Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 192040
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
439 PM EDT TUE JUL 19 2016


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID JUL 20/0000 UTC THRU JUL 23/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...

...DAKOTAS/MIDDLE TO UPPER MS VALLEY/UPPER GREAT LAKES...

A COMPLEX SITUATION UNFOLDING OVER THE MIDDLE MS VALLEY AS AN
EXPANSIVE REGION OF CONVECTION REMAINS OVER THE STATE OF IA. MUCH
OF THE SURROUNDING REGION IS CURRENTLY FEELING THE INFLUENCES OF A
BROAD CIRRUS SHIELD WHICH SHOULD LIMIT SURFACE HEATING.
HOWEVER...ALL SIGNS DO POINT TO ANOTHER BOUT OF CONVECTION DURING
THE OVERNIGHT HOURS AS A 850/700-MB SHORTWAVE MIGRATES FROM
EASTERN WY INTO THE DAKOTAS/MN. AN IMPRESSIVE SURGE OF LOW-LEVEL
MOISTURE TAKES SHAPE IN ADVANCE OF THIS WAVE WITH THE NOCTURNAL
LLJ TRANSPORTING 1.75 TO 2 INCH PWATS INTO THE UPPER MIDWEST. AT
ITS PEAK...MODELS DEPICT THE 850-MB FLOW NEARING 45 KNOTS BY
20/0600Z. THE COMBINATION OF STRONG WARM AIR ADVECTION COUPLED
WITH ABUNDANT ELEVATED INSTABILITY...2000 TO 3000 J/KG...WILL
SUPPORT THE DEVELOPMENT OF A HEALTHY CONVECTIVE COMPLEX. A GRADUAL
SHIFT SOUTHEASTWARD IN TIME IS LIKELY GIVEN THE STAGNANT MID/UPPER
RIDGE CENTERED IN THE MIDDLE OF THE COUNTRY. AS EXPECTED...MODELS
SHOW A VARIETY OF SOLUTIONS SO PLAYED UP ANY MODEL WHICH SEEMED TO
HANDLE THE ONGOING IA COMPLEX TO A CERTAIN EXTENT. AS
SUCH...FAVORED A COMBINATION OF RECENT HRRR RUNS AS WELL AS THE
00Z HRW-ARW/HRW-NMM-B COUPLED WITH SOME CONTINUITY FROM THE
PREVIOUS SHIFT. THE LATTER WAS PARTICULARLY USED DURING THE MCS
PROGRESSION GIVEN THE GENERAL UNCERTAINTY IN THE FORECAST.


...SOUTHERN MID-ATLANTIC/SOUTHEASTERN U.S...

AS A BAROCLINIC ZONE REMAINS OVER THE LOWER
MID-ATLANTIC...ABUNDANT CONVECTION WILL CONTINUE TO  BE FAVORED IN
THE VICINITY OF THIS BOUNDARY. THE BLENDED-TPW PRODUCT SHOWS PWAT
VALUES IN THE 1.50 TO 2 INCH RANGE POOLING OVER THE CAROLINAS AND
ADJACENT LOCATIONS. THE ACTIVITY SHOULD PRIMARILY BE FUELED BY THE
DIURNAL HEATING CYCLE ALTHOUGH THERE MAY BE SOME BRIEF UPTICK IN
CONVECTION WITH ANY MESOSCALE PERTURBATION MOVING THROUGH WITHIN
THE NORTHWESTERLY FLOW ALOFT. EXCEPT FOR THE 12Z NAM WHICH WAS
DISPLACED TO THE NORTH AND WEST...THERE WAS A REASONABLE CONSENSUS
TO FOLLOW ALONG THE CAROLINA COAST WITH A MAXIMA ALONG THE OUTER
BANKS DOWN INTO SC WHERE SEA-BREEZE CIRCULATIONS MAY LOCALLY
AUGMENT ACTIVITY.


...SOUTHERN/CENTRAL ROCKY MOUNTAINS...

WITH A 597-DM RIDGE CENTERED OVER THE SOUTHERN/CENTRAL
PLAINS...RETURN FLOW ON THE WESTERN EDGE OF THE ANTICYCLONIC
CIRCULATION WILL DRAW ABUNDANT SUBTROPICAL PACIFIC MOISTURE
NORTHWARD. THE ENHANCED MONSOONAL MOISTURE IS FORECAST TO MOVE
THROUGH THE FOUR CORNERS REGION IGNITING NUMEROUS
SHOWERS/THUNDERSTORMS ACROSS THE REGION. AS USUAL...THE HEAVIEST
RAINFALL AMOUNTS ARE LIKELY IN REGIONS OF TOPOGRAPHY GIVEN ANY
LOCAL UPSLOPE TRAJECTORIES. GIVEN AN INVERTED-V SIGNATURE IN MANY
OF THE FORECAST SOUNDINGS...EXPECT LOWERED PRECIPITATION
EFFICIENCY AT LEAST UNTIL THE COLUMN BEGINS TO SATURATE.
OVERALL...FAVORED A COMBINATION OF THE 12Z NAM/GFS WHILE UTILIZING
THE HIGHER RESOLUTION OF THESE SOLUTIONS FOR OROGRAPHIC
INFLUENCES.


...GULF COAST/FL...

ELSEWHERE...PERSISTENT LOW/MID-LEVEL EASTERLY FLOW WILL CONTINUE
TO DRAW ENHANCED ATLANTIC MOISTURE TOWARD THE FL PENINSULA. MUCH
OF THE CONVECTION SHOULD ORIGINATE ALONG THE SEA BREEZE
CONVERGENCE ZONES AND QUICKLY MIGRATE WESTWARD WITH THE PREVAILING
EASTERLY FLOW. LOCALIZED HEAVY DOWNPOURS ARE LIKELY GIVEN THE
TROPICAL AIR MASS IN PLACE. UTILIZED A NON-12Z NAM MODEL CONSENSUS
GIVEN THE NAM APPEARED TO BE A TAD TOO DRY OVER SECTIONS OF FL.



DAYS 2/3...

...NORTHERN PLAINS/MID TO UPPER MISSISSIPPI VALLEY/GREAT
LAKES/OHIO VALLEY/APPALACHIANS...

THE MAIN FORECAST PROBLEM FOR DAY 2...BEGINNING AT 00Z
THURSDAY...REMAINS WHETHER OR NOT ANOTHER COMPLEX FORMS OVER PARTS
OF THE UPPER MIDWEST/WESTERN GREAT LAKES AND ITS EVENTUAL TRACK.
THE SYNOPTIC PATTERN APPEARS TO BE FAVORABLE FOR SUCH
DEVELOPMENT...DIFFLUENT UPPER HEIGHT/THICKNESS PATTERN EAST OF THE
RIDGE AXIS AND ALONG THE QUASI-STATIONARY SURFACE FRONTAL ZONE.
IN ADDITION TO THAT...ANY COMPLEX WOULD BE HEADED TOWARDS A MORE
MOISTURE RICH ATMOSPHERE.  OVERALL...THE WPC GRAPHICS KEPT A LARGE
DEGREE OF CONTINUITY WITH THE FORECAST ISSUED OVERNIGHT AND WAS
NOT SWAYED TOO MUCH BY THE GENERALLY LIGHT AMOUNTS/POORLY DEFINED
AREAS OF QPF SHOWN BY THE GLOBAL MODELS...OR BY THE POOR RUN TO
RUN CONTINUITY SHOWN BY ANY PARTICULAR MODEL.

FOR THAT REASON...WE MADE ONLY MINOR CHANGES TO THE PERIPHERY OF
THE SLIGHT RISK FOR THE DAY 2 PERIOD BASED ON MODEL TRENDS. THIS
STILL TAKES INTO ACCOUNT THE POSSIBILITY OF HEAVY RAIN THREATS
EARLY AND LATE IN THE DAY 2 FORECAST PERIOD /12Z WEDNESDAY TO 12Z
THURSDAY/.

ON DAY 3 (12Z THU - 12Z FRI)...ANY REMNANT MCS ACTIVITY (AND
ATTENDANT MCV) WILL PROGRESS STEADILY SE-WARD DOWN THE RIDGE AND
ACROSS THE OH VLY AND MAY APPROACH THE MID ATLANTIC REGION IF IT
HOLDS TOGETHER THAT LONG.  WITH THE LOSS OF THE NOCTURNAL
LLJ...WPCQPF INDICATED A DIMINISHING TREND WITH THE AREAL COVERAGE
AND AREAL AVERAGE AMOUNTS DURING THE DAY THU...WITH THE FORECAST
BASED ON THE LATEST MULTI-MODEL ENSEMBLE LED BY THE ECMWF/GFS/NAM.

...SOUTHWEST/SOUTHERN GREAT BASIN/SOUTHERN TO CENTRAL
ROCKIES/CENTRAL PLAINS...

SOUTHWESTERLY LOW/MID-LEVEL FLOW ON THE WESTERN SIDE OF THE RIDGE
OVER THE SOUTHERN PLAINS WILL SLOWLY STRENGTHEN...WITH MOISTURE
FROM EASTERN PACIFIC TRANSPORTED FROM THE SOUTHWEST INTO THE
CENTRAL ROCKIES.  THE MODELS...ESPECIALLY THOSE MODELS WITH A
FINER GRID SPACING BOTH HORIZONTALLY AND VERTICALLY...SHOW A
GRADUAL UPTICK IN COVERAGE OF LATE DAY AND EVENING CONVECTION OVER
THE HIGHER TERRAIN ON LATE WEDNESDAY AND AGAIN ON THURSDAY.  THIS
IDEA WAS ALREADY COVERED BY THE PREVIOUS FORECAST...WE ONLY MADE
SOME MINOR ADJUSTMENTS TO CONTINUITY.

RUBIN-OSTER/BANN

24HR QP VT 21/00Z
 0.01 536000 536991 535984 532969 530957 524949 519942 524936
      525932 526923 528910 528903 526899 519892 516888 512886
      507884 504880 500873 494868 486866 483868 479871 477876
      476882 475890 470892 463896 461883 458873 459867 462864
      464859 463852 461848 459846 456842 452840 447841 444844
      439851 433854 427853 423852 417852 414854 412857 408861
      404863 396866 388871 385875 382880 379900 379905 381909
      389912 394912 397915 402923 424957 429964 431968 433971
      433975 431980 431985 427994 424999 422003 418008 415014
      410020 404026 399033 394034 390035 382039 374041 371042
      365042 357046 354049 351054 343058 333057 330055 327057
      328061 324065 322068 320074 316077 314079 311079 304078
      299078 294079 291084 289089 291091 290098 293102 292109
      293117 296121 298125 330130 335131 339129 342129 347132
      353134 358134 362132 366129 368125 369122 368120 368116
      370114 373119 373126 374131 376132 380129 386125 388121
      392119 398113 406111 417095 419074 420062 415053 415045
      418039 421035 423029 430021 438014 452005 455998 459994
      462992 469988 476993 468998 462004 457010 451014 449018
      448024 450029 453034 456038 457042 456047 452059 452062
      450066 450072 449081 449089 451103 454110 461128 467135
      470140 468143 464152 459162 454172 447179 449181 449184
      448188 445196 442202 439206 431209 427210 423213 422215
      422219 426224 430222 434220 440216 444218 448218 454211
      463197 472185 484167 485172 484177 483192 481198 478202
      474206 471208 466210 463213 462221 466225 469224 472224
      473228 470231 466233 462234 461237 462239 466242 469242
      473243 477246 482250 484245 483241 483234 482230 479227
      476225 477223 481223 484226 486231 488228 490229 497237
      501237 504235 504231 503225 499216 496207
 0.01 496207 496199 497193 498185 500180 501165 501159 501154
      497143 495133 492122 492116 492113 493110 498103 502096
      506084 509073 510058 505050 501041 500035 499032 501030
      507035 517036 524033 528024 534016 535003 536000
 0.01 389753 380728 378722 376719 372715 370709 367705 363703
      359702 355706 344725 332744 327752 323762 316782 313791
      311798 310805 307807 304807 300806 299803 296799 293795
      285791 276787 271786 264787 259788 255790 246796 241805
      239811 238818 243828 245831 249833 253831 256832 257834
      263843 268843 272843 277842 281846 284847 285851 286856
      284869 285877 283882 284896 286908 284920 282933 279944
      272952 264960 261962 257961 253959 249957 244957 240960
      238962 239965 244974 244979 242985 243995 245000 249004
      258010 261013 266015 270017 276018 281018 285014 286009
      286003 279995 275993 272991 274988 280980 294964 296961
      298958 301958 305956 312956 317946 321933 323924 324916
      328913 330909 334903 337900 341896 346895 348891 351887
      352881 352873 351867 350862 347857 344853 343847 354850
      357846 357838 356822 357816 360812 365803 372795 379785
      387767 389753
 0.25 521996 521989 520981 515976 512975 508980 506988 506998
      508006 511011 514012 518009 519007 521999 521996
 0.25 477238 479236 478234 476234 475235 476236 477238 477238
 0.25 497960 498949 497942 494936 487935 482937 478942 477949
      477959 480964 485967 487968 491968 496965 497960
 0.25 495909 495901 493897 491894 487894 484897 482899 479904
      479909 480912 484915 489915 493914 495909 495909
 0.25 463942 462932 461926 455915 451904 446893 442887 440883
      437878 433874 424870 417870 410871 404873 399874 390879
      386884 386892 387898 390902 399909 405917 412926 419933
      427940 436947 444954 449955 454954 460948 463942
 0.25 402074 401066 401060 400058 397051 392046 386045 380047
      377048 377052 381057 381060 379062 373061 369061 366064
      370069 373071 373075 372081 373084 376091 378094 380095
      386093 391090 390086 391084 393080 396078 401076 402074
 0.25 389084 389082 389079 389077 388076 386077 385077 383079
      383081 383082 383083 384086 384087 386086 388085 389084
 0.25 370757 369749 367745 363734 359731 355732 349738 342746
      337753 329771 326780 323790 321801 320807 320812 324822
      329823 334822 346808 352801 355792 360783 362773 367764
      370757
 0.25 369106 366103 365097 367095 368090 365088 361085 357087
      354088 353091 356095 360098 361101 364105 368107 369106
 0.25 353117 353115 352115 351114 349113 347113 346114 347115
      349116 349117 351117 352118 353117
 0.25 344105 344103 343100 343098 343096 342095 341093 340092
      338092 337093 337095 336097 338099 339100 339101 340102
      341104 342104 343107 344105
 0.25 326098 325097 324096 324095 323096 323098 325099 326098
 0.25 318116 319114 318113 317112 316112 315114 315116 316116
      318116 318116
 0.25 320093 318092 317092 316092 316094 318095 320093
 0.25 313898 314892 313887 309884 305886 303890 303897 303903
      304909 305914 308917 311913 312909 312903 313898
 0.25 307869 307867 307865 307863 306861 306860 305859 304858
      303859 302860 302861 301863 302865 302867 302869 303870
      305871 306871 307869
 0.25 289824 285822 279821 273812 271807 272805 273801 270795
      266793 260792 255795 251798 248802 249810 252814 257816
      263818 266821 272823 278826 281829 285829 289824
 0.50 456935 455929 453924 450913 446902 440894 434888 427882
      419878 409877 398878 393879 390881 388883 387887 389891
      396899 407913 412921 419928 433939 441944 445947 449947
      454942 456935
 0.50 397060 397058 395058 393058 392059 391061 390061 391064
      393063 395063 395062 396060 397060
 0.50 384074 383072 383069 382067 380065 378066 378067 377069
      378071 377073 377076 377078 376080 376082 377083 378083
      379081 379080 380078 381077 382076 383075 384074
 0.50 362751 362745 361742 358739 355739 349743 344748 337760
      331774 329781 326790 326799 327809 329812 333812 338808
      347796 353782 359767 361760 362751
 0.50 265798 264798 262798 261798 259799 258799 257800 255801
      256803 258803 259803 261803 261802 263801 264800 264799
      265798
 1.00 446933 446927 445923 443918 440911 439904 431896 427892
      422889 416887 409887 406889 404892 403899 410910 413914
      417919 421922 427923 435930 440933 444934 446933
 1.00 348771 349769 348767 347766 346765 345764 343765 343766
      342767 341768 341770 340771 340773 340775 341777 341779
      341781 343780 344779 345778 346776 347774 348773 348771
 1.00 341788 341784 340781 338784 336785 334787 333789 332794
      333798 334800 336799 337797 339794 340790 341788
 1.50 421902 422898 420895 418893 415892 411892 409894 408898
      410903 411905 413907 414910 415913 419912 419908 420905
      421902

24HR QP VT 22/00Z
 0.01 507727 506706 503701 500697 497693 492689 488688 482689
      473695 464703 448717 439726 439731 436736 432741 430747
      432753 435758 443766 445769 450770 461773 466774 471774
      474773 476775 482774 484771 487770 491767 495764 498758
      501754 503749 506735 507727
 0.01 506831 503825 497821 492822 489824 485826 482828 477831
      471828 461821 436808 425805 417806 412811 405824 397825
      389831 380840 375853 374860 373869 375873 378877 380880
      381886 384891 392892 398893 406894 412894 420893 423890
      427891 434894 445897 448904 452913 455918 460923 463927
      464932 466942 468960 469972 467981 466992 464002 463030
      463041 464050 466056 469060 471061 477061 479057 481053
      484045 485037 487032 489024 491016 494009 497003 504988
      505983 506978 506962 504944 506926 500912 502903 505893
      503852 505839 506831
 0.01 492209 492205 490202 485203 476208 465211 461213 456214
      453215 449214 443212 437211 433215 433218 435220 441223
      448224 451225 454228 456226 460226 465225 471224 475222
      484217 492209
 0.01 479238 480236 480234 480232 478231 478230 476231 474231
      474232 473233 472234 471236 472237 473239 473240 475240
      477239 478239 479238
 0.01 464236 459232 453233 447236 441237 433238 429237 427240
      430242 434243 441243 449242 454241 461239 464236
 0.01 428061 429058 428056 427053 425053 425056 423058 423060
      423062 424063 426063 428061 428061
 0.01 425032 425020 422015 420010 417006 415001 412996 408993
      405989 401988 393984 391984 387986 387997 388001 390004
      394014 396020 396024 395027 392031 391034 392035 392039
      389038 384037 380036 371041 368041 367043 369048 365049
      360051 356054 355064 353069 350070 348068 341069 338068
      337070 334073 332075 327076 325080 321080 319082 316081
      310080 305078 298077 290081 276077 272071 266066 261064
      259060 259057 263055 255039 254043 257046 258049 257052
      253049 248050 249054 246057 253085 256089 259091 264092
      267096 261101 265104 269106 274108 276112 282116 286119
      288122 292125 295126 298129 303130 307129 313130 332136
      338133 341131 346133 355136 360136 363134 367132 369128
      370124 370121 372122 374127 374130 377130 386126 392121
      397116 405113 408111 412108 412102 412096 409091 411086
      413080 413074 417076 415073 415067 419067 419062 415061
      414056 416054 420051 421046 418041 417039 419037 425032
 0.01 406093 405091 404091 403089 403088 402086 400084 399085
      399088 399090 399092 399094 399095 401094 403094 405095
      406093
 0.01 403102 404100 403098 401099 401102 402103 403102
 0.01 405049 404048 402048 402049 402050 404050 405049
 0.01 379791 377788 374787 369788 367791 362793 357795 354795
      353793 351789 354782 358777 363760 365751 365746 362742
      359740 356742 347749 344747 339748 335754 331761 328768
      321784 311800 304805 296806 294801 288797 282794 278792
      278790 274780 268781 265785 265789 264791 262792 258791
      254791 244801 242804 242809 243815 246819 254823 263827
      269830 276834 288841 286859 286872 288887 288897 287907
      289915 291924 292933 294937 295941 294943 290952 288957
      290962 297962 303958 310945 314937 318935 322937 326939
      331939 336937 339934 343926 341919 331908 320896 318893
      317886 318881 318873 321856 322854 324853 326858 329861
      333861 344851 347847 350844 357836 365821 368815 371806
      376798 379791
 0.01 378107 378105 377103 375104 374105 374107 375108 377109
      378107
 0.01 363112 362107 361105 358100 358098 354097 349097 346093
      345089 342089 345096 347101 352106 354111 358114 363112
 0.01 345057 343056 341054 338054 334053 330053 327053 325055
      325057 326059 328059 331060 334058 337058 341058 343056
      345057
 0.01 328118 328116 327114 326115 326118 327119 328118
 0.01 283093 282091 280091 278091 278092 278093 280093 282094
      283093
 0.01 231996 247002 253002 257002 266999 274996 277995 281991
      284989 286985 283982 275977 268974 269970 271965 274956
      276946 278943 278937 278931 273930 269931 266934 263937
      260937 254933 249931 245932 239937 231946
 0.25 497957 496942 493935 490929 489920 490912 494901 496895
      497887 497875 496865 495859 492853 488851 485852 482856
      479862 474867 471867 468865 464855 461851 458845 455841
      452837 449836 447837 445840 442841 431838 423836 411834
      406833 401833 398834 391841 385849 383854 383862 384871
      386877 389882 394884 404885 430882 438885 448889 453891
      457894 462899 465905 469916 472930 477940 478948 477959
      476975 475989 475995 476000 478002 483001 487995 490985
      495972 497962 497957
 0.25 405065 405063 405062 403062 402062 400065 401067 403067
      405066 405065
 0.25 399067 393060 386056 386049 384050 382049 379050 378052
      379054 382058 381060 378061 375062 373067 372073 374082
      376084 379084 382082 383079 385076 392072 399067
 0.25 365090 364089 362089 361089 362091 364091 365090
 0.25 356120 354118 354117 352116 351115 350115 349114 347114
      345115 345116 347118 349118 349119 350120 352120 354121
      356120 356120
 0.25 348774 348771 345771 341773 334778 330785 327794 325803
      324806 326810 328814 332813 334811 338802 341793 345785
      348776 348774
 0.25 345816 344815 343815 342816 341817 341819 343818 344818
      345818 345816
 0.25 335112 335110 335108 333106 332105 331105 330107 331109
      332110 333111 335112 335112
 0.25 313847 313843 312840 310837 309835 308831 306830 304832
      302835 302838 302842 303846 305846 308848 311849 313847
 0.25 312913 312905 310899 307894 305892 302893 299897 296901
      294908 295916 297921 303924 308921 311916 312913
 0.25 279811 276807 272804 267800 263798 257800 252803 250805
      249808 253814 257816 263819 268819 273817 279813 279811
 0.25 271091 272089 271087 269088 269089 268091 269092 271093
      271091
 0.25 258962 259958 257956 254954 252954 247956 243958 240960
      237963 239968 243971 247970 252968 255966 257963 258962
 0.25 231989 235991 240990 244990 248988 251985 254982 256980
      256977 253977 248977 243978 239978 234979 230981
 0.50 491957 490949 489939 487938 485939 483942 484946 485950
      485954 483962 482969 481979 483979 485972 487967 490959
      491957
 0.50 464883 464875 462869 455862 451861 445862 441860 439856
      434846 431844 426842 407839 401840 397842 393845 391849
      389854 387861 387865 388870 390875 393879 399880 404880
      416879 425876 429874 431872 435872 441878 449884 456888
      461888 464883
 0.50 380076 380074 380072 378073 377076 378076 379077 380076
 0.50 306911 306909 306907 305905 304904 302904 301905 300906
      300907 299910 299911 299912 299913 300914 301914 303914
      304914 306911
 1.00 426855 424851 422850 413851 406850 402850 399853 396858
      396869 396874 400875 409875 418872 420870 421867 424859
      426855
 1.50 410868 409867 407867 405867 403867 402869 403870 405870
      407870 409870 410868 410868

24HR QP VT 23/00Z
 0.01 543060 541044 541041 539040 533039 527039 523040 512039
      506026 504019 502011 500004 498998 495993 490992 485993
      482989 478987 472986 460986 456988 451989 446991 441995
      435997 433998 431997 427993 424987 424982 423980 419980
      412989 403996 400000 397004 391011 383017 382031 381033
      379033 377030 373030 370030 369033 366038 363043 360047
      355058 355065 353070 350075 346079 345095 349101 350103
      353104 360107 364110 367111 369109 373107 376109 375114
      375118 374121 373131 378130 382127 389120 393115 397112
      403112 407110 416087 420083 415082 410083 411077 416066
      414061 413059 416057 430045 440050 445048 447049 449051
      458074 461078 465080 468078 468072 468063 469059 470062
      472066 476064 481060 483059 486060 489069 487075 482089
      480095 477101 471108 474119 475124 473128 471133 468138
      463141 459145 458145 459149 461156 462159 461161 457165
      456172 458175 460176 465175 469175 471179 474184 477188
      483196 490196 497198 506196 513197 516195 520189 523185
      528175 528169 528161 526144 526136 526126 528108 536080
      543060
 0.01 517740 514714 513702 510691 508683 508674 507668 506663
      504659 501656 496651 493649 492645 487639 483637 478639
      474644 471653 468656 464658 456661 452663 449666 447669
      447673 448678 450681 451688 448691 443697 439702 435708
      430713 425714 423718 420723 416730 414739 411748 407758
      405765 398769 394770 391773 389776 386778 378779 370783
      367788 364795 361803 356807 354807 353804 354797 354794
      352793 348793 346796 344800 340803 330813 324817 316821
      311821 308821 307819 306816 303814 296813 288813 287805
      288796 288788 288780 288775 286771 284768 280769 267781
      261784 257787 254791 251792 243792 241794 241800 240808
      242817 245824 248831 251836 252842 256848 259849 263851
      265852 267856 271863 275872 279888 282896 286902 294914
      296918 297922 298931 301938 303940 305938 307935 310935
      314939 321943 330943 332941 332936 332930 331926 327910
      323901 327895 331888 333885 333880 330874 333867 338862
      342858 353848 357843 361836 364832 364829 367820 370813
      375805 377802 379805 381808 380814 382821 385827 389836
      393840 395843 396848 394855 385868 381875 379882 378889
      379894 381898 385900 388900 393899 397899 399901 405904
      410908 414917 418922 420924 424924 430919 433913 436907
      438898 441891 459918 467918 472912 477895 477881 474874
      473868 472861 472856 473850 473841 474832 473819 474809
      473795 474790 477790 483791 486793 491792 496787 501783
      507777 511768 514762 515756 517740
 0.01 493209 493203 492200 489199 485202 481206 478208 474210
      462208 458209 455213 447216 445221 450224 455224 459221
      463219 467220 475219 483216 488215 492212 493209
 0.01 466237 461232 454232 447232 440232 436231 432231 430234
      429240 432243 436244 443245 450243 457242 463239 466237
 0.01 458202 459200 459197 459195 459192 460190 460188 460187
      458187 456189 455191 455194 453196 453198 453201 454203
      454204 456204 458202 458202
 0.01 404095 404093 403091 402093 402095 403096 404095
 0.01 392103 392101 391100 390099 388099 386099 385099 385100
      383101 383102 381103 382105 383106 384108 384111 385112
      386111 387110 388109 388107 389105 390104 391104 392103
 0.01 368122 369120 368119 367119 365119 363118 363119 361120
      361121 361123 363124 364124 365123 366122 368122 368122
 0.01 370102 371100 371097 371096 369097 369098 368099 368101
      370102 370102
 0.01 354117 349109 348103 345096 344092 343085 345080 343078
      342074 340073 335073 330075 327072 320071 319077 317082
      308087 303090 300095 299099 302106 309113 302113 296115
      293119 292126 293129 296129 302127 307126 313127 319127
      323124 322118 319117 319114 320111 323109 326110 329111
      334114 335119 335126 340124 346117 354117
 0.01 334060 334058 332055 330055 329055 327055 325055 325057
      326059 328060 330060 332060 334060 334060
 0.25 516087 518081 517075 512069 510067 506068 502074 499082
      496092 494102 496111 500113 504111 507104 510097 515090
      516087
 0.25 510152 510145 510141 508131 506128 503129 497134 492137
      492142 493145 494156 495159 494163 491165 491169 495171
      497169 502163 507157 510152
 0.25 497673 497669 495666 491661 487658 482655 476657 471661
      466667 462673 460679 459687 454698 450704 446712 441723
      435734 431740 426742 422747 418754 418761 421768 421774
      418779 411789 407794 404802 404810 404818 404827 406835
      409848 411858 412868 414876 416882 420889 423893 427895
      430893 433890 435884 437876 440875 443876 448879 453882
      457878 455870 453864 450856 449848 449839 447831 448822
      449815 455804 456797 454788 451780 451775 450760 459765
      464768 470768 477765 482760 488748 492735 495728 496721
      497713 497701 496685 497673
 0.25 497036 496028 493023 490020 484017 480018 475021 471025
      467029 466033 469035 476036 482037 487039 494040 496039
      497036
 0.25 435835 436833 436830 436828 434826 433828 433830 432831
      432833 432835 432838 433840 434837 435836 435835
 0.25 418027 416022 413020 407020 402021 398022 395025 396030
      400034 404033 408031 412030 417029 418027
 0.25 394078 391066 393060 393054 385045 378046 374049 375054
      381056 385060 385063 382062 380064 378069 374074 373077
      373082 375087 380091 384088 386086 386082 385077 387075
      391079 394078
 0.25 325883 325878 323875 323872 323868 324864 324860 322858
      317859 312863 308869 305877 301877 299874 295868 291867
      291872 293880 296887 301892 301898 301903 301909 302914
      304917 317917 315912 316905 318897 322890 325883
 0.25 283823 280813 279806 279798 279795 277792 271792 265794
      262797 250798 246802 246809 251816 255820 257826 258830
      261835 265838 271838 276836 279832 282828 283823
 0.50 489688 489676 487670 485668 478666 473668 468674 466682
      463690 460698 453711 452720 452733 454738 456740 462744
      467748 470749 474748 478743 483737 486730 489721 491714
      491707 489701 489688
 0.50 443747 443745 443744 441743 439743 437745 437746 436747
      435749 435751 435752 434754 435756 437757 439757 440756
      442755 442754 443752 443749 443747
 0.50 451869 449865 447860 446853 447846 445840 443839 441841
      439846 438851 438859 440865 442868 445871 449872 451869
 0.50 444790 440772 438766 437763 435764 433768 423779 415790
      412797 410806 411814 414823 415834 418843 419840 419837
      420827 421819 424816 426814 432809 436804 441798 443794
      444790
 0.50 433876 433868 431862 427856 423853 418849 416856 416865
      417875 420879 424883 430883 433878 433876
 0.50 382076 381074 379074 378076 376078 376079 375080 375081
      376082 377084 379084 380083 381081 381078 382076
 0.50 312899 312896 312894 311893 311892 310890 309889 308890
      307891 307892 306895 306896 306897 306899 306901 306903
      308904 310903 311901 311900 312899
 0.50 279823 279819 277817 275811 273810 269810 263808 259803
      254802 252804 252808 255813 259817 262821 265827 265829
      269830 276828 279823
 1.00 481716 481712 480708 476707 473707 468709 465711 462715
      462720 465724 468726 473724 476721 479719 481716
 1.00 433787 432782 429784 426787 423789 419793 417797 416802
      419805 424804 426800 428796 431793 433788 433787

$$




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