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add x64(Zen4) Montgomery 2^k-ary pow benchmark timings
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‎montgomery_arithmetic/include/hurchalla/montgomery_arithmetic/detail/experimental/montgomery_pow_2kary/timings_x64_Zen4/array/128_full_clang_asm_array.txt‎

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./testbench_2kary.sh clang++ O3 MontgomeryFull __uint128_t 191 8 40 -DTEST_ARRAY -DHURCHALLA_MONTGOMERY_POW_2KARY_USE_CSELECT_ON_BIT -DHURCHALLA_ALLOW_INLINE_ASM_ALL
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compilation finished, now executing:
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---Running Program---
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begin benchmarks - array pow
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(ignore)251318326240536503308785632794580174688
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OVERALL BEST:
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1.7875 4 01 x 04
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1.7936 4 01 x 05
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1.8060 4 01 x 07
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1.8102 4 00 x 05
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1.8266 4 01 x 03
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1.8278 3 01 x 04
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1.8386 3 01 x 05
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1.8487 4 00 x 08
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1.8515 4 01 x 06
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1.8612 4 00 x 03
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1.8623 4 01 x 08
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1.8630 4 01 x 12
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1.8806 4 00 x 10
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1.8818 4 01 x 10
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1.8856 3 01 x 07
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1.8934 3 01 x 03
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1.8949 4 00 x 07
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1.8973 4 00 x 06
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1.9009 4 00 x 12
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1.9088 5 01 x 04
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1.9099 5 01 x 05
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1.9177 5 01 x 07
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1.9260 3 00 x 05
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1.9267 3 00 x 03
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1.9290 4 00 x 04
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1.9303 3 01 x 06
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1.9327 3 00 x 08
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1.9362 3 01 x 08
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1.9364 5 01 x 03
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1.9377 3 01 x 10
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1.9414 3 00 x 10
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1.9430 3 01 x 12
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1.9434 5 00 x 05
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1.9436 5 00 x 03
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1.9516 5 00 x 08
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1.9566 3 00 t 03
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1.9615 5 01 x 08
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1.9652 3 00 x 06
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1.9663 3 00 x 07
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1.9678 5 01 x 12
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1.9687 3 01 t 03
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1.9713 5 01 x 06
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1.9837 5 01 x 10
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1.9862 5 00 x 10
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1.9868 4 00 t 04
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1.9920 5 00 x 07
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1.9955 3 00 x 12
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1.9963 5 00 x 06
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1.9974 5 00 x 12
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1.9981 4 00 t 05
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2.0086 3 00 x 04
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2.0145 4 01 t 07
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2.0193 4 01 t 04
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2.0302 4 00 t 08
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2.0304 3 00 t 04
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2.0341 4 00 t 06
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2.0341 5 00 x 04
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2.0396 4 00 t 07
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2.0469 4 00 t 10
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2.0483 4 01 t 06
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2.0500 4 01 t 05
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2.0514 4 01 t 12
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2.0597 4 01 t 08
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2.0621 3 00 t 08
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2.0648 4 00 t 12
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2.0703 3 01 t 07
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2.0742 4 00 x 02
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2.0756 4 01 x 02
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2.0762 4 01 t 10
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2.0771 4 00 t 03
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2.0818 3 00 t 06
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2.0863 3 00 t 07
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2.0892 2 00 x 03
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2.0898 5 00 t 04
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2.1057 3 01 t 05
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2.1083 5 01 t 04
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2.1090 3 01 x 02
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2.1135 2 00 t 04
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2.1136 5 00 t 05
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2.1191 3 01 t 12
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2.1196 4 01 t 02
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2.1196 3 01 t 04
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2.1207 3 01 t 06
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2.1212 3 01 t 08
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2.1218 3 00 t 05
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2.1230 5 01 t 07
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2.1236 4 00 t 02
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2.1249 3 00 t 12
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2.1274 2 01 x 05
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2.1291 5 01 t 05
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2.1293 5 00 t 06
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2.1299 3 00 t 10
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2.1393 5 00 t 08
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2.1401 5 01 t 06
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2.1406 5 00 t 10
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2.1434 2 01 x 08
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2.1505 5 00 t 07
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2.1517 3 01 t 10
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2.1540 5 01 t 08
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2.1578 5 00 t 12
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2.1588 5 01 t 12
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2.1609 2 01 x 07
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2.1687 2 01 x 03
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2.1711 5 01 t 10
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2.1718 2 00 t 03
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2.1782 2 01 x 06
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2.1795 5 00 x 02
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2.1846 4 01 t 03
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2.1907 3 00 x 02
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2.1933 2 00 x 04
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2.1952 5 00 t 03
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2.2005 2 01 t 08
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2.2015 2 00 x 07
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2.2037 2 00 x 12
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2.2056 2 01 t 07
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2.2088 2 01 x 12
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2.2113 5 01 x 02
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2.2137 2 01 x 04
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2.2147 2 01 x 10
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2.2162 3 01 t 02
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2.2188 2 00 x 08
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2.2229 2 00 t 05
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2.2293 2 00 t 06
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2.2340 2 01 t 05
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2.2350 2 01 t 04
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2.2376 2 00 t 07
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2.2418 2 00 x 06
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2.2435 3 00 t 02
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2.2446 5 01 t 02
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2.2479 2 00 t 08
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2.2581 2 00 t 12
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2.2630 2 00 x 05
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2.2710 5 00 t 02
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2.2754 5 01 t 03
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2.2765 2 00 x 10
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2.2891 2 01 t 10
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2.2956 2 01 t 03
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2.3004 2 01 t 06
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2.3005 2 00 t 10
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2.3027 2 01 t 12
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2.3212 2 01 x 02
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2.3749 2 00 x 02
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2.4311 2 01 t 02
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2.4712 2 00 t 02
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Timings By Test Type:
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0.5238 4 01 x 04 0.5238 4 01 x 04 0.3701 4 01 x 04 0.3699 4 01 x 04
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0.5257 4 01 x 05 0.5256 4 01 x 05 0.3712 4 01 x 05 0.3712 4 01 x 05
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0.5292 4 01 x 07 0.5291 4 01 x 07 0.3738 4 01 x 07 0.3738 4 01 x 07
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0.5304 4 00 x 05 0.5303 4 00 x 05 0.3743 3 01 x 04 0.3742 3 01 x 04
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0.5353 4 01 x 03 0.5353 4 01 x 03 0.3747 4 00 x 05 0.3748 4 00 x 05
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0.5398 3 01 x 04 0.5395 3 01 x 04 0.3765 3 01 x 05 0.3766 3 01 x 05
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0.5419 4 01 x 06 0.5419 4 00 x 08 0.3780 4 01 x 03 0.3780 4 01 x 03
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0.5420 4 00 x 08 0.5428 3 01 x 05 0.3824 4 01 x 06 0.3823 4 00 x 08
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0.5426 3 01 x 05 0.5436 4 01 x 06 0.3825 4 00 x 08 0.3838 4 01 x 06
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0.5458 4 00 x 03 0.5459 4 01 x 12 0.3847 4 00 x 03 0.3848 4 00 x 03
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0.5461 4 01 x 12 0.5459 4 00 x 03 0.3850 4 01 x 08 0.3851 4 01 x 08
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0.5462 4 01 x 08 0.5460 4 01 x 08 0.3855 4 01 x 12 0.3855 4 01 x 12
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0.5501 5 01 x 04 0.5508 5 01 x 04 0.3861 3 01 x 07 0.3861 3 01 x 07
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0.5507 5 01 x 05 0.5516 4 00 x 10 0.3874 3 01 x 03 0.3865 3 01 x 03
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0.5518 4 01 x 10 0.5516 4 01 x 10 0.3886 4 00 x 10 0.3884 4 00 x 10
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0.5520 4 00 x 10 0.5518 5 01 x 05 0.3891 4 01 x 10 0.3892 4 01 x 10
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0.5532 5 01 x 07 0.5532 5 01 x 07 0.3915 4 00 x 07 0.3919 4 00 x 07
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0.5554 4 00 x 07 0.5562 4 00 x 07 0.3921 4 00 x 06 0.3920 4 00 x 06
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0.5567 3 01 x 07 0.5565 4 00 x 06 0.3930 4 00 x 12 0.3930 4 00 x 12
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0.5567 4 00 x 06 0.5567 3 01 x 07 0.3937 3 00 x 03 0.3940 3 00 x 05
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0.5575 4 00 x 12 0.5574 4 00 x 12 0.3939 3 00 x 05 0.3941 3 00 x 03
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0.5588 5 01 x 03 0.5589 5 01 x 03 0.3952 3 01 x 06 0.3952 3 01 x 06
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0.5598 3 01 x 03 0.5597 3 01 x 03 0.3958 3 00 x 08 0.3958 3 00 x 08
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0.5608 5 00 x 03 0.5606 5 00 x 03 0.3965 3 01 x 08 0.3964 3 01 x 08
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0.5611 5 00 x 05 0.5611 5 00 x 05 0.3967 3 00 x 10 0.3971 3 01 x 10
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0.5636 5 00 x 08 0.5635 5 00 x 08 0.3970 3 01 x 10 0.3983 3 01 x 12
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0.5662 4 00 x 04 0.5663 4 00 x 04 0.3979 4 00 x 04 0.3986 4 00 x 04
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0.5665 5 01 x 08 0.5665 5 01 x 08 0.3984 3 01 x 12 0.3990 3 00 x 10
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0.5677 5 01 x 12 0.5678 5 01 x 12 0.3998 3 00 t 03 0.4003 3 00 t 03
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0.5690 3 00 x 05 0.5691 3 00 x 05 0.4021 3 00 x 06 0.4022 3 00 x 06
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0.5694 3 00 x 03 0.5695 3 00 x 03 0.4021 5 01 x 05 0.4025 3 00 x 07
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0.5697 5 01 x 06 0.5697 5 01 x 06 0.4025 3 01 t 03 0.4026 3 01 t 03
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0.5699 3 01 x 06 0.5700 3 01 x 06 0.4025 3 00 x 07 0.4042 5 01 x 04
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0.5706 3 00 x 08 0.5705 3 00 x 08 0.4037 5 01 x 04 0.4053 5 01 x 05
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0.5713 3 00 x 10 0.5716 3 01 x 08 0.4056 5 01 x 07 0.4057 5 01 x 07
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0.5717 3 01 x 08 0.5717 3 01 x 10 0.4090 3 00 x 12 0.4091 3 00 x 12
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0.5718 3 01 x 10 0.5729 5 01 x 10 0.4094 5 01 x 03 0.4093 5 01 x 03
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0.5729 5 01 x 10 0.5730 3 01 x 12 0.4097 4 00 t 04 0.4101 4 00 t 04
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0.5733 3 01 x 12 0.5736 5 00 x 10 0.4104 3 00 x 04 0.4106 5 00 x 05
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0.5754 5 00 x 10 0.5744 3 00 x 10 0.4106 5 00 x 05 0.4108 3 00 x 04
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0.5755 5 00 x 07 0.5755 5 00 x 07 0.4111 5 00 x 03 0.4111 5 00 x 03
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0.5770 5 00 x 12 0.5767 5 00 x 06 0.4122 5 00 x 08 0.4122 5 00 x 08
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0.5773 5 00 x 06 0.5769 5 00 x 12 0.4123 4 00 t 05 0.4123 4 00 t 05
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0.5785 3 00 t 03 0.5780 3 00 t 03 0.4142 5 01 x 08 0.4142 5 01 x 08
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0.5805 3 00 x 06 0.5805 3 00 x 06 0.4150 3 00 t 04 0.4150 3 00 t 04
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0.5806 3 00 x 07 0.5807 3 00 x 07 0.4158 4 01 t 07 0.4159 4 01 t 07
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0.5818 3 01 t 03 0.5818 3 01 t 03 0.4159 5 01 x 06 0.4160 5 01 x 06
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0.5835 4 00 t 04 0.5835 4 00 t 04 0.4163 5 01 x 12 0.4160 5 01 x 12
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0.5867 4 00 t 05 0.5868 4 00 t 05 0.4172 4 01 t 04 0.4164 4 01 t 04
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0.5884 5 00 x 04 0.5882 5 00 x 04 0.4184 5 00 x 10 0.4187 5 00 x 10
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0.5889 3 00 x 12 0.5886 3 00 x 12 0.4189 5 01 x 10 0.4190 5 01 x 10
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0.5915 4 01 t 07 0.5913 4 01 t 07 0.4190 4 00 t 08 0.4191 4 00 t 08
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0.5927 4 01 t 04 0.5931 4 01 t 04 0.4196 4 00 t 06 0.4197 4 00 t 06
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0.5940 3 00 x 04 0.5934 3 00 x 04 0.4205 5 00 x 07 0.4205 5 00 x 07
210+
0.5961 4 00 t 08 0.5961 4 00 t 08 0.4208 4 00 t 07 0.4208 4 00 t 07
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0.5975 4 00 t 06 0.5973 4 00 t 06 0.4213 5 00 x 06 0.4210 5 00 x 06
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0.5990 4 00 t 07 0.5990 4 00 t 07 0.4217 5 00 x 12 0.4217 5 00 x 12
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0.6002 3 00 t 04 0.6001 3 00 t 04 0.4218 3 00 t 08 0.4220 3 00 t 08
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0.6011 4 00 t 10 0.6011 4 00 t 10 0.4224 4 00 t 10 0.4224 4 00 t 10
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0.6017 4 01 t 06 0.6017 4 01 t 06 0.4224 4 01 t 06 0.4225 4 01 t 06
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0.6022 4 01 t 05 0.6022 4 01 t 12 0.4228 4 01 t 05 0.4228 4 01 t 05
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0.6022 4 01 t 12 0.6022 4 01 t 05 0.4235 4 01 t 12 0.4235 4 01 t 12
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0.6049 5 00 t 04 0.6048 5 00 t 04 0.4237 3 01 t 07 0.4237 3 01 t 07
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0.6050 4 01 t 08 0.6049 4 01 t 08 0.4244 2 00 x 03 0.4249 4 01 t 08
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0.6061 4 00 t 12 0.6062 4 00 t 12 0.4249 4 01 t 08 0.4249 2 00 x 03
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0.6092 4 01 x 02 0.6091 3 00 t 08 0.4257 3 00 t 06 0.4258 3 00 t 06
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0.6092 3 00 t 08 0.6092 4 01 x 02 0.4263 4 00 t 12 0.4262 4 00 t 12
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0.6096 4 00 x 02 0.6094 4 00 x 02 0.4268 3 00 t 07 0.4266 3 00 t 07
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0.6098 4 01 t 10 0.6096 5 01 t 04 0.4275 4 00 x 02 0.4276 4 00 x 02
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0.6105 4 00 t 03 0.6097 4 01 t 10 0.4281 4 00 t 03 0.4281 4 00 t 03
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0.6112 3 01 t 07 0.6104 4 00 t 03 0.4283 4 01 t 10 0.4283 4 01 t 10
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0.6116 5 01 t 04 0.6117 3 01 t 07 0.4286 4 01 x 02 0.4286 4 01 x 02
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0.6125 5 00 t 05 0.6121 5 00 t 05 0.4288 5 00 x 04 0.4288 5 00 x 04
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0.6146 5 01 t 07 0.6147 5 01 t 07 0.4296 2 00 t 04 0.4297 2 00 t 04
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0.6152 3 00 t 06 0.6151 3 00 t 06 0.4305 3 01 t 05 0.4302 3 01 x 02
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0.6161 3 00 t 07 0.6167 5 01 t 05 0.4306 3 01 x 02 0.4305 3 01 t 05
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0.6167 5 01 t 05 0.6167 3 00 t 07 0.4330 2 01 x 05 0.4330 3 01 t 04
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0.6168 5 00 t 06 0.6168 5 00 t 06 0.4331 3 01 t 04 0.4336 3 00 t 05
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0.6196 5 00 t 08 0.6197 5 00 t 08 0.4335 3 00 t 05 0.4338 3 01 t 08
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0.6199 5 00 t 10 0.6199 2 00 x 03 0.4336 3 01 t 06 0.4340 2 01 x 05
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0.6200 5 01 t 06 0.6200 5 00 t 10 0.4338 3 01 t 08 0.4341 3 01 t 12
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0.6200 2 00 x 03 0.6201 5 01 t 06 0.4342 3 01 t 12 0.4344 3 01 t 06
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0.6223 3 01 t 05 0.6224 3 01 t 05 0.4353 3 00 t 12 0.4352 3 00 t 12
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0.6230 4 01 t 02 0.6228 4 01 t 02 0.4364 2 01 x 08 0.4363 2 01 x 08
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0.6231 5 00 t 07 0.6230 5 00 t 07 0.4365 3 00 t 10 0.4366 3 00 t 10
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0.6241 3 01 x 02 0.6240 3 01 x 02 0.4369 4 01 t 02 0.4369 4 01 t 02
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0.6242 5 01 t 08 0.6241 5 01 t 08 0.4375 4 00 t 02 0.4373 4 00 t 02
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0.6245 4 00 t 02 0.6243 4 00 t 02 0.4399 2 01 x 07 0.4396 2 01 x 07
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0.6249 5 00 t 12 0.6251 5 00 t 12 0.4401 5 00 t 04 0.4401 5 00 t 04
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0.6253 5 01 t 12 0.6252 5 01 t 12 0.4402 3 01 t 10 0.4401 3 01 t 10
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0.6255 3 01 t 12 0.6253 3 01 t 12 0.4408 2 01 x 03 0.4409 2 01 x 03
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0.6264 3 01 t 06 0.6263 3 01 t 06 0.4415 2 00 t 03 0.4415 2 00 t 03
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0.6268 3 01 t 04 0.6266 3 01 t 08 0.4434 2 01 x 06 0.4434 2 01 x 06
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0.6269 3 00 t 10 0.6268 3 01 t 04 0.4437 5 01 t 04 0.4435 5 01 t 04
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0.6269 3 01 t 08 0.6270 2 00 t 04 0.4442 5 00 t 05 0.4448 5 00 t 05
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0.6271 2 00 t 04 0.6272 3 00 t 12 0.4459 2 00 x 04 0.4459 2 00 x 04
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0.6272 3 00 t 12 0.6273 3 00 t 05 0.4469 5 01 t 07 0.4468 5 01 t 07
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0.6273 3 00 t 05 0.6289 2 01 x 05 0.4470 3 00 x 02 0.4470 3 00 x 02
254+
0.6292 5 01 t 10 0.6290 5 01 t 10 0.4470 2 01 t 08 0.4473 2 01 t 08
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0.6316 2 01 x 05 0.6298 3 00 t 10 0.4477 5 00 t 06 0.4478 5 01 t 05
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0.6320 5 00 x 02 0.6322 5 00 x 02 0.4478 5 01 t 05 0.4480 5 00 t 06
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0.6353 2 01 x 08 0.6340 5 00 t 03 0.4482 2 00 x 07 0.4482 2 00 x 07
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0.6359 3 01 t 10 0.6354 3 01 t 10 0.4489 2 00 x 12 0.4489 2 00 x 12
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0.6372 5 00 t 03 0.6355 2 01 x 08 0.4490 2 01 t 07 0.4491 2 01 t 07
260+
0.6395 5 01 x 02 0.6402 5 01 x 02 0.4497 4 01 t 03 0.4497 4 01 t 03
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0.6410 2 01 x 07 0.6404 2 01 x 07 0.4499 2 01 x 12 0.4499 2 01 x 12
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0.6426 4 01 t 03 0.6427 4 01 t 03 0.4499 5 01 t 06 0.4500 5 00 t 08
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0.6437 2 01 x 03 0.6433 2 01 x 03 0.4500 5 00 t 08 0.4500 5 01 t 06
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0.6444 2 00 t 03 0.6444 2 00 t 03 0.4502 2 01 x 04 0.4502 2 01 x 04
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0.6459 2 01 x 06 0.6455 2 01 x 06 0.4503 5 00 t 10 0.4503 5 00 t 10
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0.6483 3 00 x 02 0.6484 3 00 x 02 0.4510 2 01 x 10 0.4511 2 01 x 10
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0.6508 2 00 x 04 0.6506 2 00 x 04 0.4516 2 00 x 08 0.4517 2 00 x 08
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0.6510 5 01 t 02 0.6508 2 01 t 08 0.4520 3 01 t 02 0.4519 3 01 t 02
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0.6525 2 00 x 07 0.6511 5 01 t 02 0.4520 2 00 t 05 0.4520 2 00 t 05
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0.6529 2 00 x 12 0.6526 2 00 x 07 0.4522 5 00 t 07 0.4522 5 00 t 07
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0.6537 2 01 t 07 0.6529 2 00 x 12 0.4529 5 01 t 08 0.4528 5 01 t 08
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0.6545 2 01 x 12 0.6538 2 01 t 07 0.4536 2 01 t 05 0.4538 5 00 t 12
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0.6554 2 01 t 08 0.6544 2 01 x 12 0.4536 2 00 t 06 0.4538 2 00 t 06
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0.6561 3 01 t 02 0.6562 3 01 t 02 0.4540 5 00 t 12 0.4541 2 01 t 05
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0.6563 2 01 x 10 0.6562 2 01 x 10 0.4542 5 01 t 12 0.4542 5 01 t 12
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0.6567 2 01 x 04 0.6565 2 01 x 04 0.4544 2 01 t 04 0.4545 2 01 t 04
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0.6578 2 00 x 08 0.6577 2 00 x 08 0.4552 2 00 t 07 0.4553 2 00 t 07
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0.6589 5 00 t 02 0.6590 5 00 t 02 0.4561 2 00 x 06 0.4565 2 00 x 06
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0.6596 2 00 t 05 0.6594 2 00 t 05 0.4565 5 01 t 10 0.4565 5 01 t 10
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0.6608 5 01 t 03 0.6604 5 01 t 03 0.4574 2 00 t 08 0.4574 2 00 t 08
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0.6608 2 00 t 06 0.6610 2 00 t 06 0.4576 3 00 t 02 0.4576 3 00 t 02
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0.6630 2 01 t 04 0.6615 2 01 t 05 0.4577 5 00 x 02 0.4577 5 00 x 02
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0.6635 2 00 t 07 0.6631 2 01 t 04 0.4597 2 00 t 12 0.4598 2 00 t 12
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0.6641 3 00 t 02 0.6637 2 00 t 07 0.4604 2 00 x 05 0.4604 2 00 x 05
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0.6649 2 01 t 05 0.6642 3 00 t 02 0.4618 5 00 t 03 0.4621 5 00 t 03
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0.6650 2 00 x 06 0.6642 2 00 x 06 0.4634 2 00 x 10 0.4634 2 00 x 10
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0.6666 2 00 t 08 0.6664 2 00 t 08 0.4656 5 01 x 02 0.4659 5 01 x 02
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0.6695 2 00 t 12 0.6691 2 00 t 12 0.4661 2 01 t 10 0.4661 2 01 t 10
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0.6712 2 00 x 05 0.6711 2 00 x 05 0.4661 2 01 t 03 0.4665 2 01 t 03
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0.6749 2 00 x 10 0.6748 2 00 x 10 0.4680 2 01 t 06 0.4680 2 01 t 06
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0.6784 2 01 t 10 0.6784 2 01 t 10 0.4683 2 00 t 10 0.4684 2 00 t 10
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0.6816 2 01 t 03 0.6813 2 01 t 03 0.4688 2 01 t 12 0.4690 2 01 t 12
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0.6819 2 00 t 10 0.6820 2 00 t 10 0.4711 5 01 t 02 0.4715 5 01 t 02
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0.6824 2 01 t 06 0.6820 2 01 t 06 0.4715 2 01 x 02 0.4715 2 01 x 02
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0.6827 2 01 t 12 0.6823 2 01 t 12 0.4765 5 00 t 02 0.4765 5 00 t 02
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0.6891 2 01 x 02 0.6891 2 01 x 02 0.4771 5 01 t 03 0.4771 5 01 t 03
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0.7053 2 00 x 02 0.7053 2 00 x 02 0.4821 2 00 x 02 0.4823 2 00 x 02
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0.7220 2 01 t 02 0.7219 2 01 t 02 0.4935 2 01 t 02 0.4936 2 01 t 02
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0.7343 2 00 t 02 0.7342 2 00 t 02 0.5013 2 00 t 02 0.5014 2 00 t 02
300+
---Benchmark Program Finished---

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