Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 210833
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
432 AM EDT FRI APR 21 2017


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID APR 21/1200 UTC THRU APR 24/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...

...SOUTHERN-CENTRAL PLAINS EASTWARD THROUGH THE TENNESSEE
VALLEY...LOWER OHIO VALLEY...AND MID ATLANTIC...

A SLOWLY EVOLVING UPPER TROUGH...ONE THAT WILL ELONGATE WITH TIME
AS IT BECOMES INCREASINGLY CONSTRICTED BY THE RIDGES NORTH AND
SOUTH...WILL COMBINE WITH FAVORABLE UPPER JET DYNAMICS (COUPLED
JET STREAKS) IN GENERATING ADDITIONAL HEAVY RAINFALL NORTH OF THE
SURFACE STATIONARY FRONT. WHILE NOT CORRELATED WITH THE STRONGEST
DEEP-LAYER INSTABILITY SOUTH OF THE SURFACE BOUNDARY...THE MODEL
CONSENSUS (BOTH GLOBAL AND HIGH-RES CAMS) IS FOR AN EXPANSIVE
SWATH OF 1+ INCH 24 HOUR AMOUNTS FROM EASTERN OK-SOUTHEAST KS
EASTWARD THROUGH SOUTHERN MO/IL...NORTHERN AR...AND WESTERN KY/TN.
GIVEN THE CLOSER PROXIMITY TO THE HIGHER FORECAST CAPES AND PW
VALUES...ALONG WITH THE DYNAMICALLY-FAVORABLE COUPLED UPPER LEVEL
JET STREAKS AND STRENGTHENING LOW-LEVEL MOISTURE FLUX (~2 STANDARD
DEVIATIONS ABOVE THE NORM)...THE MODELS APPEAR TO BE CONVERGING ON
THE HEAVIEST RAINFALL OVER THE AFOREMENTIONED AREAS WEST OF THE
MISSISSIPPI...PARTICULARLY OVER THE OZARKS IN NORTHWEST
AR-SOUTHEAST MO GIVEN THE UPSLOPE ENHANCEMENT. WPC UTILIZED A
NON-NAM/NON-SREF MUTLI-MODEL BLEND WITH THE QPF...LEAD BY THE
MEANS (INCLUDING HIGH-RES ENSEMBLE)...WHICH COMPARES FAVORABLY TO
THE PARALLEL NBM. THE NAM AND SREF MEAN WERE A BIT TOO FAR NORTH
WITH THE HEAVIEST QPF...FARTHER REMOVED FROM THE BEST INSTABILITY
AND PW...AND THUS WERE NOT UTILIZED. BASED FROM SOME OF THE
HIGH-RES CAMS... LOCALIZED HIGHER AMOUNTS OF 3-5" WILL BE POSSIBLE
WITHIN THE STRONGEST ELEVATED CONVECTION...ESPECIALLY OVER THE
SOUTHERN OZARKS.


DAYS 2 AND 3


...TENNESSEE VALLEY...LOWER OHIO VALLEY...MID-ATLANTIC STATES AND
SOUTHEAST...

A WIDESPREAD HEAVY RAINFALL EVENT CONTINUES TO APPEAR LIKELY THIS
WEEKEND FROM PORTIONS OF THE TN VALLEY EAST INTO THE MID ATLANTIC
AND SOUTHEAST. A COMPLEX SYNOPTIC EVOLUTION WITH A STRUNG OUT AREA
OF VORTICITY EVENTUALLY EXPECTED TO CONSOLIDATE INTO A CLOSED
MID/UPPER LEVEL LOW OVER THE TN VALLEY BY SUNDAY. THIS CLOSED LOW
WILL SLOWLY MOVE OFF TO THE SOUTHEAST THROUGH THE DAY MONDAY. AS
THIS SYSTEM MOVES EAST IT WILL INTERACT WITH A STATIONARY BOUNDARY
EXTENDING FROM WEST TO EAST ACROSS PORTIONS OF KY/TN INTO VA/NC.
THIS BOUNDARY WILL SEPARATE THE UNSTABLE VS STABLE AIRMASS. THUS
PRECIPITATION ALONG AND SOUTH OF THIS BOUNDARY WILL TEND TO BE
MORE CONVECTIVELY DRIVEN WITH HIGHER RAINFALL RATES. TO THE NORTH
OF THE FRONT RAINFALL WILL BE MORE SYNOPTICALLY DRIVEN...AIDED BY
INCREASINGLY DIFFLUENT FLOW ALOFT AND LOW LEVEL EASTERLY UPSLOPE
FLOW. PRECIPITABLE WATER VALUES ARE GENERALLY EXPECTED TO BE
AROUND 1.5 STANDARD DEVIATIONS ABOVE NORMAL WITH THIS SYSTEM...SO
WHILE HIGH...NOT NECESSARILY EXTREME. HOWEVER THE LONG DURATION OF
THE EVENT SHOULD HELP OVERCOME THIS AND PRODUCE MODERATE TO HEAVY
RAINFALL AMOUNTS.

QUITE A BIT OF MODEL SPREAD REMAINS WITH THIS SYSTEM...BOTH WITH
THE TIMING/SPEED OF THE CLOSED LOW AND AT WHAT LATITUDE IT ENDS UP
AT. TONIGHTS MODEL RUNS ALL GENERALLY TRENDED SLOWER WITH THE
SYSTEM. TOUGH TO REALLY SAY IF THIS IS A LEGITIMATE TREND OR A
BLIP IN THE MODELS...SO WILL HAVE TO SEE IF THE TREND CONTINUES
TODAY OR NOT. WITH REGARDS TO THE LATITUDE...THE NEW 0Z ECMWF
TRENDED NORTH...AND IS NOW ON THE NORTHERN EDGE OF THE MODEL
SPECTRUM ALONG WITH THE 0Z GEM. THE 0Z UKMET IS ON THE SOUTHERN
SIDE OF THE MODEL SPREAD...WITH THE 0Z GFS AND 12Z ECMWF GENERALLY
IN THE MIDDLE. AFTER EXAMINING TRENDS AND ENSEMBLE
INFORMATION...TOUGH TO REALLY THROW OUT ANY OF THESE SOLUTIONS AT
THIS TIME...EXCEPT FOR MAYBE THE 0Z NAM (WHICH APPEARS TO BE A BIT
TOO SLOW/WEST). TOOK A LOOK AT THE 0Z HIGH RES GUIDANCE...BUT NOT
REALLY A BIG FAN OF ANY OF THEIR SOLUTIONS AT THIS POINT...WHICH
IS NOT TOO SURPRISING GIVEN THE SYNOPTIC SPREAD. THUS WPC QPF
TRIED TO GENERALLY FIND A CONSENSUS OF THE GLOBAL MODEL SUITE FOR
NOW. THIS RESULTS IN A WIDE AREA OF 1.5"+ AMOUNTS ACROSS EASTERN
KY/TN INTO SOUTHERN WV...MUCH OF VA AND CENTRAL/WESTERN NC/SC.
CURRENTLY HAVE A 2-4" MAXIMUM ACROSS SOUTHERN WV...SOUTHWEST VA
INTO WESTERN NC THROUGH 12Z MONDAY. CONFIDENCE IS HIGH IN THESE
HEAVY TOTALS...BUT LOW WITH REGARDS TO EXACTLY WHERE IT ENDS UP
FALLING.

GIVEN THE UNCERTAINTY WENT PRETTY BROAD WITH OUR MARGINAL AND
SLIGHT RISKS ON DAYS 2/3. COULD SEE A FLASH FLOOD RISK DEVELOP
BOTH ALONG/SOUTH OF THE AFOREMENTIONED BOUNDARY WHERE INSTABILITY
WILL LEAD TO HIGHER RATES...AND NORTH OF THE FRONT WHERE GOOD
DYNAMICS AND PROLONGED UPSLOPE FLOW COULD LEAD TO HEAVY RAINFALL
TOTALS (ALBEIT LOWER HOURLY RATES).

...FLORIDA...

EXPECT TO SEE CONVECTIVE COVERAGE INCREASE ACROSS CENTRAL AND
SOUTHERN FLORIDA THIS WEEKEND AS A WAVE MOVES INLAND OFF THE GULF
OF MEXICO. THIS WAVE WILL BRING WELL ABOVE NORMAL PWAT VALUES INTO
THE FLORIDA PENINSULA...WITH VALUES POTENTIALLY APPROACHING THE
CLIMATOLOGICAL 95TH PERCENTILE. GIVEN THE ANOMALOUS PWAT
VALUES...AND FORCING FROM THE WAVE...COULD END UP SEEING SOME
PRETTY HEFTY RAINFALL TOTALS. CONTEMPLATED INTRODUCING A MARGINAL
RISK OF FLASH FLOODING. OPTED TO HOLD OFF FOR NOW...AS MODEL
GUIDANCE IS QUITE INCONSISTENT ON THE EXACT EVOLUTION OF THE WAVE
AND CONVECTION. THUS WOULD LIKE TO SEE A BIT MORE MODEL
AGREEMENT...BUT SOMETHING WORTH MONITORING.


...NORTHEAST...

LIGHT PRECIPITATION WILL LIKELY LINGER ACROSS NORTHERN NEW ENGLAND
ON SATURDAY AS A SHORTWAVE TROUGH PUSHES ACROSS. ALSO LIKELY TO
SEE ANOTHER ROUND OF LIGHT PRECIP SUNDAY NIGHT WITH A FRONTAL
PASSAGE. WITH MODELS GENERALLY COMING INTO PRETTY GOOD
AGREEMENT...WPC QPF IS A MULTI MODEL BLEND ACROSS THIS REGION.


...PACIFIC NORTHWEST TO THE NORTHERN ROCKIES AND NORTHERN PLAINS...

ONE WAVE WILL BRING PRECIPITATION INTO THE NORTHWEST ON
SATURDAY...WITH ADDITIONAL ENERGY MOVING INTO THE REGION BY LATER
SUNDAY INTO MONDAY. MODELS WERE GENERALLY IN CLOSE ENOUGH
AGREEMENT TO WARRANT A MULTI MODEL BLEND FOR QPF. THIS MIDDLE
GROUND CONSENSUS SOLUTION ALSO HOLDS FOR THE LIGHT QPF AMOUNTS
SPREADING INTO THE NORTHERN PLAINS AS SHORTWAVE ENERGY INTERACTS
WITH A LINGERING BAROCLINIC ZONE.


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

HURLEY/CHENARD


24HR QP VT 22/12Z
 0.01 524052 525043 526035 526021 527002 527992 526985 524979
      524970 525954 524943 523934 523925 524917 523902 521888
      518877 517873 514875 511887 510893 510899 507911 507915
      505921 503935 501946 500953 499959 497966 497975 495977
      495982 495991 494006 494023 494028 492031 492039 491055
      490061 486062 478061 475059 471058 456043 450038 447036
      442033 439029 436027 430022 425018 423015 417006 410998
      405990 404985 404977 404960 404946 404940 402935 401925
      400914 400902 401897 401889 401872 400857 397845 395835
      392822 392817 395813 399805 403796 408786 409778 410776
      413775 424773 427771 432769 437769 440770 443777 444781
      444784 443789 439801 438805 438812 440815 444817 450824
      453828 455832 461840 466849 470853 472852 478845 484836
      490825 493816 497807 506785 510776 510766 510752 509740
      508731 507726 503715 496686 495678 492669 487660 481652
      474648 467644 459643 455643 450644 442647 435652 429658
      426659 422663 419667 415665 411663 407665 400669 398674
      396680 396686 398691 400706 399713 398720 401731 401735
      399737 393738 389741 386738 380734 374733 368737 365738
      364735 363729 360725 356723 352725 350728 347738 343746
      339753 336764 336770 337773 339773 343770 347769 351772
      353776 351780 347784 346789 346797 346805 345809 343816
      340825 337832 332839 329845 328850 329862 331867 332874
      331881 330885 327889 326893 324898 324905 324913 320913
      315905 311901 308900 302901 298905 296911 298915 291949
      301956 306948 307944 310942 323930 326926 327930 326932
      323942 318950 313957 310962 306966 303977 302982 301986
      302990 302996 318990 335988 337995 339999 342001 350005
      355011
 0.01 355011 371041 372045 370048 373052 377055 380056 382059
      385062 384067 385074 391081 404080 412084 416091 421098
      423101 423105 422108 418110 418113 419116 422115 431117
      439118 443127 446137 446143 449146 450153 453156 457159
      459163 462162 466159 468160 473159 477160 496164 501168
      509170 512168 513161 516149 519122 521092 522080 520074
      520067 524052
 0.01 431246 431244 430243 429242 428241 426240 424240 423239
      421239 419239 418240 417240 416241 417243 418243 420244
      422244 423245 425245 427246 428247 430247 431246
 0.25 497740 497734 496727 495720 493717 490715 488712 486704
      475672 472670 468671 461676 455680 449683 443681 436678
      429676 426677 424679 419686 417691 416695 415703 414712
      417718 420721 421724 420732 421734 424736 431738 435737
      437735 441730 447724 453723 455727 455731 455742 459749
      476774 482779 485781 488781 492777 494768 495759 495751
      497740
 0.25 469095 469092 467090 466090 464084 462078 457070 450061
      443055 434051 430049 428046 423039 410024 402018 398015
      396010 390990 389978 390968 391960 392956 394950 394942
      392926 391920 392912 392899 391886 391863 390857 388852
      385848 383842 380837 379830 382819 384807 383801 380798
      378794 379789 381780 385772 385765 383760 377752 373752
      370754 367757 366770 364780 361788 360798 361806 359810
      354820 349843 349856 348867 343887 342897 340911 332932
      329942 326950 322960 321965 321970 323973 328974 333972
      336972 339974 342983 345987 350991 356994 362001 367011
      370020 374028 381036 385039 390043 398048 404053 407057
      412060 419063 426069 427074 427078 424083 424087 425089
      431097 434099 437098 441094 444105 447107 452108 454105
      458103 460101 458098 461094 465093 469095
 0.50 489726 481723 479720 476714 478709 478702 474690 472684
      471681 469680 465682 461686 456693 451695 445696 440698
      434699 429702 427705 425707 426711 428714 434715 439713
      442713 447710 455705 459708 461713 463721 464727 466733
      469739 472751 475753 480756 483756 485753 488749 488740
      488733 489729 489726
 0.50 456086 457081 456077 453072 449068 445065 438063 433066
      432069 432073 433080 437086 440084 444081 449084 454087
      456086
 0.50 423053 422048 420043 415036 409031 402026 393024 389026
      388031 389036 393039 398041 401043 406049 410053 413054
      418055 421054 423053
 0.50 389943 387933 387918 388906 387895 387871 386865 384861
      381859 378855 376843 374838 374831 375821 375816 373812
      370812 366814 360821 356829 355840 354851 352863 350873
      348881 345893 344905 342914 339922 335932 333942 330953
      329957 329962 332965 338966 342968 343973 346982 352987
      361990 364994 367997 371004 374008 378010 382008 384003
      385998 385993 382982 384972 385962 386954 389946 389943
 0.50 376764 375760 372761 369766 368770 368775 367782 369788
      373789 375785 375778 373772 373770 376765 376764
 1.00 450078 450075 448073 446072 445070 443071 441072 443073
      444075 446076 448077 449078 450078
 1.00 384945 385941 384938 382930 382924 383915 383884 382880
      381875 376872 370862 368861 365863 365872 363877 357876
      356873 354877 352882 351888 352894 353899 349904 349909
      348912 345917 340929 341934 340941 338948 339957 343960
      345965 347972 350978 354981 360980 364978 368973 370966
      374963 379961 380954 383947 384945
 1.00 371828 371824 370822 368822 366825 365827 364831 362834
      361836 361839 360843 362845 365846 366843 368840 369838
      369835 370831 371828
 1.00 363863 363861 363858 363856 362854 360854 358856 358857
      358859 357860 356861 356863 355865 355866 357868 356870
      356872 357874 358872 358870 359869 361867 362865 363863
 1.00 361910 361907 360906 358905 357907 355908 353909 352910
      351912 351914 351915 353916 355915 357915 358914 359914
      360912 360911 361910
 1.50 379938 379929 379918 379905 377895 377886 375883 372885
      369895 370902 369913 367917 364920 361922 355922 350923
      348925 346929 346934 345945 348967 349971 351975 356974
      359972 364965 367958 371951 374949 377947 379938
 2.00 371927 366926 362927 359926 353928 351934 352943 354948
      359950 361958 364956 365954 368949 370941 371934 371927

24HR QP VT 23/12Z
 0.01 530197 531189 529183 525176 523172 522168 520163 518161
      514152 508145 505145 503146 503151 507156 506159 503159
      500157 497153 493145 491142 487140 484138 480137 472133
      462131 454135 450138 445137 440136 434133 428134 422138
      418144 417147 420152 424153 427152 431156 431164 433176
      441191 439195 440198 443198 444201 446201 453195 460190
      463188 465182 469180 473176 487169 490170 492167 494171
      495173 493176 485189 479195 473205 467210 460212 446216
      438219 435220 432224 430228 427234 423234 418232 413231
      409232 403235 396237 389236 394243 401249 410253 421260
      429265 435269 448279 451282 456284 459287 462287 466287
      470285 478279 480275 484273 487280 490284 492284 496285
      499287 503290 507289 509286 512281 513272 514270 516264
      516259 515256 514245 511236 505220 504214 503207 502197
      509192 512192 514195 517198 525201 530197
 0.01 519766 517759 514755 510752 506750 499752 493754 489759
      486765 476785 473792 472801 471818 472823 470828 471835
      468850 464866 463873 462881 462891 461897 463912 463922
      465929 465939 466949 467967 470981 471990 472001 474016
      474026 477030 487033 489026 493030 495031 496029 498025
      499018 502004 502000 503996 504988 507970 511955 513946
      515940 517935 519929 519918 519911 517908 514892 510878
      509869 508862 507852 506845 505839 503837 502834 499836
      498832 499829 501822 503816 506813 512802 513793 516785
      518776 518768 519766
 0.01 500726 499715 499710 497707 491690 484676 479669 475662
      467652 461650 456647 449647 442649 437654 435662 434667
      432669 430675 427682 425691 428698 432703 437710 439712
      437717 439720 437724 434729 438731 442732 445734 446738
      444739 439744 435749 434759 435762 437763 439762 442759
      448755 454750 464742 472739 480737 492733 499729 500726
 0.01 489149 488147 486147 484148 483148 481150 482153 484153
      486153 487152 487151 489149
 0.01 482082 472073 468072 464069 457064 452060 447055 441050
      434049 430051 429053 427051 427046 426042 423034 418028
      412024 404023 397025 394027 389029 385044 370050 376053
      378056 382056 389055 393057 398058 402056 404058 406057
      406053 401052 399048 398046 400044 404045 412044 420045
      424051 427051 428054 426058 424062 424065 428067 431066
      436064 441065 446072 447077 449078 454083 461083 471084
      478085 482082
 0.01 472031 471026 471021 468018 466021 464028 462030 459032
      455035 452037 455039 458040 462038 465038 469036 472031
      472031
 0.01 445043 445041 445038 443036 441036 440035 440036 438038
      439040 440041 441043 443043 445043 445043
 0.01 430185 431183 429182 428185 427186 426187 427187 428187
      430185 430185
 0.01 425189 425188 423188 425189 425189
 0.01 414212 416205 414202 410204 409208 407213 402214 399215
      401219 400223 401226 405226 408222 410218 413214 414212
 0.01 401746 401740 399733 396727 394716 393713 389713 379715
      374715 371713 369709 364707 361706 358709 351723 344735
      340744 339755 338764 339773 341777 341781 342791 345798
      346802 345807 341813 338816 337821 331839 330844 327848
      323852 311860 304863 299867 297870 293877 290885 287893
      287903 288906 290909 291914 291919 290922 291927 293937
      288945 285954 282961 281969 281973 283974 286974 288977
      288981 292983 297984 301982 310967 314960 319955 324950
      327949 329947 330943 334939 338934 343927 346926 348928
      352932 359945 363952 368955 372956 377956 382952 388945
      390933 395894 398869 399860 400848 401828 401818 402808
      403797 402785 403781 402774 400758 399751 401746
 0.01 285823 285819 283817 281812 283806 284802 283798 282790
      280785 275772 273766 272764 269764 265764 259768 240780
      231785 219791 218796 216801 218808 221813 225817 227821
      228830 228838 228843 230849 230852 232854 238856 245855
      249853 256855 262854 267850 269846 277836 280829 285823
 0.01 276017 276003 278999 277989 277986 272980 270974 266969
      262965 258965 255967 251970 248976 248982 246985 242985
      238988 237991 238993 240998 245002 251005 256010 260013
      267015 272017 276017
 0.25 506282 508277 507273 506268 502252 504250 505243 502228
      500221 497216 493211 490210 486210 478214 479218 481219
      486223 488231 487235 484237 481235 478229 475228 472228
      468230 464228 463224 460222 456224 453228 444235 440239
      439242 442244 455248 465249 472250 478253 482257 486261
      490267 492273 498279 504283 506282
 0.25 465670 463664 461661 459660 456661 453664 448666 443668
      441672 443677 446678 450680 455678 458677 463673 465670
 0.25 427245 426242 426241 424240 422240 421240 419240 419242
      420244 421245 422246 423246 425246 427245 427245
 0.25 393743 393739 391737 387734 383731 379730 372729 369725
      366725 363726 358732 356737 356741 358742 367737 370735
      373736 372745 366755 358763 354772 351787 353802 353809
      352816 349827 344837 339852 336856 332860 325867 317875
      314882 316888 315897 315904 313909 315911 320909 324904
      329900 332895 337893 341894 344899 347902 360898 372895
      376907 380909 385907 387902 386896 383889 386881 389874
      390868 392856 394841 394826 395810 396796 393776 393757
      393743
 0.25 274824 274805 272803 268802 266801 264797 264792 263789
      259787 254786 251785 247786 241788 236792 233798 232806
      233820 237826 242831 246833 254834 267832 272828 274824
 0.50 504276 503270 501264 495254 491245 486243 484244 482242
      478233 473232 469235 467240 471245 476247 482248 486251
      489257 495267 497271 500275 504276
 0.50 499232 499227 498224 497221 495219 492217 490216 487215
      486218 488220 490221 491225 492228 493230 496233 499232
 0.50 392801 391791 390784 389765 388755 386747 385742 383740
      379741 378744 374756 369772 361780 355785 355793 356811
      357822 355830 352836 350841 346847 352848 352856 350862
      348866 349871 351879 354886 358888 366886 372883 377880
      381875 384868 386861 388853 388846 388826 391813 392801
 0.50 258824 259819 257813 256807 257797 254794 251792 248792
      244793 240797 236804 234812 235818 237822 239824 245828
      251828 258824 258824
 1.00 387802 382779 381773 379770 373776 366794 362802 362807
      362814 365821 363832 360845 362849 361853 361861 362867
      367872 371869 373864 375856 377844 379835 381830 381823
      383814 386804 387802
 1.00 247804 246801 244800 243801 241803 239805 238808 237812
      238816 240817 241820 244819 244815 243811 244809 246807
      247804
 1.50 382802 382795 380791 376788 374792 372796 370799 368804
      368811 369813 371814 377812 379809 381805 382802
 1.50 376832 375832 373834 371836 370838 368841 367845 367849
      367851 367855 369857 371854 372851 373848 373844 374842
      375839 376835 376832
 2.00 378800 378798 377796 377794 376796 375797 375799 374801
      373801 372803 372804 372806 373808 374807 376806 376805
      378803 378800

24HR QP VT 24/12Z
 0.01 529210 527198 526186 528176 525168 520162 518158 516155
      516151 514141 513136 510133 507132 504133 499138 495140
      491137 488135 487131 494117 496107 500100 506093 510090
      513089 522089 529087 534083 538073 540068 540060 541046
      538035 535026 534021 534014 534008 532005 528999 523997
      515994 508991 505990 501987 497985 494981 495954 495941
      494932 493927 492914 490902 489896 487891 482885 476881
      472877 467873 461869 459874 459884 461887 461891 459896
      457906 458911 458915 462925 465936 466947 467951 466954
      462954 453956 448961 450964 454965 456967 460967 464969
      465972 470978 471981 471987 472993 473997 473011 473017
      474024 475030 475038 474050 475055 474061 470069 468073
      471076 473080 471083 468083 467080 464071 464065 463063
      461064 459062 458057 456054 453054 449058 448064 446068
      441074 443075 442079 444090 442095 439095 438092 437088
      435089 432091 430087 431081 429076 428076 426081 423102
      400116 395121 394131 397138 401134 403130 405123 408119
      410117 412118 416121 418123 422125 421128 422136 424132
      427131 427137 430140 436144 434152 430157 425163 422173
      421178 425177 427182 428185 432186 438180 440192 441198
      443202 448208 453203 459199 462196 463191 462188 462184
      464177 466174 468177 469180 473183 476186 477190 477196
      475201 471205 469207 465209 459210 453212 444212 439211
      435212 428216 421219 417225 405236 403240 402245 402256
      405263 409268 422278 432288 446298 463309 471312 477312
      484306 487303 490299 494292 497287 499286 502289 504287
      508284 509274 515269 520252 522239 525233 525228 527215
      529210
 0.01 517743 516734 515729 512723 508722 501721 502713 503706
      502699 500695 495695 486698 485695 487691 487685 486680
      480671 475667 470666 467664 463665 461669 460676 460679
      465689 461698 458707 455707 452711 451715 452721 456729
      464772 462783 461790 461797 460802 460808 461822 462830
      463835 464839 466839 469838 473835 475832 477822 482799
      480794 477792 479782 483773 485769 489765 492762 496761
      505759 511757 514752 516747 517743
 0.01 427046 425044 424046 419055 414061 408068 404077 404084
      405086 408084 410084 410087 410092 412094 416085 418080
      419074 423065 425060 425053 427046
 0.01 397735 393713 387692 385687 383685 379681 373676 366678
      359684 356690 350706 339715 325723 318728 312732 299741
      293746 289750 276759 270764 267766 263767 250776 245781
      244785 241788 238793 236800 235804 232807 229809 228813
      229817 233820 239824 251831 256834 264835 282834 282838
      279841 274846 269852 269855 272855 279853 285852 288850
      291851 290858 289866 288870 288875 290880 292883 299885
      308884 315882 320879 328874 334870 339870 343872 348877
      358888 361893 367894 374877 376873 379871 382868 384865
      386847 387837 388827 391808 393797 394787 398771 399762
      398751 397740 397735
 0.01 266003 266996 263992 259984 256972 252963 247960 241961
      237964 236969 236977 239980 244983 247986 250996 256003
      261005 266003 266003
 0.25 503273 501259 497247 495241 496238 499238 501232 501225
      498219 494212 491209 486210 479209 474211 465214 456216
      445217 440219 436223 434228 432236 428240 423241 419242
      417244 417249 419251 422252 427255 439259 451262 463263
      473263 478263 483265 502275 503273
 0.25 508164 510157 509149 508145 505145 503153 501157 499162
      496166 494171 494179 498182 501180 504176 506171 508166
      508164
 0.25 509045 509040 507037 504032 499029 496030 494033 491038
      489045 488053 490058 495058 500055 505054 507052 506050
      509045
 0.25 484227 482225 481224 481223 479223 477223 476223 474224
      475226 477226 479226 480227 482228 484228 484227
 0.25 481947 481944 482942 482939 482937 481934 481932 480929
      479928 477929 476932 476934 476937 476939 477942 477944
      477945 479947 481947 481947
 0.25 468157 468151 468145 466139 463124 461106 458097 453098
      449099 447101 444106 448121 449128 450134 450139 449145
      446152 442159 444161 447162 450168 454171 459167 463164
      468157
 0.25 390783 379721 375714 371712 363714 357716 352720 349725
      348729 345734 338743 330752 324759 318770 315775 310777
      298782 293780 289780 284778 279777 270778 264780 253785
      248788 245791 242794 240799 241808 244812 250812 255812
      263817 267819 272818 278814 283812 289813 293810 295808
      299808 302811 304818 306823 306832 308839 311845 309850
      309852 311852 315849 321849 325850 333850 338851 350853
      355855 358852 365845 379825 384813 387803 389791 390783
 0.50 492253 492249 490245 485242 482240 481236 478230 473231
      469232 466231 462229 464227 465222 464219 458219 455223
      459228 462230 459230 452232 448234 443240 442248 446250
      450251 456250 470251 482252 489253 492253
 0.50 495223 495221 494220 493217 492214 491213 490214 489214
      487215 486215 485216 484217 484220 485220 486222 487223
      488224 489224 491224 492224 494224 495223
 0.50 458157 457155 457154 455154 454154 453156 453159 454161
      456162 458160 458158 458157
 0.50 386790 385779 382773 375762 372755 367751 370738 372731
      373726 370724 363726 359730 349740 341748 337754 334761
      334768 334778 332785 328791 325796 325801 324809 321815
      319820 319830 322837 328840 333842 341841 348843 356841
      361839 365834 375824 378818 380812 384800 386790
 0.50 358765 359763 357761 355761 354763 353764 352765 352766
      353768 353769 354771 355771 356770 356769 357768 358766
      358765
 0.50 286793 284789 282788 272786 266786 261788 253791 249793
      250798 252801 256803 260809 266812 275809 281803 286796
      286793
 1.00 379794 378789 376785 372780 366777 361781 354784 349782
      345780 343783 341790 341795 339798 336806 334814 333822
      337830 342833 350833 358833 364828 369823 373817 377810
      378802 379794
 1.00 349769 349767 349765 349762 348760 348758 346757 344759
      344761 344763 344765 344768 345770 345772 346774 346776
      348774 349771 349770 349769
 1.00 274801 275799 275797 274795 273794 272793 271793 269793
      267792 266792 264793 262793 260795 261797 262799 263799
      264800 265800 267802 269804 270803 272803 274801 274801
 1.50 372801 371796 369793 365790 360790 355791 350791 346795
      345798 342808 341815 343821 344827 347829 356829 361827
      363823 364814 371806 372801
 2.00 361798 359797 357796 354797 352799 350800 349802 347805
      346807 346811 348813 351812 354810 357808 358806 360804
      361801 361798
 2.00 360821 359821 358820 356821 358822 359821 360821
 2.00 353824 352822 350822 349823 347824 347825 349826 351826
      352825 353824

$$





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