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Quantitative Precipitation Forecast (QPF) Discussion
 
(Latest Discussion - Issued 0944Z Aug 22, 2014)
 
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Abbreviations and acronyms used in this product
 
Geographic Boundaries -  Map 1: Color  Black/White       Map 2: Color  Black/White


QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
544 AM EDT FRI AUG 22 2014


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID AUG 22/1200 UTC THRU AUG 25/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


MADE ONLY VERY MINOR CHANGES TO THE PRELIM DAY 1 QPF..MOSTLY EARLY
ON AND BASED ON RECENT RADAR IMAGERY/TRENDS.

DAY 1...

...OH VALLEY INTO THE CENTRAL APPALACHIANS AND PORTIONS OF THE MID
ATLANTIC STATES...

THE ACTIVE CONVECTIVE PATTERN LIKELY TO CONTINUE FOR THE BETTER
PART OF TODAY AND THIS EVENING FROM PARTS OF THE OH VALLEY INTO
THE CENTRAL APPALACHIANS AND MID ATLANTIC STATES..VICINITY OF THE
INITIAL QUASI-STATIONARY FRONTAL BOUNDARY THAT WILL FINALLY GET
PUSHED SOUTHWARD THRU THE UPPER OH VALLEY/CENTRAL APPALACHIANS/MID
ATLANTIC REGION LATER IN THE PERIOD AS THE MID/UPPER FLOW BECOMES
MORE NORTH-NORTHWESTERLY.  A RATHER BROAD BUT MODERATELY STRONG
WEST-SOUTHWESTERLY TO WESTERLY LOW LEVEL JET WILL PERSIST INTO
THIS BOUNDARY INTO THE LATER FRIDAY AFTERNOON/EARLY EVENING
HOURS..WITH PWS FORECAST TO INCREASE/POOL TO NEAR OR ABOVE 2.25
INCHES VICINITY OF THIS BOUNDARY.  THIS..COMBINED WITH THE
LIKELIHOOD OF WEAK H5 S/WV ENERGY MOVING THRU THE REGION ON THE
SOUTHERN EDGE OF THE WESTERLIES/TOP SIDE OF THE H5 RIDGE..WILL
SUPPORT THE ORGANIZED CONVECTIVE DEVELOPMENT..WITH CELLS GENERALLY
MOVING EAST-SOUTHEASTWARD AND THE POTENTIAL EXISTING FOR AT LEAST
SOME TEMPORARY TRAINING OF CELLS.  EXPECT AT LEAST SOME 1-2 INCH
AREAL AVERAGE RAINS FROM PARTS OF THE OH VALLEY INTO THE CENTRAL
APPALACHIANS WITH ISOLATED GREATER THAN 3 INCH TOTALS
POSSIBLE..WITH AMOUNTS TAPERING OFF A BIT EAST OF THE MOUNTAINS
INTO PORTIONS OF VA AND NORTHEASTERN NC.


...PORTIONS OF THE NORTHERN/CENTRAL PLAINS INTO THE MIDWEST...

THIS WILL BE ANOTHER INCREASINGLY WET PORTION OF THE NATION
BEGINNING LATER FRIDAY AFTERNOON AND NIGHT..AS THE H5 TROF DIGS
INTO THE WESTERN STATES..ALLLOWING A SOUTHERLY LOW LEVEL JET TO
STRENGTHEN AND OVERRUN A SURFACE BOUNDARY IN PLACE FROM PARTS OF
IA WESTWARD INTO NE AND SD.  EVEN FARTHER NORTH OF THE SURFACE
BOUNDARY..A STRENGHENING EAST TO EAST-SOUTHEASTERLY AND VERY MOIST
LOW LEVEL JET WILL LEAD TO INCREASINGLY FAVORABLE UPSLOPE
CONDITIONS IN THE HIGH PLAINS..SUPPORTING ENHANCED RAINS OVER
ESPECIALLY WESTERN NE AND WESTERN SD.  A MAJORITY OF THE MODEL
QPFS WERE QUITE WET HERE..AND FOLLOWED THEM CLOSELY..WITH AT LEAST
SOME 1-2 INCH AREAL AVERAGE RAINS EXPECTED AND SOME ISOLATED
HEAVIER TOTALS POSSIBLE.


...NORTHERN/CENTRAL GREAT BASIN INTO THE NORTHERN ROCKIES..AND
ESPECIALLY MT...

A VERY WET PATTERN WILL BE DEVELOPING HERE ALSO..AND AGAIN DURING
THE LATTER PART OF THIS PERIOD..AS A VERY COOL SEASON-LIKE H5 TROF
DIGS INTO THE AREA.  THIS MID TO UPPER TROF AMPLIFICATION AND A
MARKED STRENGTHENING OF THE VERY MOIST EAST TO EAST-SOUTHEASTERLY
LOW LEVEL JET INTO ESPECIALLY MT WILL LEAD TO THE DEVELOPMENT OF
WIDESPREAD RAINS/CONVECTION THRU MUCH OF MT..WITH SOME HEAVY TO
VERY HEAVY AMOUNTS LIKELY IN THE UPSLOPE AREAS BACK IN CENTRAL MT.
 MODEL QPFS HERE ARE ALSO IN VERY GOOD AGREEMENT WITH HEAVY
TOTALS..AND STAYED CLOSE TO THEIR SOLUTIONS..WITH AT LEAST SOME
1-2+ INCH AMOUNTS LIKELY IN CENTRAL MT AND ISOLATED HEAVIER TOTALS
POSSIBLE..BUT WITH WIDESPREAD MODERATE TO LOCALLY HEAVY RAINS THRU
MUCH OF MT.


...NM...

TO THE SOUTH OF THE AMPLIFYING UPPER TROF OVER THE NORTHWEST..THE
CLOSED LOW INITIALLY OVER SOUTHWESTERN AZ WILL BE KICKED THROUGH
THE SOUTHWEST AND INTO THE SOUTHERN ROCKIES/SOUTHERN HIGH PLAINS
BY THE END OF THE PERIOD.  SHOWERS ARE EXPECTED TO CONTINUE AHEAD
OF THIS OPENING UP SYSTEM MAINLY FROM EXTREME EASTERN AZ THRU
NM..WITH MOSTLY LIGHT TO MODERATE AMOUNTS EXPECTED IN A SEASONALLY
MOIST AIRMASS.



DAYS 2 AND 3...

...NRN-CNTRL ROCKIES INTO THE NORTHERN PLAINS/UPPER MIDWEST...

AN UNUSUALLY DEEP AND SLOW MOVING UPPER TROUGH MODULATED SLIGHTLY
BY A SHORTWAVE TROUGH OVER THE SOUTHWEST WILL RESULT IN 2 AXES OF
HEAVY RAINFALL DAYS 2 AND 3...WITH ONE AXIS ACROSS CENTRAL AND
EASTERN MONTANA WHERE UPSLOPE FLOW BENEATH THE UPPER TROUGH WILL
SUPPORT HEAVIER AMOUNTS...AND ANOTHER AXIS ACROSS SOUTH DAKOTA
INTO MINNESOTA IN ASSOCIATION WITH THE TROUGH APPROACHING FROM THE
SOUTHWEST.  MODEL GUIDANCE CONTINUES TO SHOW MODEST SPREAD WITH
THE QPF DETAILS...WITH THE NAM/GFS FARTHER WEST ACROSS MONTANA
COMPARED TO THE EASTERN ECWMF/UKMET/CANADIAN.  THE MODEL CONSENSUS
IS SOMEWHERE BETWEEN THESE DIFFERING CAMPS WITH REASON TO SUPPORT
BOTH APPROACHES.  THUS...NUDGED THE AMOUNTS DOWNWARD AND SHIFTED
THEM SLIGHTLY EAST TOWARD THE MODEL CONSENSUS WHICH BALANCES
CONTINUITY WITH INCORPORATING THE LATEST GUIDANCE.  THIS APPROACH
CONTINUES THE RISK AREA FOR EXCESSIVE RAINFALL FOR
MONTANA...ALTHOUGH THE EVENT SHOWS CHARACTERISTICS MORE TYPICAL OF
THE FALL AND/OR WINTER WHERE LONG DURATION PRECIPITATION MAY
PRODUCE RIVER FLOODING VERSUS FLASH FLOODING.  FOR THE SECOND AXIS
ACROSS SOUTH DAKOTA AND MINNESOTA...USED A SOLUTION SOMEWHERE
BETWEEN THE LAST 2 RUNS OF THE ECMWF ALONG WITH PORTIONS OF THE
GFS/UKMET...WITH LITTLE OR NO NAM DUE TO ITS UNUSUALLY STRONG AND
NORTHWARD SURFACE LOW TRACK.  A SLIGHT RISK OF EXCESSIVE RAINFALL
WAS CONTINUED FOR THESE AREAS AS WELL.

...OHIO VALLEY INTO THE APPALACHIANS AND SOUTHEAST...

SCATTERED WEAKLY-FORCED CONVECTION IS LIKELY TO CONTINUE ALONG THE
EASTERN PERIPHERY OF THE UPPER HIGH OVER THE LOWER MISSISSIPPI
VALLEY AND WITHIN CLOSE PROXIMITY TO THE COLD FRONT MOVING IN FROM
THE EAST.  USED A COMBINATION OF SEVERAL SOLUTIONS INCLUDING THE
NAM/GFS/ECMWF/SREF MEAN TO DERIVE THE FINAL TOTALS THAT SHIFT
STEADILY WESTWARD WITH TIME...ALBEIT GENERALLY LIGHT DUE TO THE
WEAKENING NATURE OF THE FRONT AS IT DRIFTS BENEATH THE UPPER HIGH.

JAMES

GRAPHICS AVAILABLE ON THE WEB AT www.wpc.ncep.noaa.gov/qpf/qpf2.shtml

24HR QP VT 23/12Z
 0.01 536182 535171 531162 525154 520145 514134 512127 509121
      507108 505096 504083 503076 501070 496051 492040 491035
      488032 483027 481023 480017 480002 478993 476986 473983
      471979 466979 456981 454981 453978 451971 447961 440953
      434945 432940 432934 431920 430916 430910 426886 424860
      424853 429851 437852 443853 446856 452862 454868 450872
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      479930 482937 487945 490947 495948 504945 519950 523949
      527947 533937 533930 533920 531912 528907 523905 519905
      508905 500905 497903 495900 495895 495888 495881 492876
      486871 478865 471861 467856 465851 462847 457841 452838
      448837 440834 435831 431830 427831 425833 421834 418824
      417819 417815 419811 424803 425798 424793 422791 420789
      421787 423782 425779 428776 431771 437765 447752 450743
      452733 450718 449711 446709 436716 427719 420723 416726
      407731 402737 400741 396742 389747 381745 372747 368748
      365746 351737 347736 344738 340742 340745 339750 341755
      343761 345765 352774 355787 360798 361805 361814 359826
      360832 362836 368843 374848 383861 387868 391876 395897
      401921 402928 402935 402943 401948 400957 398963 394975
      391985 389990 385994 374003 359013 346019 342020 338019
      331023 314030 294038 285041 275044 271045 265045 255044
      247044 239046 235049 234054 234060 235065 240071 246077
      251083 257089 274098 282099 287099 295099 301100 306102
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      344104 349104 359105 364106 367103 372100 374097 377097
      377100 378106 377119
 0.01 377119 377121 380124 381126 380128 379132 379141 381147
      381149 384149 392148 403151 406150 409152 412160 415167
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      464179 468180 477183 478187 478192 473196 465208 461212
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      504213 510209 515204 523195 525190 530187 536182
 0.01 313888 313883 311880 310869 306852 305842 303838 303832
      302823 297817 293813 286808 281806 274804 268802 264800
      266797 268791 266789 263790 258795 253802 250807 243810
      240816 238825 239834 242836 244834 246827 248823 249824
      251831 255836 259843 261846 266846 273843 277840 284836
      288834 291836 294842 298849 302867 303876 303881 305884
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 0.25 505143 504134 502124 497105 491081 490077 489071 488058
      487047 484040 481034 477029 466018 462012 460007 461001
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      411883 409881 408875 407865 405853 403843 399833 397822
      395815 395807 397798 398793 397787 393781 388777 384772
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      384849 389856 392864 397880 401899 404908 405917 408941
      413965 414972 413975 411977 405982 397995 390010 384022
      382030 376036 371040 373044 369047 366048 358050 351049
      346049 338051 329054 323052 323048 326043 328040 326039
      320041 317044 313045 300051 286056 279058 272060 263060
      255057 246056 244057 244060 247064 260072 266076 273081
      279084 287085 295085 302082 312077 317076 322076 330077
      341078 349079 360078 363076 365073 372067 377059 382056
      390055 396052 401049 407044 416041 431040 440041 448043
      450047 450053 447061 441069 437079 423088 416092 410094
      405099 400106 396112 392116 390120 393124 397124 401126
      405125 407124 410124 416130 417140 419142 422139 430134
      433136 436140 439149 444155 450158 465160 472160 476154
      478152 482152 489151 495152 501150 504147 505143
 0.25 430745 429744 427743 425743 423743 422744 421747 422748
      424748 426749 427748 429748 430747 430745 430745
 0.25 376080 377078 377076 376074 374073 373075 374077 374078
      375080 375081 376080
 0.25 263813 262811 261809 260808 259807 258807 256807 255810
      255812 256814 257815 258815 259816 260815 261815 262814
      263813
 0.50 498144 498139 498134 496126 494117 492109 489095 485080
      484074 483064 483055 479047 477040 475037 473035 467034
      463030 458017 455009 456998 454994 450994 444995 440994
      437990 432977 428971 423968 421970 420974 419983 417990
      413992 408994 404999 400005 397012 396022 396031 397037
      403039 416036 425037 431036 439036 445037 456042 458049
      458054 456060 455066 454070 449073 444077 444081 446082
      449085 447090 436095 432100 428108 418113 416114 416118
      420122 427112 436123 440121 443119 445121 447127 446138
      450151 456152 464152 468148 472143 483145 493146 498144
 0.50 419938 420928 420919 417913 416905 413899 411898 410900
      407905 408915 409922 410931 412936 416942 419938
 0.50 407114 408112 407110 405112 404114 403115 403116 401117
      400118 399119 398120 399120 401120 402119 404118 404117
      406116 407114
 0.50 402864 402857 400850 397839 394828 390817 389812 389806
      391795 391791 389787 387787 383785 381781 375773 369767
      365766 361766 359767 360774 361780 366789 371797 372802
      372808 370819 370824 373828 378834 384843 390851 394861
      396865 400868 402864
 0.50 368063 368061 366060 364059 363059 361059 359060 357061
      355062 354064 355065 357066 359066 360066 362065 363065
      364065 366064 368064 368063
 0.50 350066 349063 346061 341059 334060 328060 321060 317058
      319064 323068 329069 337071 344071 349068 350066
 0.50 314064 313060 308058 304060 301063 297064 292064 282064
      273065 268066 266070 272076 280078 290077 298074 304070
      310069 313066 314064
 1.00 493140 488127 485121 484115 484104 484095 482089 479084
      474080 468079 463081 460086 457103 459111 461116 463123
      466127 476134 481138 487140 491141 493140
 1.00 449029 450027 450024 447021 443017 439010 437004 433989
      429983 426981 424985 425996 425001 424005 417006 411008
      406012 402018 401021 401027 405032 412031 419031 428031
      435031 442031 449029 449029
 1.00 392844 390835 388827 385818 383809 382803 379802 375808
      375817 378823 382830 386836 390843 392844
 1.50 486136 485130 483126 479117 480102 480096 477092 471087
      467088 464092 462104 463109 466114 467119 470123 476128
      481135 486136
 1.50 444024 442021 439017 437014 434009 433004 431999 430002
      429004 429011 430018 430023 433026 438026 442025 444024
 1.50 419022 419020 418017 417015 416014 415014 413014 412015
      411015 410017 409017 408019 407020 406021 405023 405024
      407025 409025 411025 412025 414025 416024 418023 419022
 1.50 384825 383823 383822 382820 381819 380821 381823 381824
      382825 383827 384825
 2.00 477107 477104 477102 477100 476099 475098 474097 472096
      470095 469095 469097 468098 468100 467102 468105 469108
      469109 471110 472108 473108 475108 476108 477107
 2.00 473118 472116 472115 471113 470115 470117 472118 473118 

24HR QP VT 24/12Z
 0.01 528172 527166 526161 524156 520154 512149 509144 509138
      507132 505127 500118 500113 501111 504105 509092 517070
      520061 522049 522040 523035 519028 515022 513019 513014
      515009 517981 519974 519966 518961 517953 515935 514926
      512919 511914 508910 502901 500898 495898 487900 478901
      473905 465910 460919 455927 453930 450928 431897 425886
      421877 418872 414867 408859 402851 399846 399839 402839
      407841 413846 427853 431853 434855 441858 443856 447855
      453857 457850 455844 451841 447838 441839 437841 432840
      427840 422837 419834 416828 414824 413817 413813 416811
      425796 434785 431783 428780 420777 415777 411776 406776
      402774 399771 397767 395762 395757 396751 395744 396740
      393734 387723 385722 383722 377723 370724 365726 362729
      359729 358725 351707 348706 343707 338708 336705 332704
      331698 330695 327698 324701 323705 321715 319724 315733
      310745 307750 306755 301762 295770 289785 289791 291795
      300797 308799 312800 314805 319811 325818 336830 338834
      342836 350840 355843 354846 352848 349852 347857 350861
      351864 350866 350874 353875 357874 361870 365868 368870
      373877 377884 378891 379893 382895 387895 391883 401898
      412912 415917 419920 423925 426932 427937 428946 429950
      429958 428965 426967 424970 420972 401977 383981 369987
      355996 340006 332012 324021 321024 325027 326029 324031
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      265057 260063 257063 252061 246056 240048 237043 235037
      233037 231041 228045 226050 226056 226060 230080 237092
      241094 244093 255092 263097 270100 278097 284093
 0.01 284093 304076 310066 313059 318054 324042 328042 331041
      337038 342035 346031 354022 354017 362016 369012 373008
      378004 380002 383002 387002 389000 393000 397002 401005
      402008 401011 400013 397021 396032 395043 395048 392050
      385058 381063 378069 374075 376082 379096 379101 380100
      381103 380105 378113 377120 381135 384140 389142 392141
      394139 398132 403131 409129 416126 419124 421121 423118
      425120 426127 428135 430142 435155 445165 450171 452177
      456179 457176 460175 467163 473159 479155 483153 489152
      495152 497154 497157 487164 485167 485172 491178 496181
      499181 505178 511180 514180 516178 518175 521177 525175
      528172
 0.01 473693 472685 470680 464678 460679 458682 455683 453685
      449687 445690 443694 440697 437702 431708 423711 423716
      426715 429717 426727 418733 424734 429733 435733 437737
      440739 444740 448745 452750 453747 455741 457729 456725
      458718 461711 464706 468702 471696 473693
 0.01 309831 309821 306814 306810 308808 304805 297803 294802
      290804 290808 287809 280812 274815 270813 270808 260810
      257812 258816 258818 255817 251817 251821 252825 254827
      259839 263838 267833 273830 270824 275825 280828 286831
      290837 294844 296851 298857 300862 301868 303874 303884
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 0.25 512048 512043 510040 507036 504034 502030 500022 499013
      501006 505993 506986 506975 505953 502938 500932 497926
      489919 483915 476913 471915 467918 460928 457932 452937
      441944 438947 435953 431966 429983 427992 425000 420010
      418016 419018 421017 425016 428016 430018 430022 426029
      425033 425038 429042 434045 437049 439057 439064 437071
      435074 434081 433090 433097 435103 440113 443119 445126
      446136 446144 445150 447154 451159 456158 465153 475144
      480141 484140 490139 493135 492127 491119 490115 490108
      493101 504078 509062 512048
 0.25 420076 421072 420069 419062 417054 415049 410047 406049
      401053 398057 394063 391067 383075 381078 382083 386088
      392096 393100 397100 400095 403088 409087 414085 418081
      420076
 0.25 421895 418888 414881 409875 405871 400866 394862 392862
      391864 393868 397876 400882 404888 408894 415896 420897
      421895
 0.25 409115 407110 403109 400109 394109 391112 388114 386118
      388121 392120 397120 401119 404118 408116 409115
 0.25 367762 366760 364758 360756 359756 357757 354759 353762
      351764 351769 353772 355773 357772 360770 363769 365767
      366764 367762
 0.25 365814 361814 357815 352817 349820 347822 345827 347831
      351832 356830 359828 361823 363820 364815 365814
 0.25 343759 344756 343752 341747 338738 335725 334721 332717
      327723 323731 319739 316748 315753 318757 326758 335760
      339760 343759
 0.25 340812 339811 339810 337808 336806 335805 334804 333803
      331802 329803 327804 327805 327807 329808 330809 331810
      333811 335812 336813 337813 339814 340812
 0.25 301065 299061 295060 291060 288062 284066 280067 269065
      265067 263070 263076 265079 272084 277086 282085 290081
      294079 296077 300067 301065
 0.50 508050 505044 499042 489037 484038 477037 474039 471040
      467038 463035 458037 456045 455054 456062 455066 453070
      446080 442079 440081 439085 438091 442096 445102 447111
      453121 456137 459142 463143 466142 477137 481135 484133
      486131 486120 486111 488103 490099 497084 502070 508050
 0.50 500988 501977 501967 500957 499949 497941 493934 486926
      480922 474921 467922 464926 456937 447945 443947 438952
      435958 433964 432974 431985 431992 430002 431004 434005
      443006 448007 451004 455000 461996 464994 465999 464008
      464013 465017 469023 472027 475028 478027 483023 487017
      492005 498995 500988
 0.50 487987 488980 488972 487966 484963 481961 476962 473964
      474970 476974 477979 479984 482989 485992 487987
 0.50 410070 408065 405060 400062 397067 394071 390075 388077
      390079 394082 397083 398082 403079 408076 410070
 0.50 333741 333740 333739 332737 331735 331733 330731 328731
      327733 327734 326736 325738 325740 324743 324745 325747
      326747 328747 330747 332746 333745 333743 333741
 0.50 295069 293067 289066 286070 282071 278072 273071 268072
      270076 274078 279079 283078 289077 292075 295071 295069
 1.00 497069 498063 498057 494051 491049 486049 480050 473053
      468057 463063 460072 459082 462089 468094 470097 471100
      471111 470120 470125 473128 477127 479124 481114 481105
      481099 483095 488090 492083 495076 497069
 1.00 474939 474936 471934 466937 462936 460939 455942 450948
      445952 440955 437961 435970 435980 435986 437990 443991
      450990 455987 461984 462981 464976 464965 465957 467949
      471943 469939 474940 474939
 1.50 492074 494067 493061 491058 488056 480056 474059 469063
      465070 464076 464082 469087 476089 481087 486083 491076
      492074
 1.50 457971 456964 458957 457953 455951 451954 447958 442961
      440969 439976 441982 447984 450983 452981 455977 457971
 2.00 488073 488065 486062 481061 478063 474065 471068 469072
      468077 470081 475083 480082 483080 485078 488073


24HR QP VT 25/12Z
 0.01 547166 543157 541149 540145 538142 533136 527134 520132
      513131 508132 502134 499134 495134 483128 475126 471125
      467120 466117 470116 473114 477114 485113 491110 500103
      505096 508091 513085 515080 519072 522064 528048 534031
      538023 541014 545006 547995 550974 555936 555928 555924
      552909 550900 548888 548876 546868 544858 541850 538839
      534832 526822 521817 519816 515816 512821 509827 466866
      448888 439899 433910 424923 428940 424957 425962 427964
      432964 434965 435968 433973 434976 437978 441978 453974
      462974 464972 467972 473970 477970 479972 486975 487978
      487982 487990 479005 473016 468024 464030 459037 455043
      447053 444057 443060 439065 435066 434068 432075 423086
      423094 421101 419104 421108 422111 427112 431119 434118
      436115 438115 445121 442129 435140 437158 438161 442162
      447164 454181 458181 462181 464179 466176 466172 463169
      463162 465152 469148 478144 481148 484156 486162 486168
      485171 481180 479187 479192 478196 456210 450215 448219
      450222 462221 471221 476218 484220 488221 491224 495228
      499235 506245 513248 516247 519245 524236 527228 533209
      539194 540189 541187 543178 547166
 0.01 416055 417049 416046 413038 410035 410032 413024 413013
      412003 408996 401995 394996 391998 390002 394018 396027
      399034 394039 390045 388052 391056 393058 400060 409061
      413058 416055
 0.01 411113 412105 411099 410094 408098 399101 391107 389111
      387111 382112 377121 373123 372128 372131 375131 380128
      383124 386125 388123 395119 401118 406116 411113
 0.01 410075 408072 408070 405069 401069 399069 397071 396073
      395078 397078 401079 404079 406077 408077 410075
 0.01 407880 407875 405873 401870 393864 387858 383856 379852
      377846 369837 363835 360835 359832 362825 361822 357823
      350824 343824 338821 334817 331816 330813 331807 333804
      332800 328798 323801 320806 316811 312812 310811 300808
      288803 278799 272797 269801 262802 257801 250804 248809
      246814 247819 250825 254828 258832 260836 276855 284862
      289865 291867 291870 293906 294922 297926 301926 305924
      309924 313921 321911 325899 329889 333884 340882 356881
      361885 367887 376891 384891 389893 396893 400892 402890
      406889 406886 407880
 0.01 383002 384991 382985 379981 373980 368984 362987 358990
      353993 349997 346003 341012 337018 334024 331028 325031
      303025 301026 299031 299036 300041 299045 296050 288057
      284060 277060 273059 270058 265055 254051 242046 236043
      231043 231048 229054 227059 227067 228075 230080 232085
      236089 240094 241100 249109 257116 262125 268125 274124
      288125 294122 298118 303108 305090 304082 304074 305069
      306066 311063 324064 328064 332062 336060 339054 338047
      338044 340041 343036 353032 365027 374020 380012 383002
 0.25 546952 545913 544909 543903 542891 541881 540872 537864
      534859 531852 527848 525845 522844 516847 508854 501867
      494876 491878 487879 483878 476879 469881 463885 459888
      455894 452898 449907 448915 448920 449922 454925 459931
      461937 464942 469945 484949 488951 492956 496962 498970
      499978 500983 499987 495001 491008 487015 473036 466050
      462065 461077 463083 466089 470093 473094 478095 484094
      488090 491086 506063 521041 525035 528029 533016 538000
      540992 542982 544968 546952
 0.25 515163 516157 514153 509149 503147 499148 499154 501163
      502166 499168 494172 494175 497177 504181 506182 509181
      511178 512173 512169 513166 515163
 0.25 351846 352840 350837 342834 328837 322833 318826 315824
      311826 307831 306835 303837 295839 289839 285846 286851
      288853 293858 300861 309860 316856 322851 328849 332847
      334848 341851 348851 351846
 0.25 296079 296076 293073 285070 277069 269067 262065 255061
      246061 242062 241066 245080 247087 251093 255099 260104
      267107 275109 282108 288104 292100 291093 286087 292086
      295083 296079
 0.25 293820 292815 290812 285808 278805 269807 260807 256809
      256814 259820 266823 273824 280826 284826 287824 293820
 0.50 541912 540895 538881 536873 534867 527860 523857 520860
      515868 511879 505890 503895 500899 491903 487907 485912
      485920 486927 497945 501958 503972 503982 502991 500002
      495014 489023 477039 471050 467062 466070 467075 470080
      473083 479085 484083 490078 513043 520033 525025 530014
      534001 537986 539972 539962 540956 540945 540936 540922
      541912
 0.50 475902 475897 474895 472894 470895 468898 466900 465903
      463906 462910 462915 465916 468915 470913 472911 474909
      475905 475902
 0.50 286818 285814 282811 278810 273812 269813 266812 262813
      264815 268817 272819 276821 279822 284821 286818
 0.50 283080 285077 283075 278074 273073 269075 265077 259077
      252079 255087 260094 265099 268102 273103 277102 279098
      280094 279088 278084 281081 283080
 1.00 534920 535915 534909 534907 533902 532897 531895 528897
      526899 525902 525907 525913 526917 527920 528924 530926
      532925 533923 534920
 1.00 526005 527998 527993 526986 527977 527965 526956 525946
      524937 522935 518934 513934 509937 507940 508946 510955
      514968 513978 511986 509994 508001 508008 507013 506016
      489035 482045 478051 476056 474064 476069 480071 483070
      487066 496059 500053 502047 514022 518017 521014 525010
      526005