Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 130935
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
535 AM EDT FRI OCT 13 2017


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID OCT 13/1200 UTC THRU OCT 16/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1...

...UPPER MIDWEST...

A POSITIVELY-TILTED TROUGH WILL PIVOT EASTWARD ACROSS THE
NORTHERN-CENTRAL GREAT BASIN AND ROCKIES FRIDAY AND FRIDAY
NIGHT...THE RESULT OF WHICH WOULD FAVOR DOWNSTREAM HEIGHT RISES
ACROSS THE CENTRAL U.S. AT THE SAME TIME HOWEVER... THE SHORTWAVE
TROUGH THAT WILL TRAVERSE HUDSON BAY-JAMES BAY WILL IMPINGE THE
UPPER LEVEL RIDGING OVER THE UPPER MS VALLEY. THIS WILL MAINTAIN A
FAIRLY FAST UPPER FLOW PATTERN ACROSS THE UPPER MS VALLEY INTO
SOUTHERN CANADA...THEREBY LEADING TO ENHANCED RIGHT-ENTRANCE
REGION UPPER JET FORCING (UPPER DIVERGENCE AND LOWER LEVEL FGEN)
COINCIDENT WITH THE ENSUING LOW-MID LAYER WARM/MOIST ADVECTION
AHEAD OF THE LARGE SCALE TROUGH. PWATS CLIMB TO 1.5-1.75" ACROSS
MO INTO SOUTHERN IA AND MUCH OF IL....WHICH IS ROUGHLY 2.5-3.0
STANDARD DEVIATIONS ABOVE NORMAL FOR MID OCTOBER. THE GUIDANCE
(BOTH GLOBAL AND HIGH-RES CAMS) CONTINUE TO SHOW THE MAJORITY OF
PCPN BETWEEN THE SURFACE AND 850 MB FRONTS OVERNIGHT FRI-SAT
(00-12Z SAT)...WITH LITTLE EVIDENCE OF ACTIVITY FARTHER SOUTH INTO
THE WARM SECTOR (CONVECTIVE INHIBITION APPEARS TO BE ALIGNED
FAIRLY WELL WITH 700 MB 8C 700 MB ISOTHERM). GIVEN THE SCANT
INSTABILITY TO WORK WITH WITHIN THIS CORRIDOR (BETWEEN SFC-850 MB
FRONTAL BOUNDARIES)...I.E. WITH MUCAPES GENERALLY 200-600 J/KG PER
THE ECMWF/GFS...ONE CAN UNDERSTAND WHY THE HIGH-RES CAMS ARE NOT
PARTICULARLY BULLISH WITH THE RAINFALL AMOUNTS THROUGH 12Z SAT
DESPITE THE FAVORABLE FORCING AND RAPIDLY IMPROVING MOISTURE
PROFILE.

IN TERMS OF THE QPF...WPC UTILIZED A MULTI-MODEL BLEND
INCORPORATING CONTINUITY (PREVIOUS FORECAST) ALONG WITH THE
NBM...WRF-ARW...PARALLEL WRF-ARW...PARALLEL HREF MEAN...AND
HIGH-RES VERSION OF WPC`S BIAS-CORRECTED ENSEMBLE. EVEN AMONG THE
HIGH-RES CAMS NOTED FOR THEIR HIGH QPF BIAS...THE HIGHEST 12 HR
TOTALS WERE ~1.5" (WRF-ARW AND NMMB)...OR ABOUT AN INCH LOWER THAN
THE 6 HOURLY FFG. BASED ON THIS ALONG WITH THE MOST RECENT
NATIONAL WATER MODEL SOIL MOISTURE FORECAST...FOR THE TIME BEING
WILL REFRAIN FROM INCLUDING A MARGINAL RISK AREA FOR EXCESSIVE
RAINFALL.

HURLEY


DAYS 2/3...

...NORTHERN/CENTRAL ROCKIES AND ADJACENT HIGH PLAINS...

A LONG WAVE TROUGH WILL BE EMERGING FROM THE NORTHERN/CENTRAL
ROCKIES AND MAKING ITS WAY OUT OVER THE ADJACENT HIGH PLAINS ON
DAY2.  THE SYSTEM WILL HAVE LOST MUCH OF THE MOISTURE IT BROUGHT
IN FROM THE PACIFIC AS IT CROSSED THE THE VARIOUS MOUNTAIN RANGES.
 EVEN SO...THERE SHOULD BE LIGHT PCPN LINGERING OVER PORTIONS OF
MT/WY EARLY ON BEFORE THE FOCUS SHIFTS ENTIRELY EAST OF THE
MOUNTAINS.  GIVEN GOOD MODEL AGREEMENT...CONTINUED TO FOLLOW A
BLEND OF THE LATEST GFS/ECMWF.


...UPPER MIDWEST TO CENTRAL MISSISSIPPI VALLEY THROUGH THE GREAT
LAKES/NORTHEAST...

A LONG WAVE TROUGH TRACKING FROM THE NORTHERN AND CENTRAL PLAINS
ON DAY 2 REACHES THE GREAT LAKES AND OH VALLEY DURING DAY 3 AS IT
BROADENS. MOISTURE AND INSTABILITY AHEAD OF A COLD FRONT
ASSOCIATED THE LONG WAVE TROUGH FEED CONVECTION THAT PRODUCES
HEAVY TO LOCALLY EXCESSIVE RAINFALL FROM THE MID MISSISSIPPI
VALLEY TO THE GREAT LAKES ON DAY 2.  WHILE SOME TIMING DIFFERENCES
REMAIN REGARDING THE PLACING FRONTAL BOUNDARY ACROSS THE OH VALLEY
INTO THE NORTHEAST ON DAY 3... THERE WAS ENOUGH CONSENSUS TO ALLOW
THE WPC QPF TO BE CREATED FROM A BLEND OF THE 00Z ECMWF AND GFS.

SHOWERS WILL SPREAD EASTWARD INTO PARTS OF THE EASTERN LAKES AND
THE NORTHEAST ON DAY 3 IN ASSOCIATION WITH THE COLD FRONT.  THE
AMOUNT OF MOISTURE AHEAD OF THE FRONT WILL BE DECREASING AS THE
FRONT PUSHES EASTWARD...SO THE WPC MANUAL QPF DECREASED
ACCORDINGLY.  AS SUCH...THE RISK OF EXCESSIVE RAINFALL DROPPED OFF
AS WELL.


...MID ATLANTIC...

AFTER A BATCH OF DEEPER MOISTURE MOVES OFF SHORE EARLY ON DAY
2...THERE SHOULD BE A PERIOD OF LITTLE OR NO PRECIPITATION THAT
LASTS THROUGH MUCH OF DAY 2 INTO EARLY DAY 3.  AT THAT POINT...LOW
LEVEL BECOME MORE SOUTHERLY AHEAD OF THE NEXT COLD FRONT.
MOISTURE VALUES INCREASE...WITH PRECIPITABLE WATER VALUES CLIMBING
BACK TO AT OR SOMEWHAT ABOVE AN INCH.  THE NAM WAS THE SLOWEST OF
THE GUIDANCE...SO A COMPROMISE VALUE SOMEWHERE BETWEEN THE GFS AND
ECMWF WAS USED.


...GULF COAST/FL...

WEAK WAVES IN AN EASTERLY FLOW ACROSS FL AND THE GULF COAST TAPS
DEEP MOISTURE AND INSTABILITY THAT FEED CONVECTION WITH LOCALLY
HEAVY RAINFALL...ESPECIALLY ACROSS FL DURING DAY 2.
OVERALL...THERE WAS GENERALLY GOOD MODEL AGREEMENT CONCERNING THE
SYNOPTIC SETUP...SO THE WPC QPF WAS BASED ON A BLEND OF THE 00Z
ECMWF/GFS.

GRAPHICS AVAILABLE ON THE WEB AT
WWW.WPC.NCEP.NOAA.GOV/QPF/QPF2.SHTML

HURLEY/BANN


24HR QP VT 14/12Z
 0.01 539189 539180 538174 531162 528156 524152 519146 515143
      507133 504130 501125 498111 497097 496091 496084 496074
      497063 497046 499029 506999 508982 508973 507967 506964
      503964 500967 494980 493983 490984 483985 480985 478987
      475991 472998 471006 473013 476010 479005 482002 485998
      484005 483010 482019 481027 479038 478045 478051 476054
      472068 469072 468078 465094 465099 463100 459096 458088
      458079 460072 461065 461062 457061 454061 452059 448063
      445065 438067 433070 434073 439073 447080 449084 448090
      446092 442091 438091 421093 419088 419090 417092 417096
      416104 414106 411106 409100 407105 406114 405122 405126
      407128 411128 416131 416136 414139 411145 413151 412157
      412164 416170 417177 416184 422207 422213 420220 418227
      419231 421233 424235 423241 423245 424248 425254 430258
      435261 439264 445265 450265 460260 460256 458249 458244
      463242 476245 480240 479235 478233 474231 471233 469234
      467232 469227 472224 477225 482229 487231 492230 496227
      499224 502220 503215 504213 506202 502189 501183 502179
      505172 506166 509161 516169 520173 523178 526183 529188
      532191 536191 539189
 0.01 503733 500706 493699 490696 488695 486696 474699 468701
      465700 465696 462692 462688 463685 464682 462679 459677
      455676 453679 449688 448703 447707 442710 439712 437716
      438726 431730 429731 429738 426746 424748 422747 420745
      412740 409742 406745 404747 404744 405739 403739 396742
      389747 384748 380748 374744 376733 378728 381723 382717
      380711 378709 374709 367711 360709 351711 348717 345726
      343736 339746 326762 320769 316776 314781 313786 309797
      306806 307811 309815 313822 316825 320824 323822 324818
      323806 326798 327788 328782 331779 338772 342769 349768
      353769 356773 361781 367787 371788 372790 371792 363795
      359796 356799 351806 346809 341810 337815 334825 335832
      337835 341838 342841 345839 348837 352837 355835 358830
      358824 365818 373814 377810 380805 382800 381793 378791
      374788 376785 380783 387786 394787 405786 408784 412782
      419776 423775 425772 428772 433773 435776 431785 428788
      425793 420801 419806 421808 427803 442791 444789 447790
      447794 439799 432805 430809 427811 425815 421818 418825
      421825 424822 430817 437814 436818 434823 425842 421851
      415861 411869 408880 403897 400906 398919 396928 394940
      392951 391957 389961 382977 373998 370007 369010 374013
      376014 379012 382009 387002 393997 400995 405993 407989
      412982 420965 425955 428945 432945 434942 438933 440928
      441922 444909 445903 445896 445889 443884 443880 444877
      445871 447865 450860 465824 467828 467835 467838 466841
      464843 463847 462854 463856 465856 470850 474860 479867
      483870 485871 491869 494864 496860 494854 484839 481834
      479828 480814 479799 478794 476788 479779 483771 492756
      503733
 0.01 487200 486194 483189 477183 467181 464183 461185 455191
      453203 455212 459207 464209 467208 471205 475205 482201
      487200
 0.01 446177 447175 446172 445169 443169 441169 439169 438170
      437170 436172 436174 437177 438180 440180 442179 443179
      443178 445178 446177
 0.01 443125 441120 439117 436117 432121 430125 428132 426141
      427148 427153 429149 430142 433135 435133 438133 441127
      443125
 0.01 437009 438999 436993 434992 431999 428006 425013 424019
      423022 422034 426039 430033 432025 435016 437009
 0.01 404748 402746 401747 399747 398749 397749 396752 398753
      399752 401752 402751 403749 404748
 0.01 404815 402815 398816 397818 393819 392821 390822 388824
      387827 387829 389829 392826 394824 395823 399821 400818
      402818 404815
 0.01 360014 360007 360000 358000 355004 353007 350011 347015
      345017 341021 341024 347024 350022 354020 358018 359016
      360014
 0.01 357038 352039 349040 347040 346037 346034 343032 339032
      337034 336037 333039 328043 324048 324055 319060 313062
      307065 305067 300066 293068 286068 277068 269067 255062
      250059 245060 243062 243066 245069 250073 259082 264087
      271090 285094 294095 298095 302093 304092 308092 312088
      313078 315073 317071 319069 323068 326068 330067 335064
      339058 349050 352047 354043 357038
 0.01 300808 300801 298796 295792 295788 295781 293773 287768
      281767 275767 273771 272777 271782 270785 266785 260786
      256785 249785 245788 240795 235804 233809 232814 233819
      233825 235830 238833 240837 245840 249841 255840 262841
      268839 272837 274832 276827 279823 286818 292816 297813
      300808
 0.01 288024 289020 289016 287016 283015 281016 278017 276017
      272019 270021 270022 274022 276024 279024 283025 287025
      288024
 0.01 283981 283976 280974 270973 270968 268963 265956 265944
      265939 264935 263931 260927 256927 253927 250931 249935
      247943 244963 237975 238979 238985 238990 240992 243994
      249995 257994 273989 280985 283981
 0.25 497149 497141 496137 493132 492127 491121 491114 491109
      488108 489121 486127 481127 478127 473128 472133 472139
      482143 484146 486151 488154 489156 492156 497149
 0.25 483217 483214 482213 481212 479211 477211 475212 473214
      473216 475218 476219 478219 480219 481218 482218 483217
 0.25 497008 497000 495996 493000 492008 491013 490020 489025
      488033 489040 492036 494031 495026 496018 496010 497008
 0.25 483163 483159 481158 477153 473148 469145 466143 463143
      458145 457150 456156 461159 466162 468165 471167 476165
      481165 483163
 0.25 490058 490056 490053 491051 490048 489050 488051 488053
      487055 487058 487060 488061 488060 490058 490058
 0.25 456221 455219 452216 446215 442215 437215 431217 427219
      425220 424222 425224 430227 435231 439234 443230 447226
      451223 456221
 0.25 455110 456105 455100 454098 452095 448096 446097 443097
      439097 438100 438105 437110 440112 442113 445114 448115
      451114 454112 455110
 0.25 440156 441154 441151 440150 438150 438151 437153 437155
      437156 439157 440156
 0.25 426189 427187 426189 426189
 0.25 434871 434861 432858 430856 426857 421862 415873 411887
      405915 402929 401935 401945 401954 400963 398971 399975
      401975 405971 409965 410949 411942 413935 415936 414945
      414954 415959 419956 421950 424935 426931 428923 431916
      432909 433901 432893 430886 431881 434871
 0.25 372731 372724 369721 362724 358727 357730 354739 348745
      343752 342757 344761 349762 354761 363762 365762 368757
      367746 371737 372731
 0.25 384995 385993 385990 384989 382990 380992 378995 377997
      377999 376001 376003 378005 380004 381001 382999 383997
      384995
 0.25 321793 321792 319791 318793 317794 316796 316798 316799
      315800 315802 315804 316805 318804 319802 320801 320799
      321797 321795 321794 321793
 0.25 299082 298077 296075 293074 285074 278073 271072 267072
      265074 269079 274082 279084 286086 293086 298084 299082
 0.25 291807 292803 291799 290791 289785 289782 287781 284779
      282781 278786 276791 273795 270802 272810 275811 278811
      284810 289809 291807
 0.25 263817 264815 264813 263811 262809 260809 258810 258811
      258813 257815 258817 259818 261818 262817 263817
 0.25 254806 254800 253796 249796 244799 239805 237812 236820
      237825 238828 241829 243829 246826 247823 249816 253810
      254806
 0.25 259974 259971 257968 255967 253968 250970 248972 247974
      247978 249980 250980 253978 255977 257976 259974
 0.50 492142 493140 492138 492137 491135 490134 489133 488133
      487134 486134 485136 485138 487140 488142 490143 492143
      492142
 0.50 443223 444220 443219 443218 442217 440217 438218 437218
      436219 435220 434222 436224 437225 439226 441225 441224
      443223 443223
 0.50 427909 427907 426906 424905 423907 422909 422912 421914
      421917 421919 422921 422922 424921 425919 426918 426916
      427914 427912 427909 427909
 0.50 423884 424879 423874 419874 415879 413887 412894 414900
      413907 416910 420905 422899 423891 423884
 0.50 362751 361747 360745 357744 354745 350746 348748 347751
      346754 348758 350758 353758 357758 360756 361754 362751
 0.50 287083 287081 285079 284078 283077 282076 281075 280075
      278075 276074 274075 273075 274076 275077 276078 277079
      279080 281081 282082 283083 284083 286083 287083
 0.50 286804 286802 285800 285799 283798 283797 281796 279797
      277798 275797 274799 274800 273801 274803 274804 276805
      278803 280804 281804 283804 285804 286804
 0.50 244819 244817 244815 242813 241813 240814 239815 239817
      239819 239821 241823 243823 244821 244819 244819
 1.00 356752 355750 354749 352750 351751 352753 353754 355754
      356752

24HR QP VT 15/12Z
 0.01 541203 540195 537188 534182 529177 521169 516164 513167
      507166 504170 505174 504179 503182 502189 502196 506200
      508203 507206 503215 499217 493217 491219 491224 491235
      488235 485233 480231 477230 474232 474236 471239 467241
      465248 463253 463259 462266 463273 465279 467285 470294
      473305 477312 478315 481317 486319 491317 496315 501310
      506305 508302 511297 524262 524259 525257 526255 526252
      527250 528247 529245 529242 530241 531240 531238 532235
      533233 534230 534228 535225 535223 536221 536220 537218
      538216 538215
 0.01 431121 437114 442111 447109 451104 450099 452095 454090
      458080 457074 454068 450067 447062 448048 448041 447036
      443033 444026 447022 449017 458013 477004 480002 486003
      497003 513976 523908 524796 522795 523792 518733 502699
      485681 474674 465672 460673 455676 455683 455688 454692
      452696 447704 444715 443720 440725 436726 434725 435722
      435711 435705 432699 430694 428689 423679 418677 415681
      414687 415694 419698 420700 420704 415711 411714 409709
      408704 404705 401711 398720 392722 387723 382723 378723
      367725 362725 358722 352719 348721 346727 345732 342736
      337745 334754 332766 334771 337773 340774 343777 349776
      352776 355777 363776 370777 378778 383777 386774 385770
      387768 390767 396766 399763 401761 402767 407775 415779
      427777 434775 436777 435780 433791 430805 427816 419834
      415840 410845 405852 400859 380888 373899 368908 362916
      357925 352934 349937 345939 336943 332944 329947 319957
      315963 312974 307991 305003 303015 302023 301028 300037
      300045 300048 298050 294054 286061 277064 272065 268064
      262062 259066 258071 256073 257076 261081 267086 274091
      278094 283096 293096 301093 307089 311082 313075 318076
      322073 325068 334062 337058 336054 333049 328048 324046
      320047 317049 314049 313045 319040 323033 330018 332014
      336013 347013 355009 359007 362003 365999 369001 370003
      379000 389997 398993 403986 409980 417974 426973 429981
      428987 426989 424992 420994 412998 408000 406002 404007
      404014 405018 407021 416027 414039 412043 409047 406051
      404053 404057 403065 403070 405076 408079 410082 412086
      412091 411093 413094 416095 418098 419101 419103 419109
      424117 426120 431121
 0.01 496148 495143 491137 488133 486131 483130 478127 471125
      470127 472131 472133 476135 482138 485141 488147 489150
      491148 496148
 0.01 472156 472151 471148 470145 468145 465142 463141 461143
      461146 460151 462151 465152 467155 470156 472156
 0.01 401048 401046 397045 394045 390045 388045 385047 384049
      385052 386054 390054 392053 395053 397053 399051 401048
 0.01 385749 384747 383745 381746 379746 378748 378749 377751
      376753 378755 380754 382754 383752 383751 385749
 0.01 316065 317063 315060 314058 313060 313062 312064 312066
      313068 315067 315066 316065
 0.01 302810 302804 302801 301796 298794 297790 294786 291784
      285785 283783 279784 268784 254786 248787 244789 240792
      237797 235802 236806 237811 237818 238822 241824 243829
      247835 252841 263844 268845 271844 277839 284844 288846
      294844 297841 299837 299830 299826 300823 300815 302810
 0.01 296956 296951 294949 288945 284945 281943 277943 274943
      268947 266956 257967 253979 249979 246977 242977 239979
      237984 239986 244988 251989 259987 277987 282984 283980
      284974 292963 296956
 0.25 535215 537204 535197 531192 527189 522189 520191 519196
      519204 521212 523219 526223 531224 534217 535215
 0.25 518273 520265 520256 518252 515246 507239 504236 502236
      500238 496252 494259 492264 489269 488275 490281 493287
      499296 504298 507294 513285 518273
 0.25 504782 502771 499760 491737 488726 485710 482702 478699
      474697 469696 463699 460709 458722 455731 450741 447753
      443767 441779 437797 432819 428831 423839 412860 407866
      402873 390888 385895 380905 373914 368923 363930 359939
      355948 350956 339973 336978 335982 341984 339989 340994
      343997 346998 350997 358994 366987 373980 382972 388967
      391977 394980 397979 403972 408966 415959 429942 436933
      438929 442927 445934 447946 447953 446960 445966 443971
      442978 443986 445995 448999 453999 457996 464991 470986
      476980 477975 479968 479961 481957 486944 490929 491924
      493918 495912 495906 496899 495893 493883 493878 494871
      497858 500843 502827 503798 504782
 0.25 331999 330995 328993 324994 322998 321003 319007 318013
      317018 318023 321022 325018 327014 328010 329005 331999
      331999
 0.25 301080 302077 300075 294073 288072 282073 276073 273074
      270077 273083 279085 286085 292083 297083 301080
 0.25 292801 291799 288798 286797 283798 281798 279798 277799
      277803 278805 280807 284808 285808 287808 291805 292803
      292801
 0.25 281827 279821 275816 269813 266806 262803 270800 272797
      269794 266794 260792 251792 246797 243803 242809 244819
      247824 252828 258829 261827 263823 266819 270821 272824
      276828 279829 281827
 0.50 532214 533211 534209 534206 533203 532201 531200 530199
      529199 527199 527198 526198 524199 523200 523203 523204
      524206 524208 525209 526210 527212 529214 530215 532214
      532214
 0.50 515277 518268 517259 514254 509251 505253 502259 500267
      497273 496281 500287 504289 508288 513282 515277
 0.50 493774 493767 492763 489758 486753 479747 476744 473739
      473735 475728 475725 473723 470728 468734 463736 459741
      456747 453756 449765 446777 443788 436811 433827 428838
      420853 412874 407884 402892 391897 383907 373921 366930
      362937 362952 359958 359963 357963 359970 363972 369972
      375967 381961 384956 387952 394946 399966 404964 409961
      414954 419946 423937 428926 432917 437906 441894 447882
      450872 455863 460854 464843 466832 470831 471838 470845
      468849 465855 463861 460876 457885 455898 454914 455929
      459942 456957 453973 452982 453989 456990 458989 461988
      469982 471977 470972 468966 470960 470955 469951 469945
      470938 472932 474927 477921 479912 480907 483895 486884
      488870 490857 493792 493774
 0.50 251808 251806 250805 249806 248806 248808 248810 249812
      249814 250812 250810 251810 251808
 1.00 511276 511274 509274 509275 509276 510277 511276
 1.00 479839 480837 479834 479835 478837 477837 477840 476842
      476843 477845 478847 478845 479842 479839 479839
 1.00 477857 478851 476846 473854 471863 470873 468883 466890
      465900 466903 469902 473895 476887 477884 477877 476872
      476865 477857
 1.00 471791 471785 470779 467777 465780 459786 455796 452803
      447808 444816 440827 424856 419872 415881 411889 407896
      405903 405913 407919 409926 406943 405947 405952 409952
      412947 419934 423927 427916 439882 446867 453849 457830
      458825 460822 463819 465814 471791
 1.00 379941 378942 378943 379943 380942 384937 387933 387931
      389929 392925 393922 392921 390923 389925 387929 385931
      383934 380939 379941
 1.00 377947 377946 377947 377949 377947
 1.50 445853 445849 443846 442843 440844 436847 432852 429857
      426864 428868 427873 423879 417889 410898 411906 413908
      417908 425900 431890 437878 439873 440866 445853
 1.50 421924 422919 419917 418917 416919 415921 414925 412928
      411931 412935 414933 417931 419929 420926 421924
 2.00 427888 425888 424888 423890 423891 422893 424893 425892
      427890 427888 427888

24HR QP VT 16/12Z
 0.01 471620 472624 475626 480625 485625 489628 493630 497635
      502642 505650 508657 511666 513677 519708 521729 522738
      524746 525761 525778 524794 524804 523809 521819 519827
      515840 510854 506865 505871 507879 510890 511899 510903
      508903 501896 498890 496886 493889 487899 478908 470913
      464913 462913 460910 456901 454894 451887 449882 448875
      445861 444851 444845 445841 440838 433838 426846 420853
      414863 402881 387902 380911 373918 367926 361932 357936
      351939 343932 344927 344918 347906 349899 349897 347895
      345898 342902 338904 332913 330915 326913 324907 324897
      321891 318890 325880 329868 332854 335843 339833 343825
      350813 356803 366782 369777 363778 359781 352781 350778
      353773 359765 368759 370756 370751 372745 376735 378729
      381722 392703 397695 403685 429645 439631
 0.01 231986 238988 241991 242996 247006 250012 255015 265022
      277028 286040 290047 287053 285056 283055 281052 278050
      271052 264055 260058 256063 254065 254069 258074 266081
      282089 286090 291090 296086 300081 301073 308060 311054
      315047 318041 322036 325031 327024 327007 326003 323000
      322997 321992 331981 336977 340972 341968 341964 336958
      330956 321955 308960 302968 300968 299965 296960 292956
      290956 287962 285957 283955 277958 274959 273957 272954
      274948 283938 288934 296931 300928 304923 308918 310912
      313898 312877 313866 314857 317852 317842 314834 309826
      300800 296796 294795 295792 296788 299786 307784 319778
      333770 343761 354751 362738 363732 362724 355726 350729
      345734 340737 330746 322751 320754 316755 307756 300757
      283755 269751 258747 254744 250743 246743 239744 234746
      231753 234760 238766 243770 253776 259780 266782 272785
      274786 275788 272789 265791 258790 245789 241789 240791
      238792 236796 237803 238812 240820 243824 246832 251839
      263846 271859 279867 281871 279875 277877 277882 278898
      278909 278914 275916 264925 262927 259927 255925 250925
      246927 242931 242938 240942 232946
 0.01 542191 531184 526169 523163 519156 518153 515152 512152
      512157 512161 511163 507162 505161 501159 499160 498163
      499167 502173 503178 502184 505190 510195 514201 516209
      521212 524219 529223 534223 536222
 0.01 526252 523244 518236 513230 509222 505215 502212 499212
      495213 493215 492222 490227 484245 482247 481252 480259
      478264 476276 476282 476288 475295 475299 475304 477310
      481316 487316 498307 504304 510298
 0.01 515145 516142 516140 516137 515136 514134 514133 512133
      511133 509135 507135 506137 504137 504138 505140 505141
      507141 508143 508144 510144 511145 513145 515146 515145
 0.25 520269 520260 518252 515245 511240 507234 502228 499229
      497232 496238 496244 496247 494249 490254 487262 487270
      489286 490294 493297 496296 501293 506291 510288 515283
      518275 520269
 0.25 529199 529195 528192 527189 525186 524184 521181 519180
      517180 516185 517188 518191 520194 522197 524199 525201
      528202 529199
 0.25 514730 513710 512702 511693 507677 504668 501661 498654
      495650 487645 479642 473646 468650 461652 458656 457663
      459671 461678 461687 458692 456700 454712 450715 443716
      438719 436725 439738 441747 438749 432758 424765 422768
      422772 424774 428773 437765 441762 443764 446768 447774
      446781 445785 445789 448795 452797 461792 471792 476795
      478799 478805 473832 473842 475851 479856 484854 493847
      496845 500840 506830 508823 510815 512799 513784 513766
      514758 514749 514730
 0.25 425691 425684 422682 420685 418688 416693 414698 413703
      413706 417709 420706 422701 424696 425691 425691
 0.25 388804 381804 374807 366817 363821 360827 357835 357843
      354850 349855 347860 348865 351864 355860 358854 366843
      373831 375825 379819 382814 385808 388804
 0.25 304990 304988 304987 304985 303983 301982 299983 297985
      295987 295988 294989 294991 295993 297994 298994 299993
      301993 302993 304992 304990 304990
 0.25 302886 302876 300867 297859 294851 293849 289849 283852
      282857 284862 288868 291874 292885 293893 295896 298894
      302888 302886
 0.25 288081 288079 288077 287075 286074 285074 284072 283072
      282071 280071 278071 277073 278075 278076 279078 281080
      283081 285082 286082 288081
 0.25 232971 241972 248976 253978 253979 248988 248994 250998
      255004 261010 269014 274014 278014 282012 283007 280999
      275992 268987 264984 261984 256976 261970 263966 263960
      262949 262943 260941 254941 250942 243946 237952 235955
      232958
 0.25 271810 269808 267807 265806 261805 258806 256809 256812
      257814 258817 259819 263820 264818 266816 269814 271812
      271810
 0.50 516270 517263 517257 516252 513247 507241 502240 500245
      499252 496255 491260 490265 491271 493282 495286 499287
      506284 509283 513279 516270
 0.50 509726 508712 506700 501674 497666 493660 488654 483655
      479654 476656 473660 470667 471673 473677 474684 473690
      467705 463715 461725 459735 459745 459756 461760 465761
      480763 483765 486770 490775 492779 493786 492796 488816
      485826 485831 486837 488840 491838 497832 501823 504815
      507805 506798 503793 502781 502771 507750 508739 509726
 0.50 371822 370821 368822 367823 366825 367826 369825 369824
      370822 371822
 0.50 266003 267001 266999 266998 264996 262998 262000 263002
      264003 266003 266003
 0.50 259964 259960 257956 256949 252948 247950 244952 241955
      239959 241964 244966 248968 254968 257967 259964
 1.00 514266 514261 513255 511249 508248 506250 504257 502262
      498265 497271 499275 503277 507274 509272 513268 514266
 1.00 497696 496686 494679 491674 488676 486678 481690 476702
      470713 470721 471731 474736 480739 485740 490739 493736
      495729 497722 497713 497704 497696

$$





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