'b1110001001010: out = 1'b0;
        13'b1110001001011: out = 1'b0;
        13'b1110001001100: out = 1'b0;
        13'b1110001001101: out = 1'b0;
        13'b1110001001110: out = 1'b0;
        13'b1110001001111: out = 1'b0;
        13'b1110001010000: out = 1'b0;
        13'b1110001010001: out = 1'b0;
        13'b1110001010010: out = 1'b0;
        13'b1110001010011: out = 1'b0;
        13'b1110001010100: out = 1'b0;
        13'b1110001010101: out = 1'b0;
        13'b1110001010110: out = 1'b0;
        13'b1110001010111: out = 1'b0;
        13'b1110001011000: out = 1'b0;
        13'b1110001011001: out = 1'b0;
        13'b1110001011010: out = 1'b0;
        13'b1110001011011: out = 1'b0;
        13'b1110001011100: out = 1'b0;
        13'b1110001011101: out = 1'b0;
        13'b1110001011110: out = 1'b0;
        13'b1110001011111: out = 1'b0;
        13'b1110001100000: out = 1'b0;
        13'b1110001100001: out = 1'b0;
        13'b1110001100010: out = 1'b0;
        13'b1110001100011: out = 1'b0;
        13'b1110001100100: out = 1'b0;
        13'b1110001100101: out = 1'b0;
        13'b1110001100110: out = 1'b0;
        13'b1110001100111: out = 1'b0;
        13'b1110001101000: out = 1'b0;
        13'b1110001101001: out = 1'b0;
        13'b1110001101010: out = 1'b0;
        13'b1110001101011: out = 1'b0;
        13'b1110001101100: out = 1'b0;
        13'b1110001101101: out = 1'b0;
        13'b1110001101110: out = 1'b0;
        13'b1110001101111: out = 1'b0;
        13'b1110001110000: out = 1'b0;
        13'b1110001110001: out = 1'b0;
        13'b1110001110010: out = 1'b0;
        13'b1110001110011: out = 1'b0;
        13'b1110001110100: out = 1'b0;
        13'b1110001110101: out = 1'b0;
        13'b1110001110110: out = 1'b0;
        13'b1110001110111: out = 1'b0;
        13'b1110001111000: out = 1'b0;
        13'b1110001111001: out = 1'b0;
        13'b1110001111010: out = 1'b0;
        13'b1110001111011: out = 1'b0;
        13'b1110001111100: out = 1'b0;
        13'b1110001111101: out = 1'b0;
        13'b1110001111110: out = 1'b0;
        13'b1110001111111: out = 1'b0;
        13'b1110010000000: out = 1'b0;
        13'b1110010000001: out = 1'b0;
        13'b1110010000010: out = 1'b0;
        13'b1110010000011: out = 1'b0;
        13'b1110010000100: out = 1'b0;
        13'b1110010000101: out = 1'b0;
        13'b1110010000110: out = 1'b0;
        13'b1110010000111: out = 1'b0;
        13'b1110010001000: out = 1'b0;
        13'b1110010001001: out = 1'b0;
        13'b1110010001010: out = 1'b0;
        13'b1110010001011: out = 1'b0;
        13'b1110010001100: out = 1'b0;
        13'b1110010001101: out = 1'b0;
        13'b1110010001110: out = 1'b0;
        13'b1110010001111: out = 1'b0;
        13'b1110010010000: out = 1'b0;
        13'b1110010010001: out = 1'b0;
        13'b1110010010010: out = 1'b0;
        13'b1110010010011: out = 1'b0;
        13'b1110010010100: out = 1'b0;
        13'b1110010010101: out = 1'b0;
        13'b1110010010110: out = 1'b0;
        13'b1110010010111: out = 1'b0;
        13'b1110010011000: out = 1'b0;
        13'b1110010011001: out = 1'b0;
        13'b1110010011010: out = 1'b0;
        13'b1110010011011: out = 1'b0;
        13'b1110010011100: out = 1'b0;
        13'b1110010011101: out = 1'b0;
        13'b1110010011110: out = 1'b0;
        13'b1110010011111: out = 1'b0;
        13'b1110010100000: out = 1'b0;
        13'b1110010100001: out = 1'b0;
        13'b1110010100010: out = 1'b0;
        13'b1110010100011: out = 1'b0;
        13'b1110010100100: out = 1'b0;
        13'b1110010100101: out = 1'b0;
        13'b1110010100110: out = 1'b0;
        13'b1110010100111: out = 1'b0;
        13'b1110010101000: out = 1'b0;
        13'b1110010101001: out = 1'b0;
        13'b1110010101010: out = 1'b0;
        13'b1110010101011: out = 1'b0;
        13'b1110010101100: out = 1'b0;
        13'b1110010101101: out = 1'b0;
        13'b1110010101110: out = 1'b0;
        13'b1110010101111: out = 1'b0;
        13'b1110010110000: out = 1'b0;
        13'b1110010110001: out = 1'b0;
        13'b1110010110010: out = 1'b0;
        13'b1110010110011: out = 1'b0;
        13'b1110010110100: out = 1'b0;
        13'b1110010110101: out = 1'b0;
        13'b1110010110110: out = 1'b0;
        13'b1110010110111: out = 1'b0;
        13'b1110010111000: out = 1'b0;
        13'b1110010111001: out = 1'b0;
        13'b1110010111010: out = 1'b0;
        13'b1110010111011: out = 1'b0;
        13'b1110010111100: out = 1'b0;
        13'b1110010111101: out = 1'b0;
        13'b1110010111110: out = 1'b0;
        13'b1110010111111: out = 1'b0;
        13'b1110011000000: out = 1'b0;
        13'b1110011000001: out = 1'b0;
        13'b1110011000010: out = 1'b0;
        13'b1110011000011: out = 1'b0;
        13'b1110011000100: out = 1'b0;
        13'b1110011000101: out = 1'b0;
        13'b1110011000110: out = 1'b0;
        13'b1110011000111: out = 1'b0;
        13'b1110011001000: out = 1'b0;
        13'b1110011001001: out = 1'b0;
        13'b1110011001010: out = 1'b0;
        13'b1110011001011: out = 1'b0;
        13'b1110011001100: out = 1'b0;
        13'b1110011001101: out = 1'b0;
        13'b1110011001110: out = 1'b0;
        13'b1110011001111: out = 1'b0;
        13'b1110011010000: out = 1'b0;
        13'b1110011010001: out = 1'b0;
        13'b1110011010010: out = 1'b0;
        13'b1110011010011: out = 1'b0;
        13'b1110011010100: out = 1'b0;
        13'b1110011010101: out = 1'b0;
        13'b1110011010110: out = 1'b0;
        13'b1110011010111: out = 1'b0;
        13'b1110011011000: out = 1'b0;
        13'b1110011011001: out = 1'b0;
        13'b1110011011010: out = 1'b0;
        13'b1110011011011: out = 1'b0;
        13'b1110011011100: out = 1'b0;
        13'b1110011011101: out = 1'b0;
        13'b1110011011110: out = 1'b0;
        13'b1110011011111: out = 1'b0;
        13'b1110011100000: out = 1'b0;
        13'b1110011100001: out = 1'b0;
        13'b1110011100010: out = 1'b0;
        13'b1110011100011: out = 1'b0;
        13'b1110011100100: out = 1'b0;
        13'b1110011100101: out = 1'b0;
        13'b1110011100110: out = 1'b0;
        13'b1110011100111: out = 1'b0;
        13'b1110011101000: out = 1'b0;
        13'b1110011101001: out = 1'b0;
        13'b1110011101010: out = 1'b0;
        13'b1110011101011: out = 1'b0;
        13'b1110011101100: out = 1'b0;
        13'b1110011101101: out = 1'b0;
        13'b1110011101110: out = 1'b0;
        13'b1110011101111: out = 1'b0;
        13'b1110011110000: out = 1'b0;
        13'b1110011110001: out = 1'b0;
        13'b1110011110010: out = 1'b0;
        13'b1110011110011: out = 1'b0;
        13'b1110011110100: out = 1'b0;
        13'b1110011110101: out = 1'b0;
        13'b1110011110110: out = 1'b0;
        13'b1110011110111: out = 1'b0;
        13'b1110011111000: out = 1'b0;
        13'b1110011111001: out = 1'b0;
        13'b1110011111010: out = 1'b0;
        13'b1110011111011: out = 1'b0;
        13'b1110011111100: out = 1'b0;
        13'b1110011111101: out = 1'b0;
        13'b1110011111110: out = 1'b0;
        13'b1110011111111: out = 1'b0;
        13'b1110100000000: out = 1'b0;
        13'b1110100000001: out = 1'b0;
        13'b1110100000010: out = 1'b0;
        13'b1110100000011: out = 1'b0;
        13'b1110100000100: out = 1'b0;
        13'b1110100000101: out = 1'b0;
        13'b1110100000110: out = 1'b0;
        13'b1110100000111: out = 1'b0;
        13'b1110100001000: out = 1'b0;
        13'b1110100001001: out = 1'b0;
        13'b1110100001010: out = 1'b0;
        13'b1110100001011: out = 1'b0;
        13'b1110100001100: out = 1'b0;
        13'b1110100001101: out = 1'b0;
        13'b1110100001110: out = 1'b0;
        13'b1110100001111: out = 1'b0;
        13'b1110100010000: out = 1'b0;
        13'b1110100010001: out = 1'b0;
        13'b1110100010010: out = 1'b0;
        13'b1110100010011: out = 1'b0;
        13'b1110100010100: out = 1'b0;
        13'b1110100010101: out = 1'b0;
        13'b1110100010110: out = 1'b0;
        13'b1110100010111: out = 1'b0;
        13'b1110100011000: out = 1'b0;
        13'b1110100011001: out = 1'b0;
        13'b1110100011010: out = 1'b0;
        13'b1110100011011: out = 1'b0;
        13'b1110100011100: out = 1'b0;
        13'b1110100011101: out = 1'b0;
        13'b1110100011110: out = 1'b0;
        13'b1110100011111: out = 1'b0;
        13'b1110100100000: out = 1'b0;
        13'b1110100100001: out = 1'b0;
        13'b1110100100010: out = 1'b0;
        13'b1110100100011: out = 1'b0;
        13'b1110100100100: out = 1'b0;
        13'b1110100100101: out = 1'b0;
        13'b1110100100110: out = 1'b0;
        13'b1110100100111: out = 1'b0;
        13'b1110100101000: out = 1'b0;
        13'b1110100101001: out = 1'b0;
        13'b1110100101010: out = 1'b0;
        13'b1110100101011: out = 1'b0;
        13'b1110100101100: out = 1'b0;
        13'b1110100101101: out = 1'b0;
        13'b1110100101110: out = 1'b0;
        13'b1110100101111: out = 1'b0;
        13'b1110100110000: out = 1'b0;
        13'b1110100110001: out = 1'b0;
        13'b1110100110010: out = 1'b0;
        13'b1110100110011: out = 1'b0;
        13'b1110100110100: out = 1'b0;
        13'b1110100110101: out = 1'b0;
        13'b1110100110110: out = 1'b0;
        13'b1110100110111: out = 1'b0;
        13'b1110100111000: out = 1'b0;
        13'b1110100111001: out = 1'b0;
        13'b1110100111010: out = 1'b0;
        13'b1110100111011: out = 1'b0;
        13'b1110100111100: out = 1'b0;
        13'b1110100111101: out = 1'b0;
        13'b1110100111110: out = 1'b0;
        13'b1110100111111: out = 1'b0;
        13'b1110101000000: out = 1'b0;
        13'b1110101000001: out = 1'b0;
        13'b1110101000010: out = 1'b0;
        13'b1110101000011: out = 1'b0;
        13'b1110101000100: out = 1'b0;
        13'b1110101000101: out = 1'b0;
        13'b1110101000110: out = 1'b0;
        13'b1110101000111: out = 1'b0;
        13'b1110101001000: out = 1'b0;
        13'b1110101001001: out = 1'b0;
        13'b1110101001010: out = 1'b0;
        13'b1110101001011: out = 1'b0;
        13'b1110101001100: out = 1'b0;
        13'b1110101001101: out = 1'b0;
        13'b1110101001110: out = 1'b0;
        13'b1110101001111: out = 1'b0;
        13'b1110101010000: out = 1'b0;
        13'b1110101010001: out = 1'b0;
        13'b1110101010010: out = 1'b0;
        13'b1110101010011: out = 1'b0;
        13'b1110101010100: out = 1'b0;
        13'b1110101010101: out = 1'b0;
        13'b1110101010110: out = 1'b0;
        13'b1110101010111: out = 1'b0;
        13'b1110101011000: out = 1'b0;
        13'b1110101011001: out = 1'b0;
        13'b1110101011010: out = 1'b0;
        13'b1110101011011: out = 1'b0;
        13'b1110101011100: out = 1'b0;
        13'b1110101011101: out = 1'b0;
        13'b1110101011110: out = 1'b0;
        13'b1110101011111: out = 1'b0;
        13'b1110101100000: out = 1'b0;
        13'b1110101100001: out = 1'b0;
        13'b1110101100010: out = 1'b0;
        13'b1110101100011: out = 1'b0;
        13'b1110101100100: out = 1'b0;
        13'b1110101100101: out = 1'b0;
        13'b1110101100110: out = 1'b0;
        13'b1110101100111: out = 1'b0;
        13'b1110101101000: out = 1'b0;
        13'b1110101101001: out = 1'b0;
        13'b1110101101010: out = 1'b0;
        13'b1110101101011: out = 1'b0;
        13'b1110101101100: out = 1'b0;
        13'b1110101101101: out = 1'b0;
        13'b1110101101110: out = 1'b0;
        13'b1110101101111: out = 1'b0;
        13'b1110101110000: out = 1'b0;
        13'b1110101110001: out = 1'b0;
        13'b1110101110010: out = 1'b0;
        13'b1110101110011: out = 1'b0;
        13'b1110101110100: out = 1'b0;
        13'b1110101110101: out = 1'b0;
        13'b1110101110110: out = 1'b0;
        13'b1110101110111: out = 1'b0;
        13'b1110101111000: out = 1'b0;
        13'b1110101111001: out = 1'b0;
        13'b1110101111010: out = 1'b0;
        13'b1110101111011: out = 1'b0;
        13'b1110101111100: out = 1'b0;
        13'b1110101111101: out = 1'b0;
        13'b1110101111110: out = 1'b0;
        13'b1110101111111: out = 1'b0;
        13'b1110110000000: out = 1'b0;
        13'b1110110000001: out = 1'b0;
        13'b1110110000010: out = 1'b0;
        13'b1110110000011: out = 1'b0;
        13'b1110110000100: out = 1'b0;
        13'b1110110000101: out = 1'b0;
        13'b1110110000110: out = 1'b0;
        13'b1110110000111: out = 1'b0;
        13'b1110110001000: out = 1'b0;
        13'b1110110001001: out = 1'b0;
        13'b1110110001010: out = 1'b0;
        13'b1110110001011: out = 1'b0;
        13'b1110110001100: out = 1'b0;
        13'b1110110001101: out = 1'b0;
        13'b1110110001110: out = 1'b0;
        13'b1110110001111: out = 1'b0;
        13'b1110110010000: out = 1'b0;
        13'b1110110010001: out = 1'b0;
        13'b1110110010010: out = 1'b0;
        13'b1110110010011: out = 1'b0;
        13'b1110110010100: out = 1'b0;
        13'b1110110010101: out = 1'b0;
        13'b1110110010110: out = 1'b0;
        13'b1110110010111: out = 1'b0;
        13'b1110110011000: out = 1'b0;
        13'b1110110011001: out = 1'b0;
        13'b1110110011010: out = 1'b0;
        13'b1110110011011: out = 1'b0;
        13'b1110110011100: out = 1'b0;
        13'b1110110011101: out = 1'b0;
        13'b1110110011110: out = 1'b0;
        13'b1110110011111: out = 1'b0;
        13'b1110110100000: out = 1'b0;
        13'b1110110100001: out = 1'b0;
        13'b1110110100010: out = 1'b0;
        13'b1110110100011: out = 1'b0;
        13'b1110110100100: out = 1'b0;
        13'b1110110100101: out = 1'b0;
        13'b1110110100110: out = 1'b0;
        13'b1110110100111: out = 1'b0;
        13'b1110110101000: out = 1'b0;
        13'b1110110101001: out = 1'b0;
        13'b1110110101010: out = 1'b0;
        13'b1110110101011: out = 1'b0;
        13'b1110110101100: out = 1'b0;
        13'b1110110101101: out = 1'b0;
        13'b1110110101110: out = 1'b0;
        13'b1110110101111: out = 1'b0;
        13'b1110110110000: out = 1'b0;
        13'b1110110110001: out = 1'b0;
        13'b1110110110010: out = 1'b0;
        13'b1110110110011: out = 1'b0;
        13'b1110110110100: out = 1'b0;
        13'b1110110110101: out = 1'b0;
        13'b1110110110110: out = 1'b0;
        13'b1110110110111: out = 1'b0;
        13'b1110110111000: out = 1'b0;
        13'b1110110111001: out = 1'b0;
        13'b1110110111010: out = 1'b0;
        13'b1110110111011: out = 1'b0;
        13'b1110110111100: out = 1'b0;
        13'b1110110111101: out = 1'b0;
        13'b1110110111110: out = 1'b0;
        13'b1110110111111: out = 1'b0;
        13'b1110111000000: out = 1'b0;
        13'b1110111000001: out = 1'b0;
        13'b1110111000010: out = 1'b0;
        13'b1110111000011: out = 1'b0;
        13'b1110111000100: out = 1'b0;
        13'b1110111000101: out = 1'b0;
        13'b1110111000110: out = 1'b0;
        13'b1110111000111: out = 1'b0;
        13'b1110111001000: out = 1'b0;
        13'b1110111001001: out = 1'b0;
        13'b1110111001010: out = 1'b0;
        13'b1110111001011: out = 1'b0;
        13'b1110111001100: out = 1'b0;
        13'b1110111001101: out = 1'b0;
        13'b1110111001110: out = 1'b0;
        13'b1110111001111: out = 1'b0;
        13'b1110111010000: out = 1'b0;
        13'b1110111010001: out = 1'b0;
        13'b1110111010010: out = 1'b0;
        13'b1110111010011: out = 1'b0;
        13'b1110111010100: out = 1'b0;
        13'b1110111010101: out = 1'b0;
        13'b1110111010110: out = 1'b0;
        13'b1110111010111: out = 1'b0;
        13'b1110111011000: out = 1'b0;
        13'b1110111011001: out = 1'b0;
        13'b1110111011010: out = 1'b0;
        13'b1110111011011: out = 1'b0;
        13'b1110111011100: out = 1'b0;
        13'b1110111011101: out = 1'b0;
        13'b1110111011110: out = 1'b0;
        13'b1110111011111: out = 1'b0;
        13'b1110111100000: out = 1'b0;
        13'b1110111100001: out = 1'b0;
        13'b1110111100010: out = 1'b0;
        13'b1110111100011: out = 1'b0;
        13'b1110111100100: out = 1'b0;
        13'b1110111100101: out = 1'b0;
        13'b1110111100110: out = 1'b0;
        13'b1110111100111: out = 1'b0;
        13'b1110111101000: out = 1'b0;
        13'b1110111101001: out = 1'b0;
        13'b1110111101010: out = 1'b0;
        13'b1110111101011: out = 1'b0;
        13'b1110111101100: out = 1'b0;
        13'b1110111101101: out = 1'b0;
        13'b1110111101110: out = 1'b0;
        13'b1110111101111: out = 1'b0;
        13'b1110111110000: out = 1'b0;
        13'b1110111110001: out = 1'b0;
        13'b1110111110010: out = 1'b0;
        13'b1110111110011: out = 1'b0;
        13'b1110111110100: out = 1'b0;
        13'b1110111110101: out = 1'b0;
        13'b1110111110110: out = 1'b0;
        13'b1110111110111: out = 1'b0;
        13'b1110111111000: out = 1'b0;
        13'b1110111111001: out = 1'b0;
        13'b1110111111010: out = 1'b0;
        13'b1110111111011: out = 1'b0;
        13'b1110111111100: out = 1'b0;
        13'b1110111111101: out = 1'b0;
        13'b1110111111110: out = 1'b0;
        13'b1110111111111: out = 1'b0;
        13'b1111000000000: out = 1'b1;
        13'b1111000000001: out = 1'b1;
        13'b1111000000010: out = 1'b0;
        13'b1111000000011: out = 1'b1;
        13'b1111000000100: out = 1'b1;
        13'b1111000000101: out = 1'b0;
        13'b1111000000110: out = 1'b0;
        13'b1111000000111: out = 1'b0;
        13'b1111000001000: out = 1'b0;
        13'b1111000001001: out = 1'b0;
        13'b1111000001010: out = 1'b1;
        13'b1111000001011: out = 1'b1;
        13'b1111000001100: out = 1'b1;
        13'b1111000001101: out = 1'b1;
        13'b1111000001110: out = 1'b1;
        13'b1111000001111: out = 1'b1;
        13'b1111000010000: out = 1'b0;
        13'b1111000010001: out = 1'b0;
        13'b1111000010010: out = 1'b0;
        13'b1111000010011: out = 1'b1;
        13'b1111000010100: out = 1'b1;
        13'b1111000010101: out = 1'b0;
        13'b1111000010110: out = 1'b0;
        13'b1111000010111: out = 1'b0;
        13'b1111000011000: out = 1'b1;
        13'b1111000011001: out = 1'b1;
        13'b1111000011010: out = 1'b0;
        13'b1111000011011: out = 1'b0;
        13'b1111000011100: out = 1'b0;
        13'b1111000011101: out = 1'b1;
        13'b1111000011110: out = 1'b1;
        13'b1111000011111: out = 1'b0;
        13'b1111000100000: out = 1'b0;
        13'b1111000100001: out = 1'b0;
        13'b1111000100010: out = 1'b1;
        13'b1111000100011: out = 1'b1;
        13'b1111000100100: out = 1'b0;
        13'b1111000100101: out = 1'b0;
        13'b1111000100110: out = 1'b1;
        13'b1111000100111: out = 1'b1;
        13'b1111000101000: out = 1'b1;
        13'b1111000101001: out = 1'b1;
        13'b1111000101010: out = 1'b0;
        13'b1111000101011: out = 1'b0;
        13'b1111000101100: out = 1'b1;
        13'b1111000101101: out = 1'b1;
        13'b1111000101110: out = 1'b0;
        13'b1111000101111: out = 1'b0;
        13'b1111000110000: out = 1'b1;
        13'b1111000110001: out = 1'b1;
        13'b1111000110010: out = 1'b0;
        13'b1111000110011: out = 1'b0;
        13'b1111000110100: out = 1'b0;
        13'b1111000110101: out = 1'b0;
        13'b1111000110110: out = 1'b0;
        13'b1111000110111: out = 1'b0;
        13'b1111000111000: out = 1'b0;
        13'b1111000111001: out = 1'b0;
        13'b1111000111010: out = 1'b0;
        13'b1111000111011: out = 1'b0;
        13'b1111000111100: out = 1'b0;
        13'b1111000111101: out = 1'b0;
        13'b1111000111110: out = 1'b0;
        13'b1111000111111: out = 1'b0;
        13'b1111001000000: out = 1'b0;
        13'b1111001000001: out = 1'b0;
        13'b1111001000010: out = 1'b0;
        13'b1111001000011: out = 1'b0;
        13'b1111001000100: out = 1'b0;
        13'b1111001000101: out = 1'b0;
        13'b1111001000110: out = 1'b0;
        13'b1111001000111: out = 1'b0;
        13'b1111001001000: out = 1'b0;
        13'b1111001001001: out = 1'b0;
        13'b1111001001010: out = 1'b0;
        13'b1111001001011: out = 1'b0;
        13'b1111001001100: out = 1'b0;
        13'b1111001001101: out = 1'b0;
        13'b1111001001110: out = 1'b0;
        13'b1111001001111: out = 1'b0;
        13'b1111001010000: out = 1'b0;
        13'b1111001010001: out = 1'b0;
        13'b1111001010010: out = 1'b0;
        13'b1111001010011: out = 1'b0;
        13'b1111001010100: out = 1'b0;
        13'b1111001010101: out = 1'b0;
        13'b1111001010110: out = 1'b1;
        13'b1111001010111: out = 1'b1;
        13'b1111001011000: out = 1'b1;
        13'b1111001011001: out = 1'b1;
        13'b1111001011010: out = 1'b1;
        13'b1111001011011: out = 1'b1;
        13'b1111001011100: out = 1'b1;
        13'b1111001011101: out = 1'b1;
        13'b1111001011110: out = 1'b0;
        13'b1111001011111: out = 1'b0;
        13'b1111001100000: out = 1'b0;
        13'b1111001100001: out = 1'b0;
        13'b1111001100010: out = 1'b0;
        13'b1111001100011: out = 1'b0;
        13'b1111001100100: out = 1'b0;
        13'b1111001100101: out = 1'b0;
        13'b1111001100110: out = 1'b0;
        13'b1111001100111: out = 1'b0;
        13'b1111001101000: out = 1'b0;
        13'b1111001101001: out = 1'b0;
        13'b1111001101010: out = 1'b0;
        13'b1111001101011: out = 1'b1;
        13'b1111001101100: out = 1'b1;
        13'b1111001101101: out = 1'b1;
        13'b1111001101110: out = 1'b1;
        13'b1111001101111: out = 1'b0;
        13'b1111001110000: out = 1'b0;
        13'b1111001110001: out = 1'b0;
        13'b1111001110010: out = 1'b1;
        13'b1111001110011: out = 1'b1;
        13'b1111001110100: out = 1'b1;
        13'b1111001110101: out = 1'b1;
        13'b1111001110110: out = 1'b0;
        13'b1111001110111: out = 1'b0;
        13'b1111001111000: out = 1'b1;
        13'b1111001111001: out = 1'b1;
        13'b1111001111010: out = 1'b0;
        13'b1111001111011: out = 1'b0;
        13'b1111001111100: out = 1'b1;
        13'b1111001111101: out = 1'b1;
        13'b1111001111110: out = 1'b0;
        13'b1111001111111: out = 1'b0;
        13'b1111010000000: out = 1'b1;
        13'b1111010000001: out = 1'b1;
        13'b1111010000010: out = 1'b0;
        13'b1111010000011: out = 1'b1;
        13'b1111010000100: out = 1'b1;
        13'b1111010000101: out = 1'b0;
        13'b1111010000110: out = 1'b0;
        13'b1111010000111: out = 1'b0;
        13'b1111010001000: out = 1'b0;
        13'b1111010001001: out = 1'b0;
        13'b1111010001010: out = 1'b1;
        13'b1111010001011: out = 1'b1;
        13'b1111010001100: out = 1'b1;
        13'b1111010001101: out = 1'b1;
        13'b1111010001110: out = 1'b1;
        13'b1111010001111: out = 1'b1;
        13'b1111010010000: out = 1'b0;
        13'b1111010010001: out = 1'b0;
        13'b1111010010010: out = 1'b0;
        13'b1111010010011: out = 1'b1;
        13'b1111010010100: out = 1'b1;
        13'b1111010010101: out = 1'b0;
        13'b1111010010110: out = 1'b0;
        13'b1111010010111: out = 1'b0;
        13'b1111010011000: out = 1'b1;
        13'b1111010011001: out = 1'b1;
        13'b1111010011010: out = 1'b0;
        13'b1111010011011: out = 1'b0;
        13'b1111010011100: out = 1'b0;
        13'b1111010011101: out = 1'b1;
        13'b1111010011110: out = 1'b1;
        13'b1111010011111: out = 1'b0;
        13'b1111010100000: out = 1'b0;
        13'b1111010100001: out = 1'b0;
        13'b1111010100010: out = 1'b1;
        13'b1111010100011: out = 1'b1;
        13'b1111010100100: out = 1'b0;
        13'b1111010100101: out = 1'b1;
        13'b1111010100110: out = 1'b1;
        13'b1111010100111: out = 1'b1;
        13'b1111010101000: out = 1'b1;
        13'b1111010101001: out = 1'b1;
        13'b1111010101010: out = 1'b1;
        13'b1111010101011: out = 1'b0;
        13'b1111010101100: out = 1'b1;
        13'b1111010101101: out = 1'b1;
        13'b1111010101110: out = 1'b0;
        13'b1111010101111: out = 1'b0;
        13'b1111010110000: out = 1'b1;
        13'b1111010110001: out = 1'b1;
        13'b1111010110010: out = 1'b0;
        13'b1111010110011: out = 1'b0;
        13'b1111010110100: out = 1'b0;
        13'b1111010110101: out = 1'b0;
        13'b1111010110110: out = 1'b0;
        13'b1111010110111: out = 1'b0;
        13'b1111010111000: out = 1'b0;
        13'b1111010111001: out = 1'b0;
        13'b1111010111010: out = 1'b0;
        13'b1111010111011: out = 1'b0;
        13'b1111010111100: out = 1'b0;
        13'b1111010111101: out = 1'b0;
        13'b1111010111110: out = 1'b0;
        13'b1111010111111: out = 1'b0;
        13'b1111011000000: out = 1'b0;
        13'b1111011000001: out = 1'b0;
        13'b1111011000010: out = 1'b0;
        13'b1111011000011: out = 1'b0;
        13'b1111011000100: out = 1'b0;
        13'b1111011000101: out = 1'b0;
        13'b1111011000110: out = 1'b0;
        13'b1111011000111: out = 1'b0;
        13'b1111011001000: out = 1'b0;
        13'b1111011001001: out = 1'b0;
        13'b1111011001010: out = 1'b0;
        13'b1111011001011: out = 1'b0;
        13'b1111011001100: out = 1'b0;
        13'b1111011001101: out = 1'b0;
        13'b1111011001110: out = 1'b0;
        13'b1111011001111: out = 1'b0;
        13'b1111011010000: out = 1'b0;
        13'b1111011010001: out = 1'b0;
        13'b1111011010010: out = 1'b0;
        13'b1111011010011: out = 1'b0;
        13'b1111011010100: out = 1'b1;
        13'b1111011010101: out = 1'b1;
        13'b1111011010110: out = 1'b1;
        13'b1111011010111: out = 1'b1;
        13'b1111011011000: out = 1'b1;
        13'b1111011011001: out = 1'b1;
        13'b1111011011010: out = 1'b1;
        13'b1111011011011: out = 1'b1;
        13'b1111011011100: out = 1'b1;
        13'b1111011011101: out = 1'b1;
        13'b1111011011110: out = 1'b0;
        13'b1111011011111: out = 1'b1;
        13'b1111011100000: out = 1'b0;
        13'b1111011100001: out = 1'b0;
        13'b1111011100010: out = 1'b0;
        13'b1111011100011: out = 1'b0;
        13'b1111011100100: out = 1'b0;
        13'b1111011100101: out = 1'b0;
        13'b1111011100110: out = 1'b0;
        13'b1111011100111: out = 1'b0;
        13'b1111011101000: out = 1'b0;
        13'b1111011101001: out = 1'b0;
        13'b1111011101010: out = 1'b1;
        13'b1111011101011: out = 1'b1;
        13'b1111011101100: out = 1'b1;
        13'b1111011101101: out = 1'b1;
        13'b1111011101110: out = 1'b1;
        13'b1111011101111: out = 1'b1;
        13'b1111011110000: out = 1'b0;
        13'b1111011110001: out = 1'b1;
        13'b1111011110010: out = 1'b1;
        13'b1111011110011: out = 1'b1;
        13'b1111011110100: out = 1'b1;
        13'b1111011110101: out = 1'b1;
        13'b1111011110110: out = 1'b1;
        13'b1111011110111: out = 1'b0;
        13'b1111011111000: out = 1'b1;
        13'b1111011111001: out = 1'b1;
        13'b1111011111010: out = 1'b0;
        13'b1111011111011: out = 1'b0;
        13'b1111011111100: out = 1'b1;
        13'b1111011111101: out = 1'b1;
        13'b1111011111110: out = 1'b0;
        13'b1111011111111: out = 1'b0;
        13'b1111100000000: out = 1'b1;
        13'b1111100000001: out = 1'b1;
        13'b1111100000010: out = 1'b0;
        13'b1111100000011: out = 1'b1;
        13'b1111100000100: out = 1'b1;
        13'b1111100000101: out = 1'b0;
        13'b1111100000110: out = 1'b0;
        13'b1111100000111: out = 1'b0;
        13'b1111100001000: out = 1'b0;
        13'b1111100001001: out = 1'b0;
        13'b1111100001010: out = 1'b1;
        13'b1111100001011: out = 1'b1;
        13'b1111100001100: out = 1'b0;
        13'b1111100001101: out = 1'b0;
        13'b1111100001110: out = 1'b0;
        13'b1111100001111: out = 1'b0;
        13'b1111100010000: out = 1'b0;
        13'b1111100010001: out = 1'b0;
        13'b1111100010010: out = 1'b0;
        13'b1111100010011: out = 1'b1;
        13'b1111100010100: out = 1'b1;
        13'b1111100010101: out = 1'b0;
        13'b1111100010110: out = 1'b0;
        13'b1111100010111: out = 1'b0;
        13'b1111100011000: out = 1'b1;
        13'b1111100011001: out = 1'b1;
        13'b1111100011010: out = 1'b0;
        13'b1111100011011: out = 1'b0;
        13'b1111100011100: out = 1'b0;
        13'b1111100011101: out = 1'b1;
        13'b1111100011110: out = 1'b1;
        13'b1111100011111: out = 1'b0;
        13'b1111100100000: out = 1'b0;
        13'b1111100100001: out = 1'b0;
        13'b1111100100010: out = 1'b1;
        13'b1111100100011: out = 1'b1;
        13'b1111100100100: out = 1'b0;
        13'b1111100100101: out = 1'b1;
        13'b1111100100110: out = 1'b1;
        13'b1111100100111: out = 1'b0;
        13'b1111100101000: out = 1'b0;
        13'b1111100101001: out = 1'b1;
        13'b1111100101010: out = 1'b1;
        13'b1111100101011: out = 1'b0;
        13'b1111100101100: out = 1'b1;
        13'b1111100101101: out = 1'b1;
        13'b1111100101110: out = 1'b0;
        13'b1111100101111: out = 1'b0;
        13'b1111100110000: out = 1'b1;
        13'b1111100110001: out = 1'b1;
        13'b1111100110010: out = 1'b0;
        13'b1111100110011: out = 1'b0;
        13'b1111100110100: out = 1'b0;
        13'b1111100110101: out = 1'b0;
        13'b1111100110110: out = 1'b0;
        13'b1111100110111: out = 1'b0;
        13'b1111100111000: out = 1'b0;
        13'b1111100111001: out = 1'b0;
        13'b1111100111010: out = 1'b0;
        13'b1111100111011: out = 1'b0;
        13'b1111100111100: out = 1'b0;
        13'b1111100111101: out = 1'b0;
        13'b1111100111110: out = 1'b0;
        13'b1111100111111: out = 1'b0;
        13'b1111101000000: out = 1'b0;
        13'b1111101000001: out = 1'b0;
        13'b1111101000010: out = 1'b0;
        13'b1111101000011: out = 1'b0;
        13'b1111101000100: out = 1'b0;
        13'b1111101000101: out = 1'b0;
        13'b1111101000110: out = 1'b0;
        13'b1111101000111: out = 1'b0;
        13'b1111101001000: out = 1'b0;
        13'b1111101001001: out = 1'b0;
        13'b1111101001010: out = 1'b0;
        13'b1111101001011: out = 1'b0;
        13'b1111101001100: out = 1'b0;
        13'b1111101001101: out = 1'b0;
        13'b1111101001110: out = 1'b0;
        13'b1111101001111: out = 1'b0;
        13'b1111101010000: out = 1'b0;
        13'b1111101010001: out = 1'b0;
        13'b1111101010010: out = 1'b1;
        13'b1111101010011: out = 1'b1;
        13'b1111101010100: out = 1'b1;
        13'b1111101010101: out = 1'b1;
        13'b1111101010110: out = 1'b1;
        13'b1111101010111: out = 1'b0;
        13'b1111101011000: out = 1'b0;
        13'b1111101011001: out = 1'b0;
        13'b1111101011010: out = 1'b0;
        13'b1111101011011: out = 1'b1;
        13'b1111101011100: out = 1'b1;
        13'b1111101011101: out = 1'b1;
        13'b1111101011110: out = 1'b0;
        13'b1111101011111: out = 1'b1;
        13'b1111101100000: out = 1'b1;
        13'b1111101100001: out = 1'b1;
        13'b1111101100010: out = 1'b0;
        13'b1111101100011: out = 1'b0;
        13'b1111101100100: out = 1'b0;
        13'b1111101100101: out = 1'b0;
        13'b1111101100110: out = 1'b0;
        13'b1111101100111: out = 1'b0;
        13'b1111101101000: out = 1'b0;
        13'b1111101101001: out = 1'b0;
        13'b1111101101010: out = 1'b1;
        13'b1111101101011: out = 1'b1;
        13'b1111101101100: out = 1'b0;
        13'b1111101101101: out = 1'b0;
        13'b1111101101110: out = 1'b1;
        13'b1111101101111: out = 1'b1;
        13'b1111101110000: out = 1'b0;
        13'b1111101110001: out = 1'b1;
        13'b1111101110010: out = 1'b1;
        13'b1111101110011: out = 1'b0;
        13'b1111101110100: out = 1'b0;
        13'b1111101110101: out = 1'b1;
        13'b1111101110110: out = 1'b1;
        13'b1111101110111: out = 1'b0;
        13'b1111101111000: out = 1'b1;
        13'b1111101111001: out = 1'b1;
        13'b1111101111010: out = 1'b0;
        13'b1111101111011: out = 1'b0;
        13'b1111101111100: out = 1'b1;
        13'b1111101111101: out = 1'b1;
        13'b1111101111110: out = 1'b0;
        13'b1111101111111: out = 1'b0;
        13'b1111110000000: out = 1'b1;
        13'b1111110000001: out = 1'b1;
        13'b1111110000010: out = 1'b0;
        13'b1111110000011: out = 1'b1;
        13'b1111110000100: out = 1'b1;
        13'b1111110000101: out = 1'b0;
        13'b1111110000110: out = 1'b0;
        13'b1111110000111: out = 1'b0;
        13'b1111110001000: out = 1'b0;
        13'b1111110001001: out = 1'b0;
        13'b1111110001010: out = 1'b1;
        13'b1111110001011: out = 1'b1;
        13'b1111110001100: out = 1'b0;
        13'b1111110001101: out = 1'b0;
        13'b1111110001110: out = 1'b0;
        13'b1111110001111: out = 1'b0;
        13'b1111110010000: out = 1'b0;
        13'b1111110010001: out = 1'b0;
        13'b1111110010010: out = 1'b0;
        13'b1111110010011: out = 1'b1;
        13'b1111110010100: out = 1'b1;
        13'b1111110010101: out = 1'b0;
        13'b1111110010110: out = 1'b0;
        13'b1111110010111: out = 1'b0;
        13'b1111110011000: out = 1'b1;
        13'b1111110011001: out = 1'b1;
        13'b1111110011010: out = 1'b0;
        13'b1111110011011: out = 1'b0;
        13'b1111110011100: out = 1'b0;
        13'b1111110011101: out = 1'b1;
        13'b1111110011110: out = 1'b1;
        13'b1111110011111: out = 1'b0;
        13'b1111110100000: out = 1'b0;
        13'b1111110100001: out = 1'b0;
        13'b1111110100010: out = 1'b1;
        13'b1111110100011: out = 1'b1;
        13'b1111110100100: out = 1'b0;
        13'b1111110100101: out = 1'b1;
        13'b1111110100110: out = 1'b1;
        13'b1111110100111: out = 1'b0;
        13'b1111110101000: out = 1'b0;
        13'b1111110101001: out = 1'b1;
        13'b1111110101010: out = 1'b1;
        13'b1111110101011: out = 1'b0;
        13'b1111110101100: out = 1'b1;
        13'b1111110101101: out = 1'b1;
        13'b1111110101110: out = 1'b0;
        13'b1111110101111: out = 1'b0;
        13'b1111110110000: out = 1'b1;
        13'b1111110110001: out = 1'b1;
        13'b1111110110010: out = 1'b0;
        13'b1111110110011: out = 1'b0;
        13'b1111110110100: out = 1'b0;
        13'b1111110110101: out = 1'b0;
        13'b1111110110110: out = 1'b0;
        13'b1111110110111: out = 1'b0;
        13'b1111110111000: out = 1'b0;
        13'b1111110111001: out = 1'b0;
        13'b1111110111010: out = 1'b0;
        13'b1111110111011: out = 1'b0;
        13'b1111110111100: out = 1'b0;
        13'b1111110111101: out = 1'b0;
        13'b1111110111110: out = 1'b0;
        13'b1111110111111: out = 1'b0;
        13'b1111111000000: out = 1'b0;
        13'b1111111000001: out = 1'b0;
        13'b1111111000010: out = 1'b0;
        13'b1111111000011: out = 1'b0;
        13'b1111111000100: out = 1'b0;
        13'b1111111000101: out = 1'b0;
        13'b1111111000110: out = 1'b0;
        13'b1111111000111: out = 1'b0;
        13'b1111111001000: out = 1'b0;
        13'b1111111001001: out = 1'b0;
        13'b1111111001010: out = 1'b0;
        13'b1111111001011: out = 1'b0;
        13'b1111111001100: out = 1'b0;
        13'b1111111001101: out = 1'b0;
        13'b1111111001110: out = 1'b0;
        13'b1111111001111: out = 1'b0;
        13'b1111111010000: out = 1'b0;
        13'b1111111010001: out = 1'b1;
        13'b1111111010010: out = 1'b1;
        13'b1111111010011: out = 1'b1;
        13'b1111111010100: out = 1'b1;
        13'b1111111010101: out = 1'b0;
        13'b1111111010110: out = 1'b0;
        13'b1111111010111: out = 1'b0;
        13'b1111111011000: out = 1'b0;
        13'b1111111011001: out = 1'b0;
        13'b1111111011010: out = 1'b0;
        13'b1111111011011: out = 1'b1;
        13'b1111111011100: out = 1'b1;
        13'b1111111011101: out = 1'b1;
        13'b1111111011110: out = 1'b0;
        13'b1111111011111: out = 1'b1;
        13'b1111111100000: out = 1'b1;
        13'b1111111100001: out = 1'b1;
        13'b1111111100010: out = 1'b1;
        13'b1111111100011: out = 1'b0;
        13'b1111111100100: out = 1'b0;
        13'b1111111100101: out = 1'b0;
        13'b1111111100110: out = 1'b0;
        13'b1111111100111: out = 1'b0;
        13'b1111111101000: out = 1'b0;
        13'b1111111101001: out = 1'b0;
        13'b1111111101010: out = 1'b1;
        13'b1111111101011: out = 1'b1;
        13'b1111111101100: out = 1'b0;
        13'b1111111101101: out = 1'b0;
        13'b1111111101110: out = 1'b1;
        13'b1111111101111: out = 1'b1;
        13'b1111111110000: out = 1'b0;
        13'b1111111110001: out = 1'b1;
        13'b1111111110010: out = 1'b1;
        13'b1111111110011: out = 1'b0;
        13'b1111111110100: out = 1'b0;
        13'b1111111110101: out = 1'b1;
        13'b1111111110110: out = 1'b1;
        13'b1111111110111: out = 1'b0;
        13'b1111111111000: out = 1'b1;
        13'b1111111111001: out = 1'b1;
        13'b1111111111010: out = 1'b0;
        13'b1111111111011: out = 1'b0;
        13'b1111111111100: out = 1'b1;
        13'b1111111111101: out = 1'b1;
        13'b1111111111110: out = 1'b0;
        13'b1111111111111: out = 1'b0;
    endcase
end

endmodule


`default_nettype none

module capsule(
    input wire [9:0] tf_x,
    input wire [9:0] tf_y,
    output wire hit
);

wire x_valid = (tf_x[9:7] == 3'b000) || (tf_x[9:7] == 3'b111);
wire y_valid = (tf_y[9:6] == 4'b0000) || (tf_y[9:6] == 4'b1111);
wire valid = x_valid && y_valid;

wire linear = tf_x[6] == tf_x[9];

wire [5:0] x_abs = linear ? 6'b0 : (tf_x[9] ? ~tf_x[5:0] : tf_x[5:0]);
wire [5:0] y_abs = tf_y[9] ? ~tf_y[5:0] : tf_y[5:0];

wire [5:0] arc;

arc_table i_arc_table(
    .in(x_abs),
    .out(arc)
);

assign hit = valid ? (y_abs <= arc) : 0;

endmodule


`default_nettype none

module colors(
    input wire clk,
    input wire rst,
    input wire update,
    input wire [1:0] entropy,
    output wire [5:0] capsule_color,
    output wire [5:0] text_color
);

reg [1:0] red;
reg [1:0] green;
reg [1:0] blue;

wire [5:0] light_text = {1'b1, red[1], 1'b1, green[1], 1'b1, blue[1]};
wire [5:0] dark_text = {red[1]&red[0], red[1]&~red[0], green[1]&green[0], green[1]&~green[0], blue[1]&blue[0], blue[1]&~blue[0]};
wire use_dark_text = green[1]&green[0];

assign capsule_color = {red, green, blue};
assign text_color = use_dark_text ? dark_text : light_text;

wire red_1_ok = green[1] || (green[0] && blue[1]);
wire green_1_ok = red[1] || blue[1];
wire green_0_ok = red[1];
wire blue_1_ok = red[1] || green[1] || green[0];

reg [1:0] channel;

always @(posedge clk) begin
    if(rst) begin
        red <= 2'b11;
        green <= 2'b01;
        blue <= 2'b01;
        channel <= 2'b10;
    end else if(update) begin
        case(channel)
            2'b00:
                begin
                    case(red)
                        2'b00: red <= 2'b01;
                        2'b01: red <= entropy[0] ? 2'b00 : 2'b10;
                        2'b10: red <= (entropy[0] && red_1_ok) ? 2'b01 : 2'b11;
                        2'b11: red <= 2'b10;
                    endcase
                    channel <= entropy[1] ? 2'b01 : 2'b10;
                end
            2'b01:
                begin
                    case(green)
                        2'b00: green <= 2'b01;
                        2'b01: green <= (entropy[0] && green_0_ok) ? 2'b00 : 2'b10;
                        2'b10: green <= (entropy[0] && green_1_ok) ? 2'b01 : 2'b11;
                        2'b11: green <= 2'b10;
                    endcase
                    channel <= entropy[1] ? 2'b10 : 2'b00;
                end
            2'b10:
                begin
                    case(blue)
                        2'b00: blue <= 2'b01;
                        2'b01: blue <= entropy[0] ? 2'b00 : 2'b10;
                        2'b10: blue <= (entropy[0] && blue_1_ok) ? 2'b01: 2'b11;
                        2'b11: blue <= 2'b10;
                    endcase
                    channel <= entropy[1] ? 2'b00 : 2'b01;
                end
            default:
                begin
                    red <= 2'b11;
                    green <= 2'b01;
                    blue <= 2'b01;
                    channel <= 2'b10;
                end
        endcase
    end
end

endmodule


`default_nettype none

module transform(
    input wire clk,
    input wire update,
    input wire [9:0] vga_x,
    input wire [9:0] vga_y,
    input wire [9:0] center_x,
    input wire [9:0] center_y,
    input wire [5:0] dx,
    input wire [5:0] dy,
    input wire flip_x,
    input wire flip_y,
    output wire [9:0] out_x,
    output wire [9:0] out_y
);

reg [9:0] track_x;
reg [9:0] track_y;
reg [15:0] image_x;
reg [15:0] image_y;

wire [9:0] track_x_target = (vga_x < 640 && vga_y < 480) ? vga_x : 10'b0;
wire [9:0] track_y_target = (vga_y < 480) ? vga_y : 10'b0;

wire x_fix = (track_y == track_y_target) && (track_x != track_x_target);
wire y_fix = (track_y != track_y_target);
wire x_back = (track_x_target < track_x) && (track_x >= 32);
wire y_back = (track_y_target < track_y) && (track_y >= 32); 

wire [15:0] ext_dx = flip_x ? -{10'b0, dx} : {10'b0, dx};
wire [15:0] ext_dy = flip_y ? -{10'b0, dy} : {10'b0, dy};

always @(posedge clk) begin
    if(update) begin
        track_x <= center_x;
        track_y <= center_y;
        image_x <= 16'b0;
        image_y <= 16'b0;
    end else begin
        if(y_fix) begin
            if(y_back) begin
                track_y[9:5] <= track_y[9:5] - 1;
                image_x[15:5] <= image_x[15:5] - ext_dy[10:0];
                image_y[15:5] <= image_y[15:5] + ext_dx[10:0];
            end else begin
                track_y <= track_y + 1;
                image_x <= image_x + ext_dy;
                image_y <= image_y - ext_dx;
            end
        end else if(x_fix) begin
            if(x_back) begin
                track_x[9:5] <= track_x[9:5] - 1;
                image_x[15:5] <= image_x[15:5] - ext_dx[10:0];
                image_y[15:5] <= image_y[15:5] - ext_dy[10:0];
            end else begin
                track_x <= track_x + 1;
                image_x <= image_x + ext_dx;
                image_y <= image_y + ext_dy;
            end        
        end    
    end
end

assign out_x = image_x[15:6];
assign out_y = image_y[15:6];

endmodule


`default_nettype none

module kinematics(
    input wire clk,
    input wire rst,
    input wire update,
    input wire [9:0] init_x,
    input wire [9:0] init_y,
    input wire [6:0] init_phi,
    input wire [5:0] vx,
    input wire [5:0] vy,
    input wire [5:0] w,
    output wire [2:0] phi_hi,
    output reg [9:0] center_x,
    output reg [9:0] center_y,
    output wire [5:0] dx,
    output wire [5:0] dy
);

reg [1:0] center_x_lo;
reg [1:0] center_y_lo;
reg [10:0] phi;

assign phi_hi = phi[10:8];

wire [5:0] sin;
wire [5:0] cos;
sine_table i_sine_table(
    .in(phi[7:3]^{(5){phi[8]}}),
    .out({sin, cos})
);

assign {dx, dy} = (phi[9] ^ phi[8]) ? {sin, cos} : {cos, sin};

always @(posedge clk) begin
    if(rst) begin
        center_x <= init_x;
        center_x_lo <= 2'b0;
        center_y <= init_y;
        center_y_lo <= 2'b0;
        phi <= {init_phi, 4'b0};
    end else if(update) begin
        {center_x, center_x_lo} <= {center_x, center_x_lo} + {{(6){vx[5]}}, vx};
        {center_y, center_y_lo} <= {center_y, center_y_lo} + {{(6){vy[5]}}, vy};
        phi <= phi + {{(5){w[5]}}, w};
    end
end

endmodule


`default_nettype none

module collision(
    input wire clk,
    input wire rst,
    input wire update,
    input wire rotate,
    input wire mirror,
    input wire [2:0] init_vx,
    input wire [2:0] init_vy,
    input wire [2:0] init_w,
    input wire [1:0] phi,
    input wire round_dir,
    output wire [5:0] vxt,
    output wire [5:0] vyt,
    output wire [5:0] wt,
    output wire [1:0] impact
);

reg [2:0] vx;
reg [2:0] vy;
reg [2:0] w;
reg [1:0] imp;

wire [1:0] phi_rot = rotate ? (phi + 2) : phi;
wire vs = rotate ? (mirror ? ~vx[2] : vx[2]) : (mirror ? ~vy[2] : vy[2]);
wire [1:0] vm = rotate ? vx[1:0] : vy[1:0];
wire ws = w[2];
wire [1:0] wm = w[1:0];

wire vsn;
wire [1:0] vmn;
wire wsn;
wire [1:0] wmn;
wire [1:0] impn;

coll_table i_coll_table(
    .in({vs, vm, ws, wm, phi_rot, round_dir}),
    .out({vsn, vmn, wsn, wmn, impn})
);

wire [2:0] vxn = rotate ? {vsn ^ mirror, vmn} : vx;
wire [2:0] vyn = rotate ? vy : {vsn ^ mirror, vmn};
wire [2:0] wn = {wsn, wmn};

always @(posedge clk) begin
    if(rst) begin
        vx <= init_vx;
        vy <= init_vy;
        w <= init_w;
        imp <= 2'b0;
    end else if(update) begin
        vx <= vxn;
        vy <= vyn;
        w <= wn;
        imp <= impn;
    end
end

assign vxt = vx[2] ? {1'b1, ~vx[1], vx[1]|~vx[0], vx[1]&~vx[0], vx[1]|vx[0], vx[1]&vx[0]} : {1'b0, vx[1], ~vx[1], vx[0], vx[1]^vx[0], vx[1]&vx[0]};
assign vyt = vy[2] ? {1'b1, ~vy[1], vy[1]|~vy[0], vy[1]&~vy[0], vy[1]|vy[0], vy[1]&vy[0]} : {1'b0, vy[1], ~vy[1], vy[0], vy[1]^vy[0], vy[1]&vy[0]};
assign wt = w[2] ? {1'b1, ~w[1], w[1]|~w[0], w[1]&~w[0], w[1]|w[0], w[1]&w[0]} : {1'b0, w[1], ~w[1], w[0], w[1]^w[0], w[1]&w[0]};
assign impact = imp;

endmodule


`default_nettype none

module resonator (
    input wire clk,
    input wire rst,
    input wire [1:0] trigger,
    input wire update,
    input wire [3:0] tension,
    output wire [11:0] sample
);

reg signed [15:0] v;
reg signed [11:0] x;
reg [3:0] counter;

wire signed [16:0] vn = $signed({v[15], v}) - $signed({{(9){x[11]}}, x[11:4]});
wire signed [12:0] xn = $signed({x[11], x}) + $signed({{(7){v[15]}}, v[15:10]});

assign sample = x;

always @(posedge clk) begin
    if (rst) begin
        v <= 0;
        x <= 0;
        counter <= 0;
    end else if(trigger != 0) begin
        v <= 0;
        x <= {1'b0, {(5){trigger}}, trigger[1]};
        counter <= 0;
    end else if(update) begin
        if((&v[15:13] || ~|v[15:13]) && (&x[11:9] || ~|x[11:9])) begin
            v <= v - (v >>> 9);  // increased damping
        end else begin
            v <= v - (v >>> 11);
        end
        counter <= tension;
    end else if(counter > 1) begin
        counter <= counter - 1;
        if(vn[16] != vn[15]) begin
            v <= {vn[16], {(15){vn[15]}}};  // saturation
        end else begin
            v <= vn[15:0];
        end
    end else if(counter == 1) begin
        counter <= 0;
        if(xn[12] != xn[11]) begin
            x <= {xn[12], {(11){xn[11]}}};  // saturation
        end else begin
            x <= xn[11:0];
        end
    end
end

endmodule


`default_nettype none

module orchestrator (
    input wire clk,
    input wire rst,
    input wire [9:0] vga_x,
    input wire [9:0] vga_y,
    input wire capsule_hit,
    input wire [1:0] collision_impact,
    input wire pause_kinematics,
    input wire mute_sound,
    output reg update_collision,
    output reg rotate_collision,
    output reg mirror_collision,
    output reg update_kinematics,
    output reg update_transform,
    output reg update_resonator,
    output reg handle_impact,
    output reg [1:0] trigger_resonator,
    output reg [3:0] tension,
    output wire round_dir,
    output wire [1:0] color_entropy
);

reg hit_left;
reg hit_right;
reg hit_top;
reg hit_bottom;
reg [9:0] lfsr;
reg [1:0] hit_priority;
reg trigger_debounce;
reg [9:0] sample_counter;

assign round_dir = lfsr[0];
assign color_entropy = lfsr[9:8];

always @(posedge clk) begin
    update_collision <= 0;
    rotate_collision <= 0;
    mirror_collision <= 0;
    update_kinematics <= 0;
    update_transform <= 0;
    update_resonator <= 0;
    handle_impact <= 0;
    trigger_resonator <= 0;
    if(rst) begin
        hit_left <= 0;
        hit_right <= 0;
        hit_top <= 0;
        hit_bottom <= 0;
        lfsr <= -1;
        hit_priority <= 0;
        trigger_debounce <= 0;
        sample_counter <= 0;
        tension <= 0;
    end else begin
        if(vga_y == 480 && vga_x == 0) begin
            lfsr <= {lfsr[8:0], ^(lfsr & 10'b1001000000)};
            update_collision <= hit_left || hit_right || hit_top || hit_bottom;
            if(hit_priority == 2'b00) begin
                rotate_collision <= (hit_left || hit_right) && !(hit_top || hit_bottom);
                mirror_collision <= (hit_top || (hit_left && ~hit_right)) && ~hit_bottom; 
            end else if(hit_priority == 2'b01) begin
                rotate_collision <= hit_left || hit_right;
                mirror_collision <= (hit_left || (hit_top && ~hit_bottom)) && ~hit_right;
            end else if(hit_priority == 2'b10) begin
                rotate_collision <= (hit_left || hit_right) && !(hit_top || hit_bottom);
                mirror_collision <= hit_top || (hit_left && ~hit_bottom);
            end else if(hit_priority == 2'b11) begin
                rotate_collision <= hit_left || hit_right;
                mirror_collision <= hit_left || (hit_top && ~hit_right);
            end
            hit_priority <= hit_priority + 1;
        end else if(vga_y == 485 && vga_x == 0) begin
            if(hit_bottom || hit_left || hit_right || hit_top) begin
                if(collision_impact != 0) begin
                    if(!trigger_debounce) begin
                        handle_impact <= 1;
                        if(!mute_sound) trigger_resonator <= collision_impact;
                        if(hit_bottom)     tension <= 4;
                        else if(hit_left)  tension <= 6;
                        else if(hit_right) tension <= 10;
                        else if(hit_top)   tension <= 14;
                    end
                    trigger_debounce <= 1;
                end
            end else begin
                trigger_debounce <= 0;
            end
        end else if(vga_y == 490 && vga_x == 0) begin
            update_kinematics <= ~pause_kinematics;
        end else if(vga_y == 495 && vga_x == 0) begin
            update_transform <= 1;
            hit_left <= 0;
            hit_right <= 0;
            hit_top <= 0;
            hit_bottom <= 0;
        end else if(vga_y < 480 && vga_x == 639) begin
            if(capsule_hit) hit_right <= 1;
        end else if(vga_y < 480 && vga_x == 0) begin
            if(capsule_hit) hit_left <= 1;
        end else if(vga_y == 479 && vga_x < 640) begin
            if(capsule_hit) hit_bottom <= 1;
        end else if(vga_y == 0 && vga_x < 640) begin
            if(capsule_hit) hit_top <= 1;
        end

        sample_counter <= sample_counter + 1;
        if(sample_counter == 0) begin
            update_resonator <= 1;
        end

    end
end

endmodule


`default_nettype none

module vga_beam(
  input wire clk,
  input wire rst,
  output reg [9:0] x,
  output reg [9:0] y,
  output reg hsync,
  output reg vsync,
  output wire blank
);

parameter H_FPORCH = 640;
parameter H_SYNC   = 656;
parameter H_BPORCH = 752;
parameter H_NEXT   = 799;
parameter V_FPORCH = 480;
parameter V_SYNC   = 490;
parameter V_BPORCH = 492;
parameter V_NEXT   = 524;

always @(posedge clk) begin
    if(rst || x == H_NEXT) begin
        x <= 0;
        if(rst || y == V_NEXT) begin
            y <= 0;
        end else begin
            y <= y + 1;
        end
    end else begin
        x <= x + 1;
    end
    hsync <= (x >= H_SYNC && x < H_BPORCH);
    vsync <= (y >= V_SYNC && y < V_BPORCH);
end

assign blank = (x >= H_FPORCH || y >= V_FPORCH);

endmodule


`default_nettype none

module delta_sigma (
    input wire clk,
    input wire rst,
    input wire [11:0] sample,
    output pdm
);
// >>> Module Implementation Begin

// <<< Module Implementation End
endmodule




`default_nettype none

module tt_um_htfab_bouncy_capsule (
    input  wire [7:0] ui_in,    // Dedicated inputs
    output wire [7:0] uo_out,   // Dedicated outputs
    input  wire [7:0] uio_in,   // IOs: Input path
    output wire [7:0] uio_out,  // IOs: Output path
    output wire [7:0] uio_oe,   // IOs: Enable path (active high: 0=input, 1=output)
    input  wire       ena,      // always 1 when the design is powered, so you can ignore it
    input  wire       clk,      // clock
    input  wire       rst_n     // reset_n - low to reset
);

wire rst = !rst_n;

wire pause_kinematics = ui_in[0];
wire reset_kinematics = ui_in[1];
wire mute_sound = ui_in[2];
wire kill_sound = ui_in[3];
wire hide_background = ui_in[4];
wire hide_text = ui_in[5];
wire lock_colors = ui_in[6];
wire no_reorient = ui_in[7];

wire [9:0] vga_x;
wire [9:0] vga_y;
wire hsync;
wire vsync;
wire blank;

vga_beam i_vga_beam(
    .clk(clk),
    .rst(rst),
    .x(vga_x),
    .y(vga_y),
    .hsync(hsync),
    .vsync(vsync),
    .blank(blank)
);

wire capsule_hit;
wire [1:0] collision_impact;
wire update_collision;
wire rotate_collision;
wire mirror_collision;
wire update_kinematics;
wire update_transform;
wire update_resonator;
wire handle_impact;
wire [1:0] trigger_resonator;
wire [3:0] tension;
wire round_dir;
wire [1:0] color_entropy;

orchestrator i_orchestrator(
    .clk(clk),
    .rst(rst),
    .vga_x(vga_x),
    .vga_y(vga_y),
    .capsule_hit(capsule_hit),
    .collision_impact(collision_impact),
    .pause_kinematics(pause_kinematics),
    .mute_sound(mute_sound),
    .update_collision(update_collision),
    .rotate_collision(rotate_collision),
    .mirror_collision(mirror_collision),
    .update_kinematics(update_kinematics),
    .update_transform(update_transform),
    .update_resonator(update_resonator),
    .handle_impact(handle_impact),
    .trigger_resonator(trigger_resonator),
    .tension(tension),
    .round_dir(round_dir),
    .color_entropy(color_entropy)
);

wire [2:0] phi;
wire [5:0] vx;
wire [5:0] vy;
wire [5:0] w;

collision i_collision(
    .clk(clk),
    .rst(rst),
    .update(update_collision),
    .rotate(rotate_collision),
    .mirror(mirror_collision),
    .init_vx(3'b010),
    .init_vy(3'b001),
    .init_w(3'b000),
    .phi(phi[1:0]),
    .round_dir(round_dir),
    .vxt(vx),
    .vyt(vy),
    .wt(w),
    .impact(collision_impact)
);

wire [9:0] center_x;
wire [9:0] center_y;
wire [5:0] dx;
wire [5:0] dy;

kinematics i_kinematics(
    .clk(clk),
    .rst(rst || reset_kinematics),
    .update(update_kinematics),
    .init_x(10'd320),
    .init_y(10'd240),
    .init_phi(7'd16),
    .vx(vx),
    .vy(vy),
    .w(w),
    .phi_hi(phi),
    .center_x(center_x),
    .center_y(center_y),
    .dx(dx),
    .dy(dy)
);

wire [9:0] tf_x;
wire [9:0] tf_y;
reg orient;

transform i_transform(
    .clk(clk),
    .update(rst || update_transform),
    .vga_x(vga_x),
    .vga_y(vga_y),
    .center_x(center_x),
    .center_y(center_y),
    .dx(dx),
    .dy(dy),
    .flip_x(phi[2] ^ phi[1] ^ orient),
    .flip_y(phi[2] ^ orient),
    .out_x(tf_x),
    .out_y(tf_y)
);

always @(posedge clk) begin
    if(rst) begin
        orient <= 0;
    end else begin
        if(handle_impact && !no_reorient) begin
            orient <= phi[2]^phi[1];
        end
    end
end

capsule i_capsule(
    .tf_x(tf_x),
    .tf_y(tf_y),
    .hit(capsule_hit)
);

wire bitmap_pixel;

bitmap i_bitmap(
    .in({tf_y[6:1], tf_x[7:1]}),
    .out(bitmap_pixel)
);

wire [5:0] capsule_color;
wire [5:0] text_color;

colors i_colors(
    .clk(clk),
    .rst(rst),
    .update(handle_impact && !lock_colors),
    .entropy(color_entropy),
    .capsule_color(capsule_color),
    .text_color(text_color)
);

wire [5:0] bg_color = hide_background ? 6'b0 : {1'b0, vga_x[5]^vga_y[5], 1'b0, vga_x[4]^vga_y[4], 1'b0, vga_x[3]^vga_y[3]};
wire text_hit = hide_text ? 1'b0 : bitmap_pixel;

wire [1:0] R;
wire [1:0] G;
wire [1:0] B;
assign {R, G, B} = blank ? 6'b0 : (capsule_hit ? (text_hit ? text_color : capsule_color) : bg_color);

wire [11:0] sample;
wire pdm;

resonator i_resonator (
    .clk(clk),
    .rst(rst || kill_sound),
    .trigger(trigger_resonator),
    .update(update_resonator),
    .tension(tension),
    .sample(sample)
);

delta_sigma i_delta_sigma (
    .clk(clk),
    .rst(rst),
    .sample(sample),
    .pdm(pdm)
);

wire pdm_out = pdm && !kill_sound;

reg [1:0] R_reg;
reg [1:0] G_reg;
reg [1:0] B_reg;

always @(posedge clk) begin
    R_reg <= R;
    G_reg <= G;
    B_reg <= B;
end

assign uo_out = {hsync, B_reg[0], G_reg[0], R_reg[0], vsync, B_reg[1], G_reg[1], R_reg[1]};
assign uio_out = {(8){pdm_out}};
assign uio_oe = 8'b11111111;

wire _unused = &{ena, uio_in};

endmodule


Reference solution:
rtl/generated.v: 
reg [13:0] acc;

always @(posedge clk) begin
    if (rst) begin
        acc <= {(14){1'b0}};
    end else if (acc[13]) begin
        acc <= acc + {{(2){sample[11]}}, sample} + {3'b001, {(11){1'b0}}};
    end else begin
        acc <= acc + {{(2){sample[11]}}, sample} - {3'b001, {(11){1'b0}}};
    end      
end

assign pdm = ~acc[13];