Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 262147
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
546 PM EDT TUE MAY 26 2015


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 27/0000 UTC THRU MAY 30/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1

18Z UPDATE..
WHILE THERE IS NOT OVERWHELMING MODEL SUPPORTING HERE...DID
INCREASE AMOUNTS EAST OF THE BIG BEND EARLY IN THE DAY 1 PD PARTLY
DUE TO HRRR INPUT AND RADAR TRENDS.  LATEST MESO ANALYIS SHOWS
SOME FAIRLY HIGH ML CAPES BUT STILL A NARROW 85H-75H CAP LAYER.
NOT SEEING A PARTICULARLY STG FOCUS OTHER THAT WEAK UPSLOPE SELY
FLOW AND OUTFLOW FROM ONGOING ISOLD CONVECTION NEAR THE BIG
BEND...SO DID NOT HAVE CONFIDENCE IN PLACING MUCH MORE THAN .25 TO
.50 INCH AREAL AVG AMOUNTS ACRS THIS AREA FOR THE OVERNIGHT.

UPPER MS VALLEY INTO THE UPPER LAKES

PRECIPITATION SHOULD REMAIN WELL DEFINED THIS AFTERNOON INTO THIS
EVENING IN THE COMMA HEAD/DEFORMATION PRECIPITATION BAND
ASSOCIATED WITH THE NORTHEASTWARD MOVING NEGATIVELY TILTED VORT
EXITING THE UPPER MS VALLEY AND MOVING INTO THE UPPER LAKES.
MODERATE TO HEAVY PRECIPITATION TOTALS POSSIBLE IN THE ABOVE
AVERAGE PW AXIS AHEAD OF THIS VORT AND ASSOCIATED WELL DEFINED
UPPER DIFFLUENCE FROM NORTHERN WI INTO THE U.P. OF MI.  ISOLATED
RUNOFF ISSUES POSSIBLE---ESPECIALLY LATE AFTERNOON INTO EARLY
EVENING FROM ISOLATED SHORT TERM PRECIP TOTALS OF 1"+ ACROSS THESE
AREAS.


SOUTHERN PLAINS TOWARD THE LOWER MS VALLEY

IN THE WAKE OF THE STRONG NEGATIVELY TILTED VORT THAT HAS LIFTED
NORTHEASTWARD INTO THE UPPER MS VALLEY/UPPER LAKES---WESTERLY MID
LEVEL FLOW WILL PERSIST ACROSS THE SOUTHERN PLAINS.  WEAK
SHORTWAVE ENERGY MOVING EASTWARD ACROSS THE SOUTHERN PLAINS MAY
IGNITE ADDITIONAL CONVECTION IN THE VERY UNSTABLE AIRMASS OVER THE
SOUTHERN PLAINS---CAPE VALUES 3000 J/KG+.  CONFIDENCE NOT GREAT
WITH QPF DETAILS--BUT THERE IS A GENERAL CONSENSUS IN THE LATEST
GFS---NAM--ECMWF---UKMET AND CMC GEM FOR LOCALLY HEAVY RAINS FROM
EASTERN OK---WESTERN AR INTO NORTHEAST TX.  ISOLATED RUNOFF ISSUES
POSSIBLE ACROSS THESE REGIONS WHERE RECENT HEAVY RAINS HAVE
LOWERED FFG VALUES.

GREAT BASIN---NORTHERN TO CENTRAL ROCKIES INTO THE NORTHERN HIGH
PLAINS

NOT A LOT OF CHANGES EXPECTED TO THE LARGE SCALE PATTERN ACROSS
THE NORTHWESTERN U.S. WITH ONLY A SLOW EASTWARD PUSH EXPECTED TO
THE CLOSED LOW INITIALLY IN THE VICINITY OF THE WA/OR/ID BORDER.
SIMILAR TO PREVIOUS DAYS---A BROAD REGION OF SCATTERED CONVECTION
POSSIBLE IN THE CYCLONIC FLOW TO THE SOUTH AND SOUTHEAST OF THIS
CLOSED LOW ACROSS THE GREAT BASIN---NORTHERN TO CENTRAL ROCKIES
AND INTO THE NORTHERN HIGH PLAINS.  AREAL AVERAGE LIGHT TO
MODERATE TOTALS EXPECTED---WITH POTENTIAL FOR ISOLATED HEAVY
AMOUNTS.  CONFIDENCE---HOWEVER--IS LOW WITH QPF DETAILS.  THE IN
HOUSE PSEUDO BIAS CORRECTED ENSEMBLE MEAN USED TO MITIGATE MODEL
DIFFERENCES.

SOUTHEASTERN U.S.---APPALACHIANS---MID ATLANTIC INTO THE NORTHEAST

BROAD SOUTHWESTERLY MID TO UPPER LEVEL FLOW BETWEEN THE UPPER TROF
MOVING FROM THE UPPER MS VALLEY INTO THE UPPER LAKES AND THE UPPER
RIDGE ALONG THE EASTERN SEABOARD WILL TRANSPORT AN AXIS OF ABOVE
AVERAGE PW VALUES ALONG ALL OF THE EASTERN SEABOARD DAY 1.
SHORTWAVE ENERGY EMBEDDED IN THIS SOUTHWEST FLOW ALOFT AND HIGH PW
AXIS WILL SUPPORT WIDESPREAD SCATTERED CONVECTION FROM THE
SOUTHEAST---NORTHEASTWARD THROUGH THE APPALACHIANS---MID ATLANTIC
INTO THE NORTHEAST. CONFIDENCE NOT GREAT WITH QPF DETAILS---BUT
THERE IS POTENTIAL FOR WIDESPREAD MODERATE TO LOCALLY HEAVY TOTALS.


DAYS 2/3...

...EASTERN U.S....

THE SHORTWAVE TROUGH FORECAST TO REACH THE UPPER GREAT LAKES LATE
WED IS EXPECTED TO LIFT ALONG THE ST LAWRENCE VALLEY ON THU.  ANY
ORGANIZED HEAVIER AMOUNTS ASSOCIATED WITH THIS SYSTEM ARE EXPECTED
TO FOCUS ACROSS NORTHERN NEW ENGLAND ON THU...WITH SCATTERED
AMOUNTS ALONG A WEAKENING COLD FRONT TRAILING BACK INTO THE
NORTHERN MID ATLANTIC STATES.  EXPECT SCATTERED CONVECTION TO ALSO
FIRE FURTHER TO THE SOUTH THROUGH THE SOUTHERN MID ATLANTIC STATES
INTO THE SOUTHEAST.  A NORTHEAST-SOUTHWEST ORIENTED AXIS OF DEEPER
MOISTURE MAY FUEL SOME LOCALLY HEAVY AMOUNTS ACROSS PORTIONS OF
THE AREA WED EVENING.  BY LATE THU EXPECT COVERAGE TO BECOME MORE
LIMITED AS DRIER AIR ADVECTS IN FROM THE EAST.

...SOUTHERN PLAINS...

MODELS ARE IN FAIRLY GOOD AGREEMENT AT THE START OF THE
PERIOD...INDICATING A BROAD UPPER TROUGH CENTERED OVER THE
INTERMOUNTAIN WEST THU MORNING.  SOUTHERLY FLOW ON THE BACKSIDE OF
A RIDGE CENTERED OVER THE MIDWEST IS EXPECTED TO HELP CHANNEL
ENOUGH MOISTURE UP THROUGH THE SOUTHERN PLAINS...WHICH COMBINED
WITH AMPLE INSTABILITY IS EXPECTED TO PRODUCE ANOTHER DAY OF
WIDESPREAD ACTIVITY ACROSS THE REGION LATE WED-EARLY THU.  WHILE
LOCALLY HEAVY AMOUNTS ARE POSSIBLE...WEAK FORCING AND ONLY
SLIGHTLY ABOVE NORMAL MOISTURE IS EXPECTED TO LIMIT THE POTENTIAL
FOR WIDESPREAD HEAVY AMOUNTS DURING THE DAY 2 PERIOD...LATE
WED-LATE THU.  DURING THAT PERIOD...MODELS SUGGEST THE HIGHER
THREAT FOR HEAVY AMOUNTS IS ONCE AGAIN EXPECTED TO CENTER NEAR THE
TX PANHANDLE REGION EASTWARD INTO THE ADJACENT RED RIVER REGION.
AGAIN...WHILE THE POTENTIAL FOR WIDESPREAD HEAVY AMOUNTS IS
EXPECTED TO BE LIMITED...GIVEN THE RECENT HEAVY RAINS ACROSS THE
REGION...DID INTRODUCE A SLIGHT RISK FOR EXCESSIVE ACROSS PORTIONS
OF EASTERN OK WHERE THE LATEST FFG VALUES SUGGEST HEAVY RAINS MAY
POSE GREATER RUNOFF CONCERNS.  BY LATE THU-EARLY FRI...A GREATER
HEAVY RAINFALL THREAT IS EXPECTED TO UNFOLD ACROSS THE REGION AS
THE MEAN TROUGH SHIFTS EAST AND THE LOW LEVEL FLOW
AMPLIFIES...DRAWING DEEPER MOISTURE ACROSS THE REGION.  WHILE
DIFFERING ON THE DETAILS...BOTH THE GFS/ECMWF SHOW THE DEVELOPMENT
OF A CONVECTIVE COMPLEX ACROSS PORTIONS OF N-CENTRAL TX..CENTRAL
TO EASTERN OK AS A FAIRLY WELL-DEFINED SHORTWAVE INTERACTS WITH
PWS CLIMBING TO AT OR ABOVE 2-INCHES.  AGAIN...THESE RAINS MAY
PROVE LOCALLY EXCESSIVE GIVEN THE ANTECEDENT CONDITIONS.  WPC
AMOUNTS FOLLOWED A BLEND OF THE GFS..THE 00Z/12Z ECMWF AND AN
IN-HOUSE BIAS CORRECTED ENSEMBLE.

...CENTRAL-NORTHERN PLAINS-UPPER MIDWEST...

MODELS SHOW A SHORTWAVE TROUGH AMPLIFYING OVER CENTRAL CANADA LATE
THU-EARLY FRI WITH AN ORGANIZING SURFACE LOW LIFTING FROM THE
UPPER MIDWEST NORTHEASTWARD TOWARD JAMES BAY.  MOISTURE POOLING
ALONG THE TRAILING BOUNDARY INTERACTING WITH MID LEVEL ENERGY AND
RIGHT-ENTRANCE REGION UPPER JET DYNAMICS ARE EXPECTED TO PRODUCE
INCREASING COVERAGE...WITH MODERATE TO LOCALLY HEAVY AMOUNTS FROM
THE CENTRAL PLAINS-MID MO VALLEY NORTHEASTWARD ACROSS THE UPPER MS
VALLEY INTO THE UPPER GREAT LAKES REGION.  FURTHER
WEST...POST-FRONTAL UPSLOPE FLOW IS EXPECTED TO CONTRIBUTE TO
LIGHT TO MODERATE AMOUNTS ACROSS THE NORTHERN HIGH PLAINS INTO THE
ROCKIES.  WPC AMOUNTS FOLLOWED A BLEND OF THE GFS..THE 00Z/12Z
ECMWF AND AN IN-HOUSE BIAS CORRECTED ENSEMBLE.

ORAVEC/SULLIVAN/PEREIRA

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

24HR QP VT 28/00Z
 0.01 531205 533190 533174 531161 525148 512136 508133 506129
      505123 506116 505104 506091 504081 500072 493063 490060
      488055 484046 480037 474030 466024 449010 443004 433001
      418995 410991 405990 400988 392985 384981 380980 376977
      375973 377970 380963 384952 388950 389945 392933 395920
      395916 396913 396904 396895 400886 404878 409871 414861
      419853 422853 426855 434859 440862 440866 438871 438878
      437883 441892 441897 440902 438908 438914 440918 444922
      449924 457924 460923 463920 468914 474907 476902 478905
      480909 482907 487907 489903 492890 493876 496864 499856
      502846 506839 522792 526783 528773 533749 535737 535732
      533726 530716 527705 527700 525696 524690 522684 517671
      513662 502645 498642 495637 494639 491640 485643 478648
      471655 461669 442697 436705 430713 424721 418728 411734
      403740 399744 395743 393748 388753 373765 362774 335793
      325807 318815 315819 310821 301821 289821 265819 257823
      256827 258830 263836 270838 275841 285841 286843 284846
      281846 272849 256861 249865 250872 248877 248883 247887
      249892 253894 262899 267901 271904 279906 290907 294908
      296912 295923 300941 301955 297964 294972 292976 292979
      290982 286985 279990 273996 271999 270007 269015 270017
      277019 283020 292021 298021 302020 309016 316011 323006
      331005 334014 337018 341021 351022 354021 359021 365022
      368023 379025 398030
 0.01 398030 416032 419032 422034 428037 434042 437048 438052
      439057 439061 437064 430058 423055 420054 417052 413056
      410058 405057 400055 386049 382049 379051 368050 365050
      361051 357055 374075 374078 377082 376089 378094 381101
      383097 386095 389098 390101 389105 385111 386118 388120
      389125 385136 379149 381156 384162 387164 388169 389171
      393173 400172 411174 413172 414177 417183 425174 430173
      431170 436165 439164 441167 444171 441176 440179 439183
      444189 448193 452194 455193 460188 464181 467174 470171
      474171 478170 482173 485177 487181 486188 485190 484196
      479201 473203 468205 464206 467210 468212 470212 477213
      480213 484213 490217 494222 498229 507243 508246 511247
      516243 514234 511228 509219 513210 524209 531205
 0.01 438086 437083 435083 433085 431087 433089 435088 435087
      437087 438086
 0.01 419100 420097 420095 420093 420090 419088 417088 416085
      414085 413083 411082 409084 409087 409089 410091 410094
      412096 413098 414099 415100 416101 418101 419100
 0.25 526733 524723 520716 517713 513712 509712 505714 497727
      492741 481764 478770 473776 461787 447794 445797 441800
      434804 428804 422801 419795 418790 418785 416778 414769
      418764 424761 431760 435758 437756 440750 441745 441740
      437736 434732 431731 416743 405750 401755 399762 397768
      391773 382782 373793 363802 336819 330822 325823 316830
      308841 306848 303853 301860 298866 295872 293881 294890
      298897 302903 304916 305923 309929 312934 314941 320951
      325955 330958 332963 331969 328971 326976 328982 333984
      339988 348991 356988 362982 366976 368969 370961 370952
      371944 373938 375929 374924 372922 368923 365922 361921
      357920 351922 345925 339928 335929 331928 327920 324909
      324898 326890 329883 331878 337867 340862 345858 351855
      356850 366839 376828 381821 384820 389818 396819 403822
      413827 418830 426830 433828 438828 445831 449836 454842
      456847 457858 458864 457869 454879 450889 444903 445911
      448916 452918 458917 462913 466907 475892 482879 489865
      496845 505816 514788 519771 524752 526741 526733
 0.25 490129 487119 484117 480118 474124 470125 466122 461120
      457119 453122 451127 452133 453137 456142 459145 465145
      468142 470143 472139 479137 486132 490129
 0.25 480107 481100 481093 479087 478082 477079 473078 471084
      468088 467092 467097 470102 472106 474110 478112 480107
      480107
 0.25 473066 474064 473062 471061 469060 469061 468063 469065
      469066 471067 472068 473066
 0.25 448146 448143 448142 446141 445143 445145 445146 447146
      448146
 0.25 444113 442110 438107 435105 432106 428109 424115 420119
      419121 419126 419129 422131 427127 430122 434116 439115
      444113
 0.25 307990 302988 298989 295992 291993 288996 284999 284003
      286007 288008 293007 297006 302005 304003 303000 304996
      306991 307990
 0.50 518748 518739 516730 514727 510729 505736 501746 483781
      474800 468805 458804 453804 448808 445812 444817 446823
      449826 455833 460842 462854 463861 462867 459876 450895
      448899 447905 448911 452914 455916 459913 464905 473889
      483872 486863 490851 501808 508787 514766 518748
 0.50 404792 405789 404786 400785 393784 388784 384789 373800
      369805 362809 349816 336823 331828 330833 329835 323839
      318845 311857 310864 310873 308881 307888 309890 313891
      318887 332861 336854 342850 348846 353841 364831 373821
      392801 395798 400796 404792
 0.50 368938 366933 359933 351932 346934 342939 341945 341952
      339958 340976 343982 347984 352984 357981 361978 364972
      365965 364962 362961 360958 361955 363949 368938
 1.00 491808 492803 491798 487802 483811 479822 477825 472826
      469831 468838 467843 468850 469865 465873 456891 453897
      452903 453908 457908 467890 472880 476870 479860 482849
      485837 488826 491808

24HR QP VT 29/00Z
 0.01 451643 458623 471609 486609 493626 498641 503644 506646
      508651 514663 518677 522689 524695 523700 522729 521743
      519755 519763 517767 514778 507794 503805 498814 494820
      489827 481837 477838 471838 467837 462837 460837 460833
      460825 461820 460811 459805 457800 454798 449797 446795
      444792 443786 445783 454776 457766 457760 457754 454749
      451747 447746 445750 441760 440767 425812 420820 415827
      408835 406839 404843 396860 391868 388877 388884 389891
      392904 397909 403914 406918 413919 419920 425921 439930
      445929 451927 453927 455924 457919 460909 458904 455899
      450890 447887 444887 437883 437880 440877 463876 478869
      483868 486864 490851 491846 497844 501844 503849 507854
      508858 511861 514864 527870 530883 533898 536925 536931
      535940 533953 531960 530964 531967 533965 536965 540962
      546961 551959 555960 561984 563990 562999 561015 560024
      559029 554039 550045 546053 535069 527093 526097 525103
      527114 535139 541162 543173 544179 542182 538186 536190
      535195 535201 534210 532215 530220 528227 525241 522241
      519238 516234 515236 514241 513247 510247 508248 501233
      499227 497226 497222 495216 491214 489216 486215 481214
      472218 468218 466219 463216 464213 460207 469205 477201
      481199 484196 484189 483183 483176 480173 477169 475167
      472168 467167 464168 464172 463176 459180 457180 454177
      446169 443164 440161 437156 434153 433147 434143 432131
      430130 427134 425137 423144 420158 418161 417157 418143
      418139 417136 414135 410135 410138 413141 412143 410143
      407144 407147 409150 410154 407157 400160 393167 389169
      386166 389155 384146 382143 383139 386135 388130 382129
      376130 377125 375120 378094 378090 377087 375082 374080
      372073 371069 368066 362061 354056 346055 341055 337056
      327056 321055 316055 310060 301060 295061 285060 279058
      271054 265048 265043 267040 271036 273034 272032 268030
      261027 252025 250024 250020 252016 256015 263012 277007
      285004 286993 286981 284974 285970 285966 288958 291949
      291938 290928 288921 281910 280904 281900 280896 282892
      283887 283880 277876 270872 266870 265867 269862 275856
      278854 281850 294841 297836 300834 304833 311828 317826
      322824 325822 329819 332815 338801 341794 343785 346778
      350772 354765 362760 368756 372754 373751 373745 375742
      380736 391726 404714 415705 425691 431685 435680 442663
      449650 451643
 0.01 458049 458047 457045 456044 455043 453042 452040 451041
      451044 451046 451049 451051 452054 453055 454054 456052
      456051 458049
 0.01 420768 417768 414769 412770 409773 408775 406778 405780
      403783 405787 407788 410787 411784 413781 414779 416776
      417774 419771 420768
 0.01 382190 382186 381183 380181 378178 376177 374177 371178
      368178 366180 364182 364184 368186 371188 373189 376190
      380191 382190
 0.01 313813 311809 308809 302808 298808 295809 289811 286814
      286818 290819 294820 299819 305819 308818 312815 313813
 0.01 260819 257817 252816 250812 249808 245806 239807 237810
      236814 238818 240821 243823 247825 252824 256822 259820
      260819
 0.25 505166 505165 504163 503160 502159 500159 498159 498162
      500165 501167 503167 504166 505166
 0.25 494661 493654 490645 487637 483633 480635 475640 468651
      461660 456670 453677 451683 448689 447695 444711 444719
      447723 452725 458725 463726 467729 468739 468747 469756
      471765 472768 474769 479765 484753 488740 492726 493720
      494712 495694 495678 494667 494661
 0.25 512903 512894 510888 507885 502887 497898 492909 484927
      474944 467954 466958 463961 459964 454965 447965 441965
      430964 426961 423958 413942 407933 404932 399933 395936
      395943 391948 386948 381947 377944 368939 359936 355928
      352917 350914 347915 342917 339921 335932 329939 327949
      325957 326965 322989 314993 307007 299015 286015 274025
      281030 285036 289045 294048 300048 304046 309044 320044
      329041 338041 343040 347037 348033 350029 359022 365014
      373011 384011 391013 397013 402011 404007 408996 412989
      420982 425982 426987 427996 429002 433012 440018 442020
      442025 436033 436038 439042 447023 452020 455020 462025
      465026 469028 473027 480021 488011 494001 497996 500990
      504964 507952 509939 512903
 0.25 504764 504757 503754 499754 497756 492762 488768 484776
      482785 483795 487801 491802 494799 498793 501785 503775
      504766 504764
 0.25 475106 460086 453075 445066 440062 435068 436072 439073
      444076 451087 453090 450091 445092 440095 437097 436101
      435105 431110 419112 411112 407113 403118 411121 421128
      425124 429118 433114 435112 438112 441116 445123 446130
      448136 451139 457141 462141 465139 467135 470130 473122
      473112 475106
 0.25 419733 418731 415731 409733 405738 403743 404753 404760
      405762 408762 411758 414753 415746 417738 419733
 0.25 417799 416794 413795 408799 403805 399811 395819 393826
      394831 396830 401825 406820 411814 414807 417799
 0.25 414071 414066 416062 414059 411058 409059 407061 405063
      404067 405070 406073 409075 410075 413073 414071
 0.25 391792 381785 383780 384776 382774 379771 377767 374761
      373761 368765 366770 358788 347805 337821 332829 325837
      322840 318843 309847 296854 301874 304879 307881 309886
      307891 303899 299910 299913 300917 303919 308916 311912
      314907 316903 315896 314892 313888 316885 322877 325873
      328872 333872 337870 341867 343863 346851 352845 357836
      362827 367818 372810 375807 382806 386804 389800 391792
 0.25 299893 300891 299889 298888 297889 296889 295891 294891
      293893 292895 292897 293899 295898 297897 298895 299893
 0.50 490667 489661 487656 484648 479649 476652 471658 466665
      463673 462678 463682 464688 466692 468696 469701 468707
      470713 474722 475729 474734 474739 474747 477747 479743
      484725 486715 487704 489683 490667
 0.50 501954 501944 499937 497931 492932 486942 481947 478952
      477960 473964 471972 472977 474978 479975 482975 485975
      487978 489980 489985 489990 492990 494985 497969 501954
 0.50 468001 465996 463993 462989 458985 453982 447981 440982
      438983 438988 441993 446995 451997 458997 463001 468001
 0.50 456113 456108 457103 456100 455097 452095 450095 450096
      451100 452102 453105 452108 450112 452115 454115 456113
 0.50 403989 403986 401985 397984 391983 387984 380985 375983
      369978 365975 363971 361966 361962 365952 365949 363948
      359946 356943 354938 351934 346934 340939 337944 334947
      331956 331964 333970 333976 333982 331995 329000 327001
      323997 319996 319006 316010 306016 288032 290036 294039
      305037 309036 310032 311028 314026 318023 322025 323031
      326036 331037 335036 342030 348024 356020 359016 360011
      360007 362002 371000 375999 380001 383004 387005 392007
      394004 394000 398996 403989
 0.50 359819 359815 356813 350817 342827 334837 329841 324844
      314852 313855 312859 315866 322863 326862 329863 332864
      335863 338856 343845 348840 352835 358823 359819
 1.00 366994 363978 359972 357970 353970 351977 349985 342997
      339003 336008 332013 331023 330030 334027 343017 350016
      354013 354007 357000 362996 366994
 1.00 348965 349960 348957 346955 345953 342954 341956 340960
      340965 340969 341971 344972 346971 348967 348965
 1.50 353000 354998 354996 353994 353993 351992 350993 349995
      349996 348998 347999 347000 347002 347003 349003 351002
      353000 353000


24HR QP VT 30/00Z
 0.01 559872 559864 557856 555842 552825 550811 548800 547794
      543790 530777 526772 523771 523767 521762 519753 517747
      515743 512744 506750 501752 498755 495758 493762 490772
      486783 482794 475801 470803 466806 459809 454817 450826
      448831 444835 434838 429840 425841 419834 416835 414837
      407842 399848 398838 406820 411817 414814 416810 420802
      418797 417790 403783 396778 395775 398772 398765 394755
      392747 392740 393735 392729 389730 386733 377747 372755
      369759 368764 365768 362771 358775 355779 351786 349791
      346796 339812 329830 329840 328845 328851 326856 321859
      313861 309860 305863 295864 286867 283869 279873 277875
      279879 281881 284881 289882 298884 300885 301886 300888
      298893 291901 289904 288910 287916 286920 286931 287934
      288939 289949 281966 278970 274972 267975 257978 262984
      257993 252001 249005 245007 241009 239013 244019 246024
      250024 254026 259028 266034 274038 287040 290041 294041
      302042 307043 310041 314040 318041 322042 326040 335037
      339035 346035 346040 344043 342043 338045 332045 324046
      325051 330052 338054 351056 357056 362058 365058 368058
      368060 368064 370070 374078 381084 384088 387089 390089
      392091 394096 403086 407085 409083 412085 413090 416093
      420095 422098 418101 416106 414107 413104 412101 410096
      408093 405098 403104 396106 396115 400116 403115 407117
      406119 411120 415119 419122 421127 420133 422138 424136
      426129 427127 430126 433129 431147 437154 443156 446156
      447158 450161 454162 461163 470164 474167 478172 480178
      482182 486186 488190 481197 479201 475205 469209 467214
      481211 490206 497203 499202 502202 507204 509209 511214
      514224 517228 520229 524231 527231 530228 534217 537212
      538206 540200 541191 542182 541178 538172 535169 532160
      533151 531146 526139 524136 520135 517137 512136 502134
      500134 498131 494129 488127 487123 486117 486111 485108
      486104 488098 489093 487089 483079 482074 481068 480057
      479048 481043 484033 488022 490017 493013 497005 487005
      476019 471026 469031 466034 462032 460031 459028 461015
      465992 469984 474977 489972 494965 499955 501951 504950
      505952 512957 525968 528972 532973 542974 546973 548970
      554963 557950 559936 558921 558905 557895 557886 559872
 0.01 477699 475684 474677 472673 467664 461659 457659 456662
      456670 456675 458689 457695 455700 455703 459704 467700
      470702 475700 477699
 0.01 443220 444217 440216 438216 435217 433218 429218 427219
      425220 423222 425223 429224 430223 434223 436222 439221
      441221 443220
 0.01 396145 397140 392138 386137 384133 383128 383126 386125
      388120 387118 384110 380110 377114 373123 372129 373134
      378135 379141 383147 387150 390149 396145
 0.01 388199 386195 383192 380189 377186 373183 368182 363182
      362184 366187 371189 374191 377194 382197 386199 388199
 0.01 390171 390169 390167 389164 387166 386166 386168 386169
      388171 389172 390171
 0.01 298802 295799 290799 279801 273802 268800 259798 255798
      254800 252806 251808 254810 258809 261811 265813 273817
      281823 286823 289820 295811 298802
 0.01 248812 247804 244799 243797 242793 240787 235788 231792
      231798 232806 234812 235820 237824 243821 246817 248812
 0.25 552906 552891 552877 550864 548852 546841 544830 542821
      539812 535806 531800 522786 520783 517782 509786 500794
      493799 489805 481819 478823 475826 467828 461830 457835
      454842 452851 450856 448859 443864 437868 434874 429888
      419902 414905 405908 401910 399913 397916 397922 398927
      397931 394938 391947 388948 386946 384938 386930 388922
      385915 379910 376909 374905 373900 370900 363903 356909
      352914 344924 339930 337933 333935 330939 327948 327953
      328958 328966 325973 318977 313981 310986 308990 305992
      306987 308985 309981 307978 301973 297973 294975 289979
      287981 287984 288987 293993 293997 294000 292000 284002
      275003 271003 271005 272010 272019 274025 279029 287031
      290030 293028 294025 293020 293015 295012 300008 305011
      311015 314023 318025 320024 325018 331013 336009 342011
      348014 354018 361018 363008 365005 368004 375008 379015
      381017 385017 394016 397014 399014 400017 401021 403026
      407027 408032 409042 400051 398053 399055 407057 413059
      417063 417067 421082 421088 423090 428096 434101 441105
      445105 448104 454105 459103 461099 463099 468101 473104
      474098 473094 469086 466081 463075 459066 456059 451054
      448049 447046 446038 443030 442024 443019 444012 445007
      449000 454994 457984 460978 467964 470958 472950 477944
      481943 485944 489942 492939 497934 505923 514910 518904
      522899 527898 530900 533907 535918 537925 541933 543935
      545933 550918 552906
 0.25 532214 532206 530200 527189 521181 518178 515177 510176
      501170 497168 492168 490172 493175 496179 502187 508190
      512191 515203 522213 526216 530215 532214
 0.25 393050 392049 390049 388049 388050 390052 392052 393050
 0.25 382786 383782 381777 377778 374782 371787 366797 359805
      348824 347831 347839 348846 347855 345860 342864 334870
      332876 332880 334881 338879 342875 352870 360863 360856
      362850 363845 361839 358834 358828 361823 364818 373811
      375807 377801 379792 382786
 0.25 383054 383052 383051 381050 379049 378050 377051 377052
      378053 379054 381055 383055 383054
 0.50 531846 530838 529834 526832 524828 520820 519816 519811
      520806 520800 517796 515796 506808 501810 499813 495821
      487836 482842 478843 475842 469841 465840 463843 457860
      453868 448873 440877 438879 437882 432900 428907 422912
      416917 414921 413925 415933 414939 413943 409950 405951
      402953 398960 395970 394974 394979 393987 390993 387002
      384009 388008 390006 396000 399992 404985 406982 409982
      410984 410989 408998 410005 413013 416015 419015 422016
      425019 427020 429019 431015 433005 437998 437992 439988
      446973 448976 453974 459969 462961 465953 464942 465934
      467924 469914 473895 477885 479882 482881 486881 489884
      491887 495886 498884 500887 501892 501898 500910 500914
      504917 509911 513905 520891 522881 522871 520859 521855
      523852 529849 531846
 0.50 495843 495842 493842 492843 491844 491846 490847 489848
      488850 488851 488852 490852 492852 493850 493849 494848
      494845 495844 495843
 0.50 493929 492924 487924 484925 479926 476928 472932 471937
      473939 477937 481935 486937 490934 492931 493929
 0.50 460089 459084 458077 455074 452071 449068 445065 442064
      438067 441072 444075 446077 450080 452085 456088 459090
      460089
 0.50 430092 430090 429089 428087 426086 426089 428091 428092
      429092 430092
 0.50 432063 432059 431056 428054 427053 424051 424048 422045
      420046 421048 422051 422055 424058 425060 426063 430065
      432063
 0.50 384988 384987 383986 382984 381983 380982 379983 378984
      377985 376985 375987 375988 376988 378990 380990 382990
      384990 384988
 0.50 373943 375938 374934 370931 365929 361926 355929 352933
      350938 346942 343945 340947 340951 336962 332973 328977
      323979 318981 315985 310996 309002 310008 315018 318020
      320017 323012 329004 335002 340002 349006 351008 353007
      356001 357995 358991 358987 359980 362975 364962 370952
      373943
 0.50 291018 292012 292006 289004 286004 281005 278007 276011
      276017 277022 279024 285026 289024 291018 291018
 1.00 461920 461907 460903 457901 448890 445889 443892 441900
      438908 433913 427917 422923 420931 420942 423951 426957
      428955 429949 431940 434939 437941 442945 446945 449943
      452942 454938 456930 460923 461920
 1.00 456949 458944 455945 454947 454949 454950 455950 456949
 1.00 421975 420973 418970 416968 414966 413963 410962 407963
      407966 407968 410970 412971 414973 416976 417979 420978
      421975
 1.00 361952 356949 351952 345955 341960 338966 336973 333979
      328983 323986 318990 315996 315000 317003 321002 326999
      331994 339993 344995 348991 352976 357962 361952
 1.00 288018 288016 289014 289012 289010 288008 287007 285007
      285008 284008 282009 282010 280011 279013 278016 279018
      280019 280020 281021 283022 285021 286020 287020 288018
 1.50 348971 349965 348959 345962 342965 340969 339973 337979
      336984 339986 342986 346982 347978 348972 348971

$$





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