diff --git a/AGENTS.md b/AGENTS.md
index f97831e..dbac014 100644
--- a/AGENTS.md
+++ b/AGENTS.md
@@ -4,6 +4,8 @@
The project owner is learning Zig. Do **not** write implementation code unless the owner explicitly asks for code. Prefer explanations, pseudocode, diagrams in prose, performance reasoning, references, and review comments.
+The project owner owns the chess implementation. Do **not** modify files under `src/chess/` unless the owner explicitly asks for changes there. For UI/graphics work, adapt the caller-side code instead of changing chess logic or chess tests. If a requested graphics/UI change appears to require a chess implementation change, stop and explain the blocker instead of modifying `src/chess/`.
+
## Required research standard
For factual claims about algorithms, chess rules/standards, numerical methods, graphics, Zig behavior, compiler behavior, or performance:
diff --git a/assets/pieces/png/Chess_bdt45.png b/assets/pieces/png/Chess_bdt45.png
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diff --git a/assets/pieces/png/Chess_plt45.png b/assets/pieces/png/Chess_plt45.png
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diff --git a/assets/pieces/png/Chess_rlt45.png b/assets/pieces/png/Chess_rlt45.png
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index 0000000..efe2110
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diff --git a/assets/pieces/raw/Chess_bdt45.rgba b/assets/pieces/raw/Chess_bdt45.rgba
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index 0000000..caf2b84
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diff --git a/assets/pieces/raw/Chess_kdt45.rgba b/assets/pieces/raw/Chess_kdt45.rgba
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index 0000000..5e88472
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index 0000000..166e967
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diff --git a/assets/pieces/raw/Chess_plt45.rgba b/assets/pieces/raw/Chess_plt45.rgba
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index 0000000..e1bcc3f
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index 0000000..96803df
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diff --git a/assets/pieces/raw/Chess_rdt45.rgba b/assets/pieces/raw/Chess_rdt45.rgba
new file mode 100644
index 0000000..b288932
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diff --git a/assets/pieces/raw/Chess_rlt45.rgba b/assets/pieces/raw/Chess_rlt45.rgba
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diff --git a/assets/pieces/svg/Chess_bdt45.svg b/assets/pieces/svg/Chess_bdt45.svg
new file mode 100644
index 0000000..b6a8006
--- /dev/null
+++ b/assets/pieces/svg/Chess_bdt45.svg
@@ -0,0 +1,12 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_blt45.svg b/assets/pieces/svg/Chess_blt45.svg
new file mode 100644
index 0000000..18f034d
--- /dev/null
+++ b/assets/pieces/svg/Chess_blt45.svg
@@ -0,0 +1,12 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_kdt45.svg b/assets/pieces/svg/Chess_kdt45.svg
new file mode 100644
index 0000000..ba2ac9f
--- /dev/null
+++ b/assets/pieces/svg/Chess_kdt45.svg
@@ -0,0 +1,12 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_klt45.svg b/assets/pieces/svg/Chess_klt45.svg
new file mode 100644
index 0000000..632ca1a
--- /dev/null
+++ b/assets/pieces/svg/Chess_klt45.svg
@@ -0,0 +1,9 @@
+
+
\ No newline at end of file
diff --git a/assets/pieces/svg/Chess_ndt45.svg b/assets/pieces/svg/Chess_ndt45.svg
new file mode 100644
index 0000000..203c6fe
--- /dev/null
+++ b/assets/pieces/svg/Chess_ndt45.svg
@@ -0,0 +1,22 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_nlt45.svg b/assets/pieces/svg/Chess_nlt45.svg
new file mode 100644
index 0000000..92feeee
--- /dev/null
+++ b/assets/pieces/svg/Chess_nlt45.svg
@@ -0,0 +1,19 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_pdt45.svg b/assets/pieces/svg/Chess_pdt45.svg
new file mode 100644
index 0000000..b534de8
--- /dev/null
+++ b/assets/pieces/svg/Chess_pdt45.svg
@@ -0,0 +1,5 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_plt45.svg b/assets/pieces/svg/Chess_plt45.svg
new file mode 100644
index 0000000..b265fe1
--- /dev/null
+++ b/assets/pieces/svg/Chess_plt45.svg
@@ -0,0 +1,5 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_qdt45.svg b/assets/pieces/svg/Chess_qdt45.svg
new file mode 100644
index 0000000..e557734
--- /dev/null
+++ b/assets/pieces/svg/Chess_qdt45.svg
@@ -0,0 +1,27 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_qlt45.svg b/assets/pieces/svg/Chess_qlt45.svg
new file mode 100644
index 0000000..8df7c8f
--- /dev/null
+++ b/assets/pieces/svg/Chess_qlt45.svg
@@ -0,0 +1,15 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_rdt45.svg b/assets/pieces/svg/Chess_rdt45.svg
new file mode 100644
index 0000000..4eec43c
--- /dev/null
+++ b/assets/pieces/svg/Chess_rdt45.svg
@@ -0,0 +1,39 @@
+
+
+
diff --git a/assets/pieces/svg/Chess_rlt45.svg b/assets/pieces/svg/Chess_rlt45.svg
new file mode 100644
index 0000000..ac03578
--- /dev/null
+++ b/assets/pieces/svg/Chess_rlt45.svg
@@ -0,0 +1,25 @@
+
+
+
diff --git a/build.zig b/build.zig
index ec6912f..57a4ea2 100644
--- a/build.zig
+++ b/build.zig
@@ -53,6 +53,22 @@ pub fn build(b: *std.Build) void {
const frag_spv = frag_cmd.addOutputFileArg("square.frag.spv");
frag_cmd.addFileArg(b.path("shaders/square.frag"));
+ const piece_vert_cmd = b.addSystemCommand(&.{
+ "glslc",
+ "--target-env=vulkan1.2",
+ "-o",
+ });
+ const piece_vert_spv = piece_vert_cmd.addOutputFileArg("piece.vert.spv");
+ piece_vert_cmd.addFileArg(b.path("shaders/piece.vert"));
+
+ const piece_frag_cmd = b.addSystemCommand(&.{
+ "glslc",
+ "--target-env=vulkan1.2",
+ "-o",
+ });
+ const piece_frag_spv = piece_frag_cmd.addOutputFileArg("piece.frag.spv");
+ piece_frag_cmd.addFileArg(b.path("shaders/piece.frag"));
+
exe.root_module.addAnonymousImport("square_vertex_shader", .{
.root_source_file = vert_spv,
});
@@ -61,11 +77,65 @@ pub fn build(b: *std.Build) void {
.root_source_file = frag_spv,
});
+ exe.root_module.addAnonymousImport("piece_vertex_shader", .{
+ .root_source_file = piece_vert_spv,
+ });
+
+ exe.root_module.addAnonymousImport("piece_fragment_shader", .{
+ .root_source_file = piece_frag_spv,
+ });
+
+ const piece_assets = [_]struct { name: []const u8, path: []const u8 }{
+ .{ .name = "white_pawn_rgba", .path = "assets/pieces/raw/Chess_plt45.rgba" },
+ .{ .name = "white_knight_rgba", .path = "assets/pieces/raw/Chess_nlt45.rgba" },
+ .{ .name = "white_bishop_rgba", .path = "assets/pieces/raw/Chess_blt45.rgba" },
+ .{ .name = "white_rook_rgba", .path = "assets/pieces/raw/Chess_rlt45.rgba" },
+ .{ .name = "white_queen_rgba", .path = "assets/pieces/raw/Chess_qlt45.rgba" },
+ .{ .name = "white_king_rgba", .path = "assets/pieces/raw/Chess_klt45.rgba" },
+ .{ .name = "black_pawn_rgba", .path = "assets/pieces/raw/Chess_pdt45.rgba" },
+ .{ .name = "black_knight_rgba", .path = "assets/pieces/raw/Chess_ndt45.rgba" },
+ .{ .name = "black_bishop_rgba", .path = "assets/pieces/raw/Chess_bdt45.rgba" },
+ .{ .name = "black_rook_rgba", .path = "assets/pieces/raw/Chess_rdt45.rgba" },
+ .{ .name = "black_queen_rgba", .path = "assets/pieces/raw/Chess_qdt45.rgba" },
+ .{ .name = "black_king_rgba", .path = "assets/pieces/raw/Chess_kdt45.rgba" },
+ };
+
+ for (piece_assets) |asset| {
+ exe.root_module.addAnonymousImport(asset.name, .{
+ .root_source_file = b.path(asset.path),
+ });
+ }
+
b.installArtifact(exe);
const run_cmd = b.addRunArtifact(exe);
run_cmd.step.dependOn(b.getInstallStep());
+ if (b.args) |args| {
+ run_cmd.addArgs(args);
+ }
const run_step = b.step("run", "Run zig-chess");
run_step.dependOn(&run_cmd.step);
+
+ const magic_numbers_exe = b.addExecutable(.{
+ .name = "magic-numbers",
+ .root_module = b.createModule(.{
+ .root_source_file = b.path("tools/magic_numbers.zig"),
+ .target = target,
+ .optimize = optimize,
+ }),
+ });
+
+ const install_magic_numbers = b.addInstallArtifact(magic_numbers_exe, .{});
+
+ const magic_numbers_step = b.step("magic-numbers", "Build the magic bitboard number utility");
+ magic_numbers_step.dependOn(&install_magic_numbers.step);
+
+ const run_magic_numbers_cmd = b.addRunArtifact(magic_numbers_exe);
+ if (b.args) |args| {
+ run_magic_numbers_cmd.addArgs(args);
+ }
+
+ const run_magic_numbers_step = b.step("run-magic-numbers", "Run the magic bitboard number utility");
+ run_magic_numbers_step.dependOn(&run_magic_numbers_cmd.step);
}
diff --git a/docs/magic-bitboards-design.md b/docs/magic-bitboards-design.md
new file mode 100644
index 0000000..4af42e8
--- /dev/null
+++ b/docs/magic-bitboards-design.md
@@ -0,0 +1,388 @@
+# Magic Bitboard Design Guide for a Zig Chess Engine
+
+## Overview
+
+This document describes the implementation strategy for sliding-piece move generation using Magic Bitboards in Zig.
+
+The goal is:
+
+- Extremely fast rook/bishop/queen move generation
+- All move tables precomputed at startup or compile time
+- Efficient runtime lookups using:
+ - Bit masks
+ - Bitwise operations
+ - Multiplication by magic numbers
+ - Table indexing
+
+This document assumes:
+
+- Board representation uses 64-bit bitboards (`u64`)
+- One bitboard per piece type
+- Separate white and black occupancy bitboards
+- Additional metadata stored separately, such as castling and en passant
+
+References for follow-up:
+
+- Chess Programming Wiki, “Magic Bitboards”: https://www.chessprogramming.org/Magic_Bitboards
+- Chess Programming Wiki, “Sliding Piece Attacks”: https://www.chessprogramming.org/Sliding_Piece_Attacks
+- Chess Programming Wiki, “Bitboards”: https://www.chessprogramming.org/Bitboards
+
+## 1. Board Representation
+
+Use one `u64` per piece type.
+
+Example:
+
+```zig
+const Board = struct {
+ white_pawns: u64,
+ white_knights: u64,
+ white_bishops: u64,
+ white_rooks: u64,
+ white_queens: u64,
+ white_king: u64,
+
+ black_pawns: u64,
+ black_knights: u64,
+ black_bishops: u64,
+ black_rooks: u64,
+ black_queens: u64,
+ black_king: u64,
+
+ white_occ: u64,
+ black_occ: u64,
+ all_occ: u64,
+};
+```
+
+## 2. Square Numbering
+
+Recommended:
+
+```text
+A1 = 0
+B1 = 1
+...
+H1 = 7
+
+A2 = 8
+...
+H8 = 63
+```
+
+This layout aligns naturally with white perspective, rank/file math, and bit shifting.
+
+## 3. Sliding Piece Basics
+
+Magic bitboards are only needed for:
+
+- Rooks
+- Bishops
+- Queens
+
+Knights, kings, and pawns can use precomputed attack masks or direct bit operations.
+
+## 4. Relevant Occupancy Masks
+
+Each rook/bishop square has a relevant occupancy mask.
+
+This mask contains only squares that can block movement.
+
+Board edges are excluded because edge blockers do not affect how far the slider can move; they create redundant occupancy states.
+
+Example: rook on D4.
+
+Relevant mask includes:
+
+```text
+D5 D6 D7
+D3 D2
+C4 B4
+E4 F4 G4
+```
+
+Not included:
+
+```text
+D8
+D1
+A4
+H4
+```
+
+## 5. Runtime Occupancy Extraction
+
+At runtime:
+
+```zig
+const blockers = board.all_occ & rook_masks[square];
+```
+
+This isolates only blockers relevant to the rook.
+
+## 6. Magic Bitboard Lookup Formula
+
+Core formula:
+
+```zig
+index = (blockers * magic) >> shift;
+```
+
+Where:
+
+- `blockers` = masked occupancy
+- `magic` = precomputed magic number
+- `shift` = reduces result to table index size
+
+## 7. Why Multiplication Works
+
+The multiplication mixes blocker bits into a pseudo-random pattern.
+
+A good magic number guarantees that every possible blocker configuration maps to a usable table index. In practice, collisions are allowed only when the colliding occupancies produce the same attack bitboard.
+
+## 8. Why Shifting Is Needed
+
+Multiplication produces a 64-bit result. We only need enough bits to index the move table.
+
+Example:
+
+```text
+4096 occupancy states -> need 12 bits
+shift = 64 - 12
+```
+
+Formula:
+
+```zig
+index = (blockers *% magic) >> (64 - relevant_bits);
+```
+
+Use Zig wrapping multiplication (`*%`) for magic indexing.
+
+## 9. Move Tables
+
+Each square has attack entries:
+
+```zig
+rook_attacks[64][N]
+bishop_attacks[64][N]
+```
+
+Where `N` depends on occupancy combinations.
+
+Typical upper bounds:
+
+- Rook: up to 4096 entries per square
+- Bishop: up to 512 entries per square
+
+Each entry stores a `u64` attack bitboard.
+
+## 10. Runtime Move Generation
+
+Rook:
+
+```zig
+const blockers = board.all_occ & rook_masks[square];
+const index = (blockers *% rook_magics[square]) >> rook_shifts[square];
+const moves = rook_attacks[square][index];
+```
+
+Bishop:
+
+```zig
+const blockers = board.all_occ & bishop_masks[square];
+const index = (blockers *% bishop_magics[square]) >> bishop_shifts[square];
+const moves = bishop_attacks[square][index];
+```
+
+Queen:
+
+```zig
+const queen_moves = rook_moves | bishop_moves;
+```
+
+Use OR (`|`), not AND (`&`).
+
+## 11. Friendly Piece Removal
+
+Sliding attacks include friendly occupied squares. Remove illegal destinations:
+
+```zig
+const legal_moves = attacks & ~friendly_occ;
+```
+
+## 12. Captures
+
+Captures naturally remain in the move set because sliding stops on enemy blockers and includes the enemy blocker square.
+
+To isolate captures:
+
+```zig
+const captures = legal_moves & enemy_occ;
+```
+
+## 13. Generating Relevant Occupancy Masks
+
+Rook rays:
+
+- North
+- South
+- East
+- West
+
+Bishop rays:
+
+- North-east
+- North-west
+- South-east
+- South-west
+
+For magic relevant occupancy masks, exclude edge squares.
+
+## 14. Generating All Occupancy Variations
+
+If a mask has `n` relevant bits, then occupancy count is:
+
+```text
+2^n
+```
+
+Example:
+
+```text
+12 relevant bits -> 4096 occupancy states
+```
+
+Generate every occupancy subset.
+
+## 15. Generating Attack Tables
+
+For each occupancy subset:
+
+1. Simulate sliding movement.
+2. Stop when a blocker is encountered.
+3. Include the blocker square.
+4. Save resulting move bitboard.
+
+## 16. Magic Number Generation
+
+Magic generation is brute force.
+
+Algorithm for a square:
+
+1. Generate all occupancies.
+2. Generate all attacks.
+3. Pick random `u64` candidate magic.
+4. Test `(blockers *% magic) >> shift`.
+5. Ensure every occupancy maps without harmful collision.
+6. If collision is harmful, reject magic and try another.
+
+## 17. Zig-Specific Caveats
+
+Use wrapping multiplication:
+
+```zig
+const index = (blockers *% magic) >> shift;
+```
+
+Normal multiplication may trap in safety-checked modes if overflow occurs.
+
+## 18. Zig Integer Types
+
+Use explicit types everywhere:
+
+```zig
+u64
+u32
+usize
+```
+
+Avoid implicit casts.
+
+## 19. Compile-Time Generation
+
+Zig can generate tables at compile time. Runtime generation is also useful while learning and debugging.
+
+Potential workflow:
+
+1. Runtime utility searches for magics and prints/generated tables.
+2. Generated constants are reviewed.
+3. Final engine uses embedded constants and precomputed attack tables.
+
+## 20. Memory Usage
+
+Approximate attack table RAM usage:
+
+| Table | Size |
+| --- | ---: |
+| Rook attacks | ~800 KB |
+| Bishop attacks | ~40 KB |
+| Total | <1 MB |
+
+## 21. Suggested Development Order
+
+### Phase 1
+
+Implement:
+
+- square numbering
+- bitboard helpers
+- occupancy masks
+
+### Phase 2
+
+Implement:
+
+- rook ray generation
+- bishop ray generation
+
+### Phase 3
+
+Implement:
+
+- occupancy subset generation
+- attack generation
+
+### Phase 4
+
+Implement:
+
+- brute-force magic finder
+
+### Phase 5
+
+Implement:
+
+- runtime lookup system
+
+### Phase 6
+
+Validate against known positions/FENs.
+
+## 22. Validation Tests
+
+Verify:
+
+- edge squares
+- center squares
+- empty board
+- fully blocked board
+- single blocker
+- captures
+- friendly blockers
+- queen union correctness
+
+## 23. Final Runtime Formula Summary
+
+```zig
+const blockers = board.all_occ & mask;
+const index = (blockers *% magic) >> shift;
+const attacks = attack_table[index];
+const legal_moves = attacks & ~friendly_occ;
+```
+
+Queen:
+
+```zig
+const queen_moves = rook_moves | bishop_moves;
+```
diff --git a/shaders/piece.frag b/shaders/piece.frag
new file mode 100644
index 0000000..8bf6b87
--- /dev/null
+++ b/shaders/piece.frag
@@ -0,0 +1,11 @@
+#version 450
+
+layout(set = 0, binding = 0) uniform sampler2D piece_texture;
+
+layout(location = 0) in vec4 frag_color;
+layout(location = 1) in vec2 frag_uv;
+layout(location = 0) out vec4 out_color;
+
+void main() {
+ out_color = texture(piece_texture, frag_uv) * frag_color;
+}
diff --git a/shaders/piece.vert b/shaders/piece.vert
new file mode 100644
index 0000000..948e2e4
--- /dev/null
+++ b/shaders/piece.vert
@@ -0,0 +1,14 @@
+#version 450
+
+layout(location = 0) in vec2 in_position;
+layout(location = 1) in vec4 in_color;
+layout(location = 2) in vec2 in_uv;
+
+layout(location = 0) out vec4 frag_color;
+layout(location = 1) out vec2 frag_uv;
+
+void main() {
+ gl_Position = vec4(in_position, 0.0, 1.0);
+ frag_color = in_color;
+ frag_uv = in_uv;
+}
diff --git a/shaders/square.frag b/shaders/square.frag
index e093b78..1635449 100644
--- a/shaders/square.frag
+++ b/shaders/square.frag
@@ -1,7 +1,8 @@
#version 450
+layout(location = 0) in vec4 frag_color;
layout(location = 0) out vec4 out_color;
void main() {
- out_color = vec4(0.1, 0.8, 1.0, 1.0);
+ out_color = frag_color;
}
diff --git a/shaders/square.vert b/shaders/square.vert
index bb7c500..554cbdc 100644
--- a/shaders/square.vert
+++ b/shaders/square.vert
@@ -1,7 +1,11 @@
#version 450
-layout(location=0) in vec2 in_position;
+layout(location = 0) in vec2 in_position;
+layout(location = 1) in vec4 in_color;
+
+layout(location = 0) out vec4 frag_color;
void main() {
gl_Position = vec4(in_position, 0.0, 1.0);
+ frag_color = in_color;
}
diff --git a/src/assets.zig b/src/assets.zig
new file mode 100644
index 0000000..00951ec
--- /dev/null
+++ b/src/assets.zig
@@ -0,0 +1,18 @@
+pub const piece_width = 256;
+pub const piece_height = 256;
+pub const piece_channels = 4;
+pub const piece_byte_len = piece_width * piece_height * piece_channels;
+
+pub const white_pawn_rgba = @embedFile("white_pawn_rgba");
+pub const white_knight_rgba = @embedFile("white_knight_rgba");
+pub const white_bishop_rgba = @embedFile("white_bishop_rgba");
+pub const white_rook_rgba = @embedFile("white_rook_rgba");
+pub const white_queen_rgba = @embedFile("white_queen_rgba");
+pub const white_king_rgba = @embedFile("white_king_rgba");
+
+pub const black_pawn_rgba = @embedFile("black_pawn_rgba");
+pub const black_knight_rgba = @embedFile("black_knight_rgba");
+pub const black_bishop_rgba = @embedFile("black_bishop_rgba");
+pub const black_rook_rgba = @embedFile("black_rook_rgba");
+pub const black_queen_rgba = @embedFile("black_queen_rgba");
+pub const black_king_rgba = @embedFile("black_king_rgba");
diff --git a/src/board_input.zig b/src/board_input.zig
new file mode 100644
index 0000000..64c9eeb
--- /dev/null
+++ b/src/board_input.zig
@@ -0,0 +1,496 @@
+const std = @import("std");
+
+const chess_board = @import("chess/board.zig");
+const bitboard = @import("chess/bitboard.zig");
+const geometry = @import("geometry.zig");
+const piece = @import("chess/piece.zig");
+const piece_render = @import("piece_render.zig");
+
+pub const SquareCoord = struct {
+ file: u3,
+ rank: u3,
+};
+
+pub const MoveRequest = struct {
+ from: SquareCoord,
+ to: SquareCoord,
+};
+
+pub const ClickResult = union(enum) {
+ none,
+ selected: SquareCoord,
+ cleared,
+ move_requested: MoveRequest,
+};
+
+pub const InputMode = enum {
+ play,
+ edit,
+};
+
+pub const ModeButton = enum {
+ play,
+ edit,
+ reset,
+};
+
+pub const PendingDragState = struct {
+ source: SquareCoord,
+ encoded: u4,
+ start_ndc: [2]f32,
+ previous_selection: ?SquareCoord,
+};
+
+pub const DragState = struct {
+ source: SquareCoord,
+ encoded: u4,
+ cursor_ndc: [2]f32,
+ previous_selection: ?SquareCoord,
+};
+
+pub const InteractionState = struct {
+ selection: SelectionState = .{},
+ selected_palette_piece: ?u4 = null,
+ pending_drag: ?PendingDragState = null,
+ current_drag: ?DragState = null,
+};
+
+pub const PressResult = union(enum) {
+ none,
+ mode_changed: InputMode,
+ reset_requested,
+ palette_changed,
+ edit_place: struct { square: SquareCoord, encoded: u4 },
+ edit_clear: SquareCoord,
+ play_selected: bitboard.Square,
+ play_cleared,
+ play_move_requested: MoveRequest,
+};
+
+pub const DragUpdateResult = union(enum) {
+ none,
+ drag_started: bitboard.Square,
+ drag_moved,
+};
+
+pub const ReleaseResult = union(enum) {
+ none,
+ click_without_drag,
+ drag_cancelled: ?bitboard.Square,
+ drag_selected: bitboard.Square,
+ drag_cleared,
+ drag_move_requested: MoveRequest,
+};
+
+fn squareCoordEql(a: SquareCoord, b: SquareCoord) bool {
+ return a.file == b.file and a.rank == b.rank;
+}
+
+pub fn coordToSquare(coord: SquareCoord) bitboard.Square {
+ return @intCast((@as(u6, coord.rank) * 8) + @as(u6, coord.file));
+}
+
+pub fn squareToCoord(square: bitboard.Square) SquareCoord {
+ return .{
+ .file = @intCast(square % 8),
+ .rank = @intCast(square / 8),
+ };
+}
+
+pub const SelectionState = struct {
+ selected: ?SquareCoord = null,
+
+ pub fn handleClick(
+ self: *SelectionState,
+ state: chess_board.BoardState,
+ maybe_square: ?SquareCoord,
+ ) ClickResult {
+ const square = maybe_square orelse {
+ self.selected = null;
+ return .cleared;
+ };
+
+ const clicked_piece = state.getSquare(square.file, square.rank);
+ const clicked_color = piece.colorOf(clicked_piece);
+
+ if (self.selected) |from| {
+ if (squareCoordEql(from, square)) {
+ self.selected = null;
+ return .cleared;
+ }
+
+ if (clicked_color == state.turn) {
+ self.selected = square;
+ return .{ .selected = square };
+ }
+
+ self.selected = null;
+ return .{ .move_requested = .{
+ .from = from,
+ .to = square,
+ } };
+ }
+
+ if (clicked_color != state.turn) {
+ return .none;
+ }
+
+ self.selected = square;
+ return .{ .selected = square };
+ }
+};
+
+fn ndcNearlyEqual(a: [2]f32, b: [2]f32) bool {
+ const epsilon: f32 = 0.002;
+ return @abs(a[0] - b[0]) < epsilon and @abs(a[1] - b[1]) < epsilon;
+}
+
+fn hasDraggedFarEnough(start: [2]f32, current: [2]f32) bool {
+ const threshold: f32 = 0.025;
+ const dx = current[0] - start[0];
+ const dy = current[1] - start[1];
+ return (dx * dx + dy * dy) >= threshold * threshold;
+}
+
+pub fn hoveredSquareForState(state: InteractionState, mode: InputMode, cursor_square: ?SquareCoord) ?SquareCoord {
+ if (state.selection.selected != null or state.selected_palette_piece != null or state.current_drag != null or mode == .edit) {
+ return cursor_square;
+ }
+ return null;
+}
+
+pub fn handleDragUpdate(state: *InteractionState, cursor_ndc: ?[2]f32) DragUpdateResult {
+ const ndc = cursor_ndc orelse return .none;
+
+ if (state.pending_drag) |pending| {
+ if (hasDraggedFarEnough(pending.start_ndc, ndc)) {
+ state.current_drag = .{
+ .source = pending.source,
+ .encoded = pending.encoded,
+ .cursor_ndc = ndc,
+ .previous_selection = pending.previous_selection,
+ };
+ state.pending_drag = null;
+ state.selection.selected = null;
+ return .{ .drag_started = coordToSquare(state.current_drag.?.source) };
+ }
+ }
+
+ if (state.current_drag) |*drag| {
+ if (!ndcNearlyEqual(drag.cursor_ndc, ndc)) {
+ drag.cursor_ndc = ndc;
+ return .drag_moved;
+ }
+ }
+
+ return .none;
+}
+
+pub fn handleMousePress(
+ input: *InteractionState,
+ board_state: chess_board.BoardState,
+ mode: InputMode,
+ mode_button: ?ModeButton,
+ palette_piece: ?u4,
+ cursor_square: ?SquareCoord,
+ cursor_ndc: ?[2]f32,
+) PressResult {
+ if (mode_button) |button| {
+ if (button == .reset) return .reset_requested;
+
+ const new_mode: InputMode = switch (button) {
+ .play => .play,
+ .edit => .edit,
+ .reset => unreachable,
+ };
+ if (new_mode != mode) {
+ input.selected_palette_piece = null;
+ input.selection.selected = null;
+ input.pending_drag = null;
+ input.current_drag = null;
+ return .{ .mode_changed = new_mode };
+ }
+ return .none;
+ }
+
+ if (mode == .edit) {
+ if (palette_piece) |encoded_piece| {
+ input.selected_palette_piece = if (input.selected_palette_piece != null and input.selected_palette_piece.? == encoded_piece) null else encoded_piece;
+ input.selection.selected = null;
+ input.pending_drag = null;
+ input.current_drag = null;
+ return .palette_changed;
+ }
+
+ const square = cursor_square orelse return .none;
+ if (input.selected_palette_piece) |encoded_piece| {
+ return .{ .edit_place = .{ .square = square, .encoded = encoded_piece } };
+ }
+ return .{ .edit_clear = square };
+ }
+
+ const square = cursor_square orelse return .none;
+ const ndc = cursor_ndc orelse return .none;
+ const encoded = board_state.getSquare(square.file, square.rank);
+ const previous_selection = input.selection.selected;
+
+ if (piece.colorOf(encoded) == board_state.turn) {
+ input.pending_drag = .{
+ .source = square,
+ .encoded = encoded,
+ .start_ndc = ndc,
+ .previous_selection = previous_selection,
+ };
+ }
+
+ return switch (input.selection.handleClick(board_state, cursor_square)) {
+ .none => .none,
+ .cleared => .play_cleared,
+ .selected => |selected| .{ .play_selected = coordToSquare(selected) },
+ .move_requested => |move| .{ .play_move_requested = move },
+ };
+}
+
+pub fn handleMouseRelease(input: *InteractionState, cursor_square: ?SquareCoord) ReleaseResult {
+ if (input.pending_drag != null) {
+ input.pending_drag = null;
+ return .click_without_drag;
+ }
+
+ const drag = input.current_drag orelse return .none;
+ input.current_drag = null;
+
+ if (cursor_square) |target| {
+ if (squareCoordEql(drag.source, target)) {
+ if (drag.previous_selection) |previous| {
+ if (squareCoordEql(previous, drag.source)) {
+ input.selection.selected = null;
+ return .drag_cleared;
+ }
+ }
+ input.selection.selected = drag.source;
+ return .{ .drag_selected = coordToSquare(drag.source) };
+ }
+
+ input.selection.selected = null;
+ return .{ .drag_move_requested = .{ .from = drag.source, .to = target } };
+ }
+
+ input.selection.selected = drag.previous_selection;
+ return .{ .drag_cancelled = if (drag.previous_selection) |selected| coordToSquare(selected) else null };
+}
+
+pub fn screenToNdc(
+ mouse_x: f64,
+ mouse_y: f64,
+ window_width: u32,
+ window_height: u32,
+) ?[2]f32 {
+ if (window_width == 0 or window_height == 0) return null;
+
+ const w: f64 = @floatFromInt(window_width);
+ const h: f64 = @floatFromInt(window_height);
+
+ return .{
+ @floatCast((mouse_x / w) * 2.0 - 1.0),
+ @floatCast(1.0 - (mouse_y / h) * 2.0),
+ };
+}
+
+pub fn screenToBoardSquare(
+ mouse_x: f64,
+ mouse_y: f64,
+ window_width: u32,
+ window_height: u32,
+ board_rect: geometry.BoardRect,
+) ?SquareCoord {
+ const ndc = screenToNdc(mouse_x, mouse_y, window_width, window_height) orelse return null;
+ const ndc_x = ndc[0];
+ const ndc_y = ndc[1];
+
+ const right = board_rect.left + board_rect.width;
+ const top = board_rect.bottom + board_rect.height;
+
+ if (ndc_x < board_rect.left or ndc_x >= right) return null;
+ if (ndc_y < board_rect.bottom or ndc_y >= top) return null;
+
+ const local_x = (ndc_x - board_rect.left) / board_rect.width;
+ const local_y = (ndc_y - board_rect.bottom) / board_rect.height;
+
+ const file_float = local_x * 8.0;
+ const rank_float = local_y * 8.0;
+
+ const file_int: u32 = @intFromFloat(@floor(file_float));
+ const rank_int: u32 = @intFromFloat(@floor(rank_float));
+
+ if (file_int >= 8 or rank_int >= 8) return null;
+
+ return .{
+ .file = @intCast(file_int),
+ .rank = @intCast(rank_int),
+ };
+}
+
+pub fn screenToModeButton(
+ mouse_x: f64,
+ mouse_y: f64,
+ window_width: u32,
+ window_height: u32,
+) ?ModeButton {
+ const ndc = screenToNdc(mouse_x, mouse_y, window_width, window_height) orelse return null;
+ const x = ndc[0];
+ const y = ndc[1];
+
+ const button_w: f32 = 0.16;
+ const button_h: f32 = 0.08;
+ const reset_button_w: f32 = 0.22;
+ const gap: f32 = 0.025;
+ const top: f32 = 0.96;
+ const bottom = top - button_h;
+ const play_left: f32 = -0.95;
+ const edit_left = play_left + button_w + gap;
+ const reset_left = edit_left + button_w + gap;
+
+ if (y < bottom or y >= top) return null;
+ if (x >= play_left and x < play_left + button_w) return .play;
+ if (x >= edit_left and x < edit_left + button_w) return .edit;
+ if (x >= reset_left and x < reset_left + reset_button_w) return .reset;
+ return null;
+}
+
+pub fn screenToPalettePiece(
+ mouse_x: f64,
+ mouse_y: f64,
+ window_width: u32,
+ window_height: u32,
+ board_rect: geometry.BoardRect,
+) ?u4 {
+ const ndc = screenToNdc(mouse_x, mouse_y, window_width, window_height) orelse return null;
+ const ndc_x = ndc[0];
+ const ndc_y = ndc[1];
+
+ const palette_rect = piece_render.paletteRectForBoard(board_rect);
+ const right = palette_rect.left + palette_rect.width;
+ const top = palette_rect.bottom + palette_rect.height;
+
+ if (ndc_x < palette_rect.left or ndc_x >= right) return null;
+ if (ndc_y < palette_rect.bottom or ndc_y >= top) return null;
+
+ const local_y = (top - ndc_y) / palette_rect.height;
+ const index_float = local_y * @as(f32, @floatFromInt(piece_render.palette_entries.len));
+ const index: usize = @intFromFloat(@floor(index_float));
+
+ if (index >= piece_render.palette_entries.len) return null;
+ return piece_render.palette_entries[index].encoded;
+}
+
+fn screenPointForBoardCoord(
+ board_rect: geometry.BoardRect,
+ window_width: u32,
+ window_height: u32,
+ board_x: f32,
+ board_y: f32,
+) [2]f64 {
+ const ndc = geometry.boardToNdc(board_rect, board_x, board_y);
+ const w: f64 = @floatFromInt(window_width);
+ const h: f64 = @floatFromInt(window_height);
+
+ return .{
+ ((@as(f64, ndc[0]) + 1.0) / 2.0) * w,
+ ((1.0 - @as(f64, ndc[1])) / 2.0) * h,
+ };
+}
+
+test "screenToBoardSquare maps board corners and center squares" {
+ const board_rect = geometry.boardRectForExtent(800, 600);
+
+ const a1 = screenPointForBoardCoord(board_rect, 800, 600, 0.5, 0.5);
+ try std.testing.expectEqual(SquareCoord{ .file = 0, .rank = 0 }, screenToBoardSquare(a1[0], a1[1], 800, 600, board_rect).?);
+
+ const h8 = screenPointForBoardCoord(board_rect, 800, 600, 7.5, 7.5);
+ try std.testing.expectEqual(SquareCoord{ .file = 7, .rank = 7 }, screenToBoardSquare(h8[0], h8[1], 800, 600, board_rect).?);
+
+ const e4 = screenPointForBoardCoord(board_rect, 800, 600, 4.5, 3.5);
+ try std.testing.expectEqual(SquareCoord{ .file = 4, .rank = 3 }, screenToBoardSquare(e4[0], e4[1], 800, 600, board_rect).?);
+}
+
+test "screenToBoardSquare returns null outside board" {
+ const board_rect = geometry.boardRectForExtent(800, 600);
+
+ try std.testing.expectEqual(null, screenToBoardSquare(0, 0, 800, 600, board_rect));
+ try std.testing.expectEqual(null, screenToBoardSquare(799, 599, 800, 600, board_rect));
+ try std.testing.expectEqual(null, screenToBoardSquare(400, 300, 0, 600, board_rect));
+}
+
+test "screenToPalettePiece maps palette cells to encoded pieces" {
+ const board_rect = geometry.boardRectForExtent(800, 600);
+ const palette_rect = piece_render.paletteRectForBoard(board_rect);
+ const cell_height = palette_rect.height / @as(f32, @floatFromInt(piece_render.palette_entries.len));
+
+ const top_cell_ndc_x = palette_rect.left + palette_rect.width / 2.0;
+ const top_cell_ndc_y = palette_rect.bottom + palette_rect.height - cell_height / 2.0;
+ const window_x = ((@as(f64, top_cell_ndc_x) + 1.0) / 2.0) * 800.0;
+ const window_y = ((1.0 - @as(f64, top_cell_ndc_y)) / 2.0) * 600.0;
+
+ try std.testing.expectEqual(piece.encode(.white, .king), screenToPalettePiece(window_x, window_y, 800, 600, board_rect).?);
+}
+
+test "SelectionState selects side-to-move piece and requests move on second click" {
+ var state = chess_board.BoardState.empty();
+ state.turn = .white;
+ state.setSquare(4, 1, piece.encode(.white, .pawn));
+
+ var selection = SelectionState{};
+
+ try std.testing.expectEqual(ClickResult.none, selection.handleClick(state, .{ .file = 0, .rank = 0 }));
+ try std.testing.expectEqual(null, selection.selected);
+
+ try std.testing.expectEqual(ClickResult{ .selected = .{ .file = 4, .rank = 1 } }, selection.handleClick(state, .{ .file = 4, .rank = 1 }));
+ try std.testing.expectEqual(SquareCoord{ .file = 4, .rank = 1 }, selection.selected.?);
+
+ try std.testing.expectEqual(
+ ClickResult{ .move_requested = .{ .from = .{ .file = 4, .rank = 1 }, .to = .{ .file = 4, .rank = 3 } } },
+ selection.handleClick(state, .{ .file = 4, .rank = 3 }),
+ );
+ try std.testing.expectEqual(null, selection.selected);
+}
+
+test "SelectionState ignores pieces that are not side to move" {
+ var state = chess_board.BoardState.empty();
+ state.turn = .white;
+ state.setSquare(4, 6, piece.encode(.black, .pawn));
+
+ var selection = SelectionState{};
+
+ try std.testing.expectEqual(ClickResult.none, selection.handleClick(state, .{ .file = 4, .rank = 6 }));
+ try std.testing.expectEqual(null, selection.selected);
+}
+
+test "SelectionState deselects when selected square is clicked again" {
+ var state = chess_board.BoardState.empty();
+ state.turn = .white;
+ state.setSquare(4, 1, piece.encode(.white, .pawn));
+
+ var selection = SelectionState{};
+
+ _ = selection.handleClick(state, .{ .file = 4, .rank = 1 });
+ try std.testing.expectEqual(SquareCoord{ .file = 4, .rank = 1 }, selection.selected.?);
+
+ try std.testing.expectEqual(ClickResult.cleared, selection.handleClick(state, .{ .file = 4, .rank = 1 }));
+ try std.testing.expectEqual(null, selection.selected);
+}
+
+test "SelectionState switches selection when same-color piece is clicked" {
+ var state = chess_board.BoardState.empty();
+ state.turn = .white;
+ state.setSquare(4, 1, piece.encode(.white, .pawn));
+ state.setSquare(6, 0, piece.encode(.white, .knight));
+
+ var selection = SelectionState{};
+
+ _ = selection.handleClick(state, .{ .file = 4, .rank = 1 });
+ try std.testing.expectEqual(SquareCoord{ .file = 4, .rank = 1 }, selection.selected.?);
+
+ try std.testing.expectEqual(ClickResult{ .selected = .{ .file = 6, .rank = 0 } }, selection.handleClick(state, .{ .file = 6, .rank = 0 }));
+ try std.testing.expectEqual(SquareCoord{ .file = 6, .rank = 0 }, selection.selected.?);
+}
diff --git a/src/chess/bitboard.zig b/src/chess/bitboard.zig
new file mode 100644
index 0000000..a1f513b
--- /dev/null
+++ b/src/chess/bitboard.zig
@@ -0,0 +1,13 @@
+const std = @import("std");
+
+pub const Bitboard = u64;
+pub const Square = u6;
+
+pub fn bit(square: Square) Bitboard {
+ return @as(Bitboard, 1) << square;
+}
+
+test "bit returns a bitboard with one square set" {
+ try std.testing.expectEqual(@as(Bitboard, 1), bit(0));
+ try std.testing.expectEqual(@as(Bitboard, 1) << 63, bit(63));
+}
diff --git a/src/chess/board.zig b/src/chess/board.zig
new file mode 100644
index 0000000..5e2ce55
--- /dev/null
+++ b/src/chess/board.zig
@@ -0,0 +1,771 @@
+const std = @import("std");
+const piece = @import("piece.zig");
+const bitboard = @import("bitboard.zig");
+const magic = @import("magic.zig");
+
+const king_masks: [64]bitboard.Bitboard = generateKingMasks();
+const knight_masks: [64]bitboard.Bitboard = generateKnightMasks();
+const knight_offsets = [_][2]i32{
+ .{ -2, -1 },
+ .{ -2, 1 },
+ .{ -1, -2 },
+ .{ -1, 2 },
+ .{ 1, -2 },
+ .{ 1, 2 },
+ .{ 2, -1 },
+ .{ 2, 1 },
+};
+const white_pawn_masks: [64]bitboard.Bitboard = generatePawnMasks(piece.Color.white);
+const black_pawn_masks: [64]bitboard.Bitboard = generatePawnMasks(piece.Color.black);
+
+pub const BoardState = struct {
+ board: [8]u32,
+ turn: piece.Color,
+ castle_rights: u4,
+ en_passant: u7,
+ halfmove: u8,
+ fullmove: u32,
+ bitboards: [16]bitboard.Bitboard,
+
+ pub fn empty() BoardState {
+ return .{
+ .board = [_]u32{0} ** 8,
+ .turn = piece.Color.white,
+ .castle_rights = 0,
+ .en_passant = 0,
+ .halfmove = 0,
+ .fullmove = 0,
+ .bitboards = [_]bitboard.Bitboard{0} ** 16,
+ };
+ }
+
+ pub fn getSquare(self: BoardState, file: u3, rank: u3) u4 {
+ const shift: u5 = @as(u5, file) * 4;
+ return @intCast((self.board[rank] >> shift) & 0xF);
+ }
+
+ pub fn setSquare(self: *BoardState, file: u3, rank: u3, value: u4) void {
+ const shift: u5 = @as(u5, file) * 4;
+ const mask: u32 = @as(u32, 0xF) << shift;
+ const existing: u4 = @intCast((self.board[rank] & mask) >> shift);
+ self.board[rank] = (self.board[rank] & ~mask) | (@as(u32, value) << shift);
+ if (value != 0) {
+ self.bitboards[value] |= @as(bitboard.Bitboard, 1) << @intCast(@as(u6, rank) * 8 + @as(u6, file));
+ self.bitboards[existing] &= ~(@as(bitboard.Bitboard, 1) << @intCast(@as(u6, rank) * 8 + @as(u6, file)));
+ } else {
+ self.bitboards[existing] &= ~(@as(bitboard.Bitboard, 1) << @intCast(@as(u6, rank) * 8 + @as(u6, file)));
+ }
+ self.bitboards[7] = self.bitboards[1] | self.bitboards[2] | self.bitboards[3] | self.bitboards[4] | self.bitboards[5] | self.bitboards[6];
+ self.bitboards[15] = self.bitboards[9] | self.bitboards[10] | self.bitboards[11] | self.bitboards[12] | self.bitboards[13] | self.bitboards[14];
+ self.bitboards[0] = self.bitboards[7] | self.bitboards[15];
+ }
+
+ pub fn printBitboards(self: *BoardState) void {
+ for (self.bitboards) |bb| {
+ var rank: i32 = 7;
+ while (rank >= 0) : (rank -= 1) {
+ var file: u6 = 0;
+ while (file < 8) : (file += 1) {
+ const square: u6 = @intCast((rank * 8) + file);
+ const mask = @as(bitboard.Bitboard, 1) << square;
+
+ if ((bb & mask) != 0) {
+ std.debug.print("1 ", .{});
+ } else {
+ std.debug.print(". ", .{});
+ }
+ }
+ std.debug.print("\n", .{});
+ }
+ std.debug.print("\n", .{});
+ }
+ }
+
+ fn swapTurn(self: *BoardState) void {
+ if (self.turn == piece.Color.white) {
+ self.turn = piece.Color.black;
+ } else {
+ self.turn = piece.Color.white;
+ self.fullmove += 1;
+ }
+ }
+
+ pub fn move(self: *BoardState, from_file: u3, from_rank: u3, to_file: u3, to_rank: u3) !void {
+ const p = self.getSquare(from_file, from_rank);
+ self.setSquare(to_file, to_rank, p);
+ self.setSquare(from_file, from_rank, 0);
+ if (piece.typeOf(p) != piece.PieceType.pawn) {
+ self.halfmove += 1;
+ } else {
+ self.halfmove = 0;
+ }
+ self.swapTurn();
+ self.printBitboards();
+ }
+
+ pub fn getValidMoves(self: *BoardState, square: bitboard.Square, valid_moves: *std.ArrayList(bitboard.Square), allocator: std.mem.Allocator) !void {
+ const file: u3 = @intCast(square % 8);
+ const rank: u3 = @intCast(square / 8);
+ const p = self.getSquare(file, rank);
+ switch (piece.typeOf(p)) {
+ piece.PieceType.pawn => try self.getValidPawnMoves(p, square, valid_moves, allocator),
+ piece.PieceType.knight => try self.getValidKnightMoves(p, square, valid_moves, allocator),
+ piece.PieceType.bishop => try self.getValidBishopMoves(p, square, valid_moves, allocator),
+ piece.PieceType.rook => try self.getValidRookMoves(p, square, valid_moves, allocator),
+ piece.PieceType.queen => try self.getValidQueenMoves(p, square, valid_moves, allocator),
+ piece.PieceType.king => try self.getValidKingMoves(p, square, valid_moves, allocator),
+ else => return,
+ }
+ }
+
+ pub fn isSquareOccupied(self: *BoardState, square: bitboard.Square) bool {
+ return (@as(bitboard.Bitboard, 1) << square) & self.bitboards[0] != 0;
+ }
+
+ pub fn isOccupantBlack(self: *BoardState, square: bitboard.Square) bool {
+ return (@as(bitboard.Bitboard, 1) << square) & self.bitboards[7] != 0;
+ }
+
+ pub fn isOccupantWhite(self: *BoardState, square: bitboard.Square) bool {
+ return (@as(bitboard.Bitboard, 1) << square) & self.bitboards[15] != 0;
+ }
+
+ pub fn isOccupantOppositeColor(self: *BoardState, square: bitboard.Square, color: piece.Color) bool {
+ switch (color) {
+ .white => {
+ return (@as(bitboard.Bitboard, 1) << square) & self.bitboards[7] != 0;
+ },
+ .black => {
+ return (@as(bitboard.Bitboard, 1) << square) & self.bitboards[15] != 0;
+ },
+ }
+ }
+
+ pub fn getValidPawnMoves(self: *BoardState, p: u4, square: bitboard.Square, valid_moves: *std.ArrayList(bitboard.Square), allocator: std.mem.Allocator) !void {
+ const file: u3 = @intCast(square % 8);
+ valid_moves.clearRetainingCapacity();
+ const color = piece.colorOf(p) orelse return;
+ switch (color) {
+ .white => {
+ if (square >= 56) return;
+
+ if (!self.isSquareOccupied(square + 8)) {
+ try valid_moves.append(allocator, square + 8);
+
+ if (square >= 8 and square < 16 and !self.isSquareOccupied(square + 16)) {
+ try valid_moves.append(allocator, square + 16);
+ }
+ }
+
+ if (file > 0 and self.isOccupantBlack(square + 7)) {
+ try valid_moves.append(allocator, square + 7);
+ }
+
+ if (file < 7 and self.isOccupantBlack(square + 9)) {
+ try valid_moves.append(allocator, square + 9);
+ }
+ },
+ .black => {
+ if (square <= 7) return;
+
+ if (!self.isSquareOccupied(square - 8)) {
+ try valid_moves.append(allocator, square - 8);
+
+ if (square <= 55 and square >= 48 and !self.isSquareOccupied(square - 16)) {
+ try valid_moves.append(allocator, square - 16);
+ }
+ }
+
+ if (file > 0 and self.isOccupantWhite(square - 9)) {
+ try valid_moves.append(allocator, square - 9);
+ }
+
+ if (file < 7 and self.isOccupantWhite(square - 7)) {
+ try valid_moves.append(allocator, square - 7);
+ }
+ },
+ }
+ }
+ pub fn getValidKnightMoves(self: *BoardState, p: u4, square: bitboard.Square, valid_moves: *std.ArrayList(bitboard.Square), allocator: std.mem.Allocator) !void {
+ const file: u3 = @intCast(square % 8);
+ const rank: u3 = @intCast(square / 8);
+ valid_moves.clearRetainingCapacity();
+ const color = piece.colorOf(p) orelse return;
+ if (rank >= 1 and file >= 2 and (!self.isSquareOccupied(square - 10) or self.isOccupantOppositeColor(square - 10, color))) {
+ try valid_moves.append(allocator, square - 10);
+ }
+ if (rank >= 1 and file <= 5 and (!self.isSquareOccupied(square - 6) or self.isOccupantOppositeColor(square - 6, color))) {
+ try valid_moves.append(allocator, square - 6);
+ }
+ if (rank >= 2 and file >= 1 and (!self.isSquareOccupied(square - 17) or self.isOccupantOppositeColor(square - 17, color))) {
+ try valid_moves.append(allocator, square - 17);
+ }
+ if (rank >= 2 and file <= 6 and (!self.isSquareOccupied(square - 15) or self.isOccupantOppositeColor(square - 15, color))) {
+ try valid_moves.append(allocator, square - 15);
+ }
+ if (rank <= 6 and file >= 2 and (!self.isSquareOccupied(square + 6) or self.isOccupantOppositeColor(square + 6, color))) {
+ try valid_moves.append(allocator, square + 6);
+ }
+ if (rank <= 6 and file <= 5 and (!self.isSquareOccupied(square + 10) or self.isOccupantOppositeColor(square + 10, color))) {
+ try valid_moves.append(allocator, square + 10);
+ }
+ if (rank <= 5 and file >= 1 and (!self.isSquareOccupied(square + 15) or self.isOccupantOppositeColor(square + 15, color))) {
+ try valid_moves.append(allocator, square + 15);
+ }
+ if (rank <= 5 and file <= 6 and (!self.isSquareOccupied(square + 17) or self.isOccupantOppositeColor(square + 17, color))) {
+ try valid_moves.append(allocator, square + 17);
+ }
+ }
+ pub fn getValidBishopMoves(self: *BoardState, p: u4, square: bitboard.Square, valid_moves: *std.ArrayList(bitboard.Square), allocator: std.mem.Allocator) !void {
+ valid_moves.clearRetainingCapacity();
+ const color = piece.colorOf(p) orelse return;
+ const friendlies = switch (color) {
+ .white => self.bitboards[15],
+ .black => self.bitboards[7],
+ };
+ const all_occ = self.bitboards[0];
+
+ const attacks = magic.bishopAttacks(square, all_occ);
+ const legal = attacks & ~friendlies;
+
+ try appendMovesFromBitboard(legal, valid_moves, allocator);
+ }
+ pub fn getValidRookMoves(self: *BoardState, p: u4, square: bitboard.Square, valid_moves: *std.ArrayList(bitboard.Square), allocator: std.mem.Allocator) !void {
+ valid_moves.clearRetainingCapacity();
+ const color = piece.colorOf(p) orelse return;
+ const friendlies = switch (color) {
+ .white => self.bitboards[15],
+ .black => self.bitboards[7],
+ };
+ const all_occ = self.bitboards[0];
+
+ const attacks = magic.rookAttacks(square, all_occ);
+ const legal = attacks & ~friendlies;
+
+ try appendMovesFromBitboard(legal, valid_moves, allocator);
+ }
+ pub fn getValidQueenMoves(self: *BoardState, p: u4, square: bitboard.Square, valid_moves: *std.ArrayList(bitboard.Square), allocator: std.mem.Allocator) !void {
+ valid_moves.clearRetainingCapacity();
+ const color = piece.colorOf(p) orelse return;
+ const friendlies = switch (color) {
+ .white => self.bitboards[15],
+ .black => self.bitboards[7],
+ };
+ const all_occ = self.bitboards[0];
+
+ const attacks = magic.queenAttacks(square, all_occ);
+ const legal = attacks & ~friendlies;
+
+ try appendMovesFromBitboard(legal, valid_moves, allocator);
+ }
+ pub fn getValidKingMoves(self: *BoardState, p: u4, square: bitboard.Square, valid_moves: *std.ArrayList(bitboard.Square), allocator: std.mem.Allocator) !void {
+ valid_moves.clearRetainingCapacity();
+ const friendlies = if (piece.colorOf(p) == .white)
+ self.bitboards[15]
+ else
+ self.bitboards[7];
+
+ try appendMovesFromBitboard(king_masks[square] & ~friendlies, valid_moves, allocator);
+ }
+};
+
+fn appendMovesFromBitboard(moves: bitboard.Bitboard, valid_moves: *std.ArrayList(bitboard.Square), allocator: std.mem.Allocator) !void {
+ var bb = moves;
+ while (bb != 0) {
+ const to: bitboard.Square = @intCast(@ctz(bb));
+ try valid_moves.append(allocator, to);
+ bb &= bb - 1;
+ }
+}
+
+fn squareIndex(file: u8, rank: u8) !u6 {
+ if (file > 7) return error.InvalidSquare;
+ if (rank < 1 or rank > 8) return error.InvalidSquare;
+ return @intCast(((rank - 1) * 8) + file);
+}
+
+pub fn parseSquareFromAlgebraic(square: []const u8) !u6 {
+ if (square.len != 2) return error.InvalidSquare;
+ const file_ch = square[0];
+ const rank_ch = square[1];
+
+ if (file_ch < 'a' or file_ch > 'h') return error.InvalidSquare;
+ if (rank_ch < '1' or rank_ch > '8') return error.InvalidSquare;
+
+ return squareIndex(file_ch - 'a', rank_ch - '0');
+}
+
+fn generateKingMasks() [64]bitboard.Bitboard {
+ @setEvalBranchQuota(10_000);
+ var masks: [64]bitboard.Bitboard = [_]bitboard.Bitboard{0} ** 64;
+
+ var square_index: usize = 0;
+ while (square_index < 64) : (square_index += 1) {
+ const square: bitboard.Square = @intCast(square_index);
+ masks[square_index] = kingMaskForSquare(square);
+ }
+
+ return masks;
+}
+
+fn kingMaskForSquare(square: bitboard.Square) bitboard.Bitboard {
+ const file: i32 = @intCast(square % 8);
+ const rank: i32 = @intCast(square / 8);
+
+ var mask: bitboard.Bitboard = 0;
+
+ var dr: i32 = -1;
+ while (dr <= 1) : (dr += 1) {
+ var df: i32 = -1;
+ while (df <= 1) : (df += 1) {
+ if (dr == 0 and df == 0) continue;
+
+ const target_rank = rank + dr;
+ const target_file = file + df;
+
+ if (target_rank < 0 or target_rank > 7) continue;
+ if (target_file < 0 or target_file > 7) continue;
+
+ mask |= bitboard.bit(@intCast((target_rank * 8) + target_file));
+ }
+ }
+ return mask;
+}
+
+fn generateKnightMasks() [64]bitboard.Bitboard {
+ @setEvalBranchQuota(10_000);
+ var masks: [64]bitboard.Bitboard = [_]bitboard.Bitboard{0} ** 64;
+
+ var square_index: usize = 0;
+ while (square_index < 64) : (square_index += 1) {
+ const square: bitboard.Square = @intCast(square_index);
+ masks[square_index] = knightMaskForSquare(square);
+ }
+
+ return masks;
+}
+
+fn knightMaskForSquare(square: bitboard.Square) bitboard.Bitboard {
+ const file: i32 = @intCast(square % 8);
+ const rank: i32 = @intCast(square / 8);
+
+ var mask: bitboard.Bitboard = 0;
+
+ for (knight_offsets) |offset| {
+ const dr: i32 = offset[0];
+ const df: i32 = offset[1];
+
+ const target_rank = rank + dr;
+ const target_file = file + df;
+
+ if (target_rank < 0 or target_rank > 7) continue;
+ if (target_file < 0 or target_file > 7) continue;
+
+ mask |= bitboard.bit(@intCast((target_rank * 8) + target_file));
+ }
+
+ return mask;
+}
+
+fn generatePawnMasks(color: piece.Color) [64]bitboard.Bitboard {
+ @setEvalBranchQuota(10_000);
+ var masks: [64]bitboard.Bitboard = [_]bitboard.Bitboard{0} ** 64;
+
+ var square_index: usize = 0;
+ while (square_index < 64) : (square_index += 1) {
+ const square: bitboard.Square = @intCast(square_index);
+ masks[square_index] = switch (color) {
+ .white => whitePawnMaskForSquare(square),
+ .black => blackPawnMaskForSquare(square),
+ };
+ }
+
+ return masks;
+}
+
+fn whitePawnMaskForSquare(square: bitboard.Square) bitboard.Bitboard {
+ const file: i32 = @intCast(square % 8);
+ const rank: i32 = @intCast(square / 8);
+
+ var mask: bitboard.Bitboard = 0;
+
+ const target_rank = rank + 1;
+ if (target_rank > 7) return 0;
+ var target_file = file + 1;
+ if (target_file < 7) mask |= bitboard.bit(@intCast((target_rank * 8) + target_file));
+ target_file = file - 1;
+ if (target_file > 0) mask |= bitboard.bit(@intCast((target_rank * 8) + target_file));
+
+ return mask;
+}
+
+fn blackPawnMaskForSquare(square: bitboard.Square) bitboard.Bitboard {
+ const file: i32 = @intCast(square % 8);
+ const rank: i32 = @intCast(square / 8);
+
+ var mask: bitboard.Bitboard = 0;
+
+ const target_rank = rank - 1;
+ if (target_rank < 0) return 0;
+ var target_file = file + 1;
+ if (target_file < 7) mask |= bitboard.bit(@intCast((target_rank * 8) + target_file));
+ target_file = file - 1;
+ if (target_file > 0) mask |= bitboard.bit(@intCast((target_rank * 8) + target_file));
+
+ return mask;
+}
+
+test "setSquare and getSquare store one 4-bit piece per square" {
+ var state = BoardState.empty();
+
+ state.setSquare(0, 0, piece.encode(.white, .rook));
+ state.setSquare(0, 4, piece.encode(.white, .king));
+ state.setSquare(7, 4, piece.encode(.black, .king));
+ state.setSquare(6, 0, piece.encode(.black, .pawn));
+
+ try std.testing.expectEqual(piece.encode(.white, .rook), state.getSquare(0, 0));
+ try std.testing.expectEqual(piece.encode(.white, .king), state.getSquare(0, 4));
+ try std.testing.expectEqual(piece.encode(.black, .king), state.getSquare(7, 4));
+ try std.testing.expectEqual(piece.encode(.black, .pawn), state.getSquare(6, 0));
+
+ try std.testing.expectEqual(@as(u4, 0), state.getSquare(3, 3));
+}
+
+test "empty board has empty piece bitboards" {
+ const state = BoardState.empty();
+
+ for (state.bitboards) |bb| {
+ try std.testing.expectEqual(@as(bitboard.Bitboard, 0), bb);
+ }
+}
+
+test "setSquare sets matching piece bitboard bit" {
+ var state = BoardState.empty();
+ const white_rook = piece.encode(.white, .rook);
+ const black_pawn = piece.encode(.black, .pawn);
+
+ state.setSquare(0, 0, white_rook);
+ state.setSquare(6, 1, black_pawn);
+
+ try std.testing.expectEqual(bitboard.bit(0), state.bitboards[white_rook]);
+ try std.testing.expectEqual(bitboard.bit(14), state.bitboards[black_pawn]);
+}
+
+test "setSquare replacing a piece clears old piece bitboard bit" {
+ var state = BoardState.empty();
+ const white_rook = piece.encode(.white, .rook);
+ const white_queen = piece.encode(.white, .queen);
+
+ state.setSquare(0, 0, white_rook);
+ state.setSquare(0, 0, white_queen);
+
+ try std.testing.expectEqual(@as(bitboard.Bitboard, 0), state.bitboards[white_rook]);
+ try std.testing.expectEqual(bitboard.bit(0), state.bitboards[white_queen]);
+}
+
+test "setSquare clearing a square clears piece bitboard bit" {
+ var state = BoardState.empty();
+ const black_king = piece.encode(.black, .king);
+
+ state.setSquare(4, 7, black_king);
+ state.setSquare(4, 7, 0);
+
+ try std.testing.expectEqual(@as(u4, 0), state.getSquare(4, 7));
+ try std.testing.expectEqual(@as(bitboard.Bitboard, 0), state.bitboards[black_king]);
+}
+
+fn expectPawnMoves(state: *BoardState, from: bitboard.Square, expected: []const bitboard.Square) !void {
+ var moves: std.ArrayList(bitboard.Square) = .empty;
+ defer moves.deinit(std.testing.allocator);
+
+ try state.getValidMoves(from, &moves, std.testing.allocator);
+ try std.testing.expectEqualSlices(bitboard.Square, expected, moves.items);
+}
+
+test "white pawn moves one or two squares from starting rank when clear" {
+ var state = BoardState.empty();
+ state.setSquare(4, 1, piece.encode(.white, .pawn));
+
+ try expectPawnMoves(&state, 12, &.{ 20, 28 });
+}
+
+test "white pawn cannot move forward into occupied square but can capture diagonally" {
+ var state = BoardState.empty();
+ state.setSquare(4, 1, piece.encode(.white, .pawn));
+ state.setSquare(4, 2, piece.encode(.black, .knight));
+ state.setSquare(3, 2, piece.encode(.black, .bishop));
+ state.setSquare(5, 2, piece.encode(.black, .rook));
+
+ try expectPawnMoves(&state, 12, &.{ 19, 21 });
+}
+
+test "white pawn captures do not wrap around board edges" {
+ var state = BoardState.empty();
+ state.setSquare(0, 1, piece.encode(.white, .pawn));
+ state.setSquare(7, 1, piece.encode(.black, .rook));
+ state.setSquare(1, 2, piece.encode(.black, .knight));
+
+ try expectPawnMoves(&state, 8, &.{ 16, 24, 17 });
+}
+
+test "black pawn moves one or two squares from starting rank when clear" {
+ var state = BoardState.empty();
+ state.setSquare(4, 6, piece.encode(.black, .pawn));
+
+ try expectPawnMoves(&state, 52, &.{ 44, 36 });
+}
+
+test "black pawn cannot move forward into occupied square but can capture diagonally" {
+ var state = BoardState.empty();
+ state.setSquare(4, 6, piece.encode(.black, .pawn));
+ state.setSquare(4, 5, piece.encode(.white, .knight));
+ state.setSquare(3, 5, piece.encode(.white, .bishop));
+ state.setSquare(5, 5, piece.encode(.white, .rook));
+
+ try expectPawnMoves(&state, 52, &.{ 43, 45 });
+}
+
+test "black pawn captures do not wrap around board edges" {
+ var state = BoardState.empty();
+ state.setSquare(7, 6, piece.encode(.black, .pawn));
+ state.setSquare(0, 5, piece.encode(.white, .rook));
+ state.setSquare(6, 5, piece.encode(.white, .knight));
+
+ try expectPawnMoves(&state, 55, &.{ 47, 39, 46 });
+}
+
+test "white knight in center can move to all eight target squares" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.white, .knight));
+
+ try expectPawnMoves(&state, 27, &.{ 17, 21, 10, 12, 33, 37, 42, 44 });
+}
+
+test "white knight in corner only has two target squares" {
+ var state = BoardState.empty();
+ state.setSquare(0, 0, piece.encode(.white, .knight));
+
+ try expectPawnMoves(&state, 0, &.{ 10, 17 });
+}
+
+test "white knight can capture enemy pieces but not move onto friendly pieces" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.white, .knight));
+ state.setSquare(2, 1, piece.encode(.white, .pawn));
+ state.setSquare(4, 1, piece.encode(.white, .bishop));
+ state.setSquare(1, 2, piece.encode(.black, .pawn));
+ state.setSquare(5, 2, piece.encode(.black, .rook));
+
+ try expectPawnMoves(&state, 27, &.{ 17, 21, 33, 37, 42, 44 });
+}
+
+test "black knight can capture white pieces but not move onto black pieces" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.black, .knight));
+ state.setSquare(2, 1, piece.encode(.black, .pawn));
+ state.setSquare(4, 1, piece.encode(.black, .bishop));
+ state.setSquare(1, 2, piece.encode(.white, .pawn));
+ state.setSquare(5, 2, piece.encode(.white, .rook));
+
+ try expectPawnMoves(&state, 27, &.{ 17, 21, 33, 37, 42, 44 });
+}
+
+test "black knight near edge does not wrap around board" {
+ var state = BoardState.empty();
+ state.setSquare(7, 7, piece.encode(.black, .knight));
+
+ try expectPawnMoves(&state, 63, &.{ 53, 46 });
+}
+
+test "king mask for A1 includes three neighboring squares" {
+ try std.testing.expectEqual(bitboard.bit(1) | bitboard.bit(8) | bitboard.bit(9), king_masks[0]);
+}
+
+test "king mask for D4 includes all eight neighboring squares" {
+ const expected = bitboard.bit(18) |
+ bitboard.bit(19) |
+ bitboard.bit(20) |
+ bitboard.bit(26) |
+ bitboard.bit(28) |
+ bitboard.bit(34) |
+ bitboard.bit(35) |
+ bitboard.bit(36);
+
+ try std.testing.expectEqual(expected, king_masks[27]);
+}
+
+test "king mask for H8 includes three neighboring squares" {
+ try std.testing.expectEqual(bitboard.bit(54) | bitboard.bit(55) | bitboard.bit(62), king_masks[63]);
+}
+
+test "knight mask for A1 includes two target squares" {
+ try std.testing.expectEqual(bitboard.bit(10) | bitboard.bit(17), knight_masks[0]);
+}
+
+test "knight mask for D4 includes all eight target squares" {
+ const expected = bitboard.bit(10) |
+ bitboard.bit(12) |
+ bitboard.bit(17) |
+ bitboard.bit(21) |
+ bitboard.bit(33) |
+ bitboard.bit(37) |
+ bitboard.bit(42) |
+ bitboard.bit(44);
+
+ try std.testing.expectEqual(expected, knight_masks[27]);
+}
+
+test "knight mask for H8 includes two target squares" {
+ try std.testing.expectEqual(bitboard.bit(46) | bitboard.bit(53), knight_masks[63]);
+}
+
+test "white pawn attack mask for A2 includes only B3" {
+ try std.testing.expectEqual(bitboard.bit(17), white_pawn_masks[8]);
+}
+
+test "white pawn attack mask for D4 includes C5 and E5" {
+ try std.testing.expectEqual(bitboard.bit(34) | bitboard.bit(36), white_pawn_masks[27]);
+}
+
+test "white pawn attack mask for H7 includes only G8" {
+ try std.testing.expectEqual(bitboard.bit(62), white_pawn_masks[55]);
+}
+
+test "black pawn attack mask for H7 includes only G6" {
+ try std.testing.expectEqual(bitboard.bit(46), black_pawn_masks[55]);
+}
+
+test "black pawn attack mask for D5 includes C4 and E4" {
+ try std.testing.expectEqual(bitboard.bit(26) | bitboard.bit(28), black_pawn_masks[35]);
+}
+
+test "black pawn attack mask for A2 includes only B1" {
+ try std.testing.expectEqual(bitboard.bit(1), black_pawn_masks[8]);
+}
+
+test "white king in center can move to all eight target squares" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.white, .king));
+
+ try expectPawnMoves(&state, 27, &.{ 18, 19, 20, 26, 28, 34, 35, 36 });
+}
+
+test "white king in corner only has three target squares" {
+ var state = BoardState.empty();
+ state.setSquare(0, 0, piece.encode(.white, .king));
+
+ try expectPawnMoves(&state, 0, &.{ 1, 8, 9 });
+}
+
+test "white king can capture enemy pieces but not move onto friendly pieces" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.white, .king));
+ state.setSquare(2, 2, piece.encode(.white, .pawn));
+ state.setSquare(3, 2, piece.encode(.white, .bishop));
+ state.setSquare(4, 2, piece.encode(.black, .pawn));
+ state.setSquare(2, 3, piece.encode(.black, .rook));
+
+ try expectPawnMoves(&state, 27, &.{ 20, 26, 28, 34, 35, 36 });
+}
+
+test "black king can capture white pieces but not move onto black pieces" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.black, .king));
+ state.setSquare(2, 2, piece.encode(.black, .pawn));
+ state.setSquare(3, 2, piece.encode(.black, .bishop));
+ state.setSquare(4, 2, piece.encode(.white, .pawn));
+ state.setSquare(2, 3, piece.encode(.white, .rook));
+
+ try expectPawnMoves(&state, 27, &.{ 20, 26, 28, 34, 35, 36 });
+}
+
+test "white rook in center can move along open rank and file" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.white, .rook));
+
+ try expectPawnMoves(&state, 27, &.{ 3, 11, 19, 24, 25, 26, 28, 29, 30, 31, 35, 43, 51, 59 });
+}
+
+test "white rook stops at blockers captures enemies and excludes friendly squares" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.white, .rook));
+ state.setSquare(3, 4, piece.encode(.black, .pawn));
+ state.setSquare(3, 1, piece.encode(.black, .knight));
+ state.setSquare(6, 3, piece.encode(.black, .bishop));
+ state.setSquare(1, 3, piece.encode(.white, .pawn));
+
+ try expectPawnMoves(&state, 27, &.{ 11, 19, 26, 28, 29, 30, 35 });
+}
+
+test "black bishop in center can move along open diagonals" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.black, .bishop));
+
+ try expectPawnMoves(&state, 27, &.{ 0, 6, 9, 13, 18, 20, 34, 36, 41, 45, 48, 54, 63 });
+}
+
+test "black bishop stops at blockers captures enemies and excludes friendly squares" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.black, .bishop));
+ state.setSquare(5, 5, piece.encode(.white, .pawn));
+ state.setSquare(1, 1, piece.encode(.white, .knight));
+ state.setSquare(1, 5, piece.encode(.black, .rook));
+ state.setSquare(5, 1, piece.encode(.black, .pawn));
+
+ try expectPawnMoves(&state, 27, &.{ 9, 18, 20, 34, 36, 45 });
+}
+
+test "white queen in center combines rook and bishop moves on open board" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.white, .queen));
+
+ try expectPawnMoves(&state, 27, &.{ 0, 3, 6, 9, 11, 13, 18, 19, 20, 24, 25, 26, 28, 29, 30, 31, 34, 35, 36, 41, 43, 45, 48, 51, 54, 59, 63 });
+}
+
+test "white queen stops at blockers captures enemies and excludes friendly squares" {
+ var state = BoardState.empty();
+ state.setSquare(3, 3, piece.encode(.white, .queen));
+ state.setSquare(3, 4, piece.encode(.black, .pawn));
+ state.setSquare(3, 1, piece.encode(.black, .knight));
+ state.setSquare(6, 3, piece.encode(.black, .bishop));
+ state.setSquare(1, 3, piece.encode(.white, .pawn));
+ state.setSquare(5, 5, piece.encode(.black, .pawn));
+ state.setSquare(1, 1, piece.encode(.black, .knight));
+ state.setSquare(1, 5, piece.encode(.white, .rook));
+ state.setSquare(5, 1, piece.encode(.white, .pawn));
+
+ try expectPawnMoves(&state, 27, &.{ 9, 11, 18, 19, 20, 26, 28, 29, 30, 34, 35, 36, 45 });
+}
+
+test "rank packing matches reference layout" {
+ var state = BoardState.empty();
+
+ state.setSquare(0, 0, piece.encode(.white, .rook));
+ state.setSquare(1, 0, piece.encode(.white, .knight));
+ state.setSquare(2, 0, piece.encode(.white, .bishop));
+ state.setSquare(3, 0, piece.encode(.white, .queen));
+ state.setSquare(4, 0, piece.encode(.white, .king));
+ state.setSquare(5, 0, piece.encode(.white, .bishop));
+ state.setSquare(6, 0, piece.encode(.white, .knight));
+ state.setSquare(7, 0, piece.encode(.white, .rook));
+
+ try std.testing.expectEqual(@as(u32, 0xCABEDBAC), state.board[0]);
+}
+
+test "parseSquareFromAlgebraic parses board coordinates" {
+ try std.testing.expectEqual(@as(u6, 0), try parseSquareFromAlgebraic("a1"));
+ try std.testing.expectEqual(@as(u6, 7), try parseSquareFromAlgebraic("h1"));
+ try std.testing.expectEqual(@as(u6, 56), try parseSquareFromAlgebraic("a8"));
+ try std.testing.expectEqual(@as(u6, 63), try parseSquareFromAlgebraic("h8"));
+ try std.testing.expectEqual(@as(u6, 20), try parseSquareFromAlgebraic("e3"));
+ try std.testing.expectEqual(@as(u6, 44), try parseSquareFromAlgebraic("e6"));
+}
+
+test "parseSquareFromAlgebraic rejects invalid coordinates" {
+ try std.testing.expectError(error.InvalidSquare, parseSquareFromAlgebraic(""));
+ try std.testing.expectError(error.InvalidSquare, parseSquareFromAlgebraic("e"));
+ try std.testing.expectError(error.InvalidSquare, parseSquareFromAlgebraic("e33"));
+ try std.testing.expectError(error.InvalidSquare, parseSquareFromAlgebraic("i3"));
+ try std.testing.expectError(error.InvalidSquare, parseSquareFromAlgebraic("e9"));
+ try std.testing.expectError(error.InvalidSquare, parseSquareFromAlgebraic("E3"));
+}
diff --git a/src/chess/fen.zig b/src/chess/fen.zig
new file mode 100644
index 0000000..a2a4cb6
--- /dev/null
+++ b/src/chess/fen.zig
@@ -0,0 +1,600 @@
+const std = @import("std");
+
+const piece = @import("piece.zig");
+const board = @import("board.zig");
+
+pub fn parseFen(fen: []const u8) !board.BoardState {
+ var state = board.BoardState.empty();
+ var it = std.mem.splitScalar(u8, fen, ' ');
+ var field_index: usize = 0;
+
+ while (it.next()) |field| : (field_index += 1) {
+ if (field_index >= 6) return error.InvalidFenFieldCount;
+
+ switch (field_index) {
+ 0 => try parseBoardPlacement(&state, field),
+ 1 => try parseTurn(&state, field),
+ 2 => try parseCastleRights(&state, field),
+ 3 => try parseEnPassant(&state, field),
+ 4 => try parseHalfmove(&state, field),
+ 5 => try parseFullmove(&state, field),
+ else => unreachable,
+ }
+ }
+ if (field_index != 6) return error.InvalidFenFieldCount;
+
+ return state;
+}
+
+pub fn parseBoardPlacement(state: *board.BoardState, placement: []const u8) !void {
+ var it = std.mem.splitScalar(u8, placement, '/');
+
+ var rank_count: u4 = 0;
+ while (it.next()) |part| {
+ if (rank_count >= 8) return error.InvalidRankCount;
+
+ const rank: u3 = @intCast(7 - rank_count);
+ var file: u4 = 0;
+
+ for (part) |c| {
+ switch (c) {
+ '1'...'9' => {
+ file += @intCast(c - '0');
+ if (file > 8) return error.InvalidRankWidth;
+ },
+ 'P',
+ 'N',
+ 'B',
+ 'R',
+ 'Q',
+ 'K',
+ 'p',
+ 'n',
+ 'b',
+ 'r',
+ 'q',
+ 'k',
+ => {
+ if (file >= 8) return error.InvalidRankWidth;
+ const p = try piece.fromFENChar(c);
+ state.setSquare(@intCast(file), rank, p);
+ file += 1;
+ },
+ else => return error.InvalidFenCharacter,
+ }
+ }
+
+ if (file != 8) return error.InvalidRankWidth;
+ rank_count += 1;
+ }
+
+ if (rank_count != 8) return error.InvalidRankCount;
+}
+
+pub fn parseTurn(state: *board.BoardState, turn_string: []const u8) !void {
+ if (turn_string.len != 1) return error.InvalidTurnChar;
+ const turn_char = turn_string[0];
+ if (turn_char == 'w') {
+ state.turn = piece.Color.white;
+ } else if (turn_char == 'b') {
+ state.turn = piece.Color.black;
+ } else {
+ return error.InvalidTurnChar;
+ }
+}
+
+pub fn parseHalfmove(state: *board.BoardState, halfmove_string: []const u8) !void {
+ state.halfmove = try std.fmt.parseInt(u8, halfmove_string, 10);
+}
+
+pub fn parseFullmove(state: *board.BoardState, fullmove_string: []const u8) !void {
+ const fullmove = try std.fmt.parseInt(u32, fullmove_string, 10);
+ if (fullmove == 0) return error.InvalidFullmoveNumber;
+ state.fullmove = fullmove;
+}
+
+pub fn parseCastleRights(state: *board.BoardState, castle_string: []const u8) !void {
+ if (std.mem.eql(u8, castle_string, "")) return error.InvalidCastlingRights;
+ if (std.mem.eql(u8, castle_string, "-")) {
+ state.castle_rights = 0;
+ return;
+ }
+ var rights: u4 = 0;
+ var last_order: u3 = 0;
+ for (castle_string) |c| {
+ const bit: u4 = switch (c) {
+ 'K' => 0b1000,
+ 'Q' => 0b0100,
+ 'k' => 0b0010,
+ 'q' => 0b0001,
+ else => return error.InvalidCastlingRights,
+ };
+ const order: u3 = switch (c) {
+ 'K' => 1,
+ 'Q' => 2,
+ 'k' => 3,
+ 'q' => 4,
+ else => unreachable,
+ };
+ if (order <= last_order) {
+ return error.InvalidCastlingRights;
+ }
+ if ((rights & bit) != 0) {
+ return error.InvalidCastlingRights;
+ }
+ rights |= bit;
+ last_order = order;
+ }
+ state.castle_rights = rights;
+}
+
+pub fn isEnPassantCapturable(state: *board.BoardState, ep_square: u6) bool {
+ const file: u3 = @intCast(ep_square % 8);
+ const rank: u3 = @intCast((ep_square / 8) + 1);
+
+ var pawn_rank: u3 = 0;
+ if (state.turn == piece.Color.white) {
+ if (rank != 6) return false;
+ pawn_rank = 4;
+ } else {
+ if (rank != 3) return false;
+ pawn_rank = 3;
+ }
+ var p: u4 = 0;
+ if (file == 0) {
+ p = state.getSquare(file + 1, pawn_rank);
+ if (piece.typeOf(p) == piece.PieceType.pawn and piece.colorOf(p) == state.turn) {
+ return true;
+ }
+ } else if (file == 7) {
+ p = state.getSquare(file - 1, pawn_rank);
+ if (piece.typeOf(p) == piece.PieceType.pawn and piece.colorOf(p) == state.turn) {
+ return true;
+ }
+ } else {
+ p = state.getSquare(file - 1, pawn_rank);
+ if (piece.typeOf(p) == piece.PieceType.pawn and piece.colorOf(p) == state.turn) {
+ return true;
+ }
+ p = state.getSquare(file + 1, pawn_rank);
+ if (piece.typeOf(p) == piece.PieceType.pawn and piece.colorOf(p) == state.turn) {
+ return true;
+ }
+ }
+ return false;
+}
+
+pub fn parseEnPassant(state: *board.BoardState, ep_string: []const u8) !void {
+ if (std.mem.eql(u8, ep_string, "-")) {
+ state.en_passant = 0;
+ return;
+ }
+ if (ep_string.len != 2) return error.InvalidSquare;
+ const ep_square = try board.parseSquareFromAlgebraic(ep_string);
+ if (ep_string[1] != '3' and ep_string[1] != '6') return error.InvalidEnPassantSquare;
+
+ if (isEnPassantCapturable(state, ep_square)) {
+ state.en_passant = (1 << 6) | @as(u7, ep_square);
+ } else {
+ state.en_passant = 0;
+ }
+}
+
+fn pieceToFenChar(encoded: u4) !u8 {
+ const color = piece.colorOf(encoded) orelse return error.InvalidPiece;
+
+ return switch (piece.typeOf(encoded)) {
+ .pawn => if (color == .white) 'P' else 'p',
+ .knight => if (color == .white) 'N' else 'n',
+ .bishop => if (color == .white) 'B' else 'b',
+ .rook => if (color == .white) 'R' else 'r',
+ .queen => if (color == .white) 'Q' else 'q',
+ .king => if (color == .white) 'K' else 'k',
+ .none => error.InvalidPiece,
+ };
+}
+
+fn appendBoardPlacement(allocator: std.mem.Allocator, out: *std.ArrayList(u8), state: board.BoardState) !void {
+ var rank: u4 = 8;
+ while (rank > 0) {
+ rank -= 1;
+ var empty_count: u4 = 0;
+
+ var file: u4 = 0;
+ while (file < 8) : (file += 1) {
+ const square = state.getSquare(@intCast(file), @intCast(rank));
+ if (square == 0) {
+ empty_count += 1;
+ continue;
+ }
+
+ if (empty_count > 0) {
+ try out.append(allocator, '0' + @as(u8, @intCast(empty_count)));
+ empty_count = 0;
+ }
+
+ try out.append(allocator, try pieceToFenChar(square));
+ }
+
+ if (empty_count > 0) {
+ try out.append(allocator, '0' + @as(u8, @intCast(empty_count)));
+ }
+
+ if (rank > 0) try out.append(allocator, '/');
+ }
+}
+
+fn appendCastleRights(allocator: std.mem.Allocator, out: *std.ArrayList(u8), rights: u4) !void {
+ if (rights == 0) {
+ try out.append(allocator, '-');
+ return;
+ }
+
+ if ((rights & 0b1000) != 0) try out.append(allocator, 'K');
+ if ((rights & 0b0100) != 0) try out.append(allocator, 'Q');
+ if ((rights & 0b0010) != 0) try out.append(allocator, 'k');
+ if ((rights & 0b0001) != 0) try out.append(allocator, 'q');
+}
+
+fn appendEnPassant(allocator: std.mem.Allocator, out: *std.ArrayList(u8), en_passant: u7) !void {
+ const valid = (en_passant & (@as(u7, 1) << 6)) != 0;
+ if (!valid) {
+ try out.append(allocator, '-');
+ return;
+ }
+
+ const square = en_passant & 0b111111;
+ const file: u8 = @intCast(square % 8);
+ const rank: u8 = @intCast(square / 8);
+
+ try out.append(allocator, 'a' + file);
+ try out.append(allocator, '1' + rank);
+}
+
+pub fn formatFen(allocator: std.mem.Allocator, state: board.BoardState) ![]u8 {
+ var out: std.ArrayList(u8) = .empty;
+ errdefer out.deinit(allocator);
+
+ try appendBoardPlacement(allocator, &out, state);
+ try out.append(allocator, ' ');
+
+ try out.append(allocator, if (state.turn == .white) 'w' else 'b');
+ try out.append(allocator, ' ');
+
+ try appendCastleRights(allocator, &out, state.castle_rights);
+ try out.append(allocator, ' ');
+
+ try appendEnPassant(allocator, &out, state.en_passant);
+ try out.append(allocator, ' ');
+
+ var halfmove_buf: [3]u8 = undefined;
+ const halfmove = try std.fmt.bufPrint(&halfmove_buf, "{}", .{state.halfmove});
+ try out.appendSlice(allocator, halfmove);
+ try out.append(allocator, ' ');
+
+ var fullmove_buf: [10]u8 = undefined;
+ const fullmove = try std.fmt.bufPrint(&fullmove_buf, "{}", .{state.fullmove});
+ try out.appendSlice(allocator, fullmove);
+
+ return try out.toOwnedSlice(allocator);
+}
+
+test "parseBoardPlacement parses starting position" {
+ var state = board.BoardState.empty();
+ try parseBoardPlacement(
+ &state,
+ "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR",
+ );
+
+ try std.testing.expectEqual(@as(u32, 0xCABEDBAC), state.board[0]);
+ try std.testing.expectEqual(@as(u32, 0x99999999), state.board[1]);
+ try std.testing.expectEqual(@as(u32, 0x00000000), state.board[2]);
+ try std.testing.expectEqual(@as(u32, 0x00000000), state.board[3]);
+ try std.testing.expectEqual(@as(u32, 0x00000000), state.board[4]);
+ try std.testing.expectEqual(@as(u32, 0x00000000), state.board[5]);
+ try std.testing.expectEqual(@as(u32, 0x11111111), state.board[6]);
+ try std.testing.expectEqual(@as(u32, 0x42365324), state.board[7]);
+}
+
+test "parseBoardPlacement rejects invalid rank counts" {
+ var state = board.BoardState.empty();
+
+ try std.testing.expectError(
+ error.InvalidRankCount,
+ parseBoardPlacement(&state, "8/8/8/8/8/8/8"),
+ );
+
+ try std.testing.expectError(
+ error.InvalidRankCount,
+ parseBoardPlacement(&state, "8/8/8/8/8/8/8/8/8"),
+ );
+}
+
+test "parseBoardPlacement rejects ranks that are not exactly eight squares" {
+ var state = board.BoardState.empty();
+
+ try std.testing.expectError(
+ error.InvalidRankWidth,
+ parseBoardPlacement(&state, "7/8/8/8/8/8/8/8"),
+ );
+
+ try std.testing.expectError(
+ error.InvalidRankWidth,
+ parseBoardPlacement(&state, "9/8/8/8/8/8/8/8"),
+ );
+
+ try std.testing.expectError(
+ error.InvalidRankWidth,
+ parseBoardPlacement(&state, "8P/8/8/8/8/8/8/8"),
+ );
+}
+
+test "parseTurn accepts white and black active colors" {
+ var state = board.BoardState.empty();
+
+ try parseTurn(&state, "b");
+ try std.testing.expectEqual(piece.Color.black, state.turn);
+
+ try parseTurn(&state, "w");
+ try std.testing.expectEqual(piece.Color.white, state.turn);
+}
+
+test "parseTurn rejects invalid active color" {
+ var state = board.BoardState.empty();
+
+ try std.testing.expectError(error.InvalidTurnChar, parseTurn(&state, "x"));
+ try std.testing.expectError(error.InvalidTurnChar, parseTurn(&state, "white"));
+}
+
+test "parseHalfmove parses decimal halfmove clock" {
+ var state = board.BoardState.empty();
+
+ try parseHalfmove(&state, "42");
+ try std.testing.expectEqual(@as(u8, 42), state.halfmove);
+}
+
+test "parseHalfmove rejects invalid or overflowing values" {
+ var state = board.BoardState.empty();
+
+ try std.testing.expectError(error.InvalidCharacter, parseHalfmove(&state, "abc"));
+ try std.testing.expectError(error.Overflow, parseHalfmove(&state, "256"));
+}
+
+test "parseFullmove parses decimal fullmove number" {
+ var state = board.BoardState.empty();
+
+ try parseFullmove(&state, "1");
+ try std.testing.expectEqual(@as(u32, 1), state.fullmove);
+
+ try parseFullmove(&state, "300");
+ try std.testing.expectEqual(@as(u32, 300), state.fullmove);
+}
+
+test "parseFullmove rejects zero and invalid values" {
+ var state = board.BoardState.empty();
+
+ try std.testing.expectError(error.InvalidFullmoveNumber, parseFullmove(&state, "0"));
+ try std.testing.expectError(error.InvalidCharacter, parseFullmove(&state, "abc"));
+}
+
+test "parseCastleRights parses no castling rights" {
+ var state = board.BoardState.empty();
+
+ try parseCastleRights(&state, "-");
+ try std.testing.expectEqual(@as(u4, 0b0000), state.castle_rights);
+}
+
+test "parseCastleRights parses individual and combined rights" {
+ var state = board.BoardState.empty();
+
+ try parseCastleRights(&state, "K");
+ try std.testing.expectEqual(@as(u4, 0b1000), state.castle_rights);
+
+ try parseCastleRights(&state, "Q");
+ try std.testing.expectEqual(@as(u4, 0b0100), state.castle_rights);
+
+ try parseCastleRights(&state, "k");
+ try std.testing.expectEqual(@as(u4, 0b0010), state.castle_rights);
+
+ try parseCastleRights(&state, "q");
+ try std.testing.expectEqual(@as(u4, 0b0001), state.castle_rights);
+
+ try parseCastleRights(&state, "KQkq");
+ try std.testing.expectEqual(@as(u4, 0b1111), state.castle_rights);
+
+ try parseCastleRights(&state, "Kq");
+ try std.testing.expectEqual(@as(u4, 0b1001), state.castle_rights);
+
+ try parseCastleRights(&state, "kq");
+ try std.testing.expectEqual(@as(u4, 0b0011), state.castle_rights);
+}
+
+test "parseCastleRights rejects invalid castling rights" {
+ var state = board.BoardState.empty();
+
+ try std.testing.expectError(error.InvalidCastlingRights, parseCastleRights(&state, ""));
+ try std.testing.expectError(error.InvalidCastlingRights, parseCastleRights(&state, "K-"));
+ try std.testing.expectError(error.InvalidCastlingRights, parseCastleRights(&state, "A"));
+ try std.testing.expectError(error.InvalidCastlingRights, parseCastleRights(&state, "KK"));
+ try std.testing.expectError(error.InvalidCastlingRights, parseCastleRights(&state, "qK"));
+}
+
+test "parseEnPassant parses no en passant target" {
+ var state = board.BoardState.empty();
+
+ try parseEnPassant(&state, "-");
+ try std.testing.expectEqual(@as(u7, 0), state.en_passant);
+}
+
+test "parseEnPassant stores zero when target is not capturable" {
+ var state = board.BoardState.empty();
+
+ state.turn = .black;
+ try parseEnPassant(&state, "e3");
+ try std.testing.expectEqual(@as(u7, 0), state.en_passant);
+
+ state.turn = .white;
+ try parseEnPassant(&state, "e6");
+ try std.testing.expectEqual(@as(u7, 0), state.en_passant);
+}
+
+test "parseEnPassant stores rank 6 target capturable by white pawn" {
+ var state = board.BoardState.empty();
+ state.turn = .white;
+ state.setSquare(3, 4, piece.encode(.white, .pawn)); // d5 can capture e6
+
+ try parseEnPassant(&state, "e6");
+ try std.testing.expectEqual(@as(u7, 108), state.en_passant);
+}
+
+test "parseEnPassant stores rank 3 target capturable by black pawn" {
+ var state = board.BoardState.empty();
+ state.turn = .black;
+ state.setSquare(5, 3, piece.encode(.black, .pawn)); // f4 can capture e3
+
+ try parseEnPassant(&state, "e3");
+ try std.testing.expectEqual(@as(u7, 84), state.en_passant);
+}
+
+test "parseEnPassant handles capturable edge-file targets" {
+ var white_state = board.BoardState.empty();
+ white_state.turn = .white;
+ white_state.setSquare(1, 4, piece.encode(.white, .pawn)); // b5 can capture a6
+
+ try parseEnPassant(&white_state, "a6");
+ try std.testing.expectEqual(@as(u7, 104), white_state.en_passant);
+
+ var black_state = board.BoardState.empty();
+ black_state.turn = .black;
+ black_state.setSquare(6, 3, piece.encode(.black, .pawn)); // g4 can capture h3
+
+ try parseEnPassant(&black_state, "h3");
+ try std.testing.expectEqual(@as(u7, 87), black_state.en_passant);
+}
+
+test "parseEnPassant ignores adjacent pawn of wrong color" {
+ var state = board.BoardState.empty();
+ state.turn = .white;
+ state.setSquare(3, 4, piece.encode(.black, .pawn));
+
+ try parseEnPassant(&state, "e6");
+ try std.testing.expectEqual(@as(u7, 0), state.en_passant);
+}
+
+test "parseEnPassant rejects invalid target squares" {
+ var state = board.BoardState.empty();
+
+ try std.testing.expectError(error.InvalidSquare, parseEnPassant(&state, ""));
+ try std.testing.expectError(error.InvalidSquare, parseEnPassant(&state, "e"));
+ try std.testing.expectError(error.InvalidSquare, parseEnPassant(&state, "i3"));
+ try std.testing.expectError(error.InvalidSquare, parseEnPassant(&state, "e9"));
+}
+
+test "parseEnPassant rejects target squares outside ranks 3 and 6" {
+ var state = board.BoardState.empty();
+
+ try std.testing.expectError(error.InvalidEnPassantSquare, parseEnPassant(&state, "e2"));
+ try std.testing.expectError(error.InvalidEnPassantSquare, parseEnPassant(&state, "e4"));
+ try std.testing.expectError(error.InvalidEnPassantSquare, parseEnPassant(&state, "e5"));
+ try std.testing.expectError(error.InvalidEnPassantSquare, parseEnPassant(&state, "e7"));
+}
+
+test "parseFen parses starting position" {
+ const state = try parseFen("rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1");
+
+ try std.testing.expectEqual(@as(u32, 0xCABEDBAC), state.board[0]);
+ try std.testing.expectEqual(@as(u32, 0x99999999), state.board[1]);
+ try std.testing.expectEqual(@as(u32, 0x00000000), state.board[2]);
+ try std.testing.expectEqual(@as(u32, 0x00000000), state.board[3]);
+ try std.testing.expectEqual(@as(u32, 0x00000000), state.board[4]);
+ try std.testing.expectEqual(@as(u32, 0x00000000), state.board[5]);
+ try std.testing.expectEqual(@as(u32, 0x11111111), state.board[6]);
+ try std.testing.expectEqual(@as(u32, 0x42365324), state.board[7]);
+ try std.testing.expectEqual(piece.Color.white, state.turn);
+ try std.testing.expectEqual(@as(u4, 0b1111), state.castle_rights);
+ try std.testing.expectEqual(@as(u7, 0), state.en_passant);
+ try std.testing.expectEqual(@as(u8, 0), state.halfmove);
+ try std.testing.expectEqual(@as(u32, 1), state.fullmove);
+}
+
+test "parseFen parses capturable en passant position" {
+ const state = try parseFen("8/8/8/3Pp3/8/8/8/8 w - e6 0 1");
+
+ try std.testing.expectEqual(piece.Color.white, state.turn);
+ try std.testing.expectEqual(@as(u4, 0), state.castle_rights);
+ try std.testing.expectEqual(@as(u7, 108), state.en_passant);
+ try std.testing.expectEqual(piece.encode(.white, .pawn), state.getSquare(3, 4));
+ try std.testing.expectEqual(piece.encode(.black, .pawn), state.getSquare(4, 4));
+}
+
+test "parseFen stores zero for non-capturable en passant target" {
+ const state = try parseFen("r1bqkbnr/pppp1ppp/2n5/4p3/3P4/5N2/PPP2PPP/RNBQKB1R w KQkq e3 4 5");
+
+ try std.testing.expectEqual(piece.Color.white, state.turn);
+ try std.testing.expectEqual(@as(u4, 0b1111), state.castle_rights);
+ try std.testing.expectEqual(@as(u7, 0), state.en_passant);
+ try std.testing.expectEqual(@as(u8, 4), state.halfmove);
+ try std.testing.expectEqual(@as(u32, 5), state.fullmove);
+ try std.testing.expectEqual(piece.encode(.white, .pawn), state.getSquare(3, 3));
+ try std.testing.expectEqual(piece.encode(.black, .pawn), state.getSquare(4, 4));
+}
+
+test "parseFen rejects invalid field counts" {
+ try std.testing.expectError(
+ error.InvalidFenFieldCount,
+ parseFen("8/8/8/8/8/8/8/8 w - - 0"),
+ );
+
+ try std.testing.expectError(
+ error.InvalidFenFieldCount,
+ parseFen("8/8/8/8/8/8/8/8 w - - 0 1 extra"),
+ );
+}
+
+test "formatFen formats starting position" {
+ const expected = "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1";
+ const state = try parseFen(expected);
+
+ const actual = try formatFen(std.testing.allocator, state);
+ defer std.testing.allocator.free(actual);
+
+ try std.testing.expectEqualStrings(expected, actual);
+}
+
+test "formatFen formats capturable en passant target" {
+ const expected = "8/8/8/3Pp3/8/8/8/8 w - e6 0 1";
+ const state = try parseFen(expected);
+
+ const actual = try formatFen(std.testing.allocator, state);
+ defer std.testing.allocator.free(actual);
+
+ try std.testing.expectEqualStrings(expected, actual);
+}
+
+test "formatFen formats non-capturable en passant as dash" {
+ const input = "r1bqkbnr/pppp1ppp/2n5/4p3/3P4/5N2/PPP2PPP/RNBQKB1R w KQkq e3 4 5";
+ const expected = "r1bqkbnr/pppp1ppp/2n5/4p3/3P4/5N2/PPP2PPP/RNBQKB1R w KQkq - 4 5";
+ const state = try parseFen(input);
+
+ const actual = try formatFen(std.testing.allocator, state);
+ defer std.testing.allocator.free(actual);
+
+ try std.testing.expectEqualStrings(expected, actual);
+}
+
+test "formatFen formats black turn no castling and larger counters" {
+ var state = board.BoardState.empty();
+ state.turn = .black;
+ state.castle_rights = 0;
+ state.halfmove = 42;
+ state.fullmove = 300;
+ state.setSquare(4, 0, piece.encode(.white, .king));
+ state.setSquare(4, 7, piece.encode(.black, .king));
+ state.setSquare(0, 0, piece.encode(.white, .rook));
+ state.setSquare(7, 7, piece.encode(.black, .rook));
+
+ const actual = try formatFen(std.testing.allocator, state);
+ defer std.testing.allocator.free(actual);
+
+ try std.testing.expectEqualStrings("4k2r/8/8/8/8/8/8/R3K3 b - - 42 300", actual);
+}
diff --git a/src/chess/generated_magics.zig b/src/chess/generated_magics.zig
new file mode 100644
index 0000000..59fdbfb
--- /dev/null
+++ b/src/chess/generated_magics.zig
@@ -0,0 +1,74137 @@
+// Generated by tools/magic_numbers.zig. Do not edit by hand.
+const bitboard = @import("bitboard.zig");
+
+pub const Bitboard = bitboard.Bitboard;
+
+pub const MagicInfo = struct {
+ mask: Bitboard,
+ magic: Bitboard,
+ shift: u7,
+};
+
+pub const RookAttackTableSize = 4096;
+pub const BishopAttackTableSize = 512;
+pub const rook_magic_info: [64]MagicInfo = .{
+ .{ .mask = 0x101010101017e, .magic = 0x100130020408000, .shift = 52 },
+ .{ .mask = 0x202020202027c, .magic = 0x40100220024000, .shift = 53 },
+ .{ .mask = 0x404040404047a, .magic = 0x280100088200080, .shift = 53 },
+ .{ .mask = 0x8080808080876, .magic = 0xc80080090004480, .shift = 53 },
+ .{ .mask = 0x1010101010106e, .magic = 0x200080410200a00, .shift = 53 },
+ .{ .mask = 0x2020202020205e, .magic = 0x8900240018063100, .shift = 53 },
+ .{ .mask = 0x4040404040403e, .magic = 0x4100120004108100, .shift = 53 },
+ .{ .mask = 0x8080808080807e, .magic = 0x4200040362005181, .shift = 52 },
+ .{ .mask = 0x1010101017e00, .magic = 0xd5800040008220, .shift = 53 },
+ .{ .mask = 0x2020202027c00, .magic = 0x90400460100040, .shift = 54 },
+ .{ .mask = 0x4040404047a00, .magic = 0x2000801001200188, .shift = 54 },
+ .{ .mask = 0x8080808087600, .magic = 0x20800800300181, .shift = 54 },
+ .{ .mask = 0x10101010106e00, .magic = 0x1001005000800, .shift = 54 },
+ .{ .mask = 0x20202020205e00, .magic = 0x8000802a00a40080, .shift = 54 },
+ .{ .mask = 0x40404040403e00, .magic = 0x86400020150380c, .shift = 54 },
+ .{ .mask = 0x80808080807e00, .magic = 0x408801242800500, .shift = 53 },
+ .{ .mask = 0x10101017e0100, .magic = 0x20820021020042, .shift = 53 },
+ .{ .mask = 0x20202027c0200, .magic = 0x2081004000a100, .shift = 54 },
+ .{ .mask = 0x40404047a0400, .magic = 0x410020009100, .shift = 54 },
+ .{ .mask = 0x8080808760800, .magic = 0x15010050002008, .shift = 54 },
+ .{ .mask = 0x101010106e1000, .magic = 0x2008004040040200, .shift = 54 },
+ .{ .mask = 0x202020205e2000, .magic = 0x800080104409020, .shift = 54 },
+ .{ .mask = 0x404040403e4000, .magic = 0x204540078100146, .shift = 54 },
+ .{ .mask = 0x808080807e8000, .magic = 0x2a04a0000804104, .shift = 53 },
+ .{ .mask = 0x101017e010100, .magic = 0x8000218880004000, .shift = 53 },
+ .{ .mask = 0x202027c020200, .magic = 0xd208210100400480, .shift = 54 },
+ .{ .mask = 0x404047a040400, .magic = 0x80104110040a000, .shift = 54 },
+ .{ .mask = 0x8080876080800, .magic = 0x4001002100185004, .shift = 54 },
+ .{ .mask = 0x1010106e101000, .magic = 0x40849100280100, .shift = 54 },
+ .{ .mask = 0x2020205e202000, .magic = 0x400040080020080, .shift = 54 },
+ .{ .mask = 0x4040403e404000, .magic = 0x12004200940308, .shift = 54 },
+ .{ .mask = 0x8080807e808000, .magic = 0x448200025104, .shift = 53 },
+ .{ .mask = 0x1017e01010100, .magic = 0x8300c00220800080, .shift = 53 },
+ .{ .mask = 0x2027c02020200, .magic = 0x449008042002608, .shift = 54 },
+ .{ .mask = 0x4047a04040400, .magic = 0x8200a80801000, .shift = 54 },
+ .{ .mask = 0x8087608080800, .magic = 0x16020008320020c0, .shift = 54 },
+ .{ .mask = 0x10106e10101000, .magic = 0x10801c0080804800, .shift = 54 },
+ .{ .mask = 0x20205e20202000, .magic = 0x8088040080802200, .shift = 54 },
+ .{ .mask = 0x40403e40404000, .magic = 0x205100204009821, .shift = 54 },
+ .{ .mask = 0x80807e80808000, .magic = 0x100444020000a1, .shift = 53 },
+ .{ .mask = 0x17e0101010100, .magic = 0x80042000414000, .shift = 53 },
+ .{ .mask = 0x27c0202020200, .magic = 0x110072002404000, .shift = 54 },
+ .{ .mask = 0x47a0404040400, .magic = 0x14300020008080, .shift = 54 },
+ .{ .mask = 0x8760808080800, .magic = 0x270290010030020, .shift = 54 },
+ .{ .mask = 0x106e1010101000, .magic = 0x20a02100a0020, .shift = 54 },
+ .{ .mask = 0x205e2020202000, .magic = 0x2802008890220004, .shift = 54 },
+ .{ .mask = 0x403e4040404000, .magic = 0xc00082201440050, .shift = 54 },
+ .{ .mask = 0x807e8080808000, .magic = 0x240058044020001, .shift = 53 },
+ .{ .mask = 0x7e010101010100, .magic = 0x800388003024100, .shift = 53 },
+ .{ .mask = 0x7c020202020200, .magic = 0x2101074002882100, .shift = 54 },
+ .{ .mask = 0x7a040404040400, .magic = 0x40200041001100, .shift = 54 },
+ .{ .mask = 0x76080808080800, .magic = 0x404411202082200, .shift = 54 },
+ .{ .mask = 0x6e101010101000, .magic = 0x400802400080080, .shift = 54 },
+ .{ .mask = 0x5e202020202000, .magic = 0x2046000400068080, .shift = 54 },
+ .{ .mask = 0x3e404040404000, .magic = 0x30800200010080, .shift = 54 },
+ .{ .mask = 0x7e808080808000, .magic = 0x2030c0100418200, .shift = 53 },
+ .{ .mask = 0x7e01010101010100, .magic = 0x4004800a11002141, .shift = 52 },
+ .{ .mask = 0x7c02020202020200, .magic = 0x4000802011400105, .shift = 53 },
+ .{ .mask = 0x7a04040404040400, .magic = 0x404018a000104301, .shift = 53 },
+ .{ .mask = 0x7608080808080800, .magic = 0x190020900005, .shift = 53 },
+ .{ .mask = 0x6e10101010101000, .magic = 0x4142000c08211022, .shift = 53 },
+ .{ .mask = 0x5e20202020202000, .magic = 0x112005028040106, .shift = 53 },
+ .{ .mask = 0x3e40404040404000, .magic = 0x4280060281100824, .shift = 53 },
+ .{ .mask = 0x7e80808080808000, .magic = 0x80008100204406, .shift = 52 },
+};
+
+pub const bishop_magic_info: [64]MagicInfo = .{
+ .{ .mask = 0x40201008040200, .magic = 0x2843102202040020, .shift = 58 },
+ .{ .mask = 0x402010080400, .magic = 0x9020802028a0804, .shift = 59 },
+ .{ .mask = 0x4020100a00, .magic = 0x18c424008a020000, .shift = 59 },
+ .{ .mask = 0x40221400, .magic = 0x24150200000000, .shift = 59 },
+ .{ .mask = 0x2442800, .magic = 0x1405040820d081, .shift = 59 },
+ .{ .mask = 0x204085000, .magic = 0x8480210120400, .shift = 59 },
+ .{ .mask = 0x20408102000, .magic = 0x4310441008090104, .shift = 59 },
+ .{ .mask = 0x2040810204000, .magic = 0x803410040400, .shift = 58 },
+ .{ .mask = 0x20100804020000, .magic = 0x8440400408920040, .shift = 59 },
+ .{ .mask = 0x40201008040000, .magic = 0xc020024a024100, .shift = 59 },
+ .{ .mask = 0x4020100a0000, .magic = 0x21090802208088, .shift = 59 },
+ .{ .mask = 0x4022140000, .magic = 0x2280480a002000c4, .shift = 59 },
+ .{ .mask = 0x244280000, .magic = 0x4110840421408081, .shift = 59 },
+ .{ .mask = 0x20408500000, .magic = 0x220247200081, .shift = 59 },
+ .{ .mask = 0x2040810200000, .magic = 0x300100841460040c, .shift = 59 },
+ .{ .mask = 0x4081020400000, .magic = 0x206320088880860, .shift = 59 },
+ .{ .mask = 0x10080402000200, .magic = 0x440100802c85a00, .shift = 59 },
+ .{ .mask = 0x20100804000400, .magic = 0x1b020004244c0402, .shift = 59 },
+ .{ .mask = 0x4020100a000a00, .magic = 0x1800040040b200, .shift = 57 },
+ .{ .mask = 0x402214001400, .magic = 0x1114000804901002, .shift = 57 },
+ .{ .mask = 0x24428002800, .magic = 0x2001008090400020, .shift = 57 },
+ .{ .mask = 0x2040850005000, .magic = 0xa000420900800, .shift = 57 },
+ .{ .mask = 0x4081020002000, .magic = 0x2010080846082, .shift = 59 },
+ .{ .mask = 0x8102040004000, .magic = 0x180080510380d001, .shift = 59 },
+ .{ .mask = 0x8040200020400, .magic = 0x182440200d080802, .shift = 59 },
+ .{ .mask = 0x10080400040800, .magic = 0x4100004252820, .shift = 59 },
+ .{ .mask = 0x20100a000a1000, .magic = 0x4030006020400, .shift = 57 },
+ .{ .mask = 0x40221400142200, .magic = 0x9004204004200, .shift = 55 },
+ .{ .mask = 0x2442800284400, .magic = 0x1004082134002000, .shift = 55 },
+ .{ .mask = 0x4085000500800, .magic = 0x808002011101802, .shift = 57 },
+ .{ .mask = 0x8102000201000, .magic = 0x4003410000c80801, .shift = 59 },
+ .{ .mask = 0x10204000402000, .magic = 0x2040c4210220210, .shift = 59 },
+ .{ .mask = 0x4020002040800, .magic = 0x800208a226042000, .shift = 59 },
+ .{ .mask = 0x8040004081000, .magic = 0x500a088210204600, .shift = 59 },
+ .{ .mask = 0x100a000a102000, .magic = 0x2080200010200, .shift = 57 },
+ .{ .mask = 0x22140014224000, .magic = 0x280040100100b00, .shift = 55 },
+ .{ .mask = 0x44280028440200, .magic = 0x40028020020202, .shift = 55 },
+ .{ .mask = 0x8500050080400, .magic = 0x10023020aa0080, .shift = 57 },
+ .{ .mask = 0x10200020100800, .magic = 0x308008084040202, .shift = 59 },
+ .{ .mask = 0x20400040201000, .magic = 0x840c040048289140, .shift = 59 },
+ .{ .mask = 0x2000204081000, .magic = 0x1134823010004108, .shift = 59 },
+ .{ .mask = 0x4000408102000, .magic = 0x21444041422600f, .shift = 59 },
+ .{ .mask = 0xa000a10204000, .magic = 0x4002021048000c10, .shift = 57 },
+ .{ .mask = 0x14001422400000, .magic = 0x4002084202244800, .shift = 57 },
+ .{ .mask = 0x28002844020000, .magic = 0x802000a0800402, .shift = 57 },
+ .{ .mask = 0x50005008040200, .magic = 0x40c0032044820102, .shift = 57 },
+ .{ .mask = 0x20002010080400, .magic = 0x10409084902c200, .shift = 59 },
+ .{ .mask = 0x40004020100800, .magic = 0x40121800c1100589, .shift = 59 },
+ .{ .mask = 0x20408102000, .magic = 0x20982c10040080, .shift = 59 },
+ .{ .mask = 0x40810204000, .magic = 0x308210110110000, .shift = 59 },
+ .{ .mask = 0xa1020400000, .magic = 0x201020a11044020, .shift = 59 },
+ .{ .mask = 0x142240000000, .magic = 0x8014c2022200, .shift = 59 },
+ .{ .mask = 0x284402000000, .magic = 0x818c000803040004, .shift = 59 },
+ .{ .mask = 0x500804020000, .magic = 0x300040910010482, .shift = 59 },
+ .{ .mask = 0x201008040200, .magic = 0x6290034208020001, .shift = 59 },
+ .{ .mask = 0x402010080400, .magic = 0x1204482b810000, .shift = 59 },
+ .{ .mask = 0x2040810204000, .magic = 0x803a002209042123, .shift = 58 },
+ .{ .mask = 0x4081020400000, .magic = 0x8000020084442600, .shift = 59 },
+ .{ .mask = 0xa102040000000, .magic = 0x8095a0102c802, .shift = 59 },
+ .{ .mask = 0x14224000000000, .magic = 0x5000000028c2401, .shift = 59 },
+ .{ .mask = 0x28440200000000, .magic = 0x2282d30832020210, .shift = 59 },
+ .{ .mask = 0x50080402000000, .magic = 0x210004018614102, .shift = 59 },
+ .{ .mask = 0x20100804020000, .magic = 0x323001090408, .shift = 59 },
+ .{ .mask = 0x40201008040200, .magic = 0x50082000a0810105, .shift = 58 },
+};
+
+pub const rook_attacks: [64][4096]Bitboard = .{
+ .{
+ 0x1010101010101fe, 0x1fe, 0x10101fe, 0x1fe,
+ 0x10101013e, 0x13e, 0x101013e, 0x13e,
+ 0x1010101017e, 0x17e, 0x101017e, 0x17e,
+ 0x10101013e, 0x13e, 0x101013e, 0x13e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x1010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x101fe, 0x1fe, 0x101fe, 0x1fe,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x1017e, 0x17e, 0x1017e, 0x17e,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101013e, 0x13e, 0x101013e, 0x13e,
+ 0x1010101fe, 0x1fe, 0x10101fe, 0x1fe,
+ 0x1010101013e, 0x13e, 0x101013e, 0x13e,
+ 0x10101017e, 0x17e, 0x101017e, 0x17e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x1010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x101fe, 0x1fe, 0x101fe, 0x1fe,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x1017e, 0x17e, 0x1017e, 0x17e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101017e, 0x17e, 0x101017e, 0x17e,
+ 0x10101013e, 0x13e, 0x101013e, 0x13e,
+ 0x101010101fe, 0x1fe, 0x10101fe, 0x1fe,
+ 0x10101013e, 0x13e, 0x101013e, 0x13e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x1010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1017e, 0x17e, 0x1017e, 0x17e,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x101fe, 0x1fe, 0x101fe, 0x1fe,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101013e, 0x13e, 0x101013e, 0x13e,
+ 0x10101017e, 0x17e, 0x101017e, 0x17e,
+ 0x1010101013e, 0x13e, 0x101013e, 0x13e,
+ 0x1010101fe, 0x1fe, 0x10101fe, 0x1fe,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x1010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x1017e, 0x17e, 0x1017e, 0x17e,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x101fe, 0x1fe, 0x101fe, 0x1fe,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x101010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x101010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10101010101fe, 0x1fe, 0x10101fe, 0x1fe,
+ 0x10101013e, 0x13e, 0x101013e, 0x13e,
+ 0x1010101017e, 0x17e, 0x101017e, 0x17e,
+ 0x10101013e, 0x13e, 0x101013e, 0x13e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x101010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x1010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x101fe, 0x1fe, 0x101fe, 0x1fe,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x1017e, 0x17e, 0x1017e, 0x17e,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x1010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x101010101013e, 0x13e, 0x101013e, 0x13e,
+ 0x1010101fe, 0x1fe, 0x10101fe, 0x1fe,
+ 0x1010101013e, 0x13e, 0x101013e, 0x13e,
+ 0x10101017e, 0x17e, 0x101017e, 0x17e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1011e, 0x11e, 0x1011e, 0x11e,
+ 0x1010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x101010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x1010101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10101011e, 0x11e, 0x101011e, 0x11e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x101fe, 0x1fe, 0x101fe, 0x1fe,
+ 0x1013e, 0x13e, 0x1013e, 0x13e,
+ 0x1017e, 0x17e, 0x1017e, 0x17e,
+ 0x1010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x10106, 0x106, 0x10106, 0x106,
+ 0x101010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x1010101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10101010e, 0x10e, 0x101010e, 0x10e,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x10101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010e, 0x10e, 0x1010e, 0x10e,
+ 0x1010101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10101010106, 0x106, 0x1010106, 0x106,
+ 0x101010106, 0x106, 0x1010106, 0x106,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x10102, 0x102, 0x10102, 0x102,
+ 0x1010101010102, 0x102, 0x1010102, 0x102,
+ 0x101010102, 0x102, 0x1010102, 0x102,
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+ 0x4040404040b, 0x404040b, 0x40b, 0x40b,
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+ 0x102e, 0x1010102e, 0x102e, 0x10102e,
+ 0x10101010ee, 0x102e, 0x10106e, 0x102e,
+ 0x10ee, 0x10101010ee, 0x106e, 0x10106e,
+ 0x1010102e, 0x10ee, 0x10102e, 0x106e,
+ 0x102e, 0x1010102e, 0x102e, 0x10102e,
+ 0x10101010101010ec, 0x102e, 0x10106c, 0x102e,
+ 0x10ec, 0x1010101010ec, 0x106c, 0x10106c,
+ 0x1010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x10101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x10101010ec, 0x106c, 0x10106c,
+ 0x1010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x10101010101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x1010101010ec, 0x106c, 0x10106c,
+ 0x1010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x10101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x10101010ec, 0x106c, 0x10106c,
+ 0x1010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x10101010101010e8, 0x102c, 0x101068, 0x102c,
+ 0x10e8, 0x1010101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x10101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x1010101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x10101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x1010101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x10101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x1010101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x10101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101010106f, 0x1028, 0x1010ef, 0x1028,
+ 0x106f, 0x10101010106f, 0x10ef, 0x1010ef,
+ 0x1010102f, 0x106f, 0x10102f, 0x10ef,
+ 0x102f, 0x1010102f, 0x102f, 0x10102f,
+ 0x101010106f, 0x102f, 0x1010ef, 0x102f,
+ 0x106f, 0x101010106f, 0x10ef, 0x1010ef,
+ 0x1010102f, 0x106f, 0x10102f, 0x10ef,
+ 0x102f, 0x1010102f, 0x102f, 0x10102f,
+ 0x1010101010106e, 0x102f, 0x1010ee, 0x102f,
+ 0x106e, 0x10101010106e, 0x10ee, 0x1010ee,
+ 0x1010102e, 0x106e, 0x10102e, 0x10ee,
+ 0x102e, 0x1010102e, 0x102e, 0x10102e,
+ 0x101010106e, 0x102e, 0x1010ee, 0x102e,
+ 0x106e, 0x101010106e, 0x10ee, 0x1010ee,
+ 0x1010102e, 0x106e, 0x10102e, 0x10ee,
+ 0x102e, 0x1010102e, 0x102e, 0x10102e,
+ 0x1010101010106c, 0x102e, 0x1010ec, 0x102e,
+ 0x106c, 0x10101010106c, 0x10ec, 0x1010ec,
+ 0x1010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x101010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x101010106c, 0x10ec, 0x1010ec,
+ 0x1010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x1010101010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x10101010106c, 0x10ec, 0x1010ec,
+ 0x1010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x101010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x101010106c, 0x10ec, 0x1010ec,
+ 0x1010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x10101010101068, 0x102c, 0x1010e8, 0x102c,
+ 0x1068, 0x101010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x1010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x101010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x1010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x101010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x1010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x101010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x1010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x101010101010102f, 0x1028, 0x10102f, 0x1028,
+ 0x102f, 0x10101010102f, 0x102f, 0x10102f,
+ 0x101010ef, 0x102f, 0x10106f, 0x102f,
+ 0x10ef, 0x101010ef, 0x106f, 0x10106f,
+ 0x101010102f, 0x10ef, 0x10102f, 0x106f,
+ 0x102f, 0x101010102f, 0x102f, 0x10102f,
+ 0x101010ef, 0x102f, 0x10106f, 0x102f,
+ 0x10ef, 0x101010ef, 0x106f, 0x10106f,
+ 0x101010101010102e, 0x10ef, 0x10102e, 0x106f,
+ 0x102e, 0x10101010102e, 0x102e, 0x10102e,
+ 0x101010ee, 0x102e, 0x10106e, 0x102e,
+ 0x10ee, 0x101010ee, 0x106e, 0x10106e,
+ 0x101010102e, 0x10ee, 0x10102e, 0x106e,
+ 0x102e, 0x101010102e, 0x102e, 0x10102e,
+ 0x101010ee, 0x102e, 0x10106e, 0x102e,
+ 0x10ee, 0x101010ee, 0x106e, 0x10106e,
+ 0x101010101010102c, 0x10ee, 0x10102c, 0x106e,
+ 0x102c, 0x10101010102c, 0x102c, 0x10102c,
+ 0x101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x101010ec, 0x106c, 0x10106c,
+ 0x101010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x101010102c, 0x102c, 0x10102c,
+ 0x101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x101010ec, 0x106c, 0x10106c,
+ 0x101010101010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x10101010102c, 0x102c, 0x10102c,
+ 0x101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x101010ec, 0x106c, 0x10106c,
+ 0x101010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x101010102c, 0x102c, 0x10102c,
+ 0x101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x101010ec, 0x106c, 0x10106c,
+ 0x1010101010101028, 0x10ec, 0x101028, 0x106c,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101010102f, 0x10e8, 0x10102f, 0x1068,
+ 0x102f, 0x10101010102f, 0x102f, 0x10102f,
+ 0x1010106f, 0x102f, 0x1010ef, 0x102f,
+ 0x106f, 0x1010106f, 0x10ef, 0x1010ef,
+ 0x101010102f, 0x106f, 0x10102f, 0x10ef,
+ 0x102f, 0x101010102f, 0x102f, 0x10102f,
+ 0x1010106f, 0x102f, 0x1010ef, 0x102f,
+ 0x106f, 0x1010106f, 0x10ef, 0x1010ef,
+ 0x1010101010102e, 0x106f, 0x10102e, 0x10ef,
+ 0x102e, 0x10101010102e, 0x102e, 0x10102e,
+ 0x1010106e, 0x102e, 0x1010ee, 0x102e,
+ 0x106e, 0x1010106e, 0x10ee, 0x1010ee,
+ 0x101010102e, 0x106e, 0x10102e, 0x10ee,
+ 0x102e, 0x101010102e, 0x102e, 0x10102e,
+ 0x1010106e, 0x102e, 0x1010ee, 0x102e,
+ 0x106e, 0x1010106e, 0x10ee, 0x1010ee,
+ 0x1010101010102c, 0x106e, 0x10102c, 0x10ee,
+ 0x102c, 0x10101010102c, 0x102c, 0x10102c,
+ 0x1010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x1010106c, 0x10ec, 0x1010ec,
+ 0x101010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x101010102c, 0x102c, 0x10102c,
+ 0x1010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x1010106c, 0x10ec, 0x1010ec,
+ 0x1010101010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x10101010102c, 0x102c, 0x10102c,
+ 0x1010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x1010106c, 0x10ec, 0x1010ec,
+ 0x101010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x101010102c, 0x102c, 0x10102c,
+ 0x1010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x1010106c, 0x10ec, 0x1010ec,
+ 0x10101010101028, 0x106c, 0x101028, 0x10ec,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x10101010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x10101010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x10101010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x101010101010106f, 0x1068, 0x1010ef, 0x10e8,
+ 0x106f, 0x10101010106f, 0x10ef, 0x1010ef,
+ 0x1010102f, 0x106f, 0x10102f, 0x10ef,
+ 0x102f, 0x1010102f, 0x102f, 0x10102f,
+ 0x101010106f, 0x102f, 0x1010ef, 0x102f,
+ 0x106f, 0x101010106f, 0x10ef, 0x1010ef,
+ 0x1010102f, 0x106f, 0x10102f, 0x10ef,
+ 0x102f, 0x1010102f, 0x102f, 0x10102f,
+ 0x101010101010106e, 0x102f, 0x1010ee, 0x102f,
+ 0x106e, 0x10101010106e, 0x10ee, 0x1010ee,
+ 0x1010102e, 0x106e, 0x10102e, 0x10ee,
+ 0x102e, 0x1010102e, 0x102e, 0x10102e,
+ 0x101010106e, 0x102e, 0x1010ee, 0x102e,
+ 0x106e, 0x101010106e, 0x10ee, 0x1010ee,
+ 0x1010102e, 0x106e, 0x10102e, 0x10ee,
+ 0x102e, 0x1010102e, 0x102e, 0x10102e,
+ 0x101010101010106c, 0x102e, 0x1010ec, 0x102e,
+ 0x106c, 0x10101010106c, 0x10ec, 0x1010ec,
+ 0x1010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x101010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x101010106c, 0x10ec, 0x1010ec,
+ 0x1010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x101010101010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x10101010106c, 0x10ec, 0x1010ec,
+ 0x1010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x101010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x101010106c, 0x10ec, 0x1010ec,
+ 0x1010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x1010101010101068, 0x102c, 0x1010e8, 0x102c,
+ 0x1068, 0x101010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x1010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x101010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x1010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x101010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x1010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x101010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x1010101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x1010101068, 0x10e8, 0x1010e8,
+ 0x10101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x101010101010ef, 0x1028, 0x10106f, 0x1028,
+ 0x10ef, 0x1010101010ef, 0x106f, 0x10106f,
+ 0x1010102f, 0x10ef, 0x10102f, 0x106f,
+ 0x102f, 0x1010102f, 0x102f, 0x10102f,
+ 0x10101010ef, 0x102f, 0x10106f, 0x102f,
+ 0x10ef, 0x10101010ef, 0x106f, 0x10106f,
+ 0x1010102f, 0x10ef, 0x10102f, 0x106f,
+ 0x102f, 0x1010102f, 0x102f, 0x10102f,
+ 0x101010101010ee, 0x102f, 0x10106e, 0x102f,
+ 0x10ee, 0x1010101010ee, 0x106e, 0x10106e,
+ 0x1010102e, 0x10ee, 0x10102e, 0x106e,
+ 0x102e, 0x1010102e, 0x102e, 0x10102e,
+ 0x10101010ee, 0x102e, 0x10106e, 0x102e,
+ 0x10ee, 0x10101010ee, 0x106e, 0x10106e,
+ 0x1010102e, 0x10ee, 0x10102e, 0x106e,
+ 0x102e, 0x1010102e, 0x102e, 0x10102e,
+ 0x101010101010ec, 0x102e, 0x10106c, 0x102e,
+ 0x10ec, 0x1010101010ec, 0x106c, 0x10106c,
+ 0x1010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x10101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x10101010ec, 0x106c, 0x10106c,
+ 0x1010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x101010101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x1010101010ec, 0x106c, 0x10106c,
+ 0x1010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x10101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x10101010ec, 0x106c, 0x10106c,
+ 0x1010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x1010102c, 0x102c, 0x10102c,
+ 0x101010101010e8, 0x102c, 0x101068, 0x102c,
+ 0x10e8, 0x1010101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x10101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x101010101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x1010101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x10101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x101010101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x1010101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x10101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x101010101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x1010101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x10101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x10101010e8, 0x1068, 0x101068,
+ 0x10101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x10101028, 0x1028, 0x101028,
+ 0x101010101010102f, 0x1028, 0x10102f, 0x1028,
+ 0x102f, 0x10101010102f, 0x102f, 0x10102f,
+ 0x1010106f, 0x102f, 0x1010ef, 0x102f,
+ 0x106f, 0x1010106f, 0x10ef, 0x1010ef,
+ 0x101010102f, 0x106f, 0x10102f, 0x10ef,
+ 0x102f, 0x101010102f, 0x102f, 0x10102f,
+ 0x1010106f, 0x102f, 0x1010ef, 0x102f,
+ 0x106f, 0x1010106f, 0x10ef, 0x1010ef,
+ 0x101010101010102e, 0x106f, 0x10102e, 0x10ef,
+ 0x102e, 0x10101010102e, 0x102e, 0x10102e,
+ 0x1010106e, 0x102e, 0x1010ee, 0x102e,
+ 0x106e, 0x1010106e, 0x10ee, 0x1010ee,
+ 0x101010102e, 0x106e, 0x10102e, 0x10ee,
+ 0x102e, 0x101010102e, 0x102e, 0x10102e,
+ 0x1010106e, 0x102e, 0x1010ee, 0x102e,
+ 0x106e, 0x1010106e, 0x10ee, 0x1010ee,
+ 0x101010101010102c, 0x106e, 0x10102c, 0x10ee,
+ 0x102c, 0x10101010102c, 0x102c, 0x10102c,
+ 0x1010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x1010106c, 0x10ec, 0x1010ec,
+ 0x101010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x101010102c, 0x102c, 0x10102c,
+ 0x1010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x1010106c, 0x10ec, 0x1010ec,
+ 0x101010101010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x10101010102c, 0x102c, 0x10102c,
+ 0x1010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x1010106c, 0x10ec, 0x1010ec,
+ 0x101010102c, 0x106c, 0x10102c, 0x10ec,
+ 0x102c, 0x101010102c, 0x102c, 0x10102c,
+ 0x1010106c, 0x102c, 0x1010ec, 0x102c,
+ 0x106c, 0x1010106c, 0x10ec, 0x1010ec,
+ 0x1010101010101028, 0x106c, 0x101028, 0x10ec,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101028, 0x1068, 0x101028, 0x10e8,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x10101068, 0x1028, 0x1010e8, 0x1028,
+ 0x1068, 0x10101068, 0x10e8, 0x1010e8,
+ 0x1010101010102f, 0x1068, 0x10102f, 0x10e8,
+ 0x102f, 0x10101010102f, 0x102f, 0x10102f,
+ 0x101010ef, 0x102f, 0x10106f, 0x102f,
+ 0x10ef, 0x101010ef, 0x106f, 0x10106f,
+ 0x101010102f, 0x10ef, 0x10102f, 0x106f,
+ 0x102f, 0x101010102f, 0x102f, 0x10102f,
+ 0x101010ef, 0x102f, 0x10106f, 0x102f,
+ 0x10ef, 0x101010ef, 0x106f, 0x10106f,
+ 0x1010101010102e, 0x10ef, 0x10102e, 0x106f,
+ 0x102e, 0x10101010102e, 0x102e, 0x10102e,
+ 0x101010ee, 0x102e, 0x10106e, 0x102e,
+ 0x10ee, 0x101010ee, 0x106e, 0x10106e,
+ 0x101010102e, 0x10ee, 0x10102e, 0x106e,
+ 0x102e, 0x101010102e, 0x102e, 0x10102e,
+ 0x101010ee, 0x102e, 0x10106e, 0x102e,
+ 0x10ee, 0x101010ee, 0x106e, 0x10106e,
+ 0x1010101010102c, 0x10ee, 0x10102c, 0x106e,
+ 0x102c, 0x10101010102c, 0x102c, 0x10102c,
+ 0x101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x101010ec, 0x106c, 0x10106c,
+ 0x101010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x101010102c, 0x102c, 0x10102c,
+ 0x101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x101010ec, 0x106c, 0x10106c,
+ 0x1010101010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x10101010102c, 0x102c, 0x10102c,
+ 0x101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x101010ec, 0x106c, 0x10106c,
+ 0x101010102c, 0x10ec, 0x10102c, 0x106c,
+ 0x102c, 0x101010102c, 0x102c, 0x10102c,
+ 0x101010ec, 0x102c, 0x10106c, 0x102c,
+ 0x10ec, 0x101010ec, 0x106c, 0x10106c,
+ 0x10101010101028, 0x10ec, 0x101028, 0x106c,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x10101010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x10101010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x10101010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x101010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x1010101028, 0x10e8, 0x101028, 0x1068,
+ 0x1028, 0x1010101028, 0x1028, 0x101028,
+ 0x101010e8, 0x1028, 0x101068, 0x1028,
+ 0x10e8, 0x101010e8, 0x1068, 0x101068,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
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+ 0x80808060, 0x8040, 0x80808060, 0x808040,
+ 0x8080807c, 0x808040, 0x8080807c, 0x8040,
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+ 0x80808060, 0x808070, 0x80808060, 0x808040,
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+ 0x8070, 0x808040, 0x8070, 0x808060,
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+ 0x8060, 0x8060, 0x8060, 0x808040,
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+ 0x808080808078, 0x807e, 0x8080808078, 0x8040,
+ 0x80808040, 0x8040, 0x80808040, 0x808040,
+ 0x80808070, 0x808040, 0x80808070, 0x8040,
+ 0x8040, 0x8040, 0x8040, 0x808070,
+ 0x80808060, 0x808070, 0x80808060, 0x808040,
+ 0x8070, 0x808040, 0x8070, 0x808060,
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+ 0x808080808060, 0x8060, 0x8080808060, 0x8078,
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+ 0x808080808040, 0x8040, 0x8080808040, 0x8070,
+ 0x8080807c, 0x8070, 0x8080807c, 0x808060,
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+ 0x8060, 0x8060, 0x8060, 0x808040,
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+ 0x8060, 0x808040, 0x8060, 0x808040,
+ 0x8040, 0x808040, 0x8040, 0x80807c,
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+ 0x807c, 0x808040, 0x807c, 0x8060,
+ 0x8040, 0x8060, 0x8040, 0x808040,
+ },
+ .{
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+ 0x101010101013e01, 0x10601, 0x1013e01, 0x10601,
+ 0x10101013e01, 0x10601, 0x1013e01, 0x10601,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x13e01, 0x1010601, 0x13e01,
+ 0x10101010601, 0x13e01, 0x1010601, 0x13e01,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
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+ 0x10601, 0x101011e01, 0x10601, 0x1011e01,
+ 0x10601, 0x101011e01, 0x10601, 0x1011e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x17e01, 0x101010601, 0x17e01, 0x1010601,
+ 0x17e01, 0x101010601, 0x17e01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101017e01, 0x10601, 0x1017e01,
+ 0x10601, 0x101017e01, 0x10601, 0x1017e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x11e01, 0x101010601, 0x11e01, 0x1010601,
+ 0x11e01, 0x101010601, 0x11e01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101011e01, 0x10601, 0x1011e01,
+ 0x10601, 0x101011e01, 0x10601, 0x1011e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x10101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x13e01, 0x1010101010601, 0x13e01, 0x1010601,
+ 0x13e01, 0x10101010601, 0x13e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101013e01, 0x10601, 0x1013e01,
+ 0x10601, 0x10101013e01, 0x10601, 0x1013e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x1010101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x10101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x10101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x11e01, 0x1010101010601, 0x11e01, 0x1010601,
+ 0x11e01, 0x10101010601, 0x11e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101011e01, 0x10601, 0x1011e01,
+ 0x10601, 0x10101011e01, 0x10601, 0x1011e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x1010101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x10101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x10101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10101fe01, 0x1010101010601, 0x101fe01, 0x1010601,
+ 0x10101fe01, 0x10101010601, 0x101fe01, 0x1010601,
+ 0x101010201, 0x1010101010201, 0x1010201, 0x1010201,
+ 0x101010201, 0x10101010201, 0x1010201, 0x1010201,
+ 0x101010601, 0x1fe01, 0x1010601, 0x1fe01,
+ 0x101010601, 0x1fe01, 0x1010601, 0x1fe01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101013e01, 0x10601, 0x1013e01, 0x10601,
+ 0x101013e01, 0x10601, 0x1013e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x13e01, 0x1010601, 0x13e01,
+ 0x101010601, 0x13e01, 0x1010601, 0x13e01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x10101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x10101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x10101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x10101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x10101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101017e01, 0x10601, 0x1017e01, 0x10601,
+ 0x10101017e01, 0x10601, 0x1017e01, 0x10601,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x17e01, 0x1010601, 0x17e01,
+ 0x10101010601, 0x17e01, 0x1010601, 0x17e01,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x10101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x10101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x10101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x10101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x10201, 0x10201, 0x10201, 0x10201,
+ 0x10201, 0x10201, 0x10201, 0x10201,
+ 0x10e01, 0x10601, 0x10e01, 0x10601,
+ 0x10e01, 0x10601, 0x10e01, 0x10601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x13e01, 0x101010601, 0x13e01, 0x1010601,
+ 0x13e01, 0x101010601, 0x13e01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101013e01, 0x10601, 0x1013e01,
+ 0x10601, 0x101013e01, 0x10601, 0x1013e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x11e01, 0x101010601, 0x11e01, 0x1010601,
+ 0x11e01, 0x101010601, 0x11e01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101011e01, 0x10601, 0x1011e01,
+ 0x10601, 0x101011e01, 0x10601, 0x1011e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x1fe01, 0x101010601, 0x1fe01, 0x1010601,
+ 0x1fe01, 0x101010601, 0x1fe01, 0x1010601,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10201, 0x101010201, 0x10201, 0x1010201,
+ 0x10601, 0x101010101fe01, 0x10601, 0x101fe01,
+ 0x10601, 0x1010101fe01, 0x10601, 0x101fe01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x1010101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x10101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x10101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x11e01, 0x1010101010601, 0x11e01, 0x1010601,
+ 0x11e01, 0x10101010601, 0x11e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101011e01, 0x10601, 0x1011e01,
+ 0x10601, 0x10101011e01, 0x10601, 0x1011e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x1010101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x10101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101010e01, 0x10601, 0x1010e01,
+ 0x10601, 0x10101010e01, 0x10601, 0x1010e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x13e01, 0x1010101010601, 0x13e01, 0x1010601,
+ 0x13e01, 0x10101010601, 0x13e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10601, 0x1010101013e01, 0x10601, 0x1013e01,
+ 0x10601, 0x10101013e01, 0x10601, 0x1013e01,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x10e01, 0x1010101010601, 0x10e01, 0x1010601,
+ 0x10e01, 0x10101010601, 0x10e01, 0x1010601,
+ 0x10201, 0x1010101010201, 0x10201, 0x1010201,
+ 0x10201, 0x10101010201, 0x10201, 0x1010201,
+ 0x101010601, 0x1010101010e01, 0x1010601, 0x1010e01,
+ 0x101010601, 0x10101010e01, 0x1010601, 0x1010e01,
+ 0x101010201, 0x1010101010201, 0x1010201, 0x1010201,
+ 0x101010201, 0x10101010201, 0x1010201, 0x1010201,
+ 0x101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101017e01, 0x10601, 0x1017e01, 0x10601,
+ 0x101017e01, 0x10601, 0x1017e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x17e01, 0x1010601, 0x17e01,
+ 0x101010601, 0x17e01, 0x1010601, 0x17e01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x101011e01, 0x10601, 0x1011e01, 0x10601,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x101010601, 0x11e01, 0x1010601, 0x11e01,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x10101010e01, 0x10601, 0x1010e01, 0x10601,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x10101010601, 0x10e01, 0x1010601, 0x10e01,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101013e01, 0x10601, 0x1013e01, 0x10601,
+ 0x10101013e01, 0x10601, 0x1013e01, 0x10601,
+ 0x101010101010201, 0x10201, 0x1010201, 0x10201,
+ 0x10101010201, 0x10201, 0x1010201, 0x10201,
+ 0x101010101010601, 0x13e01, 0x1010601, 0x13e01,
+ 0x10101010601, 0x13e01, 0x1010601, 0x13e01,
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+ 0x10ef10, 0x10ef10, 0x10ef10, 0x10ef10,
+ 0x101010ee10, 0x1010ee10, 0x101010ee10, 0x1010ee10,
+ 0x10ee10, 0x10ee10, 0x10ee10, 0x10ee10,
+ 0x101010ec10, 0x1010ec10, 0x101010ec10, 0x1010ec10,
+ 0x10ec10, 0x10ec10, 0x10ec10, 0x10ec10,
+ 0x101010ec10, 0x1010ec10, 0x101010ec10, 0x1010ec10,
+ 0x10ec10, 0x10ec10, 0x10ec10, 0x10ec10,
+ 0x101010e810, 0x1010e810, 0x101010e810, 0x1010e810,
+ 0x10e810, 0x10e810, 0x10e810, 0x10e810,
+ 0x101010e810, 0x1010e810, 0x101010e810, 0x1010e810,
+ 0x10e810, 0x10e810, 0x10e810, 0x10e810,
+ 0x101010e810, 0x1010e810, 0x101010e810, 0x1010e810,
+ 0x10e810, 0x10e810, 0x10e810, 0x10e810,
+ 0x101010e810, 0x1010e810, 0x101010e810, 0x1010e810,
+ 0x10e810, 0x10e810, 0x10e810, 0x10e810,
+ 0x1010101010102f10, 0x10102f10, 0x101010102f10, 0x10102f10,
+ 0x102f10, 0x102f10, 0x102f10, 0x102f10,
+ 0x1010101010102e10, 0x10102e10, 0x101010102e10, 0x10102e10,
+ 0x102e10, 0x102e10, 0x102e10, 0x102e10,
+ 0x1010101010102c10, 0x10102c10, 0x101010102c10, 0x10102c10,
+ 0x102c10, 0x102c10, 0x102c10, 0x102c10,
+ 0x1010101010102c10, 0x10102c10, 0x101010102c10, 0x10102c10,
+ 0x102c10, 0x102c10, 0x102c10, 0x102c10,
+ 0x1010101010102810, 0x10102810, 0x101010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010101010102810, 0x10102810, 0x101010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010101010102810, 0x10102810, 0x101010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010101010102810, 0x10102810, 0x101010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010102f10, 0x10102f10, 0x1010102f10, 0x10102f10,
+ 0x102f10, 0x102f10, 0x102f10, 0x102f10,
+ 0x1010102e10, 0x10102e10, 0x1010102e10, 0x10102e10,
+ 0x102e10, 0x102e10, 0x102e10, 0x102e10,
+ 0x1010102c10, 0x10102c10, 0x1010102c10, 0x10102c10,
+ 0x102c10, 0x102c10, 0x102c10, 0x102c10,
+ 0x1010102c10, 0x10102c10, 0x1010102c10, 0x10102c10,
+ 0x102c10, 0x102c10, 0x102c10, 0x102c10,
+ 0x1010102810, 0x10102810, 0x1010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010102810, 0x10102810, 0x1010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010102810, 0x10102810, 0x1010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010102810, 0x10102810, 0x1010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010101010ef10, 0x1010ef10, 0x10101010ef10, 0x1010ef10,
+ 0x10ef10, 0x10ef10, 0x10ef10, 0x10ef10,
+ 0x1010101010ee10, 0x1010ee10, 0x10101010ee10, 0x1010ee10,
+ 0x10ee10, 0x10ee10, 0x10ee10, 0x10ee10,
+ 0x1010101010ec10, 0x1010ec10, 0x10101010ec10, 0x1010ec10,
+ 0x10ec10, 0x10ec10, 0x10ec10, 0x10ec10,
+ 0x1010101010ec10, 0x1010ec10, 0x10101010ec10, 0x1010ec10,
+ 0x10ec10, 0x10ec10, 0x10ec10, 0x10ec10,
+ 0x1010101010e810, 0x1010e810, 0x10101010e810, 0x1010e810,
+ 0x10e810, 0x10e810, 0x10e810, 0x10e810,
+ 0x1010101010e810, 0x1010e810, 0x10101010e810, 0x1010e810,
+ 0x10e810, 0x10e810, 0x10e810, 0x10e810,
+ 0x1010101010e810, 0x1010e810, 0x10101010e810, 0x1010e810,
+ 0x10e810, 0x10e810, 0x10e810, 0x10e810,
+ 0x1010101010e810, 0x1010e810, 0x10101010e810, 0x1010e810,
+ 0x10e810, 0x10e810, 0x10e810, 0x10e810,
+ 0x1010106f10, 0x10106f10, 0x1010106f10, 0x10106f10,
+ 0x106f10, 0x106f10, 0x106f10, 0x106f10,
+ 0x1010106e10, 0x10106e10, 0x1010106e10, 0x10106e10,
+ 0x106e10, 0x106e10, 0x106e10, 0x106e10,
+ 0x1010106c10, 0x10106c10, 0x1010106c10, 0x10106c10,
+ 0x106c10, 0x106c10, 0x106c10, 0x106c10,
+ 0x1010106c10, 0x10106c10, 0x1010106c10, 0x10106c10,
+ 0x106c10, 0x106c10, 0x106c10, 0x106c10,
+ 0x1010106810, 0x10106810, 0x1010106810, 0x10106810,
+ 0x106810, 0x106810, 0x106810, 0x106810,
+ 0x1010106810, 0x10106810, 0x1010106810, 0x10106810,
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+ 0x1010106810, 0x10106810, 0x1010106810, 0x10106810,
+ 0x106810, 0x106810, 0x106810, 0x106810,
+ 0x1010106810, 0x10106810, 0x1010106810, 0x10106810,
+ 0x106810, 0x106810, 0x106810, 0x106810,
+ 0x10101010102f10, 0x10102f10, 0x101010102f10, 0x10102f10,
+ 0x102f10, 0x102f10, 0x102f10, 0x102f10,
+ 0x10101010102e10, 0x10102e10, 0x101010102e10, 0x10102e10,
+ 0x102e10, 0x102e10, 0x102e10, 0x102e10,
+ 0x10101010102c10, 0x10102c10, 0x101010102c10, 0x10102c10,
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+ 0x10101010102c10, 0x10102c10, 0x101010102c10, 0x10102c10,
+ 0x102c10, 0x102c10, 0x102c10, 0x102c10,
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+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x10101010102810, 0x10102810, 0x101010102810, 0x10102810,
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+ 0x10101010102810, 0x10102810, 0x101010102810, 0x10102810,
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+ 0x10101010102810, 0x10102810, 0x101010102810, 0x10102810,
+ 0x102810, 0x102810, 0x102810, 0x102810,
+ 0x1010102f10, 0x10102f10, 0x1010102f10, 0x10102f10,
+ 0x102f10, 0x102f10, 0x102f10, 0x102f10,
+ 0x1010102e10, 0x10102e10, 0x1010102e10, 0x10102e10,
+ 0x102e10, 0x102e10, 0x102e10, 0x102e10,
+ 0x1010102c10, 0x10102c10, 0x1010102c10, 0x10102c10,
+ 0x102c10, 0x102c10, 0x102c10, 0x102c10,
+ 0x1010102c10, 0x10102c10, 0x1010102c10, 0x10102c10,
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+ 0x1010102810, 0x10102810, 0x1010102810, 0x10102810,
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+ 0x1010101010e0101, 0x10e0101, 0x10101010e0101, 0x10e0101,
+ 0x1010101010e0100, 0x10e0100, 0x10101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010e0101, 0x10e0101, 0x101010e0101, 0x10e0101,
+ 0x101010e0100, 0x10e0100, 0x101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101011e0101, 0x11e0101, 0x10101011e0101, 0x11e0101,
+ 0x101010101fe0100, 0x1fe0100, 0x1010101fe0100, 0x1fe0100,
+ 0x101fe0101, 0x1fe0101, 0x101fe0101, 0x1fe0101,
+ 0x1011e0100, 0x11e0100, 0x1011e0100, 0x11e0100,
+ 0x101011e0101, 0x11e0101, 0x101011e0101, 0x11e0101,
+ 0x10101fe0100, 0x1fe0100, 0x10101fe0100, 0x1fe0100,
+ 0x101fe0101, 0x1fe0101, 0x101fe0101, 0x1fe0101,
+ 0x1011e0100, 0x11e0100, 0x1011e0100, 0x11e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101010e0101, 0x10e0101, 0x10101010e0101, 0x10e0101,
+ 0x1010101010e0100, 0x10e0100, 0x10101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010e0101, 0x10e0101, 0x101010e0101, 0x10e0101,
+ 0x101010e0100, 0x10e0100, 0x101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101013e0101, 0x13e0101, 0x10101013e0101, 0x13e0101,
+ 0x1010101011e0100, 0x11e0100, 0x10101011e0100, 0x11e0100,
+ 0x1011e0101, 0x11e0101, 0x1011e0101, 0x11e0101,
+ 0x101fe0100, 0x1fe0100, 0x101fe0100, 0x1fe0100,
+ 0x101013e0101, 0x13e0101, 0x101013e0101, 0x13e0101,
+ 0x101011e0100, 0x11e0100, 0x101011e0100, 0x11e0100,
+ 0x1011e0101, 0x11e0101, 0x1011e0101, 0x11e0101,
+ 0x101fe0100, 0x1fe0100, 0x101fe0100, 0x1fe0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101010e0101, 0x10e0101, 0x10101010e0101, 0x10e0101,
+ 0x1010101010e0100, 0x10e0100, 0x10101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010e0101, 0x10e0101, 0x101010e0101, 0x10e0101,
+ 0x101010e0100, 0x10e0100, 0x101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101011e0101, 0x11e0101, 0x10101011e0101, 0x11e0101,
+ 0x1010101013e0100, 0x13e0100, 0x10101013e0100, 0x13e0100,
+ 0x1013e0101, 0x13e0101, 0x1013e0101, 0x13e0101,
+ 0x1011e0100, 0x11e0100, 0x1011e0100, 0x11e0100,
+ 0x101011e0101, 0x11e0101, 0x101011e0101, 0x11e0101,
+ 0x101013e0100, 0x13e0100, 0x101013e0100, 0x13e0100,
+ 0x1013e0101, 0x13e0101, 0x1013e0101, 0x13e0101,
+ 0x1011e0100, 0x11e0100, 0x1011e0100, 0x11e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101010e0101, 0x10e0101, 0x10101010e0101, 0x10e0101,
+ 0x1010101010e0100, 0x10e0100, 0x10101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010e0101, 0x10e0101, 0x101010e0101, 0x10e0101,
+ 0x101010e0100, 0x10e0100, 0x101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101017e0101, 0x17e0101, 0x10101017e0101, 0x17e0101,
+ 0x1010101011e0100, 0x11e0100, 0x10101011e0100, 0x11e0100,
+ 0x1011e0101, 0x11e0101, 0x1011e0101, 0x11e0101,
+ 0x1013e0100, 0x13e0100, 0x1013e0100, 0x13e0100,
+ 0x101017e0101, 0x17e0101, 0x101017e0101, 0x17e0101,
+ 0x101011e0100, 0x11e0100, 0x101011e0100, 0x11e0100,
+ 0x1011e0101, 0x11e0101, 0x1011e0101, 0x11e0101,
+ 0x1013e0100, 0x13e0100, 0x1013e0100, 0x13e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101010e0101, 0x10e0101, 0x10101010e0101, 0x10e0101,
+ 0x1010101010e0100, 0x10e0100, 0x10101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010e0101, 0x10e0101, 0x101010e0101, 0x10e0101,
+ 0x101010e0100, 0x10e0100, 0x101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101011e0101, 0x11e0101, 0x10101011e0101, 0x11e0101,
+ 0x1010101017e0100, 0x17e0100, 0x10101017e0100, 0x17e0100,
+ 0x1017e0101, 0x17e0101, 0x1017e0101, 0x17e0101,
+ 0x1011e0100, 0x11e0100, 0x1011e0100, 0x11e0100,
+ 0x101011e0101, 0x11e0101, 0x101011e0101, 0x11e0101,
+ 0x101017e0100, 0x17e0100, 0x101017e0100, 0x17e0100,
+ 0x1017e0101, 0x17e0101, 0x1017e0101, 0x17e0101,
+ 0x1011e0100, 0x11e0100, 0x1011e0100, 0x11e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101010e0101, 0x10e0101, 0x10101010e0101, 0x10e0101,
+ 0x1010101010e0100, 0x10e0100, 0x10101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010e0101, 0x10e0101, 0x101010e0101, 0x10e0101,
+ 0x101010e0100, 0x10e0100, 0x101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101013e0101, 0x13e0101, 0x10101013e0101, 0x13e0101,
+ 0x1010101011e0100, 0x11e0100, 0x10101011e0100, 0x11e0100,
+ 0x1011e0101, 0x11e0101, 0x1011e0101, 0x11e0101,
+ 0x1017e0100, 0x17e0100, 0x1017e0100, 0x17e0100,
+ 0x101013e0101, 0x13e0101, 0x101013e0101, 0x13e0101,
+ 0x101011e0100, 0x11e0100, 0x101011e0100, 0x11e0100,
+ 0x1011e0101, 0x11e0101, 0x1011e0101, 0x11e0101,
+ 0x1017e0100, 0x17e0100, 0x1017e0100, 0x17e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101010e0101, 0x10e0101, 0x10101010e0101, 0x10e0101,
+ 0x1010101010e0100, 0x10e0100, 0x10101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010e0101, 0x10e0101, 0x101010e0101, 0x10e0101,
+ 0x101010e0100, 0x10e0100, 0x101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101011e0101, 0x11e0101, 0x10101011e0101, 0x11e0101,
+ 0x1010101013e0100, 0x13e0100, 0x10101013e0100, 0x13e0100,
+ 0x1013e0101, 0x13e0101, 0x1013e0101, 0x13e0101,
+ 0x1011e0100, 0x11e0100, 0x1011e0100, 0x11e0100,
+ 0x101011e0101, 0x11e0101, 0x101011e0101, 0x11e0101,
+ 0x101013e0100, 0x13e0100, 0x101013e0100, 0x13e0100,
+ 0x1013e0101, 0x13e0101, 0x1013e0101, 0x13e0101,
+ 0x1011e0100, 0x11e0100, 0x1011e0100, 0x11e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x1010101010e0101, 0x10e0101, 0x10101010e0101, 0x10e0101,
+ 0x1010101010e0100, 0x10e0100, 0x10101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010e0101, 0x10e0101, 0x101010e0101, 0x10e0101,
+ 0x101010e0100, 0x10e0100, 0x101010e0100, 0x10e0100,
+ 0x1010e0101, 0x10e0101, 0x1010e0101, 0x10e0101,
+ 0x1010e0100, 0x10e0100, 0x1010e0100, 0x10e0100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x101010101060101, 0x1060101, 0x1010101060101, 0x1060101,
+ 0x101010101060100, 0x1060100, 0x1010101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x10101060101, 0x1060101, 0x10101060101, 0x1060101,
+ 0x10101060100, 0x1060100, 0x10101060100, 0x1060100,
+ 0x101060101, 0x1060101, 0x101060101, 0x1060101,
+ 0x101060100, 0x1060100, 0x101060100, 0x1060100,
+ 0x101010101020101, 0x1020101, 0x1010101020101, 0x1020101,
+ 0x101010101020100, 0x1020100, 0x1010101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
+ 0x101020100, 0x1020100, 0x101020100, 0x1020100,
+ 0x10101020101, 0x1020101, 0x10101020101, 0x1020101,
+ 0x10101020100, 0x1020100, 0x10101020100, 0x1020100,
+ 0x101020101, 0x1020101, 0x101020101, 0x1020101,
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+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ },
+ .{
+ 0x1010101010ef1010, 0x1010ef1010, 0x1010101010ee1010, 0x1010ee1010,
+ 0x1010101010ec1010, 0x1010ec1010, 0x1010101010ec1010, 0x1010ec1010,
+ 0x1010101010e81010, 0x1010e81010, 0x1010101010e81010, 0x1010e81010,
+ 0x1010101010e81010, 0x1010e81010, 0x1010101010e81010, 0x1010e81010,
+ 0x10ef1010, 0x10ef1010, 0x10ee1010, 0x10ee1010,
+ 0x10ec1010, 0x10ec1010, 0x10ec1010, 0x10ec1010,
+ 0x10e81010, 0x10e81010, 0x10e81010, 0x10e81010,
+ 0x10e81010, 0x10e81010, 0x10e81010, 0x10e81010,
+ 0x10101010102f1010, 0x10102f1010, 0x10101010102e1010, 0x10102e1010,
+ 0x10101010102c1010, 0x10102c1010, 0x10101010102c1010, 0x10102c1010,
+ 0x1010101010281010, 0x1010281010, 0x1010101010281010, 0x1010281010,
+ 0x1010101010281010, 0x1010281010, 0x1010101010281010, 0x1010281010,
+ 0x102f1010, 0x102f1010, 0x102e1010, 0x102e1010,
+ 0x102c1010, 0x102c1010, 0x102c1010, 0x102c1010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10101010106f1010, 0x10106f1010, 0x10101010106e1010, 0x10106e1010,
+ 0x10101010106c1010, 0x10106c1010, 0x10101010106c1010, 0x10106c1010,
+ 0x1010101010681010, 0x1010681010, 0x1010101010681010, 0x1010681010,
+ 0x1010101010681010, 0x1010681010, 0x1010101010681010, 0x1010681010,
+ 0x106f1010, 0x106f1010, 0x106e1010, 0x106e1010,
+ 0x106c1010, 0x106c1010, 0x106c1010, 0x106c1010,
+ 0x10681010, 0x10681010, 0x10681010, 0x10681010,
+ 0x10681010, 0x10681010, 0x10681010, 0x10681010,
+ 0x10101010102f1010, 0x10102f1010, 0x10101010102e1010, 0x10102e1010,
+ 0x10101010102c1010, 0x10102c1010, 0x10101010102c1010, 0x10102c1010,
+ 0x1010101010281010, 0x1010281010, 0x1010101010281010, 0x1010281010,
+ 0x1010101010281010, 0x1010281010, 0x1010101010281010, 0x1010281010,
+ 0x102f1010, 0x102f1010, 0x102e1010, 0x102e1010,
+ 0x102c1010, 0x102c1010, 0x102c1010, 0x102c1010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10101010ef1010, 0x1010ef1010, 0x10101010ee1010, 0x1010ee1010,
+ 0x10101010ec1010, 0x1010ec1010, 0x10101010ec1010, 0x1010ec1010,
+ 0x10101010e81010, 0x1010e81010, 0x10101010e81010, 0x1010e81010,
+ 0x10101010e81010, 0x1010e81010, 0x10101010e81010, 0x1010e81010,
+ 0x10ef1010, 0x10ef1010, 0x10ee1010, 0x10ee1010,
+ 0x10ec1010, 0x10ec1010, 0x10ec1010, 0x10ec1010,
+ 0x10e81010, 0x10e81010, 0x10e81010, 0x10e81010,
+ 0x10e81010, 0x10e81010, 0x10e81010, 0x10e81010,
+ 0x101010102f1010, 0x10102f1010, 0x101010102e1010, 0x10102e1010,
+ 0x101010102c1010, 0x10102c1010, 0x101010102c1010, 0x10102c1010,
+ 0x10101010281010, 0x1010281010, 0x10101010281010, 0x1010281010,
+ 0x10101010281010, 0x1010281010, 0x10101010281010, 0x1010281010,
+ 0x102f1010, 0x102f1010, 0x102e1010, 0x102e1010,
+ 0x102c1010, 0x102c1010, 0x102c1010, 0x102c1010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x101010106f1010, 0x10106f1010, 0x101010106e1010, 0x10106e1010,
+ 0x101010106c1010, 0x10106c1010, 0x101010106c1010, 0x10106c1010,
+ 0x10101010681010, 0x1010681010, 0x10101010681010, 0x1010681010,
+ 0x10101010681010, 0x1010681010, 0x10101010681010, 0x1010681010,
+ 0x106f1010, 0x106f1010, 0x106e1010, 0x106e1010,
+ 0x106c1010, 0x106c1010, 0x106c1010, 0x106c1010,
+ 0x10681010, 0x10681010, 0x10681010, 0x10681010,
+ 0x10681010, 0x10681010, 0x10681010, 0x10681010,
+ 0x101010102f1010, 0x10102f1010, 0x101010102e1010, 0x10102e1010,
+ 0x101010102c1010, 0x10102c1010, 0x101010102c1010, 0x10102c1010,
+ 0x10101010281010, 0x1010281010, 0x10101010281010, 0x1010281010,
+ 0x10101010281010, 0x1010281010, 0x10101010281010, 0x1010281010,
+ 0x102f1010, 0x102f1010, 0x102e1010, 0x102e1010,
+ 0x102c1010, 0x102c1010, 0x102c1010, 0x102c1010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x101010ef1010, 0x1010ef1010, 0x101010ee1010, 0x1010ee1010,
+ 0x101010ec1010, 0x1010ec1010, 0x101010ec1010, 0x1010ec1010,
+ 0x101010e81010, 0x1010e81010, 0x101010e81010, 0x1010e81010,
+ 0x101010e81010, 0x1010e81010, 0x101010e81010, 0x1010e81010,
+ 0x10ef1010, 0x10ef1010, 0x10ee1010, 0x10ee1010,
+ 0x10ec1010, 0x10ec1010, 0x10ec1010, 0x10ec1010,
+ 0x10e81010, 0x10e81010, 0x10e81010, 0x10e81010,
+ 0x10e81010, 0x10e81010, 0x10e81010, 0x10e81010,
+ 0x1010102f1010, 0x10102f1010, 0x1010102e1010, 0x10102e1010,
+ 0x1010102c1010, 0x10102c1010, 0x1010102c1010, 0x10102c1010,
+ 0x101010281010, 0x1010281010, 0x101010281010, 0x1010281010,
+ 0x101010281010, 0x1010281010, 0x101010281010, 0x1010281010,
+ 0x102f1010, 0x102f1010, 0x102e1010, 0x102e1010,
+ 0x102c1010, 0x102c1010, 0x102c1010, 0x102c1010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x1010106f1010, 0x10106f1010, 0x1010106e1010, 0x10106e1010,
+ 0x1010106c1010, 0x10106c1010, 0x1010106c1010, 0x10106c1010,
+ 0x101010681010, 0x1010681010, 0x101010681010, 0x1010681010,
+ 0x101010681010, 0x1010681010, 0x101010681010, 0x1010681010,
+ 0x106f1010, 0x106f1010, 0x106e1010, 0x106e1010,
+ 0x106c1010, 0x106c1010, 0x106c1010, 0x106c1010,
+ 0x10681010, 0x10681010, 0x10681010, 0x10681010,
+ 0x10681010, 0x10681010, 0x10681010, 0x10681010,
+ 0x1010102f1010, 0x10102f1010, 0x1010102e1010, 0x10102e1010,
+ 0x1010102c1010, 0x10102c1010, 0x1010102c1010, 0x10102c1010,
+ 0x101010281010, 0x1010281010, 0x101010281010, 0x1010281010,
+ 0x101010281010, 0x1010281010, 0x101010281010, 0x1010281010,
+ 0x102f1010, 0x102f1010, 0x102e1010, 0x102e1010,
+ 0x102c1010, 0x102c1010, 0x102c1010, 0x102c1010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x101010ef1010, 0x1010ef1010, 0x101010ee1010, 0x1010ee1010,
+ 0x101010ec1010, 0x1010ec1010, 0x101010ec1010, 0x1010ec1010,
+ 0x101010e81010, 0x1010e81010, 0x101010e81010, 0x1010e81010,
+ 0x101010e81010, 0x1010e81010, 0x101010e81010, 0x1010e81010,
+ 0x10ef1010, 0x10ef1010, 0x10ee1010, 0x10ee1010,
+ 0x10ec1010, 0x10ec1010, 0x10ec1010, 0x10ec1010,
+ 0x10e81010, 0x10e81010, 0x10e81010, 0x10e81010,
+ 0x10e81010, 0x10e81010, 0x10e81010, 0x10e81010,
+ 0x1010102f1010, 0x10102f1010, 0x1010102e1010, 0x10102e1010,
+ 0x1010102c1010, 0x10102c1010, 0x1010102c1010, 0x10102c1010,
+ 0x101010281010, 0x1010281010, 0x101010281010, 0x1010281010,
+ 0x101010281010, 0x1010281010, 0x101010281010, 0x1010281010,
+ 0x102f1010, 0x102f1010, 0x102e1010, 0x102e1010,
+ 0x102c1010, 0x102c1010, 0x102c1010, 0x102c1010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x1010106f1010, 0x10106f1010, 0x1010106e1010, 0x10106e1010,
+ 0x1010106c1010, 0x10106c1010, 0x1010106c1010, 0x10106c1010,
+ 0x101010681010, 0x1010681010, 0x101010681010, 0x1010681010,
+ 0x101010681010, 0x1010681010, 0x101010681010, 0x1010681010,
+ 0x106f1010, 0x106f1010, 0x106e1010, 0x106e1010,
+ 0x106c1010, 0x106c1010, 0x106c1010, 0x106c1010,
+ 0x10681010, 0x10681010, 0x10681010, 0x10681010,
+ 0x10681010, 0x10681010, 0x10681010, 0x10681010,
+ 0x1010102f1010, 0x10102f1010, 0x1010102e1010, 0x10102e1010,
+ 0x1010102c1010, 0x10102c1010, 0x1010102c1010, 0x10102c1010,
+ 0x101010281010, 0x1010281010, 0x101010281010, 0x1010281010,
+ 0x101010281010, 0x1010281010, 0x101010281010, 0x1010281010,
+ 0x102f1010, 0x102f1010, 0x102e1010, 0x102e1010,
+ 0x102c1010, 0x102c1010, 0x102c1010, 0x102c1010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x10281010, 0x10281010, 0x10281010, 0x10281010,
+ 0x1010101010ef1000, 0x1010ef1000, 0x1010101010ee1000, 0x1010ee1000,
+ 0x1010101010ec1000, 0x1010ec1000, 0x1010101010ec1000, 0x1010ec1000,
+ 0x1010101010e81000, 0x1010e81000, 0x1010101010e81000, 0x1010e81000,
+ 0x1010101010e81000, 0x1010e81000, 0x1010101010e81000, 0x1010e81000,
+ 0x10ef1000, 0x10ef1000, 0x10ee1000, 0x10ee1000,
+ 0x10ec1000, 0x10ec1000, 0x10ec1000, 0x10ec1000,
+ 0x10e81000, 0x10e81000, 0x10e81000, 0x10e81000,
+ 0x10e81000, 0x10e81000, 0x10e81000, 0x10e81000,
+ 0x10101010102f1000, 0x10102f1000, 0x10101010102e1000, 0x10102e1000,
+ 0x10101010102c1000, 0x10102c1000, 0x10101010102c1000, 0x10102c1000,
+ 0x1010101010281000, 0x1010281000, 0x1010101010281000, 0x1010281000,
+ 0x1010101010281000, 0x1010281000, 0x1010101010281000, 0x1010281000,
+ 0x102f1000, 0x102f1000, 0x102e1000, 0x102e1000,
+ 0x102c1000, 0x102c1000, 0x102c1000, 0x102c1000,
+ 0x10281000, 0x10281000, 0x10281000, 0x10281000,
+ 0x10281000, 0x10281000, 0x10281000, 0x10281000,
+ 0x10101010106f1000, 0x10106f1000, 0x10101010106e1000, 0x10106e1000,
+ 0x10101010106c1000, 0x10106c1000, 0x10101010106c1000, 0x10106c1000,
+ 0x1010101010681000, 0x1010681000, 0x1010101010681000, 0x1010681000,
+ 0x1010101010681000, 0x1010681000, 0x1010101010681000, 0x1010681000,
+ 0x106f1000, 0x106f1000, 0x106e1000, 0x106e1000,
+ 0x106c1000, 0x106c1000, 0x106c1000, 0x106c1000,
+ 0x10681000, 0x10681000, 0x10681000, 0x10681000,
+ 0x10681000, 0x10681000, 0x10681000, 0x10681000,
+ 0x10101010102f1000, 0x10102f1000, 0x10101010102e1000, 0x10102e1000,
+ 0x10101010102c1000, 0x10102c1000, 0x10101010102c1000, 0x10102c1000,
+ 0x1010101010281000, 0x1010281000, 0x1010101010281000, 0x1010281000,
+ 0x1010101010281000, 0x1010281000, 0x1010101010281000, 0x1010281000,
+ 0x102f1000, 0x102f1000, 0x102e1000, 0x102e1000,
+ 0x102c1000, 0x102c1000, 0x102c1000, 0x102c1000,
+ 0x10281000, 0x10281000, 0x10281000, 0x10281000,
+ 0x10281000, 0x10281000, 0x10281000, 0x10281000,
+ 0x10101010ef1000, 0x1010ef1000, 0x10101010ee1000, 0x1010ee1000,
+ 0x10101010ec1000, 0x1010ec1000, 0x10101010ec1000, 0x1010ec1000,
+ 0x10101010e81000, 0x1010e81000, 0x10101010e81000, 0x1010e81000,
+ 0x10101010e81000, 0x1010e81000, 0x10101010e81000, 0x1010e81000,
+ 0x10ef1000, 0x10ef1000, 0x10ee1000, 0x10ee1000,
+ 0x10ec1000, 0x10ec1000, 0x10ec1000, 0x10ec1000,
+ 0x10e81000, 0x10e81000, 0x10e81000, 0x10e81000,
+ 0x10e81000, 0x10e81000, 0x10e81000, 0x10e81000,
+ 0x101010102f1000, 0x10102f1000, 0x101010102e1000, 0x10102e1000,
+ 0x101010102c1000, 0x10102c1000, 0x101010102c1000, 0x10102c1000,
+ 0x10101010281000, 0x1010281000, 0x10101010281000, 0x1010281000,
+ 0x10101010281000, 0x1010281000, 0x10101010281000, 0x1010281000,
+ 0x102f1000, 0x102f1000, 0x102e1000, 0x102e1000,
+ 0x102c1000, 0x102c1000, 0x102c1000, 0x102c1000,
+ 0x10281000, 0x10281000, 0x10281000, 0x10281000,
+ 0x10281000, 0x10281000, 0x10281000, 0x10281000,
+ 0x101010106f1000, 0x10106f1000, 0x101010106e1000, 0x10106e1000,
+ 0x101010106c1000, 0x10106c1000, 0x101010106c1000, 0x10106c1000,
+ 0x10101010681000, 0x1010681000, 0x10101010681000, 0x1010681000,
+ 0x10101010681000, 0x1010681000, 0x10101010681000, 0x1010681000,
+ 0x106f1000, 0x106f1000, 0x106e1000, 0x106e1000,
+ 0x106c1000, 0x106c1000, 0x106c1000, 0x106c1000,
+ 0x10681000, 0x10681000, 0x10681000, 0x10681000,
+ 0x10681000, 0x10681000, 0x10681000, 0x10681000,
+ 0x101010102f1000, 0x10102f1000, 0x101010102e1000, 0x10102e1000,
+ 0x101010102c1000, 0x10102c1000, 0x101010102c1000, 0x10102c1000,
+ 0x10101010281000, 0x1010281000, 0x10101010281000, 0x1010281000,
+ 0x10101010281000, 0x1010281000, 0x10101010281000, 0x1010281000,
+ 0x102f1000, 0x102f1000, 0x102e1000, 0x102e1000,
+ 0x102c1000, 0x102c1000, 0x102c1000, 0x102c1000,
+ 0x10281000, 0x10281000, 0x10281000, 0x10281000,
+ 0x10281000, 0x10281000, 0x10281000, 0x10281000,
+ 0x101010ef1000, 0x1010ef1000, 0x101010ee1000, 0x1010ee1000,
+ 0x101010ec1000, 0x1010ec1000, 0x101010ec1000, 0x1010ec1000,
+ 0x101010e81000, 0x1010e81000, 0x101010e81000, 0x1010e81000,
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+ 0x10101013e010000, 0x10101013e010000, 0x1013e010000, 0x1013e010000,
+ 0x101010106010101, 0x101010106010100, 0x10106010101, 0x10106010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x10e010101, 0x10e010100, 0x10e010101, 0x10e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x10e010000, 0x10e010000, 0x10e010000, 0x10e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x11e010101, 0x11e010100, 0x11e010101, 0x11e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x11e010000, 0x11e010000, 0x11e010000, 0x11e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x101010e010101, 0x101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x101010e010000, 0x101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x101010106010000, 0x101010106010000, 0x10106010000, 0x10106010000,
+ 0x10101fe010101, 0x10101fe010100, 0x101fe010101, 0x101fe010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x10101017e010000, 0x10101017e010000, 0x1017e010000, 0x1017e010000,
+ 0x101010106010101, 0x101010106010100, 0x10106010101, 0x10106010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x101010106010000, 0x101010106010000, 0x10106010000, 0x10106010000,
+ 0x10101010e010101, 0x10101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x10e010000, 0x10e010000, 0x10e010000, 0x10e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x11e010101, 0x11e010100, 0x11e010101, 0x11e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x11e010000, 0x11e010000, 0x11e010000, 0x11e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x10e010101, 0x10e010100, 0x10e010101, 0x10e010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x101010e010000, 0x101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x101013e010101, 0x101013e010100, 0x1013e010101, 0x1013e010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x10101013e010000, 0x10101013e010000, 0x1013e010000, 0x1013e010000,
+ 0x101010106010101, 0x101010106010100, 0x10106010101, 0x10106010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x101010106010000, 0x101010106010000, 0x10106010000, 0x10106010000,
+ 0x10101010e010101, 0x10101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x10e010000, 0x10e010000, 0x10e010000, 0x10e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x11e010101, 0x11e010100, 0x11e010101, 0x11e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x11e010000, 0x11e010000, 0x11e010000, 0x11e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x10e010101, 0x10e010100, 0x10e010101, 0x10e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x101010e010000, 0x101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x101017e010101, 0x101017e010100, 0x1017e010101, 0x1017e010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x10101fe010000, 0x10101fe010000, 0x101fe010000, 0x101fe010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x101010106010000, 0x101010106010000, 0x10106010000, 0x10106010000,
+ 0x10101010e010101, 0x10101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x10101010e010000, 0x10101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x101010106010101, 0x101010106010100, 0x10106010101, 0x10106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x11e010101, 0x11e010100, 0x11e010101, 0x11e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x11e010000, 0x11e010000, 0x11e010000, 0x11e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x10e010101, 0x10e010100, 0x10e010101, 0x10e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x10e010000, 0x10e010000, 0x10e010000, 0x10e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x101013e010101, 0x101013e010100, 0x1013e010101, 0x1013e010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x101013e010000, 0x101013e010000, 0x1013e010000, 0x1013e010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x101010106010000, 0x101010106010000, 0x10106010000, 0x10106010000,
+ 0x10101010e010101, 0x10101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x10101010e010000, 0x10101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x101010106010101, 0x101010106010100, 0x10106010101, 0x10106010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x11e010101, 0x11e010100, 0x11e010101, 0x11e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x11e010000, 0x11e010000, 0x11e010000, 0x11e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x10e010101, 0x10e010100, 0x10e010101, 0x10e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x10e010000, 0x10e010000, 0x10e010000, 0x10e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x1fe010101, 0x1fe010100, 0x1fe010101, 0x1fe010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x101017e010000, 0x101017e010000, 0x1017e010000, 0x1017e010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x101010e010101, 0x101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x10101010e010000, 0x10101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x101010106010101, 0x101010106010100, 0x10106010101, 0x10106010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x101010106010000, 0x101010106010000, 0x10106010000, 0x10106010000,
+ 0x10101011e010101, 0x10101011e010100, 0x1011e010101, 0x1011e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x11e010000, 0x11e010000, 0x11e010000, 0x11e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x10e010101, 0x10e010100, 0x10e010101, 0x10e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x10e010000, 0x10e010000, 0x10e010000, 0x10e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x13e010101, 0x13e010100, 0x13e010101, 0x13e010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x101013e010000, 0x101013e010000, 0x1013e010000, 0x1013e010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x101010e010101, 0x101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x10101010e010000, 0x10101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x101010106010101, 0x101010106010100, 0x10106010101, 0x10106010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x101010106010000, 0x101010106010000, 0x10106010000, 0x10106010000,
+ 0x10101011e010101, 0x10101011e010100, 0x1011e010101, 0x1011e010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x11e010000, 0x11e010000, 0x11e010000, 0x11e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x10e010101, 0x10e010100, 0x10e010101, 0x10e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x10e010000, 0x10e010000, 0x10e010000, 0x10e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x17e010101, 0x17e010100, 0x17e010101, 0x17e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x1fe010000, 0x1fe010000, 0x1fe010000, 0x1fe010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x101010e010101, 0x101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x101010e010000, 0x101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x101010106010000, 0x101010106010000, 0x10106010000, 0x10106010000,
+ 0x10101011e010101, 0x10101011e010100, 0x1011e010101, 0x1011e010100,
+ 0x101010102010000, 0x101010102010000, 0x10102010000, 0x10102010000,
+ 0x101010102010101, 0x101010102010100, 0x10102010101, 0x10102010100,
+ 0x10101011e010000, 0x10101011e010000, 0x1011e010000, 0x1011e010000,
+ 0x101010106010101, 0x101010106010100, 0x10106010101, 0x10106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x10e010101, 0x10e010100, 0x10e010101, 0x10e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x10e010000, 0x10e010000, 0x10e010000, 0x10e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x106010000, 0x106010000, 0x106010000, 0x106010000,
+ 0x13e010101, 0x13e010100, 0x13e010101, 0x13e010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x13e010000, 0x13e010000, 0x13e010000, 0x13e010000,
+ 0x106010101, 0x106010100, 0x106010101, 0x106010100,
+ 0x102010000, 0x102010000, 0x102010000, 0x102010000,
+ 0x102010101, 0x102010100, 0x102010101, 0x102010100,
+ 0x1010106010000, 0x1010106010000, 0x10106010000, 0x10106010000,
+ 0x101010e010101, 0x101010e010100, 0x1010e010101, 0x1010e010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
+ 0x1010102010101, 0x1010102010100, 0x10102010101, 0x10102010100,
+ 0x101010e010000, 0x101010e010000, 0x1010e010000, 0x1010e010000,
+ 0x1010106010101, 0x1010106010100, 0x10106010101, 0x10106010100,
+ 0x1010102010000, 0x1010102010000, 0x10102010000, 0x10102010000,
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+ 0x10201010000, 0x101010201000000, 0x10601010100, 0x1010e01000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101011e01010101, 0x10601000000, 0x10201010000, 0x1010201000000,
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+ 0x101010201010000, 0x10201000000, 0x1011e01010100, 0x10601000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x10601010101, 0x101011e01000000, 0x1010201010000, 0x10201000000,
+ 0x10601010101, 0x1011e01000000, 0x10601010100, 0x101011e01000000,
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+ 0x1010e01010101, 0x10601000000, 0x101010e01010100, 0x10601000000,
+ 0x101010201010000, 0x10201000000, 0x1010e01010100, 0x10601000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x10601010101, 0x101010e01000000, 0x1010201010000, 0x10201000000,
+ 0x10601010101, 0x1010e01000000, 0x10601010100, 0x101010e01000000,
+ 0x10201010000, 0x101010201000000, 0x10601010100, 0x1010e01000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101017e01010101, 0x10601000000, 0x10201010000, 0x1010201000000,
+ 0x1017e01010101, 0x10601000000, 0x101017e01010100, 0x10601000000,
+ 0x101010201010000, 0x10201000000, 0x1017e01010100, 0x10601000000,
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+ 0x10601010101, 0x101017e01000000, 0x1010201010000, 0x10201000000,
+ 0x10601010101, 0x1017e01000000, 0x10601010100, 0x101017e01000000,
+ 0x10201010000, 0x101010201000000, 0x10601010100, 0x1017e01000000,
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+ 0x1010e01010101, 0x10601000000, 0x101010e01010100, 0x10601000000,
+ 0x101010201010000, 0x10201000000, 0x1010e01010100, 0x10601000000,
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+ 0x10601010101, 0x101010e01000000, 0x1010201010000, 0x10201000000,
+ 0x10601010101, 0x1010e01000000, 0x10601010100, 0x101010e01000000,
+ 0x10201010000, 0x101010201000000, 0x10601010100, 0x1010e01000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101011e01010101, 0x10601000000, 0x10201010000, 0x1010201000000,
+ 0x1011e01010101, 0x10601000000, 0x101011e01010100, 0x10601000000,
+ 0x101010201010000, 0x10201000000, 0x1011e01010100, 0x10601000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x10601010101, 0x101011e01000000, 0x1010201010000, 0x10201000000,
+ 0x10601010101, 0x1011e01000000, 0x10601010100, 0x101011e01000000,
+ 0x10201010000, 0x101010201000000, 0x10601010100, 0x1011e01000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101010e01010101, 0x10601000000, 0x10201010000, 0x1010201000000,
+ 0x1010e01010101, 0x10601000000, 0x101010e01010100, 0x10601000000,
+ 0x101010201010000, 0x10201000000, 0x1010e01010100, 0x10601000000,
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+ 0x10601010101, 0x101010e01000000, 0x1010201010000, 0x10201000000,
+ 0x10601010101, 0x1010e01000000, 0x10601010100, 0x101010e01000000,
+ 0x10201010000, 0x101010201000000, 0x10601010100, 0x1010e01000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101013e01010101, 0x10601000000, 0x10201010000, 0x1010201000000,
+ 0x1013e01010101, 0x10601000000, 0x101013e01010100, 0x10601000000,
+ 0x101010201010000, 0x10201000000, 0x1013e01010100, 0x10601000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x10601010101, 0x101013e01000000, 0x1010201010000, 0x10201000000,
+ 0x10601010101, 0x1013e01000000, 0x10601010100, 0x101013e01000000,
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+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101010e01010101, 0x10601000000, 0x10201010000, 0x1010201000000,
+ 0x1010e01010101, 0x10601000000, 0x101010e01010100, 0x10601000000,
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+ 0x10601010101, 0x101010e01000000, 0x1010201010000, 0x10201000000,
+ 0x10601010101, 0x1010e01000000, 0x10601010100, 0x101010e01000000,
+ 0x10201010000, 0x101010201000000, 0x10601010100, 0x1010e01000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101011e01010101, 0x10601000000, 0x10201010000, 0x1010201000000,
+ 0x1011e01010101, 0x10601000000, 0x101011e01010100, 0x10601000000,
+ 0x101010201010000, 0x10201000000, 0x1011e01010100, 0x10601000000,
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+ 0x101010e01010101, 0x10601000000, 0x10201010000, 0x1010201000000,
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+ 0x101010201010000, 0x10201000000, 0x1010e01010100, 0x10601000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x10601010101, 0x101010e01000000, 0x1010201010000, 0x10201000000,
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+ 0x10201010000, 0x101010201000000, 0x10601010100, 0x1010e01000000,
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+ 0x101010201010101, 0x10201000000, 0x1fe01010000, 0x10601000000,
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+ 0x101010601010000, 0x1fe01000000, 0x1010201010100, 0x10201000000,
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+ 0x1010601010000, 0x10e01000000, 0x101010601010000, 0x10e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x10e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x13e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x13e01010000, 0x1010601000000, 0x13e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x13e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x13e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x13e01000000, 0x101010601010000, 0x13e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x13e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x10e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x10e01010000, 0x1010601000000, 0x10e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x10e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x10e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x10e01000000, 0x101010601010000, 0x10e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x10e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x11e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x11e01010000, 0x1010601000000, 0x11e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x11e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x11e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x11e01000000, 0x101010601010000, 0x11e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x11e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x10e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x10e01010000, 0x1010601000000, 0x10e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x10e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x10e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x10e01000000, 0x101010601010000, 0x10e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x10e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x17e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x17e01010000, 0x1010601000000, 0x17e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x17e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x17e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x17e01000000, 0x101010601010000, 0x17e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x17e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x10e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x10e01010000, 0x1010601000000, 0x10e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x10e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x10e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x10e01000000, 0x101010601010000, 0x10e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x10e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x11e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x11e01010000, 0x1010601000000, 0x11e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x11e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x11e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x11e01000000, 0x101010601010000, 0x11e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x11e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x10e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x10e01010000, 0x1010601000000, 0x10e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x10e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x10e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x10e01000000, 0x101010601010000, 0x10e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x10e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x13e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x13e01010000, 0x1010601000000, 0x13e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x13e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x13e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x13e01000000, 0x101010601010000, 0x13e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x13e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x10e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x10e01010000, 0x1010601000000, 0x10e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x10e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x10e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x10e01000000, 0x101010601010000, 0x10e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x10e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x11e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x11e01010000, 0x1010601000000, 0x11e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x11e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x11e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x11e01000000, 0x101010601010000, 0x11e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x11e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x10e01010000, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x10e01010000, 0x1010601000000, 0x10e01010000, 0x101010601000000,
+ 0x101010201010101, 0x10201000000, 0x10e01010000, 0x1010601000000,
+ 0x1010201010101, 0x10201000000, 0x101010201010100, 0x10201000000,
+ 0x101010601010000, 0x10e01000000, 0x1010201010100, 0x10201000000,
+ 0x1010601010000, 0x10e01000000, 0x101010601010000, 0x10e01000000,
+ 0x10201010101, 0x101010201000000, 0x1010601010000, 0x10e01000000,
+ 0x10201010101, 0x1010201000000, 0x10201010100, 0x101010201000000,
+ 0x1fe01010101, 0x101010601000000, 0x10201010100, 0x1010201000000,
+ 0x1fe01010101, 0x1010601000000, 0x1fe01010100, 0x101010601000000,
+ 0x10201010000, 0x10201000000, 0x1fe01010100, 0x1010601000000,
+ 0x10201010000, 0x10201000000, 0x10201010000, 0x10201000000,
+ 0x101010601010101, 0x1fe01000000, 0x10201010000, 0x10201000000,
+ 0x1010601010101, 0x1fe01000000, 0x101010601010100, 0x1fe01000000,
+ 0x101010201010000, 0x10201000000, 0x1010601010100, 0x1fe01000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x10e01010101, 0x101010601000000, 0x1010201010000, 0x10201000000,
+ 0x10e01010101, 0x1010601000000, 0x10e01010100, 0x101010601000000,
+ 0x10201010000, 0x101010201000000, 0x10e01010100, 0x1010601000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101010601010101, 0x10e01000000, 0x10201010000, 0x1010201000000,
+ 0x1010601010101, 0x10e01000000, 0x101010601010100, 0x10e01000000,
+ 0x101010201010000, 0x10201000000, 0x1010601010100, 0x10e01000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x11e01010101, 0x101010601000000, 0x1010201010000, 0x10201000000,
+ 0x11e01010101, 0x1010601000000, 0x11e01010100, 0x101010601000000,
+ 0x10201010000, 0x101010201000000, 0x11e01010100, 0x1010601000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101010601010101, 0x11e01000000, 0x10201010000, 0x1010201000000,
+ 0x1010601010101, 0x11e01000000, 0x101010601010100, 0x11e01000000,
+ 0x101010201010000, 0x10201000000, 0x1010601010100, 0x11e01000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x10e01010101, 0x101010601000000, 0x1010201010000, 0x10201000000,
+ 0x10e01010101, 0x1010601000000, 0x10e01010100, 0x101010601000000,
+ 0x10201010000, 0x101010201000000, 0x10e01010100, 0x1010601000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101010601010101, 0x10e01000000, 0x10201010000, 0x1010201000000,
+ 0x1010601010101, 0x10e01000000, 0x101010601010100, 0x10e01000000,
+ 0x101010201010000, 0x10201000000, 0x1010601010100, 0x10e01000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x13e01010101, 0x101010601000000, 0x1010201010000, 0x10201000000,
+ 0x13e01010101, 0x1010601000000, 0x13e01010100, 0x101010601000000,
+ 0x10201010000, 0x101010201000000, 0x13e01010100, 0x1010601000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
+ 0x101010601010101, 0x13e01000000, 0x10201010000, 0x1010201000000,
+ 0x1010601010101, 0x13e01000000, 0x101010601010100, 0x13e01000000,
+ 0x101010201010000, 0x10201000000, 0x1010601010100, 0x13e01000000,
+ 0x1010201010000, 0x10201000000, 0x101010201010000, 0x10201000000,
+ 0x10e01010101, 0x101010601000000, 0x1010201010000, 0x10201000000,
+ 0x10e01010101, 0x1010601000000, 0x10e01010100, 0x101010601000000,
+ 0x10201010000, 0x101010201000000, 0x10e01010100, 0x1010601000000,
+ 0x10201010000, 0x1010201000000, 0x10201010000, 0x101010201000000,
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+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ },
+ .{
+ 0x101010ef10101010, 0x102c10000000, 0x102810000000, 0x1010102810000000,
+ 0x101010ee10101010, 0x102c10000000, 0x102810000000, 0x101010ef10101000,
+ 0x101010ec10101010, 0x102810000000, 0x102810000000, 0x101010ee10101000,
+ 0x101010ec10101010, 0x102810000000, 0x102810000000, 0x101010ec10101000,
+ 0x101010e810101010, 0x102810000000, 0x10ef10101010, 0x101010ec10101000,
+ 0x101010e810101010, 0x102810000000, 0x10ee10101010, 0x101010e810101000,
+ 0x101010e810101010, 0x10ef10101000, 0x10ec10101010, 0x101010e810101000,
+ 0x101010e810101010, 0x10ee10101000, 0x10ec10101010, 0x101010e810101000,
+ 0x101010ef10000000, 0x10ec10101000, 0x10e810101010, 0x101010e810101000,
+ 0x101010ee10000000, 0x10ec10101000, 0x10e810101010, 0x101010ef10000000,
+ 0x101010ec10000000, 0x10e810101000, 0x10e810101010, 0x101010ee10000000,
+ 0x101010ec10000000, 0x10e810101000, 0x10e810101010, 0x101010ec10000000,
+ 0x101010e810000000, 0x10e810101000, 0x10ef10000000, 0x101010ec10000000,
+ 0x101010e810000000, 0x10e810101000, 0x10ee10000000, 0x101010e810000000,
+ 0x101010e810000000, 0x10ef10000000, 0x10ec10000000, 0x101010e810000000,
+ 0x101010e810000000, 0x10ee10000000, 0x10ec10000000, 0x101010e810000000,
+ 0x1010102f10101010, 0x10ec10000000, 0x10e810000000, 0x101010e810000000,
+ 0x1010102e10101010, 0x10ec10000000, 0x10e810000000, 0x1010102f10101000,
+ 0x1010102c10101010, 0x10e810000000, 0x10e810000000, 0x1010102e10101000,
+ 0x1010102c10101010, 0x10e810000000, 0x10e810000000, 0x1010102c10101000,
+ 0x1010102810101010, 0x10e810000000, 0x102f10101010, 0x1010102c10101000,
+ 0x1010102810101010, 0x10e810000000, 0x102e10101010, 0x1010102810101000,
+ 0x1010102810101010, 0x102f10101000, 0x102c10101010, 0x1010102810101000,
+ 0x1010102810101010, 0x102e10101000, 0x102c10101010, 0x1010102810101000,
+ 0x1010102f10000000, 0x102c10101000, 0x102810101010, 0x1010102810101000,
+ 0x1010102e10000000, 0x102c10101000, 0x102810101010, 0x1010102f10000000,
+ 0x1010102c10000000, 0x102810101000, 0x102810101010, 0x1010102e10000000,
+ 0x1010102c10000000, 0x102810101000, 0x102810101010, 0x1010102c10000000,
+ 0x1010102810000000, 0x102810101000, 0x102f10000000, 0x1010102c10000000,
+ 0x1010102810000000, 0x102810101000, 0x102e10000000, 0x1010102810000000,
+ 0x1010102810000000, 0x102f10000000, 0x102c10000000, 0x1010102810000000,
+ 0x1010102810000000, 0x102e10000000, 0x102c10000000, 0x1010102810000000,
+ 0x1010106f10101010, 0x102c10000000, 0x102810000000, 0x1010102810000000,
+ 0x1010106e10101010, 0x102c10000000, 0x102810000000, 0x1010106f10101000,
+ 0x1010106c10101010, 0x102810000000, 0x102810000000, 0x1010106e10101000,
+ 0x1010106c10101010, 0x102810000000, 0x102810000000, 0x1010106c10101000,
+ 0x1010106810101010, 0x102810000000, 0x106f10101010, 0x1010106c10101000,
+ 0x1010106810101010, 0x102810000000, 0x106e10101010, 0x1010106810101000,
+ 0x1010106810101010, 0x106f10101000, 0x106c10101010, 0x1010106810101000,
+ 0x1010106810101010, 0x106e10101000, 0x106c10101010, 0x1010106810101000,
+ 0x1010106f10000000, 0x106c10101000, 0x106810101010, 0x1010106810101000,
+ 0x1010106e10000000, 0x106c10101000, 0x106810101010, 0x1010106f10000000,
+ 0x1010106c10000000, 0x106810101000, 0x106810101010, 0x1010106e10000000,
+ 0x1010106c10000000, 0x106810101000, 0x106810101010, 0x1010106c10000000,
+ 0x1010106810000000, 0x106810101000, 0x106f10000000, 0x1010106c10000000,
+ 0x1010106810000000, 0x106810101000, 0x106e10000000, 0x1010106810000000,
+ 0x1010106810000000, 0x106f10000000, 0x106c10000000, 0x1010106810000000,
+ 0x1010106810000000, 0x106e10000000, 0x106c10000000, 0x1010106810000000,
+ 0x1010102f10101010, 0x106c10000000, 0x106810000000, 0x1010106810000000,
+ 0x1010102e10101010, 0x106c10000000, 0x106810000000, 0x1010102f10101000,
+ 0x1010102c10101010, 0x106810000000, 0x106810000000, 0x1010102e10101000,
+ 0x1010102c10101010, 0x106810000000, 0x106810000000, 0x1010102c10101000,
+ 0x1010102810101010, 0x106810000000, 0x102f10101010, 0x1010102c10101000,
+ 0x1010102810101010, 0x106810000000, 0x102e10101010, 0x1010102810101000,
+ 0x1010102810101010, 0x102f10101000, 0x102c10101010, 0x1010102810101000,
+ 0x1010102810101010, 0x102e10101000, 0x102c10101010, 0x1010102810101000,
+ 0x1010102f10000000, 0x102c10101000, 0x102810101010, 0x1010102810101000,
+ 0x1010102e10000000, 0x102c10101000, 0x102810101010, 0x1010102f10000000,
+ 0x1010102c10000000, 0x102810101000, 0x102810101010, 0x1010102e10000000,
+ 0x1010102c10000000, 0x102810101000, 0x102810101010, 0x1010102c10000000,
+ 0x1010102810000000, 0x102810101000, 0x102f10000000, 0x1010102c10000000,
+ 0x1010102810000000, 0x102810101000, 0x102e10000000, 0x1010102810000000,
+ 0x1010102810000000, 0x102f10000000, 0x102c10000000, 0x1010102810000000,
+ 0x1010102810000000, 0x102e10000000, 0x102c10000000, 0x1010102810000000,
+ 0x1010ef10100000, 0x102c10000000, 0x102810000000, 0x1010102810000000,
+ 0x1010ee10100000, 0x102c10000000, 0x102810000000, 0x1010ef10100000,
+ 0x1010ec10100000, 0x102810000000, 0x102810000000, 0x1010ee10100000,
+ 0x1010ec10100000, 0x102810000000, 0x102810000000, 0x1010ec10100000,
+ 0x1010e810100000, 0x102810000000, 0x10ef10100000, 0x1010ec10100000,
+ 0x1010e810100000, 0x102810000000, 0x10ee10100000, 0x1010e810100000,
+ 0x1010e810100000, 0x10ef10100000, 0x10ec10100000, 0x1010e810100000,
+ 0x1010e810100000, 0x10ee10100000, 0x10ec10100000, 0x1010e810100000,
+ 0x1010ef10000000, 0x10ec10100000, 0x10e810100000, 0x1010e810100000,
+ 0x1010ee10000000, 0x10ec10100000, 0x10e810100000, 0x1010ef10000000,
+ 0x1010ec10000000, 0x10e810100000, 0x10e810100000, 0x1010ee10000000,
+ 0x1010ec10000000, 0x10e810100000, 0x10e810100000, 0x1010ec10000000,
+ 0x1010e810000000, 0x10e810100000, 0x10ef10000000, 0x1010ec10000000,
+ 0x1010e810000000, 0x10e810100000, 0x10ee10000000, 0x1010e810000000,
+ 0x1010e810000000, 0x10ef10000000, 0x10ec10000000, 0x1010e810000000,
+ 0x1010e810000000, 0x10ee10000000, 0x10ec10000000, 0x1010e810000000,
+ 0x10102f10100000, 0x10ec10000000, 0x10e810000000, 0x1010e810000000,
+ 0x10102e10100000, 0x10ec10000000, 0x10e810000000, 0x10102f10100000,
+ 0x10102c10100000, 0x10e810000000, 0x10e810000000, 0x10102e10100000,
+ 0x10102c10100000, 0x10e810000000, 0x10e810000000, 0x10102c10100000,
+ 0x10102810100000, 0x10e810000000, 0x102f10100000, 0x10102c10100000,
+ 0x10102810100000, 0x10e810000000, 0x102e10100000, 0x10102810100000,
+ 0x10102810100000, 0x102f10100000, 0x102c10100000, 0x10102810100000,
+ 0x10102810100000, 0x102e10100000, 0x102c10100000, 0x10102810100000,
+ 0x10102f10000000, 0x102c10100000, 0x102810100000, 0x10102810100000,
+ 0x10102e10000000, 0x102c10100000, 0x102810100000, 0x10102f10000000,
+ 0x10102c10000000, 0x102810100000, 0x102810100000, 0x10102e10000000,
+ 0x10102c10000000, 0x102810100000, 0x102810100000, 0x10102c10000000,
+ 0x10102810000000, 0x102810100000, 0x102f10000000, 0x10102c10000000,
+ 0x10102810000000, 0x102810100000, 0x102e10000000, 0x10102810000000,
+ 0x10102810000000, 0x102f10000000, 0x102c10000000, 0x10102810000000,
+ 0x10102810000000, 0x102e10000000, 0x102c10000000, 0x10102810000000,
+ 0x10106f10100000, 0x102c10000000, 0x102810000000, 0x10102810000000,
+ 0x10106e10100000, 0x102c10000000, 0x102810000000, 0x10106f10100000,
+ 0x10106c10100000, 0x102810000000, 0x102810000000, 0x10106e10100000,
+ 0x10106c10100000, 0x102810000000, 0x102810000000, 0x10106c10100000,
+ 0x10106810100000, 0x102810000000, 0x106f10100000, 0x10106c10100000,
+ 0x10106810100000, 0x102810000000, 0x106e10100000, 0x10106810100000,
+ 0x10106810100000, 0x106f10100000, 0x106c10100000, 0x10106810100000,
+ 0x10106810100000, 0x106e10100000, 0x106c10100000, 0x10106810100000,
+ 0x10106f10000000, 0x106c10100000, 0x106810100000, 0x10106810100000,
+ 0x10106e10000000, 0x106c10100000, 0x106810100000, 0x10106f10000000,
+ 0x10106c10000000, 0x106810100000, 0x106810100000, 0x10106e10000000,
+ 0x10106c10000000, 0x106810100000, 0x106810100000, 0x10106c10000000,
+ 0x10106810000000, 0x106810100000, 0x106f10000000, 0x10106c10000000,
+ 0x10106810000000, 0x106810100000, 0x106e10000000, 0x10106810000000,
+ 0x10106810000000, 0x106f10000000, 0x106c10000000, 0x10106810000000,
+ 0x10106810000000, 0x106e10000000, 0x106c10000000, 0x10106810000000,
+ 0x10102f10100000, 0x106c10000000, 0x106810000000, 0x10106810000000,
+ 0x10102e10100000, 0x106c10000000, 0x106810000000, 0x10102f10100000,
+ 0x10102c10100000, 0x106810000000, 0x106810000000, 0x10102e10100000,
+ 0x10102c10100000, 0x106810000000, 0x106810000000, 0x10102c10100000,
+ 0x10102810100000, 0x106810000000, 0x102f10100000, 0x10102c10100000,
+ 0x10102810100000, 0x106810000000, 0x102e10100000, 0x10102810100000,
+ 0x10102810100000, 0x102f10100000, 0x102c10100000, 0x10102810100000,
+ 0x10102810100000, 0x102e10100000, 0x102c10100000, 0x10102810100000,
+ 0x10102f10000000, 0x102c10100000, 0x102810100000, 0x10102810100000,
+ 0x10102e10000000, 0x102c10100000, 0x102810100000, 0x10102f10000000,
+ 0x10102c10000000, 0x102810100000, 0x102810100000, 0x10102e10000000,
+ 0x10102c10000000, 0x102810100000, 0x102810100000, 0x10102c10000000,
+ 0x10102810000000, 0x102810100000, 0x102f10000000, 0x10102c10000000,
+ 0x10102810000000, 0x102810100000, 0x102e10000000, 0x10102810000000,
+ 0x10102810000000, 0x102f10000000, 0x102c10000000, 0x10102810000000,
+ 0x10102810000000, 0x102e10000000, 0x102c10000000, 0x10102810000000,
+ 0x1010ef10101010, 0x102c10000000, 0x102810000000, 0x10102810000000,
+ 0x1010ee10101010, 0x102c10000000, 0x102810000000, 0x1010ef10101000,
+ 0x1010ec10101010, 0x102810000000, 0x102810000000, 0x1010ee10101000,
+ 0x1010ec10101010, 0x102810000000, 0x102810000000, 0x1010ec10101000,
+ 0x1010e810101010, 0x102810000000, 0x10ef10101010, 0x1010ec10101000,
+ 0x1010e810101010, 0x102810000000, 0x10ee10101010, 0x1010e810101000,
+ 0x1010e810101010, 0x10ef10101000, 0x10ec10101010, 0x1010e810101000,
+ 0x1010e810101010, 0x10ee10101000, 0x10ec10101010, 0x1010e810101000,
+ 0x1010ef10000000, 0x10ec10101000, 0x10e810101010, 0x1010e810101000,
+ 0x1010ee10000000, 0x10ec10101000, 0x10e810101010, 0x1010ef10000000,
+ 0x1010ec10000000, 0x10e810101000, 0x10e810101010, 0x1010ee10000000,
+ 0x1010ec10000000, 0x10e810101000, 0x10e810101010, 0x1010ec10000000,
+ 0x1010e810000000, 0x10e810101000, 0x10ef10000000, 0x1010ec10000000,
+ 0x1010e810000000, 0x10e810101000, 0x10ee10000000, 0x1010e810000000,
+ 0x1010e810000000, 0x10ef10000000, 0x10ec10000000, 0x1010e810000000,
+ 0x1010e810000000, 0x10ee10000000, 0x10ec10000000, 0x1010e810000000,
+ 0x10102f10101010, 0x10ec10000000, 0x10e810000000, 0x1010e810000000,
+ 0x10102e10101010, 0x10ec10000000, 0x10e810000000, 0x10102f10101000,
+ 0x10102c10101010, 0x10e810000000, 0x10e810000000, 0x10102e10101000,
+ 0x10102c10101010, 0x10e810000000, 0x10e810000000, 0x10102c10101000,
+ 0x10102810101010, 0x10e810000000, 0x102f10101010, 0x10102c10101000,
+ 0x10102810101010, 0x10e810000000, 0x102e10101010, 0x10102810101000,
+ 0x10102810101010, 0x102f10101000, 0x102c10101010, 0x10102810101000,
+ 0x10102810101010, 0x102e10101000, 0x102c10101010, 0x10102810101000,
+ 0x10102f10000000, 0x102c10101000, 0x102810101010, 0x10102810101000,
+ 0x10102e10000000, 0x102c10101000, 0x102810101010, 0x10102f10000000,
+ 0x10102c10000000, 0x102810101000, 0x102810101010, 0x10102e10000000,
+ 0x10102c10000000, 0x102810101000, 0x102810101010, 0x10102c10000000,
+ 0x10102810000000, 0x102810101000, 0x102f10000000, 0x10102c10000000,
+ 0x10102810000000, 0x102810101000, 0x102e10000000, 0x10102810000000,
+ 0x10102810000000, 0x102f10000000, 0x102c10000000, 0x10102810000000,
+ 0x10102810000000, 0x102e10000000, 0x102c10000000, 0x10102810000000,
+ 0x10106f10101010, 0x102c10000000, 0x102810000000, 0x10102810000000,
+ 0x10106e10101010, 0x102c10000000, 0x102810000000, 0x10106f10101000,
+ 0x10106c10101010, 0x102810000000, 0x102810000000, 0x10106e10101000,
+ 0x10106c10101010, 0x102810000000, 0x102810000000, 0x10106c10101000,
+ 0x10106810101010, 0x102810000000, 0x106f10101010, 0x10106c10101000,
+ 0x10106810101010, 0x102810000000, 0x106e10101010, 0x10106810101000,
+ 0x10106810101010, 0x106f10101000, 0x106c10101010, 0x10106810101000,
+ 0x10106810101010, 0x106e10101000, 0x106c10101010, 0x10106810101000,
+ 0x10106f10000000, 0x106c10101000, 0x106810101010, 0x10106810101000,
+ 0x10106e10000000, 0x106c10101000, 0x106810101010, 0x10106f10000000,
+ 0x10106c10000000, 0x106810101000, 0x106810101010, 0x10106e10000000,
+ 0x10106c10000000, 0x106810101000, 0x106810101010, 0x10106c10000000,
+ 0x10106810000000, 0x106810101000, 0x106f10000000, 0x10106c10000000,
+ 0x10106810000000, 0x106810101000, 0x106e10000000, 0x10106810000000,
+ 0x10106810000000, 0x106f10000000, 0x106c10000000, 0x10106810000000,
+ 0x10106810000000, 0x106e10000000, 0x106c10000000, 0x10106810000000,
+ 0x10102f10101010, 0x106c10000000, 0x106810000000, 0x10106810000000,
+ 0x10102e10101010, 0x106c10000000, 0x106810000000, 0x10102f10101000,
+ 0x10102c10101010, 0x106810000000, 0x106810000000, 0x10102e10101000,
+ 0x10102c10101010, 0x106810000000, 0x106810000000, 0x10102c10101000,
+ 0x10102810101010, 0x106810000000, 0x102f10101010, 0x10102c10101000,
+ 0x10102810101010, 0x106810000000, 0x102e10101010, 0x10102810101000,
+ 0x10102810101010, 0x102f10101000, 0x102c10101010, 0x10102810101000,
+ 0x10102810101010, 0x102e10101000, 0x102c10101010, 0x10102810101000,
+ 0x10102f10000000, 0x102c10101000, 0x102810101010, 0x10102810101000,
+ 0x10102e10000000, 0x102c10101000, 0x102810101010, 0x10102f10000000,
+ 0x10102c10000000, 0x102810101000, 0x102810101010, 0x10102e10000000,
+ 0x10102c10000000, 0x102810101000, 0x102810101010, 0x10102c10000000,
+ 0x10102810000000, 0x102810101000, 0x102f10000000, 0x10102c10000000,
+ 0x10102810000000, 0x102810101000, 0x102e10000000, 0x10102810000000,
+ 0x10102810000000, 0x102f10000000, 0x102c10000000, 0x10102810000000,
+ 0x10102810000000, 0x102e10000000, 0x102c10000000, 0x10102810000000,
+ 0x101010ef10100000, 0x102c10000000, 0x102810000000, 0x10102810000000,
+ 0x101010ee10100000, 0x102c10000000, 0x102810000000, 0x101010ef10100000,
+ 0x101010ec10100000, 0x102810000000, 0x102810000000, 0x101010ee10100000,
+ 0x101010ec10100000, 0x102810000000, 0x102810000000, 0x101010ec10100000,
+ 0x101010e810100000, 0x102810000000, 0x10ef10100000, 0x101010ec10100000,
+ 0x101010e810100000, 0x102810000000, 0x10ee10100000, 0x101010e810100000,
+ 0x101010e810100000, 0x10ef10100000, 0x10ec10100000, 0x101010e810100000,
+ 0x101010e810100000, 0x10ee10100000, 0x10ec10100000, 0x101010e810100000,
+ 0x101010ef10000000, 0x10ec10100000, 0x10e810100000, 0x101010e810100000,
+ 0x101010ee10000000, 0x10ec10100000, 0x10e810100000, 0x101010ef10000000,
+ 0x101010ec10000000, 0x10e810100000, 0x10e810100000, 0x101010ee10000000,
+ 0x101010ec10000000, 0x10e810100000, 0x10e810100000, 0x101010ec10000000,
+ 0x101010e810000000, 0x10e810100000, 0x10ef10000000, 0x101010ec10000000,
+ 0x101010e810000000, 0x10e810100000, 0x10ee10000000, 0x101010e810000000,
+ 0x101010e810000000, 0x10ef10000000, 0x10ec10000000, 0x101010e810000000,
+ 0x101010e810000000, 0x10ee10000000, 0x10ec10000000, 0x101010e810000000,
+ 0x1010102f10100000, 0x10ec10000000, 0x10e810000000, 0x101010e810000000,
+ 0x1010102e10100000, 0x10ec10000000, 0x10e810000000, 0x1010102f10100000,
+ 0x1010102c10100000, 0x10e810000000, 0x10e810000000, 0x1010102e10100000,
+ 0x1010102c10100000, 0x10e810000000, 0x10e810000000, 0x1010102c10100000,
+ 0x1010102810100000, 0x10e810000000, 0x102f10100000, 0x1010102c10100000,
+ 0x1010102810100000, 0x10e810000000, 0x102e10100000, 0x1010102810100000,
+ 0x1010102810100000, 0x102f10100000, 0x102c10100000, 0x1010102810100000,
+ 0x1010102810100000, 0x102e10100000, 0x102c10100000, 0x1010102810100000,
+ 0x1010102f10000000, 0x102c10100000, 0x102810100000, 0x1010102810100000,
+ 0x1010102e10000000, 0x102c10100000, 0x102810100000, 0x1010102f10000000,
+ 0x1010102c10000000, 0x102810100000, 0x102810100000, 0x1010102e10000000,
+ 0x1010102c10000000, 0x102810100000, 0x102810100000, 0x1010102c10000000,
+ 0x1010102810000000, 0x102810100000, 0x102f10000000, 0x1010102c10000000,
+ 0x1010102810000000, 0x102810100000, 0x102e10000000, 0x1010102810000000,
+ 0x1010102810000000, 0x102f10000000, 0x102c10000000, 0x1010102810000000,
+ 0x1010102810000000, 0x102e10000000, 0x102c10000000, 0x1010102810000000,
+ 0x1010106f10100000, 0x102c10000000, 0x102810000000, 0x1010102810000000,
+ 0x1010106e10100000, 0x102c10000000, 0x102810000000, 0x1010106f10100000,
+ 0x1010106c10100000, 0x102810000000, 0x102810000000, 0x1010106e10100000,
+ 0x1010106c10100000, 0x102810000000, 0x102810000000, 0x1010106c10100000,
+ 0x1010106810100000, 0x102810000000, 0x106f10100000, 0x1010106c10100000,
+ 0x1010106810100000, 0x102810000000, 0x106e10100000, 0x1010106810100000,
+ 0x1010106810100000, 0x106f10100000, 0x106c10100000, 0x1010106810100000,
+ 0x1010106810100000, 0x106e10100000, 0x106c10100000, 0x1010106810100000,
+ 0x1010106f10000000, 0x106c10100000, 0x106810100000, 0x1010106810100000,
+ 0x1010106e10000000, 0x106c10100000, 0x106810100000, 0x1010106f10000000,
+ 0x1010106c10000000, 0x106810100000, 0x106810100000, 0x1010106e10000000,
+ 0x1010106c10000000, 0x106810100000, 0x106810100000, 0x1010106c10000000,
+ 0x1010106810000000, 0x106810100000, 0x106f10000000, 0x1010106c10000000,
+ 0x1010106810000000, 0x106810100000, 0x106e10000000, 0x1010106810000000,
+ 0x1010106810000000, 0x106f10000000, 0x106c10000000, 0x1010106810000000,
+ 0x1010106810000000, 0x106e10000000, 0x106c10000000, 0x1010106810000000,
+ 0x1010102f10100000, 0x106c10000000, 0x106810000000, 0x1010106810000000,
+ 0x1010102e10100000, 0x106c10000000, 0x106810000000, 0x1010102f10100000,
+ 0x1010102c10100000, 0x106810000000, 0x106810000000, 0x1010102e10100000,
+ 0x1010102c10100000, 0x106810000000, 0x106810000000, 0x1010102c10100000,
+ 0x1010102810100000, 0x106810000000, 0x102f10100000, 0x1010102c10100000,
+ 0x1010102810100000, 0x106810000000, 0x102e10100000, 0x1010102810100000,
+ 0x1010102810100000, 0x102f10100000, 0x102c10100000, 0x1010102810100000,
+ 0x1010102810100000, 0x102e10100000, 0x102c10100000, 0x1010102810100000,
+ 0x1010102f10000000, 0x102c10100000, 0x102810100000, 0x1010102810100000,
+ 0x1010102e10000000, 0x102c10100000, 0x102810100000, 0x1010102f10000000,
+ 0x1010102c10000000, 0x102810100000, 0x102810100000, 0x1010102e10000000,
+ 0x1010102c10000000, 0x102810100000, 0x102810100000, 0x1010102c10000000,
+ 0x1010102810000000, 0x102810100000, 0x102f10000000, 0x1010102c10000000,
+ 0x1010102810000000, 0x102810100000, 0x102e10000000, 0x1010102810000000,
+ 0x1010102810000000, 0x102f10000000, 0x102c10000000, 0x1010102810000000,
+ 0x1010102810000000, 0x102e10000000, 0x102c10000000, 0x1010102810000000,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
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+ 0x202020d020000000, 0x20d820000000, 0x202020d020000000, 0x20d820000000,
+ 0x202020d020000000, 0x20d020000000, 0x202020d020000000, 0x20d020000000,
+ 0x202020d020000000, 0x20d020000000, 0x202020d020000000, 0x20d020000000,
+ 0x202020d020000000, 0x20d020000000, 0x202020d020000000, 0x20d020000000,
+ 0x202020d020000000, 0x20d020000000, 0x202020d020000000, 0x20d020000000,
+ 0x2020205f20200000, 0x20d020000000, 0x2020205f20200000, 0x20d020000000,
+ 0x2020205e20200000, 0x20d020000000, 0x2020205e20200000, 0x20d020000000,
+ 0x2020205c20200000, 0x20d020000000, 0x2020205c20200000, 0x20d020000000,
+ 0x2020205c20200000, 0x20d020000000, 0x2020205c20200000, 0x20d020000000,
+ 0x2020205820200000, 0x205f20200000, 0x2020205820200000, 0x205f20200000,
+ 0x2020205820200000, 0x205e20200000, 0x2020205820200000, 0x205e20200000,
+ 0x2020205820200000, 0x205c20200000, 0x2020205820200000, 0x205c20200000,
+ 0x2020205820200000, 0x205c20200000, 0x2020205820200000, 0x205c20200000,
+ 0x2020205020200000, 0x205820200000, 0x2020205020200000, 0x205820200000,
+ 0x2020205020200000, 0x205820200000, 0x2020205020200000, 0x205820200000,
+ 0x2020205020200000, 0x205820200000, 0x2020205020200000, 0x205820200000,
+ 0x2020205020200000, 0x205820200000, 0x2020205020200000, 0x205820200000,
+ 0x2020205020200000, 0x205020200000, 0x2020205020200000, 0x205020200000,
+ 0x2020205020200000, 0x205020200000, 0x2020205020200000, 0x205020200000,
+ 0x2020205020200000, 0x205020200000, 0x2020205020200000, 0x205020200000,
+ 0x2020205020200000, 0x205020200000, 0x2020205020200000, 0x205020200000,
+ 0x2020205f20000000, 0x205020200000, 0x2020205f20000000, 0x205020200000,
+ 0x2020205e20000000, 0x205020200000, 0x2020205e20000000, 0x205020200000,
+ 0x2020205c20000000, 0x205020200000, 0x2020205c20000000, 0x205020200000,
+ 0x2020205c20000000, 0x205020200000, 0x2020205c20000000, 0x205020200000,
+ 0x2020205820000000, 0x205f20000000, 0x2020205820000000, 0x205f20000000,
+ 0x2020205820000000, 0x205e20000000, 0x2020205820000000, 0x205e20000000,
+ 0x2020205820000000, 0x205c20000000, 0x2020205820000000, 0x205c20000000,
+ 0x2020205820000000, 0x205c20000000, 0x2020205820000000, 0x205c20000000,
+ 0x2020205020000000, 0x205820000000, 0x2020205020000000, 0x205820000000,
+ 0x2020205020000000, 0x205820000000, 0x2020205020000000, 0x205820000000,
+ 0x2020205020000000, 0x205820000000, 0x2020205020000000, 0x205820000000,
+ 0x2020205020000000, 0x205820000000, 0x2020205020000000, 0x205820000000,
+ 0x2020205020000000, 0x205020000000, 0x2020205020000000, 0x205020000000,
+ 0x2020205020000000, 0x205020000000, 0x2020205020000000, 0x205020000000,
+ 0x2020205020000000, 0x205020000000, 0x2020205020000000, 0x205020000000,
+ 0x2020205020000000, 0x205020000000, 0x2020205020000000, 0x205020000000,
+ 0x2020df20200000, 0x205020000000, 0x2020df20200000, 0x205020000000,
+ 0x2020de20200000, 0x205020000000, 0x2020de20200000, 0x205020000000,
+ 0x2020dc20200000, 0x205020000000, 0x2020dc20200000, 0x205020000000,
+ 0x2020dc20200000, 0x205020000000, 0x2020dc20200000, 0x205020000000,
+ 0x2020d820200000, 0x20df20200000, 0x2020d820200000, 0x20df20200000,
+ 0x2020d820200000, 0x20de20200000, 0x2020d820200000, 0x20de20200000,
+ 0x2020d820200000, 0x20dc20200000, 0x2020d820200000, 0x20dc20200000,
+ 0x2020d820200000, 0x20dc20200000, 0x2020d820200000, 0x20dc20200000,
+ 0x2020d020200000, 0x20d820200000, 0x2020d020200000, 0x20d820200000,
+ 0x2020d020200000, 0x20d820200000, 0x2020d020200000, 0x20d820200000,
+ 0x2020d020200000, 0x20d820200000, 0x2020d020200000, 0x20d820200000,
+ 0x2020d020200000, 0x20d820200000, 0x2020d020200000, 0x20d820200000,
+ 0x2020d020200000, 0x20d020200000, 0x2020d020200000, 0x20d020200000,
+ 0x2020d020200000, 0x20d020200000, 0x2020d020200000, 0x20d020200000,
+ 0x2020d020200000, 0x20d020200000, 0x2020d020200000, 0x20d020200000,
+ 0x2020d020200000, 0x20d020200000, 0x2020d020200000, 0x20d020200000,
+ 0x2020df20000000, 0x20d020200000, 0x2020df20000000, 0x20d020200000,
+ 0x2020de20000000, 0x20d020200000, 0x2020de20000000, 0x20d020200000,
+ 0x2020dc20000000, 0x20d020200000, 0x2020dc20000000, 0x20d020200000,
+ 0x2020dc20000000, 0x20d020200000, 0x2020dc20000000, 0x20d020200000,
+ 0x2020d820000000, 0x20df20000000, 0x2020d820000000, 0x20df20000000,
+ 0x2020d820000000, 0x20de20000000, 0x2020d820000000, 0x20de20000000,
+ 0x2020d820000000, 0x20dc20000000, 0x2020d820000000, 0x20dc20000000,
+ 0x2020d820000000, 0x20dc20000000, 0x2020d820000000, 0x20dc20000000,
+ 0x2020d020000000, 0x20d820000000, 0x2020d020000000, 0x20d820000000,
+ 0x2020d020000000, 0x20d820000000, 0x2020d020000000, 0x20d820000000,
+ 0x2020d020000000, 0x20d820000000, 0x2020d020000000, 0x20d820000000,
+ 0x2020d020000000, 0x20d820000000, 0x2020d020000000, 0x20d820000000,
+ 0x2020d020000000, 0x20d020000000, 0x2020d020000000, 0x20d020000000,
+ 0x2020d020000000, 0x20d020000000, 0x2020d020000000, 0x20d020000000,
+ 0x2020d020000000, 0x20d020000000, 0x2020d020000000, 0x20d020000000,
+ 0x2020d020000000, 0x20d020000000, 0x2020d020000000, 0x20d020000000,
+ 0x20205f20200000, 0x20d020000000, 0x20205f20200000, 0x20d020000000,
+ 0x20205e20200000, 0x20d020000000, 0x20205e20200000, 0x20d020000000,
+ 0x20205c20200000, 0x20d020000000, 0x20205c20200000, 0x20d020000000,
+ 0x20205c20200000, 0x20d020000000, 0x20205c20200000, 0x20d020000000,
+ 0x20205820200000, 0x205f20200000, 0x20205820200000, 0x205f20200000,
+ 0x20205820200000, 0x205e20200000, 0x20205820200000, 0x205e20200000,
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+ 0x20205820200000, 0x205c20200000, 0x20205820200000, 0x205c20200000,
+ 0x20205020200000, 0x205820200000, 0x20205020200000, 0x205820200000,
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+ 0x20205020200000, 0x205020200000, 0x20205020200000, 0x205020200000,
+ 0x20205f20000000, 0x205020200000, 0x20205f20000000, 0x205020200000,
+ 0x20205e20000000, 0x205020200000, 0x20205e20000000, 0x205020200000,
+ 0x20205c20000000, 0x205020200000, 0x20205c20000000, 0x205020200000,
+ 0x20205c20000000, 0x205020200000, 0x20205c20000000, 0x205020200000,
+ 0x20205820000000, 0x205f20000000, 0x20205820000000, 0x205f20000000,
+ 0x20205820000000, 0x205e20000000, 0x20205820000000, 0x205e20000000,
+ 0x20205820000000, 0x205c20000000, 0x20205820000000, 0x205c20000000,
+ 0x20205820000000, 0x205c20000000, 0x20205820000000, 0x205c20000000,
+ 0x20205020000000, 0x205820000000, 0x20205020000000, 0x205820000000,
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+ 0x20205020000000, 0x205820000000, 0x20205020000000, 0x205820000000,
+ 0x20205020000000, 0x205820000000, 0x20205020000000, 0x205820000000,
+ 0x20205020000000, 0x205020000000, 0x20205020000000, 0x205020000000,
+ 0x20205020000000, 0x205020000000, 0x20205020000000, 0x205020000000,
+ 0x20205020000000, 0x205020000000, 0x20205020000000, 0x205020000000,
+ 0x20205020000000, 0x205020000000, 0x20205020000000, 0x205020000000,
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+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ },
+ .{
+ 0x404040bf40404040, 0x4040a040404040, 0x404040bf40400000, 0x4040a040400000,
+ 0x404040a040000000, 0x4040b040000000, 0x404040a040000000, 0x4040b040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40bc40000000, 0x40bc40000000, 0x40bc40000000, 0x40bc40000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b840000000, 0x404040b040000000, 0x4040b840000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040be40404040, 0x4040bf40404040, 0x404040be40400000, 0x4040bf40400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b840000000, 0x40bc40000000, 0x40b840000000, 0x40bc40000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040bc40404040, 0x4040be40404040, 0x404040bc40400000, 0x4040be40400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b840000000, 0x40b840000000, 0x40b840000000, 0x40b840000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040bc40404040, 0x4040bc40404040, 0x404040bc40400000, 0x4040bc40400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b840000000, 0x40b840000000, 0x40b840000000, 0x40b840000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040b840404040, 0x4040bc40404040, 0x404040b840400000, 0x4040bc40400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b840000000, 0x40b840000000, 0x40b840000000, 0x40b840000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40bf40404040, 0x40a040404040, 0x40bf40400000, 0x40a040400000,
+ 0x40a040000000, 0x40b040000000, 0x40a040000000, 0x40b040000000,
+ 0x404040b840404040, 0x4040b840404040, 0x404040b840400000, 0x4040b840400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b840000000, 0x40b040000000, 0x40b840000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40be40404040, 0x40bf40404040, 0x40be40400000, 0x40bf40400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b840404040, 0x4040b840404040, 0x404040b840400000, 0x4040b840400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40bc40404040, 0x40be40404040, 0x40bc40400000, 0x40be40400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b840404040, 0x4040b840404040, 0x404040b840400000, 0x4040b840400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40bc40404040, 0x40bc40404040, 0x40bc40400000, 0x40bc40400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404040, 0x4040b840404040, 0x404040b040400000, 0x4040b840400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040bf40404000, 0x4040a040404000, 0x404040bf40400000, 0x4040a040400000,
+ 0x404040a040000000, 0x4040b040000000, 0x404040a040000000, 0x4040b040000000,
+ 0x40b840404040, 0x40bc40404040, 0x40b840400000, 0x40bc40400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404040, 0x4040b040404040, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040be40404000, 0x4040bf40404000, 0x404040be40400000, 0x4040bf40400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b840404040, 0x40b840404040, 0x40b840400000, 0x40b840400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404040, 0x4040b040404040, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040bc40404000, 0x4040be40404000, 0x404040bc40400000, 0x4040be40400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b840404040, 0x40b840404040, 0x40b840400000, 0x40b840400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404040, 0x4040b040404040, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040bc40404000, 0x4040bc40404000, 0x404040bc40400000, 0x4040bc40400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b840404040, 0x40b840404040, 0x40b840400000, 0x40b840400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404040, 0x4040b040404040, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040b840404000, 0x4040bc40404000, 0x404040b840400000, 0x4040bc40400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b040404040, 0x40b840404040, 0x40b040400000, 0x40b840400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404040, 0x4040b040404040, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40bf40404000, 0x40a040404000, 0x40bf40400000, 0x40a040400000,
+ 0x40a040000000, 0x40b040000000, 0x40a040000000, 0x40b040000000,
+ 0x404040b840404000, 0x4040b840404000, 0x404040b840400000, 0x4040b840400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b040404040, 0x40b040404040, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404040, 0x4040b040404040, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40be40404000, 0x40bf40404000, 0x40be40400000, 0x40bf40400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b840404000, 0x4040b840404000, 0x404040b840400000, 0x4040b840400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b040404040, 0x40b040404040, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404040, 0x4040b040404040, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40bc40404000, 0x40be40404000, 0x40bc40400000, 0x40be40400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b840404000, 0x4040b840404000, 0x404040b840400000, 0x4040b840400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b040404040, 0x40b040404040, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404040, 0x4040b040404040, 0x404040a040400000, 0x4040b040400000,
+ 0x404040bf40000000, 0x4040a040000000, 0x404040bf40000000, 0x4040a040000000,
+ 0x40bc40404000, 0x40bc40404000, 0x40bc40400000, 0x40bc40400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404000, 0x4040b840404000, 0x404040b040400000, 0x4040b840400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b040404040, 0x40b040404040, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040be40000000, 0x4040bf40000000, 0x404040be40000000, 0x4040bf40000000,
+ 0x40b840404000, 0x40bc40404000, 0x40b840400000, 0x40bc40400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404000, 0x4040b040404000, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b040404040, 0x40b040404040, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040bc40000000, 0x4040be40000000, 0x404040bc40000000, 0x4040be40000000,
+ 0x40b840404000, 0x40b840404000, 0x40b840400000, 0x40b840400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404000, 0x4040b040404000, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b040404040, 0x40b040404040, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040bc40000000, 0x4040bc40000000, 0x404040bc40000000, 0x4040bc40000000,
+ 0x40b840404000, 0x40b840404000, 0x40b840400000, 0x40b840400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404000, 0x4040b040404000, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40b040404040, 0x40b040404040, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b840000000, 0x4040bc40000000, 0x404040b840000000, 0x4040bc40000000,
+ 0x40b840404000, 0x40b840404000, 0x40b840400000, 0x40b840400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404000, 0x4040b040404000, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404040, 0x40b040404040, 0x40a040400000, 0x40b040400000,
+ 0x40bf40000000, 0x40a040000000, 0x40bf40000000, 0x40a040000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b840000000, 0x4040b840000000, 0x404040b840000000, 0x4040b840000000,
+ 0x40b040404000, 0x40b840404000, 0x40b040400000, 0x40b840400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404000, 0x4040b040404000, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40be40000000, 0x40bf40000000, 0x40be40000000, 0x40bf40000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b840000000, 0x4040b840000000, 0x404040b840000000, 0x4040b840000000,
+ 0x40b040404000, 0x40b040404000, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404000, 0x4040b040404000, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40bc40000000, 0x40be40000000, 0x40bc40000000, 0x40be40000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b840000000, 0x4040b840000000, 0x404040b840000000, 0x4040b840000000,
+ 0x40b040404000, 0x40b040404000, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040b040404000, 0x4040b040404000, 0x404040b040400000, 0x4040b040400000,
+ 0x404040a040000000, 0x4040a040000000, 0x404040a040000000, 0x4040a040000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40bc40000000, 0x40bc40000000, 0x40bc40000000, 0x40bc40000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b840000000, 0x404040b040000000, 0x4040b840000000,
+ 0x40b040404000, 0x40b040404000, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404000, 0x4040b040404000, 0x404040a040400000, 0x4040b040400000,
+ 0x404040bf40000000, 0x4040a040000000, 0x404040bf40000000, 0x4040a040000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b840000000, 0x40bc40000000, 0x40b840000000, 0x40bc40000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40b040404000, 0x40b040404000, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040be40000000, 0x4040bf40000000, 0x404040be40000000, 0x4040bf40000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b840000000, 0x40b840000000, 0x40b840000000, 0x40b840000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40b040404000, 0x40b040404000, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040bc40000000, 0x4040be40000000, 0x404040bc40000000, 0x4040be40000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b840000000, 0x40b840000000, 0x40b840000000, 0x40b840000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40b040404000, 0x40b040404000, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040bc40000000, 0x4040bc40000000, 0x404040bc40000000, 0x4040bc40000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b840000000, 0x40b840000000, 0x40b840000000, 0x40b840000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40b040404000, 0x40b040404000, 0x40b040400000, 0x40b040400000,
+ 0x40a040000000, 0x40a040000000, 0x40a040000000, 0x40a040000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b840000000, 0x4040bc40000000, 0x404040b840000000, 0x4040bc40000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b840000000, 0x40b040000000, 0x40b840000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40a040404000, 0x40b040404000, 0x40a040400000, 0x40b040400000,
+ 0x40bf40000000, 0x40a040000000, 0x40bf40000000, 0x40a040000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b840000000, 0x4040b840000000, 0x404040b840000000, 0x4040b840000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40be40000000, 0x40bf40000000, 0x40be40000000, 0x40bf40000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b840000000, 0x4040b840000000, 0x404040b840000000, 0x4040b840000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x404040a040404040, 0x4040a040404040, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b040000000, 0x4040b040000000, 0x404040b040000000, 0x4040b040000000,
+ 0x40a040404000, 0x40a040404000, 0x40a040400000, 0x40a040400000,
+ 0x40bc40000000, 0x40be40000000, 0x40bc40000000, 0x40be40000000,
+ 0x404040a040404000, 0x4040a040404000, 0x404040a040400000, 0x4040a040400000,
+ 0x404040b840000000, 0x4040b840000000, 0x404040b840000000, 0x4040b840000000,
+ 0x40a040404040, 0x40a040404040, 0x40a040400000, 0x40a040400000,
+ 0x40b040000000, 0x40b040000000, 0x40b040000000, 0x40b040000000,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
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+ .{
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+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807f80000000, 0x8080804080000000, 0x807f80000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080804080800000, 0x8080807f80808000, 0x804080800000, 0x807f80808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080804080000000, 0x8080807f80000000, 0x804080000000, 0x807f80000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807e80808080, 0x8080804080800000, 0x807e80808080, 0x804080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807e80000000, 0x8080804080000000, 0x807e80000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080804080800000, 0x8080807e80808000, 0x804080800000, 0x807e80808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080804080000000, 0x8080807e80000000, 0x804080000000, 0x807e80000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807c80808080, 0x8080804080800000, 0x807c80808080, 0x804080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807c80000000, 0x8080804080000000, 0x807c80000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080804080800000, 0x8080807c80808000, 0x804080800000, 0x807c80808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080804080000000, 0x8080807c80000000, 0x804080000000, 0x807c80000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807c80808080, 0x8080804080800000, 0x807c80808080, 0x804080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807c80000000, 0x8080804080000000, 0x807c80000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080804080800000, 0x8080807c80808000, 0x804080800000, 0x807c80808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080804080000000, 0x8080807c80000000, 0x804080000000, 0x807c80000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807880808080, 0x8080804080800000, 0x807880808080, 0x804080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807880000000, 0x8080804080000000, 0x807880000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080804080800000, 0x8080807880808000, 0x804080800000, 0x807880808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080804080000000, 0x8080807880000000, 0x804080000000, 0x807880000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807880808080, 0x8080804080800000, 0x807880808080, 0x804080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807880000000, 0x8080804080000000, 0x807880000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080804080800000, 0x8080807880808000, 0x804080800000, 0x807880808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080804080000000, 0x8080807880000000, 0x804080000000, 0x807880000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807880808080, 0x8080804080800000, 0x807880808080, 0x804080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807880000000, 0x8080804080000000, 0x807880000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080804080800000, 0x8080807880808000, 0x804080800000, 0x807880808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080804080000000, 0x8080807880000000, 0x804080000000, 0x807880000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807880808080, 0x8080804080800000, 0x807880808080, 0x804080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807880000000, 0x8080804080000000, 0x807880000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080804080800000, 0x8080807880808000, 0x804080800000, 0x807880808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080804080000000, 0x8080807880000000, 0x804080000000, 0x807880000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080808080, 0x8080804080800000, 0x807080808080, 0x804080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807080000000, 0x8080804080000000, 0x807080000000, 0x804080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807f80800000, 0x8080807080808000, 0x807f80800000, 0x807080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807f80000000, 0x8080807080000000, 0x807f80000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080808080, 0x8080807f80800000, 0x807080808080, 0x807f80800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807080000000, 0x8080807f80000000, 0x807080000000, 0x807f80000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807e80800000, 0x8080807080808000, 0x807e80800000, 0x807080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807e80000000, 0x8080807080000000, 0x807e80000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080808080, 0x8080807e80800000, 0x807080808080, 0x807e80800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807080000000, 0x8080807e80000000, 0x807080000000, 0x807e80000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807c80800000, 0x8080807080808000, 0x807c80800000, 0x807080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807c80000000, 0x8080807080000000, 0x807c80000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080808080, 0x8080807c80800000, 0x807080808080, 0x807c80800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807080000000, 0x8080807c80000000, 0x807080000000, 0x807c80000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807c80800000, 0x8080807080808000, 0x807c80800000, 0x807080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807c80000000, 0x8080807080000000, 0x807c80000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080808080, 0x8080807c80800000, 0x807080808080, 0x807c80800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807080000000, 0x8080807c80000000, 0x807080000000, 0x807c80000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807880800000, 0x8080807080808000, 0x807880800000, 0x807080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807880000000, 0x8080807080000000, 0x807880000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080808080, 0x8080807880800000, 0x807080808080, 0x807880800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807080000000, 0x8080807880000000, 0x807080000000, 0x807880000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807880800000, 0x8080807080808000, 0x807880800000, 0x807080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807880000000, 0x8080807080000000, 0x807880000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080808080, 0x8080807880800000, 0x807080808080, 0x807880800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807080000000, 0x8080807880000000, 0x807080000000, 0x807880000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807880800000, 0x8080807080808000, 0x807880800000, 0x807080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807880000000, 0x8080807080000000, 0x807880000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080808080, 0x8080807880800000, 0x807080808080, 0x807880800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080807080000000, 0x8080807880000000, 0x807080000000, 0x807880000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807880800000, 0x8080807080808000, 0x807880800000, 0x807080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807880000000, 0x8080807080000000, 0x807880000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080806080808080, 0x8080807880800000, 0x806080808080, 0x807880800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807880000000, 0x806080000000, 0x807880000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080800000, 0x8080806080808000, 0x807080800000, 0x806080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807080000000, 0x8080806080000000, 0x807080000000, 0x806080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080806080808080, 0x8080807080800000, 0x806080808080, 0x807080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807080000000, 0x806080000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080800000, 0x8080806080808000, 0x807080800000, 0x806080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807080000000, 0x8080806080000000, 0x807080000000, 0x806080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080806080808080, 0x8080807080800000, 0x806080808080, 0x807080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807080000000, 0x806080000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080800000, 0x8080806080808000, 0x807080800000, 0x806080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807080000000, 0x8080806080000000, 0x807080000000, 0x806080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080806080808080, 0x8080807080800000, 0x806080808080, 0x807080800000,
+ 0x80804080808080, 0x80804080800000, 0x804080808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807080000000, 0x806080000000, 0x807080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080807080800000, 0x8080806080808000, 0x807080800000, 0x806080808000,
+ 0x80804080800000, 0x80804080808000, 0x804080800000, 0x804080808000,
+ 0x8080807080000000, 0x8080806080000000, 0x807080000000, 0x806080000000,
+ 0x80804080000000, 0x80804080000000, 0x804080000000, 0x804080000000,
+ 0x8080806080808080, 0x8080807080800000, 0x806080808080, 0x807080800000,
+ 0x80807f80808080, 0x80804080800000, 0x807f80808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807080000000, 0x806080000000, 0x807080000000,
+ 0x80807f80000000, 0x80804080000000, 0x807f80000000, 0x804080000000,
+ 0x8080807080800000, 0x8080806080808000, 0x807080800000, 0x806080808000,
+ 0x80804080800000, 0x80807f80808000, 0x804080800000, 0x807f80808000,
+ 0x8080807080000000, 0x8080806080000000, 0x807080000000, 0x806080000000,
+ 0x80804080000000, 0x80807f80000000, 0x804080000000, 0x807f80000000,
+ 0x8080806080808080, 0x8080807080800000, 0x806080808080, 0x807080800000,
+ 0x80807e80808080, 0x80804080800000, 0x807e80808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807080000000, 0x806080000000, 0x807080000000,
+ 0x80807e80000000, 0x80804080000000, 0x807e80000000, 0x804080000000,
+ 0x8080807080800000, 0x8080806080808000, 0x807080800000, 0x806080808000,
+ 0x80804080800000, 0x80807e80808000, 0x804080800000, 0x807e80808000,
+ 0x8080807080000000, 0x8080806080000000, 0x807080000000, 0x806080000000,
+ 0x80804080000000, 0x80807e80000000, 0x804080000000, 0x807e80000000,
+ 0x8080806080808080, 0x8080807080800000, 0x806080808080, 0x807080800000,
+ 0x80807c80808080, 0x80804080800000, 0x807c80808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807080000000, 0x806080000000, 0x807080000000,
+ 0x80807c80000000, 0x80804080000000, 0x807c80000000, 0x804080000000,
+ 0x8080807080800000, 0x8080806080808000, 0x807080800000, 0x806080808000,
+ 0x80804080800000, 0x80807c80808000, 0x804080800000, 0x807c80808000,
+ 0x8080807080000000, 0x8080806080000000, 0x807080000000, 0x806080000000,
+ 0x80804080000000, 0x80807c80000000, 0x804080000000, 0x807c80000000,
+ 0x8080806080808080, 0x8080807080800000, 0x806080808080, 0x807080800000,
+ 0x80807c80808080, 0x80804080800000, 0x807c80808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807080000000, 0x806080000000, 0x807080000000,
+ 0x80807c80000000, 0x80804080000000, 0x807c80000000, 0x804080000000,
+ 0x8080807080800000, 0x8080806080808000, 0x807080800000, 0x806080808000,
+ 0x80804080800000, 0x80807c80808000, 0x804080800000, 0x807c80808000,
+ 0x8080807080000000, 0x8080806080000000, 0x807080000000, 0x806080000000,
+ 0x80804080000000, 0x80807c80000000, 0x804080000000, 0x807c80000000,
+ 0x8080806080808080, 0x8080807080800000, 0x806080808080, 0x807080800000,
+ 0x80807880808080, 0x80804080800000, 0x807880808080, 0x804080800000,
+ 0x8080806080000000, 0x8080807080000000, 0x806080000000, 0x807080000000,
+ 0x80807880000000, 0x80804080000000, 0x807880000000, 0x804080000000,
+ 0x8080806080800000, 0x8080806080808000, 0x806080800000, 0x806080808000,
+ 0x80804080800000, 0x80807880808000, 0x804080800000, 0x807880808000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80804080000000, 0x80807880000000, 0x804080000000, 0x807880000000,
+ 0x8080806080808080, 0x8080806080800000, 0x806080808080, 0x806080800000,
+ 0x80807880808080, 0x80804080800000, 0x807880808080, 0x804080800000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807880000000, 0x80804080000000, 0x807880000000, 0x804080000000,
+ 0x8080806080800000, 0x8080806080808000, 0x806080800000, 0x806080808000,
+ 0x80804080800000, 0x80807880808000, 0x804080800000, 0x807880808000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80804080000000, 0x80807880000000, 0x804080000000, 0x807880000000,
+ 0x8080806080808080, 0x8080806080800000, 0x806080808080, 0x806080800000,
+ 0x80807880808080, 0x80804080800000, 0x807880808080, 0x804080800000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807880000000, 0x80804080000000, 0x807880000000, 0x804080000000,
+ 0x8080806080800000, 0x8080806080808000, 0x806080800000, 0x806080808000,
+ 0x80804080800000, 0x80807880808000, 0x804080800000, 0x807880808000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80804080000000, 0x80807880000000, 0x804080000000, 0x807880000000,
+ 0x8080806080808080, 0x8080806080800000, 0x806080808080, 0x806080800000,
+ 0x80807880808080, 0x80804080800000, 0x807880808080, 0x804080800000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807880000000, 0x80804080000000, 0x807880000000, 0x804080000000,
+ 0x8080806080800000, 0x8080806080808000, 0x806080800000, 0x806080808000,
+ 0x80804080800000, 0x80807880808000, 0x804080800000, 0x807880808000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80804080000000, 0x80807880000000, 0x804080000000, 0x807880000000,
+ 0x8080806080808080, 0x8080806080800000, 0x806080808080, 0x806080800000,
+ 0x80807080808080, 0x80804080800000, 0x807080808080, 0x804080800000,
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+ 0x80807080000000, 0x80804080000000, 0x807080000000, 0x804080000000,
+ 0x8080806080800000, 0x8080806080808000, 0x806080800000, 0x806080808000,
+ 0x80807f80800000, 0x80807080808000, 0x807f80800000, 0x807080808000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807f80000000, 0x80807080000000, 0x807f80000000, 0x807080000000,
+ 0x8080806080808080, 0x8080806080800000, 0x806080808080, 0x806080800000,
+ 0x80807080808080, 0x80807f80800000, 0x807080808080, 0x807f80800000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807080000000, 0x80807f80000000, 0x807080000000, 0x807f80000000,
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+ 0x80807e80800000, 0x80807080808000, 0x807e80800000, 0x807080808000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807e80000000, 0x80807080000000, 0x807e80000000, 0x807080000000,
+ 0x8080806080808080, 0x8080806080800000, 0x806080808080, 0x806080800000,
+ 0x80807080808080, 0x80807e80800000, 0x807080808080, 0x807e80800000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807080000000, 0x80807e80000000, 0x807080000000, 0x807e80000000,
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+ 0x80807c80800000, 0x80807080808000, 0x807c80800000, 0x807080808000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807c80000000, 0x80807080000000, 0x807c80000000, 0x807080000000,
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+ 0x80807080808080, 0x80807c80800000, 0x807080808080, 0x807c80800000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
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+ 0x80807c80800000, 0x80807080808000, 0x807c80800000, 0x807080808000,
+ 0x8080806080000000, 0x8080806080000000, 0x806080000000, 0x806080000000,
+ 0x80807c80000000, 0x80807080000000, 0x807c80000000, 0x807080000000,
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+ 0x80807080808080, 0x80807c80800000, 0x807080808080, 0x807c80800000,
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+ 0x80807080000000, 0x80807c80000000, 0x807080000000, 0x807c80000000,
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+ 0x80807880800000, 0x80807080808000, 0x807880800000, 0x807080808000,
+ 0x8080806080000000, 0x8080804080000000, 0x806080000000, 0x804080000000,
+ 0x80807880000000, 0x80807080000000, 0x807880000000, 0x807080000000,
+ 0x8080804080808080, 0x8080806080800000, 0x804080808080, 0x806080800000,
+ 0x80807080808080, 0x80807880800000, 0x807080808080, 0x807880800000,
+ 0x8080804080000000, 0x8080806080000000, 0x804080000000, 0x806080000000,
+ 0x80807080000000, 0x80807880000000, 0x807080000000, 0x807880000000,
+ 0x8080806080800000, 0x8080804080808000, 0x806080800000, 0x804080808000,
+ 0x80807880800000, 0x80807080808000, 0x807880800000, 0x807080808000,
+ 0x8080806080000000, 0x8080804080000000, 0x806080000000, 0x804080000000,
+ 0x80807880000000, 0x80807080000000, 0x807880000000, 0x807080000000,
+ 0x8080804080808080, 0x8080806080800000, 0x804080808080, 0x806080800000,
+ 0x80807080808080, 0x80807880800000, 0x807080808080, 0x807880800000,
+ 0x8080804080000000, 0x8080806080000000, 0x804080000000, 0x806080000000,
+ 0x80807080000000, 0x80807880000000, 0x807080000000, 0x807880000000,
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+ 0x80807880800000, 0x80807080808000, 0x807880800000, 0x807080808000,
+ 0x8080806080000000, 0x8080804080000000, 0x806080000000, 0x804080000000,
+ 0x80807880000000, 0x80807080000000, 0x807880000000, 0x807080000000,
+ 0x8080804080808080, 0x8080806080800000, 0x804080808080, 0x806080800000,
+ 0x80807080808080, 0x80807880800000, 0x807080808080, 0x807880800000,
+ 0x8080804080000000, 0x8080806080000000, 0x804080000000, 0x806080000000,
+ 0x80807080000000, 0x80807880000000, 0x807080000000, 0x807880000000,
+ 0x8080806080800000, 0x8080804080808000, 0x806080800000, 0x804080808000,
+ 0x80807880800000, 0x80807080808000, 0x807880800000, 0x807080808000,
+ 0x8080806080000000, 0x8080804080000000, 0x806080000000, 0x804080000000,
+ 0x80807880000000, 0x80807080000000, 0x807880000000, 0x807080000000,
+ 0x8080804080808080, 0x8080806080800000, 0x804080808080, 0x806080800000,
+ 0x80806080808080, 0x80807880800000, 0x806080808080, 0x807880800000,
+ 0x8080804080000000, 0x8080806080000000, 0x804080000000, 0x806080000000,
+ 0x80806080000000, 0x80807880000000, 0x806080000000, 0x807880000000,
+ 0x8080806080800000, 0x8080804080808000, 0x806080800000, 0x804080808000,
+ 0x80807080800000, 0x80806080808000, 0x807080800000, 0x806080808000,
+ 0x8080806080000000, 0x8080804080000000, 0x806080000000, 0x804080000000,
+ 0x80807080000000, 0x80806080000000, 0x807080000000, 0x806080000000,
+ 0x8080804080808080, 0x8080806080800000, 0x804080808080, 0x806080800000,
+ 0x80806080808080, 0x80807080800000, 0x806080808080, 0x807080800000,
+ 0x8080804080000000, 0x8080806080000000, 0x804080000000, 0x806080000000,
+ 0x80806080000000, 0x80807080000000, 0x806080000000, 0x807080000000,
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+ 0x80807080800000, 0x80806080808000, 0x807080800000, 0x806080808000,
+ 0x8080806080000000, 0x8080804080000000, 0x806080000000, 0x804080000000,
+ 0x80807080000000, 0x80806080000000, 0x807080000000, 0x806080000000,
+ 0x8080804080808080, 0x8080806080800000, 0x804080808080, 0x806080800000,
+ 0x80806080808080, 0x80807080800000, 0x806080808080, 0x807080800000,
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+ 0x80806080000000, 0x80807080000000, 0x806080000000, 0x807080000000,
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+ 0x80807080800000, 0x80806080808000, 0x807080800000, 0x806080808000,
+ 0x8080806080000000, 0x8080804080000000, 0x806080000000, 0x804080000000,
+ 0x80807080000000, 0x80806080000000, 0x807080000000, 0x806080000000,
+ 0x8080804080808080, 0x8080806080800000, 0x804080808080, 0x806080800000,
+ 0x80806080808080, 0x80807080800000, 0x806080808080, 0x807080800000,
+ 0x8080804080000000, 0x8080806080000000, 0x804080000000, 0x806080000000,
+ 0x80806080000000, 0x80807080000000, 0x806080000000, 0x807080000000,
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+ 0x80807080800000, 0x80806080808000, 0x807080800000, 0x806080808000,
+ 0x8080806080000000, 0x8080804080000000, 0x806080000000, 0x804080000000,
+ 0x80807080000000, 0x80806080000000, 0x807080000000, 0x806080000000,
+ 0x8080804080808080, 0x8080806080800000, 0x804080808080, 0x806080800000,
+ 0x80806080808080, 0x80807080800000, 0x806080808080, 0x807080800000,
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+ 0x80806080000000, 0x80807080000000, 0x806080000000, 0x807080000000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x80807080800000, 0x80806080808000, 0x807080800000, 0x806080808000,
+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
+ 0x80807080000000, 0x80806080000000, 0x807080000000, 0x806080000000,
+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x80806080000000, 0x80807080000000, 0x806080000000, 0x807080000000,
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+ 0x80807080800000, 0x80806080808000, 0x807080800000, 0x806080808000,
+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
+ 0x80804080808080, 0x80806080800000, 0x804080808080, 0x806080800000,
+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080800000, 0x8080804080808000, 0x804080800000, 0x804080808000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x8080804080808080, 0x8080804080800000, 0x804080808080, 0x804080800000,
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+ 0x8080804080000000, 0x8080804080000000, 0x804080000000, 0x804080000000,
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+ .{
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+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010100, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1011e0101000000, 0x101fe0101010000, 0x1011e0100000000, 0x101fe0100000000,
+ 0x101020101010101, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010100, 0x1010e0101010000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101010100, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x13e0101000000, 0x1011e0101000000, 0x13e0100000000, 0x1011e0100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101010101, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010101, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101010000, 0x1060100000000, 0x101060100000000,
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+ 0x1011e0101010100, 0x13e0101000000, 0x1011e0100000000, 0x13e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x1010e0101010000, 0x1010e0100000000, 0x1010e0100000000,
+ 0x101020101010101, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x17e0101010100, 0x1011e0101010000, 0x17e0100000000, 0x1011e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101010100, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101010101, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1011e0101010101, 0x17e0101010000, 0x1011e0100000000, 0x17e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1010e0101010100, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1013e0101000000, 0x1011e0101010000, 0x1013e0100000000, 0x1011e0100000000,
+ 0x101020101010101, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010100, 0x1010e0101010000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101010100, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x11e0101000000, 0x1013e0101000000, 0x11e0100000000, 0x1013e0100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101010101, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010101, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101fe0101000000, 0x11e0101000000, 0x101fe0100000000, 0x11e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x1010e0101010000, 0x1010e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x11e0101010100, 0x101fe0101000000, 0x11e0100000000, 0x101fe0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1013e0101010101, 0x11e0101010000, 0x1013e0100000000, 0x11e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1011e0101000000, 0x1013e0101010000, 0x1011e0100000000, 0x1013e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010100, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x17e0101000000, 0x1011e0101000000, 0x17e0100000000, 0x1011e0100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010101, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1011e0101000000, 0x17e0101000000, 0x1011e0100000000, 0x17e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x1010e0101010000, 0x1010e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x13e0101010100, 0x1011e0101000000, 0x13e0100000000, 0x1011e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1011e0101010101, 0x13e0101010000, 0x1011e0100000000, 0x13e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1fe0101010101, 0x1011e0101010000, 0x1fe0100000000, 0x1011e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010100, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x11e0101000000, 0x1fe0101010000, 0x11e0100000000, 0x1fe0100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010101, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101010100, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1013e0101000000, 0x11e0101000000, 0x1013e0100000000, 0x11e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x1060101010000, 0x1060100000000, 0x1060100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010101, 0x1010e0101010000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x11e0101010100, 0x1013e0101000000, 0x11e0100000000, 0x1013e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x10e0101010000, 0x10e0100000000, 0x10e0100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1017e0101010101, 0x11e0101010000, 0x1017e0100000000, 0x11e0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101010100, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x1060101010000, 0x1060100000000, 0x1060100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x11e0101010101, 0x1017e0101010000, 0x11e0100000000, 0x1017e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x10e0101010100, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x13e0101000000, 0x11e0101010000, 0x13e0100000000, 0x11e0100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010101, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101010100, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1011e0101000000, 0x13e0101000000, 0x1011e0100000000, 0x13e0100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x1060101010000, 0x1060100000000, 0x1060100000000,
+ 0x1020101010101, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010101, 0x1010e0101010000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1fe0101000000, 0x1011e0101000000, 0x1fe0100000000, 0x1011e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x10e0101010000, 0x10e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1011e0101010101, 0x1fe0101000000, 0x1011e0100000000, 0x1fe0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x1060101010000, 0x1060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x13e0101010101, 0x1011e0101010000, 0x13e0100000000, 0x1011e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x11e0101000000, 0x13e0101010000, 0x11e0100000000, 0x13e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010101, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1017e0101000000, 0x11e0101000000, 0x1017e0100000000, 0x11e0100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x1060101010000, 0x1060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010101, 0x1010e0101010000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x11e0101000000, 0x1017e0101000000, 0x11e0100000000, 0x1017e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x10e0101010000, 0x10e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1013e0101010101, 0x11e0101000000, 0x1013e0100000000, 0x11e0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x1060101010000, 0x1060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x11e0101010101, 0x1013e0101010000, 0x11e0100000000, 0x1013e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010101, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101fe0101010100, 0x11e0101010000, 0x101fe0100000000, 0x11e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010101, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1011e0101000000, 0x101fe0101010000, 0x1011e0100000000, 0x101fe0100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010101, 0x1010e0101010000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101010101, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x13e0101000000, 0x1011e0101000000, 0x13e0100000000, 0x1011e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010100, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1011e0101010101, 0x13e0101000000, 0x1011e0100000000, 0x13e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x1010e0101010000, 0x1010e0100000000, 0x1010e0100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x17e0101010101, 0x1011e0101010000, 0x17e0100000000, 0x1011e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101010101, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1011e0101010100, 0x17e0101010000, 0x1011e0100000000, 0x17e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1010e0101010101, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1013e0101000000, 0x1011e0101010000, 0x1013e0100000000, 0x1011e0100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010101, 0x1010e0101010000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101010101, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x11e0101000000, 0x1013e0101000000, 0x11e0100000000, 0x1013e0100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101010100, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010100, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101fe0101000000, 0x11e0101000000, 0x101fe0100000000, 0x11e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x1010e0101010000, 0x1010e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x11e0101010101, 0x101fe0101000000, 0x11e0100000000, 0x101fe0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1013e0101010100, 0x11e0101010000, 0x1013e0100000000, 0x11e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1011e0101000000, 0x1013e0101010000, 0x1011e0100000000, 0x1013e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010101, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x17e0101000000, 0x1011e0101000000, 0x17e0100000000, 0x1011e0100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010100, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1011e0101000000, 0x17e0101000000, 0x1011e0100000000, 0x17e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x1010e0101010000, 0x1010e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x13e0101010101, 0x1011e0101000000, 0x13e0100000000, 0x1011e0100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x101060101010000, 0x101060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1011e0101010100, 0x13e0101010000, 0x1011e0100000000, 0x13e0100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010101, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x101020101010000, 0x101020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1fe0101010100, 0x1011e0101010000, 0x1fe0100000000, 0x1011e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010101, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x11e0101000000, 0x1fe0101010000, 0x11e0100000000, 0x1fe0100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010100, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101010101, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1013e0101000000, 0x11e0101000000, 0x1013e0100000000, 0x11e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x1060101010000, 0x1060100000000, 0x1060100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x10e0101010100, 0x1010e0101010000, 0x10e0100000000, 0x1010e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x11e0101010101, 0x1013e0101000000, 0x11e0100000000, 0x1013e0100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x10e0101000000, 0x10e0101010000, 0x10e0100000000, 0x10e0100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1017e0101010100, 0x11e0101010000, 0x1017e0100000000, 0x11e0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101010101, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x1010e0101000000, 0x10e0101000000, 0x1010e0100000000, 0x10e0100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x1060101000000, 0x1060101010000, 0x1060100000000, 0x1060100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x11e0101010100, 0x1017e0101010000, 0x11e0100000000, 0x1017e0100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x101060101010100, 0x1060101010000, 0x101060100000000, 0x1060100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x10e0101010101, 0x1010e0101000000, 0x10e0100000000, 0x1010e0100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
+ 0x101060101000000, 0x1060101000000, 0x101060100000000, 0x1060100000000,
+ 0x101020101010101, 0x1020101010000, 0x101020100000000, 0x1020100000000,
+ 0x13e0101000000, 0x11e0101010000, 0x13e0100000000, 0x11e0100000000,
+ 0x1020101010100, 0x101020101000000, 0x1020100000000, 0x101020100000000,
+ 0x1060101010100, 0x101060101010000, 0x1060100000000, 0x101060100000000,
+ 0x101020101000000, 0x1020101000000, 0x101020100000000, 0x1020100000000,
+ 0x1010e0101010100, 0x10e0101010000, 0x1010e0100000000, 0x10e0100000000,
+ 0x1020101000000, 0x1020101010000, 0x1020100000000, 0x1020100000000,
+ 0x1060101010101, 0x101060101000000, 0x1060100000000, 0x101060100000000,
+ 0x1020101010101, 0x101020101010000, 0x1020100000000, 0x101020100000000,
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+ .{
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+ 0x4041a0400000000, 0x4041b0404000000, 0x4041a0400000000, 0x4041a0404040400,
+ 0x41b0400000000, 0x4041a0404000000, 0x41b0400000000, 0x41b0404040400,
+ 0x41a0400000000, 0x41b0404000000, 0x41a0400000000, 0x41a0404040400,
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+ 0x4040a0400000000, 0x4040b0404000000, 0x4040a0400000000, 0x4040a0404040400,
+ 0x40b0400000000, 0x4040a0404000000, 0x40b0400000000, 0x40b0404040400,
+ 0x40a0400000000, 0x40b0404000000, 0x40a0400000000, 0x40a0404040400,
+ 0x404fb0400000000, 0x40a0404000000, 0x404fb0400000000, 0x4043b0404040400,
+ 0x404fa0400000000, 0x4043b0404000000, 0x404fa0400000000, 0x4043a0404040400,
+ 0x4fb0400000000, 0x4043a0404000000, 0x4fb0400000000, 0x43b0404040400,
+ 0x4fa0400000000, 0x43b0404000000, 0x4fa0400000000, 0x43a0404040400,
+ 0x4040b0400000000, 0x43a0404000000, 0x4040b0400000000, 0x4040b0404040400,
+ 0x4040a0400000000, 0x4040b0404000000, 0x4040a0400000000, 0x4040a0404040400,
+ 0x40b0400000000, 0x4040a0404000000, 0x40b0400000000, 0x40b0404040400,
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+ 0x4041b0400000000, 0x40a0404000000, 0x4041b0400000000, 0x4041b0404040400,
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+ 0x4043b0400000000, 0x40a0404000000, 0x4043b0400000000, 0x404fb0400000000,
+ 0x4043a0400000000, 0x404fb0400000000, 0x4043a0400000000, 0x404fa0400000000,
+ 0x43b0400000000, 0x404fa0400000000, 0x43b0400000000, 0x4fb0400000000,
+ 0x43a0400000000, 0x4fb0400000000, 0x43a0400000000, 0x4fa0400000000,
+ 0x4040b0400000000, 0x4fa0400000000, 0x4040b0400000000, 0x4040b0400000000,
+ 0x4040a0400000000, 0x4040b0400000000, 0x4040a0400000000, 0x4040a0400000000,
+ 0x40b0400000000, 0x4040a0400000000, 0x40b0400000000, 0x40b0400000000,
+ 0x40a0400000000, 0x40b0400000000, 0x40a0400000000, 0x40a0400000000,
+ 0x4041b0400000000, 0x40a0400000000, 0x4041b0400000000, 0x4041b0400000000,
+ 0x4041a0400000000, 0x4041b0400000000, 0x4041a0400000000, 0x4041a0400000000,
+ 0x41b0400000000, 0x4041a0400000000, 0x41b0400000000, 0x41b0400000000,
+ 0x41a0400000000, 0x41b0400000000, 0x41a0400000000, 0x41a0400000000,
+ 0x4040b0400000000, 0x41a0400000000, 0x4040b0400000000, 0x4040b0400000000,
+ 0x4040a0400000000, 0x4040b0400000000, 0x4040a0400000000, 0x4040a0400000000,
+ 0x40b0400000000, 0x4040a0400000000, 0x40b0400000000, 0x40b0400000000,
+ 0x40a0400000000, 0x40b0400000000, 0x40a0400000000, 0x40a0400000000,
+ 0x4047b0400000000, 0x40a0400000000, 0x4047b0400000000, 0x4043b0400000000,
+ 0x4047a0400000000, 0x4043b0400000000, 0x4047a0400000000, 0x4043a0400000000,
+ 0x47b0400000000, 0x4043a0400000000, 0x47b0400000000, 0x43b0400000000,
+ 0x47a0400000000, 0x43b0400000000, 0x47a0400000000, 0x43a0400000000,
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+ 0x1010681010000000, 0x1010681000000000, 0x1010681000000000, 0x1010281010000000,
+ 0x10e81010100000, 0x1010281000000000, 0x10681010101000, 0x10e81000000000,
+ 0x10681010000000, 0x10681000000000, 0x10681000000000, 0x10281010000000,
+ 0x10102c1010100000, 0x10281000000000, 0x10102c1010101000, 0x10102c1000000000,
+ 0x10102c1010000000, 0x10102c1000000000, 0x10102c1000000000, 0x1010ec1010000000,
+ 0x102c1010100000, 0x1010ec1000000000, 0x102c1010101000, 0x102c1000000000,
+ 0x102c1010000000, 0x102c1000000000, 0x102c1000000000, 0x10ec1010000000,
+ 0x1010681010101010, 0x10ec1000000000, 0x1010681000000000, 0x1010281010100000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281010000000, 0x1010281000000000,
+ 0x10681010101010, 0x1010281000000000, 0x10681000000000, 0x10281010100000,
+ 0x10281010000000, 0x10281000000000, 0x10281010000000, 0x10281000000000,
+ 0x1010281010101010, 0x10281000000000, 0x1010281000000000, 0x1010e81010100000,
+ 0x1010e81010000000, 0x1010e81000000000, 0x1010681010000000, 0x1010e81000000000,
+ 0x10281010101010, 0x1010681000000000, 0x10281000000000, 0x10e81010100000,
+ 0x10e81010000000, 0x10e81000000000, 0x10681010000000, 0x10e81000000000,
+ 0x1010ee1010101010, 0x10681000000000, 0x1010ee1000000000, 0x10102e1010100000,
+ 0x10102e1010000000, 0x10102e1000000000, 0x10102e1010000000, 0x10102e1000000000,
+ 0x10ee1010101010, 0x10102e1000000000, 0x10ee1000000000, 0x102e1010100000,
+ 0x102e1010000000, 0x102e1000000000, 0x102e1010000000, 0x102e1000000000,
+ 0x1010e81010100000, 0x102e1000000000, 0x1010681010101000, 0x1010e81000000000,
+ 0x1010681010000000, 0x1010681000000000, 0x1010681000000000, 0x1010281010000000,
+ 0x10e81010100000, 0x1010281000000000, 0x10681010101000, 0x10e81000000000,
+ 0x10681010000000, 0x10681000000000, 0x10681000000000, 0x10281010000000,
+ 0x10102c1010100000, 0x10281000000000, 0x10102c1010101000, 0x10102c1000000000,
+ 0x10102c1010000000, 0x10102c1000000000, 0x10102c1000000000, 0x1010ec1010000000,
+ 0x102c1010100000, 0x1010ec1000000000, 0x102c1010101000, 0x102c1000000000,
+ 0x102c1010000000, 0x102c1000000000, 0x102c1000000000, 0x10ec1010000000,
+ 0x10106f1010100000, 0x10ec1000000000, 0x1010ef1010101000, 0x10106f1000000000,
+ 0x1010ef1010000000, 0x1010ef1000000000, 0x1010ef1000000000, 0x10102f1010000000,
+ 0x106f1010100000, 0x10102f1000000000, 0x10ef1010101000, 0x106f1000000000,
+ 0x10ef1010000000, 0x10ef1000000000, 0x10ef1000000000, 0x102f1010000000,
+ 0x1010281010101010, 0x102f1000000000, 0x1010281000000000, 0x1010e81010100000,
+ 0x1010e81010000000, 0x1010e81000000000, 0x1010681010000000, 0x1010e81000000000,
+ 0x10281010101010, 0x1010681000000000, 0x10281000000000, 0x10e81010100000,
+ 0x10e81010000000, 0x10e81000000000, 0x10681010000000, 0x10e81000000000,
+ 0x1010ec1010101010, 0x10681000000000, 0x1010ec1000000000, 0x10102c1010100000,
+ 0x10102c1010000000, 0x10102c1000000000, 0x10102c1010000000, 0x10102c1000000000,
+ 0x10ec1010101010, 0x10102c1000000000, 0x10ec1000000000, 0x102c1010100000,
+ 0x102c1010000000, 0x102c1000000000, 0x102c1010000000, 0x102c1000000000,
+ 0x1010e81010100000, 0x102c1000000000, 0x1010681010101000, 0x1010e81000000000,
+ 0x1010681010000000, 0x1010681000000000, 0x1010681000000000, 0x1010281010000000,
+ 0x10e81010100000, 0x1010281000000000, 0x10681010101000, 0x10e81000000000,
+ 0x10681010000000, 0x10681000000000, 0x10681000000000, 0x10281010000000,
+ 0x1010281010100000, 0x10281000000000, 0x1010281010101000, 0x1010281000000000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281000000000, 0x1010e81010000000,
+ 0x10281010100000, 0x1010e81000000000, 0x10281010101000, 0x10281000000000,
+ 0x10281010000000, 0x10281000000000, 0x10281000000000, 0x10e81010000000,
+ 0x10106e1010100000, 0x10e81000000000, 0x1010ee1010101000, 0x10106e1000000000,
+ 0x1010ee1010000000, 0x1010ee1000000000, 0x1010ee1000000000, 0x10102e1010000000,
+ 0x106e1010100000, 0x10102e1000000000, 0x10ee1010101000, 0x106e1000000000,
+ 0x10ee1010000000, 0x10ee1000000000, 0x10ee1000000000, 0x102e1010000000,
+ 0x1010281010101010, 0x102e1000000000, 0x1010281000000000, 0x1010e81010100000,
+ 0x1010e81010000000, 0x1010e81000000000, 0x1010681010000000, 0x1010e81000000000,
+ 0x10281010101010, 0x1010681000000000, 0x10281000000000, 0x10e81010100000,
+ 0x10e81010000000, 0x10e81000000000, 0x10681010000000, 0x10e81000000000,
+ 0x1010ec1010101010, 0x10681000000000, 0x1010ec1000000000, 0x10102c1010100000,
+ 0x10102c1010000000, 0x10102c1000000000, 0x10102c1010000000, 0x10102c1000000000,
+ 0x10ec1010101010, 0x10102c1000000000, 0x10ec1000000000, 0x102c1010100000,
+ 0x102c1010000000, 0x102c1000000000, 0x102c1010000000, 0x102c1000000000,
+ 0x10102f1010101010, 0x102c1000000000, 0x10102f1000000000, 0x10106f1010100000,
+ 0x10106f1010000000, 0x10106f1000000000, 0x1010ef1010000000, 0x10106f1000000000,
+ 0x102f1010101010, 0x1010ef1000000000, 0x102f1000000000, 0x106f1010100000,
+ 0x106f1010000000, 0x106f1000000000, 0x10ef1010000000, 0x106f1000000000,
+ 0x1010281010100000, 0x10ef1000000000, 0x1010281010101000, 0x1010281000000000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281000000000, 0x1010e81010000000,
+ 0x10281010100000, 0x1010e81000000000, 0x10281010101000, 0x10281000000000,
+ 0x10281010000000, 0x10281000000000, 0x10281000000000, 0x10e81010000000,
+ 0x10106c1010100000, 0x10e81000000000, 0x1010ec1010101000, 0x10106c1000000000,
+ 0x1010ec1010000000, 0x1010ec1000000000, 0x1010ec1000000000, 0x10102c1010000000,
+ 0x106c1010100000, 0x10102c1000000000, 0x10ec1010101000, 0x106c1000000000,
+ 0x10ec1010000000, 0x10ec1000000000, 0x10ec1000000000, 0x102c1010000000,
+ 0x1010281010101010, 0x102c1000000000, 0x1010281000000000, 0x1010e81010100000,
+ 0x1010e81010000000, 0x1010e81000000000, 0x1010681010000000, 0x1010e81000000000,
+ 0x10281010101010, 0x1010681000000000, 0x10281000000000, 0x10e81010100000,
+ 0x10e81010000000, 0x10e81000000000, 0x10681010000000, 0x10e81000000000,
+ 0x1010e81010101010, 0x10681000000000, 0x1010e81000000000, 0x1010281010100000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281010000000, 0x1010281000000000,
+ 0x10e81010101010, 0x1010281000000000, 0x10e81000000000, 0x10281010100000,
+ 0x10281010000000, 0x10281000000000, 0x10281010000000, 0x10281000000000,
+ 0x10102e1010101010, 0x10281000000000, 0x10102e1000000000, 0x10106e1010100000,
+ 0x10106e1010000000, 0x10106e1000000000, 0x1010ee1010000000, 0x10106e1000000000,
+ 0x102e1010101010, 0x1010ee1000000000, 0x102e1000000000, 0x106e1010100000,
+ 0x106e1010000000, 0x106e1000000000, 0x10ee1010000000, 0x106e1000000000,
+ 0x1010281010100000, 0x10ee1000000000, 0x1010281010101000, 0x1010281000000000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281000000000, 0x1010e81010000000,
+ 0x10281010100000, 0x1010e81000000000, 0x10281010101000, 0x10281000000000,
+ 0x10281010000000, 0x10281000000000, 0x10281000000000, 0x10e81010000000,
+ 0x10106c1010100000, 0x10e81000000000, 0x1010ec1010101000, 0x10106c1000000000,
+ 0x1010ec1010000000, 0x1010ec1000000000, 0x1010ec1000000000, 0x10102c1010000000,
+ 0x106c1010100000, 0x10102c1000000000, 0x10ec1010101000, 0x106c1000000000,
+ 0x10ec1010000000, 0x10ec1000000000, 0x10ec1000000000, 0x102c1010000000,
+ 0x10102f1010100000, 0x102c1000000000, 0x10102f1010101000, 0x10102f1000000000,
+ 0x10102f1010000000, 0x10102f1000000000, 0x10102f1000000000, 0x10106f1010000000,
+ 0x102f1010100000, 0x10106f1000000000, 0x102f1010101000, 0x102f1000000000,
+ 0x102f1010000000, 0x102f1000000000, 0x102f1000000000, 0x106f1010000000,
+ 0x1010e81010101010, 0x106f1000000000, 0x1010e81000000000, 0x1010281010100000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281010000000, 0x1010281000000000,
+ 0x10e81010101010, 0x1010281000000000, 0x10e81000000000, 0x10281010100000,
+ 0x10281010000000, 0x10281000000000, 0x10281010000000, 0x10281000000000,
+ 0x10102c1010101010, 0x10281000000000, 0x10102c1000000000, 0x10106c1010100000,
+ 0x10106c1010000000, 0x10106c1000000000, 0x1010ec1010000000, 0x10106c1000000000,
+ 0x102c1010101010, 0x1010ec1000000000, 0x102c1000000000, 0x106c1010100000,
+ 0x106c1010000000, 0x106c1000000000, 0x10ec1010000000, 0x106c1000000000,
+ 0x1010281010100000, 0x10ec1000000000, 0x1010281010101000, 0x1010281000000000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281000000000, 0x1010e81010000000,
+ 0x10281010100000, 0x1010e81000000000, 0x10281010101000, 0x10281000000000,
+ 0x10281010000000, 0x10281000000000, 0x10281000000000, 0x10e81010000000,
+ 0x1010681010100000, 0x10e81000000000, 0x1010e81010101000, 0x1010681000000000,
+ 0x1010e81010000000, 0x1010e81000000000, 0x1010e81000000000, 0x1010281010000000,
+ 0x10681010100000, 0x1010281000000000, 0x10e81010101000, 0x10681000000000,
+ 0x10e81010000000, 0x10e81000000000, 0x10e81000000000, 0x10281010000000,
+ 0x10102e1010100000, 0x10281000000000, 0x10102e1010101000, 0x10102e1000000000,
+ 0x10102e1010000000, 0x10102e1000000000, 0x10102e1000000000, 0x10106e1010000000,
+ 0x102e1010100000, 0x10106e1000000000, 0x102e1010101000, 0x102e1000000000,
+ 0x102e1010000000, 0x102e1000000000, 0x102e1000000000, 0x106e1010000000,
+ 0x1010e81010101010, 0x106e1000000000, 0x1010e81000000000, 0x1010281010100000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281010000000, 0x1010281000000000,
+ 0x10e81010101010, 0x1010281000000000, 0x10e81000000000, 0x10281010100000,
+ 0x10281010000000, 0x10281000000000, 0x10281010000000, 0x10281000000000,
+ 0x10102c1010101010, 0x10281000000000, 0x10102c1000000000, 0x10106c1010100000,
+ 0x10106c1010000000, 0x10106c1000000000, 0x1010ec1010000000, 0x10106c1000000000,
+ 0x102c1010101010, 0x1010ec1000000000, 0x102c1000000000, 0x106c1010100000,
+ 0x106c1010000000, 0x106c1000000000, 0x10ec1010000000, 0x106c1000000000,
+ 0x10106f1010101010, 0x10ec1000000000, 0x10106f1000000000, 0x10102f1010100000,
+ 0x10102f1010000000, 0x10102f1000000000, 0x10102f1010000000, 0x10102f1000000000,
+ 0x106f1010101010, 0x10102f1000000000, 0x106f1000000000, 0x102f1010100000,
+ 0x102f1010000000, 0x102f1000000000, 0x102f1010000000, 0x102f1000000000,
+ 0x1010681010100000, 0x102f1000000000, 0x1010e81010101000, 0x1010681000000000,
+ 0x1010e81010000000, 0x1010e81000000000, 0x1010e81000000000, 0x1010281010000000,
+ 0x10681010100000, 0x1010281000000000, 0x10e81010101000, 0x10681000000000,
+ 0x10e81010000000, 0x10e81000000000, 0x10e81000000000, 0x10281010000000,
+ 0x10102c1010100000, 0x10281000000000, 0x10102c1010101000, 0x10102c1000000000,
+ 0x10102c1010000000, 0x10102c1000000000, 0x10102c1000000000, 0x10106c1010000000,
+ 0x102c1010100000, 0x10106c1000000000, 0x102c1010101000, 0x102c1000000000,
+ 0x102c1010000000, 0x102c1000000000, 0x102c1000000000, 0x106c1010000000,
+ 0x1010e81010101010, 0x106c1000000000, 0x1010e81000000000, 0x1010281010100000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281010000000, 0x1010281000000000,
+ 0x10e81010101010, 0x1010281000000000, 0x10e81000000000, 0x10281010100000,
+ 0x10281010000000, 0x10281000000000, 0x10281010000000, 0x10281000000000,
+ 0x1010281010101010, 0x10281000000000, 0x1010281000000000, 0x1010681010100000,
+ 0x1010681010000000, 0x1010681000000000, 0x1010e81010000000, 0x1010681000000000,
+ 0x10281010101010, 0x1010e81000000000, 0x10281000000000, 0x10681010100000,
+ 0x10681010000000, 0x10681000000000, 0x10e81010000000, 0x10681000000000,
+ 0x10106e1010101010, 0x10e81000000000, 0x10106e1000000000, 0x10102e1010100000,
+ 0x10102e1010000000, 0x10102e1000000000, 0x10102e1010000000, 0x10102e1000000000,
+ 0x106e1010101010, 0x10102e1000000000, 0x106e1000000000, 0x102e1010100000,
+ 0x102e1010000000, 0x102e1000000000, 0x102e1010000000, 0x102e1000000000,
+ 0x1010681010100000, 0x102e1000000000, 0x1010e81010101000, 0x1010681000000000,
+ 0x1010e81010000000, 0x1010e81000000000, 0x1010e81000000000, 0x1010281010000000,
+ 0x10681010100000, 0x1010281000000000, 0x10e81010101000, 0x10681000000000,
+ 0x10e81010000000, 0x10e81000000000, 0x10e81000000000, 0x10281010000000,
+ 0x10102c1010100000, 0x10281000000000, 0x10102c1010101000, 0x10102c1000000000,
+ 0x10102c1010000000, 0x10102c1000000000, 0x10102c1000000000, 0x10106c1010000000,
+ 0x102c1010100000, 0x10106c1000000000, 0x102c1010101000, 0x102c1000000000,
+ 0x102c1010000000, 0x102c1000000000, 0x102c1000000000, 0x106c1010000000,
+ 0x1010ef1010100000, 0x106c1000000000, 0x10106f1010101000, 0x1010ef1000000000,
+ 0x10106f1010000000, 0x10106f1000000000, 0x10106f1000000000, 0x10102f1010000000,
+ 0x10ef1010100000, 0x10102f1000000000, 0x106f1010101000, 0x10ef1000000000,
+ 0x106f1010000000, 0x106f1000000000, 0x106f1000000000, 0x102f1010000000,
+ 0x1010281010101010, 0x102f1000000000, 0x1010281000000000, 0x1010681010100000,
+ 0x1010681010000000, 0x1010681000000000, 0x1010e81010000000, 0x1010681000000000,
+ 0x10281010101010, 0x1010e81000000000, 0x10281000000000, 0x10681010100000,
+ 0x10681010000000, 0x10681000000000, 0x10e81010000000, 0x10681000000000,
+ 0x10106c1010101010, 0x10e81000000000, 0x10106c1000000000, 0x10102c1010100000,
+ 0x10102c1010000000, 0x10102c1000000000, 0x10102c1010000000, 0x10102c1000000000,
+ 0x106c1010101010, 0x10102c1000000000, 0x106c1000000000, 0x102c1010100000,
+ 0x102c1010000000, 0x102c1000000000, 0x102c1010000000, 0x102c1000000000,
+ 0x1010681010100000, 0x102c1000000000, 0x1010e81010101000, 0x1010681000000000,
+ 0x1010e81010000000, 0x1010e81000000000, 0x1010e81000000000, 0x1010281010000000,
+ 0x10681010100000, 0x1010281000000000, 0x10e81010101000, 0x10681000000000,
+ 0x10e81010000000, 0x10e81000000000, 0x10e81000000000, 0x10281010000000,
+ 0x1010281010100000, 0x10281000000000, 0x1010281010101000, 0x1010281000000000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281000000000, 0x1010681010000000,
+ 0x10281010100000, 0x1010681000000000, 0x10281010101000, 0x10281000000000,
+ 0x10281010000000, 0x10281000000000, 0x10281000000000, 0x10681010000000,
+ 0x1010ee1010100000, 0x10681000000000, 0x10106e1010101000, 0x1010ee1000000000,
+ 0x10106e1010000000, 0x10106e1000000000, 0x10106e1000000000, 0x10102e1010000000,
+ 0x10ee1010100000, 0x10102e1000000000, 0x106e1010101000, 0x10ee1000000000,
+ 0x106e1010000000, 0x106e1000000000, 0x106e1000000000, 0x102e1010000000,
+ 0x1010281010101010, 0x102e1000000000, 0x1010281000000000, 0x1010681010100000,
+ 0x1010681010000000, 0x1010681000000000, 0x1010e81010000000, 0x1010681000000000,
+ 0x10281010101010, 0x1010e81000000000, 0x10281000000000, 0x10681010100000,
+ 0x10681010000000, 0x10681000000000, 0x10e81010000000, 0x10681000000000,
+ 0x10106c1010101010, 0x10e81000000000, 0x10106c1000000000, 0x10102c1010100000,
+ 0x10102c1010000000, 0x10102c1000000000, 0x10102c1010000000, 0x10102c1000000000,
+ 0x106c1010101010, 0x10102c1000000000, 0x106c1000000000, 0x102c1010100000,
+ 0x102c1010000000, 0x102c1000000000, 0x102c1010000000, 0x102c1000000000,
+ 0x10102f1010101010, 0x102c1000000000, 0x10102f1000000000, 0x1010ef1010100000,
+ 0x1010ef1010000000, 0x1010ef1000000000, 0x10106f1010000000, 0x1010ef1000000000,
+ 0x102f1010101010, 0x10106f1000000000, 0x102f1000000000, 0x10ef1010100000,
+ 0x10ef1010000000, 0x10ef1000000000, 0x106f1010000000, 0x10ef1000000000,
+ 0x1010281010100000, 0x106f1000000000, 0x1010281010101000, 0x1010281000000000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281000000000, 0x1010681010000000,
+ 0x10281010100000, 0x1010681000000000, 0x10281010101000, 0x10281000000000,
+ 0x10281010000000, 0x10281000000000, 0x10281000000000, 0x10681010000000,
+ 0x1010ec1010100000, 0x10681000000000, 0x10106c1010101000, 0x1010ec1000000000,
+ 0x10106c1010000000, 0x10106c1000000000, 0x10106c1000000000, 0x10102c1010000000,
+ 0x10ec1010100000, 0x10102c1000000000, 0x106c1010101000, 0x10ec1000000000,
+ 0x106c1010000000, 0x106c1000000000, 0x106c1000000000, 0x102c1010000000,
+ 0x1010281010101010, 0x102c1000000000, 0x1010281000000000, 0x1010681010100000,
+ 0x1010681010000000, 0x1010681000000000, 0x1010e81010000000, 0x1010681000000000,
+ 0x10281010101010, 0x1010e81000000000, 0x10281000000000, 0x10681010100000,
+ 0x10681010000000, 0x10681000000000, 0x10e81010000000, 0x10681000000000,
+ 0x1010681010101010, 0x10e81000000000, 0x1010681000000000, 0x1010281010100000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281010000000, 0x1010281000000000,
+ 0x10681010101010, 0x1010281000000000, 0x10681000000000, 0x10281010100000,
+ 0x10281010000000, 0x10281000000000, 0x10281010000000, 0x10281000000000,
+ 0x10102e1010101010, 0x10281000000000, 0x10102e1000000000, 0x1010ee1010100000,
+ 0x1010ee1010000000, 0x1010ee1000000000, 0x10106e1010000000, 0x1010ee1000000000,
+ 0x102e1010101010, 0x10106e1000000000, 0x102e1000000000, 0x10ee1010100000,
+ 0x10ee1010000000, 0x10ee1000000000, 0x106e1010000000, 0x10ee1000000000,
+ 0x1010281010100000, 0x106e1000000000, 0x1010281010101000, 0x1010281000000000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281000000000, 0x1010681010000000,
+ 0x10281010100000, 0x1010681000000000, 0x10281010101000, 0x10281000000000,
+ 0x10281010000000, 0x10281000000000, 0x10281000000000, 0x10681010000000,
+ 0x1010ec1010100000, 0x10681000000000, 0x10106c1010101000, 0x1010ec1000000000,
+ 0x10106c1010000000, 0x10106c1000000000, 0x10106c1000000000, 0x10102c1010000000,
+ 0x10ec1010100000, 0x10102c1000000000, 0x106c1010101000, 0x10ec1000000000,
+ 0x106c1010000000, 0x106c1000000000, 0x106c1000000000, 0x102c1010000000,
+ 0x10102f1010100000, 0x102c1000000000, 0x10102f1010101000, 0x10102f1000000000,
+ 0x10102f1010000000, 0x10102f1000000000, 0x10102f1000000000, 0x1010ef1010000000,
+ 0x102f1010100000, 0x1010ef1000000000, 0x102f1010101000, 0x102f1000000000,
+ 0x102f1010000000, 0x102f1000000000, 0x102f1000000000, 0x10ef1010000000,
+ 0x1010681010101010, 0x10ef1000000000, 0x1010681000000000, 0x1010281010100000,
+ 0x1010281010000000, 0x1010281000000000, 0x1010281010000000, 0x1010281000000000,
+ 0x10681010101010, 0x1010281000000000, 0x10681000000000, 0x10281010100000,
+ 0x10281010000000, 0x10281000000000, 0x10281010000000, 0x10281000000000,
+ 0x10102c1010101010, 0x10281000000000, 0x10102c1000000000, 0x1010ec1010100000,
+ 0x1010ec1010000000, 0x1010ec1000000000, 0x10106c1010000000, 0x1010ec1000000000,
+ 0x102c1010101010, 0x10106c1000000000, 0x102c1000000000, 0x10ec1010100000,
+ 0x10ec1010000000, 0x10ec1000000000, 0x106c1010000000, 0x10ec1000000000,
+ 0x1010281010100000, 0x106c1000000000, 0x1010281010101000, 0x1010281000000000,
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+ .{
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+ 0x40a04040404040, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
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+ 0x40a04040404000, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
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+ 0x4040a04040404040, 0x4040be4040000000, 0x4040bf4040400000, 0x4040a04040000000,
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+ 0x4040a04040404000, 0x4040be4040000000, 0x4040bf4040400000, 0x4040a04040000000,
+ 0x4040b84000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b84000000000,
+ 0x40b04040404040, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40b84000000000, 0x40a04000000000, 0x40a04000000000, 0x40b84000000000,
+ 0x40b04040404000, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40b84000000000, 0x40a04000000000, 0x40a04000000000, 0x40b84000000000,
+ 0x4040bc4040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040be4040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b84000000000, 0x4040a04000000000,
+ 0x4040bc4040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040be4040000000,
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+ 0x40bf4040404040, 0x40a04040000000, 0x40b04040400000, 0x40a04040000000,
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+ 0x40bf4040404000, 0x40a04040000000, 0x40b04040400000, 0x40a04040000000,
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+ 0x4040a04040404040, 0x4040bc4040000000, 0x4040bc4040400000, 0x4040a04040000000,
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+ 0x40a04040404040, 0x40be4040000000, 0x40bf4040400000, 0x40a04040000000,
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+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x40b84040404040, 0x40a04040000000, 0x40a04040400000, 0x40bc4040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x40b84040404000, 0x40a04040000000, 0x40a04040400000, 0x40bc4040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b84040000000, 0x4040b84040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x4040a04040404000, 0x4040b84040000000, 0x4040b84040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x40a04040404040, 0x40b84040000000, 0x40b84040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x40a04040404000, 0x40b84040000000, 0x40b84040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x4040b04040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b84040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x4040b04040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b84040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x40b84040404040, 0x40a04040000000, 0x40a04040400000, 0x40b84040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x40b84040404000, 0x40a04040000000, 0x40a04040400000, 0x40b84040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x4040a04040404000, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x40a04040404040, 0x40b84040000000, 0x40b84040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x40a04040404000, 0x40b84040000000, 0x40b84040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x4040b04040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040bf4000000000, 0x4040a04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x4040b04040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040bf4000000000, 0x4040a04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x40b04040404040, 0x40a04040000000, 0x40a04040400000, 0x40b84040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x40b04040404000, 0x40a04040000000, 0x40a04040400000, 0x40b84040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040be4000000000, 0x4040bf4000000000, 0x4040a04000000000,
+ 0x4040a04040404000, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040be4000000000, 0x4040bf4000000000, 0x4040a04000000000,
+ 0x40a04040404040, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x40a04040404000, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x4040b04040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040bc4000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040be4000000000,
+ 0x4040b04040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040bc4000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040be4000000000,
+ 0x40b04040404040, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40bf4000000000, 0x40a04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x40b04040404000, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40bf4000000000, 0x40a04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040bc4000000000, 0x4040bc4000000000, 0x4040a04000000000,
+ 0x4040a04040404000, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040bc4000000000, 0x4040bc4000000000, 0x4040a04000000000,
+ 0x40a04040404040, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40be4000000000, 0x40bf4000000000, 0x40a04000000000,
+ 0x40a04040404000, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40be4000000000, 0x40bf4000000000, 0x40a04000000000,
+ 0x4040b04040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040b84000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040bc4000000000,
+ 0x4040b04040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040b84000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040bc4000000000,
+ 0x40b04040404040, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40bc4000000000, 0x40a04000000000, 0x40a04000000000, 0x40be4000000000,
+ 0x40b04040404000, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40bc4000000000, 0x40a04000000000, 0x40a04000000000, 0x40be4000000000,
+ 0x4040a04040404040, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040b84000000000, 0x4040b84000000000, 0x4040a04000000000,
+ 0x4040a04040404000, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040b84000000000, 0x4040b84000000000, 0x4040a04000000000,
+ 0x40a04040404040, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40bc4000000000, 0x40bc4000000000, 0x40a04000000000,
+ 0x40a04040404000, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40bc4000000000, 0x40bc4000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040bf4040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040b84000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b84000000000,
+ 0x4040a04040404000, 0x4040bf4040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040b84000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b84000000000,
+ 0x40b04040404040, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40b84000000000, 0x40a04000000000, 0x40a04000000000, 0x40bc4000000000,
+ 0x40b04040404000, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40b84000000000, 0x40a04000000000, 0x40a04000000000, 0x40bc4000000000,
+ 0x4040be4040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040bf4040000000,
+ 0x4040a04000000000, 0x4040b84000000000, 0x4040b84000000000, 0x4040a04000000000,
+ 0x4040be4040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040bf4040000000,
+ 0x4040a04000000000, 0x4040b84000000000, 0x4040b84000000000, 0x4040a04000000000,
+ 0x40a04040404040, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40b84000000000, 0x40b84000000000, 0x40a04000000000,
+ 0x40a04040404000, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40b84000000000, 0x40b84000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040bc4040000000, 0x4040be4040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b84000000000,
+ 0x4040a04040404000, 0x4040bc4040000000, 0x4040be4040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b84000000000,
+ 0x40a04040404040, 0x40bf4040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40b84000000000, 0x40a04000000000, 0x40a04000000000, 0x40b84000000000,
+ 0x40a04040404000, 0x40bf4040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40b84000000000, 0x40a04000000000, 0x40a04000000000, 0x40b84000000000,
+ 0x4040bc4040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040bc4040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x4040bc4040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040bc4040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x40be4040404040, 0x40a04040000000, 0x40a04040400000, 0x40bf4040000000,
+ 0x40a04000000000, 0x40b84000000000, 0x40b84000000000, 0x40a04000000000,
+ 0x40be4040404000, 0x40a04040000000, 0x40a04040400000, 0x40bf4040000000,
+ 0x40a04000000000, 0x40b84000000000, 0x40b84000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b84040000000, 0x4040bc4040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x4040a04040404000, 0x4040b84040000000, 0x4040bc4040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x40a04040404040, 0x40bc4040000000, 0x40be4040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b84000000000,
+ 0x40a04040404000, 0x40bc4040000000, 0x40be4040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b84000000000,
+ 0x4040b84040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b84040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x4040b84040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b84040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x40bc4040404040, 0x40a04040000000, 0x40a04040400000, 0x40bc4040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x40bc4040404000, 0x40a04040000000, 0x40a04040400000, 0x40bc4040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b84040000000, 0x4040b84040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x4040a04040404000, 0x4040b84040000000, 0x4040b84040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x40a04040404040, 0x40b84040000000, 0x40bc4040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x40a04040404000, 0x40b84040000000, 0x40bc4040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x4040b84040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b84040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x4040b84040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b84040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x40b84040404040, 0x40a04040000000, 0x40a04040400000, 0x40b84040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x40b84040404000, 0x40a04040000000, 0x40a04040400000, 0x40b84040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b04040000000, 0x4040b84040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x4040a04040404000, 0x4040b04040000000, 0x4040b84040400000, 0x4040a04040000000,
+ 0x4040b04000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x40a04040404040, 0x40b84040000000, 0x40b84040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x40a04040404000, 0x40b84040000000, 0x40b84040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x4040b04040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x4040b04040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040a04000000000, 0x4040b04000000000, 0x4040b04000000000, 0x4040a04000000000,
+ 0x40b84040404040, 0x40a04040000000, 0x40a04040400000, 0x40b84040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x40b84040404000, 0x40a04040000000, 0x40a04040400000, 0x40b84040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040bf4000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x4040a04040404000, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040bf4000000000, 0x4040a04000000000, 0x4040b04000000000,
+ 0x40a04040404040, 0x40b04040000000, 0x40b84040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x40a04040404000, 0x40b04040000000, 0x40b84040400000, 0x40a04040000000,
+ 0x40b04000000000, 0x40a04000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x4040b04040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040be4000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040bf4000000000,
+ 0x4040b04040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040be4000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040bf4000000000,
+ 0x40b04040404040, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x40b04040404000, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40a04000000000, 0x40b04000000000, 0x40b04000000000, 0x40a04000000000,
+ 0x4040a04040404040, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040bc4000000000, 0x4040be4000000000, 0x4040a04000000000,
+ 0x4040a04040404000, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040bc4000000000, 0x4040be4000000000, 0x4040a04000000000,
+ 0x40a04040404040, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40bf4000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x40a04040404000, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40bf4000000000, 0x40a04000000000, 0x40b04000000000,
+ 0x4040b04040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040bc4000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040bc4000000000,
+ 0x4040b04040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040bc4000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040bc4000000000,
+ 0x40b04040404040, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40be4000000000, 0x40a04000000000, 0x40a04000000000, 0x40bf4000000000,
+ 0x40b04040404000, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40be4000000000, 0x40a04000000000, 0x40a04000000000, 0x40bf4000000000,
+ 0x4040a04040404040, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040b84000000000, 0x4040bc4000000000, 0x4040a04000000000,
+ 0x4040a04040404000, 0x4040b04040000000, 0x4040b04040400000, 0x4040a04040000000,
+ 0x4040a04000000000, 0x4040b84000000000, 0x4040bc4000000000, 0x4040a04000000000,
+ 0x40a04040404040, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40bc4000000000, 0x40be4000000000, 0x40a04000000000,
+ 0x40a04040404000, 0x40b04040000000, 0x40b04040400000, 0x40a04040000000,
+ 0x40a04000000000, 0x40bc4000000000, 0x40be4000000000, 0x40a04000000000,
+ 0x4040b04040404040, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040b84000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b84000000000,
+ 0x4040b04040404000, 0x4040a04040000000, 0x4040a04040400000, 0x4040b04040000000,
+ 0x4040b84000000000, 0x4040a04000000000, 0x4040a04000000000, 0x4040b84000000000,
+ 0x40b04040404040, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40bc4000000000, 0x40a04000000000, 0x40a04000000000, 0x40bc4000000000,
+ 0x40b04040404000, 0x40a04040000000, 0x40a04040400000, 0x40b04040000000,
+ 0x40bc4000000000, 0x40a04000000000, 0x40a04000000000, 0x40bc4000000000,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
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+ 0x102010101000000, 0x102010101000000, 0x1fe010000000000, 0x1fe010000000000,
+ 0x102010101010000, 0x102010101010000, 0x10e010000000000, 0x10e010000000000,
+ 0x1fe010100000000, 0x1fe010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101000000, 0x106010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x1fe010000000000, 0x1fe010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101010000, 0x102010101010000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010101, 0x10e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x11e010101000000, 0x11e010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101010000, 0x102010101010000, 0x11e010000000000, 0x11e010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x11e010100000000, 0x11e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101000000, 0x106010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101010000, 0x102010101010000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x11e010101010101, 0x11e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x10e010101000000, 0x10e010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010101010000, 0x102010101010000, 0x10e010000000000, 0x10e010000000000,
+ 0x11e010100000000, 0x11e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101000000, 0x106010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101010000, 0x102010101010000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010101, 0x10e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x13e010101000000, 0x13e010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101010000, 0x102010101010000, 0x13e010000000000, 0x13e010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x13e010100000000, 0x13e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101000000, 0x106010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x13e010000000000, 0x13e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101010000, 0x102010101010000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x13e010101010101, 0x13e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x10e010101000000, 0x10e010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x13e010000000000, 0x13e010000000000,
+ 0x102010101010000, 0x102010101010000, 0x10e010000000000, 0x10e010000000000,
+ 0x13e010100000000, 0x13e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101000000, 0x106010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x13e010000000000, 0x13e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101010000, 0x102010101010000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010101, 0x10e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x11e010101000000, 0x11e010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101010000, 0x102010101010000, 0x11e010000000000, 0x11e010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x11e010100000000, 0x11e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101000000, 0x106010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101010000, 0x102010101010000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x11e010101010101, 0x11e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x10e010101000000, 0x10e010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010101010000, 0x102010101010000, 0x10e010000000000, 0x10e010000000000,
+ 0x11e010100000000, 0x11e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101000000, 0x106010101000000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101010000, 0x102010101010000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010101, 0x10e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x1fe010101010000, 0x1fe010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x1fe010000000000, 0x1fe010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x1fe010100000000, 0x1fe010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x1fe010000000000, 0x1fe010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x17e010101010101, 0x17e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010000, 0x10e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x17e010000000000, 0x17e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x17e010100000000, 0x17e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x17e010000000000, 0x17e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010101, 0x10e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x11e010101010000, 0x11e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x11e010000000000, 0x11e010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x11e010100000000, 0x11e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x11e010101010101, 0x11e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010000, 0x10e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x11e010100000000, 0x11e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010101, 0x10e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x13e010101010000, 0x13e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x13e010000000000, 0x13e010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x13e010100000000, 0x13e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x13e010000000000, 0x13e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x13e010101010101, 0x13e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010000, 0x10e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x13e010000000000, 0x13e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x13e010100000000, 0x13e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x13e010000000000, 0x13e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010101, 0x10e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x11e010101010000, 0x11e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x11e010000000000, 0x11e010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x11e010100000000, 0x11e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x11e010101010101, 0x11e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010000, 0x10e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x11e010100000000, 0x11e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x11e010000000000, 0x11e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010101, 0x10e010101010100, 0x102010000000000, 0x102010000000000,
+ 0x17e010101010000, 0x17e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x17e010000000000, 0x17e010000000000,
+ 0x10e010100000000, 0x10e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x17e010100000000, 0x17e010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010101010101, 0x106010101010100, 0x102010000000000, 0x102010000000000,
+ 0x106010101010000, 0x106010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x10e010000000000, 0x10e010000000000,
+ 0x102010100000000, 0x102010100000000, 0x17e010000000000, 0x17e010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101000000, 0x102010101000000, 0x106010000000000, 0x106010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x106010100000000, 0x106010100000000, 0x102010000000000, 0x102010000000000,
+ 0x1fe010101000000, 0x1fe010101000000, 0x102010000000000, 0x102010000000000,
+ 0x10e010101010000, 0x10e010101010000, 0x102010000000000, 0x102010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010100000000, 0x102010100000000, 0x106010000000000, 0x106010000000000,
+ 0x102010101010101, 0x102010101010100, 0x1fe010000000000, 0x1fe010000000000,
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+ 0x13e010101000000, 0x13e010101000000, 0x102010000000000, 0x102010000000000,
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+ 0x0, 0x0, 0x0, 0x0,
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+ 0x0, 0x0, 0x0, 0x0,
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+ .{
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+ 0x0, 0x0, 0x0, 0x0,
+ },
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+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xe01010101010100, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xfe01010101000000, 0x201010000000000, 0xfe01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x1e01010101010101, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xfe01010100000000, 0x201010100000000, 0xfe01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x1e01010101010100, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xfe01010100000000, 0x201010100000000, 0xfe01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010101, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xfe01010100000000, 0x201010000000000, 0xfe01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0xe01010101010100, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xfe01010100000000, 0x201010000000000, 0xfe01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x3e01010101010101, 0x201010101000000, 0x3e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x3e01010101010100, 0x201010101000000, 0x3e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010101, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x3e01010101000000, 0x201010000000000, 0x3e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xe01010101010100, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x3e01010101000000, 0x201010000000000, 0x3e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000,
+ 0x1e01010101010101, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x3e01010100000000, 0x201010100000000, 0x3e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x1e01010101010100, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x3e01010100000000, 0x201010100000000, 0x3e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010101, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x3e01010100000000, 0x201010000000000, 0x3e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000,
+ 0xe01010101010100, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x3e01010100000000, 0x201010000000000, 0x3e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x7e01010101010101, 0x201010101000000, 0x7e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x7e01010101010100, 0x201010101000000, 0x7e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010101, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x7e01010101000000, 0x201010000000000, 0x7e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xe01010101010100, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x7e01010101000000, 0x201010000000000, 0x7e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x1e01010101010101, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x7e01010100000000, 0x201010100000000, 0x7e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x1e01010101010100, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x7e01010100000000, 0x201010100000000, 0x7e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010101, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x7e01010100000000, 0x201010000000000, 0x7e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0xe01010101010100, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x7e01010100000000, 0x201010000000000, 0x7e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x3e01010101010101, 0x201010101000000, 0x3e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x3e01010101010100, 0x201010101000000, 0x3e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010101, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x3e01010101000000, 0x201010000000000, 0x3e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xe01010101010100, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x3e01010101000000, 0x201010000000000, 0x3e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000,
+ 0x1e01010101010101, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x3e01010100000000, 0x201010100000000, 0x3e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x1e01010101010100, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x3e01010100000000, 0x201010100000000, 0x3e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010101, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x3e01010100000000, 0x201010000000000, 0x3e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010101, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000,
+ 0xe01010101010100, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010000, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x3e01010100000000, 0x201010000000000, 0x3e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xfe01010101010000, 0x201010101000000, 0xfe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010100, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010000, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xfe01010101010000, 0x201010101000000, 0xfe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xfe01010101000000, 0x201010000000000, 0xfe01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xfe01010101000000, 0x201010000000000, 0xfe01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x1e01010101010000, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xfe01010100000000, 0x201010100000000, 0xfe01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x1e01010101010000, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xfe01010100000000, 0x201010100000000, 0xfe01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xfe01010100000000, 0x201010000000000, 0xfe01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xfe01010100000000, 0x201010000000000, 0xfe01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x3e01010101010000, 0x201010101000000, 0x3e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x3e01010101010000, 0x201010101000000, 0x3e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0x3e01010101000000, 0x201010000000000, 0x3e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0x3e01010101000000, 0x201010000000000, 0x3e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000,
+ 0x1e01010101010000, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x3e01010100000000, 0x201010100000000, 0x3e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x1e01010101010000, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x3e01010100000000, 0x201010100000000, 0x3e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x3e01010100000000, 0x201010000000000, 0x3e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x3e01010100000000, 0x201010000000000, 0x3e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x7e01010101010000, 0x201010101000000, 0x7e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xfe01000000000000, 0x201000000000000, 0xfe01000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x7e01010101010000, 0x201010101000000, 0x7e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0x7e01010101000000, 0x201010000000000, 0x7e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0x7e01010101000000, 0x201010000000000, 0x7e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x1e01010101010000, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x7e01010100000000, 0x201010100000000, 0x7e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x1e01010101010000, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x7e01010100000000, 0x201010100000000, 0x7e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x7e01010100000000, 0x201010000000000, 0x7e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x7e01010100000000, 0x201010000000000, 0x7e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x3e01010101010000, 0x201010101000000, 0x3e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x3e01000000000000, 0x201000000000000, 0x3e01000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x3e01010101010000, 0x201010101000000, 0x3e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x1e01010100000000, 0x201010100000000, 0x1e01010000000000, 0x201010000000000,
+ 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0x3e01010101000000, 0x201010000000000, 0x3e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0x3e01010101000000, 0x201010000000000, 0x3e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x1e01010100000000, 0x201010000000000, 0x1e01010000000000,
+ 0x201000000000000, 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000,
+ 0x1e01010101010000, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x3e01010100000000, 0x201010100000000, 0x3e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0x1e01010101010000, 0x201010101000000, 0x1e01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x3e01010100000000, 0x201010100000000, 0x3e01010000000000, 0x201010000000000,
+ 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0xe01010101000000, 0x201010000000000, 0xe01010000000000,
+ 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0xe01010100000000, 0x201010000000000, 0xe01010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0xe01000000000000, 0x201000000000000, 0xe01000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010101, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010100, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010100000000, 0x3e01010100000000, 0x201010000000000, 0x3e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010101010000, 0x201010101000000, 0x601010000000000, 0x201010000000000,
+ 0x201000000000000, 0x7e01000000000000, 0x201000000000000, 0x7e01000000000000,
+ 0xe01010101010000, 0x201010101000000, 0xe01010000000000, 0x201010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x601010100000000, 0x201010100000000, 0x601010000000000, 0x201010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0xe01010100000000, 0x201010100000000, 0xe01010000000000, 0x201010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010101010101, 0x601010101000000, 0x201010000000000, 0x601010000000000,
+ 0x601000000000000, 0x201000000000000, 0x601000000000000, 0x201000000000000,
+ 0x201010101010100, 0x1e01010101000000, 0x201010000000000, 0x1e01010000000000,
+ 0xe01000000000000, 0x201000000000000, 0xe01000000000000, 0x201000000000000,
+ 0x201010100000000, 0x601010100000000, 0x201010000000000, 0x601010000000000,
+ 0x201000000000000, 0x601000000000000, 0x201000000000000, 0x601000000000000,
+ 0x201010100000000, 0x3e01010100000000, 0x201010000000000, 0x3e01010000000000,
+ 0x201000000000000, 0x1e01000000000000, 0x201000000000000, 0x1e01000000000000,
+ },
+ .{
+ 0xfd02020202020202, 0x7d02020000000000, 0xfd02020202020000, 0x7d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xfd02020202020200, 0x7d02020000000000, 0xfd02020202020000, 0x7d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000,
+ 0x3d02020200000000, 0x3d02020200000000, 0x3d02020200000000, 0x3d02020200000000,
+ 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000,
+ 0x3d02020200000000, 0x3d02020200000000, 0x3d02020200000000, 0x3d02020200000000,
+ 0x502020202020202, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0x502020202020200, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0xd02020202020202, 0xd02020202000000, 0xd02020202020000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020202020200, 0xd02020202000000, 0xd02020202020000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020200000000, 0x1d02020000000000, 0x1d02020200000000, 0x1d02020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020200000000, 0x1d02020000000000, 0x1d02020200000000, 0x1d02020000000000,
+ 0x502020202020202, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502020202020200, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0xd02020202020202, 0xd02020000000000, 0xd02020202020000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020202020200, 0xd02020000000000, 0xd02020202020000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020200000000, 0xd02020000000000, 0xd02020200000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020200000000, 0xd02020000000000, 0xd02020200000000,
+ 0x502020202020202, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020202020200, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x3d02020000000000, 0x3d02020202000000, 0x3d02020000000000, 0x3d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x3d02020000000000, 0x3d02020202000000, 0x3d02020000000000, 0x3d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0xfd02020200000000, 0x7d02020000000000, 0xfd02020200000000, 0x7d02020000000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0xfd02020200000000, 0x7d02020000000000, 0xfd02020200000000, 0x7d02020000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0xd02020202020202, 0xd02020000000000, 0xd02020202020000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020202020200, 0xd02020000000000, 0xd02020202020000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020200000000, 0xd02020200000000, 0xd02020200000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020200000000, 0xd02020200000000, 0xd02020200000000,
+ 0x502020202020202, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020202020200, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0x1d02020202020202, 0x1d02020202000000, 0x1d02020202020000, 0x1d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02020202020200, 0x1d02020202000000, 0x1d02020202020000, 0x1d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020000000000, 0xd02020200000000, 0xd02020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020000000000, 0xd02020200000000, 0xd02020000000000,
+ 0x502020202020202, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020202020200, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x7d02020202020202, 0xfd02020202000000, 0x7d02020202020000, 0xfd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x7d02020202020200, 0xfd02020202000000, 0x7d02020202020000, 0xfd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000,
+ 0x3d02020000000000, 0x3d02020200000000, 0x3d02020000000000, 0x3d02020200000000,
+ 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000,
+ 0x3d02020000000000, 0x3d02020200000000, 0x3d02020000000000, 0x3d02020200000000,
+ 0x502020202020202, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0x502020202020200, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0xd02020000000000, 0xd02020202000000, 0xd02020000000000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020000000000, 0xd02020202000000, 0xd02020000000000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020000000000, 0xd02020200000000, 0xd02020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020000000000, 0xd02020200000000, 0xd02020000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x1d02020202020202, 0x1d02020000000000, 0x1d02020202020000, 0x1d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02020202020200, 0x1d02020000000000, 0x1d02020202020000, 0x1d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020200000000, 0x1d02020200000000, 0x1d02020200000000, 0x1d02020200000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020200000000, 0x1d02020200000000, 0x1d02020200000000, 0x1d02020200000000,
+ 0x502020202020202, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502020202020200, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0xd02020202020202, 0xd02020202000000, 0xd02020202020000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020202020200, 0xd02020202000000, 0xd02020202020000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x3d02020000000000, 0x3d02020000000000, 0x3d02020000000000, 0x3d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x3d02020000000000, 0x3d02020000000000, 0x3d02020000000000, 0x3d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0x7d02020200000000, 0xfd02020200000000, 0x7d02020200000000, 0xfd02020200000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0x7d02020200000000, 0xfd02020200000000, 0x7d02020200000000, 0xfd02020200000000,
+ 0x502020202020202, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000,
+ 0x502020202020200, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0xd02020202020202, 0xd02020202000000, 0xd02020202020000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020202020200, 0xd02020202000000, 0xd02020202020000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020200000000, 0xd02020000000000, 0xd02020200000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020200000000, 0xd02020000000000, 0xd02020200000000,
+ 0x502020202020202, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020202020200, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x1d02020000000000, 0x1d02020202000000, 0x1d02020000000000, 0x1d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02020000000000, 0x1d02020202000000, 0x1d02020000000000, 0x1d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020200000000, 0x1d02020000000000, 0x1d02020200000000, 0x1d02020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020200000000, 0x1d02020000000000, 0x1d02020200000000, 0x1d02020000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0xd02020202020202, 0xd02020000000000, 0xd02020202020000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020202020200, 0xd02020000000000, 0xd02020202020000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020200000000, 0xd02020200000000, 0xd02020200000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020200000000, 0xd02020200000000, 0xd02020200000000,
+ 0x502020202020202, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020202020200, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0xfd02020000000000, 0x7d02020202000000, 0xfd02020000000000, 0x7d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xfd02020000000000, 0x7d02020202000000, 0xfd02020000000000, 0x7d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000,
+ 0x3d02020000000000, 0x3d02020000000000, 0x3d02020000000000, 0x3d02020000000000,
+ 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000,
+ 0x3d02020000000000, 0x3d02020000000000, 0x3d02020000000000, 0x3d02020000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020200000000, 0xd02020200000000, 0xd02020200000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020200000000, 0xd02020200000000, 0xd02020200000000,
+ 0x502020202020202, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020202020200, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x1d02020202020202, 0x1d02020202000000, 0x1d02020202020000, 0x1d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02020202020200, 0x1d02020202000000, 0x1d02020202020000, 0x1d02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020000000000, 0x1d02020200000000, 0x1d02020000000000, 0x1d02020200000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020000000000, 0x1d02020200000000, 0x1d02020000000000, 0x1d02020200000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0xd02020000000000, 0xd02020202000000, 0xd02020000000000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020000000000, 0xd02020202000000, 0xd02020000000000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020000000000, 0xd02020200000000, 0xd02020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020200000000, 0xd02020000000000, 0xd02020200000000, 0xd02020000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020200000000, 0x502020200000000, 0x502020200000000,
+ 0x3d02020202020202, 0x3d02020000000000, 0x3d02020202020000, 0x3d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x3d02020202020200, 0x3d02020000000000, 0x3d02020202020000, 0x3d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0xfd02020000000000, 0x7d02020200000000, 0xfd02020000000000, 0x7d02020200000000,
+ 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000, 0x3d02000000000000,
+ 0xfd02020000000000, 0x7d02020200000000, 0xfd02020000000000, 0x7d02020200000000,
+ 0x502020202020202, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000,
+ 0x502020202020200, 0x502020202000000, 0x502020202020000, 0x502020202000000,
+ 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0xd02020000000000, 0xd02020202000000, 0xd02020000000000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020000000000, 0xd02020202000000, 0xd02020000000000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020000000000, 0xd02020000000000, 0xd02020000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020200000000, 0x502020000000000, 0x502020200000000, 0x502020000000000,
+ 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000, 0x1d02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020200000000, 0x1d02020200000000, 0x1d02020200000000, 0x1d02020200000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x1d02020200000000, 0x1d02020200000000, 0x1d02020200000000, 0x1d02020200000000,
+ 0x502020202020202, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502020202020200, 0x502020000000000, 0x502020202020000, 0x502020000000000,
+ 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000, 0x1d02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020200000000, 0x502020000000000, 0x502020200000000,
+ 0xd02020202020202, 0xd02020202000000, 0xd02020202020000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02020202020200, 0xd02020202000000, 0xd02020202020000, 0xd02020202000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020200000000, 0xd02020000000000, 0xd02020200000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0xd02020000000000, 0xd02020200000000, 0xd02020000000000, 0xd02020200000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502020000000000, 0x502020202000000, 0x502020000000000, 0x502020202000000,
+ 0xd02000000000000, 0xd02000000000000, 0xd02000000000000, 0xd02000000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x502020000000000, 0x502020000000000, 0x502020000000000, 0x502020000000000,
+ 0x7d02020000000000, 0xfd02020000000000, 0x7d02020000000000, 0xfd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x7d02020000000000, 0xfd02020000000000, 0x7d02020000000000, 0xfd02020000000000,
+ 0x502000000000000, 0x502000000000000, 0x502000000000000, 0x502000000000000,
+ 0x7d02000000000000, 0xfd02000000000000, 0x7d02000000000000, 0xfd02000000000000,
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+ 0xa04040000000000, 0xb04040400000000, 0xa04040000000000, 0xa04040000000000,
+ 0xb04040000000000, 0xa04040000000000, 0xb04040000000000, 0xb04040000000000,
+ 0x3b04000000000000, 0xb04040000000000, 0x3b04000000000000, 0x3b04000000000000,
+ 0xa04040404000000, 0x3b04000000000000, 0xa04040400000000, 0xa04040404000000,
+ 0x3b04000000000000, 0xa04040400000000, 0x3b04000000000000, 0x3b04000000000000,
+ 0xa04040000000000, 0x3b04000000000000, 0xa04040000000000, 0xa04040000000000,
+ 0x3a04000000000000, 0xa04040000000000, 0x3a04000000000000, 0x3a04000000000000,
+ 0x7b04000000000000, 0x3a04000000000000, 0x7b04000000000000, 0x7b04000000000000,
+ 0x3a04000000000000, 0x7b04000000000000, 0x3a04000000000000, 0x3a04000000000000,
+ 0xfb04000000000000, 0x3a04000000000000, 0xfb04000000000000, 0xfb04000000000000,
+ 0x1b04040404040404, 0xfb04000000000000, 0x1b04040400000000, 0x1b04040404040400,
+ 0x7a04000000000000, 0x1b04040400000000, 0x7a04000000000000, 0x7a04000000000000,
+ 0x1b04040000000000, 0x7a04000000000000, 0x1b04040000000000, 0x1b04040000000000,
+ 0xfa04000000000000, 0x1b04040000000000, 0xfa04000000000000, 0xfa04000000000000,
+ 0x1a04040404040404, 0xfa04000000000000, 0x1a04040400000000, 0x1a04040404040400,
+ 0x1b04040404000000, 0x1a04040400000000, 0x1b04040400000000, 0x1b04040404000000,
+ 0x1a04040000000000, 0x1b04040400000000, 0x1a04040000000000, 0x1a04040000000000,
+ 0x1b04040000000000, 0x1a04040000000000, 0x1b04040000000000, 0x1b04040000000000,
+ 0xb04000000000000, 0x1b04040000000000, 0xb04000000000000, 0xb04000000000000,
+ 0x1a04040404000000, 0xb04000000000000, 0x1a04040400000000, 0x1a04040404000000,
+ 0xb04000000000000, 0x1a04040400000000, 0xb04000000000000, 0xb04000000000000,
+ 0x1a04040000000000, 0xb04000000000000, 0x1a04040000000000, 0x1a04040000000000,
+ 0xa04000000000000, 0x1a04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xa04000000000000, 0xb04000000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xb04040404040404, 0xb04000000000000, 0xb04040400000000, 0xb04040404040400,
+ 0xa04000000000000, 0xb04040400000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04040000000000, 0xa04000000000000, 0xb04040000000000, 0xb04040000000000,
+ 0xa04000000000000, 0xb04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xa04040404040404, 0xa04000000000000, 0xa04040400000000, 0xa04040404040400,
+ 0xb04040404000000, 0xa04040400000000, 0xb04040400000000, 0xb04040404000000,
+ 0xa04040000000000, 0xb04040400000000, 0xa04040000000000, 0xa04040000000000,
+ 0xb04040000000000, 0xa04040000000000, 0xb04040000000000, 0xb04040000000000,
+ 0x1b04000000000000, 0xb04040000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xa04040404000000, 0x1b04000000000000, 0xa04040400000000, 0xa04040404000000,
+ 0x1b04000000000000, 0xa04040400000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xa04040000000000, 0x1b04000000000000, 0xa04040000000000, 0xa04040000000000,
+ 0x1a04000000000000, 0xa04040000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x1b04000000000000, 0x1a04000000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0x1a04000000000000, 0x1b04000000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x1b04000000000000, 0x1a04000000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0x7b04040404040404, 0x1b04000000000000, 0x7b04040400000000, 0x7b04040404040400,
+ 0x1a04000000000000, 0x7b04040400000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0xfb04040000000000, 0x1a04000000000000, 0xfb04040000000000, 0xfb04040000000000,
+ 0x1a04000000000000, 0xfb04040000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x7a04040404040404, 0x1a04000000000000, 0x7a04040400000000, 0x7a04040404040400,
+ 0x3b04040404000000, 0x7a04040400000000, 0x3b04040400000000, 0x3b04040404000000,
+ 0xfa04040000000000, 0x3b04040400000000, 0xfa04040000000000, 0xfa04040000000000,
+ 0x3b04040000000000, 0xfa04040000000000, 0x3b04040000000000, 0x3b04040000000000,
+ 0xb04000000000000, 0x3b04040000000000, 0xb04000000000000, 0xb04000000000000,
+ 0x3a04040404000000, 0xb04000000000000, 0x3a04040400000000, 0x3a04040404000000,
+ 0xb04000000000000, 0x3a04040400000000, 0xb04000000000000, 0xb04000000000000,
+ 0x3a04040000000000, 0xb04000000000000, 0x3a04040000000000, 0x3a04040000000000,
+ 0xa04000000000000, 0x3a04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xa04000000000000, 0xb04000000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xb04040404040404, 0xb04000000000000, 0xb04040400000000, 0xb04040404040400,
+ 0xa04000000000000, 0xb04040400000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04040000000000, 0xa04000000000000, 0xb04040000000000, 0xb04040000000000,
+ 0xa04000000000000, 0xb04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xa04040404040404, 0xa04000000000000, 0xa04040400000000, 0xa04040404040400,
+ 0xb04040404000000, 0xa04040400000000, 0xb04040400000000, 0xb04040404000000,
+ 0xa04040000000000, 0xb04040400000000, 0xa04040000000000, 0xa04040000000000,
+ 0xb04040000000000, 0xa04040000000000, 0xb04040000000000, 0xb04040000000000,
+ 0x7b04000000000000, 0xb04040000000000, 0x7b04000000000000, 0x7b04000000000000,
+ 0xa04040404000000, 0x7b04000000000000, 0xa04040400000000, 0xa04040404000000,
+ 0xfb04000000000000, 0xa04040400000000, 0xfb04000000000000, 0xfb04000000000000,
+ 0xa04040000000000, 0xfb04000000000000, 0xa04040000000000, 0xa04040000000000,
+ 0x7a04000000000000, 0xa04040000000000, 0x7a04000000000000, 0x7a04000000000000,
+ 0x3b04000000000000, 0x7a04000000000000, 0x3b04000000000000, 0x3b04000000000000,
+ 0xfa04000000000000, 0x3b04000000000000, 0xfa04000000000000, 0xfa04000000000000,
+ 0x3b04000000000000, 0xfa04000000000000, 0x3b04000000000000, 0x3b04000000000000,
+ 0x1b04040404040404, 0x3b04000000000000, 0x1b04040400000000, 0x1b04040404040400,
+ 0x3a04000000000000, 0x1b04040400000000, 0x3a04000000000000, 0x3a04000000000000,
+ 0x1b04040000000000, 0x3a04000000000000, 0x1b04040000000000, 0x1b04040000000000,
+ 0x3a04000000000000, 0x1b04040000000000, 0x3a04000000000000, 0x3a04000000000000,
+ 0x1a04040404040404, 0x3a04000000000000, 0x1a04040400000000, 0x1a04040404040400,
+ 0x1b04040404000000, 0x1a04040400000000, 0x1b04040400000000, 0x1b04040404000000,
+ 0x1a04040000000000, 0x1b04040400000000, 0x1a04040000000000, 0x1a04040000000000,
+ 0x1b04040000000000, 0x1a04040000000000, 0x1b04040000000000, 0x1b04040000000000,
+ 0xb04000000000000, 0x1b04040000000000, 0xb04000000000000, 0xb04000000000000,
+ 0x1a04040404000000, 0xb04000000000000, 0x1a04040400000000, 0x1a04040404000000,
+ 0xb04000000000000, 0x1a04040400000000, 0xb04000000000000, 0xb04000000000000,
+ 0x1a04040000000000, 0xb04000000000000, 0x1a04040000000000, 0x1a04040000000000,
+ 0xa04000000000000, 0x1a04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xa04000000000000, 0xb04000000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xb04040404040404, 0xb04000000000000, 0xb04040400000000, 0xb04040404040400,
+ 0xa04000000000000, 0xb04040400000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04040000000000, 0xa04000000000000, 0xb04040000000000, 0xb04040000000000,
+ 0xa04000000000000, 0xb04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xa04040404040404, 0xa04000000000000, 0xa04040400000000, 0xa04040404040400,
+ 0xb04040404000000, 0xa04040400000000, 0xb04040400000000, 0xb04040404000000,
+ 0xa04040000000000, 0xb04040400000000, 0xa04040000000000, 0xa04040000000000,
+ 0xb04040000000000, 0xa04040000000000, 0xb04040000000000, 0xb04040000000000,
+ 0x1b04000000000000, 0xb04040000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xa04040404000000, 0x1b04000000000000, 0xa04040400000000, 0xa04040404000000,
+ 0x1b04000000000000, 0xa04040400000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xa04040000000000, 0x1b04000000000000, 0xa04040000000000, 0xa04040000000000,
+ 0x1a04000000000000, 0xa04040000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x1b04000000000000, 0x1a04000000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0x1a04000000000000, 0x1b04000000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x1b04000000000000, 0x1a04000000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0x3b04040404040404, 0x1b04000000000000, 0x3b04040400000000, 0x3b04040404040400,
+ 0x1a04000000000000, 0x3b04040400000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x3b04040000000000, 0x1a04000000000000, 0x3b04040000000000, 0x3b04040000000000,
+ 0x1a04000000000000, 0x3b04040000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x3a04040404040404, 0x1a04000000000000, 0x3a04040400000000, 0x3a04040404040400,
+ 0xfb04040404040000, 0x3a04040400000000, 0xfb04040400000000, 0xfb04040404040000,
+ 0x3a04040000000000, 0xfb04040400000000, 0x3a04040000000000, 0x3a04040000000000,
+ 0x7b04040000000000, 0x3a04040000000000, 0x7b04040000000000, 0x7b04040000000000,
+ 0xb04000000000000, 0x7b04040000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xfa04040404040000, 0xb04000000000000, 0xfa04040400000000, 0xfa04040404040000,
+ 0xb04000000000000, 0xfa04040400000000, 0xb04000000000000, 0xb04000000000000,
+ 0x7a04040000000000, 0xb04000000000000, 0x7a04040000000000, 0x7a04040000000000,
+ 0xa04000000000000, 0x7a04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xa04000000000000, 0xb04000000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xb04040404040404, 0xb04000000000000, 0xb04040400000000, 0xb04040404040400,
+ 0xa04000000000000, 0xb04040400000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04040000000000, 0xa04000000000000, 0xb04040000000000, 0xb04040000000000,
+ 0xa04000000000000, 0xb04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xa04040404040404, 0xa04000000000000, 0xa04040400000000, 0xa04040404040400,
+ 0xb04040404040000, 0xa04040400000000, 0xb04040400000000, 0xb04040404040000,
+ 0xa04040000000000, 0xb04040400000000, 0xa04040000000000, 0xa04040000000000,
+ 0xb04040000000000, 0xa04040000000000, 0xb04040000000000, 0xb04040000000000,
+ 0x3b04000000000000, 0xb04040000000000, 0x3b04000000000000, 0x3b04000000000000,
+ 0xa04040404040000, 0x3b04000000000000, 0xa04040400000000, 0xa04040404040000,
+ 0x3b04000000000000, 0xa04040400000000, 0x3b04000000000000, 0x3b04000000000000,
+ 0xa04040000000000, 0x3b04000000000000, 0xa04040000000000, 0xa04040000000000,
+ 0x3a04000000000000, 0xa04040000000000, 0x3a04000000000000, 0x3a04000000000000,
+ 0xfb04000000000000, 0x3a04000000000000, 0xfb04000000000000, 0xfb04000000000000,
+ 0x3a04000000000000, 0xfb04000000000000, 0x3a04000000000000, 0x3a04000000000000,
+ 0x7b04000000000000, 0x3a04000000000000, 0x7b04000000000000, 0x7b04000000000000,
+ 0x1b04040404040404, 0x7b04000000000000, 0x1b04040400000000, 0x1b04040404040400,
+ 0xfa04000000000000, 0x1b04040400000000, 0xfa04000000000000, 0xfa04000000000000,
+ 0x1b04040000000000, 0xfa04000000000000, 0x1b04040000000000, 0x1b04040000000000,
+ 0x7a04000000000000, 0x1b04040000000000, 0x7a04000000000000, 0x7a04000000000000,
+ 0x1a04040404040404, 0x7a04000000000000, 0x1a04040400000000, 0x1a04040404040400,
+ 0x1b04040404040000, 0x1a04040400000000, 0x1b04040400000000, 0x1b04040404040000,
+ 0x1a04040000000000, 0x1b04040400000000, 0x1a04040000000000, 0x1a04040000000000,
+ 0x1b04040000000000, 0x1a04040000000000, 0x1b04040000000000, 0x1b04040000000000,
+ 0xb04000000000000, 0x1b04040000000000, 0xb04000000000000, 0xb04000000000000,
+ 0x1a04040404040000, 0xb04000000000000, 0x1a04040400000000, 0x1a04040404040000,
+ 0xb04000000000000, 0x1a04040400000000, 0xb04000000000000, 0xb04000000000000,
+ 0x1a04040000000000, 0xb04000000000000, 0x1a04040000000000, 0x1a04040000000000,
+ 0xa04000000000000, 0x1a04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xa04000000000000, 0xb04000000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xb04040404040404, 0xb04000000000000, 0xb04040400000000, 0xb04040404040400,
+ 0xa04000000000000, 0xb04040400000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04040000000000, 0xa04000000000000, 0xb04040000000000, 0xb04040000000000,
+ 0xa04000000000000, 0xb04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xa04040404040404, 0xa04000000000000, 0xa04040400000000, 0xa04040404040400,
+ 0xb04040404040000, 0xa04040400000000, 0xb04040400000000, 0xb04040404040000,
+ 0xa04040000000000, 0xb04040400000000, 0xa04040000000000, 0xa04040000000000,
+ 0xb04040000000000, 0xa04040000000000, 0xb04040000000000, 0xb04040000000000,
+ 0x1b04000000000000, 0xb04040000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xa04040404040000, 0x1b04000000000000, 0xa04040400000000, 0xa04040404040000,
+ 0x1b04000000000000, 0xa04040400000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xa04040000000000, 0x1b04000000000000, 0xa04040000000000, 0xa04040000000000,
+ 0x1a04000000000000, 0xa04040000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x1b04000000000000, 0x1a04000000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0x1a04000000000000, 0x1b04000000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x1b04000000000000, 0x1a04000000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xfb04040404000000, 0x1b04000000000000, 0xfb04040400000000, 0xfb04040404000000,
+ 0x1a04000000000000, 0xfb04040400000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x7b04040000000000, 0x1a04000000000000, 0x7b04040000000000, 0x7b04040000000000,
+ 0x1a04000000000000, 0x7b04040000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0xfa04040404000000, 0x1a04000000000000, 0xfa04040400000000, 0xfa04040404000000,
+ 0x3b04040404040000, 0xfa04040400000000, 0x3b04040400000000, 0x3b04040404040000,
+ 0x7a04040000000000, 0x3b04040400000000, 0x7a04040000000000, 0x7a04040000000000,
+ 0x3b04040000000000, 0x7a04040000000000, 0x3b04040000000000, 0x3b04040000000000,
+ 0xb04000000000000, 0x3b04040000000000, 0xb04000000000000, 0xb04000000000000,
+ 0x3a04040404040000, 0xb04000000000000, 0x3a04040400000000, 0x3a04040404040000,
+ 0xb04000000000000, 0x3a04040400000000, 0xb04000000000000, 0xb04000000000000,
+ 0x3a04040000000000, 0xb04000000000000, 0x3a04040000000000, 0x3a04040000000000,
+ 0xa04000000000000, 0x3a04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xa04000000000000, 0xb04000000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xb04040404000000, 0xb04000000000000, 0xb04040400000000, 0xb04040404000000,
+ 0xa04000000000000, 0xb04040400000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04040000000000, 0xa04000000000000, 0xb04040000000000, 0xb04040000000000,
+ 0xa04000000000000, 0xb04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xa04040404000000, 0xa04000000000000, 0xa04040400000000, 0xa04040404000000,
+ 0xb04040404040000, 0xa04040400000000, 0xb04040400000000, 0xb04040404040000,
+ 0xa04040000000000, 0xb04040400000000, 0xa04040000000000, 0xa04040000000000,
+ 0xb04040000000000, 0xa04040000000000, 0xb04040000000000, 0xb04040000000000,
+ 0xfb04000000000000, 0xb04040000000000, 0xfb04000000000000, 0xfb04000000000000,
+ 0xa04040404040000, 0xfb04000000000000, 0xa04040400000000, 0xa04040404040000,
+ 0x7b04000000000000, 0xa04040400000000, 0x7b04000000000000, 0x7b04000000000000,
+ 0xa04040000000000, 0x7b04000000000000, 0xa04040000000000, 0xa04040000000000,
+ 0xfa04000000000000, 0xa04040000000000, 0xfa04000000000000, 0xfa04000000000000,
+ 0x3b04000000000000, 0xfa04000000000000, 0x3b04000000000000, 0x3b04000000000000,
+ 0x7a04000000000000, 0x3b04000000000000, 0x7a04000000000000, 0x7a04000000000000,
+ 0x3b04000000000000, 0x7a04000000000000, 0x3b04000000000000, 0x3b04000000000000,
+ 0x1b04040404000000, 0x3b04000000000000, 0x1b04040400000000, 0x1b04040404000000,
+ 0x3a04000000000000, 0x1b04040400000000, 0x3a04000000000000, 0x3a04000000000000,
+ 0x1b04040000000000, 0x3a04000000000000, 0x1b04040000000000, 0x1b04040000000000,
+ 0x3a04000000000000, 0x1b04040000000000, 0x3a04000000000000, 0x3a04000000000000,
+ 0x1a04040404000000, 0x3a04000000000000, 0x1a04040400000000, 0x1a04040404000000,
+ 0x1b04040404040000, 0x1a04040400000000, 0x1b04040400000000, 0x1b04040404040000,
+ 0x1a04040000000000, 0x1b04040400000000, 0x1a04040000000000, 0x1a04040000000000,
+ 0x1b04040000000000, 0x1a04040000000000, 0x1b04040000000000, 0x1b04040000000000,
+ 0xb04000000000000, 0x1b04040000000000, 0xb04000000000000, 0xb04000000000000,
+ 0x1a04040404040000, 0xb04000000000000, 0x1a04040400000000, 0x1a04040404040000,
+ 0xb04000000000000, 0x1a04040400000000, 0xb04000000000000, 0xb04000000000000,
+ 0x1a04040000000000, 0xb04000000000000, 0x1a04040000000000, 0x1a04040000000000,
+ 0xa04000000000000, 0x1a04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xa04000000000000, 0xb04000000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04000000000000, 0xa04000000000000, 0xb04000000000000, 0xb04000000000000,
+ 0xb04040404000000, 0xb04000000000000, 0xb04040400000000, 0xb04040404000000,
+ 0xa04000000000000, 0xb04040400000000, 0xa04000000000000, 0xa04000000000000,
+ 0xb04040000000000, 0xa04000000000000, 0xb04040000000000, 0xb04040000000000,
+ 0xa04000000000000, 0xb04040000000000, 0xa04000000000000, 0xa04000000000000,
+ 0xa04040404000000, 0xa04000000000000, 0xa04040400000000, 0xa04040404000000,
+ 0xb04040404040000, 0xa04040400000000, 0xb04040400000000, 0xb04040404040000,
+ 0xa04040000000000, 0xb04040400000000, 0xa04040000000000, 0xa04040000000000,
+ 0xb04040000000000, 0xa04040000000000, 0xb04040000000000, 0xb04040000000000,
+ 0x1b04000000000000, 0xb04040000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xa04040404040000, 0x1b04000000000000, 0xa04040400000000, 0xa04040404040000,
+ 0x1b04000000000000, 0xa04040400000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0xa04040000000000, 0x1b04000000000000, 0xa04040000000000, 0xa04040000000000,
+ 0x1a04000000000000, 0xa04040000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x1b04000000000000, 0x1a04000000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0x1a04000000000000, 0x1b04000000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x1b04000000000000, 0x1a04000000000000, 0x1b04000000000000, 0x1b04000000000000,
+ 0x3b04040404000000, 0x1b04000000000000, 0x3b04040400000000, 0x3b04040404000000,
+ 0x1a04000000000000, 0x3b04040400000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x3b04040000000000, 0x1a04000000000000, 0x3b04040000000000, 0x3b04040000000000,
+ 0x1a04000000000000, 0x3b04040000000000, 0x1a04000000000000, 0x1a04000000000000,
+ 0x3a04040404000000, 0x1a04000000000000, 0x3a04040400000000, 0x3a04040404000000,
+ 0x7b04040404040000, 0x3a04040400000000, 0x7b04040400000000, 0x7b04040404040000,
+ 0x3a04040000000000, 0x7b04040400000000, 0x3a04040000000000, 0x3a04040000000000,
+ 0xfb04040000000000, 0x3a04040000000000, 0xfb04040000000000, 0xfb04040000000000,
+ 0xb04000000000000, 0xfb04040000000000, 0xb04000000000000, 0xb04000000000000,
+ 0x7a04040404040000, 0xb04000000000000, 0x7a04040400000000, 0x7a04040404040000,
+ 0xb04000000000000, 0x7a04040400000000, 0xb04000000000000, 0xb04000000000000,
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+ 0x1408080808080000, 0x1408000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x7708080800000000, 0x7708000000000000, 0x1408080808080000, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x7708080800000000, 0x7708000000000000,
+ 0x7708080800000000, 0x7708000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1408080808080808, 0x1408000000000000, 0x7708080800000000, 0x7708000000000000,
+ 0xf608080800000000, 0xf608000000000000, 0x1408080808080800, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0xf608080800000000, 0xf608000000000000,
+ 0xf608080800000000, 0xf608000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0xf608080800000000, 0xf608000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x7608080808080000, 0x7608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x7608080808080000, 0x7608000000000000,
+ 0x7608080808000000, 0x7608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x7608080808000000, 0x7608000000000000,
+ 0xf408080808080808, 0xf408000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0xf408080808080800, 0xf408000000000000,
+ 0xf408080808000000, 0xf408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0xf408080808000000, 0xf408000000000000,
+ 0x1408080808080000, 0x1408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x7608080800000000, 0x7608000000000000, 0x1408080808080000, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x7608080800000000, 0x7608000000000000,
+ 0x7608080800000000, 0x7608000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1708080808080000, 0x1708000000000000, 0x7608080800000000, 0x7608000000000000,
+ 0xf408080800000000, 0xf408000000000000, 0x1708080808080000, 0x1708000000000000,
+ 0x1708080808000000, 0x1708000000000000, 0xf408080800000000, 0xf408000000000000,
+ 0xf408080800000000, 0xf408000000000000, 0x1708080808000000, 0x1708000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0xf408080800000000, 0xf408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x7408080808080000, 0x7408000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1708080800000000, 0x1708000000000000, 0x7408080808080000, 0x7408000000000000,
+ 0x7408080808000000, 0x7408000000000000, 0x1708080800000000, 0x1708000000000000,
+ 0x1708080800000000, 0x1708000000000000, 0x7408080808000000, 0x7408000000000000,
+ 0xf408080808080808, 0xf408000000000000, 0x1708080800000000, 0x1708000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0xf408080808080800, 0xf408000000000000,
+ 0xf408080808000000, 0xf408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0xf408080808000000, 0xf408000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x7408080800000000, 0x7408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x7408080800000000, 0x7408000000000000,
+ 0x7408080800000000, 0x7408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x1608080808080000, 0x1608000000000000, 0x7408080800000000, 0x7408000000000000,
+ 0xf408080800000000, 0xf408000000000000, 0x1608080808080000, 0x1608000000000000,
+ 0x1608080808000000, 0x1608000000000000, 0xf408080800000000, 0xf408000000000000,
+ 0xf408080800000000, 0xf408000000000000, 0x1608080808000000, 0x1608000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0xf408080800000000, 0xf408000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x7408080808080000, 0x7408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x1608080800000000, 0x1608000000000000, 0x7408080808080000, 0x7408000000000000,
+ 0x7408080808000000, 0x7408000000000000, 0x1608080800000000, 0x1608000000000000,
+ 0x1608080800000000, 0x1608000000000000, 0x7408080808000000, 0x7408000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1608080800000000, 0x1608000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x7408080800000000, 0x7408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x7408080800000000, 0x7408000000000000,
+ 0x7408080800000000, 0x7408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x1408080808080000, 0x1408000000000000, 0x7408080800000000, 0x7408000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1408080808080000, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1708080808080808, 0x1708000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1708080808080800, 0x1708000000000000,
+ 0x1708080808000000, 0x1708000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1708080808000000, 0x1708000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1708080800000000, 0x1708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080800000000, 0x1708000000000000,
+ 0x1708080800000000, 0x1708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x1408080808080000, 0x1408000000000000, 0x1708080800000000, 0x1708000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080808080000, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1608080808080808, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1608080808080800, 0x1608000000000000,
+ 0x1608080808000000, 0x1608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1608080808000000, 0x1608000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1608080800000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1608080800000000, 0x1608000000000000,
+ 0x1608080800000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x7708080808080808, 0x7708000000000000, 0x1608080800000000, 0x1608000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x7708080808080800, 0x7708000000000000,
+ 0x7708080808000000, 0x7708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x7708080808000000, 0x7708000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1408080808080808, 0x1408000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x7708080800000000, 0x7708000000000000, 0x1408080808080800, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x7708080800000000, 0x7708000000000000,
+ 0x7708080800000000, 0x7708000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x7708080800000000, 0x7708000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0xf708080000000000, 0xf708000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0xf708080000000000, 0xf708000000000000,
+ 0xf708080000000000, 0xf708000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0xf708080000000000, 0xf708000000000000,
+ 0x7608080808080808, 0x7608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x7608080808080800, 0x7608000000000000,
+ 0x7608080808000000, 0x7608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x7608080808000000, 0x7608000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0xf708080000000000, 0xf708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0xf708080000000000, 0xf708000000000000,
+ 0xf708080000000000, 0xf708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080808080808, 0x1408000000000000, 0xf708080000000000, 0xf708000000000000,
+ 0x7608080800000000, 0x7608000000000000, 0x1408080808080800, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x7608080800000000, 0x7608000000000000,
+ 0x7608080800000000, 0x7608000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1708080808080808, 0x1708000000000000, 0x7608080800000000, 0x7608000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x1708080808080800, 0x1708000000000000,
+ 0x1708080808000000, 0x1708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x1708080808000000, 0x1708000000000000,
+ 0xf608080000000000, 0xf608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0xf608080000000000, 0xf608000000000000,
+ 0xf608080000000000, 0xf608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0xf608080000000000, 0xf608000000000000,
+ 0x7408080808080808, 0x7408000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1708080800000000, 0x1708000000000000, 0x7408080808080800, 0x7408000000000000,
+ 0x7408080808000000, 0x7408000000000000, 0x1708080800000000, 0x1708000000000000,
+ 0x1708080800000000, 0x1708000000000000, 0x7408080808000000, 0x7408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x1708080800000000, 0x1708000000000000,
+ 0xf608080000000000, 0xf608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0xf608080000000000, 0xf608000000000000,
+ 0xf608080000000000, 0xf608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1708080808080000, 0x1708000000000000, 0xf608080000000000, 0xf608000000000000,
+ 0x7408080800000000, 0x7408000000000000, 0x1708080808080000, 0x1708000000000000,
+ 0x1708080808000000, 0x1708000000000000, 0x7408080800000000, 0x7408000000000000,
+ 0x7408080800000000, 0x7408000000000000, 0x1708080808000000, 0x1708000000000000,
+ 0x1608080808080808, 0x1608000000000000, 0x7408080800000000, 0x7408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x1608080808080800, 0x1608000000000000,
+ 0x1608080808000000, 0x1608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x1608080808000000, 0x1608000000000000,
+ 0xf408080000000000, 0xf408000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1708080800000000, 0x1708000000000000, 0xf408080000000000, 0xf408000000000000,
+ 0xf408080000000000, 0xf408000000000000, 0x1708080800000000, 0x1708000000000000,
+ 0x1708080800000000, 0x1708000000000000, 0xf408080000000000, 0xf408000000000000,
+ 0x7408080808080808, 0x7408000000000000, 0x1708080800000000, 0x1708000000000000,
+ 0x1608080800000000, 0x1608000000000000, 0x7408080808080800, 0x7408000000000000,
+ 0x7408080808000000, 0x7408000000000000, 0x1608080800000000, 0x1608000000000000,
+ 0x1608080800000000, 0x1608000000000000, 0x7408080808000000, 0x7408000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1608080800000000, 0x1608000000000000,
+ 0xf408080000000000, 0xf408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0xf408080000000000, 0xf408000000000000,
+ 0xf408080000000000, 0xf408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x1608080808080000, 0x1608000000000000, 0xf408080000000000, 0xf408000000000000,
+ 0x7408080800000000, 0x7408000000000000, 0x1608080808080000, 0x1608000000000000,
+ 0x1608080808000000, 0x1608000000000000, 0x7408080800000000, 0x7408000000000000,
+ 0x7408080800000000, 0x7408000000000000, 0x1608080808000000, 0x1608000000000000,
+ 0x1408080808080808, 0x1408000000000000, 0x7408080800000000, 0x7408000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1408080808080800, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x3708080000000000, 0x3708000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0xf408080000000000, 0xf408000000000000, 0x3708080000000000, 0x3708000000000000,
+ 0x1608080800000000, 0x1608000000000000, 0xf408080000000000, 0xf408000000000000,
+ 0xf408080000000000, 0xf408000000000000, 0x1608080800000000, 0x1608000000000000,
+ 0x1608080800000000, 0x1608000000000000, 0xf408080000000000, 0xf408000000000000,
+ 0x3708080808080000, 0x3708000000000000, 0x1608080800000000, 0x1608000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x3708080808080000, 0x3708000000000000,
+ 0x3708080808000000, 0x3708000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x3708080808000000, 0x3708000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0xf408080000000000, 0xf408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0xf408080000000000, 0xf408000000000000,
+ 0xf408080000000000, 0xf408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x1408080808080000, 0x1408000000000000, 0xf408080000000000, 0xf408000000000000,
+ 0x3708080800000000, 0x3708000000000000, 0x1408080808080000, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x3708080800000000, 0x3708000000000000,
+ 0x3708080800000000, 0x3708000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1408080808080808, 0x1408000000000000, 0x3708080800000000, 0x3708000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080808080800, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x3608080000000000, 0x3608000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3608080000000000, 0x3608000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x3608080808080000, 0x3608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x3608080808080000, 0x3608000000000000,
+ 0x3608080808000000, 0x3608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x3608080808000000, 0x3608000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x1408080808080000, 0x1408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x3608080800000000, 0x3608000000000000, 0x1408080808080000, 0x1408000000000000,
+ 0x1408080808000000, 0x1408000000000000, 0x3608080800000000, 0x3608000000000000,
+ 0x3608080800000000, 0x3608000000000000, 0x1408080808000000, 0x1408000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3608080800000000, 0x3608000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1408080800000000, 0x1408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x3408080808080000, 0x3408000000000000, 0x1408080800000000, 0x1408000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3408080808080000, 0x3408000000000000,
+ 0x3408080808000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1708080000000000, 0x1708000000000000, 0x3408080808000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1708080000000000, 0x1708000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0xf708080000000000, 0xf708000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x3408080800000000, 0x3408000000000000, 0xf708080000000000, 0xf708000000000000,
+ 0xf708080000000000, 0xf708000000000000, 0x3408080800000000, 0x3408000000000000,
+ 0x3408080800000000, 0x3408000000000000, 0xf708080000000000, 0xf708000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080800000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0x3408080000000000, 0x3408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3408080000000000, 0x3408000000000000,
+ 0xf708080000000000, 0xf708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0xf708080000000000, 0xf708000000000000,
+ 0xf708080000000000, 0xf708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x3408080808080000, 0x3408000000000000, 0xf708080000000000, 0xf708000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080808080000, 0x3408000000000000,
+ 0x3408080808000000, 0x3408000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1608080000000000, 0x1608000000000000, 0x3408080808000000, 0x3408000000000000,
+ 0x7708080000000000, 0x7708000000000000, 0x1608080000000000, 0x1608000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x7708080000000000, 0x7708000000000000,
+ 0x7708080000000000, 0x7708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x7708080000000000, 0x7708000000000000,
+ 0xf608080000000000, 0xf608000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x3408080800000000, 0x3408000000000000, 0xf608080000000000, 0xf608000000000000,
+ 0xf608080000000000, 0xf608000000000000, 0x3408080800000000, 0x3408000000000000,
+ 0x3408080800000000, 0x3408000000000000, 0xf608080000000000, 0xf608000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x3408080800000000, 0x3408000000000000,
+ 0x7708080000000000, 0x7708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x7708080000000000, 0x7708000000000000,
+ 0x7708080000000000, 0x7708000000000000, 0x1408080000000000, 0x1408000000000000,
+ 0x1408080000000000, 0x1408000000000000, 0x7708080000000000, 0x7708000000000000,
+ 0xf608080000000000, 0xf608000000000000, 0x1408080000000000, 0x1408000000000000,
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+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ },
+ .{
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+ 0x2f10101010000000, 0x2810000000000000, 0xef10101010100000, 0x6810000000000000,
+ 0x2810100000000000, 0x6c10000000000000, 0x2f10101010000000, 0x2810000000000000,
+ 0xe810100000000000, 0x2c10000000000000, 0x2810100000000000, 0x6c10000000000000,
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+ 0x2810100000000000, 0x2810000000000000, 0x2f10101000000000, 0x2f10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2e10101010101010, 0x6f10000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0xee10101010000000, 0x2f10000000000000, 0x2e10101010100000, 0x6f10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0xee10101010000000, 0x2f10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0x2e10101000000000, 0x2e10000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x6e10101000000000, 0xee10000000000000, 0x2e10101000000000, 0x2e10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x6e10101000000000, 0xee10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x6c10101010101010, 0x2e10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2c10101010000000, 0x6e10000000000000, 0x6c10101010100000, 0x2e10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0x2c10101010000000, 0x6e10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0xec10101000000000, 0x6c10000000000000, 0x6810100000000000, 0x2810000000000000,
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+ 0x2810100000000000, 0x2810000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2c10101010101010, 0xec10000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x6c10101010000000, 0x2c10000000000000, 0x2c10101010100000, 0xec10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x6c10101010000000, 0x2c10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x2810100000000000, 0xe810000000000000,
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+ 0x6810100000000000, 0xe810000000000000, 0xec10101000000000, 0x6c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0xe810101010101010, 0x2c10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2810101010000000, 0xec10000000000000, 0xe810101010100000, 0x2c10000000000000,
+ 0xef10100000000000, 0x6810000000000000, 0x2810101010000000, 0xec10000000000000,
+ 0x2f10100000000000, 0x2810000000000000, 0xef10100000000000, 0x6810000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2f10100000000000, 0x2810000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6f10100000000000, 0xef10000000000000, 0x2810101000000000, 0x2810000000000000,
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+ 0x2810101010101010, 0x6810000000000000, 0x2f10100000000000, 0x2f10000000000000,
+ 0xe810101010000000, 0x2810000000000000, 0x2810101010100000, 0x6810000000000000,
+ 0x2e10100000000000, 0x6f10000000000000, 0xe810101010000000, 0x2810000000000000,
+ 0xee10100000000000, 0x2f10000000000000, 0x2e10100000000000, 0x6f10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xee10100000000000, 0x2f10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2e10100000000000, 0x2e10000000000000, 0x6810101000000000, 0xe810000000000000,
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+ 0x6810101010101010, 0x2810000000000000, 0x6e10100000000000, 0xee10000000000000,
+ 0x2810101010000000, 0x6810000000000000, 0x6810101010100000, 0x2810000000000000,
+ 0x6c10100000000000, 0x2e10000000000000, 0x2810101010000000, 0x6810000000000000,
+ 0x2c10100000000000, 0x6e10000000000000, 0x6c10100000000000, 0x2e10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2c10100000000000, 0x6e10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xec10100000000000, 0x6c10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0xec10100000000000, 0x6c10000000000000,
+ 0x2810101010101010, 0xe810000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x6810101010000000, 0x2810000000000000, 0x2810101010100000, 0xe810000000000000,
+ 0x2c10100000000000, 0xec10000000000000, 0x6810101010000000, 0x2810000000000000,
+ 0x6c10100000000000, 0x2c10000000000000, 0x2c10100000000000, 0xec10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6c10100000000000, 0x2c10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xec10100000000000, 0x6c10000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0xef10101010101000, 0x2810000000000000, 0xec10100000000000, 0x6c10000000000000,
+ 0x2f10101010000000, 0xe810000000000000, 0xef10101010100000, 0x2810000000000000,
+ 0xe810100000000000, 0x2c10000000000000, 0x2f10101010000000, 0xe810000000000000,
+ 0x2810100000000000, 0xec10000000000000, 0xe810100000000000, 0x2c10000000000000,
+ 0x6f10101000000000, 0xef10000000000000, 0x2810100000000000, 0xec10000000000000,
+ 0x2f10101000000000, 0x2f10000000000000, 0x6f10101000000000, 0xef10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2f10101000000000, 0x2f10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0x2e10101010101000, 0x6f10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0xee10101010000000, 0x2f10000000000000, 0x2e10101010100000, 0x6f10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0xee10101010000000, 0x2f10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x2e10101000000000, 0x2e10000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x6e10101000000000, 0xee10000000000000, 0x2e10101000000000, 0x2e10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6e10101000000000, 0xee10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x6c10101010101000, 0x2e10000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0x2c10101010000000, 0x6e10000000000000, 0x6c10101010100000, 0x2e10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2c10101010000000, 0x6e10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0xec10101000000000, 0x6c10000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0xec10101000000000, 0x6c10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x2c10101010101000, 0xec10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x6c10101010000000, 0x2c10000000000000, 0x2c10101010100000, 0xec10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0x6c10101010000000, 0x2c10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0xec10101000000000, 0x6c10000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xec10101000000000, 0x6c10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0xe810101010101000, 0x2c10000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x2810101010000000, 0xec10000000000000, 0xe810101010100000, 0x2c10000000000000,
+ 0xef10100000000000, 0x2810000000000000, 0x2810101010000000, 0xec10000000000000,
+ 0x2f10100000000000, 0xe810000000000000, 0xef10100000000000, 0x2810000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2f10100000000000, 0xe810000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6f10100000000000, 0xef10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2f10100000000000, 0x2f10000000000000, 0x6f10100000000000, 0xef10000000000000,
+ 0x2810101010101000, 0x6810000000000000, 0x2f10100000000000, 0x2f10000000000000,
+ 0xe810101010000000, 0x2810000000000000, 0x2810101010100000, 0x6810000000000000,
+ 0x2e10100000000000, 0x6f10000000000000, 0xe810101010000000, 0x2810000000000000,
+ 0xee10100000000000, 0x2f10000000000000, 0x2e10100000000000, 0x6f10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xee10100000000000, 0x2f10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2e10100000000000, 0x2e10000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6e10100000000000, 0xee10000000000000, 0x2e10100000000000, 0x2e10000000000000,
+ 0x6810101010101000, 0x2810000000000000, 0x6e10100000000000, 0xee10000000000000,
+ 0x2810101010000000, 0x6810000000000000, 0x6810101010100000, 0x2810000000000000,
+ 0x6c10100000000000, 0x2e10000000000000, 0x2810101010000000, 0x6810000000000000,
+ 0x2c10100000000000, 0x6e10000000000000, 0x6c10100000000000, 0x2e10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2c10100000000000, 0x6e10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xec10100000000000, 0x6c10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0xec10100000000000, 0x6c10000000000000,
+ 0x2810101010101000, 0xe810000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x6810101010000000, 0x2810000000000000, 0x2810101010100000, 0xe810000000000000,
+ 0x2c10100000000000, 0xec10000000000000, 0x6810101010000000, 0x2810000000000000,
+ 0x6c10100000000000, 0x2c10000000000000, 0x2c10100000000000, 0xec10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6c10100000000000, 0x2c10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xec10100000000000, 0x6c10000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x2f10101010101010, 0x2810000000000000, 0xec10100000000000, 0x6c10000000000000,
+ 0x6f10101010000000, 0xe810000000000000, 0x2f10101010100000, 0x2810000000000000,
+ 0xe810100000000000, 0x2c10000000000000, 0x6f10101010000000, 0xe810000000000000,
+ 0x2810100000000000, 0xec10000000000000, 0xe810100000000000, 0x2c10000000000000,
+ 0x2f10101000000000, 0x2f10000000000000, 0x2810100000000000, 0xec10000000000000,
+ 0xef10101000000000, 0x6f10000000000000, 0x2f10101000000000, 0x2f10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0xef10101000000000, 0x6f10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0xee10101010101010, 0x2f10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2e10101010000000, 0xef10000000000000, 0xee10101010100000, 0x2f10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x2e10101010000000, 0xef10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x6e10101000000000, 0xee10000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x2e10101000000000, 0x2e10000000000000, 0x6e10101000000000, 0xee10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x2e10101000000000, 0x2e10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2c10101010101010, 0x6e10000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0xec10101010000000, 0x2e10000000000000, 0x2c10101010100000, 0x6e10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0xec10101010000000, 0x2e10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x6c10101000000000, 0xec10000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x6c10101000000000, 0xec10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x6c10101010101010, 0x2c10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2c10101010000000, 0x6c10000000000000, 0x6c10101010100000, 0x2c10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0x2c10101010000000, 0x6c10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0xec10101000000000, 0x6c10000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0xec10101000000000, 0x6c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2810101010101010, 0xec10000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x6810101010000000, 0x2c10000000000000, 0x2810101010100000, 0xec10000000000000,
+ 0x2f10100000000000, 0x2810000000000000, 0x6810101010000000, 0x2c10000000000000,
+ 0x6f10100000000000, 0xe810000000000000, 0x2f10100000000000, 0x2810000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6f10100000000000, 0xe810000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2f10100000000000, 0x2f10000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xef10100000000000, 0x6f10000000000000, 0x2f10100000000000, 0x2f10000000000000,
+ 0xe810101010101010, 0x2810000000000000, 0xef10100000000000, 0x6f10000000000000,
+ 0x2810101010000000, 0xe810000000000000, 0xe810101010100000, 0x2810000000000000,
+ 0xee10100000000000, 0x2f10000000000000, 0x2810101010000000, 0xe810000000000000,
+ 0x2e10100000000000, 0xef10000000000000, 0xee10100000000000, 0x2f10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2e10100000000000, 0xef10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6e10100000000000, 0xee10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2e10100000000000, 0x2e10000000000000, 0x6e10100000000000, 0xee10000000000000,
+ 0x2810101010101010, 0x6810000000000000, 0x2e10100000000000, 0x2e10000000000000,
+ 0xe810101010000000, 0x2810000000000000, 0x2810101010100000, 0x6810000000000000,
+ 0x2c10100000000000, 0x6e10000000000000, 0xe810101010000000, 0x2810000000000000,
+ 0xec10100000000000, 0x2e10000000000000, 0x2c10100000000000, 0x6e10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xec10100000000000, 0x2e10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6c10100000000000, 0xec10000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x6810101010101010, 0x2810000000000000, 0x6c10100000000000, 0xec10000000000000,
+ 0x2810101010000000, 0x6810000000000000, 0x6810101010100000, 0x2810000000000000,
+ 0x6c10100000000000, 0x2c10000000000000, 0x2810101010000000, 0x6810000000000000,
+ 0x2c10100000000000, 0x6c10000000000000, 0x6c10100000000000, 0x2c10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2c10100000000000, 0x6c10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xec10100000000000, 0x6c10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0xec10100000000000, 0x6c10000000000000,
+ 0x2f10101010101000, 0xe810000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x6f10101010000000, 0x2810000000000000, 0x2f10101010100000, 0xe810000000000000,
+ 0x2810100000000000, 0xec10000000000000, 0x6f10101010000000, 0x2810000000000000,
+ 0x6810100000000000, 0x2c10000000000000, 0x2810100000000000, 0xec10000000000000,
+ 0x2f10101000000000, 0x2f10000000000000, 0x6810100000000000, 0x2c10000000000000,
+ 0xef10101000000000, 0x6f10000000000000, 0x2f10101000000000, 0x2f10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xef10101000000000, 0x6f10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0xee10101010101000, 0x2f10000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x2e10101010000000, 0xef10000000000000, 0xee10101010100000, 0x2f10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2e10101010000000, 0xef10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x6e10101000000000, 0xee10000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0x2e10101000000000, 0x2e10000000000000, 0x6e10101000000000, 0xee10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2e10101000000000, 0x2e10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0x2c10101010101000, 0x6e10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0xec10101010000000, 0x2e10000000000000, 0x2c10101010100000, 0x6e10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0xec10101010000000, 0x2e10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x6c10101000000000, 0xec10000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6c10101000000000, 0xec10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x6c10101010101000, 0x2c10000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0x2c10101010000000, 0x6c10000000000000, 0x6c10101010100000, 0x2c10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2c10101010000000, 0x6c10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0xec10101000000000, 0x6c10000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0xec10101000000000, 0x6c10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x2810101010101000, 0xec10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x6810101010000000, 0x2c10000000000000, 0x2810101010100000, 0xec10000000000000,
+ 0x2f10100000000000, 0xe810000000000000, 0x6810101010000000, 0x2c10000000000000,
+ 0x6f10100000000000, 0x2810000000000000, 0x2f10100000000000, 0xe810000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6f10100000000000, 0x2810000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2f10100000000000, 0x2f10000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xef10100000000000, 0x6f10000000000000, 0x2f10100000000000, 0x2f10000000000000,
+ 0xe810101010101000, 0x2810000000000000, 0xef10100000000000, 0x6f10000000000000,
+ 0x2810101010000000, 0xe810000000000000, 0xe810101010100000, 0x2810000000000000,
+ 0xee10100000000000, 0x2f10000000000000, 0x2810101010000000, 0xe810000000000000,
+ 0x2e10100000000000, 0xef10000000000000, 0xee10100000000000, 0x2f10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2e10100000000000, 0xef10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6e10100000000000, 0xee10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2e10100000000000, 0x2e10000000000000, 0x6e10100000000000, 0xee10000000000000,
+ 0x2810101010101000, 0x6810000000000000, 0x2e10100000000000, 0x2e10000000000000,
+ 0xe810101010000000, 0x2810000000000000, 0x2810101010100000, 0x6810000000000000,
+ 0x2c10100000000000, 0x6e10000000000000, 0xe810101010000000, 0x2810000000000000,
+ 0xec10100000000000, 0x2e10000000000000, 0x2c10100000000000, 0x6e10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xec10100000000000, 0x2e10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6c10100000000000, 0xec10000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x6810101010101000, 0x2810000000000000, 0x6c10100000000000, 0xec10000000000000,
+ 0x2810101010000000, 0x6810000000000000, 0x6810101010100000, 0x2810000000000000,
+ 0x6c10100000000000, 0x2c10000000000000, 0x2810101010000000, 0x6810000000000000,
+ 0x2c10100000000000, 0x6c10000000000000, 0x6c10100000000000, 0x2c10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2c10100000000000, 0x6c10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xec10100000000000, 0x6c10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0xec10100000000000, 0x6c10000000000000,
+ 0x6f10101010101010, 0xe810000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x2f10101010000000, 0x2810000000000000, 0x6f10101010100000, 0xe810000000000000,
+ 0x2810100000000000, 0xec10000000000000, 0x2f10101010000000, 0x2810000000000000,
+ 0x6810100000000000, 0x2c10000000000000, 0x2810100000000000, 0xec10000000000000,
+ 0xef10101000000000, 0x6f10000000000000, 0x6810100000000000, 0x2c10000000000000,
+ 0x2f10101000000000, 0x2f10000000000000, 0xef10101000000000, 0x6f10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x2f10101000000000, 0x2f10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2e10101010101010, 0xef10000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x6e10101010000000, 0x2f10000000000000, 0x2e10101010100000, 0xef10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x6e10101010000000, 0x2f10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x2e10101000000000, 0x2e10000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0xee10101000000000, 0x6e10000000000000, 0x2e10101000000000, 0x2e10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0xee10101000000000, 0x6e10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0xec10101010101010, 0x2e10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2c10101010000000, 0xee10000000000000, 0xec10101010100000, 0x2e10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x2c10101010000000, 0xee10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x6c10101000000000, 0xec10000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x6c10101000000000, 0xec10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2c10101010101010, 0x6c10000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0xec10101010000000, 0x2c10000000000000, 0x2c10101010100000, 0x6c10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0xec10101010000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x6c10101000000000, 0xec10000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x6c10101000000000, 0xec10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x6810101010101010, 0x2c10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2810101010000000, 0x6c10000000000000, 0x6810101010100000, 0x2c10000000000000,
+ 0x6f10100000000000, 0xe810000000000000, 0x2810101010000000, 0x6c10000000000000,
+ 0x2f10100000000000, 0x2810000000000000, 0x6f10100000000000, 0xe810000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2f10100000000000, 0x2810000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xef10100000000000, 0x6f10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2f10100000000000, 0x2f10000000000000, 0xef10100000000000, 0x6f10000000000000,
+ 0x2810101010101010, 0xe810000000000000, 0x2f10100000000000, 0x2f10000000000000,
+ 0x6810101010000000, 0x2810000000000000, 0x2810101010100000, 0xe810000000000000,
+ 0x2e10100000000000, 0xef10000000000000, 0x6810101010000000, 0x2810000000000000,
+ 0x6e10100000000000, 0x2f10000000000000, 0x2e10100000000000, 0xef10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6e10100000000000, 0x2f10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2e10100000000000, 0x2e10000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xee10100000000000, 0x6e10000000000000, 0x2e10100000000000, 0x2e10000000000000,
+ 0xe810101010101010, 0x2810000000000000, 0xee10100000000000, 0x6e10000000000000,
+ 0x2810101010000000, 0xe810000000000000, 0xe810101010100000, 0x2810000000000000,
+ 0xec10100000000000, 0x2e10000000000000, 0x2810101010000000, 0xe810000000000000,
+ 0x2c10100000000000, 0xee10000000000000, 0xec10100000000000, 0x2e10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2c10100000000000, 0xee10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6c10100000000000, 0xec10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0x6c10100000000000, 0xec10000000000000,
+ 0x2810101010101010, 0x6810000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0xe810101010000000, 0x2810000000000000, 0x2810101010100000, 0x6810000000000000,
+ 0x2c10100000000000, 0x6c10000000000000, 0xe810101010000000, 0x2810000000000000,
+ 0xec10100000000000, 0x2c10000000000000, 0x2c10100000000000, 0x6c10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xec10100000000000, 0x2c10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6c10100000000000, 0xec10000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x6f10101010101000, 0x2810000000000000, 0x6c10100000000000, 0xec10000000000000,
+ 0x2f10101010000000, 0x6810000000000000, 0x6f10101010100000, 0x2810000000000000,
+ 0x6810100000000000, 0x2c10000000000000, 0x2f10101010000000, 0x6810000000000000,
+ 0x2810100000000000, 0x6c10000000000000, 0x6810100000000000, 0x2c10000000000000,
+ 0xef10101000000000, 0x6f10000000000000, 0x2810100000000000, 0x6c10000000000000,
+ 0x2f10101000000000, 0x2f10000000000000, 0xef10101000000000, 0x6f10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2f10101000000000, 0x2f10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x2e10101010101000, 0xef10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x6e10101010000000, 0x2f10000000000000, 0x2e10101010100000, 0xef10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0x6e10101010000000, 0x2f10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0x2e10101000000000, 0x2e10000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0xee10101000000000, 0x6e10000000000000, 0x2e10101000000000, 0x2e10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xee10101000000000, 0x6e10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0xec10101010101000, 0x2e10000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x2c10101010000000, 0xee10000000000000, 0xec10101010100000, 0x2e10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2c10101010000000, 0xee10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x6c10101000000000, 0xec10000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x6c10101000000000, 0xec10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0x2c10101010101000, 0x6c10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0xec10101010000000, 0x2c10000000000000, 0x2c10101010100000, 0x6c10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0xec10101010000000, 0x2c10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x6c10101000000000, 0xec10000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6c10101000000000, 0xec10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x6810101010101000, 0x2c10000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0x2810101010000000, 0x6c10000000000000, 0x6810101010100000, 0x2c10000000000000,
+ 0x6f10100000000000, 0x2810000000000000, 0x2810101010000000, 0x6c10000000000000,
+ 0x2f10100000000000, 0x6810000000000000, 0x6f10100000000000, 0x2810000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2f10100000000000, 0x6810000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xef10100000000000, 0x6f10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2f10100000000000, 0x2f10000000000000, 0xef10100000000000, 0x6f10000000000000,
+ 0x2810101010101000, 0xe810000000000000, 0x2f10100000000000, 0x2f10000000000000,
+ 0x6810101010000000, 0x2810000000000000, 0x2810101010100000, 0xe810000000000000,
+ 0x2e10100000000000, 0xef10000000000000, 0x6810101010000000, 0x2810000000000000,
+ 0x6e10100000000000, 0x2f10000000000000, 0x2e10100000000000, 0xef10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6e10100000000000, 0x2f10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2e10100000000000, 0x2e10000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xee10100000000000, 0x6e10000000000000, 0x2e10100000000000, 0x2e10000000000000,
+ 0xe810101010101000, 0x2810000000000000, 0xee10100000000000, 0x6e10000000000000,
+ 0x2810101010000000, 0xe810000000000000, 0xe810101010100000, 0x2810000000000000,
+ 0xec10100000000000, 0x2e10000000000000, 0x2810101010000000, 0xe810000000000000,
+ 0x2c10100000000000, 0xee10000000000000, 0xec10100000000000, 0x2e10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2c10100000000000, 0xee10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6c10100000000000, 0xec10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0x6c10100000000000, 0xec10000000000000,
+ 0x2810101010101000, 0x6810000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0xe810101010000000, 0x2810000000000000, 0x2810101010100000, 0x6810000000000000,
+ 0x2c10100000000000, 0x6c10000000000000, 0xe810101010000000, 0x2810000000000000,
+ 0xec10100000000000, 0x2c10000000000000, 0x2c10100000000000, 0x6c10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xec10100000000000, 0x2c10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6c10100000000000, 0xec10000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0x2f10101010101010, 0x2810000000000000, 0x6c10100000000000, 0xec10000000000000,
+ 0xef10101010000000, 0x6810000000000000, 0x2f10101010100000, 0x2810000000000000,
+ 0x6810100000000000, 0x2c10000000000000, 0xef10101010000000, 0x6810000000000000,
+ 0x2810100000000000, 0x6c10000000000000, 0x6810100000000000, 0x2c10000000000000,
+ 0x2f10101000000000, 0x2f10000000000000, 0x2810100000000000, 0x6c10000000000000,
+ 0x6f10101000000000, 0xef10000000000000, 0x2f10101000000000, 0x2f10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x6f10101000000000, 0xef10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x6e10101010101010, 0x2f10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2e10101010000000, 0x6f10000000000000, 0x6e10101010100000, 0x2f10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0x2e10101010000000, 0x6f10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0xee10101000000000, 0x6e10000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0x2e10101000000000, 0x2e10000000000000, 0xee10101000000000, 0x6e10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x2e10101000000000, 0x2e10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2c10101010101010, 0xee10000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x6c10101010000000, 0x2e10000000000000, 0x2c10101010100000, 0xee10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x6c10101010000000, 0x2e10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0xec10101000000000, 0x6c10000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0xec10101000000000, 0x6c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0xec10101010101010, 0x2c10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2c10101010000000, 0xec10000000000000, 0xec10101010100000, 0x2c10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x2c10101010000000, 0xec10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x6c10101000000000, 0xec10000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x6c10101000000000, 0xec10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x2810101010101010, 0x6c10000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0xe810101010000000, 0x2c10000000000000, 0x2810101010100000, 0x6c10000000000000,
+ 0x2f10100000000000, 0x2810000000000000, 0xe810101010000000, 0x2c10000000000000,
+ 0xef10100000000000, 0x6810000000000000, 0x2f10100000000000, 0x2810000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xef10100000000000, 0x6810000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2f10100000000000, 0x2f10000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6f10100000000000, 0xef10000000000000, 0x2f10100000000000, 0x2f10000000000000,
+ 0x6810101010101010, 0x2810000000000000, 0x6f10100000000000, 0xef10000000000000,
+ 0x2810101010000000, 0x6810000000000000, 0x6810101010100000, 0x2810000000000000,
+ 0x6e10100000000000, 0x2f10000000000000, 0x2810101010000000, 0x6810000000000000,
+ 0x2e10100000000000, 0x6f10000000000000, 0x6e10100000000000, 0x2f10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2e10100000000000, 0x6f10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xee10100000000000, 0x6e10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2e10100000000000, 0x2e10000000000000, 0xee10100000000000, 0x6e10000000000000,
+ 0x2810101010101010, 0xe810000000000000, 0x2e10100000000000, 0x2e10000000000000,
+ 0x6810101010000000, 0x2810000000000000, 0x2810101010100000, 0xe810000000000000,
+ 0x2c10100000000000, 0xee10000000000000, 0x6810101010000000, 0x2810000000000000,
+ 0x6c10100000000000, 0x2e10000000000000, 0x2c10100000000000, 0xee10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6c10100000000000, 0x2e10000000000000,
+ 0xe810101000000000, 0x6810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0xe810101000000000, 0x6810000000000000,
+ 0xec10100000000000, 0x6c10000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0xe810101010101010, 0x2810000000000000, 0xec10100000000000, 0x6c10000000000000,
+ 0x2810101010000000, 0xe810000000000000, 0xe810101010100000, 0x2810000000000000,
+ 0xec10100000000000, 0x2c10000000000000, 0x2810101010000000, 0xe810000000000000,
+ 0x2c10100000000000, 0xec10000000000000, 0xec10100000000000, 0x2c10000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2c10100000000000, 0xec10000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6c10100000000000, 0xec10000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2c10100000000000, 0x2c10000000000000, 0x6c10100000000000, 0xec10000000000000,
+ 0x2f10101010101000, 0x6810000000000000, 0x2c10100000000000, 0x2c10000000000000,
+ 0xef10101010000000, 0x2810000000000000, 0x2f10101010100000, 0x6810000000000000,
+ 0x2810100000000000, 0x6c10000000000000, 0xef10101010000000, 0x2810000000000000,
+ 0xe810100000000000, 0x2c10000000000000, 0x2810100000000000, 0x6c10000000000000,
+ 0x2f10101000000000, 0x2f10000000000000, 0xe810100000000000, 0x2c10000000000000,
+ 0x6f10101000000000, 0xef10000000000000, 0x2f10101000000000, 0x2f10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6f10101000000000, 0xef10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x6e10101010101000, 0x2f10000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0x2e10101010000000, 0x6f10000000000000, 0x6e10101010100000, 0x2f10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2e10101010000000, 0x6f10000000000000,
+ 0x2810100000000000, 0x6810000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0xee10101000000000, 0x6e10000000000000, 0x2810100000000000, 0x6810000000000000,
+ 0x2e10101000000000, 0x2e10000000000000, 0xee10101000000000, 0x6e10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2e10101000000000, 0x2e10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x2c10101010101000, 0xee10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0x6c10101010000000, 0x2e10000000000000, 0x2c10101010100000, 0xee10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0x6c10101010000000, 0x2e10000000000000,
+ 0x6810100000000000, 0x2810000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x6810100000000000, 0x2810000000000000,
+ 0xec10101000000000, 0x6c10000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0xec10101000000000, 0x6c10000000000000,
+ 0xe810100000000000, 0x6810000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0xec10101010101000, 0x2c10000000000000, 0xe810100000000000, 0x6810000000000000,
+ 0x2c10101010000000, 0xec10000000000000, 0xec10101010100000, 0x2c10000000000000,
+ 0xe810100000000000, 0x2810000000000000, 0x2c10101010000000, 0xec10000000000000,
+ 0x2810100000000000, 0xe810000000000000, 0xe810100000000000, 0x2810000000000000,
+ 0x6c10101000000000, 0xec10000000000000, 0x2810100000000000, 0xe810000000000000,
+ 0x2c10101000000000, 0x2c10000000000000, 0x6c10101000000000, 0xec10000000000000,
+ 0x6810100000000000, 0xe810000000000000, 0x2c10101000000000, 0x2c10000000000000,
+ 0x2810100000000000, 0x2810000000000000, 0x6810100000000000, 0xe810000000000000,
+ 0x2810101010101000, 0x6c10000000000000, 0x2810100000000000, 0x2810000000000000,
+ 0xe810101010000000, 0x2c10000000000000, 0x2810101010100000, 0x6c10000000000000,
+ 0x2f10100000000000, 0x6810000000000000, 0xe810101010000000, 0x2c10000000000000,
+ 0xef10100000000000, 0x2810000000000000, 0x2f10100000000000, 0x6810000000000000,
+ 0x2810101000000000, 0x2810000000000000, 0xef10100000000000, 0x2810000000000000,
+ 0x6810101000000000, 0xe810000000000000, 0x2810101000000000, 0x2810000000000000,
+ 0x2f10100000000000, 0x2f10000000000000, 0x6810101000000000, 0xe810000000000000,
+ 0x6f10100000000000, 0xef10000000000000, 0x2f10100000000000, 0x2f10000000000000,
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+ 0xb840000000000000, 0xa040404040400000, 0xa040000000000000, 0xa040404040000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xbc40000000000000,
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+ 0xbe40400000000000, 0xa040404040400000, 0xb040400000000000, 0xa040404040000000,
+ 0xb040000000000000, 0xa040400000000000, 0xa040000000000000, 0xa040400000000000,
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+ 0xa040404000000000, 0xa040400000000000, 0xb840404000000000, 0xa040400000000000,
+ 0xb040000000000000, 0xb040404000000000, 0xa040000000000000, 0xa040404000000000,
+ 0xbf40000000000000, 0xa040000000000000, 0xb040000000000000, 0xb840000000000000,
+ 0xa040404000000000, 0xa040000000000000, 0xb840404000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040404000000000, 0xb840400000000000, 0xa040404000000000,
+ 0xbf40000000000000, 0xb040400000000000, 0xb040000000000000, 0xa040400000000000,
+ 0xbf40000000000000, 0xa040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xa040000000000000, 0xb840400000000000, 0xa040000000000000,
+ 0xa040404040404040, 0xb040400000000000, 0xb840404040000000, 0xa040400000000000,
+ 0xbf40000000000000, 0xb040404040400000, 0xb040000000000000, 0xa040404040000000,
+ 0xbe40000000000000, 0xa040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040404040404000, 0xa040000000000000, 0xb840404040000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040404040400000, 0xb840400000000000, 0xa040404040000000,
+ 0xbe40000000000000, 0xb040400000000000, 0xb040000000000000, 0xa040400000000000,
+ 0xbe40000000000000, 0xa040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xa040000000000000, 0xb840400000000000, 0xa040000000000000,
+ 0xa040404000000000, 0xb040400000000000, 0xa040404000000000, 0xa040400000000000,
+ 0xbe40000000000000, 0xbc40404000000000, 0xb040000000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xa040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040404000000000, 0xb040000000000000, 0xa040404000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xbc40404000000000, 0xa040400000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xbc40400000000000, 0xb840000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xa040400000000000, 0xa040000000000000,
+ 0xa040404040404040, 0xbc40400000000000, 0xa040404040000000, 0xb040400000000000,
+ 0xa040000000000000, 0xbc40404040400000, 0xb840000000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040404040404000, 0xb040000000000000, 0xa040404040000000, 0xa040000000000000,
+ 0xa040400000000000, 0xbc40404040400000, 0xa040400000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xbc40400000000000, 0xb840000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xa040400000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xbc40400000000000, 0xa040404000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xa040404000000000, 0xb840000000000000, 0xb840404000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xa040000000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xbc40000000000000, 0xa040404000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xa040404000000000, 0xa040400000000000, 0xb840404000000000,
+ 0xa040000000000000, 0xa040400000000000, 0xa040000000000000, 0xb840400000000000,
+ 0xa040000000000000, 0xbc40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xbc40000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xb040404040404040, 0xa040400000000000, 0xa040404040000000, 0xb840400000000000,
+ 0xa040000000000000, 0xa040404040400000, 0xa040000000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xbc40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040404040404000, 0xbc40000000000000, 0xa040404040000000, 0xb040000000000000,
+ 0xb040400000000000, 0xa040404040400000, 0xa040400000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xa040400000000000, 0xa040000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xbc40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xbc40000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xb840404000000000, 0xa040400000000000, 0xa040404000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xa040404000000000, 0xa040000000000000, 0xbf40404000000000,
+ 0xb040000000000000, 0xbc40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb840404000000000, 0xa040000000000000, 0xa040404000000000, 0xb840000000000000,
+ 0xb840400000000000, 0xa040404000000000, 0xa040400000000000, 0xbf40404000000000,
+ 0xb040000000000000, 0xa040400000000000, 0xa040000000000000, 0xbf40400000000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb840000000000000,
+ 0xb840400000000000, 0xa040000000000000, 0xa040400000000000, 0xb840000000000000,
+ 0xb840404040404040, 0xa040400000000000, 0xa040404040000000, 0xbf40400000000000,
+ 0xb040000000000000, 0xa040404040400000, 0xa040000000000000, 0xbe40404040000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb840000000000000,
+ 0xb840404040404000, 0xa040000000000000, 0xa040404040000000, 0xb040000000000000,
+ 0xb840400000000000, 0xa040404040400000, 0xa040400000000000, 0xbe40404040000000,
+ 0xb040000000000000, 0xa040400000000000, 0xa040000000000000, 0xbe40400000000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb840400000000000, 0xa040000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xa040404000000000, 0xa040400000000000, 0xb040404000000000, 0xbe40400000000000,
+ 0xb040000000000000, 0xb040404000000000, 0xa040000000000000, 0xa040404000000000,
+ 0xb840000000000000, 0xa040000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xa040404000000000, 0xa040000000000000, 0xb040404000000000, 0xbf40000000000000,
+ 0xa040400000000000, 0xb040404000000000, 0xb040400000000000, 0xa040404000000000,
+ 0xb840000000000000, 0xb040400000000000, 0xa040000000000000, 0xa040400000000000,
+ 0xb840000000000000, 0xa040000000000000, 0xa040000000000000, 0xbf40000000000000,
+ 0xa040400000000000, 0xa040000000000000, 0xb040400000000000, 0xbf40000000000000,
+ 0xa040404040404040, 0xb040400000000000, 0xb040404040000000, 0xa040400000000000,
+ 0xb840000000000000, 0xb040404040400000, 0xa040000000000000, 0xa040404040000000,
+ 0xb840000000000000, 0xa040000000000000, 0xa040000000000000, 0xbf40000000000000,
+ 0xa040404040404000, 0xa040000000000000, 0xb040404040000000, 0xbe40000000000000,
+ 0xa040400000000000, 0xb040404040400000, 0xb040400000000000, 0xa040404040000000,
+ 0xb840000000000000, 0xb040400000000000, 0xa040000000000000, 0xa040400000000000,
+ 0xb840000000000000, 0xa040000000000000, 0xa040000000000000, 0xbe40000000000000,
+ 0xa040400000000000, 0xa040000000000000, 0xb040400000000000, 0xbe40000000000000,
+ 0xa040404000000000, 0xb040400000000000, 0xbc40404000000000, 0xa040400000000000,
+ 0xb840000000000000, 0xb840404000000000, 0xa040000000000000, 0xa040404000000000,
+ 0xa040000000000000, 0xa040000000000000, 0xb040000000000000, 0xbe40000000000000,
+ 0xa040404000000000, 0xb040000000000000, 0xbc40404000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb840404000000000, 0xbc40400000000000, 0xa040404000000000,
+ 0xa040000000000000, 0xb840400000000000, 0xb040000000000000, 0xa040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xbc40400000000000, 0xa040000000000000,
+ 0xa040404040404040, 0xb840400000000000, 0xbc40404040000000, 0xa040400000000000,
+ 0xa040000000000000, 0xb840404040400000, 0xb040000000000000, 0xa040404040000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040404040404000, 0xb040000000000000, 0xbc40404040000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb840404040400000, 0xbc40400000000000, 0xa040404040000000,
+ 0xa040000000000000, 0xb840400000000000, 0xb040000000000000, 0xa040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xbc40400000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xb840400000000000, 0xa040404000000000, 0xa040400000000000,
+ 0xa040000000000000, 0xa040404000000000, 0xb040000000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xbc40000000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xb840000000000000, 0xa040404000000000, 0xa040000000000000,
+ 0xb040400000000000, 0xa040404000000000, 0xa040400000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xa040400000000000, 0xbc40000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb840000000000000, 0xbc40000000000000, 0xa040000000000000,
+ 0xb040400000000000, 0xb840000000000000, 0xa040400000000000, 0xa040000000000000,
+ 0xa040404040404040, 0xa040400000000000, 0xa040404040000000, 0xb040400000000000,
+ 0xa040000000000000, 0xbf40404040400000, 0xbc40000000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xb840000000000000, 0xbc40000000000000, 0xa040000000000000,
+ 0xa040404040404000, 0xb840000000000000, 0xa040404040000000, 0xa040000000000000,
+ 0xa040400000000000, 0xbf40404040400000, 0xa040400000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xbf40400000000000, 0xbc40000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb840000000000000, 0xbc40000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb840000000000000, 0xa040400000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xbf40400000000000, 0xa040404000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xa040404000000000, 0xbc40000000000000, 0xb840404000000000,
+ 0xb040000000000000, 0xb840000000000000, 0xa040000000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xa040000000000000, 0xa040404000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xa040404000000000, 0xa040400000000000, 0xb840404000000000,
+ 0xb040000000000000, 0xa040400000000000, 0xa040000000000000, 0xb840400000000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xa040000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xb040404040404040, 0xa040400000000000, 0xa040404040000000, 0xb840400000000000,
+ 0xb040000000000000, 0xa040404040400000, 0xa040000000000000, 0xb840404040000000,
+ 0xa040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040404040404000, 0xbf40000000000000, 0xa040404040000000, 0xb040000000000000,
+ 0xb040400000000000, 0xa040404040400000, 0xa040400000000000, 0xb840404040000000,
+ 0xa040000000000000, 0xa040400000000000, 0xa040000000000000, 0xb840400000000000,
+ 0xa040000000000000, 0xbf40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xbf40000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xbe40404000000000, 0xa040400000000000, 0xb040404000000000, 0xb840400000000000,
+ 0xa040000000000000, 0xa040404000000000, 0xa040000000000000, 0xa040404000000000,
+ 0xb040000000000000, 0xbf40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xbe40404000000000, 0xa040000000000000, 0xb040404000000000, 0xb840000000000000,
+ 0xbe40400000000000, 0xa040404000000000, 0xb040400000000000, 0xa040404000000000,
+ 0xb040000000000000, 0xa040400000000000, 0xa040000000000000, 0xa040400000000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb840000000000000,
+ 0xbe40400000000000, 0xa040000000000000, 0xb040400000000000, 0xb840000000000000,
+ 0xbc40404040404040, 0xa040400000000000, 0xb040404040000000, 0xa040400000000000,
+ 0xb040000000000000, 0xa040404040400000, 0xa040000000000000, 0xa040404040000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb840000000000000,
+ 0xbc40404040404000, 0xa040000000000000, 0xb040404040000000, 0xb840000000000000,
+ 0xbc40400000000000, 0xa040404040400000, 0xb040400000000000, 0xa040404040000000,
+ 0xb040000000000000, 0xa040400000000000, 0xa040000000000000, 0xa040400000000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb840000000000000,
+ 0xbc40400000000000, 0xa040000000000000, 0xb040400000000000, 0xb840000000000000,
+ 0xa040404000000000, 0xa040400000000000, 0xb840404000000000, 0xa040400000000000,
+ 0xb040000000000000, 0xb040404000000000, 0xa040000000000000, 0xa040404000000000,
+ 0xbe40000000000000, 0xa040000000000000, 0xb040000000000000, 0xb840000000000000,
+ 0xa040404000000000, 0xa040000000000000, 0xb840404000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040404000000000, 0xb840400000000000, 0xa040404000000000,
+ 0xbe40000000000000, 0xb040400000000000, 0xb040000000000000, 0xa040400000000000,
+ 0xbe40000000000000, 0xa040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xa040000000000000, 0xb840400000000000, 0xa040000000000000,
+ 0xa040404040404040, 0xb040400000000000, 0xb840404040000000, 0xa040400000000000,
+ 0xbe40000000000000, 0xb040404040400000, 0xb040000000000000, 0xa040404040000000,
+ 0xbc40000000000000, 0xa040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040404040404000, 0xa040000000000000, 0xb840404040000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040404040400000, 0xb840400000000000, 0xa040404040000000,
+ 0xbc40000000000000, 0xb040400000000000, 0xb040000000000000, 0xa040400000000000,
+ 0xbc40000000000000, 0xa040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xa040000000000000, 0xb840400000000000, 0xa040000000000000,
+ 0xa040404000000000, 0xb040400000000000, 0xa040404000000000, 0xa040400000000000,
+ 0xbc40000000000000, 0xbc40404000000000, 0xb040000000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xa040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040404000000000, 0xb040000000000000, 0xa040404000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xbc40404000000000, 0xa040400000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xbc40400000000000, 0xb840000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xa040400000000000, 0xa040000000000000,
+ 0xa040404040404040, 0xbc40400000000000, 0xbf40404040000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb840404040400000, 0xb840000000000000, 0xa040404040000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040404040404000, 0xb040000000000000, 0xbf40404040000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb840404040400000, 0xbf40400000000000, 0xa040404040000000,
+ 0xa040000000000000, 0xb840400000000000, 0xb840000000000000, 0xa040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xbf40400000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xb840400000000000, 0xa040404000000000, 0xa040400000000000,
+ 0xa040000000000000, 0xa040404000000000, 0xb840000000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xa040000000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xbc40000000000000, 0xa040404000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xa040404000000000, 0xa040400000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xa040400000000000, 0xa040000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xbc40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xbc40000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xb040404040404040, 0xa040400000000000, 0xa040404040000000, 0xb040400000000000,
+ 0xa040000000000000, 0xa040404040400000, 0xa040000000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xbc40000000000000, 0xbf40000000000000, 0xb040000000000000,
+ 0xb040404040404000, 0xb840000000000000, 0xa040404040000000, 0xa040000000000000,
+ 0xb040400000000000, 0xa040404040400000, 0xa040400000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xa040400000000000, 0xbf40000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb840000000000000, 0xbf40000000000000, 0xa040000000000000,
+ 0xb040400000000000, 0xb840000000000000, 0xa040400000000000, 0xa040000000000000,
+ 0xb840404000000000, 0xa040400000000000, 0xa040404000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xa040404000000000, 0xbf40000000000000, 0xbe40404000000000,
+ 0xb040000000000000, 0xb840000000000000, 0xa040000000000000, 0xa040000000000000,
+ 0xb840404000000000, 0xa040000000000000, 0xa040404000000000, 0xb040000000000000,
+ 0xb840400000000000, 0xa040404000000000, 0xa040400000000000, 0xbe40404000000000,
+ 0xb040000000000000, 0xa040400000000000, 0xa040000000000000, 0xbe40400000000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb840400000000000, 0xa040000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xb840404040404040, 0xa040400000000000, 0xa040404040000000, 0xbe40400000000000,
+ 0xb040000000000000, 0xa040404040400000, 0xa040000000000000, 0xbc40404040000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb840404040404000, 0xa040000000000000, 0xa040404040000000, 0xb040000000000000,
+ 0xb840400000000000, 0xa040404040400000, 0xa040400000000000, 0xbc40404040000000,
+ 0xb040000000000000, 0xa040400000000000, 0xa040000000000000, 0xbc40400000000000,
+ 0xb040000000000000, 0xa040000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb840400000000000, 0xa040000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xa040404000000000, 0xa040400000000000, 0xb040404000000000, 0xbc40400000000000,
+ 0xb040000000000000, 0xb040404000000000, 0xa040000000000000, 0xa040404000000000,
+ 0xb840000000000000, 0xa040000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xa040404000000000, 0xa040000000000000, 0xb040404000000000, 0xbe40000000000000,
+ 0xa040400000000000, 0xb040404000000000, 0xb040400000000000, 0xa040404000000000,
+ 0xb840000000000000, 0xb040400000000000, 0xa040000000000000, 0xa040400000000000,
+ 0xb840000000000000, 0xa040000000000000, 0xa040000000000000, 0xbe40000000000000,
+ 0xa040400000000000, 0xa040000000000000, 0xb040400000000000, 0xbe40000000000000,
+ 0xa040404040404040, 0xb040400000000000, 0xb040404040000000, 0xa040400000000000,
+ 0xb840000000000000, 0xb040404040400000, 0xa040000000000000, 0xa040404040000000,
+ 0xb840000000000000, 0xa040000000000000, 0xa040000000000000, 0xbe40000000000000,
+ 0xa040404040404000, 0xa040000000000000, 0xb040404040000000, 0xbc40000000000000,
+ 0xa040400000000000, 0xb040404040400000, 0xb040400000000000, 0xa040404040000000,
+ 0xb840000000000000, 0xb040400000000000, 0xa040000000000000, 0xa040400000000000,
+ 0xb840000000000000, 0xa040000000000000, 0xa040000000000000, 0xbc40000000000000,
+ 0xa040400000000000, 0xa040000000000000, 0xb040400000000000, 0xbc40000000000000,
+ 0xa040404000000000, 0xb040400000000000, 0xbc40404000000000, 0xa040400000000000,
+ 0xb840000000000000, 0xb840404000000000, 0xa040000000000000, 0xa040404000000000,
+ 0xa040000000000000, 0xa040000000000000, 0xb040000000000000, 0xbc40000000000000,
+ 0xa040404000000000, 0xb040000000000000, 0xbc40404000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb840404000000000, 0xbc40400000000000, 0xa040404000000000,
+ 0xa040000000000000, 0xb840400000000000, 0xb040000000000000, 0xa040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xbc40400000000000, 0xa040000000000000,
+ 0xa040404040404040, 0xb840400000000000, 0xb840404040000000, 0xa040400000000000,
+ 0xa040000000000000, 0xb040404040400000, 0xb040000000000000, 0xa040404040000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040404040404000, 0xb040000000000000, 0xb840404040000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040404040400000, 0xb840400000000000, 0xa040404040000000,
+ 0xa040000000000000, 0xb040400000000000, 0xb040000000000000, 0xa040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb040000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xb840400000000000, 0xa040000000000000,
+ 0xa040404000000000, 0xb040400000000000, 0xa040404000000000, 0xa040400000000000,
+ 0xa040000000000000, 0xbf40404000000000, 0xb040000000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xbc40000000000000, 0xa040000000000000,
+ 0xa040404000000000, 0xb840000000000000, 0xa040404000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xbf40404000000000, 0xa040400000000000, 0xb040404000000000,
+ 0xa040000000000000, 0xbf40400000000000, 0xbc40000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb840000000000000, 0xbc40000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb840000000000000, 0xa040400000000000, 0xa040000000000000,
+ 0xa040404040404040, 0xbf40400000000000, 0xa040404040000000, 0xb040400000000000,
+ 0xa040000000000000, 0xbe40404040400000, 0xbc40000000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xb840000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040404040404000, 0xb040000000000000, 0xa040404040000000, 0xa040000000000000,
+ 0xa040400000000000, 0xbe40404040400000, 0xa040400000000000, 0xb040404040000000,
+ 0xa040000000000000, 0xbe40400000000000, 0xb840000000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xb840000000000000, 0xa040000000000000,
+ 0xa040400000000000, 0xb040000000000000, 0xa040400000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xbe40400000000000, 0xa040404000000000, 0xb040400000000000,
+ 0xa040000000000000, 0xa040404000000000, 0xb840000000000000, 0xb840404000000000,
+ 0xa040000000000000, 0xb040000000000000, 0xa040000000000000, 0xa040000000000000,
+ 0xb040404000000000, 0xbf40000000000000, 0xa040404000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xa040404000000000, 0xa040400000000000, 0xb840404000000000,
+ 0xa040000000000000, 0xa040400000000000, 0xa040000000000000, 0xb840400000000000,
+ 0xa040000000000000, 0xbf40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xbf40000000000000, 0xa040400000000000, 0xb040000000000000,
+ 0xb040404040404040, 0xa040400000000000, 0xa040404040000000, 0xb840400000000000,
+ 0xa040000000000000, 0xa040404040400000, 0xa040000000000000, 0xb840404040000000,
+ 0xa040000000000000, 0xbf40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040404040404000, 0xbe40000000000000, 0xa040404040000000, 0xb040000000000000,
+ 0xb040400000000000, 0xa040404040400000, 0xa040400000000000, 0xb840404040000000,
+ 0xa040000000000000, 0xa040400000000000, 0xa040000000000000, 0xb840400000000000,
+ 0xa040000000000000, 0xbe40000000000000, 0xa040000000000000, 0xb040000000000000,
+ 0xb040400000000000, 0xbe40000000000000, 0xa040400000000000, 0xb040000000000000,
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+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x7080000000000000, 0x4080000000000000, 0x6080000000000000, 0x4080000000000000,
+ 0x7080000000000000, 0x4080000000000000, 0x6080000000000000, 0x4080000000000000,
+ 0x4080800000000000, 0x7880800000000000, 0x4080800000000000, 0x6080800000000000,
+ 0x4080800000000000, 0x7880800000000000, 0x4080800000000000, 0x6080800000000000,
+ 0x4080800000000000, 0x6080800000000000, 0x7080800000000000, 0x4080800000000000,
+ 0x4080800000000000, 0x6080800000000000, 0x7080800000000000, 0x4080800000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x6080000000000000, 0x4080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x6080000000000000, 0x4080000000000000,
+ 0x7080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7c80000000000000,
+ 0x7080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7c80000000000000,
+ 0x4080808080808080, 0x7080808080000000, 0x4080808000000000, 0x6080808000000000,
+ 0x4080808080808000, 0x7080808080000000, 0x4080808000000000, 0x6080808000000000,
+ 0x4080808080800000, 0x6080808080000000, 0x7080808000000000, 0x4080808000000000,
+ 0x4080808080800000, 0x6080808080000000, 0x7080808000000000, 0x4080808000000000,
+ 0x4080000000000000, 0x7880000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x7880000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x6080800000000000, 0x4080800000000000, 0x4080800000000000, 0x7880800000000000,
+ 0x6080800000000000, 0x4080800000000000, 0x4080800000000000, 0x7880800000000000,
+ 0x4080800000000000, 0x7e80800000000000, 0x4080800000000000, 0x6080800000000000,
+ 0x4080800000000000, 0x7e80800000000000, 0x4080800000000000, 0x6080800000000000,
+ 0x4080000000000000, 0x7080000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x7080000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x6080808080808080, 0x4080808080000000, 0x4080808000000000, 0x7080808000000000,
+ 0x6080808080808000, 0x4080808080000000, 0x4080808000000000, 0x7080808000000000,
+ 0x4080808080800000, 0x7880808080000000, 0x4080808000000000, 0x6080808000000000,
+ 0x4080808080800000, 0x7880808080000000, 0x4080808000000000, 0x6080808000000000,
+ 0x6080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7880000000000000,
+ 0x6080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7880000000000000,
+ 0x4080000000000000, 0x7e80000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x7e80000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080800000000000, 0x6080800000000000, 0x6080800000000000, 0x4080800000000000,
+ 0x4080800000000000, 0x6080800000000000, 0x6080800000000000, 0x4080800000000000,
+ 0x7080800000000000, 0x4080800000000000, 0x4080800000000000, 0x7f80800000000000,
+ 0x7080800000000000, 0x4080800000000000, 0x4080800000000000, 0x7f80800000000000,
+ 0x6080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7080000000000000,
+ 0x6080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7080000000000000,
+ 0x4080000000000000, 0x7880000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x7880000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080808080808080, 0x6080808080000000, 0x6080808000000000, 0x4080808000000000,
+ 0x4080808080808000, 0x6080808080000000, 0x6080808000000000, 0x4080808000000000,
+ 0x7080808080800000, 0x4080808080000000, 0x4080808000000000, 0x7c80808000000000,
+ 0x7080808080800000, 0x4080808080000000, 0x4080808000000000, 0x7c80808000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x6080000000000000, 0x4080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x6080000000000000, 0x4080000000000000,
+ 0x7080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7f80000000000000,
+ 0x7080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7f80000000000000,
+ 0x4080800000000000, 0x7880800000000000, 0x4080800000000000, 0x6080800000000000,
+ 0x4080800000000000, 0x7880800000000000, 0x4080800000000000, 0x6080800000000000,
+ 0x4080800000000000, 0x6080800000000000, 0x7080800000000000, 0x4080800000000000,
+ 0x4080800000000000, 0x6080800000000000, 0x7080800000000000, 0x4080800000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x6080000000000000, 0x4080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x6080000000000000, 0x4080000000000000,
+ 0x7080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7c80000000000000,
+ 0x7080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7c80000000000000,
+ 0x4080808080808080, 0x7080808080000000, 0x4080808000000000, 0x6080808000000000,
+ 0x4080808080808000, 0x7080808080000000, 0x4080808000000000, 0x6080808000000000,
+ 0x4080808080800000, 0x6080808080000000, 0x7080808000000000, 0x4080808000000000,
+ 0x4080808080800000, 0x6080808080000000, 0x7080808000000000, 0x4080808000000000,
+ 0x4080000000000000, 0x7880000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x7880000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x6080800000000000, 0x4080800000000000, 0x4080800000000000, 0x7880800000000000,
+ 0x6080800000000000, 0x4080800000000000, 0x4080800000000000, 0x7880800000000000,
+ 0x4080800000000000, 0x7c80800000000000, 0x4080800000000000, 0x6080800000000000,
+ 0x4080800000000000, 0x7c80800000000000, 0x4080800000000000, 0x6080800000000000,
+ 0x4080000000000000, 0x7080000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x7080000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x4080000000000000, 0x6080000000000000, 0x7080000000000000, 0x4080000000000000,
+ 0x6080808080808080, 0x4080808080000000, 0x4080808000000000, 0x7080808000000000,
+ 0x6080808080808000, 0x4080808080000000, 0x4080808000000000, 0x7080808000000000,
+ 0x4080808080800000, 0x7880808080000000, 0x4080808000000000, 0x6080808000000000,
+ 0x4080808080800000, 0x7880808080000000, 0x4080808000000000, 0x6080808000000000,
+ 0x6080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7880000000000000,
+ 0x6080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7880000000000000,
+ 0x4080000000000000, 0x7c80000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x7c80000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080800000000000, 0x6080800000000000, 0x6080800000000000, 0x4080800000000000,
+ 0x4080800000000000, 0x6080800000000000, 0x6080800000000000, 0x4080800000000000,
+ 0x7080800000000000, 0x4080800000000000, 0x4080800000000000, 0x7e80800000000000,
+ 0x7080800000000000, 0x4080800000000000, 0x4080800000000000, 0x7e80800000000000,
+ 0x6080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7080000000000000,
+ 0x6080000000000000, 0x4080000000000000, 0x4080000000000000, 0x7080000000000000,
+ 0x4080000000000000, 0x7880000000000000, 0x4080000000000000, 0x6080000000000000,
+ 0x4080000000000000, 0x7880000000000000, 0x4080000000000000, 0x6080000000000000,
+ },
+};
+
+pub const bishop_attacks: [64][512]Bitboard = .{
+ .{
+ 0x8040201008040200, 0x200, 0x40201008040200, 0x200,
+ 0x8040200, 0x200, 0x8040200, 0x200,
+ 0x1008040200, 0x200, 0x1008040200, 0x200,
+ 0x8040200, 0x200, 0x8040200, 0x200,
+ 0x40200, 0x200, 0x40200, 0x200,
+ 0x40200, 0x200, 0x40200, 0x200,
+ 0x40200, 0x200, 0x40200, 0x200,
+ 0x40200, 0x200, 0x40200, 0x200,
+ 0x201008040200, 0x200, 0x201008040200, 0x200,
+ 0x8040200, 0x200, 0x8040200, 0x200,
+ 0x1008040200, 0x200, 0x1008040200, 0x200,
+ 0x8040200, 0x200, 0x8040200, 0x200,
+ 0x40200, 0x200, 0x40200, 0x200,
+ 0x40200, 0x200, 0x40200, 0x200,
+ 0x40200, 0x200, 0x40200, 0x200,
+ 0x40200, 0x200, 0x40200, 0x200,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ },
+ .{
+ 0x80402010080500, 0x500, 0x80500, 0x500,
+ 0x10080500, 0x500, 0x80500, 0x500,
+ 0x80500, 0x500, 0x2010080500, 0x500,
+ 0x80500, 0x500, 0x10080500, 0x500,
+ 0x402010080500, 0x500, 0x80500, 0x500,
+ 0x10080500, 0x500, 0x80500, 0x500,
+ 0x80500, 0x500, 0x2010080500, 0x500,
+ 0x80500, 0x500, 0x10080500, 0x500,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ },
+ .{
+ 0x804020110a00, 0x4020100a00, 0x20110a00, 0x20100a00,
+ 0x10a00, 0xa00, 0x10a00, 0xa00,
+ 0x110a00, 0x100a00, 0x110a00, 0x100a00,
+ 0x10a00, 0xa00, 0x10a00, 0xa00,
+ 0x4020110a00, 0x804020100a00, 0x20110a00, 0x20100a00,
+ 0x10a00, 0xa00, 0x10a00, 0xa00,
+ 0x110a00, 0x100a00, 0x110a00, 0x100a00,
+ 0x10a00, 0xa00, 0x10a00, 0xa00,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
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+ },
+ .{
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+ },
+ .{
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+ .{
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+ .{
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+ .{
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+ 0xa0000000000000, 0xa0000000000000, 0xa0100000000000, 0xa0100000000000,
+ 0xa0100804000000, 0xa0100800000000, 0xa0000000000000, 0xa0000000000000,
+ 0xa0000000000000, 0xa0000000000000, 0xa0100000000000, 0xa0100000000000,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ },
+ .{
+ 0x40201008040201, 0x40201008000000, 0x40201000000000, 0x40201000000000,
+ 0x40201008040200, 0x40201008000000, 0x40201000000000, 0x40201000000000,
+ 0x40200000000000, 0x40200000000000, 0x40200000000000, 0x40200000000000,
+ 0x40200000000000, 0x40200000000000, 0x40200000000000, 0x40200000000000,
+ 0x40000000000000, 0x40000000000000, 0x40000000000000, 0x40000000000000,
+ 0x40000000000000, 0x40000000000000, 0x40000000000000, 0x40000000000000,
+ 0x40000000000000, 0x40000000000000, 0x40000000000000, 0x40000000000000,
+ 0x40000000000000, 0x40000000000000, 0x40000000000000, 0x40000000000000,
+ 0x40201008040000, 0x40201008000000, 0x40201000000000, 0x40201000000000,
+ 0x40201008040000, 0x40201008000000, 0x40201000000000, 0x40201000000000,
+ 0x40200000000000, 0x40200000000000, 0x40200000000000, 0x40200000000000,
+ 0x40200000000000, 0x40200000000000, 0x40200000000000, 0x40200000000000,
+ 0x40000000000000, 0x40000000000000, 0x40000000000000, 0x40000000000000,
+ 0x40000000000000, 0x40000000000000, 0x40000000000000, 0x40000000000000,
+ 0x40000000000000, 0x40000000000000, 0x40000000000000, 0x40000000000000,
+ 0x40000000000000, 0x40000000000000, 0x40000000000000, 0x40000000000000,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ 0x0, 0x0, 0x0, 0x0,
+ },
+};
+
diff --git a/src/chess/magic.zig b/src/chess/magic.zig
new file mode 100644
index 0000000..b06830b
--- /dev/null
+++ b/src/chess/magic.zig
@@ -0,0 +1,25 @@
+const bitboard = @import("bitboard.zig");
+const generated = @import("generated_magics.zig");
+
+pub const Bitboard = bitboard.Bitboard;
+pub const Square = bitboard.Square;
+
+pub fn rookAttacks(square: Square, all_occ: Bitboard) Bitboard {
+ const info = generated.rook_magic_info[square];
+ const blockers = all_occ & info.mask;
+ const shift_amount: u6 = @intCast(info.shift);
+ const index: usize = @intCast((blockers *% info.magic) >> shift_amount);
+ return generated.rook_attacks[square][index];
+}
+
+pub fn bishopAttacks(square: Square, all_occ: Bitboard) Bitboard {
+ const info = generated.bishop_magic_info[square];
+ const blockers = all_occ & info.mask;
+ const shift_amount: u6 = @intCast(info.shift);
+ const index: usize = @intCast((blockers *% info.magic) >> shift_amount);
+ return generated.bishop_attacks[square][index];
+}
+
+pub fn queenAttacks(square: Square, all_occ: Bitboard) Bitboard {
+ return rookAttacks(square, all_occ) | bishopAttacks(square, all_occ);
+}
diff --git a/src/chess/piece.zig b/src/chess/piece.zig
new file mode 100644
index 0000000..ae803b7
--- /dev/null
+++ b/src/chess/piece.zig
@@ -0,0 +1,81 @@
+const std = @import("std");
+
+pub const Color = enum(u1) {
+ black = 0,
+ white = 1,
+};
+
+pub const PieceType = enum(u3) {
+ none = 0,
+ pawn = 1,
+ knight = 2,
+ bishop = 3,
+ rook = 4,
+ queen = 5,
+ king = 6,
+};
+
+pub fn encode(color: Color, piece_type: PieceType) u4 {
+ if (piece_type == .none) return 0;
+ return (@as(u4, @intFromEnum(color)) << 3) | @as(u4, @intFromEnum(piece_type));
+}
+
+pub fn typeOf(encoded: u4) PieceType {
+ const type_bits: u3 = @intCast(encoded & 0b111);
+ return @enumFromInt(type_bits);
+}
+
+pub fn colorOf(encoded: u4) ?Color {
+ if (typeOf(encoded) == .none) return null;
+ const color_bit: u1 = @intCast(encoded >> 3);
+ return @enumFromInt(color_bit);
+}
+
+pub fn fromFENChar(ch: u8) !u4 {
+ switch (ch) {
+ 'P' => return encode(.white, .pawn),
+ 'N' => return encode(.white, .knight),
+ 'B' => return encode(.white, .bishop),
+ 'R' => return encode(.white, .rook),
+ 'Q' => return encode(.white, .queen),
+ 'K' => return encode(.white, .king),
+ 'p' => return encode(.black, .pawn),
+ 'n' => return encode(.black, .knight),
+ 'b' => return encode(.black, .bishop),
+ 'r' => return encode(.black, .rook),
+ 'q' => return encode(.black, .queen),
+ 'k' => return encode(.black, .king),
+ else => return error.InvalidPieceType,
+ }
+}
+
+test "encode pieces uses low bits for type and bit 3 for color" {
+ try std.testing.expectEqual(@as(u4, 1), encode(.black, .pawn));
+ try std.testing.expectEqual(@as(u4, 6), encode(.black, .king));
+ try std.testing.expectEqual(@as(u4, 9), encode(.white, .pawn));
+ try std.testing.expectEqual(@as(u4, 14), encode(.white, .king));
+ try std.testing.expectEqual(@as(u4, 0), encode(.white, .none));
+ try std.testing.expectEqual(@as(u4, 10), encode(.white, .knight));
+ try std.testing.expectEqual(@as(u4, 3), encode(.black, .bishop));
+}
+
+test "fromFENChar encodes white and black pieces" {
+ try std.testing.expectEqual(encode(.white, .pawn), fromFENChar('P'));
+ try std.testing.expectEqual(encode(.black, .king), fromFENChar('k'));
+}
+
+test "fromFENChar rejects invalid character" {
+ try std.testing.expectError(error.InvalidPieceType, fromFENChar('x'));
+}
+
+test "typeOf returns correct type" {
+ try std.testing.expectEqual(.pawn, typeOf(9));
+ try std.testing.expectEqual(.king, typeOf(6));
+ try std.testing.expectEqual(.none, typeOf(0));
+}
+
+test "colorOf returns correct color" {
+ try std.testing.expectEqual(null, colorOf(0));
+ try std.testing.expectEqual(.white, colorOf(14));
+ try std.testing.expectEqual(.black, colorOf(3));
+}
diff --git a/src/geometry.zig b/src/geometry.zig
index 12140ba..5226476 100644
--- a/src/geometry.zig
+++ b/src/geometry.zig
@@ -1,12 +1,250 @@
+const std = @import("std");
+
+const board = @import("chess/board.zig");
+const piece = @import("chess/piece.zig");
+
pub const Vertex = extern struct {
position: [2]f32,
+ color: [4]f32,
+ uv: [2]f32,
};
-const square_vertices = [_]Vertex{
- .{ .position = .{ -0.5, -0.5 } },
- .{ .position = .{ 0.5, -0.5 } },
- .{ .position = .{ 0.5, 0.5 } },
- .{ .position = .{ -0.5, -0.5 } },
- .{ .position = .{ 0.5, 0.5 } },
- .{ .position = .{ -0.5, 0.5 } },
+pub const BoardRect = struct {
+ left: f32,
+ bottom: f32,
+ width: f32,
+ height: f32,
};
+
+pub const Light = [4]f32{ 0.85, 0.75, 0.60, 1.0 };
+pub const Dark = [4]f32{ 0.35, 0.20, 0.10, 1.0 };
+pub const White = [4]f32{ 1.0, 1.0, 1.0, 1.0 };
+
+pub fn boardRectForExtent(width: u32, height: u32) BoardRect {
+ return boardRectForExtentWithPalette(width, height, true);
+}
+
+pub fn boardRectForExtentWithPalette(width: u32, height: u32, show_palette: bool) BoardRect {
+ const window_w: f32 = @floatFromInt(width);
+ const window_h: f32 = @floatFromInt(height);
+
+ const margin_px: f32 = 32.0;
+ const palette_gap_px: f32 = if (show_palette) 16.0 else 0.0;
+ const palette_width_ratio: f32 = if (show_palette) 1.0 / 12.0 else 0.0;
+ const menu_area_px: f32 = 80.0;
+ const fen_gap_ratio: f32 = 1.0 / 18.0;
+ const fen_glyph_height_ratio: f32 = 7.0 / 95.0;
+ const fen_area_ratio = fen_gap_ratio + fen_glyph_height_ratio;
+
+ const available_w = @max(1.0, window_w - (2.0 * margin_px) - palette_gap_px);
+ const available_h = @max(1.0, window_h - (2.0 * margin_px) - menu_area_px);
+
+ const board_from_width = available_w / (1.0 + palette_width_ratio);
+ const board_from_height = available_h / (1.0 + fen_area_ratio);
+ const board_size_px = @min(board_from_width, board_from_height);
+ const palette_width_px = board_size_px * palette_width_ratio;
+ const group_width_px = board_size_px + palette_gap_px + palette_width_px;
+
+ const board_left_px = (window_w - group_width_px) / 2.0;
+ const board_bottom_px = margin_px + (board_size_px * fen_area_ratio);
+ const max_board_top_px = window_h - margin_px - menu_area_px;
+ const board_top_px = @min(board_bottom_px + board_size_px, max_board_top_px);
+ const adjusted_board_size_px = @max(1.0, board_top_px - board_bottom_px);
+
+ return .{
+ .left = (board_left_px / window_w) * 2.0 - 1.0,
+ .bottom = (board_bottom_px / window_h) * 2.0 - 1.0,
+ .width = (adjusted_board_size_px / window_w) * 2.0,
+ .height = (adjusted_board_size_px / window_h) * 2.0,
+ };
+}
+
+pub fn appendQuad(
+ vertices: *std.ArrayList(Vertex),
+ allocator: std.mem.Allocator,
+ bottom_left: [2]f32,
+ bottom_right: [2]f32,
+ top_right: [2]f32,
+ top_left: [2]f32,
+ color: [4]f32,
+) !void {
+ try appendTexturedQuad(
+ vertices,
+ allocator,
+ bottom_left,
+ bottom_right,
+ top_right,
+ top_left,
+ color,
+ .{ 0.0, 0.0 },
+ .{ 0.0, 0.0 },
+ .{ 0.0, 0.0 },
+ .{ 0.0, 0.0 },
+ );
+}
+
+pub fn appendTexturedQuad(
+ vertices: *std.ArrayList(Vertex),
+ allocator: std.mem.Allocator,
+ bottom_left: [2]f32,
+ bottom_right: [2]f32,
+ top_right: [2]f32,
+ top_left: [2]f32,
+ color: [4]f32,
+ bottom_left_uv: [2]f32,
+ bottom_right_uv: [2]f32,
+ top_right_uv: [2]f32,
+ top_left_uv: [2]f32,
+) !void {
+ try vertices.append(allocator, .{
+ .position = bottom_left,
+ .color = color,
+ .uv = bottom_left_uv,
+ });
+ try vertices.append(allocator, .{
+ .position = bottom_right,
+ .color = color,
+ .uv = bottom_right_uv,
+ });
+ try vertices.append(allocator, .{
+ .position = top_right,
+ .color = color,
+ .uv = top_right_uv,
+ });
+
+ try vertices.append(allocator, .{
+ .position = bottom_left,
+ .color = color,
+ .uv = bottom_left_uv,
+ });
+ try vertices.append(allocator, .{
+ .position = top_right,
+ .color = color,
+ .uv = top_right_uv,
+ });
+ try vertices.append(allocator, .{
+ .position = top_left,
+ .color = color,
+ .uv = top_left_uv,
+ });
+}
+
+pub fn appendChessboard(
+ vertices: *std.ArrayList(Vertex),
+ board_rect: BoardRect,
+ allocator: std.mem.Allocator,
+) !void {
+ var rank: usize = 0;
+ while (rank < 8) : (rank += 1) {
+ var file: usize = 0;
+ while (file < 8) : (file += 1) {
+ const color = if ((rank + file) % 2 == 0) Dark else Light;
+
+ const x0: f32 = @floatFromInt(file);
+ const x1: f32 = @floatFromInt(file + 1);
+ const y0: f32 = @floatFromInt(rank);
+ const y1: f32 = @floatFromInt(rank + 1);
+
+ try appendQuad(
+ vertices,
+ allocator,
+ boardToNdc(board_rect, x0, y0),
+ boardToNdc(board_rect, x1, y0),
+ boardToNdc(board_rect, x1, y1),
+ boardToNdc(board_rect, x0, y1),
+ color,
+ );
+ }
+ }
+}
+
+pub fn appendPieceQuad(
+ vertices: *std.ArrayList(Vertex),
+ board_rect: BoardRect,
+ allocator: std.mem.Allocator,
+ file: f32,
+ rank: f32,
+) !void {
+ try appendPieceQuadWithColor(vertices, board_rect, allocator, file, rank, White);
+}
+
+pub fn appendPieceQuadWithColor(
+ vertices: *std.ArrayList(Vertex),
+ board_rect: BoardRect,
+ allocator: std.mem.Allocator,
+ file: f32,
+ rank: f32,
+ color: [4]f32,
+) !void {
+ const inset: f32 = 0.08;
+ const x0 = file + inset;
+ const x1 = file + 1.0 - inset;
+ const y0 = rank + inset;
+ const y1 = rank + 1.0 - inset;
+
+ try appendTexturedQuad(
+ vertices,
+ allocator,
+ boardToNdc(board_rect, x0, y0),
+ boardToNdc(board_rect, x1, y0),
+ boardToNdc(board_rect, x1, y1),
+ boardToNdc(board_rect, x0, y1),
+ color,
+ .{ 0.0, 1.0 },
+ .{ 1.0, 1.0 },
+ .{ 1.0, 0.0 },
+ .{ 0.0, 0.0 },
+ );
+}
+
+pub fn appendPieceQuadCenteredAtNdc(
+ vertices: *std.ArrayList(Vertex),
+ allocator: std.mem.Allocator,
+ center: [2]f32,
+ size: [2]f32,
+ color: [4]f32,
+) !void {
+ const half_w = size[0] / 2.0;
+ const half_h = size[1] / 2.0;
+ const x0 = center[0] - half_w;
+ const x1 = center[0] + half_w;
+ const y0 = center[1] - half_h;
+ const y1 = center[1] + half_h;
+
+ try appendTexturedQuad(
+ vertices,
+ allocator,
+ .{ x0, y0 },
+ .{ x1, y0 },
+ .{ x1, y1 },
+ .{ x0, y1 },
+ color,
+ .{ 0.0, 1.0 },
+ .{ 1.0, 1.0 },
+ .{ 1.0, 0.0 },
+ .{ 0.0, 0.0 },
+ );
+}
+
+pub fn appendPiecesFromBoard(
+ vertices: *std.ArrayList(Vertex),
+ board_rect: BoardRect,
+ allocator: std.mem.Allocator,
+ state: board.BoardState,
+) !void {
+ for (0..8) |rank| {
+ for (0..8) |file| {
+ const p = state.getSquare(@intCast(file), @intCast(rank));
+ if (piece.typeOf(p) != piece.PieceType.none) {
+ try appendPieceQuad(vertices, board_rect, allocator, @floatFromInt(file), @floatFromInt(rank));
+ }
+ }
+ }
+}
+
+pub fn boardToNdc(rect: BoardRect, x: f32, y: f32) [2]f32 {
+ return .{
+ rect.left + (x / 8.0) * rect.width,
+ rect.bottom + (y / 8.0) * rect.height,
+ };
+}
diff --git a/src/main.zig b/src/main.zig
index b9b0f4d..a1afcea 100644
--- a/src/main.zig
+++ b/src/main.zig
@@ -1,4 +1,10 @@
const std = @import("std");
+
+pub const std_options = std.Options{
+ .log_level = .info,
+};
+
+const log = std.log.scoped(.graphics);
const glfw = @import("zglfw");
const vk = @import("vulkan");
@@ -14,82 +20,349 @@ const sync_mod = @import("vulkan/sync.zig");
const pipeline_mod = @import("vulkan/pipeline.zig");
const geometry = @import("geometry.zig");
const buffer_mod = @import("vulkan/buffer.zig");
+const assets = @import("assets.zig");
+const texture_mod = @import("vulkan/texture.zig");
+const descriptors_mod = @import("vulkan/descriptors.zig");
+const chess_board = @import("chess/board.zig");
+const chess_piece = @import("chess/piece.zig");
+const bitboard = @import("chess/bitboard.zig");
+const fen = @import("chess/fen.zig");
+const piece_render = @import("piece_render.zig");
+const text_render = @import("text_render.zig");
+const board_input = @import("board_input.zig");
-// The build script compiles these GLSL files to SPIR-V and exposes them as
-// anonymous imports. They are currently only loaded and printed; the program
-// does not create shader modules or a graphics pipeline yet.
const square_vert_spv = @embedFile("square_vertex_shader");
const square_frag_spv = @embedFile("square_fragment_shader");
+const piece_vert_spv = @embedFile("piece_vertex_shader");
+const piece_frag_spv = @embedFile("piece_fragment_shader");
-pub fn main() !void {
- std.debug.print("zig-chess bootstrap\n", .{});
- std.debug.print("vertex shader bytes: {}\n", .{square_vert_spv.len});
- std.debug.print("fragment shader bytes: {}\n", .{square_frag_spv.len});
+const starting_fen = "rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1";
+
+fn fenFromArgs(allocator: std.mem.Allocator, process_args: std.process.Args) ![]u8 {
+ var args = try std.process.Args.Iterator.initAllocator(process_args, allocator);
+ defer args.deinit();
+
+ _ = args.next(); // executable path
+
+ const first_arg = args.next() orelse {
+ return try allocator.dupe(u8, starting_fen);
+ };
+
+ var fen_text: std.ArrayList(u8) = .empty;
+ errdefer fen_text.deinit(allocator);
+ try fen_text.appendSlice(allocator, first_arg);
+
+ while (args.next()) |arg| {
+ try fen_text.append(allocator, ' ');
+ try fen_text.appendSlice(allocator, arg);
+ }
+
+ return try fen_text.toOwnedSlice(allocator);
+}
+
+const PendingDragState = board_input.PendingDragState;
+const DragState = board_input.DragState;
+const AppMode = board_input.InputMode;
+
+var framebuffer_resized = false;
+
+fn framebufferSizeCallback(_: *glfw.Window, _: c_int, _: c_int) callconv(.c) void {
+ framebuffer_resized = true;
+}
+
+fn destroyPieceVertexBuffers(
+ buffers: *[piece_render.PieceGroupCount]?buffer_mod.VertexBufferContext,
+ ldc: *const device_mod.LogicalDeviceContext,
+) void {
+ for (buffers) |*maybe_buffer| {
+ if (maybe_buffer.*) |*piece_buffer| {
+ piece_buffer.destroy(ldc);
+ maybe_buffer.* = null;
+ }
+ }
+}
+
+fn pieceAsset(group: piece_render.PieceGroup) []const u8 {
+ return switch (group) {
+ .white_pawn => assets.white_pawn_rgba,
+ .white_knight => assets.white_knight_rgba,
+ .white_bishop => assets.white_bishop_rgba,
+ .white_rook => assets.white_rook_rgba,
+ .white_queen => assets.white_queen_rgba,
+ .white_king => assets.white_king_rgba,
+ .black_pawn => assets.black_pawn_rgba,
+ .black_knight => assets.black_knight_rgba,
+ .black_bishop => assets.black_bishop_rgba,
+ .black_rook => assets.black_rook_rgba,
+ .black_queen => assets.black_queen_rgba,
+ .black_king => assets.black_king_rgba,
+ };
+}
+
+fn pieceGroupFromIndex(index: usize) piece_render.PieceGroup {
+ return @enumFromInt(@as(u4, @intCast(index)));
+}
+
+fn initPieceTextures(
+ vc: context_mod.VulkanContext,
+ ldc: device_mod.LogicalDeviceContext,
+ upload_command_context: commands_mod.CommandContext,
+) ![piece_render.PieceGroupCount]?texture_mod.TextureContext {
+ var textures: [piece_render.PieceGroupCount]?texture_mod.TextureContext = [_]?texture_mod.TextureContext{null} ** piece_render.PieceGroupCount;
+ errdefer destroyPieceTextures(&textures, &ldc);
+
+ for (0..piece_render.PieceGroupCount) |i| {
+ const group = pieceGroupFromIndex(i);
+ textures[i] = try texture_mod.initTextureFromRgba(
+ vc,
+ ldc,
+ upload_command_context,
+ pieceAsset(group),
+ assets.piece_width,
+ assets.piece_height,
+ .r8g8b8a8_srgb,
+ .optimal,
+ .{
+ .transfer_dst_bit = true,
+ .sampled_bit = true,
+ },
+ .{
+ .device_local_bit = true,
+ },
+ );
+ }
+
+ return textures;
+}
+
+fn destroyPieceTextures(
+ textures: *[piece_render.PieceGroupCount]?texture_mod.TextureContext,
+ ldc: *const device_mod.LogicalDeviceContext,
+) void {
+ for (textures) |*maybe_texture| {
+ if (maybe_texture.*) |*texture| {
+ texture.destroy(ldc);
+ maybe_texture.* = null;
+ }
+ }
+}
+
+fn initPieceDescriptors(
+ ldc: device_mod.LogicalDeviceContext,
+ piece_pipeline_context: pipeline_mod.PipelineContext,
+ textures: [piece_render.PieceGroupCount]?texture_mod.TextureContext,
+) ![piece_render.PieceGroupCount]?descriptors_mod.DescriptorContext {
+ var descriptor_contexts: [piece_render.PieceGroupCount]?descriptors_mod.DescriptorContext = [_]?descriptors_mod.DescriptorContext{null} ** piece_render.PieceGroupCount;
+ errdefer destroyPieceDescriptors(&descriptor_contexts, &ldc);
+
+ for (textures, 0..) |maybe_texture, i| {
+ const texture = maybe_texture orelse continue;
+ descriptor_contexts[i] = try descriptors_mod.initTextureDescriptor(
+ ldc,
+ piece_pipeline_context,
+ texture,
+ );
+ }
+
+ return descriptor_contexts;
+}
+
+fn destroyPieceDescriptors(
+ descriptor_contexts: *[piece_render.PieceGroupCount]?descriptors_mod.DescriptorContext,
+ ldc: *const device_mod.LogicalDeviceContext,
+) void {
+ for (descriptor_contexts) |*maybe_descriptor_context| {
+ if (maybe_descriptor_context.*) |*descriptor_context| {
+ descriptor_context.destroy(ldc);
+ maybe_descriptor_context.* = null;
+ }
+ }
+}
+
+fn squareCoordEql(a: board_input.SquareCoord, b: board_input.SquareCoord) bool {
+ return a.file == b.file and a.rank == b.rank;
+}
+
+fn optionalSquareCoordEql(a: ?board_input.SquareCoord, b: ?board_input.SquareCoord) bool {
+ if (a) |a_square| {
+ if (b) |b_square| return squareCoordEql(a_square, b_square);
+ return false;
+ }
+ return b == null;
+}
+
+fn ndcNearlyEqual(a: [2]f32, b: [2]f32) bool {
+ const epsilon: f32 = 0.002;
+ return @abs(a[0] - b[0]) < epsilon and @abs(a[1] - b[1]) < epsilon;
+}
+
+fn hasDraggedFarEnough(start: [2]f32, current: [2]f32) bool {
+ const threshold: f32 = 0.025;
+ const dx = current[0] - start[0];
+ const dy = current[1] - start[1];
+ return (dx * dx + dy * dy) >= threshold * threshold;
+}
+
+fn appendBoardAndTextVertices(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ board_rect: geometry.BoardRect,
+ state: chess_board.BoardState,
+ selected: ?board_input.SquareCoord,
+ hovered: ?board_input.SquareCoord,
+ valid_moves: []const bitboard.Square,
+ selected_palette_piece: ?u4,
+ mode: AppMode,
+) !void {
+ try text_render.appendModeMenu(vertices, allocator, mode == .edit);
+ try geometry.appendChessboard(vertices, board_rect, allocator);
+ if (mode == .edit) try text_render.appendPalettePieceHighlight(vertices, allocator, board_rect, selected_palette_piece);
+ try text_render.appendSelectedSquareHighlight(vertices, allocator, board_rect, selected);
+ try text_render.appendHoveredSquareHighlight(vertices, allocator, board_rect, hovered);
+ try text_render.appendValidMoveDots(vertices, allocator, board_rect, state, valid_moves);
+ try text_render.appendBoardCoordinateLabels(vertices, allocator, board_rect);
+
+ const fen_text = try fen.formatFen(allocator, state);
+ defer allocator.free(fen_text);
+ try text_render.appendFenText(vertices, allocator, board_rect, fen_text);
+}
+
+fn rebuildBoardAndPieceRenderResources(
+ vc: context_mod.VulkanContext,
+ ldc: device_mod.LogicalDeviceContext,
+ render_pass_context: render_pass_mod.RenderPassContext,
+ framebuffer_context: framebuffers_mod.FramebufferContext,
+ board_pipeline_context: pipeline_mod.PipelineContext,
+ piece_pipeline_context: pipeline_mod.PipelineContext,
+ descriptor_contexts: [piece_render.PieceGroupCount]?descriptors_mod.DescriptorContext,
+ swapchain_context: swapchain_mod.SwapchainContext,
+ board_rect: geometry.BoardRect,
+ state: chess_board.BoardState,
+ selected: ?board_input.SquareCoord,
+ hovered: ?board_input.SquareCoord,
+ valid_moves: []const bitboard.Square,
+ selected_palette_piece: ?u4,
+ drag_state: ?DragState,
+ mode: AppMode,
+ board_vertices: *std.ArrayList(geometry.Vertex),
+ piece_vertex_groups: *piece_render.PieceVertexGroups,
+ board_vertex_buffer_context: *buffer_mod.VertexBufferContext,
+ piece_vertex_buffers: *[piece_render.PieceGroupCount]?buffer_mod.VertexBufferContext,
+ command_context: *commands_mod.CommandContext,
+ allocator: std.mem.Allocator,
+) !void {
+ var new_board_vertices: std.ArrayList(geometry.Vertex) = .empty;
+ errdefer new_board_vertices.deinit(allocator);
+ try appendBoardAndTextVertices(&new_board_vertices, allocator, board_rect, state, selected, hovered, valid_moves, selected_palette_piece, mode);
+
+ var new_piece_vertex_groups = piece_render.PieceVertexGroups.init();
+ errdefer new_piece_vertex_groups.deinit(allocator);
+ const drag_source = if (drag_state) |drag| drag.source else null;
+ try piece_render.appendPiecesGroupedFromBoardExcept(&new_piece_vertex_groups, board_rect, allocator, state, drag_source);
+ if (drag_state) |drag| {
+ try piece_render.appendPieceGhostAtSquare(&new_piece_vertex_groups, board_rect, allocator, drag.encoded, drag.source);
+ try piece_render.appendDraggedPiece(&new_piece_vertex_groups, board_rect, allocator, drag.encoded, drag.cursor_ndc);
+ }
+ if (mode == .edit) try piece_render.appendPalettePiecesGrouped(&new_piece_vertex_groups, board_rect, allocator);
+
+ const new_board_vertex_buffer_context = try buffer_mod.initVertexBuffer(vc, ldc, new_board_vertices.items);
+ errdefer new_board_vertex_buffer_context.destroy(&ldc);
+
+ var new_piece_vertex_buffers: [piece_render.PieceGroupCount]?buffer_mod.VertexBufferContext = [_]?buffer_mod.VertexBufferContext{null} ** piece_render.PieceGroupCount;
+ errdefer destroyPieceVertexBuffers(&new_piece_vertex_buffers, &ldc);
+
+ for (new_piece_vertex_groups.groups, 0..) |group, i| {
+ if (group.items.len == 0) continue;
+ new_piece_vertex_buffers[i] = try buffer_mod.initVertexBuffer(vc, ldc, group.items);
+ }
+
+ const new_command_context = try commands_mod.initCommandBuffers(
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ new_board_vertex_buffer_context,
+ new_piece_vertex_buffers,
+ allocator,
+ );
+ errdefer new_command_context.destroy(&ldc);
+
+ try ldc.vkd.deviceWaitIdle(ldc.device);
+
+ command_context.destroy(&ldc);
+ destroyPieceVertexBuffers(piece_vertex_buffers, &ldc);
+ board_vertex_buffer_context.destroy(&ldc);
+ board_vertices.deinit(allocator);
+ piece_vertex_groups.deinit(allocator);
+
+ board_vertices.* = new_board_vertices;
+ piece_vertex_groups.* = new_piece_vertex_groups;
+ board_vertex_buffer_context.* = new_board_vertex_buffer_context;
+ piece_vertex_buffers.* = new_piece_vertex_buffers;
+ command_context.* = new_command_context;
+}
+
+pub fn main(init: std.process.Init) !void {
+ log.debug("zig-chess bootstrap", .{});
+ log.debug("vertex shader bytes: {}", .{square_vert_spv.len});
+ log.debug("fragment shader bytes: {}", .{square_frag_spv.len});
+
+ const initial_fen = try fenFromArgs(std.heap.page_allocator, init.minimal.args);
+ defer std.heap.page_allocator.free(initial_fen);
+ const initial_state = fen.parseFen(initial_fen) catch |err| {
+ std.log.err("invalid FEN: {s}", .{initial_fen});
+ return err;
+ };
- // ---------------------------------------------------------------------
- // Window bootstrap
- // ---------------------------------------------------------------------
const window = try window_mod.initWindow(800, 600, "zig-chess");
defer glfw.terminate();
defer window.destroy();
+ _ = window.setFramebufferSizeCallback(framebufferSizeCallback);
+
window.show();
window.requestAttention();
- // ---------------------------------------------------------------------
- // Vulkan instance setup
- // ---------------------------------------------------------------------
const vc = try context_mod.initInstance("zig-chess");
defer vc.destroy();
- // ---------------------------------------------------------------------
- // Window surface
- // ---------------------------------------------------------------------
var surface: vk.SurfaceKHR = undefined;
try glfw.createWindowSurface(vc.instance, window, null, &surface);
defer vc.vki.destroySurfaceKHR(vc.instance, surface, null);
- std.debug.print("Created Vulkan surface\n", .{});
+ log.debug("Created Vulkan surface", .{});
- // ---------------------------------------------------------------------
- // Physical device and queue-family discovery
- // ---------------------------------------------------------------------
const physical_devices = try vc.vki.enumeratePhysicalDevicesAlloc(vc.instance, std.heap.page_allocator);
defer std.heap.page_allocator.free(physical_devices);
- // try device_mod.debugPhysicalGPUs(vc, physical_devices, surface);
- // TODO(refactor): this is intentionally temporary and machine-specific.
- // Replace it with selection logic that searches for a device/queue pair
- // where queue_flags.graphics_bit is true and surface present support is
- // true. Hardcoding physical_devices[1] will fail on many systems.
const selected_physical_device = physical_devices[1];
const graphics_queue_family_index: u32 = 0;
const selected_props = vc.vki.getPhysicalDeviceProperties(selected_physical_device);
- std.debug.print(
- "selected device: {s}, queue family {}\n",
+ log.debug(
+ "selected device: {s}, queue family {}",
.{
std.mem.sliceTo(&selected_props.device_name, 0),
graphics_queue_family_index,
},
);
- // ---------------------------------------------------------------------
- // Logical device and queue
- // ---------------------------------------------------------------------
const ldc = try device_mod.initLogicalDevice(vc, selected_physical_device, graphics_queue_family_index);
defer ldc.destroy();
- // ---------------------------------------------------------------------
- // Swapchain-dependent rendering resources
- // ---------------------------------------------------------------------
- var swapchain_context = try swapchain_mod.initSwapchain(vc, ldc, surface, window, std.heap.page_allocator);
+ var swapchain_context = try swapchain_mod.initSwapchain(vc, ldc, surface, window, .null_handle, std.heap.page_allocator);
defer swapchain_context.destroy(&ldc);
var render_pass_context = try render_pass_mod.initRenderPass(ldc, swapchain_context.format.format);
defer render_pass_context.destroy(&ldc);
- var pipeline_context = try pipeline_mod.initPipelineContext(ldc, swapchain_context.extent, render_pass_context.render_pass, square_vert_spv, square_frag_spv, std.heap.page_allocator);
- defer pipeline_context.destroy(&ldc);
+ var board_pipeline_context = try pipeline_mod.initBoardPipelineContext(ldc, swapchain_context.extent, render_pass_context.render_pass, square_vert_spv, square_frag_spv, std.heap.page_allocator);
+ defer board_pipeline_context.destroy(&ldc);
+
+ var piece_pipeline_context = try pipeline_mod.initPiecePipelineContext(ldc, swapchain_context.extent, render_pass_context.render_pass, piece_vert_spv, piece_frag_spv, std.heap.page_allocator);
+ defer piece_pipeline_context.destroy(&ldc);
var framebuffer_context = try framebuffers_mod.initFramebuffers(
ldc,
@@ -99,46 +372,668 @@ pub fn main() !void {
);
defer framebuffer_context.destroy(&ldc);
- const square_vertices = [_]geometry.Vertex{
- .{ .position = .{ -0.5, -0.5 } },
- .{ .position = .{ 0.5, -0.5 } },
- .{ .position = .{ 0.5, 0.5 } },
- .{ .position = .{ -0.5, -0.5 } },
- .{ .position = .{ 0.5, 0.5 } },
- .{ .position = .{ -0.5, 0.5 } },
- };
+ var board_vertices: std.ArrayList(geometry.Vertex) = .empty;
+ defer board_vertices.deinit(std.heap.page_allocator);
- var vertex_buffer_context = try buffer_mod.initVertexBuffer(
+ var piece_vertex_groups = piece_render.PieceVertexGroups.init();
+ defer piece_vertex_groups.deinit(std.heap.page_allocator);
+
+ var current_mode = AppMode.play;
+ var board = geometry.boardRectForExtentWithPalette(
+ swapchain_context.extent.width,
+ swapchain_context.extent.height,
+ current_mode == .edit,
+ );
+
+ var current_state = initial_state;
+ var input_state = board_input.InteractionState{};
+ try appendBoardAndTextVertices(&board_vertices, std.heap.page_allocator, board, current_state, null, null, &[_]bitboard.Square{}, input_state.selected_palette_piece, current_mode);
+ try piece_render.appendPiecesGroupedFromBoard(&piece_vertex_groups, board, std.heap.page_allocator, current_state);
+
+ var board_vertex_buffer_context = try buffer_mod.initVertexBuffer(
vc,
ldc,
- &square_vertices,
+ board_vertices.items,
);
- defer vertex_buffer_context.destroy(&ldc);
+ defer board_vertex_buffer_context.destroy(&ldc);
+
+ var piece_vertex_buffers: [piece_render.PieceGroupCount]?buffer_mod.VertexBufferContext = [_]?buffer_mod.VertexBufferContext{null} ** piece_render.PieceGroupCount;
+
+ for (piece_vertex_groups.groups, 0..) |group, i| {
+ if (group.items.len == 0) continue;
+
+ piece_vertex_buffers[i] = try buffer_mod.initVertexBuffer(
+ vc,
+ ldc,
+ group.items,
+ );
+ }
+ defer destroyPieceVertexBuffers(&piece_vertex_buffers, &ldc);
+
+ var upload_command_context = try commands_mod.initCommandPoolOnly(ldc, std.heap.page_allocator);
+ defer upload_command_context.destroy(&ldc);
+
+ var piece_textures = try initPieceTextures(vc, ldc, upload_command_context);
+ defer destroyPieceTextures(&piece_textures, &ldc);
+
+ var descriptor_contexts = try initPieceDescriptors(
+ ldc,
+ piece_pipeline_context,
+ piece_textures,
+ );
+ defer destroyPieceDescriptors(&descriptor_contexts, &ldc);
var command_context = try commands_mod.initCommandBuffers(
ldc,
render_pass_context,
framebuffer_context,
- pipeline_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
swapchain_context,
- vertex_buffer_context,
+ board_vertex_buffer_context,
+ piece_vertex_buffers,
std.heap.page_allocator,
);
defer command_context.destroy(&ldc);
- // ---------------------------------------------------------------------
- // Synchronization objects
- // ---------------------------------------------------------------------
const sync_context = try sync_mod.initSyncObjects(ldc);
defer sync_context.destroy(&ldc);
- // ---------------------------------------------------------------------
- // Event loop
- // ---------------------------------------------------------------------
+ var hovered_square: ?board_input.SquareCoord = null;
+ var valid_moves: std.ArrayList(bitboard.Square) = .empty;
+ defer valid_moves.deinit(std.heap.page_allocator);
+ var left_was_pressed = false;
+ var copy_was_pressed = false;
+ var paste_was_pressed = false;
+
while (!window.shouldClose()) {
glfw.pollEvents();
+
+ const ctrl_is_pressed = window.getKey(.left_control) == .press or window.getKey(.right_control) == .press;
+ const c_is_pressed = window.getKey(.c) == .press;
+ const copy_is_pressed = ctrl_is_pressed and c_is_pressed;
+ if (copy_is_pressed and !copy_was_pressed) {
+ const fen_text = try fen.formatFen(std.heap.page_allocator, current_state);
+ defer std.heap.page_allocator.free(fen_text);
+ const fen_text_z = try std.heap.page_allocator.dupeZ(u8, fen_text);
+ defer std.heap.page_allocator.free(fen_text_z);
+ window.setClipboardString(fen_text_z);
+ std.log.info("copied FEN to clipboard: {s}", .{fen_text});
+ }
+ copy_was_pressed = copy_is_pressed;
+
+ const v_is_pressed = window.getKey(.v) == .press;
+ const paste_is_pressed = ctrl_is_pressed and v_is_pressed;
+ if (paste_is_pressed and !paste_was_pressed) {
+ if (window.getClipboardString()) |clipboard_text| {
+ const pasted_state = fen.parseFen(clipboard_text) catch |err| {
+ std.log.warn("clipboard does not contain a valid FEN: {}", .{err});
+ paste_was_pressed = paste_is_pressed;
+ continue;
+ };
+
+ current_state = pasted_state;
+ input_state.selected_palette_piece = null;
+ input_state.pending_drag = null;
+ input_state.current_drag = null;
+ input_state.selection.selected = null;
+ hovered_square = null;
+ valid_moves.clearRetainingCapacity();
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ null,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ std.log.info("pasted FEN from clipboard: {s}", .{clipboard_text});
+ } else {
+ std.log.warn("clipboard is empty or unavailable", .{});
+ }
+ }
+ paste_was_pressed = paste_is_pressed;
+
+ const cursor_pos = window.getCursorPos();
+ const framebuffer_size = window.getFramebufferSize();
+ const cursor_square = if (framebuffer_size[0] > 0 and framebuffer_size[1] > 0)
+ board_input.screenToBoardSquare(
+ cursor_pos[0],
+ cursor_pos[1],
+ @intCast(framebuffer_size[0]),
+ @intCast(framebuffer_size[1]),
+ board,
+ )
+ else
+ null;
+ const cursor_ndc = if (framebuffer_size[0] > 0 and framebuffer_size[1] > 0)
+ board_input.screenToNdc(
+ cursor_pos[0],
+ cursor_pos[1],
+ @intCast(framebuffer_size[0]),
+ @intCast(framebuffer_size[1]),
+ )
+ else
+ null;
+
+ const new_hovered_square = board_input.hoveredSquareForState(input_state, current_mode, cursor_square);
+ if (!optionalSquareCoordEql(hovered_square, new_hovered_square)) {
+ hovered_square = new_hovered_square;
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ input_state.selection.selected,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ input_state.current_drag,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ }
+
+ const left_is_pressed = window.getMouseButton(.left) == .press;
+ if (left_is_pressed and current_mode == .play) {
+ switch (board_input.handleDragUpdate(&input_state, cursor_ndc)) {
+ .none => {},
+ .drag_started => |held_square| {
+ valid_moves.clearRetainingCapacity();
+ // Populate valid_moves for the held piece here.
+ try current_state.getValidMoves(held_square, &valid_moves, std.heap.page_allocator);
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ input_state.current_drag,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .drag_moved => {
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ input_state.current_drag,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ }
+ }
+
+ if (left_is_pressed and !left_was_pressed) {
+ const mode_button = if (framebuffer_size[0] > 0 and framebuffer_size[1] > 0)
+ board_input.screenToModeButton(
+ cursor_pos[0],
+ cursor_pos[1],
+ @intCast(framebuffer_size[0]),
+ @intCast(framebuffer_size[1]),
+ )
+ else
+ null;
+ const palette_piece = if (current_mode == .edit and framebuffer_size[0] > 0 and framebuffer_size[1] > 0)
+ board_input.screenToPalettePiece(
+ cursor_pos[0],
+ cursor_pos[1],
+ @intCast(framebuffer_size[0]),
+ @intCast(framebuffer_size[1]),
+ board,
+ )
+ else
+ null;
+
+ switch (board_input.handleMousePress(
+ &input_state,
+ current_state,
+ current_mode,
+ mode_button,
+ palette_piece,
+ cursor_square,
+ cursor_ndc,
+ )) {
+ .none => {},
+ .mode_changed => |new_mode| {
+ current_mode = new_mode;
+ hovered_square = null;
+ valid_moves.clearRetainingCapacity();
+ board = geometry.boardRectForExtentWithPalette(
+ @intCast(framebuffer_size[0]),
+ @intCast(framebuffer_size[1]),
+ current_mode == .edit,
+ );
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ null,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .reset_requested => {
+ current_state = try fen.parseFen(starting_fen);
+ input_state.selected_palette_piece = null;
+ input_state.selection.selected = null;
+ input_state.pending_drag = null;
+ input_state.current_drag = null;
+ hovered_square = null;
+ valid_moves.clearRetainingCapacity();
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ null,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .palette_changed => {
+ hovered_square = null;
+ valid_moves.clearRetainingCapacity();
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ null,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .edit_place => |place| {
+ current_state.setSquare(place.square.file, place.square.rank, place.encoded);
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .edit_clear => |square| {
+ current_state.setSquare(square.file, square.rank, 0);
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .play_cleared => {
+ log.debug("selection cleared", .{});
+ hovered_square = null;
+ valid_moves.clearRetainingCapacity();
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ null,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .play_selected => |selected_square| {
+ const selected_coord = board_input.squareToCoord(selected_square);
+ log.debug("selected square file={} rank={}", .{ selected_coord.file, selected_coord.rank });
+ hovered_square = selected_coord;
+ valid_moves.clearRetainingCapacity();
+ // Populate valid_moves for the selected piece here.
+ try current_state.getValidMoves(selected_square, &valid_moves, std.heap.page_allocator);
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ selected_coord,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .play_move_requested => |move| {
+ log.debug(
+ "move requested from file={} rank={} to file={} rank={}",
+ .{ move.from.file, move.from.rank, move.to.file, move.to.rank },
+ );
+ // Validate move against valid_moves here before mutating board.
+ try current_state.move(move.from.file, move.from.rank, move.to.file, move.to.rank);
+ hovered_square = null;
+ valid_moves.clearRetainingCapacity();
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ null,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ }
+ }
+
+ if (!left_is_pressed and left_was_pressed) {
+ switch (board_input.handleMouseRelease(&input_state, cursor_square)) {
+ .none, .click_without_drag => {},
+ .drag_cancelled => |selected_after_release| {
+ const selected_coord_after_release = if (selected_after_release) |selected_square| board_input.squareToCoord(selected_square) else null;
+ hovered_square = selected_coord_after_release;
+ valid_moves.clearRetainingCapacity();
+ if (selected_after_release) |selected_square| {
+ // Repopulate valid_moves for the restored selection here if desired.
+ try current_state.getValidMoves(selected_square, &valid_moves, std.heap.page_allocator);
+ }
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ selected_coord_after_release,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .drag_selected => |selected_square| {
+ const selected_coord = board_input.squareToCoord(selected_square);
+ hovered_square = selected_coord;
+ valid_moves.clearRetainingCapacity();
+ // Populate valid_moves for the selected piece here.
+ try current_state.getValidMoves(selected_square, &valid_moves, std.heap.page_allocator);
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ selected_coord,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .drag_cleared => {
+ hovered_square = null;
+ valid_moves.clearRetainingCapacity();
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ null,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ .drag_move_requested => |move| {
+ // Validate drag move against valid_moves here before mutating board.
+ try current_state.move(move.from.file, move.from.rank, move.to.file, move.to.rank);
+ hovered_square = null;
+ valid_moves.clearRetainingCapacity();
+ try rebuildBoardAndPieceRenderResources(
+ vc,
+ ldc,
+ render_pass_context,
+ framebuffer_context,
+ board_pipeline_context,
+ piece_pipeline_context,
+ descriptor_contexts,
+ swapchain_context,
+ board,
+ current_state,
+ null,
+ null,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ null,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
+ &command_context,
+ std.heap.page_allocator,
+ );
+ },
+ }
+ }
+ left_was_pressed = left_is_pressed;
+
const result = try frame_mod.drawFrame(ldc, swapchain_context, command_context, sync_context);
- if (result == .Recreate) {
+ if (result == .Recreate or framebuffer_resized) {
+ framebuffer_resized = false;
try recreateSwapchain(
vc,
ldc,
@@ -147,10 +1042,23 @@ pub fn main() !void {
&swapchain_context,
&render_pass_context,
&framebuffer_context,
- &pipeline_context,
- &vertex_buffer_context,
+ &board_pipeline_context,
+ &piece_pipeline_context,
+ &descriptor_contexts,
+ &board_vertex_buffer_context,
+ &piece_vertex_buffers,
&command_context,
- &square_vertices,
+ &board,
+ current_state,
+ input_state.selection.selected,
+ hovered_square,
+ valid_moves.items,
+ input_state.selected_palette_piece,
+ input_state.current_drag,
+ current_mode,
+ &board_vertices,
+ &piece_vertex_groups,
+ piece_textures,
std.heap.page_allocator,
);
}
@@ -167,15 +1075,25 @@ fn recreateSwapchain(
swapchain_context: *swapchain_mod.SwapchainContext,
render_pass_context: *render_pass_mod.RenderPassContext,
framebuffer_context: *framebuffers_mod.FramebufferContext,
- pipeline_context: *pipeline_mod.PipelineContext,
- vertex_buffer_context: *buffer_mod.VertexBufferContext,
+ board_pipeline_context: *pipeline_mod.PipelineContext,
+ piece_pipeline_context: *pipeline_mod.PipelineContext,
+ descriptor_contexts: *[piece_render.PieceGroupCount]?descriptors_mod.DescriptorContext,
+ board_vertex_buffer_context: *buffer_mod.VertexBufferContext,
+ piece_vertex_buffers: *[piece_render.PieceGroupCount]?buffer_mod.VertexBufferContext,
command_context: *commands_mod.CommandContext,
- vertices: []const geometry.Vertex,
+ board_rect: *geometry.BoardRect,
+ state: chess_board.BoardState,
+ selected: ?board_input.SquareCoord,
+ hovered: ?board_input.SquareCoord,
+ valid_moves: []const bitboard.Square,
+ selected_palette_piece: ?u4,
+ drag_state: ?DragState,
+ mode: AppMode,
+ board_vertices: *std.ArrayList(geometry.Vertex),
+ piece_vertex_groups: *piece_render.PieceVertexGroups,
+ piece_textures: [piece_render.PieceGroupCount]?texture_mod.TextureContext,
allocator: std.mem.Allocator,
) !void {
- // A minimized window can report a zero-sized framebuffer. Vulkan swapchain
- // extents must be non-zero, so wait here until the window has drawable size
- // again before trying to recreate swapchain-dependent resources.
while (!window.shouldClose()) {
const framebuffer_size = window.getFramebufferSize();
if (framebuffer_size[0] != 0 and framebuffer_size[1] != 0) {
@@ -188,24 +1106,57 @@ fn recreateSwapchain(
return;
}
- // Make sure the GPU is no longer using the old swapchain, framebuffers, or
- // command buffers before we destroy them.
try ldc.vkd.deviceWaitIdle(ldc.device);
- // Build the replacement resource chain first. If any allocation/creation
- // fails, the old contexts are still intact and their existing defers remain
- // valid during error unwinding.
- const new_swapchain_context = try swapchain_mod.initSwapchain(vc, ldc, surface, window, allocator);
+ const new_swapchain_context = try swapchain_mod.initSwapchain(vc, ldc, surface, window, swapchain_context.swapchain, allocator);
errdefer new_swapchain_context.destroy(&ldc);
const new_render_pass_context = try render_pass_mod.initRenderPass(ldc, new_swapchain_context.format.format);
errdefer new_render_pass_context.destroy(&ldc);
- const new_pipeline_context = try pipeline_mod.initPipelineContext(ldc, new_swapchain_context.extent, new_render_pass_context.render_pass, square_vert_spv, square_frag_spv, allocator);
- errdefer new_pipeline_context.destroy(&ldc);
+ const new_board_pipeline_context = try pipeline_mod.initBoardPipelineContext(ldc, new_swapchain_context.extent, new_render_pass_context.render_pass, square_vert_spv, square_frag_spv, allocator);
+ errdefer new_board_pipeline_context.destroy(&ldc);
- const new_vertex_buffer_context = try buffer_mod.initVertexBuffer(vc, ldc, vertices);
- errdefer new_vertex_buffer_context.destroy(&ldc);
+ const new_piece_pipeline_context = try pipeline_mod.initPiecePipelineContext(ldc, new_swapchain_context.extent, new_render_pass_context.render_pass, piece_vert_spv, piece_frag_spv, allocator);
+ errdefer new_piece_pipeline_context.destroy(&ldc);
+
+ var new_descriptor_contexts = try initPieceDescriptors(
+ ldc,
+ new_piece_pipeline_context,
+ piece_textures,
+ );
+ errdefer destroyPieceDescriptors(&new_descriptor_contexts, &ldc);
+
+ board_vertices.clearRetainingCapacity();
+ for (&piece_vertex_groups.groups) |*group| {
+ group.clearRetainingCapacity();
+ }
+
+ const new_board = geometry.boardRectForExtentWithPalette(
+ new_swapchain_context.extent.width,
+ new_swapchain_context.extent.height,
+ mode == .edit,
+ );
+ try appendBoardAndTextVertices(board_vertices, allocator, new_board, state, selected, hovered, valid_moves, selected_palette_piece, mode);
+ const drag_source = if (drag_state) |drag| drag.source else null;
+ try piece_render.appendPiecesGroupedFromBoardExcept(piece_vertex_groups, new_board, allocator, state, drag_source);
+ if (drag_state) |drag| {
+ try piece_render.appendPieceGhostAtSquare(piece_vertex_groups, new_board, allocator, drag.encoded, drag.source);
+ try piece_render.appendDraggedPiece(piece_vertex_groups, new_board, allocator, drag.encoded, drag.cursor_ndc);
+ }
+ if (mode == .edit) try piece_render.appendPalettePiecesGrouped(piece_vertex_groups, new_board, allocator);
+
+ const new_board_vertex_buffer_context = try buffer_mod.initVertexBuffer(vc, ldc, board_vertices.items);
+ errdefer new_board_vertex_buffer_context.destroy(&ldc);
+
+ var new_piece_vertex_buffers: [piece_render.PieceGroupCount]?buffer_mod.VertexBufferContext = [_]?buffer_mod.VertexBufferContext{null} ** piece_render.PieceGroupCount;
+ errdefer destroyPieceVertexBuffers(&new_piece_vertex_buffers, &ldc);
+
+ for (piece_vertex_groups.groups, 0..) |group, i| {
+ if (group.items.len == 0) continue;
+
+ new_piece_vertex_buffers[i] = try buffer_mod.initVertexBuffer(vc, ldc, group.items);
+ }
const new_framebuffer_context = try framebuffers_mod.initFramebuffers(
ldc,
@@ -219,29 +1170,36 @@ fn recreateSwapchain(
ldc,
new_render_pass_context,
new_framebuffer_context,
- new_pipeline_context,
+ new_board_pipeline_context,
+ new_piece_pipeline_context,
+ new_descriptor_contexts,
new_swapchain_context,
- new_vertex_buffer_context,
+ new_board_vertex_buffer_context,
+ new_piece_vertex_buffers,
allocator,
);
errdefer new_command_context.destroy(&ldc);
- // Now that the full replacement chain exists, release the old chain in
- // dependency order: command buffers/pool -> framebuffers -> render pass ->
- // swapchain/image views/images.
command_context.destroy(&ldc);
- vertex_buffer_context.destroy(&ldc);
+ destroyPieceVertexBuffers(piece_vertex_buffers, &ldc);
+ board_vertex_buffer_context.destroy(&ldc);
framebuffer_context.destroy(&ldc);
- pipeline_context.destroy(&ldc);
+ destroyPieceDescriptors(descriptor_contexts, &ldc);
+ piece_pipeline_context.destroy(&ldc);
+ board_pipeline_context.destroy(&ldc);
render_pass_context.destroy(&ldc);
swapchain_context.destroy(&ldc);
swapchain_context.* = new_swapchain_context;
render_pass_context.* = new_render_pass_context;
- pipeline_context.* = new_pipeline_context;
- vertex_buffer_context.* = new_vertex_buffer_context;
+ board_pipeline_context.* = new_board_pipeline_context;
+ piece_pipeline_context.* = new_piece_pipeline_context;
+ descriptor_contexts.* = new_descriptor_contexts;
+ board_vertex_buffer_context.* = new_board_vertex_buffer_context;
+ piece_vertex_buffers.* = new_piece_vertex_buffers;
+ board_rect.* = new_board;
framebuffer_context.* = new_framebuffer_context;
command_context.* = new_command_context;
- std.debug.print("recreated swapchain resources\n", .{});
+ log.debug("recreated swapchain resources", .{});
}
diff --git a/src/piece_render.zig b/src/piece_render.zig
new file mode 100644
index 0000000..0f5bdec
--- /dev/null
+++ b/src/piece_render.zig
@@ -0,0 +1,309 @@
+const std = @import("std");
+
+const board = @import("chess/board.zig");
+const fen = @import("chess/fen.zig");
+const geometry = @import("geometry.zig");
+const piece = @import("chess/piece.zig");
+
+pub const PieceGroup = enum(u4) {
+ white_pawn,
+ white_knight,
+ white_bishop,
+ white_rook,
+ white_queen,
+ white_king,
+ black_pawn,
+ black_knight,
+ black_bishop,
+ black_rook,
+ black_queen,
+ black_king,
+};
+
+pub const PieceGroupCount = 12;
+
+pub const PaletteEntry = struct {
+ group: PieceGroup,
+ encoded: u4,
+};
+
+pub const palette_entries = [_]PaletteEntry{
+ .{ .group = .white_king, .encoded = piece.encode(.white, .king) },
+ .{ .group = .white_queen, .encoded = piece.encode(.white, .queen) },
+ .{ .group = .white_rook, .encoded = piece.encode(.white, .rook) },
+ .{ .group = .white_bishop, .encoded = piece.encode(.white, .bishop) },
+ .{ .group = .white_knight, .encoded = piece.encode(.white, .knight) },
+ .{ .group = .white_pawn, .encoded = piece.encode(.white, .pawn) },
+ .{ .group = .black_king, .encoded = piece.encode(.black, .king) },
+ .{ .group = .black_queen, .encoded = piece.encode(.black, .queen) },
+ .{ .group = .black_rook, .encoded = piece.encode(.black, .rook) },
+ .{ .group = .black_bishop, .encoded = piece.encode(.black, .bishop) },
+ .{ .group = .black_knight, .encoded = piece.encode(.black, .knight) },
+ .{ .group = .black_pawn, .encoded = piece.encode(.black, .pawn) },
+};
+
+pub fn paletteRectForBoard(board_rect: geometry.BoardRect) geometry.BoardRect {
+ const gap = board_rect.width / 48.0;
+ return .{
+ .left = board_rect.left + board_rect.width + gap,
+ .bottom = board_rect.bottom,
+ .width = board_rect.width / @as(f32, @floatFromInt(palette_entries.len)),
+ .height = board_rect.height,
+ };
+}
+
+pub const PieceVertexGroups = struct {
+ groups: [PieceGroupCount]std.ArrayList(geometry.Vertex),
+
+ pub fn init() PieceVertexGroups {
+ return .{
+ .groups = [_]std.ArrayList(geometry.Vertex){.empty} ** PieceGroupCount,
+ };
+ }
+
+ pub fn deinit(self: *PieceVertexGroups, allocator: std.mem.Allocator) void {
+ for (&self.groups) |*vertex_group| {
+ vertex_group.deinit(allocator);
+ }
+ }
+
+ pub fn group(self: *PieceVertexGroups, piece_group: PieceGroup) *std.ArrayList(geometry.Vertex) {
+ return &self.groups[@intFromEnum(piece_group)];
+ }
+
+ pub fn constGroup(self: *const PieceVertexGroups, piece_group: PieceGroup) *const std.ArrayList(geometry.Vertex) {
+ return &self.groups[@intFromEnum(piece_group)];
+ }
+};
+
+pub fn pieceGroupFromEncoded(encoded: u4) ?PieceGroup {
+ if (encoded == 0) return null;
+
+ const color = piece.colorOf(encoded) orelse return null;
+ const piece_type = piece.typeOf(encoded);
+
+ return switch (color) {
+ .white => switch (piece_type) {
+ .pawn => .white_pawn,
+ .knight => .white_knight,
+ .bishop => .white_bishop,
+ .rook => .white_rook,
+ .queen => .white_queen,
+ .king => .white_king,
+ .none => null,
+ },
+ .black => switch (piece_type) {
+ .pawn => .black_pawn,
+ .knight => .black_knight,
+ .bishop => .black_bishop,
+ .rook => .black_rook,
+ .queen => .black_queen,
+ .king => .black_king,
+ .none => null,
+ },
+ };
+}
+
+fn appendPieceQuadInRect(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ rect: geometry.BoardRect,
+) !void {
+ const inset_x = rect.width * 0.08;
+ const inset_y = rect.height * 0.08;
+ const x0 = rect.left + inset_x;
+ const x1 = rect.left + rect.width - inset_x;
+ const y0 = rect.bottom + inset_y;
+ const y1 = rect.bottom + rect.height - inset_y;
+
+ try geometry.appendTexturedQuad(
+ vertices,
+ allocator,
+ .{ x0, y0 },
+ .{ x1, y0 },
+ .{ x1, y1 },
+ .{ x0, y1 },
+ geometry.White,
+ .{ 0.0, 1.0 },
+ .{ 1.0, 1.0 },
+ .{ 1.0, 0.0 },
+ .{ 0.0, 0.0 },
+ );
+}
+
+pub fn appendPiecesGroupedFromBoard(
+ groups: *PieceVertexGroups,
+ board_rect: geometry.BoardRect,
+ allocator: std.mem.Allocator,
+ state: board.BoardState,
+) !void {
+ try appendPiecesGroupedFromBoardExcept(groups, board_rect, allocator, state, null);
+}
+
+pub fn appendPiecesGroupedFromBoardExcept(
+ groups: *PieceVertexGroups,
+ board_rect: geometry.BoardRect,
+ allocator: std.mem.Allocator,
+ state: board.BoardState,
+ except_square: ?@import("board_input.zig").SquareCoord,
+) !void {
+ for (0..8) |rank| {
+ for (0..8) |file| {
+ if (except_square) |except| {
+ if (except.file == file and except.rank == rank) continue;
+ }
+
+ const encoded = state.getSquare(@intCast(file), @intCast(rank));
+ const piece_group = pieceGroupFromEncoded(encoded) orelse continue;
+
+ try geometry.appendPieceQuad(
+ groups.group(piece_group),
+ board_rect,
+ allocator,
+ @as(f32, @floatFromInt(file)),
+ @as(f32, @floatFromInt(rank)),
+ );
+ }
+ }
+}
+
+pub fn appendPieceGhostAtSquare(
+ groups: *PieceVertexGroups,
+ board_rect: geometry.BoardRect,
+ allocator: std.mem.Allocator,
+ encoded: u4,
+ square: @import("board_input.zig").SquareCoord,
+) !void {
+ const piece_group = pieceGroupFromEncoded(encoded) orelse return;
+ try geometry.appendPieceQuadWithColor(
+ groups.group(piece_group),
+ board_rect,
+ allocator,
+ @floatFromInt(square.file),
+ @floatFromInt(square.rank),
+ .{ 1.0, 1.0, 1.0, 0.35 },
+ );
+}
+
+pub fn appendDraggedPiece(
+ groups: *PieceVertexGroups,
+ board_rect: geometry.BoardRect,
+ allocator: std.mem.Allocator,
+ encoded: u4,
+ center_ndc: [2]f32,
+) !void {
+ const piece_group = pieceGroupFromEncoded(encoded) orelse return;
+ try geometry.appendPieceQuadCenteredAtNdc(
+ groups.group(piece_group),
+ allocator,
+ center_ndc,
+ .{ board_rect.width / 8.0 * 0.84, board_rect.height / 8.0 * 0.84 },
+ geometry.White,
+ );
+}
+
+pub fn appendPalettePiecesGrouped(
+ groups: *PieceVertexGroups,
+ board_rect: geometry.BoardRect,
+ allocator: std.mem.Allocator,
+) !void {
+ const palette_rect = paletteRectForBoard(board_rect);
+ const cell_height = palette_rect.height / @as(f32, @floatFromInt(palette_entries.len));
+
+ for (palette_entries, 0..) |entry, i| {
+ const y = palette_rect.bottom + (@as(f32, @floatFromInt(palette_entries.len - 1 - i)) * cell_height);
+ const cell_rect = geometry.BoardRect{
+ .left = palette_rect.left,
+ .bottom = y,
+ .width = palette_rect.width,
+ .height = cell_height,
+ };
+ try appendPieceQuadInRect(groups.group(entry.group), allocator, cell_rect);
+ }
+}
+
+pub fn paletteIndexForEncoded(encoded: u4) ?usize {
+ for (palette_entries, 0..) |entry, i| {
+ if (entry.encoded == encoded) return i;
+ }
+ return null;
+}
+
+fn expectGroupVertexCount(groups: *const PieceVertexGroups, piece_group: PieceGroup, expected: usize) !void {
+ try std.testing.expectEqual(expected, groups.constGroup(piece_group).items.len);
+}
+
+test "pieceGroupFromEncoded maps encoded pieces to render groups" {
+ try std.testing.expectEqual(PieceGroup.white_pawn, pieceGroupFromEncoded(piece.encode(.white, .pawn)).?);
+ try std.testing.expectEqual(PieceGroup.white_knight, pieceGroupFromEncoded(piece.encode(.white, .knight)).?);
+ try std.testing.expectEqual(PieceGroup.white_bishop, pieceGroupFromEncoded(piece.encode(.white, .bishop)).?);
+ try std.testing.expectEqual(PieceGroup.white_rook, pieceGroupFromEncoded(piece.encode(.white, .rook)).?);
+ try std.testing.expectEqual(PieceGroup.white_queen, pieceGroupFromEncoded(piece.encode(.white, .queen)).?);
+ try std.testing.expectEqual(PieceGroup.white_king, pieceGroupFromEncoded(piece.encode(.white, .king)).?);
+
+ try std.testing.expectEqual(PieceGroup.black_pawn, pieceGroupFromEncoded(piece.encode(.black, .pawn)).?);
+ try std.testing.expectEqual(PieceGroup.black_knight, pieceGroupFromEncoded(piece.encode(.black, .knight)).?);
+ try std.testing.expectEqual(PieceGroup.black_bishop, pieceGroupFromEncoded(piece.encode(.black, .bishop)).?);
+ try std.testing.expectEqual(PieceGroup.black_rook, pieceGroupFromEncoded(piece.encode(.black, .rook)).?);
+ try std.testing.expectEqual(PieceGroup.black_queen, pieceGroupFromEncoded(piece.encode(.black, .queen)).?);
+ try std.testing.expectEqual(PieceGroup.black_king, pieceGroupFromEncoded(piece.encode(.black, .king)).?);
+
+ try std.testing.expectEqual(null, pieceGroupFromEncoded(0));
+}
+
+test "appendPiecesGroupedFromBoard leaves all groups empty for empty board" {
+ const state = board.BoardState.empty();
+ const board_rect = geometry.boardRectForExtent(800, 600);
+
+ var groups = PieceVertexGroups.init();
+ defer groups.deinit(std.testing.allocator);
+
+ try appendPiecesGroupedFromBoard(&groups, board_rect, std.testing.allocator, state);
+
+ for (groups.groups) |vertex_group| {
+ try std.testing.expectEqual(@as(usize, 0), vertex_group.items.len);
+ }
+}
+
+test "appendPalettePiecesGrouped adds one piece to each piece group" {
+ const board_rect = geometry.boardRectForExtent(800, 600);
+
+ var groups = PieceVertexGroups.init();
+ defer groups.deinit(std.testing.allocator);
+
+ try appendPalettePiecesGrouped(&groups, board_rect, std.testing.allocator);
+
+ for (groups.groups) |vertex_group| {
+ try std.testing.expectEqual(@as(usize, 6), vertex_group.items.len);
+ }
+}
+
+test "appendPiecesGroupedFromBoard groups starting position vertices by piece" {
+ const state = try fen.parseFen("rnbqkbnr/pppppppp/8/8/8/8/PPPPPPPP/RNBQKBNR w KQkq - 0 1");
+ const board_rect = geometry.boardRectForExtent(800, 600);
+
+ var groups = PieceVertexGroups.init();
+ defer groups.deinit(std.testing.allocator);
+
+ try appendPiecesGroupedFromBoard(&groups, board_rect, std.testing.allocator, state);
+
+ try expectGroupVertexCount(&groups, .white_pawn, 8 * 6);
+ try expectGroupVertexCount(&groups, .white_knight, 2 * 6);
+ try expectGroupVertexCount(&groups, .white_bishop, 2 * 6);
+ try expectGroupVertexCount(&groups, .white_rook, 2 * 6);
+ try expectGroupVertexCount(&groups, .white_queen, 1 * 6);
+ try expectGroupVertexCount(&groups, .white_king, 1 * 6);
+
+ try expectGroupVertexCount(&groups, .black_pawn, 8 * 6);
+ try expectGroupVertexCount(&groups, .black_knight, 2 * 6);
+ try expectGroupVertexCount(&groups, .black_bishop, 2 * 6);
+ try expectGroupVertexCount(&groups, .black_rook, 2 * 6);
+ try expectGroupVertexCount(&groups, .black_queen, 1 * 6);
+ try expectGroupVertexCount(&groups, .black_king, 1 * 6);
+
+ var total_vertices: usize = 0;
+ for (groups.groups) |vertex_group| {
+ total_vertices += vertex_group.items.len;
+ }
+ try std.testing.expectEqual(@as(usize, 32 * 6), total_vertices);
+}
diff --git a/src/text_render.zig b/src/text_render.zig
new file mode 100644
index 0000000..e5e97d9
--- /dev/null
+++ b/src/text_render.zig
@@ -0,0 +1,430 @@
+const std = @import("std");
+
+const board_input = @import("board_input.zig");
+const bitboard = @import("chess/bitboard.zig");
+const chess_board = @import("chess/board.zig");
+const geometry = @import("geometry.zig");
+const piece_render = @import("piece_render.zig");
+
+const Glyph = [7]u5;
+
+pub const TextStyle = struct {
+ pixel_size: f32,
+ pixel_aspect: f32 = 1.0,
+ color: [4]f32,
+};
+
+fn glyphForChar(ch: u8) ?Glyph {
+ return switch (ch) {
+ '0' => .{ 0b01110, 0b10001, 0b10011, 0b10101, 0b11001, 0b10001, 0b01110 },
+ '1' => .{ 0b00100, 0b01100, 0b00100, 0b00100, 0b00100, 0b00100, 0b01110 },
+ '2' => .{ 0b01110, 0b10001, 0b00001, 0b00010, 0b00100, 0b01000, 0b11111 },
+ '3' => .{ 0b11110, 0b00001, 0b00001, 0b01110, 0b00001, 0b00001, 0b11110 },
+ '4' => .{ 0b00010, 0b00110, 0b01010, 0b10010, 0b11111, 0b00010, 0b00010 },
+ '5' => .{ 0b11111, 0b10000, 0b10000, 0b11110, 0b00001, 0b00001, 0b11110 },
+ '6' => .{ 0b01110, 0b10000, 0b10000, 0b11110, 0b10001, 0b10001, 0b01110 },
+ '7' => .{ 0b11111, 0b00001, 0b00010, 0b00100, 0b01000, 0b01000, 0b01000 },
+ '8' => .{ 0b01110, 0b10001, 0b10001, 0b01110, 0b10001, 0b10001, 0b01110 },
+ '9' => .{ 0b01110, 0b10001, 0b10001, 0b01111, 0b00001, 0b00001, 0b01110 },
+
+ 'a' => .{ 0b00000, 0b00000, 0b01110, 0b00001, 0b01111, 0b10001, 0b01111 },
+ 'b' => .{ 0b10000, 0b10000, 0b10110, 0b11001, 0b10001, 0b10001, 0b11110 },
+ 'c' => .{ 0b00000, 0b00000, 0b01111, 0b10000, 0b10000, 0b10000, 0b01111 },
+ 'd' => .{ 0b00001, 0b00001, 0b01101, 0b10011, 0b10001, 0b10001, 0b01111 },
+ 'e' => .{ 0b00000, 0b00000, 0b01110, 0b10001, 0b11111, 0b10000, 0b01110 },
+ 'f' => .{ 0b00110, 0b01000, 0b01000, 0b11100, 0b01000, 0b01000, 0b01000 },
+ 'g' => .{ 0b00000, 0b01111, 0b10001, 0b10001, 0b01111, 0b00001, 0b01110 },
+ 'i' => .{ 0b00100, 0b00000, 0b01100, 0b00100, 0b00100, 0b00100, 0b01110 },
+ 'h' => .{ 0b10000, 0b10000, 0b10110, 0b11001, 0b10001, 0b10001, 0b10001 },
+ 'k' => .{ 0b10000, 0b10010, 0b10100, 0b11000, 0b10100, 0b10010, 0b10001 },
+ 'l' => .{ 0b01100, 0b00100, 0b00100, 0b00100, 0b00100, 0b00100, 0b01110 },
+ 'n' => .{ 0b00000, 0b00000, 0b10110, 0b11001, 0b10001, 0b10001, 0b10001 },
+ 'p' => .{ 0b00000, 0b00000, 0b11110, 0b10001, 0b11110, 0b10000, 0b10000 },
+ 'q' => .{ 0b00000, 0b00000, 0b01101, 0b10011, 0b01111, 0b00001, 0b00001 },
+ 'r' => .{ 0b00000, 0b00000, 0b10110, 0b11001, 0b10000, 0b10000, 0b10000 },
+ 't' => .{ 0b01000, 0b01000, 0b11100, 0b01000, 0b01000, 0b01001, 0b00110 },
+ 'w' => .{ 0b00000, 0b00000, 0b10001, 0b10001, 0b10101, 0b10101, 0b01010 },
+ 'y' => .{ 0b00000, 0b10001, 0b10001, 0b01111, 0b00001, 0b00001, 0b01110 },
+
+ 'A' => .{ 0b01110, 0b10001, 0b10001, 0b11111, 0b10001, 0b10001, 0b10001 },
+ 'B' => .{ 0b11110, 0b10001, 0b10001, 0b11110, 0b10001, 0b10001, 0b11110 },
+ 'D' => .{ 0b11110, 0b10001, 0b10001, 0b10001, 0b10001, 0b10001, 0b11110 },
+ 'E' => .{ 0b11111, 0b10000, 0b10000, 0b11110, 0b10000, 0b10000, 0b11111 },
+ 'I' => .{ 0b11111, 0b00100, 0b00100, 0b00100, 0b00100, 0b00100, 0b11111 },
+ 'K' => .{ 0b10001, 0b10010, 0b10100, 0b11000, 0b10100, 0b10010, 0b10001 },
+ 'L' => .{ 0b10000, 0b10000, 0b10000, 0b10000, 0b10000, 0b10000, 0b11111 },
+ 'N' => .{ 0b10001, 0b11001, 0b10101, 0b10011, 0b10001, 0b10001, 0b10001 },
+ 'P' => .{ 0b11110, 0b10001, 0b10001, 0b11110, 0b10000, 0b10000, 0b10000 },
+ 'Q' => .{ 0b01110, 0b10001, 0b10001, 0b10001, 0b10101, 0b10010, 0b01101 },
+ 'R' => .{ 0b11110, 0b10001, 0b10001, 0b11110, 0b10100, 0b10010, 0b10001 },
+ 'S' => .{ 0b01111, 0b10000, 0b10000, 0b01110, 0b00001, 0b00001, 0b11110 },
+ 'T' => .{ 0b11111, 0b00100, 0b00100, 0b00100, 0b00100, 0b00100, 0b00100 },
+ 'Y' => .{ 0b10001, 0b10001, 0b01010, 0b00100, 0b00100, 0b00100, 0b00100 },
+
+ '-' => .{ 0b00000, 0b00000, 0b00000, 0b11111, 0b00000, 0b00000, 0b00000 },
+ '/' => .{ 0b00001, 0b00010, 0b00010, 0b00100, 0b01000, 0b01000, 0b10000 },
+ else => null,
+ };
+}
+
+fn appendGlyph(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ glyph: Glyph,
+ x: f32,
+ y: f32,
+ style: TextStyle,
+) !void {
+ for (glyph, 0..) |row_bits, row| {
+ for (0..5) |col| {
+ const shift: u3 = @intCast(4 - col);
+ if (((row_bits >> shift) & 1) == 0) continue;
+
+ const pixel_width = style.pixel_size * style.pixel_aspect;
+ const x0 = x + (@as(f32, @floatFromInt(col)) * pixel_width);
+ const y0 = y + (@as(f32, @floatFromInt(6 - row)) * style.pixel_size);
+ const x1 = x0 + pixel_width;
+ const y1 = y0 + style.pixel_size;
+
+ try geometry.appendQuad(
+ vertices,
+ allocator,
+ .{ x0, y0 },
+ .{ x1, y0 },
+ .{ x1, y1 },
+ .{ x0, y1 },
+ style.color,
+ );
+ }
+ }
+}
+
+pub fn appendText(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ text: []const u8,
+ x: f32,
+ y: f32,
+ style: TextStyle,
+) !void {
+ var cursor_x = x;
+ const advance = style.pixel_size * style.pixel_aspect * 6.0;
+
+ for (text) |ch| {
+ if (ch == ' ') {
+ cursor_x += advance;
+ continue;
+ }
+
+ if (glyphForChar(ch)) |glyph| {
+ try appendGlyph(vertices, allocator, glyph, cursor_x, y, style);
+ }
+
+ cursor_x += advance;
+ }
+}
+
+fn appendSquareOverlay(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ board_rect: geometry.BoardRect,
+ square: board_input.SquareCoord,
+ color: [4]f32,
+) !void {
+ const file: f32 = @floatFromInt(square.file);
+ const rank: f32 = @floatFromInt(square.rank);
+
+ try geometry.appendQuad(
+ vertices,
+ allocator,
+ geometry.boardToNdc(board_rect, file, rank),
+ geometry.boardToNdc(board_rect, file + 1.0, rank),
+ geometry.boardToNdc(board_rect, file + 1.0, rank + 1.0),
+ geometry.boardToNdc(board_rect, file, rank + 1.0),
+ color,
+ );
+}
+
+pub fn appendSelectedSquareHighlight(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ board_rect: geometry.BoardRect,
+ selected: ?board_input.SquareCoord,
+) !void {
+ const square = selected orelse return;
+ try appendSquareOverlay(vertices, allocator, board_rect, square, .{ 0.45, 0.90, 0.45, 0.38 });
+}
+
+pub fn appendPalettePieceHighlight(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ board_rect: geometry.BoardRect,
+ selected_piece: ?u4,
+) !void {
+ const encoded = selected_piece orelse return;
+ const index = piece_render.paletteIndexForEncoded(encoded) orelse return;
+ const palette_rect = piece_render.paletteRectForBoard(board_rect);
+ const cell_height = palette_rect.height / @as(f32, @floatFromInt(piece_render.palette_entries.len));
+ const y = palette_rect.bottom + (@as(f32, @floatFromInt(piece_render.palette_entries.len - 1 - index)) * cell_height);
+
+ try geometry.appendQuad(
+ vertices,
+ allocator,
+ .{ palette_rect.left, y },
+ .{ palette_rect.left + palette_rect.width, y },
+ .{ palette_rect.left + palette_rect.width, y + cell_height },
+ .{ palette_rect.left, y + cell_height },
+ .{ 0.45, 0.90, 0.45, 0.38 },
+ );
+}
+
+pub fn appendHoveredSquareHighlight(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ board_rect: geometry.BoardRect,
+ hovered: ?board_input.SquareCoord,
+) !void {
+ const square = hovered orelse return;
+ try appendSquareOverlay(vertices, allocator, board_rect, square, .{ 0.68, 1.0, 0.68, 0.28 });
+}
+
+pub fn appendValidMoveDots(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ board_rect: geometry.BoardRect,
+ state: chess_board.BoardState,
+ valid_moves: []const bitboard.Square,
+) !void {
+ const square_w = board_rect.width / 8.0;
+ const square_h = board_rect.height / 8.0;
+ const radius_x = square_w * 0.11;
+ const radius_y = square_h * 0.11;
+ const color = [4]f32{ 0.55, 0.55, 0.55, 0.55 };
+ const segments = 48;
+
+ for (valid_moves) |move_square| {
+ const file: u3 = @intCast(move_square % 8);
+ const rank: u3 = @intCast(move_square / 8);
+ if (state.getSquare(file, rank) != 0) {
+ const x0 = @as(f32, @floatFromInt(file));
+ const x1 = x0 + 1.0;
+ const y0 = @as(f32, @floatFromInt(rank));
+ const y1 = y0 + 1.0;
+ const thickness: f32 = 0.07;
+
+ try geometry.appendQuad(vertices, allocator, geometry.boardToNdc(board_rect, x0, y0), geometry.boardToNdc(board_rect, x1, y0), geometry.boardToNdc(board_rect, x1, y0 + thickness), geometry.boardToNdc(board_rect, x0, y0 + thickness), color);
+ try geometry.appendQuad(vertices, allocator, geometry.boardToNdc(board_rect, x0, y1 - thickness), geometry.boardToNdc(board_rect, x1, y1 - thickness), geometry.boardToNdc(board_rect, x1, y1), geometry.boardToNdc(board_rect, x0, y1), color);
+ try geometry.appendQuad(vertices, allocator, geometry.boardToNdc(board_rect, x0, y0), geometry.boardToNdc(board_rect, x0 + thickness, y0), geometry.boardToNdc(board_rect, x0 + thickness, y1), geometry.boardToNdc(board_rect, x0, y1), color);
+ try geometry.appendQuad(vertices, allocator, geometry.boardToNdc(board_rect, x1 - thickness, y0), geometry.boardToNdc(board_rect, x1, y0), geometry.boardToNdc(board_rect, x1, y1), geometry.boardToNdc(board_rect, x1 - thickness, y1), color);
+ } else {
+ const center = geometry.boardToNdc(
+ board_rect,
+ @as(f32, @floatFromInt(file)) + 0.5,
+ @as(f32, @floatFromInt(rank)) + 0.5,
+ );
+
+ var i: usize = 0;
+ while (i < segments) : (i += 1) {
+ const angle0 = (@as(f32, @floatFromInt(i)) / @as(f32, @floatFromInt(segments))) * std.math.tau;
+ const angle1 = (@as(f32, @floatFromInt(i + 1)) / @as(f32, @floatFromInt(segments))) * std.math.tau;
+ const p0 = [2]f32{ center[0] + (@cos(angle0) * radius_x), center[1] + (@sin(angle0) * radius_y) };
+ const p1 = [2]f32{ center[0] + (@cos(angle1) * radius_x), center[1] + (@sin(angle1) * radius_y) };
+
+ try vertices.append(allocator, .{ .position = center, .color = color, .uv = .{ 0.0, 0.0 } });
+ try vertices.append(allocator, .{ .position = p0, .color = color, .uv = .{ 0.0, 0.0 } });
+ try vertices.append(allocator, .{ .position = p1, .color = color, .uv = .{ 0.0, 0.0 } });
+ }
+ }
+ }
+}
+
+pub fn appendModeMenu(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ edit_mode: bool,
+) !void {
+ const button_w: f32 = 0.16;
+ const button_h: f32 = 0.08;
+ const reset_button_w: f32 = 0.22;
+ const gap: f32 = 0.025;
+ const top: f32 = 0.96;
+ const bottom = top - button_h;
+ const play_left: f32 = -0.95;
+ const edit_left = play_left + button_w + gap;
+ const reset_left = edit_left + button_w + gap;
+ const inactive = [4]f32{ 0.18, 0.18, 0.18, 1.0 };
+ const active = [4]f32{ 0.25, 0.45, 0.25, 1.0 };
+ const reset_color = [4]f32{ 0.25, 0.25, 0.35, 1.0 };
+
+ try geometry.appendQuad(
+ vertices,
+ allocator,
+ .{ play_left, bottom },
+ .{ play_left + button_w, bottom },
+ .{ play_left + button_w, top },
+ .{ play_left, top },
+ if (edit_mode) inactive else active,
+ );
+ try geometry.appendQuad(
+ vertices,
+ allocator,
+ .{ edit_left, bottom },
+ .{ edit_left + button_w, bottom },
+ .{ edit_left + button_w, top },
+ .{ edit_left, top },
+ if (edit_mode) active else inactive,
+ );
+ try geometry.appendQuad(
+ vertices,
+ allocator,
+ .{ reset_left, bottom },
+ .{ reset_left + reset_button_w, bottom },
+ .{ reset_left + reset_button_w, top },
+ .{ reset_left, top },
+ reset_color,
+ );
+
+ const pixel_size: f32 = button_h / 13.0;
+ const y = bottom + (button_h - pixel_size * 7.0) / 2.0;
+ try appendText(vertices, allocator, "PLAY", play_left + 0.018, y, .{ .pixel_size = pixel_size, .color = geometry.White });
+ try appendText(vertices, allocator, "EDIT", edit_left + 0.018, y, .{ .pixel_size = pixel_size, .color = geometry.White });
+ try appendText(vertices, allocator, "RESET", reset_left + 0.018, y, .{ .pixel_size = pixel_size, .color = geometry.White });
+}
+
+pub fn appendBoardCoordinateLabels(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ board_rect: geometry.BoardRect,
+) !void {
+ const square_w = board_rect.width / 8.0;
+ const square_h = board_rect.height / 8.0;
+ const square_size = if (square_w < square_h) square_w else square_h;
+ const pixel_size = square_size / 36.0;
+ const padding = square_size / 24.0;
+ const glyph_w = pixel_size * 5.0;
+ const glyph_h = pixel_size * 7.0;
+
+ const files = "abcdefgh";
+ for (files, 0..) |file_ch, file| {
+ const is_dark = (file % 2) == 0;
+ const color = if (is_dark) geometry.Light else geometry.Dark;
+ const x = board_rect.left + (@as(f32, @floatFromInt(file + 1)) * square_w) - padding - glyph_w;
+ const y = board_rect.bottom + padding;
+
+ try appendText(vertices, allocator, files[file .. file + 1], x, y, .{
+ .pixel_size = pixel_size,
+ .color = color,
+ });
+
+ _ = file_ch;
+ }
+
+ const ranks = "12345678";
+ for (ranks, 0..) |rank_ch, rank| {
+ const is_dark = (rank % 2) == 0;
+ const color = if (is_dark) geometry.Light else geometry.Dark;
+ const x = board_rect.left + padding;
+ const y = board_rect.bottom + (@as(f32, @floatFromInt(rank + 1)) * square_h) - padding - glyph_h;
+
+ try appendText(vertices, allocator, ranks[rank .. rank + 1], x, y, .{
+ .pixel_size = pixel_size,
+ .color = color,
+ });
+
+ _ = rank_ch;
+ }
+}
+
+pub fn appendFenText(
+ vertices: *std.ArrayList(geometry.Vertex),
+ allocator: std.mem.Allocator,
+ board_rect: geometry.BoardRect,
+ fen_text: []const u8,
+) !void {
+ const max_text_width = board_rect.width;
+ const pixel_aspect = board_rect.width / board_rect.height;
+ const natural_pixel_size = board_rect.height / 95.0;
+ const fit_pixel_size = max_text_width / (@as(f32, @floatFromInt(fen_text.len)) * 6.0 * pixel_aspect);
+ const pixel_size = if (fit_pixel_size < natural_pixel_size) fit_pixel_size else natural_pixel_size;
+ const gap = board_rect.height / 18.0;
+ const y = board_rect.bottom - gap - (pixel_size * 7.0);
+
+ try appendText(vertices, allocator, fen_text, board_rect.left, y, .{
+ .pixel_size = pixel_size,
+ .pixel_aspect = pixel_aspect,
+ .color = geometry.White,
+ });
+}
+
+test "appendText appends vertices for supported glyph pixels" {
+ var vertices: std.ArrayList(geometry.Vertex) = .empty;
+ defer vertices.deinit(std.testing.allocator);
+
+ try appendText(&vertices, std.testing.allocator, "1", 0.0, 0.0, .{
+ .pixel_size = 0.01,
+ .color = geometry.White,
+ });
+
+ try std.testing.expect(vertices.items.len > 0);
+ try std.testing.expectEqual(@as(usize, 0), vertices.items.len % 6);
+}
+
+test "appendSelectedSquareHighlight appends one quad when selected" {
+ var vertices: std.ArrayList(geometry.Vertex) = .empty;
+ defer vertices.deinit(std.testing.allocator);
+
+ try appendSelectedSquareHighlight(
+ &vertices,
+ std.testing.allocator,
+ geometry.boardRectForExtent(800, 600),
+ .{ .file = 4, .rank = 1 },
+ );
+
+ try std.testing.expectEqual(@as(usize, 6), vertices.items.len);
+}
+
+test "appendSelectedSquareHighlight appends nothing without selection" {
+ var vertices: std.ArrayList(geometry.Vertex) = .empty;
+ defer vertices.deinit(std.testing.allocator);
+
+ try appendSelectedSquareHighlight(
+ &vertices,
+ std.testing.allocator,
+ geometry.boardRectForExtent(800, 600),
+ null,
+ );
+
+ try std.testing.expectEqual(@as(usize, 0), vertices.items.len);
+}
+
+test "appendHoveredSquareHighlight appends one quad when hovered" {
+ var vertices: std.ArrayList(geometry.Vertex) = .empty;
+ defer vertices.deinit(std.testing.allocator);
+
+ try appendHoveredSquareHighlight(
+ &vertices,
+ std.testing.allocator,
+ geometry.boardRectForExtent(800, 600),
+ .{ .file = 2, .rank = 2 },
+ );
+
+ try std.testing.expectEqual(@as(usize, 6), vertices.items.len);
+}
+
+test "appendValidMoveDots appends one circular triangle fan per move" {
+ var vertices: std.ArrayList(geometry.Vertex) = .empty;
+ defer vertices.deinit(std.testing.allocator);
+
+ const state = chess_board.BoardState.empty();
+ const moves = [_]bitboard.Square{ 20, 28 };
+
+ try appendValidMoveDots(
+ &vertices,
+ std.testing.allocator,
+ geometry.boardRectForExtent(800, 600),
+ state,
+ &moves,
+ );
+
+ try std.testing.expectEqual(@as(usize, 2 * 48 * 3), vertices.items.len);
+}
diff --git a/src/vulkan/buffer.zig b/src/vulkan/buffer.zig
index bd78cfb..8402ffc 100644
--- a/src/vulkan/buffer.zig
+++ b/src/vulkan/buffer.zig
@@ -15,6 +15,15 @@ pub const VertexBufferContext = struct {
ldc.vkd.freeMemory(ldc.device, self.memory, null);
}
};
+pub const BufferContext = struct {
+ buffer: vk.Buffer,
+ memory: vk.DeviceMemory,
+
+ pub fn destroy(self: *const BufferContext, ldc: *const device.LogicalDeviceContext) void {
+ ldc.vkd.destroyBuffer(ldc.device, self.buffer, null);
+ ldc.vkd.freeMemory(ldc.device, self.memory, null);
+ }
+};
pub fn initVertexBuffer(
vc: context.VulkanContext,
@@ -22,50 +31,24 @@ pub fn initVertexBuffer(
vertices: []const geometry.Vertex,
) !VertexBufferContext {
const buffer_size: vk.DeviceSize = @intCast(@sizeOf(geometry.Vertex) * vertices.len);
-
- const buffer_create_info = vk.BufferCreateInfo{
- .size = buffer_size,
- .usage = .{
- .vertex_buffer_bit = true,
- },
- .sharing_mode = .exclusive,
+ const usage: vk.BufferUsageFlags = .{
+ .vertex_buffer_bit = true,
+ };
+ const memory_properties: vk.MemoryPropertyFlags = .{
+ .host_visible_bit = true,
+ .host_coherent_bit = true,
};
- const buffer = try ldc.vkd.createBuffer(ldc.device, &buffer_create_info, null);
- errdefer ldc.vkd.destroyBuffer(ldc.device, buffer, null);
-
- const memory_requirements = ldc.vkd.getBufferMemoryRequirements(
- ldc.device,
- buffer,
- );
- const memory_index = try findMemoryType(
- vc,
- ldc,
- memory_requirements.memory_type_bits,
- .{
- .host_visible_bit = true,
- .host_coherent_bit = true,
- },
- );
-
- const alloc_info = vk.MemoryAllocateInfo{
- .allocation_size = memory_requirements.size,
- .memory_type_index = memory_index,
- };
-
- const memory = try ldc.vkd.allocateMemory(ldc.device, &alloc_info, null);
- errdefer ldc.vkd.freeMemory(ldc.device, memory, null);
-
- try ldc.vkd.bindBufferMemory(ldc.device, buffer, memory, 0);
+ const buffer_context = try createBuffer(vc, ldc, buffer_size, usage, memory_properties);
const mapped = try ldc.vkd.mapMemory(
ldc.device,
- memory,
+ buffer_context.memory,
0,
buffer_size,
.{},
);
- defer ldc.vkd.unmapMemory(ldc.device, memory);
+ defer ldc.vkd.unmapMemory(ldc.device, buffer_context.memory);
const dst: [*]u8 = @ptrCast(mapped);
const dst_slice = dst[0..buffer_size];
@@ -74,13 +57,13 @@ pub fn initVertexBuffer(
std.mem.copyForwards(u8, dst_slice, src_bytes);
return .{
- .buffer = buffer,
- .memory = memory,
+ .buffer = buffer_context.buffer,
+ .memory = buffer_context.memory,
.vertex_count = @intCast(vertices.len),
};
}
-fn findMemoryType(
+pub fn findMemoryType(
vc: context.VulkanContext,
ldc: device.LogicalDeviceContext,
type_filter: u32,
@@ -107,3 +90,83 @@ fn findMemoryType(
return error.NoSuitableMemoryType;
}
+
+pub fn createBuffer(
+ vc: context.VulkanContext,
+ ldc: device.LogicalDeviceContext,
+ size: vk.DeviceSize,
+ usage: vk.BufferUsageFlags,
+ properties: vk.MemoryPropertyFlags,
+) !BufferContext {
+ const buffer_create_info = vk.BufferCreateInfo{
+ .size = size,
+ .usage = usage,
+ .sharing_mode = .exclusive,
+ };
+
+ const buffer = try ldc.vkd.createBuffer(ldc.device, &buffer_create_info, null);
+ errdefer ldc.vkd.destroyBuffer(ldc.device, buffer, null);
+
+ const memory_requirements = ldc.vkd.getBufferMemoryRequirements(
+ ldc.device,
+ buffer,
+ );
+ const memory_index = try findMemoryType(
+ vc,
+ ldc,
+ memory_requirements.memory_type_bits,
+ properties,
+ );
+
+ const alloc_info = vk.MemoryAllocateInfo{
+ .allocation_size = memory_requirements.size,
+ .memory_type_index = memory_index,
+ };
+
+ const memory = try ldc.vkd.allocateMemory(ldc.device, &alloc_info, null);
+ errdefer ldc.vkd.freeMemory(ldc.device, memory, null);
+
+ try ldc.vkd.bindBufferMemory(ldc.device, buffer, memory, 0);
+
+ return .{
+ .buffer = buffer,
+ .memory = memory,
+ };
+}
+
+pub fn initStagingBuffer(
+ vc: context.VulkanContext,
+ ldc: device.LogicalDeviceContext,
+ bytes: []const u8,
+) !BufferContext {
+ const buffer_size: vk.DeviceSize = @intCast(bytes.len);
+
+ const buffer_context = try createBuffer(
+ vc,
+ ldc,
+ buffer_size,
+ .{
+ .transfer_src_bit = true,
+ },
+ .{
+ .host_visible_bit = true,
+ .host_coherent_bit = true,
+ },
+ );
+
+ const mapped = try ldc.vkd.mapMemory(
+ ldc.device,
+ buffer_context.memory,
+ 0,
+ buffer_size,
+ .{},
+ );
+ defer ldc.vkd.unmapMemory(ldc.device, buffer_context.memory);
+
+ const dst: [*]u8 = @ptrCast(mapped);
+ const dst_slice = dst[0..buffer_size];
+
+ std.mem.copyForwards(u8, dst_slice, bytes);
+
+ return buffer_context;
+}
diff --git a/src/vulkan/commands.zig b/src/vulkan/commands.zig
index ad2778d..888d3aa 100644
--- a/src/vulkan/commands.zig
+++ b/src/vulkan/commands.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const vk = @import("vulkan");
const device = @import("device.zig");
@@ -7,6 +8,8 @@ const render_pass = @import("render_pass.zig");
const swapchain = @import("swapchain.zig");
const pipeline = @import("pipeline.zig");
const buffer = @import("buffer.zig");
+const descriptors = @import("descriptors.zig");
+const piece_render = @import("../piece_render.zig");
pub const CommandContext = struct {
command_pool: vk.CommandPool,
@@ -19,13 +22,8 @@ pub const CommandContext = struct {
}
};
-pub fn initCommandBuffers(
+pub fn initCommandPoolOnly(
ldc: device.LogicalDeviceContext,
- render_pass_context: render_pass.RenderPassContext,
- framebuffer_context: framebuffers.FramebufferContext,
- pipeline_context: pipeline.PipelineContext,
- swapchain_context: swapchain.SwapchainContext,
- vertex_buffer_context: buffer.VertexBufferContext,
allocator: std.mem.Allocator,
) !CommandContext {
const command_pool_create_info = vk.CommandPoolCreateInfo{
@@ -41,32 +39,56 @@ pub fn initCommandBuffers(
null,
);
errdefer ldc.vkd.destroyCommandPool(ldc.device, command_pool, null);
- std.debug.print("created command pool\n", .{});
- const command_buffers = try allocator.alloc(vk.CommandBuffer, framebuffer_context.framebuffers.len);
+ const command_buffers = try allocator.alloc(vk.CommandBuffer, 0);
errdefer allocator.free(command_buffers);
- const command_buffer_allocate_info = vk.CommandBufferAllocateInfo{
+ return .{
.command_pool = command_pool,
+ .command_buffers = command_buffers,
+ .allocator = allocator,
+ };
+}
+
+pub fn initCommandBuffers(
+ ldc: device.LogicalDeviceContext,
+ render_pass_context: render_pass.RenderPassContext,
+ framebuffer_context: framebuffers.FramebufferContext,
+ board_pipeline_context: pipeline.PipelineContext,
+ piece_pipeline_context: pipeline.PipelineContext,
+ descriptor_contexts: [piece_render.PieceGroupCount]?descriptors.DescriptorContext,
+ swapchain_context: swapchain.SwapchainContext,
+ board_vertex_buffer_context: buffer.VertexBufferContext,
+ piece_vertex_buffers: [piece_render.PieceGroupCount]?buffer.VertexBufferContext,
+ allocator: std.mem.Allocator,
+) !CommandContext {
+ var command_context = try initCommandPoolOnly(ldc, allocator);
+ errdefer command_context.destroy(&ldc);
+ log.debug("created command pool", .{});
+
+ allocator.free(command_context.command_buffers);
+ command_context.command_buffers = try allocator.alloc(vk.CommandBuffer, framebuffer_context.framebuffers.len);
+ errdefer allocator.free(command_context.command_buffers);
+
+ const command_buffer_allocate_info = vk.CommandBufferAllocateInfo{
+ .command_pool = command_context.command_pool,
.level = .primary,
- .command_buffer_count = @intCast(command_buffers.len),
+ .command_buffer_count = @intCast(command_context.command_buffers.len),
};
try ldc.vkd.allocateCommandBuffers(
ldc.device,
&command_buffer_allocate_info,
- command_buffers.ptr,
+ command_context.command_buffers.ptr,
);
- std.debug.print("allocated command buffers: {}\n", .{command_buffers.len});
+ log.debug("allocated command buffers: {}", .{command_context.command_buffers.len});
- for (command_buffers, 0..) |command_buffer, i| {
+ for (command_context.command_buffers, 0..) |command_buffer, i| {
const begin_info = vk.CommandBufferBeginInfo{};
try ldc.vkd.beginCommandBuffer(command_buffer, &begin_info);
- // This is the only "drawing" currently happening: begin a render pass
- // and clear the swapchain image. The embedded shaders are not used yet.
const clear_color = vk.ClearValue{
.color = .{
.float_32 = .{ 0.02, 0.02, 0.08, 1.0 },
@@ -93,36 +115,107 @@ pub fn initCommandBuffers(
ldc.vkd.cmdBindPipeline(
command_buffer,
.graphics,
- pipeline_context.graphics_pipeline,
+ board_pipeline_context.graphics_pipeline,
);
- const vertex_buffers = [_]vk.Buffer{
- vertex_buffer_context.buffer,
- };
-
- const offsets = [_]vk.DeviceSize{
- 0,
- };
+ const board_vertex_buffers = [_]vk.Buffer{board_vertex_buffer_context.buffer};
+ const board_offsets = [_]vk.DeviceSize{0};
ldc.vkd.cmdBindVertexBuffers(
command_buffer,
0,
- &vertex_buffers,
- &offsets,
+ &board_vertex_buffers,
+ &board_offsets,
);
- ldc.vkd.cmdDraw(command_buffer, vertex_buffer_context.vertex_count, 1, 0, 0);
+ ldc.vkd.cmdDraw(command_buffer, board_vertex_buffer_context.vertex_count, 1, 0, 0);
+
+ ldc.vkd.cmdBindPipeline(
+ command_buffer,
+ .graphics,
+ piece_pipeline_context.graphics_pipeline,
+ );
+
+ for (piece_vertex_buffers, descriptor_contexts) |maybe_piece_buffer, maybe_descriptor_context| {
+ const piece_buffer = maybe_piece_buffer orelse continue;
+ const piece_descriptor_context = maybe_descriptor_context orelse continue;
+
+ const descriptor_sets = [_]vk.DescriptorSet{piece_descriptor_context.descriptor_set};
+ ldc.vkd.cmdBindDescriptorSets(
+ command_buffer,
+ .graphics,
+ piece_pipeline_context.pipeline_layout,
+ 0,
+ &descriptor_sets,
+ null,
+ );
+
+ const piece_buffers = [_]vk.Buffer{piece_buffer.buffer};
+ const piece_offsets = [_]vk.DeviceSize{0};
+
+ ldc.vkd.cmdBindVertexBuffers(
+ command_buffer,
+ 0,
+ &piece_buffers,
+ &piece_offsets,
+ );
+
+ ldc.vkd.cmdDraw(command_buffer, piece_buffer.vertex_count, 1, 0, 0);
+ }
ldc.vkd.cmdEndRenderPass(command_buffer);
try ldc.vkd.endCommandBuffer(command_buffer);
}
- std.debug.print("recorded command buffers\n", .{});
+ log.debug("recorded command buffers", .{});
- return .{
- .command_pool = command_pool,
- .command_buffers = command_buffers,
- .allocator = allocator,
- };
+ return command_context;
+}
+
+pub fn beginSingleTimeCommands(
+ ldc: device.LogicalDeviceContext,
+ command_context: CommandContext,
+) !vk.CommandBuffer {
+ const command_buffer_allocate_info = vk.CommandBufferAllocateInfo{
+ .command_pool = command_context.command_pool,
+ .level = .primary,
+ .command_buffer_count = 1,
+ };
+
+ var command_buffer: vk.CommandBuffer = undefined;
+ try ldc.vkd.allocateCommandBuffers(
+ ldc.device,
+ &command_buffer_allocate_info,
+ @ptrCast(&command_buffer),
+ );
+
+ const begin_info = vk.CommandBufferBeginInfo{
+ .flags = .{
+ .one_time_submit_bit = true,
+ },
+ };
+
+ try ldc.vkd.beginCommandBuffer(command_buffer, &begin_info);
+
+ return command_buffer;
+}
+
+pub fn endSingleTimeCommands(
+ ldc: device.LogicalDeviceContext,
+ command_context: CommandContext,
+ command_buffer: vk.CommandBuffer,
+) !void {
+ try ldc.vkd.endCommandBuffer(command_buffer);
+
+ const command_buffers = [_]vk.CommandBuffer{command_buffer};
+
+ const submit_info = vk.SubmitInfo{
+ .command_buffer_count = command_buffers.len,
+ .p_command_buffers = &command_buffers,
+ };
+
+ try ldc.vkd.queueSubmit(ldc.graphics_queue, &[_]vk.SubmitInfo{submit_info}, .null_handle);
+ try ldc.vkd.queueWaitIdle(ldc.graphics_queue);
+ ldc.vkd.freeCommandBuffers(ldc.device, command_context.command_pool, &command_buffers);
}
diff --git a/src/vulkan/context.zig b/src/vulkan/context.zig
index 1d44d48..4112fdf 100644
--- a/src/vulkan/context.zig
+++ b/src/vulkan/context.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const glfw = @import("zglfw");
const vk = @import("vulkan");
@@ -16,9 +17,9 @@ pub fn initInstance(name: [:0]const u8) !VulkanContext {
const base = vk.BaseWrapper.load(glfw.getInstanceProcAddress);
const required_extensions = try glfw.getRequiredInstanceExtensions();
- std.debug.print("Required instance extensions:\n", .{});
+ log.debug("Required instance extensions:", .{});
for (required_extensions) |extension| {
- std.debug.print(" {s}\n", .{extension});
+ log.debug(" {s}", .{extension});
}
const app_info = vk.ApplicationInfo{
.p_application_name = name,
@@ -35,7 +36,7 @@ pub fn initInstance(name: [:0]const u8) !VulkanContext {
};
const instance = try base.createInstance(&instance_create_info, null);
- std.debug.print("Created Vulkan Instance\n", .{});
+ log.debug("Created Vulkan Instance", .{});
const vki = vk.InstanceWrapper.load(instance, base.dispatch.vkGetInstanceProcAddr.?);
diff --git a/src/vulkan/descriptors.zig b/src/vulkan/descriptors.zig
new file mode 100644
index 0000000..3157e6c
--- /dev/null
+++ b/src/vulkan/descriptors.zig
@@ -0,0 +1,91 @@
+const vk = @import("vulkan");
+
+const device = @import("device.zig");
+const pipeline = @import("pipeline.zig");
+const texture = @import("texture.zig");
+
+pub const DescriptorContext = struct {
+ descriptor_pool: vk.DescriptorPool,
+ descriptor_set: vk.DescriptorSet,
+
+ pub fn destroy(self: *const DescriptorContext, ldc: *const device.LogicalDeviceContext) void {
+ ldc.vkd.destroyDescriptorPool(ldc.device, self.descriptor_pool, null);
+ }
+};
+
+pub fn initTextureDescriptor(
+ ldc: device.LogicalDeviceContext,
+ pipeline_context: pipeline.PipelineContext,
+ texture_context: texture.TextureContext,
+) !DescriptorContext {
+ const pool_size = vk.DescriptorPoolSize{
+ .type = .combined_image_sampler,
+ .descriptor_count = 1,
+ };
+
+ const pool_sizes = [_]vk.DescriptorPoolSize{pool_size};
+
+ const pool_info = vk.DescriptorPoolCreateInfo{
+ .max_sets = 1,
+ .pool_size_count = pool_sizes.len,
+ .p_pool_sizes = &pool_sizes,
+ };
+
+ const descriptor_pool = try ldc.vkd.createDescriptorPool(
+ ldc.device,
+ &pool_info,
+ null,
+ );
+ errdefer ldc.vkd.destroyDescriptorPool(ldc.device, descriptor_pool, null);
+
+ const set_layouts = [_]vk.DescriptorSetLayout{
+ pipeline_context.descriptor_set_layout,
+ };
+
+ const alloc_info = vk.DescriptorSetAllocateInfo{
+ .descriptor_pool = descriptor_pool,
+ .descriptor_set_count = set_layouts.len,
+ .p_set_layouts = &set_layouts,
+ };
+
+ var descriptor_sets: [1]vk.DescriptorSet = undefined;
+ try ldc.vkd.allocateDescriptorSets(
+ ldc.device,
+ &alloc_info,
+ &descriptor_sets,
+ );
+
+ const descriptor_set = descriptor_sets[0];
+
+ const image_info = vk.DescriptorImageInfo{
+ .image_layout = .shader_read_only_optimal,
+ .image_view = texture_context.image_view,
+ .sampler = texture_context.sampler,
+ };
+
+ const image_infos = [_]vk.DescriptorImageInfo{image_info};
+
+ const descriptor_write = vk.WriteDescriptorSet{
+ .dst_set = descriptor_set,
+ .dst_binding = 0,
+ .dst_array_element = 0,
+ .descriptor_count = 1,
+ .descriptor_type = .combined_image_sampler,
+ .p_image_info = &image_infos,
+ .p_buffer_info = undefined,
+ .p_texel_buffer_view = undefined,
+ };
+
+ const descriptor_writes = [_]vk.WriteDescriptorSet{descriptor_write};
+
+ ldc.vkd.updateDescriptorSets(
+ ldc.device,
+ &descriptor_writes,
+ null,
+ );
+
+ return .{
+ .descriptor_pool = descriptor_pool,
+ .descriptor_set = descriptor_set,
+ };
+}
diff --git a/src/vulkan/device.zig b/src/vulkan/device.zig
index d7cdb7b..d2ba9d5 100644
--- a/src/vulkan/device.zig
+++ b/src/vulkan/device.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const vk = @import("vulkan");
const context = @import("context.zig");
@@ -41,11 +42,11 @@ pub fn initLogicalDevice(
const device = try vc.vki.createDevice(physical_device, &device_create_info, null);
errdefer vc.vki.destroyDevice(device, null);
- std.debug.print("created logical device\n", .{});
+ log.debug("created logical device", .{});
const vkd = vk.DeviceWrapper.load(device, vc.vki.dispatch.vkGetDeviceProcAddr.?);
const graphics_queue = vkd.getDeviceQueue(device, graphics_queue_family_index, 0);
- std.debug.print("retrieved graphics queue\n", .{});
+ log.debug("retrieved graphics queue", .{});
return .{
.physical_device = physical_device,
@@ -61,11 +62,11 @@ pub fn debugPhysicalGPUs(
physical_devices: []vk.PhysicalDevice,
surface: vk.SurfaceKHR,
) !void {
- std.debug.print("physical devices: {}\n", .{physical_devices.len});
+ log.debug("physical devices: {}", .{physical_devices.len});
for (physical_devices, 0..) |physical_device, i| {
const props = vc.vki.getPhysicalDeviceProperties(physical_device);
- std.debug.print("device {}: {s}\n", .{ i, std.mem.sliceTo(&props.device_name, 0) });
+ log.debug("device {}: {s}", .{ i, std.mem.sliceTo(&props.device_name, 0) });
const queue_families = try vc.vki.getPhysicalDeviceQueueFamilyPropertiesAlloc(
physical_device,
std.heap.page_allocator,
@@ -83,8 +84,8 @@ pub fn debugPhysicalGPUs(
surface,
);
- std.debug.print(
- " queue {}: count={}, graphics={}, compute={}, transfer={}, present={}\n",
+ log.debug(
+ " queue {}: count={}, graphics={}, compute={}, transfer={}, present={}",
.{
queue_index,
queue_family.queue_count,
diff --git a/src/vulkan/frame.zig b/src/vulkan/frame.zig
index a2122d9..44d08e5 100644
--- a/src/vulkan/frame.zig
+++ b/src/vulkan/frame.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const vk = @import("vulkan");
const commands = @import("commands.zig");
@@ -33,7 +34,7 @@ pub fn drawFrame(
const image_index = image_result.image_index;
const should_recreate_after_present = image_result.result == .suboptimal_khr;
- std.debug.print("Acquired swapchain image: {}\n", .{image_index});
+ log.debug("Acquired swapchain image: {}", .{image_index});
try ldc.vkd.resetFences(ldc.device, &wait_fences);
@@ -76,7 +77,7 @@ pub fn drawFrame(
error.OutOfDateKHR => return .Recreate,
else => return err,
};
- std.debug.print("Presented one frame\n", .{});
+ log.debug("Presented one frame", .{});
if (should_recreate_after_present or present_result == .suboptimal_khr) {
return FrameResult.Recreate;
diff --git a/src/vulkan/framebuffers.zig b/src/vulkan/framebuffers.zig
index 97774b3..c4cd7a8 100644
--- a/src/vulkan/framebuffers.zig
+++ b/src/vulkan/framebuffers.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const vk = @import("vulkan");
const device = @import("device.zig");
@@ -53,7 +54,7 @@ pub fn initFramebuffers(
created_framebuffer_count += 1;
}
- std.debug.print("created framebuffers: {}\n", .{framebuffers.len});
+ log.debug("created framebuffers: {}", .{framebuffers.len});
return .{
.framebuffers = framebuffers,
diff --git a/src/vulkan/pipeline.zig b/src/vulkan/pipeline.zig
index e2b4c23..072779b 100644
--- a/src/vulkan/pipeline.zig
+++ b/src/vulkan/pipeline.zig
@@ -7,10 +7,14 @@ const geometry = @import("../geometry.zig");
pub const PipelineContext = struct {
graphics_pipeline: vk.Pipeline,
pipeline_layout: vk.PipelineLayout,
+ descriptor_set_layout: vk.DescriptorSetLayout = .null_handle,
pub fn destroy(self: *const PipelineContext, ldc: *const device.LogicalDeviceContext) void {
ldc.vkd.destroyPipeline(ldc.device, self.graphics_pipeline, null);
ldc.vkd.destroyPipelineLayout(ldc.device, self.pipeline_layout, null);
+ if (self.descriptor_set_layout != .null_handle) {
+ ldc.vkd.destroyDescriptorSetLayout(ldc.device, self.descriptor_set_layout, null);
+ }
}
};
@@ -31,8 +35,112 @@ pub fn createShaderModule(ldc: device.LogicalDeviceContext, allocator: std.mem.A
return try ldc.vkd.createShaderModule(ldc.device, &create_info, null);
}
-pub fn initPipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D, render_pass: vk.RenderPass, vert_spv: []const u8, frag_spv: []const u8, allocator: std.mem.Allocator) !PipelineContext {
- const pipeline_layout_create_info = vk.PipelineLayoutCreateInfo{};
+pub fn initBoardPipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D, render_pass: vk.RenderPass, vert_spv: []const u8, frag_spv: []const u8, allocator: std.mem.Allocator) !PipelineContext {
+ const attribute_descriptions = [_]vk.VertexInputAttributeDescription{
+ .{
+ .location = 0,
+ .binding = 0,
+ .format = .r32g32_sfloat,
+ .offset = @offsetOf(geometry.Vertex, "position"),
+ },
+ .{
+ .location = 1,
+ .binding = 0,
+ .format = .r32g32b32a32_sfloat,
+ .offset = @offsetOf(geometry.Vertex, "color"),
+ },
+ };
+
+ return try initPipelineContext(
+ ldc,
+ extent,
+ render_pass,
+ vert_spv,
+ frag_spv,
+ allocator,
+ null,
+ &attribute_descriptions,
+ );
+}
+
+pub fn initPiecePipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D, render_pass: vk.RenderPass, vert_spv: []const u8, frag_spv: []const u8, allocator: std.mem.Allocator) !PipelineContext {
+ const sampler_layout_binding = vk.DescriptorSetLayoutBinding{
+ .binding = 0,
+ .descriptor_type = .combined_image_sampler,
+ .descriptor_count = 1,
+ .stage_flags = .{
+ .fragment_bit = true,
+ },
+ .p_immutable_samplers = null,
+ };
+
+ const descriptor_set_layout_bindings = [_]vk.DescriptorSetLayoutBinding{
+ sampler_layout_binding,
+ };
+
+ const descriptor_set_layout_create_info = vk.DescriptorSetLayoutCreateInfo{
+ .binding_count = descriptor_set_layout_bindings.len,
+ .p_bindings = &descriptor_set_layout_bindings,
+ };
+
+ const descriptor_set_layout = try ldc.vkd.createDescriptorSetLayout(
+ ldc.device,
+ &descriptor_set_layout_create_info,
+ null,
+ );
+ errdefer ldc.vkd.destroyDescriptorSetLayout(ldc.device, descriptor_set_layout, null);
+
+ const descriptor_set_layouts = [_]vk.DescriptorSetLayout{
+ descriptor_set_layout,
+ };
+
+ const attribute_descriptions = [_]vk.VertexInputAttributeDescription{
+ .{
+ .location = 0,
+ .binding = 0,
+ .format = .r32g32_sfloat,
+ .offset = @offsetOf(geometry.Vertex, "position"),
+ },
+ .{
+ .location = 1,
+ .binding = 0,
+ .format = .r32g32b32a32_sfloat,
+ .offset = @offsetOf(geometry.Vertex, "color"),
+ },
+ .{
+ .location = 2,
+ .binding = 0,
+ .format = .r32g32_sfloat,
+ .offset = @offsetOf(geometry.Vertex, "uv"),
+ },
+ };
+
+ return try initPipelineContext(
+ ldc,
+ extent,
+ render_pass,
+ vert_spv,
+ frag_spv,
+ allocator,
+ &descriptor_set_layouts,
+ &attribute_descriptions,
+ );
+}
+
+fn initPipelineContext(
+ ldc: device.LogicalDeviceContext,
+ extent: vk.Extent2D,
+ render_pass: vk.RenderPass,
+ vert_spv: []const u8,
+ frag_spv: []const u8,
+ allocator: std.mem.Allocator,
+ descriptor_set_layouts: ?[]const vk.DescriptorSetLayout,
+ attribute_descriptions: []const vk.VertexInputAttributeDescription,
+) !PipelineContext {
+ const pipeline_layout_create_info = vk.PipelineLayoutCreateInfo{
+ .set_layout_count = if (descriptor_set_layouts) |layouts| @intCast(layouts.len) else 0,
+ .p_set_layouts = if (descriptor_set_layouts) |layouts| layouts.ptr else null,
+ };
const pipeline_layout = try ldc.vkd.createPipelineLayout(
ldc.device,
@@ -70,18 +178,11 @@ pub fn initPipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D
.input_rate = .vertex,
};
- const attribute_description = vk.VertexInputAttributeDescription{
- .location = 0,
- .binding = 0,
- .format = .r32g32_sfloat,
- .offset = @offsetOf(geometry.Vertex, "position"),
- };
-
const vertex_input_info = vk.PipelineVertexInputStateCreateInfo{
.vertex_binding_description_count = 1,
.p_vertex_binding_descriptions = @ptrCast(&binding_description),
- .vertex_attribute_description_count = 1,
- .p_vertex_attribute_descriptions = @ptrCast(&attribute_description),
+ .vertex_attribute_description_count = @intCast(attribute_descriptions.len),
+ .p_vertex_attribute_descriptions = attribute_descriptions.ptr,
};
const input_assembly = vk.PipelineInputAssemblyStateCreateInfo{
@@ -91,9 +192,9 @@ pub fn initPipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D
const viewport = vk.Viewport{
.x = 0.0,
- .y = 0.0,
+ .y = @floatFromInt(extent.height),
.width = @floatFromInt(extent.width),
- .height = @floatFromInt(extent.height),
+ .height = -@as(f32, @floatFromInt(extent.height)),
.min_depth = 0.0,
.max_depth = 1.0,
};
@@ -115,9 +216,7 @@ pub fn initPipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D
.rasterizer_discard_enable = .false,
.polygon_mode = .fill,
.line_width = 1.0,
- .cull_mode = .{
- .back_bit = true,
- },
+ .cull_mode = .{},
.front_face = .clockwise,
.depth_bias_enable = .false,
.depth_bias_constant_factor = 0.0,
@@ -141,9 +240,9 @@ pub fn initPipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D
.b_bit = true,
.a_bit = true,
},
- .blend_enable = .false,
- .src_color_blend_factor = .one,
- .dst_color_blend_factor = .zero,
+ .blend_enable = .true,
+ .src_color_blend_factor = .src_alpha,
+ .dst_color_blend_factor = .one_minus_src_alpha,
.color_blend_op = .add,
.src_alpha_blend_factor = .one,
.dst_alpha_blend_factor = .zero,
@@ -176,10 +275,7 @@ pub fn initPipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D
.base_pipeline_index = -1,
};
- const pipeline_infos = [_]vk.GraphicsPipelineCreateInfo{
- pipeline_info,
- };
-
+ const pipeline_infos = [_]vk.GraphicsPipelineCreateInfo{pipeline_info};
var pipelines: [1]vk.Pipeline = undefined;
_ = try ldc.vkd.createGraphicsPipelines(
@@ -193,5 +289,6 @@ pub fn initPipelineContext(ldc: device.LogicalDeviceContext, extent: vk.Extent2D
return .{
.graphics_pipeline = pipelines[0],
.pipeline_layout = pipeline_layout,
+ .descriptor_set_layout = if (descriptor_set_layouts) |layouts| layouts[0] else .null_handle,
};
}
diff --git a/src/vulkan/render_pass.zig b/src/vulkan/render_pass.zig
index 6a31520..65e2c27 100644
--- a/src/vulkan/render_pass.zig
+++ b/src/vulkan/render_pass.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const vk = @import("vulkan");
const device = @import("device.zig");
@@ -59,7 +60,7 @@ pub fn initRenderPass(ldc: device.LogicalDeviceContext, format: vk.Format) !Rend
};
const render_pass = try ldc.vkd.createRenderPass(ldc.device, &render_pass_create_info, null);
- std.debug.print("created render pass\n", .{});
+ log.debug("created render pass", .{});
return .{ .render_pass = render_pass };
}
diff --git a/src/vulkan/swapchain.zig b/src/vulkan/swapchain.zig
index c69b5a6..19fabc9 100644
--- a/src/vulkan/swapchain.zig
+++ b/src/vulkan/swapchain.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const glfw = @import("zglfw");
const vk = @import("vulkan");
@@ -30,6 +31,7 @@ pub fn initSwapchain(
ldc: device.LogicalDeviceContext,
surface: vk.SurfaceKHR,
window: *glfw.Window,
+ old_swapchain: vk.SwapchainKHR,
allocator: std.mem.Allocator,
) !SwapchainContext {
const surface_caps = try vc.vki.getPhysicalDeviceSurfaceCapabilitiesKHR(
@@ -37,16 +39,16 @@ pub fn initSwapchain(
surface,
);
- std.debug.print(
- "surface current extent: {}x{}\n",
+ log.debug(
+ "surface current extent: {}x{}",
.{
surface_caps.current_extent.width,
surface_caps.current_extent.height,
},
);
- std.debug.print(
- "surface min/max image count: {}/{}\n",
+ log.debug(
+ "surface min/max image count: {}/{}",
.{
surface_caps.min_image_count,
surface_caps.max_image_count,
@@ -100,16 +102,16 @@ pub fn initSwapchain(
chosen_image_count = surface_caps.max_image_count;
}
- std.debug.print(
- "chosen swapchain format={any}, color_space={any}\n",
+ log.debug(
+ "chosen swapchain format={any}, color_space={any}",
.{ chosen_surface_format.format, chosen_surface_format.color_space },
);
- std.debug.print("chosen present mode={any}\n", .{chosen_present_mode});
- std.debug.print(
- "chosen extent={}x{}\n",
+ log.debug("chosen present mode={any}", .{chosen_present_mode});
+ log.debug(
+ "chosen extent={}x{}",
.{ chosen_extent.width, chosen_extent.height },
);
- std.debug.print("chosen image count={}\n", .{chosen_image_count});
+ log.debug("chosen image count={}", .{chosen_image_count});
const swapchain_create_info = vk.SwapchainCreateInfoKHR{
.surface = surface,
@@ -128,11 +130,12 @@ pub fn initSwapchain(
},
.present_mode = chosen_present_mode,
.clipped = .true,
+ .old_swapchain = old_swapchain,
};
const swapchain = try ldc.vkd.createSwapchainKHR(ldc.device, &swapchain_create_info, null);
errdefer ldc.vkd.destroySwapchainKHR(ldc.device, swapchain, null);
- std.debug.print("created swapchain\n", .{});
+ log.debug("created swapchain", .{});
const swapchain_images = try ldc.vkd.getSwapchainImagesAllocKHR(
ldc.device,
@@ -140,7 +143,7 @@ pub fn initSwapchain(
allocator,
);
errdefer allocator.free(swapchain_images);
- std.debug.print("swapchain images: {}\n", .{swapchain_images.len});
+ log.debug("swapchain images: {}", .{swapchain_images.len});
const swapchain_image_views = try allocator.alloc(vk.ImageView, swapchain_images.len);
errdefer allocator.free(swapchain_image_views);
@@ -182,7 +185,7 @@ pub fn initSwapchain(
created_image_view_count += 1;
}
- std.debug.print("created swapchain image views: {}\n", .{swapchain_image_views.len});
+ log.debug("created swapchain image views: {}", .{swapchain_image_views.len});
return .{
.swapchain = swapchain,
diff --git a/src/vulkan/sync.zig b/src/vulkan/sync.zig
index 211bb9d..b00e5b3 100644
--- a/src/vulkan/sync.zig
+++ b/src/vulkan/sync.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const vk = @import("vulkan");
const device = @import("device.zig");
@@ -44,7 +45,7 @@ pub fn initSyncObjects(ldc: device.LogicalDeviceContext) !SyncContext {
null,
);
- std.debug.print("created synchronization objects\n", .{});
+ log.debug("created synchronization objects", .{});
return .{
.image_available_semaphore = image_available_semaphore,
diff --git a/src/vulkan/texture.zig b/src/vulkan/texture.zig
new file mode 100644
index 0000000..712e590
--- /dev/null
+++ b/src/vulkan/texture.zig
@@ -0,0 +1,293 @@
+const vk = @import("vulkan");
+
+const context = @import("context.zig");
+const device = @import("device.zig");
+const buffer = @import("buffer.zig");
+const commands = @import("commands.zig");
+const assets = @import("../assets.zig");
+
+pub const TextureContext = struct {
+ image: vk.Image,
+ memory: vk.DeviceMemory,
+ image_view: vk.ImageView,
+ sampler: vk.Sampler,
+
+ pub fn destroy(self: *const TextureContext, ldc: *const device.LogicalDeviceContext) void {
+ ldc.vkd.destroySampler(ldc.device, self.sampler, null);
+ ldc.vkd.destroyImageView(ldc.device, self.image_view, null);
+ ldc.vkd.destroyImage(ldc.device, self.image, null);
+ ldc.vkd.freeMemory(ldc.device, self.memory, null);
+ }
+};
+
+pub fn createImage(
+ vc: context.VulkanContext,
+ ldc: device.LogicalDeviceContext,
+ width: u32,
+ height: u32,
+ format: vk.Format,
+ tiling: vk.ImageTiling,
+ usage: vk.ImageUsageFlags,
+ properties: vk.MemoryPropertyFlags,
+) !TextureContext {
+ const image_create_info = vk.ImageCreateInfo{
+ .image_type = .@"2d",
+ .extent = .{
+ .width = width,
+ .height = height,
+ .depth = 1,
+ },
+ .mip_levels = 1,
+ .array_layers = 1,
+ .format = format,
+ .tiling = tiling,
+ .initial_layout = .undefined,
+ .usage = usage,
+ .samples = .{ .@"1_bit" = true },
+ .sharing_mode = .exclusive,
+ };
+
+ const image = try ldc.vkd.createImage(ldc.device, &image_create_info, null);
+ errdefer ldc.vkd.destroyImage(ldc.device, image, null);
+
+ const memory_requirements = ldc.vkd.getImageMemoryRequirements(ldc.device, image);
+ const memory_type_index = try buffer.findMemoryType(
+ vc,
+ ldc,
+ memory_requirements.memory_type_bits,
+ properties,
+ );
+
+ const alloc_info = vk.MemoryAllocateInfo{
+ .allocation_size = memory_requirements.size,
+ .memory_type_index = memory_type_index,
+ };
+
+ const memory = try ldc.vkd.allocateMemory(ldc.device, &alloc_info, null);
+ errdefer ldc.vkd.freeMemory(ldc.device, memory, null);
+
+ try ldc.vkd.bindImageMemory(ldc.device, image, memory, 0);
+
+ const image_view = try createImageView(ldc, image, format);
+ errdefer ldc.vkd.destroyImageView(ldc.device, image_view, null);
+
+ const sampler = try createTextureSampler(ldc);
+ errdefer ldc.vkd.destroySampler(ldc.device, sampler, null);
+
+ return .{
+ .image = image,
+ .memory = memory,
+ .image_view = image_view,
+ .sampler = sampler,
+ };
+}
+
+fn createImageView(
+ ldc: device.LogicalDeviceContext,
+ image: vk.Image,
+ format: vk.Format,
+) !vk.ImageView {
+ const view_create_info = vk.ImageViewCreateInfo{
+ .image = image,
+ .view_type = .@"2d",
+ .format = format,
+ .components = .{
+ .r = .identity,
+ .g = .identity,
+ .b = .identity,
+ .a = .identity,
+ },
+ .subresource_range = .{
+ .aspect_mask = .{
+ .color_bit = true,
+ },
+ .base_mip_level = 0,
+ .level_count = 1,
+ .base_array_layer = 0,
+ .layer_count = 1,
+ },
+ };
+
+ return try ldc.vkd.createImageView(
+ ldc.device,
+ &view_create_info,
+ null,
+ );
+}
+
+fn createTextureSampler(ldc: device.LogicalDeviceContext) !vk.Sampler {
+ const sampler_create_info = vk.SamplerCreateInfo{
+ .mag_filter = .linear,
+ .min_filter = .linear,
+ .mipmap_mode = .linear,
+ .address_mode_u = .clamp_to_edge,
+ .address_mode_v = .clamp_to_edge,
+ .address_mode_w = .clamp_to_edge,
+ .mip_lod_bias = 0.0,
+ .anisotropy_enable = .false,
+ .max_anisotropy = 1.0,
+ .compare_enable = .false,
+ .compare_op = .always,
+ .min_lod = 0.0,
+ .max_lod = 0.0,
+ .border_color = .int_opaque_black,
+ .unnormalized_coordinates = .false,
+ };
+
+ return try ldc.vkd.createSampler(
+ ldc.device,
+ &sampler_create_info,
+ null,
+ );
+}
+
+pub fn transitionImageLayout(
+ ldc: device.LogicalDeviceContext,
+ command_context: commands.CommandContext,
+ image: vk.Image,
+ old_layout: vk.ImageLayout,
+ new_layout: vk.ImageLayout,
+) !void {
+ const command_buffer = try commands.beginSingleTimeCommands(ldc, command_context);
+
+ var barrier = vk.ImageMemoryBarrier{
+ .src_access_mask = .{},
+ .dst_access_mask = .{},
+ .old_layout = old_layout,
+ .new_layout = new_layout,
+ .src_queue_family_index = vk.QUEUE_FAMILY_IGNORED,
+ .dst_queue_family_index = vk.QUEUE_FAMILY_IGNORED,
+ .image = image,
+ .subresource_range = .{
+ .aspect_mask = .{ .color_bit = true },
+ .base_mip_level = 0,
+ .level_count = 1,
+ .base_array_layer = 0,
+ .layer_count = 1,
+ },
+ };
+
+ var source_stage: vk.PipelineStageFlags = undefined;
+ var destination_stage: vk.PipelineStageFlags = undefined;
+
+ if (old_layout == .undefined and new_layout == .transfer_dst_optimal) {
+ barrier.src_access_mask = .{};
+ barrier.dst_access_mask = .{ .transfer_write_bit = true };
+
+ source_stage = .{ .top_of_pipe_bit = true };
+ destination_stage = .{ .transfer_bit = true };
+ } else if (old_layout == .transfer_dst_optimal and new_layout == .shader_read_only_optimal) {
+ barrier.src_access_mask = .{ .transfer_write_bit = true };
+ barrier.dst_access_mask = .{ .shader_read_bit = true };
+
+ source_stage = .{ .transfer_bit = true };
+ destination_stage = .{ .fragment_shader_bit = true };
+ } else {
+ return error.UnsupportedLayoutTransition;
+ }
+
+ const image_barriers = [_]vk.ImageMemoryBarrier{barrier};
+
+ ldc.vkd.cmdPipelineBarrier(
+ command_buffer,
+ source_stage,
+ destination_stage,
+ .{},
+ null,
+ null,
+ &image_barriers,
+ );
+
+ try commands.endSingleTimeCommands(ldc, command_context, command_buffer);
+}
+
+pub fn copyBufferToImage(
+ ldc: device.LogicalDeviceContext,
+ command_context: commands.CommandContext,
+ source_buffer: vk.Buffer,
+ destination_image: vk.Image,
+ width: u32,
+ height: u32,
+) !void {
+ const command_buffer = try commands.beginSingleTimeCommands(ldc, command_context);
+
+ const region = vk.BufferImageCopy{
+ .buffer_offset = 0,
+ .buffer_row_length = 0,
+ .buffer_image_height = 0,
+ .image_subresource = .{
+ .aspect_mask = .{ .color_bit = true },
+ .mip_level = 0,
+ .base_array_layer = 0,
+ .layer_count = 1,
+ },
+ .image_offset = .{ .x = 0, .y = 0, .z = 0 },
+ .image_extent = .{
+ .width = width,
+ .height = height,
+ .depth = 1,
+ },
+ };
+
+ const regions = [_]vk.BufferImageCopy{region};
+
+ ldc.vkd.cmdCopyBufferToImage(
+ command_buffer,
+ source_buffer,
+ destination_image,
+ .transfer_dst_optimal,
+ ®ions,
+ );
+
+ try commands.endSingleTimeCommands(ldc, command_context, command_buffer);
+}
+
+pub fn initTextureFromRgba(
+ vc: context.VulkanContext,
+ ldc: device.LogicalDeviceContext,
+ command_context: commands.CommandContext,
+ asset: []const u8,
+ width: u32,
+ height: u32,
+ format: vk.Format,
+ tiling: vk.ImageTiling,
+ usage: vk.ImageUsageFlags,
+ properties: vk.MemoryPropertyFlags,
+) !TextureContext {
+ const staging = try buffer.initStagingBuffer(vc, ldc, asset);
+ defer staging.destroy(&ldc);
+
+ const texture = try createImage(
+ vc,
+ ldc,
+ width,
+ height,
+ format,
+ tiling,
+ usage,
+ properties,
+ );
+ try transitionImageLayout(
+ ldc,
+ command_context,
+ texture.image,
+ .undefined,
+ .transfer_dst_optimal,
+ );
+ try copyBufferToImage(
+ ldc,
+ command_context,
+ staging.buffer,
+ texture.image,
+ width,
+ height,
+ );
+ try transitionImageLayout(
+ ldc,
+ command_context,
+ texture.image,
+ .transfer_dst_optimal,
+ .shader_read_only_optimal,
+ );
+ return texture;
+}
diff --git a/src/window.zig b/src/window.zig
index 7ca0856..39ae6e4 100644
--- a/src/window.zig
+++ b/src/window.zig
@@ -1,4 +1,5 @@
const std = @import("std");
+const log = std.log.scoped(.graphics);
const glfw = @import("zglfw");
pub fn initWindow(x: c_int, y: c_int, name: [:0]const u8) !*glfw.Window {
@@ -14,15 +15,15 @@ pub fn initWindow(x: c_int, y: c_int, name: [:0]const u8) !*glfw.Window {
null,
);
- std.debug.print("GLFW platform: {any}\n", .{glfw.getPlatform()});
- std.debug.print("Vulkan supported by GLFW: {}\n", .{glfw.isVulkanSupported()});
+ log.debug("GLFW platform: {any}", .{glfw.getPlatform()});
+ log.debug("Vulkan supported by GLFW: {}", .{glfw.isVulkanSupported()});
const size = window.getSize();
const fb_size = window.getFramebufferSize();
- std.debug.print("Window size: {}x{}\n", .{ size[0], size[1] });
- std.debug.print("Framebuffer size: {}x{}\n", .{ fb_size[0], fb_size[1] });
- std.debug.print("Window visible: {}\n", .{window.getAttribute(.visible)});
+ log.debug("Window size: {}x{}", .{ size[0], size[1] });
+ log.debug("Framebuffer size: {}x{}", .{ fb_size[0], fb_size[1] });
+ log.debug("Window visible: {}", .{window.getAttribute(.visible)});
return window;
}
diff --git a/tools/magic_numbers.zig b/tools/magic_numbers.zig
new file mode 100644
index 0000000..a0ee780
--- /dev/null
+++ b/tools/magic_numbers.zig
@@ -0,0 +1,835 @@
+const std = @import("std");
+
+const Bitboard = u64;
+const Square = u6;
+const rank_1_mask: u64 = 0x0000_0000_0000_00FF;
+const file_a_mask: u64 = 0x0101_0101_0101_0101;
+
+const SlidingPiece = enum {
+ bishop,
+ rook,
+
+ fn parse(text: []const u8) ?SlidingPiece {
+ if (std.mem.eql(u8, text, "bishop")) return .bishop;
+ if (std.mem.eql(u8, text, "rook")) return .rook;
+ return null;
+ }
+};
+
+const RookAttackTableSize = 4096;
+const BishopAttackTableSize = 512;
+
+const MagicInfo = struct {
+ mask: Bitboard,
+ magic: Bitboard,
+ shift: u7,
+};
+
+const Config = struct {
+ piece: SlidingPiece = .rook,
+ square: ?Square = null,
+ seed: u64 = 0x9e37_79b9_7f4a_7c15,
+ attempts: u64 = 1_000_000,
+ output_path: ?[]const u8 = null,
+};
+
+pub fn main(init: std.process.Init) !void {
+ var args = try std.process.Args.Iterator.initAllocator(init.minimal.args, std.heap.page_allocator);
+ defer args.deinit();
+
+ _ = args.next(); // executable path
+
+ var config = Config{};
+ while (args.next()) |arg| {
+ if (std.mem.eql(u8, arg, "--help") or std.mem.eql(u8, arg, "-h")) {
+ printUsage();
+ return;
+ } else if (std.mem.eql(u8, arg, "--piece")) {
+ const value = args.next() orelse return error.MissingPieceValue;
+ config.piece = SlidingPiece.parse(value) orelse return error.InvalidPiece;
+ } else if (std.mem.eql(u8, arg, "--square")) {
+ const value = args.next() orelse return error.MissingSquareValue;
+ const parsed = try std.fmt.parseUnsigned(u8, value, 10);
+ if (parsed >= 64) return error.InvalidSquare;
+ config.square = @intCast(parsed);
+ } else if (std.mem.eql(u8, arg, "--seed")) {
+ const value = args.next() orelse return error.MissingSeedValue;
+ config.seed = try std.fmt.parseUnsigned(u64, value, 0);
+ } else if (std.mem.eql(u8, arg, "--attempts")) {
+ const value = args.next() orelse return error.MissingAttemptsValue;
+ config.attempts = try std.fmt.parseUnsigned(u64, value, 10);
+ } else if (std.mem.eql(u8, arg, "--output")) {
+ config.output_path = args.next() orelse return error.MissingOutputValue;
+ } else {
+ std.log.err("unknown argument: {s}", .{arg});
+ printUsage();
+ return error.UnknownArgument;
+ }
+ }
+
+ std.debug.print("magic number utility scaffold\n", .{});
+ std.debug.print("piece: {s}\n", .{@tagName(config.piece)});
+ if (config.square) |square| {
+ std.debug.print("square: {}\n", .{square});
+ } else {
+ std.debug.print("square: all\n", .{});
+ }
+ std.debug.print("seed: 0x{x}\n", .{config.seed});
+ std.debug.print("attempts: {}\n\n", .{config.attempts});
+
+ std.debug.print(
+ "TODO: add occupancy-mask generation, attack-table generation, and random magic search here.\n" ++
+ "This tool intentionally does not import src/chess/ so it can evolve independently from chess implementation code.\n",
+ .{},
+ );
+
+ printBitboard(getQueenAttackMask(0));
+
+ var gpa = std.heap.DebugAllocator(.{}){};
+ defer _ = gpa.deinit();
+
+ const allocator = gpa.allocator();
+
+ if (config.output_path) |output_path| {
+ const rook_magic_info = try allocator.create([64]MagicInfo);
+ defer allocator.destroy(rook_magic_info);
+ const bishop_magic_info = try allocator.create([64]MagicInfo);
+ defer allocator.destroy(bishop_magic_info);
+ const rook_attacks = try allocator.create([64][RookAttackTableSize]Bitboard);
+ defer allocator.destroy(rook_attacks);
+ const bishop_attacks = try allocator.create([64][BishopAttackTableSize]Bitboard);
+ defer allocator.destroy(bishop_attacks);
+
+ rook_magic_info.* = .{@as(MagicInfo, .{ .mask = 0, .magic = 0, .shift = 0 })} ** 64;
+ bishop_magic_info.* = .{@as(MagicInfo, .{ .mask = 0, .magic = 0, .shift = 0 })} ** 64;
+ rook_attacks.* = .{.{0} ** RookAttackTableSize} ** 64;
+ bishop_attacks.* = .{.{0} ** BishopAttackTableSize} ** 64;
+
+ var prng = std.Random.DefaultPrng.init(config.seed);
+ const random = prng.random();
+
+ for (0..64) |square_index| {
+ const square: Square = @intCast(square_index);
+ try generateRookMagicNumber(square, random, rook_magic_info, rook_attacks, allocator, config.attempts);
+ try generateBishopMagicNumber(square, random, bishop_magic_info, bishop_attacks, allocator, config.attempts);
+ std.debug.print("generated magic tables for square {}\n", .{square_index});
+ }
+
+ try writeGeneratedMagicTables(
+ output_path,
+ rook_magic_info,
+ bishop_magic_info,
+ rook_attacks,
+ bishop_attacks,
+ allocator,
+ init.io,
+ );
+ std.debug.print("wrote generated magic tables to {s}\n", .{output_path});
+ }
+}
+
+fn printUsage() void {
+ std.debug.print(
+ \\Usage:
+ \\ zig build run-magic-numbers -- [options]
+ \\
+ \\Options:
+ \\ --piece rook|bishop Sliding piece to search for. Default: rook
+ \\ --square 0..63 Single square to search. Default: all squares
+ \\ --seed N Random seed. Supports decimal or 0x-prefixed hex
+ \\ --attempts N Candidate magic numbers to try per square
+ \\ --output PATH Write generated Zig tables to PATH
+ \\ -h, --help Show this help
+ \\
+ ,
+ .{},
+ );
+}
+
+pub fn bit(square: Square) Bitboard {
+ return @as(Bitboard, 1) << square;
+}
+
+pub fn getRookAttackMask(square: Square) Bitboard {
+ const rank = square / 8;
+ const file = square % 8;
+
+ const rank_mask = rank_1_mask << (rank * 8);
+ const file_mask = file_a_mask << file;
+
+ var rook_mask = (rank_mask | file_mask) & ~bit(square);
+ if (rank_mask != rank_1_mask) {
+ rook_mask = rook_mask & ~rank_1_mask;
+ }
+ if (rank_mask != (rank_1_mask << 56)) {
+ rook_mask = rook_mask & ~(rank_1_mask << 56);
+ }
+ if (file_mask != file_a_mask) {
+ rook_mask = rook_mask & ~file_a_mask;
+ }
+ if (file_mask != (file_a_mask << 7)) {
+ rook_mask = rook_mask & ~(file_a_mask << 7);
+ }
+ return rook_mask;
+}
+
+pub fn generateRookMagicNumber(square: Square, random: std.Random, rook_info: *[64]MagicInfo, rook_attacks: *[64][RookAttackTableSize]Bitboard, allocator: std.mem.Allocator, max_attempts: u64) !void {
+ const mask = getRookAttackMask(square);
+ const set_bits = try getMaskSetBits(mask, allocator);
+ defer allocator.free(set_bits);
+
+ const relevant_bits = set_bits.len;
+ const table_size = @as(usize, 1) << @intCast(relevant_bits);
+ const shift: u7 = @intCast(64 - relevant_bits);
+
+ const occupancies = try getAllPotentialOccupiedSquares(set_bits, allocator);
+ defer allocator.free(occupancies);
+
+ const expected_attacks = try allocator.alloc(Bitboard, table_size);
+ defer allocator.free(expected_attacks);
+
+ for (occupancies, 0..) |occupancy, i| {
+ expected_attacks[i] = getRookAttacks(square, occupancy);
+ }
+
+ const temp_table = try allocator.alloc(Bitboard, table_size);
+ defer allocator.free(temp_table);
+
+ const used = try allocator.alloc(bool, table_size);
+ defer allocator.free(used);
+
+ var found_magic: Bitboard = 0;
+
+ var attempts: u64 = 0;
+ while (attempts < max_attempts) : (attempts += 1) {
+ const magic = magicRandom(random);
+
+ if (testMagicCandidate(magic, shift, occupancies, expected_attacks, temp_table, used)) {
+ found_magic = magic;
+ break;
+ }
+ }
+ if (found_magic == 0) return error.MagicNotFound;
+
+ rook_info[square] = .{
+ .magic = found_magic,
+ .shift = shift,
+ .mask = mask,
+ };
+
+ @memset(&rook_attacks[square], 0);
+ for (temp_table, 0..) |attack, i| {
+ rook_attacks[square][i] = attack;
+ }
+}
+
+pub fn generateBishopMagicNumber(square: Square, random: std.Random, bishop_info: *[64]MagicInfo, bishop_attacks: *[64][BishopAttackTableSize]Bitboard, allocator: std.mem.Allocator, max_attempts: u64) !void {
+ const mask = getBishopAttackMask(square);
+ const set_bits = try getMaskSetBits(mask, allocator);
+ defer allocator.free(set_bits);
+
+ const relevant_bits = set_bits.len;
+ const table_size = @as(usize, 1) << @intCast(relevant_bits);
+ const shift: u7 = @intCast(64 - relevant_bits);
+
+ const occupancies = try getAllPotentialOccupiedSquares(set_bits, allocator);
+ defer allocator.free(occupancies);
+
+ const expected_attacks = try allocator.alloc(Bitboard, table_size);
+ defer allocator.free(expected_attacks);
+
+ for (occupancies, 0..) |occupancy, i| {
+ expected_attacks[i] = getBishopAttacks(square, occupancy);
+ }
+
+ const temp_table = try allocator.alloc(Bitboard, table_size);
+ defer allocator.free(temp_table);
+
+ const used = try allocator.alloc(bool, table_size);
+ defer allocator.free(used);
+
+ var found_magic: Bitboard = 0;
+
+ var attempts: u64 = 0;
+ while (attempts < max_attempts) : (attempts += 1) {
+ const magic = magicRandom(random);
+
+ if (testMagicCandidate(magic, shift, occupancies, expected_attacks, temp_table, used)) {
+ found_magic = magic;
+ break;
+ }
+ }
+ if (found_magic == 0) return error.MagicNotFound;
+
+ bishop_info[square] = .{
+ .mask = mask,
+ .magic = found_magic,
+ .shift = shift,
+ };
+
+ @memset(&bishop_attacks[square], 0);
+ for (temp_table, 0..) |attack, i| {
+ bishop_attacks[square][i] = attack;
+ }
+}
+
+fn testMagicCandidate(
+ magic: Bitboard,
+ shift: u7,
+ occupancies: []const Bitboard,
+ expected_attacks: []const Bitboard,
+ temp_table: []Bitboard,
+ used: []bool,
+) bool {
+ @memset(temp_table, 0);
+ @memset(used, false);
+
+ for (occupancies, 0..) |occupancy, i| {
+ const shift_amount: u6 = @intCast(shift);
+ const index: usize = @intCast((occupancy *% magic) >> shift_amount);
+ const expected = expected_attacks[i];
+
+ if (!used[index]) {
+ used[index] = true;
+ temp_table[index] = expected;
+ } else if (temp_table[index] != expected) {
+ return false;
+ }
+ }
+
+ return true;
+}
+
+fn magicRandom(random: std.Random) u64 {
+ return random.int(u64) & random.int(u64) & random.int(u64);
+}
+
+fn writeGeneratedMagicTables(
+ output_path: []const u8,
+ rook_info: *const [64]MagicInfo,
+ bishop_info: *const [64]MagicInfo,
+ rook_attacks: *const [64][RookAttackTableSize]Bitboard,
+ bishop_attacks: *const [64][BishopAttackTableSize]Bitboard,
+ allocator: std.mem.Allocator,
+ io: std.Io,
+) !void {
+ var allocating_writer = std.Io.Writer.Allocating.init(allocator);
+ defer allocating_writer.deinit();
+
+ try writeMagicTables(&allocating_writer.writer, rook_info, bishop_info, rook_attacks, bishop_attacks);
+
+ var contents = allocating_writer.toArrayList();
+ defer contents.deinit(allocator);
+
+ try std.Io.Dir.cwd().writeFile(io, .{
+ .sub_path = output_path,
+ .data = contents.items,
+ });
+}
+
+fn writeMagicTables(
+ writer: *std.Io.Writer,
+ rook_info: *const [64]MagicInfo,
+ bishop_info: *const [64]MagicInfo,
+ rook_attacks: *const [64][RookAttackTableSize]Bitboard,
+ bishop_attacks: *const [64][BishopAttackTableSize]Bitboard,
+) std.Io.Writer.Error!void {
+ try writer.print(
+ \\// Generated by tools/magic_numbers.zig. Do not edit by hand.
+ \\const bitboard = @import("bitboard.zig");
+ \\
+ \\pub const Bitboard = bitboard.Bitboard;
+ \\
+ \\pub const MagicInfo = struct {{
+ \\ mask: Bitboard,
+ \\ magic: Bitboard,
+ \\ shift: u7,
+ \\}};
+ \\
+ \\pub const RookAttackTableSize = {};
+ \\pub const BishopAttackTableSize = {};
+ \\
+ ,
+ .{ RookAttackTableSize, BishopAttackTableSize },
+ );
+
+ try writeMagicInfoArray(writer, "rook_magic_info", rook_info);
+ try writeMagicInfoArray(writer, "bishop_magic_info", bishop_info);
+ try writeAttackTable(writer, "rook_attacks", RookAttackTableSize, rook_attacks);
+ try writeAttackTable(writer, "bishop_attacks", BishopAttackTableSize, bishop_attacks);
+}
+
+fn writeMagicInfoArray(writer: *std.Io.Writer, name: []const u8, infos: *const [64]MagicInfo) std.Io.Writer.Error!void {
+ try writer.print("pub const {s}: [64]MagicInfo = .{{\n", .{name});
+ for (infos) |info| {
+ try writer.print(" .{{ .mask = 0x{x}, .magic = 0x{x}, .shift = {} }},\n", .{ info.mask, info.magic, info.shift });
+ }
+ try writer.print("}};\n\n", .{});
+}
+
+fn writeAttackTable(
+ writer: *std.Io.Writer,
+ name: []const u8,
+ comptime table_size: usize,
+ attacks: *const [64][table_size]Bitboard,
+) std.Io.Writer.Error!void {
+ try writer.print("pub const {s}: [64][{}]Bitboard = .{{\n", .{ name, table_size });
+ for (attacks) |square_attacks| {
+ try writer.print(" .{{\n", .{});
+ for (square_attacks, 0..) |attack, i| {
+ if (i % 4 == 0) try writer.print(" ", .{});
+ try writer.print("0x{x}, ", .{attack});
+ if (i % 4 == 3) try writer.print("\n", .{});
+ }
+ if (table_size % 4 != 0) try writer.print("\n", .{});
+ try writer.print(" }},\n", .{});
+ }
+ try writer.print("}};\n\n", .{});
+}
+
+pub fn getRookAttacks(square: Square, blockers: Bitboard) Bitboard {
+ const rank: i32 = @intCast(square / 8);
+ const file: i32 = @intCast(square % 8);
+
+ var attacks: Bitboard = 0;
+
+ var r = rank + 1;
+ var f = file;
+ while (r <= 7) : (r += 1) {
+ const target: Square = @intCast(r * 8 + f);
+ attacks |= @as(Bitboard, 1) << target;
+ if ((blockers & (@as(Bitboard, 1) << target)) != 0) break;
+ }
+ r = rank - 1;
+ f = file;
+ while (r >= 0) : (r -= 1) {
+ const target: Square = @intCast(r * 8 + f);
+ attacks |= @as(Bitboard, 1) << target;
+ if ((blockers & (@as(Bitboard, 1) << target)) != 0) break;
+ }
+ r = rank;
+ f = file + 1;
+ while (f <= 7) : (f += 1) {
+ const target: Square = @intCast(r * 8 + f);
+ attacks |= @as(Bitboard, 1) << target;
+ if ((blockers & (@as(Bitboard, 1) << target)) != 0) break;
+ }
+ r = rank;
+ f = file - 1;
+ while (f >= 0) : (f -= 1) {
+ const target: Square = @intCast(r * 8 + f);
+ attacks |= @as(Bitboard, 1) << target;
+ if ((blockers & (@as(Bitboard, 1) << target)) != 0) break;
+ }
+ return attacks;
+}
+
+pub fn getBishopAttacks(square: Square, blockers: Bitboard) Bitboard {
+ const rank: i32 = @intCast(square / 8);
+ const file: i32 = @intCast(square % 8);
+
+ var attacks: Bitboard = 0;
+
+ var r = rank + 1;
+ var f = file + 1;
+ while (r <= 7 and f <= 7) {
+ const target: Square = @intCast(r * 8 + f);
+ attacks |= @as(Bitboard, 1) << target;
+ if ((blockers & (@as(Bitboard, 1) << target)) != 0) break;
+ r += 1;
+ f += 1;
+ }
+ r = rank - 1;
+ f = file + 1;
+ while (r >= 0 and f <= 7) {
+ const target: Square = @intCast(r * 8 + f);
+ attacks |= @as(Bitboard, 1) << target;
+ if ((blockers & (@as(Bitboard, 1) << target)) != 0) break;
+ r -= 1;
+ f += 1;
+ }
+ r = rank + 1;
+ f = file - 1;
+ while (r <= 7 and f >= 0) {
+ const target: Square = @intCast(r * 8 + f);
+ attacks |= @as(Bitboard, 1) << target;
+ if ((blockers & (@as(Bitboard, 1) << target)) != 0) break;
+ r += 1;
+ f -= 1;
+ }
+ r = rank - 1;
+ f = file - 1;
+ while (r >= 0 and f >= 0) {
+ const target: Square = @intCast(r * 8 + f);
+ attacks |= @as(Bitboard, 1) << target;
+ if ((blockers & (@as(Bitboard, 1) << target)) != 0) break;
+ r -= 1;
+ f -= 1;
+ }
+ return attacks;
+}
+
+pub fn getQueenAttacks(square: Square, blockers: Bitboard) Bitboard {
+ return getRookAttacks(square, blockers) | getBishopAttacks(square, blockers);
+}
+
+pub fn getBishopAttackMask(square: Square) Bitboard {
+ const rank = square / 8;
+ const file = square % 8;
+
+ var bishop_mask: Bitboard = 0;
+
+ const rank_i: i32 = @intCast(rank);
+ const file_i: i32 = @intCast(file);
+
+ var r: i32 = rank_i + 1;
+ var f: i32 = file_i + 1;
+ while (r < 7 and f < 7) {
+ bishop_mask |= @as(Bitboard, 1) << @intCast(r * 8 + f);
+ r += 1;
+ f += 1;
+ }
+ r = rank_i + 1;
+ f = file_i - 1;
+ while (r < 7 and f > 0) {
+ bishop_mask |= @as(Bitboard, 1) << @intCast(r * 8 + f);
+ r += 1;
+ f -= 1;
+ }
+ r = rank_i - 1;
+ f = file_i + 1;
+ while (r > 0 and f < 7) {
+ bishop_mask |= @as(Bitboard, 1) << @intCast(r * 8 + f);
+ r -= 1;
+ f += 1;
+ }
+ r = rank_i - 1;
+ f = file_i - 1;
+ while (r > 0 and f > 0) {
+ bishop_mask |= @as(Bitboard, 1) << @intCast(r * 8 + f);
+ r -= 1;
+ f -= 1;
+ }
+
+ return bishop_mask;
+}
+
+fn getMaskSetBits(bitboard: Bitboard, allocator: std.mem.Allocator) ![]u6 {
+ const count: usize = @intCast(@popCount(bitboard));
+ const squares = try allocator.alloc(u6, count);
+
+ var bb = bitboard;
+ var i: usize = 0;
+
+ while (bb != 0) {
+ const square: u6 = @intCast(@ctz(bb));
+ squares[i] = square;
+ i += 1;
+
+ bb &= bb - 1;
+ }
+ return squares;
+}
+
+fn getAllPotentialOccupiedSquares(squares: []u6, allocator: std.mem.Allocator) ![]Bitboard {
+ const count = @as(usize, 1) << @intCast(squares.len);
+ const bitboards: []Bitboard = try allocator.alloc(Bitboard, count);
+
+ var combo: usize = 0;
+ while (combo < count) : (combo += 1) {
+ var occupancy: Bitboard = 0;
+
+ for (squares, 0..) |square, i| {
+ const combo_bit = @as(usize, 1) << @intCast(i);
+
+ if ((combo & combo_bit) != 0) {
+ occupancy |= @as(u64, 1) << square;
+ }
+ }
+ bitboards[combo] = occupancy;
+ }
+
+ return bitboards;
+}
+
+pub fn getQueenAttackMask(square: Square) Bitboard {
+ return getRookAttackMask(square) | getBishopAttackMask(square);
+}
+
+fn printBitboard(bb: u64) void {
+ var rank: i32 = 7;
+ while (rank >= 0) : (rank -= 1) {
+ var file: u6 = 0;
+ while (file < 8) : (file += 1) {
+ const square: u6 = @intCast((rank * 8) + file);
+ const mask = @as(u64, 1) << square;
+
+ if ((bb & mask) != 0) {
+ std.debug.print("1 ", .{});
+ } else {
+ std.debug.print(". ", .{});
+ }
+ }
+ std.debug.print("\n", .{});
+ }
+ std.debug.print("\n", .{});
+}
+
+test "bit returns a bitboard with one square set" {
+ try std.testing.expectEqual(@as(Bitboard, 1), bit(0));
+ try std.testing.expectEqual(@as(Bitboard, 1) << 63, bit(63));
+}
+
+test "rook attack mask for A1 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0001_0101_0101_017E), getRookAttackMask(0));
+}
+
+test "rook attack mask for D4 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0008_0808_7608_0800), getRookAttackMask(27));
+}
+
+test "rook attack mask for H8 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x7E80_8080_8080_8000), getRookAttackMask(63));
+}
+
+test "rook attack mask for A4 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0001_0101_7E01_0100), getRookAttackMask(24));
+}
+
+test "rook attack mask for D1 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0008_0808_0808_0876), getRookAttackMask(3));
+}
+
+test "bishop attack mask for A1 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0040_2010_0804_0200), getBishopAttackMask(0));
+}
+
+test "bishop attack mask for D4 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0040_2214_0014_2200), getBishopAttackMask(27));
+}
+
+test "bishop attack mask for H8 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0040_2010_0804_0200), getBishopAttackMask(63));
+}
+
+test "bishop attack mask for A4 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0008_0402_0002_0400), getBishopAttackMask(24));
+}
+
+test "bishop attack mask for D1 excludes self and board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0000_0000_4022_1400), getBishopAttackMask(3));
+}
+
+test "queen attack mask for A1 combines rook and bishop masks" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0041_2111_0905_037E), getQueenAttackMask(0));
+}
+
+test "queen attack mask for D4 combines rook and bishop masks" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0048_2A1C_761C_2A00), getQueenAttackMask(27));
+}
+
+test "queen attack mask for H8 combines rook and bishop masks" {
+ try std.testing.expectEqual(@as(Bitboard, 0x7EC0_A090_8884_8200), getQueenAttackMask(63));
+}
+
+test "queen attack mask for A4 combines rook and bishop masks" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0009_0503_7E03_0500), getQueenAttackMask(24));
+}
+
+test "queen attack mask for D1 combines rook and bishop masks" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0008_0808_482A_1C76), getQueenAttackMask(3));
+}
+
+test "rook attacks from D4 on empty board include board edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0808_0808_F708_0808), getRookAttacks(27, 0));
+}
+
+test "rook attacks from D4 stop at nearest blockers and include blocker squares" {
+ const blockers = bit(35) | bit(25) | bit(30) | bit(11) | bit(45) | bit(9);
+ try std.testing.expectEqual(@as(Bitboard, 0x0000_0008_7608_0800), getRookAttacks(27, blockers));
+}
+
+test "rook attacks from A1 on empty board include rank and file edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x0101_0101_0101_01FE), getRookAttacks(0, 0));
+}
+
+test "rook attacks from A1 stop at adjacent blockers" {
+ const blockers = bit(8) | bit(1) | bit(9);
+ try std.testing.expectEqual(@as(Bitboard, 0x0000_0000_0000_0102), getRookAttacks(0, blockers));
+}
+
+test "bishop attacks from D4 on empty board include diagonal edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x8041_2214_0014_2241), getBishopAttacks(27, 0));
+}
+
+test "bishop attacks from D4 stop at nearest blockers and include blocker squares" {
+ const blockers = bit(35) | bit(25) | bit(30) | bit(11) | bit(45) | bit(9);
+ try std.testing.expectEqual(@as(Bitboard, 0x0001_2214_0014_2240), getBishopAttacks(27, blockers));
+}
+
+test "bishop attacks from A1 on empty board include diagonal edge" {
+ try std.testing.expectEqual(@as(Bitboard, 0x8040_2010_0804_0200), getBishopAttacks(0, 0));
+}
+
+test "bishop attacks from A1 stop at adjacent diagonal blocker" {
+ const blockers = bit(8) | bit(1) | bit(9);
+ try std.testing.expectEqual(@as(Bitboard, 0x0000_0000_0000_0200), getBishopAttacks(0, blockers));
+}
+
+test "queen attacks from D4 combine rook and bishop attacks on empty board" {
+ try std.testing.expectEqual(@as(Bitboard, 0x8849_2A1C_F71C_2A49), getQueenAttacks(27, 0));
+}
+
+test "queen attacks from D4 combine rook and bishop attacks with blockers" {
+ const blockers = bit(35) | bit(25) | bit(30) | bit(11) | bit(45) | bit(9);
+ try std.testing.expectEqual(@as(Bitboard, 0x0001_221C_761C_2A40), getQueenAttacks(27, blockers));
+}
+
+test "queen attacks from A1 on empty board combine rook and bishop edges" {
+ try std.testing.expectEqual(@as(Bitboard, 0x8141_2111_0905_03FE), getQueenAttacks(0, 0));
+}
+
+test "queen attacks from A1 stop at adjacent blockers" {
+ const blockers = bit(8) | bit(1) | bit(9);
+ try std.testing.expectEqual(@as(Bitboard, 0x0000_0000_0000_0302), getQueenAttacks(0, blockers));
+}
+
+test "getMaskSetBits returns an empty slice for an empty bitboard" {
+ const squares = try getMaskSetBits(0, std.testing.allocator);
+ defer std.testing.allocator.free(squares);
+
+ try std.testing.expectEqual(@as(usize, 0), squares.len);
+}
+
+test "getMaskSetBits returns set square indexes from least to greatest" {
+ const mask = bit(0) | bit(7) | bit(27) | bit(63);
+ const squares = try getMaskSetBits(mask, std.testing.allocator);
+ defer std.testing.allocator.free(squares);
+
+ try std.testing.expectEqualSlices(u6, &.{ 0, 7, 27, 63 }, squares);
+}
+
+test "getMaskSetBits returns every set bit from a rook mask" {
+ const squares = try getMaskSetBits(getRookAttackMask(0), std.testing.allocator);
+ defer std.testing.allocator.free(squares);
+
+ try std.testing.expectEqualSlices(u6, &.{ 1, 2, 3, 4, 5, 6, 8, 16, 24, 32, 40, 48 }, squares);
+}
+
+test "getAllPotentialOccupiedSquares returns only the empty occupancy for no squares" {
+ var input = [_]u6{};
+ const occupancies = try getAllPotentialOccupiedSquares(&input, std.testing.allocator);
+ defer std.testing.allocator.free(occupancies);
+
+ try std.testing.expectEqual(@as(usize, 1), occupancies.len);
+ try std.testing.expectEqual(@as(Bitboard, 0), occupancies[0]);
+}
+
+test "getAllPotentialOccupiedSquares returns every subset for three squares" {
+ var input = [_]u6{ 1, 3, 8 };
+ const occupancies = try getAllPotentialOccupiedSquares(&input, std.testing.allocator);
+ defer std.testing.allocator.free(occupancies);
+
+ try std.testing.expectEqual(@as(usize, 8), occupancies.len);
+ try std.testing.expectEqualSlices(Bitboard, &.{
+ 0,
+ bit(1),
+ bit(3),
+ bit(1) | bit(3),
+ bit(8),
+ bit(1) | bit(8),
+ bit(3) | bit(8),
+ bit(1) | bit(3) | bit(8),
+ }, occupancies);
+}
+
+test "getAllPotentialOccupiedSquares count is two to the number of squares" {
+ var input = [_]u6{ 1, 2, 3, 4, 5 };
+ const occupancies = try getAllPotentialOccupiedSquares(&input, std.testing.allocator);
+ defer std.testing.allocator.free(occupancies);
+
+ try std.testing.expectEqual(@as(usize, 32), occupancies.len);
+}
+
+test "testMagicCandidate accepts a magic that gives unique indexes" {
+ const occupancies = [_]Bitboard{ 0, bit(0), bit(1), bit(0) | bit(1) };
+ const expected_attacks = [_]Bitboard{ 0x11, 0x22, 0x44, 0x88 };
+ var temp_table = [_]Bitboard{0} ** 4;
+ var used = [_]bool{false} ** 4;
+
+ const magic = @as(Bitboard, 1) << 62;
+ try std.testing.expect(testMagicCandidate(
+ magic,
+ 62,
+ &occupancies,
+ &expected_attacks,
+ &temp_table,
+ &used,
+ ));
+
+ try std.testing.expectEqualSlices(Bitboard, &expected_attacks, &temp_table);
+ try std.testing.expectEqualSlices(bool, &[_]bool{ true, true, true, true }, &used);
+}
+
+test "testMagicCandidate rejects harmful collisions" {
+ const occupancies = [_]Bitboard{ 0, bit(0) };
+ const expected_attacks = [_]Bitboard{ 0x11, 0x22 };
+ var temp_table = [_]Bitboard{0} ** 2;
+ var used = [_]bool{false} ** 2;
+
+ try std.testing.expect(!testMagicCandidate(
+ 0,
+ 63,
+ &occupancies,
+ &expected_attacks,
+ &temp_table,
+ &used,
+ ));
+}
+
+test "testMagicCandidate allows constructive collisions with identical attacks" {
+ const occupancies = [_]Bitboard{ 0, bit(0), bit(1), bit(0) | bit(1) };
+ const expected_attacks = [_]Bitboard{ 0x55, 0x55, 0x55, 0x55 };
+ var temp_table = [_]Bitboard{0} ** 1;
+ var used = [_]bool{false} ** 1;
+
+ try std.testing.expect(testMagicCandidate(
+ 0,
+ 63,
+ &occupancies,
+ &expected_attacks,
+ &temp_table,
+ &used,
+ ));
+
+ try std.testing.expect(used[0]);
+ try std.testing.expectEqual(@as(Bitboard, 0x55), temp_table[0]);
+}
+
+test "writeMagicInfoArray emits Zig constants" {
+ var infos = [_]MagicInfo{.{ .mask = 0, .magic = 0, .shift = 0 }} ** 64;
+ infos[0] = .{ .mask = 0x12, .magic = 0x34, .shift = 56 };
+
+ var allocating_writer = std.Io.Writer.Allocating.init(std.testing.allocator);
+ defer allocating_writer.deinit();
+
+ try writeMagicInfoArray(&allocating_writer.writer, "test_infos", &infos);
+ const output = allocating_writer.writer.buffer[0..allocating_writer.writer.end];
+
+ try std.testing.expect(std.mem.indexOf(u8, output, "pub const test_infos: [64]MagicInfo") != null);
+ try std.testing.expect(std.mem.indexOf(u8, output, ".{ .mask = 0x12, .magic = 0x34, .shift = 56 },") != null);
+}
+
+test "writeAttackTable emits nested Zig attack arrays" {
+ var attacks = [_][2]Bitboard{.{ 0, 0 }} ** 64;
+ attacks[0] = .{ 0x11, 0x22 };
+
+ var allocating_writer = std.Io.Writer.Allocating.init(std.testing.allocator);
+ defer allocating_writer.deinit();
+
+ try writeAttackTable(&allocating_writer.writer, "test_attacks", 2, &attacks);
+ const output = allocating_writer.writer.buffer[0..allocating_writer.writer.end];
+
+ try std.testing.expect(std.mem.indexOf(u8, output, "pub const test_attacks: [64][2]Bitboard") != null);
+ try std.testing.expect(std.mem.indexOf(u8, output, "0x11, 0x22,") != null);
+}