Convert floats with Eisel-Lemire when std::from_chars is unavailable (#5617)

* Convert floats with Eisel-Lemire when std::from_chars is unavailable

Float tokens that Clinger's fast path cannot convert (e.g. the 17-digit
coordinates of canada.json) went to strtod unless std::from_chars was
available. It is not used in C++11/14, and not with libc++, which does not
define __cpp_lib_to_chars. The Eisel-Lemire algorithm (after fast_float's
compute_float) now converts them with integer arithmetic, correctly rounded
for any token with at most 19 significant digits. Longer tokens are
truncated; the result is used if w and w + 1 round alike, else strtod
decides as before. Overflow still yields infinity (out_of_range.406).

The table of powers of five (fast_float's) lives in pow5_table.hpp; a unit
test recomputes every entry with big-integer arithmetic. Further tests:
known values generated with Python (whose float() is correctly rounded),
200,000 round trips through to_chars, and the 128-bit multiplication and
leading-zero count against big-integer references (both with and without a
128-bit type). Checked against strtod on 6.5 million tokens, among them
60,000 exact halfway cases: no difference.

json::parse on canada.json: -8.6% (C++11), -7.6% (C++17, Apple clang);
other files unchanged. Compile time of a TU including json.hpp: +0.7%.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>

* Fix CI: unused parse result and find() == npos in the Eisel-Lemire tests

GCC (-Werror=unused-result) rejected CHECK_THROWS_WITH_AS(json::parse(...))
because parse() is [[nodiscard]]; assign the result to a dummy json as the
other tests do. clang-tidy flagged longer.find('.') == npos with
abseil-string-find-str-contains; store the position in a variable first.

Signed-off-by: Niels Lohmann <mail@nlohmann.me>

---------

Signed-off-by: Niels Lohmann <mail@nlohmann.me>
This commit is contained in:
Niels Lohmann
2026-09-30 20:06:26 +02:00
committed by GitHub
parent 5b9ffae8bb
commit d268eaa693
8 changed files with 2008 additions and 8 deletions

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@@ -0,0 +1,81 @@
// __ _____ _____ _____
// __| | __| | | | JSON for Modern C++
// | | |__ | | | | | | version 3.12.0
// |_____|_____|_____|_|___| https://github.com/nlohmann/json
//
// SPDX-FileCopyrightText: 2013-2026 Niels Lohmann <https://nlohmann.me>
// SPDX-License-Identifier: MIT
#pragma once
#include <cstdint> // uint64_t
#include <nlohmann/detail/abi_macros.hpp>
// Portable bit-level helpers for the number and string scanners. They use
// compiler builtins where available and plain C++ otherwise, so they need no
// platform headers and work regardless of byte order.
NLOHMANN_JSON_NAMESPACE_BEGIN
namespace detail
{
/// number of leading zero bits of x (x != 0)
inline int count_leading_zeros(std::uint64_t x) noexcept
{
#if defined(__GNUC__) || defined(__clang__)
return __builtin_clzll(x);
#else
int n = 0;
for (int shift = 32; shift != 0; shift >>= 1)
{
if ((x >> (64 - shift)) == 0)
{
n += shift;
x <<= shift;
}
}
return n;
#endif
}
/// the 128-bit product of two 64-bit numbers
struct uint128_parts
{
std::uint64_t low;
std::uint64_t high;
};
inline uint128_parts full_multiplication(std::uint64_t a, std::uint64_t b) noexcept
{
#if defined(__SIZEOF_INT128__)
__extension__ using uint128 = unsigned __int128;
const uint128 r = static_cast<uint128>(a) * b;
return {static_cast<std::uint64_t>(r), static_cast<std::uint64_t>(r >> 64u)};
#else
const std::uint64_t a_lo = a & 0xFFFFFFFFu;
const std::uint64_t a_hi = a >> 32u;
const std::uint64_t b_lo = b & 0xFFFFFFFFu;
const std::uint64_t b_hi = b >> 32u;
const std::uint64_t lo_lo = a_lo * b_lo;
const std::uint64_t hi_lo = a_hi * b_lo;
const std::uint64_t lo_hi = a_lo * b_hi;
const std::uint64_t hi_hi = a_hi * b_hi;
const std::uint64_t cross = (lo_lo >> 32u) + (hi_lo & 0xFFFFFFFFu) + lo_hi;
return {(cross << 32u) | (lo_lo & 0xFFFFFFFFu), (hi_lo >> 32u) + (cross >> 32u) + hi_hi};
#endif
}
/// eight bytes as a little-endian word (compilers fold this into one load on
/// little-endian targets)
inline std::uint64_t read_eight_bytes(const char* p) noexcept
{
const auto* b = reinterpret_cast<const unsigned char*>(p); // NOLINT(cppcoreguidelines-pro-type-reinterpret-cast)
return static_cast<std::uint64_t>(b[0]) | (static_cast<std::uint64_t>(b[1]) << 8u)
| (static_cast<std::uint64_t>(b[2]) << 16u) | (static_cast<std::uint64_t>(b[3]) << 24u)
| (static_cast<std::uint64_t>(b[4]) << 32u) | (static_cast<std::uint64_t>(b[5]) << 40u)
| (static_cast<std::uint64_t>(b[6]) << 48u) | (static_cast<std::uint64_t>(b[7]) << 56u);
}
} // namespace detail
NLOHMANN_JSON_NAMESPACE_END

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@@ -3,6 +3,7 @@
// | | |__ | | | | | | version 3.12.0
// |_____|_____|_____|_|___| https://github.com/nlohmann/json
//
// SPDX-FileCopyrightText: 2021 The fast_float authors <https://github.com/fastfloat/fast_float>
// SPDX-FileCopyrightText: 2013-2026 Niels Lohmann <https://nlohmann.me>
// SPDX-License-Identifier: MIT
@@ -14,9 +15,12 @@
#include <cstddef> // size_t
#include <cstdint> // int64_t, uint64_t
#include <cstdlib> // strtof, strtod, strtold
#include <cstring> // memcpy
#include <limits> // numeric_limits
#include <string> // string
#include <nlohmann/detail/bit_ops.hpp>
#include <nlohmann/detail/input/pow5_table.hpp>
#include <nlohmann/detail/macro_scope.hpp>
// std::from_chars lives in <charconv>, but being in C++17 mode does not
@@ -297,6 +301,233 @@ bool parse_float_from_chars(const char* first, const char* last, FloatType& out)
#endif
}
/// whether the eight bytes of @a v (see read_eight_bytes()) are ASCII digits
/// (after fast_float's is_made_of_eight_digits_fast)
inline bool is_eight_digits(std::uint64_t v) noexcept
{
return ((v & 0xF0F0F0F0F0F0F0F0u) | (((v + 0x0606060606060606u) & 0xF0F0F0F0F0F0F0F0u) >> 4u)) == 0x3333333333333333u;
}
/// the value of the eight ASCII digits in @a v (see read_eight_bytes()), three
/// multiplications instead of eight (after simdjson and fast_float)
inline std::uint32_t parse_eight_digits(std::uint64_t v) noexcept
{
v = ((v & 0x0F0F0F0F0F0F0F0Fu) * 2561u) >> 8u;
v = ((v & 0x00FF00FF00FF00FFu) * 6553601u) >> 16u;
return static_cast<std::uint32_t>(((v & 0x0000FFFF0000FFFFu) * 42949672960001u) >> 32u);
}
/*!
@brief the double nearest to w * 10^q (Eisel-Lemire)
The algorithm of Daniel Lemire, "Number Parsing at a Gigabyte per Second"
(Software: Practice and Experience, 2021), after fast_float's compute_float
(used under the MIT license). With a 128-bit approximation of 5^q, the product
is always sufficient to round correctly for w with at most 19 digits (Noble
Mushtak and Daniel Lemire, "Fast number parsing without fallback", Software:
Practice and Experience, 2023). Only integer arithmetic is used, so the result
does not depend on the floating-point environment.
@param[in] q decimal exponent
@param[in] w significand, w != 0
@return the IEEE-754 bits of the positive result (0 for underflow, infinity
for overflow)
*/
inline std::uint64_t eisel_lemire(std::int64_t q, std::uint64_t w) noexcept
{
constexpr int mantissa_bits = 52;
constexpr std::uint64_t infinity = std::uint64_t{0x7FF} << mantissa_bits;
if (q < pow5_128_smallest_power)
{
return 0;
}
if (q > pow5_128_largest_power)
{
return infinity;
}
const int lz = count_leading_zeros(w);
w <<= static_cast<unsigned>(lz);
const auto index = static_cast<std::size_t>(2 * (q - pow5_128_smallest_power));
uint128_parts product = full_multiplication(w, pow5_128()[index]);
constexpr std::uint64_t precision_mask = 0xFFFFFFFFFFFFFFFFu >> (mantissa_bits + 3);
if ((product.high & precision_mask) == precision_mask)
{
// the lower bits may carry into the result: use the next 64 bits of 5^q
const uint128_parts second = full_multiplication(w, pow5_128()[index + 1]);
product.low += second.high;
if (second.high > product.low)
{
++product.high;
}
}
const auto upperbit = static_cast<int>(product.high >> 63u);
const int shift = upperbit + 64 - mantissa_bits - 3;
std::uint64_t mantissa = product.high >> static_cast<unsigned>(shift);
// floor(log2(10^q)) + 63 + 1023, with log2(10) ~ 217706 / 2^16
std::int64_t power2 = (((152170 + 65536) * q) >> 16) + 63 + upperbit - lz + 1023;
if (power2 <= 0) // subnormal
{
if (-power2 + 1 >= 64)
{
return 0;
}
mantissa >>= static_cast<unsigned>(-power2 + 1);
mantissa += (mantissa & 1u);
mantissa >>= 1u;
// rounding up may produce the smallest normal number
power2 = (mantissa < (std::uint64_t{1} << mantissa_bits)) ? 0 : 1;
return mantissa | (static_cast<std::uint64_t>(power2) << mantissa_bits);
}
// a value exactly between two doubles rounds to even; this can only
// happen for small |q|, where 5^q is exact
if (product.low <= 1 && q >= -4 && q <= 23 && (mantissa & 3u) == 1
&& (mantissa << static_cast<unsigned>(shift)) == product.high)
{
mantissa &= ~std::uint64_t{1};
}
mantissa += (mantissa & 1u);
mantissa >>= 1u;
if (mantissa >= (std::uint64_t{2} << mantissa_bits))
{
mantissa = std::uint64_t{1} << mantissa_bits;
++power2;
}
mantissa &= ~(std::uint64_t{1} << mantissa_bits);
if (power2 >= 0x7FF)
{
return infinity;
}
return mantissa | (static_cast<std::uint64_t>(power2) << mantissa_bits);
}
/*!
@brief parse a validated float token with the Eisel-Lemire algorithm
The significand is accumulated eight digits at a time where possible. A token
with more than 19 significant digits is truncated to w; the value then lies
in [w, w + 1) * 10^q, and it is only returned if both ends round to the same
double, which covers all but a few such tokens.
@param[in] first pointer to the first character of the token
@param[in] last pointer past the last character
@param[out] out the correctly rounded value on success (±infinity if it
overflows, like strtod)
@return true on success; false if strtod must decide
*/
inline bool parse_float_eisel_lemire(const char* first, const char* last, double& out) noexcept
{
const char* p = first;
const bool negative = (p != last && *p == '-');
if (negative)
{
++p;
}
std::uint64_t w = 0;
int digits = 0; // significant digits in w
std::int64_t exponent = 0;
bool truncated = false;
bool in_fraction = false;
for (;;)
{
// eight digits at a time, as long as they fit into w
while (w != 0 && digits <= 19 - 8 && last - p >= 8)
{
const std::uint64_t v = read_eight_bytes(p);
if (!is_eight_digits(v))
{
break;
}
w = (w * 100000000u) + parse_eight_digits(v);
digits += 8;
exponent -= in_fraction ? 8 : 0;
p += 8;
}
if (p == last)
{
break;
}
const char c = *p;
if (c >= '0' && c <= '9')
{
if (w == 0 && c == '0')
{
// leading zeros are not significant, but scale a fraction
exponent -= in_fraction ? 1 : 0;
}
else if (digits < 19)
{
w = (w * 10u) + static_cast<std::uint64_t>(c - '0');
++digits;
exponent -= in_fraction ? 1 : 0;
}
else
{
// dropped: the value lies between w and w + 1 (in units of
// the last kept digit) unless all dropped digits are zero
truncated = truncated || c != '0';
exponent += in_fraction ? 0 : 1;
}
++p;
}
else if (c == '.')
{
in_fraction = true;
++p;
}
else
{
break; // 'e' or 'E'
}
}
if (p != last)
{
++p; // 'e' or 'E'
bool exp_negative = false;
if (p != last && (*p == '-' || *p == '+'))
{
exp_negative = (*p == '-');
++p;
}
std::int64_t exp_value = 0;
for (; p != last; ++p)
{
// saturate: any exponent beyond this under- or overflows anyway
if (exp_value < 100000)
{
exp_value = (exp_value * 10) + (*p - '0');
}
}
exponent += exp_negative ? -exp_value : exp_value;
}
std::uint64_t bits = 0;
if (w != 0)
{
bits = eisel_lemire(exponent, w);
if (truncated && (w + 1 == 0 || eisel_lemire(exponent, w + 1) != bits))
{
return false;
}
}
bits |= negative ? (std::uint64_t{1} << 63u) : 0u;
static_assert(sizeof(double) == sizeof(std::uint64_t), "double must have 64 bits");
std::memcpy(&out, &bits, sizeof(out));
return true;
}
/// Eisel-Lemire is only implemented for `double`
template<typename FloatType>
bool parse_float_eisel_lemire(const char* /*first*/, const char* /*last*/, FloatType& /*out*/) noexcept
{
return false;
}
/*!
@brief check whether Clinger's fast path can still succeed for a float token
@@ -355,8 +586,9 @@ inline bool mantissa_fits_clinger(const char* token, std::size_t decimal_point_p
/*!
@brief convert a validated float token without the C library, if possible
Tries std::from_chars (when available) and then Clinger's exact fast path
(double only), skipping the latter when it cannot succeed.
Tries std::from_chars (when available), Clinger's exact fast path (double
only, skipped when it cannot succeed), and the Eisel-Lemire algorithm (double
only).
@param[in] first pointer to the first character of the token
@param[in] last pointer past the last character
@@ -379,8 +611,12 @@ bool convert_float_fast(const char* first, const char* last, std::size_t decimal
// Skipping a fast path that cannot succeed is lossless and saves a full
// extra pass over the token's bytes, which otherwise shows up on
// high-precision inputs such as canada.json
return mantissa_fits_clinger(first, decimal_point_position, mantissa_end)
&& parse_float_fast(first, last, value);
if (mantissa_fits_clinger(first, decimal_point_position, mantissa_end)
&& parse_float_fast(first, last, value))
{
return true;
}
return parse_float_eisel_lemire(first, last, value);
}
/// std::strtof, std::strtod, or std::strtold, chosen by the type of @a f

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@@ -0,0 +1,371 @@
// __ _____ _____ _____
// __| | __| | | | JSON for Modern C++
// | | |__ | | | | | | version 3.12.0
// |_____|_____|_____|_|___| https://github.com/nlohmann/json
//
// SPDX-FileCopyrightText: 2021 The fast_float authors <https://github.com/fastfloat/fast_float>
// SPDX-FileCopyrightText: 2013-2026 Niels Lohmann <https://nlohmann.me>
// SPDX-License-Identifier: MIT
#pragma once
#include <array> // array
#include <cstdint> // int64_t, uint64_t
#include <nlohmann/detail/abi_macros.hpp>
NLOHMANN_JSON_NAMESPACE_BEGIN
namespace detail
{
/// the range of decimal exponents covered by pow5_128()
constexpr std::int64_t pow5_128_smallest_power = -342;
constexpr std::int64_t pow5_128_largest_power = 308;
/*!
@brief 128-bit approximations of 5^q for q in [-342, 308]
Entry q (at index 2 * (q + 342)) holds the most significant 128 bits of 5^q,
normalized so that the highest bit is set: for q >= 0 the truncated value, for
q < 0 the value rounded up. This is the table of fast_float (Daniel Lemire and
contributors, used under the MIT license), generated like its
script/table_generation.py; unit-class_lexer.cpp recomputes every entry.
*/
inline const std::array<std::uint64_t, 1302>& pow5_128() noexcept
{
static const std::array<std::uint64_t, 1302> table =
{
{
0xeef453d6923bd65au, 0x113faa2906a13b3fu, 0x9558b4661b6565f8u, 0x4ac7ca59a424c507u,
0xbaaee17fa23ebf76u, 0x5d79bcf00d2df649u, 0xe95a99df8ace6f53u, 0xf4d82c2c107973dcu,
0x91d8a02bb6c10594u, 0x79071b9b8a4be869u, 0xb64ec836a47146f9u, 0x9748e2826cdee284u,
0xe3e27a444d8d98b7u, 0xfd1b1b2308169b25u, 0x8e6d8c6ab0787f72u, 0xfe30f0f5e50e20f7u,
0xb208ef855c969f4fu, 0xbdbd2d335e51a935u, 0xde8b2b66b3bc4723u, 0xad2c788035e61382u,
0x8b16fb203055ac76u, 0x4c3bcb5021afcc31u, 0xaddcb9e83c6b1793u, 0xdf4abe242a1bbf3du,
0xd953e8624b85dd78u, 0xd71d6dad34a2af0du, 0x87d4713d6f33aa6bu, 0x8672648c40e5ad68u,
0xa9c98d8ccb009506u, 0x680efdaf511f18c2u, 0xd43bf0effdc0ba48u, 0x0212bd1b2566def2u,
0x84a57695fe98746du, 0x014bb630f7604b57u, 0xa5ced43b7e3e9188u, 0x419ea3bd35385e2du,
0xcf42894a5dce35eau, 0x52064cac828675b9u, 0x818995ce7aa0e1b2u, 0x7343efebd1940993u,
0xa1ebfb4219491a1fu, 0x1014ebe6c5f90bf8u, 0xca66fa129f9b60a6u, 0xd41a26e077774ef6u,
0xfd00b897478238d0u, 0x8920b098955522b4u, 0x9e20735e8cb16382u, 0x55b46e5f5d5535b0u,
0xc5a890362fddbc62u, 0xeb2189f734aa831du, 0xf712b443bbd52b7bu, 0xa5e9ec7501d523e4u,
0x9a6bb0aa55653b2du, 0x47b233c92125366eu, 0xc1069cd4eabe89f8u, 0x999ec0bb696e840au,
0xf148440a256e2c76u, 0xc00670ea43ca250du, 0x96cd2a865764dbcau, 0x380406926a5e5728u,
0xbc807527ed3e12bcu, 0xc605083704f5ecf2u, 0xeba09271e88d976bu, 0xf7864a44c633682eu,
0x93445b8731587ea3u, 0x7ab3ee6afbe0211du, 0xb8157268fdae9e4cu, 0x5960ea05bad82964u,
0xe61acf033d1a45dfu, 0x6fb92487298e33bdu, 0x8fd0c16206306babu, 0xa5d3b6d479f8e056u,
0xb3c4f1ba87bc8696u, 0x8f48a4899877186cu, 0xe0b62e2929aba83cu, 0x331acdabfe94de87u,
0x8c71dcd9ba0b4925u, 0x9ff0c08b7f1d0b14u, 0xaf8e5410288e1b6fu, 0x07ecf0ae5ee44dd9u,
0xdb71e91432b1a24au, 0xc9e82cd9f69d6150u, 0x892731ac9faf056eu, 0xbe311c083a225cd2u,
0xab70fe17c79ac6cau, 0x6dbd630a48aaf406u, 0xd64d3d9db981787du, 0x092cbbccdad5b108u,
0x85f0468293f0eb4eu, 0x25bbf56008c58ea5u, 0xa76c582338ed2621u, 0xaf2af2b80af6f24eu,
0xd1476e2c07286faau, 0x1af5af660db4aee1u, 0x82cca4db847945cau, 0x50d98d9fc890ed4du,
0xa37fce126597973cu, 0xe50ff107bab528a0u, 0xcc5fc196fefd7d0cu, 0x1e53ed49a96272c8u,
0xff77b1fcbebcdc4fu, 0x25e8e89c13bb0f7au, 0x9faacf3df73609b1u, 0x77b191618c54e9acu,
0xc795830d75038c1du, 0xd59df5b9ef6a2417u, 0xf97ae3d0d2446f25u, 0x4b0573286b44ad1du,
0x9becce62836ac577u, 0x4ee367f9430aec32u, 0xc2e801fb244576d5u, 0x229c41f793cda73fu,
0xf3a20279ed56d48au, 0x6b43527578c1110fu, 0x9845418c345644d6u, 0x830a13896b78aaa9u,
0xbe5691ef416bd60cu, 0x23cc986bc656d553u, 0xedec366b11c6cb8fu, 0x2cbfbe86b7ec8aa8u,
0x94b3a202eb1c3f39u, 0x7bf7d71432f3d6a9u, 0xb9e08a83a5e34f07u, 0xdaf5ccd93fb0cc53u,
0xe858ad248f5c22c9u, 0xd1b3400f8f9cff68u, 0x91376c36d99995beu, 0x23100809b9c21fa1u,
0xb58547448ffffb2du, 0xabd40a0c2832a78au, 0xe2e69915b3fff9f9u, 0x16c90c8f323f516cu,
0x8dd01fad907ffc3bu, 0xae3da7d97f6792e3u, 0xb1442798f49ffb4au, 0x99cd11cfdf41779cu,
0xdd95317f31c7fa1du, 0x40405643d711d583u, 0x8a7d3eef7f1cfc52u, 0x482835ea666b2572u,
0xad1c8eab5ee43b66u, 0xda3243650005eecfu, 0xd863b256369d4a40u, 0x90bed43e40076a82u,
0x873e4f75e2224e68u, 0x5a7744a6e804a291u, 0xa90de3535aaae202u, 0x711515d0a205cb36u,
0xd3515c2831559a83u, 0x0d5a5b44ca873e03u, 0x8412d9991ed58091u, 0xe858790afe9486c2u,
0xa5178fff668ae0b6u, 0x626e974dbe39a872u, 0xce5d73ff402d98e3u, 0xfb0a3d212dc8128fu,
0x80fa687f881c7f8eu, 0x7ce66634bc9d0b99u, 0xa139029f6a239f72u, 0x1c1fffc1ebc44e80u,
0xc987434744ac874eu, 0xa327ffb266b56220u, 0xfbe9141915d7a922u, 0x4bf1ff9f0062baa8u,
0x9d71ac8fada6c9b5u, 0x6f773fc3603db4a9u, 0xc4ce17b399107c22u, 0xcb550fb4384d21d3u,
0xf6019da07f549b2bu, 0x7e2a53a146606a48u, 0x99c102844f94e0fbu, 0x2eda7444cbfc426du,
0xc0314325637a1939u, 0xfa911155fefb5308u, 0xf03d93eebc589f88u, 0x793555ab7eba27cau,
0x96267c7535b763b5u, 0x4bc1558b2f3458deu, 0xbbb01b9283253ca2u, 0x9eb1aaedfb016f16u,
0xea9c227723ee8bcbu, 0x465e15a979c1cadcu, 0x92a1958a7675175fu, 0x0bfacd89ec191ec9u,
0xb749faed14125d36u, 0xcef980ec671f667bu, 0xe51c79a85916f484u, 0x82b7e12780e7401au,
0x8f31cc0937ae58d2u, 0xd1b2ecb8b0908810u, 0xb2fe3f0b8599ef07u, 0x861fa7e6dcb4aa15u,
0xdfbdcece67006ac9u, 0x67a791e093e1d49au, 0x8bd6a141006042bdu, 0xe0c8bb2c5c6d24e0u,
0xaecc49914078536du, 0x58fae9f773886e18u, 0xda7f5bf590966848u, 0xaf39a475506a899eu,
0x888f99797a5e012du, 0x6d8406c952429603u, 0xaab37fd7d8f58178u, 0xc8e5087ba6d33b83u,
0xd5605fcdcf32e1d6u, 0xfb1e4a9a90880a64u, 0x855c3be0a17fcd26u, 0x5cf2eea09a55067fu,
0xa6b34ad8c9dfc06fu, 0xf42faa48c0ea481eu, 0xd0601d8efc57b08bu, 0xf13b94daf124da26u,
0x823c12795db6ce57u, 0x76c53d08d6b70858u, 0xa2cb1717b52481edu, 0x54768c4b0c64ca6eu,
0xcb7ddcdda26da268u, 0xa9942f5dcf7dfd09u, 0xfe5d54150b090b02u, 0xd3f93b35435d7c4cu,
0x9efa548d26e5a6e1u, 0xc47bc5014a1a6dafu, 0xc6b8e9b0709f109au, 0x359ab6419ca1091bu,
0xf867241c8cc6d4c0u, 0xc30163d203c94b62u, 0x9b407691d7fc44f8u, 0x79e0de63425dcf1du,
0xc21094364dfb5636u, 0x985915fc12f542e4u, 0xf294b943e17a2bc4u, 0x3e6f5b7b17b2939du,
0x979cf3ca6cec5b5au, 0xa705992ceecf9c42u, 0xbd8430bd08277231u, 0x50c6ff782a838353u,
0xece53cec4a314ebdu, 0xa4f8bf5635246428u, 0x940f4613ae5ed136u, 0x871b7795e136be99u,
0xb913179899f68584u, 0x28e2557b59846e3fu, 0xe757dd7ec07426e5u, 0x331aeada2fe589cfu,
0x9096ea6f3848984fu, 0x3ff0d2c85def7621u, 0xb4bca50b065abe63u, 0x0fed077a756b53a9u,
0xe1ebce4dc7f16dfbu, 0xd3e8495912c62894u, 0x8d3360f09cf6e4bdu, 0x64712dd7abbbd95cu,
0xb080392cc4349decu, 0xbd8d794d96aacfb3u, 0xdca04777f541c567u, 0xecf0d7a0fc5583a0u,
0x89e42caaf9491b60u, 0xf41686c49db57244u, 0xac5d37d5b79b6239u, 0x311c2875c522ced5u,
0xd77485cb25823ac7u, 0x7d633293366b828bu, 0x86a8d39ef77164bcu, 0xae5dff9c02033197u,
0xa8530886b54dbdebu, 0xd9f57f830283fdfcu, 0xd267caa862a12d66u, 0xd072df63c324fd7bu,
0x8380dea93da4bc60u, 0x4247cb9e59f71e6du, 0xa46116538d0deb78u, 0x52d9be85f074e608u,
0xcd795be870516656u, 0x67902e276c921f8bu, 0x806bd9714632dff6u, 0x00ba1cd8a3db53b6u,
0xa086cfcd97bf97f3u, 0x80e8a40eccd228a4u, 0xc8a883c0fdaf7df0u, 0x6122cd128006b2cdu,
0xfad2a4b13d1b5d6cu, 0x796b805720085f81u, 0x9cc3a6eec6311a63u, 0xcbe3303674053bb0u,
0xc3f490aa77bd60fcu, 0xbedbfc4411068a9cu, 0xf4f1b4d515acb93bu, 0xee92fb5515482d44u,
0x991711052d8bf3c5u, 0x751bdd152d4d1c4au, 0xbf5cd54678eef0b6u, 0xd262d45a78a0635du,
0xef340a98172aace4u, 0x86fb897116c87c34u, 0x9580869f0e7aac0eu, 0xd45d35e6ae3d4da0u,
0xbae0a846d2195712u, 0x8974836059cca109u, 0xe998d258869facd7u, 0x2bd1a438703fc94bu,
0x91ff83775423cc06u, 0x7b6306a34627ddcfu, 0xb67f6455292cbf08u, 0x1a3bc84c17b1d542u,
0xe41f3d6a7377eecau, 0x20caba5f1d9e4a93u, 0x8e938662882af53eu, 0x547eb47b7282ee9cu,
0xb23867fb2a35b28du, 0xe99e619a4f23aa43u, 0xdec681f9f4c31f31u, 0x6405fa00e2ec94d4u,
0x8b3c113c38f9f37eu, 0xde83bc408dd3dd04u, 0xae0b158b4738705eu, 0x9624ab50b148d445u,
0xd98ddaee19068c76u, 0x3badd624dd9b0957u, 0x87f8a8d4cfa417c9u, 0xe54ca5d70a80e5d6u,
0xa9f6d30a038d1dbcu, 0x5e9fcf4ccd211f4cu, 0xd47487cc8470652bu, 0x7647c3200069671fu,
0x84c8d4dfd2c63f3bu, 0x29ecd9f40041e073u, 0xa5fb0a17c777cf09u, 0xf468107100525890u,
0xcf79cc9db955c2ccu, 0x7182148d4066eeb4u, 0x81ac1fe293d599bfu, 0xc6f14cd848405530u,
0xa21727db38cb002fu, 0xb8ada00e5a506a7cu, 0xca9cf1d206fdc03bu, 0xa6d90811f0e4851cu,
0xfd442e4688bd304au, 0x908f4a166d1da663u, 0x9e4a9cec15763e2eu, 0x9a598e4e043287feu,
0xc5dd44271ad3cdbau, 0x40eff1e1853f29fdu, 0xf7549530e188c128u, 0xd12bee59e68ef47cu,
0x9a94dd3e8cf578b9u, 0x82bb74f8301958ceu, 0xc13a148e3032d6e7u, 0xe36a52363c1faf01u,
0xf18899b1bc3f8ca1u, 0xdc44e6c3cb279ac1u, 0x96f5600f15a7b7e5u, 0x29ab103a5ef8c0b9u,
0xbcb2b812db11a5deu, 0x7415d448f6b6f0e7u, 0xebdf661791d60f56u, 0x111b495b3464ad21u,
0x936b9fcebb25c995u, 0xcab10dd900beec34u, 0xb84687c269ef3bfbu, 0x3d5d514f40eea742u,
0xe65829b3046b0afau, 0x0cb4a5a3112a5112u, 0x8ff71a0fe2c2e6dcu, 0x47f0e785eaba72abu,
0xb3f4e093db73a093u, 0x59ed216765690f56u, 0xe0f218b8d25088b8u, 0x306869c13ec3532cu,
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0xdbac6c247d62a583u, 0xdf45f746b74abf39u, 0x894bc396ce5da772u, 0x6b8bba8c328eb783u,
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0x8613fd0145877585u, 0xbd06742ce95f5f36u, 0xa798fc4196e952e7u, 0x2c48113823b73704u,
0xd17f3b51fca3a7a0u, 0xf75a15862ca504c5u, 0x82ef85133de648c4u, 0x9a984d73dbe722fbu,
0xa3ab66580d5fdaf5u, 0xc13e60d0d2e0ebbau, 0xcc963fee10b7d1b3u, 0x318df905079926a8u,
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0xbe89523386091465u, 0xf6bbb397f1135823u, 0xee2ba6c0678b597fu, 0x746aa07ded582e2cu,
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0xd1b71758e219652bu, 0xd3c36113404ea4a9u, 0x83126e978d4fdf3bu, 0x645a1cac083126eau,
0xa3d70a3d70a3d70au, 0x3d70a3d70a3d70a4u, 0xccccccccccccccccu, 0xcccccccccccccccdu,
0x8000000000000000u, 0x0000000000000000u, 0xa000000000000000u, 0x0000000000000000u,
0xc800000000000000u, 0x0000000000000000u, 0xfa00000000000000u, 0x0000000000000000u,
0x9c40000000000000u, 0x0000000000000000u, 0xc350000000000000u, 0x0000000000000000u,
0xf424000000000000u, 0x0000000000000000u, 0x9896800000000000u, 0x0000000000000000u,
0xbebc200000000000u, 0x0000000000000000u, 0xee6b280000000000u, 0x0000000000000000u,
0x9502f90000000000u, 0x0000000000000000u, 0xba43b74000000000u, 0x0000000000000000u,
0xe8d4a51000000000u, 0x0000000000000000u, 0x9184e72a00000000u, 0x0000000000000000u,
0xb5e620f480000000u, 0x0000000000000000u, 0xe35fa931a0000000u, 0x0000000000000000u,
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0xde0b6b3a76400000u, 0x0000000000000000u, 0x8ac7230489e80000u, 0x0000000000000000u,
0xad78ebc5ac620000u, 0x0000000000000000u, 0xd8d726b7177a8000u, 0x0000000000000000u,
0x878678326eac9000u, 0x0000000000000000u, 0xa968163f0a57b400u, 0x0000000000000000u,
0xd3c21bcecceda100u, 0x0000000000000000u, 0x84595161401484a0u, 0x0000000000000000u,
0xa56fa5b99019a5c8u, 0x0000000000000000u, 0xcecb8f27f4200f3au, 0x0000000000000000u,
0x813f3978f8940984u, 0x4000000000000000u, 0xa18f07d736b90be5u, 0x5000000000000000u,
0xc9f2c9cd04674edeu, 0xa400000000000000u, 0xfc6f7c4045812296u, 0x4d00000000000000u,
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0xf684df56c3e01bc6u, 0xc732000000000000u, 0x9a130b963a6c115cu, 0x3c7f400000000000u,
0xc097ce7bc90715b3u, 0x4b9f100000000000u, 0xf0bdc21abb48db20u, 0x1e86d40000000000u,
0x96769950b50d88f4u, 0x1314448000000000u, 0xbc143fa4e250eb31u, 0x17d955a000000000u,
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0xb7abc627050305adu, 0xf14a3d9e40000000u, 0xe596b7b0c643c719u, 0x6d9ccd05d0000000u,
0x8f7e32ce7bea5c6fu, 0xe4820023a2000000u, 0xb35dbf821ae4f38bu, 0xdda2802c8a800000u,
0xe0352f62a19e306eu, 0xd50b2037ad200000u, 0x8c213d9da502de45u, 0x4526f422cc340000u,
0xaf298d050e4395d6u, 0x9670b12b7f410000u, 0xdaf3f04651d47b4cu, 0x3c0cdd765f114000u,
0x88d8762bf324cd0fu, 0xa5880a69fb6ac800u, 0xab0e93b6efee0053u, 0x8eea0d047a457a00u,
0xd5d238a4abe98068u, 0x72a4904598d6d880u, 0x85a36366eb71f041u, 0x47a6da2b7f864750u,
0xa70c3c40a64e6c51u, 0x999090b65f67d924u, 0xd0cf4b50cfe20765u, 0xfff4b4e3f741cf6du,
0x82818f1281ed449fu, 0xbff8f10e7a8921a4u, 0xa321f2d7226895c7u, 0xaff72d52192b6a0du,
0xcbea6f8ceb02bb39u, 0x9bf4f8a69f764490u, 0xfee50b7025c36a08u, 0x02f236d04753d5b4u,
0x9f4f2726179a2245u, 0x01d762422c946590u, 0xc722f0ef9d80aad6u, 0x424d3ad2b7b97ef5u,
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0xc2781f49ffcfa6d5u, 0x3cbf6b71c76b25fbu, 0xf316271c7fc3908au, 0x8bef464e3945ef7au,
0x97edd871cfda3a56u, 0x97758bf0e3cbb5acu, 0xbde94e8e43d0c8ecu, 0x3d52eeed1cbea317u,
0xed63a231d4c4fb27u, 0x4ca7aaa863ee4bddu, 0x945e455f24fb1cf8u, 0x8fe8caa93e74ef6au,
0xb975d6b6ee39e436u, 0xb3e2fd538e122b44u, 0xe7d34c64a9c85d44u, 0x60dbbca87196b616u,
0x90e40fbeea1d3a4au, 0xbc8955e946fe31cdu, 0xb51d13aea4a488ddu, 0x6babab6398bdbe41u,
0xe264589a4dcdab14u, 0xc696963c7eed2dd1u, 0x8d7eb76070a08aecu, 0xfc1e1de5cf543ca2u,
0xb0de65388cc8ada8u, 0x3b25a55f43294bcbu, 0xdd15fe86affad912u, 0x49ef0eb713f39ebeu,
0x8a2dbf142dfcc7abu, 0x6e3569326c784337u, 0xacb92ed9397bf996u, 0x49c2c37f07965404u,
0xd7e77a8f87daf7fbu, 0xdc33745ec97be906u, 0x86f0ac99b4e8dafdu, 0x69a028bb3ded71a3u,
0xa8acd7c0222311bcu, 0xc40832ea0d68ce0cu, 0xd2d80db02aabd62bu, 0xf50a3fa490c30190u,
0x83c7088e1aab65dbu, 0x792667c6da79e0fau, 0xa4b8cab1a1563f52u, 0x577001b891185938u,
0xcde6fd5e09abcf26u, 0xed4c0226b55e6f86u, 0x80b05e5ac60b6178u, 0x544f8158315b05b4u,
0xa0dc75f1778e39d6u, 0x696361ae3db1c721u, 0xc913936dd571c84cu, 0x03bc3a19cd1e38e9u,
0xfb5878494ace3a5fu, 0x04ab48a04065c723u, 0x9d174b2dcec0e47bu, 0x62eb0d64283f9c76u,
0xc45d1df942711d9au, 0x3ba5d0bd324f8394u, 0xf5746577930d6500u, 0xca8f44ec7ee36479u,
0x9968bf6abbe85f20u, 0x7e998b13cf4e1ecbu, 0xbfc2ef456ae276e8u, 0x9e3fedd8c321a67eu,
0xefb3ab16c59b14a2u, 0xc5cfe94ef3ea101eu, 0x95d04aee3b80ece5u, 0xbba1f1d158724a12u,
0xbb445da9ca61281fu, 0x2a8a6e45ae8edc97u, 0xea1575143cf97226u, 0xf52d09d71a3293bdu,
0x924d692ca61be758u, 0x593c2626705f9c56u, 0xb6e0c377cfa2e12eu, 0x6f8b2fb00c77836cu,
0xe498f455c38b997au, 0x0b6dfb9c0f956447u, 0x8edf98b59a373fecu, 0x4724bd4189bd5eacu,
0xb2977ee300c50fe7u, 0x58edec91ec2cb657u, 0xdf3d5e9bc0f653e1u, 0x2f2967b66737e3edu,
0x8b865b215899f46cu, 0xbd79e0d20082ee74u, 0xae67f1e9aec07187u, 0xecd8590680a3aa11u,
0xda01ee641a708de9u, 0xe80e6f4820cc9495u, 0x884134fe908658b2u, 0x3109058d147fdcddu,
0xaa51823e34a7eedeu, 0xbd4b46f0599fd415u, 0xd4e5e2cdc1d1ea96u, 0x6c9e18ac7007c91au,
0x850fadc09923329eu, 0x03e2cf6bc604ddb0u, 0xa6539930bf6bff45u, 0x84db8346b786151cu,
0xcfe87f7cef46ff16u, 0xe612641865679a63u, 0x81f14fae158c5f6eu, 0x4fcb7e8f3f60c07eu,
0xa26da3999aef7749u, 0xe3be5e330f38f09du, 0xcb090c8001ab551cu, 0x5cadf5bfd3072cc5u,
0xfdcb4fa002162a63u, 0x73d9732fc7c8f7f6u, 0x9e9f11c4014dda7eu, 0x2867e7fddcdd9afau,
0xc646d63501a1511du, 0xb281e1fd541501b8u, 0xf7d88bc24209a565u, 0x1f225a7ca91a4226u,
0x9ae757596946075fu, 0x3375788de9b06958u, 0xc1a12d2fc3978937u, 0x0052d6b1641c83aeu,
0xf209787bb47d6b84u, 0xc0678c5dbd23a49au, 0x9745eb4d50ce6332u, 0xf840b7ba963646e0u,
0xbd176620a501fbffu, 0xb650e5a93bc3d898u, 0xec5d3fa8ce427affu, 0xa3e51f138ab4cebeu,
0x93ba47c980e98cdfu, 0xc66f336c36b10137u, 0xb8a8d9bbe123f017u, 0xb80b0047445d4184u,
0xe6d3102ad96cec1du, 0xa60dc059157491e5u, 0x9043ea1ac7e41392u, 0x87c89837ad68db2fu,
0xb454e4a179dd1877u, 0x29babe4598c311fbu, 0xe16a1dc9d8545e94u, 0xf4296dd6fef3d67au,
0x8ce2529e2734bb1du, 0x1899e4a65f58660cu, 0xb01ae745b101e9e4u, 0x5ec05dcff72e7f8fu,
0xdc21a1171d42645du, 0x76707543f4fa1f73u, 0x899504ae72497ebau, 0x6a06494a791c53a8u,
0xabfa45da0edbde69u, 0x0487db9d17636892u, 0xd6f8d7509292d603u, 0x45a9d2845d3c42b6u,
0x865b86925b9bc5c2u, 0x0b8a2392ba45a9b2u, 0xa7f26836f282b732u, 0x8e6cac7768d7141eu,
0xd1ef0244af2364ffu, 0x3207d795430cd926u, 0x8335616aed761f1fu, 0x7f44e6bd49e807b8u,
0xa402b9c5a8d3a6e7u, 0x5f16206c9c6209a6u, 0xcd036837130890a1u, 0x36dba887c37a8c0fu,
0x802221226be55a64u, 0xc2494954da2c9789u, 0xa02aa96b06deb0fdu, 0xf2db9baa10b7bd6cu,
0xc83553c5c8965d3du, 0x6f92829494e5acc7u, 0xfa42a8b73abbf48cu, 0xcb772339ba1f17f9u,
0x9c69a97284b578d7u, 0xff2a760414536efbu, 0xc38413cf25e2d70du, 0xfef5138519684abau,
0xf46518c2ef5b8cd1u, 0x7eb258665fc25d69u, 0x98bf2f79d5993802u, 0xef2f773ffbd97a61u,
0xbeeefb584aff8603u, 0xaafb550ffacfd8fau, 0xeeaaba2e5dbf6784u, 0x95ba2a53f983cf38u,
0x952ab45cfa97a0b2u, 0xdd945a747bf26183u, 0xba756174393d88dfu, 0x94f971119aeef9e4u,
0xe912b9d1478ceb17u, 0x7a37cd5601aab85du, 0x91abb422ccb812eeu, 0xac62e055c10ab33au,
0xb616a12b7fe617aau, 0x577b986b314d6009u, 0xe39c49765fdf9d94u, 0xed5a7e85fda0b80bu,
0x8e41ade9fbebc27du, 0x14588f13be847307u, 0xb1d219647ae6b31cu, 0x596eb2d8ae258fc8u,
0xde469fbd99a05fe3u, 0x6fca5f8ed9aef3bbu, 0x8aec23d680043beeu, 0x25de7bb9480d5854u,
0xada72ccc20054ae9u, 0xaf561aa79a10ae6au, 0xd910f7ff28069da4u, 0x1b2ba1518094da04u,
0x87aa9aff79042286u, 0x90fb44d2f05d0842u, 0xa99541bf57452b28u, 0x353a1607ac744a53u,
0xd3fa922f2d1675f2u, 0x42889b8997915ce8u, 0x847c9b5d7c2e09b7u, 0x69956135febada11u,
0xa59bc234db398c25u, 0x43fab9837e699095u, 0xcf02b2c21207ef2eu, 0x94f967e45e03f4bbu,
0x8161afb94b44f57du, 0x1d1be0eebac278f5u, 0xa1ba1ba79e1632dcu, 0x6462d92a69731732u,
0xca28a291859bbf93u, 0x7d7b8f7503cfdcfeu, 0xfcb2cb35e702af78u, 0x5cda735244c3d43eu,
0x9defbf01b061adabu, 0x3a0888136afa64a7u, 0xc56baec21c7a1916u, 0x088aaa1845b8fdd0u,
0xf6c69a72a3989f5bu, 0x8aad549e57273d45u, 0x9a3c2087a63f6399u, 0x36ac54e2f678864bu,
0xc0cb28a98fcf3c7fu, 0x84576a1bb416a7ddu, 0xf0fdf2d3f3c30b9fu, 0x656d44a2a11c51d5u,
0x969eb7c47859e743u, 0x9f644ae5a4b1b325u, 0xbc4665b596706114u, 0x873d5d9f0dde1feeu,
0xeb57ff22fc0c7959u, 0xa90cb506d155a7eau, 0x9316ff75dd87cbd8u, 0x09a7f12442d588f2u,
0xb7dcbf5354e9beceu, 0x0c11ed6d538aeb2fu, 0xe5d3ef282a242e81u, 0x8f1668c8a86da5fau,
0x8fa475791a569d10u, 0xf96e017d694487bcu, 0xb38d92d760ec4455u, 0x37c981dcc395a9acu,
0xe070f78d3927556au, 0x85bbe253f47b1417u, 0x8c469ab843b89562u, 0x93956d7478ccec8eu,
0xaf58416654a6babbu, 0x387ac8d1970027b2u, 0xdb2e51bfe9d0696au, 0x06997b05fcc0319eu,
0x88fcf317f22241e2u, 0x441fece3bdf81f03u, 0xab3c2fddeeaad25au, 0xd527e81cad7626c3u,
0xd60b3bd56a5586f1u, 0x8a71e223d8d3b074u, 0x85c7056562757456u, 0xf6872d5667844e49u,
0xa738c6bebb12d16cu, 0xb428f8ac016561dbu, 0xd106f86e69d785c7u, 0xe13336d701beba52u,
0x82a45b450226b39cu, 0xecc0024661173473u, 0xa34d721642b06084u, 0x27f002d7f95d0190u,
0xcc20ce9bd35c78a5u, 0x31ec038df7b441f4u, 0xff290242c83396ceu, 0x7e67047175a15271u,
0x9f79a169bd203e41u, 0x0f0062c6e984d386u, 0xc75809c42c684dd1u, 0x52c07b78a3e60868u,
0xf92e0c3537826145u, 0xa7709a56ccdf8a82u, 0x9bbcc7a142b17ccbu, 0x88a66076400bb691u,
0xc2abf989935ddbfeu, 0x6acff893d00ea435u, 0xf356f7ebf83552feu, 0x0583f6b8c4124d43u,
0x98165af37b2153deu, 0xc3727a337a8b704au, 0xbe1bf1b059e9a8d6u, 0x744f18c0592e4c5cu,
0xeda2ee1c7064130cu, 0x1162def06f79df73u, 0x9485d4d1c63e8be7u, 0x8addcb5645ac2ba8u,
0xb9a74a0637ce2ee1u, 0x6d953e2bd7173692u, 0xe8111c87c5c1ba99u, 0xc8fa8db6ccdd0437u,
0x910ab1d4db9914a0u, 0x1d9c9892400a22a2u, 0xb54d5e4a127f59c8u, 0x2503beb6d00cab4bu,
0xe2a0b5dc971f303au, 0x2e44ae64840fd61du, 0x8da471a9de737e24u, 0x5ceaecfed289e5d2u,
0xb10d8e1456105dadu, 0x7425a83e872c5f47u, 0xdd50f1996b947518u, 0xd12f124e28f77719u,
0x8a5296ffe33cc92fu, 0x82bd6b70d99aaa6fu, 0xace73cbfdc0bfb7bu, 0x636cc64d1001550bu,
0xd8210befd30efa5au, 0x3c47f7e05401aa4eu, 0x8714a775e3e95c78u, 0x65acfaec34810a71u,
0xa8d9d1535ce3b396u, 0x7f1839a741a14d0du, 0xd31045a8341ca07cu, 0x1ede48111209a050u,
0x83ea2b892091e44du, 0x934aed0aab460432u, 0xa4e4b66b68b65d60u, 0xf81da84d5617853fu,
0xce1de40642e3f4b9u, 0x36251260ab9d668eu, 0x80d2ae83e9ce78f3u, 0xc1d72b7c6b426019u,
0xa1075a24e4421730u, 0xb24cf65b8612f81fu, 0xc94930ae1d529cfcu, 0xdee033f26797b627u,
0xfb9b7cd9a4a7443cu, 0x169840ef017da3b1u, 0x9d412e0806e88aa5u, 0x8e1f289560ee864eu,
0xc491798a08a2ad4eu, 0xf1a6f2bab92a27e2u, 0xf5b5d7ec8acb58a2u, 0xae10af696774b1dbu,
0x9991a6f3d6bf1765u, 0xacca6da1e0a8ef29u, 0xbff610b0cc6edd3fu, 0x17fd090a58d32af3u,
0xeff394dcff8a948eu, 0xddfc4b4cef07f5b0u, 0x95f83d0a1fb69cd9u, 0x4abdaf101564f98eu,
0xbb764c4ca7a4440fu, 0x9d6d1ad41abe37f1u, 0xea53df5fd18d5513u, 0x84c86189216dc5edu,
0x92746b9be2f8552cu, 0x32fd3cf5b4e49bb4u, 0xb7118682dbb66a77u, 0x3fbc8c33221dc2a1u,
0xe4d5e82392a40515u, 0x0fabaf3feaa5334au, 0x8f05b1163ba6832du, 0x29cb4d87f2a7400eu,
0xb2c71d5bca9023f8u, 0x743e20e9ef511012u, 0xdf78e4b2bd342cf6u, 0x914da9246b255416u,
0x8bab8eefb6409c1au, 0x1ad089b6c2f7548eu, 0xae9672aba3d0c320u, 0xa184ac2473b529b1u,
0xda3c0f568cc4f3e8u, 0xc9e5d72d90a2741eu, 0x8865899617fb1871u, 0x7e2fa67c7a658892u,
0xaa7eebfb9df9de8du, 0xddbb901b98feeab7u, 0xd51ea6fa85785631u, 0x552a74227f3ea565u,
0x8533285c936b35deu, 0xd53a88958f87275fu, 0xa67ff273b8460356u, 0x8a892abaf368f137u,
0xd01fef10a657842cu, 0x2d2b7569b0432d85u, 0x8213f56a67f6b29bu, 0x9c3b29620e29fc73u,
0xa298f2c501f45f42u, 0x8349f3ba91b47b8fu, 0xcb3f2f7642717713u, 0x241c70a936219a73u,
0xfe0efb53d30dd4d7u, 0xed238cd383aa0110u, 0x9ec95d1463e8a506u, 0xf4363804324a40aau,
0xc67bb4597ce2ce48u, 0xb143c6053edcd0d5u, 0xf81aa16fdc1b81dau, 0xdd94b7868e94050au,
0x9b10a4e5e9913128u, 0xca7cf2b4191c8326u, 0xc1d4ce1f63f57d72u, 0xfd1c2f611f63a3f0u,
0xf24a01a73cf2dccfu, 0xbc633b39673c8cecu, 0x976e41088617ca01u, 0xd5be0503e085d813u,
0xbd49d14aa79dbc82u, 0x4b2d8644d8a74e18u, 0xec9c459d51852ba2u, 0xddf8e7d60ed1219eu,
0x93e1ab8252f33b45u, 0xcabb90e5c942b503u, 0xb8da1662e7b00a17u, 0x3d6a751f3b936243u,
0xe7109bfba19c0c9du, 0x0cc512670a783ad4u, 0x906a617d450187e2u, 0x27fb2b80668b24c5u,
0xb484f9dc9641e9dau, 0xb1f9f660802dedf6u, 0xe1a63853bbd26451u, 0x5e7873f8a0396973u,
0x8d07e33455637eb2u, 0xdb0b487b6423e1e8u, 0xb049dc016abc5e5fu, 0x91ce1a9a3d2cda62u,
0xdc5c5301c56b75f7u, 0x7641a140cc7810fbu, 0x89b9b3e11b6329bau, 0xa9e904c87fcb0a9du,
0xac2820d9623bf429u, 0x546345fa9fbdcd44u, 0xd732290fbacaf133u, 0xa97c177947ad4095u,
0x867f59a9d4bed6c0u, 0x49ed8eabcccc485du, 0xa81f301449ee8c70u, 0x5c68f256bfff5a74u,
0xd226fc195c6a2f8cu, 0x73832eec6fff3111u, 0x83585d8fd9c25db7u, 0xc831fd53c5ff7eabu,
0xa42e74f3d032f525u, 0xba3e7ca8b77f5e55u, 0xcd3a1230c43fb26fu, 0x28ce1bd2e55f35ebu,
0x80444b5e7aa7cf85u, 0x7980d163cf5b81b3u, 0xa0555e361951c366u, 0xd7e105bcc332621fu,
0xc86ab5c39fa63440u, 0x8dd9472bf3fefaa7u, 0xfa856334878fc150u, 0xb14f98f6f0feb951u,
0x9c935e00d4b9d8d2u, 0x6ed1bf9a569f33d3u, 0xc3b8358109e84f07u, 0x0a862f80ec4700c8u,
0xf4a642e14c6262c8u, 0xcd27bb612758c0fau, 0x98e7e9cccfbd7dbdu, 0x8038d51cb897789cu,
0xbf21e44003acdd2cu, 0xe0470a63e6bd56c3u, 0xeeea5d5004981478u, 0x1858ccfce06cac74u,
0x95527a5202df0ccbu, 0x0f37801e0c43ebc8u, 0xbaa718e68396cffdu, 0xd30560258f54e6bau,
0xe950df20247c83fdu, 0x47c6b82ef32a2069u, 0x91d28b7416cdd27eu, 0x4cdc331d57fa5441u,
0xb6472e511c81471du, 0xe0133fe4adf8e952u, 0xe3d8f9e563a198e5u, 0x58180fddd97723a6u,
0x8e679c2f5e44ff8fu, 0x570f09eaa7ea7648u,
}
};
return table;
}
} // namespace detail
NLOHMANN_JSON_NAMESPACE_END