Files
tippecanoe/fpfmt/pow10tab.hpp
T
Claude 7127e49c86 Replace the Grisu2 float formatter with a C++ port of rsc/fpfmt
Tippecanoe formatted every double it wrote through milo::dtoa_milo, a
vendored Grisu2. Grisu2 is fast, but it guarantees neither the shortest
digit string nor the correctly rounded one: it only guarantees that what
it prints parses back to the value it came from. In practice it prints a
digit more than necessary about 0.16% of the time, and picks a neighbor
of the correctly rounded digits about 32% of the time.

This ports Russ Cox's fpfmt (https://github.com/rsc/fpfmt) to C++ in
fpfmt/ and formats through it instead. fpfmt is both shortest and
correctly rounded, and it is faster:

  full std::string formatting     Grisu2      fpfmt   speedup
  random bit patterns          156.62 ns   66.83 ns     2.34x
  geo coordinates              124.07 ns   58.62 ns     2.12x
  short decimals                69.37 ns   49.16 ns     1.41x
  small integers                44.18 ns   38.06 ns     1.16x

  digit generation only           Grisu2      fpfmt   speedup
  random bit patterns           90.07 ns   20.81 ns     4.33x
  geo coordinates               80.64 ns   20.18 ns     4.00x
  short decimals                55.61 ns   21.90 ns     2.54x
  small integers                40.23 ns   22.50 ns     1.79x

(Intel Xeon @ 2.80GHz, g++ 13.3 -O3. `make fpfmt-bench` reproduces this,
and `./fpfmt-bench -check` reruns the correctness sweep, which is why
milo/dtoa_milo.h is kept even though nothing links it any more.)

The port is deliberately literal, so it can be diffed against fpfmt.go.
Its Short() agrees bit for bit with the Go original's on 445,640 values
covering powers of ten, small integers and reciprocals, subnormals, and
random bit patterns. Over 38.5 million values, fpfmt::dtoa always round
trips, is never longer than Grisu2's output, and is shorter 61,329 times.

Output is otherwise formatted exactly as before, including the choice
between plain and exponential notation, so 26 expected test outputs
change: some numbers lose digits (-26.170044999999999 becomes
-26.170045), and some have a corrected final digit (9.823748927348929e+55
becomes 9.823748927348928e+55). Every changed token was checked to parse
back to the identical double; none of the values themselves moved.

milo/milo.h, whose only job was to declare the C shim jsonpull calls, is
replaced by fpfmt/fpfmt.h, and the shim is renamed dtoa_shortest.

Co-Authored-By: Claude Opus 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_014wJRAuhMninQE4wK2TUfuZ
2026-08-31 00:22:35 +00:00

721 lines
47 KiB
C++

// Generated from https://github.com/rsc/fpfmt pow10tab.go (BSD-style license; see LICENSE.txt).
// Code generated by: go run pow10gen.go. DO NOT EDIT.
#pragma once
#include <stdint.h>
namespace fpfmt {
constexpr int pow10Min = -348;
constexpr int pow10Max = 347;
// A pm_hi_lo represents hi<<64 - lo.
struct pm_hi_lo {
uint64_t hi;
uint64_t lo;
};
// pow10_tab holds 128-bit mantissas of powers of 10.
// The values are scaled so the high bit is always set.
static const pm_hi_lo pow10_tab[pow10Max - pow10Min + 1] = {
{0xfa8fd5a0081c0289ULL, 0xe8cd3796329f1bacULL}, // 1e-348 * 2**1284
{0x9c99e58405118196ULL, 0xf18042bddfa3714bULL}, // 1e-347 * 2**1280
{0xc3c05ee50655e1fbULL, 0xade0536d578c4d9eULL}, // 1e-346 * 2**1277
{0xf4b0769e47eb5a79ULL, 0x19586848ad6f6106ULL}, // 1e-345 * 2**1274
{0x98ee4a22ecf3188cULL, 0x6fd7412d6c659ca3ULL}, // 1e-344 * 2**1270
{0xbf29dcaba82fdeafULL, 0x8bcd1178c77f03ccULL}, // 1e-343 * 2**1267
{0xeef453d6923bd65bULL, 0xeec055d6f95ec4c0ULL}, // 1e-342 * 2**1264
{0x9558b4661b6565f9ULL, 0xb53835a65bdb3af8ULL}, // 1e-341 * 2**1260
{0xbaaee17fa23ebf77ULL, 0xa286430ff2d209b6ULL}, // 1e-340 * 2**1257
{0xe95a99df8ace6f54ULL, 0x0b27d3d3ef868c23ULL}, // 1e-339 * 2**1254
{0x91d8a02bb6c10595ULL, 0x86f8e46475b41796ULL}, // 1e-338 * 2**1250
{0xb64ec836a47146faULL, 0x68b71d7d93211d7bULL}, // 1e-337 * 2**1247
{0xe3e27a444d8d98b8ULL, 0x02e4e4dcf7e964daULL}, // 1e-336 * 2**1244
{0x8e6d8c6ab0787f73ULL, 0x01cf0f0a1af1df08ULL}, // 1e-335 * 2**1240
{0xb208ef855c969f50ULL, 0x4242d2cca1ae56caULL}, // 1e-334 * 2**1237
{0xde8b2b66b3bc4724ULL, 0x52d3877fca19ec7dULL}, // 1e-333 * 2**1234
{0x8b16fb203055ac77ULL, 0xb3c434afde5033ceULL}, // 1e-332 * 2**1230
{0xaddcb9e83c6b1794ULL, 0x20b541dbd5e440c2ULL}, // 1e-331 * 2**1227
{0xd953e8624b85dd79ULL, 0x28e29252cb5d50f2ULL}, // 1e-330 * 2**1224
{0x87d4713d6f33aa6cULL, 0x798d9b73bf1a5297ULL}, // 1e-329 * 2**1220
{0xa9c98d8ccb009507ULL, 0x97f10250aee0e73dULL}, // 1e-328 * 2**1217
{0xd43bf0effdc0ba49ULL, 0xfded42e4da99210dULL}, // 1e-327 * 2**1214
{0x84a57695fe98746eULL, 0xfeb449cf089fb4a8ULL}, // 1e-326 * 2**1210
{0xa5ced43b7e3e9189ULL, 0xbe615c42cac7a1d2ULL}, // 1e-325 * 2**1207
{0xcf42894a5dce35ebULL, 0xadf9b3537d798a46ULL}, // 1e-324 * 2**1204
{0x818995ce7aa0e1b3ULL, 0x8cbc10142e6bf66cULL}, // 1e-323 * 2**1200
{0xa1ebfb4219491a20ULL, 0xefeb14193a06f407ULL}, // 1e-322 * 2**1197
{0xca66fa129f9b60a7ULL, 0x2be5d91f8888b109ULL}, // 1e-321 * 2**1194
{0xfd00b897478238d1ULL, 0x76df4f676aaadd4bULL}, // 1e-320 * 2**1191
{0x9e20735e8cb16383ULL, 0xaa4b91a0a2aaca4fULL}, // 1e-319 * 2**1187
{0xc5a890362fddbc63ULL, 0x14de7608cb557ce2ULL}, // 1e-318 * 2**1184
{0xf712b443bbd52b7cULL, 0x5a16138afe2adc1bULL}, // 1e-317 * 2**1181
{0x9a6bb0aa55653b2eULL, 0xb84dcc36dedac991ULL}, // 1e-316 * 2**1177
{0xc1069cd4eabe89f9ULL, 0x66613f4496917bf5ULL}, // 1e-315 * 2**1174
{0xf148440a256e2c77ULL, 0x3ff98f15bc35daf2ULL}, // 1e-314 * 2**1171
{0x96cd2a865764dbcbULL, 0xc7fbf96d95a1a8d7ULL}, // 1e-313 * 2**1167
{0xbc807527ed3e12bdULL, 0x39faf7c8fb0a130dULL}, // 1e-312 * 2**1164
{0xeba09271e88d976cULL, 0x0879b5bb39cc97d1ULL}, // 1e-311 * 2**1161
{0x93445b8731587ea4ULL, 0x854c1195041fdee2ULL}, // 1e-310 * 2**1157
{0xb8157268fdae9e4dULL, 0xa69f15fa4527d69bULL}, // 1e-309 * 2**1154
{0xe61acf033d1a45e0ULL, 0x9046db78d671cc42ULL}, // 1e-308 * 2**1151
{0x8fd0c16206306bacULL, 0x5a2c492b86071fa9ULL}, // 1e-307 * 2**1147
{0xb3c4f1ba87bc8697ULL, 0x70b75b766788e793ULL}, // 1e-306 * 2**1144
{0xe0b62e2929aba83dULL, 0xcce53254016b2178ULL}, // 1e-305 * 2**1141
{0x8c71dcd9ba0b4926ULL, 0x600f3f7480e2f4ebULL}, // 1e-304 * 2**1137
{0xaf8e5410288e1b70ULL, 0xf8130f51a11bb226ULL}, // 1e-303 * 2**1134
{0xdb71e91432b1a24bULL, 0x3617d32609629eafULL}, // 1e-302 * 2**1131
{0x892731ac9faf056fULL, 0x41cee3f7c5dda32dULL}, // 1e-301 * 2**1127
{0xab70fe17c79ac6cbULL, 0x92429cf5b7550bf9ULL}, // 1e-300 * 2**1124
{0xd64d3d9db981787eULL, 0xf6d34433252a4ef7ULL}, // 1e-299 * 2**1121
{0x85f0468293f0eb4fULL, 0xda440a9ff73a715aULL}, // 1e-298 * 2**1117
{0xa76c582338ed2622ULL, 0x50d50d47f5090db1ULL}, // 1e-297 * 2**1114
{0xd1476e2c07286fabULL, 0xe50a5099f24b511eULL}, // 1e-296 * 2**1111
{0x82cca4db847945cbULL, 0xaf267260376f12b2ULL}, // 1e-295 * 2**1107
{0xa37fce126597973dULL, 0x1af00ef8454ad75fULL}, // 1e-294 * 2**1104
{0xcc5fc196fefd7d0dULL, 0xe1ac12b6569d8d37ULL}, // 1e-293 * 2**1101
{0xff77b1fcbebcdc50ULL, 0xda171763ec44f085ULL}, // 1e-292 * 2**1098
{0x9faacf3df73609b2ULL, 0x884e6e9e73ab1653ULL}, // 1e-291 * 2**1094
{0xc795830d75038c1eULL, 0x2a620a461095dbe8ULL}, // 1e-290 * 2**1091
{0xf97ae3d0d2446f26ULL, 0xb4fa8cd794bb52e2ULL}, // 1e-289 * 2**1088
{0x9becce62836ac578ULL, 0xb11c9806bcf513cdULL}, // 1e-288 * 2**1084
{0xc2e801fb244576d6ULL, 0xdd63be086c3258c0ULL}, // 1e-287 * 2**1081
{0xf3a20279ed56d48bULL, 0x94bcad8a873eeef0ULL}, // 1e-286 * 2**1078
{0x9845418c345644d7ULL, 0x7cf5ec7694875556ULL}, // 1e-285 * 2**1074
{0xbe5691ef416bd60dULL, 0xdc33679439a92aacULL}, // 1e-284 * 2**1071
{0xedec366b11c6cb90ULL, 0xd340417948137557ULL}, // 1e-283 * 2**1068
{0x94b3a202eb1c3f3aULL, 0x840828ebcd0c2956ULL}, // 1e-282 * 2**1064
{0xb9e08a83a5e34f08ULL, 0x250a3326c04f33acULL}, // 1e-281 * 2**1061
{0xe858ad248f5c22caULL, 0x2e4cbff070630097ULL}, // 1e-280 * 2**1058
{0x91376c36d99995bfULL, 0xdceff7f6463de05eULL}, // 1e-279 * 2**1054
{0xb58547448ffffb2eULL, 0x542bf5f3d7cd5875ULL}, // 1e-278 * 2**1051
{0xe2e69915b3fff9faULL, 0xe936f370cdc0ae93ULL}, // 1e-277 * 2**1048
{0x8dd01fad907ffc3cULL, 0x51c2582680986d1cULL}, // 1e-276 * 2**1044
{0xb1442798f49ffb4bULL, 0x6632ee3020be8863ULL}, // 1e-275 * 2**1041
{0xdd95317f31c7fa1eULL, 0xbfbfa9bc28ee2a7cULL}, // 1e-274 * 2**1038
{0x8a7d3eef7f1cfc53ULL, 0xb7d7ca159994da8dULL}, // 1e-273 * 2**1034
{0xad1c8eab5ee43b67ULL, 0x25cdbc9afffa1130ULL}, // 1e-272 * 2**1031
{0xd863b256369d4a41ULL, 0x6f412bc1bff8957dULL}, // 1e-271 * 2**1028
{0x873e4f75e2224e69ULL, 0xa588bb5917fb5d6eULL}, // 1e-270 * 2**1024
{0xa90de3535aaae203ULL, 0x8eeaea2f5dfa34c9ULL}, // 1e-269 * 2**1021
{0xd3515c2831559a84ULL, 0xf2a5a4bb3578c1fcULL}, // 1e-268 * 2**1018
{0x8412d9991ed58092ULL, 0x17a786f5016b793dULL}, // 1e-267 * 2**1014
{0xa5178fff668ae0b7ULL, 0x9d9168b241c6578dULL}, // 1e-266 * 2**1011
{0xce5d73ff402d98e4ULL, 0x04f5c2ded237ed70ULL}, // 1e-265 * 2**1008
{0x80fa687f881c7f8fULL, 0x831999cb4362f466ULL}, // 1e-264 * 2**1004
{0xa139029f6a239f73ULL, 0xe3e0003e143bb17fULL}, // 1e-263 * 2**1001
{0xc987434744ac874fULL, 0x5cd8004d994a9ddfULL}, // 1e-262 * 2**998
{0xfbe9141915d7a923ULL, 0xb40e0060ff9d4557ULL}, // 1e-261 * 2**995
{0x9d71ac8fada6c9b6ULL, 0x9088c03c9fc24b56ULL}, // 1e-260 * 2**991
{0xc4ce17b399107c23ULL, 0x34aaf04bc7b2de2cULL}, // 1e-259 * 2**988
{0xf6019da07f549b2cULL, 0x81d5ac5eb99f95b7ULL}, // 1e-258 * 2**985
{0x99c102844f94e0fcULL, 0xd1258bbb3403bd92ULL}, // 1e-257 * 2**981
{0xc0314325637a193aULL, 0x056eeeaa0104acf7ULL}, // 1e-256 * 2**978
{0xf03d93eebc589f89ULL, 0x86caaa548145d835ULL}, // 1e-255 * 2**975
{0x96267c7535b763b6ULL, 0xb43eaa74d0cba721ULL}, // 1e-254 * 2**971
{0xbbb01b9283253ca3ULL, 0x614e551204fe90e9ULL}, // 1e-253 * 2**968
{0xea9c227723ee8bccULL, 0xb9a1ea56863e3523ULL}, // 1e-252 * 2**965
{0x92a1958a76751760ULL, 0xf405327613e6e136ULL}, // 1e-251 * 2**961
{0xb749faed14125d37ULL, 0x31067f1398e09984ULL}, // 1e-250 * 2**958
{0xe51c79a85916f485ULL, 0x7d481ed87f18bfe5ULL}, // 1e-249 * 2**955
{0x8f31cc0937ae58d3ULL, 0x2e4d13474f6f77efULL}, // 1e-248 * 2**951
{0xb2fe3f0b8599ef08ULL, 0x79e05819234b55eaULL}, // 1e-247 * 2**948
{0xdfbdcece67006acaULL, 0x98586e1f6c1e2b65ULL}, // 1e-246 * 2**945
{0x8bd6a141006042beULL, 0x1f3744d3a392db1fULL}, // 1e-245 * 2**941
{0xaecc49914078536eULL, 0xa70516088c7791e7ULL}, // 1e-244 * 2**938
{0xda7f5bf590966849ULL, 0x50c65b8aaf957661ULL}, // 1e-243 * 2**935
{0x888f99797a5e012eULL, 0x927bf936adbd69fcULL}, // 1e-242 * 2**931
{0xaab37fd7d8f58179ULL, 0x371af784592cc47cULL}, // 1e-241 * 2**928
{0xd5605fcdcf32e1d7ULL, 0x04e1b5656f77f59bULL}, // 1e-240 * 2**925
{0x855c3be0a17fcd27ULL, 0xa30d115f65aaf980ULL}, // 1e-239 * 2**921
{0xa6b34ad8c9dfc070ULL, 0x0bd055b73f15b7e1ULL}, // 1e-238 * 2**918
{0xd0601d8efc57b08cULL, 0x0ec46b250edb25d9ULL}, // 1e-237 * 2**915
{0x823c12795db6ce58ULL, 0x893ac2f72948f7a7ULL}, // 1e-236 * 2**911
{0xa2cb1717b52481eeULL, 0xab8973b4f39b3591ULL}, // 1e-235 * 2**908
{0xcb7ddcdda26da269ULL, 0x566bd0a2308202f6ULL}, // 1e-234 * 2**905
{0xfe5d54150b090b03ULL, 0x2c06c4cabca283b3ULL}, // 1e-233 * 2**902
{0x9efa548d26e5a6e2ULL, 0x3b843afeb5e59250ULL}, // 1e-232 * 2**898
{0xc6b8e9b0709f109bULL, 0xca6549be635ef6e4ULL}, // 1e-231 * 2**895
{0xf867241c8cc6d4c1ULL, 0x3cfe9c2dfc36b49dULL}, // 1e-230 * 2**892
{0x9b407691d7fc44f9ULL, 0x861f219cbda230e2ULL}, // 1e-229 * 2**888
{0xc21094364dfb5637ULL, 0x67a6ea03ed0abd1bULL}, // 1e-228 * 2**885
{0xf294b943e17a2bc5ULL, 0xc190a484e84d6c62ULL}, // 1e-227 * 2**882
{0x979cf3ca6cec5b5bULL, 0x58fa66d3113063bdULL}, // 1e-226 * 2**878
{0xbd8430bd08277232ULL, 0xaf390087d57c7cacULL}, // 1e-225 * 2**875
{0xece53cec4a314ebeULL, 0x5b0740a9cadb9bd7ULL}, // 1e-224 * 2**872
{0x940f4613ae5ed137ULL, 0x78e4886a1ec94166ULL}, // 1e-223 * 2**868
{0xb913179899f68585ULL, 0xd71daa84a67b91c0ULL}, // 1e-222 * 2**865
{0xe757dd7ec07426e6ULL, 0xcce51525d01a7630ULL}, // 1e-221 * 2**862
{0x9096ea6f38489850ULL, 0xc00f2d37a21089deULL}, // 1e-220 * 2**858
{0xb4bca50b065abe64ULL, 0xf012f8858a94ac56ULL}, // 1e-219 * 2**855
{0xe1ebce4dc7f16dfcULL, 0x2c17b6a6ed39d76bULL}, // 1e-218 * 2**852
{0x8d3360f09cf6e4beULL, 0x9b8ed228544426a3ULL}, // 1e-217 * 2**848
{0xb080392cc4349dedULL, 0x427286b26955304cULL}, // 1e-216 * 2**845
{0xdca04777f541c568ULL, 0x130f285f03aa7c5fULL}, // 1e-215 * 2**842
{0x89e42caaf9491b61ULL, 0x0be9793b624a8dbbULL}, // 1e-214 * 2**838
{0xac5d37d5b79b623aULL, 0xcee3d78a3add312aULL}, // 1e-213 * 2**835
{0xd77485cb25823ac8ULL, 0x829ccd6cc9947d74ULL}, // 1e-212 * 2**832
{0x86a8d39ef77164bdULL, 0x51a20063fdfcce68ULL}, // 1e-211 * 2**828
{0xa8530886b54dbdecULL, 0x260a807cfd7c0203ULL}, // 1e-210 * 2**825
{0xd267caa862a12d67ULL, 0x2f8d209c3cdb0284ULL}, // 1e-209 * 2**822
{0x8380dea93da4bc61ULL, 0xbdb83461a608e192ULL}, // 1e-208 * 2**818
{0xa46116538d0deb79ULL, 0xad26417a0f8b19f7ULL}, // 1e-207 * 2**815
{0xcd795be870516657ULL, 0x986fd1d8936de074ULL}, // 1e-206 * 2**812
{0x806bd9714632dff7ULL, 0xff45e3275c24ac49ULL}, // 1e-205 * 2**808
{0xa086cfcd97bf97f4ULL, 0x7f175bf1332dd75bULL}, // 1e-204 * 2**805
{0xc8a883c0fdaf7df1ULL, 0x9edd32ed7ff94d32ULL}, // 1e-203 * 2**802
{0xfad2a4b13d1b5d6dULL, 0x86947fa8dff7a07eULL}, // 1e-202 * 2**799
{0x9cc3a6eec6311a64ULL, 0x341ccfc98bfac44fULL}, // 1e-201 * 2**795
{0xc3f490aa77bd60fdULL, 0x412403bbeef97563ULL}, // 1e-200 * 2**792
{0xf4f1b4d515acb93cULL, 0x116d04aaeab7d2bbULL}, // 1e-199 * 2**789
{0x991711052d8bf3c6ULL, 0x8ae422ead2b2e3b5ULL}, // 1e-198 * 2**785
{0xbf5cd54678eef0b7ULL, 0x2d9d2ba5875f9ca2ULL}, // 1e-197 * 2**782
{0xef340a98172aace5ULL, 0x7904768ee93783cbULL}, // 1e-196 * 2**779
{0x9580869f0e7aac0fULL, 0x2ba2ca1951c2b25fULL}, // 1e-195 * 2**775
{0xbae0a846d2195713ULL, 0x768b7c9fa6335ef6ULL}, // 1e-194 * 2**772
{0xe998d258869facd8ULL, 0xd42e5bc78fc036b4ULL}, // 1e-193 * 2**769
{0x91ff83775423cc07ULL, 0x849cf95cb9d82230ULL}, // 1e-192 * 2**765
{0xb67f6455292cbf09ULL, 0xe5c437b3e84e2abdULL}, // 1e-191 * 2**762
{0xe41f3d6a7377eecbULL, 0xdf3545a0e261b56cULL}, // 1e-190 * 2**759
{0x8e938662882af53fULL, 0xab814b848d7d1163ULL}, // 1e-189 * 2**755
{0xb23867fb2a35b28eULL, 0x16619e65b0dc55bcULL}, // 1e-188 * 2**752
{0xdec681f9f4c31f32ULL, 0x9bfa05ff1d136b2bULL}, // 1e-187 * 2**749
{0x8b3c113c38f9f37fULL, 0x217c43bf722c22fbULL}, // 1e-186 * 2**745
{0xae0b158b4738705fULL, 0x69db54af4eb72bbaULL}, // 1e-185 * 2**742
{0xd98ddaee19068c77ULL, 0xc45229db2264f6a8ULL}, // 1e-184 * 2**739
{0x87f8a8d4cfa417caULL, 0x1ab35a28f57f1a29ULL}, // 1e-183 * 2**735
{0xa9f6d30a038d1dbdULL, 0xa16030b332dee0b3ULL}, // 1e-182 * 2**732
{0xd47487cc8470652cULL, 0x89b83cdfff9698e0ULL}, // 1e-181 * 2**729
{0x84c8d4dfd2c63f3cULL, 0xd613260bffbe1f8cULL}, // 1e-180 * 2**725
{0xa5fb0a17c777cf0aULL, 0x0b97ef8effada76fULL}, // 1e-179 * 2**722
{0xcf79cc9db955c2cdULL, 0x8e7deb72bf99114bULL}, // 1e-178 * 2**719
{0x81ac1fe293d599c0ULL, 0x390eb327b7bfaacfULL}, // 1e-177 * 2**715
{0xa21727db38cb0030ULL, 0x47525ff1a5af9583ULL}, // 1e-176 * 2**712
{0xca9cf1d206fdc03cULL, 0x5926f7ee0f1b7ae3ULL}, // 1e-175 * 2**709
{0xfd442e4688bd304bULL, 0x6f70b5e992e2599cULL}, // 1e-174 * 2**706
{0x9e4a9cec15763e2fULL, 0x65a671b1fbcd7801ULL}, // 1e-173 * 2**702
{0xc5dd44271ad3cdbbULL, 0xbf100e1e7ac0d602ULL}, // 1e-172 * 2**699
{0xf7549530e188c129ULL, 0x2ed411a619710b83ULL}, // 1e-171 * 2**696
{0x9a94dd3e8cf578baULL, 0x7d448b07cfe6a731ULL}, // 1e-170 * 2**692
{0xc13a148e3032d6e8ULL, 0x1c95adc9c3e050feULL}, // 1e-169 * 2**689
{0xf18899b1bc3f8ca2ULL, 0x23bb193c34d8653eULL}, // 1e-168 * 2**686
{0x96f5600f15a7b7e6ULL, 0xd654efc5a1073f46ULL}, // 1e-167 * 2**682
{0xbcb2b812db11a5dfULL, 0x8bea2bb709490f18ULL}, // 1e-166 * 2**679
{0xebdf661791d60f57ULL, 0xeee4b6a4cb9b52deULL}, // 1e-165 * 2**676
{0x936b9fcebb25c996ULL, 0x354ef226ff4113cbULL}, // 1e-164 * 2**672
{0xb84687c269ef3bfcULL, 0xc2a2aeb0bf1158bdULL}, // 1e-163 * 2**669
{0xe65829b3046b0afbULL, 0xf34b5a5ceed5aeedULL}, // 1e-162 * 2**666
{0x8ff71a0fe2c2e6ddULL, 0xb80f187a15458d54ULL}, // 1e-161 * 2**662
{0xb3f4e093db73a094ULL, 0xa612de989a96f0a9ULL}, // 1e-160 * 2**659
{0xe0f218b8d25088b9ULL, 0xcf97963ec13cacd3ULL}, // 1e-159 * 2**656
{0x8c974f7383725574ULL, 0xe1bebde738c5ec04ULL}, // 1e-158 * 2**652
{0xafbd2350644eead0ULL, 0x1a2e6d6106f76705ULL}, // 1e-157 * 2**649
{0xdbac6c247d62a584ULL, 0x20ba08b948b540c6ULL}, // 1e-156 * 2**646
{0x894bc396ce5da773ULL, 0x94744573cd71487cULL}, // 1e-155 * 2**642
{0xab9eb47c81f51150ULL, 0xf99156d0c0cd9a9bULL}, // 1e-154 * 2**639
{0xd686619ba27255a3ULL, 0x37f5ac84f1010142ULL}, // 1e-153 * 2**636
{0x8613fd0145877586ULL, 0x42f98bd316a0a0c9ULL}, // 1e-152 * 2**632
{0xa798fc4196e952e8ULL, 0xd3b7eec7dc48c8fbULL}, // 1e-151 * 2**629
{0xd17f3b51fca3a7a1ULL, 0x08a5ea79d35afb3aULL}, // 1e-150 * 2**626
{0x82ef85133de648c5ULL, 0x6567b28c2418dd04ULL}, // 1e-149 * 2**622
{0xa3ab66580d5fdaf6ULL, 0x3ec19f2f2d1f1445ULL}, // 1e-148 * 2**619
{0xcc963fee10b7d1b4ULL, 0xce7206faf866d957ULL}, // 1e-147 * 2**616
{0xffbbcfe994e5c620ULL, 0x020e88b9b6808fadULL}, // 1e-146 * 2**613
{0x9fd561f1fd0f9bd4ULL, 0x01491574121059ccULL}, // 1e-145 * 2**609
{0xc7caba6e7c5382c9ULL, 0x019b5ad11694703fULL}, // 1e-144 * 2**606
{0xf9bd690a1b68637cULL, 0xc20231855c398c4fULL}, // 1e-143 * 2**603
{0x9c1661a651213e2eULL, 0xf9415ef359a3f7b1ULL}, // 1e-142 * 2**599
{0xc31bfa0fe5698db9ULL, 0xb791b6b0300cf59dULL}, // 1e-141 * 2**596
{0xf3e2f893dec3f127ULL, 0xa576245c3c103305ULL}, // 1e-140 * 2**593
{0x986ddb5c6b3a76b8ULL, 0x0769d6b9a58a1fe3ULL}, // 1e-139 * 2**589
{0xbe89523386091466ULL, 0x09444c680eeca7dcULL}, // 1e-138 * 2**586
{0xee2ba6c0678b5980ULL, 0x8b955f8212a7d1d3ULL}, // 1e-137 * 2**583
{0x94db483840b717f0ULL, 0x573d5bb14ba8e323ULL}, // 1e-136 * 2**579
{0xba121a4650e4ddecULL, 0x6d0cb29d9e931becULL}, // 1e-135 * 2**576
{0xe896a0d7e51e1567ULL, 0x884fdf450637e2e8ULL}, // 1e-134 * 2**573
{0x915e2486ef32cd61ULL, 0xf531eb8b23e2edd1ULL}, // 1e-133 * 2**569
{0xb5b5ada8aaff80b9ULL, 0xf27e666decdba945ULL}, // 1e-132 * 2**566
{0xe3231912d5bf60e7ULL, 0xef1e000968129396ULL}, // 1e-131 * 2**563
{0x8df5efabc5979c90ULL, 0x3572c005e10b9c3eULL}, // 1e-130 * 2**559
{0xb1736b96b6fd83b4ULL, 0x42cf7007594e834dULL}, // 1e-129 * 2**556
{0xddd0467c64bce4a1ULL, 0x53834c092fa22421ULL}, // 1e-128 * 2**553
{0x8aa22c0dbef60ee5ULL, 0x94320f85bdc55694ULL}, // 1e-127 * 2**549
{0xad4ab7112eb3929eULL, 0x793e93672d36ac39ULL}, // 1e-126 * 2**546
{0xd89d64d57a607745ULL, 0x178e3840f8845748ULL}, // 1e-125 * 2**543
{0x87625f056c7c4a8cULL, 0xeeb8e3289b52b68dULL}, // 1e-124 * 2**539
{0xa93af6c6c79b5d2eULL, 0x2a671bf2c2276430ULL}, // 1e-123 * 2**536
{0xd389b4787982347aULL, 0xb500e2ef72b13d3cULL}, // 1e-122 * 2**533
{0x843610cb4bf160ccULL, 0x31208dd5a7aec645ULL}, // 1e-121 * 2**529
{0xa54394fe1eedb8ffULL, 0x3d68b14b119a77d7ULL}, // 1e-120 * 2**526
{0xce947a3da6a9273fULL, 0x8cc2dd9dd60115cdULL}, // 1e-119 * 2**523
{0x811ccc668829b888ULL, 0xf7f9ca82a5c0ada0ULL}, // 1e-118 * 2**519
{0xa163ff802a3426a9ULL, 0x35f83d234f30d908ULL}, // 1e-117 * 2**516
{0xc9bcff6034c13053ULL, 0x03764c6c22fd0f4aULL}, // 1e-116 * 2**513
{0xfc2c3f3841f17c68ULL, 0x4453df872bbc531dULL}, // 1e-115 * 2**510
{0x9d9ba7832936edc1ULL, 0x2ab46bb47b55b3f2ULL}, // 1e-114 * 2**506
{0xc5029163f384a932ULL, 0xf56186a19a2b20eeULL}, // 1e-113 * 2**503
{0xf64335bcf065d37eULL, 0xb2b9e84a00b5e92aULL}, // 1e-112 * 2**500
{0x99ea0196163fa42fULL, 0xafb4312e4071b1baULL}, // 1e-111 * 2**496
{0xc06481fb9bcf8d3aULL, 0x1ba13d79d08e1e29ULL}, // 1e-110 * 2**493
{0xf07da27a82c37089ULL, 0xa2898cd844b1a5b3ULL}, // 1e-109 * 2**490
{0x964e858c91ba2656ULL, 0xc595f8072aef0790ULL}, // 1e-108 * 2**486
{0xbbe226efb628afebULL, 0x76fb7608f5aac974ULL}, // 1e-107 * 2**483
{0xeadab0aba3b2dbe6ULL, 0xd4ba538b33157bd1ULL}, // 1e-106 * 2**480
{0x92c8ae6b464fc970ULL, 0xc4f47436ffed6d62ULL}, // 1e-105 * 2**476
{0xb77ada0617e3bbccULL, 0xf6319144bfe8c8bbULL}, // 1e-104 * 2**473
{0xe55990879ddcaabeULL, 0x33bdf595efe2faeaULL}, // 1e-103 * 2**470
{0x8f57fa54c2a9eab7ULL, 0x6056b97db5eddcd2ULL}, // 1e-102 * 2**466
{0xb32df8e9f3546565ULL, 0xb86c67dd23695406ULL}, // 1e-101 * 2**463
{0xdff9772470297ebeULL, 0xa68781d46c43a908ULL}, // 1e-100 * 2**460
{0x8bfbea76c619ef37ULL, 0xa814b124c3aa49a5ULL}, // 1e-99 * 2**456
{0xaefae51477a06b04ULL, 0x1219dd6df494dc0eULL}, // 1e-98 * 2**453
{0xdab99e59958885c5ULL, 0x16a054c971ba1312ULL}, // 1e-97 * 2**450
{0x88b402f7fd75539cULL, 0xee2434fde7144bebULL}, // 1e-96 * 2**446
{0xaae103b5fcd2a882ULL, 0x29ad423d60d95ee6ULL}, // 1e-95 * 2**443
{0xd59944a37c0752a3ULL, 0xb41892ccb90fb6a0ULL}, // 1e-94 * 2**440
{0x857fcae62d8493a6ULL, 0x908f5bbff3a9d224ULL}, // 1e-93 * 2**436
{0xa6dfbd9fb8e5b88fULL, 0x34b332aff09446adULL}, // 1e-92 * 2**433
{0xd097ad07a71f26b3ULL, 0x81dfff5becb95858ULL}, // 1e-91 * 2**430
{0x825ecc24c8737830ULL, 0x712bff9973f3d737ULL}, // 1e-90 * 2**426
{0xa2f67f2dfa90563cULL, 0x8d76ff7fd0f0cd05ULL}, // 1e-89 * 2**423
{0xcbb41ef979346bcbULL, 0xb0d4bf5fc52d0046ULL}, // 1e-88 * 2**420
{0xfea126b7d78186bdULL, 0x1d09ef37b6784057ULL}, // 1e-87 * 2**417
{0x9f24b832e6b0f437ULL, 0xf2263582d20b2836ULL}, // 1e-86 * 2**413
{0xc6ede63fa05d3144ULL, 0x6eafc2e3868df244ULL}, // 1e-85 * 2**410
{0xf8a95fcf88747d95ULL, 0x8a5bb39c68316ed5ULL}, // 1e-84 * 2**407
{0x9b69dbe1b548ce7dULL, 0x36795041c11ee545ULL}, // 1e-83 * 2**403
{0xc24452da229b021cULL, 0x0417a45231669e97ULL}, // 1e-82 * 2**400
{0xf2d56790ab41c2a3ULL, 0x051d8d66bdc0463cULL}, // 1e-81 * 2**397
{0x97c560ba6b0919a6ULL, 0x2332786036982be5ULL}, // 1e-80 * 2**393
{0xbdb6b8e905cb6010ULL, 0xabff1678443e36dfULL}, // 1e-79 * 2**390
{0xed246723473e3814ULL, 0xd6fedc16554dc497ULL}, // 1e-78 * 2**387
{0x9436c0760c86e30cULL, 0x065f498df5509adeULL}, // 1e-77 * 2**383
{0xb94470938fa89bcfULL, 0x07f71bf172a4c196ULL}, // 1e-76 * 2**380
{0xe7958cb87392c2c3ULL, 0x49f4e2edcf4df1fbULL}, // 1e-75 * 2**377
{0x90bd77f3483bb9baULL, 0x4e390dd4a190b73dULL}, // 1e-74 * 2**373
{0xb4ecd5f01a4aa829ULL, 0xe1c75149c9f4e50cULL}, // 1e-73 * 2**370
{0xe2280b6c20dd5233ULL, 0xda39259c3c721e4fULL}, // 1e-72 * 2**367
{0x8d590723948a5360ULL, 0xa863b781a5c752f1ULL}, // 1e-71 * 2**363
{0xb0af48ec79ace838ULL, 0xd27ca5620f3927aeULL}, // 1e-70 * 2**360
{0xdcdb1b2798182245ULL, 0x071bceba9307719aULL}, // 1e-69 * 2**357
{0x8a08f0f8bf0f156cULL, 0xe47161349be4a700ULL}, // 1e-68 * 2**353
{0xac8b2d36eed2dac6ULL, 0x1d8db981c2ddd0c0ULL}, // 1e-67 * 2**350
{0xd7adf884aa879178ULL, 0xa4f127e2339544f0ULL}, // 1e-66 * 2**347
{0x86ccbb52ea94baebULL, 0x6716b8ed603d4b16ULL}, // 1e-65 * 2**343
{0xa87fea27a539e9a6ULL, 0xc0dc6728b84c9ddbULL}, // 1e-64 * 2**340
{0xd29fe4b18e88640fULL, 0x711380f2e65fc552ULL}, // 1e-63 * 2**337
{0x83a3eeeef9153e8aULL, 0xe6ac3097cffbdb53ULL}, // 1e-62 * 2**333
{0xa48ceaaab75a8e2cULL, 0xa0573cbdc3fad228ULL}, // 1e-61 * 2**330
{0xcdb02555653131b7ULL, 0xc86d0bed34f986b2ULL}, // 1e-60 * 2**327
{0x808e17555f3ebf12ULL, 0x1d442774411bf42fULL}, // 1e-59 * 2**323
{0xa0b19d2ab70e6ed7ULL, 0xa49531515162f13bULL}, // 1e-58 * 2**320
{0xc8de047564d20a8cULL, 0x0dba7da5a5bbad8aULL}, // 1e-57 * 2**317
{0xfb158592be068d2fULL, 0x11291d0f0f2a98edULL}, // 1e-56 * 2**314
{0x9ced737bb6c4183eULL, 0xaab9b229697a9f94ULL}, // 1e-55 * 2**310
{0xc428d05aa4751e4dULL, 0x55681eb3c3d94779ULL}, // 1e-54 * 2**307
{0xf53304714d9265e0ULL, 0x2ac22660b4cf9957ULL}, // 1e-53 * 2**304
{0x993fe2c6d07b7facULL, 0x1ab957fc7101bfd6ULL}, // 1e-52 * 2**300
{0xbf8fdb78849a5f97ULL, 0x2167adfb8d422fccULL}, // 1e-51 * 2**297
{0xef73d256a5c0f77dULL, 0x69c1997a7092bbbfULL}, // 1e-50 * 2**294
{0x95a8637627989aaeULL, 0x2218ffec865bb557ULL}, // 1e-49 * 2**290
{0xbb127c53b17ec15aULL, 0xaa9f3fe7a7f2a2adULL}, // 1e-48 * 2**287
{0xe9d71b689dde71b0ULL, 0x55470fe191ef4b59ULL}, // 1e-47 * 2**284
{0x9226712162ab070eULL, 0x354c69ecfb358f17ULL}, // 1e-46 * 2**280
{0xb6b00d69bb55c8d2ULL, 0xc29f84683a02f2ddULL}, // 1e-45 * 2**277
{0xe45c10c42a2b3b06ULL, 0x734765824883af95ULL}, // 1e-44 * 2**274
{0x8eb98a7a9a5b04e4ULL, 0x880c9f716d524dbdULL}, // 1e-43 * 2**270
{0xb267ed1940f1c61dULL, 0xaa0fc74dc8a6e12cULL}, // 1e-42 * 2**267
{0xdf01e85f912e37a4ULL, 0x9493b9213ad09977ULL}, // 1e-41 * 2**264
{0x8b61313bbabce2c7ULL, 0xdcdc53b4c4c25feaULL}, // 1e-40 * 2**260
{0xae397d8aa96c1b78ULL, 0x541368a1f5f2f7e5ULL}, // 1e-39 * 2**257
{0xd9c7dced53c72256ULL, 0x691842ca736fb5deULL}, // 1e-38 * 2**254
{0x881cea14545c7576ULL, 0x81af29be8825d1abULL}, // 1e-37 * 2**250
{0xaa242499697392d3ULL, 0x221af42e2a2f4616ULL}, // 1e-36 * 2**247
{0xd4ad2dbfc3d07788ULL, 0x6aa1b139b4bb179bULL}, // 1e-35 * 2**244
{0x84ec3c97da624ab5ULL, 0x42a50ec410f4eec1ULL}, // 1e-34 * 2**240
{0xa6274bbdd0fadd62ULL, 0x134e527515322a71ULL}, // 1e-33 * 2**237
{0xcfb11ead453994bbULL, 0x9821e7125a7eb50dULL}, // 1e-32 * 2**234
{0x81ceb32c4b43fcf5ULL, 0x7f15306b788f3128ULL}, // 1e-31 * 2**230
{0xa2425ff75e14fc32ULL, 0x5eda7c8656b2fd72ULL}, // 1e-30 * 2**227
{0xcad2f7f5359a3b3fULL, 0xf6911ba7ec5fbccfULL}, // 1e-29 * 2**224
{0xfd87b5f28300ca0eULL, 0x74356291e777ac03ULL}, // 1e-28 * 2**221
{0x9e74d1b791e07e49ULL, 0x88a15d9b30aacb82ULL}, // 1e-27 * 2**217
{0xc612062576589ddbULL, 0x6ac9b501fcd57e62ULL}, // 1e-26 * 2**214
{0xf79687aed3eec552ULL, 0xc57c22427c0addfbULL}, // 1e-25 * 2**211
{0x9abe14cd44753b53ULL, 0x3b6d95698d86cabdULL}, // 1e-24 * 2**207
{0xc16d9a0095928a28ULL, 0x8a48fac3f0e87d6cULL}, // 1e-23 * 2**204
{0xf1c90080baf72cb2ULL, 0xacdb3974ed229cc7ULL}, // 1e-22 * 2**201
{0x971da05074da7befULL, 0x2c0903e91435a1fcULL}, // 1e-21 * 2**197
{0xbce5086492111aebULL, 0x770b44e359430a7bULL}, // 1e-20 * 2**194
{0xec1e4a7db69561a6ULL, 0xd4ce161c2f93cd1aULL}, // 1e-19 * 2**191
{0x9392ee8e921d5d08ULL, 0xc500cdd19dbc6030ULL}, // 1e-18 * 2**187
{0xb877aa3236a4b44aULL, 0xf6410146052b783dULL}, // 1e-17 * 2**184
{0xe69594bec44de15cULL, 0xb3d141978676564cULL}, // 1e-16 * 2**181
{0x901d7cf73ab0acdaULL, 0xf062c8feb409f5efULL}, // 1e-15 * 2**177
{0xb424dc35095cd810ULL, 0xac7b7b3e610c736bULL}, // 1e-14 * 2**174
{0xe12e13424bb40e14ULL, 0xd79a5a0df94f9046ULL}, // 1e-13 * 2**171
{0x8cbccc096f5088ccULL, 0x06c07848bbd1ba2cULL}, // 1e-12 * 2**167
{0xafebff0bcb24aaffULL, 0x0870965aeac628b7ULL}, // 1e-11 * 2**164
{0xdbe6fecebdedd5bfULL, 0x4a8cbbf1a577b2e4ULL}, // 1e-10 * 2**161
{0x89705f4136b4a598ULL, 0xce97f577076acfcfULL}, // 1e-9 * 2**157
{0xabcc77118461cefdULL, 0x023df2d4c94583c2ULL}, // 1e-8 * 2**154
{0xd6bf94d5e57a42bdULL, 0xc2cd6f89fb96e4b3ULL}, // 1e-7 * 2**151
{0x8637bd05af6c69b6ULL, 0x59c065b63d3e4ef0ULL}, // 1e-6 * 2**147
{0xa7c5ac471b478424ULL, 0xf0307f23cc8de2acULL}, // 1e-5 * 2**144
{0xd1b71758e219652cULL, 0x2c3c9eecbfb15b57ULL}, // 1e-4 * 2**141
{0x83126e978d4fdf3cULL, 0x9ba5e353f7ced916ULL}, // 1e-3 * 2**137
{0xa3d70a3d70a3d70bULL, 0xc28f5c28f5c28f5cULL}, // 1e-2 * 2**134
{0xcccccccccccccccdULL, 0x3333333333333333ULL}, // 1e-1 * 2**131
{0x8000000000000000ULL, 0x0000000000000000ULL}, // 1e0 * 2**127
{0xa000000000000000ULL, 0x0000000000000000ULL}, // 1e1 * 2**124
{0xc800000000000000ULL, 0x0000000000000000ULL}, // 1e2 * 2**121
{0xfa00000000000000ULL, 0x0000000000000000ULL}, // 1e3 * 2**118
{0x9c40000000000000ULL, 0x0000000000000000ULL}, // 1e4 * 2**114
{0xc350000000000000ULL, 0x0000000000000000ULL}, // 1e5 * 2**111
{0xf424000000000000ULL, 0x0000000000000000ULL}, // 1e6 * 2**108
{0x9896800000000000ULL, 0x0000000000000000ULL}, // 1e7 * 2**104
{0xbebc200000000000ULL, 0x0000000000000000ULL}, // 1e8 * 2**101
{0xee6b280000000000ULL, 0x0000000000000000ULL}, // 1e9 * 2**98
{0x9502f90000000000ULL, 0x0000000000000000ULL}, // 1e10 * 2**94
{0xba43b74000000000ULL, 0x0000000000000000ULL}, // 1e11 * 2**91
{0xe8d4a51000000000ULL, 0x0000000000000000ULL}, // 1e12 * 2**88
{0x9184e72a00000000ULL, 0x0000000000000000ULL}, // 1e13 * 2**84
{0xb5e620f480000000ULL, 0x0000000000000000ULL}, // 1e14 * 2**81
{0xe35fa931a0000000ULL, 0x0000000000000000ULL}, // 1e15 * 2**78
{0x8e1bc9bf04000000ULL, 0x0000000000000000ULL}, // 1e16 * 2**74
{0xb1a2bc2ec5000000ULL, 0x0000000000000000ULL}, // 1e17 * 2**71
{0xde0b6b3a76400000ULL, 0x0000000000000000ULL}, // 1e18 * 2**68
{0x8ac7230489e80000ULL, 0x0000000000000000ULL}, // 1e19 * 2**64
{0xad78ebc5ac620000ULL, 0x0000000000000000ULL}, // 1e20 * 2**61
{0xd8d726b7177a8000ULL, 0x0000000000000000ULL}, // 1e21 * 2**58
{0x878678326eac9000ULL, 0x0000000000000000ULL}, // 1e22 * 2**54
{0xa968163f0a57b400ULL, 0x0000000000000000ULL}, // 1e23 * 2**51
{0xd3c21bcecceda100ULL, 0x0000000000000000ULL}, // 1e24 * 2**48
{0x84595161401484a0ULL, 0x0000000000000000ULL}, // 1e25 * 2**44
{0xa56fa5b99019a5c8ULL, 0x0000000000000000ULL}, // 1e26 * 2**41
{0xcecb8f27f4200f3aULL, 0x0000000000000000ULL}, // 1e27 * 2**38
{0x813f3978f8940985ULL, 0xc000000000000000ULL}, // 1e28 * 2**34
{0xa18f07d736b90be6ULL, 0xb000000000000000ULL}, // 1e29 * 2**31
{0xc9f2c9cd04674edfULL, 0x5c00000000000000ULL}, // 1e30 * 2**28
{0xfc6f7c4045812297ULL, 0xb300000000000000ULL}, // 1e31 * 2**25
{0x9dc5ada82b70b59eULL, 0x0fe0000000000000ULL}, // 1e32 * 2**21
{0xc5371912364ce306ULL, 0x93d8000000000000ULL}, // 1e33 * 2**18
{0xf684df56c3e01bc7ULL, 0x38ce000000000000ULL}, // 1e34 * 2**15
{0x9a130b963a6c115dULL, 0xc380c00000000000ULL}, // 1e35 * 2**11
{0xc097ce7bc90715b4ULL, 0xb460f00000000000ULL}, // 1e36 * 2**8
{0xf0bdc21abb48db21ULL, 0xe1792c0000000000ULL}, // 1e37 * 2**5
{0x96769950b50d88f5ULL, 0xecebbb8000000000ULL}, // 1e38 * 2**1
{0xbc143fa4e250eb32ULL, 0xe826aa6000000000ULL}, // 1e39 * 2**-2
{0xeb194f8e1ae525feULL, 0xa23054f800000000ULL}, // 1e40 * 2**-5
{0x92efd1b8d0cf37bfULL, 0xa55e351b00000000ULL}, // 1e41 * 2**-9
{0xb7abc627050305aeULL, 0x0eb5c261c0000000ULL}, // 1e42 * 2**-12
{0xe596b7b0c643c71aULL, 0x926332fa30000000ULL}, // 1e43 * 2**-15
{0x8f7e32ce7bea5c70ULL, 0x1b7dffdc5e000000ULL}, // 1e44 * 2**-19
{0xb35dbf821ae4f38cULL, 0x225d7fd375800000ULL}, // 1e45 * 2**-22
{0xe0352f62a19e306fULL, 0x2af4dfc852e00000ULL}, // 1e46 * 2**-25
{0x8c213d9da502de46ULL, 0xbad90bdd33cc0000ULL}, // 1e47 * 2**-29
{0xaf298d050e4395d7ULL, 0x698f4ed480bf0000ULL}, // 1e48 * 2**-32
{0xdaf3f04651d47b4dULL, 0xc3f32289a0eec000ULL}, // 1e49 * 2**-35
{0x88d8762bf324cd10ULL, 0x5a77f59604953800ULL}, // 1e50 * 2**-39
{0xab0e93b6efee0054ULL, 0x7115f2fb85ba8600ULL}, // 1e51 * 2**-42
{0xd5d238a4abe98069ULL, 0x8d5b6fba67292780ULL}, // 1e52 * 2**-45
{0x85a36366eb71f042ULL, 0xb85925d48079b8b0ULL}, // 1e53 * 2**-49
{0xa70c3c40a64e6c52ULL, 0x666f6f49a09826dcULL}, // 1e54 * 2**-52
{0xd0cf4b50cfe20766ULL, 0x000b4b1c08be3093ULL}, // 1e55 * 2**-55
{0x82818f1281ed44a0ULL, 0x40070ef18576de5bULL}, // 1e56 * 2**-59
{0xa321f2d7226895c8ULL, 0x5008d2ade6d495f2ULL}, // 1e57 * 2**-62
{0xcbea6f8ceb02bb3aULL, 0x640b07596089bb6fULL}, // 1e58 * 2**-65
{0xfee50b7025c36a09ULL, 0xfd0dc92fb8ac2a4bULL}, // 1e59 * 2**-68
{0x9f4f2726179a2246ULL, 0xfe289dbdd36b9a6fULL}, // 1e60 * 2**-72
{0xc722f0ef9d80aad7ULL, 0xbdb2c52d4846810aULL}, // 1e61 * 2**-75
{0xf8ebad2b84e0d58cULL, 0x2d1f76789a58214dULL}, // 1e62 * 2**-78
{0x9b934c3b330c8578ULL, 0x9c33aa0b607714d0ULL}, // 1e63 * 2**-82
{0xc2781f49ffcfa6d6ULL, 0xc340948e3894da04ULL}, // 1e64 * 2**-85
{0xf316271c7fc3908bULL, 0x7410b9b1c6ba1085ULL}, // 1e65 * 2**-88
{0x97edd871cfda3a57ULL, 0x688a740f1c344a53ULL}, // 1e66 * 2**-92
{0xbde94e8e43d0c8edULL, 0xc2ad1112e3415ce8ULL}, // 1e67 * 2**-95
{0xed63a231d4c4fb28ULL, 0xb35855579c11b422ULL}, // 1e68 * 2**-98
{0x945e455f24fb1cf9ULL, 0x70173556c18b1095ULL}, // 1e69 * 2**-102
{0xb975d6b6ee39e437ULL, 0x4c1d02ac71edd4bbULL}, // 1e70 * 2**-105
{0xe7d34c64a9c85d45ULL, 0x9f2443578e6949e9ULL}, // 1e71 * 2**-108
{0x90e40fbeea1d3a4bULL, 0x4376aa16b901ce32ULL}, // 1e72 * 2**-112
{0xb51d13aea4a488deULL, 0x9454549c674241beULL}, // 1e73 * 2**-115
{0xe264589a4dcdab15ULL, 0x396969c38112d22eULL}, // 1e74 * 2**-118
{0x8d7eb76070a08aedULL, 0x03e1e21a30abc35dULL}, // 1e75 * 2**-122
{0xb0de65388cc8ada9ULL, 0xc4da5aa0bcd6b434ULL}, // 1e76 * 2**-125
{0xdd15fe86affad913ULL, 0xb610f148ec0c6141ULL}, // 1e77 * 2**-128
{0x8a2dbf142dfcc7acULL, 0x91ca96cd9387bcc8ULL}, // 1e78 * 2**-132
{0xacb92ed9397bf997ULL, 0xb63d3c80f869abfbULL}, // 1e79 * 2**-135
{0xd7e77a8f87daf7fcULL, 0x23cc8ba1368416f9ULL}, // 1e80 * 2**-138
{0x86f0ac99b4e8dafeULL, 0x965fd744c2128e5cULL}, // 1e81 * 2**-142
{0xa8acd7c0222311bdULL, 0x3bf7cd15f29731f3ULL}, // 1e82 * 2**-145
{0xd2d80db02aabd62cULL, 0x0af5c05b6f3cfe6fULL}, // 1e83 * 2**-148
{0x83c7088e1aab65dcULL, 0x86d9983925861f05ULL}, // 1e84 * 2**-152
{0xa4b8cab1a1563f53ULL, 0xa88ffe476ee7a6c7ULL}, // 1e85 * 2**-155
{0xcde6fd5e09abcf27ULL, 0x12b3fdd94aa19079ULL}, // 1e86 * 2**-158
{0x80b05e5ac60b6179ULL, 0xabb07ea7cea4fa4bULL}, // 1e87 * 2**-162
{0xa0dc75f1778e39d7ULL, 0x969c9e51c24e38deULL}, // 1e88 * 2**-165
{0xc913936dd571c84dULL, 0xfc43c5e632e1c716ULL}, // 1e89 * 2**-168
{0xfb5878494ace3a60ULL, 0xfb54b75fbf9a38dcULL}, // 1e90 * 2**-171
{0x9d174b2dcec0e47cULL, 0x9d14f29bd7c06389ULL}, // 1e91 * 2**-175
{0xc45d1df942711d9bULL, 0xc45a2f42cdb07c6bULL}, // 1e92 * 2**-178
{0xf5746577930d6501ULL, 0x3570bb13811c9b86ULL}, // 1e93 * 2**-181
{0x9968bf6abbe85f21ULL, 0x816674ec30b1e134ULL}, // 1e94 * 2**-185
{0xbfc2ef456ae276e9ULL, 0x61c012273cde5981ULL}, // 1e95 * 2**-188
{0xefb3ab16c59b14a3ULL, 0x3a3016b10c15efe1ULL}, // 1e96 * 2**-191
{0x95d04aee3b80ece6ULL, 0x445e0e2ea78db5edULL}, // 1e97 * 2**-195
{0xbb445da9ca612820ULL, 0xd57591ba51712368ULL}, // 1e98 * 2**-198
{0xea1575143cf97227ULL, 0x0ad2f628e5cd6c42ULL}, // 1e99 * 2**-201
{0x924d692ca61be759ULL, 0xa6c3d9d98fa063a9ULL}, // 1e100 * 2**-205
{0xb6e0c377cfa2e12fULL, 0x9074d04ff3887c93ULL}, // 1e101 * 2**-208
{0xe498f455c38b997bULL, 0xf4920463f06a9bb8ULL}, // 1e102 * 2**-211
{0x8edf98b59a373fedULL, 0xb8db42be7642a153ULL}, // 1e103 * 2**-215
{0xb2977ee300c50fe8ULL, 0xa712136e13d349a8ULL}, // 1e104 * 2**-218
{0xdf3d5e9bc0f653e2ULL, 0xd0d6984998c81c12ULL}, // 1e105 * 2**-221
{0x8b865b215899f46dULL, 0x42861f2dff7d118bULL}, // 1e106 * 2**-225
{0xae67f1e9aec07188ULL, 0x1327a6f97f5c55eeULL}, // 1e107 * 2**-228
{0xda01ee641a708deaULL, 0x17f190b7df336b6aULL}, // 1e108 * 2**-231
{0x884134fe908658b3ULL, 0xcef6fa72eb802322ULL}, // 1e109 * 2**-235
{0xaa51823e34a7eedfULL, 0x42b4b90fa6602beaULL}, // 1e110 * 2**-238
{0xd4e5e2cdc1d1ea97ULL, 0x9361e7538ff836e5ULL}, // 1e111 * 2**-241
{0x850fadc09923329fULL, 0xfc1d309439fb224fULL}, // 1e112 * 2**-245
{0xa6539930bf6bff46ULL, 0x7b247cb94879eae3ULL}, // 1e113 * 2**-248
{0xcfe87f7cef46ff17ULL, 0x19ed9be79a98659cULL}, // 1e114 * 2**-251
{0x81f14fae158c5f6fULL, 0xb0348170c09f3f81ULL}, // 1e115 * 2**-255
{0xa26da3999aef774aULL, 0x1c41a1ccf0c70f62ULL}, // 1e116 * 2**-258
{0xcb090c8001ab551dULL, 0xa3520a402cf8d33aULL}, // 1e117 * 2**-261
{0xfdcb4fa002162a64ULL, 0x8c268cd038370809ULL}, // 1e118 * 2**-264
{0x9e9f11c4014dda7fULL, 0xd798180223226505ULL}, // 1e119 * 2**-268
{0xc646d63501a1511eULL, 0x4d7e1e02abeafe47ULL}, // 1e120 * 2**-271
{0xf7d88bc24209a566ULL, 0xe0dda58356e5bdd9ULL}, // 1e121 * 2**-274
{0x9ae7575969460760ULL, 0xcc8a8772164f96a7ULL}, // 1e122 * 2**-278
{0xc1a12d2fc3978938ULL, 0xffad294e9be37c51ULL}, // 1e123 * 2**-281
{0xf209787bb47d6b85ULL, 0x3f9873a242dc5b65ULL}, // 1e124 * 2**-284
{0x9745eb4d50ce6333ULL, 0x07bf484569c9b91fULL}, // 1e125 * 2**-288
{0xbd176620a501fc00ULL, 0x49af1a56c43c2767ULL}, // 1e126 * 2**-291
{0xec5d3fa8ce427b00ULL, 0x5c1ae0ec754b3141ULL}, // 1e127 * 2**-294
{0x93ba47c980e98ce0ULL, 0x3990cc93c94efec8ULL}, // 1e128 * 2**-298
{0xb8a8d9bbe123f018ULL, 0x47f4ffb8bba2be7bULL}, // 1e129 * 2**-301
{0xe6d3102ad96cec1eULL, 0x59f23fa6ea8b6e1aULL}, // 1e130 * 2**-304
{0x9043ea1ac7e41393ULL, 0x783767c8529724d0ULL}, // 1e131 * 2**-308
{0xb454e4a179dd1878ULL, 0xd64541ba673cee04ULL}, // 1e132 * 2**-311
{0xe16a1dc9d8545e95ULL, 0x0bd69229010c2985ULL}, // 1e133 * 2**-314
{0x8ce2529e2734bb1eULL, 0xe7661b59a0a799f3ULL}, // 1e134 * 2**-318
{0xb01ae745b101e9e5ULL, 0xa13fa23008d18070ULL}, // 1e135 * 2**-321
{0xdc21a1171d42645eULL, 0x898f8abc0b05e08cULL}, // 1e136 * 2**-324
{0x899504ae72497ebbULL, 0x95f9b6b586e3ac57ULL}, // 1e137 * 2**-328
{0xabfa45da0edbde6aULL, 0xfb782462e89c976dULL}, // 1e138 * 2**-331
{0xd6f8d7509292d604ULL, 0xba562d7ba2c3bd49ULL}, // 1e139 * 2**-334
{0x865b86925b9bc5c3ULL, 0xf475dc6d45ba564dULL}, // 1e140 * 2**-338
{0xa7f26836f282b733ULL, 0x719353889728ebe1ULL}, // 1e141 * 2**-341
{0xd1ef0244af236500ULL, 0xcdf8286abcf326d9ULL}, // 1e142 * 2**-344
{0x8335616aed761f20ULL, 0x80bb1942b617f847ULL}, // 1e143 * 2**-348
{0xa402b9c5a8d3a6e8ULL, 0xa0e9df93639df659ULL}, // 1e144 * 2**-351
{0xcd036837130890a2ULL, 0xc92457783c8573f0ULL}, // 1e145 * 2**-354
{0x802221226be55a65ULL, 0x3db6b6ab25d36876ULL}, // 1e146 * 2**-358
{0xa02aa96b06deb0feULL, 0x0d246455ef484293ULL}, // 1e147 * 2**-361
{0xc83553c5c8965d3eULL, 0x906d7d6b6b1a5338ULL}, // 1e148 * 2**-364
{0xfa42a8b73abbf48dULL, 0x3488dcc645e0e806ULL}, // 1e149 * 2**-367
{0x9c69a97284b578d8ULL, 0x00d589fbebac9104ULL}, // 1e150 * 2**-371
{0xc38413cf25e2d70eULL, 0x010aec7ae697b545ULL}, // 1e151 * 2**-374
{0xf46518c2ef5b8cd2ULL, 0x814da799a03da296ULL}, // 1e152 * 2**-377
{0x98bf2f79d5993803ULL, 0x10d088c00426859eULL}, // 1e153 * 2**-381
{0xbeeefb584aff8604ULL, 0x5504aaf005302705ULL}, // 1e154 * 2**-384
{0xeeaaba2e5dbf6785ULL, 0x6a45d5ac067c30c7ULL}, // 1e155 * 2**-387
{0x952ab45cfa97a0b3ULL, 0x226ba58b840d9e7cULL}, // 1e156 * 2**-391
{0xba756174393d88e0ULL, 0x6b068eee6511061bULL}, // 1e157 * 2**-394
{0xe912b9d1478ceb18ULL, 0x85c832a9fe5547a2ULL}, // 1e158 * 2**-397
{0x91abb422ccb812efULL, 0x539d1faa3ef54cc5ULL}, // 1e159 * 2**-401
{0xb616a12b7fe617abULL, 0xa8846794ceb29ff6ULL}, // 1e160 * 2**-404
{0xe39c49765fdf9d95ULL, 0x12a5817a025f47f4ULL}, // 1e161 * 2**-407
{0x8e41ade9fbebc27eULL, 0xeba770ec417b8cf8ULL}, // 1e162 * 2**-411
{0xb1d219647ae6b31dULL, 0xa6914d2751da7037ULL}, // 1e163 * 2**-414
{0xde469fbd99a05fe4ULL, 0x9035a07126510c44ULL}, // 1e164 * 2**-417
{0x8aec23d680043befULL, 0xda218446b7f2a7abULL}, // 1e165 * 2**-421
{0xada72ccc20054aeaULL, 0x50a9e55865ef5195ULL}, // 1e166 * 2**-424
{0xd910f7ff28069da5ULL, 0xe4d45eae7f6b25fbULL}, // 1e167 * 2**-427
{0x87aa9aff79042287ULL, 0x6f04bb2d0fa2f7bdULL}, // 1e168 * 2**-431
{0xa99541bf57452b29ULL, 0xcac5e9f8538bb5acULL}, // 1e169 * 2**-434
{0xd3fa922f2d1675f3ULL, 0xbd776476686ea317ULL}, // 1e170 * 2**-437
{0x847c9b5d7c2e09b8ULL, 0x966a9eca014525eeULL}, // 1e171 * 2**-441
{0xa59bc234db398c26ULL, 0xbc05467c81966f6aULL}, // 1e172 * 2**-444
{0xcf02b2c21207ef2fULL, 0x6b06981ba1fc0b44ULL}, // 1e173 * 2**-447
{0x8161afb94b44f57eULL, 0xe2e41f11453d870aULL}, // 1e174 * 2**-451
{0xa1ba1ba79e1632ddULL, 0x9b9d26d5968ce8cdULL}, // 1e175 * 2**-454
{0xca28a291859bbf94ULL, 0x8284708afc302301ULL}, // 1e176 * 2**-457
{0xfcb2cb35e702af79ULL, 0xa3258cadbb3c2bc1ULL}, // 1e177 * 2**-460
{0x9defbf01b061adacULL, 0xc5f777ec95059b58ULL}, // 1e178 * 2**-464
{0xc56baec21c7a1917ULL, 0xf77555e7ba47022fULL}, // 1e179 * 2**-467
{0xf6c69a72a3989f5cULL, 0x7552ab61a8d8c2baULL}, // 1e180 * 2**-470
{0x9a3c2087a63f639aULL, 0xc953ab1d098779b4ULL}, // 1e181 * 2**-474
{0xc0cb28a98fcf3c80ULL, 0x7ba895e44be95822ULL}, // 1e182 * 2**-477
{0xf0fdf2d3f3c30ba0ULL, 0x9a92bb5d5ee3ae2aULL}, // 1e183 * 2**-480
{0x969eb7c47859e744ULL, 0x609bb51a5b4e4cdaULL}, // 1e184 * 2**-484
{0xbc4665b596706115ULL, 0x78c2a260f221e011ULL}, // 1e185 * 2**-487
{0xeb57ff22fc0c795aULL, 0x56f34af92eaa5815ULL}, // 1e186 * 2**-490
{0x9316ff75dd87cbd9ULL, 0xf6580edbbd2a770dULL}, // 1e187 * 2**-494
{0xb7dcbf5354e9becfULL, 0xf3ee1292ac7514d0ULL}, // 1e188 * 2**-497
{0xe5d3ef282a242e82ULL, 0x70e9973757925a05ULL}, // 1e189 * 2**-500
{0x8fa475791a569d11ULL, 0x0691fe8296bb7843ULL}, // 1e190 * 2**-504
{0xb38d92d760ec4456ULL, 0xc8367e233c6a5653ULL}, // 1e191 * 2**-507
{0xe070f78d3927556bULL, 0x7a441dac0b84ebe8ULL}, // 1e192 * 2**-510
{0x8c469ab843b89563ULL, 0x6c6a928b87331371ULL}, // 1e193 * 2**-514
{0xaf58416654a6babcULL, 0xc785372e68ffd84dULL}, // 1e194 * 2**-517
{0xdb2e51bfe9d0696bULL, 0xf96684fa033fce61ULL}, // 1e195 * 2**-520
{0x88fcf317f22241e3ULL, 0xbbe0131c4207e0fcULL}, // 1e196 * 2**-524
{0xab3c2fddeeaad25bULL, 0x2ad817e35289d93cULL}, // 1e197 * 2**-527
{0xd60b3bd56a5586f2ULL, 0x758e1ddc272c4f8bULL}, // 1e198 * 2**-530
{0x85c7056562757457ULL, 0x0978d2a9987bb1b6ULL}, // 1e199 * 2**-534
{0xa738c6bebb12d16dULL, 0x4bd70753fe9a9e24ULL}, // 1e200 * 2**-537
{0xd106f86e69d785c8ULL, 0x1eccc928fe4145adULL}, // 1e201 * 2**-540
{0x82a45b450226b39dULL, 0x133ffdb99ee8cb8cULL}, // 1e202 * 2**-544
{0xa34d721642b06085ULL, 0xd80ffd2806a2fe6fULL}, // 1e203 * 2**-547
{0xcc20ce9bd35c78a6ULL, 0xce13fc72084bbe0bULL}, // 1e204 * 2**-550
{0xff290242c83396cfULL, 0x8198fb8e8a5ead8eULL}, // 1e205 * 2**-553
{0x9f79a169bd203e42ULL, 0xf0ff9d39167b2c79ULL}, // 1e206 * 2**-557
{0xc75809c42c684dd2ULL, 0xad3f84875c19f797ULL}, // 1e207 * 2**-560
{0xf92e0c3537826146ULL, 0x588f65a93320757dULL}, // 1e208 * 2**-563
{0x9bbcc7a142b17cccULL, 0x77599f89bff4496eULL}, // 1e209 * 2**-567
{0xc2abf989935ddbffULL, 0x9530076c2ff15bcaULL}, // 1e210 * 2**-570
{0xf356f7ebf83552ffULL, 0xfa7c09473bedb2bcULL}, // 1e211 * 2**-573
{0x98165af37b2153dfULL, 0x3c8d85cc85748fb5ULL}, // 1e212 * 2**-577
{0xbe1bf1b059e9a8d7ULL, 0x8bb0e73fa6d1b3a3ULL}, // 1e213 * 2**-580
{0xeda2ee1c7064130dULL, 0xee9d210f9086208cULL}, // 1e214 * 2**-583
{0x9485d4d1c63e8be8ULL, 0x752234a9ba53d457ULL}, // 1e215 * 2**-587
{0xb9a74a0637ce2ee2ULL, 0x926ac1d428e8c96dULL}, // 1e216 * 2**-590
{0xe8111c87c5c1ba9aULL, 0x370572493322fbc8ULL}, // 1e217 * 2**-593
{0x910ab1d4db9914a1ULL, 0xe263676dbff5dd5dULL}, // 1e218 * 2**-597
{0xb54d5e4a127f59c9ULL, 0xdafc41492ff354b4ULL}, // 1e219 * 2**-600
{0xe2a0b5dc971f303bULL, 0xd1bb519b7bf029e2ULL}, // 1e220 * 2**-603
{0x8da471a9de737e25ULL, 0xa31513012d761a2dULL}, // 1e221 * 2**-607
{0xb10d8e1456105daeULL, 0x8bda57c178d3a0b8ULL}, // 1e222 * 2**-610
{0xdd50f1996b947519ULL, 0x2ed0edb1d70888e6ULL}, // 1e223 * 2**-613
{0x8a5296ffe33cc930ULL, 0x7d42948f26655590ULL}, // 1e224 * 2**-617
{0xace73cbfdc0bfb7cULL, 0x9c9339b2effeaaf4ULL}, // 1e225 * 2**-620
{0xd8210befd30efa5bULL, 0xc3b8081fabfe55b1ULL}, // 1e226 * 2**-623
{0x8714a775e3e95c79ULL, 0x9a530513cb7ef58eULL}, // 1e227 * 2**-627
{0xa8d9d1535ce3b397ULL, 0x80e7c658be5eb2f2ULL}, // 1e228 * 2**-630
{0xd31045a8341ca07dULL, 0xe121b7eeedf65fafULL}, // 1e229 * 2**-633
{0x83ea2b892091e44eULL, 0x6cb512f554b9fbcdULL}, // 1e230 * 2**-637
{0xa4e4b66b68b65d61ULL, 0x07e257b2a9e87ac0ULL}, // 1e231 * 2**-640
{0xce1de40642e3f4baULL, 0xc9daed9f54629971ULL}, // 1e232 * 2**-643
{0x80d2ae83e9ce78f4ULL, 0x3e28d48394bd9fe6ULL}, // 1e233 * 2**-647
{0xa1075a24e4421731ULL, 0x4db309a479ed07e0ULL}, // 1e234 * 2**-650
{0xc94930ae1d529cfdULL, 0x211fcc0d986849d8ULL}, // 1e235 * 2**-653
{0xfb9b7cd9a4a7443dULL, 0xe967bf10fe825c4eULL}, // 1e236 * 2**-656
{0x9d412e0806e88aa6ULL, 0x71e0d76a9f1179b1ULL}, // 1e237 * 2**-660
{0xc491798a08a2ad4fULL, 0x0e590d4546d5d81dULL}, // 1e238 * 2**-663
{0xf5b5d7ec8acb58a3ULL, 0x51ef5096988b4e24ULL}, // 1e239 * 2**-666
{0x9991a6f3d6bf1766ULL, 0x5335925e1f5710d6ULL}, // 1e240 * 2**-670
{0xbff610b0cc6edd40ULL, 0xe802f6f5a72cd50cULL}, // 1e241 * 2**-673
{0xeff394dcff8a948fULL, 0x2203b4b310f80a4fULL}, // 1e242 * 2**-676
{0x95f83d0a1fb69cdaULL, 0xb54250efea9b0671ULL}, // 1e243 * 2**-680
{0xbb764c4ca7a44410ULL, 0x6292e52be541c80eULL}, // 1e244 * 2**-683
{0xea53df5fd18d5514ULL, 0x7b379e76de923a12ULL}, // 1e245 * 2**-686
{0x92746b9be2f8552dULL, 0xcd02c30a4b1b644bULL}, // 1e246 * 2**-690
{0xb7118682dbb66a78ULL, 0xc04373ccdde23d5eULL}, // 1e247 * 2**-693
{0xe4d5e82392a40516ULL, 0xf05450c0155accb5ULL}, // 1e248 * 2**-696
{0x8f05b1163ba6832eULL, 0xd634b2780d58bff1ULL}, // 1e249 * 2**-700
{0xb2c71d5bca9023f9ULL, 0x8bc1df1610aeefedULL}, // 1e250 * 2**-703
{0xdf78e4b2bd342cf7ULL, 0x6eb256db94daabe9ULL}, // 1e251 * 2**-706
{0x8bab8eefb6409c1bULL, 0xe52f76493d08ab71ULL}, // 1e252 * 2**-710
{0xae9672aba3d0c321ULL, 0x5e7b53db8c4ad64eULL}, // 1e253 * 2**-713
{0xda3c0f568cc4f3e9ULL, 0x361a28d26f5d8be1ULL}, // 1e254 * 2**-716
{0x8865899617fb1872ULL, 0x81d05983859a776dULL}, // 1e255 * 2**-720
{0xaa7eebfb9df9de8eULL, 0x22446fe467011548ULL}, // 1e256 * 2**-723
{0xd51ea6fa85785632ULL, 0xaad58bdd80c15a9aULL}, // 1e257 * 2**-726
{0x8533285c936b35dfULL, 0x2ac5776a7078d8a0ULL}, // 1e258 * 2**-730
{0xa67ff273b8460357ULL, 0x7576d5450c970ec8ULL}, // 1e259 * 2**-733
{0xd01fef10a657842dULL, 0xd2d48a964fbcd27aULL}, // 1e260 * 2**-736
{0x8213f56a67f6b29cULL, 0x63c4d69df1d6038cULL}, // 1e261 * 2**-740
{0xa298f2c501f45f43ULL, 0x7cb60c456e4b8470ULL}, // 1e262 * 2**-743
{0xcb3f2f7642717714ULL, 0xdbe38f56c9de658cULL}, // 1e263 * 2**-746
{0xfe0efb53d30dd4d8ULL, 0x12dc732c7c55feefULL}, // 1e264 * 2**-749
{0x9ec95d1463e8a507ULL, 0x0bc9c7fbcdb5bf55ULL}, // 1e265 * 2**-753
{0xc67bb4597ce2ce49ULL, 0x4ebc39fac1232f2aULL}, // 1e266 * 2**-756
{0xf81aa16fdc1b81dbULL, 0x226b4879716bfaf5ULL}, // 1e267 * 2**-759
{0x9b10a4e5e9913129ULL, 0x35830d4be6e37cd9ULL}, // 1e268 * 2**-763
{0xc1d4ce1f63f57d73ULL, 0x02e3d09ee09c5c0fULL}, // 1e269 * 2**-766
{0xf24a01a73cf2dcd0ULL, 0x439cc4c698c37313ULL}, // 1e270 * 2**-769
{0x976e41088617ca02ULL, 0x2a41fafc1f7a27ecULL}, // 1e271 * 2**-773
{0xbd49d14aa79dbc83ULL, 0xb4d279bb2758b1e7ULL}, // 1e272 * 2**-776
{0xec9c459d51852ba3ULL, 0x22071829f12ede61ULL}, // 1e273 * 2**-779
{0x93e1ab8252f33b46ULL, 0x35446f1a36bd4afcULL}, // 1e274 * 2**-783
{0xb8da1662e7b00a18ULL, 0xc2958ae0c46c9dbcULL}, // 1e275 * 2**-786
{0xe7109bfba19c0c9eULL, 0xf33aed98f587c52bULL}, // 1e276 * 2**-789
{0x906a617d450187e3ULL, 0xd804d47f9974db3aULL}, // 1e277 * 2**-793
{0xb484f9dc9641e9dbULL, 0x4e06099f7fd21209ULL}, // 1e278 * 2**-796
{0xe1a63853bbd26452ULL, 0xa1878c075fc6968cULL}, // 1e279 * 2**-799
{0x8d07e33455637eb3ULL, 0x24f4b7849bdc1e17ULL}, // 1e280 * 2**-803
{0xb049dc016abc5e60ULL, 0x6e31e565c2d3259dULL}, // 1e281 * 2**-806
{0xdc5c5301c56b75f8ULL, 0x89be5ebf3387ef04ULL}, // 1e282 * 2**-809
{0x89b9b3e11b6329bbULL, 0x5616fb378034f562ULL}, // 1e283 * 2**-813
{0xac2820d9623bf42aULL, 0xab9cba05604232bbULL}, // 1e284 * 2**-816
{0xd732290fbacaf134ULL, 0x5683e886b852bf6aULL}, // 1e285 * 2**-819
{0x867f59a9d4bed6c1ULL, 0xb61271543333b7a2ULL}, // 1e286 * 2**-823
{0xa81f301449ee8c71ULL, 0xa3970da94000a58bULL}, // 1e287 * 2**-826
{0xd226fc195c6a2f8dULL, 0x8c7cd1139000ceeeULL}, // 1e288 * 2**-829
{0x83585d8fd9c25db8ULL, 0x37ce02ac3a008154ULL}, // 1e289 * 2**-833
{0xa42e74f3d032f526ULL, 0x45c183574880a1aaULL}, // 1e290 * 2**-836
{0xcd3a1230c43fb270ULL, 0xd731e42d1aa0ca14ULL}, // 1e291 * 2**-839
{0x80444b5e7aa7cf86ULL, 0x867f2e9c30a47e4cULL}, // 1e292 * 2**-843
{0xa0555e361951c367ULL, 0x281efa433ccd9de0ULL}, // 1e293 * 2**-846
{0xc86ab5c39fa63441ULL, 0x7226b8d40c010558ULL}, // 1e294 * 2**-849
{0xfa856334878fc151ULL, 0x4eb067090f0146aeULL}, // 1e295 * 2**-852
{0x9c935e00d4b9d8d3ULL, 0x912e4065a960cc2cULL}, // 1e296 * 2**-856
{0xc3b8358109e84f08ULL, 0xf579d07f13b8ff37ULL}, // 1e297 * 2**-859
{0xf4a642e14c6262c9ULL, 0x32d8449ed8a73f05ULL}, // 1e298 * 2**-862
{0x98e7e9cccfbd7dbeULL, 0x7fc72ae347688763ULL}, // 1e299 * 2**-866
{0xbf21e44003acdd2dULL, 0x1fb8f59c1942a93cULL}, // 1e300 * 2**-869
{0xeeea5d5004981479ULL, 0xe7a733031f93538bULL}, // 1e301 * 2**-872
{0x95527a5202df0cccULL, 0xf0c87fe1f3bc1437ULL}, // 1e302 * 2**-876
{0xbaa718e68396cffeULL, 0x2cfa9fda70ab1945ULL}, // 1e303 * 2**-879
{0xe950df20247c83feULL, 0xb83947d10cd5df96ULL}, // 1e304 * 2**-882
{0x91d28b7416cdd27fULL, 0xb323cce2a805abbeULL}, // 1e305 * 2**-886
{0xb6472e511c81471eULL, 0x1fecc01b520716adULL}, // 1e306 * 2**-889
{0xe3d8f9e563a198e6ULL, 0xa7e7f0222688dc59ULL}, // 1e307 * 2**-892
{0x8e679c2f5e44ff90ULL, 0xa8f0f615581589b7ULL}, // 1e308 * 2**-896
{0xb201833b35d63f74ULL, 0xd32d339aae1aec25ULL}, // 1e309 * 2**-899
{0xde81e40a034bcf50ULL, 0x07f8808159a1a72eULL}, // 1e310 * 2**-902
{0x8b112e86420f6192ULL, 0x04fb5050d805087dULL}, // 1e311 * 2**-906
{0xadd57a27d29339f7ULL, 0x863a24650e064a9cULL}, // 1e312 * 2**-909
{0xd94ad8b1c7380875ULL, 0xe7c8ad7e5187dd43ULL}, // 1e313 * 2**-912
{0x87cec76f1c830549ULL, 0x70dd6c6ef2f4ea4aULL}, // 1e314 * 2**-916
{0xa9c2794ae3a3c69bULL, 0x4d14c78aafb224ddULL}, // 1e315 * 2**-919
{0xd433179d9c8cb842ULL, 0xa059f96d5b9eae14ULL}, // 1e316 * 2**-922
{0x849feec281d7f329ULL, 0x24383be459432cccULL}, // 1e317 * 2**-926
{0xa5c7ea73224deff4ULL, 0xed464add6f93f7ffULL}, // 1e318 * 2**-929
{0xcf39e50feae16bf0ULL, 0x2897dd94cb78f5ffULL}, // 1e319 * 2**-932
{0x81842f29f2cce376ULL, 0x195eea7cff2b99bfULL}, // 1e320 * 2**-936
{0xa1e53af46f801c54ULL, 0x9fb6a51c3ef6802fULL}, // 1e321 * 2**-939
{0xca5e89b18b602369ULL, 0xc7a44e634eb4203bULL}, // 1e322 * 2**-942
{0xfcf62c1dee382c43ULL, 0xb98d61fc2261284aULL}, // 1e323 * 2**-945
{0x9e19db92b4e31baaULL, 0x93f85d3d957cb92eULL}, // 1e324 * 2**-949
{0xc5a05277621be294ULL, 0x38f6748cfadbe77aULL}, // 1e325 * 2**-952
{0xf70867153aa2db39ULL, 0x473411b03992e158ULL}, // 1e326 * 2**-955
{0x9a65406d44a5c904ULL, 0x8c808b0e23fbccd7ULL}, // 1e327 * 2**-959
{0xc0fe908895cf3b45ULL, 0xafa0add1acfac00dULL}, // 1e328 * 2**-962
{0xf13e34aabb430a16ULL, 0x9b88d94618397010ULL}, // 1e329 * 2**-965
{0x96c6e0eab509e64eULL, 0xa13587cbcf23e60aULL}, // 1e330 * 2**-969
{0xbc789925624c5fe1ULL, 0x4982e9bec2ecdf8dULL}, // 1e331 * 2**-972
{0xeb96bf6ebadf77d9ULL, 0x1be3a42e73a81770ULL}, // 1e332 * 2**-975
{0x933e37a534cbaae8ULL, 0x716e469d08490ea6ULL}, // 1e333 * 2**-979
{0xb80dc58e81fe95a2ULL, 0x8dc9d8444a5b524fULL}, // 1e334 * 2**-982
{0xe61136f2227e3b0aULL, 0x313c4e555cf226e3ULL}, // 1e335 * 2**-985
{0x8fcac257558ee4e7ULL, 0xdec5b0f55a17584eULL}, // 1e336 * 2**-989
{0xb3bd72ed2af29e20ULL, 0x56771d32b09d2e62ULL}, // 1e337 * 2**-992
{0xe0accfa875af45a8ULL, 0x6c14e47f5cc479faULL}, // 1e338 * 2**-995
{0x8c6c01c9498d8b89ULL, 0x438d0ecf99facc3cULL}, // 1e339 * 2**-999
{0xaf87023b9bf0ee6bULL, 0x1470528380797f4bULL}, // 1e340 * 2**-1002
{0xdb68c2ca82ed2a06ULL, 0x598c67246097df1eULL}, // 1e341 * 2**-1005
{0x892179be91d43a44ULL, 0x77f7c076bc5eeb73ULL}, // 1e342 * 2**-1009
{0xab69d82e364948d5ULL, 0x95f5b0946b76a64fULL}, // 1e343 * 2**-1012
{0xd6444e39c3db9b0aULL, 0x7b731cb986544fe3ULL}, // 1e344 * 2**-1015
{0x85eab0e41a6940e6ULL, 0x0d27f1f3f3f4b1eeULL}, // 1e345 * 2**-1019
{0xa7655d1d21039120ULL, 0x9071ee70f0f1de6aULL}, // 1e346 * 2**-1022
{0xd13eb46469447568ULL, 0xb48e6a0d2d2e5604ULL}, // 1e347 * 2**-1025
};
} // namespace fpfmt