Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 202019
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
418 PM EDT WED AUG 20 2014


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID AUG 21/0000 UTC THRU AUG 24/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1

NORTHERN PLAINS---UPPER MS VALLEY--MID WEST INTO THE MID TO UPPER
OH VALLEY

MID TO UPPER LEVEL HEIGHT FALLS EJECTING EAST NORTHEASTWARD FROM
THE NORTHERN HIGH PLAINS TONIGHT INTO THE UPPER MS VALLEY DURING
THE DAY ON THURSDAY WILL SUPPORT INCREASING CONVECTIVE ACTIVITY
FROM THE NORTHERN PLAINS---SOUTHEASTWARD ALONG AND TO THE NORTH OF
A WARM FRONTAL BOUNDARY EXTENDING INTO THE UPPER MS VALLEY---MID
WEST INTO THE OH VALLEY REGION.  PW VALUES AHEAD OF THESE HEIGHT
FALLS AND IN THE VICINITY OF THIS FRONT WILL BE RISING TO MUCH
ABOVE NORMAL--- 2 TO 2.5+ STANDARD DEVIATIONS ABOVE THE MEAN AS
LOW LEVEL SOUTHERLY TO SOUTH WESTERLY FLOW STRENGTHENS INTO THIS
BOUNDARY.  OVERALL THERE IS FAIRLY GOOD AGREEMENT WITH THE QPF
AXES IN THE MODELS.  THE 1200 UTC AUG 20 ECMWF DID TREND SOUTHWARD
FROM ITS 0000 UTC RUN OVER THE UPPER MS VALLEY AND IS CLOSER NOW
TO THE FAVORED AXES OF THE HI RES ARW---NMM AND NSSL WRF WHICH
WERE USED PRIMARILY FOR QPF DETAILS.  HEAVY TO ISOLATED EXCESSIVE
PRECIPITATION TOTALS POSSIBLE IN A NARROW AXIS IN THE VICINITY OF
THIS WARM FRONT.  THE BIGGEST CONCERNS ARE FOR CHANGES IN THE
NARROW QPF AXIS WHICH IS POSSIBLE IF ANY ORGANIZED CONVECTION
PUSHES FARTHER TO THE SOUTH AND SOUTHEAST THAN EXPECTED AT THE
PRESENT TIME.  TRAINING OF CELLS ALONG AND NORTH OF THIS FRONT
POSSIBLE.


NORTHERN MID ATLANTIC INTO NORTHERN NY STATE


THE SURFACE FRONTAL BOUNDARY CURRENTLY MOVING THROUGH THE GREAT
LAKES WILL MOVE ONLY SLOWLY EASTWARD DAY 1 AS IT ENCOUNTERS
BLOCKING FLOW AHEAD OF IT ACROSS SOUTHEAST CANADA.  HIGH PW VALUES
AHEAD OF THIS SLOW MOVING FRONT WILL SUPPORT HEAVY PRECIPITATION
AMOUNTS FROM THE NORTHERN MID ATLANTIC INTO THE SOUTHERN TIER OF
NY AND NORTHERN NY.  THE SLOW MOVEMENT OF THE FRONT WILL ALSO POSE
RUNOFF ISSUES FOR PORTIONS OF WESTERN NY/SOUTHERN TIER OF NY INTO
NORTHERN NY WHERE THERE ARE RELATIVELY LOW FFG VALUES

NORTHERN ROCKIES INTO THE NORTHERN HIGH PLAINS

IN THE WAKE OF THE HEIGHT FALLS EJECTING EAST NORTHEASTWARD INTO
THE NORTHERN HIGH PLAINS THIS EVENING---BROAD CYCLONIC FLOW WITH
EMBEDDED SHORTWAVES WILL PERSIST ACROSS THE NORTHWESTERN PORTION
OF THE NATION.  THIS AND POST FRONTAL EAST NORTHEASTERLY FLOW WILL
SUPPORT ADDITIONAL SHOWER ACTIVITY IN A NARROW AXIS OF ABOVE
AVERAGE PW VALUES THAT WILL PERSIST OVER THE NORTHERN ROCKIES INTO
THE NORTHERN HIGH PLAINS. MODEL CONSENSUS IS FOR MODERATE TO
ISOLATED HEAVY TOTALS---WITH THE SREF MEAN USED PRIMARILY FOR QPF
DETAILS.

SOUTHEAST CA INTO THE SOUTHWEST

THE CLOSED LOW OFF THE SOUTHERN CALIFORNIA COAST IS FORECAST TO
MOVE VERY SLOWLY EASTWARD DAY 1 INTO SOUTHERN CALIFORNIA.  AT THE
MOMENT---MODEL CONSENSUS IS FOR GENERALLY LIGHT TO MODERATE
PRECIPITATION TOTALS FROM EASTERN CA INTO THE SOUTHWEST AS PW
VALUES ARE ONLY NEAR NORMAL.  DAY 1 QPF DID NOT DEVIATE FROM THIS
CONSENSUS GIVEN LOW CONFIDENCE IN WHERE LOCALLY HEAVIER TOTALS MAY
BE.

DAYS 2 AND 3...

...NORTHERN ROCKIES/NORTHERN HIGH PLAINS...

MOIST UPSLOPE FLOW ASSOCIATED WITH A COLD FRONTAL PASSAGE AND A
SLOW MOVING AMPLIFIED UPPER TROUGH TO THE WEST SUPPORT A VERY WET
PATTERN FOR PORTIONS OF THE NORTHERN ROCKIES INTO THE NORTHERN
HIGH PLAINS DAYS 2 AND 3.  MODEL AGREEMENT IS SLIGHTLY ABOVE
AVERAGE INCLUDING PW ANOMALIES APPROACHING 3 STANDARD DEVIATIONS
ABOVE NORMAL...500 MB HEIGHT ANOMALIES NEAR 2 STANDARD DEVIATIONS
BELOW NORMAL...ALONG WITH A SLOWLY EVOLVING PATTERN AND ALREADY
REDUCED FFG VALUES.  COMPRISED THE QPF WITH A SOLUTION SOMEWHERE
BETWEEN THE NAM/GFS/ECMWF/ENSEMBLE MEANS FOR DAY 2 AND THE SAME
FOR DAY 3 EXCLUDING THE NAM DUE TO ITS SUSPICIOUSLY DEEP LOW OVER
THE DAKOTAS.  THE FORECAST CONTINUITY IS ABOUT AVERAGE...WITH A
SIMILAR DEPICTION FOR THE ROCKIES...BUT WITH REDUCED AMOUNTS OVER
THE DAKOTAS ON DAY 2 DUE TO THE HIGHER SPREAD WITH MODEL QPF.
SLIGHT RISKS OF EXCESSIVE RAINFALL FOR BOTH DAYS WERE CONTINUED
WITH ONLY MINOR ADJUSTMENTS.

...THE SOUTHWEST INTO THE CENTRAL PLAINS ..
CONTINUED WITH A SOLUTION NEAR THE SLOW SIDE OF THE GUIDANCE WITH
THE SHORTWAVE TROUGH EJECTING FROM THE SOUTHWEST...WHICH FAVORS
THE NAM/ECMWF/GFS OVER THE CANADIAN/UKMET...
RESULTING IN 24-HOUR AMOUNTS GENERALLY LESS THAN 0.25 INCHES FOR
THE SOUTHWEST...BUT POTENTIALLY 2 TO 4 INCHES FOR PORTIONS OF THE
CENTRAL PLAINS ON DAY 3...ALTHOUGH TIMING THE TROUGH`S EXACT
ARRIVAL REMAIN TOO UNCERTAIN AT THIS TIME TO STRONGLY SUPPORT A
QPF NEAR THE HIGHER END OF THE SPECTRUM.

...OHIO VALLEY/APPALACHIANS/MID-ATLANTIC...

AREAS BETWEEN WISCONSIN AND WEST VIRGINIA INCLUDING MUCH OF THE
OHIO VALLEY WILL REMAIN UNDER FAVORABLE CONDITIONS FOR POSSIBLY
EXCEEDING FFG VALUES ON DAY 2 BEFORE THE RISK DIMINISHES TO
INCLUDE JUST WEST VIRGINIA ON DAY 3.  THE PROBABILITIES ARE LESS
THIS FORECAST CYCLE COMPARED TO THE PRIOR...DUE IN PART TO A
CONSIDERABLE SHIFT IN THE AMOUNTS AND AXIS THAT CORRESPOND TO A
WEAKER AND SLOWER WARM FRONTAL RETREAT AND LOW TRACK ON DAY 2
COMPARED TO THE PREVIOUS FORECAST PACKAGE.  PREFERRED THE MODEL
SOLUTIONS OF THE GFS AND GEFS MEAN THE MOST...FOLLOWED BY A
SMALLER PERCENTAGE OF THE 12Z ECMWF...WITH THE 00Z ECMWF
CONSIDERED TOO DEEP WITH THE LOW TRACKING ACROSS MINNESOTA THAT
HELPED THE WARM FRONT TO LIFT TOO FAR NORTHWARD.  WIND PROFILES
ARE EXPECTED TO RANGE FROM SLIGHTLY VEERING TO UNIDIRECTIONAL THUS
FAVORING TRAINING...ALTHOUGH INFLOW SPEEDS ARE ONLY MODEST AT BEST
SUGGESTING THAT SIGNIFICANT AND SUSTAINED MCS DEVELOPMENT IS STILL
TOO QUESTIONABLE TO CALL WITH HIGH CONFIDENCE.  FOR
NOW...CONTINUED WITH A SLIGHT RISK FOR EXCESSIVE RAINFALL THAT
EXTENDS BETWEEN WISCONSIN AND WEST VIRGINIA FOR DAY 2...AND FOR
PARTS OF WEST VIRGINIA FOR DAY 3.

...FLORIDA...

MAINLY SCATTERED CONVECTION WILL ACCOMPANY LOCAL SEE BREEZE
CIRCULATIONS BOTH DAYS...WITH A SLIGHT PREFERENCE FOR THE HIGHER
RESOLVING NAM OVER THE COARSER GFS AND USUALLY DRY ECMWF.

ORAVEC/JAMES

GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV


24HR QP VT 22/00Z
 0.01 538188 538177 535165 533154 530146 526135 530122 530115
      532109 531103 528098 521089 516079 511069 506062 504059
      500058 497056 492055 491053 493051 497049 505047 518039
      524036 527033 530029 542012 543006 544000 543995 539990
      533983 526977 521971 515967 496934 485918 478902 473892
      468887 453872 448867 443860 439851 433842 428831 425822
      423814 422805 425800 428796 431793 436792 444795 450802
      454809 460816 463819 467819 475813 481804 488794 490790
      491782 490774 488768 484759 475744 469738 467724 466718
      464715 455714 439713 417721 410725 407730 404734 402738
      399740 392746 390749 388754 384758 379759 373760 370763
      374767 378769 381772 380776 379789 361818 350832 345840
      341845 343847 347849 349854 347857 348862 351868 355868
      360868 364866 380878 387882 393890 398896 401898 403906
      407926 405931 405939 405945 409952 412954 413959 410963
      407966 399972 393977 388982 387986 389991 390997 393001
      395007 399011 401014 406014 413010 420006 424004 431004
      433004 435007 437009 442017 455027 458031 452032 446033
      441033 439039 441044 442055 444065 441067 437068 433070
      431070 430074 428080 424083 420095 417099 413100 407094
      405093 402097 399101 395103 389105 386107 384108 382106
      377105 372106 368107 362107 357107 352104 345098 339089
      336086 330085 327088 324093 316097 314095 313092 312088
      309080 306072 305068 306065 308058 310054 313047 318039
      324034 324031 327028 345018 351009 354004 351000 336008
      305019 296023 290027
 0.01 290027 286030 284032 281036 275035 271034 266033 262031
      257030 253028 248027 244026 239025 234024 229025 228026
      225050 229062 226068 223077 223083 225086 230091 241100
      247102 253104 262105 271104 279103 282102 285104 291107
      296112 300114 301118 302125 304128 305133 300139 293153
      293160 294165 298164 300162 302158 303154 306153 323159
      327160 329162 338164 347165 351163 353160 363154 369151
      373143 377134 379130 382129 387124 392121 397117 403118
      407119 409124 411133 409140 410148 411153 413156 415160
      414167 417174 421175 424174 429168 432159 433150 433140
      435137 437139 444145 447148 450149 454150 456148 462144
      466145 469148 476160 483178 484197 484200 487205 490206
      493209 497216 499224 507240 511237 511234 510230 509210
      511198 514195 518196 520195 524195 532198 535192 538188
 0.01 478037 477035 476034 474036 475038 477039 478037
 0.01 405072 403065 400064 398067 394069 391068 387068 384065
      381064 378066 376071 379080 380084 382086 387088 393082
      399078 403074 405072
 0.01 323816 322812 321810 319808 315808 308806 302805 289803
      276801 251793 246796 241801 238806 236813 236820 238828
      241829 245827 248821 269826 281829 287832 289833 292837
      293843 294853 297859 301865 310871 313867 315860 318845
      320828 323816
 0.25 513147 515136 515123 513114 510105 502093 495079 490074
      484069 478066 474066 471067 467074 464082 462093 459095
      455095 448094 441096 438098 436097 431092 429093 429097
      430101 428106 424107 421109 417116 420123 423126 425127
      430120 432118 436118 442122 449126 455128 464131 470133
      476139 480144 484152 488158 495162 501162 507159 511153
      513147
 0.25 513004 514999 513994 508991 501989 494987 490984 486977
      484968 481960 479952 477945 471929 468921 464915 456906
      448896 439886 435882 431876 424860 413832 410824 408815
      407804 404797 400793 394793 388795 382800 373812 366822
      365829 367836 374850 393868 399879 407892 413903 422917
      428928 430935 432945 433955 433965 425975 422982 423988
      429987 437983 441984 445986 448992 453005 457012 461015
      473023 479024 486022 492021 498021 503019 508015 511010
      513004
 0.25 470781 469765 466754 461745 455737 448731 445729 439729
      430729 426732 422736 416743 410751 404757 400760 398765
      398770 400775 403778 408780 411777 417775 428774 436776
      441779 443781 450787 457793 461795 465795 468792 470786
      470781
 0.25 300086 294069 290061 286058 283056 274054 265051 256048
      249044 240041 235041 232043 232047 235051 236057 238067
      242074 248080 255085 262089 271093 281094 287093 291092
      300086
 0.25 271812 269810 267808 265807 264807 263806 261806 260805
      258805 256804 255805 256807 256809 256810 258811 258812
      260813 262814 264814 266814 268814 269813 271812
 0.50 503137 502134 501133 499132 498131 496131 494131 493132
      493135 493137 494139 495140 495141 497141 498141 499141
      500140 502139 503137
 0.50 489096 489093 488089 486086 485084 483082 481080 478078
      476079 475084 474086 475089 476091 478094 481096 483098
      485098 487098 489096
 0.50 476994 474983 473965 467940 463929 456920 450913 443904
      431888 425880 420870 414845 410833 405822 401812 398807
      394804 387805 383808 378816 376827 376830 378831 382834
      386838 389843 392847 391851 392858 394863 400873 410891
      415901 421909 428916 435923 438928 439934 439942 440949
      442956 441962 441970 443975 449983 453994 457004 460009
      466010 470008 473003 476994
 0.50 461775 460766 458759 453747 450741 446737 441735 435735
      428738 424741 420747 417752 415757 415762 417765 422766
      429765 434767 438770 447778 451782 455784 460780 461775
 0.50 452115 452112 451109 449107 446105 442105 440105 438107
      439110 441113 443115 445116 448117 450116 452115
 0.50 290085 292082 291077 289071 286067 280064 270059 259054
      247052 243056 243060 244064 250073 257079 262084 267087
      278091 284089 288087 290085
 1.00 467974 467967 464959 461955 457952 452949 449949 448952
      448961 449969 451976 454981 458986 460988 464988 465986
      466981 467974
 1.00 452930 451928 450926 450925 449923 448922 447923 445922
      444923 445925 445927 445928 446930 447931 448932 450932
      452930 452930
 1.00 432902 426890 420879 415868 410854 408850 402846 401845
      398846 396848 396853 398860 400867 405878 412889 418898
      422902 429904 432902
 1.00 394826 394824 392823 392824 393826 394826 394826
 1.00 275077 274075 272073 270071 267069 266068 263066 260065
      257064 255067 256069 258072 260074 262076 264078 266080
      270080 273079 275077
 1.50 420893 420886 416882 412873 410866 406858 403850 402851
      402857 404866 407875 411881 415886 420893 420893

24HR QP VT 23/00Z
 0.01 538188 531170 519154 516149 515145 512135 510125 510112
      509106 507099 504093 503087 505073 510062 515051 522046
      525042 528040 531037 531034 527026 524020 521020 517015
      517006 518001 518994 515991 517984 522977 525970 528966
      528962 524959 525954 522941 515931 510921 508918 507922
      503932 494949 493945 494940 496934 494931 489923 489918
      492912 496903 498893 498886 496881 496868 495860 491861
      488859 483859 461856 458856 455855 450855 446853 443849
      437843 434839 433833 428810 426797 428793 431791 433792
      447795 455799 458803 462805 470810 480810 485802 485798
      482793 476785 471779 469774 467769 463755 459748 453742
      449738 447733 444730 442724 436715 432707 431704 428702
      425700 420701 408715 401723 397728 390729 385730 381729
      377731 374729 361717 351719 341722 337726 333728 332734
      331739 333742 334748 340754 344761 342768 350770 357773
      361774 366777 366781 364783 360787 354794 352797 350802
      351809 355811 358812 357814 355819 354823 356827 362834
      365837 370840 377844 383850 387857 395872 398876 400884
      399890 399898 397902 399906 403908 406914 400923 396931
      394935 396940 400948 402952 406953 415955 426959 428959
      432956 446945 462949 471952 478951 490950 493950 492954
      490960 485969 483973 479974 471980 462983 453983 445982
      435979 427974 421971 417970 414974 408979 403986 397995
      394999 390002 385008 378017 375019 373023 376031 381034
      383039 382042 380043 376041 371040 369039 364040 359040
      355040 352041 352038 353029 354024 354019 350016 346014
      343016 337020 336017 338015 340011 332010 329016 325018
      318025 309026 300025 294024 289026 286028 288031 290034
      289039 282043 275039
 0.01 275039 268035 258037 258049 254052 254054 254059 251058
      243054 239053 238054 235059 240068 245074 250081 257087
      263091 272097 281103 290117 298115 300113 303113 307115
      316119 323124 328126 331129 337135 341140 346141 356138
      359138 362134 365128 368124 368122 365119 356115 352112
      349108 347101 347094 367092 371089 375088 377101 378102
      380098 385092 389090 393093 396095 402096 393107 387114
      385118 388116 397114 401114 404116 412124 413135 414149
      416161 417166 420169 425168 426163 424153 424149 425142
      431144 433149 437158 443167 446170 448175 448182 448185
      450185 455186 457182 463177 471178 476182 476189 477196
      474200 467205 459207 451212 448215 448219 449225 453225
      460225 460220 465220 468219 474220 478219 485221 491223
      492227 496236 500241 503244 506250 509252 510247 510242
      508235 508227 513218 516213 518210 521210 526212 527206
      531192 536193 538188
 0.01 442242 443240 442239 441238 439238 438238 437239 435239
      434239 433240 431240 430241 429242 428243 429244 431244
      432245 433244 434243 436244 438244 438243 440242 442242
      442242
 0.01 328807 326805 320806 316807 313810 309813 302813 293811
      278805 270802 265801 265798 264796 258798 250802 245810
      244814 243819 244821 246821 249818 251814 253816 258821
      267826 275829 278830 282829 285828 288828 291831 296838
      299849 300861 301888 299937 299943 301945 305939 308916
      308902 309899 309893 309878 310867 312844 313840 314834
      314827 315822 328807
 0.25 522181 523176 521172 516166 512152 510144 505137 503129
      500121 496105 491093 490088 491082 492079 492073 492064
      489055 493038 496032 497027 498022 496013 496009 494005
      492002 489000 483999 476998 469999 455999 448001 444007
      444011 445014 446018 445022 446030 449037 457047 462053
      465060 464070 463073 463080 462086 458091 447095 439096
      431096 427099 424107 420112 420118 421122 420132 422136
      426132 430125 432122 436121 439122 440127 437134 435138
      435143 437150 441151 448151 451154 452157 454159 458158
      464156 469157 475162 480166 484171 485174 485181 485188
      483194 483199 482204 477207 477211 481212 488212 493209
      495203 498196 503191 509195 515192 522181
 0.25 483148 483147 482145 481145 480142 478141 478142 478144
      480146 481148 483149 483148
 0.25 475895 474892 473892 471891 470891 469893 470893 471895
      472896 473897 474897 475895 475895
 0.25 461898 460894 459891 455886 449878 440868 434859 428848
      423836 418823 414817 414812 415805 414798 411783 407776
      403772 399770 395766 395762 396759 400756 407754 410750
      412745 411740 409738 403739 398742 386744 381745 377750
      373751 372754 375760 377766 380771 384776 385783 385790
      383795 378800 375806 370817 369824 369829 374831 379830
      385831 388836 389841 389849 392855 394860 401869 415891
      420902 420907 419913 415919 412924 409930 409935 410939
      415941 421939 426937 430935 436931 442928 450923 461898
 0.25 421730 421728 419726 418724 417724 416722 415720 413720
      412721 410723 410726 410728 411729 412730 412732 413734
      415734 417733 418733 420732 421730
 0.25 429999 427994 422989 418989 413993 410998 408003 405010
      405014 407016 413014 418011 423008 427005 429999
 0.25 383081 383079 383077 383076 383074 382072 381071 380071
      378071 377071 376072 374073 374075 374078 374080 375082
      377082 379082 381081 383081 383081
 0.25 366751 365748 365746 364745 364744 362743 361743 359743
      357745 357746 356747 354748 354750 356752 357752 358752
      360753 362752 364752 365751 366751
 0.25 308087 309082 309079 307070 305062 304059 301056 294057
      290056 287054 282050 277049 274051 270056 264061 259064
      255065 253069 255077 257079 261082 273089 278092 282094
      287095 294094 300094 305091 308087
 0.25 311041 311040 311039 310038 308038 306038 304040 304042
      304044 305047 306047 307047 309045 311043 311042 311041
 0.25 270820 270818 268816 266813 266812 267810 267807 263807
      260809 258811 260815 262817 264819 266821 268821 270820
 0.50 513181 514176 514173 510172 507170 504170 501169 498170
      498175 499177 499181 503183 504184 507185 509185 512183
      513181
 0.50 506145 499134 497128 495122 494115 491108 480102 477097
      474094 468091 465097 463103 466108 469113 472118 474126
      478131 482133 487139 490142 495146 501148 504148 506145
 0.50 486025 486020 485014 482010 478008 470004 460006 457007
      454010 458018 457022 457028 462036 470041 472043 477046
      480044 482037 486027 486025
 0.50 456132 455130 454127 452124 451122 448121 446122 445126
      445129 446133 447135 450137 452136 454134 456132
 0.50 441139 442137 441136 439136 437138 437139 437141 436143
      437146 438144 439143 440141 441140 441139
 0.50 437112 437110 437109 435108 434107 433107 432106 431106
      430107 429108 428111 428112 427113 427115 427116 428118
      428120 429120 430118 431118 433116 434114 435114 436112
      437112
 0.50 443897 444889 442883 438875 429858 421841 416833 414830
      410828 405829 403832 401836 400842 401852 401859 403866
      407874 413881 422895 427904 431914 432919 434922 440916
      442911 442906 443897
 0.50 404797 402795 400795 399797 400798 402798 404797 404797
 0.50 391808 391801 386800 381801 378805 376808 375812 375818
      377822 381820 384817 388814 391810 391808
 0.50 300067 299064 296064 291062 287060 281059 272062 262065
      259068 257073 260077 264080 272085 277087 282089 287089
      291087 295084 296079 292076 295072 300067
 1.00 436887 435882 433877 429869 424860 420853 417849 414849
      410852 410859 409863 410870 415877 420885 423888 427889
      430891 435890 436887
 1.50 425876 423874 422874 423875 424876 425877 425876

24HR QP VT 24/00Z
 0.01 522157 521154 517151 510144 505132 503128 502123 503111
      504103 506098 509089 512080 519062 523050 526039 528031
      524030 522028 514026 511024 506023 500018 497018 499011
      508993 517976 523960 508953 499944 485954 472962 456970
      447973 445975 443973 441969 441956 444954 442949 442937
      440924 437914 433906 426891 424887 424879 425873 425866
      425855 423843 413825 407817 405815 409812 412808 415805
      418803 418799 418795 420793 425792 431787 438782 443776
      438767 436763 432763 429762 427757 425755 421756 418754
      411754 403754 384752 383747 379743 375741 369741 362741
      355739 349739 346738 335740 328746 325752 322758 324762
      325768 327773 331775 333776 334779 335783 341801 353813
      357817 357821 351828 348831 347835 349838 354838 356838
      357842 356846 356850 359852 366857 369860 373862 378869
      384877 389882 392886 393890 398906 401917 404928 406934
      406940 409952 409957 407960 402968 397975 395979 395985
      393996 395006 396011 397018 398025 398032 401049 405049
      409048 415045 418042 423042 427042 428045 428053 424057
      421055 409054 400053 395055 390054 386054 386056 387059
      386062 384065 382069 379071 374070 371071 372080 375084
      377084 384083 386076 388075 391077 395083 398086 399092
      398099 394100 384102 380104 378110 375121 373125 373127
      375128 381133 394128 396127 397130 399135 400139 400145
      401148 405151 409154 413153 420136 424128 428125 433126
      436128 435137 433142 432150 433153 435155 442161 444165
      446170 447175 450176 463176 469172 472170 475166 481159
      490163 497168 500170 503170 507163 509161 513161 517162
      519160 522157
 0.01 488210 488205 483202 479201 475203 471204 468207 467212
      470215 472216 477216 482216 485215 487211 488210
 0.01 457719 453715 450713 446712 441715 434720 430725 427731
      428736 430738 437741 444740 447739 450736 455730 456722
      457719
 0.01 359020 358009 356003 355004 349010 343015 339019 335021
      327024 313034 307033 303031 299033 297037 295040 293044
      290048 285048 278054 270057 254053 251057 251064 257069
      264074 266079 265084 267090 270093 272096 278097 281099
      287100 292101 296099 300097 302095 297088 297083 300085
      308089 312088 319089 322091 327093 333093 337092 343087
      342082 340076 336069 338065 342063 350062 354059 356055
      351048 346041 344040 344038 348036 353033 355029 359020
 0.01 298821 297817 293814 286810 278808 271805 261804 259807
      259813 264819 272823 280826 289827 293826 297824 298821
 0.01 253810 249809 243810 241813 239817 239821 238828 239833
      242836 244833 246829 247825 249820 251816 252812 253810
 0.25 509042 508035 504031 500029 496025 493022 488020 480017
      470020 459020 450022 443029 442033 442038 441047 440053
      442058 443065 444071 448080 449084 447089 443089 438087
      432087 423089 414091 409093 405097 403102 400106 391111
      390116 392119 402125 407127 409122 413118 417116 427116
      432114 438114 443115 446119 447124 448132 449143 450148
      451150 452158 454163 458165 462163 465160 471153 481148
      484147 490148 496148 499146 500142 499135 497121 496113
      497104 499087 502072 509042
 0.25 440019 439012 437007 436995 435982 436968 437956 436945
      435930 434926 431921 427920 424923 419929 414936 412940
      412947 413952 412959 410968 407973 405978 404989 407998
      410002 411008 412013 415017 417020 421022 430023 437021
      440019
 0.25 412784 411778 408775 402771 395767 391765 387765 379762
      373758 366755 358753 348753 345752 341753 340757 341761
      344764 347765 353765 358764 363764 367766 371774 372777
      370781 376794 372801 368809 367814 369818 370820 367824
      366829 368833 375835 378834 383835 388840 399852 404860
      405866 407870 411867 413862 413857 413854 410849 405843
      401836 401829 402825 402822 400818 398815 395811 396806
      402800 405792 412784
 0.25 334056 333053 331051 329051 325050 322050 320050 318052
      317056 319057 323057 327058 330058 332057 334056
 0.25 295071 295067 292063 288062 285064 280064 275064 275067
      276073 278075 281079 285081 288081 292077 294073 295071
 0.50 501054 503049 503042 500036 496032 491028 485025 480023
      474024 468026 456030 452033 450041 448050 449058 451065
      453073 455080 453087 452095 451103 452121 451131 452139
      454148 456153 460155 463155 468152 477145 483143 488142
      491142 493138 494128 493112 492100 493090 495080 497072
      501054
 0.50 441098 439097 438096 436095 435095 434095 433094 431094
      429095 428096 428099 429100 430101 431101 432103 434103
      435103 437103 438103 439101 440100 441098 441098
 0.50 433964 433953 433945 432934 428930 422933 419938 416946
      415954 415965 413973 410975 409979 408987 410994 413001
      415008 416010 420013 424013 429009 431998 431987 431978
      432968 433964
 0.50 417106 418103 416101 413098 408098 406102 404106 401109
      398111 394115 395117 397119 401120 406122 409119 412115
      414111 416108 417106
 0.50 399784 399777 396776 391771 383772 381774 380778 386781
      389789 389792 386795 381799 376804 372810 371814 373817
      379820 384825 388831 393836 395834 394830 390821 388813
      389808 390804 394798 396789 399784
 1.00 489132 487103 487087 489071 487063 485057 485052 486045
      486040 485037 482039 480041 478040 474038 469039 465041
      461044 459050 461057 463061 464066 464075 457101 458108
      461113 462116 461120 458126 456130 456135 459146 462148
      465147 468144 477139 485137 488134 489132
 1.00 428966 429954 428944 426942 423945 420952 419958 420963
      420975 418985 418991 419994 420999 423999 426992 426980
      428968 428966
 1.50 484128 483122 481117 479113 478107 475096 472088 469084
      467088 466095 466102 468112 465124 465132 467135 476134
      479133 482130 484128

$$




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