texture loading
[convexer.git] / nbvtf / rgbcx.h
1 // rgbcx.h v1.12
2 // High-performance scalar BC1-5 encoders. Public Domain or MIT license (you choose - see below), written by Richard Geldreich 2020 <richgel99@gmail.com>.
3 //
4 // Influential references:
5 // http://sjbrown.co.uk/2006/01/19/dxt-compression-techniques/
6 // https://github.com/nothings/stb/blob/master/stb_dxt.h
7 // https://gist.github.com/castano/c92c7626f288f9e99e158520b14a61cf
8 // https://github.com/castano/icbc/blob/master/icbc.h
9 // http://www.humus.name/index.php?page=3D&ID=79
10 //
11 // This is a single header file library. Be sure to "#define RGBCX_IMPLEMENTATION" in one .cpp file somewhere.
12 //
13 // Instructions:
14 //
15 // The library MUST be initialized by calling this function at least once before using any encoder or decoder functions:
16 //
17 // void rgbcx::init(bc1_approx_mode mode = cBC1Ideal);
18 //
19 // This function manipulates global state, so it is not thread safe.
20 // You can call it multiple times to change the global BC1 approximation mode.
21 // Important: BC1/3 textures encoded using non-ideal BC1 approximation modes should only be sampled on parts from that vendor.
22 // If you encode for AMD, average error on AMD parts will go down, but average error on NVidia parts will go up and vice versa.
23 // If in doubt, encode in ideal BC1 mode.
24 //
25 // Call these functions to encode BC1-5:
26 // void rgbcx::encode_bc1(uint32_t level, void* pDst, const uint8_t* pPixels, bool allow_3color, bool use_transparent_texels_for_black);
27 // void rgbcx::encode_bc3(uint32_t level, void* pDst, const uint8_t* pPixels);
28 // void rgbcx::encode_bc4(void* pDst, const uint8_t* pPixels, uint32_t stride = 4);
29 // void rgbcx::encode_bc5(void* pDst, const uint8_t* pPixels, uint32_t chan0 = 0, uint32_t chan1 = 1, uint32_t stride = 4);
30 //
31 // - level ranges from MIN_LEVEL to MAX_LEVEL. The higher the level, the slower the encoder goes, but the higher the average quality.
32 // levels [0,4] are fast and compete against stb_dxt (default and HIGHQUAL). The remaining levels compete against squish/NVTT/icbc and icbc HQ.
33 // If in doubt just use level 10, set allow_3color to true and use_transparent_texels_for_black to false, and adjust as needed.
34 //
35 // - pDst is a pointer to the 8-byte (BC1/4) or 16-byte (BC3/5) destination block.
36 //
37 // - pPixels is a pointer to the 32-bpp pixels, in either RGBX or RGBA format (R is first in memory).
38 // Alpha is always ignored by encode_bc1().
39 //
40 // - allow_3color: If true the encoder will use 3-color blocks. This flag is ignored unless level is >= 5 (because lower levels compete against stb_dxt and it doesn't support 3-color blocks).
41 // Do not enable on BC3-5 textures. 3-color block usage slows down encoding.
42 //
43 // - use_transparent_texels_for_black: If true the encoder will use 3-color block transparent black pixels to code very dark or black texels. Your engine/shader MUST ignore the sampled
44 // alpha value for textures encoded in this mode. This is how NVidia's classic "nvdxt" encoder (used by many original Xbox titles) used to work by default on DXT1C textures. It increases
45 // average quality substantially (because dark texels/black are very common) and is highly recommended.
46 // Do not enable on BC3-5 textures.
47 //
48 // - stride is the source pixel stride, in bytes. It's typically 4.
49 //
50 // - chan0 and chan1 are the source channels. Typically they will be 0 and 1.
51 //
52 // All encoding and decoding functions are threade-safe.
53 //
54 // To reduce the compiled size of the encoder, set #define RGBCX_USE_SMALLER_TABLES to 1 before including this header.
55 //
56 #ifndef RGBCX_INCLUDE_H
57 #define RGBCX_INCLUDE_H
58
59 #include <stdlib.h>
60 #include <stdint.h>
61 #include <assert.h>
62
63 #ifndef RGBCX_NO_ALGORITHM
64 #include <algorithm>
65 #else
66 int std_sort_int (const void * a, const void * b)
67 {
68 return ( *(int*)a - *(int*)b );
69 }
70 #endif
71
72 #include <limits.h>
73
74 // By default, the table used to accelerate cluster fit on 4 color blocks uses a 969x128 entry table.
75 // To reduce the executable size, set RGBCX_USE_SMALLER_TABLES to 1, which selects the smaller 969x32 entry table.
76 #ifndef RGBCX_USE_SMALLER_TABLES
77 #define RGBCX_USE_SMALLER_TABLES 1
78 #endif
79
80 namespace rgbcx
81 {
82 enum class bc1_approx_mode
83 {
84 // The default mode. No rounding for 4-color colors 2,3. My older tools/compressors use this mode.
85 // This matches the D3D10 docs on BC1.
86 cBC1Ideal = 0,
87
88 // NVidia GPU mode.
89 cBC1NVidia = 1,
90
91 // AMD GPU mode.
92 cBC1AMD = 2,
93
94 // This mode matches AMD Compressonator's output. It rounds 4-color colors 2,3 (not 3-color color 2).
95 // This matches the D3D9 docs on DXT1.
96 cBC1IdealRound4 = 3
97 };
98
99 // init() MUST be called once before using the BC1 encoder.
100 // This function may be called multiple times to change the BC1 approximation mode.
101 // This function initializes global state, so don't call it while other threads inside the encoder.
102 // Important: If you encode textures for a specific vendor's GPU's, beware that using that texture data on other GPU's may result in ugly artifacts.
103 // Encode to cBC1Ideal unless you know the texture data will only be deployed or used on a specific vendor's GPU.
104 void init(bc1_approx_mode mode = bc1_approx_mode::cBC1Ideal);
105
106 // Optimally encodes a solid color block to BC1 format.
107 void encode_bc1_solid_block(void* pDst, uint32_t fr, uint32_t fg, uint32_t fb, bool allow_3color);
108
109 // BC1 low-level API encoder flags. You can ignore this if you use the simple level API.
110 enum
111 {
112 // Try to improve quality using the most likely total orderings.
113 // The total_orderings_to_try parameter will then control the number of total orderings to try for 4 color blocks, and the
114 // total_orderings_to_try3 parameter will control the number of total orderings to try for 3 color blocks (if they are enabled).
115 cEncodeBC1UseLikelyTotalOrderings = 2,
116
117 // Use 2 least squares pass, instead of one (same as stb_dxt's HIGHQUAL option).
118 // Recommended if you're enabling cEncodeBC1UseLikelyTotalOrderings.
119 cEncodeBC1TwoLeastSquaresPasses = 4,
120
121 // cEncodeBC1Use3ColorBlocksForBlackPixels allows the BC1 encoder to use 3-color blocks for blocks containing black or very dark pixels.
122 // You shader/engine MUST ignore the alpha channel on textures encoded with this flag.
123 // Average quality goes up substantially for my 100 texture corpus (~.5 dB), so it's worth using if you can.
124 // Note the BC1 encoder does not actually support transparency in 3-color mode.
125 // Don't set when encoding to BC3.
126 cEncodeBC1Use3ColorBlocksForBlackPixels = 8,
127
128 // If cEncodeBC1Use3ColorBlocks is set, the encoder can use 3-color mode for a small but noticeable gain in average quality, but lower perf.
129 // If you also specify the cEncodeBC1UseLikelyTotalOrderings flag, set the total_orderings_to_try3 paramter to the number of total orderings to try.
130 // Don't set when encoding to BC3.
131 cEncodeBC1Use3ColorBlocks = 16,
132
133 // cEncodeBC1Iterative will greatly increase encode time, but is very slightly higher quality.
134 // Same as squish's iterative cluster fit option. Not really worth the tiny boost in quality, unless you just don't care about perf. at all.
135 cEncodeBC1Iterative = 32,
136
137 // cEncodeBC1BoundingBox enables a fast all-integer PCA approximation on 4-color blocks.
138 // At level 0 options (no other flags), this is ~15% faster, and higher *average* quality.
139 cEncodeBC1BoundingBox = 64,
140
141 // Use a slightly lower quality, but ~30% faster MSE evaluation function for 4-color blocks.
142 cEncodeBC1UseFasterMSEEval = 128,
143
144 // Examine all colors to compute selectors/MSE (slower than default)
145 cEncodeBC1UseFullMSEEval = 256,
146
147 // Use 2D least squares+inset+optimal rounding (the method used in Humus's GPU texture encoding demo), instead of PCA.
148 // Around 18% faster, very slightly lower average quality to better (depends on the content).
149 cEncodeBC1Use2DLS = 512,
150
151 // Use 6 power iterations vs. 4 for PCA.
152 cEncodeBC1Use6PowerIters = 2048,
153
154 // Check all total orderings - *very* slow. The encoder is not designed to be used in this way.
155 cEncodeBC1Exhaustive = 8192,
156
157 // Try 2 different ways of choosing the initial endpoints.
158 cEncodeBC1TryAllInitialEndponts = 16384,
159
160 // Same as cEncodeBC1BoundingBox, but implemented using integer math (faster, slightly less quality)
161 cEncodeBC1BoundingBoxInt = 32768,
162
163 // Try refining the final endpoints by examining nearby colors.
164 cEncodeBC1EndpointSearchRoundsShift = 22,
165 cEncodeBC1EndpointSearchRoundsMask = 1023U << cEncodeBC1EndpointSearchRoundsShift,
166 };
167
168 const uint32_t MIN_TOTAL_ORDERINGS = 1;
169 const uint32_t MAX_TOTAL_ORDERINGS3 = 32;
170
171 #if RGBCX_USE_SMALLER_TABLES
172 const uint32_t MAX_TOTAL_ORDERINGS4 = 32;
173 #else
174 const uint32_t MAX_TOTAL_ORDERINGS4 = 128;
175 #endif
176
177 // DEFAULT_TOTAL_ORDERINGS_TO_TRY is around 3x faster than libsquish at slightly higher average quality. 10-16 is a good range to start to compete against libsquish.
178 const uint32_t DEFAULT_TOTAL_ORDERINGS_TO_TRY = 10;
179
180 const uint32_t DEFAULT_TOTAL_ORDERINGS_TO_TRY3 = 1;
181
182 // Encodes a 4x4 block of RGBX (X=ignored) pixels to BC1 format.
183 // This is the simplified interface for BC1 encoding, which accepts a level parameter and converts that to the best overall flags.
184 // The pixels are in RGBA format, where R is first in memory. The BC1 encoder completely ignores the alpha channel (i.e. there is no punchthrough alpha support).
185 // This is the recommended function to use for BC1 encoding, becuase it configures the encoder for you in the best possible way (on average).
186 // Note that the 3 color modes won't be used at all until level 5 or higher.
187 // No transparency supported, however if you set use_transparent_texels_for_black to true the encocer will use transparent selectors on very dark/black texels to reduce MSE.
188 const uint32_t MIN_LEVEL = 0, MAX_LEVEL = 18;
189 void encode_bc1(uint32_t level, void* pDst, const uint8_t* pPixels, bool allow_3color, bool use_transparent_texels_for_black);
190
191 // Low-level interface for BC1 encoding.
192 // Always returns a 4 color block, unless cEncodeBC1Use3ColorBlocksForBlackPixels or cEncodeBC1Use3ColorBlock flags are specified.
193 // total_orderings_to_try controls the perf. vs. quality tradeoff on 4-color blocks when the cEncodeBC1UseLikelyTotalOrderings flag is used. It must range between [MIN_TOTAL_ORDERINGS, MAX_TOTAL_ORDERINGS4].
194 // total_orderings_to_try3 controls the perf. vs. quality tradeoff on 3-color bocks when the cEncodeBC1UseLikelyTotalOrderings and the cEncodeBC1Use3ColorBlocks flags are used. Valid range is [0,MAX_TOTAL_ORDERINGS3] (0=disabled).
195 void encode_bc1(void* pDst, const uint8_t* pPixels, uint32_t flags = 0, uint32_t total_orderings_to_try = DEFAULT_TOTAL_ORDERINGS_TO_TRY, uint32_t total_orderings_to_try3 = DEFAULT_TOTAL_ORDERINGS_TO_TRY3);
196
197 // Encodes a 4x4 block of RGBA pixels to BC3 format.
198 // There are two encode_bc3() functions.
199 // The first is the recommended function, which accepts a level parameter.
200 // The second is a low-level version that allows fine control over BC1 encoding.
201 void encode_bc3(uint32_t level, void* pDst, const uint8_t* pPixels);
202 void encode_bc3(void* pDst, const uint8_t* pPixels, uint32_t flags = 0, uint32_t total_orderings_to_try = DEFAULT_TOTAL_ORDERINGS_TO_TRY);
203
204 // Encodes a single channel to BC4.
205 // stride is the source pixel stride in bytes.
206 void encode_bc4(void* pDst, const uint8_t* pPixels, uint32_t stride = 4);
207
208 // Encodes two channels to BC5.
209 // chan0/chan1 control which channels, stride is the source pixel stride in bytes.
210 void encode_bc5(void* pDst, const uint8_t* pPixels, uint32_t chan0 = 0, uint32_t chan1 = 1, uint32_t stride = 4);
211
212 // Decompression functions.
213
214 // Returns true if the block uses 3 color punchthrough alpha mode.
215 bool unpack_bc1(const void* pBlock_bits, void* pPixels, bool set_alpha = true, bc1_approx_mode mode = bc1_approx_mode::cBC1Ideal);
216
217 void unpack_bc4(const void* pBlock_bits, uint8_t* pPixels, uint32_t stride = 4);
218
219 // Returns true if the block uses 3 color punchthrough alpha mode.
220 bool unpack_bc3(const void* pBlock_bits, void* pPixels, bc1_approx_mode mode = bc1_approx_mode::cBC1Ideal);
221
222 void unpack_bc5(const void* pBlock_bits, void* pPixels, uint32_t chan0 = 0, uint32_t chan1 = 1, uint32_t stride = 4);
223 }
224 #endif // #ifndef RGBCX_INCLUDE_H
225
226 #ifdef RGBCX_IMPLEMENTATION
227 namespace rgbcx
228 {
229 const uint32_t NUM_UNIQUE_TOTAL_ORDERINGS4 = 969;
230
231 // All total orderings for 16 pixels 2-bit selectors.
232 // BC1 selector order 0, 2, 3, 1 (i.e. the selectors are reordered into linear order).
233 static uint8_t g_unique_total_orders4[NUM_UNIQUE_TOTAL_ORDERINGS4][4] =
234 {
235 {0,8,2,6},{4,3,9,0},{4,8,1,3},{12,0,3,1},{11,3,2,0},{6,4,6,0},{7,5,0,4},{6,0,8,2},{1,0,0,15},{3,0,8,5},{1,1,13,1},{13,1,2,0},{0,14,1,1},{0,15,1,0},{0,13,0,3},{16,0,0,0},{4,3,4,5},{8,6,0,2},{0,10,0,6},{10,0,4,2},{7,2,1,6},{4,7,5,0},{1,4,7,4},{0,14,2,0},{2,7,2,5},{9,0,5,2},{9,2,2,3},{10,0,5,1},{2,3,7,4},{4,9,0,3},{1,5,0,10},{1,1,6,8},
236 {6,6,4,0},{11,5,0,0},{11,2,0,3},{4,0,10,2},{2,3,10,1},{1,13,1,1},{0,14,0,2},{2,3,3,8},{12,3,1,0},{14,0,0,2},{9,1,3,3},{6,4,0,6},{1,1,5,9},{5,9,0,2},{2,10,1,3},{12,0,0,4},{4,6,6,0},{0,6,4,6},{3,7,4,2},{0,13,3,0},{3,10,0,3},{10,2,1,3},{1,12,1,2},{2,0,13,1},{11,0,5,0},{12,1,3,0},{6,4,5,1},{10,4,2,0},{3,6,1,6},{7,3,6,0},{10,4,0,2},{10,0,2,4},
237 {0,5,9,2},{0,9,3,4},{6,4,2,4},{3,4,7,2},{3,3,5,5},{4,2,9,1},{6,2,8,0},{3,5,3,5},{4,10,1,1},{10,1,3,2},{5,7,0,4},{5,3,7,1},{6,8,1,1},{8,8,0,0},{11,1,0,4},{14,1,0,1},{9,3,2,2},{8,2,1,5},{0,0,2,14},{3,3,9,1},{10,1,5,0},{8,3,1,4},{1,5,8,2},{6,1,9,0},{3,2,1,10},{3,11,1,1},{7,6,3,0},{9,0,3,4},{5,2,5,4},{0,2,3,11},{15,0,0,1},{0,6,6,4},
238 {3,4,9,0},{4,7,0,5},{0,4,4,8},{0,13,2,1},{2,4,1,9},{3,2,5,6},{10,6,0,0},{3,5,6,2},{8,0,4,4},{1,3,6,6},{7,7,0,2},{6,1,4,5},{0,11,1,4},{2,2,8,4},{0,1,2,13},{15,0,1,0},{7,2,6,1},{8,1,7,0},{1,8,4,3},{2,13,1,0},{1,0,7,8},{14,2,0,0},{1,8,1,6},{9,3,3,1},{0,0,7,9},{4,4,1,7},{9,0,6,1},{10,2,4,0},{1,7,3,5},{0,3,8,5},{5,2,4,5},{1,2,5,8},
239 {0,8,7,1},{10,3,2,1},{12,0,4,0},{2,1,4,9},{5,2,2,7},{1,9,3,3},{15,1,0,0},{6,3,4,3},{9,5,0,2},{1,6,9,0},{6,6,0,4},{13,2,1,0},{5,1,8,2},{0,5,11,0},{7,1,0,8},{1,2,12,1},{0,3,3,10},{7,4,2,3},{5,1,4,6},{7,0,3,6},{3,12,0,1},{3,4,5,4},{1,10,0,5},{7,4,3,2},{10,5,0,1},{13,3,0,0},{2,5,4,5},{3,10,1,2},{5,1,2,8},{14,0,1,1},{1,5,4,6},{1,4,5,6},
240 {2,3,11,0},{11,0,4,1},{11,2,2,1},{5,3,8,0},{1,3,10,2},{0,1,13,2},{3,1,4,8},{4,2,4,6},{1,5,6,4},{2,1,11,2},{1,2,9,4},{4,7,3,2},{6,2,5,3},{7,2,2,5},{8,1,4,3},{3,2,8,3},{12,1,0,3},{7,8,1,0},{7,0,2,7},{5,10,0,1},{0,2,14,0},{2,9,3,2},{7,0,0,9},{11,1,4,0},{10,4,1,1},{2,2,9,3},{5,7,2,2},{1,3,1,11},{13,2,0,1},{4,2,8,2},{2,3,1,10},{4,2,5,5},
241 {7,0,7,2},{10,0,0,6},{0,8,5,3},{4,4,0,8},{12,4,0,0},{0,1,14,1},{8,0,1,7},{5,1,5,5},{11,0,3,2},{0,4,1,11},{0,8,8,0},{0,2,5,9},{7,3,2,4},{7,8,0,1},{1,0,3,12},{7,4,5,0},{1,6,7,2},{7,6,1,2},{9,6,1,0},{12,2,0,2},{4,1,6,5},{4,0,1,11},{8,4,4,0},{13,0,1,2},{8,6,2,0},{4,12,0,0},{2,7,5,2},{2,0,5,9},{5,4,5,2},{3,8,5,0},{7,3,3,3},{4,4,8,0},
242 {2,1,3,10},{5,0,1,10},{6,4,3,3},{4,9,1,2},{1,4,0,11},{11,3,1,1},{4,0,12,0},{13,0,0,3},{6,1,6,3},{9,0,4,3},{8,0,0,8},{8,4,0,4},{0,12,1,3},{0,4,10,2},{3,4,8,1},{1,3,8,4},{9,2,5,0},{5,7,4,0},{1,0,11,4},{4,10,0,2},{1,3,12,0},{6,9,0,1},{5,0,9,2},{5,9,2,0},{13,1,0,2},{9,3,4,0},{9,4,0,3},{3,1,12,0},{2,4,3,7},{1,2,13,0},{2,2,4,8},{6,8,0,2},
243 {9,2,1,4},{9,5,1,1},{2,0,4,10},{5,4,0,7},{0,0,6,10},{1,2,0,13},{4,7,2,3},{6,5,5,0},{3,3,1,9},{1,6,1,8},{12,2,1,1},{4,4,5,3},{1,0,6,9},{0,6,10,0},{4,8,3,1},{4,3,2,7},{2,1,7,6},{1,9,1,5},{3,1,3,9},{8,7,1,0},{1,2,3,10},{14,1,1,0},{5,4,4,3},{3,7,0,6},{7,4,1,4},{3,7,5,1},{1,1,0,14},{0,10,3,3},{0,4,3,9},{1,7,7,1},{2,0,10,4},{5,8,0,3},
244 {6,7,3,0},{0,8,4,4},{5,7,3,1},{7,9,0,0},{7,6,2,1},{0,4,5,7},{6,3,5,2},{1,2,1,12},{5,2,0,9},{8,5,0,3},{4,6,1,5},{1,1,7,7},{10,5,1,0},{1,2,8,5},{1,8,2,5},{5,1,0,10},{6,9,1,0},{13,0,2,1},{8,3,5,0},{6,3,6,1},{2,11,3,0},{3,7,3,3},{1,5,2,8},{7,5,2,2},{0,6,7,3},{13,1,1,1},{5,3,4,4},{7,2,7,0},{5,8,3,0},{3,13,0,0},{0,7,9,0},{8,0,3,5},
245 {1,3,7,5},{4,0,2,10},{12,0,1,3},{1,7,6,2},{3,9,0,4},{7,2,0,7},{0,1,7,8},{2,1,8,5},{0,13,1,2},{0,8,1,7},{5,0,11,0},{5,6,2,3},{0,3,0,13},{2,3,4,7},{5,6,3,2},{4,2,10,0},{3,3,7,3},{7,2,5,2},{1,1,11,3},{12,3,0,1},{5,1,1,9},{1,15,0,0},{9,7,0,0},{9,1,2,4},{0,7,3,6},{3,0,13,0},{3,0,11,2},{0,6,5,5},{8,2,2,4},{6,10,0,0},{4,8,4,0},{0,0,3,13},
246 {0,4,12,0},{7,1,6,2},{3,5,0,8},{8,0,6,2},{6,2,3,5},{2,10,0,4},{4,11,0,1},{6,1,5,4},{5,1,3,7},{0,11,3,2},{4,6,0,6},{2,6,0,8},{3,1,7,5},{2,14,0,0},{2,9,2,3},{0,3,4,9},{11,0,1,4},{13,0,3,0},{8,3,0,5},{0,5,3,8},{5,11,0,0},{0,1,4,11},{2,1,9,4},{3,4,4,5},{7,1,2,6},{12,2,2,0},{9,4,1,2},{6,0,2,8},{4,6,2,4},{11,2,3,0},{3,2,2,9},{10,3,1,2},
247 {1,1,2,12},{0,5,2,9},{0,1,11,4},{6,2,4,4},{2,8,2,4},{0,9,4,3},{11,0,2,3},{0,2,11,3},{6,0,7,3},{0,3,6,7},{4,5,5,2},{1,2,6,7},{7,5,1,3},{9,0,2,5},{2,6,4,4},{4,1,9,2},{4,8,2,2},{1,12,3,0},{0,9,6,1},{0,10,6,0},{3,1,5,7},{2,13,0,1},{2,2,1,11},{3,6,0,7},{5,6,5,0},{5,5,4,2},{4,0,3,9},{3,4,1,8},{0,11,2,3},{2,12,1,1},{7,1,3,5},{7,0,9,0},
248 {8,0,8,0},{1,0,2,13},{3,3,10,0},{2,4,4,6},{2,3,8,3},{1,10,5,0},{7,3,0,6},{2,9,0,5},{1,4,6,5},{6,6,3,1},{5,6,0,5},{6,3,0,7},{3,10,2,1},{2,5,5,4},{3,8,4,1},{1,14,0,1},{10,3,3,0},{3,5,7,1},{1,1,3,11},{2,4,0,10},{9,3,1,3},{5,10,1,0},{3,0,6,7},{3,1,9,3},{11,2,1,2},{5,3,3,5},{0,5,1,10},{4,1,11,0},{10,2,0,4},{7,6,0,3},{2,7,0,7},{4,2,2,8},
249 {6,1,7,2},{4,9,2,1},{0,0,8,8},{3,7,2,4},{9,6,0,1},{0,12,4,0},{6,7,1,2},{0,7,2,7},{1,0,10,5},{0,0,14,2},{2,7,3,4},{5,0,0,11},{7,7,1,1},{6,2,7,1},{4,5,3,4},{3,5,1,7},{5,9,1,1},{6,2,1,7},{3,2,0,11},{0,11,0,5},{3,11,2,0},{10,1,4,1},{7,0,4,5},{11,4,0,1},{10,3,0,3},{0,2,4,10},{0,15,0,1},{0,11,5,0},{6,7,2,1},{1,12,2,1},{4,1,3,8},{1,0,13,2},
250 {1,8,5,2},{7,0,1,8},{3,12,1,0},{9,2,4,1},{1,7,4,4},{11,4,1,0},{4,3,8,1},{2,8,4,2},{1,11,3,1},{1,1,4,10},{4,10,2,0},{8,2,5,1},{1,0,9,6},{5,3,2,6},{0,9,7,0},{10,2,2,2},{5,8,1,2},{8,7,0,1},{0,3,12,1},{1,0,1,14},{4,8,0,4},{3,8,0,5},{4,6,5,1},{0,9,5,2},{10,2,3,1},{2,3,9,2},{1,0,12,3},{11,3,0,2},{4,5,2,5},{0,2,12,2},{9,1,0,6},{9,2,0,5},
251 {1,2,7,6},{4,7,4,1},{0,12,2,2},{0,0,0,16},{2,8,3,3},{3,6,2,5},{0,6,3,7},{7,5,4,0},{3,3,3,7},{3,3,0,10},{5,0,6,5},{0,0,10,6},{8,5,3,0},{8,1,5,2},{6,0,9,1},{11,1,2,2},{2,11,2,1},{9,5,2,0},{3,0,4,9},{2,2,12,0},{2,6,6,2},{2,1,13,0},{6,0,5,5},{2,0,14,0},{2,11,1,2},{4,4,7,1},{2,0,11,3},{3,1,1,11},{2,9,4,1},{3,7,6,0},{14,0,2,0},{1,10,4,1},
252 {8,0,7,1},{3,6,5,2},{0,3,11,2},{2,5,6,3},{11,1,3,1},{6,5,3,2},{3,8,1,4},{0,2,7,7},{2,10,2,2},{1,6,2,7},{11,0,0,5},{12,1,1,2},{12,1,2,1},{0,7,1,8},{0,3,9,4},{0,2,1,13},{7,1,4,4},{10,1,0,5},{4,0,8,4},{5,2,7,2},{0,2,0,14},{4,3,7,2},{2,7,1,6},{1,2,2,11},{6,3,3,4},{1,14,1,0},{2,4,6,4},{5,3,6,2},{5,3,5,3},{8,4,1,3},{1,3,0,12},{3,5,2,6},
253 {1,8,7,0},{0,7,4,5},{2,1,6,7},{4,11,1,0},{7,2,4,3},{6,1,3,6},{4,5,4,3},{2,11,0,3},{1,5,7,3},{12,0,2,2},{5,0,4,7},{1,13,0,2},{7,7,2,0},{4,1,7,4},{4,5,0,7},{5,0,5,6},{6,5,4,1},{2,4,2,8},{1,10,1,4},{6,3,1,6},{3,3,8,2},{0,7,7,2},{4,4,2,6},{1,1,8,6},{1,12,0,3},{2,1,12,1},{1,9,2,4},{1,11,0,4},{2,5,2,7},{10,0,3,3},{4,6,3,3},{3,7,1,5},
254 {1,9,0,6},{7,1,7,1},{1,6,5,4},{9,2,3,2},{6,2,2,6},{2,2,2,10},{8,3,3,2},{0,1,8,7},{2,0,8,6},{0,3,1,12},{9,4,2,1},{9,4,3,0},{6,2,6,2},{1,8,0,7},{5,1,10,0},{0,5,5,6},{8,2,4,2},{2,3,2,9},{6,0,3,7},{2,2,6,6},{2,6,2,6},{1,13,2,0},{9,3,0,4},{7,3,5,1},{6,5,2,3},{5,2,6,3},{2,0,12,2},{5,7,1,3},{8,1,3,4},{3,1,10,2},{1,0,15,0},{0,8,0,8},
255 {5,0,7,4},{4,4,6,2},{0,1,0,15},{10,0,1,5},{7,3,4,2},{4,9,3,0},{2,5,7,2},{3,4,2,7},{8,3,2,3},{5,1,6,4},{0,10,2,4},{6,6,1,3},{6,0,0,10},{4,4,3,5},{1,3,9,3},{7,5,3,1},{3,0,7,6},{1,8,6,1},{4,3,0,9},{3,11,0,2},{6,0,6,4},{0,1,3,12},{0,4,2,10},{5,5,6,0},{4,1,4,7},{8,1,6,1},{5,6,4,1},{8,4,2,2},{4,3,1,8},{3,0,2,11},{1,11,4,0},{0,8,3,5},
256 {5,1,7,3},{7,0,8,1},{4,3,5,4},{4,6,4,2},{3,2,4,7},{1,6,3,6},{0,7,8,1},{3,0,1,12},{9,1,4,2},{7,4,0,5},{1,7,0,8},{5,4,1,6},{9,1,5,1},{1,1,9,5},{4,1,1,10},{5,3,0,8},{2,2,5,7},{4,0,0,12},{9,0,7,0},{3,4,0,9},{0,2,6,8},{8,2,0,6},{3,2,6,5},{4,2,6,4},{3,6,4,3},{2,8,6,0},{5,0,3,8},{0,4,0,12},{0,16,0,0},{0,9,2,5},{4,0,11,1},{1,6,4,5},
257 {0,1,6,9},{3,4,6,3},{3,0,10,3},{7,0,6,3},{1,4,9,2},{1,5,3,7},{8,5,2,1},{0,12,0,4},{7,2,3,4},{0,5,6,5},{11,1,1,3},{6,5,0,5},{2,1,5,8},{1,4,11,0},{9,1,1,5},{0,0,13,3},{5,8,2,1},{2,12,0,2},{3,3,6,4},{4,1,10,1},{4,0,5,7},{8,1,0,7},{5,1,9,1},{4,3,3,6},{0,2,2,12},{6,3,2,5},{0,0,12,4},{1,5,1,9},{2,6,5,3},{3,6,3,4},{2,12,2,0},{1,6,8,1},
258 {10,1,1,4},{1,3,4,8},{7,4,4,1},{1,11,1,3},{1,2,10,3},{3,9,3,1},{8,5,1,2},{2,10,4,0},{4,2,0,10},{2,7,6,1},{8,2,3,3},{1,5,5,5},{3,1,0,12},{3,10,3,0},{8,0,5,3},{0,6,8,2},{0,3,13,0},{0,0,16,0},{1,9,4,2},{4,1,8,3},{1,6,6,3},{0,10,5,1},{0,1,12,3},{4,0,6,6},{3,8,3,2},{0,5,4,7},{1,0,14,1},{0,4,6,6},{3,9,1,3},{3,5,8,0},{3,6,6,1},{5,4,7,0},
259 {3,0,12,1},{8,6,1,1},{2,9,5,0},{6,1,1,8},{4,1,2,9},{3,9,4,0},{5,2,9,0},{0,12,3,1},{1,4,10,1},{4,0,7,5},{3,1,2,10},{5,4,2,5},{5,5,5,1},{4,2,3,7},{1,7,5,3},{2,8,0,6},{8,1,2,5},{3,8,2,3},{6,1,2,7},{3,9,2,2},{9,0,0,7},{0,8,6,2},{8,4,3,1},{0,2,8,6},{6,5,1,4},{2,3,5,6},{2,10,3,1},{0,7,0,9},{4,2,7,3},{2,4,8,2},{7,1,1,7},{2,4,7,3},
260 {2,4,10,0},{0,1,10,5},{4,7,1,4},{0,10,4,2},{9,0,1,6},{1,9,6,0},{3,3,4,6},{4,5,7,0},{5,5,2,4},{2,8,1,5},{2,3,6,5},{0,1,1,14},{3,2,3,8},{10,1,2,3},{9,1,6,0},{3,4,3,6},{2,2,0,12},{0,0,9,7},{4,0,9,3},{7,0,5,4},{4,5,6,1},{2,5,1,8},{2,5,9,0},{3,5,4,4},{1,3,11,1},{7,1,5,3},{3,2,7,4},{1,4,2,9},{1,11,2,2},{2,2,3,9},{5,0,10,1},{3,2,11,0},
261 {1,10,3,2},{8,3,4,1},{3,6,7,0},{0,7,5,4},{1,3,3,9},{2,2,10,2},{1,9,5,1},{0,5,0,11},{3,0,3,10},{0,4,8,4},{2,7,7,0},{2,0,2,12},{1,2,11,2},{6,3,7,0},{0,6,2,8},{0,10,1,5},{0,9,0,7},{6,4,4,2},{6,0,1,9},{1,5,10,0},{5,4,6,1},{5,5,3,3},{0,0,4,12},{0,3,2,11},{1,4,1,10},{3,0,9,4},{5,5,0,6},{1,7,8,0},{2,0,3,11},{6,4,1,5},{10,0,6,0},{0,6,0,10},
262 {0,4,11,1},{3,1,6,6},{2,5,8,1},{0,2,10,4},{3,1,11,1},{6,6,2,2},{1,1,10,4},{2,1,2,11},{6,1,8,1},{0,2,13,1},{0,7,6,3},{6,8,2,0},{3,0,0,13},{4,4,4,4},{6,2,0,8},{7,3,1,5},{0,11,4,1},{6,7,0,3},{2,6,3,5},{5,2,1,8},{7,1,8,0},{5,5,1,5},{1,8,3,4},{8,2,6,0},{6,0,10,0},{5,6,1,4},{1,4,4,7},{2,7,4,3},{1,4,8,3},{5,4,3,4},{1,10,2,3},{2,9,1,4},
263 {2,2,11,1},{2,5,0,9},{0,0,1,15},{0,0,11,5},{0,4,7,5},{0,1,15,0},{2,1,0,13},{0,3,10,3},{8,0,2,6},{3,3,2,8},{3,5,5,3},{1,7,1,7},{1,3,2,10},{4,0,4,8},{2,0,9,5},{1,1,1,13},{2,2,7,5},{2,1,10,3},{4,2,1,9},{4,3,6,3},{1,3,5,7},{2,5,3,6},{1,0,8,7},{5,0,2,9},{2,8,5,1},{1,6,0,9},{0,0,5,11},{0,4,9,3},{2,0,7,7},{1,7,2,6},{2,1,1,12},{2,4,9,1},
264 {0,5,7,4},{6,0,4,6},{3,2,10,1},{0,6,1,9},{2,6,1,7},{0,5,8,3},{4,1,0,11},{1,2,4,9},{4,1,5,6},{6,1,0,9},{1,4,3,8},{4,5,1,6},{1,0,5,10},{5,3,1,7},{0,9,1,6},{2,0,1,13},{2,0,6,8},{8,1,1,6},{1,5,9,1},{0,6,9,1},{0,3,5,8},{0,2,9,5},{5,2,8,1},{1,1,14,0},{3,2,9,2},{5,0,8,3},{0,5,10,1},{5,2,3,6},{2,6,7,1},{2,3,0,11},{0,1,9,6},{1,0,4,11},
265 {3,0,5,8},{0,0,15,1},{2,4,5,5},{0,3,7,6},{2,0,0,14},{1,1,12,2},{2,6,8,0},{3,1,8,4},{0,1,5,10}
266 };
267
268 // All total orderings for 16 pixels [0,2] 2-bit selectors.
269 // BC1 selector order: 0, 1, 2
270 // Note this is different from g_unique_total_orders4[], which reorders the selectors into linear order.
271 const uint32_t NUM_UNIQUE_TOTAL_ORDERINGS3 = 153;
272 static uint8_t g_unique_total_orders3[NUM_UNIQUE_TOTAL_ORDERINGS3][3] =
273 {
274 {6,0,10},{3,6,7},{3,0,13},{13,3,0},{12,4,0},{9,1,6},{2,13,1},{4,7,5},{7,5,4},{9,6,1},{7,4,5},{8,6,2},{16,0,0},{10,6,0},{2,7,7},
275 {0,0,16},{0,3,13},{1,15,0},{0,2,14},{1,4,11},{15,1,0},{1,12,3},{9,2,5},{14,1,1},{8,2,6},{3,3,10},{4,2,10},{14,0,2},{0,14,2},{1,7,8},{6,6,4},
276 {11,5,0},{6,4,6},{11,3,2},{4,3,9},{7,1,8},{10,4,2},{12,1,3},{11,0,5},{9,3,4},{1,0,15},{9,0,7},{2,6,8},{12,2,2},{6,2,8},{6,8,2},{15,0,1},
277 {4,8,4},{0,4,12},{8,5,3},{5,9,2},{11,2,3},{12,3,1},{6,3,7},{1,1,14},{2,9,5},{1,8,7},{4,10,2},{7,7,2},{13,1,2},{0,15,1},{3,2,11},{7,0,9},
278 {4,4,8},{3,8,5},{0,5,11},{13,2,1},{1,10,5},{4,11,1},{3,10,3},{5,10,1},{10,2,4},{0,6,10},{14,2,0},{11,4,1},{3,12,1},{1,13,2},{1,5,10},{5,11,0},
279 {12,0,4},{8,1,7},{6,10,0},{3,13,0},{7,2,7},{0,7,9},{5,8,3},{0,12,4},{11,1,4},{13,0,3},{0,16,0},{5,7,4},{10,3,3},{10,0,6},{0,13,3},{4,6,6},
280 {2,8,6},{2,5,9},{7,8,1},{2,1,13},{2,0,14},{7,3,6},{5,1,10},{3,11,2},{5,4,7},{8,3,5},{10,5,1},{6,9,1},{1,3,12},{4,5,7},{2,2,12},{4,1,11},
281 {0,8,8},{4,12,0},{6,5,5},{8,7,1},{5,5,6},{3,7,6},{7,9,0},{4,9,3},{0,10,6},{8,0,8},{5,3,8},{10,1,5},{6,1,9},{7,6,3},{9,5,2},{0,1,15},
282 {9,7,0},{2,14,0},{3,4,9},{8,4,4},{9,4,3},{0,9,7},{1,9,6},{3,9,4},{5,2,9},{2,3,11},{5,6,5},{1,14,1},{6,7,3},{2,4,10},{2,12,2},{8,8,0},
283 {2,10,4},{4,0,12},{0,11,5},{2,11,3},{1,11,4},{3,5,8},{5,0,11},{3,1,12},{1,2,13},{1,6,9}
284 };
285
286 // For each total ordering, this table indicates which other total orderings are likely to improve quality using a least squares pass. Each array is sorted by usefulness.
287 static uint16_t g_best_total_orderings4[NUM_UNIQUE_TOTAL_ORDERINGS4][MAX_TOTAL_ORDERINGS4] =
288 {
289 #if RGBCX_USE_SMALLER_TABLES
290 { 202,120,13,318,15,23,403,450,5,51,260,128,77,21,33,494,515,523,4,141,269,1,2,700,137,49,48,102,7,64,753,82 },
291 { 13,141,23,217,115,51,77,2,64,21,0,4,5,317,137,269,202,33,318,7,291,352,9,10,3,180,32,6,365,102,341,349 },
292 { 29,58,262,1,52,74,6,171,5,287,151,334,27,500,75,26,331,223,53,635,220,19,50,45,46,17,14,396,163,409,324,70 },
293 { 40,51,33,453,14,23,62,56,12,196,730,475,153,99,403,775,117,130,585,34,4,17,162,11,139,57,102,38,108,47,123,440 },
294 { 33,23,51,13,102,64,202,128,12,40,15,196,153,10,1,2,77,99,141,0,515,5,117,3,120,403,700,165,22,14,269,453 },
295 { 13,23,51,4,77,141,202,33,115,64,32,128,0,11,177,40,15,102,2,217,7,137,269,21,90,59,515,1,180,403,22,6 },
296 { 26,235,19,47,648,624,78,145,27,112,122,64,444,6,630,453,25,42,65,130,711,85,390,113,416,108,665,29,730,138,644,95 },
297 { 64,141,352,751,217,247,237,437,177,269,86,954,947,875,32,318,95,77,304,92,597,180,232,291,128,864,349,588,372,202,312,1 },
298 { 642,898,180,638,901,341,82,197,10,951,15,515,165,762,700,253,811,753,752,365,143,479,244,569,8,110,351,873,55,31,499,116 },
299 { 221,23,51,125,438,254,13,21,39,49,308,656,0,115,530,159,158,401,30,166,912,386,165,688,518,9,105,627,424,22,421,33 },
300 { 143,31,1,44,197,8,180,125,116,55,13,498,23,341,638,242,93,15,2,141,0,901,752,115,36,206,165,479,338,365,515,762 },
301 { 12,23,51,13,14,15,37,99,515,38,700,117,2,196,134,153,753,64,54,33,128,120,21,0,328,5,139,82,453,719,457,1 },
302 { 13,15,23,515,961,700,457,753,51,115,4,165,197,2,38,569,1,474,0,37,99,719,5,12,629,14,11,3,33,77,64,10 },
303 { 15,515,700,753,1,0,2,4,3,23,134,12,961,5,10,197,11,33,82,120,457,51,165,7,6,341,217,21,77,9,40,180 },
304 { 13,51,23,457,719,961,730,401,165,453,0,117,386,15,134,1,758,153,12,54,515,99,11,2,700,5,753,4,308,33,6,899 },
305 { 134,898,82,117,13,33,77,102,23,260,341,351,120,901,197,153,961,111,196,110,180,457,854,10,450,8,165,40,4,115,0,365 },
306 { 60,18,126,167,35,16,191,71,24,92,121,271,68,107,212,146,118,150,199,7,21,1,9,575,727,5,566,48,0,132,108,273 },
307 { 62,136,129,123,128,41,162,17,249,211,214,789,618,710,38,678,248,507,57,64,152,269,119,3,177,183,597,106,4,179,216,90 },
308 { 403,523,51,475,494,453,817,899,202,23,450,13,421,120,102,730,33,128,4,1,805,5,7,153,757,260,318,196,77,457,326,65 },
309 { 4,59,3,62,12,33,56,193,27,21,102,17,40,77,76,84,32,0,6,123,119,177,128,11,18,611,605,25,13,51,73,210 },
310 { 43,20,319,422,414,945,0,7,819,61,5,376,325,173,804,904,470,693,97,707,14,49,22,104,147,107,95,32,426,1,330,577 },
311 { 13,23,51,2,0,115,4,141,217,33,10,77,1,15,64,180,3,515,7,6,22,102,11,5,40,9,165,700,202,197,317,341 },
312 { 28,49,0,105,1,24,65,159,35,55,95,239,16,2,109,7,9,14,170,320,347,168,424,158,10,301,124,5,67,21,64,36 },
313 { 15,515,700,753,0,1,13,2,117,4,12,10,5,165,457,3,9,134,11,7,6,51,77,64,961,82,33,197,14,341,120,141 },
314 { 7,71,14,149,97,18,60,16,150,92,398,189,140,124,24,273,35,2,69,302,154,68,0,336,517,43,66,28,118,251,230,1 },
315 { 4,102,33,77,40,59,11,624,210,12,128,342,5,503,91,139,64,32,25,494,202,678,416,0,403,275,21,450,196,318,523,177 },
316 { 25,19,42,6,122,813,256,235,85,26,436,53,297,573,680,390,445,63,27,416,80,233,65,73,389,283,45,605,194,17,250,343 },
317 { 402,102,202,128,33,300,403,23,12,77,40,21,342,117,483,99,25,494,6,4,63,32,84,569,139,757,475,318,19,26,196,134 },
318 { 158,9,0,109,39,49,65,22,35,168,55,24,68,124,159,16,185,344,333,154,254,272,175,289,1,577,95,28,105,810,30,169 },
319 { 197,180,115,237,498,165,2,5,287,546,400,3,61,34,509,13,297,80,341,52,45,186,58,881,23,873,468,176,64,17,311,250 },
320 { 120,968,373,260,704,110,450,202,137,318,77,95,269,326,217,717,661,652,851,349,93,1,518,98,827,291,21,177,82,33,848,719 },
321 { 44,116,144,268,434,489,367,384,98,127,918,93,948,31,206,940,855,0,203,137,9,22,617,141,332,105,393,492,959,282,299,131 },
322 { 13,77,23,33,51,0,64,141,102,4,2,115,1,6,202,15,10,128,269,7,177,180,3,40,22,11,515,217,117,318,700,137 },
323 { 15,515,700,753,4,11,141,40,165,23,64,180,13,202,32,3,51,125,5,197,21,128,0,93,77,1,120,82,269,117,110,59 },
324 { 176,231,585,62,34,14,412,161,56,236,527,57,17,3,51,202,4,23,369,283,128,13,472,440,84,361,136,457,381,130,719,53 },
325 { 9,0,180,217,237,101,141,352,88,100,230,64,175,317,115,498,68,39,30,1,702,83,213,36,365,208,752,13,252,321,952,546 },
326 { 28,9,22,1,49,0,109,39,83,95,86,30,13,105,128,55,141,168,158,67,31,159,208,12,96,5,185,2,160,64,137,23 },
327 { 72,4,38,12,51,89,477,11,57,76,401,308,23,474,99,148,413,179,59,13,431,152,54,569,17,3,205,629,197,421,405,15 },
328 { 457,13,23,961,15,51,515,700,165,12,753,629,11,1,719,117,0,3,2,37,569,197,40,328,33,5,153,134,99,64,38,196 },
329 { 254,100,310,9,30,1,39,625,166,265,190,0,272,557,131,731,31,98,578,688,404,93,101,88,49,21,127,264,44,36,252,478 },
330 { 51,23,12,13,15,128,99,120,10,202,515,153,64,82,700,33,165,2,5,117,403,1,141,0,3,196,37,453,753,197,260,93 },
331 { 38,99,542,139,453,117,196,23,457,13,328,111,37,134,961,11,12,51,40,775,587,401,474,54,153,477,41,629,33,475,14,277 },
332 { 6,85,25,233,343,91,26,63,138,29,19,65,283,4,81,235,42,122,605,64,648,256,174,370,74,389,718,59,45,194,445,416 },
333 { 49,5,97,20,197,21,18,193,0,64,408,729,173,350,43,422,165,7,14,104,61,32,509,713,523,102,120,95,125,397,35,232 },
334 { 144,116,268,434,384,489,367,206,93,855,940,44,98,332,617,127,959,911,137,282,203,31,22,219,141,9,131,276,417,0,1,120 },
335 { 17,106,64,62,32,255,136,292,476,162,129,241,123,141,41,237,720,214,209,352,519,211,186,148,752,247,507,90,21,77,197,119 },
336 { 2,29,52,50,5,58,14,6,27,1,366,357,45,53,17,19,171,151,26,181,133,38,218,764,287,583,61,113,3,487,600,281 },
337 { 130,59,196,412,381,730,711,236,77,210,202,402,453,99,401,108,361,803,291,283,153,4,57,51,128,183,14,719,503,117,23,11 },
338 { 13,23,51,141,77,4,33,64,115,0,217,10,180,202,2,102,11,9,15,165,40,21,128,352,22,7,197,3,317,515,269,1 },
339 { 23,13,202,51,120,15,21,5,141,1,128,269,137,515,64,102,125,48,98,33,260,523,318,93,700,165,450,77,2,12,403,82 },
340 { 1,2,14,46,29,67,38,52,5,171,58,24,103,69,96,70,83,181,54,75,163,223,16,45,112,309,155,0,186,35,18,108 },
341 { 15,515,700,753,13,0,1,2,153,5,23,10,117,3,9,7,134,165,12,6,341,33,4,14,77,457,115,21,719,180,217,82 },
342 { 197,165,509,13,391,180,308,115,23,546,5,498,2,29,3,401,901,61,34,80,14,457,250,569,237,873,38,297,45,15,468,386 },
343 { 19,73,27,250,200,714,444,472,26,53,34,17,813,322,283,390,128,297,78,123,432,14,436,136,106,690,57,122,389,80,503,3 },
344 { 3,17,21,45,62,32,38,12,155,14,2,328,5,99,401,536,828,13,227,488,106,51,719,119,540,76,165,221,115,629,209,41 },
345 { 115,341,873,197,365,13,901,180,569,752,317,1,10,498,143,634,261,0,509,15,943,237,44,31,116,601,165,127,282,23,141,64 },
346 { 453,51,23,403,33,421,475,102,15,153,196,515,13,700,117,523,12,40,753,21,4,134,0,494,670,899,22,801,730,10,11,401 },
347 { 23,13,51,33,12,117,153,134,453,196,15,99,515,40,14,700,128,102,11,753,77,64,403,202,0,401,475,37,65,2,3,38 },
348 { 2,7,5,14,70,1,29,61,52,45,6,112,66,16,21,32,592,46,38,135,87,58,186,315,290,128,113,0,64,48,227,23 },
349 { 33,23,102,51,128,13,64,202,141,1,77,10,153,40,196,117,2,3,0,5,15,269,403,12,137,134,318,165,120,6,453,99 },
350 { 16,92,7,20,43,35,126,71,60,14,107,18,68,97,0,121,279,149,24,246,191,48,118,575,55,140,362,783,230,150,375,566 },
351 { 13,23,4,33,77,64,51,102,141,128,32,10,0,202,40,115,59,22,90,11,177,21,291,6,7,318,180,117,137,2,95,165 },
352 { 507,162,129,41,4,211,62,38,123,59,57,248,183,130,99,11,3,361,202,17,402,556,266,305,803,210,128,184,152,136,313,117 },
353 { 643,123,193,650,802,18,25,389,718,256,65,289,84,91,619,511,415,90,235,63,57,510,324,216,862,102,6,183,108,397,217,736 },
354 { 13,23,15,1,515,51,0,2,700,5,753,165,141,115,12,3,4,180,21,197,457,7,6,10,120,9,33,202,77,32,8,11 },
355 { 23,51,13,453,64,403,12,21,5,202,128,475,165,141,523,95,125,115,3,1,4,730,120,32,2,494,180,719,457,197,450,401 },
356 { 204,74,135,66,6,174,192,7,138,172,85,353,348,580,280,97,95,500,29,64,426,32,87,889,65,81,25,2,52,43,568,673 },
357 { 35,0,68,69,24,9,1,16,65,103,149,133,18,114,28,50,83,2,189,7,46,14,101,336,175,124,251,55,71,218,38,238 },
358 { 16,101,0,118,9,18,24,68,35,154,71,124,60,212,191,520,55,806,694,167,28,39,364,375,1,346,252,65,604,302,22,21 },
359 { 0,9,16,35,1,24,68,18,65,21,103,67,13,149,28,189,71,23,101,238,114,7,335,133,486,141,22,212,48,50,30,118 },
360 { 13,202,23,77,33,51,128,5,21,141,115,32,102,64,4,0,318,269,10,15,291,2,494,177,11,217,3,515,22,137,6,700 },
361 { 16,92,60,35,7,18,24,68,150,149,14,71,0,375,97,126,118,107,230,191,246,273,140,55,175,653,9,575,2,28,566,517 },
362 { 76,90,21,179,316,148,205,32,464,288,184,257,245,1,89,2,460,57,152,45,38,358,645,5,12,449,350,48,37,17,4,14 },
363 { 19,27,26,813,80,297,17,495,436,53,73,200,4,378,250,59,106,25,45,128,361,42,113,469,122,390,77,40,736,6,11,136 },
364 { 6,26,235,138,19,145,112,70,331,262,25,42,52,624,27,453,122,47,500,78,648,85,29,2,630,632,409,113,50,226,108,75 },
365 { 7,16,14,24,92,35,18,2,46,9,60,140,0,87,50,5,54,13,12,38,171,23,126,21,58,64,1,70,128,71,220,163 },
366 { 90,205,257,184,32,179,460,5,245,45,2,288,769,524,57,21,152,229,17,1,497,4,292,59,619,452,432,76,476,11,266,14 },
367 { 15,515,700,753,4,5,11,141,13,1,33,3,0,128,202,23,180,21,2,64,269,32,117,134,120,40,102,318,153,17,137,352 },
368 { 47,130,711,108,453,412,730,196,390,283,78,27,51,183,381,236,128,200,719,14,153,472,503,34,59,250,3,4,57,803,123,432 },
369 { 12,277,51,474,111,153,23,99,13,37,961,94,629,542,569,431,79,139,38,134,117,453,33,188,196,40,115,15,11,157,401,515 },
370 { 17,495,469,106,26,378,80,27,161,483,19,742,527,436,383,862,73,136,53,814,297,6,119,84,62,56,25,3,209,611,4,128 },
371 { 81,681,636,91,0,750,370,104,718,138,18,693,173,784,29,397,348,74,192,673,174,65,6,207,64,280,306,52,671,32,355,319 },
372 { 15,515,700,753,33,77,4,102,115,117,40,13,1,153,134,11,5,217,23,196,2,21,3,317,32,365,0,341,291,59,12,51 },
373 { 0,9,28,35,68,1,65,67,101,39,69,175,16,238,13,22,96,124,18,24,251,30,55,12,23,2,50,141,114,5,154,103 },
374 { 23,33,77,13,117,40,11,102,64,4,51,403,153,453,10,0,196,134,128,65,12,291,86,99,95,59,15,141,202,180,137,719 },
375 { 214,90,289,6,874,64,25,65,235,42,751,249,256,312,194,85,746,875,174,32,525,288,519,835,247,348,233,544,217,524,437,352 },
376 { 1,22,2,0,36,67,28,5,49,95,12,50,168,83,105,55,7,9,14,194,103,23,114,21,584,46,10,13,38,69,208,159 },
377 { 269,141,13,202,33,180,318,77,291,137,102,352,128,23,349,51,31,217,372,317,125,197,44,21,11,5,901,1,18,0,4,494 },
378 { 435,144,274,88,203,418,30,1,190,410,96,778,100,530,521,326,466,795,686,166,960,321,382,264,367,822,131,31,692,9,213,93 },
379 { 76,72,90,21,37,179,12,205,32,428,148,38,308,405,4,413,57,184,749,245,316,221,54,645,288,1,152,155,464,257,2,14 },
380 { 77,33,64,102,13,141,23,2,40,1,51,10,0,115,6,180,202,128,4,3,177,269,15,7,22,165,291,14,217,318,137,11 },
381 { 397,81,4,32,65,788,693,804,681,11,249,21,91,64,690,494,3,0,422,56,348,725,194,123,23,59,523,319,61,510,95,90 },
382 { 60,126,16,7,92,121,314,246,35,107,150,132,14,146,24,18,199,298,232,71,359,140,672,97,392,649,5,423,95,21,22,388 },
383 { 15,515,141,217,115,700,13,23,120,317,753,180,33,260,110,137,341,51,1,365,4,77,64,202,0,40,36,352,197,269,10,21 },
384 { 111,134,117,474,23,13,961,12,569,431,37,15,51,115,515,700,277,99,753,38,197,405,457,4,72,94,629,45,11,89,54,148 },
385 { 23,13,51,5,1,15,2,21,12,202,141,0,515,165,120,32,4,64,700,3,115,197,269,125,753,7,9,128,6,180,453,403 },
386 { 13,141,4,23,5,2,115,217,202,51,180,137,269,352,77,1,317,3,21,318,0,15,9,64,10,197,11,341,33,515,752,7 },
387 { 165,125,197,13,391,21,23,558,48,380,97,120,298,33,14,426,66,115,32,386,900,180,6,98,357,237,326,509,51,278,221,457 },
388 { 120,82,15,260,515,1,351,77,450,700,13,21,141,23,753,202,217,93,110,33,51,854,5,128,326,102,137,180,817,48,269,352 },
389 { 23,13,15,51,515,700,961,753,0,457,1,2,4,115,10,453,569,5,33,165,11,719,14,40,64,197,3,21,474,629,38,401 },
390 { 264,166,39,30,9,100,435,254,93,921,190,363,1,625,411,382,897,656,203,478,404,812,438,110,473,88,18,691,156,141,274,272 },
391 { 9,0,252,100,166,39,101,265,364,68,88,329,520,18,419,676,118,167,404,604,16,1,21,30,212,158,553,49,382,274,48,13 },
392 { 15,515,700,753,4,11,141,5,3,13,202,1,180,21,2,165,269,23,40,64,0,318,12,32,128,51,77,117,523,197,120,457 },
393 { 24,1,2,69,35,16,67,18,14,50,0,46,68,9,38,7,133,71,83,149,28,108,189,218,65,114,238,29,75,54,5,96 },
394 { 90,289,214,64,874,13,77,712,66,751,4,23,51,192,32,0,202,194,312,177,33,65,234,104,875,288,59,5,835,416,102,95 },
395 { 0,9,49,127,98,31,301,28,371,159,1,395,512,737,158,761,916,623,16,44,242,39,170,18,293,105,24,272,101,22,23,385 },
396 { 17,62,136,214,123,129,32,292,119,209,710,106,141,162,128,64,45,4,77,249,11,618,211,3,207,130,519,183,38,177,21,269 },
397 { 5,107,581,356,279,32,441,362,493,660,13,298,0,534,49,147,21,22,132,121,97,423,7,590,259,683,14,786,126,508,60,246 },
398 { 51,13,15,730,453,23,515,719,386,457,12,700,403,475,899,1,6,523,753,421,99,401,165,33,2,19,361,5,0,670,120,27 },
399 { 49,28,9,159,272,22,254,131,158,327,95,105,0,39,35,168,347,286,374,55,65,627,424,912,68,578,1,24,239,175,688,169 },
400 { 15,515,700,33,753,4,77,141,341,317,1,10,13,180,102,22,40,117,115,365,5,901,23,197,134,11,217,351,64,82,21,137 },
401 { 134,15,13,515,23,700,12,753,51,474,37,961,197,10,457,569,4,0,99,2,115,38,165,153,94,3,139,11,1,82,33,5 },
402 { 7,2,20,58,5,14,128,66,6,29,32,43,21,52,16,38,631,61,74,97,46,135,113,25,202,192,13,0,884,45,112,87 },
403 { 77,13,33,202,23,128,102,4,141,342,117,0,269,318,134,22,11,21,32,153,403,291,49,64,137,51,40,15,494,5,196,98 },
404 { 2,1,14,6,46,38,29,65,5,36,67,0,103,7,22,86,133,50,108,208,52,83,24,323,283,69,28,18,10,25,23,75 },
405 { 15,515,700,753,1,5,4,2,3,13,0,11,180,341,12,33,10,197,134,365,77,23,21,901,6,117,165,7,37,32,17,102 },
406 { 203,268,206,93,417,940,31,8,120,137,44,499,959,473,202,692,728,559,0,260,10,326,141,564,817,127,341,1,450,22,110,23 },
407 { 15,82,515,120,700,0,10,753,33,8,64,165,110,31,260,93,13,197,23,22,40,4,351,44,77,9,11,153,102,51,1,196 },
408 { 60,0,16,7,14,43,20,71,28,10,2,22,154,18,13,24,92,1,51,576,35,615,805,925,68,126,124,149,97,64,23,55 },
409 { 19,6,26,80,5,84,27,17,25,2,504,129,45,240,56,123,4,119,618,1,76,106,64,51,14,3,128,65,32,710,0,42 },
410 { 15,515,700,753,13,4,77,23,33,51,0,5,8,10,11,31,44,1,82,22,202,64,110,102,93,21,291,40,141,180,9,49 },
411 { 195,98,271,223,132,167,146,407,1,360,121,834,393,591,212,199,293,259,522,107,354,147,156,191,807,590,48,18,125,16,765,541 },
412 { 128,202,77,210,402,318,33,102,6,40,403,29,342,269,196,757,99,139,2,111,42,4,494,117,275,300,13,12,678,0,177,122 },
413 { 13,33,23,40,51,102,4,117,77,64,134,0,128,153,202,196,453,11,15,12,1,22,403,141,59,14,10,475,515,65,700,95 },
414 { 7,16,14,24,18,2,28,0,92,71,1,22,6,35,60,20,168,10,154,118,5,302,124,69,97,109,703,158,420,12,149,66 },
415 { 15,1,515,23,0,13,700,2,51,753,180,5,120,165,197,21,115,4,33,9,141,7,12,6,3,457,386,202,260,523,8,31 },
416 { 60,107,121,132,146,126,199,279,150,92,16,649,441,35,955,7,21,0,423,5,18,195,598,298,493,356,32,653,22,362,953,10 },
417 { 31,44,98,276,284,299,116,935,9,201,0,131,39,127,144,662,1,137,371,492,567,489,93,254,49,268,22,28,30,293,434,737 },
418 { 13,15,23,515,700,0,1,51,753,4,2,10,77,202,5,115,3,165,197,457,9,12,11,961,33,120,22,141,180,7,6,40 },
419 { 123,162,184,257,17,183,229,130,129,3,84,136,99,152,556,383,57,497,12,205,4,62,56,452,80,266,128,14,40,119,27,106 },
420 { 196,33,117,40,153,23,134,13,51,102,453,0,15,475,12,14,515,2,22,700,4,21,753,64,401,670,730,1,9,11,10,99 },
421 { 224,219,187,131,258,385,442,871,836,31,98,908,44,574,127,944,137,839,116,36,613,1,254,39,926,160,829,96,93,371,860,827 },
422 { 121,195,156,132,146,360,590,407,786,522,883,591,259,929,626,941,150,687,5,55,296,379,467,178,586,465,279,21,1,13,60,354 },
423 { 2,1,14,29,6,5,46,52,38,19,114,75,26,65,108,96,25,50,36,70,103,309,17,236,218,74,12,86,0,3,10,112 },
424 { 15,515,82,700,120,753,10,0,8,197,260,165,351,64,13,110,117,93,31,1,9,33,22,23,457,44,450,77,102,898,40,49 },
425 { 7,66,97,2,172,74,226,52,29,135,192,232,43,324,92,5,38,20,222,14,6,568,87,107,353,620,580,16,138,174,448,32 },
426 { 62,129,123,162,136,249,618,183,507,57,4,152,17,59,11,184,117,77,3,128,211,41,130,205,12,40,33,106,64,229,38,313 },
427 { 1,13,15,2,4,515,23,0,3,115,700,5,51,77,341,141,753,180,33,217,197,202,901,6,21,165,11,365,318,317,10,102 },
428 { 6,26,235,19,145,47,112,78,64,27,453,95,29,444,25,624,85,108,648,70,32,130,74,42,711,630,632,138,65,122,113,730 },
429 { 23,51,12,15,13,99,515,153,117,10,700,37,120,82,165,2,753,64,128,0,403,3,5,1,134,197,453,31,202,457,110,21 },
430 { 16,24,18,71,64,35,92,7,246,146,9,108,60,118,199,5,140,2,267,0,230,830,32,133,1,68,50,330,247,563,36,12 },
431 { 15,515,700,753,0,1,13,2,23,3,4,217,51,5,115,8,9,180,341,10,7,6,317,77,33,372,901,197,365,11,120,165 },
432 { 234,639,178,202,77,142,5,455,450,49,416,0,147,427,198,21,315,329,13,318,325,557,120,344,113,259,22,128,61,105,23,494 },
433 { 1,31,36,44,141,180,55,2,64,22,98,116,13,352,0,115,10,127,5,164,253,498,237,165,341,197,4,86,15,170,125,23 },
434 { 15,120,13,141,23,260,217,515,1,77,51,110,180,700,317,82,269,137,115,202,21,753,64,5,351,291,0,450,352,93,36,326 },
435 { 26,6,112,396,19,145,25,122,648,287,42,74,624,222,416,45,138,66,644,151,113,651,29,573,64,280,445,27,525,85,70,58 },
436 { 156,360,5,146,121,21,271,522,354,132,49,13,18,195,16,340,60,591,446,586,727,0,107,407,167,48,1,463,199,566,32,23 },
437 { 5,61,49,147,178,612,660,120,21,182,23,427,259,683,33,4,77,70,13,3,376,98,64,0,481,344,48,595,291,263,141,51 },
438 { 89,79,468,179,358,205,94,405,115,498,72,180,365,431,37,111,341,734,188,317,482,217,11,4,245,152,413,216,12,474,490,752 },
439 { 24,16,35,68,18,71,7,92,0,108,9,14,118,101,336,175,375,302,28,124,154,55,149,60,398,1,65,2,140,273,345,230 },
440 { 51,730,421,801,453,386,23,523,13,475,719,401,670,365,899,403,115,457,758,165,33,494,450,6,423,805,629,56,569,514,958,388 },
441 { 113,45,6,311,29,2,151,614,145,491,112,80,5,27,61,74,315,66,209,631,19,25,58,17,73,26,1,243,70,64,611,287 },
442 { 4,339,188,471,11,59,79,12,377,94,99,33,77,102,51,111,37,152,13,961,474,542,40,342,3,23,128,403,202,177,184,57 },
443 { 15,4,515,11,700,33,82,40,0,120,753,10,8,110,13,93,23,165,77,260,64,31,22,51,44,102,351,1,125,9,197,21 },
444 { 16,24,18,0,35,68,28,71,124,118,60,7,9,55,14,92,109,101,419,175,22,252,154,375,149,302,158,346,2,49,1,126 },
445 { 17,45,227,21,106,3,2,243,209,5,48,32,221,62,207,50,29,186,290,270,263,52,14,496,400,119,46,255,54,430,38,721 },
446 { 340,354,586,658,156,195,698,668,1,296,9,18,883,363,447,379,303,98,411,13,31,163,51,5,371,48,919,846,121,21,360,70 },
447 { 277,153,111,12,23,51,474,99,38,37,139,117,41,457,79,453,542,13,11,33,134,157,629,188,961,14,196,401,102,569,15,94 },
448 { 0,18,16,159,49,24,9,105,35,68,7,28,22,1,60,344,55,101,109,2,14,158,13,23,71,118,455,286,272,424,5,327 },
449 { 0,105,9,49,16,18,158,28,518,24,101,320,1,68,170,301,272,127,7,286,35,890,109,39,159,98,21,344,31,55,371,23 },
450 { 141,1,180,15,13,2,365,217,515,352,317,115,341,0,4,5,269,700,23,21,3,752,197,77,753,51,31,901,10,202,8,64 },
451 { 4,23,51,33,19,17,102,153,485,880,40,403,196,26,300,453,27,117,78,0,12,200,47,5,11,14,342,99,53,77,475,2 },
452 { 62,184,56,440,130,229,183,3,556,152,99,162,12,266,17,548,136,57,305,161,123,14,452,4,383,403,257,34,40,84,33,139 },
453 { 13,23,77,141,64,202,33,51,269,115,0,102,21,4,217,128,5,32,318,137,291,9,15,2,180,10,3,317,177,515,7,6 },
454 { 1,22,36,105,170,0,86,2,31,28,239,64,55,5,10,98,9,44,127,95,654,67,301,143,13,12,49,23,320,141,83,21 },
455 { 15,515,700,753,0,1,13,2,23,901,5,8,51,82,9,180,457,4,7,12,3,6,10,120,341,141,22,898,197,351,115,260 },
456 { 1,39,274,98,100,265,190,30,438,310,166,223,88,96,909,31,264,625,530,9,382,812,21,252,593,0,254,539,44,131,23,778 },
457 { 18,212,167,118,363,1,447,411,146,60,271,16,781,121,647,9,621,562,21,478,664,68,815,5,354,98,48,101,24,446,777,463 },
458 { 24,28,22,0,7,1,2,16,14,65,35,49,158,95,109,159,55,105,10,18,124,9,67,5,239,149,12,289,108,68,21,424 },
459 { 105,22,131,272,286,98,55,239,1,31,320,9,127,327,36,185,28,374,86,219,0,64,187,44,578,164,224,913,535,115,601,13 },
460 { 22,31,28,301,127,98,44,0,105,1,512,395,9,293,109,299,95,338,239,125,242,116,36,320,55,841,900,685,599,23,13,763 },
461 { 2,1,58,29,5,14,52,46,186,334,45,155,151,50,400,75,38,69,502,61,48,227,223,7,163,17,262,67,549,21,70,113 },
462 { 7,107,135,232,97,14,2,92,66,16,172,192,278,387,298,356,38,35,448,52,46,43,60,29,20,126,324,526,357,359,64,5 },
463 { 20,43,104,426,173,7,560,414,707,784,319,81,0,861,422,819,38,74,715,52,376,97,879,32,330,22,49,64,66,95,192,526 },
464 { 104,74,636,66,204,0,355,81,222,25,29,319,145,784,20,65,90,4,174,194,7,64,6,746,138,173,750,715,91,43,192,32 },
465 { 0,9,101,35,68,39,65,28,252,124,67,154,364,336,100,166,30,1,289,55,149,346,16,114,158,88,439,24,429,22,570,194 },
466 { 57,14,4,231,236,585,176,59,369,23,361,13,719,51,300,342,12,457,56,3,62,38,202,401,34,46,2,322,11,215,210,507 },
467 { 1,2,15,3,141,0,515,5,33,700,13,64,77,180,6,128,753,10,4,269,102,202,11,7,134,197,352,120,117,318,12,291 },
468 { 5,1,21,202,13,32,48,23,0,61,259,22,494,120,70,49,51,18,137,128,465,12,178,115,2,453,403,141,58,3,90,450 },
469 { 141,205,4,72,59,79,245,11,352,94,152,76,247,216,21,188,452,217,497,12,89,37,111,339,588,77,64,875,864,115,358,464 },
470 { 15,515,700,753,0,1,2,13,5,4,23,3,8,341,365,51,115,10,120,457,6,141,77,197,31,7,165,9,202,450,961,260 },
471 { 5,2,50,14,58,38,171,46,29,1,45,186,17,52,155,218,48,281,61,487,54,36,67,21,328,334,151,227,760,114,400,133 },
472 { 457,120,70,125,318,64,23,48,795,291,202,761,751,415,77,846,269,758,21,237,96,260,391,165,87,1,128,5,221,13,137,763 },
473 { 13,23,51,33,4,40,117,102,453,64,153,196,0,77,15,11,12,475,1,65,134,10,515,22,21,14,700,59,403,141,2,753 },
474 { 229,152,57,266,452,381,432,12,313,184,99,471,17,4,62,339,157,3,129,59,128,11,369,37,77,38,40,123,5,497,188,257 },
475 { 49,28,109,22,159,9,272,95,105,131,55,35,254,168,39,327,169,0,1,286,175,374,347,158,420,67,36,194,312,424,627,346 },
476 { 5,2,61,29,45,58,80,311,1,17,209,227,52,243,106,869,454,151,592,496,48,334,14,155,6,186,46,171,75,21,255,667 },
477 { 244,44,110,141,260,30,269,352,839,131,574,228,373,276,1,406,219,717,217,137,253,224,120,93,36,31,567,116,661,187,341,88 },
478 { 12,99,79,139,11,453,196,51,277,474,111,23,542,37,94,188,33,13,401,775,40,961,313,102,4,339,153,485,629,134,300,431 },
479 { 16,35,9,0,68,24,149,69,67,18,1,114,65,230,71,7,103,133,50,167,212,118,101,191,140,64,399,28,124,283,55,565 },
480 { 88,30,274,435,131,613,190,100,93,829,166,1,187,795,530,127,382,957,960,160,31,137,466,264,39,800,406,254,28,473,521,219 },
481 { 167,16,18,118,212,24,60,71,101,68,191,9,375,411,363,35,0,1,589,199,302,21,447,55,146,126,92,271,647,121,562,48 },
482 { 64,141,86,177,77,128,147,597,304,95,269,102,275,4,352,49,120,5,372,194,465,13,588,237,947,216,202,180,612,751,107,534 },
483 { 18,65,90,403,523,289,240,214,194,102,701,475,202,217,283,862,389,51,33,0,494,421,453,817,84,64,847,899,352,13,23,437 },
484 { 13,51,23,202,5,12,21,128,15,115,0,1,141,120,64,32,4,2,515,403,165,457,3,10,700,99,453,318,719,450,308,401 },
485 { 98,223,393,31,1,271,834,791,167,44,202,64,93,697,5,116,77,125,450,446,212,18,541,293,51,120,195,132,284,13,807,765 },
486 { 15,515,700,753,4,11,23,13,40,51,82,165,0,110,93,33,141,64,120,5,10,77,3,102,180,32,202,125,8,197,31,21 },
487 { 15,515,700,753,0,1,13,2,901,23,5,341,3,51,82,8,4,180,961,9,115,10,12,6,898,7,351,141,134,22,31,120 },
488 { 234,416,77,5,315,639,325,202,147,198,113,49,450,61,455,142,0,21,22,342,329,494,178,58,102,427,318,230,13,120,43,470 },
489 { 60,146,16,18,156,126,121,271,199,360,132,24,167,0,640,10,71,522,21,92,5,340,107,354,118,150,22,195,446,35,28,212 },
490 { 4,361,11,14,56,368,377,161,27,12,300,77,59,200,17,554,202,33,40,494,495,21,210,80,757,25,128,23,19,38,444,53 },
491 { 141,82,217,351,15,352,120,1,180,260,515,64,854,36,700,317,752,372,13,269,77,753,922,21,349,23,202,110,93,137,51,373 },
492 { 15,515,700,753,77,13,0,1,23,33,102,2,51,4,3,5,291,217,10,9,450,120,341,7,317,6,11,117,115,8,260,180 },
493 { 15,515,120,13,700,23,77,141,1,260,0,753,180,51,137,202,115,365,110,291,217,5,128,9,21,341,197,269,2,450,317,165 },
494 { 174,6,348,85,138,74,280,204,66,233,192,355,289,65,81,580,636,353,25,91,104,343,673,214,64,95,42,712,792,32,194,90 },
495 { 152,497,452,59,4,216,11,79,94,77,128,188,269,339,588,33,76,529,318,32,141,471,12,202,111,21,5,51,37,90,72,177 },
496 { 417,499,10,141,253,244,110,559,8,564,180,260,728,120,352,638,642,341,951,206,143,752,901,93,137,661,922,373,44,31,811,197 },
497 { 13,77,23,33,4,51,0,102,128,59,141,40,64,115,177,10,137,22,202,2,7,11,90,1,117,180,269,14,49,6,134,3 },
498 { 1,2,22,0,36,5,67,50,14,28,12,86,38,46,83,168,194,65,103,114,49,7,10,95,21,69,23,24,128,51,55,13 },
499 { 17,106,119,207,255,306,742,378,84,62,136,45,3,5,240,80,61,56,209,383,311,790,655,32,2,440,76,151,58,29,179,263 },
500 { 3,128,1,141,2,202,33,5,64,15,0,515,102,13,269,10,700,180,134,51,120,6,77,318,23,137,17,117,753,197,82,153 },
501 { 514,38,377,328,11,57,41,248,880,266,556,4,152,361,471,757,485,403,305,102,3,211,313,99,457,130,12,14,157,40,23,54 },
502 { 68,0,167,101,9,118,264,520,16,18,21,478,562,1,124,212,100,936,664,777,191,88,806,154,48,24,759,604,35,252,265,65 },
503 { 230,689,699,213,466,352,217,831,30,443,418,144,854,201,840,855,1,251,203,317,530,957,96,93,822,539,36,752,351,137,83,800 },
504 { 33,77,102,117,15,82,13,134,23,64,0,515,120,153,51,4,40,128,700,260,202,141,196,22,753,11,351,10,1,326,95,269 },
505 { 11,40,33,51,117,13,542,328,14,134,38,153,23,12,485,231,102,54,775,37,3,377,111,139,211,4,457,403,369,475,99,719 },
506 { 33,64,77,128,141,2,1,202,102,13,23,117,0,15,3,153,51,134,10,40,6,5,515,269,137,180,318,165,700,7,196,753 },
507 { 15,515,700,753,4,1,5,11,13,21,33,180,93,141,64,2,23,77,82,3,0,102,32,40,352,341,10,197,98,110,117,901 },
508 { 1,2,14,67,50,46,38,24,103,83,0,5,36,28,29,133,114,96,65,52,18,75,54,108,22,7,238,58,160,9,361,69 },
509 { 258,201,276,137,160,860,116,261,295,843,567,144,131,44,187,268,943,219,284,31,202,935,141,98,662,203,127,96,36,93,224,1 },
510 { 7,2,14,16,46,87,75,52,92,278,29,38,140,70,1,5,35,294,24,262,135,69,171,172,58,409,112,60,50,66,97,12 },
511 { 13,23,0,2,51,1,33,4,115,10,15,141,77,3,5,180,217,515,9,7,64,11,700,6,102,40,197,22,317,753,165,202 },
512 { 74,145,6,66,25,204,42,29,222,337,138,26,7,525,192,174,746,287,544,135,415,2,609,632,112,64,87,0,85,45,712,396 },
513 { 77,33,102,15,217,13,23,141,202,515,51,700,291,4,269,753,317,180,21,64,318,115,128,0,275,2,352,196,3,5,137,11 },
514 { 187,219,258,871,44,442,160,574,137,224,908,116,839,131,36,926,276,201,93,228,202,860,31,613,144,531,406,1,902,30,190,318 },
515 { 1,372,141,5,21,77,225,744,96,30,23,349,13,291,269,284,69,442,459,144,303,839,217,622,160,330,260,48,120,410,189,352 },
516 { 66,222,2,74,29,87,135,6,7,145,52,25,294,337,226,172,138,331,42,70,97,112,26,1,632,192,43,5,415,609,461,353 },
517 { 45,17,106,209,5,2,21,29,48,207,3,186,243,155,255,263,454,119,400,496,270,14,290,62,425,1,171,32,659,52,38,56 },
518 { 93,88,141,120,30,213,260,373,100,717,459,82,110,1,166,450,180,321,217,372,36,269,131,225,22,352,326,466,473,187,244,410 },
519 { 266,57,152,381,313,471,12,229,99,369,339,62,157,3,4,37,77,38,188,17,11,162,40,184,129,59,475,775,128,452,403,453 },
520 { 217,352,317,141,752,15,180,515,372,365,700,341,753,349,77,21,291,1,115,244,64,120,13,98,269,82,5,498,864,351,23,144 },
521 { 14,514,369,102,403,377,51,719,880,153,23,13,457,11,485,4,401,12,328,453,33,40,117,57,629,38,730,236,134,670,361,961 },
522 { 107,7,172,14,92,135,2,359,60,314,46,16,126,278,232,150,279,32,38,392,298,5,35,97,24,192,259,288,330,52,356,312 },
523 { 0,4,25,13,59,90,65,23,26,19,18,12,5,216,91,51,389,33,77,11,22,85,27,81,21,177,746,45,42,194,37,123 },
524 { 5,49,315,202,416,77,455,639,450,21,197,137,350,13,408,0,329,318,494,344,61,402,64,509,347,120,113,48,95,713,308,401 },
525 { 130,47,381,390,59,90,200,214,289,6,65,472,29,64,874,648,50,751,624,26,52,32,4,194,875,714,85,249,247,33,881,19 },
526 { 51,23,453,13,719,12,457,165,37,730,99,4,386,197,401,17,11,2,3,15,5,961,475,6,515,64,54,700,32,115,0,403 },
527 { 15,515,1,13,700,2,23,0,753,5,3,180,51,4,165,12,141,21,197,457,7,115,6,9,352,10,120,202,8,341,11,77 },
528 { 0,9,1,67,35,28,68,16,24,65,18,69,50,114,103,12,22,13,5,101,2,96,23,83,149,21,39,55,7,175,433,124 },
529 { 28,105,22,0,1,320,170,9,49,301,109,95,127,31,98,55,65,35,2,24,168,159,36,713,16,740,13,338,21,44,512,23 },
530 { 13,77,4,51,23,33,102,202,128,59,40,0,64,141,117,403,115,11,15,318,153,269,22,515,475,134,10,494,177,1,90,210 },
531 { 13,23,0,51,77,33,2,141,4,10,1,64,115,102,3,6,22,15,217,11,180,7,40,515,165,202,177,9,269,128,700,5 },
532 { 456,116,492,8,949,268,867,391,203,51,499,13,719,386,31,791,457,918,125,10,23,93,479,685,417,0,22,338,506,551,870,730 },
533 { 17,237,45,180,106,62,32,64,115,41,136,498,255,21,197,129,241,13,3,227,23,352,165,752,350,365,449,155,4,546,476,38 },
534 { 1,15,180,515,0,2,341,700,901,352,4,141,13,3,752,5,753,217,317,115,365,23,197,21,51,165,31,6,269,202,77,7 },
535 { 205,141,216,269,497,4,588,76,59,152,128,452,79,77,875,11,72,94,188,217,352,12,247,37,90,64,32,1,474,23,947,372 },
536 { 64,247,217,237,317,180,752,115,349,141,498,13,437,304,23,372,352,164,579,291,33,864,177,197,0,490,72,10,482,77,269,51 },
537 { 2,1,0,13,15,141,3,77,5,515,64,33,23,180,6,700,4,117,217,7,10,11,102,165,753,197,115,134,40,352,12,269 },
538 { 11,40,38,328,33,542,12,313,41,339,23,157,377,117,369,51,471,99,775,485,13,305,457,57,14,475,37,248,4,54,188,719 },
539 { 33,77,102,40,13,23,0,51,4,128,64,202,117,141,22,196,153,10,134,15,59,269,1,137,65,11,403,318,453,86,515,177 },
540 { 472,80,34,250,495,161,17,14,469,176,128,4,389,106,283,436,216,527,3,297,483,177,53,56,231,194,119,84,719,57,255,59 },
541 { 317,352,180,141,217,752,115,341,365,244,1,269,202,901,253,15,21,498,372,4,137,515,13,2,700,318,5,197,23,143,753,349 },
542 { 9,39,101,18,265,100,333,520,252,16,0,329,593,1,553,364,68,167,310,30,121,254,118,158,363,166,60,604,272,24,286,404 },
543 { 15,515,1,180,700,901,0,2,753,341,752,4,3,13,115,365,317,5,23,197,141,217,165,352,6,22,36,9,137,51,7,10 },
544 { 131,39,9,829,166,613,578,827,1,30,716,254,100,98,31,224,0,406,228,310,616,219,44,846,127,190,938,96,265,371,856,438 },
545 { 17,64,62,106,141,751,136,292,32,129,352,41,38,476,86,128,214,237,5,177,123,209,217,45,269,954,162,710,180,3,90,4 },
546 { 25,42,235,65,650,736,605,6,630,85,123,343,233,256,26,122,63,389,141,249,416,444,368,194,19,108,138,174,90,0,544,511 },
547 { 184,229,152,57,266,432,497,452,17,381,619,257,313,12,4,205,59,3,99,471,157,128,5,129,339,369,77,11,32,45,202,2 },
548 { 137,202,160,860,141,30,93,567,36,276,295,261,131,39,9,964,201,843,1,98,800,318,116,22,943,187,10,219,206,44,269,535 },
549 { 0,493,125,64,49,9,279,10,35,18,93,55,293,31,14,13,194,165,325,48,22,132,21,107,98,389,44,581,342,259,174,137 },
550 { 15,515,700,753,4,33,13,77,23,5,51,32,102,40,93,11,349,141,21,8,82,202,64,31,110,10,117,0,1,44,3,318 },
551 { 110,253,854,811,352,141,244,951,180,642,661,384,498,143,752,317,911,10,269,206,559,351,261,120,902,533,922,959,365,160,332,217 },
552 { 2,29,70,1,75,52,6,220,26,112,145,331,74,163,19,69,38,324,46,58,14,5,25,21,278,223,50,307,66,7,67,409 },
553 { 13,23,77,33,51,4,64,141,115,102,0,2,128,177,40,11,202,10,6,180,7,15,269,1,32,217,59,22,291,3,137,515 },
554 { 340,897,691,478,658,264,914,382,100,812,363,1,724,156,166,698,88,521,39,404,682,447,296,96,303,411,30,909,9,274,656,772 },
555 { 9,18,310,101,265,159,326,120,105,158,33,363,77,195,51,55,13,39,354,132,23,7,28,639,16,137,98,1,252,272,709,49 },
556 { 57,313,471,12,99,369,157,339,266,152,38,37,475,453,328,775,11,40,59,188,77,514,401,403,342,4,139,33,377,51,229,14 },
557 { 16,7,24,14,35,140,60,92,18,69,71,2,189,1,46,230,108,388,150,38,21,172,278,67,246,267,50,309,236,135,451,0 },
558 { 206,417,93,940,959,473,499,203,8,137,559,728,31,202,44,120,450,141,10,260,116,564,22,326,269,318,268,244,0,1,253,638 },
559 { 15,515,700,753,1,0,13,2,23,4,3,51,5,217,7,77,341,115,8,9,10,33,6,180,317,349,291,120,11,165,457,901 },
560 { 1,2,5,14,48,21,290,32,50,45,38,46,263,207,155,72,76,29,17,408,425,171,89,52,7,0,292,449,3,227,513,428 },
561 { 121,132,354,167,271,223,146,98,18,463,1,668,446,195,407,60,212,447,781,48,360,363,411,522,156,393,807,9,21,16,293,13 },
562 { 131,578,105,371,219,224,716,616,187,49,9,254,737,159,385,98,258,127,272,761,0,916,623,910,28,286,39,31,22,518,924,242 },
563 { 302,467,97,6,273,1,24,484,124,51,36,18,2,398,453,421,523,69,7,23,13,403,386,150,66,0,298,65,426,165,22,158 },
564 { 30,190,530,88,1,100,778,539,625,274,382,410,96,731,960,39,795,321,9,131,264,144,840,748,44,166,669,957,36,31,435,228 },
565 { 141,1,2,128,64,33,15,202,3,0,180,5,13,77,515,134,269,102,197,700,10,137,318,6,120,165,753,352,4,82,23,117 },
566 { 44,201,567,116,131,224,295,662,489,268,219,31,434,144,187,276,110,384,93,261,699,137,36,442,120,1,613,30,228,64,141,244 },
567 { 12,15,51,23,515,37,99,13,700,0,10,117,753,38,165,82,134,120,11,453,197,64,115,569,1,629,401,22,457,474,110,153 },
568 { 7,135,2,92,172,14,66,140,38,52,97,46,29,74,16,324,278,226,6,87,1,571,262,5,357,232,35,380,69,314,24,330 },
569 { 125,386,23,963,949,60,51,391,165,221,13,197,118,21,719,193,541,421,517,150,393,7,401,453,308,5,791,551,326,558,48,173 },
570 { 6,85,42,25,138,222,174,235,280,256,525,289,26,214,64,746,90,32,544,65,204,19,66,337,355,95,348,415,74,29,5,312 },
571 { 1,14,5,50,2,67,24,0,46,69,48,21,58,103,16,12,18,38,54,96,83,7,502,45,36,181,35,9,430,28,10,155 },
572 { 811,351,642,180,951,752,110,638,253,10,82,352,197,341,365,564,499,854,873,55,9,417,282,901,244,22,559,143,206,141,28,898 },
573 { 23,13,51,15,12,453,403,165,4,515,115,719,475,457,700,523,2,21,0,99,202,197,14,5,386,753,128,401,37,308,33,117 },
574 { 120,13,23,77,141,1,15,93,217,82,260,51,137,202,110,515,21,180,165,5,128,102,64,351,291,700,269,352,326,203,177,0 },
575 { 1,5,0,22,12,2,36,21,10,23,86,13,28,51,9,128,48,14,32,50,7,3,96,137,54,4,202,49,37,65,208,323 },
576 { 219,98,23,127,301,51,258,308,170,910,13,165,22,105,293,616,125,242,276,401,201,395,964,115,55,284,31,374,327,206,512,900 },
577 { 64,180,80,165,5,237,2,250,34,58,297,61,197,17,22,29,186,498,231,445,247,3,752,311,95,32,483,153,27,45,115,469 },
578 { 13,77,23,33,0,2,1,64,141,51,102,10,15,3,115,40,180,6,515,128,7,22,269,202,4,217,700,5,177,117,14,165 },
579 { 15,120,51,515,13,450,23,700,202,153,196,753,260,64,128,141,730,4,326,386,21,523,33,318,5,457,95,32,403,1,77,269 },
580 { 2,1,5,29,32,45,207,263,14,425,58,72,76,21,7,408,48,46,52,186,17,292,38,6,61,89,476,50,155,720,119,3 },
581 { 15,515,700,753,4,13,11,5,1,23,33,21,3,141,32,2,40,180,117,64,269,202,102,197,0,165,120,51,341,352,153,12 },
582 { 76,5,214,129,2,123,45,710,17,249,618,460,179,32,1,257,205,519,90,207,245,184,162,61,769,209,292,106,6,29,14,128 },
583 { 1,15,23,13,120,141,51,515,202,21,700,165,0,180,137,2,5,77,128,93,753,260,269,197,326,33,110,352,82,102,318,48 },
584 { 7,2,135,14,29,87,66,52,97,172,70,112,5,58,46,337,92,16,20,43,1,38,232,155,74,294,6,461,409,151,262,32 },
585 { 574,187,384,926,860,110,258,434,269,531,141,244,160,261,253,116,699,959,940,717,533,36,219,31,902,661,871,295,201,352,10,260 },
586 { 156,354,296,1,182,586,64,379,340,937,850,698,31,48,98,44,120,18,163,23,30,658,195,125,77,284,223,291,774,481,96,39 },
587 { 250,80,34,472,17,495,176,469,33,194,64,483,4,297,141,14,161,27,53,667,56,833,73,527,585,231,106,51,84,814,2,59 },
588 { 97,7,81,140,66,92,172,192,24,298,43,6,74,69,314,426,462,14,501,16,21,508,60,189,267,232,230,104,48,20,135,330 },
589 { 31,44,116,144,268,393,492,434,367,489,127,98,918,0,384,9,22,206,948,105,93,203,1,456,332,940,299,28,137,49,293,125 },
590 { 15,128,33,3,13,51,141,1,202,64,23,2,515,120,102,0,5,82,10,700,165,197,269,153,403,110,753,137,196,318,117,12 },
591 { 31,98,127,9,0,105,22,28,44,512,293,395,299,1,242,49,685,763,320,599,125,116,109,276,284,95,870,159,23,456,36,900 },
592 { 7,24,124,1,6,97,2,69,14,18,23,92,21,67,66,16,5,484,43,20,118,65,36,22,28,0,51,140,13,71,29,150 },
593 { 1,64,442,303,284,349,202,141,622,67,154,447,260,44,652,429,9,335,237,919,197,98,167,33,682,269,547,77,863,411,340,201 },
594 { 1,15,2,141,515,0,700,13,3,180,10,753,5,64,77,33,4,6,7,197,102,269,165,23,134,11,352,341,291,349,22,120 },
595 { 99,139,12,453,196,277,775,40,475,33,23,401,215,51,11,14,77,111,313,130,38,211,37,266,129,15,339,153,719,3,369,515 },
596 { 33,77,102,4,23,128,13,141,202,64,51,0,40,59,269,115,117,137,153,1,318,11,10,177,15,134,22,90,196,2,403,32 },
597 { 7,2,14,58,70,112,16,5,87,38,46,52,6,128,135,1,32,21,155,29,66,64,0,97,92,186,172,294,13,23,20,37 },
598 { 15,13,515,1,700,2,23,0,753,5,3,4,51,10,341,115,365,180,11,33,317,77,6,7,217,12,197,165,117,9,64,102 },
599 { 2,1,14,29,75,69,67,6,52,46,38,24,103,220,83,25,70,87,262,74,96,267,50,366,26,16,226,394,357,66,108,19 },
600 { 9,105,18,39,1,0,16,557,101,272,252,890,326,49,265,21,137,100,23,938,13,310,159,5,31,24,254,51,30,128,202,132 },
601 { 80,209,45,61,667,17,6,106,5,2,151,29,483,255,454,833,27,311,112,19,738,378,1,58,113,26,25,469,119,887,32,64 },
602 { 13,23,51,15,5,1,515,0,21,2,12,141,700,165,202,115,753,32,180,4,3,197,10,120,457,9,269,128,64,341,7,33 },
603 { 99,12,453,277,139,157,369,474,339,51,38,23,37,196,188,401,775,111,11,313,328,475,153,266,4,471,79,40,33,629,102,14 },
604 { 7,92,16,232,97,140,126,14,60,107,66,35,298,387,314,104,246,462,441,150,0,38,24,2,172,357,230,330,5,633,22,289 },
605 { 13,77,23,202,318,141,33,4,51,269,102,177,115,403,137,2,40,494,90,11,342,128,31,117,21,32,7,12,64,134,14,10 },
606 { 13,2,0,23,141,1,77,3,180,33,6,64,15,10,115,51,4,5,217,197,7,165,515,102,22,11,700,269,40,352,177,14 },
607 { 15,515,700,753,4,11,1,93,13,5,180,110,82,21,120,23,2,33,10,141,3,165,197,102,901,0,32,341,117,40,153,12 },
608 { 15,515,700,753,1,13,0,2,23,4,77,51,3,5,341,291,7,33,6,115,10,9,8,217,11,177,120,180,102,165,197,365 },
609 { 20,43,198,325,173,904,104,234,66,147,77,319,416,422,97,426,5,0,7,450,861,202,712,725,2,32,639,376,38,324,945,315 },
610 { 105,0,9,28,49,301,170,1,127,159,22,16,31,98,512,623,24,109,158,395,35,68,371,65,713,55,2,242,293,21,44,18 },
611 { 213,88,689,466,230,30,321,435,699,352,217,201,795,831,144,854,1,443,96,539,530,840,418,251,855,190,93,100,669,31,957,662 },
612 { 130,453,47,196,4,57,14,59,236,711,51,153,730,77,412,381,23,202,108,128,361,13,283,117,11,719,200,46,34,78,210,2 },
613 { 1,2,5,14,0,50,36,22,38,46,65,67,12,86,114,28,103,29,208,7,10,128,21,83,218,23,96,54,194,6,133,51 },
614 { 6,26,74,19,165,453,14,730,1,125,197,50,29,51,138,357,13,2,108,391,70,719,46,457,47,500,386,262,112,23,235,52 },
615 { 9,10,376,20,43,0,49,18,30,120,2,33,325,104,501,470,77,788,725,102,523,39,858,5,904,414,174,55,137,37,342,13 },
616 { 15,515,700,753,0,1,13,23,51,77,120,202,341,82,5,4,9,260,2,137,141,128,115,351,901,8,180,10,197,21,450,33 },
617 { 105,131,272,578,9,49,371,219,159,616,286,320,224,187,716,98,28,22,0,623,127,258,910,737,385,31,239,347,254,109,424,95 },
618 { 457,51,13,23,961,12,719,99,453,15,4,515,165,401,629,3,700,11,17,14,2,37,753,41,57,569,38,45,0,33,5,32 },
619 { 202,120,5,33,318,77,450,102,1,260,403,128,494,21,165,13,269,12,326,23,342,523,402,2,817,64,15,141,125,82,457,475 },
620 { 141,269,352,217,180,64,349,137,202,160,317,15,372,515,700,752,318,753,244,13,437,291,165,864,22,237,5,82,954,21,77,418 },
621 { 70,29,2,145,74,112,26,6,75,52,19,66,632,1,87,220,5,135,163,287,307,25,226,7,58,396,294,278,113,409,69,151 },
622 { 82,351,317,15,752,180,898,352,141,901,515,341,10,700,365,1,753,498,0,217,253,115,55,854,33,5,143,32,21,160,36,197 },
623 { 39,9,310,254,0,30,101,49,252,272,100,265,105,455,159,557,190,333,286,688,18,166,1,158,709,16,625,627,31,131,327,329 },
624 { 2,58,29,5,1,151,186,52,70,45,7,549,14,75,112,400,113,155,61,46,227,163,311,315,66,6,307,27,17,220,287,74 },
625 { 141,217,13,21,352,23,269,77,180,115,317,64,202,15,349,137,5,51,165,291,318,752,372,4,0,102,33,365,197,32,341,125 },
626 { 68,35,0,9,65,101,149,124,24,154,175,16,28,7,67,1,18,189,114,398,55,14,345,39,118,133,69,2,230,429,71,283 },
627 { 66,7,29,2,112,52,20,43,97,151,74,192,135,5,173,525,337,45,145,58,415,25,14,32,644,70,544,226,222,21,6,580 },
628 { 31,125,44,22,116,299,242,55,1,170,64,36,479,870,456,685,10,599,558,0,268,506,28,740,23,903,492,164,393,206,2,86 },
629 { 188,11,79,12,99,377,94,33,542,339,40,474,111,37,4,51,102,453,139,775,13,475,23,961,277,471,134,57,431,266,115,117 },
630 { 658,698,340,98,296,303,1,31,850,363,156,919,44,774,586,385,120,77,82,10,223,30,354,291,23,914,478,87,260,163,48,13 },
631 { 15,515,700,753,82,4,1,13,901,33,197,11,5,10,23,165,2,0,180,3,21,77,51,120,365,115,217,40,117,102,32,401 },
632 { 15,515,700,753,4,11,5,13,1,141,3,180,23,202,21,2,269,64,165,33,40,32,0,318,120,128,12,197,117,352,51,17 },
633 { 91,6,233,85,370,718,81,65,25,256,63,343,42,74,235,123,138,511,397,249,26,194,650,355,64,87,544,18,90,643,66,214 },
634 { 23,13,202,51,21,120,1,5,141,128,450,64,318,403,15,137,260,33,12,48,32,31,125,494,269,102,165,515,77,2,197,14 },
635 { 180,317,365,341,752,217,115,352,901,482,372,498,1,141,15,253,515,244,2,700,0,21,13,82,23,4,579,351,753,291,269,77 },
636 { 13,115,197,341,9,352,468,237,64,498,23,165,22,509,901,546,482,180,28,569,317,51,365,873,391,95,86,217,49,837,752,706 },
637 { 13,23,51,1,141,5,165,202,21,120,64,125,180,15,2,33,197,115,128,32,260,269,12,82,4,515,137,7,318,93,0,700 },
638 { 214,289,90,174,874,6,138,280,65,81,64,85,355,751,194,233,312,348,835,91,0,32,343,636,249,29,875,288,519,104,247,74 },
639 { 15,515,700,753,4,5,11,13,1,33,23,21,2,3,102,32,141,77,180,117,31,64,0,40,134,196,120,352,12,44,197,6 },
640 { 33,15,13,515,117,23,700,217,134,753,0,51,153,77,141,2,4,64,196,1,3,180,10,115,5,102,6,11,22,202,165,7 },
641 { 15,515,700,753,33,4,77,102,1,40,13,117,11,115,134,5,21,153,23,217,3,32,2,317,120,196,180,141,51,12,59,260 },
642 { 15,515,700,753,13,0,1,23,2,217,51,3,4,5,8,317,115,9,341,10,202,180,6,365,7,82,457,22,120,901,33,291 },
643 { 7,2,135,20,97,14,66,52,337,673,192,29,43,355,353,5,16,294,107,376,147,226,331,560,64,470,222,104,415,32,4,324 },
644 { 195,132,142,167,146,77,363,271,121,354,202,120,647,178,786,212,687,0,101,878,16,522,60,5,450,411,35,55,98,639,259,318 },
645 { 202,77,20,0,318,66,104,128,102,269,177,43,33,7,216,291,494,5,2,342,74,173,97,112,450,22,337,10,234,52,64,678 },
646 { 107,362,612,356,359,97,414,43,259,20,392,7,298,147,819,683,465,173,729,660,319,14,5,779,581,595,246,35,501,92,0,230 },
647 { 6,165,14,453,13,51,19,23,386,457,74,391,308,2,26,401,47,758,603,108,719,366,1,29,309,730,324,197,133,70,115,867 },
648 { 179,72,205,180,247,245,4,490,352,59,317,152,79,498,94,217,148,76,752,864,11,216,141,405,89,452,197,111,497,188,37,21 },
649 { 107,7,298,314,14,359,32,392,232,279,172,97,60,581,387,126,121,0,534,493,356,92,441,95,13,21,35,147,22,5,16,362 },
650 { 156,271,354,586,360,132,591,195,121,18,340,1,5,13,21,48,668,446,23,463,296,658,60,55,407,698,146,70,626,51,163,24 },
651 { 13,23,51,4,0,12,457,15,11,453,2,515,5,1,99,10,115,165,700,475,401,403,3,961,40,14,37,753,719,32,64,569 },
652 { 48,125,21,165,13,221,23,763,423,508,197,5,98,92,193,16,441,386,64,314,293,457,391,140,49,60,102,693,683,51,35,867 },
653 { 202,77,120,450,5,318,1,494,0,195,18,132,523,403,326,604,354,260,121,576,203,167,234,817,682,49,35,615,21,20,13,102 },
654 { 39,9,166,30,0,101,158,68,404,190,333,274,252,310,88,100,49,28,344,35,21,22,419,131,438,1,16,65,530,694,124,10 },
655 { 15,515,700,753,110,4,1,11,165,180,93,13,82,5,2,197,33,120,0,3,10,23,21,115,901,217,341,77,317,51,32,117 },
656 { 2,29,1,14,6,52,5,46,50,26,70,19,103,58,38,67,96,262,516,309,218,133,108,27,75,17,112,114,24,487,331,83 },
657 { 120,77,15,13,1,141,260,23,515,217,110,51,137,700,317,202,165,291,180,21,753,128,0,177,326,93,450,82,64,269,197,5 },
658 { 255,59,554,297,183,56,33,444,108,358,123,196,269,122,77,153,57,177,117,730,19,467,605,130,128,50,275,4,291,475,134,133 },
659 { 13,23,51,12,153,14,117,120,165,134,99,401,38,453,15,128,197,719,64,515,475,403,37,33,196,700,40,125,5,0,54,2 },
660 { 64,33,174,348,95,108,467,554,56,0,25,306,233,6,63,511,343,120,13,85,29,561,543,707,319,180,899,355,77,49,256,18 },
661 { 120,260,51,23,77,15,202,1,93,82,141,450,13,326,515,137,21,5,64,33,110,700,128,165,318,203,269,102,351,753,197,125 },
662 { 15,515,700,753,4,13,11,1,5,21,23,2,33,64,3,180,32,141,22,102,77,0,10,93,82,352,117,40,341,31,165,6 },
663 { 15,515,700,753,341,13,23,141,33,1,0,217,4,77,180,10,82,351,51,137,5,64,9,317,21,11,102,40,260,202,854,115 },
664 { 105,272,131,22,327,286,28,239,320,9,109,578,219,49,98,224,95,159,538,371,616,127,187,64,713,55,0,170,168,258,716,623 },
665 { 16,18,68,35,24,60,71,118,92,126,0,9,101,191,7,55,154,175,212,14,167,150,302,28,375,1,107,124,346,273,21,108 },
666 { 20,147,43,470,376,142,904,178,427,798,0,595,198,325,858,319,61,202,173,97,5,422,14,22,107,259,32,49,887,77,414,392 },
667 { 13,23,51,12,33,15,99,64,128,515,453,202,117,153,37,102,700,40,134,196,120,0,2,753,141,14,38,3,82,403,77,21 },
668 { 383,17,62,136,84,119,56,440,3,504,240,80,378,129,123,548,106,128,4,11,14,555,162,32,184,361,59,64,205,5,469,57 },
669 { 70,1,48,652,5,638,846,888,21,349,269,260,340,562,767,761,163,883,774,141,125,518,591,0,23,9,87,13,371,303,622,31 },
670 { 66,135,6,97,74,278,69,7,14,324,267,172,2,140,462,1,357,38,808,550,92,841,189,29,16,25,298,87,75,204,24,335 },
671 { 51,23,33,13,102,40,12,128,64,77,10,202,0,196,117,4,14,99,134,453,65,153,11,475,139,403,22,141,86,2,21,15 },
672 { 88,100,264,166,274,435,772,1,382,921,96,478,30,438,639,909,897,521,190,466,960,410,9,144,530,418,31,329,265,691,778,93 },
673 { 62,440,136,56,84,3,504,548,555,383,4,17,129,128,507,361,123,59,119,162,14,57,152,328,161,11,202,495,184,27,80,215 },
674 { 911,617,332,959,206,141,253,244,282,384,110,120,10,260,352,143,951,811,269,373,160,417,93,531,728,203,434,940,137,55,36,717 },
675 { 120,15,260,141,77,1,515,82,700,351,33,23,450,13,110,326,64,217,269,753,203,137,102,5,165,21,51,291,93,177,373,128 },
676 { 15,515,700,753,0,1,2,23,13,51,5,9,82,901,180,8,3,4,120,6,7,141,93,12,197,341,10,33,115,730,64,125 },
677 { 7,104,97,107,356,232,66,560,298,289,14,707,38,568,359,64,20,0,65,324,22,214,92,32,192,5,387,43,712,90,172,95 },
678 { 6,1,2,66,67,14,74,24,108,29,69,83,458,7,25,38,135,103,36,150,451,114,52,594,75,65,380,18,267,602,19,278 },
679 { 13,23,51,12,115,21,202,5,457,15,4,1,64,719,0,403,2,3,453,165,99,141,401,128,32,515,10,37,523,197,120,700 },
680 { 57,59,4,11,412,381,77,53,421,291,250,368,99,14,27,369,803,283,23,108,403,19,339,210,0,401,12,444,236,40,361,736 },
681 { 15,515,700,1,0,753,2,13,23,5,51,180,3,115,6,7,457,4,9,8,12,82,197,165,141,901,120,719,33,64,21,22 },
682 { 64,95,180,247,929,146,90,126,197,32,237,60,288,165,316,92,5,13,77,7,217,955,522,22,16,314,132,4,317,10,312,86 },
683 { 15,1,120,13,23,515,0,51,700,180,141,2,5,202,21,260,753,165,137,33,77,110,197,128,326,7,450,4,102,9,269,12 },
684 { 14,2,16,46,1,7,24,69,75,35,38,50,29,220,52,140,267,67,18,54,70,309,5,60,92,189,171,87,71,163,58,0 },
685 { 31,98,127,44,9,299,0,276,293,284,116,49,935,599,105,22,456,201,28,1,39,125,242,137,371,144,131,492,159,272,51,395 },
686 { 6,27,151,53,573,445,297,113,26,73,436,19,491,250,396,315,45,112,145,58,614,881,25,34,611,200,17,80,70,5,138,631 },
687 { 32,693,81,788,90,804,403,56,494,21,84,397,202,65,18,77,64,681,214,725,523,784,526,33,102,825,240,0,115,241,817,91 },
688 { 24,7,14,2,18,16,65,0,108,149,28,69,1,71,154,36,124,35,67,140,189,429,92,68,66,22,55,118,302,150,9,6 },
689 { 0,68,9,35,65,101,189,212,114,67,124,69,1,154,149,39,230,64,252,16,88,702,103,100,18,336,28,329,520,83,30,755 },
690 { 5,2,186,29,61,45,17,1,52,48,58,171,155,227,80,209,311,21,14,46,50,106,243,513,334,502,496,38,3,6,32,592 },
691 { 15,515,700,753,13,1,2,0,3,4,5,23,341,11,10,33,6,51,165,117,153,7,180,12,365,901,77,569,197,115,64,9 },
692 { 13,15,23,515,0,51,1,700,4,2,753,10,3,5,12,77,33,961,165,457,197,11,115,9,22,102,40,403,202,21,14,59 },
693 { 15,515,700,753,13,0,1,23,2,33,102,5,4,10,9,3,51,115,77,7,6,341,12,11,217,40,457,196,180,165,8,523 },
694 { 166,39,30,274,190,100,333,438,530,310,88,252,0,9,539,265,1,656,404,101,625,131,778,254,31,455,676,329,724,158,21,23 },
695 { 734,148,94,308,431,115,37,89,111,413,79,468,197,629,341,474,569,12,13,873,179,401,11,4,180,23,205,72,59,365,134,51 },
696 { 539,228,224,219,816,190,30,258,871,840,669,93,406,530,957,187,160,531,748,137,131,88,863,36,728,839,44,213,352,116,202,466 },
697 { 393,791,125,801,730,551,386,23,31,175,93,98,51,13,144,788,126,203,21,345,116,22,949,110,575,165,326,44,0,4,60,221 },
698 { 13,23,77,141,0,4,51,2,33,115,64,1,10,3,6,15,11,102,7,217,180,40,515,22,128,177,202,9,700,269,165,5 },
699 { 2,29,7,70,52,14,1,58,112,46,75,5,171,163,87,220,307,151,186,334,38,66,155,16,69,135,278,45,262,97,6,21 },
700 { 88,321,213,100,230,435,689,466,1,382,30,352,217,699,410,96,795,36,921,752,190,141,144,180,44,831,317,83,443,31,840,251 },
701 { 363,411,101,520,354,9,195,668,132,156,447,1,905,364,18,23,765,664,146,5,360,13,121,96,98,31,252,39,100,759,264,551 },
702 { 13,23,51,730,12,719,453,457,401,475,5,21,403,2,0,1,15,4,3,899,99,32,165,11,515,308,197,115,6,961,700,523 },
703 { 72,76,89,12,37,4,308,179,38,528,90,431,54,205,148,184,401,57,152,474,23,59,51,245,428,11,32,99,405,316,257,21 },
704 { 376,20,43,147,470,173,97,595,107,319,414,142,819,5,729,178,858,7,427,32,426,104,14,0,392,362,259,61,230,77,560,246 },
705 { 202,141,269,494,318,137,51,128,403,4,217,96,77,5,64,177,291,180,15,352,102,10,33,349,2,317,0,341,120,515,21,453 },
706 { 77,202,33,128,102,318,494,269,13,0,117,23,342,291,403,15,134,51,153,141,177,515,82,137,196,700,203,64,22,351,753,4 },
707 { 253,110,951,352,499,811,10,854,180,638,244,559,642,752,564,8,141,143,417,341,901,260,206,197,922,661,93,15,498,373,165,911 },
708 { 141,13,23,180,4,217,5,1,269,317,21,0,2,202,115,51,352,77,3,197,64,341,318,15,291,9,137,93,32,165,515,33 },
709 { 9,0,18,252,16,101,68,39,24,118,35,109,158,329,28,167,60,364,333,265,49,100,22,419,553,55,1,677,71,7,212,159 },
710 { 28,109,9,39,0,158,49,22,168,35,55,175,1,65,67,185,194,159,289,95,272,114,30,105,86,584,36,169,254,2,83,24 },
711 { 15,515,13,700,1,753,2,23,0,3,4,5,33,341,11,51,6,10,197,115,901,180,77,40,102,12,365,165,141,217,7,317 },
712 { 173,693,104,422,5,18,61,32,102,0,20,13,784,560,33,66,397,526,49,207,29,25,510,707,65,6,11,344,21,263,81,77 },
713 { 23,13,386,51,308,801,719,221,401,949,21,730,165,421,102,115,125,33,341,670,468,117,770,1,120,6,197,14,403,97,67,958 },
714 { 0,49,105,16,28,24,159,9,158,320,1,68,35,239,170,18,109,7,55,65,2,95,301,124,347,14,21,154,22,127,286,31 },
715 { 2,5,1,207,45,29,32,58,76,61,6,263,292,655,72,14,17,476,7,119,52,306,70,64,21,90,186,214,106,38,3,790 },
716 { 21,6,125,49,13,64,715,66,115,95,197,33,22,32,204,165,56,278,0,408,241,120,4,808,681,350,263,85,81,571,135,509 },
717 { 612,427,325,107,202,5,376,49,64,392,403,470,21,147,31,788,494,14,362,465,858,98,20,804,518,43,845,318,125,97,725,534 },
718 { 32,21,76,72,2,1,14,5,241,449,89,38,350,221,155,48,50,292,37,46,45,90,270,54,17,179,214,12,148,430,476,413 },
719 { 24,0,28,16,7,124,35,154,14,149,65,18,9,68,55,108,175,71,2,1,22,109,92,67,484,336,118,69,302,398,570,420 },
720 { 1,5,14,2,48,50,38,67,46,21,0,54,45,270,281,12,24,32,155,96,513,103,290,83,61,58,36,17,37,72,69,181 },
721 { 13,961,569,197,37,15,23,474,515,94,148,111,12,165,629,341,700,79,901,401,51,405,753,10,134,4,115,734,873,11,89,117 },
722 { 33,23,102,51,13,40,77,128,64,202,141,15,4,12,0,1,2,117,22,11,10,403,153,515,99,318,137,269,139,196,700,134 },
723 { 0,1,24,67,9,16,18,35,28,69,103,50,5,2,65,12,83,68,7,96,14,22,21,149,75,114,13,133,23,71,218,54 },
724 { 384,617,940,332,855,911,206,959,434,282,141,10,93,253,244,110,144,268,120,36,352,137,417,203,116,31,44,269,160,201,143,951 },
725 { 30,93,473,137,31,704,450,652,190,203,800,254,166,274,326,144,269,160,127,303,120,625,88,848,110,435,77,521,349,131,340,744 },
726 { 53,27,73,26,19,250,297,200,25,630,17,6,611,122,34,42,714,235,472,65,436,14,80,684,690,106,45,113,680,108,64,4 },
727 { 15,515,1,2,700,0,753,3,5,141,180,4,13,77,33,10,217,6,7,134,11,352,197,64,165,341,317,23,12,115,102,40 },
728 { 254,530,39,613,688,221,30,31,438,190,228,960,1,44,141,21,180,406,23,166,9,202,13,96,137,48,131,829,317,269,393,51 },
729 { 9,39,28,35,30,166,158,36,0,175,101,346,364,67,49,68,168,420,88,1,194,131,100,352,55,83,190,64,137,570,86,65 },
730 { 62,56,3,548,555,507,440,161,34,4,215,136,162,514,361,527,17,14,211,130,328,11,383,123,84,183,38,57,184,152,205,494 },
731 { 92,126,107,7,356,493,97,279,359,298,16,246,35,60,14,441,362,121,43,423,5,132,392,20,508,230,199,146,232,173,150,414 },
732 { 15,82,141,515,291,922,349,700,217,260,372,120,351,93,77,753,318,352,373,854,1,326,269,21,13,102,144,202,64,23,203,137 },
733 { 141,217,352,115,180,13,269,317,752,77,23,21,341,197,5,372,244,291,9,64,51,102,4,1,365,2,165,33,3,48,237,351 },
734 { 78,47,390,19,130,453,108,27,711,813,730,444,412,283,196,690,123,14,128,26,250,389,650,236,200,65,51,4,34,183,297,73 },
735 { 34,250,297,80,472,64,495,17,311,3,148,45,667,61,176,53,243,27,90,161,469,141,483,151,62,128,29,4,58,56,5,231 },
736 { 51,23,33,13,551,77,102,326,421,21,523,120,5,899,453,692,202,153,308,615,115,958,450,401,791,68,221,93,475,18,403,4 },
737 { 98,223,393,363,411,1,478,834,664,156,284,691,447,791,914,293,354,724,697,9,807,541,759,51,18,421,48,264,948,586,195,848 },
738 { 7,14,107,232,16,92,2,60,46,5,359,121,24,526,220,620,135,1,172,21,126,314,132,77,18,75,32,278,12,23,52,38 },
739 { 32,76,2,1,21,72,241,14,5,48,292,89,476,45,720,270,179,90,17,214,148,38,50,29,129,155,350,46,290,227,123,464 },
740 { 15,515,700,753,13,23,33,77,51,4,102,0,32,202,1,11,128,82,117,141,40,5,110,8,3,90,137,21,10,318,403,165 },
741 { 66,6,69,2,1,74,14,135,278,267,380,24,29,97,67,38,103,75,7,388,324,25,52,150,87,83,189,357,335,108,204,172 },
742 { 152,4,339,59,79,471,188,11,77,94,128,33,529,377,12,111,102,202,452,402,216,99,13,542,51,40,474,37,64,291,23,961 },
743 { 15,515,700,753,1,0,196,13,33,2,77,5,23,102,3,10,9,7,217,4,6,153,117,177,14,457,115,12,40,730,11,134 },
744 { 17,209,45,106,207,5,255,119,62,2,61,3,263,742,306,655,425,378,32,56,29,136,84,80,311,58,186,240,243,383,14,21 },
745 { 120,260,450,15,1,23,817,13,515,523,326,5,700,51,82,31,202,64,21,753,318,93,32,269,98,33,351,77,102,125,457,165 },
746 { 116,492,268,93,23,206,203,0,551,918,13,51,8,22,417,940,120,10,499,31,949,791,125,523,165,473,341,730,421,959,401,391 },
747 { 15,515,700,753,165,13,0,1,197,23,4,82,120,2,180,12,260,719,8,3,386,117,5,523,901,11,341,51,10,9,141,351 },
748 { 14,24,69,7,2,66,108,1,67,6,36,398,18,267,150,97,29,38,83,149,65,74,28,0,189,71,388,16,273,124,46,22 },
749 { 330,96,523,335,367,662,141,839,1,922,372,615,244,717,269,443,418,352,403,692,217,854,752,180,36,64,498,576,349,201,98,284 },
750 { 184,90,257,205,245,229,57,152,769,17,524,5,32,497,45,432,619,2,452,266,4,106,1,21,179,59,76,3,460,292,381,128 },
751 { 7,14,16,2,46,5,70,107,87,13,58,307,92,32,38,23,202,0,172,24,18,21,60,128,77,35,20,10,9,4,171,112 },
752 { 7,66,140,16,14,92,97,69,267,172,189,24,380,2,35,60,298,451,230,135,314,74,150,71,38,357,6,330,67,423,21,443 },
753 { 121,167,354,132,18,446,147,101,212,146,407,16,55,35,647,191,20,271,199,68,60,259,463,107,9,126,363,7,195,43,14,411 },
754 { 76,90,179,32,205,21,184,460,257,288,45,245,316,5,57,152,241,2,358,1,229,72,524,148,48,769,17,4,12,38,14,720 },
755 { 147,259,178,878,427,465,581,198,786,798,142,534,325,929,20,362,35,132,107,376,43,5,279,77,49,146,70,202,590,771,33,14 },
756 { 473,93,450,778,141,30,855,466,144,203,330,530,88,523,459,372,201,617,839,704,254,321,934,326,39,36,82,717,332,213,559,403 },
757 { 523,475,51,899,730,453,23,719,403,33,457,13,421,386,4,120,117,196,102,153,15,801,450,817,515,260,202,11,700,99,165,125 },
758 { 15,1,13,515,0,2,700,5,23,753,4,3,341,317,10,115,180,11,33,64,217,77,117,165,197,7,6,365,9,141,102,134 },
759 { 19,4,119,40,33,202,27,84,102,56,77,73,504,485,26,494,757,63,862,59,23,300,25,12,128,11,5,13,342,880,469,6 },
760 { 32,20,2,13,5,21,23,6,12,38,43,29,64,7,95,51,61,207,48,147,90,178,17,182,49,0,115,202,52,362,37,22 },
761 { 339,188,11,79,4,94,377,12,99,111,542,102,37,33,474,51,471,40,453,152,77,13,59,403,342,23,117,57,475,134,128,38 },
762 { 34,128,283,176,495,231,318,432,503,275,529,527,161,53,3,202,56,291,585,469,73,17,14,412,57,27,80,245,250,381,402,51 },
763 { 15,515,13,700,1,217,141,120,23,180,753,115,365,51,317,341,77,260,0,291,110,137,202,5,21,269,64,36,349,2,4,10 },
764 { 13,15,961,515,700,753,4,12,2,457,3,11,197,51,37,569,115,23,5,0,99,10,1,134,6,111,165,33,72,40,38,79 },
765 { 15,515,700,753,13,1,0,2,23,33,5,3,10,4,9,115,7,102,6,51,12,217,77,11,40,457,569,341,117,317,14,719 },
766 { 5,76,2,32,292,214,45,1,129,519,123,179,90,710,17,29,460,72,14,207,21,249,58,205,464,263,618,48,6,245,3,257 },
767 { 72,76,32,4,21,12,38,23,99,54,89,3,14,17,51,57,11,90,13,488,179,2,59,148,45,37,5,115,401,1,10,421 },
768 { 98,223,393,1,834,264,284,791,724,293,478,772,697,909,363,682,905,447,541,821,411,51,421,9,807,48,765,31,730,96,386,410 },
769 { 341,13,509,8,23,638,165,901,762,10,569,242,391,197,873,642,506,499,629,961,15,180,116,456,206,546,417,1,338,457,515,867 },
770 { 1,2,5,50,14,38,46,114,0,36,29,22,218,65,86,96,137,21,133,285,12,10,323,181,17,58,51,23,67,7,28,6 },
771 { 481,878,202,13,5,23,182,32,269,21,1,318,77,142,557,494,141,33,640,137,70,291,2,51,260,415,929,403,120,58,4,259 },
772 { 15,515,700,753,1,4,13,0,2,5,341,3,11,180,134,12,10,317,197,365,33,21,23,165,117,6,77,7,217,37,32,498 },
773 { 25,119,19,6,26,42,27,17,4,790,45,814,2,469,483,84,122,1,0,33,32,128,76,80,611,113,73,56,5,240,202,77 },
774 { 14,2,7,1,24,0,65,6,16,69,67,22,124,28,108,5,18,36,86,10,38,46,66,398,289,168,12,83,21,23,610,13 },
775 { 51,23,128,13,15,202,12,120,33,64,141,82,10,515,0,403,700,3,1,99,117,269,153,165,753,5,318,197,102,260,2,137 },
776 { 16,35,24,0,9,18,7,1,68,69,50,71,103,65,67,189,133,23,28,13,60,537,149,335,75,21,64,5,114,2,12,14 },
777 { 754,803,133,576,880,543,2,1,657,50,14,38,46,5,29,67,218,36,58,171,52,96,24,103,775,0,114,83,181,54,65,45 },
778 { 21,32,5,3,2,17,14,72,76,1,12,23,38,51,4,54,10,0,89,13,99,137,45,36,421,115,543,11,22,128,221,48 },
779 { 434,384,268,144,855,940,617,206,332,116,93,911,959,282,203,137,141,489,44,120,10,110,244,36,98,31,269,253,367,417,160,9 },
780 { 15,2,1,0,13,515,5,700,3,23,180,217,141,10,753,4,117,6,77,33,64,7,11,197,352,317,341,134,165,115,12,9 },
781 { 2,113,6,25,1,0,29,4,7,833,5,45,32,61,128,19,77,151,74,145,64,42,14,210,655,106,59,177,27,17,21,738 },
782 { 116,268,918,203,551,31,8,692,206,791,403,499,417,93,940,421,0,23,22,120,13,523,44,51,299,473,959,1,10,475,202,125 },
783 { 107,126,132,612,362,279,20,146,259,493,199,121,590,43,660,147,35,376,939,60,941,534,683,5,0,953,16,7,49,649,595,470 },
784 { 15,515,700,753,13,1,0,23,2,33,77,4,3,51,5,102,115,10,9,341,6,7,11,342,217,12,120,180,40,317,141,8 },
785 { 53,27,17,161,469,378,73,527,19,136,383,250,495,56,862,26,62,84,80,106,200,4,34,14,440,297,3,128,585,5,129,123 },
786 { 17,45,209,106,5,207,243,454,119,255,2,263,186,290,29,3,21,62,425,61,84,32,58,56,48,408,655,136,306,14,742,227 },
787 { 4,152,59,452,128,79,216,11,339,471,529,188,94,77,202,12,291,33,318,377,99,51,23,5,402,349,32,474,102,13,205,111 },
788 { 15,515,700,753,1,0,2,13,3,5,23,4,180,51,115,9,6,12,7,8,197,33,10,961,901,77,141,752,110,22,120,341 },
789 { 951,752,638,811,351,642,180,253,10,341,197,901,110,873,8,244,15,352,165,898,143,515,564,762,499,55,365,700,82,753,141,854 },
790 { 6,262,197,350,74,26,115,509,841,583,165,38,21,13,47,50,235,19,33,324,453,4,308,196,138,99,64,903,675,1,223,130 },
791 { 125,165,391,23,386,221,21,13,558,457,51,867,197,115,401,758,77,97,308,791,7,180,48,120,963,451,743,89,603,134,403,450 },
792 { 1,14,2,5,16,46,7,38,58,24,50,0,69,48,35,67,54,18,12,75,21,45,513,155,430,37,270,9,61,163,223,32 },
793 { 23,13,51,0,12,15,4,1,115,2,515,453,10,457,5,3,202,21,165,700,403,11,37,64,77,401,9,197,753,59,475,99 },
794 { 129,84,17,56,27,495,19,548,80,123,162,378,3,504,161,469,618,73,40,53,4,26,205,184,106,183,62,6,257,128,862,12 },
795 { 28,9,22,49,109,1,67,0,39,55,168,158,83,36,35,86,420,194,185,159,95,105,69,208,272,103,50,114,2,254,169,30 },
796 { 242,391,8,456,116,13,23,492,341,165,867,51,499,457,479,638,338,509,719,10,1,642,417,762,401,93,206,268,901,569,22,197 },
797 { 211,162,248,130,57,4,41,556,507,266,183,152,305,361,11,129,62,229,38,471,514,313,157,300,377,3,440,128,123,328,339,59 },
798 { 7,92,97,16,298,140,60,126,14,35,279,314,232,246,43,230,508,173,71,107,423,24,150,779,20,189,66,18,607,21,0,653 },
799 { 15,515,700,753,1,0,2,13,23,5,3,180,51,901,6,4,7,12,9,115,8,457,165,82,120,197,10,64,141,341,22,117 },
800 { 0,18,403,25,523,74,6,24,42,91,22,102,13,51,49,193,475,681,95,85,730,64,899,397,273,750,247,673,32,805,757,288 },
801 { 56,0,18,65,33,554,84,343,64,6,90,561,22,19,899,108,27,63,289,475,240,467,370,32,233,214,24,123,95,287,28,194 },
802 { 31,98,127,9,0,44,293,105,395,299,49,242,28,22,599,116,1,284,276,125,456,685,763,159,272,623,23,935,393,144,201,137 },
803 { 1,5,2,14,38,46,50,48,21,7,58,45,270,61,155,171,0,290,69,32,29,54,67,16,24,666,663,17,37,75,502,52 },
804 { 23,51,13,453,457,12,719,4,15,99,401,2,961,3,11,730,475,515,0,1,165,115,629,700,14,17,403,40,5,33,37,64 },
805 { 968,967,966,965,964,963,962,961,960,959,958,957,956,955,954,953,952,951,950,949,948,947,946,945,944,943,942,941,940,939,938,937 },
806 { 2,1,14,29,67,103,6,46,52,75,24,133,38,218,83,309,36,108,70,114,96,5,238,74,25,26,220,236,65,50,69,87 },
807 { 7,71,16,92,24,60,14,97,150,140,35,189,149,298,18,230,43,508,2,423,69,0,38,314,66,279,399,517,251,20,232,273 },
808 { 23,1,120,51,13,202,77,141,260,21,15,5,128,82,2,450,269,165,102,318,48,32,137,515,125,64,12,115,351,180,33,7 },
809 { 77,13,33,23,64,51,4,102,141,128,40,1,2,202,0,6,177,115,137,15,59,10,11,7,269,22,515,180,318,3,700,95 },
810 { 101,9,18,363,264,520,411,604,676,682,905,271,16,821,167,0,621,364,39,100,121,118,166,781,647,252,1,848,447,265,404,60 },
811 { 144,203,326,382,166,418,93,88,96,822,1,141,859,77,744,438,110,269,921,367,521,274,100,39,494,120,403,473,217,576,13,291 },
812 { 13,21,180,125,5,23,191,32,18,16,146,199,115,24,165,118,0,225,22,1,60,197,64,901,375,241,48,12,408,71,522,818 },
813 { 15,515,700,753,13,0,23,8,1,51,82,102,2,33,4,9,180,165,5,77,10,110,12,197,120,260,18,326,351,403,22,457 },
814 { 33,77,102,64,13,23,128,51,141,202,1,40,0,2,117,10,15,4,6,318,269,134,22,515,180,115,177,153,137,196,3,700 },
815 { 174,544,104,525,74,0,151,25,6,624,29,66,2,636,81,45,204,177,64,416,7,644,5,138,222,319,355,77,22,122,789,216 },
816 { 141,304,372,352,291,947,177,269,128,954,77,349,217,202,64,318,498,437,102,864,86,13,115,180,137,5,210,197,32,950,678,7 },
817 { 161,200,53,17,714,27,34,73,472,62,585,56,440,383,136,78,527,19,4,3,106,361,14,250,80,514,377,84,322,390,862,548 },
818 { 32,76,72,21,38,14,89,54,12,37,2,241,5,428,17,1,181,221,350,45,3,4,449,90,148,179,99,292,794,770,477,46 },
819 { 33,23,128,64,141,13,77,51,102,202,2,15,1,3,40,10,5,153,269,515,165,0,117,196,180,318,6,700,137,134,120,22 },
820 { 96,137,30,0,9,39,840,202,669,406,141,530,613,1,180,88,22,160,679,576,28,403,31,219,49,228,829,100,36,15,10,856 },
821 { 180,141,352,1,15,752,115,0,217,365,2,515,13,901,341,317,23,4,197,700,269,5,3,31,753,244,21,165,253,202,51,44 },
822 { 1,2,67,0,28,50,83,65,14,46,103,114,24,38,36,9,69,5,18,7,22,133,55,218,16,124,29,54,96,160,12,480 },
823 { 180,115,352,317,365,217,752,901,141,15,341,1,515,253,700,0,753,873,2,197,31,137,165,244,4,120,160,44,98,5,202,3 },
824 { 5,32,347,49,13,21,95,713,23,1,77,33,60,64,107,4,126,928,296,850,0,241,197,102,652,195,180,534,165,153,379,10 },
825 { 341,180,365,901,317,115,15,752,515,700,217,873,753,82,0,110,197,141,951,165,1,564,13,351,253,12,10,3,2,4,308,244 },
826 { 17,45,21,3,106,5,155,38,227,32,2,209,62,54,12,243,14,181,552,587,46,540,207,794,37,48,430,119,255,221,770,29 },
827 { 16,24,35,18,7,0,50,1,9,14,75,69,2,5,12,21,60,13,67,71,23,48,10,108,223,181,189,103,46,64,92,51 },
828 { 127,13,98,165,308,23,286,293,258,51,219,395,197,115,301,401,31,391,22,105,457,170,239,276,55,338,629,116,180,479,509,569 },
829 { 539,213,748,840,957,669,30,466,88,217,144,251,863,190,137,93,230,228,679,352,317,203,617,321,258,530,160,219,96,831,816,689 },
830 { 5,48,1,21,2,14,0,36,12,38,32,54,430,181,50,270,72,99,281,45,17,10,46,22,37,218,67,3,290,76,23,51 },
831 { 13,23,0,4,33,51,2,115,141,1,77,217,180,10,9,317,3,102,11,5,15,197,7,202,22,165,40,64,515,6,341,31 },
832 { 13,15,117,515,23,12,37,134,165,700,38,54,457,753,51,64,153,197,14,10,33,82,961,0,99,89,115,719,141,3,4,1 },
833 { 5,21,2,3,1,32,14,12,48,17,0,10,51,23,38,22,4,72,13,54,36,45,137,76,99,114,86,37,11,64,540,430 },
834 { 202,128,77,318,291,33,269,102,275,141,494,342,40,678,0,177,20,210,402,7,4,5,137,6,13,450,403,32,49,120,23,22 },
835 { 1,2,24,14,67,46,69,50,38,103,16,18,75,35,83,29,52,96,5,108,0,7,54,71,149,394,236,309,70,133,220,58 },
836 { 15,515,1,700,0,2,753,13,23,5,180,3,51,4,165,457,12,197,115,6,7,21,9,141,8,901,33,82,120,77,10,110 },
837 { 0,28,65,14,67,2,124,24,1,9,7,69,55,154,36,16,46,114,175,35,83,22,429,18,109,149,68,189,108,336,251,133 },
838 { 56,162,403,3,129,775,99,161,17,40,527,33,880,4,14,128,475,12,548,23,102,202,361,117,34,184,383,200,183,196,64,53 },
839 { 151,2,29,58,112,45,186,113,5,70,52,1,311,6,315,66,61,7,74,27,631,17,80,87,287,243,209,227,14,491,19,869 },
840 { 6,1,74,2,75,29,25,66,26,70,52,138,67,324,357,42,19,220,14,85,87,108,38,451,309,103,24,69,380,135,114,65 },
841 { 15,515,700,13,23,0,1,120,753,51,180,2,260,202,5,141,77,102,9,450,115,21,197,165,7,137,110,33,12,269,901,4 },
842 { 5,45,17,2,14,46,48,38,181,50,155,3,186,54,61,29,21,227,281,80,540,106,12,400,52,1,58,32,328,171,209,487 },
843 { 16,18,265,121,158,35,60,9,39,7,329,105,252,68,24,1,132,167,159,22,0,49,286,101,21,146,23,327,120,709,5,14 },
844 { 108,467,283,56,389,650,123,412,33,177,899,475,216,453,269,349,619,65,51,730,403,670,23,196,523,128,84,13,401,789,503,543 },
845 { 514,3,11,377,328,4,361,507,57,403,14,880,130,485,176,215,236,38,152,102,211,56,62,757,54,585,300,556,34,555,40,229 },
846 { 3,555,62,266,130,99,507,139,514,12,152,229,215,305,57,40,440,33,403,471,38,56,475,14,361,313,775,328,196,548,123,23 },
847 { 120,202,318,15,77,13,1,450,33,269,515,260,5,128,494,51,23,700,102,141,40,753,326,403,817,137,523,21,177,922,342,7 },
848 { 15,1,515,23,0,13,700,2,51,753,180,5,165,21,197,12,3,120,115,4,141,6,9,7,457,33,386,202,82,8,31,341 },
849 { 15,180,515,82,351,700,10,317,753,115,217,365,141,898,33,901,13,23,110,854,752,77,1,197,4,341,143,36,64,352,102,9 },
850 { 104,289,66,707,214,90,712,64,97,173,20,0,414,194,874,43,32,7,568,560,65,38,426,312,715,192,376,74,835,5,324,147 },
851 { 84,56,0,554,63,65,453,249,123,643,18,26,847,475,511,403,416,561,524,289,370,73,9,19,45,42,719,194,27,467,33,730 },
852 { 21,346,13,350,308,826,197,101,352,68,570,0,165,23,9,841,115,100,509,694,221,230,35,217,569,88,124,749,1,777,212,154 },
853 { 16,92,7,24,60,18,35,140,126,14,50,71,46,330,2,75,246,5,121,267,571,1,230,309,220,0,9,64,146,236,54,108 },
854 { 82,15,515,898,365,700,180,33,341,753,77,901,10,115,55,351,21,5,1,4,13,102,36,217,2,165,752,120,197,117,11,317 },
855 { 16,24,35,18,69,71,140,1,103,7,189,68,0,50,9,108,2,133,60,267,230,46,149,67,167,118,92,14,75,21,191,38 },
856 { 60,71,16,18,7,20,43,118,35,68,375,28,608,0,175,566,154,92,14,149,628,33,22,13,2,10,279,23,107,356,55,117 },
857 { 187,258,871,295,201,434,219,224,489,384,268,110,261,839,44,699,93,116,36,131,141,228,144,160,940,567,244,406,137,574,98,253 },
858 { 66,7,97,172,192,712,232,324,204,74,43,448,387,426,568,20,526,107,104,135,356,729,173,0,22,5,32,95,2,64,500,560 },
859 { 15,515,700,753,1,4,0,341,13,3,134,2,5,33,11,77,12,10,23,197,365,901,7,40,217,32,21,6,51,180,961,37 },
860 { 0,28,24,9,35,65,16,124,68,55,109,154,7,39,22,149,158,14,175,1,49,252,18,71,2,168,289,419,108,420,67,101 },
861 { 7,16,14,92,2,46,140,24,220,35,38,60,75,1,50,18,87,54,5,126,29,52,278,262,314,107,71,21,172,135,330,394 },
862 { 7,92,16,14,172,126,2,60,140,35,135,314,278,46,24,38,232,107,330,66,5,18,150,246,230,97,52,1,121,563,279,21 },
863 { 6,26,235,53,297,436,27,19,25,73,113,445,90,214,65,42,64,289,250,611,624,32,45,648,614,17,85,491,34,122,200,416 },
864 { 352,141,1,217,854,752,351,180,244,36,110,661,82,258,816,160,295,219,567,224,230,269,922,144,260,268,93,201,137,116,489,202 },
865 { 16,60,35,18,126,107,68,191,92,121,7,14,598,20,493,279,167,446,118,0,28,43,463,55,24,212,375,566,9,150,575,21 },
866 { 15,1,515,2,4,13,0,700,3,5,23,753,341,77,51,115,33,11,180,10,197,141,6,165,7,901,102,40,9,202,217,12 },
867 { 23,51,13,202,21,5,1,120,15,137,128,125,32,2,12,141,33,165,64,515,403,318,700,48,180,7,6,450,115,523,475,260 },
868 { 131,716,224,371,219,187,737,616,385,254,9,98,105,924,31,258,836,39,127,578,49,916,44,761,272,137,944,159,0,242,442,22 },
869 { 15,515,700,1,753,2,5,0,4,13,3,180,11,141,197,10,341,217,33,134,165,6,77,7,317,12,352,64,365,32,102,40 },
870 { 66,74,7,173,174,29,192,2,222,20,226,43,353,52,712,6,0,138,500,204,97,145,64,104,426,673,355,90,25,5,65,87 },
871 { 5,259,786,534,590,493,279,49,13,581,465,21,929,35,941,132,147,32,23,612,362,626,107,121,178,0,146,61,48,939,10,18 },
872 { 2,14,16,7,278,69,135,140,46,24,267,35,92,38,1,189,29,52,309,60,66,75,71,172,74,357,18,87,67,6,230,5 },
873 { 165,13,308,197,391,23,401,15,51,457,180,509,115,569,3,629,961,719,34,758,317,734,14,29,46,2,17,901,38,453,5,217 },
874 { 1,22,2,14,0,28,7,168,67,49,65,24,36,95,5,105,55,35,12,46,69,16,114,159,194,50,10,9,158,83,164,109 },
875 { 34,453,3,196,130,14,322,11,47,51,377,236,361,4,730,153,514,711,57,440,62,17,161,108,176,59,485,56,162,412,202,117 },
876 { 18,16,21,23,48,13,24,35,121,5,156,60,51,1,7,132,141,221,163,115,0,271,447,340,363,202,125,71,2,781,22,698 },
877 { 165,13,457,23,197,961,629,569,341,41,12,38,401,901,54,51,115,17,15,509,421,37,62,45,719,57,32,328,117,758,157,99 },
878 { 2,1,77,141,33,64,3,102,0,23,13,5,128,10,6,15,180,202,269,40,51,515,7,165,137,117,318,4,700,153,197,352 },
879 { 68,212,0,124,101,9,154,16,562,191,21,149,65,24,35,1,118,167,818,350,520,100,722,841,264,71,13,302,478,23,375,346 },
880 { 98,23,48,598,13,293,541,21,125,121,51,807,0,31,35,259,126,7,386,1,223,783,10,107,199,20,221,144,342,963,49,64 },
881 { 21,13,5,586,1,23,167,48,33,781,647,49,165,18,51,271,77,32,761,118,0,82,391,22,146,141,459,31,197,156,115,4 },
882 { 2,1,5,61,29,7,58,45,14,6,425,32,70,52,290,738,207,21,72,112,66,76,655,17,186,46,64,263,38,0,128,87 },
883 { 39,265,9,100,1,333,363,101,18,411,447,254,166,310,31,98,264,30,639,404,156,286,16,93,593,203,272,682,0,905,44,821 },
884 { 6,2,1,19,29,51,26,108,25,74,5,23,14,114,13,386,133,103,42,66,453,70,309,138,719,324,65,38,64,96,52,75 },
885 { 20,43,356,107,49,858,595,7,414,359,0,5,392,319,97,612,422,819,14,376,173,246,22,470,147,427,230,92,197,33,683,95 },
886 { 0,9,68,35,65,67,114,101,28,1,124,175,336,69,154,103,83,24,189,133,39,16,50,7,2,149,55,251,18,345,230,36 },
887 { 23,13,51,15,0,1,515,115,165,2,5,12,700,202,4,21,141,457,753,197,10,3,180,120,32,9,318,11,453,64,6,269 },
888 { 121,195,60,16,126,107,98,271,146,407,132,35,1,167,199,223,493,191,279,20,18,5,43,7,21,92,48,393,0,362,212,467 },
889 { 31,44,299,116,393,144,492,456,268,22,105,0,367,918,384,434,127,489,98,9,963,125,242,948,1,28,206,49,36,51,93,293 },
890 { 23,13,457,51,165,401,719,758,197,453,961,629,308,14,15,12,730,3,386,569,391,29,739,515,34,828,832,901,115,514,670,341 },
891 { 105,36,131,22,180,115,341,127,169,1,9,31,64,98,44,365,317,141,272,143,160,55,219,86,197,776,239,187,0,535,13,752 },
892 { 1,6,2,14,66,25,29,5,108,67,65,114,19,38,26,52,74,7,24,18,69,86,36,388,64,51,17,83,23,46,42,75 },
893 { 51,386,23,453,719,13,730,6,457,670,758,19,401,165,2,475,47,26,899,14,108,17,1,5,197,29,894,754,236,74,27,285 },
894 { 252,18,9,101,121,16,132,0,419,167,364,60,604,35,265,363,146,271,39,158,68,109,28,329,848,24,647,907,682,159,212,55 },
895 { 283,503,128,432,26,193,63,269,789,529,102,122,389,275,678,6,25,318,445,4,342,27,573,605,177,862,643,291,216,57,235,59 },
896 { 2,1,29,75,69,52,14,6,46,74,87,7,220,226,278,38,135,66,267,70,16,262,25,24,380,324,357,140,67,394,97,222 },
897 { 97,298,69,7,66,140,189,24,16,267,172,423,60,150,14,314,92,71,81,501,43,35,74,6,517,232,149,607,83,330,18,2 },
898 { 475,421,403,899,51,805,523,958,453,817,23,615,401,801,120,326,202,670,494,730,450,386,115,629,260,576,77,365,569,0,165,13 },
899 { 7,20,14,128,77,97,112,202,2,177,16,415,269,318,275,66,107,43,141,414,135,38,307,10,58,0,6,291,32,5,4,40 },
900 { 24,14,7,0,2,1,22,28,16,65,168,124,35,67,108,109,18,49,10,149,69,158,5,95,289,12,55,6,36,71,46,21 },
901 { 26,80,27,73,122,25,19,17,6,42,684,209,445,573,667,106,45,690,4,611,255,680,297,495,65,59,128,119,483,113,64,53 },
902 { 107,259,362,376,465,20,470,147,595,534,612,683,660,43,5,49,581,0,858,35,427,246,97,786,178,356,14,21,142,878,7,279 },
903 { 131,30,228,190,856,406,224,88,219,530,863,613,778,274,944,816,187,39,100,160,258,31,44,93,1,321,539,36,871,137,435,531 },
904 { 113,6,311,25,45,491,80,611,27,26,209,667,17,73,122,42,684,396,19,85,106,5,614,4,2,255,151,29,1,64,648,61 },
905 { 15,515,700,753,0,1,23,51,120,2,13,82,5,260,9,4,341,77,180,115,141,10,7,12,450,8,202,901,197,351,165,93 },
906 { 219,127,98,258,395,421,924,293,242,201,697,105,276,51,308,23,453,272,401,944,512,137,13,31,284,567,386,365,116,131,964,125 },
907 { 15,180,352,141,515,752,217,82,1,317,854,700,351,753,115,341,110,13,260,120,21,36,33,898,23,10,5,365,4,160,901,137 },
908 { 129,123,17,257,162,184,205,249,183,769,5,80,3,4,229,130,119,45,90,99,618,106,57,497,12,128,2,84,59,152,27,40 },
909 { 33,102,23,77,64,128,51,13,0,202,10,141,40,15,1,22,117,137,2,86,4,403,269,153,515,196,65,11,700,115,99,5 },
910 { 7,14,2,16,172,107,46,92,5,135,35,202,294,87,38,232,29,97,20,21,24,1,60,220,66,43,12,0,126,52,54,70 },
911 { 403,576,615,523,475,326,805,817,494,421,51,202,120,450,137,453,23,859,260,401,402,77,33,670,0,958,15,197,386,515,165,480 },
912 { 141,352,217,137,0,180,202,349,9,269,23,51,115,291,77,372,13,317,120,752,365,351,93,22,2,341,64,10,82,854,28,18 },
913 { 1,23,13,51,202,141,5,165,21,15,120,180,64,2,197,125,33,102,12,7,137,515,48,128,269,318,93,700,0,403,9,4 },
914 { 25,151,6,145,122,29,174,45,113,74,4,665,42,138,2,614,416,287,19,348,746,0,66,26,1,7,64,243,311,396,81,624 },
915 { 30,190,254,166,100,382,731,829,88,131,264,795,9,93,625,274,438,1,578,613,716,31,44,39,530,36,616,921,265,203,160,77 },
916 { 132,5,21,13,1,23,32,195,379,687,156,121,626,296,48,70,850,146,51,82,883,771,35,49,652,407,60,4,260,0,845,33 },
917 { 9,254,0,49,272,131,39,159,688,101,105,578,518,158,286,28,327,333,68,224,252,219,344,16,22,1,716,31,30,228,24,890 },
918 { 16,7,35,60,18,20,14,68,9,0,28,118,43,92,126,55,107,2,101,154,24,71,5,202,121,109,22,252,21,97,1,621 },
919 { 15,515,700,753,13,1,341,2,0,4,3,5,11,23,10,33,117,12,901,197,6,134,77,8,165,317,21,365,217,7,17,40 },
920 { 78,19,444,47,26,390,27,453,130,813,108,730,711,65,412,122,51,680,113,235,690,196,630,283,128,236,14,64,73,53,200,445 },
921 { 2,7,29,5,61,6,45,1,66,113,112,14,52,315,738,128,32,151,74,16,20,64,70,21,592,0,25,4,425,43,491,222 },
922 { 145,112,74,66,6,29,26,70,19,396,25,87,2,287,135,151,138,222,5,226,42,122,7,307,1,644,45,58,113,651,635,632 },
923 { 92,16,7,60,126,24,140,35,14,232,18,121,246,71,46,267,172,150,107,314,132,146,230,2,278,108,330,199,236,5,38,572 },
924 { 13,115,197,538,569,341,98,55,165,127,365,762,219,286,844,23,170,206,734,638,535,901,169,253,629,0,873,509,180,10,332,258 },
925 { 58,151,74,53,287,27,29,396,6,70,2,73,5,52,112,26,651,1,297,113,17,75,19,45,334,445,145,34,315,549,436,331 },
926 { 214,289,90,874,104,751,64,65,312,835,204,249,750,194,74,81,875,32,519,288,348,0,174,247,636,715,138,192,784,6,524,280 },
927 { 9,39,28,35,30,0,166,49,1,175,439,158,64,346,36,101,67,364,86,88,274,100,168,55,23,10,420,22,190,141,505,180 },
928 { 341,901,15,515,700,753,1,365,10,0,569,180,2,197,115,31,165,3,5,4,44,22,317,13,9,951,23,253,116,143,762,93 },
929 { 120,202,77,450,260,15,128,318,102,515,494,13,817,700,269,5,403,51,1,33,23,753,82,326,141,342,291,137,21,523,351,32 },
930 { 13,115,241,64,180,32,125,197,165,4,118,22,21,23,16,247,237,28,225,191,95,141,167,5,0,341,288,35,459,18,177,24 },
931 { 16,24,35,14,1,2,7,69,18,46,60,50,267,140,71,189,108,38,75,92,0,5,9,230,67,21,309,335,54,236,394,220 },
932 { 15,515,700,753,898,180,901,341,197,638,10,165,33,1,115,4,77,365,317,13,102,217,117,0,5,2,253,3,82,569,21,752 },
933 { 193,523,18,84,56,730,233,65,4,817,90,33,643,403,91,511,453,240,59,11,214,51,719,196,153,475,32,123,64,847,102,561 },
934 { 112,29,151,2,74,6,66,7,222,145,287,45,5,624,52,25,113,416,58,122,19,70,186,204,4,87,644,549,337,884,32,0 },
935 { 13,0,23,2,1,15,33,3,77,515,141,5,4,217,10,51,64,180,700,115,6,117,11,7,753,40,102,165,197,22,317,153 },
936 { 28,0,1,67,65,9,2,114,83,69,103,50,36,22,55,24,46,14,124,109,35,7,16,38,133,160,389,323,18,12,154,5 },
937 { 121,132,18,167,271,146,101,363,621,9,411,647,16,354,520,60,212,932,1,806,55,0,195,446,68,35,31,364,777,252,407,118 },
938 { 26,6,85,396,122,624,25,19,42,445,64,648,573,416,174,680,665,214,45,348,90,65,194,145,113,881,138,289,112,436,297,544 },
939 { 16,146,18,92,24,199,60,71,121,126,35,108,156,953,271,674,132,7,32,640,360,246,649,118,21,95,5,517,14,9,1,314 },
940 { 51,13,23,453,475,730,719,15,457,403,64,115,33,95,4,523,3,12,21,6,899,102,5,128,401,202,11,141,308,515,22,125 },
941 { 151,396,6,53,27,113,58,26,73,112,74,287,45,29,297,19,145,70,138,445,315,436,34,2,17,573,5,61,549,491,1,80 },
942 { 223,1,888,774,260,98,269,385,349,202,96,141,421,622,730,863,318,697,87,453,393,418,922,834,751,5,163,335,120,291,352,30 },
943 { 16,60,92,35,126,121,7,150,246,18,107,1,598,24,167,195,14,97,71,279,98,441,191,199,517,146,356,223,298,271,230,0 },
944 { 22,1,105,28,239,170,0,55,95,31,36,301,2,320,98,127,9,49,44,64,35,67,10,86,5,12,109,23,168,13,21,312 },
945 { 2,6,5,207,292,76,1,119,45,32,17,29,61,306,790,58,240,106,14,64,214,151,476,710,7,72,84,128,4,179,70,25 },
946 { 51,23,221,254,115,13,438,530,125,48,21,39,541,960,386,49,1,613,15,840,228,308,627,131,688,401,5,326,421,158,165,83 },
947 { 1,5,2,0,12,22,21,36,10,14,48,86,23,13,32,54,3,4,28,65,51,50,137,37,208,114,9,38,17,7,281,202 },
948 { 363,23,447,182,296,340,1,93,698,478,379,156,284,144,18,269,21,98,141,70,668,411,664,658,110,914,67,937,180,691,335,291 },
949 { 17,32,45,498,41,115,180,197,106,62,54,38,546,165,13,155,468,509,341,243,241,217,542,15,57,536,428,51,117,721,292,129 },
950 { 32,95,64,246,22,92,180,13,5,652,125,241,638,237,7,49,4,126,21,115,197,296,888,316,0,165,774,23,16,392,1,534 },
951 { 15,515,700,753,33,341,13,217,4,141,77,23,180,317,1,10,102,351,82,115,40,5,854,21,137,11,352,901,365,117,197,0 },
952 { 15,120,1,82,93,217,515,260,77,141,13,110,700,351,352,23,180,753,21,854,202,317,64,349,269,51,165,137,5,128,291,36 },
953 { 13,23,51,141,77,0,33,4,115,64,2,10,102,202,217,128,1,177,269,11,7,22,6,21,32,9,180,40,15,3,165,318 },
954 { 478,264,1,520,98,724,9,682,223,664,21,759,13,772,604,100,23,363,411,48,821,5,0,905,909,447,31,265,88,101,166,39 },
955 { 20,29,7,2,77,416,6,128,33,5,0,113,104,32,43,13,491,66,23,21,102,51,74,210,202,525,64,318,10,81,174,14 },
956 { 2,1,5,14,7,58,61,29,45,290,46,38,52,21,32,270,6,592,425,0,75,155,16,48,17,50,72,70,207,24,263,663 },
957 { 80,6,17,209,106,26,483,113,19,469,255,25,378,27,495,833,45,64,161,2,61,667,76,742,32,90,445,5,814,65,887,119 },
958 { 98,223,393,1,354,834,195,791,447,697,284,293,360,541,781,156,51,807,18,664,421,411,163,668,48,31,591,765,883,386,948,23 },
959 { 679,141,816,36,93,406,876,144,228,137,1,180,669,21,332,251,5,269,116,187,96,351,202,752,317,64,203,831,574,466,855,345 },
960 { 15,515,700,13,1,753,2,0,23,341,3,5,4,10,51,11,33,165,6,7,115,197,12,64,180,153,217,77,9,569,901,317 },
961 { 13,23,202,51,5,21,403,15,120,64,1,450,128,141,12,523,33,165,494,125,2,515,269,7,48,102,318,95,260,180,453,197 },
962 { 16,18,24,60,71,92,146,246,199,35,140,7,9,118,121,108,167,230,126,132,0,640,156,14,68,133,267,360,649,271,64,55 },
963 { 269,141,678,177,202,77,128,318,33,947,40,120,291,349,102,137,64,352,210,864,461,498,13,342,196,23,275,450,954,0,205,111 },
964 { 16,24,92,18,71,60,35,7,108,191,167,246,140,14,126,21,1,68,150,118,149,388,399,9,273,0,121,796,230,48,212,517 },
965 { 2,14,1,29,46,75,52,70,69,171,38,7,58,163,16,5,24,220,67,112,223,54,50,409,155,35,267,186,151,334,394,140 },
966 { 9,252,100,265,166,39,88,404,329,0,1,520,382,812,101,593,264,274,604,676,30,118,68,553,18,664,363,23,639,865,21,411 },
967 { 16,18,35,24,0,60,158,7,22,68,14,49,109,159,55,9,28,71,2,10,5,105,1,118,329,13,344,23,92,20,21,126 },
968 { 15,13,515,700,23,0,753,1,51,2,4,10,77,5,3,197,115,165,961,202,9,457,180,12,141,22,33,120,6,11,318,31 },
969 { 160,93,251,137,317,1,180,36,120,217,345,752,617,352,332,10,96,531,498,318,365,202,141,269,816,341,901,679,143,35,83,968 },
970 { 6,25,42,128,19,59,122,4,85,26,611,27,269,233,45,0,343,91,318,80,11,177,283,73,33,614,2,77,64,138,445,216 },
971 { 95,64,74,7,32,81,51,204,0,20,237,65,56,38,91,23,207,180,347,343,29,6,511,52,49,10,25,18,554,370,14,312 },
972 { 202,120,326,260,450,817,494,318,137,403,128,77,523,553,859,5,704,1,15,23,13,576,7,16,615,51,682,291,515,0,21,234 },
973 { 20,43,107,356,362,126,595,92,359,7,422,319,493,16,858,5,392,246,414,683,60,0,35,945,441,21,259,819,49,97,279,173 },
974 { 25,42,6,77,33,102,0,122,4,690,29,483,210,27,21,19,2,300,18,648,680,119,117,59,1,10,342,12,26,153,91,684 },
975 { 31,44,299,116,125,242,456,599,22,393,0,144,492,28,268,1,9,963,301,105,367,36,127,170,384,434,206,98,918,10,13,93 },
976 { 410,521,686,367,662,88,335,321,201,96,98,772,144,1,934,921,443,435,284,274,264,551,120,897,44,100,33,225,744,418,909,960 },
977 { 142,178,878,234,132,786,195,202,77,416,147,929,146,522,167,259,687,639,450,271,626,481,590,5,198,212,771,49,0,465,315,427 },
978 { 254,39,131,9,272,0,578,716,310,224,30,49,105,827,518,829,166,333,616,228,613,846,101,219,1,31,890,98,159,938,252,100 },
979 { 230,699,854,473,450,351,831,137,855,217,352,704,800,202,251,498,160,144,206,203,317,201,253,752,418,141,1,332,82,180,443,36 },
980 { 403,202,475,453,494,23,51,77,318,402,13,33,128,102,137,141,120,342,269,0,450,4,899,576,40,421,275,117,217,177,196,64 },
981 { 23,44,98,182,291,144,116,39,110,141,96,82,905,70,367,264,125,93,77,411,120,1,658,202,100,415,107,363,197,30,447,105 },
982 { 15,515,1,13,700,23,77,120,0,753,51,180,202,141,260,5,21,115,2,137,128,9,450,197,365,269,12,326,110,102,318,7 },
983 { 0,32,18,95,207,577,193,29,61,104,64,784,715,102,693,887,81,91,583,671,403,5,52,474,397,180,138,49,37,344,38,263 },
984 { 0,101,9,68,252,16,100,39,166,364,124,24,154,265,212,88,18,35,329,419,28,118,71,30,65,158,191,55,1,694,21,676 },
985 { 16,24,191,18,35,71,167,118,149,68,212,9,0,1,21,108,101,92,60,375,302,7,589,755,124,674,350,48,562,246,13,363 },
986 { 2,14,69,24,1,67,46,16,38,103,29,267,7,35,189,135,278,71,108,18,83,309,52,6,149,388,75,236,60,0,150,66 },
987 { 13,1,23,0,4,2,51,15,180,33,3,115,5,515,141,10,77,700,11,9,197,341,202,165,217,102,22,7,753,317,365,6 },
988 { 447,1,698,411,31,363,98,5,919,4,156,125,759,691,13,64,459,354,44,21,48,293,30,914,478,225,82,120,2,922,848,839 },
989 { 854,82,351,217,141,180,352,15,515,752,1,700,317,898,753,244,10,21,922,115,77,36,4,260,64,110,372,13,5,365,120,11 },
990 { 0,1,4,13,5,2,82,33,3,120,10,23,9,11,77,260,21,102,8,31,40,6,351,51,64,450,22,117,93,110,7,457 },
991 { 51,13,403,23,12,475,1,2,21,5,453,523,115,202,817,7,0,99,3,6,450,120,494,64,22,95,49,899,10,37,32,141 },
992 { 180,752,352,141,498,864,317,217,9,0,115,237,230,39,30,197,83,1,930,64,35,365,372,13,579,88,702,36,101,901,482,21 },
993 { 16,24,0,7,22,18,28,35,14,158,71,2,109,60,1,168,49,154,124,68,10,55,92,118,159,9,5,747,95,105,65,6 },
994 { 15,515,700,753,0,23,1,13,341,51,120,77,141,4,137,33,260,82,202,9,180,5,351,2,291,10,11,901,21,115,40,128 },
995 { 24,68,35,149,18,16,0,7,9,14,189,108,69,65,67,1,71,2,118,28,140,101,114,336,230,124,175,133,46,55,251,154 },
996 { 13,308,197,115,125,9,165,237,391,23,509,569,546,28,49,629,22,338,317,254,749,180,468,159,903,386,217,352,558,39,36,734 },
997 { 64,90,32,217,77,4,141,216,172,312,128,13,86,33,597,147,352,95,5,115,875,22,59,11,102,14,182,437,97,177,874,707 },
998 { 1,22,36,0,105,28,2,67,95,49,55,5,239,12,86,9,83,170,312,64,31,21,23,10,164,50,114,159,208,13,7,320 },
999 { 9,18,16,0,159,105,101,252,49,310,24,68,35,39,265,272,7,1,60,28,455,890,329,557,118,286,55,137,327,167,5,13 },
1000 { 129,123,214,249,618,17,5,257,205,184,460,76,2,162,769,245,90,106,128,45,119,1,183,4,3,12,179,64,6,229,99,209 },
1001 { 51,453,719,457,23,13,730,899,475,386,4,15,11,12,670,196,515,523,961,401,153,3,700,99,753,117,403,32,120,165,57,0 },
1002 { 173,66,192,204,20,74,104,636,7,43,289,426,825,712,560,214,81,750,65,97,707,0,90,414,64,348,32,500,22,861,95,6 },
1003 { 13,23,1,51,5,21,141,120,202,15,165,2,515,180,12,125,0,64,82,700,197,269,32,48,260,128,115,93,9,137,33,753 },
1004 { 200,34,322,78,472,390,27,714,19,14,136,161,453,176,236,444,59,3,62,128,108,57,283,862,73,53,47,17,412,813,4,56 },
1005 { 33,347,66,204,426,498,56,172,97,95,5,681,546,22,10,0,135,180,4,241,19,174,6,353,263,21,7,370,42,197,27,808 },
1006 { 131,224,219,187,385,371,258,442,254,737,31,98,836,127,924,944,44,871,908,716,39,827,201,574,116,137,36,1,276,242,578,616 },
1007 { 1,15,2,180,4,141,13,515,0,5,3,115,700,901,341,23,217,352,753,51,197,77,317,33,365,752,165,21,6,7,269,93 },
1008 { 370,91,718,74,81,510,397,66,636,240,355,84,138,511,18,278,6,681,701,289,90,5,214,582,64,104,0,643,192,65,750,32 },
1009 { 15,515,700,753,13,120,1,0,165,2,197,23,260,180,4,82,51,386,8,5,12,10,3,141,351,341,326,9,450,7,64,6 },
1010 { 32,2,76,5,1,292,72,45,476,214,21,241,29,14,17,48,129,90,179,460,464,123,290,148,519,205,3,263,249,38,710,89 },
1011 { 13,165,115,17,197,569,23,509,457,45,32,41,106,180,62,38,659,734,155,536,341,629,961,873,587,54,431,37,391,99,405,428 },
1012 { 68,24,35,16,0,101,9,124,154,71,149,65,18,175,28,118,7,55,302,108,92,14,22,346,1,39,429,252,375,364,10,67 },
1013 { 0,9,1,68,230,65,35,69,83,23,101,13,141,67,217,352,21,39,16,88,28,124,212,100,115,154,51,64,30,36,10,317 },
1014 { 100,265,88,909,410,382,812,593,1,213,321,30,252,230,352,264,9,166,689,39,676,98,21,466,724,639,478,217,13,48,553,101 },
1015 { 113,61,198,904,43,0,5,37,899,325,20,59,33,523,204,725,817,389,470,329,222,40,174,58,22,453,690,848,122,104,788,105 },
1016 { 16,24,141,18,7,0,71,140,35,269,75,352,12,9,108,217,5,330,60,64,199,70,22,13,486,246,318,133,65,50,23,498 },
1017 { 271,167,121,60,18,191,146,199,16,1,446,132,575,212,463,354,126,35,598,566,727,98,107,21,608,955,640,407,5,24,223,68 },
1018 { 15,515,115,217,700,13,317,753,141,180,33,23,110,120,4,341,82,10,1,260,365,36,64,854,351,21,51,352,137,77,40,0 },
1019 { 173,7,97,356,43,107,20,387,729,104,426,232,560,595,359,392,414,707,885,81,5,0,66,858,612,49,861,14,22,32,819,230 },
1020 { 15,515,700,753,13,23,51,82,0,33,165,120,196,4,1,2,197,453,260,351,180,12,40,8,386,110,5,326,9,141,217,457 },
1021 { 9,100,120,30,77,795,137,82,202,39,264,827,578,127,0,166,373,318,18,326,141,260,1,450,731,31,33,395,217,291,341,254 },
1022 { 14,2,67,1,24,69,0,28,65,7,46,18,114,108,36,83,38,398,9,16,124,133,103,154,50,55,22,267,29,160,35,547 },
1023 { 14,7,69,24,66,16,2,267,189,67,71,150,140,97,18,60,172,35,6,1,38,149,388,92,83,135,108,74,462,380,29,36 },
1024 { 15,515,700,753,1,13,2,0,4,341,5,3,23,365,11,117,180,10,12,33,134,115,77,197,217,165,6,7,317,102,21,9 },
1025 { 1,22,0,12,5,2,36,28,21,10,86,13,23,49,128,9,95,51,55,96,208,141,48,202,4,137,37,64,105,3,50,7 },
1026 { 605,630,63,123,736,650,65,108,444,368,561,389,19,25,42,619,122,194,183,27,53,33,84,26,297,813,114,73,256,235,249,216 },
1027 { 127,39,9,0,31,371,98,254,1,385,395,44,30,836,187,131,100,116,284,578,299,166,28,21,737,16,276,272,23,49,137,935 },
1028 { 2,61,6,29,45,151,1,655,7,207,32,5,112,425,17,76,833,4,14,64,58,106,119,25,113,128,72,52,70,21,292,790 },
1029 { 2,5,17,14,3,29,23,27,13,401,46,6,51,58,1,453,45,53,34,52,133,19,236,26,181,114,99,366,151,108,218,38 },
1030 { 31,22,170,1,301,44,127,98,36,28,55,105,239,0,338,116,512,299,293,125,86,10,242,395,2,13,9,64,841,23,95,685 },
1031 { 1,21,2,14,5,32,48,50,38,270,46,76,290,72,45,54,17,0,155,221,263,207,37,281,430,3,89,12,181,408,36,67 },
1032 { 17,106,119,378,84,240,62,80,383,136,306,3,56,790,742,5,207,504,64,440,32,128,45,2,123,209,14,4,61,57,297,667 },
1033 { 13,15,1,515,23,2,0,700,4,115,3,51,5,10,753,180,33,341,217,11,165,317,365,197,6,77,40,64,22,9,7,117 },
1034 { 772,335,96,744,1,367,662,686,652,897,303,264,521,31,225,410,141,520,260,116,64,44,321,98,144,88,919,966,340,269,349,284 },
1035 { 1,0,5,28,36,2,12,22,83,67,65,50,24,14,9,96,21,218,18,114,48,281,54,10,7,160,181,103,37,23,133,99 },
1036 { 25,6,145,42,138,81,174,348,525,544,26,74,85,280,287,648,746,91,66,0,29,396,204,64,636,90,122,194,355,104,65,233 },
1037 { 16,24,0,18,28,158,7,35,49,22,68,159,55,1,14,109,105,2,9,71,65,154,124,95,424,344,60,239,118,577,21,10 },
1038 { 352,854,699,230,93,689,137,144,217,160,251,36,669,202,351,120,617,855,752,203,332,82,450,180,141,748,831,30,258,201,1,816 },
1039 { 15,13,515,700,1,2,0,753,23,5,4,3,51,33,10,115,11,317,217,77,180,341,117,165,6,134,197,153,64,9,102,7 },
1040 { 104,20,43,173,66,319,0,77,202,7,198,5,97,580,355,74,2,204,174,52,712,234,426,155,102,192,32,4,500,337,226,904 },
1041 { 13,23,15,51,1,515,0,2,5,700,141,4,753,165,115,12,3,21,457,10,180,269,32,6,197,202,9,7,120,11,77,33 },
1042 { 15,515,700,753,0,1,13,2,23,115,4,317,8,3,5,51,9,341,10,217,22,365,33,457,6,180,77,901,197,120,18,7 },
1043 { 15,515,700,753,1,0,2,3,4,13,5,141,23,16,82,217,457,10,365,180,9,317,51,21,269,898,64,202,11,12,318,341 },
1044 { 2,5,1,14,50,38,29,17,114,46,133,3,45,21,58,171,181,36,218,12,6,52,0,48,137,65,361,23,155,4,285,51 },
1045 { 0,68,9,65,101,124,35,212,16,149,154,100,24,1,114,336,67,589,252,39,71,189,69,562,18,13,30,398,118,88,265,264 },
1046 { 1,2,14,22,0,7,67,65,28,36,24,46,168,5,86,69,38,16,49,12,289,10,194,50,83,114,95,6,18,23,55,158 },
1047 { 13,23,15,51,515,0,700,4,1,753,2,10,115,961,457,12,33,11,3,5,197,9,165,77,102,403,453,40,64,22,37,59 },
1048 { 15,515,700,753,0,1,2,13,23,5,51,901,8,9,180,3,7,82,4,120,12,10,719,341,6,31,141,457,197,22,115,93 },
1049 { 100,252,88,101,0,265,9,724,48,1,21,352,213,676,410,382,321,230,30,329,593,909,39,812,553,217,23,689,520,264,166,419 },
1050 { 2,5,1,58,171,14,46,50,29,52,45,38,186,155,67,54,151,281,334,61,48,96,17,181,103,400,502,227,21,223,12,69 },
1051 { 23,120,13,1,202,141,51,21,165,128,260,15,5,269,137,64,33,180,82,318,93,197,77,326,515,125,110,700,450,2,32,48 },
1052 { 341,197,10,901,13,15,8,638,569,515,479,23,180,873,700,165,143,642,0,961,753,951,1,115,509,499,116,12,498,242,82,206 },
1053 { 15,1,23,13,515,21,120,51,2,141,202,700,5,180,165,0,753,197,12,7,33,260,352,137,269,4,82,128,48,9,110,6 },
1054 { 2,29,50,58,1,6,5,52,14,262,17,46,27,53,151,34,171,74,324,26,38,309,45,113,19,96,287,396,223,67,73,583 },
1055 { 13,23,141,51,4,202,0,115,77,2,33,217,5,317,180,64,10,269,3,9,15,21,1,128,102,137,318,11,352,515,22,31 },
1056 { 1,67,0,24,50,5,14,18,16,69,2,9,103,35,83,12,96,28,54,7,58,223,21,46,281,48,65,181,22,38,36,108 },
1057 { 13,23,141,51,77,64,202,115,33,102,128,4,0,269,10,21,217,32,180,318,9,137,2,11,22,291,7,177,16,31,165,197 },
1058 { 317,115,180,365,873,498,217,341,13,752,482,197,569,352,1,901,36,23,457,468,165,346,546,143,509,134,579,876,868,2,332,21 },
1059 { 184,257,205,229,152,17,57,497,266,432,452,524,5,619,381,32,4,90,2,12,313,128,45,59,245,106,3,471,129,769,339,214 },
1060 { 13,23,1,0,15,2,4,515,51,3,10,33,5,700,115,180,753,77,11,365,341,217,9,6,197,7,102,165,317,40,22,64 },
1061 { 626,70,771,687,379,846,767,761,518,878,82,481,31,786,49,591,178,163,407,44,87,13,845,125,590,371,195,120,98,557,937,351 },
1062 { 264,1,410,909,772,897,686,521,335,478,98,96,691,639,100,44,284,382,31,321,744,88,914,724,662,765,223,9,682,363,0,367 },
1063 { 13,23,1,2,0,15,51,515,5,10,4,33,115,77,180,700,3,141,217,40,6,753,317,197,64,165,7,11,102,9,341,22 },
1064 { 141,77,13,64,269,23,115,21,318,217,5,202,102,33,137,2,15,291,177,51,48,180,32,4,515,352,128,7,0,10,96,11 },
1065 { 13,15,23,515,51,0,700,753,1,2,4,10,33,11,961,453,115,40,457,14,12,3,9,5,165,401,197,77,22,21,64,102 },
1066 { 1,22,0,36,2,31,5,12,13,105,28,9,49,86,141,21,23,95,128,55,44,115,170,10,164,98,180,4,137,239,83,51 },
1067 { 100,101,88,0,252,9,265,30,21,39,759,724,213,329,321,13,419,68,562,382,676,352,694,35,553,410,1,166,909,593,230,23 },
1068 { 539,88,30,190,321,530,840,144,669,435,957,748,778,100,96,418,203,213,1,131,410,228,466,274,36,382,219,863,613,83,822,352 },
1069 { 7,97,92,173,298,107,43,314,232,140,16,356,20,387,729,362,126,359,246,14,230,501,426,441,0,5,560,66,104,779,35,60 },
1070 { 2,14,7,1,58,5,46,16,38,70,75,45,24,155,29,0,21,52,61,163,220,50,69,270,35,48,32,171,18,6,64,54 },
1071 { 447,411,363,664,647,98,621,1,354,271,223,478,18,777,781,936,360,759,167,132,121,48,21,156,9,195,118,293,23,691,13,264 },
1072 { 2,1,14,65,36,67,0,7,46,22,69,5,38,24,28,6,83,29,86,114,168,50,124,208,12,18,108,10,194,484,103,16 },
1073 { 421,386,51,791,730,958,165,801,23,453,697,403,615,13,221,523,24,899,401,326,551,670,576,102,18,33,125,77,566,115,203,197 },
1074 { 104,319,422,945,0,81,20,43,715,32,784,693,879,7,397,74,306,207,52,681,671,2,61,173,6,636,904,95,887,5,18,192 },
1075 { 2,29,1,46,14,52,70,262,6,26,50,67,75,96,309,38,103,112,58,19,5,163,145,83,74,220,223,357,24,69,331,25 },
1076 { 786,929,590,771,687,626,941,178,465,259,70,5,13,21,35,534,107,518,132,49,878,48,146,121,379,279,31,767,147,195,108,125 },
1077 { 5,2,186,45,17,29,48,50,14,61,46,155,400,1,227,171,52,58,38,54,430,209,80,281,3,106,536,311,181,243,21,502 },
1078 { 0,32,64,95,817,494,342,403,207,202,194,389,453,365,312,180,316,5,690,237,848,577,450,61,102,523,475,289,49,241,65,482 },
1079 { 23,13,51,15,202,515,1,0,2,12,115,4,700,5,165,753,77,457,21,141,128,10,3,64,403,32,197,318,9,11,33,117 },
1080 { 119,2,6,76,5,17,45,292,306,240,32,1,19,84,64,61,4,209,710,80,26,0,106,27,214,25,128,129,29,179,3,113 },
1081 { 15,515,700,1,753,0,13,23,180,120,51,2,5,33,165,197,9,450,7,260,115,523,4,12,202,141,82,77,21,102,8,6 },
1082 { 6,138,74,280,222,85,66,226,25,42,87,204,64,337,29,135,95,174,235,26,145,65,19,32,792,294,112,52,256,2,5,22 },
1083 { 39,9,0,101,333,158,49,252,310,254,272,68,16,18,159,286,344,455,30,109,627,327,24,105,419,100,364,22,35,1,329,709 },
1084 { 21,5,32,14,2,1,38,72,76,54,17,3,48,221,270,0,45,46,12,181,37,89,36,50,540,290,430,10,4,741,99,23 },
1085 { 120,137,202,269,141,260,318,450,922,494,77,291,82,15,5,351,128,1,515,326,64,854,700,352,342,21,753,678,349,32,523,90 },
1086 { 16,24,68,35,71,18,149,118,191,167,9,0,212,124,65,246,7,67,140,189,399,101,133,60,1,108,267,114,69,92,695,154 },
1087 { 28,0,9,67,1,22,109,36,55,65,194,114,39,83,49,69,2,35,103,50,158,208,86,420,168,289,505,24,7,185,5,323 },
1088 { 147,325,198,427,142,178,202,798,5,376,20,318,259,43,120,450,77,234,534,904,470,465,878,725,329,14,315,0,260,858,70,61 },
1089 { 28,0,65,9,109,1,55,67,35,22,24,39,289,7,175,14,114,2,158,124,420,194,68,16,336,36,49,69,168,570,154,505 },
1090 { 141,180,13,115,1,23,4,269,2,202,0,317,217,51,15,5,21,352,77,318,3,752,197,10,165,365,137,341,9,515,33,64 },
1091 { 15,515,700,0,753,1,2,13,23,9,51,5,4,901,33,7,8,3,12,93,180,120,197,6,82,341,10,141,22,260,457,115 },
1092 { 6,74,66,1,25,75,324,380,278,26,138,85,135,500,87,42,220,841,97,350,29,19,70,226,38,21,52,606,235,889,2,14 },
1093 { 13,23,51,12,4,15,453,0,457,1,403,165,115,3,11,2,64,5,401,10,515,37,202,33,40,32,99,475,197,700,308,17 },
1094 { 788,180,5,83,693,319,314,4,32,21,17,11,817,3,510,498,33,12,24,104,814,120,64,117,306,804,523,450,288,160,102,43 },
1095 { 15,1,515,13,2,700,23,0,4,753,3,341,5,51,33,11,10,6,77,7,115,102,180,165,141,9,197,217,901,40,12,64 },
1096 { 101,18,9,167,520,16,0,118,60,212,604,364,694,24,55,252,68,917,264,35,1,121,146,363,39,100,806,5,21,166,191,28 },
1097 { 13,23,0,33,51,141,77,4,64,2,115,217,9,102,7,202,21,10,180,3,15,128,5,269,6,32,11,16,165,352,22,317 },
1098 { 66,135,97,74,172,6,278,7,204,324,138,174,29,85,2,87,25,140,92,192,52,38,802,69,448,500,808,620,22,1,280,232 },
1099 { 2,24,69,6,97,7,1,0,14,298,423,66,67,29,150,25,189,267,124,74,607,18,36,81,172,33,83,38,52,273,71,809 },
1100 { 0,9,158,39,68,49,109,16,24,333,35,344,101,22,159,254,272,30,124,65,28,18,793,154,310,252,327,105,627,419,286,55 },
1101 { 15,515,700,10,753,33,77,180,4,341,1,197,13,115,365,23,901,317,5,102,11,217,165,117,141,40,2,3,253,21,134,55 },
1102 { 100,166,382,478,265,264,88,39,98,1,404,274,9,593,724,921,639,438,363,682,411,31,30,812,96,447,821,905,252,0,223,435 },
1103 { 19,283,436,53,297,26,813,432,27,128,42,25,390,503,122,736,73,123,605,63,389,529,630,250,690,65,381,444,6,269,108,216 },
1104 { 33,202,13,128,494,0,51,141,269,1,4,2,102,180,15,137,65,95,6,450,77,40,117,59,457,36,196,817,134,86,49,515 },
1105 { 18,16,60,68,101,167,191,118,35,121,9,212,55,0,126,1,24,647,199,146,520,107,628,621,363,71,21,28,346,92,806,727 },
1106 { 352,230,217,531,160,93,36,669,748,854,689,258,137,871,728,699,752,251,574,202,373,351,228,120,717,260,144,219,268,82,816,1 },
1107 { 15,515,700,753,13,23,0,51,8,1,4,82,165,77,110,33,10,180,5,202,11,22,120,12,9,197,115,93,403,141,40,351 },
1108 { 0,9,101,217,35,88,352,100,39,175,30,68,562,752,13,317,252,115,180,197,64,1,83,141,65,213,165,230,194,36,28,265 },
1109 { 32,64,5,470,288,90,21,147,0,95,356,22,20,519,835,312,819,18,247,182,11,97,13,4,387,49,43,298,316,48,107,7 },
1110 { 16,14,24,1,7,2,35,0,5,50,18,69,46,12,58,75,9,67,70,163,21,54,38,48,223,502,281,37,140,60,28,10 },
1111 { 18,265,9,252,39,195,354,411,1,16,132,101,121,682,167,203,5,363,146,593,35,333,21,271,60,13,100,0,156,327,7,520 },
1112 { 4,13,1,115,141,23,2,180,5,0,51,3,217,202,77,15,33,269,341,318,317,21,165,515,11,10,197,365,9,137,64,352 },
1113 { 7,24,16,14,71,35,18,92,140,189,108,149,68,60,69,150,2,230,97,66,0,458,67,1,65,251,38,314,388,267,36,46 },
1114 { 1,22,31,36,0,2,44,5,141,105,180,170,12,64,13,98,86,55,23,21,28,164,115,127,10,125,128,4,9,239,352,197 },
1115 { 66,7,97,2,192,20,52,43,135,74,560,107,104,0,750,147,414,29,580,173,324,376,226,194,77,174,204,38,356,64,16,470 },
1116 { 0,101,9,68,35,124,24,65,39,16,252,100,154,166,28,364,149,694,30,88,55,346,1,419,71,439,265,289,22,21,175,158 },
1117 { 39,9,100,30,127,0,737,856,31,836,827,254,98,931,166,88,93,1,44,190,131,228,120,395,625,385,863,264,219,373,110,28 },
1118 { 5,17,2,3,21,45,14,155,48,32,38,1,328,181,186,46,23,51,12,61,227,29,106,54,99,133,62,832,13,37,514,543 },
1119 { 131,613,30,224,228,716,274,100,827,406,219,856,39,190,31,88,1,166,9,44,829,863,931,93,0,187,625,924,127,98,137,254 },
1120 { 352,217,64,141,752,269,180,864,437,372,954,115,498,177,77,349,317,318,579,291,947,197,247,0,23,717,237,304,128,457,776,678 },
1121 { 141,217,180,317,352,115,15,341,1,23,13,365,515,752,2,64,0,5,498,700,372,165,51,237,753,77,244,197,137,4,21,253 },
1122 { 5,2,17,14,1,45,3,38,21,29,181,58,46,48,50,133,114,171,61,155,32,6,186,281,361,12,36,54,4,13,52,514 },
1123 { 6,2,119,25,790,4,45,483,655,113,1,29,76,26,32,19,887,17,128,0,292,833,59,61,106,64,77,814,14,151,84,42 },
1124 { 13,23,2,0,51,4,1,115,141,3,5,180,33,217,77,9,202,11,7,15,10,6,317,64,21,197,515,165,102,128,22,269 },
1125 { 13,23,51,202,21,5,1,15,141,165,120,2,115,12,32,0,515,128,318,64,125,700,4,403,197,453,180,457,3,7,10,6 },
1126 { 9,39,31,30,0,127,1,44,100,131,98,187,385,276,88,442,219,908,254,116,49,166,935,28,201,36,141,827,137,299,284,21 },
1127 { 22,49,28,109,9,185,105,95,1,131,159,272,36,67,86,254,39,55,35,0,505,31,83,169,208,327,286,98,168,535,312,708 },
1128 { 5,1,2,21,0,12,48,22,10,14,36,3,32,17,23,54,86,38,4,51,13,37,137,50,65,281,114,45,28,99,58,202 },
1129 { 141,269,352,82,217,351,180,854,372,922,752,1,15,260,317,318,515,202,64,700,120,349,954,753,77,35,67,717,898,137,365,115 },
1130 { 144,203,613,418,326,406,96,669,137,679,1,228,494,822,840,317,36,83,855,160,817,859,856,816,217,831,345,93,876,77,44,251 },
1131 { 15,13,515,23,700,753,51,1,33,0,202,21,2,5,180,141,120,165,217,82,12,117,4,352,269,197,115,32,3,9,134,260 },
1132 { 13,23,115,1,0,51,4,77,2,33,15,141,10,5,341,180,515,3,217,202,9,365,317,64,700,102,11,165,197,22,753,7 },
1133 { 531,943,373,160,728,93,206,260,261,559,964,269,717,535,332,384,365,295,110,533,141,10,180,352,244,137,120,55,959,564,36,253 },
1134 { 1,31,36,170,22,55,44,10,86,64,127,0,2,98,301,164,740,338,237,143,5,125,116,13,242,141,299,180,23,169,105,12 },
1135 { 13,23,141,77,51,4,64,32,33,202,115,269,102,128,21,0,177,180,318,90,40,10,7,5,137,15,217,352,9,291,59,22 },
1136 { 202,120,260,318,77,15,450,269,1,82,33,23,141,13,51,515,351,128,700,5,64,326,137,21,102,110,753,494,93,523,817,165 },
1137 { 523,899,102,33,730,15,23,403,719,117,153,13,515,51,475,4,700,5,453,817,196,753,494,40,202,120,1,2,450,457,17,421 },
1138 { 202,403,494,450,120,817,523,475,318,453,33,402,128,77,13,51,260,576,342,102,15,23,515,4,700,5,82,753,326,210,137,615 },
1139 { 2,29,112,66,7,52,70,151,58,87,135,5,74,226,307,6,14,186,1,45,549,172,644,25,113,287,46,155,334,64,294,97 },
1140 { 1,77,349,291,260,120,652,102,5,39,64,269,9,33,340,342,13,98,888,698,23,296,100,318,51,202,87,137,638,128,50,850 },
1141 { 1,13,15,2,0,4,23,515,5,141,180,3,700,341,115,51,753,269,77,901,197,352,217,33,21,11,365,6,165,202,7,317 },
1142 { 7,14,16,2,46,5,70,58,1,38,24,35,92,163,0,75,21,18,50,54,140,12,87,220,155,69,171,23,60,9,13,307 },
1143 { 2,29,66,226,135,7,87,74,52,278,6,75,222,220,294,70,97,1,145,25,172,262,324,38,69,112,331,92,5,14,140,26 },
1144 { 15,515,700,753,33,77,117,4,1,102,134,40,153,11,13,196,217,21,5,51,23,115,32,3,2,202,141,137,128,291,48,177 },
1145 { 15,217,82,515,351,141,317,1,13,700,260,77,110,120,115,854,23,753,180,51,21,36,137,922,5,64,365,352,291,202,93,341 },
1146 { 31,190,30,373,120,110,863,88,44,127,908,856,260,318,82,98,93,187,836,717,935,39,442,131,141,254,228,219,1,968,77,116 },
1147 { 23,13,308,9,165,115,51,21,401,125,49,39,197,391,159,254,217,743,28,438,773,629,558,386,341,95,32,317,876,679,109,166 },
1148 { 49,5,43,165,7,0,21,104,125,22,173,422,64,13,623,102,20,18,314,95,91,141,23,31,193,51,391,900,779,558,92,232 },
1149 { 1,4,13,2,15,0,23,515,77,3,341,33,5,700,115,51,202,753,141,180,11,10,102,217,6,901,40,7,197,318,317,365 },
1150 { 93,843,295,120,36,160,206,261,10,137,567,110,384,141,943,268,201,332,258,55,1,180,64,116,44,144,699,203,282,31,260,373 },
1151 { 81,7,192,426,43,173,172,104,879,91,5,712,715,526,6,97,568,95,448,66,33,861,560,32,49,20,0,636,232,825,2,22 },
1152 { 475,403,51,453,33,102,13,23,494,202,0,196,15,77,153,18,4,117,515,450,318,22,730,128,700,421,65,753,269,402,134,817 },
1153 { 141,269,260,318,202,120,352,349,82,351,1,5,854,137,64,291,15,922,180,851,32,77,515,372,21,700,7,217,13,947,33,753 },
1154 { 15,515,700,753,1,13,0,2,4,23,3,5,180,115,197,12,51,165,217,10,961,9,6,141,352,21,8,7,33,77,457,120 },
1155 { 39,166,9,30,0,101,274,404,252,333,190,100,158,438,310,88,68,265,656,21,1,530,329,344,49,539,625,254,13,131,48,419 },
1156 { 0,1,28,9,22,12,65,83,67,36,5,2,50,55,96,109,16,13,24,23,21,238,49,18,285,160,128,39,69,114,7,323 },
1157 { 15,515,700,1,0,753,23,2,13,51,5,180,115,6,3,9,197,12,457,120,7,165,901,82,4,21,8,141,31,33,719,341 },
1158 { 9,39,30,0,28,166,22,49,180,1,352,35,317,158,88,141,498,131,115,345,752,128,228,217,100,83,219,930,13,251,365,36 },
1159 { 5,61,45,2,80,29,311,209,6,17,58,1,151,106,454,667,243,70,52,496,287,592,255,738,64,74,483,14,27,32,112,19 },
1160 { 31,125,22,44,299,456,685,242,599,116,170,28,0,1,492,393,506,144,558,10,268,301,239,23,13,36,963,367,55,206,105,95 },
1161 { 187,258,926,574,839,93,228,860,406,219,871,160,137,531,224,116,120,902,669,201,36,131,44,144,843,533,318,384,442,1,434,268 },
1162 { 7,107,75,16,87,9,64,177,24,18,291,77,349,141,60,232,23,0,51,269,132,14,5,21,70,32,678,112,126,121,71,947 },
1163 { 15,515,700,753,1,0,2,13,5,3,23,180,4,115,901,51,6,8,961,9,7,10,12,82,197,22,141,341,33,120,365,457 },
1164 { 13,23,51,1,5,202,2,12,15,21,165,141,0,115,3,4,32,515,197,10,180,318,128,120,64,700,6,7,403,269,457,137 },
1165 { 1,2,0,77,64,3,141,13,33,15,23,10,6,102,5,515,180,4,117,7,700,165,11,217,269,40,753,115,128,17,197,134 },
1166 { 345,531,332,269,260,317,717,752,373,351,180,352,728,82,10,365,160,533,217,143,498,251,244,93,341,901,36,1,141,898,55,864 },
1167 { 16,7,33,189,92,77,388,60,140,35,102,24,14,1,230,21,150,117,733,314,18,915,71,13,108,134,5,64,69,2,98,22 },
1168 { 142,202,234,178,5,786,77,49,70,0,416,450,639,878,1,48,21,929,147,259,315,455,198,120,12,481,163,113,846,329,318,22 },
1169 { 81,715,192,0,173,712,681,104,636,91,74,20,750,370,7,718,95,879,22,43,825,560,422,64,207,49,172,18,397,10,426,319 },
1170 { 13,23,15,51,515,0,700,753,4,1,961,2,10,115,457,11,33,453,3,5,9,40,12,197,165,77,401,475,64,102,22,569 },
1171 { 64,297,5,445,95,61,250,311,80,34,17,312,45,2,86,472,58,14,180,53,22,151,869,738,247,237,29,1,128,165,21,288 },
1172 { 16,24,18,71,7,35,118,92,14,154,60,68,0,149,28,302,124,150,55,175,2,9,97,1,429,20,108,273,22,65,43,126 },
1173 { 195,360,156,771,132,163,626,687,591,371,883,146,121,846,70,586,379,13,293,98,407,48,761,296,354,18,31,1,55,49,21,105 },
1174 { 202,13,77,23,318,33,51,0,4,141,5,21,217,32,291,102,64,128,15,10,9,494,269,137,515,403,1,31,117,700,120,317 },
1175 { 7,192,97,81,172,66,426,173,43,715,712,232,861,879,104,330,568,298,74,893,885,526,387,825,92,140,91,14,636,6,5,448 },
1176 { 2,1,14,6,67,7,65,69,24,36,66,124,108,83,38,29,22,86,0,18,484,5,28,46,12,10,25,302,150,16,650,74 },
1177 { 33,77,13,202,102,4,0,23,128,51,141,64,318,22,403,269,137,10,15,40,494,117,32,59,11,153,1,21,177,196,515,115 },
1178 { 269,141,318,77,349,291,217,202,33,15,372,304,515,22,102,177,351,700,352,120,5,137,10,317,260,753,64,851,854,403,49,21 },
1179 { 6,74,66,85,138,25,87,42,135,26,226,222,280,29,75,500,220,278,792,70,19,2,1,294,204,64,32,145,853,112,52,174 },
1180 { 9,0,105,39,16,18,1,101,272,31,127,98,24,518,333,252,310,28,68,737,846,371,158,916,938,49,30,7,286,35,301,455 },
1181 { 2,1,14,67,24,46,83,108,69,29,38,103,114,36,6,133,18,0,28,7,65,52,236,75,50,398,5,309,135,16,278,160 },
1182 { 22,1,28,105,49,95,0,2,67,55,36,239,168,159,65,35,14,170,320,164,9,7,10,5,114,12,83,64,194,109,24,301 },
1183 { 7,66,172,97,92,140,232,568,298,14,192,314,16,380,135,324,2,330,74,38,357,448,126,69,35,5,107,6,387,60,204,572 },
1184 { 2,29,1,14,5,6,46,133,114,50,52,26,218,108,19,13,366,236,27,45,70,17,58,23,86,51,137,65,112,38,25,12 },
1185 { 6,1,74,25,2,26,29,66,42,19,75,14,388,67,108,70,52,85,103,65,38,138,357,133,114,594,324,516,603,96,309,69 },
1186 { 22,9,28,1,36,49,109,105,86,95,131,31,169,39,0,141,272,159,44,55,98,180,13,30,185,115,83,128,352,137,64,208 },
1187 { 203,822,326,23,77,859,403,494,576,39,473,182,33,1,691,100,18,217,13,817,411,447,363,102,93,966,96,478,291,704,310,120 },
1188 { 15,515,700,753,33,77,117,4,102,134,115,153,13,1,40,217,11,196,341,2,5,3,23,317,365,0,21,291,32,51,12,569 },
1189 { 15,515,700,753,13,0,23,1,8,82,51,165,197,120,180,2,9,33,4,110,5,12,10,260,351,386,141,7,457,475,93,901 },
1190 { 1,23,13,15,51,0,21,2,515,5,141,180,120,165,700,202,197,4,753,12,33,9,7,82,115,93,3,352,260,6,110,48 },
1191 { 15,515,700,753,0,1,2,5,3,4,8,13,180,341,10,23,7,6,9,51,77,197,961,115,165,82,120,31,22,202,457,217 },
1192 { 559,661,922,564,141,533,10,317,373,110,143,269,244,260,332,261,93,642,752,295,351,876,531,843,180,206,728,384,352,1,434,120 },
1193 { 15,515,1,0,700,2,13,23,753,5,51,180,3,165,12,6,197,115,4,9,7,21,719,8,457,82,141,120,33,22,901,10 },
1194 { 198,234,0,325,5,77,202,416,20,147,32,43,639,315,49,61,450,455,142,21,113,230,22,318,725,342,207,13,95,904,494,10 },
1195 { 447,264,363,9,411,676,682,1,156,664,821,478,166,354,812,39,100,905,382,897,98,18,759,404,31,101,724,5,265,223,88,13 },
1196 { 24,14,69,16,35,18,2,7,108,189,71,67,267,149,1,46,68,83,38,140,0,236,251,9,388,60,133,103,65,28,29,50 },
1197 { 16,7,35,20,14,18,109,2,43,120,107,60,1,121,326,907,553,77,13,147,23,82,68,260,0,403,5,24,202,126,265,199 },
1198 { 30,131,187,276,31,44,613,442,39,9,190,228,1,839,116,935,908,219,127,88,244,224,110,137,93,201,98,141,36,567,0,856 },
1199 { 98,223,1,393,812,265,100,421,593,834,697,48,51,410,791,382,21,88,31,284,9,125,96,293,230,23,213,217,656,689,541,5 },
1200 { 98,51,127,219,616,258,105,293,395,421,924,512,31,308,23,201,116,44,301,272,763,276,125,13,453,170,401,295,261,944,115,567 },
1201 { 253,110,951,352,811,206,332,180,141,244,282,10,854,417,642,638,559,752,143,911,260,55,93,533,499,498,661,120,351,959,564,341 },
1202 { 49,9,159,254,272,158,0,131,28,39,627,105,327,286,22,518,688,578,68,347,374,101,224,424,95,35,219,24,16,364,65,344 },
1203 { 105,22,131,272,98,286,327,109,374,239,28,95,320,219,9,224,55,127,187,36,578,169,64,185,538,1,159,10,371,634,49,616 },
1204 { 691,478,340,1,658,914,724,363,744,698,156,772,411,296,682,447,9,284,335,98,264,303,909,21,354,410,225,13,664,686,88,919 },
1205 { 16,24,35,18,71,7,140,108,189,267,92,60,14,230,68,69,9,1,149,46,246,191,388,167,2,0,118,236,133,21,674,5 },
1206 { 9,0,127,31,98,371,395,39,737,49,1,44,385,272,512,28,293,242,836,761,254,299,101,16,187,22,116,158,159,131,18,21 },
1207 { 16,18,68,0,60,35,9,101,252,28,118,24,419,55,7,109,604,71,39,121,22,364,14,158,191,167,925,126,329,21,92,49 },
1208 { 116,268,203,93,206,692,551,31,417,940,499,8,473,44,202,523,959,0,120,137,559,22,450,403,576,10,728,299,13,326,51,1 },
1209 { 225,459,744,1,919,914,691,330,622,21,141,223,5,284,934,335,88,538,340,82,385,839,363,120,478,98,48,30,64,32,686,166 },
1210 { 5,1,2,0,14,36,21,281,12,48,50,67,22,28,54,83,24,218,38,10,181,9,32,18,65,58,45,114,430,17,99,37 },
1211 { 137,450,202,704,120,260,326,318,968,269,851,403,291,77,23,141,182,310,494,373,351,457,82,890,349,110,60,128,817,678,105,96 },
1212 { 15,515,700,753,4,33,13,23,77,5,40,11,102,93,1,21,110,51,82,117,141,2,10,8,32,64,120,31,202,3,217,115 },
1213 { 15,13,1,23,515,0,51,2,700,5,753,21,180,141,165,3,12,115,197,4,7,6,457,9,352,202,33,8,719,120,77,341 },
1214 { 219,127,258,98,276,201,131,395,944,293,116,284,567,31,242,105,137,935,295,44,403,860,51,224,576,456,9,371,578,475,202,512 },
1215 { 16,7,18,35,60,0,14,20,118,28,68,22,2,24,1,92,158,107,5,49,154,126,109,12,43,10,55,6,677,71,21,168 },
1216 { 93,728,531,160,559,373,574,120,295,860,533,269,717,260,926,902,258,318,36,201,261,434,851,137,617,141,187,352,843,384,332,251 },
1217 { 28,0,1,9,22,109,83,39,49,12,36,67,55,5,96,2,128,30,158,69,21,23,160,208,35,13,65,323,50,141,194,238 },
1218 { 23,13,51,1,5,15,141,21,0,2,165,515,202,700,12,197,180,120,32,115,4,753,64,9,7,269,6,3,125,386,48,453 },
1219 { 5,21,13,49,14,20,7,23,43,32,1,0,652,48,713,22,38,2,16,132,955,107,12,279,24,888,197,640,70,303,18,638 },
1220 { 9,0,28,39,1,30,35,101,22,67,83,141,49,175,36,68,55,88,13,251,10,69,23,158,180,115,64,100,217,65,345,166 },
1221 { 260,120,82,269,5,450,351,1,202,141,854,13,77,922,32,33,137,4,23,125,291,21,15,515,165,349,177,700,318,326,180,753 },
1222 { 121,16,18,35,363,101,60,20,107,14,68,259,621,55,604,43,7,252,9,364,126,0,167,191,5,407,132,28,199,419,146,10 },
1223 { 13,23,51,1,15,0,2,141,5,515,12,21,700,115,165,180,4,753,3,197,202,32,9,120,7,8,6,11,37,10,457,269 },
1224 { 201,144,206,443,418,203,435,96,335,459,187,1,88,332,330,321,269,934,30,372,822,521,268,326,44,523,382,141,410,264,494,473 },
1225 { 31,44,276,201,116,131,284,662,567,144,9,489,98,295,268,434,0,30,137,39,93,1,187,22,219,918,110,299,141,36,224,384 },
1226 { 520,478,664,1,264,604,9,167,777,759,411,0,806,724,48,21,101,68,647,936,363,223,118,682,410,18,100,16,252,98,265,13 },
1227 { 23,70,21,87,60,75,120,182,163,379,92,18,7,937,71,121,446,132,24,98,931,126,107,77,795,195,115,44,411,146,51,850 },
1228 { 39,9,0,737,127,31,846,98,1,827,105,310,371,30,254,100,44,18,395,242,272,101,385,916,836,16,265,131,938,93,166,557 },
1229 { 279,20,43,126,107,7,92,16,356,362,60,595,246,359,598,35,0,683,939,653,121,97,125,441,399,392,150,199,48,230,14,649 },
1230 { 206,417,93,959,499,728,8,559,120,473,137,141,10,564,31,260,44,450,203,341,253,244,373,116,143,638,268,180,352,110,318,940 },
1231 { 259,465,147,132,590,687,534,199,581,146,941,427,107,640,279,178,121,5,195,150,522,955,198,35,786,929,798,142,1,21,325,626 },
1232 { 523,15,120,450,202,515,403,51,817,700,13,753,23,457,33,899,128,64,730,102,494,342,115,719,453,196,49,99,318,421,308,5 },
1233 { 141,559,10,244,365,564,661,180,253,143,752,110,55,317,533,341,901,93,373,206,535,160,82,922,260,36,531,964,352,332,261,197 },
1234 { 219,258,98,127,276,964,943,137,843,535,201,935,131,860,261,295,284,567,206,44,116,31,253,492,203,332,160,615,36,93,55,692 },
1235 { 0,319,422,207,945,693,577,887,32,804,95,344,104,904,61,20,5,43,7,725,113,510,306,102,49,263,153,426,33,83,22,9 },
1236 { 1,22,0,5,12,2,36,21,28,86,49,105,9,10,23,13,141,95,31,55,128,37,51,4,83,202,3,64,96,7,32,44 },
1237 { 15,515,13,700,1,0,753,2,23,3,4,5,51,10,115,197,6,33,12,9,165,7,8,77,11,961,180,269,141,22,120,457 },
1238 { 15,1,23,120,77,13,515,51,141,202,700,180,110,137,260,753,326,5,128,102,0,21,2,165,269,33,197,450,318,217,93,115 },
1239 { 15,515,1,700,0,753,13,2,23,180,51,5,120,4,9,115,197,12,7,165,21,33,6,82,3,8,523,901,31,141,457,260 },
1240 { 16,18,24,7,92,35,60,75,9,13,71,14,0,108,50,21,126,121,1,140,23,5,132,146,2,12,128,10,64,141,70,87 },
1241 { 180,341,901,15,515,1,365,700,0,2,197,753,115,4,10,13,752,5,3,8,165,317,141,23,143,873,44,31,569,55,93,6 },
1242 { 9,0,175,35,101,28,39,67,68,1,65,83,30,69,364,336,22,114,55,124,194,158,100,289,252,166,64,345,103,36,50,88 },
1243 { 64,165,180,197,115,247,217,237,21,13,32,316,22,141,352,72,288,304,95,225,76,391,386,16,468,90,49,35,365,640,372,23 },
1244 { 15,515,700,13,753,1,0,2,23,4,5,3,115,51,141,197,12,10,180,961,7,9,21,33,217,6,8,165,457,11,77,341 },
1245 { 132,121,199,146,60,279,493,640,407,598,126,195,534,581,955,590,107,5,150,35,522,49,259,16,18,360,156,0,147,362,21,167 },
1246 { 0,1,28,9,22,5,36,12,65,24,67,96,2,83,18,50,114,55,21,16,7,10,23,14,13,160,137,51,48,218,103,69 },
1247 { 93,120,957,77,30,968,459,110,137,160,613,102,202,352,373,141,31,372,217,330,190,318,269,260,203,44,28,473,228,177,863,704 },
1248 { 15,515,700,0,753,1,13,23,2,51,5,9,120,82,4,7,901,197,10,8,260,180,341,12,33,6,3,523,165,102,115,141 },
1249 { 206,417,8,141,499,44,244,93,31,10,137,253,559,116,728,144,120,564,269,638,203,352,143,260,341,752,268,717,951,180,160,110 },
1250 { 530,254,228,1,96,21,406,39,827,31,669,840,613,829,137,679,166,98,23,51,960,438,131,93,48,224,219,317,310,36,876,190 },
1251 { 15,515,700,753,13,457,0,197,719,1,165,82,23,8,120,730,2,10,12,180,134,5,9,141,260,4,351,51,115,3,341,899 },
1252 { 0,16,68,9,24,28,18,35,252,109,39,419,124,158,154,55,101,71,22,118,60,7,49,65,333,14,1,10,329,364,677,346 },
1253 { 1,15,13,23,515,51,120,0,700,180,2,165,5,753,141,197,21,33,202,102,260,4,9,12,7,326,137,450,115,6,82,110 },
1254 { 535,253,352,564,110,365,82,180,341,10,854,533,55,898,244,901,873,141,752,143,642,559,498,317,36,951,115,964,638,282,661,197 },
1255 { 31,44,125,338,116,64,242,36,1,10,55,22,456,237,180,13,299,164,506,86,23,165,558,143,0,762,492,479,844,546,93,8 },
1256 { 13,23,4,1,202,2,0,51,115,77,141,180,5,15,217,3,33,11,515,317,9,10,102,21,700,341,365,318,269,64,32,128 },
1257 { 9,39,0,166,68,101,28,364,30,158,562,35,175,65,333,154,49,404,706,124,21,252,274,168,190,289,100,570,16,1,310,346 },
1258 { 15,515,700,753,341,13,0,23,1,33,141,4,260,82,77,51,351,180,9,5,115,137,10,217,11,120,102,40,349,269,202,854 }
1259 #else
1260 #include "rgbcx_table4.h"
1261 #endif
1262 };
1263
1264 static uint8_t g_best_total_orderings3[NUM_UNIQUE_TOTAL_ORDERINGS3][32] =
1265 {
1266 { 12,1,3,5,27,2,4,38,8,7,16,18,6,10,41,79,40,23,46,9,20,88,22,37,14,19,24,126,99,119,35,11 },
1267 { 7,64,116,14,94,30,8,42,1,108,47,55,137,10,134,95,96,115,69,32,63,29,90,113,11,148,16,103,19,9,34,25 },
1268 { 12,1,0,5,3,7,4,27,8,6,38,40,41,16,18,46,9,10,20,23,79,62,14,22,88,99,37,126,92,19,120,11 },
1269 { 16,88,27,18,46,48,126,107,79,19,59,38,37,65,23,66,0,2,3,43,12,151,28,25,5,87,72,40,1,20,52,92 },
1270 { 79,48,88,16,27,65,18,38,46,19,37,4,72,33,126,41,52,0,12,92,5,1,2,107,3,77,23,91,43,51,22,74 },
1271 { 1,8,41,122,10,22,2,0,87,24,37,120,38,7,39,4,5,3,9,92,62,59,23,16,104,11,27,79,19,26,25,32 },
1272 { 2,76,99,28,40,86,93,21,138,60,6,0,17,128,145,119,98,144,141,82,147,54,67,75,5,12,27,132,146,1,38,14 },
1273 { 47,7,64,90,1,118,116,85,57,14,30,94,50,45,137,134,8,42,69,139,55,68,58,108,95,29,10,115,0,32,2,11 },
1274 { 49,8,10,30,124,11,32,113,130,58,125,9,100,53,104,115,131,103,24,7,1,39,45,36,139,0,137,22,90,44,114,105 },
1275 { 9,38,72,125,49,41,84,11,13,5,27,0,16,92,8,2,65,105,10,18,48,29,127,131,36,14,1,46,111,79,130,12 },
1276 { 130,8,10,100,104,131,49,32,53,39,30,36,113,24,11,22,124,44,83,58,7,103,1,4,9,125,5,0,91,33,115,74 },
1277 { 114,11,58,8,120,49,9,124,142,111,41,30,10,0,97,130,62,84,38,5,72,125,92,127,100,27,139,113,13,132,32,1 },
1278 { 60,46,28,27,40,20,0,17,18,2,126,16,6,38,86,23,79,54,1,93,5,88,41,14,21,111,7,48,3,84,72,62 },
1279 { 72,92,38,65,84,48,41,79,27,16,29,111,88,5,18,46,1,0,152,14,37,19,77,42,132,7,22,13,119,56,12,2 },
1280 { 7,55,1,95,29,56,64,116,143,8,14,30,47,94,152,90,65,67,10,133,42,72,146,84,16,48,6,0,25,108,77,21 },
1281 { 27,23,20,5,0,79,38,2,3,1,59,46,4,41,33,86,37,87,88,92,7,126,43,8,22,152,151,150,149,148,147,146 },
1282 { 12,0,1,2,7,6,3,5,28,4,8,14,60,40,17,19,21,86,126,93,10,18,9,29,48,99,65,25,84,119,72,41 },
1283 { 60,40,99,2,54,12,0,1,19,28,98,93,6,138,21,5,27,17,151,14,76,46,16,18,38,29,86,144,107,7,25,41 },
1284 { 12,0,1,2,3,5,6,7,4,28,8,60,14,40,16,17,21,10,19,9,86,38,126,41,93,27,29,48,62,84,79,99 },
1285 { 0,1,2,10,5,8,3,25,4,29,32,34,63,7,77,26,16,48,65,56,14,22,129,103,72,24,18,152,140,53,96,42 },
1286 { 46,126,18,54,12,16,1,0,5,2,27,98,20,23,6,3,88,48,28,7,19,8,4,60,151,38,37,21,79,14,65,40 },
1287 { 76,6,141,86,119,2,138,67,28,145,0,93,17,1,40,60,146,99,147,14,21,144,132,7,5,29,55,27,16,75,19,12 },
1288 { 71,5,51,39,22,80,0,43,10,122,8,62,41,24,104,87,35,37,2,91,33,120,36,38,1,131,9,100,130,66,3,4 },
1289 { 126,18,46,27,20,16,88,23,12,79,54,59,48,0,73,1,37,151,5,19,28,38,2,66,60,3,65,98,14,26,6,43 },
1290 { 22,10,8,5,0,71,35,80,104,39,24,51,100,1,62,32,2,130,11,41,7,9,53,43,49,83,122,120,30,44,37,38 },
1291 { 1,34,14,129,53,63,42,26,121,148,7,44,96,10,0,24,100,32,64,116,140,22,5,19,29,103,135,108,8,61,39,83 },
1292 { 1,7,34,63,44,25,135,14,24,108,22,0,83,94,5,129,35,101,47,121,2,19,42,53,6,110,103,8,148,10,16,123 },
1293 { 12,28,16,60,18,1,6,21,14,0,86,19,2,48,93,17,38,29,7,5,65,126,46,72,41,79,84,119,40,56,54,88 },
1294 { 0,2,12,27,5,46,38,40,41,79,88,99,3,23,1,62,20,4,22,37,92,35,18,8,16,24,10,60,7,120,98,54 },
1295 { 1,7,14,56,8,0,84,67,10,2,133,72,42,111,5,30,21,4,9,3,25,94,16,116,47,11,65,18,132,90,55,64 },
1296 { 30,8,124,139,45,11,58,90,113,137,7,115,10,32,1,49,94,85,9,47,108,103,0,97,63,14,50,114,53,106,100,25 },
1297 { 65,38,48,27,16,79,72,18,88,19,46,77,84,92,37,41,0,29,1,14,12,111,2,5,31,36,87,74,105,40,28,51 },
1298 { 10,8,30,113,130,100,53,32,115,103,104,7,1,121,39,49,131,44,24,36,63,137,34,45,22,90,108,83,26,11,94,139 },
1299 { 51,52,43,33,5,74,16,37,71,91,38,3,36,87,48,22,4,0,122,41,39,18,66,27,79,24,65,88,59,23,62,92 },
1300 { 1,7,63,53,108,121,94,44,103,100,14,10,129,47,32,26,24,25,148,42,135,22,0,61,83,8,39,104,5,64,115,34 },
1301 { 1,8,10,7,5,0,80,32,62,2,24,44,53,83,9,41,30,22,100,11,14,25,120,4,26,6,3,16,122,34,19,35 },
1302 { 74,4,36,48,33,91,39,79,22,16,65,5,131,38,24,71,27,52,0,105,51,18,88,104,3,31,10,37,72,19,41,130 },
1303 { 59,43,38,79,23,27,92,51,0,16,46,5,18,88,41,37,66,3,87,20,48,2,122,4,22,12,1,126,19,65,33,24 },
1304 { 12,28,1,27,0,16,2,46,65,60,21,3,5,18,6,19,48,14,4,7,79,88,86,29,22,72,93,40,23,8,17,41 },
1305 { 22,91,39,33,24,71,5,131,36,10,51,0,130,8,104,2,35,125,9,43,52,49,83,80,100,41,122,3,37,38,4,16 },
1306 { 12,0,1,2,5,3,4,8,7,27,18,38,10,6,16,46,9,20,41,23,126,79,22,14,19,99,88,54,37,48,62,35 },
1307 { 12,27,1,2,3,0,46,4,38,16,8,28,7,79,18,5,84,6,88,10,14,21,23,20,40,22,60,19,9,29,72,65 },
1308 { 1,14,7,55,95,29,8,94,30,56,10,108,77,116,152,64,32,48,63,42,143,148,16,25,137,65,11,0,115,9,19,72 },
1309 { 37,79,66,38,16,52,48,59,43,27,87,33,41,4,23,51,3,5,88,18,92,46,73,122,22,71,20,0,65,19,2,120 },
1310 { 24,32,83,22,53,1,8,10,7,30,35,5,103,0,100,101,121,113,34,123,63,2,44,25,71,115,80,14,26,108,51,39 },
1311 { 97,45,111,58,85,139,0,90,47,7,120,106,142,30,50,132,41,62,84,1,119,114,14,56,117,8,38,29,2,64,116,5 },
1312 { 12,28,16,18,1,60,6,14,2,21,0,86,126,19,48,93,7,27,17,29,5,65,54,38,72,79,84,88,119,145,8,111 },
1313 { 118,47,64,116,57,85,7,14,50,1,42,0,45,68,86,69,2,111,134,28,90,55,16,29,56,48,84,144,60,30,112,41 },
1314 { 12,1,2,0,7,6,28,5,3,4,8,14,60,21,18,40,17,86,10,9,16,29,19,93,126,79,38,84,72,27,111,119 },
1315 { 11,8,49,130,10,125,9,124,100,114,131,30,58,104,32,39,24,113,36,105,0,41,22,120,5,53,111,38,142,44,83,35 },
1316 { 50,70,47,118,85,57,106,0,45,7,64,90,81,14,2,134,28,62,86,55,69,1,78,119,68,56,18,67,16,60,29,21 },
1317 { 43,37,33,87,51,41,66,5,122,38,22,59,92,0,23,91,27,16,71,79,18,52,120,4,3,24,46,20,73,39,62,36 },
1318 { 79,48,4,16,27,88,43,33,18,38,65,37,46,3,19,51,52,22,66,87,74,5,41,91,23,59,0,71,122,72,20,92 },
1319 { 32,100,10,8,30,104,24,44,39,113,83,103,1,7,22,53,115,63,135,121,26,35,34,5,0,108,137,90,91,45,2,130 },
1320 { 0,1,2,5,16,12,6,7,14,3,19,18,29,20,4,21,40,8,17,35,23,48,126,22,25,56,26,10,98,27,38,65 },
1321 { 143,67,56,146,1,7,133,55,64,141,134,69,6,47,14,29,84,21,111,147,57,16,95,72,118,132,50,0,2,18,119,42 },
1322 { 1,7,67,14,133,111,8,84,0,21,2,47,64,132,55,10,95,147,119,42,16,5,72,56,4,3,6,29,9,25,18,30 },
1323 { 68,57,69,112,144,86,102,2,134,55,0,70,118,64,75,47,14,28,93,143,67,7,50,149,1,21,29,56,119,95,60,78 },
1324 { 58,97,114,30,124,45,11,139,8,90,0,142,7,10,41,113,84,62,49,111,85,1,9,5,137,120,32,14,2,117,47,38 },
1325 { 23,66,18,79,38,20,43,27,16,88,46,59,126,37,87,12,73,92,3,5,48,0,19,54,2,51,28,1,41,65,122,22 },
1326 { 0,12,2,27,5,40,46,38,1,41,3,79,88,23,99,4,20,62,22,54,92,18,8,37,16,35,10,7,19,120,144,24 },
1327 { 1,14,25,26,0,7,44,34,129,42,24,5,135,22,19,148,6,96,83,2,29,16,63,35,101,64,140,136,116,110,3,10 },
1328 { 12,1,2,27,3,4,38,5,7,8,18,16,46,6,0,40,41,10,79,23,88,9,20,22,14,19,37,92,48,126,28,21 },
1329 { 7,1,10,32,108,103,94,47,8,53,25,14,34,115,100,129,121,130,148,42,64,116,63,26,44,0,24,30,113,4,104,22 },
1330 { 47,134,7,14,55,69,64,95,1,29,85,118,56,116,45,57,102,143,50,90,42,30,16,94,0,8,67,75,133,2,18,48 },
1331 { 12,1,2,0,7,6,28,8,14,5,3,4,40,21,17,18,60,86,16,93,126,10,9,29,99,38,119,25,19,54,27,84 },
1332 { 59,16,27,18,23,88,79,37,46,66,38,20,73,126,3,43,48,87,92,51,41,12,19,5,52,107,65,0,151,122,54,2 },
1333 { 1,21,147,7,119,14,76,132,55,0,86,145,2,6,69,67,16,143,111,138,17,28,29,60,18,93,8,19,40,56,84,5 },
1334 { 144,86,112,2,68,102,69,0,149,93,75,28,57,55,145,60,21,67,99,134,143,40,146,119,82,110,62,6,29,26,78,14 },
1335 { 102,57,55,69,143,75,146,67,56,68,134,2,29,141,0,21,6,14,133,118,64,1,7,95,47,84,111,28,147,82,72,119 },
1336 { 0,70,57,119,50,145,2,86,28,118,69,78,149,47,60,68,67,55,93,81,134,21,14,62,64,7,5,1,132,85,41,16 },
1337 { 51,5,43,71,122,87,41,37,91,39,0,22,33,36,38,24,66,120,62,2,80,16,92,10,59,4,27,23,35,79,8,3 },
1338 { 12,1,2,0,7,6,28,5,8,14,3,21,40,4,60,17,86,18,16,93,10,9,126,119,99,29,19,41,38,27,25,92 },
1339 { 27,18,46,126,23,16,88,79,20,151,59,73,48,38,0,54,12,2,37,1,19,5,28,60,66,41,3,109,86,65,40,6 },
1340 { 48,79,4,33,16,74,65,38,88,27,91,52,18,36,22,19,46,0,37,3,51,5,71,39,72,43,24,41,92,87,2,10 },
1341 { 86,2,144,93,28,112,141,6,102,21,99,60,75,0,68,82,69,146,67,149,55,40,145,76,111,147,56,119,110,143,26,132 },
1342 { 6,138,2,99,86,17,40,93,28,21,145,141,0,60,119,147,128,76,67,54,1,12,5,27,144,14,38,98,146,41,29,19 },
1343 { 1,8,0,10,2,29,7,5,3,56,4,25,14,152,63,32,65,72,96,42,34,108,48,9,26,16,84,103,67,148,22,129 },
1344 { 149,145,0,86,2,28,93,144,62,60,119,101,21,41,5,35,78,99,26,40,12,68,57,67,110,120,69,18,55,76,132,70 },
1345 { 12,28,16,1,48,19,6,60,2,14,18,21,0,27,46,65,86,29,5,7,72,93,40,3,17,84,56,88,126,4,38,8 },
1346 { 1,8,5,10,7,24,2,62,0,41,22,122,120,9,4,3,32,87,11,37,38,83,100,44,25,104,16,26,39,80,14,6 },
1347 { 0,119,62,86,145,149,28,132,93,2,120,67,60,41,35,5,144,21,123,38,111,81,84,56,12,44,24,50,92,55,40,22 },
1348 { 2,93,99,28,40,144,60,0,86,150,76,21,149,98,6,25,1,61,82,26,12,5,54,141,7,18,145,16,27,138,110,38 },
1349 { 24,8,10,22,32,35,100,5,1,53,0,7,71,80,30,123,83,104,51,11,2,39,44,113,9,62,25,103,34,101,43,41 },
1350 { 12,1,2,0,7,6,28,5,40,60,8,16,3,18,14,4,86,21,17,93,41,10,9,99,27,119,38,19,126,22,48,145 },
1351 { 45,47,50,7,85,90,97,1,64,139,116,118,30,58,14,106,70,111,0,57,94,42,137,142,29,120,8,56,18,134,84,41 },
1352 { 12,0,2,5,27,38,1,46,41,40,79,144,3,22,88,23,28,60,99,62,6,24,26,7,4,16,10,35,37,18,14,20 },
1353 { 37,38,59,92,0,5,23,51,79,41,27,22,2,3,87,16,46,4,1,43,20,33,18,88,24,71,8,10,48,19,126,122 },
1354 { 12,28,16,60,1,18,6,21,19,14,48,0,2,86,93,5,46,29,17,27,65,7,3,72,38,126,119,40,84,37,56,4 },
1355 { 0,2,5,1,16,6,27,28,18,38,60,7,14,21,46,40,86,41,19,48,93,8,3,79,22,4,10,37,62,23,24,111 },
1356 { 85,7,90,30,47,139,45,50,94,58,137,1,8,64,14,116,118,115,113,11,124,108,0,10,97,57,32,70,42,106,29,114 },
1357 { 33,36,22,71,51,5,91,39,0,52,43,24,131,74,16,37,38,122,41,3,87,48,4,104,35,80,10,2,105,62,27,18 },
1358 { 12,1,27,2,0,16,3,28,46,18,4,6,5,72,21,79,38,7,14,60,88,8,65,19,48,29,23,40,22,20,86,126 },
1359 { 0,12,2,27,5,38,46,41,1,40,79,3,88,23,22,99,20,37,62,4,18,6,16,35,60,28,24,7,92,8,14,10 },
1360 { 7,47,1,30,137,8,116,94,90,64,14,115,108,118,57,10,148,113,42,85,32,11,63,50,103,45,124,134,55,9,69,34 },
1361 { 55,7,1,29,56,143,64,47,67,133,14,146,95,72,84,8,116,111,6,134,141,21,65,0,69,30,16,45,85,42,50,10 },
1362 { 14,1,42,8,10,29,108,63,55,148,95,32,7,19,25,115,103,34,56,129,77,0,16,152,94,30,113,26,2,5,48,4 },
1363 { 111,120,142,97,58,0,41,45,62,132,114,84,139,30,5,8,38,2,7,85,119,90,117,1,124,11,56,47,28,27,35,72 },
1364 { 1,0,14,2,6,5,16,19,7,29,42,18,3,25,12,35,21,8,26,17,40,4,20,48,109,99,22,96,55,101,10,61 },
1365 { 12,0,1,5,3,2,4,7,27,8,38,6,40,18,16,10,20,46,9,41,23,22,79,14,62,19,37,126,88,11,92,48 },
1366 { 10,8,104,39,24,32,22,83,44,100,30,130,53,91,113,5,11,1,35,33,7,49,0,2,103,71,36,124,9,80,131,34 },
1367 { 1,7,0,14,8,34,5,25,35,26,6,63,10,123,2,16,103,19,44,32,135,121,108,80,62,30,115,94,149,144,53,18 },
1368 { 75,68,146,141,102,67,2,21,6,57,69,143,0,55,82,86,28,144,147,29,93,112,56,119,133,14,76,60,84,134,111,145 },
1369 { 10,32,115,7,8,53,1,108,30,113,94,137,100,63,90,34,130,103,121,47,44,25,104,39,24,26,85,14,49,36,22,131 },
1370 { 39,24,10,22,8,130,91,104,83,49,5,33,100,11,0,35,32,131,71,36,9,44,53,2,80,51,30,1,41,7,43,62 },
1371 { 38,36,65,105,27,72,31,79,41,131,5,48,125,39,0,16,92,46,22,13,18,84,24,37,88,2,33,74,91,71,130,49 },
1372 { 0,106,62,50,45,119,85,81,132,28,2,86,41,47,38,60,35,117,5,29,7,30,145,90,55,70,14,111,18,67,93,56 },
1373 { 0,2,5,1,3,25,19,26,4,34,29,10,22,16,8,7,24,14,48,65,53,18,6,77,44,56,72,61,121,21,136,40 },
1374 { 7,1,94,8,47,115,10,32,113,103,30,108,137,63,14,64,116,148,129,42,90,25,34,118,53,57,11,49,85,9,96,50 },
1375 { 14,0,1,26,19,5,42,2,25,24,29,22,6,44,61,16,7,96,136,3,140,34,35,55,135,18,48,77,83,4,8,10 },
1376 { 1,7,14,0,25,6,34,5,26,16,63,2,19,8,35,101,108,29,94,10,18,42,123,144,129,47,61,21,3,62,149,4 },
1377 { 12,0,2,1,28,5,6,120,7,60,40,16,18,86,27,14,21,93,8,62,41,38,3,17,4,119,99,48,19,126,10,9 },
1378 { 86,144,93,2,28,149,0,60,99,112,110,145,40,21,102,26,75,62,69,1,12,101,119,25,76,67,7,68,55,5,6,14 },
1379 { 8,30,10,32,113,49,115,137,124,103,45,90,7,139,11,1,58,53,130,94,108,100,9,63,85,125,34,47,0,24,44,104 },
1380 { 120,142,111,41,58,114,97,0,11,62,84,124,5,30,8,38,132,127,27,139,92,10,72,45,49,9,28,2,29,56,16,1 },
1381 { 8,113,30,137,7,32,10,90,94,115,1,103,108,63,47,85,49,53,11,45,34,50,14,25,9,124,100,130,139,121,42,26 },
1382 { 64,7,14,47,134,55,1,42,95,69,116,90,94,30,8,29,56,137,45,108,85,10,57,16,102,143,118,19,63,32,11,50 },
1383 { 62,132,0,119,120,41,111,86,35,28,5,84,56,38,2,93,145,60,67,12,92,27,29,72,55,117,21,24,133,149,22,45 },
1384 { 57,68,69,118,134,64,50,47,55,14,7,2,102,144,0,112,70,86,85,1,95,29,116,143,42,75,16,56,28,45,21,48 },
1385 { 0,12,2,1,5,28,6,40,60,27,7,38,16,14,86,18,93,41,62,46,99,35,8,23,3,17,22,21,10,19,79,20 },
1386 { 12,1,2,27,16,3,38,111,4,0,18,5,7,46,40,8,79,6,14,28,88,10,48,41,19,84,21,9,22,23,20,72 },
1387 { 53,103,32,7,1,100,22,63,71,44,10,115,108,24,92,104,26,30,122,94,8,39,83,34,137,135,90,91,121,5,87,47 },
1388 { 87,37,41,0,22,38,2,92,1,24,4,8,3,59,10,5,39,23,71,79,122,27,16,46,33,7,91,20,18,51,9,120 },
1389 { 1,7,8,10,0,5,35,32,53,44,14,30,2,80,25,34,6,62,26,103,16,19,63,9,149,24,121,41,22,11,113,83 },
1390 { 11,58,8,30,124,49,10,113,9,114,139,45,97,32,7,137,90,1,0,130,115,125,100,24,5,94,53,41,14,13,35,38 },
1391 { 125,105,9,36,131,49,8,130,39,11,10,5,22,38,41,104,0,31,13,24,27,16,2,72,65,91,48,32,84,18,100,74 },
1392 { 12,1,0,2,6,3,7,5,4,8,14,28,16,60,18,10,21,17,19,9,40,27,86,93,29,38,54,11,25,48,46,41 },
1393 { 84,41,38,72,92,29,111,5,65,120,79,0,27,56,48,14,132,16,119,22,86,88,46,28,62,12,1,2,93,18,24,127 },
1394 { 99,28,40,60,2,93,138,0,98,17,86,54,76,12,27,1,21,144,128,38,5,14,46,18,25,16,109,6,41,145,7,29 },
1395 { 1,63,10,32,148,14,103,34,42,7,8,108,116,53,64,96,25,121,26,94,140,0,29,19,55,24,100,136,5,4,44,115 },
1396 { 131,100,130,49,10,8,36,104,39,0,48,41,11,38,4,24,27,22,16,44,79,5,33,2,53,9,125,74,91,120,32,83 },
1397 { 36,39,131,74,4,91,22,33,125,104,130,48,10,24,16,5,49,8,100,105,79,0,9,65,71,2,18,83,31,11,19,44 },
1398 { 0,12,2,1,6,5,7,28,40,60,16,14,18,62,86,27,93,8,17,38,21,41,35,99,3,19,10,23,22,4,9,48 },
1399 { 1,7,67,14,21,147,111,55,132,119,0,8,2,76,64,16,47,84,6,18,86,95,145,10,42,29,133,5,56,134,17,72 },
1400 { 69,55,47,134,102,143,7,57,118,95,14,64,29,56,1,50,75,67,146,2,0,133,68,16,21,6,141,85,116,18,72,65 },
1401 { 1,44,7,24,83,63,34,103,22,121,53,32,25,35,0,115,108,5,14,8,10,101,94,30,2,123,110,26,137,47,90,19 },
1402 { 14,1,25,42,34,0,26,96,19,29,140,5,53,10,2,121,3,24,44,22,55,77,129,7,63,16,8,4,6,61,100,48 },
1403 { 30,90,7,8,137,94,85,1,47,113,115,108,45,139,124,11,10,32,50,58,103,14,63,64,9,116,49,42,25,148,0,53 },
1404 { 40,99,2,60,28,17,0,54,93,98,86,138,6,12,21,76,1,5,27,144,128,38,19,46,14,41,145,7,16,67,3,109 },
1405 { 45,58,30,139,90,7,85,137,97,8,124,47,1,11,106,114,50,94,0,113,10,115,14,32,9,64,108,41,49,29,62,116 },
1406 { 14,42,10,1,63,96,32,25,34,8,129,29,0,103,55,19,26,53,77,5,95,2,4,7,3,16,148,56,18,24,121,108 },
1407 { 21,2,75,86,6,76,144,28,119,99,93,147,141,67,102,145,60,132,146,128,0,82,40,138,55,111,143,17,133,112,69,14 },
1408 { 111,120,41,62,84,132,0,5,38,119,56,92,72,142,27,28,29,35,58,80,2,86,65,79,12,14,1,24,145,16,21,48 },
1409 { 146,67,141,69,133,21,6,143,57,55,111,147,56,1,14,132,7,2,134,102,0,119,29,84,76,64,86,72,28,68,47,75 },
1410 { 12,1,0,5,27,3,7,4,38,8,6,41,16,40,46,10,18,79,2,9,23,86,20,22,62,14,37,88,92,19,24,11 },
1411 { 0,12,2,1,27,5,38,28,60,6,40,7,16,46,18,14,41,99,93,62,3,79,86,23,149,8,22,35,88,17,19,10 },
1412 { 141,6,21,67,147,102,146,2,76,119,132,69,55,111,86,75,28,133,143,0,1,145,14,128,56,99,17,60,29,93,84,68 },
1413 { 21,76,1,119,86,145,2,0,14,7,6,138,146,55,17,28,132,93,67,40,60,143,29,147,111,16,69,141,5,56,19,133 },
1414 { 1,8,108,14,7,116,64,42,10,63,94,32,115,103,113,96,30,34,55,47,95,148,29,140,129,25,134,53,69,26,19,11 },
1415 { 12,1,3,5,4,2,0,7,8,38,27,16,18,6,10,20,41,40,79,46,9,23,22,88,92,37,14,24,62,19,48,99 },
1416 { 1,14,7,0,6,25,5,16,19,2,42,26,29,35,61,8,18,129,101,21,3,110,34,148,96,10,17,4,22,40,12,20 },
1417 { 0,2,5,1,3,19,22,26,16,24,29,7,14,6,4,25,18,44,8,48,12,61,20,21,10,35,65,56,23,40,17,107 },
1418 { 1,7,8,29,56,0,10,14,2,42,72,5,4,65,3,30,84,94,67,9,25,133,111,11,32,108,16,63,21,96,26,48 }
1419 };
1420
1421 static inline uint32_t iabs(int32_t i) { return (i < 0) ? static_cast<uint32_t>(-i) : static_cast<uint32_t>(i); }
1422 static inline uint64_t iabs(int64_t i) { return (i < 0) ? static_cast<uint64_t>(-i) : static_cast<uint64_t>(i); }
1423
1424 static inline uint8_t to_5(uint32_t v) { v = v * 31 + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
1425 static inline uint8_t to_6(uint32_t v) { v = v * 63 + 128; return (uint8_t)((v + (v >> 8)) >> 8); }
1426
1427 template <typename S> inline S maximum(S a, S b) { return (a > b) ? a : b; }
1428 template <typename S> inline S maximum(S a, S b, S c) { return maximum(maximum(a, b), c); }
1429 template <typename S> inline S maximum(S a, S b, S c, S d) { return maximum(maximum(maximum(a, b), c), d); }
1430
1431 template <typename S> inline S minimum(S a, S b) { return (a < b) ? a : b; }
1432 template <typename S> inline S minimum(S a, S b, S c) { return minimum(minimum(a, b), c); }
1433 template <typename S> inline S minimum(S a, S b, S c, S d) { return minimum(minimum(minimum(a, b), c), d); }
1434
1435 template<typename T> inline T square(T a) { return a * a; }
1436
1437 static inline float clampf(float value, float low, float high) { if (value < low) value = low; else if (value > high) value = high; return value; }
1438 static inline uint8_t clamp255(int32_t i) { return (uint8_t)((i & 0xFFFFFF00U) ? (~(i >> 31)) : i); }
1439
1440 template <typename S> inline S clamp(S value, S low, S high) { return (value < low) ? low : ((value > high) ? high : value); }
1441 static inline int32_t clampi(int32_t value, int32_t low, int32_t high) { if (value < low) value = low; else if (value > high) value = high; return value; }
1442
1443 static inline int squarei(int a) { return a * a; }
1444 static inline int absi(int a) { return (a < 0) ? -a : a; }
1445
1446 template<typename F> inline F lerp(F a, F b, F s) { return a + (b - a) * s; }
1447
1448 enum class eNoClamp { cNoClamp };
1449
1450 struct color32
1451 {
1452 union
1453 {
1454 struct
1455 {
1456 uint8_t r;
1457 uint8_t g;
1458 uint8_t b;
1459 uint8_t a;
1460 };
1461
1462 uint8_t c[4];
1463
1464 uint32_t m;
1465 };
1466
1467 color32() { }
1468
1469 color32(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { set(vr, vg, vb, va); }
1470 color32(eNoClamp unused, uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { (void)unused; set_noclamp_rgba(vr, vg, vb, va); }
1471
1472 void set(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { c[0] = static_cast<uint8_t>(vr); c[1] = static_cast<uint8_t>(vg); c[2] = static_cast<uint8_t>(vb); c[3] = static_cast<uint8_t>(va); }
1473
1474 void set_noclamp_rgb(uint32_t vr, uint32_t vg, uint32_t vb) { c[0] = static_cast<uint8_t>(vr); c[1] = static_cast<uint8_t>(vg); c[2] = static_cast<uint8_t>(vb); }
1475 void set_noclamp_rgba(uint32_t vr, uint32_t vg, uint32_t vb, uint32_t va) { set(vr, vg, vb, va); }
1476
1477 void set_clamped(int vr, int vg, int vb, int va) { c[0] = clamp255(vr); c[1] = clamp255(vg); c[2] = clamp255(vb); c[3] = clamp255(va); }
1478
1479 uint8_t operator[] (uint32_t idx) const { assert(idx < 4); return c[idx]; }
1480 uint8_t &operator[] (uint32_t idx) { assert(idx < 4); return c[idx]; }
1481
1482 bool operator== (const color32&rhs) const { return m == rhs.m; }
1483
1484 void set_rgb(const color32& other) { c[0] = static_cast<uint8_t>(other.c[0]); c[1] = static_cast<uint8_t>(other.c[1]); c[2] = static_cast<uint8_t>(other.c[2]); }
1485
1486 static color32 comp_min(const color32& a, const color32& b) { return color32(eNoClamp::cNoClamp, std::min(a[0], b[0]), std::min(a[1], b[1]), std::min(a[2], b[2]), std::min(a[3], b[3])); }
1487 static color32 comp_max(const color32& a, const color32& b) { return color32(eNoClamp::cNoClamp, std::max(a[0], b[0]), std::max(a[1], b[1]), std::max(a[2], b[2]), std::max(a[3], b[3])); }
1488 };
1489
1490 enum dxt_constants
1491 {
1492 cDXT1SelectorBits = 2U, cDXT1SelectorValues = 1U << cDXT1SelectorBits, cDXT1SelectorMask = cDXT1SelectorValues - 1U,
1493 cDXT5SelectorBits = 3U, cDXT5SelectorValues = 1U << cDXT5SelectorBits, cDXT5SelectorMask = cDXT5SelectorValues - 1U,
1494 };
1495
1496 struct bc1_block
1497 {
1498 enum { cTotalEndpointBytes = 2, cTotalSelectorBytes = 4 };
1499
1500 uint8_t m_low_color[cTotalEndpointBytes];
1501 uint8_t m_high_color[cTotalEndpointBytes];
1502 uint8_t m_selectors[cTotalSelectorBytes];
1503
1504 inline uint32_t get_low_color() const { return m_low_color[0] | (m_low_color[1] << 8U); }
1505 inline uint32_t get_high_color() const { return m_high_color[0] | (m_high_color[1] << 8U); }
1506 inline bool is_3color() const { return get_low_color() <= get_high_color(); }
1507 inline void set_low_color(uint16_t c) { m_low_color[0] = static_cast<uint8_t>(c & 0xFF); m_low_color[1] = static_cast<uint8_t>((c >> 8) & 0xFF); }
1508 inline void set_high_color(uint16_t c) { m_high_color[0] = static_cast<uint8_t>(c & 0xFF); m_high_color[1] = static_cast<uint8_t>((c >> 8) & 0xFF); }
1509 inline uint32_t get_selector(uint32_t x, uint32_t y) const { assert((x < 4U) && (y < 4U)); return (m_selectors[y] >> (x * cDXT1SelectorBits)) & cDXT1SelectorMask; }
1510 inline void set_selector(uint32_t x, uint32_t y, uint32_t val) { assert((x < 4U) && (y < 4U) && (val < 4U)); m_selectors[y] &= (~(cDXT1SelectorMask << (x * cDXT1SelectorBits))); m_selectors[y] |= (val << (x * cDXT1SelectorBits)); }
1511
1512 static inline uint16_t pack_color(const color32& color, bool scaled, uint32_t bias = 127U)
1513 {
1514 uint32_t r = color.r, g = color.g, b = color.b;
1515 if (scaled)
1516 {
1517 r = (r * 31U + bias) / 255U;
1518 g = (g * 63U + bias) / 255U;
1519 b = (b * 31U + bias) / 255U;
1520 }
1521 return static_cast<uint16_t>(minimum(b, 31U) | (minimum(g, 63U) << 5U) | (minimum(r, 31U) << 11U));
1522 }
1523
1524 static inline uint16_t pack_unscaled_color(uint32_t r, uint32_t g, uint32_t b) { return static_cast<uint16_t>(b | (g << 5U) | (r << 11U)); }
1525
1526 static inline void unpack_color(uint32_t c, uint32_t& r, uint32_t& g, uint32_t& b)
1527 {
1528 r = (c >> 11) & 31;
1529 g = (c >> 5) & 63;
1530 b = c & 31;
1531
1532 r = (r << 3) | (r >> 2);
1533 g = (g << 2) | (g >> 4);
1534 b = (b << 3) | (b >> 2);
1535 }
1536
1537 static inline void unpack_color_unscaled(uint32_t c, uint32_t& r, uint32_t& g, uint32_t& b)
1538 {
1539 r = (c >> 11) & 31;
1540 g = (c >> 5) & 63;
1541 b = c & 31;
1542 }
1543 };
1544
1545 static const uint32_t TOTAL_ORDER_4_0_16 = 15;
1546 static const uint32_t TOTAL_ORDER_4_1_16 = 700;
1547 static const uint32_t TOTAL_ORDER_4_2_16 = 753;
1548 static const uint32_t TOTAL_ORDER_4_3_16 = 515;
1549 static uint16_t g_total_ordering4_hash[4096];
1550 static float g_selector_factors4[NUM_UNIQUE_TOTAL_ORDERINGS4][3];
1551
1552 static const uint32_t TOTAL_ORDER_3_0_16 = 12;
1553 static const uint32_t TOTAL_ORDER_3_1_16 = 15;
1554 static const uint32_t TOTAL_ORDER_3_2_16 = 89;
1555 static uint16_t g_total_ordering3_hash[256];
1556 static float g_selector_factors3[NUM_UNIQUE_TOTAL_ORDERINGS3][3];
1557
1558 struct hist4
1559 {
1560 uint8_t m_hist[4];
1561
1562 hist4()
1563 {
1564 memset(m_hist, 0, sizeof(m_hist));
1565 }
1566
1567 hist4(uint32_t i, uint32_t j, uint32_t k, uint32_t l)
1568 {
1569 m_hist[0] = (uint8_t)i;
1570 m_hist[1] = (uint8_t)j;
1571 m_hist[2] = (uint8_t)k;
1572 m_hist[3] = (uint8_t)l;
1573 }
1574
1575 inline bool operator== (const hist4 &h) const
1576 {
1577 if (m_hist[0] != h.m_hist[0]) return false;
1578 if (m_hist[1] != h.m_hist[1]) return false;
1579 if (m_hist[2] != h.m_hist[2]) return false;
1580 if (m_hist[3] != h.m_hist[3]) return false;
1581 return true;
1582 }
1583
1584 inline bool any_16() const
1585 {
1586 return (m_hist[0] == 16) || (m_hist[1] == 16) || (m_hist[2] == 16) || (m_hist[3] == 16);
1587 }
1588
1589 inline uint32_t lookup_total_ordering_index() const
1590 {
1591 if (m_hist[0] == 16)
1592 return TOTAL_ORDER_4_0_16;
1593 else if (m_hist[1] == 16)
1594 return TOTAL_ORDER_4_1_16;
1595 else if (m_hist[2] == 16)
1596 return TOTAL_ORDER_4_2_16;
1597 else if (m_hist[3] == 16)
1598 return TOTAL_ORDER_4_3_16;
1599
1600 // Must sum to 16, so m_hist[3] isn't needed.
1601 return g_total_ordering4_hash[m_hist[0] | (m_hist[1] << 4) | (m_hist[2] << 8)];
1602 }
1603 };
1604
1605 struct hist3
1606 {
1607 uint8_t m_hist[3];
1608
1609 hist3()
1610 {
1611 memset(m_hist, 0, sizeof(m_hist));
1612 }
1613
1614 hist3(uint32_t i, uint32_t j, uint32_t k)
1615 {
1616 m_hist[0] = (uint8_t)i;
1617 m_hist[1] = (uint8_t)j;
1618 m_hist[2] = (uint8_t)k;
1619 }
1620
1621 inline bool operator== (const hist3 &h) const
1622 {
1623 if (m_hist[0] != h.m_hist[0]) return false;
1624 if (m_hist[1] != h.m_hist[1]) return false;
1625 if (m_hist[2] != h.m_hist[2]) return false;
1626 return true;
1627 }
1628
1629 inline bool any_16() const
1630 {
1631 return (m_hist[0] == 16) || (m_hist[1] == 16) || (m_hist[2] == 16);
1632 }
1633
1634 inline uint32_t lookup_total_ordering_index() const
1635 {
1636 if (m_hist[0] == 16)
1637 return TOTAL_ORDER_3_0_16;
1638 else if (m_hist[1] == 16)
1639 return TOTAL_ORDER_3_1_16;
1640 else if (m_hist[2] == 16)
1641 return TOTAL_ORDER_3_2_16;
1642
1643 // Must sum to 16, so m_hist[2] isn't needed.
1644 return g_total_ordering3_hash[m_hist[0] | (m_hist[1] << 4)];
1645 }
1646 };
1647
1648 struct bc1_match_entry
1649 {
1650 uint8_t m_hi;
1651 uint8_t m_lo;
1652 uint8_t m_e;
1653 };
1654
1655 static bc1_approx_mode g_bc1_approx_mode;
1656 static bc1_match_entry g_bc1_match5_equals_1[256], g_bc1_match6_equals_1[256];
1657 static bc1_match_entry g_bc1_match5_half[256], g_bc1_match6_half[256];
1658
1659 static inline int scale_5_to_8(int v) { return (v << 3) | (v >> 2); }
1660 static inline int scale_6_to_8(int v) { return (v << 2) | (v >> 4); }
1661
1662 // v0, v1 = unexpanded DXT1 endpoint values (5/6-bits)
1663 // c0, c1 = expanded DXT1 endpoint values (8-bits)
1664 static inline int interp_5_6_ideal(int c0, int c1) { assert(c0 < 256 && c1 < 256); return (c0 * 2 + c1) / 3; }
1665 static inline int interp_5_6_ideal_round(int c0, int c1) { assert(c0 < 256 && c1 < 256); return (c0 * 2 + c1 + 1) / 3; }
1666 static inline int interp_half_5_6_ideal(int c0, int c1) { assert(c0 < 256 && c1 < 256); return (c0 + c1) / 2; }
1667
1668 static inline int interp_5_nv(int v0, int v1) { assert(v0 < 32 && v1 < 32); return ((2 * v0 + v1) * 22) / 8; }
1669 static inline int interp_6_nv(int c0, int c1) { assert(c0 < 256 && c1 < 256); const int gdiff = c1 - c0; return (256 * c0 + (gdiff / 4) + 128 + gdiff * 80) / 256; }
1670
1671 static inline int interp_half_5_nv(int v0, int v1) { assert(v0 < 32 && v1 < 32); return ((v0 + v1) * 33) / 8; }
1672 static inline int interp_half_6_nv(int c0, int c1) { assert(c0 < 256 && c1 < 256); const int gdiff = c1 - c0; return (256 * c0 + gdiff/4 + 128 + gdiff * 128) / 256; }
1673
1674 static inline int interp_5_6_amd(int c0, int c1) { assert(c0 < 256 && c1 < 256); return (c0 * 43 + c1 * 21 + 32) >> 6; }
1675 static inline int interp_half_5_6_amd(int c0, int c1) { assert(c0 < 256 && c1 < 256); return (c0 + c1 + 1) >> 1; }
1676
1677 static inline int interp_5(int v0, int v1, int c0, int c1, bc1_approx_mode mode)
1678 {
1679 assert(scale_5_to_8(v0) == c0 && scale_5_to_8(v1) == c1);
1680 switch (mode)
1681 {
1682 case bc1_approx_mode::cBC1NVidia: return interp_5_nv(v0, v1);
1683 case bc1_approx_mode::cBC1AMD: return interp_5_6_amd(c0, c1);
1684 default:
1685 case bc1_approx_mode::cBC1Ideal: return interp_5_6_ideal(c0, c1);
1686 case bc1_approx_mode::cBC1IdealRound4: return interp_5_6_ideal_round(c0, c1);
1687 }
1688 }
1689
1690 static inline int interp_6(int v0, int v1, int c0, int c1, bc1_approx_mode mode)
1691 {
1692 (void)v0; (void)v1;
1693 assert(scale_6_to_8(v0) == c0 && scale_6_to_8(v1) == c1);
1694 switch (mode)
1695 {
1696 case bc1_approx_mode::cBC1NVidia: return interp_6_nv(c0, c1);
1697 case bc1_approx_mode::cBC1AMD: return interp_5_6_amd(c0, c1);
1698 default:
1699 case bc1_approx_mode::cBC1Ideal: return interp_5_6_ideal(c0, c1);
1700 case bc1_approx_mode::cBC1IdealRound4: return interp_5_6_ideal_round(c0, c1);
1701 }
1702 }
1703
1704 static inline int interp_half_5(int v0, int v1, int c0, int c1, bc1_approx_mode mode)
1705 {
1706 assert(scale_5_to_8(v0) == c0 && scale_5_to_8(v1) == c1);
1707 switch (mode)
1708 {
1709 case bc1_approx_mode::cBC1NVidia: return interp_half_5_nv(v0, v1);
1710 case bc1_approx_mode::cBC1AMD: return interp_half_5_6_amd(c0, c1);
1711 case bc1_approx_mode::cBC1Ideal:
1712 case bc1_approx_mode::cBC1IdealRound4:
1713 default:
1714 return interp_half_5_6_ideal(c0, c1);
1715 }
1716 }
1717
1718 static inline int interp_half_6(int v0, int v1, int c0, int c1, bc1_approx_mode mode)
1719 {
1720 (void)v0; (void)v1;
1721 assert(scale_6_to_8(v0) == c0 && scale_6_to_8(v1) == c1);
1722 switch (mode)
1723 {
1724 case bc1_approx_mode::cBC1NVidia: return interp_half_6_nv(c0, c1);
1725 case bc1_approx_mode::cBC1AMD: return interp_half_5_6_amd(c0, c1);
1726 case bc1_approx_mode::cBC1Ideal:
1727 case bc1_approx_mode::cBC1IdealRound4:
1728 default:
1729 return interp_half_5_6_ideal(c0, c1);
1730 }
1731 }
1732
1733 static void prepare_bc1_single_color_table_half(bc1_match_entry* pTable, const uint8_t* pExpand, int size, bc1_approx_mode mode)
1734 {
1735 for (int i = 0; i < 256; i++)
1736 {
1737 int lowest_e = 256;
1738 for (int lo = 0; lo < size; lo++)
1739 {
1740 const int lo_e = pExpand[lo];
1741
1742 for (int hi = 0; hi < size; hi++)
1743 {
1744 const int hi_e = pExpand[hi];
1745
1746 const int v = (size == 32) ? interp_half_5(hi, lo, hi_e, lo_e, mode) : interp_half_6(hi, lo, hi_e, lo_e, mode);
1747
1748 int e = iabs(v - i);
1749
1750 // We only need to factor in 3% error in BC1 ideal mode.
1751 if ((mode == bc1_approx_mode::cBC1Ideal) || (mode == bc1_approx_mode::cBC1IdealRound4))
1752 e += (iabs(hi_e - lo_e) * 3) / 100;
1753
1754 // Favor equal endpoints, for lower error on actual GPU's which approximate the interpolation.
1755 if ((e < lowest_e) || ((e == lowest_e) && (lo == hi)))
1756 {
1757 pTable[i].m_hi = static_cast<uint8_t>(hi);
1758 pTable[i].m_lo = static_cast<uint8_t>(lo);
1759
1760 assert(e <= UINT8_MAX);
1761 pTable[i].m_e = static_cast<uint8_t>(e);
1762
1763 lowest_e = e;
1764 }
1765
1766 } // hi
1767 } // lo
1768 }
1769 }
1770
1771 static void prepare_bc1_single_color_table(bc1_match_entry* pTable, const uint8_t* pExpand, int size, bc1_approx_mode mode)
1772 {
1773 for (int i = 0; i < 256; i++)
1774 {
1775 int lowest_e = 256;
1776 for (int lo = 0; lo < size; lo++)
1777 {
1778 const int lo_e = pExpand[lo];
1779
1780 for (int hi = 0; hi < size; hi++)
1781 {
1782 const int hi_e = pExpand[hi];
1783
1784 const int v = (size == 32) ? interp_5(hi, lo, hi_e, lo_e, mode) : interp_6(hi, lo, hi_e, lo_e, mode);
1785
1786 int e = iabs(v - i);
1787
1788 if ((mode == bc1_approx_mode::cBC1Ideal) || (mode == bc1_approx_mode::cBC1IdealRound4))
1789 e += (iabs(hi_e - lo_e) * 3) / 100;
1790
1791 // Favor equal endpoints, for lower error on actual GPU's which approximate the interpolation.
1792 if ((e < lowest_e) || ((e == lowest_e) && (lo == hi)))
1793 {
1794 pTable[i].m_hi = static_cast<uint8_t>(hi);
1795 pTable[i].m_lo = static_cast<uint8_t>(lo);
1796
1797 assert(e <= UINT8_MAX);
1798 pTable[i].m_e = static_cast<uint8_t>(e);
1799
1800 lowest_e = e;
1801 }
1802
1803 } // hi
1804 } // lo
1805 }
1806 }
1807
1808 // This table is: 9 * (w * w), 9 * ((1.0f - w) * w), 9 * ((1.0f - w) * (1.0f - w))
1809 // where w is [0,1/3,2/3,1]. 9 is the perfect multiplier.
1810 static const uint32_t g_weight_vals4[4] = { 0x000009, 0x010204, 0x040201, 0x090000 };
1811
1812 // multiplier is 4 for 3-color
1813 static const uint32_t g_weight_vals3[3] = { 0x000004, 0x040000, 0x010101 };
1814
1815 static inline void compute_selector_factors4(const hist4 &h, float &iz00, float &iz10, float &iz11)
1816 {
1817 uint32_t weight_accum = 0;
1818 for (uint32_t sel = 0; sel < 4; sel++)
1819 weight_accum += g_weight_vals4[sel] * h.m_hist[sel];
1820
1821 float z00 = (float)((weight_accum >> 16) & 0xFF);
1822 float z10 = (float)((weight_accum >> 8) & 0xFF);
1823 float z11 = (float)(weight_accum & 0xFF);
1824 float z01 = z10;
1825
1826 float det = z00 * z11 - z01 * z10;
1827 if (fabs(det) < 1e-8f)
1828 det = 0.0f;
1829 else
1830 det = (3.0f / 255.0f) / det;
1831
1832 iz00 = z11 * det;
1833 iz10 = -z10 * det;
1834 iz11 = z00 * det;
1835 }
1836
1837 static inline void compute_selector_factors3(const hist3 &h, float &iz00, float &iz10, float &iz11)
1838 {
1839 uint32_t weight_accum = 0;
1840 for (uint32_t sel = 0; sel < 3; sel++)
1841 weight_accum += g_weight_vals3[sel] * h.m_hist[sel];
1842
1843 float z00 = (float)((weight_accum >> 16) & 0xFF);
1844 float z10 = (float)((weight_accum >> 8) & 0xFF);
1845 float z11 = (float)(weight_accum & 0xFF);
1846 float z01 = z10;
1847
1848 float det = z00 * z11 - z01 * z10;
1849 if (fabs(det) < 1e-8f)
1850 det = 0.0f;
1851 else
1852 det = (2.0f / 255.0f) / det;
1853
1854 iz00 = z11 * det;
1855 iz10 = -z10 * det;
1856 iz11 = z00 * det;
1857 }
1858
1859 static bool g_initialized;
1860
1861 void init(bc1_approx_mode mode)
1862 {
1863 g_bc1_approx_mode = mode;
1864
1865 uint8_t bc1_expand5[32];
1866 for (int i = 0; i < 32; i++)
1867 bc1_expand5[i] = static_cast<uint8_t>((i << 3) | (i >> 2));
1868 prepare_bc1_single_color_table(g_bc1_match5_equals_1, bc1_expand5, 32, mode);
1869 prepare_bc1_single_color_table_half(g_bc1_match5_half, bc1_expand5, 32, mode);
1870
1871 uint8_t bc1_expand6[64];
1872 for (int i = 0; i < 64; i++)
1873 bc1_expand6[i] = static_cast<uint8_t>((i << 2) | (i >> 4));
1874 prepare_bc1_single_color_table(g_bc1_match6_equals_1, bc1_expand6, 64, mode);
1875 prepare_bc1_single_color_table_half(g_bc1_match6_half, bc1_expand6, 64, mode);
1876
1877 for (uint32_t i = 0; i < NUM_UNIQUE_TOTAL_ORDERINGS4; i++)
1878 {
1879 hist4 h;
1880 h.m_hist[0] = (uint8_t)g_unique_total_orders4[i][0];
1881 h.m_hist[1] = (uint8_t)g_unique_total_orders4[i][1];
1882 h.m_hist[2] = (uint8_t)g_unique_total_orders4[i][2];
1883 h.m_hist[3] = (uint8_t)g_unique_total_orders4[i][3];
1884
1885 if (!h.any_16())
1886 {
1887 const uint32_t index = h.m_hist[0] | (h.m_hist[1] << 4) | (h.m_hist[2] << 8);
1888 assert(index < 4096);
1889 g_total_ordering4_hash[index] = (uint16_t)i;
1890 }
1891
1892 compute_selector_factors4(h, g_selector_factors4[i][0], g_selector_factors4[i][1], g_selector_factors4[i][2]);
1893 }
1894
1895 for (uint32_t i = 0; i < NUM_UNIQUE_TOTAL_ORDERINGS3; i++)
1896 {
1897 hist3 h;
1898 h.m_hist[0] = (uint8_t)g_unique_total_orders3[i][0];
1899 h.m_hist[1] = (uint8_t)g_unique_total_orders3[i][1];
1900 h.m_hist[2] = (uint8_t)g_unique_total_orders3[i][2];
1901
1902 if (!h.any_16())
1903 {
1904 const uint32_t index = h.m_hist[0] | (h.m_hist[1] << 4);
1905 assert(index < 256);
1906 g_total_ordering3_hash[index] = (uint16_t)i;
1907 }
1908
1909 compute_selector_factors3(h, g_selector_factors3[i][0], g_selector_factors3[i][1], g_selector_factors3[i][2]);
1910 }
1911
1912 g_initialized = true;
1913 }
1914
1915 void encode_bc1_solid_block(void* pDst, uint32_t fr, uint32_t fg, uint32_t fb, bool allow_3color)
1916 {
1917 bc1_block* pDst_block = static_cast<bc1_block*>(pDst);
1918
1919 uint32_t mask = 0xAA;
1920 int max16 = -1, min16 = 0;
1921
1922 if (allow_3color)
1923 {
1924 const uint32_t err4 = g_bc1_match5_equals_1[fr].m_e + g_bc1_match6_equals_1[fg].m_e + g_bc1_match5_equals_1[fb].m_e;
1925 const uint32_t err3 = g_bc1_match5_half[fr].m_e + g_bc1_match6_half[fg].m_e + g_bc1_match5_half[fb].m_e;
1926
1927 if (err3 < err4)
1928 {
1929 max16 = (g_bc1_match5_half[fr].m_hi << 11) | (g_bc1_match6_half[fg].m_hi << 5) | g_bc1_match5_half[fb].m_hi;
1930 min16 = (g_bc1_match5_half[fr].m_lo << 11) | (g_bc1_match6_half[fg].m_lo << 5) | g_bc1_match5_half[fb].m_lo;
1931
1932 if (max16 > min16)
1933 std::swap(max16, min16);
1934 }
1935 }
1936
1937 if (max16 == -1)
1938 {
1939 max16 = (g_bc1_match5_equals_1[fr].m_hi << 11) | (g_bc1_match6_equals_1[fg].m_hi << 5) | g_bc1_match5_equals_1[fb].m_hi;
1940 min16 = (g_bc1_match5_equals_1[fr].m_lo << 11) | (g_bc1_match6_equals_1[fg].m_lo << 5) | g_bc1_match5_equals_1[fb].m_lo;
1941
1942 if (min16 == max16)
1943 {
1944 // Always forbid 3 color blocks
1945 // This is to guarantee that BC3 blocks never use punchthrough alpha (3 color) mode, which isn't supported on some (all?) GPU's.
1946 mask = 0;
1947
1948 // Make l > h
1949 if (min16 > 0)
1950 min16--;
1951 else
1952 {
1953 // l = h = 0
1954 assert(min16 == max16 && max16 == 0);
1955
1956 max16 = 1;
1957 min16 = 0;
1958 mask = 0x55;
1959 }
1960
1961 assert(max16 > min16);
1962 }
1963
1964 if (max16 < min16)
1965 {
1966 std::swap(max16, min16);
1967 mask ^= 0x55;
1968 }
1969 }
1970
1971 pDst_block->set_low_color(static_cast<uint16_t>(max16));
1972 pDst_block->set_high_color(static_cast<uint16_t>(min16));
1973 pDst_block->m_selectors[0] = static_cast<uint8_t>(mask);
1974 pDst_block->m_selectors[1] = static_cast<uint8_t>(mask);
1975 pDst_block->m_selectors[2] = static_cast<uint8_t>(mask);
1976 pDst_block->m_selectors[3] = static_cast<uint8_t>(mask);
1977 }
1978
1979 static const float g_midpoint5[32] = { .015686f, .047059f, .078431f, .111765f, .145098f, .176471f, .207843f, .241176f, .274510f, .305882f, .337255f, .370588f, .403922f, .435294f, .466667f, .5f, .533333f, .564706f, .596078f, .629412f, .662745f, .694118f, .725490f, .758824f, .792157f, .823529f, .854902f, .888235f, .921569f, .952941f, .984314f, 1e+37f };
1980 static const float g_midpoint6[64] = { .007843f, .023529f, .039216f, .054902f, .070588f, .086275f, .101961f, .117647f, .133333f, .149020f, .164706f, .180392f, .196078f, .211765f, .227451f, .245098f, .262745f, .278431f, .294118f, .309804f, .325490f, .341176f, .356863f, .372549f, .388235f, .403922f, .419608f, .435294f, .450980f, .466667f, .482353f, .500000f, .517647f, .533333f, .549020f, .564706f, .580392f, .596078f, .611765f, .627451f, .643137f, .658824f, .674510f, .690196f, .705882f, .721569f, .737255f, .754902f, .772549f, .788235f, .803922f, .819608f, .835294f, .850980f, .866667f, .882353f, .898039f, .913725f, .929412f, .945098f, .960784f, .976471f, .992157f, 1e+37f };
1981
1982 struct vec3F { float c[3]; };
1983
1984 static inline void compute_least_squares_endpoints4_rgb(
1985 vec3F* pXl, vec3F* pXh,
1986 int total_r, int total_g, int total_b,
1987 float iz00, float iz10, float iz11,
1988 uint32_t s, const uint32_t r_sum[17], const uint32_t g_sum[17], const uint32_t b_sum[17])
1989 {
1990 const float iz01 = iz10;
1991
1992 const uint32_t f1 = g_unique_total_orders4[s][0];
1993 const uint32_t f2 = g_unique_total_orders4[s][0] + g_unique_total_orders4[s][1];
1994 const uint32_t f3 = g_unique_total_orders4[s][0] + g_unique_total_orders4[s][1] + g_unique_total_orders4[s][2];
1995 uint32_t uq00_r = (r_sum[f2] - r_sum[f1]) + (r_sum[f3] - r_sum[f2]) * 2 + (r_sum[16] - r_sum[f3]) * 3;
1996 uint32_t uq00_g = (g_sum[f2] - g_sum[f1]) + (g_sum[f3] - g_sum[f2]) * 2 + (g_sum[16] - g_sum[f3]) * 3;
1997 uint32_t uq00_b = (b_sum[f2] - b_sum[f1]) + (b_sum[f3] - b_sum[f2]) * 2 + (b_sum[16] - b_sum[f3]) * 3;
1998
1999 float q10_r = (float)(total_r * 3 - uq00_r);
2000 float q10_g = (float)(total_g * 3 - uq00_g);
2001 float q10_b = (float)(total_b * 3 - uq00_b);
2002
2003 pXl->c[0] = iz00 * (float)uq00_r + iz01 * q10_r;
2004 pXh->c[0] = iz10 * (float)uq00_r + iz11 * q10_r;
2005
2006 pXl->c[1] = iz00 * (float)uq00_g + iz01 * q10_g;
2007 pXh->c[1] = iz10 * (float)uq00_g + iz11 * q10_g;
2008
2009 pXl->c[2] = iz00 * (float)uq00_b + iz01 * q10_b;
2010 pXh->c[2] = iz10 * (float)uq00_b + iz11 * q10_b;
2011 }
2012
2013 static inline bool compute_least_squares_endpoints4_rgb(const color32* pColors, const uint8_t* pSelectors, vec3F* pXl, vec3F* pXh, int total_r, int total_g, int total_b)
2014 {
2015 uint32_t uq00_r = 0, uq00_g = 0, uq00_b = 0;
2016 uint32_t weight_accum = 0;
2017 for (uint32_t i = 0; i < 16; i++)
2018 {
2019 const uint8_t r = pColors[i].c[0], g = pColors[i].c[1], b = pColors[i].c[2];
2020 const uint8_t sel = pSelectors[i];
2021
2022 weight_accum += g_weight_vals4[sel];
2023 uq00_r += sel * r;
2024 uq00_g += sel * g;
2025 uq00_b += sel * b;
2026 }
2027
2028 int q10_r = total_r * 3 - uq00_r;
2029 int q10_g = total_g * 3 - uq00_g;
2030 int q10_b = total_b * 3 - uq00_b;
2031
2032 float z00 = (float)((weight_accum >> 16) & 0xFF);
2033 float z10 = (float)((weight_accum >> 8) & 0xFF);
2034 float z11 = (float)(weight_accum & 0xFF);
2035 float z01 = z10;
2036
2037 float det = z00 * z11 - z01 * z10;
2038 if (fabs(det) < 1e-8f)
2039 return false;
2040
2041 det = (3.0f / 255.0f) / det;
2042
2043 float iz00, iz01, iz10, iz11;
2044 iz00 = z11 * det;
2045 iz01 = -z01 * det;
2046 iz10 = -z10 * det;
2047 iz11 = z00 * det;
2048
2049 pXl->c[0] = iz00 * (float)uq00_r + iz01 * q10_r;
2050 pXh->c[0] = iz10 * (float)uq00_r + iz11 * q10_r;
2051
2052 pXl->c[1] = iz00 * (float)uq00_g + iz01 * q10_g;
2053 pXh->c[1] = iz10 * (float)uq00_g + iz11 * q10_g;
2054
2055 pXl->c[2] = iz00 * (float)uq00_b + iz01 * q10_b;
2056 pXh->c[2] = iz10 * (float)uq00_b + iz11 * q10_b;
2057
2058 return true;
2059 }
2060
2061 static inline void compute_least_squares_endpoints3_rgb(
2062 vec3F* pXl, vec3F* pXh,
2063 int total_r, int total_g, int total_b,
2064 float iz00, float iz10, float iz11,
2065 uint32_t s, const uint32_t r_sum[17], const uint32_t g_sum[17], const uint32_t b_sum[17])
2066 {
2067 const float iz01 = iz10;
2068
2069 // Compensates for BC1 3-color ordering, which is selector 0, 2, 1
2070 const uint32_t f1 = g_unique_total_orders3[s][0];
2071 const uint32_t f2 = g_unique_total_orders3[s][0] + g_unique_total_orders3[s][2];
2072 uint32_t uq00_r = (r_sum[16] - r_sum[f2]) * 2 + (r_sum[f2] - r_sum[f1]);
2073 uint32_t uq00_g = (g_sum[16] - g_sum[f2]) * 2 + (g_sum[f2] - g_sum[f1]);
2074 uint32_t uq00_b = (b_sum[16] - b_sum[f2]) * 2 + (b_sum[f2] - b_sum[f1]);
2075
2076 float q10_r = (float)(total_r * 2 - uq00_r);
2077 float q10_g = (float)(total_g * 2 - uq00_g);
2078 float q10_b = (float)(total_b * 2 - uq00_b);
2079
2080 pXl->c[0] = iz00 * (float)uq00_r + iz01 * q10_r;
2081 pXh->c[0] = iz10 * (float)uq00_r + iz11 * q10_r;
2082
2083 pXl->c[1] = iz00 * (float)uq00_g + iz01 * q10_g;
2084 pXh->c[1] = iz10 * (float)uq00_g + iz11 * q10_g;
2085
2086 pXl->c[2] = iz00 * (float)uq00_b + iz01 * q10_b;
2087 pXh->c[2] = iz10 * (float)uq00_b + iz11 * q10_b;
2088 }
2089
2090 static inline bool compute_least_squares_endpoints3_rgb(bool use_black, const color32* pColors, const uint8_t* pSelectors, vec3F* pXl, vec3F* pXh)
2091 {
2092 int uq00_r = 0, uq00_g = 0, uq00_b = 0;
2093 uint32_t weight_accum = 0;
2094 int total_r = 0, total_g = 0, total_b = 0;
2095 for (uint32_t i = 0; i < 16; i++)
2096 {
2097 const uint8_t r = pColors[i].c[0], g = pColors[i].c[1], b = pColors[i].c[2];
2098 if (use_black)
2099 {
2100 if ((r | g | b) < 4)
2101 continue;
2102 }
2103
2104 const uint8_t sel = pSelectors[i];
2105 assert(sel <= 3);
2106 if (sel == 3)
2107 continue;
2108
2109 weight_accum += g_weight_vals3[sel];
2110
2111 static const uint8_t s_tran[3] = { 0, 2, 1 };
2112 const uint8_t tsel = s_tran[sel];
2113 uq00_r += tsel * r;
2114 uq00_g += tsel * g;
2115 uq00_b += tsel * b;
2116
2117 total_r += r;
2118 total_g += g;
2119 total_b += b;
2120 }
2121
2122 int q10_r = total_r * 2 - uq00_r;
2123 int q10_g = total_g * 2 - uq00_g;
2124 int q10_b = total_b * 2 - uq00_b;
2125
2126 float z00 = (float)((weight_accum >> 16) & 0xFF);
2127 float z10 = (float)((weight_accum >> 8) & 0xFF);
2128 float z11 = (float)(weight_accum & 0xFF);
2129 float z01 = z10;
2130
2131 float det = z00 * z11 - z01 * z10;
2132 if (fabs(det) < 1e-8f)
2133 return false;
2134
2135 det = (2.0f / 255.0f) / det;
2136
2137 float iz00, iz01, iz10, iz11;
2138 iz00 = z11 * det;
2139 iz01 = -z01 * det;
2140 iz10 = -z10 * det;
2141 iz11 = z00 * det;
2142
2143 pXl->c[0] = iz00 * (float)uq00_r + iz01 * q10_r;
2144 pXh->c[0] = iz10 * (float)uq00_r + iz11 * q10_r;
2145
2146 pXl->c[1] = iz00 * (float)uq00_g + iz01 * q10_g;
2147 pXh->c[1] = iz10 * (float)uq00_g + iz11 * q10_g;
2148
2149 pXl->c[2] = iz00 * (float)uq00_b + iz01 * q10_b;
2150 pXh->c[2] = iz10 * (float)uq00_b + iz11 * q10_b;
2151
2152 return true;
2153 }
2154
2155 static inline void bc1_get_block_colors4(uint32_t block_r[4], uint32_t block_g[4], uint32_t block_b[4], uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb)
2156 {
2157 block_r[0] = (lr << 3) | (lr >> 2); block_g[0] = (lg << 2) | (lg >> 4); block_b[0] = (lb << 3) | (lb >> 2);
2158 block_r[3] = (hr << 3) | (hr >> 2); block_g[3] = (hg << 2) | (hg >> 4); block_b[3] = (hb << 3) | (hb >> 2);
2159
2160 if (g_bc1_approx_mode == bc1_approx_mode::cBC1Ideal)
2161 {
2162 block_r[1] = (block_r[0] * 2 + block_r[3]) / 3; block_g[1] = (block_g[0] * 2 + block_g[3]) / 3; block_b[1] = (block_b[0] * 2 + block_b[3]) / 3;
2163 block_r[2] = (block_r[3] * 2 + block_r[0]) / 3; block_g[2] = (block_g[3] * 2 + block_g[0]) / 3; block_b[2] = (block_b[3] * 2 + block_b[0]) / 3;
2164 }
2165 else if (g_bc1_approx_mode == bc1_approx_mode::cBC1IdealRound4)
2166 {
2167 block_r[1] = (block_r[0] * 2 + block_r[3] + 1) / 3; block_g[1] = (block_g[0] * 2 + block_g[3] + 1) / 3; block_b[1] = (block_b[0] * 2 + block_b[3] + 1) / 3;
2168 block_r[2] = (block_r[3] * 2 + block_r[0] + 1) / 3; block_g[2] = (block_g[3] * 2 + block_g[0] + 1) / 3; block_b[2] = (block_b[3] * 2 + block_b[0] + 1) / 3;
2169 }
2170 else if (g_bc1_approx_mode == bc1_approx_mode::cBC1AMD)
2171 {
2172 block_r[1] = interp_5_6_amd(block_r[0], block_r[3]); block_g[1] = interp_5_6_amd(block_g[0], block_g[3]); block_b[1] = interp_5_6_amd(block_b[0], block_b[3]);
2173 block_r[2] = interp_5_6_amd(block_r[3], block_r[0]); block_g[2] = interp_5_6_amd(block_g[3], block_g[0]); block_b[2] = interp_5_6_amd(block_b[3], block_b[0]);
2174 }
2175 else
2176 {
2177 block_r[1] = interp_5_nv(lr, hr); block_g[1] = interp_6_nv(block_g[0], block_g[3]); block_b[1] = interp_5_nv(lb, hb);
2178 block_r[2] = interp_5_nv(hr, lr); block_g[2] = interp_6_nv(block_g[3], block_g[0]); block_b[2] = interp_5_nv(hb, lb);
2179 }
2180 }
2181
2182 static inline void bc1_get_block_colors3(uint32_t block_r[3], uint32_t block_g[3], uint32_t block_b[3], uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb)
2183 {
2184 block_r[0] = (lr << 3) | (lr >> 2); block_g[0] = (lg << 2) | (lg >> 4); block_b[0] = (lb << 3) | (lb >> 2);
2185 block_r[1] = (hr << 3) | (hr >> 2); block_g[1] = (hg << 2) | (hg >> 4); block_b[1] = (hb << 3) | (hb >> 2);
2186
2187 if ((g_bc1_approx_mode == bc1_approx_mode::cBC1Ideal) || (g_bc1_approx_mode == bc1_approx_mode::cBC1IdealRound4))
2188 {
2189 block_r[2] = (block_r[0] + block_r[1]) / 2; block_g[2] = (block_g[0] + block_g[1]) / 2; block_b[2] = (block_b[0] + block_b[1]) / 2;
2190 }
2191 else if (g_bc1_approx_mode == bc1_approx_mode::cBC1AMD)
2192 {
2193 block_r[2] = interp_half_5_6_amd(block_r[0], block_r[1]); block_g[2] = interp_half_5_6_amd(block_g[0], block_g[1]); block_b[2] = interp_half_5_6_amd(block_b[0], block_b[1]);
2194 }
2195 else
2196 {
2197 block_r[2] = interp_half_5_nv(lr, hr); block_g[2] = interp_half_6_nv(block_g[0], block_g[1]); block_b[2] = interp_half_5_nv(lb, hb);
2198 }
2199 }
2200
2201 static inline void bc1_find_sels4_noerr(const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16])
2202 {
2203 uint32_t block_r[4], block_g[4], block_b[4];
2204 bc1_get_block_colors4(block_r, block_g, block_b, lr, lg, lb, hr, hg, hb);
2205
2206 int ar = block_r[3] - block_r[0], ag = block_g[3] - block_g[0], ab = block_b[3] - block_b[0];
2207
2208 int dots[4];
2209 for (uint32_t i = 0; i < 4; i++)
2210 dots[i] = (int)block_r[i] * ar + (int)block_g[i] * ag + (int)block_b[i] * ab;
2211
2212 int t0 = dots[0] + dots[1], t1 = dots[1] + dots[2], t2 = dots[2] + dots[3];
2213
2214 ar *= 2; ag *= 2; ab *= 2;
2215
2216 static const uint8_t s_sels[4] = { 3, 2, 1, 0 };
2217
2218 for (uint32_t i = 0; i < 16; i += 4)
2219 {
2220 const int d0 = pSrc_pixels[i+0].r * ar + pSrc_pixels[i+0].g * ag + pSrc_pixels[i+0].b * ab;
2221 const int d1 = pSrc_pixels[i+1].r * ar + pSrc_pixels[i+1].g * ag + pSrc_pixels[i+1].b * ab;
2222 const int d2 = pSrc_pixels[i+2].r * ar + pSrc_pixels[i+2].g * ag + pSrc_pixels[i+2].b * ab;
2223 const int d3 = pSrc_pixels[i+3].r * ar + pSrc_pixels[i+3].g * ag + pSrc_pixels[i+3].b * ab;
2224
2225 sels[i+0] = s_sels[(d0 <= t0) + (d0 < t1) + (d0 < t2)];
2226 sels[i+1] = s_sels[(d1 <= t0) + (d1 < t1) + (d1 < t2)];
2227 sels[i+2] = s_sels[(d2 <= t0) + (d2 < t1) + (d2 < t2)];
2228 sels[i+3] = s_sels[(d3 <= t0) + (d3 < t1) + (d3 < t2)];
2229 }
2230 }
2231
2232 static inline uint32_t bc1_find_sels4_fasterr(const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16], uint32_t cur_err)
2233 {
2234 uint32_t block_r[4], block_g[4], block_b[4];
2235 bc1_get_block_colors4(block_r, block_g, block_b, lr, lg, lb, hr, hg, hb);
2236
2237 int ar = block_r[3] - block_r[0], ag = block_g[3] - block_g[0], ab = block_b[3] - block_b[0];
2238
2239 int dots[4];
2240 for (uint32_t i = 0; i < 4; i++)
2241 dots[i] = (int)block_r[i] * ar + (int)block_g[i] * ag + (int)block_b[i] * ab;
2242
2243 int t0 = dots[0] + dots[1], t1 = dots[1] + dots[2], t2 = dots[2] + dots[3];
2244
2245 ar *= 2; ag *= 2; ab *= 2;
2246
2247 static const uint8_t s_sels[4] = { 3, 2, 1, 0 };
2248
2249 uint32_t total_err = 0;
2250
2251 for (uint32_t i = 0; i < 16; i += 4)
2252 {
2253 const int d0 = pSrc_pixels[i+0].r * ar + pSrc_pixels[i+0].g * ag + pSrc_pixels[i+0].b * ab;
2254 const int d1 = pSrc_pixels[i+1].r * ar + pSrc_pixels[i+1].g * ag + pSrc_pixels[i+1].b * ab;
2255 const int d2 = pSrc_pixels[i+2].r * ar + pSrc_pixels[i+2].g * ag + pSrc_pixels[i+2].b * ab;
2256 const int d3 = pSrc_pixels[i+3].r * ar + pSrc_pixels[i+3].g * ag + pSrc_pixels[i+3].b * ab;
2257
2258 uint8_t sel0 = s_sels[(d0 <= t0) + (d0 < t1) + (d0 < t2)];
2259 uint8_t sel1 = s_sels[(d1 <= t0) + (d1 < t1) + (d1 < t2)];
2260 uint8_t sel2 = s_sels[(d2 <= t0) + (d2 < t1) + (d2 < t2)];
2261 uint8_t sel3 = s_sels[(d3 <= t0) + (d3 < t1) + (d3 < t2)];
2262
2263 sels[i+0] = sel0;
2264 sels[i+1] = sel1;
2265 sels[i+2] = sel2;
2266 sels[i+3] = sel3;
2267
2268 total_err += squarei(pSrc_pixels[i+0].r - block_r[sel0]) + squarei(pSrc_pixels[i+0].g - block_g[sel0]) + squarei(pSrc_pixels[i+0].b - block_b[sel0]);
2269 total_err += squarei(pSrc_pixels[i+1].r - block_r[sel1]) + squarei(pSrc_pixels[i+1].g - block_g[sel1]) + squarei(pSrc_pixels[i+1].b - block_b[sel1]);
2270 total_err += squarei(pSrc_pixels[i+2].r - block_r[sel2]) + squarei(pSrc_pixels[i+2].g - block_g[sel2]) + squarei(pSrc_pixels[i+2].b - block_b[sel2]);
2271 total_err += squarei(pSrc_pixels[i+3].r - block_r[sel3]) + squarei(pSrc_pixels[i+3].g - block_g[sel3]) + squarei(pSrc_pixels[i+3].b - block_b[sel3]);
2272
2273 if (total_err >= cur_err)
2274 break;
2275 }
2276
2277 return total_err;
2278 }
2279
2280 static inline uint32_t bc1_find_sels4_check2_err(const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16], uint32_t cur_err)
2281 {
2282 uint32_t block_r[4], block_g[4], block_b[4];
2283 bc1_get_block_colors4(block_r, block_g, block_b, lr, lg, lb, hr, hg, hb);
2284
2285 int dr = block_r[3] - block_r[0], dg = block_g[3] - block_g[0], db = block_b[3] - block_b[0];
2286
2287 const float f = 4.0f / (float)(squarei(dr) + squarei(dg) + squarei(db) + .00000125f);
2288
2289 uint32_t total_err = 0;
2290
2291 for (uint32_t i = 0; i < 16; i++)
2292 {
2293 const int r = pSrc_pixels[i].r;
2294 const int g = pSrc_pixels[i].g;
2295 const int b = pSrc_pixels[i].b;
2296
2297 int sel = (int)((float)((r - (int)block_r[0]) * dr + (g - (int)block_g[0]) * dg + (b - (int)block_b[0]) * db) * f + .5f);
2298 sel = clampi(sel, 1, 3);
2299
2300 uint32_t err0 = squarei((int)block_r[sel - 1] - (int)r) + squarei((int)block_g[sel - 1] - (int)g) + squarei((int)block_b[sel - 1] - (int)b);
2301 uint32_t err1 = squarei((int)block_r[sel] - (int)r) + squarei((int)block_g[sel] - (int)g) + squarei((int)block_b[sel] - (int)b);
2302
2303 int best_sel = sel;
2304 uint32_t best_err = err1;
2305 if (err0 == err1)
2306 {
2307 // Prefer non-interpolation
2308 if ((best_sel - 1) == 0)
2309 best_sel = 0;
2310 }
2311 else if (err0 < best_err)
2312 {
2313 best_sel = sel - 1;
2314 best_err = err0;
2315 }
2316
2317 total_err += best_err;
2318
2319 if (total_err >= cur_err)
2320 break;
2321
2322 sels[i] = (uint8_t)best_sel;
2323 }
2324 return total_err;
2325 }
2326
2327 static inline uint32_t bc1_find_sels4_fullerr(const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16], uint32_t cur_err)
2328 {
2329 uint32_t block_r[4], block_g[4], block_b[4];
2330 bc1_get_block_colors4(block_r, block_g, block_b, lr, lg, lb, hr, hg, hb);
2331
2332 uint32_t total_err = 0;
2333
2334 for (uint32_t i = 0; i < 16; i++)
2335 {
2336 const int r = pSrc_pixels[i].r;
2337 const int g = pSrc_pixels[i].g;
2338 const int b = pSrc_pixels[i].b;
2339
2340 uint32_t best_err = squarei((int)block_r[0] - (int)r) + squarei((int)block_g[0] - (int)g) + squarei((int)block_b[0] - (int)b);
2341 uint8_t best_sel = 0;
2342
2343 for (uint32_t j = 1; (j < 4) && best_err; j++)
2344 {
2345 uint32_t err = squarei((int)block_r[j] - (int)r) + squarei((int)block_g[j] - (int)g) + squarei((int)block_b[j] - (int)b);
2346 if ( (err < best_err) || ((err == best_err) && (j == 3)) )
2347 {
2348 best_err = err;
2349 best_sel = (uint8_t)j;
2350 }
2351 }
2352
2353 total_err += best_err;
2354
2355 if (total_err >= cur_err)
2356 break;
2357
2358 sels[i] = (uint8_t)best_sel;
2359 }
2360 return total_err;
2361 }
2362
2363 static inline uint32_t bc1_find_sels4(uint32_t flags, const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16], uint32_t cur_err)
2364 {
2365 uint32_t err;
2366
2367 if (flags & cEncodeBC1UseFasterMSEEval)
2368 err = bc1_find_sels4_fasterr(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels, cur_err);
2369 else if (flags & cEncodeBC1UseFullMSEEval)
2370 err = bc1_find_sels4_fullerr(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels, cur_err);
2371 else
2372 err = bc1_find_sels4_check2_err(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels, cur_err);
2373
2374 return err;
2375 }
2376
2377 static inline uint32_t bc1_find_sels3_fullerr(bool use_black, const color32* pSrc_pixels, uint32_t lr, uint32_t lg, uint32_t lb, uint32_t hr, uint32_t hg, uint32_t hb, uint8_t sels[16], uint32_t cur_err)
2378 {
2379 uint32_t block_r[3], block_g[3], block_b[3];
2380 bc1_get_block_colors3(block_r, block_g, block_b, lr, lg, lb, hr, hg, hb);
2381
2382 uint32_t total_err = 0;
2383
2384 for (uint32_t i = 0; i < 16; i++)
2385 {
2386 const int r = pSrc_pixels[i].r;
2387 const int g = pSrc_pixels[i].g;
2388 const int b = pSrc_pixels[i].b;
2389
2390 uint32_t best_err = squarei((int)block_r[0] - (int)r) + squarei((int)block_g[0] - (int)g) + squarei((int)block_b[0] - (int)b);
2391 uint32_t best_sel = 0;
2392
2393 uint32_t err1 = squarei((int)block_r[1] - (int)r) + squarei((int)block_g[1] - (int)g) + squarei((int)block_b[1] - (int)b);
2394 if (err1 < best_err)
2395 {
2396 best_err = err1;
2397 best_sel = 1;
2398 }
2399
2400 uint32_t err2 = squarei((int)block_r[2] - (int)r) + squarei((int)block_g[2] - (int)g) + squarei((int)block_b[2] - (int)b);
2401 if (err2 < best_err)
2402 {
2403 best_err = err2;
2404 best_sel = 2;
2405 }
2406
2407 if (use_black)
2408 {
2409 uint32_t err3 = squarei(r) + squarei(g) + squarei(b);
2410 if (err3 < best_err)
2411 {
2412 best_err = err3;
2413 best_sel = 3;
2414 }
2415 }
2416
2417 total_err += best_err;
2418 if (total_err >= cur_err)
2419 return total_err;
2420
2421 sels[i] = (uint8_t)best_sel;
2422 }
2423
2424 return total_err;
2425 }
2426
2427 static inline void precise_round_565(const vec3F &xl, const vec3F &xh,
2428 int &trial_lr, int &trial_lg, int &trial_lb,
2429 int &trial_hr, int &trial_hg, int &trial_hb)
2430 {
2431 trial_lr = (int)(xl.c[0] * 31.0f);
2432 trial_lg = (int)(xl.c[1] * 63.0f);
2433 trial_lb = (int)(xl.c[2] * 31.0f);
2434
2435 trial_hr = (int)(xh.c[0] * 31.0f);
2436 trial_hg = (int)(xh.c[1] * 63.0f);
2437 trial_hb = (int)(xh.c[2] * 31.0f);
2438
2439 if ((uint32_t)(trial_lr | trial_lb | trial_hr | trial_hb) > 31U)
2440 {
2441 trial_lr = ((uint32_t)trial_lr > 31U) ? (~trial_lr >> 31) & 31 : trial_lr;
2442 trial_hr = ((uint32_t)trial_hr > 31U) ? (~trial_hr >> 31) & 31 : trial_hr;
2443
2444 trial_lb = ((uint32_t)trial_lb > 31U) ? (~trial_lb >> 31) & 31 : trial_lb;
2445 trial_hb = ((uint32_t)trial_hb > 31U) ? (~trial_hb >> 31) & 31 : trial_hb;
2446 }
2447
2448 if ((uint32_t)(trial_lg | trial_hg) > 63U)
2449 {
2450 trial_lg = ((uint32_t)trial_lg > 63U) ? (~trial_lg >> 31) & 63 : trial_lg;
2451 trial_hg = ((uint32_t)trial_hg > 63U) ? (~trial_hg >> 31) & 63 : trial_hg;
2452 }
2453
2454 trial_lr = (trial_lr + (xl.c[0] > g_midpoint5[trial_lr])) & 31;
2455 trial_lg = (trial_lg + (xl.c[1] > g_midpoint6[trial_lg])) & 63;
2456 trial_lb = (trial_lb + (xl.c[2] > g_midpoint5[trial_lb])) & 31;
2457
2458 trial_hr = (trial_hr + (xh.c[0] > g_midpoint5[trial_hr])) & 31;
2459 trial_hg = (trial_hg + (xh.c[1] > g_midpoint6[trial_hg])) & 63;
2460 trial_hb = (trial_hb + (xh.c[2] > g_midpoint5[trial_hb])) & 31;
2461 }
2462
2463 static inline void precise_round_565_noscale(vec3F xl, vec3F xh,
2464 int &trial_lr, int &trial_lg, int &trial_lb,
2465 int &trial_hr, int &trial_hg, int &trial_hb)
2466 {
2467 xl.c[0] *= 1.0f/255.0f;
2468 xl.c[1] *= 1.0f/255.0f;
2469 xl.c[2] *= 1.0f/255.0f;
2470
2471 xh.c[0] *= 1.0f/255.0f;
2472 xh.c[1] *= 1.0f/255.0f;
2473 xh.c[2] *= 1.0f/255.0f;
2474
2475 precise_round_565(xl, xh, trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb);
2476 }
2477
2478 static inline void bc1_encode4(bc1_block *pDst_block, int lr, int lg, int lb, int hr, int hg, int hb, const uint8_t sels[16])
2479 {
2480 uint32_t lc16 = bc1_block::pack_unscaled_color(lr, lg, lb);
2481 uint32_t hc16 = bc1_block::pack_unscaled_color(hr, hg, hb);
2482
2483 // Always forbid 3 color blocks
2484 if (lc16 == hc16)
2485 {
2486 uint8_t mask = 0;
2487
2488 // Make l > h
2489 if (hc16 > 0)
2490 hc16--;
2491 else
2492 {
2493 // lc16 = hc16 = 0
2494 assert(lc16 == hc16 && hc16 == 0);
2495
2496 hc16 = 0;
2497 lc16 = 1;
2498 mask = 0x55; // select hc16
2499 }
2500
2501 assert(lc16 > hc16);
2502 pDst_block->set_low_color(static_cast<uint16_t>(lc16));
2503 pDst_block->set_high_color(static_cast<uint16_t>(hc16));
2504
2505 pDst_block->m_selectors[0] = mask;
2506 pDst_block->m_selectors[1] = mask;
2507 pDst_block->m_selectors[2] = mask;
2508 pDst_block->m_selectors[3] = mask;
2509 }
2510 else
2511 {
2512 uint8_t invert_mask = 0;
2513 if (lc16 < hc16)
2514 {
2515 std::swap(lc16, hc16);
2516 invert_mask = 0x55;
2517 }
2518
2519 assert(lc16 > hc16);
2520 pDst_block->set_low_color((uint16_t)lc16);
2521 pDst_block->set_high_color((uint16_t)hc16);
2522
2523 uint32_t packed_sels = 0;
2524 static const uint8_t s_sel_trans[4] = { 0, 2, 3, 1 };
2525 for (uint32_t i = 0; i < 16; i++)
2526 packed_sels |= ((uint32_t)s_sel_trans[sels[i]] << (i * 2));
2527
2528 pDst_block->m_selectors[0] = (uint8_t)packed_sels ^ invert_mask;
2529 pDst_block->m_selectors[1] = (uint8_t)(packed_sels >> 8) ^ invert_mask;
2530 pDst_block->m_selectors[2] = (uint8_t)(packed_sels >> 16) ^ invert_mask;
2531 pDst_block->m_selectors[3] = (uint8_t)(packed_sels >> 24) ^ invert_mask;
2532 }
2533 }
2534
2535 static inline void bc1_encode3(bc1_block *pDst_block, int lr, int lg, int lb, int hr, int hg, int hb, const uint8_t sels[16])
2536 {
2537 uint32_t lc16 = bc1_block::pack_unscaled_color(lr, lg, lb);
2538 uint32_t hc16 = bc1_block::pack_unscaled_color(hr, hg, hb);
2539
2540 bool invert_flag = false;
2541 if (lc16 > hc16)
2542 {
2543 std::swap(lc16, hc16);
2544 invert_flag = true;
2545 }
2546
2547 assert(lc16 <= hc16);
2548
2549 pDst_block->set_low_color((uint16_t)lc16);
2550 pDst_block->set_high_color((uint16_t)hc16);
2551
2552 uint32_t packed_sels = 0;
2553
2554 if (invert_flag)
2555 {
2556 static const uint8_t s_sel_trans_inv[4] = { 1, 0, 2, 3 };
2557
2558 for (uint32_t i = 0; i < 16; i++)
2559 packed_sels |= ((uint32_t)s_sel_trans_inv[sels[i]] << (i * 2));
2560 }
2561 else
2562 {
2563 for (uint32_t i = 0; i < 16; i++)
2564 packed_sels |= ((uint32_t)sels[i] << (i * 2));
2565 }
2566
2567 pDst_block->m_selectors[0] = (uint8_t)packed_sels;
2568 pDst_block->m_selectors[1] = (uint8_t)(packed_sels >> 8);
2569 pDst_block->m_selectors[2] = (uint8_t)(packed_sels >> 16);
2570 pDst_block->m_selectors[3] = (uint8_t)(packed_sels >> 24);
2571 }
2572
2573 struct bc1_encode_results
2574 {
2575 int lr, lg, lb;
2576 int hr, hg, hb;
2577 uint8_t sels[16];
2578 bool m_3color;
2579 };
2580
2581 static bool try_3color_block_useblack(const color32* pSrc_pixels, uint32_t flags, uint32_t &cur_err, bc1_encode_results &results)
2582 {
2583 int total_r = 0, total_g = 0, total_b = 0;
2584 int max_r = 0, max_g = 0, max_b = 0;
2585 int min_r = 255, min_g = 255, min_b = 255;
2586 int total_pixels = 0;
2587 for (uint32_t i = 0; i < 16; i++)
2588 {
2589 const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
2590 if ((r | g | b) < 4)
2591 continue;
2592
2593 max_r = std::max(max_r, r); max_g = std::max(max_g, g); max_b = std::max(max_b, b);
2594 min_r = std::min(min_r, r); min_g = std::min(min_g, g); min_b = std::min(min_b, b);
2595 total_r += r; total_g += g; total_b += b;
2596
2597 total_pixels++;
2598 }
2599
2600 if (!total_pixels)
2601 return false;
2602
2603 int half_total_pixels = total_pixels >> 1;
2604 int avg_r = (total_r + half_total_pixels) / total_pixels;
2605 int avg_g = (total_g + half_total_pixels) / total_pixels;
2606 int avg_b = (total_b + half_total_pixels) / total_pixels;
2607
2608 uint32_t low_c = 0, high_c = 0;
2609
2610 int icov[6] = { 0, 0, 0, 0, 0, 0 };
2611 for (uint32_t i = 0; i < 16; i++)
2612 {
2613 int r = (int)pSrc_pixels[i].r;
2614 int g = (int)pSrc_pixels[i].g;
2615 int b = (int)pSrc_pixels[i].b;
2616
2617 if ((r | g | b) < 4)
2618 continue;
2619
2620 r -= avg_r;
2621 g -= avg_g;
2622 b -= avg_b;
2623
2624 icov[0] += r * r;
2625 icov[1] += r * g;
2626 icov[2] += r * b;
2627 icov[3] += g * g;
2628 icov[4] += g * b;
2629 icov[5] += b * b;
2630 }
2631
2632 float cov[6];
2633 for (uint32_t i = 0; i < 6; i++)
2634 cov[i] = (float)(icov[i]) * (1.0f / 255.0f);
2635
2636 float xr = (float)(max_r - min_r);
2637 float xg = (float)(max_g - min_g);
2638 float xb = (float)(max_b - min_b);
2639
2640 if (icov[2] < 0)
2641 xr = -xr;
2642
2643 if (icov[4] < 0)
2644 xg = -xg;
2645
2646 for (uint32_t power_iter = 0; power_iter < 4; power_iter++)
2647 {
2648 float r = xr * cov[0] + xg * cov[1] + xb * cov[2];
2649 float g = xr * cov[1] + xg * cov[3] + xb * cov[4];
2650 float b = xr * cov[2] + xg * cov[4] + xb * cov[5];
2651 xr = r; xg = g; xb = b;
2652 }
2653
2654 float k = maximum(fabsf(xr), fabsf(xg), fabsf(xb));
2655 int saxis_r = 306, saxis_g = 601, saxis_b = 117;
2656 if (k >= 2)
2657 {
2658 float m = 1024.0f / k;
2659 saxis_r = (int)(xr * m);
2660 saxis_g = (int)(xg * m);
2661 saxis_b = (int)(xb * m);
2662 }
2663
2664 int low_dot = INT_MAX, high_dot = INT_MIN;
2665 for (uint32_t i = 0; i < 16; i++)
2666 {
2667 int r = (int)pSrc_pixels[i].r, g = (int)pSrc_pixels[i].g, b = (int)pSrc_pixels[i].b;
2668
2669 if ((r | g | b) < 4)
2670 continue;
2671
2672 int dot = r * saxis_r + g * saxis_g + b * saxis_b;
2673 if (dot < low_dot)
2674 {
2675 low_dot = dot;
2676 low_c = i;
2677 }
2678 if (dot > high_dot)
2679 {
2680 high_dot = dot;
2681 high_c = i;
2682 }
2683 }
2684
2685 int lr = to_5(pSrc_pixels[low_c].r);
2686 int lg = to_6(pSrc_pixels[low_c].g);
2687 int lb = to_5(pSrc_pixels[low_c].b);
2688
2689 int hr = to_5(pSrc_pixels[high_c].r);
2690 int hg = to_6(pSrc_pixels[high_c].g);
2691 int hb = to_5(pSrc_pixels[high_c].b);
2692
2693 uint8_t trial_sels[16];
2694 uint32_t trial_err = bc1_find_sels3_fullerr(true, pSrc_pixels, lr, lg, lb, hr, hg, hb, trial_sels, UINT32_MAX);
2695
2696 if (trial_err)
2697 {
2698 const uint32_t total_ls_passes = flags & cEncodeBC1TwoLeastSquaresPasses ? 2 : 1;
2699 for (uint32_t trials = 0; trials < total_ls_passes; trials++)
2700 {
2701 vec3F xl, xh;
2702 int lr2, lg2, lb2, hr2, hg2, hb2;
2703 if (!compute_least_squares_endpoints3_rgb(true, pSrc_pixels, trial_sels, &xl, &xh))
2704 {
2705 lr2 = g_bc1_match5_half[avg_r].m_hi;
2706 lg2 = g_bc1_match6_half[avg_g].m_hi;
2707 lb2 = g_bc1_match5_half[avg_b].m_hi;
2708
2709 hr2 = g_bc1_match5_half[avg_r].m_lo;
2710 hg2 = g_bc1_match6_half[avg_g].m_lo;
2711 hb2 = g_bc1_match5_half[avg_b].m_lo;
2712 }
2713 else
2714 {
2715 precise_round_565(xl, xh, hr2, hg2, hb2, lr2, lg2, lb2);
2716 }
2717
2718 if ((lr == lr2) && (lg == lg2) && (lb == lb2) && (hr == hr2) && (hg == hg2) && (hb == hb2))
2719 break;
2720
2721 uint8_t trial_sels2[16];
2722 uint32_t trial_err2 = bc1_find_sels3_fullerr(true, pSrc_pixels, lr2, lg2, lb2, hr2, hg2, hb2, trial_sels2, trial_err);
2723
2724 if (trial_err2 < trial_err)
2725 {
2726 trial_err = trial_err2;
2727 lr = lr2; lg = lg2; lb = lb2;
2728 hr = hr2; hg = hg2; hb = hb2;
2729 memcpy(trial_sels, trial_sels2, sizeof(trial_sels));
2730 }
2731 else
2732 break;
2733 }
2734 }
2735
2736 if (trial_err < cur_err)
2737 {
2738 results.m_3color = true;
2739 results.lr = lr;
2740 results.lg = lg;
2741 results.lb = lb;
2742 results.hr = hr;
2743 results.hg = hg;
2744 results.hb = hb;
2745 memcpy(results.sels, trial_sels, 16);
2746
2747 cur_err = trial_err;
2748
2749 return true;
2750 }
2751
2752 return false;
2753 }
2754
2755 static bool try_3color_block(const color32* pSrc_pixels, uint32_t flags, uint32_t &cur_err,
2756 int avg_r, int avg_g, int avg_b, int lr, int lg, int lb, int hr, int hg, int hb, int total_r, int total_g, int total_b, uint32_t total_orderings_to_try,
2757 bc1_encode_results &results)
2758 {
2759 uint8_t trial_sels[16];
2760 uint32_t trial_err = bc1_find_sels3_fullerr(false, pSrc_pixels, lr, lg, lb, hr, hg, hb, trial_sels, UINT32_MAX);
2761
2762 if (trial_err)
2763 {
2764 const uint32_t total_ls_passes = flags & cEncodeBC1TwoLeastSquaresPasses ? 2 : 1;
2765 for (uint32_t trials = 0; trials < total_ls_passes; trials++)
2766 {
2767 vec3F xl, xh;
2768 int lr2, lg2, lb2, hr2, hg2, hb2;
2769 if (!compute_least_squares_endpoints3_rgb(false, pSrc_pixels, trial_sels, &xl, &xh))
2770 {
2771 lr2 = g_bc1_match5_half[avg_r].m_hi;
2772 lg2 = g_bc1_match6_half[avg_g].m_hi;
2773 lb2 = g_bc1_match5_half[avg_b].m_hi;
2774
2775 hr2 = g_bc1_match5_half[avg_r].m_lo;
2776 hg2 = g_bc1_match6_half[avg_g].m_lo;
2777 hb2 = g_bc1_match5_half[avg_b].m_lo;
2778 }
2779 else
2780 {
2781 precise_round_565(xl, xh, hr2, hg2, hb2, lr2, lg2, lb2);
2782 }
2783
2784 if ((lr == lr2) && (lg == lg2) && (lb == lb2) && (hr == hr2) && (hg == hg2) && (hb == hb2))
2785 break;
2786
2787 uint8_t trial_sels2[16];
2788 uint32_t trial_err2 = bc1_find_sels3_fullerr(false, pSrc_pixels, lr2, lg2, lb2, hr2, hg2, hb2, trial_sels2, trial_err);
2789
2790 if (trial_err2 < trial_err)
2791 {
2792 trial_err = trial_err2;
2793 lr = lr2; lg = lg2; lb = lb2;
2794 hr = hr2; hg = hg2; hb = hb2;
2795 memcpy(trial_sels, trial_sels2, sizeof(trial_sels));
2796 }
2797 else
2798 break;
2799 }
2800 }
2801
2802 if ((trial_err) && (flags & cEncodeBC1UseLikelyTotalOrderings) && (total_orderings_to_try))
2803 {
2804 hist3 h;
2805 for (uint32_t i = 0; i < 16; i++)
2806 {
2807 assert(trial_sels[i] < 3);
2808 h.m_hist[trial_sels[i]]++;
2809 }
2810
2811 const uint32_t orig_total_order_index = h.lookup_total_ordering_index();
2812
2813 int r0, g0, b0, r3, g3, b3;
2814 r0 = (lr << 3) | (lr >> 2); g0 = (lg << 2) | (lg >> 4); b0 = (lb << 3) | (lb >> 2);
2815 r3 = (hr << 3) | (hr >> 2); g3 = (hg << 2) | (hg >> 4); b3 = (hb << 3) | (hb >> 2);
2816
2817 int ar = r3 - r0, ag = g3 - g0, ab = b3 - b0;
2818
2819 int dots[16];
2820 for (uint32_t i = 0; i < 16; i++)
2821 {
2822 int r = pSrc_pixels[i].r;
2823 int g = pSrc_pixels[i].g;
2824 int b = pSrc_pixels[i].b;
2825 int d = 0x1000000 + (r * ar + g * ag + b * ab);
2826 assert(d >= 0);
2827 dots[i] = (d << 4) + i;
2828 }
2829
2830 #ifdef RGBCX_NO_ALGORITHM
2831 qsort( dots, 16, sizeof(int), std_sort_int );
2832 #else
2833 std::sort(dots, dots + 16);
2834 #endif
2835
2836 uint32_t r_sum[17], g_sum[17], b_sum[17];
2837 uint32_t r = 0, g = 0, b = 0;
2838 for (uint32_t i = 0; i < 16; i++)
2839 {
2840 const uint32_t p = dots[i] & 15;
2841
2842 r_sum[i] = r;
2843 g_sum[i] = g;
2844 b_sum[i] = b;
2845
2846 r += pSrc_pixels[p].r;
2847 g += pSrc_pixels[p].g;
2848 b += pSrc_pixels[p].b;
2849 }
2850
2851 r_sum[16] = total_r;
2852 g_sum[16] = total_g;
2853 b_sum[16] = total_b;
2854
2855 const uint32_t q_total = (flags & cEncodeBC1Exhaustive) ? NUM_UNIQUE_TOTAL_ORDERINGS3 : std::min(total_orderings_to_try, MAX_TOTAL_ORDERINGS3);
2856 for (uint32_t q = 0; q < q_total; q++)
2857 {
2858 const uint32_t s = (flags & cEncodeBC1Exhaustive) ? q : g_best_total_orderings3[orig_total_order_index][q];
2859
2860 int trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb;
2861
2862 vec3F xl, xh;
2863
2864 if ((s == TOTAL_ORDER_3_0_16) || (s == TOTAL_ORDER_3_1_16) || (s == TOTAL_ORDER_3_2_16))
2865 {
2866 trial_lr = g_bc1_match5_half[avg_r].m_hi;
2867 trial_lg = g_bc1_match6_half[avg_g].m_hi;
2868 trial_lb = g_bc1_match5_half[avg_b].m_hi;
2869
2870 trial_hr = g_bc1_match5_half[avg_r].m_lo;
2871 trial_hg = g_bc1_match6_half[avg_g].m_lo;
2872 trial_hb = g_bc1_match5_half[avg_b].m_lo;
2873 }
2874 else
2875 {
2876 compute_least_squares_endpoints3_rgb(&xl, &xh, total_r, total_g, total_b,
2877 g_selector_factors3[s][0], g_selector_factors3[s][1], g_selector_factors3[s][2], s, r_sum, g_sum, b_sum);
2878
2879 precise_round_565(xl, xh, trial_hr, trial_hg, trial_hb, trial_lr, trial_lg, trial_lb);
2880 }
2881
2882 uint8_t trial_sels2[16];
2883 uint32_t trial_err2 = bc1_find_sels3_fullerr(false, pSrc_pixels, trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb, trial_sels2, UINT32_MAX);
2884
2885 if (trial_err2 < trial_err)
2886 {
2887 trial_err = trial_err2;
2888
2889 lr = trial_lr;
2890 lg = trial_lg;
2891 lb = trial_lb;
2892
2893 hr = trial_hr;
2894 hg = trial_hg;
2895 hb = trial_hb;
2896
2897 memcpy(trial_sels, trial_sels2, sizeof(trial_sels));
2898 }
2899
2900 } // s
2901 }
2902
2903 if (trial_err < cur_err)
2904 {
2905 results.m_3color = true;
2906 results.lr = lr;
2907 results.lg = lg;
2908 results.lb = lb;
2909 results.hr = hr;
2910 results.hg = hg;
2911 results.hb = hb;
2912 memcpy(results.sels, trial_sels, 16);
2913
2914 cur_err = trial_err;
2915
2916 return true;
2917 }
2918
2919 return false;
2920 }
2921
2922 void encode_bc1(uint32_t level, void* pDst, const uint8_t* pPixels, bool allow_3color, bool allow_transparent_texels_for_black)
2923 {
2924 uint32_t flags = 0, total_orderings4 = 1, total_orderings3 = 1;
2925
2926 static_assert(MAX_TOTAL_ORDERINGS3 >= 32, "MAX_TOTAL_ORDERINGS3 >= 32");
2927 static_assert(MAX_TOTAL_ORDERINGS4 >= 32, "MAX_TOTAL_ORDERINGS4 >= 32");
2928
2929 switch (level)
2930 {
2931 case 0:
2932 // Faster/higher quality than stb_dxt default.
2933 flags = cEncodeBC1BoundingBoxInt;
2934 break;
2935 case 1:
2936 // Faster/higher quality than stb_dxt default. A bit higher average quality vs. mode 0.
2937 flags = cEncodeBC1Use2DLS;
2938 break;
2939 case 2:
2940 // On average mode 2 is a little weaker than modes 0/1, but it's stronger on outliers (very tough textures).
2941 // Slightly stronger than stb_dxt.
2942 flags = 0;
2943 break;
2944 case 3:
2945 // Slightly stronger than stb_dxt HIGHQUAL.
2946 flags = cEncodeBC1TwoLeastSquaresPasses;
2947 break;
2948 case 4:
2949 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFullMSEEval | cEncodeBC1Use6PowerIters;
2950 break;
2951 default:
2952 case 5:
2953 // stb_dxt HIGHQUAL + permit 3 color (if it's enabled).
2954 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFasterMSEEval;
2955 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2956 break;
2957 case 6:
2958 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFasterMSEEval | cEncodeBC1UseLikelyTotalOrderings;
2959 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2960 break;
2961 case 7:
2962 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFasterMSEEval | cEncodeBC1UseLikelyTotalOrderings;
2963 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2964 total_orderings4 = 4;
2965 break;
2966 case 8:
2967 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFasterMSEEval | cEncodeBC1UseLikelyTotalOrderings;
2968 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2969 total_orderings4 = 8;
2970 break;
2971 case 9:
2972 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseLikelyTotalOrderings;
2973 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2974 total_orderings4 = 11;
2975 total_orderings3 = 3;
2976 break;
2977 case 10:
2978 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseLikelyTotalOrderings;
2979 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2980 total_orderings4 = 20;
2981 total_orderings3 = 8;
2982 break;
2983 case 11:
2984 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseLikelyTotalOrderings;
2985 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2986 total_orderings4 = 28;
2987 total_orderings3 = 16;
2988 break;
2989 case 12:
2990 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseLikelyTotalOrderings;
2991 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2992 total_orderings4 = 32;
2993 total_orderings3 = 32;
2994 break;
2995 case 13:
2996 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFullMSEEval | cEncodeBC1UseLikelyTotalOrderings | cEncodeBC1Use6PowerIters | (20 << cEncodeBC1EndpointSearchRoundsShift) | cEncodeBC1TryAllInitialEndponts;
2997 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
2998 total_orderings4 = 32;
2999 total_orderings3 = 32;
3000 break;
3001 case 14:
3002 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFullMSEEval | cEncodeBC1UseLikelyTotalOrderings | cEncodeBC1Use6PowerIters | (32 << cEncodeBC1EndpointSearchRoundsShift) | cEncodeBC1TryAllInitialEndponts;
3003 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
3004 total_orderings4 = 32;
3005 total_orderings3 = 32;
3006 break;
3007 case 15:
3008 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFullMSEEval | cEncodeBC1UseLikelyTotalOrderings | cEncodeBC1Use6PowerIters | (32 << cEncodeBC1EndpointSearchRoundsShift) | cEncodeBC1TryAllInitialEndponts;
3009 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
3010 total_orderings4 = ((((32 + MAX_TOTAL_ORDERINGS4) / 2) + 32) / 2);
3011 total_orderings3 = 32;
3012 break;
3013 case 16:
3014 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFullMSEEval | cEncodeBC1UseLikelyTotalOrderings | cEncodeBC1Use6PowerIters | (256 << cEncodeBC1EndpointSearchRoundsShift) | cEncodeBC1TryAllInitialEndponts;
3015 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
3016 total_orderings4 = (32 + MAX_TOTAL_ORDERINGS4) / 2;
3017 total_orderings3 = 32;
3018 break;
3019 case 17:
3020 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFullMSEEval | cEncodeBC1UseLikelyTotalOrderings | cEncodeBC1Use6PowerIters | (256 << cEncodeBC1EndpointSearchRoundsShift) | cEncodeBC1TryAllInitialEndponts;
3021 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
3022 total_orderings4 = MAX_TOTAL_ORDERINGS4;
3023 total_orderings3 = 32;
3024 break;
3025 case 18:
3026 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFullMSEEval | cEncodeBC1UseLikelyTotalOrderings | cEncodeBC1Use6PowerIters | cEncodeBC1Iterative | (256 << cEncodeBC1EndpointSearchRoundsShift) | cEncodeBC1TryAllInitialEndponts;
3027 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
3028 total_orderings4 = MAX_TOTAL_ORDERINGS4;
3029 total_orderings3 = 32;
3030 break;
3031 case 19:
3032 // This hidden mode is *extremely* slow and abuses the encoder. It's just for testing/training.
3033 flags = cEncodeBC1TwoLeastSquaresPasses | cEncodeBC1UseFullMSEEval | cEncodeBC1UseLikelyTotalOrderings | cEncodeBC1Use6PowerIters | cEncodeBC1Exhaustive | cEncodeBC1Iterative | (256 << cEncodeBC1EndpointSearchRoundsShift) | cEncodeBC1TryAllInitialEndponts;
3034 flags |= (allow_3color ? cEncodeBC1Use3ColorBlocks : 0) | (allow_transparent_texels_for_black ? cEncodeBC1Use3ColorBlocksForBlackPixels : 0);
3035 total_orderings4 = 32;
3036 total_orderings3 = 32;
3037 break;
3038 }
3039
3040 encode_bc1(pDst, pPixels, flags, total_orderings4, total_orderings3);
3041 }
3042
3043 static inline void encode_bc1_pick_initial(const color32 *pSrc_pixels, uint32_t flags, bool grayscale_flag,
3044 int min_r, int min_g, int min_b, int max_r, int max_g, int max_b,
3045 int avg_r, int avg_g, int avg_b, int total_r, int total_g, int total_b,
3046 int &lr, int &lg, int &lb, int &hr, int &hg, int &hb)
3047 {
3048 if (grayscale_flag)
3049 {
3050 const int fr = pSrc_pixels[0].r;
3051
3052 // Grayscale blocks are a common enough case to specialize.
3053 if ((max_r - min_r) < 2)
3054 {
3055 lr = lb = hr = hb = to_5(fr);
3056 lg = hg = to_6(fr);
3057 }
3058 else
3059 {
3060 lr = lb = to_5(min_r);
3061 lg = to_6(min_r);
3062
3063 hr = hb = to_5(max_r);
3064 hg = to_6(max_r);
3065 }
3066 }
3067 else if (flags & cEncodeBC1Use2DLS)
3068 {
3069 // 2D Least Squares approach from Humus's example, with added inset and optimal rounding.
3070 int big_chan = 0, min_chan_val = min_r, max_chan_val = max_r;
3071 if ((max_g - min_g) > (max_chan_val - min_chan_val))
3072 big_chan = 1, min_chan_val = min_g, max_chan_val = max_g;
3073
3074 if ((max_b - min_b) > (max_chan_val - min_chan_val))
3075 big_chan = 2, min_chan_val = min_b, max_chan_val = max_b;
3076
3077 int sum_xy_r = 0, sum_xy_g = 0, sum_xy_b = 0;
3078 vec3F l, h;
3079 if (big_chan == 0)
3080 {
3081 for (uint32_t i = 0; i < 16; i++)
3082 {
3083 const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
3084 sum_xy_r += r * r, sum_xy_g += r * g, sum_xy_b += r * b;
3085 }
3086
3087 int sum_x = total_r;
3088 int sum_x2 = sum_xy_r;
3089
3090 float div = (float)(16 * sum_x2 - sum_x * sum_x);
3091 float b_y = 0.0f, b_z = 0.0f;
3092 if (fabs(div) > 1e-8f)
3093 {
3094 div = 1.0f / div;
3095 b_y = (16 * sum_xy_g - sum_x * total_g) * div;
3096 b_z = (16 * sum_xy_b - sum_x * total_b) * div;
3097 }
3098
3099 float a_y = (total_g - b_y * sum_x) / 16.0f;
3100 float a_z = (total_b - b_z * sum_x) / 16.0f;
3101
3102 l.c[1] = a_y + b_y * min_chan_val;
3103 l.c[2] = a_z + b_z * min_chan_val;
3104
3105 h.c[1] = a_y + b_y * max_chan_val;
3106 h.c[2] = a_z + b_z * max_chan_val;
3107
3108 float dg = (h.c[1] - l.c[1]);
3109 float db = (h.c[2] - l.c[2]);
3110
3111 h.c[1] = l.c[1] + dg * (15.0f/16.0f);
3112 h.c[2] = l.c[2] + db * (15.0f/16.0f);
3113
3114 l.c[1] = l.c[1] + dg * (1.0f/16.0f);
3115 l.c[2] = l.c[2] + db * (1.0f/16.0f);
3116
3117 float d = (float)(max_chan_val - min_chan_val);
3118 float fmin_chan_val = min_chan_val + d * (1.0f/16.0f);
3119 float fmax_chan_val = min_chan_val + d * (15.0f/16.0f);
3120
3121 l.c[0] = fmin_chan_val;
3122 h.c[0] = fmax_chan_val;
3123 }
3124 else if (big_chan == 1)
3125 {
3126 for (uint32_t i = 0; i < 16; i++)
3127 {
3128 const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
3129 sum_xy_r += g * r, sum_xy_g += g * g, sum_xy_b += g * b;
3130 }
3131
3132 int sum_x = total_g;
3133 int sum_x2 = sum_xy_g;
3134
3135 float div = (float)(16 * sum_x2 - sum_x * sum_x);
3136 float b_x = 0.0f, b_z = 0.0f;
3137 if (fabs(div) > 1e-8f)
3138 {
3139 div = 1.0f / div;
3140 b_x = (16 * sum_xy_r - sum_x * total_r) * div;
3141 b_z = (16 * sum_xy_b - sum_x * total_b) * div;
3142 }
3143
3144 float a_x = (total_r - b_x * sum_x) / 16.0f;
3145 float a_z = (total_b - b_z * sum_x) / 16.0f;
3146
3147 l.c[0] = a_x + b_x * min_chan_val;
3148 l.c[2] = a_z + b_z * min_chan_val;
3149
3150 h.c[0] = a_x + b_x * max_chan_val;
3151 h.c[2] = a_z + b_z * max_chan_val;
3152
3153 float dr = (h.c[0] - l.c[0]);
3154 float db = (h.c[2] - l.c[2]);
3155
3156 h.c[0] = l.c[0] + dr * (15.0f/16.0f);
3157 h.c[2] = l.c[2] + db * (15.0f/16.0f);
3158
3159 l.c[0] = l.c[0] + dr * (1.0f/16.0f);
3160 l.c[2] = l.c[2] + db * (1.0f/16.0f);
3161
3162 float d = (float)(max_chan_val - min_chan_val);
3163 float fmin_chan_val = min_chan_val + d * (1.0f/16.0f);
3164 float fmax_chan_val = min_chan_val + d * (15.0f/16.0f);
3165
3166 l.c[1] = fmin_chan_val;
3167 h.c[1] = fmax_chan_val;
3168 }
3169 else
3170 {
3171 for (uint32_t i = 0; i < 16; i++)
3172 {
3173 const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
3174 sum_xy_r += b * r, sum_xy_g += b * g, sum_xy_b += b * b;
3175 }
3176
3177 int sum_x = total_b;
3178 int sum_x2 = sum_xy_b;
3179
3180 float div = (float)(16 * sum_x2 - sum_x * sum_x);
3181 float b_x = 0.0f, b_y = 0.0f;
3182 if (fabs(div) > 1e-8f)
3183 {
3184 div = 1.0f / div;
3185 b_x = (16 * sum_xy_r - sum_x * total_r) * div;
3186 b_y = (16 * sum_xy_g - sum_x * total_g) * div;
3187 }
3188
3189 float a_x = (total_r - b_x * sum_x) / 16.0f;
3190 float a_y = (total_g - b_y * sum_x) / 16.0f;
3191
3192 l.c[0] = a_x + b_x * min_chan_val;
3193 l.c[1] = a_y + b_y * min_chan_val;
3194
3195 h.c[0] = a_x + b_x * max_chan_val;
3196 h.c[1] = a_y + b_y * max_chan_val;
3197
3198 float dr = (h.c[0] - l.c[0]);
3199 float dg = (h.c[1] - l.c[1]);
3200
3201 h.c[0] = l.c[0] + dr * (15.0f/16.0f);
3202 h.c[1] = l.c[1] + dg * (15.0f/16.0f);
3203
3204 l.c[0] = l.c[0] + dr * (1.0f/16.0f);
3205 l.c[1] = l.c[1] + dg * (1.0f/16.0f);
3206
3207 float d = (float)(max_chan_val - min_chan_val);
3208 float fmin_chan_val = min_chan_val + d * (1.0f/16.0f);
3209 float fmax_chan_val = min_chan_val + d * (15.0f/16.0f);
3210
3211 l.c[2] = fmin_chan_val;
3212 h.c[2] = fmax_chan_val;
3213 }
3214
3215 precise_round_565_noscale(l, h, lr, lg, lb, hr, hg, hb);
3216 }
3217 else if (flags & cEncodeBC1BoundingBox)
3218 {
3219 // Algorithm from icbc.h compress_dxt1_fast()
3220 vec3F l, h;
3221 l.c[0] = min_r * (1.0f/255.0f);
3222 l.c[1] = min_g * (1.0f/255.0f);
3223 l.c[2] = min_b * (1.0f/255.0f);
3224
3225 h.c[0] = max_r * (1.0f/255.0f);
3226 h.c[1] = max_g * (1.0f/255.0f);
3227 h.c[2] = max_b * (1.0f/255.0f);
3228
3229 const float bias = 8.0f / 255.0f;
3230 float inset_r = (h.c[0] - l.c[0] - bias) * (1.0f/16.0f);
3231 float inset_g = (h.c[1] - l.c[1] - bias) * (1.0f/16.0f);
3232 float inset_b = (h.c[2] - l.c[2] - bias) * (1.0f/16.0f);
3233
3234 l.c[0] = clampf(l.c[0] + inset_r, 0.0f, 1.0f);
3235 l.c[1] = clampf(l.c[1] + inset_g, 0.0f, 1.0f);
3236 l.c[2] = clampf(l.c[2] + inset_b, 0.0f, 1.0f);
3237
3238 h.c[0] = clampf(h.c[0] - inset_r, 0.0f, 1.0f);
3239 h.c[1] = clampf(h.c[1] - inset_g, 0.0f, 1.0f);
3240 h.c[2] = clampf(h.c[2] - inset_b, 0.0f, 1.0f);
3241
3242 int icov_xz = 0, icov_yz = 0;
3243 for (uint32_t i = 0; i < 16; i++)
3244 {
3245 int r = (int)pSrc_pixels[i].r - avg_r;
3246 int g = (int)pSrc_pixels[i].g - avg_g;
3247 int b = (int)pSrc_pixels[i].b - avg_b;
3248 icov_xz += r * b;
3249 icov_yz += g * b;
3250 }
3251
3252 if (icov_xz < 0)
3253 std::swap(l.c[0], h.c[0]);
3254
3255 if (icov_yz < 0)
3256 std::swap(l.c[1], h.c[1]);
3257
3258 precise_round_565(l, h, lr, lg, lb, hr, hg, hb);
3259 }
3260 else if (flags & cEncodeBC1BoundingBoxInt)
3261 {
3262 // Algorithm from icbc.h compress_dxt1_fast(), but converted to integer.
3263 int inset_r = (max_r - min_r - 8) >> 4;
3264 int inset_g = (max_g - min_g - 8) >> 4;
3265 int inset_b = (max_b - min_b - 8) >> 4;
3266
3267 min_r += inset_r;
3268 min_g += inset_g;
3269 min_b += inset_b;
3270 if ((uint32_t)(min_r | min_g | min_b) > 255U)
3271 {
3272 min_r = clampi(min_r, 0, 255);
3273 min_g = clampi(min_g, 0, 255);
3274 min_b = clampi(min_b, 0, 255);
3275 }
3276
3277 max_r -= inset_r;
3278 max_g -= inset_g;
3279 max_b -= inset_b;
3280 if ((uint32_t)(max_r | max_g | max_b) > 255U)
3281 {
3282 max_r = clampi(max_r, 0, 255);
3283 max_g = clampi(max_g, 0, 255);
3284 max_b = clampi(max_b, 0, 255);
3285 }
3286
3287 int icov_xz = 0, icov_yz = 0;
3288 for (uint32_t i = 0; i < 16; i++)
3289 {
3290 int r = (int)pSrc_pixels[i].r - avg_r;
3291 int g = (int)pSrc_pixels[i].g - avg_g;
3292 int b = (int)pSrc_pixels[i].b - avg_b;
3293 icov_xz += r * b;
3294 icov_yz += g * b;
3295 }
3296
3297 int x0 = min_r;
3298 int y0 = min_g;
3299 int x1 = max_r;
3300 int y1 = max_g;
3301
3302 if (icov_xz < 0)
3303 std::swap(x0, x1);
3304
3305 if (icov_yz < 0)
3306 std::swap(y0, y1);
3307
3308 lr = to_5(x0);
3309 lg = to_6(y0);
3310 lb = to_5(min_b);
3311
3312 hr = to_5(x1);
3313 hg = to_6(y1);
3314 hb = to_5(max_b);
3315 }
3316 else
3317 {
3318 // Select 2 colors along the principle axis. (There must be a faster/simpler way.)
3319 uint32_t low_c = 0, high_c = 0;
3320
3321 int icov[6] = { 0, 0, 0, 0, 0, 0 };
3322 for (uint32_t i = 0; i < 16; i++)
3323 {
3324 int r = (int)pSrc_pixels[i].r - avg_r;
3325 int g = (int)pSrc_pixels[i].g - avg_g;
3326 int b = (int)pSrc_pixels[i].b - avg_b;
3327 icov[0] += r * r;
3328 icov[1] += r * g;
3329 icov[2] += r * b;
3330 icov[3] += g * g;
3331 icov[4] += g * b;
3332 icov[5] += b * b;
3333 }
3334
3335 int saxis_r = 306, saxis_g = 601, saxis_b = 117;
3336
3337 float xr = (float)(max_r - min_r);
3338 float xg = (float)(max_g - min_g);
3339 float xb = (float)(max_b - min_b);
3340
3341 if (icov[2] < 0)
3342 xr = -xr;
3343
3344 if (icov[4] < 0)
3345 xg = -xg;
3346
3347 float cov[6];
3348 for (uint32_t i = 0; i < 6; i++)
3349 cov[i] = (float)(icov[i]) * (1.0f / 255.0f);
3350
3351 const uint32_t total_power_iters = (flags & cEncodeBC1Use6PowerIters) ? 6 : 4;
3352 for (uint32_t power_iter = 0; power_iter < total_power_iters; power_iter++)
3353 {
3354 float r = xr * cov[0] + xg * cov[1] + xb * cov[2];
3355 float g = xr * cov[1] + xg * cov[3] + xb * cov[4];
3356 float b = xr * cov[2] + xg * cov[4] + xb * cov[5];
3357 xr = r; xg = g; xb = b;
3358 }
3359
3360 float k = maximum(fabsf(xr), fabsf(xg), fabsf(xb));
3361 if (k >= 2)
3362 {
3363 float m = 2048.0f / k;
3364 saxis_r = (int)(xr * m);
3365 saxis_g = (int)(xg * m);
3366 saxis_b = (int)(xb * m);
3367 }
3368
3369 int low_dot = INT_MAX, high_dot = INT_MIN;
3370
3371 saxis_r = (int)((uint32_t)saxis_r << 4U);
3372 saxis_g = (int)((uint32_t)saxis_g << 4U);
3373 saxis_b = (int)((uint32_t)saxis_b << 4U);
3374
3375 for (uint32_t i = 0; i < 16; i += 4)
3376 {
3377 int dot0 = ((pSrc_pixels[i].r * saxis_r + pSrc_pixels[i].g * saxis_g + pSrc_pixels[i].b * saxis_b) & ~0xF) + i;
3378 int dot1 = ((pSrc_pixels[i + 1].r * saxis_r + pSrc_pixels[i + 1].g * saxis_g + pSrc_pixels[i + 1].b * saxis_b) & ~0xF) + i + 1;
3379 int dot2 = ((pSrc_pixels[i + 2].r * saxis_r + pSrc_pixels[i + 2].g * saxis_g + pSrc_pixels[i + 2].b * saxis_b) & ~0xF) + i + 2;
3380 int dot3 = ((pSrc_pixels[i + 3].r * saxis_r + pSrc_pixels[i + 3].g * saxis_g + pSrc_pixels[i + 3].b * saxis_b) & ~0xF) + i + 3;
3381
3382 int min_d01 = std::min(dot0, dot1);
3383 int max_d01 = std::max(dot0, dot1);
3384
3385 int min_d23 = std::min(dot2, dot3);
3386 int max_d23 = std::max(dot2, dot3);
3387
3388 int min_d = std::min(min_d01, min_d23);
3389 int max_d = std::max(max_d01, max_d23);
3390
3391 low_dot = std::min(low_dot, min_d);
3392 high_dot = std::max(high_dot, max_d);
3393 }
3394 low_c = low_dot & 15;
3395 high_c = high_dot & 15;
3396
3397 lr = to_5(pSrc_pixels[low_c].r);
3398 lg = to_6(pSrc_pixels[low_c].g);
3399 lb = to_5(pSrc_pixels[low_c].b);
3400
3401 hr = to_5(pSrc_pixels[high_c].r);
3402 hg = to_6(pSrc_pixels[high_c].g);
3403 hb = to_5(pSrc_pixels[high_c].b);
3404 }
3405 }
3406
3407 static const int8_t s_adjacent_voxels[16][4] =
3408 {
3409 { 1,0,0, 3 }, // 0
3410 { 0,1,0, 4 }, // 1
3411 { 0,0,1, 5 }, // 2
3412 { -1,0,0, 0 }, // 3
3413 { 0,-1,0, 1 }, // 4
3414 { 0,0,-1, 2 }, // 5
3415 { 1,1,0, 9 }, // 6
3416 { 1,0,1, 10 }, // 7
3417 { 0,1,1, 11 }, // 8
3418 { -1,-1,0, 6 }, // 9
3419 { -1,0,-1, 7 }, // 10
3420 { 0,-1,-1, 8 }, // 11
3421 { -1,1,0, 13 }, // 12
3422 { 1,-1,0, 12 }, // 13
3423 { 0,-1,1, 15 }, // 14
3424 { 0,1,-1, 14 }, // 15
3425 };
3426
3427 // From icbc's high quality mode.
3428 static inline void encode_bc1_endpoint_search(const color32 *pSrc_pixels, bool any_black_pixels,
3429 uint32_t flags, bc1_encode_results &results, uint32_t cur_err)
3430 {
3431 int &lr = results.lr, &lg = results.lg, &lb = results.lb, &hr = results.hr, &hg = results.hg, &hb = results.hb;
3432 uint8_t *sels = results.sels;
3433
3434 int prev_improvement_index = 0, forbidden_direction = -1;
3435
3436 const int endpoint_search_rounds = (flags & cEncodeBC1EndpointSearchRoundsMask) >> cEncodeBC1EndpointSearchRoundsShift;
3437 for (int i = 0; i < endpoint_search_rounds; i++)
3438 {
3439 assert(s_adjacent_voxels[ s_adjacent_voxels[i & 15][3] ][3] == (i & 15));
3440
3441 if (forbidden_direction == (i & 31))
3442 continue;
3443
3444 const int8_t delta[3] = { s_adjacent_voxels[i & 15][0], s_adjacent_voxels[i & 15][1], s_adjacent_voxels[i & 15][2] };
3445
3446 int trial_lr = lr, trial_lg = lg, trial_lb = lb, trial_hr = hr, trial_hg = hg, trial_hb = hb;
3447
3448 if ((i >> 4) & 1)
3449 {
3450 trial_lr = clampi(trial_lr + delta[0], 0, 31);
3451 trial_lg = clampi(trial_lg + delta[1], 0, 63);
3452 trial_lb = clampi(trial_lb + delta[2], 0, 31);
3453 }
3454 else
3455 {
3456 trial_hr = clampi(trial_hr + delta[0], 0, 31);
3457 trial_hg = clampi(trial_hg + delta[1], 0, 63);
3458 trial_hb = clampi(trial_hb + delta[2], 0, 31);
3459 }
3460
3461 uint8_t trial_sels[16];
3462
3463 uint32_t trial_err;
3464 if (results.m_3color)
3465 {
3466 trial_err = bc1_find_sels3_fullerr(
3467 ((any_black_pixels) && ((flags & cEncodeBC1Use3ColorBlocksForBlackPixels) != 0)),
3468 pSrc_pixels, trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb, trial_sels, cur_err);
3469 }
3470 else
3471 {
3472 trial_err = bc1_find_sels4(flags, pSrc_pixels, trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb, trial_sels, cur_err);
3473 }
3474
3475 if (trial_err < cur_err)
3476 {
3477 cur_err = trial_err;
3478
3479 forbidden_direction = s_adjacent_voxels[i & 15][3] | (i & 16);
3480
3481 lr = trial_lr, lg = trial_lg, lb = trial_lb, hr = trial_hr, hg = trial_hg, hb = trial_hb;
3482
3483 memcpy(sels, trial_sels, 16);
3484
3485 prev_improvement_index = i;
3486 }
3487
3488 if (i - prev_improvement_index > 32)
3489 break;
3490 }
3491 }
3492
3493 void encode_bc1(void* pDst, const uint8_t* pPixels, uint32_t flags, uint32_t total_orderings_to_try, uint32_t total_orderings_to_try3)
3494 {
3495 assert(g_initialized);
3496
3497 const color32* pSrc_pixels = (const color32*)pPixels;
3498 bc1_block* pDst_block = static_cast<bc1_block*>(pDst);
3499
3500 int avg_r, avg_g, avg_b, min_r, min_g, min_b, max_r, max_g, max_b;
3501
3502 const uint32_t fr = pSrc_pixels[0].r, fg = pSrc_pixels[0].g, fb = pSrc_pixels[0].b;
3503
3504 uint32_t j;
3505 for (j = 15; j >= 1; --j)
3506 if ((pSrc_pixels[j].r != fr) || (pSrc_pixels[j].g != fg) || (pSrc_pixels[j].b != fb))
3507 break;
3508
3509 if (j == 0)
3510 {
3511 encode_bc1_solid_block(pDst, fr, fg, fb, (flags & (cEncodeBC1Use3ColorBlocks | cEncodeBC1Use3ColorBlocksForBlackPixels)) != 0);
3512 return;
3513 }
3514
3515 int total_r = fr, total_g = fg, total_b = fb;
3516
3517 max_r = fr, max_g = fg, max_b = fb;
3518 min_r = fr, min_g = fg, min_b = fb;
3519
3520 uint32_t grayscale_flag = (fr == fg) && (fr == fb);
3521 uint32_t any_black_pixels = (fr | fg | fb) < 4;
3522
3523 for (uint32_t i = 1; i < 16; i++)
3524 {
3525 const int r = pSrc_pixels[i].r, g = pSrc_pixels[i].g, b = pSrc_pixels[i].b;
3526
3527 grayscale_flag &= ((r == g) && (r == b));
3528 any_black_pixels |= ((r | g | b) < 4);
3529
3530 max_r = std::max(max_r, r); max_g = std::max(max_g, g); max_b = std::max(max_b, b);
3531 min_r = std::min(min_r, r); min_g = std::min(min_g, g); min_b = std::min(min_b, b);
3532 total_r += r; total_g += g; total_b += b;
3533 }
3534
3535 avg_r = (total_r + 8) >> 4, avg_g = (total_g + 8) >> 4, avg_b = (total_b + 8) >> 4;
3536
3537 bc1_encode_results results;
3538 results.m_3color = false;
3539
3540 uint8_t *sels = results.sels;
3541 int &lr = results.lr, &lg = results.lg, &lb = results.lb, &hr = results.hr, &hg = results.hg, &hb = results.hb;
3542 int orig_lr = 0, orig_lg = 0, orig_lb = 0, orig_hr = 0, orig_hg = 0, orig_hb = 0;
3543
3544 lr = 0, lg = 0, lb = 0, hr = 0, hg = 0, hb = 0;
3545
3546 const bool needs_block_error = ((flags & (cEncodeBC1UseLikelyTotalOrderings | cEncodeBC1Use3ColorBlocks | cEncodeBC1UseFullMSEEval | cEncodeBC1EndpointSearchRoundsMask)) != 0) ||
3547 (any_black_pixels && ((flags & cEncodeBC1Use3ColorBlocksForBlackPixels) != 0));
3548
3549 uint32_t cur_err = UINT32_MAX;
3550
3551 if (!needs_block_error)
3552 {
3553 assert((flags & cEncodeBC1TryAllInitialEndponts) == 0);
3554
3555 encode_bc1_pick_initial(pSrc_pixels, flags, grayscale_flag != 0,
3556 min_r, min_g, min_b, max_r, max_g, max_b,
3557 avg_r, avg_g, avg_b, total_r, total_g, total_b,
3558 lr, lg, lb, hr, hg, hb);
3559
3560 orig_lr = lr, orig_lg = lg, orig_lb = lb, orig_hr = hr, orig_hg = hg, orig_hb = hb;
3561
3562 bc1_find_sels4_noerr(pSrc_pixels, lr, lg, lb, hr, hg, hb, sels);
3563
3564 const uint32_t total_ls_passes = flags & cEncodeBC1TwoLeastSquaresPasses ? 2 : 1;
3565 for (uint32_t ls_pass = 0; ls_pass < total_ls_passes; ls_pass++)
3566 {
3567 int trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb;
3568
3569 vec3F xl, xh;
3570 if (!compute_least_squares_endpoints4_rgb(pSrc_pixels, sels, &xl, &xh, total_r, total_g, total_b))
3571 {
3572 // All selectors equal - treat it as a solid block which should always be equal or better.
3573 trial_lr = g_bc1_match5_equals_1[avg_r].m_hi;
3574 trial_lg = g_bc1_match6_equals_1[avg_g].m_hi;
3575 trial_lb = g_bc1_match5_equals_1[avg_b].m_hi;
3576
3577 trial_hr = g_bc1_match5_equals_1[avg_r].m_lo;
3578 trial_hg = g_bc1_match6_equals_1[avg_g].m_lo;
3579 trial_hb = g_bc1_match5_equals_1[avg_b].m_lo;
3580
3581 // In high/higher quality mode, let it try again in case the optimal tables have caused the sels to diverge.
3582 }
3583 else
3584 {
3585 precise_round_565(xl, xh, trial_hr, trial_hg, trial_hb, trial_lr, trial_lg, trial_lb);
3586 }
3587
3588 if ((lr == trial_lr) && (lg == trial_lg) && (lb == trial_lb) && (hr == trial_hr) && (hg == trial_hg) && (hb == trial_hb))
3589 break;
3590
3591 bc1_find_sels4_noerr(pSrc_pixels, trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb, sels);
3592
3593 lr = trial_lr;
3594 lg = trial_lg;
3595 lb = trial_lb;
3596 hr = trial_hr;
3597 hg = trial_hg;
3598 hb = trial_hb;
3599
3600 } // ls_pass
3601 }
3602 else
3603 {
3604 const uint32_t total_rounds = (flags & cEncodeBC1TryAllInitialEndponts) ? 2 : 1;
3605 for (uint32_t round = 0; round < total_rounds; round++)
3606 {
3607 uint32_t modified_flags = flags;
3608 if (round == 1)
3609 {
3610 modified_flags &= ~(cEncodeBC1Use2DLS | cEncodeBC1BoundingBox);
3611 modified_flags |= cEncodeBC1BoundingBox;
3612 }
3613
3614 int round_lr, round_lg, round_lb, round_hr, round_hg, round_hb;
3615 uint8_t round_sels[16];
3616
3617 encode_bc1_pick_initial(pSrc_pixels, modified_flags, grayscale_flag != 0,
3618 min_r, min_g, min_b, max_r, max_g, max_b,
3619 avg_r, avg_g, avg_b, total_r, total_g, total_b,
3620 round_lr, round_lg, round_lb, round_hr, round_hg, round_hb);
3621
3622 int orig_round_lr = round_lr, orig_round_lg = round_lg, orig_round_lb = round_lb, orig_round_hr = round_hr, orig_round_hg = round_hg, orig_round_hb = round_hb;
3623
3624 uint32_t round_err = bc1_find_sels4(flags, pSrc_pixels, round_lr, round_lg, round_lb, round_hr, round_hg, round_hb, round_sels, UINT32_MAX);
3625
3626 const uint32_t total_ls_passes = flags & cEncodeBC1TwoLeastSquaresPasses ? 2 : 1;
3627 for (uint32_t ls_pass = 0; ls_pass < total_ls_passes; ls_pass++)
3628 {
3629 int trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb;
3630
3631 vec3F xl, xh;
3632 if (!compute_least_squares_endpoints4_rgb(pSrc_pixels, round_sels, &xl, &xh, total_r, total_g, total_b))
3633 {
3634 // All selectors equal - treat it as a solid block which should always be equal or better.
3635 trial_lr = g_bc1_match5_equals_1[avg_r].m_hi;
3636 trial_lg = g_bc1_match6_equals_1[avg_g].m_hi;
3637 trial_lb = g_bc1_match5_equals_1[avg_b].m_hi;
3638
3639 trial_hr = g_bc1_match5_equals_1[avg_r].m_lo;
3640 trial_hg = g_bc1_match6_equals_1[avg_g].m_lo;
3641 trial_hb = g_bc1_match5_equals_1[avg_b].m_lo;
3642
3643 // In high/higher quality mode, let it try again in case the optimal tables have caused the sels to diverge.
3644 }
3645 else
3646 {
3647 precise_round_565(xl, xh, trial_hr, trial_hg, trial_hb, trial_lr, trial_lg, trial_lb);
3648 }
3649
3650 if ((round_lr == trial_lr) && (round_lg == trial_lg) && (round_lb == trial_lb) && (round_hr == trial_hr) && (round_hg == trial_hg) && (round_hb == trial_hb))
3651 break;
3652
3653 uint8_t trial_sels[16];
3654 uint32_t trial_err = bc1_find_sels4(flags, pSrc_pixels, trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb, trial_sels, round_err);
3655
3656 if (trial_err < round_err)
3657 {
3658 round_lr = trial_lr;
3659 round_lg = trial_lg;
3660 round_lb = trial_lb;
3661
3662 round_hr = trial_hr;
3663 round_hg = trial_hg;
3664 round_hb = trial_hb;
3665
3666 round_err = trial_err;
3667 memcpy(round_sels, trial_sels, 16);
3668 }
3669 else
3670 break;
3671
3672 } // ls_pass
3673
3674 if (round_err <= cur_err)
3675 {
3676 cur_err = round_err;
3677
3678 lr = round_lr;
3679 lg = round_lg;
3680 lb = round_lb;
3681 hr = round_hr;
3682 hg = round_hg;
3683 hb = round_hb;
3684
3685 orig_lr = orig_round_lr;
3686 orig_lg = orig_round_lg;
3687 orig_lb = orig_round_lb;
3688 orig_hr = orig_round_hr;
3689 orig_hg = orig_round_hg;
3690 orig_hb = orig_round_hb;
3691
3692 memcpy(sels, round_sels, 16);
3693 }
3694
3695 } // round
3696 }
3697
3698 if ((cur_err) && (flags & cEncodeBC1UseLikelyTotalOrderings))
3699 {
3700 assert(needs_block_error);
3701
3702 const uint32_t total_iters = (flags & cEncodeBC1Iterative) ? 2 : 1;
3703 for (uint32_t iter_index = 0; iter_index < total_iters; iter_index++)
3704 {
3705 const uint32_t orig_err = cur_err;
3706
3707 hist4 h;
3708 for (uint32_t i = 0; i < 16; i++)
3709 {
3710 assert(sels[i] < 4);
3711 h.m_hist[sels[i]]++;
3712 }
3713
3714 const uint32_t orig_total_order_index = h.lookup_total_ordering_index();
3715
3716 int r0, g0, b0, r3, g3, b3;
3717 r0 = (lr << 3) | (lr >> 2); g0 = (lg << 2) | (lg >> 4); b0 = (lb << 3) | (lb >> 2);
3718 r3 = (hr << 3) | (hr >> 2); g3 = (hg << 2) | (hg >> 4); b3 = (hb << 3) | (hb >> 2);
3719
3720 int ar = r3 - r0, ag = g3 - g0, ab = b3 - b0;
3721
3722 int dots[16];
3723 for (uint32_t i = 0; i < 16; i++)
3724 {
3725 int r = pSrc_pixels[i].r;
3726 int g = pSrc_pixels[i].g;
3727 int b = pSrc_pixels[i].b;
3728 int d = 0x1000000 + (r * ar + g * ag + b * ab);
3729 assert(d >= 0);
3730 dots[i] = (d << 4) + i;
3731 }
3732
3733 #ifdef RGBCX_NO_ALGORITHM
3734 qsort( dots, 16, sizeof(int), std_sort_int );
3735 #else
3736 std::sort(dots, dots + 16);
3737 #endif
3738
3739 uint32_t r_sum[17], g_sum[17], b_sum[17];
3740 uint32_t r = 0, g = 0, b = 0;
3741 for (uint32_t i = 0; i < 16; i++)
3742 {
3743 const uint32_t p = dots[i] & 15;
3744
3745 r_sum[i] = r;
3746 g_sum[i] = g;
3747 b_sum[i] = b;
3748
3749 r += pSrc_pixels[p].r;
3750 g += pSrc_pixels[p].g;
3751 b += pSrc_pixels[p].b;
3752 }
3753
3754 r_sum[16] = total_r;
3755 g_sum[16] = total_g;
3756 b_sum[16] = total_b;
3757
3758 const uint32_t q_total = (flags & cEncodeBC1Exhaustive) ? NUM_UNIQUE_TOTAL_ORDERINGS4 : clampi(total_orderings_to_try, MIN_TOTAL_ORDERINGS, MAX_TOTAL_ORDERINGS4);
3759 for (uint32_t q = 0; q < q_total; q++)
3760 {
3761 const uint32_t s = (flags & cEncodeBC1Exhaustive) ? q : g_best_total_orderings4[orig_total_order_index][q];
3762
3763 int trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb;
3764
3765 vec3F xl, xh;
3766
3767 if ((s == TOTAL_ORDER_4_0_16) || (s == TOTAL_ORDER_4_1_16) || (s == TOTAL_ORDER_4_2_16) || (s == TOTAL_ORDER_4_3_16))
3768 {
3769 trial_lr = g_bc1_match5_equals_1[avg_r].m_hi;
3770 trial_lg = g_bc1_match6_equals_1[avg_g].m_hi;
3771 trial_lb = g_bc1_match5_equals_1[avg_b].m_hi;
3772
3773 trial_hr = g_bc1_match5_equals_1[avg_r].m_lo;
3774 trial_hg = g_bc1_match6_equals_1[avg_g].m_lo;
3775 trial_hb = g_bc1_match5_equals_1[avg_b].m_lo;
3776 }
3777 else
3778 {
3779 compute_least_squares_endpoints4_rgb(&xl, &xh, total_r, total_g, total_b,
3780 g_selector_factors4[s][0], g_selector_factors4[s][1], g_selector_factors4[s][2], s, r_sum, g_sum, b_sum);
3781
3782 precise_round_565(xl, xh, trial_hr, trial_hg, trial_hb, trial_lr, trial_lg, trial_lb);
3783 }
3784
3785 uint8_t trial_sels[16];
3786
3787 uint32_t trial_err = bc1_find_sels4(flags, pSrc_pixels, trial_lr, trial_lg, trial_lb, trial_hr, trial_hg, trial_hb, trial_sels, cur_err);
3788
3789 if (trial_err < cur_err)
3790 {
3791 cur_err = trial_err;
3792
3793 lr = trial_lr;
3794 lg = trial_lg;
3795 lb = trial_lb;
3796
3797 hr = trial_hr;
3798 hg = trial_hg;
3799 hb = trial_hb;
3800
3801 memcpy(sels, trial_sels, 16);
3802 }
3803
3804 } // s
3805
3806 if ((!cur_err) || (cur_err == orig_err))
3807 break;
3808
3809 } // iter_index
3810 }
3811
3812 if ( ((flags & (cEncodeBC1Use3ColorBlocks | cEncodeBC1Use3ColorBlocksForBlackPixels)) != 0) && (cur_err) )
3813 {
3814 if (flags & cEncodeBC1Use3ColorBlocks)
3815 {
3816 assert(needs_block_error);
3817 try_3color_block(pSrc_pixels, flags, cur_err, avg_r, avg_g, avg_b, orig_lr, orig_lg, orig_lb, orig_hr, orig_hg, orig_hb, total_r, total_g, total_b, total_orderings_to_try3, results);
3818 }
3819
3820 if ((any_black_pixels) && ((flags & cEncodeBC1Use3ColorBlocksForBlackPixels) != 0))
3821 {
3822 assert(needs_block_error);
3823 try_3color_block_useblack(pSrc_pixels, flags, cur_err, results);
3824 }
3825 }
3826
3827 if ( (flags & cEncodeBC1EndpointSearchRoundsMask) && (cur_err) )
3828 {
3829 assert(needs_block_error);
3830
3831 encode_bc1_endpoint_search(pSrc_pixels, any_black_pixels != 0, flags, results, cur_err);
3832 }
3833
3834 if (results.m_3color)
3835 bc1_encode3(pDst_block, results.lr, results.lg, results.lb, results.hr, results.hg, results.hb, results.sels);
3836 else
3837 bc1_encode4(pDst_block, results.lr, results.lg, results.lb, results.hr, results.hg, results.hb, results.sels);
3838 }
3839
3840 // BC3-5
3841
3842 struct bc4_block
3843 {
3844 enum { cBC4SelectorBits = 3, cTotalSelectorBytes = 6, cMaxSelectorValues = 8 };
3845 uint8_t m_endpoints[2];
3846
3847 uint8_t m_selectors[cTotalSelectorBytes];
3848
3849 inline uint32_t get_low_alpha() const { return m_endpoints[0]; }
3850 inline uint32_t get_high_alpha() const { return m_endpoints[1]; }
3851 inline bool is_alpha6_block() const { return get_low_alpha() <= get_high_alpha(); }
3852
3853 inline uint64_t get_selector_bits() const
3854 {
3855 return ((uint64_t)((uint32_t)m_selectors[0] | ((uint32_t)m_selectors[1] << 8U) | ((uint32_t)m_selectors[2] << 16U) | ((uint32_t)m_selectors[3] << 24U))) |
3856 (((uint64_t)m_selectors[4]) << 32U) |
3857 (((uint64_t)m_selectors[5]) << 40U);
3858 }
3859
3860 inline uint32_t get_selector(uint32_t x, uint32_t y, uint64_t selector_bits) const
3861 {
3862 assert((x < 4U) && (y < 4U));
3863 return (selector_bits >> (((y * 4) + x) * cBC4SelectorBits))& (cMaxSelectorValues - 1);
3864 }
3865
3866 static inline uint32_t get_block_values6(uint8_t* pDst, uint32_t l, uint32_t h)
3867 {
3868 pDst[0] = static_cast<uint8_t>(l);
3869 pDst[1] = static_cast<uint8_t>(h);
3870 pDst[2] = static_cast<uint8_t>((l * 4 + h) / 5);
3871 pDst[3] = static_cast<uint8_t>((l * 3 + h * 2) / 5);
3872 pDst[4] = static_cast<uint8_t>((l * 2 + h * 3) / 5);
3873 pDst[5] = static_cast<uint8_t>((l + h * 4) / 5);
3874 pDst[6] = 0;
3875 pDst[7] = 255;
3876 return 6;
3877 }
3878
3879 static inline uint32_t get_block_values8(uint8_t* pDst, uint32_t l, uint32_t h)
3880 {
3881 pDst[0] = static_cast<uint8_t>(l);
3882 pDst[1] = static_cast<uint8_t>(h);
3883 pDst[2] = static_cast<uint8_t>((l * 6 + h) / 7);
3884 pDst[3] = static_cast<uint8_t>((l * 5 + h * 2) / 7);
3885 pDst[4] = static_cast<uint8_t>((l * 4 + h * 3) / 7);
3886 pDst[5] = static_cast<uint8_t>((l * 3 + h * 4) / 7);
3887 pDst[6] = static_cast<uint8_t>((l * 2 + h * 5) / 7);
3888 pDst[7] = static_cast<uint8_t>((l + h * 6) / 7);
3889 return 8;
3890 }
3891
3892 static inline uint32_t get_block_values(uint8_t* pDst, uint32_t l, uint32_t h)
3893 {
3894 if (l > h)
3895 return get_block_values8(pDst, l, h);
3896 else
3897 return get_block_values6(pDst, l, h);
3898 }
3899 };
3900
3901 void encode_bc4(void* pDst, const uint8_t* pPixels, uint32_t stride)
3902 {
3903 assert(g_initialized);
3904
3905 uint32_t min0_v, max0_v, min1_v, max1_v, min2_v, max2_v, min3_v, max3_v;
3906
3907 {
3908 min0_v = max0_v = pPixels[0 * stride];
3909 min1_v = max1_v = pPixels[1 * stride];
3910 min2_v = max2_v = pPixels[2 * stride];
3911 min3_v = max3_v = pPixels[3 * stride];
3912 }
3913
3914 {
3915 uint32_t v0 = pPixels[4 * stride]; min0_v = std::min(min0_v, v0); max0_v = std::max(max0_v, v0);
3916 uint32_t v1 = pPixels[5 * stride]; min1_v = std::min(min1_v, v1); max1_v = std::max(max1_v, v1);
3917 uint32_t v2 = pPixels[6 * stride]; min2_v = std::min(min2_v, v2); max2_v = std::max(max2_v, v2);
3918 uint32_t v3 = pPixels[7 * stride]; min3_v = std::min(min3_v, v3); max3_v = std::max(max3_v, v3);
3919 }
3920
3921 {
3922 uint32_t v0 = pPixels[8 * stride]; min0_v = std::min(min0_v, v0); max0_v = std::max(max0_v, v0);
3923 uint32_t v1 = pPixels[9 * stride]; min1_v = std::min(min1_v, v1); max1_v = std::max(max1_v, v1);
3924 uint32_t v2 = pPixels[10 * stride]; min2_v = std::min(min2_v, v2); max2_v = std::max(max2_v, v2);
3925 uint32_t v3 = pPixels[11 * stride]; min3_v = std::min(min3_v, v3); max3_v = std::max(max3_v, v3);
3926 }
3927
3928 {
3929 uint32_t v0 = pPixels[12 * stride]; min0_v = std::min(min0_v, v0); max0_v = std::max(max0_v, v0);
3930 uint32_t v1 = pPixels[13 * stride]; min1_v = std::min(min1_v, v1); max1_v = std::max(max1_v, v1);
3931 uint32_t v2 = pPixels[14 * stride]; min2_v = std::min(min2_v, v2); max2_v = std::max(max2_v, v2);
3932 uint32_t v3 = pPixels[15 * stride]; min3_v = std::min(min3_v, v3); max3_v = std::max(max3_v, v3);
3933 }
3934
3935 const uint32_t min_v = minimum(min0_v, min1_v, min2_v, min3_v);
3936 const uint32_t max_v = maximum(max0_v, max1_v, max2_v, max3_v);
3937
3938 uint8_t* pDst_bytes = static_cast<uint8_t*>(pDst);
3939 pDst_bytes[0] = (uint8_t)max_v;
3940 pDst_bytes[1] = (uint8_t)min_v;
3941
3942 if (max_v == min_v)
3943 {
3944 memset(pDst_bytes + 2, 0, 6);
3945 return;
3946 }
3947
3948 const uint32_t delta = max_v - min_v;
3949
3950 // min_v is now 0. Compute thresholds between values by scaling max_v. It's x14 because we're adding two x7 scale factors.
3951 const int t0 = delta * 13;
3952 const int t1 = delta * 11;
3953 const int t2 = delta * 9;
3954 const int t3 = delta * 7;
3955 const int t4 = delta * 5;
3956 const int t5 = delta * 3;
3957 const int t6 = delta * 1;
3958
3959 // BC4 floors in its divisions, which we compensate for with the 4 bias.
3960 // This function is optimal for all possible inputs (i.e. it outputs the same results as checking all 8 values and choosing the closest one).
3961 const int bias = 4 - min_v * 14;
3962
3963 static const uint32_t s_tran0[8] = { 1U , 7U , 6U , 5U , 4U , 3U , 2U , 0U };
3964 static const uint32_t s_tran1[8] = { 1U << 3U, 7U << 3U, 6U << 3U, 5U << 3U, 4U << 3U, 3U << 3U, 2U << 3U, 0U << 3U };
3965 static const uint32_t s_tran2[8] = { 1U << 6U, 7U << 6U, 6U << 6U, 5U << 6U, 4U << 6U, 3U << 6U, 2U << 6U, 0U << 6U };
3966 static const uint32_t s_tran3[8] = { 1U << 9U, 7U << 9U, 6U << 9U, 5U << 9U, 4U << 9U, 3U << 9U, 2U << 9U, 0U << 9U };
3967
3968 uint64_t a0, a1, a2, a3;
3969 {
3970 const int v0 = pPixels[0 * stride] * 14 + bias;
3971 const int v1 = pPixels[1 * stride] * 14 + bias;
3972 const int v2 = pPixels[2 * stride] * 14 + bias;
3973 const int v3 = pPixels[3 * stride] * 14 + bias;
3974 a0 = s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)];
3975 a1 = s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)];
3976 a2 = s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)];
3977 a3 = s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)];
3978 }
3979
3980 {
3981 const int v0 = pPixels[4 * stride] * 14 + bias;
3982 const int v1 = pPixels[5 * stride] * 14 + bias;
3983 const int v2 = pPixels[6 * stride] * 14 + bias;
3984 const int v3 = pPixels[7 * stride] * 14 + bias;
3985 a0 |= (uint64_t)(s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)] << 12U);
3986 a1 |= (uint64_t)(s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)] << 12U);
3987 a2 |= (uint64_t)(s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)] << 12U);
3988 a3 |= (uint64_t)(s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)] << 12U);
3989 }
3990
3991 {
3992 const int v0 = pPixels[8 * stride] * 14 + bias;
3993 const int v1 = pPixels[9 * stride] * 14 + bias;
3994 const int v2 = pPixels[10 * stride] * 14 + bias;
3995 const int v3 = pPixels[11 * stride] * 14 + bias;
3996 a0 |= (((uint64_t)s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)]) << 24U);
3997 a1 |= (((uint64_t)s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)]) << 24U);
3998 a2 |= (((uint64_t)s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)]) << 24U);
3999 a3 |= (((uint64_t)s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)]) << 24U);
4000 }
4001
4002 {
4003 const int v0 = pPixels[12 * stride] * 14 + bias;
4004 const int v1 = pPixels[13 * stride] * 14 + bias;
4005 const int v2 = pPixels[14 * stride] * 14 + bias;
4006 const int v3 = pPixels[15 * stride] * 14 + bias;
4007 a0 |= (((uint64_t)s_tran0[(v0 >= t0) + (v0 >= t1) + (v0 >= t2) + (v0 >= t3) + (v0 >= t4) + (v0 >= t5) + (v0 >= t6)]) << 36U);
4008 a1 |= (((uint64_t)s_tran1[(v1 >= t0) + (v1 >= t1) + (v1 >= t2) + (v1 >= t3) + (v1 >= t4) + (v1 >= t5) + (v1 >= t6)]) << 36U);
4009 a2 |= (((uint64_t)s_tran2[(v2 >= t0) + (v2 >= t1) + (v2 >= t2) + (v2 >= t3) + (v2 >= t4) + (v2 >= t5) + (v2 >= t6)]) << 36U);
4010 a3 |= (((uint64_t)s_tran3[(v3 >= t0) + (v3 >= t1) + (v3 >= t2) + (v3 >= t3) + (v3 >= t4) + (v3 >= t5) + (v3 >= t6)]) << 36U);
4011 }
4012
4013 const uint64_t f = a0 | a1 | a2 | a3;
4014
4015 pDst_bytes[2] = (uint8_t)f;
4016 pDst_bytes[3] = (uint8_t)(f >> 8U);
4017 pDst_bytes[4] = (uint8_t)(f >> 16U);
4018 pDst_bytes[5] = (uint8_t)(f >> 24U);
4019 pDst_bytes[6] = (uint8_t)(f >> 32U);
4020 pDst_bytes[7] = (uint8_t)(f >> 40U);
4021 }
4022
4023 void encode_bc3(void* pDst, const uint8_t* pPixels, uint32_t flags, uint32_t total_orderings_to_try)
4024 {
4025 assert(g_initialized);
4026
4027 // 3-color blocks are not allowed with BC3 (on most GPU's).
4028 flags &= ~(cEncodeBC1Use3ColorBlocksForBlackPixels | cEncodeBC1Use3ColorBlocks);
4029
4030 encode_bc4(pDst, pPixels + 3, 4);
4031 encode_bc1(static_cast<uint8_t*>(pDst) + 8, pPixels, flags, total_orderings_to_try);
4032 }
4033
4034 void encode_bc3(uint32_t level, void* pDst, const uint8_t* pPixels)
4035 {
4036 assert(g_initialized);
4037
4038 encode_bc4(pDst, pPixels + 3, 4);
4039 encode_bc1(level, static_cast<uint8_t*>(pDst) + 8, pPixels, false, false);
4040 }
4041
4042 void encode_bc5(void* pDst, const uint8_t* pPixels, uint32_t chan0, uint32_t chan1, uint32_t stride)
4043 {
4044 assert(g_initialized);
4045
4046 encode_bc4(pDst, pPixels + chan0, stride);
4047 encode_bc4(static_cast<uint8_t*>(pDst) + 8, pPixels + chan1, stride);
4048 }
4049
4050 // Returns true if the block uses 3 color punchthrough alpha mode.
4051 bool unpack_bc1(const void* pBlock_bits, void* pPixels, bool set_alpha, bc1_approx_mode mode)
4052 {
4053 color32* pDst_pixels = static_cast<color32*>(pPixels);
4054
4055 static_assert(sizeof(bc1_block) == 8, "sizeof(bc1_block) == 8");
4056 static_assert(sizeof(bc4_block) == 8, "sizeof(bc4_block) == 8");
4057
4058 const bc1_block* pBlock = static_cast<const bc1_block*>(pBlock_bits);
4059
4060 const uint32_t l = pBlock->get_low_color();
4061 const uint32_t h = pBlock->get_high_color();
4062
4063 color32 c[4];
4064
4065 const int cr0 = (l >> 11) & 31;
4066 const int cg0 = (l >> 5) & 63;
4067 const int cb0 = l & 31;
4068 const int r0 = (cr0 << 3) | (cr0 >> 2);
4069 const int g0 = (cg0 << 2) | (cg0 >> 4);
4070 const int b0 = (cb0 << 3) | (cb0 >> 2);
4071
4072 const int cr1 = (h >> 11) & 31;
4073 const int cg1 = (h >> 5) & 63;
4074 const int cb1 = h & 31;
4075 const int r1 = (cr1 << 3) | (cr1 >> 2);
4076 const int g1 = (cg1 << 2) | (cg1 >> 4);
4077 const int b1 = (cb1 << 3) | (cb1 >> 2);
4078
4079 bool used_punchthrough = false;
4080
4081 if (l > h)
4082 {
4083 c[0].set_noclamp_rgba(r0, g0, b0, 255);
4084 c[1].set_noclamp_rgba(r1, g1, b1, 255);
4085 switch (mode)
4086 {
4087 case bc1_approx_mode::cBC1Ideal:
4088 c[2].set_noclamp_rgba((r0 * 2 + r1) / 3, (g0 * 2 + g1) / 3, (b0 * 2 + b1) / 3, 255);
4089 c[3].set_noclamp_rgba((r1 * 2 + r0) / 3, (g1 * 2 + g0) / 3, (b1 * 2 + b0) / 3, 255);
4090 break;
4091 case bc1_approx_mode::cBC1IdealRound4:
4092 c[2].set_noclamp_rgba((r0 * 2 + r1 + 1) / 3, (g0 * 2 + g1 + 1) / 3, (b0 * 2 + b1 + 1) / 3, 255);
4093 c[3].set_noclamp_rgba((r1 * 2 + r0 + 1) / 3, (g1 * 2 + g0 + 1) / 3, (b1 * 2 + b0 + 1) / 3, 255);
4094 break;
4095 case bc1_approx_mode::cBC1NVidia:
4096 c[2].set_noclamp_rgba(interp_5_nv(cr0, cr1), interp_6_nv(g0, g1), interp_5_nv(cb0, cb1), 255);
4097 c[3].set_noclamp_rgba(interp_5_nv(cr1, cr0), interp_6_nv(g1, g0), interp_5_nv(cb1, cb0), 255);
4098 break;
4099 case bc1_approx_mode::cBC1AMD:
4100 c[2].set_noclamp_rgba(interp_5_6_amd(r0, r1), interp_5_6_amd(g0, g1), interp_5_6_amd(b0, b1), 255);
4101 c[3].set_noclamp_rgba(interp_5_6_amd(r1, r0), interp_5_6_amd(g1, g0), interp_5_6_amd(b1, b0), 255);
4102 break;
4103 }
4104 }
4105 else
4106 {
4107 c[0].set_noclamp_rgba(r0, g0, b0, 255);
4108 c[1].set_noclamp_rgba(r1, g1, b1, 255);
4109 switch (mode)
4110 {
4111 case bc1_approx_mode::cBC1Ideal:
4112 case bc1_approx_mode::cBC1IdealRound4:
4113 c[2].set_noclamp_rgba((r0 + r1) / 2, (g0 + g1) / 2, (b0 + b1) / 2, 255);
4114 break;
4115 case bc1_approx_mode::cBC1NVidia:
4116 c[2].set_noclamp_rgba(interp_half_5_nv(cr0, cr1), interp_half_6_nv(g0, g1), interp_half_5_nv(cb0, cb1), 255);
4117 break;
4118 case bc1_approx_mode::cBC1AMD:
4119 c[2].set_noclamp_rgba(interp_half_5_6_amd(r0, r1), interp_half_5_6_amd(g0, g1), interp_half_5_6_amd(b0, b1), 255);
4120 break;
4121 }
4122
4123 c[3].set_noclamp_rgba(0, 0, 0, 0);
4124 used_punchthrough = true;
4125 }
4126
4127 if (set_alpha)
4128 {
4129 for (uint32_t y = 0; y < 4; y++, pDst_pixels += 4)
4130 {
4131 pDst_pixels[0] = c[pBlock->get_selector(0, y)];
4132 pDst_pixels[1] = c[pBlock->get_selector(1, y)];
4133 pDst_pixels[2] = c[pBlock->get_selector(2, y)];
4134 pDst_pixels[3] = c[pBlock->get_selector(3, y)];
4135 }
4136 }
4137 else
4138 {
4139 for (uint32_t y = 0; y < 4; y++, pDst_pixels += 4)
4140 {
4141 pDst_pixels[0].set_rgb(c[pBlock->get_selector(0, y)]);
4142 pDst_pixels[1].set_rgb(c[pBlock->get_selector(1, y)]);
4143 pDst_pixels[2].set_rgb(c[pBlock->get_selector(2, y)]);
4144 pDst_pixels[3].set_rgb(c[pBlock->get_selector(3, y)]);
4145 }
4146 }
4147
4148 return used_punchthrough;
4149 }
4150
4151 void unpack_bc4(const void* pBlock_bits, uint8_t* pPixels, uint32_t stride)
4152 {
4153 static_assert(sizeof(bc4_block) == 8, "sizeof(bc4_block) == 8");
4154
4155 const bc4_block* pBlock = static_cast<const bc4_block*>(pBlock_bits);
4156
4157 uint8_t sel_values[8];
4158 bc4_block::get_block_values(sel_values, pBlock->get_low_alpha(), pBlock->get_high_alpha());
4159
4160 const uint64_t selector_bits = pBlock->get_selector_bits();
4161
4162 for (uint32_t y = 0; y < 4; y++, pPixels += (stride * 4U))
4163 {
4164 pPixels[0] = sel_values[pBlock->get_selector(0, y, selector_bits)];
4165 pPixels[stride * 1] = sel_values[pBlock->get_selector(1, y, selector_bits)];
4166 pPixels[stride * 2] = sel_values[pBlock->get_selector(2, y, selector_bits)];
4167 pPixels[stride * 3] = sel_values[pBlock->get_selector(3, y, selector_bits)];
4168 }
4169 }
4170
4171 // Returns false if the block uses 3-color punchthrough alpha mode, which isn't supported on some GPU's for BC3.
4172 bool unpack_bc3(const void* pBlock_bits, void* pPixels, bc1_approx_mode mode)
4173 {
4174 color32* pDst_pixels = static_cast<color32*>(pPixels);
4175
4176 bool success = true;
4177
4178 if (unpack_bc1((const uint8_t*)pBlock_bits + sizeof(bc4_block), pDst_pixels, true, mode))
4179 success = false;
4180
4181 unpack_bc4(pBlock_bits, &pDst_pixels[0].a, sizeof(color32));
4182
4183 return success;
4184 }
4185
4186 // writes RG
4187 void unpack_bc5(const void* pBlock_bits, void* pPixels, uint32_t chan0, uint32_t chan1, uint32_t stride)
4188 {
4189 unpack_bc4(pBlock_bits, (uint8_t *)pPixels + chan0, stride);
4190 unpack_bc4((const uint8_t*)pBlock_bits + sizeof(bc4_block), (uint8_t *)pPixels + chan1, stride);
4191 }
4192
4193 } // namespace rgbcx
4194
4195 #endif //#ifdef RGBCX_IMPLEMENTATION
4196
4197 /*
4198 ------------------------------------------------------------------------------
4199 This software is available under 2 licenses -- choose whichever you prefer.
4200 ------------------------------------------------------------------------------
4201 ALTERNATIVE A - MIT License
4202 Copyright(c) 2020 Richard Geldreich, Jr.
4203 Permission is hereby granted, free of charge, to any person obtaining a copy of
4204 this software and associated documentation files(the "Software"), to deal in
4205 the Software without restriction, including without limitation the rights to
4206 use, copy, modify, merge, publish, distribute, sublicense, and / or sell copies
4207 of the Software, and to permit persons to whom the Software is furnished to do
4208 so, subject to the following conditions :
4209 The above copyright notice and this permission notice shall be included in all
4210 copies or substantial portions of the Software.
4211 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
4212 IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
4213 FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
4214 AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
4215 LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
4216 OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
4217 SOFTWARE.
4218 ------------------------------------------------------------------------------
4219 ALTERNATIVE B - Public Domain(www.unlicense.org)
4220 This is free and unencumbered software released into the public domain.
4221 Anyone is free to copy, modify, publish, use, compile, sell, or distribute this
4222 software, either in source code form or as a compiled binary, for any purpose,
4223 commercial or non - commercial, and by any means.
4224 In jurisdictions that recognize copyright laws, the author or authors of this
4225 software dedicate any and all copyright interest in the software to the public
4226 domain.We make this dedication for the benefit of the public at large and to
4227 the detriment of our heirs and successors.We intend this dedication to be an
4228 overt act of relinquishment in perpetuity of all present and future rights to
4229 this software under copyright law.
4230 THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
4231 IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
4232 FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT.IN NO EVENT SHALL THE
4233 AUTHORS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
4234 ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION
4235 WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE.
4236 ------------------------------------------------------------------------------
4237 */
4238