1 /**
2    Whirlpool hashing algorithm implementation. This module conforms to the APIs defined in std.digest.
3 
4    Based on the original Whirlpool implementation by Paulo S.L.M. Barreto and Vincent Rijmen.
5 */
6 module nxt.digestx.whirlpool;
7 
8 public import std.digest;
9 import std.range;
10 
11 /**
12  * Template API Whirlpool implementation.
13  */
14 struct Whirlpool
15 {
16     /// Initializes the digest calculation.
17     void start() @safe pure nothrow @nogc
18     {
19         _lenBuf = 0;
20         _bufferPos = 0;
21         _hash[] = 0;
22         _tailBlock = false;
23         _bitLength[] = 0;
24     }
25 
26     /// Feed the digest with data.
27     void put(scope const(ubyte)[] data...) @trusted pure nothrow @nogc
28     {
29         bufLength(data.length);
30 
31         while (true)
32         {
33             immutable cap = _buffer.length - _bufferPos;
34             if (cap <= data.length)
35             {
36                 _buffer[_bufferPos .. $] = data[0 .. cap];
37                 processBuffer();
38                 _bufferPos = 0;
39 
40                 data = data[cap .. $];
41             }
42             else
43             {
44                 _buffer[_bufferPos .. _bufferPos + data.length] = data;
45                 _bufferPos += data.length;
46 
47                 data = null;
48                 break;
49             }
50         }
51     }
52 
53     void put(R)(R r) if (isInputRange!R && hasLength!R)
54     {
55         bufLength(r.length);
56 
57         foreach (immutable i; r)
58         {
59             _buffer[_bufferPos] = i;
60             _bufferPos++;
61             if (_bufferPos == _buffer.length)
62             {
63                 processBuffer();
64                 _bufferPos = 0;
65             }
66         }
67     }
68 
69     /// Returns the Whirlpool hash. This also calls start to reset the internal state.
70     ubyte[64] finish() @trusted pure nothrow @nogc
71     {
72         // append a '1'-bit
73         // As the buffer is byte-wise in this implementation, _buffer[_bufferPos] is not used yet.
74         _buffer[_bufferPos] = 0x80;
75         _bufferPos++;
76 
77         if (_bufferPos > 32)
78         {
79             _buffer[_bufferPos .. $] = 0;
80             processBuffer();
81             _bufferPos = 0;
82         }
83 
84         if (_bufferPos < 32)
85             _buffer[_bufferPos .. 32] = 0;
86         if (_lenBuf != 0)
87             addLength(_lenBuf);
88         _buffer[32 .. $] = _bitLength;
89         processBuffer();
90 
91         ubyte[64] digest = void;
92 
93         for (int i = 0, j = 0; i < 8; i++, j += 8)
94         {
95             immutable h = _hash[i];
96             digest[j] = cast(ubyte)(h >> 56);
97             digest[j + 1] = cast(ubyte)(h >> 48);
98             digest[j + 2] = cast(ubyte)(h >> 40);
99             digest[j + 3] = cast(ubyte)(h >> 32);
100             digest[j + 4] = cast(ubyte)(h >> 24);
101             digest[j + 5] = cast(ubyte)(h >> 16);
102             digest[j + 6] = cast(ubyte)(h >> 8);
103             digest[j + 7] = cast(ubyte) h;
104         }
105 
106         start();
107 
108         return digest;
109     }
110 
111 private:
112 
113     // buffers sum of data length and add into _bitLength when necessary,
114     // to reduce bignum operation.
115     ulong _lenBuf = void;
116 
117     void bufLength(ulong bytes) @safe pure nothrow @nogc
118     {
119         ulong sum = _lenBuf + bytes;
120         if (sum < _lenBuf || sum < bytes)
121         {
122             addLength(_lenBuf);
123             _lenBuf = bytes;
124         }
125         else
126         {
127             _lenBuf = sum;
128         }
129     }
130 
131     ubyte[32] _bitLength = void;
132 
133     void addLength(ulong bytes) @trusted pure nothrow @nogc
134     {
135         uint carry = _bitLength[31] + ((bytes << 3) & 0xFF);
136         _bitLength[31] = cast(ubyte) carry;
137         carry >>= 8;
138         bytes >>= 5;
139         for (int i = 30; i >= 0; i--)
140         {
141             carry += _bitLength[i] + (bytes & 0xFF);
142             _bitLength[i] = cast(ubyte) carry;
143             carry >>= 8;
144             bytes >>= 8;
145         }
146     }
147 
148     ubyte[64] _buffer = void;
149     size_t _bufferPos = void;
150 
151     ulong[8] _hash = void;
152 
153     bool _tailBlock;
154 
155     void processBuffer() @trusted pure nothrow @nogc
156     {
157         ulong[8] block = void;
158 
159         // map the buffer to a block
160         for (int i = 0, j = 0; i < 8; i++, j += 8)
161         {
162             block[i] = (cast(ulong) _buffer[j] << 56) ^ (cast(ulong) _buffer[j + 1] << 48) ^ (
163                 cast(ulong) _buffer[j + 2] << 40) ^ (cast(ulong) _buffer[j + 3] << 32) ^ (
164                     cast(ulong) _buffer[j + 4] << 24) ^ (cast(ulong) _buffer[j + 5] << 16) ^ (
165                         cast(ulong) _buffer[j + 6] << 8) ^ (cast(ulong) _buffer[j + 7]);
166         }
167 
168         // compute and apply K^0 to the cipher state
169         ulong[8] state = void;
170         state[] = block[] ^ _hash[];
171 
172         // iterate over all rounds
173         if (_tailBlock) // not the first block
174         {
175             ulong[8] K = _hash;
176 
177             foreach (immutable rcr; rc)
178             {
179                 ulong[8] L = void;
180 
181                 // compute K^r from K^{r-1}
182                 mixin(genTransform("L", "K"));
183                 L[0] ^= rcr;
184 
185                 K = L;
186 
187                 // apply the r-th round transformation
188                 mixin(genTransform("L", "state"));
189 
190                 state[] = L[] ^ K[];
191             }
192         }
193         else // use precompiled K[] for first block
194         {
195             foreach (immutable k; pcK)
196             {
197                 ulong[8] L = void;
198                 mixin(genTransform("L", "state"));
199                 state[] = L[] ^ k[];
200             }
201 
202             _tailBlock = true;
203         }
204 
205         // apply the Miyaguchi-Preneel compression function:
206         _hash[] ^= state[] ^ block[];
207     }
208 }
209 
210 /// Convenience alias for digest function in std.digest using the Whirlpool implementation.
211 auto whirlpoolOf(T...)(T data)
212 {
213     return digest!(Whirlpool, T)(data);
214 }
215 
216 /// OOP API for Whirlpool
217 alias WhirlpoolDigest = WrapperDigest!Whirlpool;
218 
219 ///
220 unittest
221 {
222     import nxt.digestx.whirlpool;
223 
224     ubyte[1024] data;
225     Whirlpool wp;
226     wp.start();
227     wp.put(data[]);
228     wp.start();
229     wp.put(data[]);
230     ubyte[64] hash = wp.finish();
231 
232     // Template API
233 
234     ubyte[64] hash2 = whirlpoolOf("abc");
235     assert(digest!Whirlpool("abc") == hash2);
236     assert(hexDigest!Whirlpool("abc") == toHexString(hash2));
237 
238     // OOP API
239 
240     Digest wpDigest = new WhirlpoolDigest;
241     ubyte[] hash3 = wpDigest.digest("abc");
242     assert(toHexString(hash3) == "4E2448A4C6F486BB16B6562C73B4020BF3043E3A731BCE721AE1B303D97E6D4C"
243            ~ "7181EEBDB6C57E277D0E34957114CBD6C797FC9D95D8B582D225292076D4EEF5");
244 }
245 
246 @safe pure nothrow /*@nogc*/ unittest
247 {
248     static assert(isDigest!Whirlpool);
249 
250     assert(digest!Whirlpool("The quick brown fox jumps over the lazy dog")
251            == hexString!"B97DE512E91E3828B40D2B0FDCE9CEB3C4A71F9BEA8D88E75C4FA854DF36725F"
252            ~ hexString!"D2B52EB6544EDCACD6F8BEDDFEA403CB55AE31F03AD62A5EF54E42EE82C3FB35");
253 
254     // ISO test vectors
255 
256     assert(digest!Whirlpool("") == hexString!"19FA61D75522A4669B44E39C1D2E1726C530232130D407F89AFEE0964997F7A7"
257            ~ hexString!"3E83BE698B288FEBCF88E3E03C4F0757EA8964E59B63D93708B138CC42A66EB3");
258 
259     assert(digest!Whirlpool("a") == hexString!"8ACA2602792AEC6F11A67206531FB7D7F0DFF59413145E6973C45001D0087B42"
260            ~ hexString!"D11BC645413AEFF63A42391A39145A591A92200D560195E53B478584FDAE231A");
261 
262     assert(digest!Whirlpool("abc") == hexString!"4E2448A4C6F486BB16B6562C73B4020BF3043E3A731BCE721AE1B303D97E6D4C"
263            ~ hexString!"7181EEBDB6C57E277D0E34957114CBD6C797FC9D95D8B582D225292076D4EEF5");
264 
265     assert(digest!Whirlpool("message digest") == hexString!"378C84A4126E2DC6E56DCC7458377AAC838D00032230F53CE1F5700C0FFB4D3B"
266            ~ hexString!"8421557659EF55C106B4B52AC5A4AAA692ED920052838F3362E86DBD37A8903E");
267 
268     assert(digest!Whirlpool("abcdefghijklmnopqrstuvwxyz")
269            == hexString!"F1D754662636FFE92C82EBB9212A484A8D38631EAD4238F5442EE13B8054E41B"
270            ~ hexString!"08BF2A9251C30B6A0B8AAE86177AB4A6F68F673E7207865D5D9819A3DBA4EB3B");
271 
272     assert(digest!Whirlpool("ABCDEFGHIJKLMNOPQRSTUVWXYZabcdefghijklmnopqrstuvwxyz0123456789")
273            == hexString!"DC37E008CF9EE69BF11F00ED9ABA26901DD7C28CDEC066CC6AF42E40F82F3A1E"
274            ~ hexString!"08EBA26629129D8FB7CB57211B9281A65517CC879D7B962142C65F5A7AF01467");
275 
276     assert(digest!Whirlpool("1234567890123456789012345678901234567890" ~ "1234567890123456789012345678901234567890")
277            == hexString!"466EF18BABB0154D25B9D38A6414F5C08784372BCCB204D6549C4AFADB601429"
278            ~ hexString!"4D5BD8DF2A6C44E538CD047B2681A51A2C60481E88C5A20B2C2A80CF3A9A083B");
279 
280     assert(digest!Whirlpool("abcdbcdecdefdefgefghfghighijhijk")
281            == hexString!"2A987EA40F917061F5D6F0A0E4644F488A7A5A52DEEE656207C562F988E95C69"
282            ~ hexString!"16BDC8031BC5BE1B7B947639FE050B56939BAAA0ADFF9AE6745B7B181C3BE3FD");
283 }
284 
285 pure nothrow /*@nogc*/ unittest
286 {
287     import std.range : repeat;
288 
289     assert(digest!Whirlpool(repeat('a',
290                                    10 ^^ 6)) == hexString!"0C99005BEB57EFF50A7CF005560DDF5D29057FD86B20BFD62DECA0F1CCEA4AF5"
291            ~ hexString!"1FC15490EDDC47AF32BB2B66C34FF9AD8C6008AD677F77126953B226E4ED8B01");
292 }
293 
294 @trusted pure nothrow /*@nogc*/ unittest
295 {
296     Whirlpool wp;
297     wp.put(cast(ubyte[])("abc"));
298     wp.start();
299     wp.put(cast(ubyte[])("abc"));
300     assert(wp.finish() == hexString!"4E2448A4C6F486BB16B6562C73B4020BF3043E3A731BCE721AE1B303D97E6D4C"
301            ~ hexString!"7181EEBDB6C57E277D0E34957114CBD6C797FC9D95D8B582D225292076D4EEF5");
302 }
303 
304 private:
305 
306 string genTransform(string assignTo, string from)
307 {
308     import std.string : format;
309 
310     string ret;
311     foreach (i; 0 .. 8)
312     {
313         ret ~= format("%s[%s]=", assignTo, i);
314         for (int t = 0, s = 56; t < 8; t++, s -= 8)
315         {
316             ret ~= format("C[%s][(%s[%s] >> %s) & 0xFF]", t, from, (i - t) & 7, s);
317             if (t != 7)
318                 ret ~= "^";
319         }
320         ret ~= ";\n";
321     }
322     return ret;
323 }
324 
325 // number of rounds
326 enum int numRounds = 10;
327 
328 // circulant table
329 immutable ulong[256][8] C = [
330     [
331         0x18186018c07830d8UL, 0x23238c2305af4626UL, 0xc6c63fc67ef991b8UL,
332         0xe8e887e8136fcdfbUL, 0x878726874ca113cbUL, 0xb8b8dab8a9626d11UL,
333         0x0101040108050209UL, 0x4f4f214f426e9e0dUL, 0x3636d836adee6c9bUL,
334         0xa6a6a2a6590451ffUL,
335         0xd2d26fd2debdb90cUL, 0xf5f5f3f5fb06f70eUL, 0x7979f979ef80f296UL,
336         0x6f6fa16f5fcede30UL, 0x91917e91fcef3f6dUL, 0x52525552aa07a4f8UL,
337         0x60609d6027fdc047UL, 0xbcbccabc89766535UL, 0x9b9b569baccd2b37UL,
338         0x8e8e028e048c018aUL, 0xa3a3b6a371155bd2UL, 0x0c0c300c603c186cUL,
339         0x7b7bf17bff8af684UL,
340         0x3535d435b5e16a80UL,
341         0x1d1d741de8693af5UL, 0xe0e0a7e05347ddb3UL, 0xd7d77bd7f6acb321UL,
342         0xc2c22fc25eed999cUL, 0x2e2eb82e6d965c43UL, 0x4b4b314b627a9629UL,
343         0xfefedffea321e15dUL, 0x575741578216aed5UL, 0x15155415a8412abdUL,
344         0x7777c1779fb6eee8UL, 0x3737dc37a5eb6e92UL, 0xe5e5b3e57b56d79eUL,
345         0x9f9f469f8cd92313UL,
346         0xf0f0e7f0d317fd23UL,
347         0x4a4a354a6a7f9420UL, 0xdada4fda9e95a944UL, 0x58587d58fa25b0a2UL,
348         0xc9c903c906ca8fcfUL, 0x2929a429558d527cUL, 0x0a0a280a5022145aUL,
349         0xb1b1feb1e14f7f50UL, 0xa0a0baa0691a5dc9UL, 0x6b6bb16b7fdad614UL,
350         0x85852e855cab17d9UL, 0xbdbdcebd8173673cUL, 0x5d5d695dd234ba8fUL,
351         0x1010401080502090UL,
352         0xf4f4f7f4f303f507UL,
353         0xcbcb0bcb16c08bddUL, 0x3e3ef83eedc67cd3UL, 0x0505140528110a2dUL,
354         0x676781671fe6ce78UL, 0xe4e4b7e47353d597UL, 0x27279c2725bb4e02UL,
355         0x4141194132588273UL, 0x8b8b168b2c9d0ba7UL, 0xa7a7a6a7510153f6UL,
356         0x7d7de97dcf94fab2UL, 0x95956e95dcfb3749UL, 0xd8d847d88e9fad56UL,
357         0xfbfbcbfb8b30eb70UL,
358         0xeeee9fee2371c1cdUL,
359         0x7c7ced7cc791f8bbUL, 0x6666856617e3cc71UL, 0xdddd53dda68ea77bUL,
360         0x17175c17b84b2eafUL, 0x4747014702468e45UL, 0x9e9e429e84dc211aUL,
361         0xcaca0fca1ec589d4UL, 0x2d2db42d75995a58UL, 0xbfbfc6bf9179632eUL,
362         0x07071c07381b0e3fUL, 0xadad8ead012347acUL, 0x5a5a755aea2fb4b0UL,
363         0x838336836cb51befUL,
364         0x3333cc3385ff66b6UL,
365         0x636391633ff2c65cUL, 0x02020802100a0412UL, 0xaaaa92aa39384993UL,
366         0x7171d971afa8e2deUL, 0xc8c807c80ecf8dc6UL, 0x19196419c87d32d1UL,
367         0x494939497270923bUL, 0xd9d943d9869aaf5fUL, 0xf2f2eff2c31df931UL,
368         0xe3e3abe34b48dba8UL, 0x5b5b715be22ab6b9UL, 0x88881a8834920dbcUL,
369         0x9a9a529aa4c8293eUL,
370         0x262698262dbe4c0bUL,
371         0x3232c8328dfa64bfUL, 0xb0b0fab0e94a7d59UL, 0xe9e983e91b6acff2UL,
372         0x0f0f3c0f78331e77UL, 0xd5d573d5e6a6b733UL, 0x80803a8074ba1df4UL,
373         0xbebec2be997c6127UL, 0xcdcd13cd26de87ebUL, 0x3434d034bde46889UL,
374         0x48483d487a759032UL, 0xffffdbffab24e354UL, 0x7a7af57af78ff48dUL,
375         0x90907a90f4ea3d64UL,
376         0x5f5f615fc23ebe9dUL,
377         0x202080201da0403dUL, 0x6868bd6867d5d00fUL, 0x1a1a681ad07234caUL,
378         0xaeae82ae192c41b7UL, 0xb4b4eab4c95e757dUL, 0x54544d549a19a8ceUL,
379         0x93937693ece53b7fUL, 0x222288220daa442fUL, 0x64648d6407e9c863UL,
380         0xf1f1e3f1db12ff2aUL, 0x7373d173bfa2e6ccUL, 0x12124812905a2482UL,
381         0x40401d403a5d807aUL,
382         0x0808200840281048UL,
383         0xc3c32bc356e89b95UL, 0xecec97ec337bc5dfUL, 0xdbdb4bdb9690ab4dUL,
384         0xa1a1bea1611f5fc0UL, 0x8d8d0e8d1c830791UL, 0x3d3df43df5c97ac8UL,
385         0x97976697ccf1335bUL, 0x0000000000000000UL, 0xcfcf1bcf36d483f9UL,
386         0x2b2bac2b4587566eUL, 0x7676c57697b3ece1UL, 0x8282328264b019e6UL,
387         0xd6d67fd6fea9b128UL,
388         0x1b1b6c1bd87736c3UL,
389         0xb5b5eeb5c15b7774UL, 0xafaf86af112943beUL, 0x6a6ab56a77dfd41dUL,
390         0x50505d50ba0da0eaUL, 0x45450945124c8a57UL, 0xf3f3ebf3cb18fb38UL,
391         0x3030c0309df060adUL, 0xefef9bef2b74c3c4UL, 0x3f3ffc3fe5c37edaUL,
392         0x55554955921caac7UL, 0xa2a2b2a2791059dbUL, 0xeaea8fea0365c9e9UL,
393         0x656589650fecca6aUL,
394         0xbabad2bab9686903UL,
395         0x2f2fbc2f65935e4aUL, 0xc0c027c04ee79d8eUL, 0xdede5fdebe81a160UL,
396         0x1c1c701ce06c38fcUL, 0xfdfdd3fdbb2ee746UL, 0x4d4d294d52649a1fUL,
397         0x92927292e4e03976UL, 0x7575c9758fbceafaUL, 0x06061806301e0c36UL,
398         0x8a8a128a249809aeUL, 0xb2b2f2b2f940794bUL, 0xe6e6bfe66359d185UL,
399         0x0e0e380e70361c7eUL,
400         0x1f1f7c1ff8633ee7UL,
401         0x6262956237f7c455UL, 0xd4d477d4eea3b53aUL, 0xa8a89aa829324d81UL,
402         0x96966296c4f43152UL, 0xf9f9c3f99b3aef62UL, 0xc5c533c566f697a3UL,
403         0x2525942535b14a10UL, 0x59597959f220b2abUL, 0x84842a8454ae15d0UL,
404         0x7272d572b7a7e4c5UL, 0x3939e439d5dd72ecUL, 0x4c4c2d4c5a619816UL,
405         0x5e5e655eca3bbc94UL,
406         0x7878fd78e785f09fUL,
407         0x3838e038ddd870e5UL, 0x8c8c0a8c14860598UL, 0xd1d163d1c6b2bf17UL,
408         0xa5a5aea5410b57e4UL, 0xe2e2afe2434dd9a1UL, 0x616199612ff8c24eUL,
409         0xb3b3f6b3f1457b42UL, 0x2121842115a54234UL, 0x9c9c4a9c94d62508UL,
410         0x1e1e781ef0663ceeUL, 0x4343114322528661UL, 0xc7c73bc776fc93b1UL,
411         0xfcfcd7fcb32be54fUL,
412         0x0404100420140824UL,
413         0x51515951b208a2e3UL, 0x99995e99bcc72f25UL, 0x6d6da96d4fc4da22UL,
414         0x0d0d340d68391a65UL, 0xfafacffa8335e979UL, 0xdfdf5bdfb684a369UL,
415         0x7e7ee57ed79bfca9UL, 0x242490243db44819UL, 0x3b3bec3bc5d776feUL,
416         0xabab96ab313d4b9aUL, 0xcece1fce3ed181f0UL, 0x1111441188552299UL,
417         0x8f8f068f0c890383UL,
418         0x4e4e254e4a6b9c04UL,
419         0xb7b7e6b7d1517366UL, 0xebeb8beb0b60cbe0UL, 0x3c3cf03cfdcc78c1UL,
420         0x81813e817cbf1ffdUL, 0x94946a94d4fe3540UL, 0xf7f7fbf7eb0cf31cUL,
421         0xb9b9deb9a1676f18UL, 0x13134c13985f268bUL, 0x2c2cb02c7d9c5851UL,
422         0xd3d36bd3d6b8bb05UL, 0xe7e7bbe76b5cd38cUL, 0x6e6ea56e57cbdc39UL,
423         0xc4c437c46ef395aaUL,
424         0x03030c03180f061bUL,
425         0x565645568a13acdcUL, 0x44440d441a49885eUL, 0x7f7fe17fdf9efea0UL,
426         0xa9a99ea921374f88UL, 0x2a2aa82a4d825467UL, 0xbbbbd6bbb16d6b0aUL,
427         0xc1c123c146e29f87UL, 0x53535153a202a6f1UL, 0xdcdc57dcae8ba572UL,
428         0x0b0b2c0b58271653UL, 0x9d9d4e9d9cd32701UL, 0x6c6cad6c47c1d82bUL,
429         0x3131c43195f562a4UL,
430         0x7474cd7487b9e8f3UL,
431         0xf6f6fff6e309f115UL, 0x464605460a438c4cUL, 0xacac8aac092645a5UL,
432         0x89891e893c970fb5UL, 0x14145014a04428b4UL, 0xe1e1a3e15b42dfbaUL,
433         0x16165816b04e2ca6UL, 0x3a3ae83acdd274f7UL, 0x6969b9696fd0d206UL,
434         0x09092409482d1241UL, 0x7070dd70a7ade0d7UL, 0xb6b6e2b6d954716fUL,
435         0xd0d067d0ceb7bd1eUL,
436         0xeded93ed3b7ec7d6UL,
437         0xcccc17cc2edb85e2UL, 0x424215422a578468UL, 0x98985a98b4c22d2cUL,
438         0xa4a4aaa4490e55edUL, 0x2828a0285d885075UL, 0x5c5c6d5cda31b886UL,
439         0xf8f8c7f8933fed6bUL, 0x8686228644a411c2UL,
440         ], [
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460             0xd985852e855cab17UL, 0x3cbdbdcebd817367UL, 0x8f5d5d695dd234baUL,
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466             0xb27d7de97dcf94faUL, 0x4995956e95dcfb37UL, 0x56d8d847d88e9fadUL,
467             0x70fbfbcbfb8b30ebUL,
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482             0x770f0f3c0f78331eUL, 0x33d5d573d5e6a6b7UL, 0xf480803a8074ba1dUL,
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501             0xad3030c0309df060UL, 0xc4efef9bef2b74c3UL, 0xda3f3ffc3fe5c37eUL,
502             0xc755554955921caaUL, 0xdba2a2b2a2791059UL, 0xe9eaea8fea0365c9UL,
503             0x6a656589650feccaUL,
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512             0x5296966296c4f431UL, 0x62f9f9c3f99b3aefUL, 0xa3c5c533c566f697UL,
513             0x102525942535b14aUL, 0xab59597959f220b2UL, 0xd084842a8454ae15UL,
514             0xc57272d572b7a7e4UL, 0xec3939e439d5dd72UL, 0x164c4c2d4c5a6198UL,
515             0x945e5e655eca3bbcUL,
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518             0xe4a5a5aea5410b57UL, 0xa1e2e2afe2434dd9UL, 0x4e616199612ff8c2UL,
519             0x42b3b3f6b3f1457bUL, 0x342121842115a542UL, 0x089c9c4a9c94d625UL,
520             0xee1e1e781ef0663cUL, 0x6143431143225286UL, 0xb1c7c73bc776fc93UL,
521             0x4ffcfcd7fcb32be5UL,
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524             0x650d0d340d68391aUL, 0x79fafacffa8335e9UL, 0x69dfdf5bdfb684a3UL,
525             0xa97e7ee57ed79bfcUL, 0x19242490243db448UL, 0xfe3b3bec3bc5d776UL,
526             0x9aabab96ab313d4bUL, 0xf0cece1fce3ed181UL, 0x9911114411885522UL,
527             0x838f8f068f0c8903UL,
528             0x044e4e254e4a6b9cUL,
529             0x66b7b7e6b7d15173UL, 0xe0ebeb8beb0b60cbUL, 0xc13c3cf03cfdcc78UL,
530             0xfd81813e817cbf1fUL, 0x4094946a94d4fe35UL, 0x1cf7f7fbf7eb0cf3UL,
531             0x18b9b9deb9a1676fUL, 0x8b13134c13985f26UL, 0x512c2cb02c7d9c58UL,
532             0x05d3d36bd3d6b8bbUL, 0x8ce7e7bbe76b5cd3UL, 0x396e6ea56e57cbdcUL,
533             0xaac4c437c46ef395UL,
534             0x1b03030c03180f06UL,
535             0xdc565645568a13acUL, 0x5e44440d441a4988UL, 0xa07f7fe17fdf9efeUL,
536             0x88a9a99ea921374fUL, 0x672a2aa82a4d8254UL, 0x0abbbbd6bbb16d6bUL,
537             0x87c1c123c146e29fUL, 0xf153535153a202a6UL, 0x72dcdc57dcae8ba5UL,
538             0x530b0b2c0b582716UL, 0x019d9d4e9d9cd327UL, 0x2b6c6cad6c47c1d8UL,
539             0xa43131c43195f562UL,
540             0xf37474cd7487b9e8UL,
541             0x15f6f6fff6e309f1UL, 0x4c464605460a438cUL, 0xa5acac8aac092645UL,
542             0xb589891e893c970fUL, 0xb414145014a04428UL, 0xbae1e1a3e15b42dfUL,
543             0xa616165816b04e2cUL, 0xf73a3ae83acdd274UL, 0x066969b9696fd0d2UL,
544             0x4109092409482d12UL, 0xd77070dd70a7ade0UL, 0x6fb6b6e2b6d95471UL,
545             0x1ed0d067d0ceb7bdUL,
546             0xd6eded93ed3b7ec7UL,
547             0xe2cccc17cc2edb85UL, 0x68424215422a5784UL, 0x2c98985a98b4c22dUL,
548             0xeda4a4aaa4490e55UL, 0x752828a0285d8850UL, 0x865c5c6d5cda31b8UL,
549             0x6bf8f8c7f8933fedUL, 0xc28686228644a411UL,
550             ], [
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552                 0xcdfbe8e887e8136fUL, 0x13cb878726874ca1UL, 0x6d11b8b8dab8a962UL,
553                 0x0209010104010805UL, 0x9e0d4f4f214f426eUL, 0x6c9b3636d836adeeUL,
554                 0x51ffa6a6a2a65904UL,
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556                 0xde306f6fa16f5fceUL, 0x3f6d91917e91fcefUL, 0xa4f852525552aa07UL,
557                 0xc04760609d6027fdUL, 0x6535bcbccabc8976UL, 0x2b379b9b569baccdUL,
558     0x018a8e8e028e048cUL, 0x5bd2a3a3b6a37115UL, 0x186c0c0c300c603cUL,
559     0xf6847b7bf17bff8aUL,
560     0x6a803535d435b5e1UL,
561     0x3af51d1d741de869UL, 0xddb3e0e0a7e05347UL, 0xb321d7d77bd7f6acUL,
562     0x999cc2c22fc25eedUL, 0x5c432e2eb82e6d96UL, 0x96294b4b314b627aUL,
563     0xe15dfefedffea321UL, 0xaed5575741578216UL, 0x2abd15155415a841UL,
564     0xeee87777c1779fb6UL, 0x6e923737dc37a5ebUL, 0xd79ee5e5b3e57b56UL,
565     0x23139f9f469f8cd9UL,
566     0xfd23f0f0e7f0d317UL,
567     0x94204a4a354a6a7fUL, 0xa944dada4fda9e95UL, 0xb0a258587d58fa25UL,
568     0x8fcfc9c903c906caUL, 0x527c2929a429558dUL, 0x145a0a0a280a5022UL,
569     0x7f50b1b1feb1e14fUL, 0x5dc9a0a0baa0691aUL, 0xd6146b6bb16b7fdaUL,
570     0x17d985852e855cabUL, 0x673cbdbdcebd8173UL, 0xba8f5d5d695dd234UL,
571     0x2090101040108050UL,
572     0xf507f4f4f7f4f303UL,
573     0x8bddcbcb0bcb16c0UL, 0x7cd33e3ef83eedc6UL, 0x0a2d050514052811UL,
574     0xce78676781671fe6UL, 0xd597e4e4b7e47353UL, 0x4e0227279c2725bbUL,
575     0x8273414119413258UL, 0x0ba78b8b168b2c9dUL, 0x53f6a7a7a6a75101UL,
576     0xfab27d7de97dcf94UL, 0x374995956e95dcfbUL, 0xad56d8d847d88e9fUL,
577     0xeb70fbfbcbfb8b30UL,
578     0xc1cdeeee9fee2371UL,
579     0xf8bb7c7ced7cc791UL, 0xcc716666856617e3UL, 0xa77bdddd53dda68eUL,
580     0x2eaf17175c17b84bUL, 0x8e45474701470246UL, 0x211a9e9e429e84dcUL,
581     0x89d4caca0fca1ec5UL, 0x5a582d2db42d7599UL, 0x632ebfbfc6bf9179UL,
582     0x0e3f07071c07381bUL, 0x47acadad8ead0123UL, 0xb4b05a5a755aea2fUL,
583     0x1bef838336836cb5UL,
584     0x66b63333cc3385ffUL,
585     0xc65c636391633ff2UL, 0x041202020802100aUL, 0x4993aaaa92aa3938UL,
586     0xe2de7171d971afa8UL, 0x8dc6c8c807c80ecfUL, 0x32d119196419c87dUL,
587     0x923b494939497270UL, 0xaf5fd9d943d9869aUL, 0xf931f2f2eff2c31dUL,
588     0xdba8e3e3abe34b48UL, 0xb6b95b5b715be22aUL, 0x0dbc88881a883492UL,
589     0x293e9a9a529aa4c8UL,
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592     0x1e770f0f3c0f7833UL, 0xb733d5d573d5e6a6UL, 0x1df480803a8074baUL,
593     0x6127bebec2be997cUL, 0x87ebcdcd13cd26deUL, 0x68893434d034bde4UL,
594     0x903248483d487a75UL, 0xe354ffffdbffab24UL, 0xf48d7a7af57af78fUL,
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597     0x403d202080201da0UL, 0xd00f6868bd6867d5UL, 0x34ca1a1a681ad072UL,
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600     0xff2af1f1e3f1db12UL, 0xe6cc7373d173bfa2UL, 0x248212124812905aUL,
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602     0x1048080820084028UL,
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604     0x5fc0a1a1bea1611fUL, 0x07918d8d0e8d1c83UL, 0x7ac83d3df43df5c9UL,
605     0x335b97976697ccf1UL, 0x0000000000000000UL, 0x83f9cfcf1bcf36d4UL,
606     0x566e2b2bac2b4587UL, 0xece17676c57697b3UL, 0x19e68282328264b0UL,
607     0xb128d6d67fd6fea9UL,
608     0x36c31b1b6c1bd877UL,
609     0x7774b5b5eeb5c15bUL, 0x43beafaf86af1129UL, 0xd41d6a6ab56a77dfUL,
610     0xa0ea50505d50ba0dUL, 0x8a5745450945124cUL, 0xfb38f3f3ebf3cb18UL,
611     0x60ad3030c0309df0UL, 0xc3c4efef9bef2b74UL, 0x7eda3f3ffc3fe5c3UL,
612     0xaac755554955921cUL, 0x59dba2a2b2a27910UL, 0xc9e9eaea8fea0365UL,
613     0xca6a656589650fecUL,
614     0x6903babad2bab968UL,
615     0x5e4a2f2fbc2f6593UL, 0x9d8ec0c027c04ee7UL, 0xa160dede5fdebe81UL,
616     0x38fc1c1c701ce06cUL, 0xe746fdfdd3fdbb2eUL, 0x9a1f4d4d294d5264UL,
617     0x397692927292e4e0UL, 0xeafa7575c9758fbcUL, 0x0c3606061806301eUL,
618     0x09ae8a8a128a2498UL, 0x794bb2b2f2b2f940UL, 0xd185e6e6bfe66359UL,
619     0x1c7e0e0e380e7036UL,
620     0x3ee71f1f7c1ff863UL,
621     0xc4556262956237f7UL, 0xb53ad4d477d4eea3UL, 0x4d81a8a89aa82932UL,
622     0x315296966296c4f4UL, 0xef62f9f9c3f99b3aUL, 0x97a3c5c533c566f6UL,
623     0x4a102525942535b1UL, 0xb2ab59597959f220UL, 0x15d084842a8454aeUL,
624     0xe4c57272d572b7a7UL, 0x72ec3939e439d5ddUL, 0x98164c4c2d4c5a61UL,
625     0xbc945e5e655eca3bUL,
626     0xf09f7878fd78e785UL,
627     0x70e53838e038ddd8UL, 0x05988c8c0a8c1486UL, 0xbf17d1d163d1c6b2UL,
628     0x57e4a5a5aea5410bUL, 0xd9a1e2e2afe2434dUL, 0xc24e616199612ff8UL,
629     0x7b42b3b3f6b3f145UL, 0x42342121842115a5UL, 0x25089c9c4a9c94d6UL,
630     0x3cee1e1e781ef066UL, 0x8661434311432252UL, 0x93b1c7c73bc776fcUL,
631     0xe54ffcfcd7fcb32bUL,
632     0x0824040410042014UL,
633     0xa2e351515951b208UL, 0x2f2599995e99bcc7UL, 0xda226d6da96d4fc4UL,
634     0x1a650d0d340d6839UL, 0xe979fafacffa8335UL, 0xa369dfdf5bdfb684UL,
635     0xfca97e7ee57ed79bUL, 0x4819242490243db4UL, 0x76fe3b3bec3bc5d7UL,
636     0x4b9aabab96ab313dUL, 0x81f0cece1fce3ed1UL, 0x2299111144118855UL,
637     0x03838f8f068f0c89UL,
638     0x9c044e4e254e4a6bUL,
639     0x7366b7b7e6b7d151UL, 0xcbe0ebeb8beb0b60UL, 0x78c13c3cf03cfdccUL,
640     0x1ffd81813e817cbfUL, 0x354094946a94d4feUL, 0xf31cf7f7fbf7eb0cUL,
641     0x6f18b9b9deb9a167UL, 0x268b13134c13985fUL, 0x58512c2cb02c7d9cUL,
642     0xbb05d3d36bd3d6b8UL, 0xd38ce7e7bbe76b5cUL, 0xdc396e6ea56e57cbUL,
643     0x95aac4c437c46ef3UL,
644     0x061b03030c03180fUL,
645     0xacdc565645568a13UL, 0x885e44440d441a49UL, 0xfea07f7fe17fdf9eUL,
646     0x4f88a9a99ea92137UL, 0x54672a2aa82a4d82UL, 0x6b0abbbbd6bbb16dUL,
647     0x9f87c1c123c146e2UL, 0xa6f153535153a202UL, 0xa572dcdc57dcae8bUL,
648     0x16530b0b2c0b5827UL, 0x27019d9d4e9d9cd3UL, 0xd82b6c6cad6c47c1UL,
649     0x62a43131c43195f5UL,
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652     0x0fb589891e893c97UL, 0x28b414145014a044UL, 0xdfbae1e1a3e15b42UL,
653     0x2ca616165816b04eUL, 0x74f73a3ae83acdd2UL, 0xd2066969b9696fd0UL,
654     0x124109092409482dUL, 0xe0d77070dd70a7adUL, 0x716fb6b6e2b6d954UL,
655     0xbd1ed0d067d0ceb7UL,
656     0xc7d6eded93ed3b7eUL,
657     0x85e2cccc17cc2edbUL, 0x8468424215422a57UL, 0x2d2c98985a98b4c2UL,
658     0x55eda4a4aaa4490eUL, 0x50752828a0285d88UL, 0xb8865c5c6d5cda31UL,
659     0xed6bf8f8c7f8933fUL, 0x11c28686228644a4UL,
660 ], [
661     0x7830d818186018c0UL, 0xaf462623238c2305UL, 0xf991b8c6c63fc67eUL,
662     0x6fcdfbe8e887e813UL, 0xa113cb878726874cUL, 0x626d11b8b8dab8a9UL,
663     0x0502090101040108UL, 0x6e9e0d4f4f214f42UL, 0xee6c9b3636d836adUL,
664     0x0451ffa6a6a2a659UL,
665     0xbdb90cd2d26fd2deUL, 0x06f70ef5f5f3f5fbUL, 0x80f2967979f979efUL,
666     0xcede306f6fa16f5fUL, 0xef3f6d91917e91fcUL, 0x07a4f852525552aaUL,
667     0xfdc04760609d6027UL, 0x766535bcbccabc89UL, 0xcd2b379b9b569bacUL,
668     0x8c018a8e8e028e04UL, 0x155bd2a3a3b6a371UL, 0x3c186c0c0c300c60UL,
669     0x8af6847b7bf17bffUL,
670     0xe16a803535d435b5UL,
671     0x693af51d1d741de8UL, 0x47ddb3e0e0a7e053UL, 0xacb321d7d77bd7f6UL,
672     0xed999cc2c22fc25eUL, 0x965c432e2eb82e6dUL, 0x7a96294b4b314b62UL,
673     0x21e15dfefedffea3UL, 0x16aed55757415782UL, 0x412abd15155415a8UL,
674     0xb6eee87777c1779fUL, 0xeb6e923737dc37a5UL, 0x56d79ee5e5b3e57bUL,
675     0xd923139f9f469f8cUL,
676     0x17fd23f0f0e7f0d3UL,
677     0x7f94204a4a354a6aUL, 0x95a944dada4fda9eUL, 0x25b0a258587d58faUL,
678     0xca8fcfc9c903c906UL, 0x8d527c2929a42955UL, 0x22145a0a0a280a50UL,
679     0x4f7f50b1b1feb1e1UL, 0x1a5dc9a0a0baa069UL, 0xdad6146b6bb16b7fUL,
680     0xab17d985852e855cUL, 0x73673cbdbdcebd81UL, 0x34ba8f5d5d695dd2UL,
681     0x5020901010401080UL,
682     0x03f507f4f4f7f4f3UL,
683     0xc08bddcbcb0bcb16UL, 0xc67cd33e3ef83eedUL, 0x110a2d0505140528UL,
684     0xe6ce78676781671fUL, 0x53d597e4e4b7e473UL, 0xbb4e0227279c2725UL,
685     0x5882734141194132UL, 0x9d0ba78b8b168b2cUL, 0x0153f6a7a7a6a751UL,
686     0x94fab27d7de97dcfUL, 0xfb374995956e95dcUL, 0x9fad56d8d847d88eUL,
687     0x30eb70fbfbcbfb8bUL,
688     0x71c1cdeeee9fee23UL,
689     0x91f8bb7c7ced7cc7UL, 0xe3cc716666856617UL, 0x8ea77bdddd53dda6UL,
690     0x4b2eaf17175c17b8UL, 0x468e454747014702UL, 0xdc211a9e9e429e84UL,
691     0xc589d4caca0fca1eUL, 0x995a582d2db42d75UL, 0x79632ebfbfc6bf91UL,
692     0x1b0e3f07071c0738UL, 0x2347acadad8ead01UL, 0x2fb4b05a5a755aeaUL,
693     0xb51bef838336836cUL,
694     0xff66b63333cc3385UL,
695     0xf2c65c636391633fUL, 0x0a04120202080210UL, 0x384993aaaa92aa39UL,
696     0xa8e2de7171d971afUL, 0xcf8dc6c8c807c80eUL, 0x7d32d119196419c8UL,
697     0x70923b4949394972UL, 0x9aaf5fd9d943d986UL, 0x1df931f2f2eff2c3UL,
698     0x48dba8e3e3abe34bUL, 0x2ab6b95b5b715be2UL, 0x920dbc88881a8834UL,
699     0xc8293e9a9a529aa4UL,
700     0xbe4c0b262698262dUL,
701     0xfa64bf3232c8328dUL, 0x4a7d59b0b0fab0e9UL, 0x6acff2e9e983e91bUL,
702     0x331e770f0f3c0f78UL, 0xa6b733d5d573d5e6UL, 0xba1df480803a8074UL,
703     0x7c6127bebec2be99UL, 0xde87ebcdcd13cd26UL, 0xe468893434d034bdUL,
704     0x75903248483d487aUL, 0x24e354ffffdbffabUL, 0x8ff48d7a7af57af7UL,
705     0xea3d6490907a90f4UL,
706     0x3ebe9d5f5f615fc2UL,
707     0xa0403d202080201dUL, 0xd5d00f6868bd6867UL, 0x7234ca1a1a681ad0UL,
708     0x2c41b7aeae82ae19UL, 0x5e757db4b4eab4c9UL, 0x19a8ce54544d549aUL,
709     0xe53b7f93937693ecUL, 0xaa442f222288220dUL, 0xe9c86364648d6407UL,
710     0x12ff2af1f1e3f1dbUL, 0xa2e6cc7373d173bfUL, 0x5a24821212481290UL,
711     0x5d807a40401d403aUL,
712     0x2810480808200840UL,
713     0xe89b95c3c32bc356UL, 0x7bc5dfecec97ec33UL, 0x90ab4ddbdb4bdb96UL,
714     0x1f5fc0a1a1bea161UL, 0x8307918d8d0e8d1cUL, 0xc97ac83d3df43df5UL,
715     0xf1335b97976697ccUL, 0x0000000000000000UL, 0xd483f9cfcf1bcf36UL,
716     0x87566e2b2bac2b45UL, 0xb3ece17676c57697UL, 0xb019e68282328264UL,
717     0xa9b128d6d67fd6feUL,
718     0x7736c31b1b6c1bd8UL,
719     0x5b7774b5b5eeb5c1UL, 0x2943beafaf86af11UL, 0xdfd41d6a6ab56a77UL,
720     0x0da0ea50505d50baUL, 0x4c8a574545094512UL, 0x18fb38f3f3ebf3cbUL,
721     0xf060ad3030c0309dUL, 0x74c3c4efef9bef2bUL, 0xc37eda3f3ffc3fe5UL,
722     0x1caac75555495592UL, 0x1059dba2a2b2a279UL, 0x65c9e9eaea8fea03UL,
723     0xecca6a656589650fUL,
724     0x686903babad2bab9UL,
725     0x935e4a2f2fbc2f65UL, 0xe79d8ec0c027c04eUL, 0x81a160dede5fdebeUL,
726     0x6c38fc1c1c701ce0UL, 0x2ee746fdfdd3fdbbUL, 0x649a1f4d4d294d52UL,
727     0xe0397692927292e4UL, 0xbceafa7575c9758fUL, 0x1e0c360606180630UL,
728     0x9809ae8a8a128a24UL, 0x40794bb2b2f2b2f9UL, 0x59d185e6e6bfe663UL,
729     0x361c7e0e0e380e70UL,
730     0x633ee71f1f7c1ff8UL,
731     0xf7c4556262956237UL, 0xa3b53ad4d477d4eeUL, 0x324d81a8a89aa829UL,
732     0xf4315296966296c4UL, 0x3aef62f9f9c3f99bUL, 0xf697a3c5c533c566UL,
733     0xb14a102525942535UL, 0x20b2ab59597959f2UL, 0xae15d084842a8454UL,
734     0xa7e4c57272d572b7UL, 0xdd72ec3939e439d5UL, 0x6198164c4c2d4c5aUL,
735     0x3bbc945e5e655ecaUL,
736     0x85f09f7878fd78e7UL,
737     0xd870e53838e038ddUL, 0x8605988c8c0a8c14UL, 0xb2bf17d1d163d1c6UL,
738     0x0b57e4a5a5aea541UL, 0x4dd9a1e2e2afe243UL, 0xf8c24e616199612fUL,
739     0x457b42b3b3f6b3f1UL, 0xa542342121842115UL, 0xd625089c9c4a9c94UL,
740     0x663cee1e1e781ef0UL, 0x5286614343114322UL, 0xfc93b1c7c73bc776UL,
741     0x2be54ffcfcd7fcb3UL,
742     0x1408240404100420UL,
743     0x08a2e351515951b2UL, 0xc72f2599995e99bcUL, 0xc4da226d6da96d4fUL,
744     0x391a650d0d340d68UL, 0x35e979fafacffa83UL, 0x84a369dfdf5bdfb6UL,
745     0x9bfca97e7ee57ed7UL, 0xb44819242490243dUL, 0xd776fe3b3bec3bc5UL,
746     0x3d4b9aabab96ab31UL, 0xd181f0cece1fce3eUL, 0x5522991111441188UL,
747     0x8903838f8f068f0cUL,
748     0x6b9c044e4e254e4aUL,
749     0x517366b7b7e6b7d1UL, 0x60cbe0ebeb8beb0bUL, 0xcc78c13c3cf03cfdUL,
750     0xbf1ffd81813e817cUL, 0xfe354094946a94d4UL, 0x0cf31cf7f7fbf7ebUL,
751     0x676f18b9b9deb9a1UL, 0x5f268b13134c1398UL, 0x9c58512c2cb02c7dUL,
752     0xb8bb05d3d36bd3d6UL, 0x5cd38ce7e7bbe76bUL, 0xcbdc396e6ea56e57UL,
753     0xf395aac4c437c46eUL,
754     0x0f061b03030c0318UL,
755     0x13acdc565645568aUL, 0x49885e44440d441aUL, 0x9efea07f7fe17fdfUL,
756     0x374f88a9a99ea921UL, 0x8254672a2aa82a4dUL, 0x6d6b0abbbbd6bbb1UL,
757     0xe29f87c1c123c146UL, 0x02a6f153535153a2UL, 0x8ba572dcdc57dcaeUL,
758     0x2716530b0b2c0b58UL, 0xd327019d9d4e9d9cUL, 0xc1d82b6c6cad6c47UL,
759     0xf562a43131c43195UL,
760     0xb9e8f37474cd7487UL,
761     0x09f115f6f6fff6e3UL, 0x438c4c464605460aUL, 0x2645a5acac8aac09UL,
762     0x970fb589891e893cUL, 0x4428b414145014a0UL, 0x42dfbae1e1a3e15bUL,
763     0x4e2ca616165816b0UL, 0xd274f73a3ae83acdUL, 0xd0d2066969b9696fUL,
764     0x2d12410909240948UL, 0xade0d77070dd70a7UL, 0x54716fb6b6e2b6d9UL,
765     0xb7bd1ed0d067d0ceUL,
766     0x7ec7d6eded93ed3bUL,
767     0xdb85e2cccc17cc2eUL, 0x578468424215422aUL, 0xc22d2c98985a98b4UL,
768     0x0e55eda4a4aaa449UL, 0x8850752828a0285dUL, 0x31b8865c5c6d5cdaUL,
769     0x3fed6bf8f8c7f893UL, 0xa411c28686228644UL,
770 ], [
771     0xc07830d818186018UL, 0x05af462623238c23UL, 0x7ef991b8c6c63fc6UL,
772     0x136fcdfbe8e887e8UL, 0x4ca113cb87872687UL, 0xa9626d11b8b8dab8UL,
773     0x0805020901010401UL, 0x426e9e0d4f4f214fUL, 0xadee6c9b3636d836UL,
774     0x590451ffa6a6a2a6UL,
775     0xdebdb90cd2d26fd2UL, 0xfb06f70ef5f5f3f5UL, 0xef80f2967979f979UL,
776     0x5fcede306f6fa16fUL, 0xfcef3f6d91917e91UL, 0xaa07a4f852525552UL,
777     0x27fdc04760609d60UL, 0x89766535bcbccabcUL, 0xaccd2b379b9b569bUL,
778     0x048c018a8e8e028eUL, 0x71155bd2a3a3b6a3UL, 0x603c186c0c0c300cUL,
779     0xff8af6847b7bf17bUL,
780     0xb5e16a803535d435UL,
781     0xe8693af51d1d741dUL, 0x5347ddb3e0e0a7e0UL, 0xf6acb321d7d77bd7UL,
782     0x5eed999cc2c22fc2UL, 0x6d965c432e2eb82eUL, 0x627a96294b4b314bUL,
783     0xa321e15dfefedffeUL, 0x8216aed557574157UL, 0xa8412abd15155415UL,
784     0x9fb6eee87777c177UL, 0xa5eb6e923737dc37UL, 0x7b56d79ee5e5b3e5UL,
785     0x8cd923139f9f469fUL,
786     0xd317fd23f0f0e7f0UL,
787     0x6a7f94204a4a354aUL, 0x9e95a944dada4fdaUL, 0xfa25b0a258587d58UL,
788     0x06ca8fcfc9c903c9UL, 0x558d527c2929a429UL, 0x5022145a0a0a280aUL,
789     0xe14f7f50b1b1feb1UL, 0x691a5dc9a0a0baa0UL, 0x7fdad6146b6bb16bUL,
790     0x5cab17d985852e85UL, 0x8173673cbdbdcebdUL, 0xd234ba8f5d5d695dUL,
791     0x8050209010104010UL,
792     0xf303f507f4f4f7f4UL,
793     0x16c08bddcbcb0bcbUL, 0xedc67cd33e3ef83eUL, 0x28110a2d05051405UL,
794     0x1fe6ce7867678167UL, 0x7353d597e4e4b7e4UL, 0x25bb4e0227279c27UL,
795     0x3258827341411941UL, 0x2c9d0ba78b8b168bUL, 0x510153f6a7a7a6a7UL,
796     0xcf94fab27d7de97dUL, 0xdcfb374995956e95UL, 0x8e9fad56d8d847d8UL,
797     0x8b30eb70fbfbcbfbUL,
798     0x2371c1cdeeee9feeUL,
799     0xc791f8bb7c7ced7cUL, 0x17e3cc7166668566UL, 0xa68ea77bdddd53ddUL,
800     0xb84b2eaf17175c17UL, 0x02468e4547470147UL, 0x84dc211a9e9e429eUL,
801     0x1ec589d4caca0fcaUL, 0x75995a582d2db42dUL, 0x9179632ebfbfc6bfUL,
802     0x381b0e3f07071c07UL, 0x012347acadad8eadUL, 0xea2fb4b05a5a755aUL,
803     0x6cb51bef83833683UL,
804     0x85ff66b63333cc33UL,
805     0x3ff2c65c63639163UL, 0x100a041202020802UL, 0x39384993aaaa92aaUL,
806     0xafa8e2de7171d971UL, 0x0ecf8dc6c8c807c8UL, 0xc87d32d119196419UL,
807     0x7270923b49493949UL, 0x869aaf5fd9d943d9UL, 0xc31df931f2f2eff2UL,
808     0x4b48dba8e3e3abe3UL, 0xe22ab6b95b5b715bUL, 0x34920dbc88881a88UL,
809     0xa4c8293e9a9a529aUL,
810     0x2dbe4c0b26269826UL,
811     0x8dfa64bf3232c832UL, 0xe94a7d59b0b0fab0UL, 0x1b6acff2e9e983e9UL,
812     0x78331e770f0f3c0fUL, 0xe6a6b733d5d573d5UL, 0x74ba1df480803a80UL,
813     0x997c6127bebec2beUL, 0x26de87ebcdcd13cdUL, 0xbde468893434d034UL,
814     0x7a75903248483d48UL, 0xab24e354ffffdbffUL, 0xf78ff48d7a7af57aUL,
815     0xf4ea3d6490907a90UL,
816     0xc23ebe9d5f5f615fUL,
817     0x1da0403d20208020UL, 0x67d5d00f6868bd68UL, 0xd07234ca1a1a681aUL,
818     0x192c41b7aeae82aeUL, 0xc95e757db4b4eab4UL, 0x9a19a8ce54544d54UL,
819     0xece53b7f93937693UL, 0x0daa442f22228822UL, 0x07e9c86364648d64UL,
820     0xdb12ff2af1f1e3f1UL, 0xbfa2e6cc7373d173UL, 0x905a248212124812UL,
821     0x3a5d807a40401d40UL,
822     0x4028104808082008UL,
823     0x56e89b95c3c32bc3UL, 0x337bc5dfecec97ecUL, 0x9690ab4ddbdb4bdbUL,
824     0x611f5fc0a1a1bea1UL, 0x1c8307918d8d0e8dUL, 0xf5c97ac83d3df43dUL,
825     0xccf1335b97976697UL, 0x0000000000000000UL, 0x36d483f9cfcf1bcfUL,
826     0x4587566e2b2bac2bUL, 0x97b3ece17676c576UL, 0x64b019e682823282UL,
827     0xfea9b128d6d67fd6UL,
828     0xd87736c31b1b6c1bUL,
829     0xc15b7774b5b5eeb5UL, 0x112943beafaf86afUL, 0x77dfd41d6a6ab56aUL,
830     0xba0da0ea50505d50UL, 0x124c8a5745450945UL, 0xcb18fb38f3f3ebf3UL,
831     0x9df060ad3030c030UL, 0x2b74c3c4efef9befUL, 0xe5c37eda3f3ffc3fUL,
832     0x921caac755554955UL, 0x791059dba2a2b2a2UL, 0x0365c9e9eaea8feaUL,
833     0x0fecca6a65658965UL,
834     0xb9686903babad2baUL,
835     0x65935e4a2f2fbc2fUL, 0x4ee79d8ec0c027c0UL, 0xbe81a160dede5fdeUL,
836     0xe06c38fc1c1c701cUL, 0xbb2ee746fdfdd3fdUL, 0x52649a1f4d4d294dUL,
837     0xe4e0397692927292UL, 0x8fbceafa7575c975UL, 0x301e0c3606061806UL,
838     0x249809ae8a8a128aUL, 0xf940794bb2b2f2b2UL, 0x6359d185e6e6bfe6UL,
839     0x70361c7e0e0e380eUL,
840     0xf8633ee71f1f7c1fUL,
841     0x37f7c45562629562UL, 0xeea3b53ad4d477d4UL, 0x29324d81a8a89aa8UL,
842     0xc4f4315296966296UL, 0x9b3aef62f9f9c3f9UL, 0x66f697a3c5c533c5UL,
843     0x35b14a1025259425UL, 0xf220b2ab59597959UL, 0x54ae15d084842a84UL,
844     0xb7a7e4c57272d572UL, 0xd5dd72ec3939e439UL, 0x5a6198164c4c2d4cUL,
845     0xca3bbc945e5e655eUL,
846     0xe785f09f7878fd78UL,
847     0xddd870e53838e038UL, 0x148605988c8c0a8cUL, 0xc6b2bf17d1d163d1UL,
848     0x410b57e4a5a5aea5UL, 0x434dd9a1e2e2afe2UL, 0x2ff8c24e61619961UL,
849     0xf1457b42b3b3f6b3UL, 0x15a5423421218421UL, 0x94d625089c9c4a9cUL,
850     0xf0663cee1e1e781eUL, 0x2252866143431143UL, 0x76fc93b1c7c73bc7UL,
851     0xb32be54ffcfcd7fcUL,
852     0x2014082404041004UL,
853     0xb208a2e351515951UL, 0xbcc72f2599995e99UL, 0x4fc4da226d6da96dUL,
854     0x68391a650d0d340dUL, 0x8335e979fafacffaUL, 0xb684a369dfdf5bdfUL,
855     0xd79bfca97e7ee57eUL, 0x3db4481924249024UL, 0xc5d776fe3b3bec3bUL,
856     0x313d4b9aabab96abUL, 0x3ed181f0cece1fceUL, 0x8855229911114411UL,
857     0x0c8903838f8f068fUL,
858     0x4a6b9c044e4e254eUL,
859     0xd1517366b7b7e6b7UL, 0x0b60cbe0ebeb8bebUL, 0xfdcc78c13c3cf03cUL,
860     0x7cbf1ffd81813e81UL, 0xd4fe354094946a94UL, 0xeb0cf31cf7f7fbf7UL,
861     0xa1676f18b9b9deb9UL, 0x985f268b13134c13UL, 0x7d9c58512c2cb02cUL,
862     0xd6b8bb05d3d36bd3UL, 0x6b5cd38ce7e7bbe7UL, 0x57cbdc396e6ea56eUL,
863     0x6ef395aac4c437c4UL,
864     0x180f061b03030c03UL,
865     0x8a13acdc56564556UL, 0x1a49885e44440d44UL, 0xdf9efea07f7fe17fUL,
866     0x21374f88a9a99ea9UL, 0x4d8254672a2aa82aUL, 0xb16d6b0abbbbd6bbUL,
867     0x46e29f87c1c123c1UL, 0xa202a6f153535153UL, 0xae8ba572dcdc57dcUL,
868     0x582716530b0b2c0bUL, 0x9cd327019d9d4e9dUL, 0x47c1d82b6c6cad6cUL,
869     0x95f562a43131c431UL,
870     0x87b9e8f37474cd74UL,
871     0xe309f115f6f6fff6UL, 0x0a438c4c46460546UL, 0x092645a5acac8aacUL,
872     0x3c970fb589891e89UL, 0xa04428b414145014UL, 0x5b42dfbae1e1a3e1UL,
873     0xb04e2ca616165816UL, 0xcdd274f73a3ae83aUL, 0x6fd0d2066969b969UL,
874     0x482d124109092409UL, 0xa7ade0d77070dd70UL, 0xd954716fb6b6e2b6UL,
875     0xceb7bd1ed0d067d0UL,
876     0x3b7ec7d6eded93edUL,
877     0x2edb85e2cccc17ccUL, 0x2a57846842421542UL, 0xb4c22d2c98985a98UL,
878     0x490e55eda4a4aaa4UL, 0x5d8850752828a028UL, 0xda31b8865c5c6d5cUL,
879     0x933fed6bf8f8c7f8UL, 0x44a411c286862286UL,
880 ], [
881     0x18c07830d8181860UL, 0x2305af462623238cUL, 0xc67ef991b8c6c63fUL,
882     0xe8136fcdfbe8e887UL, 0x874ca113cb878726UL, 0xb8a9626d11b8b8daUL,
883     0x0108050209010104UL, 0x4f426e9e0d4f4f21UL, 0x36adee6c9b3636d8UL,
884     0xa6590451ffa6a6a2UL,
885     0xd2debdb90cd2d26fUL, 0xf5fb06f70ef5f5f3UL, 0x79ef80f2967979f9UL,
886     0x6f5fcede306f6fa1UL, 0x91fcef3f6d91917eUL, 0x52aa07a4f8525255UL,
887     0x6027fdc04760609dUL, 0xbc89766535bcbccaUL, 0x9baccd2b379b9b56UL,
888     0x8e048c018a8e8e02UL, 0xa371155bd2a3a3b6UL, 0x0c603c186c0c0c30UL,
889     0x7bff8af6847b7bf1UL,
890     0x35b5e16a803535d4UL,
891     0x1de8693af51d1d74UL, 0xe05347ddb3e0e0a7UL, 0xd7f6acb321d7d77bUL,
892     0xc25eed999cc2c22fUL, 0x2e6d965c432e2eb8UL, 0x4b627a96294b4b31UL,
893     0xfea321e15dfefedfUL, 0x578216aed5575741UL, 0x15a8412abd151554UL,
894     0x779fb6eee87777c1UL, 0x37a5eb6e923737dcUL, 0xe57b56d79ee5e5b3UL,
895     0x9f8cd923139f9f46UL,
896     0xf0d317fd23f0f0e7UL,
897     0x4a6a7f94204a4a35UL, 0xda9e95a944dada4fUL, 0x58fa25b0a258587dUL,
898     0xc906ca8fcfc9c903UL, 0x29558d527c2929a4UL, 0x0a5022145a0a0a28UL,
899     0xb1e14f7f50b1b1feUL, 0xa0691a5dc9a0a0baUL, 0x6b7fdad6146b6bb1UL,
900     0x855cab17d985852eUL, 0xbd8173673cbdbdceUL, 0x5dd234ba8f5d5d69UL,
901     0x1080502090101040UL,
902     0xf4f303f507f4f4f7UL,
903     0xcb16c08bddcbcb0bUL, 0x3eedc67cd33e3ef8UL, 0x0528110a2d050514UL,
904     0x671fe6ce78676781UL, 0xe47353d597e4e4b7UL, 0x2725bb4e0227279cUL,
905     0x4132588273414119UL, 0x8b2c9d0ba78b8b16UL, 0xa7510153f6a7a7a6UL,
906     0x7dcf94fab27d7de9UL, 0x95dcfb374995956eUL, 0xd88e9fad56d8d847UL,
907     0xfb8b30eb70fbfbcbUL,
908     0xee2371c1cdeeee9fUL,
909     0x7cc791f8bb7c7cedUL, 0x6617e3cc71666685UL, 0xdda68ea77bdddd53UL,
910     0x17b84b2eaf17175cUL, 0x4702468e45474701UL, 0x9e84dc211a9e9e42UL,
911     0xca1ec589d4caca0fUL, 0x2d75995a582d2db4UL, 0xbf9179632ebfbfc6UL,
912     0x07381b0e3f07071cUL, 0xad012347acadad8eUL, 0x5aea2fb4b05a5a75UL,
913     0x836cb51bef838336UL,
914     0x3385ff66b63333ccUL,
915     0x633ff2c65c636391UL, 0x02100a0412020208UL, 0xaa39384993aaaa92UL,
916     0x71afa8e2de7171d9UL, 0xc80ecf8dc6c8c807UL, 0x19c87d32d1191964UL,
917     0x497270923b494939UL, 0xd9869aaf5fd9d943UL, 0xf2c31df931f2f2efUL,
918     0xe34b48dba8e3e3abUL, 0x5be22ab6b95b5b71UL, 0x8834920dbc88881aUL,
919     0x9aa4c8293e9a9a52UL,
920     0x262dbe4c0b262698UL,
921     0x328dfa64bf3232c8UL, 0xb0e94a7d59b0b0faUL, 0xe91b6acff2e9e983UL,
922     0x0f78331e770f0f3cUL, 0xd5e6a6b733d5d573UL, 0x8074ba1df480803aUL,
923     0xbe997c6127bebec2UL, 0xcd26de87ebcdcd13UL, 0x34bde468893434d0UL,
924     0x487a75903248483dUL, 0xffab24e354ffffdbUL, 0x7af78ff48d7a7af5UL,
925     0x90f4ea3d6490907aUL,
926     0x5fc23ebe9d5f5f61UL,
927     0x201da0403d202080UL, 0x6867d5d00f6868bdUL, 0x1ad07234ca1a1a68UL,
928     0xae192c41b7aeae82UL, 0xb4c95e757db4b4eaUL, 0x549a19a8ce54544dUL,
929     0x93ece53b7f939376UL, 0x220daa442f222288UL, 0x6407e9c86364648dUL,
930     0xf1db12ff2af1f1e3UL, 0x73bfa2e6cc7373d1UL, 0x12905a2482121248UL,
931     0x403a5d807a40401dUL,
932     0x0840281048080820UL,
933     0xc356e89b95c3c32bUL, 0xec337bc5dfecec97UL, 0xdb9690ab4ddbdb4bUL,
934     0xa1611f5fc0a1a1beUL, 0x8d1c8307918d8d0eUL, 0x3df5c97ac83d3df4UL,
935     0x97ccf1335b979766UL, 0x0000000000000000UL, 0xcf36d483f9cfcf1bUL,
936     0x2b4587566e2b2bacUL, 0x7697b3ece17676c5UL, 0x8264b019e6828232UL,
937     0xd6fea9b128d6d67fUL,
938     0x1bd87736c31b1b6cUL,
939     0xb5c15b7774b5b5eeUL, 0xaf112943beafaf86UL, 0x6a77dfd41d6a6ab5UL,
940     0x50ba0da0ea50505dUL, 0x45124c8a57454509UL, 0xf3cb18fb38f3f3ebUL,
941     0x309df060ad3030c0UL, 0xef2b74c3c4efef9bUL, 0x3fe5c37eda3f3ffcUL,
942     0x55921caac7555549UL, 0xa2791059dba2a2b2UL, 0xea0365c9e9eaea8fUL,
943     0x650fecca6a656589UL,
944     0xbab9686903babad2UL,
945     0x2f65935e4a2f2fbcUL, 0xc04ee79d8ec0c027UL, 0xdebe81a160dede5fUL,
946     0x1ce06c38fc1c1c70UL, 0xfdbb2ee746fdfdd3UL, 0x4d52649a1f4d4d29UL,
947     0x92e4e03976929272UL, 0x758fbceafa7575c9UL, 0x06301e0c36060618UL,
948     0x8a249809ae8a8a12UL, 0xb2f940794bb2b2f2UL, 0xe66359d185e6e6bfUL,
949     0x0e70361c7e0e0e38UL,
950     0x1ff8633ee71f1f7cUL,
951     0x6237f7c455626295UL, 0xd4eea3b53ad4d477UL, 0xa829324d81a8a89aUL,
952     0x96c4f43152969662UL, 0xf99b3aef62f9f9c3UL, 0xc566f697a3c5c533UL,
953     0x2535b14a10252594UL, 0x59f220b2ab595979UL, 0x8454ae15d084842aUL,
954     0x72b7a7e4c57272d5UL, 0x39d5dd72ec3939e4UL, 0x4c5a6198164c4c2dUL,
955     0x5eca3bbc945e5e65UL,
956     0x78e785f09f7878fdUL,
957     0x38ddd870e53838e0UL, 0x8c148605988c8c0aUL, 0xd1c6b2bf17d1d163UL,
958     0xa5410b57e4a5a5aeUL, 0xe2434dd9a1e2e2afUL, 0x612ff8c24e616199UL,
959     0xb3f1457b42b3b3f6UL, 0x2115a54234212184UL, 0x9c94d625089c9c4aUL,
960     0x1ef0663cee1e1e78UL, 0x4322528661434311UL, 0xc776fc93b1c7c73bUL,
961     0xfcb32be54ffcfcd7UL,
962     0x0420140824040410UL,
963     0x51b208a2e3515159UL, 0x99bcc72f2599995eUL, 0x6d4fc4da226d6da9UL,
964     0x0d68391a650d0d34UL, 0xfa8335e979fafacfUL, 0xdfb684a369dfdf5bUL,
965     0x7ed79bfca97e7ee5UL, 0x243db44819242490UL, 0x3bc5d776fe3b3becUL,
966     0xab313d4b9aabab96UL, 0xce3ed181f0cece1fUL, 0x1188552299111144UL,
967     0x8f0c8903838f8f06UL,
968     0x4e4a6b9c044e4e25UL,
969     0xb7d1517366b7b7e6UL, 0xeb0b60cbe0ebeb8bUL, 0x3cfdcc78c13c3cf0UL,
970     0x817cbf1ffd81813eUL, 0x94d4fe354094946aUL, 0xf7eb0cf31cf7f7fbUL,
971     0xb9a1676f18b9b9deUL, 0x13985f268b13134cUL, 0x2c7d9c58512c2cb0UL,
972     0xd3d6b8bb05d3d36bUL, 0xe76b5cd38ce7e7bbUL, 0x6e57cbdc396e6ea5UL,
973     0xc46ef395aac4c437UL,
974     0x03180f061b03030cUL,
975     0x568a13acdc565645UL, 0x441a49885e44440dUL, 0x7fdf9efea07f7fe1UL,
976     0xa921374f88a9a99eUL, 0x2a4d8254672a2aa8UL, 0xbbb16d6b0abbbbd6UL,
977     0xc146e29f87c1c123UL, 0x53a202a6f1535351UL, 0xdcae8ba572dcdc57UL,
978     0x0b582716530b0b2cUL, 0x9d9cd327019d9d4eUL, 0x6c47c1d82b6c6cadUL,
979     0x3195f562a43131c4UL,
980     0x7487b9e8f37474cdUL,
981     0xf6e309f115f6f6ffUL, 0x460a438c4c464605UL, 0xac092645a5acac8aUL,
982     0x893c970fb589891eUL, 0x14a04428b4141450UL, 0xe15b42dfbae1e1a3UL,
983     0x16b04e2ca6161658UL, 0x3acdd274f73a3ae8UL, 0x696fd0d2066969b9UL,
984     0x09482d1241090924UL, 0x70a7ade0d77070ddUL, 0xb6d954716fb6b6e2UL,
985     0xd0ceb7bd1ed0d067UL,
986     0xed3b7ec7d6eded93UL,
987     0xcc2edb85e2cccc17UL, 0x422a578468424215UL, 0x98b4c22d2c98985aUL,
988     0xa4490e55eda4a4aaUL, 0x285d8850752828a0UL, 0x5cda31b8865c5c6dUL,
989     0xf8933fed6bf8f8c7UL, 0x8644a411c2868622UL,
990 ], [
991     0x6018c07830d81818UL, 0x8c2305af46262323UL, 0x3fc67ef991b8c6c6UL,
992     0x87e8136fcdfbe8e8UL, 0x26874ca113cb8787UL, 0xdab8a9626d11b8b8UL,
993     0x0401080502090101UL, 0x214f426e9e0d4f4fUL, 0xd836adee6c9b3636UL,
994     0xa2a6590451ffa6a6UL,
995     0x6fd2debdb90cd2d2UL, 0xf3f5fb06f70ef5f5UL, 0xf979ef80f2967979UL,
996     0xa16f5fcede306f6fUL, 0x7e91fcef3f6d9191UL, 0x5552aa07a4f85252UL,
997     0x9d6027fdc0476060UL, 0xcabc89766535bcbcUL, 0x569baccd2b379b9bUL,
998     0x028e048c018a8e8eUL, 0xb6a371155bd2a3a3UL, 0x300c603c186c0c0cUL,
999     0xf17bff8af6847b7bUL,
1000     0xd435b5e16a803535UL,
1001     0x741de8693af51d1dUL, 0xa7e05347ddb3e0e0UL, 0x7bd7f6acb321d7d7UL,
1002     0x2fc25eed999cc2c2UL, 0xb82e6d965c432e2eUL, 0x314b627a96294b4bUL,
1003     0xdffea321e15dfefeUL, 0x41578216aed55757UL, 0x5415a8412abd1515UL,
1004     0xc1779fb6eee87777UL, 0xdc37a5eb6e923737UL, 0xb3e57b56d79ee5e5UL,
1005     0x469f8cd923139f9fUL,
1006     0xe7f0d317fd23f0f0UL,
1007     0x354a6a7f94204a4aUL, 0x4fda9e95a944dadaUL, 0x7d58fa25b0a25858UL,
1008     0x03c906ca8fcfc9c9UL, 0xa429558d527c2929UL, 0x280a5022145a0a0aUL,
1009     0xfeb1e14f7f50b1b1UL, 0xbaa0691a5dc9a0a0UL, 0xb16b7fdad6146b6bUL,
1010     0x2e855cab17d98585UL, 0xcebd8173673cbdbdUL, 0x695dd234ba8f5d5dUL,
1011     0x4010805020901010UL,
1012     0xf7f4f303f507f4f4UL,
1013     0x0bcb16c08bddcbcbUL, 0xf83eedc67cd33e3eUL, 0x140528110a2d0505UL,
1014     0x81671fe6ce786767UL, 0xb7e47353d597e4e4UL, 0x9c2725bb4e022727UL,
1015     0x1941325882734141UL, 0x168b2c9d0ba78b8bUL, 0xa6a7510153f6a7a7UL,
1016     0xe97dcf94fab27d7dUL, 0x6e95dcfb37499595UL, 0x47d88e9fad56d8d8UL,
1017     0xcbfb8b30eb70fbfbUL,
1018     0x9fee2371c1cdeeeeUL,
1019     0xed7cc791f8bb7c7cUL, 0x856617e3cc716666UL, 0x53dda68ea77bddddUL,
1020     0x5c17b84b2eaf1717UL, 0x014702468e454747UL, 0x429e84dc211a9e9eUL,
1021     0x0fca1ec589d4cacaUL, 0xb42d75995a582d2dUL, 0xc6bf9179632ebfbfUL,
1022     0x1c07381b0e3f0707UL, 0x8ead012347acadadUL, 0x755aea2fb4b05a5aUL,
1023     0x36836cb51bef8383UL,
1024     0xcc3385ff66b63333UL,
1025     0x91633ff2c65c6363UL, 0x0802100a04120202UL, 0x92aa39384993aaaaUL,
1026     0xd971afa8e2de7171UL, 0x07c80ecf8dc6c8c8UL, 0x6419c87d32d11919UL,
1027     0x39497270923b4949UL, 0x43d9869aaf5fd9d9UL, 0xeff2c31df931f2f2UL,
1028     0xabe34b48dba8e3e3UL, 0x715be22ab6b95b5bUL, 0x1a8834920dbc8888UL,
1029     0x529aa4c8293e9a9aUL,
1030     0x98262dbe4c0b2626UL,
1031     0xc8328dfa64bf3232UL, 0xfab0e94a7d59b0b0UL, 0x83e91b6acff2e9e9UL,
1032     0x3c0f78331e770f0fUL, 0x73d5e6a6b733d5d5UL, 0x3a8074ba1df48080UL,
1033     0xc2be997c6127bebeUL, 0x13cd26de87ebcdcdUL, 0xd034bde468893434UL,
1034     0x3d487a7590324848UL, 0xdbffab24e354ffffUL, 0xf57af78ff48d7a7aUL,
1035     0x7a90f4ea3d649090UL,
1036     0x615fc23ebe9d5f5fUL,
1037     0x80201da0403d2020UL, 0xbd6867d5d00f6868UL, 0x681ad07234ca1a1aUL,
1038     0x82ae192c41b7aeaeUL, 0xeab4c95e757db4b4UL, 0x4d549a19a8ce5454UL,
1039     0x7693ece53b7f9393UL, 0x88220daa442f2222UL, 0x8d6407e9c8636464UL,
1040     0xe3f1db12ff2af1f1UL, 0xd173bfa2e6cc7373UL, 0x4812905a24821212UL,
1041     0x1d403a5d807a4040UL,
1042     0x2008402810480808UL,
1043     0x2bc356e89b95c3c3UL, 0x97ec337bc5dfececUL, 0x4bdb9690ab4ddbdbUL,
1044     0xbea1611f5fc0a1a1UL, 0x0e8d1c8307918d8dUL, 0xf43df5c97ac83d3dUL,
1045     0x6697ccf1335b9797UL, 0x0000000000000000UL, 0x1bcf36d483f9cfcfUL,
1046     0xac2b4587566e2b2bUL, 0xc57697b3ece17676UL, 0x328264b019e68282UL,
1047     0x7fd6fea9b128d6d6UL,
1048     0x6c1bd87736c31b1bUL,
1049     0xeeb5c15b7774b5b5UL, 0x86af112943beafafUL, 0xb56a77dfd41d6a6aUL,
1050     0x5d50ba0da0ea5050UL, 0x0945124c8a574545UL, 0xebf3cb18fb38f3f3UL,
1051     0xc0309df060ad3030UL, 0x9bef2b74c3c4efefUL, 0xfc3fe5c37eda3f3fUL,
1052     0x4955921caac75555UL, 0xb2a2791059dba2a2UL, 0x8fea0365c9e9eaeaUL,
1053     0x89650fecca6a6565UL,
1054     0xd2bab9686903babaUL,
1055     0xbc2f65935e4a2f2fUL, 0x27c04ee79d8ec0c0UL, 0x5fdebe81a160dedeUL,
1056     0x701ce06c38fc1c1cUL, 0xd3fdbb2ee746fdfdUL, 0x294d52649a1f4d4dUL,
1057     0x7292e4e039769292UL, 0xc9758fbceafa7575UL, 0x1806301e0c360606UL,
1058     0x128a249809ae8a8aUL, 0xf2b2f940794bb2b2UL, 0xbfe66359d185e6e6UL,
1059     0x380e70361c7e0e0eUL,
1060     0x7c1ff8633ee71f1fUL,
1061     0x956237f7c4556262UL, 0x77d4eea3b53ad4d4UL, 0x9aa829324d81a8a8UL,
1062     0x6296c4f431529696UL, 0xc3f99b3aef62f9f9UL, 0x33c566f697a3c5c5UL,
1063     0x942535b14a102525UL, 0x7959f220b2ab5959UL, 0x2a8454ae15d08484UL,
1064     0xd572b7a7e4c57272UL, 0xe439d5dd72ec3939UL, 0x2d4c5a6198164c4cUL,
1065     0x655eca3bbc945e5eUL,
1066     0xfd78e785f09f7878UL,
1067     0xe038ddd870e53838UL, 0x0a8c148605988c8cUL, 0x63d1c6b2bf17d1d1UL,
1068     0xaea5410b57e4a5a5UL, 0xafe2434dd9a1e2e2UL, 0x99612ff8c24e6161UL,
1069     0xf6b3f1457b42b3b3UL, 0x842115a542342121UL, 0x4a9c94d625089c9cUL,
1070     0x781ef0663cee1e1eUL, 0x1143225286614343UL, 0x3bc776fc93b1c7c7UL,
1071     0xd7fcb32be54ffcfcUL,
1072     0x1004201408240404UL,
1073     0x5951b208a2e35151UL, 0x5e99bcc72f259999UL, 0xa96d4fc4da226d6dUL,
1074     0x340d68391a650d0dUL, 0xcffa8335e979fafaUL, 0x5bdfb684a369dfdfUL,
1075     0xe57ed79bfca97e7eUL, 0x90243db448192424UL, 0xec3bc5d776fe3b3bUL,
1076     0x96ab313d4b9aababUL, 0x1fce3ed181f0ceceUL, 0x4411885522991111UL,
1077     0x068f0c8903838f8fUL,
1078     0x254e4a6b9c044e4eUL,
1079     0xe6b7d1517366b7b7UL, 0x8beb0b60cbe0ebebUL, 0xf03cfdcc78c13c3cUL,
1080     0x3e817cbf1ffd8181UL, 0x6a94d4fe35409494UL, 0xfbf7eb0cf31cf7f7UL,
1081     0xdeb9a1676f18b9b9UL, 0x4c13985f268b1313UL, 0xb02c7d9c58512c2cUL,
1082     0x6bd3d6b8bb05d3d3UL, 0xbbe76b5cd38ce7e7UL, 0xa56e57cbdc396e6eUL,
1083     0x37c46ef395aac4c4UL,
1084     0x0c03180f061b0303UL,
1085     0x45568a13acdc5656UL, 0x0d441a49885e4444UL, 0xe17fdf9efea07f7fUL,
1086     0x9ea921374f88a9a9UL, 0xa82a4d8254672a2aUL, 0xd6bbb16d6b0abbbbUL,
1087     0x23c146e29f87c1c1UL, 0x5153a202a6f15353UL, 0x57dcae8ba572dcdcUL,
1088     0x2c0b582716530b0bUL, 0x4e9d9cd327019d9dUL, 0xad6c47c1d82b6c6cUL,
1089     0xc43195f562a43131UL,
1090     0xcd7487b9e8f37474UL,
1091     0xfff6e309f115f6f6UL, 0x05460a438c4c4646UL, 0x8aac092645a5acacUL,
1092     0x1e893c970fb58989UL, 0x5014a04428b41414UL, 0xa3e15b42dfbae1e1UL,
1093     0x5816b04e2ca61616UL, 0xe83acdd274f73a3aUL, 0xb9696fd0d2066969UL,
1094     0x2409482d12410909UL, 0xdd70a7ade0d77070UL, 0xe2b6d954716fb6b6UL,
1095     0x67d0ceb7bd1ed0d0UL,
1096     0x93ed3b7ec7d6ededUL,
1097     0x17cc2edb85e2ccccUL, 0x15422a5784684242UL, 0x5a98b4c22d2c9898UL,
1098     0xaaa4490e55eda4a4UL, 0xa0285d8850752828UL, 0x6d5cda31b8865c5cUL,
1099     0xc7f8933fed6bf8f8UL, 0x228644a411c28686UL,
1100 ], [
1101     0x186018c07830d818UL, 0x238c2305af462623UL, 0xc63fc67ef991b8c6UL,
1102     0xe887e8136fcdfbe8UL, 0x8726874ca113cb87UL, 0xb8dab8a9626d11b8UL,
1103     0x0104010805020901UL, 0x4f214f426e9e0d4fUL, 0x36d836adee6c9b36UL,
1104     0xa6a2a6590451ffa6UL,
1105     0xd26fd2debdb90cd2UL, 0xf5f3f5fb06f70ef5UL, 0x79f979ef80f29679UL,
1106     0x6fa16f5fcede306fUL, 0x917e91fcef3f6d91UL, 0x525552aa07a4f852UL,
1107     0x609d6027fdc04760UL, 0xbccabc89766535bcUL, 0x9b569baccd2b379bUL,
1108     0x8e028e048c018a8eUL, 0xa3b6a371155bd2a3UL, 0x0c300c603c186c0cUL,
1109     0x7bf17bff8af6847bUL,
1110     0x35d435b5e16a8035UL,
1111     0x1d741de8693af51dUL, 0xe0a7e05347ddb3e0UL, 0xd77bd7f6acb321d7UL,
1112     0xc22fc25eed999cc2UL, 0x2eb82e6d965c432eUL, 0x4b314b627a96294bUL,
1113     0xfedffea321e15dfeUL, 0x5741578216aed557UL, 0x155415a8412abd15UL,
1114     0x77c1779fb6eee877UL, 0x37dc37a5eb6e9237UL, 0xe5b3e57b56d79ee5UL,
1115     0x9f469f8cd923139fUL,
1116     0xf0e7f0d317fd23f0UL,
1117     0x4a354a6a7f94204aUL, 0xda4fda9e95a944daUL, 0x587d58fa25b0a258UL,
1118     0xc903c906ca8fcfc9UL, 0x29a429558d527c29UL, 0x0a280a5022145a0aUL,
1119     0xb1feb1e14f7f50b1UL, 0xa0baa0691a5dc9a0UL, 0x6bb16b7fdad6146bUL,
1120     0x852e855cab17d985UL, 0xbdcebd8173673cbdUL, 0x5d695dd234ba8f5dUL,
1121     0x1040108050209010UL,
1122     0xf4f7f4f303f507f4UL,
1123     0xcb0bcb16c08bddcbUL, 0x3ef83eedc67cd33eUL, 0x05140528110a2d05UL,
1124     0x6781671fe6ce7867UL, 0xe4b7e47353d597e4UL, 0x279c2725bb4e0227UL,
1125     0x4119413258827341UL, 0x8b168b2c9d0ba78bUL, 0xa7a6a7510153f6a7UL,
1126     0x7de97dcf94fab27dUL, 0x956e95dcfb374995UL, 0xd847d88e9fad56d8UL,
1127     0xfbcbfb8b30eb70fbUL,
1128     0xee9fee2371c1cdeeUL,
1129     0x7ced7cc791f8bb7cUL, 0x66856617e3cc7166UL, 0xdd53dda68ea77bddUL,
1130     0x175c17b84b2eaf17UL, 0x47014702468e4547UL, 0x9e429e84dc211a9eUL,
1131     0xca0fca1ec589d4caUL, 0x2db42d75995a582dUL, 0xbfc6bf9179632ebfUL,
1132     0x071c07381b0e3f07UL, 0xad8ead012347acadUL, 0x5a755aea2fb4b05aUL,
1133     0x8336836cb51bef83UL,
1134     0x33cc3385ff66b633UL,
1135     0x6391633ff2c65c63UL, 0x020802100a041202UL, 0xaa92aa39384993aaUL,
1136     0x71d971afa8e2de71UL, 0xc807c80ecf8dc6c8UL, 0x196419c87d32d119UL,
1137     0x4939497270923b49UL, 0xd943d9869aaf5fd9UL, 0xf2eff2c31df931f2UL,
1138     0xe3abe34b48dba8e3UL, 0x5b715be22ab6b95bUL, 0x881a8834920dbc88UL,
1139     0x9a529aa4c8293e9aUL,
1140     0x2698262dbe4c0b26UL,
1141     0x32c8328dfa64bf32UL, 0xb0fab0e94a7d59b0UL, 0xe983e91b6acff2e9UL,
1142     0x0f3c0f78331e770fUL, 0xd573d5e6a6b733d5UL, 0x803a8074ba1df480UL,
1143     0xbec2be997c6127beUL, 0xcd13cd26de87ebcdUL, 0x34d034bde4688934UL,
1144     0x483d487a75903248UL, 0xffdbffab24e354ffUL, 0x7af57af78ff48d7aUL,
1145     0x907a90f4ea3d6490UL,
1146     0x5f615fc23ebe9d5fUL,
1147     0x2080201da0403d20UL, 0x68bd6867d5d00f68UL, 0x1a681ad07234ca1aUL,
1148     0xae82ae192c41b7aeUL, 0xb4eab4c95e757db4UL, 0x544d549a19a8ce54UL,
1149     0x937693ece53b7f93UL, 0x2288220daa442f22UL, 0x648d6407e9c86364UL,
1150     0xf1e3f1db12ff2af1UL, 0x73d173bfa2e6cc73UL, 0x124812905a248212UL,
1151     0x401d403a5d807a40UL,
1152     0x0820084028104808UL,
1153     0xc32bc356e89b95c3UL, 0xec97ec337bc5dfecUL, 0xdb4bdb9690ab4ddbUL,
1154     0xa1bea1611f5fc0a1UL, 0x8d0e8d1c8307918dUL, 0x3df43df5c97ac83dUL,
1155     0x976697ccf1335b97UL, 0x0000000000000000UL, 0xcf1bcf36d483f9cfUL,
1156     0x2bac2b4587566e2bUL, 0x76c57697b3ece176UL, 0x82328264b019e682UL,
1157     0xd67fd6fea9b128d6UL,
1158     0x1b6c1bd87736c31bUL,
1159     0xb5eeb5c15b7774b5UL, 0xaf86af112943beafUL, 0x6ab56a77dfd41d6aUL,
1160     0x505d50ba0da0ea50UL, 0x450945124c8a5745UL, 0xf3ebf3cb18fb38f3UL,
1161     0x30c0309df060ad30UL, 0xef9bef2b74c3c4efUL, 0x3ffc3fe5c37eda3fUL,
1162     0x554955921caac755UL, 0xa2b2a2791059dba2UL, 0xea8fea0365c9e9eaUL,
1163     0x6589650fecca6a65UL,
1164     0xbad2bab9686903baUL,
1165     0x2fbc2f65935e4a2fUL, 0xc027c04ee79d8ec0UL, 0xde5fdebe81a160deUL,
1166     0x1c701ce06c38fc1cUL, 0xfdd3fdbb2ee746fdUL, 0x4d294d52649a1f4dUL,
1167     0x927292e4e0397692UL, 0x75c9758fbceafa75UL, 0x061806301e0c3606UL,
1168     0x8a128a249809ae8aUL, 0xb2f2b2f940794bb2UL, 0xe6bfe66359d185e6UL,
1169     0x0e380e70361c7e0eUL,
1170     0x1f7c1ff8633ee71fUL,
1171     0x62956237f7c45562UL, 0xd477d4eea3b53ad4UL, 0xa89aa829324d81a8UL,
1172     0x966296c4f4315296UL, 0xf9c3f99b3aef62f9UL, 0xc533c566f697a3c5UL,
1173     0x25942535b14a1025UL, 0x597959f220b2ab59UL, 0x842a8454ae15d084UL,
1174     0x72d572b7a7e4c572UL, 0x39e439d5dd72ec39UL, 0x4c2d4c5a6198164cUL,
1175     0x5e655eca3bbc945eUL,
1176     0x78fd78e785f09f78UL,
1177     0x38e038ddd870e538UL, 0x8c0a8c148605988cUL, 0xd163d1c6b2bf17d1UL,
1178     0xa5aea5410b57e4a5UL, 0xe2afe2434dd9a1e2UL, 0x6199612ff8c24e61UL,
1179     0xb3f6b3f1457b42b3UL, 0x21842115a5423421UL, 0x9c4a9c94d625089cUL,
1180     0x1e781ef0663cee1eUL, 0x4311432252866143UL, 0xc73bc776fc93b1c7UL,
1181     0xfcd7fcb32be54ffcUL,
1182     0x0410042014082404UL,
1183     0x515951b208a2e351UL, 0x995e99bcc72f2599UL, 0x6da96d4fc4da226dUL,
1184     0x0d340d68391a650dUL, 0xfacffa8335e979faUL, 0xdf5bdfb684a369dfUL,
1185     0x7ee57ed79bfca97eUL, 0x2490243db4481924UL, 0x3bec3bc5d776fe3bUL,
1186     0xab96ab313d4b9aabUL, 0xce1fce3ed181f0ceUL, 0x1144118855229911UL,
1187     0x8f068f0c8903838fUL,
1188     0x4e254e4a6b9c044eUL,
1189     0xb7e6b7d1517366b7UL, 0xeb8beb0b60cbe0ebUL, 0x3cf03cfdcc78c13cUL,
1190     0x813e817cbf1ffd81UL, 0x946a94d4fe354094UL, 0xf7fbf7eb0cf31cf7UL,
1191     0xb9deb9a1676f18b9UL, 0x134c13985f268b13UL, 0x2cb02c7d9c58512cUL,
1192     0xd36bd3d6b8bb05d3UL, 0xe7bbe76b5cd38ce7UL, 0x6ea56e57cbdc396eUL,
1193     0xc437c46ef395aac4UL,
1194     0x030c03180f061b03UL,
1195     0x5645568a13acdc56UL, 0x440d441a49885e44UL, 0x7fe17fdf9efea07fUL,
1196     0xa99ea921374f88a9UL, 0x2aa82a4d8254672aUL, 0xbbd6bbb16d6b0abbUL,
1197     0xc123c146e29f87c1UL, 0x535153a202a6f153UL, 0xdc57dcae8ba572dcUL,
1198     0x0b2c0b582716530bUL, 0x9d4e9d9cd327019dUL, 0x6cad6c47c1d82b6cUL,
1199     0x31c43195f562a431UL,
1200     0x74cd7487b9e8f374UL,
1201     0xf6fff6e309f115f6UL, 0x4605460a438c4c46UL, 0xac8aac092645a5acUL,
1202     0x891e893c970fb589UL, 0x145014a04428b414UL, 0xe1a3e15b42dfbae1UL,
1203     0x165816b04e2ca616UL, 0x3ae83acdd274f73aUL, 0x69b9696fd0d20669UL,
1204     0x092409482d124109UL, 0x70dd70a7ade0d770UL, 0xb6e2b6d954716fb6UL,
1205     0xd067d0ceb7bd1ed0UL,
1206     0xed93ed3b7ec7d6edUL,
1207     0xcc17cc2edb85e2ccUL, 0x4215422a57846842UL, 0x985a98b4c22d2c98UL,
1208     0xa4aaa4490e55eda4UL, 0x28a0285d88507528UL, 0x5c6d5cda31b8865cUL,
1209     0xf8c7f8933fed6bf8UL, 0x86228644a411c286UL,
1210 ]];
1211 
1212 immutable ulong[numRounds] rc = [
1213     0x1823c6e887b8014fUL, 0x36a6d2f5796f9152UL, 0x60bc9b8ea30c7b35UL,
1214     0x1de0d7c22e4bfe57UL, 0x157737e59ff04adaUL, 0x58c9290ab1a06b85UL,
1215     0xbd5d10f4cb3e0567UL, 0xe427418ba77d95d8UL, 0xfbee7c66dd17479eUL, 0xca2dbf07ad5a8333UL,
1216 ];
1217 
1218 // precomputed K[] based on the initial state
1219 immutable ulong[8][numRounds] pcK = [
1220     [
1221     0x300BEEC0AF902967, 0x2828282828282828, 0x2828282828282828, 0x2828282828282828,
1222     0x2828282828282828, 0x2828282828282828, 0x2828282828282828, 0x2828282828282828
1223 ], [
1224     0x3BAB89F8EAD1AE24, 0x4445456645E9CBAF, 0x70FEA4A4C5A4B289, 0xC5FAA9E1E1CCE1A0,
1225     0x48ACC05CFCFCB8FC, 0x8FF70E26908F8F69, 0x96791407D7857979, 0xF8A8F868B8C878F8
1226 ], [
1227     0xD319BFDB30467058, 0x295B23D1AFCF37DB, 0x12C8AC28B95AC98, 0x81639EB1C0B206A7,
1228     0x445E607AB0B209DB, 0x735B2CCFBC8CBC71, 0xDC670924EFEDDDD3, 0x7B8D3BF0D73B7D19
1229 ], [
1230     0x38BEAAC1DE116586, 0x687CF3D04A87337F, 0xF337FADB98ADF057, 0xC5E24258EE358DBC,
1231     0x1109F0E8996E247E, 0x1C5D6ED10B03401, 0xFBC952F17B28ECD3, 0x3256DC0CC7F12740
1232 ], [
1233     0xAF25A520949BCF14, 0xC13626A9E3C4534D, 0xE60F7D867740F9E1, 0x915DE6BBE26A0629,
1234     0x965A54CC4CFE5E8D, 0xBEE931CB62323AA6, 0xB17B591896846A47, 0xD4F0C9362759AF31
1235 ], [
1236     0xE2F9B5C025370BB0, 0x392BCBA2168494A5, 0x608AF8CEFA348C14, 0x7AA53764418C9219,
1237     0xB3F346A1FA833F89, 0x97493F487802CF7C, 0xDCADE8BA1E008F23, 0x92774F49EDB0323D
1238 ], [
1239     0x75416382774DFF2F, 0xFFFA38D055034600, 0xBF7D02493E98F361, 0xF4A860C29AE5CE0B,
1240     0xC8DF5A44EE5D9D27, 0x23F45A55047500A4, 0xB016101202F9E28C, 0xAC30CD296833331D
1241 ], [
1242     0x36BF1826884AD89, 0x9940C662D8467163, 0x4C433E174B19C210, 0xE29CCFD34CFF86C5,
1243     0x21FF11A042DF2653, 0x1B8E00CB6CE44B13, 0xA6123BF7A347B7CE, 0xD918900E3B2833CA
1244 ], [
1245     0xD01C677A0A9A2CF9, 0x2A942F534A63B6B2, 0x88422246FEACA8B4, 0x474A5CC73D583559,
1246     0x74A6925DA55C6FA1, 0x7717E68CC4735C39, 0x82A3B0B53EC1AC6, 0x2AF658EB814DE762
1247 ], [
1248     0x489548B601EEBC3A, 0xA50D6BC66BED8E81, 0xE0CE3DCF88265A75, 0xC28C4ADBC0F69CE9,
1249     0x54B79CD57F718513, 0x43414B8A977D0B7B, 0x631935BBDBF6157A, 0x6A7A4EF637018227
1250 ],];
1251 
1252 version(unittest)
1253 {
1254     import std.conv : hexString;
1255 }