diff options
author | Paul Eggert <eggert@cs.ucla.edu> | 2012-11-12 08:32:04 -0800 |
---|---|---|
committer | Paul Eggert <eggert@cs.ucla.edu> | 2012-11-12 08:32:31 -0800 |
commit | f16e251dae43117c2cd19359c26ce7b5e05165b6 (patch) | |
tree | 7232d39cb3dba3f89480d3aac383b73779826aba | |
parent | 0d664d227cadb8cf4892e70954cd6c616192c0f8 (diff) | |
download | coreutils-f16e251dae43117c2cd19359c26ce7b5e05165b6.tar.xz |
factor: maintainer builds primes.h, not builder
With this change, the maintainer builds primes.h and it is part of
the tarball. primes.h's contents are not architecture-specific.
* .gitignore: Remove /src/primes.h.
* src/factor.c: Include verify.h.
(W): New constant. Verify that uintmax_t lacks holes
and that W is no wider than the integers used to generate primes.h.
* src/local.mk (EXTRA_DIST): Add src/primes.h.
(BUILT_SOURCES, CLEANFILES): Remove src/primes.h.
($(top_srcdir)/src/primes.h): Rename from src/primes.h.
Do not depend on src/make-prime-list. Instead, use sub-make to
build, so that we build primes.h only if it does not exist.
* src/make-prime-list.c: Include <limits.h>, for ULONG_MAX.
(wide_uint): Define to uintmax_t or unsigned __int128 if not #defined.
(struct prime, binvert, process_prime): Use it instead of uintmax_t.
(print_wide_uint): New function. This generates the proper pinv
value regardless of the width of uintmax_t on the target, so long
as the width doesn't exceed that of the width of wide_uint on the
maintainer host that generated src/primes.h.
(output_primes): Use it. Output WIDE_UINT_BITS, too. Let the
target compute its own lim, since its uintmax_t may be narrower
than ours.
(SZ): Remove.
* src/primes.h: New file, generated with 128-bit integers and usable
on any host where uintmax_t's width is no greater than 128 bits.
-rw-r--r-- | .gitignore | 1 | ||||
-rw-r--r-- | src/factor.c | 11 | ||||
-rw-r--r-- | src/local.mk | 12 | ||||
-rw-r--r-- | src/make-prime-list.c | 98 | ||||
-rw-r--r-- | src/primes.h | 2010 |
5 files changed, 2096 insertions, 36 deletions
diff --git a/.gitignore b/.gitignore index 5ce236149..2ac6e459c 100644 --- a/.gitignore +++ b/.gitignore @@ -154,7 +154,6 @@ /po/stamp-po /src/cu-progs.mk /src/make-prime-list -/src/primes.h /src/version.c /src/version.h /stamp-h1 diff --git a/src/factor.c b/src/factor.c index 1d667175a..45f00bb05 100644 --- a/src/factor.c +++ b/src/factor.c @@ -101,6 +101,7 @@ #include "quote.h" #include "readtokens.h" #include "xstrtol.h" +#include "verify.h" /* The official name of this program (e.g., no 'g' prefix). */ #define PROGRAM_NAME "factor" @@ -639,6 +640,12 @@ mp_factor_insert_ui (struct mp_factors *factors, unsigned long int prime) #endif /* HAVE_GMP */ +/* Number of bits in an uintmax_t. */ +enum { W = sizeof (uintmax_t) * CHAR_BIT }; + +/* Verify that uintmax_t does not have holes in its representation. */ +verify (UINTMAX_MAX >> (W - 1) == 1); + #define P(a,b,c,d) a, static const unsigned char primes_diff[] = { #include "primes.h" @@ -668,6 +675,10 @@ static const struct primes_dtab primes_dtab[] = { }; #undef P +/* Verify that uintmax_t is not wider than + the integers used to generate primes.h. */ +verify (W <= WIDE_UINT_BITS); + /* This flag is honored only in the GMP code. */ static int verbose = 0; diff --git a/src/local.mk b/src/local.mk index f40f68175..02a9bf55d 100644 --- a/src/local.mk +++ b/src/local.mk @@ -62,6 +62,7 @@ noinst_HEADERS = \ EXTRA_DIST += \ src/dcgen \ src/dircolors.hin \ + src/primes.h \ src/tac-pipe.c \ src/extract-magic \ src/c99-to-c89.diff @@ -379,9 +380,14 @@ src/dircolors.h: src/dcgen src/dircolors.hin $(AM_V_at)chmod a-w $@-t $(AM_V_at)mv $@-t $@ -BUILT_SOURCES += src/primes.h -CLEANFILES += src/primes.h -src/primes.h: src/make-prime-list +# This file is built by maintainers. It's architecture-independent, +# and it needs to be built on a widest-known-int architecture, so it's +# built only if absent. It is not cleaned because we don't want to +# insist that maintainers must build on hosts that support the widest +# known ints (currently 128-bit). +MAINTAINERCLEANFILES += $(top_srcdir)/src/primes.h +$(top_srcdir)/src/primes.h: + $(MAKE) src/make-prime-list $(AM_V_GEN)rm -f $@ $@-t $(AM_V_at)src/make-prime-list 5000 > $@-t $(AM_V_at)chmod a-w $@-t diff --git a/src/make-prime-list.c b/src/make-prime-list.c index 24a7cdace..ab0352ea7 100644 --- a/src/make-prime-list.c +++ b/src/make-prime-list.c @@ -19,6 +19,7 @@ this program. If not, see http://www.gnu.org/licenses/. */ #include <config.h> +#include <limits.h> #include <stdint.h> #include <inttypes.h> #include <stdio.h> @@ -31,20 +32,34 @@ this program. If not, see http://www.gnu.org/licenses/. */ #undef malloc #undef strerror +/* An unsigned type that is no narrower than 32 bits and no narrower + than unsigned int. It's best to make it as wide as possible. + For GCC 4.6 and later, use a heuristic to guess whether unsigned + __int128 works on your platform. If this heuristic does not work + for you, please report a bug; in the meantime compile with, e.g., + -Dwide_uint='unsigned __int128' to override the heuristic. */ +#ifndef wide_uint +# if 4 < __GNUC__ + (6 <= __GNUC_MINOR__) && ULONG_MAX >> 31 >> 31 >> 1 != 0 +typedef unsigned __int128 wide_uint; +# else +typedef uintmax_t wide_uint; +# endif +#endif + struct prime { unsigned p; - uintmax_t pinv; /* Inverse mod b = 2^{bitsize of uintmax_t} */ - uintmax_t lim; /* floor(UINTMAX_MAX / p) */ + wide_uint pinv; /* Inverse mod b = 2^{bitsize of wide_uint} */ + wide_uint lim; /* floor ((wide_uint) -1 / p) */ }; -static uintmax_t _GL_ATTRIBUTE_CONST -binvert (uintmax_t a) +static wide_uint _GL_ATTRIBUTE_CONST +binvert (wide_uint a) { - uintmax_t x = 0xf5397db1 >> (4*((a/2) & 0x7)); + wide_uint x = 0xf5397db1 >> (4*((a/2) & 0x7)); for (;;) { - uintmax_t y = 2*x - x*x*a; + wide_uint y = 2*x - x*x*a; if (y == x) return x; x = y; @@ -54,9 +69,39 @@ binvert (uintmax_t a) static void process_prime (struct prime *info, unsigned p) { + wide_uint max = -1; info->p = p; info->pinv = binvert (p); - info->lim = UINTMAX_MAX / (uintmax_t) p; + info->lim = max / p; +} + +static void +print_wide_uint (wide_uint n, int nested, unsigned wide_uint_bits) +{ + /* Number of bits per integer literal. 8 is too many, because + uintmax_t is 32 bits on some machines so we cannot shift by 32 bits. + So use 7. */ + int hex_digits_per_literal = 7; + int bits_per_literal = hex_digits_per_literal * 4; + + unsigned remainder = n & ((1 << bits_per_literal) - 1); + + if (n != remainder) + { + int needs_parentheses = n >> bits_per_literal >> bits_per_literal != 0; + if (needs_parentheses) + printf ("("); + print_wide_uint (n >> bits_per_literal, 1, wide_uint_bits); + printf (") << %d | " + !needs_parentheses, bits_per_literal); + } + else if (nested) + { + printf ("(uintmax_t) "); + hex_digits_per_literal + = ((wide_uint_bits - 1) % bits_per_literal) % 4 + 1; + } + + printf ("0x%0*xU", hex_digits_per_literal, remainder); } static void @@ -65,37 +110,26 @@ output_primes (const struct prime *primes, unsigned nprimes) unsigned i; unsigned p; int is_prime; - const char *suffix; - puts ("/* Generated file -- DO NOT EDIT */\n"); + /* Compute wide_uint_bits by repeated shifting, rather than by + multiplying sizeof by CHAR_BIT, as this works even if the + wide_uint representation has holes. */ + unsigned wide_uint_bits = 0; + wide_uint mask = -1; + for (wide_uint_bits = 0; mask; wide_uint_bits++) + mask >>= 1; - if (sizeof (uintmax_t) <= sizeof (unsigned long)) - suffix = "UL"; - else if (sizeof (uintmax_t) <= sizeof (unsigned long long)) - suffix = "ULL"; - else - { - fprintf (stderr, "Don't know how to write uintmax_t constants.\n"); - exit (EXIT_FAILURE); - } - -#if UINTMAX_MAX == UINT32_MAX -# define SZ "8" /* 8 hex digits. */ -#elif UINTMAX_MAX == UINT64_MAX -# define SZ "16" /* 16 hex digits. */ -#elif UINTMAX_MAX == UINT128_MAX -# define SZ "32" /* 32 hex digits. */ -#endif + puts ("/* Generated file -- DO NOT EDIT */\n"); + printf ("#define WIDE_UINT_BITS %u\n", wide_uint_bits); for (i = 0, p = 2; i < nprimes; i++) { unsigned int d8 = i + 8 < nprimes ? primes[i + 8].p - primes[i].p : 0xff; if (255 < d8) /* this happens at 668221 */ abort (); - printf ("P (%2u, %3u, 0x%0"SZ PRIxMAX"%s, 0x%0"SZ PRIxMAX"%s) /* %d */\n", - primes[i].p - p, d8, - primes[i].pinv, suffix, - primes[i].lim, suffix, primes[i].p); + printf ("P (%u, %u,\n ", primes[i].p - p, d8); + print_wide_uint (primes[i].pinv, 0, wide_uint_bits); + printf (",\n UINTMAX_MAX / %d)\n", primes[i].p); p = primes[i].p; } @@ -109,7 +143,7 @@ output_primes (const struct prime *primes, unsigned nprimes) { if (primes[i].p * primes[i].p > p) break; - if ( (uintmax_t) p * primes[i].pinv <= primes[i].lim) + if (p * primes[i].pinv <= primes[i].lim) { is_prime = 0; break; @@ -118,7 +152,7 @@ output_primes (const struct prime *primes, unsigned nprimes) } while (!is_prime); - printf ("#define FIRST_OMITTED_PRIME %d\n", p); + printf ("#define FIRST_OMITTED_PRIME %u\n", p); } static void * diff --git a/src/primes.h b/src/primes.h new file mode 100644 index 000000000..a47d5ce62 --- /dev/null +++ b/src/primes.h @@ -0,0 +1,2010 @@ +/* Generated file -- DO NOT EDIT */ + +#define WIDE_UINT_BITS 128 +P (1, 26, + ((((uintmax_t) 0xaaaaU << 28 | 0xaaaaaaaU) << 28 | 0xaaaaaaaU) << 28 | 0xaaaaaaaU) << 28 | 0xaaaaaabU, + UINTMAX_MAX / 3) +P (2, 26, + ((((uintmax_t) 0xccccU << 28 | 0xcccccccU) << 28 | 0xcccccccU) << 28 | 0xcccccccU) << 28 | 0xccccccdU, + UINTMAX_MAX / 5) +P (2, 30, + ((((uintmax_t) 0xb6dbU << 28 | 0x6db6db6U) << 28 | 0xdb6db6dU) << 28 | 0xb6db6dbU) << 28 | 0x6db6db7U, + UINTMAX_MAX / 7) +P (4, 30, + ((((uintmax_t) 0xa2e8U << 28 | 0xba2e8baU) << 28 | 0x2e8ba2eU) << 28 | 0x8ba2e8bU) << 28 | 0xa2e8ba3U, + UINTMAX_MAX / 11) +P (2, 30, + ((((uintmax_t) 0xc4ecU << 28 | 0x4ec4ec4U) << 28 | 0xec4ec4eU) << 28 | 0xc4ec4ecU) << 28 | 0x4ec4ec5U, + UINTMAX_MAX / 13) +P (4, 30, + ((((uintmax_t) 0xf0f0U << 28 | 0xf0f0f0fU) << 28 | 0x0f0f0f0U) << 28 | 0xf0f0f0fU) << 28 | 0x0f0f0f1U, + UINTMAX_MAX / 17) +P (2, 34, + ((((uintmax_t) 0xbca1U << 28 | 0xaf286bcU) << 28 | 0xa1af286U) << 28 | 0xbca1af2U) << 28 | 0x86bca1bU, + UINTMAX_MAX / 19) +P (4, 36, + ((((uintmax_t) 0x4de9U << 28 | 0xbd37a6fU) << 28 | 0x4de9bd3U) << 28 | 0x7a6f4deU) << 28 | 0x9bd37a7U, + UINTMAX_MAX / 23) +P (6, 32, + ((((uintmax_t) 0xc234U << 28 | 0xf72c234U) << 28 | 0xf72c234U) << 28 | 0xf72c234U) << 28 | 0xf72c235U, + UINTMAX_MAX / 29) +P (2, 36, + ((((uintmax_t) 0xdef7U << 28 | 0xbdef7bdU) << 28 | 0xef7bdefU) << 28 | 0x7bdef7bU) << 28 | 0xdef7bdfU, + UINTMAX_MAX / 31) +P (6, 34, + ((((uintmax_t) 0xc1baU << 28 | 0xcf914c1U) << 28 | 0xbacf914U) << 28 | 0xc1bacf9U) << 28 | 0x14c1badU, + UINTMAX_MAX / 37) +P (4, 32, + ((((uintmax_t) 0x18f9U << 28 | 0xc18f9c1U) << 28 | 0x8f9c18fU) << 28 | 0x9c18f9cU) << 28 | 0x18f9c19U, + UINTMAX_MAX / 41) +P (2, 36, + ((((uintmax_t) 0xbe82U << 28 | 0xfa0be82U) << 28 | 0xfa0be82U) << 28 | 0xfa0be82U) << 28 | 0xfa0be83U, + UINTMAX_MAX / 43) +P (4, 36, + ((((uintmax_t) 0x3677U << 28 | 0xd46cefaU) << 28 | 0x8d9df51U) << 28 | 0xb3bea36U) << 28 | 0x77d46cfU, + UINTMAX_MAX / 47) +P (6, 36, + ((((uintmax_t) 0x1352U << 28 | 0x1cfb2b7U) << 28 | 0x8c13521U) << 28 | 0xcfb2b78U) << 28 | 0xc13521dU, + UINTMAX_MAX / 53) +P (6, 38, + ((((uintmax_t) 0x8f2fU << 28 | 0xba93868U) << 28 | 0x22b63cbU) << 28 | 0xeea4e1aU) << 28 | 0x08ad8f3U, + UINTMAX_MAX / 59) +P (2, 40, + ((((uintmax_t) 0x14fbU << 28 | 0xcda3ac1U) << 28 | 0x0c9714fU) << 28 | 0xbcda3acU) << 28 | 0x10c9715U, + UINTMAX_MAX / 61) +P (6, 36, + ((((uintmax_t) 0xc2ddU << 28 | 0x9ca81e9U) << 28 | 0x131abf0U) << 28 | 0xb7672a0U) << 28 | 0x7a44c6bU, + UINTMAX_MAX / 67) +P (4, 36, + ((((uintmax_t) 0x4f52U << 28 | 0xedf8c9eU) << 28 | 0xa5dbf19U) << 28 | 0x3d4bb7eU) << 28 | 0x327a977U, + UINTMAX_MAX / 71) +P (2, 36, + ((((uintmax_t) 0x3f1fU << 28 | 0x8fc7e3fU) << 28 | 0x1f8fc7eU) << 28 | 0x3f1f8fcU) << 28 | 0x7e3f1f9U, + UINTMAX_MAX / 73) +P (6, 34, + ((((uintmax_t) 0xd5dfU << 28 | 0x984dc5aU) << 28 | 0xbbf309bU) << 28 | 0x8b577e6U) << 28 | 0x13716afU, + UINTMAX_MAX / 79) +P (4, 44, + ((((uintmax_t) 0x2818U << 28 | 0xacb90f6U) << 28 | 0xbf3a9a3U) << 28 | 0x784a062U) << 28 | 0xb2e43dbU, + UINTMAX_MAX / 83) +P (6, 42, + ((((uintmax_t) 0xd1faU << 28 | 0x3f47e8fU) << 28 | 0xd1fa3f4U) << 28 | 0x7e8fd1fU) << 28 | 0xa3f47e9U, + UINTMAX_MAX / 89) +P (8, 40, + ((((uintmax_t) 0x5f02U << 28 | 0xa3a0fd5U) << 28 | 0xc5f02a3U) << 28 | 0xa0fd5c5U) << 28 | 0xf02a3a1U, + UINTMAX_MAX / 97) +P (4, 38, + ((((uintmax_t) 0xc32bU << 28 | 0x16cfd77U) << 28 | 0x20f353aU) << 28 | 0x4c0a237U) << 28 | 0xc32b16dU, + UINTMAX_MAX / 101) +P (2, 46, + ((((uintmax_t) 0xd0c6U << 28 | 0xd5bf60eU) << 28 | 0xe9a18daU) << 28 | 0xb7ec1ddU) << 28 | 0x3431b57U, + UINTMAX_MAX / 103) +P (4, 44, + ((((uintmax_t) 0xa2b1U << 28 | 0x0bf66e0U) << 28 | 0xe5aea77U) << 28 | 0xa04c8f8U) << 28 | 0xd28ac43U, + UINTMAX_MAX / 107) +P (2, 48, + ((((uintmax_t) 0xc096U << 28 | 0x4fda6c0U) << 28 | 0x964fda6U) << 28 | 0xc0964fdU) << 28 | 0xa6c0965U, + UINTMAX_MAX / 109) +P (4, 50, + ((((uintmax_t) 0xc090U << 28 | 0xfdbc090U) << 28 | 0xfdbc090U) << 28 | 0xfdbc090U) << 28 | 0xfdbc091U, + UINTMAX_MAX / 113) +P (14, 40, + ((((uintmax_t) 0xbf7eU << 28 | 0xfdfbf7eU) << 28 | 0xfdfbf7eU) << 28 | 0xfdfbf7eU) << 28 | 0xfdfbf7fU, + UINTMAX_MAX / 127) +P (4, 42, + ((((uintmax_t) 0xf82eU << 28 | 0xe6986d6U) << 28 | 0xf63aa03U) << 28 | 0xe88cb3cU) << 28 | 0x9484e2bU, + UINTMAX_MAX / 131) +P (6, 42, + ((((uintmax_t) 0x21a2U << 28 | 0x91c0779U) << 28 | 0x75b8fe2U) << 28 | 0x1a291c0U) << 28 | 0x77975b9U, + UINTMAX_MAX / 137) +P (2, 42, + ((((uintmax_t) 0xa212U << 28 | 0x6ad1f4fU) << 28 | 0x31ba03aU) << 28 | 0xef6ca97U) << 28 | 0x0586723U, + UINTMAX_MAX / 139) +P (10, 42, + ((((uintmax_t) 0x93c2U << 28 | 0x25cc74dU) << 28 | 0x50c06dfU) << 28 | 0x5b0f768U) << 28 | 0xce2cabdU, + UINTMAX_MAX / 149) +P (2, 42, + ((((uintmax_t) 0x26feU << 28 | 0x4dfc9bfU) << 28 | 0x937f26fU) << 28 | 0xe4dfc9bU) << 28 | 0xf937f27U, + UINTMAX_MAX / 151) +P (6, 40, + ((((uintmax_t) 0x0685U << 28 | 0xb4fe5e9U) << 28 | 0x2c0685bU) << 28 | 0x4fe5e92U) << 28 | 0xc0685b5U, + UINTMAX_MAX / 157) +P (6, 36, + ((((uintmax_t) 0x8bc7U << 28 | 0x75ca99eU) << 28 | 0xa03241fU) << 28 | 0x693a1c4U) << 28 | 0x51ab30bU, + UINTMAX_MAX / 163) +P (4, 44, + ((((uintmax_t) 0x513eU << 28 | 0xd9ad38bU) << 28 | 0x7f3bc8dU) << 28 | 0x07aa27dU) << 28 | 0xb35a717U, + UINTMAX_MAX / 167) +P (6, 50, + ((((uintmax_t) 0x133cU << 28 | 0xaba736cU) << 28 | 0x05eb488U) << 28 | 0x2383b30U) << 28 | 0xd516325U, + UINTMAX_MAX / 173) +P (6, 48, + ((((uintmax_t) 0x0e4dU << 28 | 0x3aa30a0U) << 28 | 0x2dc3eedU) << 28 | 0x6866f8dU) << 28 | 0x962ae7bU, + UINTMAX_MAX / 179) +P (2, 48, + ((((uintmax_t) 0x6fbcU << 28 | 0x1c498c0U) << 28 | 0x5a84f34U) << 28 | 0x54dca41U) << 28 | 0x0f8ed9dU, + UINTMAX_MAX / 181) +P (10, 42, + ((((uintmax_t) 0x7749U << 28 | 0xb79f7f5U) << 28 | 0x470961dU) << 28 | 0x7ca632eU) << 28 | 0xe936f3fU, + UINTMAX_MAX / 191) +P (2, 46, + ((((uintmax_t) 0x9094U << 28 | 0x8f40feaU) << 28 | 0xc6f6b70U) << 28 | 0xbf01539U) << 28 | 0x0948f41U, + UINTMAX_MAX / 193) +P (4, 44, + ((((uintmax_t) 0x0bb2U << 28 | 0x07cc053U) << 28 | 0x2ae21c9U) << 28 | 0x6bdb9d3U) << 28 | 0xd137e0dU, + UINTMAX_MAX / 197) +P (2, 52, + ((((uintmax_t) 0x7a36U << 28 | 0x07b7f5bU) << 28 | 0x5630e26U) << 28 | 0x97cc8aeU) << 28 | 0xf46c0f7U, + UINTMAX_MAX / 199) +P (12, 46, + ((((uintmax_t) 0x2f51U << 28 | 0x4a026d3U) << 28 | 0x1be7bc0U) << 28 | 0xe8f2a76U) << 28 | 0xe68575bU, + UINTMAX_MAX / 211) +P (12, 40, + ((((uintmax_t) 0xdd8fU << 28 | 0x7f6d0eeU) << 28 | 0xc7bfb68U) << 28 | 0x7763dfdU) << 28 | 0xb43bb1fU, + UINTMAX_MAX / 223) +P (4, 42, + ((((uintmax_t) 0x766aU << 28 | 0x024168eU) << 28 | 0x18cf81bU) << 28 | 0x10ea929U) << 28 | 0xba144cbU, + UINTMAX_MAX / 227) +P (2, 42, + ((((uintmax_t) 0x0c4cU << 28 | 0x0478bbcU) << 28 | 0xecfee1dU) << 28 | 0x10c4c04U) << 28 | 0x78bbcedU, + UINTMAX_MAX / 229) +P (4, 44, + ((((uintmax_t) 0x758fU << 28 | 0xee6bac7U) << 28 | 0xf735d63U) << 28 | 0xfb9aeb1U) << 28 | 0xfdcd759U, + UINTMAX_MAX / 233) +P (6, 42, + ((((uintmax_t) 0x077fU << 28 | 0x76e538cU) << 28 | 0x5167e64U) << 28 | 0xafaa4f4U) << 28 | 0x37b2e0fU, + UINTMAX_MAX / 239) +P (2, 42, + ((((uintmax_t) 0x10feU << 28 | 0xf010fefU) << 28 | 0x010fef0U) << 28 | 0x10fef01U) << 28 | 0x0fef011U, + UINTMAX_MAX / 241) +P (10, 42, + ((((uintmax_t) 0xa020U << 28 | 0xa32fefaU) << 28 | 0xe680828U) << 28 | 0xcbfbeb9U) << 28 | 0xa020a33U, + UINTMAX_MAX / 251) +P (6, 50, + ((((uintmax_t) 0xff00U << 28 | 0xff00ff0U) << 28 | 0x0ff00ffU) << 28 | 0x00ff00fU) << 28 | 0xf00ff01U, + UINTMAX_MAX / 257) +P (6, 48, + ((((uintmax_t) 0xf836U << 28 | 0x826ef73U) << 28 | 0xd52bcd6U) << 28 | 0x24fd147U) << 28 | 0x0e99cb7U, + UINTMAX_MAX / 263) +P (6, 44, + ((((uintmax_t) 0x3ce8U << 28 | 0x354b2eaU) << 28 | 0x1c8cd8fU) << 28 | 0xb3ddbd6U) << 28 | 0x205b5c5U, + UINTMAX_MAX / 269) +P (2, 46, + ((((uintmax_t) 0x8715U << 28 | 0xba188f9U) << 28 | 0x63302d5U) << 28 | 0x7da36caU) << 28 | 0x27acdefU, + UINTMAX_MAX / 271) +P (6, 54, + ((((uintmax_t) 0xb25eU << 28 | 0x4463cffU) << 28 | 0x13686eeU) << 28 | 0x70c03b2U) << 28 | 0x5e4463dU, + UINTMAX_MAX / 277) +P (4, 56, + ((((uintmax_t) 0x6c69U << 28 | 0xae01d27U) << 28 | 0x2ca3fc5U) << 28 | 0xb1a6b80U) << 28 | 0x749cb29U, + UINTMAX_MAX / 281) +P (2, 64, + ((((uintmax_t) 0xf26eU << 28 | 0x5c44bfcU) << 28 | 0x61b2347U) << 28 | 0x768073cU) << 28 | 0x9b97113U, + UINTMAX_MAX / 283) +P (10, 56, + ((((uintmax_t) 0xb07dU << 28 | 0xd0d1b15U) << 28 | 0xd7cf125U) << 28 | 0x91e9488U) << 28 | 0x4ce32adU, + UINTMAX_MAX / 293) +P (14, 46, + ((((uintmax_t) 0xd2f8U << 28 | 0x7ebfcaaU) << 28 | 0x1c5a0f0U) << 28 | 0x2806abcU) << 28 | 0x74be1fbU, + UINTMAX_MAX / 307) +P (4, 48, + ((((uintmax_t) 0xbe25U << 28 | 0xdd6d7aaU) << 28 | 0x646ca7eU) << 28 | 0xc3e8f3aU) << 28 | 0x7198487U, + UINTMAX_MAX / 311) +P (2, 54, + ((((uintmax_t) 0xbc1dU << 28 | 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0x7578472U) << 28 | 0x319bd8bU, + UINTMAX_MAX / 547) +P (10, 44, + ((((uintmax_t) 0xddfdU << 28 | 0x3e0bf32U) << 28 | 0x18d1947U) << 28 | 0x3d20a1cU) << 28 | 0x7ed9da5U, + UINTMAX_MAX / 557) +P (6, 44, + ((((uintmax_t) 0xdb2bU << 28 | 0x3278f3bU) << 28 | 0x910d2fbU) << 28 | 0xe85af0fU) << 28 | 0xea2c8fbU, + UINTMAX_MAX / 563) +P (6, 44, + ((((uintmax_t) 0xcb5cU << 28 | 0x3b636e3U) << 28 | 0xa7d1358U) << 28 | 0xa1f7e6cU) << 28 | 0xe0f4c09U, + UINTMAX_MAX / 569) +P (2, 46, + ((((uintmax_t) 0x1bcbU << 28 | 0xfe34e75U) << 28 | 0x76cf21aU) << 28 | 0x00e58c5U) << 28 | 0x44986f3U, + UINTMAX_MAX / 571) +P (6, 42, + ((((uintmax_t) 0x6b5eU << 28 | 0x80aa5efU) << 28 | 0x23f0071U) << 28 | 0x94a17f5U) << 28 | 0x5a10dc1U, + UINTMAX_MAX / 577) +P (10, 44, + ((((uintmax_t) 0x9a62U << 28 | 0x8feb110U) << 28 | 0x22e3a70U) << 28 | 0x8494478U) << 28 | 0x5e33763U, + UINTMAX_MAX / 587) +P (6, 48, + ((((uintmax_t) 0xbe61U << 28 | 0x909eddeU) << 28 | 0x53c01baU) << 28 | 0x10679bdU) << 28 | 0x84886b1U, + 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0xa77aac1U) << 28 | 0xfb15099U, + UINTMAX_MAX / 937) +P (4, 56, + ((((uintmax_t) 0xc53cU << 28 | 0xaad918cU) << 28 | 0x1b34817U) << 28 | 0xf0c3e07U) << 28 | 0x12c5825U, + UINTMAX_MAX / 941) +P (6, 62, + ((((uintmax_t) 0xea1aU << 28 | 0x7df8f8bU) << 28 | 0x37f52fdU) << 28 | 0x912a70fU) << 28 | 0xf30637bU, + UINTMAX_MAX / 947) +P (6, 60, + ((((uintmax_t) 0xbb3bU << 28 | 0x5dc0113U) << 28 | 0x1288ffbU) << 28 | 0xb3b5dc0U) << 28 | 0x1131289U, + UINTMAX_MAX / 953) +P (14, 52, + ((((uintmax_t) 0x50beU << 28 | 0x9c31c53U) << 28 | 0xa81b885U) << 28 | 0x6d560a0U) << 28 | 0xf5acdf7U, + UINTMAX_MAX / 967) +P (4, 50, + ((((uintmax_t) 0x6580U << 28 | 0xec3a008U) << 28 | 0x6fc9296U) << 28 | 0x472f314U) << 28 | 0xd3f89e3U, + UINTMAX_MAX / 971) +P (6, 54, + ((((uintmax_t) 0x1108U << 28 | 0x1f71752U) << 28 | 0x03ab1a7U) << 28 | 0x6f5c7edU) << 28 | 0x2253531U, + UINTMAX_MAX / 977) +P (6, 50, + ((((uintmax_t) 0xb81fU << 28 | 0x4053563U) << 28 | 0x3908981U) << 28 | 0x6eae7c7U) << 28 | 0xbf69fe7U, + UINTMAX_MAX / 983) +P (8, 48, + ((((uintmax_t) 0x9c8bU << 28 | 0x7ed668eU) << 28 | 0x14263b6U) << 28 | 0xa2bea4cU) << 28 | 0xfb1781fU, + UINTMAX_MAX / 991) +P (6, 52, + ((((uintmax_t) 0x0291U << 28 | 0x54fdb06U) << 28 | 0x6b547a3U) << 28 | 0x900c533U) << 28 | 0x18e81edU, + UINTMAX_MAX / 997) +P (12, 42, + ((((uintmax_t) 0x2240U << 28 | 0x71aa3e6U) << 28 | 0xa0db360U) << 28 | 0xaa7f5d9U) << 28 | 0xf148d11U, + UINTMAX_MAX / 1009) +P (4, 48, + ((((uintmax_t) 0x02c7U << 28 | 0xa505cffU) << 28 | 0xbf4e16bU) << 28 | 0xe8c0102U) << 28 | 0xc7a505dU, + UINTMAX_MAX / 1013) +P (6, 44, + ((((uintmax_t) 0xcafdU << 28 | 0xbd2c779U) << 28 | 0x57ad98fU) << 28 | 0xf3f0ed2U) << 28 | 0x8728f33U, + UINTMAX_MAX / 1019) +P (2, 48, + ((((uintmax_t) 0x513cU << 28 | 0xedb245bU) << 28 | 0x4473568U) << 28 | 0x0e0a87eU) << 28 | 0x5ec7155U, + UINTMAX_MAX / 1021) +P (10, 56, + ((((uintmax_t) 0x2e6eU << 28 | 0xbe33267U) << 28 | 0xca5ddbbU) << 28 | 0xf70fa49U) << 28 | 0xfe829b7U, + UINTMAX_MAX / 1031) +P (2, 58, + ((((uintmax_t) 0x007eU << 28 | 0xe2825abU) << 28 | 0x3eb2ed6U) << 28 | 0x9d1e7b6U) << 28 | 0xa50ca39U, + UINTMAX_MAX / 1033) +P (6, 54, + ((((uintmax_t) 0x2f8dU << 28 | 0xacb84cdU) << 28 | 0xfb90a1aU) << 28 | 0x1e0f46bU) << 28 | 0x6d26aefU, + UINTMAX_MAX / 1039) +P (10, 48, + ((((uintmax_t) 0x01f3U << 28 | 0xcc435b0U) << 28 | 0x713c474U) << 28 | 0x29f9a7aU) << 28 | 0x8251829U, + UINTMAX_MAX / 1049) +P (2, 52, + ((((uintmax_t) 0x8c0eU << 28 | 0x9d59e14U) << 28 | 0xf29a6d9U) << 28 | 0xc2219d1U) << 28 | 0xb863613U, + UINTMAX_MAX / 1051) +P (10, 48, + ((((uintmax_t) 0x6e81U << 28 | 0xcf42d5cU) << 28 | 0x6932e91U) << 28 | 0x406c182U) << 28 | 0x0d077adU, + UINTMAX_MAX / 1061) +P (2, 54, + ((((uintmax_t) 0x9c4cU << 28 | 0x1a02688U) << 28 | 0x4efdd52U) << 28 | 0x1f4ec02U) << 28 | 0xe3d2b97U, + UINTMAX_MAX / 1063) +P (6, 54, + ((((uintmax_t) 0x7bcfU << 28 | 0x2599067U) << 28 | 0x74255bbU) << 28 | 0x8283b63U) << 28 | 0xdc8eba5U, + UINTMAX_MAX / 1069) +P (18, 42, + ((((uintmax_t) 0x46a7U << 28 | 0x3667275U) << 28 | 0x48c5d43U) << 28 | 0x1eda153U) << 28 | 0x229ebbfU, + UINTMAX_MAX / 1087) +P (4, 60, + ((((uintmax_t) 0xe720U << 28 | 0x9daecfeU) << 28 | 0x5b832afU) << 28 | 0x0bf78d7U) << 28 | 0xe01686bU, + UINTMAX_MAX / 1091) +P (2, 60, + ((((uintmax_t) 0x194bU << 28 | 0xa6ff4c1U) << 28 | 0xeeaafa9U) << 28 | 0xced0742U) << 28 | 0xc086e8dU, + UINTMAX_MAX / 1093) +P (4, 66, + ((((uintmax_t) 0x777bU << 28 | 0x730c5e4U) << 28 | 0x768c7c2U) << 28 | 0x6458ad9U) << 28 | 0xf632df9U, + UINTMAX_MAX / 1097) +P (6, 68, + ((((uintmax_t) 0x2aefU << 28 | 0xfc49577U) << 28 | 0xfe24abbU) << 28 | 0xff1255dU) << 28 | 0xff892afU, + UINTMAX_MAX / 1103) +P (6, 72, + ((((uintmax_t) 0xf1b0U << 28 | 0x213da24U) << 28 | 0x78f59cbU) << 28 | 0xd49a333U) << 28 | 0xf04d8fdU, + UINTMAX_MAX / 1109) +P (8, 70, + ((((uintmax_t) 0x8822U << 28 | 0xd60f205U) << 28 | 0x0ac58ecU) << 28 | 0x84ed6f9U) << 28 | 0xcfdeff5U, + UINTMAX_MAX / 1117) +P (6, 70, + ((((uintmax_t) 0x3606U << 28 | 0xd6bd351U) << 28 | 0xd682d97U) << 28 | 0x980cc40U) << 28 | 0xbda9d4bU, + UINTMAX_MAX / 1123) +P (6, 72, + ((((uintmax_t) 0x0122U << 28 | 0x3d38ea0U) << 28 | 0x15c4977U) << 28 | 0x7f34d52U) << 28 | 0x4f5cbd9U, + UINTMAX_MAX / 1129) +P (22, 62, + ((((uintmax_t) 0x78feU << 28 | 0x716e8a5U) << 28 | 0x7a1b227U) << 28 | 0x97051d9U) << 28 | 0x4cbbb7fU, + UINTMAX_MAX / 1151) +P (2, 64, + ((((uintmax_t) 0xd6ecU << 28 | 0xaef5908U) << 28 | 0xa8be0eaU) << 28 | 0x769051bU) << 28 | 0x4f43b81U, + UINTMAX_MAX / 1153) +P (10, 60, + ((((uintmax_t) 0x7867U << 28 | 0xe595e6eU) << 28 | 0x801c2ceU) << 28 | 0x7910f30U) << 28 | 0x34d4323U, + UINTMAX_MAX / 1163) +P (8, 58, + ((((uintmax_t) 0xa705U << 28 | 0xe713e4eU) << 28 | 0x43c5692U) << 28 | 0x791d137U) << 28 | 0x4f5b99bU, + UINTMAX_MAX / 1171) +P (10, 50, + ((((uintmax_t) 0x92c0U << 28 | 0x0ddf7c3U) << 28 | 0x4e40989U) << 28 | 0xa5645ccU) << 28 | 0x68ea1b5U, + UINTMAX_MAX / 1181) +P (6, 50, + ((((uintmax_t) 0xab06U << 28 | 0xaf8e205U) << 28 | 0x9b7f75fU) << 28 | 0x8aacf79U) << 28 | 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28 | 0x96dc4f7U) << 28 | 0xb460754U) << 28 | 0xb0b61cfU, + UINTMAX_MAX / 1327) +P (34, 68, + ((((uintmax_t) 0xbbe8U << 28 | 0xad0c9a3U) << 28 | 0xd51d27bU) << 28 | 0x03f3359U) << 28 | 0xb8e63b1U, + UINTMAX_MAX / 1361) +P (6, 66, + ((((uintmax_t) 0xa28dU << 28 | 0x33dfca1U) << 28 | 0x0dabba5U) << 28 | 0x5c53260U) << 28 | 0x41eb667U, + UINTMAX_MAX / 1367) +P (6, 66, + ((((uintmax_t) 0x677bU << 28 | 0x3ed5acdU) << 28 | 0x78a2964U) << 28 | 0x7f88ab8U) << 28 | 0x96a76f5U, + UINTMAX_MAX / 1373) +P (8, 66, + ((((uintmax_t) 0xf4e0U << 28 | 0xac06ac6U) << 28 | 0x595988fU) << 28 | 0xd971434U) << 28 | 0xa55a46dU, + UINTMAX_MAX / 1381) +P (18, 52, + ((((uintmax_t) 0x3ba7U << 28 | 0x6f12d90U) << 28 | 0x609e19fU) << 28 | 0xbf96995U) << 28 | 0x8046447U, + UINTMAX_MAX / 1399) +P (10, 44, + ((((uintmax_t) 0x3d69U << 28 | 0x32b0f71U) << 28 | 0x8e43399U) << 28 | 0x86feba6U) << 28 | 0x9be3a81U, + UINTMAX_MAX / 1409) +P (14, 36, + ((((uintmax_t) 0xb7adU << 28 | 0xf701426U) << 28 | 0x239eda6U) << 28 | 0x68b3e6dU) << 28 | 0x053796fU, + UINTMAX_MAX / 1423) +P (4, 44, + ((((uintmax_t) 0xd0d1U << 28 | 0x893d2caU) << 28 | 0xb80fc97U) << 28 | 0x694e658U) << 28 | 0x9f4e09bU, + UINTMAX_MAX / 1427) +P (2, 52, + ((((uintmax_t) 0xc00bU << 28 | 0x7721dbcU) << 28 | 0xffd2237U) << 28 | 0x890c00bU) << 28 | 0x7721dbdU, + UINTMAX_MAX / 1429) +P (4, 50, + ((((uintmax_t) 0xe9d9U << 28 | 0x0e1cf0dU) << 28 | 0x0a8a45aU) << 28 | 0xc094a23U) << 28 | 0x5f37ea9U, + UINTMAX_MAX / 1433) +P (6, 48, + ((((uintmax_t) 0x8489U << 28 | 0x56fe661U) << 28 | 0xd881831U) << 28 | 0xcff775fU) << 28 | 0x2d5d65fU, + UINTMAX_MAX / 1439) +P (8, 42, + ((((uintmax_t) 0xfd85U << 28 | 0xed3f28dU) << 28 | 0xe356dddU) << 28 | 0xad8e6b3U) << 28 | 0x6505217U, + UINTMAX_MAX / 1447) +P (4, 42, + ((((uintmax_t) 0x0a68U << 28 | 0xcca8aacU) << 28 | 0x8c7035aU) << 28 | 0x27df897U) << 28 | 0x062cd03U, + UINTMAX_MAX / 1451) +P (2, 46, + ((((uintmax_t) 0x57eaU << 28 | 0xdb877ceU) << 28 | 0xaae6ce2U) << 28 | 0x396fe0fU) << 28 | 0xdb5a625U, + UINTMAX_MAX / 1453) +P (6, 52, + ((((uintmax_t) 0x1c12U << 28 | 0xf330f43U) << 28 | 0xe76f6b3U) << 28 | 0x52a4957U) << 28 | 0xe82317bU, + UINTMAX_MAX / 1459) +P (12, 52, + ((((uintmax_t) 0x472dU << 28 | 0xc52d6c1U) << 28 | 0x2cb9dd8U) << 28 | 0xab3f2c6U) << 28 | 0x0c2ea3fU, + UINTMAX_MAX / 1471) +P (10, 50, + ((((uintmax_t) 0xda51U << 28 | 0x3e0e2c9U) << 28 | 0x8ce0b68U) << 28 | 0x93f702fU) << 28 | 0x0452479U, + UINTMAX_MAX / 1481) +P (2, 60, + ((((uintmax_t) 0x442fU << 28 | 0xa4dae2dU) << 28 | 0x3a2c896U) << 28 | 0x86fdc18U) << 28 | 0x2acf7e3U, + UINTMAX_MAX / 1483) +P (4, 62, + ((((uintmax_t) 0x091fU << 28 | 0xd96fbb2U) << 28 | 0x2f2be68U) << 28 | 0x5403717U) << 28 | 0x3dce12fU, + UINTMAX_MAX / 1487) +P (2, 64, + ((((uintmax_t) 0x3accU << 28 | 0x97fbdfaU) << 28 | 0xd798d7fU) << 28 | 0x0ded168U) << 28 | 0x5c27331U, + UINTMAX_MAX / 1489) +P (4, 66, + ((((uintmax_t) 0x4d54U << 28 | 0xe047548U) << 28 | 0x87cd3eeU) << 28 | 0xda72e1fU) << 28 | 0xe490b7dU, + UINTMAX_MAX / 1493) +P (6, 68, + 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0x0e9d4faU) << 28 | 0x40b2a87U) << 28 | 0xa2bade5U) << 28 | 0x65f91a7U, + UINTMAX_MAX / 1559) +P (8, 46, + ((((uintmax_t) 0x9ecbU << 28 | 0x8ef2c45U) << 28 | 0xec11a4dU) << 28 | 0x6fe8798U) << 28 | 0xc01f5dfU, + UINTMAX_MAX / 1567) +P (4, 48, + ((((uintmax_t) 0xfb99U << 28 | 0xaa49543U) << 28 | 0xf39d937U) << 28 | 0x91310c8U) << 28 | 0xc23d98bU, + UINTMAX_MAX / 1571) +P (8, 42, + ((((uintmax_t) 0x7abbU << 28 | 0x187b379U) << 28 | 0xc2112f8U) << 28 | 0x0e446b0U) << 28 | 0x1228883U, + UINTMAX_MAX / 1579) +P (4, 44, + ((((uintmax_t) 0x3cceU << 28 | 0x5a3d212U) << 28 | 0x6f95e9aU) << 28 | 0xed1436fU) << 28 | 0xbf500cfU, + UINTMAX_MAX / 1583) +P (14, 40, + ((((uintmax_t) 0xc6eeU << 28 | 0xd90c05cU) << 28 | 0x5547a78U) << 28 | 0x39b54ccU) << 28 | 0x8b24115U, + UINTMAX_MAX / 1597) +P (4, 56, + ((((uintmax_t) 0x8798U << 28 | 0x627f99aU) << 28 | 0x9f948c1U) << 28 | 0x28c646aU) << 28 | 0xd0309c1U, + UINTMAX_MAX / 1601) +P (6, 56, + ((((uintmax_t) 0x5233U << 28 | 0x4bab403U) << 28 | 0x2fa1b14U) << 28 | 0xde63162U) << 28 | 0x4a3c377U, + UINTMAX_MAX / 1607) +P (2, 58, + ((((uintmax_t) 0x0e51U << 28 | 0xc7ad43fU) << 28 | 0x016e93fU) << 28 | 0x7b9fe68U) << 28 | 0xb0ecbf9U, + UINTMAX_MAX / 1609) +P (4, 56, + ((((uintmax_t) 0x00a2U << 28 | 0x84ffd75U) << 28 | 0xec00a28U) << 28 | 0x4ffd75eU) << 28 | 0xc00a285U, + UINTMAX_MAX / 1613) +P (6, 74, + ((((uintmax_t) 0xe72cU << 28 | 0xbfa4ebeU) << 28 | 0xb20bb37U) << 28 | 0x803cb80U) << 28 | 0xdea2ddbU, + UINTMAX_MAX / 1619) +P (2, 76, + ((((uintmax_t) 0x22beU << 28 | 0x75d04e5U) << 28 | 0x4f6ff86U) << 28 | 0xb63f7c9U) << 28 | 0xac4c6fdU, + UINTMAX_MAX / 1621) +P (6, 72, + ((((uintmax_t) 0x84f4U << 28 | 0xd419cdfU) << 28 | 0x6dfbe8bU) << 28 | 0x6851d1bU) << 28 | 0xd99b9d3U, + UINTMAX_MAX / 1627) +P (10, 72, + ((((uintmax_t) 0xe83aU << 28 | 0xccdcd04U) << 28 | 0xd90f7b6U) << 28 | 0x2fda77cU) << 28 | 0xa343b6dU, + UINTMAX_MAX / 1637) +P (20, 64, + ((((uintmax_t) 0x9e34U << 28 | 0x383c8ffU) << 28 | 0xd872f1fU) << 28 | 0x0dc009eU) << 28 | 0x34383c9U, + UINTMAX_MAX / 1657) +P (6, 60, + ((((uintmax_t) 0x2e7dU << 28 | 0x4e5ad2eU) << 28 | 0x55e5d49U) << 28 | 0x6dc21ddU) << 28 | 0xd35b97fU, + UINTMAX_MAX / 1663) +P (4, 66, + ((((uintmax_t) 0xe596U << 28 | 0x098573aU) << 28 | 0x33e80b0U) << 28 | 0xe96ce17U) << 28 | 0x090f82bU, + UINTMAX_MAX / 1667) +P (2, 72, + ((((uintmax_t) 0x7181U << 28 | 0x4dc42e0U) << 28 | 0x3fceeaaU) << 28 | 0xdf05acdU) << 28 | 0xd7d024dU, + UINTMAX_MAX / 1669) +P (24, 54, + ((((uintmax_t) 0xa4abU << 28 | 0x2bb32f5U) << 28 | 0x43975cbU) << 28 | 0x1381967U) << 28 | 0x46eafb5U, + UINTMAX_MAX / 1693) +P (4, 56, + ((((uintmax_t) 0xa2ecU << 28 | 0x3cf1f87U) << 28 | 0x5102434U) << 28 | 0x7f52373U) << 28 | 0x6755d61U, + UINTMAX_MAX / 1697) +P (2, 60, + ((((uintmax_t) 0x6ff3U << 28 | 0xf223422U) << 28 | 0x5ab51d1U) << 28 | 0x4a48a05U) << 28 | 0x1f7dd0bU, + UINTMAX_MAX / 1699) +P (10, 68, + ((((uintmax_t) 0x6c00U << 28 | 0x9963e9dU) << 28 | 0x48f3447U) << 28 | 0x4d71b1cU) << 28 | 0xe914d25U, + UINTMAX_MAX / 1709) +P (12, 62, + ((((uintmax_t) 0x894cU << 28 | 0x02f99a8U) << 28 | 0xd502d38U) << 28 | 0x6063f5eU) << 28 | 0x28c1f89U, + UINTMAX_MAX / 1721) +P (2, 64, + ((((uintmax_t) 0xc8e0U << 28 | 0xa6684d4U) << 28 | 0x2b6281dU) << 28 | 0xb7325e3U) << 28 | 0x2d04e73U, + UINTMAX_MAX / 1723) +P (10, 56, + ((((uintmax_t) 0xf8c2U << 28 | 0xfdc8c0aU) << 28 | 0x0b85afeU) << 28 | 0xf748d38U) << 28 | 0x93b880dU, + UINTMAX_MAX / 1733) +P (8, 60, + ((((uintmax_t) 0xd0a7U << 28 | 0x0a25594U) << 28 | 0x123bb2fU) << 28 | 0x3351506U) << 28 | 0xe935605U, + UINTMAX_MAX / 1741) +P (6, 64, + ((((uintmax_t) 0xdb5dU << 28 | 0xa31878bU) << 28 | 0xf158a7aU) << 28 | 0x3637fa2U) << 28 | 0x376415bU, + UINTMAX_MAX / 1747) +P (6, 70, + ((((uintmax_t) 0x75b4U << 28 | 0x5a8abbcU) << 28 | 0xd2e004aU) << 28 | 0xc525d2bU) << 28 | 0xaa21969U, + UINTMAX_MAX / 1753) +P (6, 72, + ((((uintmax_t) 0x7e53U << 28 | 0x89d2e22U) << 28 | 0xa34af3aU) << 28 | 0x11c16b4U) << 28 | 0x2cd351fU, + UINTMAX_MAX / 1759) +P (18, 70, + ((((uintmax_t) 0xeaf7U << 28 | 0x801270aU) << 28 | 0x843ff6cU) << 28 | 0x7abde00U) << 28 | 0x49c2a11U, + UINTMAX_MAX / 1777) +P (6, 78, + ((((uintmax_t) 0x1ad9U << 28 | 0x60a0cecU) << 28 | 0x0ae9754U) << 28 | 0xdad0303U) << 28 | 0xe069ac7U, + UINTMAX_MAX / 1783) +P (4, 80, + ((((uintmax_t) 0x082aU << 28 | 0x676e737U) << 28 | 0x70be3ebU) << 28 | 0xf1ac9fdU) << 28 | 0xfe91433U, + UINTMAX_MAX / 1787) +P (2, 82, + ((((uintmax_t) 0x50b4U << 28 | 0xdfcda14U) << 28 | 0x51d9efaU) << 28 | 0xfdda823U) << 28 | 0x7cec655U, + UINTMAX_MAX / 1789) +P (12, 72, + ((((uintmax_t) 0x1ffbU << 28 | 0x738ffdbU) << 28 | 0x9c7fedcU) << 28 | 0xe3ff6e7U) << 28 | 0x1ffb739U, + UINTMAX_MAX / 1801) +P (10, 66, + ((((uintmax_t) 0xa660U << 28 | 0xf8ca6cdU) << 28 | 0x88f9ebeU) << 28 | 0xd5737d6U) << 28 | 0x286db1bU, + UINTMAX_MAX / 1811) +P (12, 56, + ((((uintmax_t) 0xed52U << 28 | 0xb6467eaU) << 28 | 0xa7abbe4U) << 28 | 0x79e431fU) << 28 | 0xe08b4dfU, + UINTMAX_MAX / 1823) +P (8, 58, + ((((uintmax_t) 0xdaf2U << 28 | 0xff4d09aU) << 28 | 0x5ae119dU) << 28 | 0xd9b0dd7U) << 28 | 0x742f897U, + UINTMAX_MAX / 1831) +P (16, 54, + ((((uintmax_t) 0x6054U << 28 | 0x454d33bU) << 28 | 0x2efc88fU) << 28 | 0x09d7402U) << 28 | 0xc5a5e87U, + UINTMAX_MAX / 1847) +P (14, 46, + ((((uintmax_t) 0xf545U << 28 | 0x31625b1U) << 28 | 0x0a51292U) << 28 | 0x16d5c4dU) << 28 | 0x958738dU, + UINTMAX_MAX / 1861) +P (6, 46, + ((((uintmax_t) 0x6df8U << 28 | 0x0c1100aU) << 28 | 0xf82f2b3U) << 28 | 0x139ba11U) << 28 | 0xd34ca63U, + UINTMAX_MAX / 1867) +P (4, 60, + ((((uintmax_t) 0xaf8bU << 28 | 0xf8e2952U) << 28 | 0x3b61d47U) << 28 | 0xd54f7edU) << 28 | 0x644afafU, + UINTMAX_MAX / 1871) +P (2, 60, + ((((uintmax_t) 0x4d5cU << 28 | 0x4227171U) << 28 | 0x9491f92U) << 28 | 0xa81d85cU) << 28 | 0xf11a1b1U, + UINTMAX_MAX / 1873) +P (4, 72, + ((((uintmax_t) 0xf78bU << 28 | 0x4082eeaU) << 28 | 0xdc21475U) << 28 | 0x4b26533U) << 28 | 0x253bdfdU, + UINTMAX_MAX / 1877) +P (2, 72, + ((((uintmax_t) 0xf354U << 28 | 0x558f76aU) << 28 | 0xad92bbbU) << 28 | 0xe0efc98U) << 28 | 0x0bfd467U, + UINTMAX_MAX / 1879) +P (10, 84, + ((((uintmax_t) 0x0ab4U << 28 | 0xc91d231U) << 28 | 0x99d11c0U) << 28 | 0xd8d594fU) << 28 | 0x024dca1U, + UINTMAX_MAX / 1889) +P (12, 78, + ((((uintmax_t) 0x1b56U << 28 | 0x52256feU) << 28 | 0x84c7d82U) << 28 | 0x38d43bcU) << 28 | 0xaac1a65U, + UINTMAX_MAX / 1901) +P (6, 80, + ((((uintmax_t) 0xaca2U << 28 | 0xb39dbc1U) << 28 | 0x2cb3e27U) << 28 | 0x779c1faU) << 28 | 0xe6175bbU, + UINTMAX_MAX / 1907) +P (6, 80, + ((((uintmax_t) 0x3856U << 28 | 0xb755c78U) << 28 | 0x7068ea7U) << 28 | 0x46ca9afU) << 28 | 0x708b2c9U, + UINTMAX_MAX / 1913) +P (18, 66, + ((((uintmax_t) 0x052bU << 28 | 0x9de5385U) << 28 | 0x8076c93U) << 28 | 0xf3cd9f3U) << 28 | 0x89be823U, + UINTMAX_MAX / 1931) +P (2, 66, + ((((uintmax_t) 0x820dU << 28 | 0x822f698U) << 28 | 0xd4f545cU) << 28 | 0xb4a4c04U) << 28 | 0xc489345U, + UINTMAX_MAX / 1933) +P (16, 54, + ((((uintmax_t) 0xcd09U << 28 | 0x536828fU) << 28 | 0xb23dbbfU) << 28 | 0x6047743U) << 28 | 0xe85b6b5U, + UINTMAX_MAX / 1949) +P (2, 60, + ((((uintmax_t) 0x8486U << 28 | 0xe386c1eU) << 28 | 0xf778961U) << 28 | 0xc147831U) << 28 | 0x563545fU, + UINTMAX_MAX / 1951) +P (22, 44, + ((((uintmax_t) 0xec68U << 28 | 0x5200c74U) << 28 | 0xc6c78edU) << 28 | 0xb47c0aeU) << 28 | 0x62dee9dU, + UINTMAX_MAX / 1973) +P (6, 48, + ((((uintmax_t) 0xd8acU << 28 | 0xd298624U) << 28 | 0xff1830aU) << 28 | 0x3824386U) << 28 | 0x673a573U, + UINTMAX_MAX / 1979) +P (8, 42, + ((((uintmax_t) 0x03ddU << 28 | 0x78b87ecU) << 28 | 0x6aad6a4U) << 28 | 0xa77d19eU) << 28 | 0x575a0ebU, + UINTMAX_MAX / 1987) +P (6, 46, + ((((uintmax_t) 0x8950U << 28 | 0x062a636U) << 28 | 0xb8325a2U) << 28 | 0xbee045eU) << 28 | 0x066c279U, + UINTMAX_MAX / 1993) +P (4, 56, + ((((uintmax_t) 0xa9daU << 28 | 0xd301275U) << 28 | 0xae369c2U) << 28 | 0x3618de8U) << 28 | 0xab43d05U, + UINTMAX_MAX / 1997) +P (2, 64, + ((((uintmax_t) 0xfa3cU << 28 | 0xb3cd496U) << 28 | 0x174ec26U) << 28 | 0x6b51521U) << 28 | 0x6cb9f2fU, + UINTMAX_MAX / 1999) +P (4, 66, + ((((uintmax_t) 0x5c05U << 28 | 0x9fa1eedU) << 28 | 0xfaa1ce2U) << 28 | 0x79edd9eU) << 28 | 0x9c2e85bU, + UINTMAX_MAX / 2003) +P (8, 70, + ((((uintmax_t) 0x8e52U << 28 | 0x3c5712bU) << 28 | 0x68c48d0U) << 28 | 0xc591c22U) << 28 | 0x1dc9c53U, + UINTMAX_MAX / 2011) +P (6, 66, + ((((uintmax_t) 0x8de5U << 28 | 0xdaaf67bU) << 28 | 0x1d10a06U) << 28 | 0xda8ee9cU) << 28 | 0x9ee7c21U, + UINTMAX_MAX / 2017) +P (10, 60, + ((((uintmax_t) 0xec2bU << 28 | 0xf35ed8fU) << 28 | 0x98f179dU) << 28 | 0xfebcaf4U) << 28 | 0xc27e8c3U, + UINTMAX_MAX / 2027) +P (2, 60, + ((((uintmax_t) 0xe8c8U << 28 | 0xdd0cfedU) << 28 | 0xd4d9849U) << 28 | 0xaeff9f1U) << 28 | 0x9dd6de5U, + UINTMAX_MAX / 2029) +P (10, 60, + ((((uintmax_t) 0x65f2U << 28 | 0xb107280U) << 28 | 0xd0eb086U) << 28 | 0x976a57aU) << 28 | 0x296e9c7U, + UINTMAX_MAX / 2039) +P (14, 58, + ((((uintmax_t) 0x44b5U << 28 | 0x0ed6b9cU) << 28 | 0xbe093a3U) << 28 | 0xb9abf48U) << 28 | 0x72b84cdU, + UINTMAX_MAX / 2053) +P (10, 50, + ((((uintmax_t) 0x9e96U << 28 | 0xa5899dfU) << 28 | 0x7cf5b34U) << 28 | 0xfca6483U) << 28 | 0x895e6efU, + UINTMAX_MAX / 2063) +P (6, 60, + ((((uintmax_t) 0x49beU << 28 | 0x6c24212U) << 28 | 0x8f47e34U) << 28 | 0xb5a3339U) << 28 | 0x88f873dU, + UINTMAX_MAX / 2069) +P (12, 50, + ((((uintmax_t) 0xd1fdU << 28 | 0xc922526U) << 28 | 0xc0275d9U) << 28 | 0xdd4f19bU) << 28 | 0x5f17be1U, + UINTMAX_MAX / 2081) +P (2, 54, + ((((uintmax_t) 0xb8d7U << 28 | 0x51f95d0U) << 28 | 0x8f8bfb9U) << 28 | 0x35b507fU) << 28 | 0xd0ce78bU, + UINTMAX_MAX / 2083) +P (4, 54, + ((((uintmax_t) 0x971fU << 28 | 0x47835f8U) << 28 | 0xe2aeeb4U) << 28 | 0x50f5540U) << 28 | 0x660e797U, + UINTMAX_MAX / 2087) +P (2, 54, + ((((uintmax_t) 0x418fU << 28 | 0xfe0a0c7U) << 28 | 0xff05063U) << 28 | 0xff82831U) << 28 | 0xffc1419U, + UINTMAX_MAX / 2089) +P (10, 54, + ((((uintmax_t) 0xd06fU << 28 | 0x3ae8760U) << 28 | 0xf5e0889U) << 28 | 0x92f718cU) << 28 | 0x22a32fbU, + UINTMAX_MAX / 2099) +P (12, 50, + ((((uintmax_t) 0x16adU << 28 | 0x6a5a779U) << 28 | 0x25f515fU) << 28 | 0x3253ad0U) << 28 | 0xd37e7bfU, + UINTMAX_MAX / 2111) +P (2, 66, + ((((uintmax_t) 0xfe0fU << 28 | 0xc007c0fU) << 28 | 0xfe0fc00U) << 28 | 0x7c0ffe0U) << 28 | 0xfc007c1U, + UINTMAX_MAX / 2113) +P (16, 74, + ((((uintmax_t) 0x9763U << 28 | 0x3395b43U) << 28 | 0xf020b4dU) << 28 | 0x8ebadc0U) << 28 | 0xc0640b1U, + UINTMAX_MAX / 2129) +P (2, 76, + ((((uintmax_t) 0x9a20U << 28 | 0xea7f195U) << 28 | 0x90471e2U) << 28 | 0x729af83U) << 28 | 0x1037bdbU, + UINTMAX_MAX / 2131) +P (6, 76, + ((((uintmax_t) 0x7285U << 28 | 0xee07e80U) << 28 | 0xa8ab8b8U) << 28 | 0xf64bf30U) << 28 | 0xfeebfe9U, + UINTMAX_MAX / 2137) +P (4, 80, + ((((uintmax_t) 0x3dd1U << 28 | 0x5e1a10fU) << 28 | 0xa9e8cdaU) << 28 | 0x93124b5U) << 28 | 0x44c0bf5U, + UINTMAX_MAX / 2141) +P (2, 94, + ((((uintmax_t) 0x4f14U << 28 | 0xe7bff85U) << 28 | 0xac9e29cU) << 28 | 0xf7ff0b5U) << 28 | 0x93c539fU, + UINTMAX_MAX / 2143) +P (10, 86, + ((((uintmax_t) 0x12e7U << 28 | 0xdccdf10U) << 28 | 0x4a322d6U) << 28 | 0xbd8861fU) << 28 | 0xa0e07d9U, + UINTMAX_MAX / 2153) +P (8, 82, + ((((uintmax_t) 0xd7b8U << 28 | 0xebfac9aU) << 28 | 0x00b5f5cU) << 28 | 0xfe75c0bU) << 28 | 0xd8ab891U, + UINTMAX_MAX / 2161) +P (18, 72, + ((((uintmax_t) 0xae1cU << 28 | 0xe6bd9efU) << 28 | 0x512ea43U) << 28 | 0xe808757U) << 28 | 0xc2e862bU, + UINTMAX_MAX / 2179) +P (24, 64, + ((((uintmax_t) 0x459bU << 28 | 0x5dc70f3U) << 28 | 0x90e8690U) << 28 | 0xcaa96d5U) << 28 | 0x95c9d93U, + UINTMAX_MAX / 2203) +P (4, 62, + ((((uintmax_t) 0x4ec2U << 28 | 0xa38d65bU) << 28 | 0xa2bd88fU) << 28 | 0xd550625U) << 28 | 0xd07135fU, + UINTMAX_MAX / 2207) +P (6, 60, + ((((uintmax_t) 0x525dU << 28 | 0x3cf6a14U) << 28 | 0x20da676U) << 28 | 0xb010a86U) << 28 | 0xe209f2dU, + UINTMAX_MAX / 2213) +P (8, 60, + ((((uintmax_t) 0x716bU << 28 | 0x4f6a9e5U) << 28 | 0xf3522ecU) << 28 | 0xc042644U) << 28 | 0x7769b25U, + UINTMAX_MAX / 2221) +P (16, 50, + ((((uintmax_t) 0x48abU << 28 | 0x336212fU) << 28 | 0xf32ece3U) << 28 | 0x81339caU) << 28 | 0xabe3295U, 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+ ((((uintmax_t) 0xad0dU << 28 | 0xfdfc31bU) << 28 | 0x33610caU) << 28 | 0x61d53d7U) << 28 | 0x414260fU, + UINTMAX_MAX / 2287) +P (6, 58, + ((((uintmax_t) 0x65b5U << 28 | 0x32cc4f0U) << 28 | 0xb46abb5U) << 28 | 0x6bf5ba8U) << 28 | 0xeae635dU, + UINTMAX_MAX / 2293) +P (4, 60, + ((((uintmax_t) 0xcdbcU << 28 | 0x7622fecU) << 28 | 0x6285844U) << 28 | 0xa72cb0fU) << 28 | 0xb6e3949U, + UINTMAX_MAX / 2297) +P (12, 62, + ((((uintmax_t) 0x37c4U << 28 | 0x92cae49U) << 28 | 0xd6fa587U) << 28 | 0x9839a71U) << 28 | 0x4f45bcdU, + UINTMAX_MAX / 2309) +P (2, 66, + ((((uintmax_t) 0xc031U << 28 | 0xa083283U) << 28 | 0x60ed802U) << 28 | 0xa8994fdU) << 28 | 0xe5314b7U, + UINTMAX_MAX / 2311) +P (22, 48, + ((((uintmax_t) 0xc841U << 28 | 0xd685a6aU) << 28 | 0xe081eb9U) << 28 | 0x71920cfU) << 28 | 0x2b90135U, + UINTMAX_MAX / 2333) +P (6, 44, + ((((uintmax_t) 0xc4c9U << 28 | 0xd2b0364U) << 28 | 0x9549a8aU) << 28 | 0x8fd0b7dU) << 28 | 0xf9a6e8bU, + UINTMAX_MAX / 2339) +P (2, 48, + ((((uintmax_t) 0xe3c9U << 28 | 0x5290213U) << 28 | 0xe7112b3U) << 28 | 0x1f9a84cU) << 28 | 0x1c6eaadU, + UINTMAX_MAX / 2341) +P (6, 46, + ((((uintmax_t) 0xf02fU << 28 | 0x1ede4bbU) << 28 | 0x2c64c92U) << 28 | 0x293b028U) << 28 | 0x23c6d83U, + UINTMAX_MAX / 2347) +P (4, 48, + ((((uintmax_t) 0x83f9U << 28 | 0x7773bffU) << 28 | 0x907f2eeU) << 28 | 0xe77ff20U) << 28 | 0xfe5ddcfU, + UINTMAX_MAX / 2351) +P (6, 54, + ((((uintmax_t) 0xd472U << 28 | 0x42b02b7U) << 28 | 0x1ef460eU) << 28 | 0x1ea0f6cU) << 28 | 0x496c11dU, + UINTMAX_MAX / 2357) +P (14, 46, + ((((uintmax_t) 0xd905U << 28 | 0xb8f4727U) << 28 | 0x318f0fdU) << 28 | 0xf2d3d6fU) << 28 | 0x88ccb6bU, + UINTMAX_MAX / 2371) +P (6, 46, + ((((uintmax_t) 0xf2c0U << 28 | 0xc7e3914U) << 28 | 0x920a1faU) << 28 | 0x9d74a34U) << 28 | 0x57738f9U, + UINTMAX_MAX / 2377) +P (4, 56, + ((((uintmax_t) 0x6c7cU << 28 | 0x4a67008U) << 28 | 0x99f72efU) << 28 | 0xc3ca3dbU) << 28 | 0x71a5785U, + UINTMAX_MAX / 2381) +P (2, 58, + ((((uintmax_t) 0x7e55U << 28 | 0xba2c0b9U) << 28 | 0xa289b8eU) << 28 | 0x2071718U) << 28 | 0xd0d6dafU, + UINTMAX_MAX / 2383) +P (6, 58, + ((((uintmax_t) 0xbf46U << 28 | 0xd4d0be4U) << 28 | 0xff091bcU) << 28 | 0x0fdbfebU) << 28 | 0x6cfabfdU, + UINTMAX_MAX / 2389) +P (4, 66, + ((((uintmax_t) 0x1908U << 28 | 0x738977bU) << 28 | 0x58af71eU) << 28 | 0xeab613eU) << 28 | 0x5e5aee9U, + UINTMAX_MAX / 2393) +P (6, 68, + ((((uintmax_t) 0x6a48U << 28 | 0xc6e8d7fU) << 28 | 0xbbb472dU) << 28 | 0x2388e90U) << 28 | 0xe9e929fU, + UINTMAX_MAX / 2399) +P (12, 62, + ((((uintmax_t) 0x9f7bU << 28 | 0x7cc2f24U) << 28 | 0xd82eb81U) << 28 | 0xdbafba5U) << 28 | 0x88ddb43U, + UINTMAX_MAX / 2411) +P (6, 60, + ((((uintmax_t) 0x57ceU << 28 | 0x01e8101U) << 28 | 0x96b8152U) << 28 | 0xeebc51cU) << 28 | 0x4799791U, + UINTMAX_MAX / 2417) +P (6, 80, + ((((uintmax_t) 0x22c2U << 28 | 0x9d6cb7dU) << 28 | 0x695651cU) << 28 | 0x6bc4693U) << 28 | 0xb45a047U, + UINTMAX_MAX / 2423) +P (14, 84, + ((((uintmax_t) 0x366aU << 28 | 0x190050aU) << 28 | 0xd1e2606U) << 28 | 0xeee0974U) << 28 | 0x498874dU, + UINTMAX_MAX / 2437) +P (4, 90, + ((((uintmax_t) 0x7708U << 28 | 0x7eb0665U) << 28 | 0xba929d8U) << 28 | 0x5b7377aU) << 28 | 0x9953cb9U, + UINTMAX_MAX / 2441) +P (6, 92, + ((((uintmax_t) 0x8f53U << 28 | 0x96f6b06U) << 28 | 0x2c2614bU) << 28 | 0x6df412dU) << 28 | 0x4caf56fU, + UINTMAX_MAX / 2447) +P (12, 84, + ((((uintmax_t) 0x0c2eU << 28 | 0x394250fU) << 28 | 0xedad56bU) << 28 | 0x8afbbb4U) << 28 | 0xa053493U, + UINTMAX_MAX / 2459) +P (8, 82, + ((((uintmax_t) 0x78afU << 28 | 0x29d1b7fU) << 28 | 0xbd965ccU) << 28 | 0x5299c96U) << 28 | 0xac7720bU, + UINTMAX_MAX / 2467) +P (6, 78, + ((((uintmax_t) 0x1287U << 28 | 0x9bcb69bU) << 28 | 0x11e89adU) << 28 | 0xce84b5cU) << 28 | 0x710aa99U, + UINTMAX_MAX / 2473) +P (4, 80, + ((((uintmax_t) 0x92c2U << 28 | 0x17c54bfU) << 28 | 0x67de19dU) << 28 | 0x673f5aaU) << 28 | 0x3804225U, + UINTMAX_MAX / 2477) +P (26, 76, + ((((uintmax_t) 0xd46eU << 28 | 0x0ce30e3U) << 28 | 0x76f2ce6U) << 28 | 0x541268eU) << 28 | 0xfbce7f7U, + UINTMAX_MAX / 2503) +P (18, 70, + ((((uintmax_t) 0xa49bU << 28 | 0x91ec4ccU) << 28 | 0x5004dfcU) << 28 | 0xf41e76cU) << 28 | 0xf5be669U, + UINTMAX_MAX / 2521) +P (10, 62, + ((((uintmax_t) 0x6098U << 28 | 0x1f8eb77U) << 28 | 0xa7cd05cU) << 28 | 0x3eb5dc3U) << 28 | 0x1c383cbU, + UINTMAX_MAX / 2531) +P (8, 70, + ((((uintmax_t) 0x62e9U << 28 | 0x505bf44U) << 28 | 0xdd6a930U) << 28 | 0x1832d11U) << 28 | 0xd8ad6c3U, + UINTMAX_MAX / 2539) +P (4, 74, + ((((uintmax_t) 0xb3cbU << 28 | 0x3fecabfU) << 28 | 0x119df2eU) << 28 | 0x9c0942fU) << 28 | 0x1ce450fU, + UINTMAX_MAX / 2543) +P (6, 72, + ((((uintmax_t) 0xef3aU << 28 | 0x59c92a1U) << 28 | 0x4b05b97U) << 28 | 0xf3f2be3U) << 28 | 0x7a39a5dU, + UINTMAX_MAX / 2549) +P (2, 82, + ((((uintmax_t) 0xe69cU << 28 | 0x5983c36U) << 28 | 0x30c57e8U) << 28 | 0xb7d8a96U) << 28 | 0x54187c7U, + UINTMAX_MAX / 2551) +P (6, 90, + ((((uintmax_t) 0x437aU << 28 | 0xa4cb09bU) << 28 | 0x61d08b5U) << 28 | 0xd024d7dU) << 28 | 0xa5b1b55U, + UINTMAX_MAX / 2557) +P (22, 78, + ((((uintmax_t) 0x1b65U << 28 | 0x8bdca98U) << 28 | 0xaabb9b8U) << 28 | 0xba9d6e7U) << 28 | 0xae3501bU, + UINTMAX_MAX / 2579) +P (12, 68, + ((((uintmax_t) 0x3ea4U << 28 | 0x3624f3dU) << 28 | 0x8dfb0f5U) << 28 | 0x0865f71U) << 28 | 0xb90f1dfU, + UINTMAX_MAX / 2591) +P (2, 70, + ((((uintmax_t) 0x2d05U << 28 | 0x08fbf3cU) << 28 | 0x1ffcd73U) << 28 | 0x9c16828U) << 28 | 0x47df9e1U, + UINTMAX_MAX / 2593) +P (16, 62, + ((((uintmax_t) 0xc716U << 28 | 0xdcc634cU) << 28 | 0xa218ec4U) << 28 | 0x70a4d84U) << 28 | 0x2b90ed1U, + UINTMAX_MAX / 2609) +P (8, 60, + ((((uintmax_t) 0xe30bU << 28 | 0x71f669dU) << 28 | 0x7e49c1fU) << 28 | 0xb1be116U) << 28 | 0x98cc409U, + UINTMAX_MAX / 2617) +P (4, 62, + ((((uintmax_t) 0xa624U << 28 | 0x238d871U) << 28 | 0x4cde4d8U) << 28 | 0xd5512a7U) << 28 | 0xcd35d15U, + UINTMAX_MAX / 2621) +P (12, 54, + ((((uintmax_t) 0x6488U << 28 | 0x81e55c1U) << 28 | 0x30e7ca5U) << 28 | 0x4968217U) << 28 | 0x23e07f9U, + UINTMAX_MAX / 2633) +P (14, 42, + ((((uintmax_t) 0x8513U << 28 | 0xd3830beU) << 28 | 0x54ea0bcU) << 28 | 0xc8c6d7aU) << 28 | 0xbaa8167U, + UINTMAX_MAX / 2647) +P (10, 36, + ((((uintmax_t) 0x49b5U << 28 | 0x0a4f32fU) << 28 | 0x800c552U) << 28 | 0xc396c95U) << 28 | 0xeb619a1U, + UINTMAX_MAX / 2657) +P (2, 40, + ((((uintmax_t) 0xa1f0U << 28 | 0x049f0c9U) << 28 | 0xcbd166eU) << 28 | 0xb7e3808U) << 28 | 0x78ec74bU, + UINTMAX_MAX / 2659) +P (4, 44, + ((((uintmax_t) 0x25f8U << 28 | 0xe2df380U) << 28 | 0xb892e3dU) << 28 | 0x5513b50U) << 28 | 0x4537157U, + UINTMAX_MAX / 2663) +P (8, 40, + ((((uintmax_t) 0x1654U << 28 | 0xeb02967U) << 28 | 0x9b8e231U) << 28 | 0x4391f88U) << 28 | 0x62e948fU, + UINTMAX_MAX / 2671) +P (6, 36, + ((((uintmax_t) 0x304aU << 28 | 0xf935d6eU) << 28 | 0x11c97dcU) << 28 | 0x0b17cfcU) << 28 | 0xd81f5ddU, + UINTMAX_MAX / 2677) +P (6, 36, + ((((uintmax_t) 0xef7eU << 28 | 0x3c1c9feU) << 28 | 0xaa07d2fU) << 28 | 0x6bea3ecU) << 28 | 0x89044b3U, + UINTMAX_MAX / 2683) +P (4, 42, + ((((uintmax_t) 0xd02cU << 28 | 0x34f8dabU) << 28 | 0xf7ff3ceU) << 28 | 0x13a0586U) << 28 | 0x9f1b57fU, + UINTMAX_MAX / 2687) +P (2, 42, + ((((uintmax_t) 0xca7fU << 28 | 0x00185f3U) << 28 | 0x3e2ad75U) << 28 | 0x93474e8U) << 28 | 0xace3581U, + UINTMAX_MAX / 2689) +P (4, 48, + ((((uintmax_t) 0x613fU << 28 | 0x67e6e76U) << 28 | 0x10ebc07U) << 28 | 0xfc32929U) << 28 | 0x5a05e4dU, + UINTMAX_MAX / 2693) +P (6, 50, + ((((uintmax_t) 0x91e1U << 28 | 0x1433fa4U) << 28 | 0xf1ad7b0U) << 28 | 0x5377cbaU) << 28 | 0x4908d23U, + UINTMAX_MAX / 2699) +P (8, 46, + ((((uintmax_t) 0x99c5U << 28 | 0x2d7ced2U) << 28 | 0xe3e9ae7U) << 28 | 0xb2131a6U) << 28 | 0x28aa39bU, + UINTMAX_MAX / 2707) +P (4, 56, + ((((uintmax_t) 0xe699U << 28 | 0x2a662c6U) << 28 | 0x1d45f90U) << 28 | 0x31dbed7U) << 28 | 0xde01527U, + UINTMAX_MAX / 2711) +P (2, 64, + ((((uintmax_t) 0x86efU << 28 | 0x7ca673aU) << 28 | 0xf9ad876U) << 28 | 0x844b1c6U) << 28 | 0x70aa9a9U, + UINTMAX_MAX / 2713) +P (6, 70, + ((((uintmax_t) 0xb29bU << 28 | 0x59ea585U) << 28 | 0x098266aU) << 28 | 0x03f4533U) << 28 | 0xb08915fU, + UINTMAX_MAX / 2719) +P (10, 62, + ((((uintmax_t) 0x2d67U << 28 | 0x181bc45U) << 28 | 0x6ad8b1dU) << 28 | 0xbca579dU) << 28 | 0xb0a3999U, + UINTMAX_MAX / 2729) +P (2, 66, + ((((uintmax_t) 0xffa0U << 28 | 0x02ffe80U) << 28 | 0x0bffa00U) << 28 | 0x2ffe800U) << 28 | 0xbffa003U, + UINTMAX_MAX / 2731) +P (10, 60, + ((((uintmax_t) 0xef00U << 28 | 0x778c303U) << 28 | 0x1503a47U) << 28 | 0x8ab1a3eU) << 28 | 0x936139dU, + UINTMAX_MAX / 2741) +P (8, 54, + ((((uintmax_t) 0xd453U << 28 | 0x113a63aU) << 28 | 0x4bcdb66U) << 28 | 0xe722bc4U) << 28 | 0xc5cc095U, + UINTMAX_MAX / 2749) +P (4, 66, + ((((uintmax_t) 0x01c4U << 28 | 0x4cfeca8U) << 28 | 0x7f35a7aU) << 28 | 0x8f63c71U) << 28 | 0x7278541U, + UINTMAX_MAX / 2753) +P (14, 66, + ((((uintmax_t) 0x3887U << 28 | 0x72a189cU) << 28 | 0x2c09fdfU) << 28 | 0x6eee24dU) << 28 | 0x292bc2fU, + UINTMAX_MAX / 2767) +P (10, 60, + ((((uintmax_t) 0x835dU << 28 | 0x625cbd2U) << 28 | 0xa50339fU) << 28 | 0xc20d172U) << 28 | 0x37dd569U, + UINTMAX_MAX / 2777) +P (12, 54, + ((((uintmax_t) 0x8052U << 28 | 0x3e3ba9bU) << 28 | 0x7da8ccdU) << 28 | 0xf993235U) << 28 | 0x6bda2edU, + UINTMAX_MAX / 2789) +P (2, 60, + ((((uintmax_t) 0xced6U << 28 | 0x1518ac7U) << 28 | 0x0a2e697U) << 28 | 0xb5e332eU) << 28 | 0x80f68d7U, + UINTMAX_MAX / 2791) +P (6, 60, + ((((uintmax_t) 0x42d0U << 28 | 0x7f67b31U) << 28 | 0xe1cbd46U) << 28 | 0xeee26fdU) << 28 | 0x875e2e5U, + UINTMAX_MAX / 2797) +P (4, 60, + ((((uintmax_t) 0xa787U << 28 | 0x5b7cc16U) << 28 | 0x4cf4935U) << 28 | 0x48a8e65U) << 28 | 0x157a611U, + UINTMAX_MAX / 2801) +P (2, 76, + ((((uintmax_t) 0x69abU << 28 | 0x6d816a6U) << 28 | 0x6791ac2U) << 28 | 0x88d03beU) << 28 | 0x9b71e3bU, + UINTMAX_MAX / 2803) +P (16, 68, + ((((uintmax_t) 0xace8U << 28 | 0x1dc954bU) << 28 | 0xa58d081U) << 28 | 0x51186dbU) << 28 | 0x38937abU, + UINTMAX_MAX / 2819) +P (14, 64, + ((((uintmax_t) 0x7c3fU << 28 | 0xfa377bbU) << 28 | 0x52dd078U) << 28 | 0x00b9108U) << 28 | 0x95a45f1U, + UINTMAX_MAX / 2833) +P (4, 66, + ((((uintmax_t) 0x1f0aU << 28 | 0x8ec0eccU) << 28 | 0x79a36aeU) << 28 | 0xe0b0241U) << 28 | 0x82eec3dU, + UINTMAX_MAX / 2837) +P (6, 66, + ((((uintmax_t) 0x609eU << 28 | 0x7b00a15U) << 28 | 0xca83496U) << 28 | 0x323eda1U) << 28 | 0x73b5713U, + UINTMAX_MAX / 2843) +P (8, 66, + ((((uintmax_t) 0x7362U << 28 | 0x52ca08cU) << 28 | 0xcba690eU) << 28 | 0xd0dbd03U) << 28 | 0xae77c8bU, + UINTMAX_MAX / 2851) +P (6, 70, + ((((uintmax_t) 0xa370U << 28 | 0x463ffa4U) << 28 | 0x3eb91f7U) << 28 | 0x3800b78U) << 28 | 0x28dc119U, + UINTMAX_MAX / 2857) +P (4, 78, + ((((uintmax_t) 0x4586U << 28 | 0x7cbbe80U) << 28 | 0x502c61bU) << 28 | 0x61715ecU) << 28 | 0x22b7ca5U, + UINTMAX_MAX / 2861) +P (18, 74, + ((((uintmax_t) 0x508fU << 28 | 0xb1c027dU) << 28 | 0x607a5a8U) << 28 | 0x533a991U) << 28 | 0xead64bfU, + UINTMAX_MAX / 2879) +P (8, 70, + ((((uintmax_t) 0xbc40U << 28 | 0xe8adccbU) << 28 | 0xf2e057fU) << 28 | 0x6c7290eU) << 28 | 0x46c2e77U, + UINTMAX_MAX / 2887) +P (10, 66, + ((((uintmax_t) 0x73d9U << 28 | 0x78cc4e1U) << 28 | 0xdde3e63U) << 28 | 0x25e8d90U) << 28 | 0x7b01db1U, + UINTMAX_MAX / 2897) +P (6, 66, + ((((uintmax_t) 0x1c21U << 28 | 0x8299f86U) << 28 | 0xa86ec28U) << 28 | 0x909f701U) << 28 | 0x52a1067U, + UINTMAX_MAX / 2903) +P (6, 62, + ((((uintmax_t) 0x5da2U << 28 | 0x8a842e1U) << 28 | 0xd0a78eaU) << 28 | 0x7077af0U) << 28 | 0x997a0f5U, + UINTMAX_MAX / 2909) +P (8, 82, + ((((uintmax_t) 0x21f6U << 28 | 0xb281b61U) << 28 | 0xadae07eU) << 28 | 0x605cad1U) << 28 | 0x0c32e6dU, + UINTMAX_MAX / 2917) +P (10, 74, + ((((uintmax_t) 0x2e9dU << 28 | 0xf4a1477U) << 28 | 0x4c2dd47U) << 28 | 0x1b33570U) << 28 | 0x635b38fU, + UINTMAX_MAX / 2927) +P (12, 72, + ((((uintmax_t) 0x891aU << 28 | 0x37ebcabU) << 28 | 0x12ba3abU) << 28 | 0x559fa99U) << 28 | 0x7a61bb3U, + UINTMAX_MAX / 2939) +P (14, 66, + ((((uintmax_t) 0xccadU << 28 | 0xbad1f78U) << 28 | 0x11569adU) << 28 | 0x4bdae56U) << 28 | 0x2bddab9U, + UINTMAX_MAX / 2953) +P (4, 66, + ((((uintmax_t) 0xb335U << 28 | 0x6a92a82U) << 28 | 0x08d4a05U) << 28 | 0x5e1b2f2U) << 28 | 0xed62f45U, + UINTMAX_MAX / 2957) +P (6, 74, + ((((uintmax_t) 0x58bbU << 28 | 0x5017802U) << 28 | 0x12d5c03U) << 28 | 0xcd328b1U) << 28 | 0xa2dca9bU, + UINTMAX_MAX / 2963) +P (6, 72, + ((((uintmax_t) 0x7501U << 28 | 0xa365242U) << 28 | 0x0c3e6d2U) << 28 | 0x8f4e087U) << 28 | 0x33218a9U, + UINTMAX_MAX / 2969) +P (2, 78, + ((((uintmax_t) 0x18a4U << 28 | 0xbffa7c4U) << 28 | 0x073ceb6U) << 28 | 0x800b077U) << 28 | 0xf186293U, + UINTMAX_MAX / 2971) +P (28, 62, + ((((uintmax_t) 0xa633U << 28 | 0x0bdd838U) << 28 | 0xae2356fU) << 28 | 0xbd138c3U) << 28 | 0xfd9c207U, + UINTMAX_MAX / 2999) +P (2, 66, + ((((uintmax_t) 0xe2ffU << 28 | 0x0fc80a3U) << 28 | 0xc9104b1U) << 28 | 0x17ccd12U) << 28 | 0xae88a89U, + UINTMAX_MAX / 3001) +P (10, 68, + ((((uintmax_t) 0x1183U << 28 | 0xb2cce6eU) << 28 | 0xb2b722fU) << 28 | 0x1a1a044U) << 28 | 0x046bcebU, + UINTMAX_MAX / 3011) +P (8, 64, + ((((uintmax_t) 0xbfb9U << 28 | 0x73118d8U) << 28 | 0x666f154U) << 28 | 0x8aba0b0U) << 28 | 0x60541e3U, + UINTMAX_MAX / 3019) +P (4, 66, + ((((uintmax_t) 0xa152U << 28 | 0xbc81bc6U) << 28 | 0xc0e90cfU) << 28 | 0x4e808ceU) << 28 | 0xa111b2fU, + UINTMAX_MAX / 3023) +P (14, 72, + ((((uintmax_t) 0xaebdU << 28 | 0xa92d6f2U) << 28 | 0xef39bdbU) << 28 | 0xec1b4faU) << 28 | 0x855a475U, + UINTMAX_MAX / 3037) +P (4, 78, + ((((uintmax_t) 0x890cU << 28 | 0xb62bf18U) << 28 | 0x542ece3U) << 28 | 0xf794eb6U) << 28 | 0x00d7821U, + UINTMAX_MAX / 3041) +P (8, 72, + ((((uintmax_t) 0x699fU << 28 | 0xc793db6U) << 28 | 0x480a134U) << 28 | 0xfae0d9aU) << 28 | 0x11f7c59U, + UINTMAX_MAX / 3049) +P (12, 76, + ((((uintmax_t) 0x14fdU << 28 | 0xe8c0055U) << 28 | 0xa3d62f0U) << 28 | 0x06b0ccbU) << 28 | 0xbac085dU, + UINTMAX_MAX / 3061) +P (6, 96, + ((((uintmax_t) 0xa99cU << 28 | 0x01006adU) << 28 | 0x72efe3fU) << 28 | 0x45076dcU) << 28 | 0x3114733U, + UINTMAX_MAX / 3067) +P (12, 88, + ((((uintmax_t) 0x59e0U << 28 | 0xe778f96U) << 28 | 0xe7f8aeeU) << 28 | 0xf49bfa5U) << 28 | 0x8a1a1b7U, + UINTMAX_MAX / 3079) +P (4, 86, + ((((uintmax_t) 0x6edaU << 28 | 0x627b0f3U) << 28 | 0x2121a12U) << 28 | 0xc4218beU) << 28 | 0xa691fa3U, + UINTMAX_MAX / 3083) +P (6, 92, + ((((uintmax_t) 0xf88aU << 28 | 0x9107df8U) << 28 | 0x35b3ebcU) << 28 | 0x7504e3bU) << 28 | 0xd5e64f1U, + UINTMAX_MAX / 3089) +P (20, 78, + ((((uintmax_t) 0xcddaU << 28 | 0x9dee60fU) << 28 | 0xf969a4eU) << 28 | 0xe21c292U) << 28 | 0xbb92fadU, + UINTMAX_MAX / 3109) +P (10, 72, + ((((uintmax_t) 0x4ff1U << 28 | 0x8de982bU) << 28 | 0xfe5bc34U) << 28 | 0x338b732U) << 28 | 0x7a4bacfU, + UINTMAX_MAX / 3119) +P (2, 82, + ((((uintmax_t) 0x8fdfU << 28 | 0x30a40ccU) << 28 | 0xbc0053fU) << 28 | 0xe5c0833U) << 28 | 0xd6fccd1U, + UINTMAX_MAX / 3121) +P (16, 72, + ((((uintmax_t) 0x0ca6U << 28 | 0x26ae799U) << 28 | 0x8087cb1U) << 28 | 0xe707435U) << 28 | 0x35203c1U, + UINTMAX_MAX / 3137) +P (26, 54, + ((((uintmax_t) 0x3a1cU << 28 | 0xa6ba507U) << 28 | 0x340aaefU) << 28 | 0xbb5dcdfU) << 28 | 0xb4e43d3U, + UINTMAX_MAX / 3163) +P (4, 54, + ((((uintmax_t) 0x340eU << 28 | 0x8ccfe76U) << 28 | 0xd34c8caU) << 28 | 0x68467caU) << 28 | 0x5394f9fU, + UINTMAX_MAX / 3167) +P (2, 60, + ((((uintmax_t) 0xe94cU << 28 | 0xd3010cdU) << 28 | 0x82c978cU) << 28 | 0x51c0814U) << 28 | 0x08b97a1U, + UINTMAX_MAX / 3169) +P (12, 70, + ((((uintmax_t) 0x69d4U << 28 | 0x0f213ccU) << 28 | 0x2c1a132U) << 28 | 0x75a899dU) << 28 | 0xfa5dd65U, + UINTMAX_MAX / 3181) +P (6, 66, + ((((uintmax_t) 0xcc45U << 28 | 0x14a4d46U) << 28 | 0x1ff849eU) << 28 | 0x674cb62U) << 28 | 0xe1b78bbU, + UINTMAX_MAX / 3187) +P (4, 66, + ((((uintmax_t) 0x6351U << 28 | 0xbffadd9U) << 28 | 0x54cc6a3U) << 28 | 0x7ff5bb2U) << 28 | 0xa998d47U, + UINTMAX_MAX / 3191) +P (12, 56, + ((((uintmax_t) 0x77baU << 28 | 0x4e2aae1U) << 28 | 0x3a95c79U) << 28 | 0x2a999dbU) << 28 | 0x131a22bU, + UINTMAX_MAX / 3203) +P (6, 62, + ((((uintmax_t) 0x8d1fU << 28 | 0x82e96c6U) << 28 | 0xa42da1bU) << 28 | 0x48841bcU) << 28 | 0x30d29b9U, + UINTMAX_MAX / 3209) +P (8, 82, + ((((uintmax_t) 0x0ef5U << 28 | 0xe4c8da5U) << 28 | 0xc2683f0U) << 28 | 0x6721d20U) << 28 | 0x11d3471U, + UINTMAX_MAX / 3217) +P (4, 80, + ((((uintmax_t) 0x9ccfU << 28 | 0x98fef77U) << 28 | 0xeed5293U) << 28 | 0xfd2386dU) << 28 | 0xff85ebdU, + UINTMAX_MAX / 3221) +P (8, 78, + ((((uintmax_t) 0x9c06U << 28 | 0xa8de9f5U) << 28 | 0xb182e4cU) << 28 | 0xe72f54cU) << 28 | 0x07ed9b5U, + UINTMAX_MAX / 3229) +P (22, 62, + ((((uintmax_t) 0xdcf5U << 28 | 0x5e929f8U) << 28 | 0x99148d6U) << 28 | 0xd0fd3e7U) << 28 | 0x1dd827bU, + UINTMAX_MAX / 3251) +P (2, 66, + ((((uintmax_t) 0xcebcU << 28 | 0x664e397U) << 28 | 0x2d17d85U) << 28 | 0x6405fb1U) << 28 | 0xeed819dU, + UINTMAX_MAX / 3253) +P (4, 66, + ((((uintmax_t) 0x921eU << 28 | 0x0671f84U) << 28 | 0xc15b18eU) << 28 | 0xa8aceb7U) << 28 | 0xc443989U, + UINTMAX_MAX / 3257) +P (2, 70, + ((((uintmax_t) 0x4223U << 28 | 0xfa07b2bU) << 28 | 0x4830634U) << 28 | 0xa13026fU) << 28 | 0x62e5873U, + UINTMAX_MAX / 3259) +P (12, 60, + ((((uintmax_t) 0x4ceeU << 28 | 0xdc3bcb1U) << 28 | 0x806e31eU) << 28 | 0xea0208eU) << 28 | 0xc0af4f7U, + UINTMAX_MAX / 3271) +P (28, 44, + ((((uintmax_t) 0x969eU << 28 | 0xc4a2f55U) << 28 | 0xe703563U) << 28 | 0x679853cU) << 28 | 0xea598cbU, + UINTMAX_MAX / 3299) +P (2, 46, + ((((uintmax_t) 0xd886U << 28 | 0xa176bb8U) << 28 | 0x577a9c3U) << 28 | 0x0b3ebd6U) << 28 | 0x1f2d0edU, + UINTMAX_MAX / 3301) +P (6, 52, + ((((uintmax_t) 0xaaecU << 28 | 0xb97a633U) << 28 | 0xdda117eU) << 28 | 0xb9037bcU) << 28 | 0x7f43bc3U, + UINTMAX_MAX / 3307) +P (6, 48, + ((((uintmax_t) 0x1a59U << 28 | 0x7af0505U) << 28 | 0xcb9c2a5U) << 28 | 0x83e6f6cU) << 28 | 0xe016411U, + UINTMAX_MAX / 3313) +P (6, 52, + ((((uintmax_t) 0x76c8U << 28 | 0x6358785U) << 28 | 0x34d5cf1U) << 28 | 0x938d895U) << 28 | 0xf1a74c7U, + UINTMAX_MAX / 3319) +P (4, 50, + ((((uintmax_t) 0xb781U << 28 | 0xa8058bfU) << 28 | 0xac2e880U) << 28 | 0xcf1491cU) << 28 | 0x1e81e33U, + UINTMAX_MAX / 3323) +P (6, 60, + ((((uintmax_t) 0xc604U << 28 | 0x75cf8d9U) << 28 | 0x2a5f33cU) << 28 | 0x0f12886U) << 28 | 0xba8f301U, + UINTMAX_MAX / 3329) +P (2, 60, + ((((uintmax_t) 0x9d2aU << 28 | 0x8009d65U) << 28 | 0x861c20eU) << 28 | 0x4b786e0U) << 28 | 0xdfcc5abU, + UINTMAX_MAX / 3331) +P (12, 64, + ((((uintmax_t) 0x4053U << 28 | 0x511894dU) << 28 | 0xe137367U) << 28 | 0x2684c93U) << 28 | 0xf2d41efU, + UINTMAX_MAX / 3343) +P (4, 66, + ((((uintmax_t) 0xcbfdU << 28 | 0x3f19edcU) << 28 | 0xbd615e0U) << 28 | 0x0757badU) << 28 | 0xb35c51bU, + UINTMAX_MAX / 3347) +P (12, 74, + ((((uintmax_t) 0x303eU << 28 | 0x309fbe2U) << 28 | 0x6de63d6U) << 28 | 0xd84afe6U) << 28 | 0x6472edfU, + UINTMAX_MAX / 3359) +P (2, 88, + ((((uintmax_t) 0x1123U << 28 | 0x440491fU) << 28 | 0x00137fbU) << 28 | 0xbc0eedcU) << 28 | 0xbbfb6e1U, + UINTMAX_MAX / 3361) +P (10, 86, + ((((uintmax_t) 0x5ae7U << 28 | 0x03df7f3U) << 28 | 0x3de4825U) << 28 | 0x0f43aa0U) << 28 | 0x8a84983U, + UINTMAX_MAX / 3371) +P (2, 88, + ((((uintmax_t) 0x11fcU << 28 | 0xcff5122U) << 28 | 0x3abe804U) << 28 | 0x400e927U) << 28 | 0xb1acaa5U, + UINTMAX_MAX / 3373) +P (16, 74, + ((((uintmax_t) 0x80cbU << 28 | 0x0c29652U) << 28 | 0x5643d56U) << 28 | 0x572be34U) << 28 | 0xb9d3215U, + UINTMAX_MAX / 3389) +P (2, 76, + ((((uintmax_t) 0xc57dU << 28 | 0xffd958dU) << 28 | 0xb3c0487U) << 28 | 0x964ef77U) << 28 | 0x81c62bfU, + UINTMAX_MAX / 3391) +P (16, 62, + ((((uintmax_t) 0x9c4aU << 28 | 0x3cdce8eU) << 28 | 0xea48e29U) << 28 | 0xed84051U) << 28 | 0xc06e9afU, + UINTMAX_MAX / 3407) +P (6, 78, + ((((uintmax_t) 0x0cf9U << 28 | 0xeca5ea8U) << 28 | 0xc4381b0U) << 28 | 0x0acd11eU) << 28 | 0xd3f87fdU, + UINTMAX_MAX / 3413) +P (20, 66, + ((((uintmax_t) 0xfe48U << 28 | 0xee074edU) << 28 | 0x223a506U) << 28 | 0x3078817U) << 28 | 0x44152d9U, + UINTMAX_MAX / 3433) +P (16, 62, + ((((uintmax_t) 0xa409U << 28 | 0x342e04eU) << 28 | 0x6187e7aU) << 28 | 0x786459fU) << 28 | 0x5c1ccc9U, + UINTMAX_MAX / 3449) +P (8, 60, + ((((uintmax_t) 0xe4e5U << 28 | 0x902e357U) << 28 | 0x74c7f13U) << 28 | 0x08125d7U) << 28 | 0x4563281U, + UINTMAX_MAX / 3457) +P (4, 66, + ((((uintmax_t) 0x7588U << 28 | 0x9dfe5f6U) << 28 | 0xae1e539U) << 28 | 0x5310a48U) << 28 | 0x0b3e34dU, + UINTMAX_MAX / 3461) +P (2, 66, + ((((uintmax_t) 0x3784U << 28 | 0x6603fdeU) << 28 | 0xe1c3d35U) << 28 | 0x985baa8U) << 28 | 0xb202837U, + UINTMAX_MAX / 3463) +P (4, 66, + ((((uintmax_t) 0xb450U << 28 | 0xa1daeecU) << 28 | 0xba5ea96U) << 28 | 0x304a6e0U) << 28 | 0x52b3223U, + UINTMAX_MAX / 3467) +P (2, 70, + ((((uintmax_t) 0xfbf0U << 28 | 0xf20d6e5U) << 28 | 0x363d8bdU) << 28 | 0x8265fc9U) << 28 | 0xaf8fd45U, + UINTMAX_MAX / 3469) +P (22, 50, + ((((uintmax_t) 0xeeb1U << 28 | 0x9bd44b6U) << 28 | 0x27bee1bU) << 28 | 0x6d0b383U) << 28 | 0xec58e0bU, + UINTMAX_MAX / 3491) +P (8, 48, + ((((uintmax_t) 0x7386U << 28 | 0x8c53fdfU) << 28 | 0x38fe9c2U) << 28 | 0x1a7c3b6U) << 28 | 0x8b28503U, + UINTMAX_MAX / 3499) +P (12, 46, + ((((uintmax_t) 0xba13U << 28 | 0x65219cfU) << 28 | 0xbb2b623U) << 28 | 0x6fa180fU) << 28 | 0xbfd6007U, + UINTMAX_MAX / 3511) +P (6, 42, + ((((uintmax_t) 0xe16dU << 28 | 0xb1887adU) << 28 | 0xe4c6dc4U) << 28 | 0x2accd44U) << 28 | 0x0ed9595U, + UINTMAX_MAX / 3517) +P (10, 44, + ((((uintmax_t) 0x4cf0U << 28 | 0x1ab5e49U) << 28 | 0x04b7c7aU) << 28 | 0xcf71282U) << 28 | 0x36ba3f7U, + UINTMAX_MAX / 3527) +P (2, 52, + ((((uintmax_t) 0x6374U << 28 | 0x6df92e5U) << 28 | 0xaad5ff9U) << 28 | 0x09367a9U) << 28 | 0x87b9c79U, + UINTMAX_MAX / 3529) +P (4, 50, + ((((uintmax_t) 0x3fc3U << 28 | 0xb6abbabU) << 28 | 0xa82dcb6U) << 28 | 0x4efb252U) << 28 | 0xbfba705U, + UINTMAX_MAX / 3533) +P (6, 54, + ((((uintmax_t) 0x82b6U << 28 | 0x6ef6f53U) << 28 | 0x8c8ce98U) << 28 | 0x0d4f5a7U) << 28 | 0xe4cd25bU, + UINTMAX_MAX / 3539) +P (2, 66, + ((((uintmax_t) 0x20c0U << 28 | 0x04a07f3U) << 28 | 0xdab1fe1U) << 28 | 0xecc4ef2U) << 28 | 0x7b0c37dU, + UINTMAX_MAX / 3541) +P (6, 66, + ((((uintmax_t) 0xfb2aU << 28 | 0x13c68cbU) << 28 | 0xd185291U) << 28 | 0x11aebb8U) << 28 | 0x1d72653U, + UINTMAX_MAX / 3547) +P (10, 60, + ((((uintmax_t) 0x8908U << 28 | 0x46d1b90U) << 28 | 0x96d9c89U) << 28 | 0x51f985cU) << 28 | 0xb2c67edU, + UINTMAX_MAX / 3557) +P (2, 64, + ((((uintmax_t) 0xf7baU << 28 | 0x5f17856U) << 28 | 0xe44e8c4U) << 28 | 0x39d4fc5U) << 28 | 0x4e0b5d7U, + UINTMAX_MAX / 3559) +P (12, 60, + ((((uintmax_t) 0x811cU << 28 | 0x75db26eU) << 28 | 0xd4a0de8U) << 28 | 0x57bf318U) << 28 | 0x96d533bU, + UINTMAX_MAX / 3571) +P (10, 56, + ((((uintmax_t) 0x6fbcU << 28 | 0x83d31afU) << 28 | 0x37d51b6U) << 28 | 0x14bb4cbU) << 28 | 0x5023755U, + UINTMAX_MAX / 3581) +P (2, 60, + ((((uintmax_t) 0xdf7dU << 28 | 0xad8c657U) << 28 | 0x4f61193U) << 28 | 0x8a89e54U) << 28 | 0x73bf1ffU, + UINTMAX_MAX / 3583) +P (10, 66, + ((((uintmax_t) 0x48beU << 28 | 0xf2f618aU) << 28 | 0x70259eaU) << 28 | 0xc481acaU) << 28 | 0x34de039U, + UINTMAX_MAX / 3593) +P (14, 64, + ((((uintmax_t) 0x5c8cU << 28 | 0x86d951dU) << 28 | 0x4fd8414U) << 28 | 0xb961badU) << 28 | 0xf4809a7U, + UINTMAX_MAX / 3607) +P (6, 60, + ((((uintmax_t) 0x3e35U << 28 | 0xfddfd4eU) << 28 | 0xb85d876U) << 28 | 0x784fecbU) << 28 | 0xa352435U, + UINTMAX_MAX / 3613) +P (4, 60, + ((((uintmax_t) 0x3f46U << 28 | 0x480d05dU) << 28 | 0xfde06efU) << 28 | 0xa689bb5U) << 28 | 0x8aef5e1U, + UINTMAX_MAX / 3617) +P (6, 68, + ((((uintmax_t) 0xa7f5U << 28 | 0x427da20U) << 28 | 0x5cb49b2U) << 28 | 0xb2c4db9U) << 28 | 0xc3a8197U, + UINTMAX_MAX / 3623) +P (8, 66, + ((((uintmax_t) 0x1756U << 28 | 0x39f44bdU) << 28 | 0xcbf7d25U) << 28 | 0x03bc992U) << 28 | 0x279f8cfU, + UINTMAX_MAX / 3631) +P (6, 64, + ((((uintmax_t) 0xf7b1U << 28 | 0xba9905dU) << 28 | 0x798f3d2U) << 28 | 0xab9aec5U) << 28 | 0xca1541dU, + UINTMAX_MAX / 3637) +P (6, 66, + ((((uintmax_t) 0x0ec1U << 28 | 0xcf3b3d3U) << 28 | 0x4ea253eU) << 28 | 0x78ba146U) << 28 | 0x0f99af3U, + UINTMAX_MAX / 3643) +P (16, 60, + ((((uintmax_t) 0x694bU << 28 | 0xe954ddeU) << 28 | 0xd63b30aU) << 28 | 0x0142657U) << 28 | 0x2cfcb63U, + UINTMAX_MAX / 3659) +P (12, 56, + ((((uintmax_t) 0xd628U << 28 | 0x9612455U) << 28 | 0x13dfebeU) << 28 | 0xa857968U) << 28 | 0xf3cbd67U, + UINTMAX_MAX / 3671) +P (2, 60, + ((((uintmax_t) 0x63bcU << 28 | 0xcfb30dbU) << 28 | 0xaffca78U) << 28 | 0xdb213eeU) << 28 | 0xfe659e9U, + UINTMAX_MAX / 3673) +P (4, 62, + ((((uintmax_t) 0x7cf8U << 28 | 0xb08fb32U) << 28 | 0x328ba96U) << 28 | 0x3e8541aU) << 28 | 0x74d35f5U, + UINTMAX_MAX / 3677) +P (14, 70, + ((((uintmax_t) 0x99e7U << 28 | 0xb98849cU) << 28 | 0xbfb489eU) << 28 | 0x22d1527U) << 28 | 0x76f2e43U, + UINTMAX_MAX / 3691) +P (6, 70, + ((((uintmax_t) 0x1767U << 28 | 0xa90721dU) << 28 | 0xc686c05U) << 28 | 0xd10d39dU) << 28 | 0x1e1f291U, + UINTMAX_MAX / 3697) +P (4, 68, + ((((uintmax_t) 0x817cU << 28 | 0xb6e3047U) << 28 | 0xeff3d37U) << 28 | 0x4468dccU) << 28 | 0xaced1ddU, + UINTMAX_MAX / 3701) +P (8, 70, + ((((uintmax_t) 0x916dU << 28 | 0x896be15U) << 28 | 0xac3548dU) << 28 | 0x145c7d1U) << 28 | 0x10c5ad5U, + UINTMAX_MAX / 3709) +P (10, 74, + ((((uintmax_t) 0x50e1U << 28 | 0xc7f7bd5U) << 28 | 0xdf5f332U) << 28 | 0x51a39f5U) << 28 | 0xacb5737U, + UINTMAX_MAX / 3719) +P (8, 70, + ((((uintmax_t) 0xc1e7U << 28 | 0xf58f36eU) << 28 | 0x1b567a6U) << 28 | 0x6e50171U) << 28 | 0x443506fU, + UINTMAX_MAX / 3727) +P (6, 70, + ((((uintmax_t) 0xe72cU << 28 | 0xc7f8de3U) << 28 | 0x0f6e112U) << 28 | 0x4f69ad9U) << 28 | 0x1dd4cbdU, + UINTMAX_MAX / 3733) +P (6, 82, + ((((uintmax_t) 0x81e2U << 28 | 0x02e029aU) << 28 | 0x0d485ecU) << 28 | 0x24f8f2aU) << 28 | 0x61a2793U, + UINTMAX_MAX / 3739) +P (22, 62, + ((((uintmax_t) 0x66a5U << 28 | 0x216bc00U) << 28 | 0x45b35b4U) << 28 | 0x72148e6U) << 28 | 0x56b7a51U, + UINTMAX_MAX / 3761) +P (6, 66, + ((((uintmax_t) 0x3442U << 28 | 0x9973536U) << 28 | 0x29ba00aU) << 28 | 0xdf9570eU) << 28 | 0x1142f07U, + UINTMAX_MAX / 3767) +P (2, 78, + ((((uintmax_t) 0xc952U << 28 | 0x869f58aU) << 28 | 0x38eb489U) << 28 | 0xbf33b06U) << 28 | 0x5119789U, + UINTMAX_MAX / 3769) +P (10, 72, + ((((uintmax_t) 0xc462U << 28 | 0xe78b7b7U) << 28 | 0xebf2b8fU) << 28 | 0x0149803U) << 28 | 0xcb291ebU, + UINTMAX_MAX / 3779) +P (14, 60, + ((((uintmax_t) 0xa7b8U << 28 | 0x300e09dU) << 28 | 0xa9be883U) << 28 | 0x34b63afU) << 28 | 0xd190a31U, + UINTMAX_MAX / 3793) +P (4, 66, + ((((uintmax_t) 0x678fU << 28 | 0x45607afU) << 28 | 0xa226292U) << 28 | 0x0908d50U) << 28 | 0xd6aba7dU, + UINTMAX_MAX / 3797) +P (6, 74, + ((((uintmax_t) 0x3066U << 28 | 0x51b882dU) << 28 | 0xc63e557U) << 28 | 0xd8b018cU) << 28 | 0x5a33d53U, + UINTMAX_MAX / 3803) +P (18, 60, + ((((uintmax_t) 0x03f3U << 28 | 0xf0b9737U) << 28 | 0x01682eaU) << 28 | 0x1773092U) << 28 | 0xdc27ee5U, + UINTMAX_MAX / 3821) +P (2, 66, + ((((uintmax_t) 0x824fU << 28 | 0x6b12f35U) << 28 | 0x80e76caU) << 28 | 0xe5f38b7U) << 28 | 0xbf2e00fU, + UINTMAX_MAX / 3823) +P (10, 74, + ((((uintmax_t) 0xba8aU << 28 | 0x4084821U) << 28 | 0xa94f02bU) << 28 | 0xd02df34U) << 28 | 0xf695349U, + UINTMAX_MAX / 3833) +P (14, 64, + ((((uintmax_t) 0x1f9bU << 28 | 0xea70762U) << 28 | 0xf3f48ddU) << 28 | 0xfecd5beU) << 28 | 0x62e2eb7U, + UINTMAX_MAX / 3847) +P (4, 66, + ((((uintmax_t) 0xb7acU << 28 | 0x817ee73U) << 28 | 0x45119dbU) << 28 | 0xf849ebeU) << 28 | 0xc96c4a3U, + UINTMAX_MAX / 3851) +P (2, 66, + ((((uintmax_t) 0xf8c2U << 28 | 0x0286585U) << 28 | 0xe14dcdaU) << 28 | 0x31d4d01U) << 28 | 0x87357c5U, + UINTMAX_MAX / 3853) +P (10, 60, + ((((uintmax_t) 0x7727U << 28 | 0x2a58ab3U) << 28 | 0xdb276e3U) << 28 | 0x4e21cc2U) << 28 | 0xd5418a7U, + UINTMAX_MAX / 3863) +P (14, 52, + ((((uintmax_t) 0x61caU << 28 | 0x83edc68U) << 28 | 0xdb38968U) << 28 | 0xca5137aU) << 28 | 0x9e574adU, + UINTMAX_MAX / 3877) +P (4, 50, + ((((uintmax_t) 0x74f3U << 28 | 0x8879e60U) << 28 | 0x2c53a3eU) << 28 | 0xaa0d0f8U) << 28 | 0x04bfd19U, + UINTMAX_MAX / 3881) +P (8, 54, + ((((uintmax_t) 0x1c6fU << 28 | 0xe7c6996U) << 28 | 0x04df055U) << 28 | 0x4fb753cU) << 28 | 0xc20e9d1U, + UINTMAX_MAX / 3889) +P (18, 40, + ((((uintmax_t) 0x374dU << 28 | 0x408a62aU) << 28 | 0xda31679U) << 28 | 0x7afcca1U) << 28 | 0x300756bU, + UINTMAX_MAX / 3907) +P (4, 56, + ((((uintmax_t) 0xc8e2U << 28 | 0xbdb1524U) << 28 | 0x758f48bU) << 28 | 0x8d950b5U) << 28 | 0x2eeea77U, + UINTMAX_MAX / 3911) +P (6, 72, + ((((uintmax_t) 0xbfc1U << 28 | 0x421336fU) << 28 | 0x6ea5dfbU) << 28 | 0x6cd166aU) << 28 | 0xcabc185U, + UINTMAX_MAX / 3917) +P (2, 82, + ((((uintmax_t) 0x7daeU << 28 | 0x58b5560U) << 28 | 0x7b5454eU) << 28 | 0xb6c5ed9U) << 28 | 0x437a7afU, + UINTMAX_MAX / 3919) +P (4, 80, + ((((uintmax_t) 0xf1f8U << 28 | 0x4cbdc3dU) << 28 | 0x573f5d1U) << 28 | 0xeddbd91U) << 28 | 0xb790cdbU, + UINTMAX_MAX / 3923) +P (6, 78, + ((((uintmax_t) 0xa6abU << 28 | 0x9f4ec63U) << 28 | 0x4c6db93U) << 28 | 0xd714ea4U) << 28 | 0xd8948e9U, + UINTMAX_MAX / 3929) +P (2, 82, + ((((uintmax_t) 0x8198U << 28 | 0x742e1b7U) << 28 | 0xb68a73cU) << 28 | 0xa13ed81U) << 28 | 0x45188d3U, + UINTMAX_MAX / 3931) +P (12, 76, + ((((uintmax_t) 0x5ab3U << 28 | 0x52c7947U) << 28 | 0xbe09382U) << 28 | 0x9086016U) << 28 | 0xda89c57U, + UINTMAX_MAX / 3943) +P (4, 74, + ((((uintmax_t) 0xec69U << 28 | 0x9751239U) << 28 | 0xb9900d7U) << 28 | 0xda1f432U) << 28 | 0x124a543U, + UINTMAX_MAX / 3947) +P (20, 60, + ((((uintmax_t) 0xa4e1U << 28 | 0x58dc715U) << 28 | 0x1a22b7eU) << 28 | 0xad55816U) << 28 | 0x32fb07fU, + UINTMAX_MAX / 3967) +P (22, 60, + ((((uintmax_t) 0x4cd1U << 28 | 0xba8fa08U) << 28 | 0x1613a35U) << 28 | 0x443837fU) << 28 | 0x63ec3bdU, + UINTMAX_MAX / 3989) +P (12, 50, + ((((uintmax_t) 0x48afU << 28 | 0x92759a4U) << 28 | 0x3f37589U) << 28 | 0xe2b200eU) << 28 | 0x5519461U, + UINTMAX_MAX / 4001) +P (2, 54, + ((((uintmax_t) 0x9293U << 28 | 0xfc29b25U) << 28 | 0xcbafee9U) << 28 | 0xae44f0bU) << 28 | 0x7289c0bU, + UINTMAX_MAX / 4003) +P (4, 66, + ((((uintmax_t) 0xc02cU << 28 | 0xfa2fa91U) << 28 | 0xcaf9094U) << 28 | 0x387a277U) << 28 | 0xb9fa817U, + UINTMAX_MAX / 4007) +P (6, 66, + ((((uintmax_t) 0x15c0U << 28 | 0xd8627efU) << 28 | 0x28a2cc8U) << 28 | 0x4f1a58aU) << 28 | 0xbfc2c25U, + UINTMAX_MAX / 4013) +P (6, 72, + ((((uintmax_t) 0x1143U << 28 | 0x12ca6e3U) << 28 | 0x2522b71U) << 28 | 0x101d8e3U) << 28 | 0xc83377bU, + UINTMAX_MAX / 4019) +P (2, 72, + ((((uintmax_t) 0xcfadU << 28 | 0x7d3b04aU) << 28 | 0x5c91ec0U) << 28 | 0x24abe5cU) << 28 | 0x50ba69dU, + UINTMAX_MAX / 4021) +P (6, 72, + ((((uintmax_t) 0x9d46U << 28 | 0x3eef687U) << 28 | 0x26d7815U) << 28 | 0xde4eb36U) << 28 | 0x5a65d73U, + UINTMAX_MAX / 4027) +P (22, 62, + ((((uintmax_t) 0xe98eU << 28 | 0x1152e37U) << 28 | 0xc3cf309U) << 28 | 0xed28a76U) << 28 | 0xbcca931U, + UINTMAX_MAX / 4049) +P (2, 76, + ((((uintmax_t) 0xa002U << 28 | 0x05affefU) << 28 | 0xd280081U) << 28 | 0x6bffbf4U) << 28 | 0xa00205bU, + UINTMAX_MAX / 4051) +P (6, 72, + ((((uintmax_t) 0x1d87U << 28 | 0xfb74ed0U) << 28 | 0x1b4271fU) << 28 | 0x5c71543U) << 28 | 0xd558069U, + UINTMAX_MAX / 4057) +P (16, 60, + ((((uintmax_t) 0x7051U << 28 | 0x751852fU) << 28 | 0x74370f2U) << 28 | 0x5c64d0eU) << 28 | 0xc53b859U, + UINTMAX_MAX / 4073) +P (6, 60, + ((((uintmax_t) 0x88e1U << 28 | 0x6f867eeU) << 28 | 0x6d54296U) << 28 | 0xc02c2efU) << 28 | 0x1e0ff0fU, + UINTMAX_MAX / 4079) +P (12, 62, + ((((uintmax_t) 0xe8e8U << 28 | 0xc8bebb9U) << 28 | 0xaa05219U) << 28 | 0xa804816U) << 28 | 0x870a333U, + UINTMAX_MAX / 4091) +P (2, 64, + ((((uintmax_t) 0xc605U << 28 | 0x20f62e2U) << 28 | 0x8a79f6dU) << 28 | 0xe49add0U) << 28 | 0x971c555U, + UINTMAX_MAX / 4093) +P (6, 60, + ((((uintmax_t) 0x46c2U << 28 | 0xbb7cd89U) << 28 | 0x7639d52U) << 28 | 0x8087e68U) << 28 | 0x4c71aabU, + UINTMAX_MAX / 4099) +P (12, 66, + ((((uintmax_t) 0xfc73U << 28 | 0x53e15cbU) << 28 | 0x9127ea9U) << 28 | 0x4152c26U) << 28 | 0x9bcdeefU, + UINTMAX_MAX / 4111) +P (16, 74, + ((((uintmax_t) 0x3d78U << 28 | 0xe5c2d68U) << 28 | 0x0673803U) << 28 | 0x79450a3U) << 28 | 0xc2b6bdfU, + UINTMAX_MAX / 4127) +P (2, 82, + ((((uintmax_t) 0x4a66U << 28 | 0x8c7e3baU) << 28 | 0x4fbb8d2U) << 28 | 0xcd38bafU) << 28 | 0xe5373e1U, + UINTMAX_MAX / 4129) +P (4, 84, + ((((uintmax_t) 0x616eU << 28 | 0xb008eb5U) << 28 | 0xfb2b2c2U) << 28 | 0x9df2beaU) << 28 | 0x71d8badU, + UINTMAX_MAX / 4133) +P (6, 80, + ((((uintmax_t) 0x12bdU << 28 | 0xa25ba9aU) << 28 | 0x80c5ec1U) << 28 | 0x5862775U) << 28 | 0xf302e83U, + UINTMAX_MAX / 4139) +P (14, 76, + ((((uintmax_t) 0x98dfU << 28 | 0x642b264U) << 28 | 0x7a0d310U) << 28 | 0x16af2feU) << 28 | 0x55ede09U, + UINTMAX_MAX / 4153) +P (4, 74, + ((((uintmax_t) 0xcc45U << 28 | 0x381a1c7U) << 28 | 0x3878b3dU) << 28 | 0x26dbd9dU) << 28 | 0x1910715U, + UINTMAX_MAX / 4157) +P (2, 82, + ((((uintmax_t) 0x1344U << 28 | 0x23b36d8U) << 28 | 0x0d4ba62U) << 28 | 0x1dab2dfU) << 28 | 0xaf3dfbfU, + UINTMAX_MAX / 4159) +P (18, 66, + ((((uintmax_t) 0xd614U << 28 | 0x399c587U) << 28 | 0xff827b6U) << 28 | 0xf1d7ac2U) << 28 | 0x87338b1U, + UINTMAX_MAX / 4177) +P (24, 52, + ((((uintmax_t) 0x5c04U << 28 | 0x24ce751U) << 28 | 0xf620c8dU) << 28 | 0x9e9f0c3U) << 28 | 0xf9e7fd9U, + UINTMAX_MAX / 4201) +P (10, 48, + ((((uintmax_t) 0xa4cfU << 28 | 0x6d1fac5U) << 28 | 0x93e8e60U) << 28 | 0xa93f876U) << 28 | 0x2e914bbU, + UINTMAX_MAX / 4211) +P (6, 44, + ((((uintmax_t) 0x16b4U << 28 | 0x4c7d8a9U) << 28 | 0x7e358b1U) << 28 | 0x4371f24U) << 28 | 0x7c159c9U, + UINTMAX_MAX / 4217) +P (2, 52, + ((((uintmax_t) 0x7d2dU << 28 | 0xb0c132cU) << 28 | 0x9926a6dU) << 28 | 0xd3b4844U) << 28 | 0x71d4eb3U, + UINTMAX_MAX / 4219) +P (10, 44, + ((((uintmax_t) 0xc12aU << 28 | 0x5044c45U) << 28 | 0xfa4f4cdU) << 28 | 0x172f470U) << 28 | 0x1c1684dU, + UINTMAX_MAX / 4229) +P (2, 52, + ((((uintmax_t) 0x3b6aU << 28 | 0xabf51beU) << 28 | 0x4a6c103U) << 28 | 0x72e686eU) << 28 | 0xd8bb537U, + UINTMAX_MAX / 4231) +P (10, 48, + ((((uintmax_t) 0x0b0bU << 28 | 0xe43ba38U) << 28 | 0x61105bcU) << 28 | 0x07f7ca6U) << 28 | 0x5c5b071U, + UINTMAX_MAX / 4241) +P (2, 54, + ((((uintmax_t) 0x1841U << 28 | 0x2954499U) << 28 | 0xbb949abU) << 28 | 0x2b6170cU) << 28 | 0x3f78d9bU, + UINTMAX_MAX / 4243) +P (10, 74, + ((((uintmax_t) 0x67e4U << 28 | 0x8d552c3U) << 28 | 0xde0d1f3U) << 28 | 0xd74f461U) << 28 | 0xfe6f5b5U, + UINTMAX_MAX / 4253) +P (6, 78, + ((((uintmax_t) 0xa030U << 28 | 0x161ea7bU) << 28 | 0x38ae8dbU) << 28 | 0xc13f4b3U) << 28 | 0x1f3230bU, + UINTMAX_MAX / 4259) +P (2, 78, + ((((uintmax_t) 0xf2a9U << 28 | 0x8b90bb7U) << 28 | 0x2eec1d1U) << 28 | 0x420716eU) << 28 | 0x3f1572dU, + UINTMAX_MAX / 4261) +P (10, 78, + ((((uintmax_t) 0xa0c1U << 28 | 0xb926e68U) << 28 | 0x69f8ed5U) << 28 | 0xbe2fd4dU) << 28 | 0x805464fU, + UINTMAX_MAX / 4271) +P (2, 84, + ((((uintmax_t) 0xc4edU << 28 | 0x7ccb753U) << 28 | 0xef76ec6U) << 28 | 0x8b97c13U) << 28 | 0x6943851U, + UINTMAX_MAX / 4273) +P (10, 80, + ((((uintmax_t) 0x5305U << 28 | 0xada2a32U) << 28 | 0xce35e9eU) << 28 | 0x27918afU) << 28 | 0x7cfb473U, + UINTMAX_MAX / 4283) +P (6, 84, + ((((uintmax_t) 0x0b38U << 28 | 0xa4bcd9fU) << 28 | 0xaa0cc5eU) << 28 | 0xc8ab6c3U) << 28 | 0x6ac7f41U, + UINTMAX_MAX / 4289) +P (8, 94, + ((((uintmax_t) 0xc8f3U << 28 | 0x8c6bf3dU) << 28 | 0x8adf696U) << 28 | 0x4076331U) << 28 | 0xdd90979U, + UINTMAX_MAX / 4297) +P (30, 70, + ((((uintmax_t) 0x3ed4U << 28 | 0xdeb0e60U) << 28 | 0x6fb3530U) << 28 | 0x198eff7U) << 28 | 0x7b002d7U, + UINTMAX_MAX / 4327) +P (10, 72, + ((((uintmax_t) 0xe304U << 28 | 0x8b8a2eaU) << 28 | 0x19da93aU) << 28 | 0xf7cb958U) << 28 | 0x3ece011U, + UINTMAX_MAX / 4337) +P (2, 82, + ((((uintmax_t) 0x63b5U << 28 | 0xa908ca7U) << 28 | 0xcb9bb34U) << 28 | 0xce06f64U) << 28 | 0x3d9883bU, + UINTMAX_MAX / 4339) +P (10, 74, + ((((uintmax_t) 0xd58fU << 28 | 0x1940b11U) << 28 | 0x0300879U) << 28 | 0xf767e52U) << 28 | 0x8708c55U, + UINTMAX_MAX / 4349) +P (8, 84, + ((((uintmax_t) 0xa973U << 28 | 0xcee1454U) << 28 | 0x5fa7a18U) << 28 | 0x5332d2eU) << 28 | 0xf2313cdU, + UINTMAX_MAX / 4357) +P (6, 84, + ((((uintmax_t) 0xc544U << 28 | 0x1f37189U) << 28 | 0x5bd3a43U) << 28 | 0xb611b84U) << 28 | 0xc8332a3U, + UINTMAX_MAX / 4363) +P (10, 78, + ((((uintmax_t) 0xc201U << 28 | 0x49b4038U) << 28 | 0x330c3c2U) << 28 | 0xe215e4fU) << 28 | 0x43bb63dU, + UINTMAX_MAX / 4373) +P (18, 66, + ((((uintmax_t) 0xfcf7U << 28 | 0xe56a2a8U) << 28 | 0xf4dd4f9U) << 28 | 0x4b9dd22U) << 28 | 0xce44e97U, + UINTMAX_MAX / 4391) +P (6, 66, + ((((uintmax_t) 0xc364U << 28 | 0x3300862U) << 28 | 0x47258d8U) << 28 | 0x95834a1U) << 28 | 0xdb166a5U, + UINTMAX_MAX / 4397) +P (12, 72, + ((((uintmax_t) 0xa5f1U << 28 | 0xb76bd2bU) << 28 | 0x5f83834U) << 28 | 0x7d2f16dU) << 28 | 0x19b8d09U, + UINTMAX_MAX / 4409) +P (12, 62, + ((((uintmax_t) 0x9b97U << 28 | 0x89df750U) << 28 | 0x6e4081bU) << 28 | 0x54d4dc4U) << 28 | 0x5b7d98dU, + UINTMAX_MAX / 4421) +P (2, 70, + ((((uintmax_t) 0x612dU << 28 | 0xe5f44efU) << 28 | 0x2839e11U) << 28 | 0x7ac30d9U) << 28 | 0xa044877U, + UINTMAX_MAX / 4423) +P (18, 66, + ((((uintmax_t) 0x9811U << 28 | 0x1015369U) << 28 | 0x6e9ec0eU) << 28 | 0x10b78a6U) << 28 | 0x7a526e9U, + UINTMAX_MAX / 4441) +P (6, 66, + ((((uintmax_t) 0xa197U << 28 | 0x1cf4c64U) << 28 | 0x2a99792U) << 28 | 0xda68a81U) << 28 | 0x8688a9fU, + UINTMAX_MAX / 4447) +P (4, 66, + ((((uintmax_t) 0x0f02U << 28 | 0xeeeb01cU) << 28 | 0x870bacfU) << 28 | 0x2b6c87fU) << 28 | 0x741f84bU, + UINTMAX_MAX / 4451) +P (6, 62, + ((((uintmax_t) 0x8d2eU << 28 | 0x94fe559U) << 28 | 0x50d09d2U) << 28 | 0x64f9bd4U) << 28 | 0x1e18ed9U, + UINTMAX_MAX / 4457) +P (6, 60, + ((((uintmax_t) 0xa84bU << 28 | 0xb74450fU) << 28 | 0xe38c973U) << 28 | 0x3cbeaa9U) << 28 | 0x7166d8fU, + UINTMAX_MAX / 4463) +P (18, 66, + ((((uintmax_t) 0x495aU << 28 | 0xe4dcfaaU) << 28 | 0xfd8b1c9U) << 28 | 0xf475b02U) << 28 | 0x1d22e81U, + UINTMAX_MAX / 4481) +P (2, 66, + ((((uintmax_t) 0x6837U << 28 | 0x46fb256U) << 28 | 0x74d6073U) << 28 | 0x1f76f2eU) << 28 | 0xc4c852bU, + UINTMAX_MAX / 4483) +P (10, 68, + ((((uintmax_t) 0xf6ffU << 28 | 0x5f8d222U) << 28 | 0x12931daU) << 28 | 0xf6f0c97U) << 28 | 0x8f69945U, + UINTMAX_MAX / 4493) +P (14, 60, + ((((uintmax_t) 0xd49aU << 28 | 0xb982b2bU) << 28 | 0x1c92174U) << 28 | 0x9c8ad20U) << 28 | 0xc61ec93U, + UINTMAX_MAX / 4507) +P (6, 70, + ((((uintmax_t) 0x2f4fU << 28 | 0x04983ffU) << 28 | 0xc5e9e09U) << 28 | 0x307ff8bU) << 28 | 0xd3c1261U, + UINTMAX_MAX / 4513) +P (4, 74, + ((((uintmax_t) 0xadefU << 28 | 0x566dd5fU) << 28 | 0x282eb33U) << 28 | 0x4a69fb5U) << 28 | 0xa486e2dU, + UINTMAX_MAX / 4517) +P (2, 78, + ((((uintmax_t) 0xd118U << 28 | 0x137ccc9U) << 28 | 0xe647f1fU) << 28 | 0x36c7bf3U) << 28 | 0x1578617U, + UINTMAX_MAX / 4519) +P (4, 80, + ((((uintmax_t) 0x01cfU << 28 | 0xa9f7f67U) << 28 | 0xdc3aa31U) << 28 | 0xebbcc27U) << 28 | 0x9ea6103U, + UINTMAX_MAX / 4523) +P (24, 74, + ((((uintmax_t) 0x9c1fU << 28 | 0x4da38ddU) << 28 | 0x2657442U) << 28 | 0xe2aad11U) << 28 | 0x9f466ebU, + UINTMAX_MAX / 4547) +P (2, 88, + ((((uintmax_t) 0x41acU << 28 | 0x994bcdcU) << 28 | 0xd3d2c10U) << 28 | 0x6ec05a0U) << 28 | 0xab1450dU, + UINTMAX_MAX / 4549) +P (12, 78, + ((((uintmax_t) 0x556dU << 28 | 0x480324aU) << 28 | 0x6d002b1U) << 28 | 0xb38db92U) << 28 | 0xa99e731U, + UINTMAX_MAX / 4561) +P (6, 76, + ((((uintmax_t) 0x9c39U << 28 | 0x2ce6456U) << 28 | 0x52d9278U) << 28 | 0x4ae377eU) << 28 | 0x67071e7U, + UINTMAX_MAX / 4567) +P (16, 66, + ((((uintmax_t) 0xcdc8U << 28 | 0x79fec56U) << 28 | 0x781893eU) << 28 | 0x9e1471bU) << 28 | 0xa6671d7U, + UINTMAX_MAX / 4583) +P (8, 60, + ((((uintmax_t) 0x375eU << 28 | 0xf621586U) << 28 | 0x1b19982U) << 28 | 0xc29b59dU) << 28 | 0x4d73d0fU, + UINTMAX_MAX / 4591) +P (6, 60, + ((((uintmax_t) 0x75c7U << 28 | 0xfa35597U) << 28 | 0xdcce0c2U) << 28 | 0x3dd0712U) << 28 | 0x8b5525dU, + UINTMAX_MAX / 4597) +P (6, 60, + ((((uintmax_t) 0x4083U << 28 | 0xb2ce1ccU) << 28 | 0xf1d164dU) << 28 | 0x4e5ce0eU) << 28 | 0x9245133U, + UINTMAX_MAX / 4603) +P (18, 52, + ((((uintmax_t) 0x9d9cU << 28 | 0x64622aeU) << 28 | 0x10824c8U) << 28 | 0xfd1057cU) << 28 | 0x09f8cc5U, + UINTMAX_MAX / 4621) +P (16, 42, + ((((uintmax_t) 0x02b4U << 28 | 0x87cfdbcU) << 28 | 0x89230eaU) << 28 | 0x1516e94U) << 28 | 0xf394035U, + UINTMAX_MAX / 4637) +P (2, 52, + ((((uintmax_t) 0x32e1U << 28 | 0x4328c7fU) << 28 | 0xce8e0b5U) << 28 | 0xe3319c5U) << 28 | 0x64ee9dfU, + UINTMAX_MAX / 4639) +P (4, 60, + ((((uintmax_t) 0xf929U << 28 | 0xbd10602U) << 28 | 0x894a612U) << 28 | 0x6a69f90U) << 28 | 0xd822d8bU, + UINTMAX_MAX / 4643) +P (6, 72, + ((((uintmax_t) 0xa0bcU << 28 | 0x8b6d15cU) << 28 | 0x03be950U) << 28 | 0x1ed6348U) << 28 | 0x857aa19U, + UINTMAX_MAX / 4649) +P (2, 72, + ((((uintmax_t) 0xf169U << 28 | 0xf4a94f1U) << 28 | 0x86231deU) << 28 | 0x344a324U) << 28 | 0xeee1c83U, + UINTMAX_MAX / 4651) +P (6, 72, + ((((uintmax_t) 0xafdaU << 28 | 0x2e10d23U) << 28 | 0x58ab11dU) << 28 | 0xd9690cbU) << 28 | 0x2c406d1U, + UINTMAX_MAX / 4657) +P (6, 70, + ((((uintmax_t) 0x70eeU << 28 | 0x0c3017bU) << 28 | 0x7881908U) << 28 | 0xd6c5178U) << 28 | 0xd5e4387U, + UINTMAX_MAX / 4663) +P (10, 78, + ((((uintmax_t) 0x2b47U << 28 | 0x45bd0e3U) << 28 | 0x051844cU) << 28 | 0xea4050aU) << 28 | 0x3e8fdc1U, + UINTMAX_MAX / 4673) +P (6, 80, + ((((uintmax_t) 0x5aa8U << 28 | 0x9fc2b8dU) << 28 | 0x1a891c1U) << 28 | 0x14a06acU) << 28 | 0xc83f777U, + UINTMAX_MAX / 4679) +P (12, 92, + ((((uintmax_t) 0x834dU << 28 | 0x385f9c7U) << 28 | 0x5a89320U) << 28 | 0xb060ebcU) << 28 | 0x0ea01dbU, + UINTMAX_MAX / 4691) +P (12, 84, + ((((uintmax_t) 0xcbb0U << 28 | 0x86fea3aU) << 28 | 0x06a40feU) << 28 | 0x50045acU) << 28 | 0xb78c99fU, + UINTMAX_MAX / 4703) +P (18, 68, + ((((uintmax_t) 0x4bceU << 28 | 0xc35242bU) << 28 | 0x29eaa29U) << 28 | 0x1a68705U) << 28 | 0xb196e91U, + UINTMAX_MAX / 4721) +P (2, 70, + ((((uintmax_t) 0x1cf1U << 28 | 0xbea1a20U) << 28 | 0x324cdc1U) << 28 | 0x042c724U) << 28 | 0x273e2bbU, + UINTMAX_MAX / 4723) +P (6, 70, + ((((uintmax_t) 0x530aU << 28 | 0xaa16d83U) << 28 | 0x622522cU) << 28 | 0xee680bbU) << 28 | 0x165b7c9U, + UINTMAX_MAX / 4729) +P (4, 68, + ((((uintmax_t) 0x6dbeU << 28 | 0xc4fd598U) << 28 | 0x42343fdU) << 28 | 0x2ff9f12U) << 28 | 0xe0776d5U, + UINTMAX_MAX / 4733) +P (18, 62, + ((((uintmax_t) 0x9327U << 28 | 0xd1e0357U) << 28 | 0x3cba016U) << 28 | 0x6a5da63U) << 28 | 0xaf2cc6fU, + UINTMAX_MAX / 4751) +P (8, 58, + ((((uintmax_t) 0xfe7eU << 28 | 0x69c1b53U) << 28 | 0xa5d7dedU) << 28 | 0xd16a593U) << 28 | 0x0408d27U, + UINTMAX_MAX / 4759) +P (24, 48, + ((((uintmax_t) 0xdba8U << 28 | 0x6fc17c3U) << 28 | 0xa04d12aU) << 28 | 0xdf30c26U) << 28 | 0x528844fU, + UINTMAX_MAX / 4783) +P (4, 74, + ((((uintmax_t) 0x4928U << 28 | 0x7ba43b4U) << 28 | 0x0f9d99aU) << 28 | 0x48d6572U) << 28 | 0xb5eec7bU, + UINTMAX_MAX / 4787) +P (2, 82, + ((((uintmax_t) 0xfd7cU << 28 | 0xd1c2bd5U) << 28 | 0x72fbc6eU) << 28 | 0x8bf2877U) << 28 | 0x503cb9dU, + UINTMAX_MAX / 4789) +P (4, 84, + ((((uintmax_t) 0x1951U << 28 | 0x21b3d5eU) << 28 | 0x975e0eaU) << 28 | 0x27a191aU) << 28 | 0x7045389U, + UINTMAX_MAX / 4793) +P (6, 90, + ((((uintmax_t) 0xced1U << 28 | 0x00e827bU) << 28 | 0x0325b6eU) << 28 | 0xb091f34U) << 28 | 0xdd45d3fU, + UINTMAX_MAX / 4799) +P (2, 102, + ((((uintmax_t) 0xe394U << 28 | 0x4a02e12U) << 28 | 0x05dd8dcU) << 28 | 0x8a6cabbU) << 28 | 0x2937d41U, + UINTMAX_MAX / 4801) +P (12, 96, + ((((uintmax_t) 0x3e2dU << 28 | 0xa2eb33fU) << 28 | 0x746e6bcU) << 28 | 0x2f04f25U) << 28 | 0x4922a05U, + UINTMAX_MAX / 4813) +P (4, 102, + ((((uintmax_t) 0xf205U << 28 | 0xd890fadU) << 28 | 0x84cf441U) << 28 | 0x431f4d6U) << 28 | 0xeb38631U, + UINTMAX_MAX / 4817) +P (14, 100, + ((((uintmax_t) 0x7974U << 28 | 0xa2271b8U) << 28 | 0x09c017bU) << 28 | 0xd717435U) << 28 | 0xa08291fU, + UINTMAX_MAX / 4831) +P (30, 72, + ((((uintmax_t) 0xf434U << 28 | 0x0837312U) << 28 | 0x2b4a342U) << 28 | 0x32df9c9U) << 28 | 0x1fc1a55U, + UINTMAX_MAX / 4861) +P (10, 66, + ((((uintmax_t) 0x4c78U << 28 | 0x09ab985U) << 28 | 0xc13f8a4U) << 28 | 0x651e1d5U) << 28 | 0x382eab7U, + UINTMAX_MAX / 4871) +P (6, 66, + ((((uintmax_t) 0x9273U << 28 | 0x60376e4U) << 28 | 0x8c0bf7cU) << 28 | 0xfb5409dU) << 28 | 0xe4cf3c5U, + UINTMAX_MAX / 4877) +P (12, 62, + ((((uintmax_t) 0x47a1U << 28 | 0xbf627e6U) << 28 | 0x7276dcdU) << 28 | 0xd636fb0U) << 28 | 0x68b9929U, + UINTMAX_MAX / 4889) +P (14, 54, + ((((uintmax_t) 0x3f55U << 28 | 0x93b5db8U) << 28 | 0xe2d01eeU) << 28 | 0x8f95e74U) << 28 | 0x0462c97U, + UINTMAX_MAX / 4903) +P (6, 58, + ((((uintmax_t) 0x29aaU << 28 | 0xc9d12b8U) << 28 | 0xb650349U) << 28 | 0x0f97b3aU) << 28 | 0x758b4a5U, + UINTMAX_MAX / 4909) +P (10, 50, + ((((uintmax_t) 0x3c51U << 28 | 0x65394caU) << 28 | 0x8d3eb64U) << 28 | 0x1431563U) << 28 | 0xc441287U, + UINTMAX_MAX / 4919) +P (12, 42, + ((((uintmax_t) 0xf258U << 28 | 0x91c808bU) << 28 | 0x8d292b7U) << 28 | 0x43dad3eU) << 28 | 0xc45916bU, + UINTMAX_MAX / 4931) +P (2, 54, + ((((uintmax_t) 0x708fU << 28 | 0xa57e92aU) << 28 | 0x8098c7bU) << 28 | 0x188be8fU) << 28 | 0x55c878dU, + UINTMAX_MAX / 4933) +P (4, 56, + ((((uintmax_t) 0x983dU << 28 | 0xcf2775dU) << 28 | 0xcd7ead8U) << 28 | 0x05648b2U) << 28 | 0xca54ef9U, + UINTMAX_MAX / 4937) +P (6, 56, + ((((uintmax_t) 0x729cU << 28 | 0xb7c09bcU) << 28 | 0x91a2776U) << 28 | 0xdbe6eefU) << 28 | 0x60123afU, + UINTMAX_MAX / 4943) +P (8, 255, + ((((uintmax_t) 0xe8f0U << 28 | 0x5536727U) << 28 | 0xa8b8137U) << 28 | 0x11525e6U) << 28 | 0xa9e8867U, + UINTMAX_MAX / 4951) +P (6, 255, + ((((uintmax_t) 0xbdf2U << 28 | 0x781fd01U) << 28 | 0x3014a85U) << 28 | 0xc2215cbU) << 28 | 0x383d8f5U, + UINTMAX_MAX / 4957) +P (10, 255, + ((((uintmax_t) 0x0439U << 28 | 0xee5f8e3U) << 28 | 0x30656e5U) << 28 | 0x8f554c8U) << 28 | 0x9825857U, + UINTMAX_MAX / 4967) +P (2, 255, + ((((uintmax_t) 0x77adU << 28 | 0xfb283c9U) << 28 | 0x63b0a8fU) << 28 | 0xbd3b17cU) << 28 | 0x01dacd9U, + UINTMAX_MAX / 4969) +P (4, 255, + ((((uintmax_t) 0x5d7bU << 28 | 0xe851f3fU) << 28 | 0x443554cU) << 28 | 0x8c39dc7U) << 28 | 0xaedee65U, + UINTMAX_MAX / 4973) +P (14, 255, + ((((uintmax_t) 0x373cU << 28 | 0x1c8a99bU) << 28 | 0x1412465U) << 28 | 0x3ac6ddaU) << 28 | 0x86cd3b3U, + UINTMAX_MAX / 4987) +P (6, 255, + ((((uintmax_t) 0x5b50U << 28 | 0xa687decU) << 28 | 0x6a07b0dU) << 28 | 0x61c6791U) << 28 | 0xa9c2c81U, + UINTMAX_MAX / 4993) +P (6, 255, + ((((uintmax_t) 0x0b44U << 28 | 0x292c4bfU) << 28 | 0xef9cdb6U) << 28 | 0x27a3009U) << 28 | 0x0354237U, + UINTMAX_MAX / 4999) + +#undef FIRST_OMITTED_PRIME +#define FIRST_OMITTED_PRIME 5003 |