Quantitative Precipitation Forecast
Issued by NWS

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138
FXUS04 KWBC 272059
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
459 PM EDT THU APR 27 2017


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID APR 28/0000 UTC THRU MAY 01/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1

FAR NORTHEAST MN

COMMA HEAD/DEFORMATION PRECIPITATION ASSOCIATED WITH THE STRONG
HEIGHT FALLS LIFTING NORTHEASTWARD FROM THE UPPER LAKES THIS
AFTERNOON INTO ONTARIO WILL LINGER ACROSS FAR NORTHERN MN EARLY
DAY 1.  PRECIP TOTAL HERE EXPECTED TO BE ON THE LIGHT SIDE--WITH
ANY SIGNIFICANT PRECIP REMAINING TO THE NORTH OF THE BORDER INTO
ONTARIO.

EASTERN U.S.

THE SURFACE FRONTAL BOUNDARY ASSOCIATED WITH THE STRONG HEIGHT
FALLS LIFTING NORTHEASTWARD INTO ONTARIO DAY 1 WILL BE WEAKENING
AS IT PRESSES EASTWARD INTO THE EASTERN U.S. FROM NEW ENGLAND INTO
THE MID ATLANTIC AND CENTRAL TO SOUTHERN  APPALACHIANS.  THE FRONT
WILL LIKELY NOT MAKE ANY APPRECIABLE PUSH INTO THE SOUTHEASTERN
U.S. AS THE BOUNDARY WILL BECOME PARALLEL TO THE UPPER FLOW AS
HEIGHTS BEGIN TO RISE OVER THE SOUTHEAST.  WITH THE OVERALL
WEAKENING TREND TO THE FRONTAL BOUNDARY---MODEL CONSENSUS IS FOR
LIGHT TO MODERATE AREAL AVERAGE PRECIP TOTALS STRETCHING ALONG AND
AHEAD OF THE FRONT FROM THE SOUTHEAST INTO THE MID ATLANTIC AND
NEW ENGLAND.

LEE OF THE NORTHERN TO CENTRAL ROCKIES INTO THE CENTRAL PLAINS

IN THE WAKE OF THE LEAD AREA OF HEIGHT FALLS EJECTING OUT OF THE
UPPER LAKES---ADDITIONAL HEIGHT FALLS WILL DIVE SOUTHEASTWARD IN
THE NORTHWEST MID TO UPPER LEVEL FLOW FROM THE PAC NW INTO THE
CENTRAL TO SOUTHERN PLAINS.   THESE AMPLIFYING HEIGHT FALLS WILL
SUPPORT AN EXPANDING AREA OF OVERRUNNING PRECIP FROM THE LEE OF
THE NORTHERN TO CENTRAL ROCKIES INTO THE CENTRAL PLAINS.  LATE
SEASON HEAVY SNOWS LIKELY ON THE WESTERN END OF THE PRECIP FROM
SOUTH CENTRAL MT--ACROSS LARGE PORTIONS OF WY INTO FAR NORTHEAST
CO AND WESTERN KS. SEE THE LATEST QPFHSD FOR ADDITIONAL WINTER
WEATHER INFORMATION.   THE 0000 UTC ECMWF WAS AN OUTLIER WITH LESS
PRECIP AMOUNTS INTO THE CENTRAL PLAINS COMPARED TO MOST OF THE
REMAINING GUIDANCE. THE 1200 UTC ECMWF TRENDED HEAVIER FROM THE
0000 UTC RUN OVER THE CENTRAL PLAINS AND IS NOW IN BETTER OVERALL
AGREEMENT WITH THE MODEL CONSENSUS.  THROUGH THE DAY 1
PERIOD---SIGNIFICANT PRECIP NOT EXPECTED TO BREAK OUT FARTHER TO
THE SOUTH ACROSS THE SOUTHERN PLAINS TOWARD THE LOWER OH AND LOWER
MS VALLEY.  HOWEVER---CONVECTION SHOULD ENHANCE QUICKLY ACROSS
THESE AREAS EARLY DAY 2.

DAYS 2 AND 3...

***SOUTHERN PLAINS TO THE OHIO VALLEY***

THE WELL-ADVERTISED HEAVY RAINFALL EVENT FOR THE UPCOMING WEEKEND
IS EXPECTED TO MATERIALIZE FRIDAY NIGHT AND LAST INTO SUNDAY.  THE
LATEST GUIDANCE CONTINUES TO SUPPORT THE HEAVIEST RAINFALL
OCCURRING FROM EASTERN OKLAHOMA TO SOUTHERN ILLINOIS, WITH SOME
AREAS POTENTIALLY RECEIVING 4 TO 8 INCHES OF RAINFALL DURING THIS
TIME.  THE ATMOSPHERIC SET-UP FOR THIS EVENT SUPPORTS THE
POTENTIAL FOR FLASH FLOODING ACROSS THIS REGION.  AN AGGRAVATING
FACTOR IN THE FLOODING POTENTIAL IS THE ANTECEDENT WET GROUND FROM
EARLIER RAINFALL THIS WEEK.

ON FRIDAY NIGHT, A STRONG UPPER LEVEL TROUGH WITH A DEVELOPING
CLOSED LOW WILL RESULT IN UPPER LEVEL FLOW BECOMING HIGHLY
AMPLIFIED AND MERIDIONAL, ALONG WITH A STRONG NORTHERN STREAM
UPPER JET.  RIGHT ENTRANCE DYNAMICS OF THIS JET WILL SUPPORT DEEP
LAYER ASCENT ACROSS THE CENTRAL PLAINS AND INTO THE MIDDLE MS
VALLEY, AND IS EXPECTED TO REMAIN IN PLACE FOR AN EXTENDED PERIOD
OF TIME.  THIS AMPLIFYING SHORT WAVE WILL ALSO RESULT IN INCREASED
SOUTHERLY FLOW OUT AHEAD OF IT.  A LOW LEVEL JET OF NEARLY 60
KNOTS IS PROGGED BY THE MODELS TO ADVECT DEEP MOISTURE FROM THE
WESTERN GULF OF MEXICO OVER A STRENGTHENING NORTHEAST TO SOUTHWEST
SURFACE BOUNDARY.  HEAVY CONVECTION TENDS TO BE FAVORED NEAR THE
NOSE OF THE STRONGEST LOW LEVEL MOISTURE TRANSPORT IN THE AREA OF
GREATEST CONVERGENCE.  THE ZONE OF GREATEST MOISTURE CONVERGENCE
WILL BE SLOW TO MOVE OVER THE WEEKEND, THUS IT IS A CONTRIBUTING
FACTOR TO THE HIGH QPF EXPECTED.

ANOTHER FAVORABLE ASPECT OF THIS SETUP IS THE EXPECTED DEGREE OF
INSTABILITY AVAILABLE.  THE ENVIRONMENT SOUTH OF THE STATIONARY
FRONT WILL BE VERY UNSTABLE WITH A WEAK CAPPING INVERSION. THIS
SHOULD GENERALLY ALLOW AN UNINTERRUPTED FLOW OF MOIST AND UNSTABLE
AIR TOWARDS THE BOUNDARY.  GIVEN THE AMOUNT OF RICH THETA E AIR
BEING ADVECTED NORTHWARD, EXPECT TO SEE A LONG DURATION OF
POTENTIAL HEAVY RAINFALL RATES ALONG THE BOUNDARY.  PW VALUES ON
THE ORDER OF 1.7 TO 2.1 INCHES ARE LIKELY, WHICH IS ABOVE THE 90TH
PERCENTILE FOR THIS TIME OF YEAR.  THE MODERATE RISK AREAS FOR
BOTH DAYS WERE MAINTAINED FOR THIS FORECAST ISSUANCE.

FARTHER TO THE NORTHWEST, A DEFORMATION ZONE IS FORECAST TO BECOME
ESTABLISHED OVER THE CENTRAL PLAINS AND EXTENDING TO THE UPPER
MIDWEST.  MAINLY STRATIFORM RAIN IS EXPECTED OVER THIS REGION, BUT
COULD EXCEED AN INCH FOR SOME AREAS.  UPSLOPE FLOW OVER EASTERN
COLORADO ON DAY 2 WILL LIKELY ENHANCE QPF OVER THE FRONT RANGE OF
THE CENTRAL ROCKIES.

IN TERMS OF MODEL PREFERENCES, WE FOLLOWED THE TREND OF USING THE
GFS/ECMWF AS A STARTING POINT FOR THE QPF AMOUNTS, AND TO MAINTAIN
CONTINUITY FROM THE OVERNIGHT FORECAST ISSUANCE.  THERE HAS BEEN
VERY GOOD RUN TO RUN CONTINUITY WITH THESE SOLUTIONS AND OVERALL
THESE TWO MODELS ARE PRETTY CLOSE TO EACH OTHER.  THEY ALSO HAVE
SUPPORT FROM THEIR ENSEMBLE MEANS.  WE GAVE LESS WEIGHTING TO THE
NAM/UKMET/GEM SOLUTIONS SINCE THEY ALL HANDLED THE EVOLUTION OF
THE SYSTEM A BIT DIFFERENT THAN THE CONSISTENT ECMWF/GFS CLUSTER.


***NORTHWESTERN QUADRANT OF THE U.S.***

A LOW PRESSURE SYSTEM TRACKING EASTWARD AROUND AN EASTERN PACIFIC
UPPER LEVEL RIDGE IS FORECAST TO REACH CENTRAL BRITISH COLUMBIA
SATURDAY EVENING.  THE TRAILING COLD FRONT IS EXPECTED TO BRING A
PERIOD OF LIGHT TO MODERATE RAIN AND HIGH ELEVATION SNOW TO
WESTERN WASHINGTON AND OREGON SATURDAY NIGHT, BEFORE TRANSITIONING
TO MAINLY POST FRONTAL SHOWERS ON SUNDAY.  SOME OF THIS MOISTURE
WILL LIKELY MAKE IT TO THE NORTHERN ROCKIES ON SUNDAY.  GIVEN ONLY
MODEST UPPER LEVEL SUPPORT, WE ARE NOT EXPECTING THIS TO BE A
SIGNIFICANT PRECIPITATION EVENT AT THIS TIME.


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

ORAVEC/HAMRICK

24HR QP VT 29/00Z
 0.01 560836 559834 559831 559828 547760 546766 545762 543747
      534737 522728 520725 518721 518717 516704 512697 508694
      503689 498685 491679 485675 485671 488665 488657 484651
      482647 478645 473641 468637 461633 453631 445631 438633
      429636 424640 418644 414650 401664 397670 393677 388684
      382690 371699 366705 362712 353727 349732 346738 342743
      339751 335759 331767 323780 319788 318792 319799 326800
      331794 342781 350780 357775 364773 367771 371770 372772
      370774 368776 361780 338802 332808 326814 318825 314831
      310839 305846 300852 295858 291866 289869 291871 298869
      309859 315855 317854 319855 318858 315866 307871 305873
      301874 299876 299881 300901 304912 308920 312924 318927
      323930 326932 330932 333929 334925 330919 324913 322910
      321907 319904 320901 320897 325889 327887 326884 329876
      335858 335855 336851 338847 339841 340837 343834 348830
      354825 360821 372812 389806 405800 420795 436796 445797
      453799 479809 488819 499832 504839 506842 505848 501853
      497854 494853 487850 479851 477853 475858 474864 474872
      480888 483899 480907 477917 475928 474931 474937 474944
      475947 476952 479954 486959 489960 491958 500957 513953
      521949 528944 537936 541931 545922 549914 554906 558899
      561889 562881 562870 561850
 0.01 542179 543170 541164 536159 525147 518140 511134 496122
      493119 487117 485110 484108 485106 486103 488102 492102
      497102 500102 505102 509102 513100 515098 517094 516089
      513085 511081 508078 505075 492073 490075 485075 482076
      477075 469069 466065 464062 461061 457060 455056 450047
      440029 436009 433996 433985 431959 434931 430909 423888
      418881 411871 408861 406856 402853 399851 396849 388847
      379845 374846 368849 362854 358856 358861 359875 357889
      351908 344925 335945 319977 315984 313988 313994 311999
      314001 324997 332994 341989 347984 352978 354977 355981
      356986 358990 360994 372010 384023 391029 394034 393038
      390038 361049 350048 345048 342053 339056 339061 338067
      336071 335084 340097 341102 344103 347103 351099 353093
      353087 355073 357068 362065 361062 363058 365054 369054
      374053 377053 383060 383069 378068 374070 372075 373081
      381084 384088 388089 393089 396090 398088 401095 401101
      398104 395105 391107 388111 385113 381117 380122 383125
      390123 399123 405125 411124 414125 417123 423129 430124
      436118 439118 442120 446123 452121 454121 454125 452129
      445135 441135 437136 433147 436158 444166 446172 444176
      441181 439184 436184 434182 433179 432174 429171 425169
      418168 415170 417174 416181 418185 426189 431190 436195
      440202 442206 443209 442213 438215 433217 424219 423224
      427226 432228 435232 435240 437242 446243 462242 473244
      478245 480244 481241 479236 477234 475232 472233 469234
      464232 460234 450234 446234 447229 453225 462225 471223
      479222 485224 490227 497225 502218 505204 504200 503197
      499199 493204 488205 480207 474210 465210 458212
 0.01 458212 454212 451211 450206 451200 452195 454190 458186
      462179 463176 461175 456170 457166 460166 468168 475171
      490174 496173 502172 506173 508175 513181 517185 524187
      528189 533193 538191 541184 542179
 0.01 274822 273820 271818 269816 267814 265813 262811 260810
      257811 258815 260817 262819 265820 266821 270822 272823
      274822
 0.25 557870 557860 557849 553835 548822 543810 539810 535813
      533819 531825 528832 526837 520847 514857 508867 503878
      502887 502896 502905 503914 505921 507926 511931 516934
      522931 525928 532919 539909 550890 554879 557870
 0.25 533176 534174 534171 533170 532169 531168 530167 529166
      527165 526164 524164 523166 523168 524170 524171 525172
      527174 528176 529178 531179 532179 533178 533176
 0.25 535789 536784 534780 531776 529771 528764 526756 522750
      515742 506735 501734 496738 494746 495756 496766 499773
      502779 505782 517783 522785 527788 531791 534791 535789
 0.25 516161 515155 511152 508149 505146 502144 497142 492142
      491147 491152 495156 499157 503159 508161 513161 516161
 0.25 495794 496790 494787 492782 490779 487778 478777 473776
      468776 460777 454777 450780 450785 452787 460790 468792
      476795 483796 488797 493795 495794
 0.25 478157 477151 475146 473143 469140 465139 463139 460139
      457142 456146 457151 460155 463157 468159 473160 477158
      478157
 0.25 472101 473097 473092 471088 463080 452065 442046 433027
      427004 424978 422964 422957 422948 424936 424924 421918
      418916 413917 409921 405931 398937 395937 392938 389941
      387945 386951 386961 387974 388987 388995 386001 386008
      388013 393022 398030 403039 406049 407053 406056 404061
      402064 403067 407070 414078 418087 422089 426093 429097
      432100 437102 444101 449103 454105 464109 470105 472101
 0.25 444771 443766 441765 437763 431763 426766 421768 416772
      412777 413781 415782 422782 427781 434780 439777 442774
      444771
 0.25 379725 376719 375716 372717 367721 364725 361729 360734
      362738 366740 371738 377735 377732 376730 379725
 0.50 553865 554858 553851 549844 545839 542837 538838 533843
      529849 524855 520862 514877 512881 512887 513900 513905
      515910 518918 521919 524918 529912 537900 545887 549879
      552872 553865
 0.50 455083 454079 453076 448068 442055 434040 431033 429025
      425008 422989 419970 417960 414952 409948 403948 396949
      393953 393959 394982 395992 393000 392007 392014 395020
      400026 416052 420057 422068 424086 429092 431092 435090
      436087 436080 437076 440074 444075 448080 451083 455083
 1.00 541871 540869 538869 536870 535873 533875 532878 530882
      529886 530889 532888 535886 537884 538881 540877 541874
      541871
 1.00 421036 422028 422020 420006 418994 415982 413976 410971
      407975 402977 401983 400991 400999 398005 398013 400018
      406026 412033 417036 420038 421036
 1.50 416022 417015 416009 416003 414998 412995 408997 406001
      405007 405014 406019 409023 412025 415025 416023 416022

24HR QP VT 30/00Z
 0.01 530244 524245 518242 512232 505221 498211 494206 488204
      478205 472208 468211 458214 453217 452221 455223 459223
      460225 462228 460232 456234 450234 447238 455247 457253
      458256 457262 445285 443287 442292 441296 442299 445305
      448309 450312 452315 455319 462322 466325 479332 484335
      489338 491339
 0.01 548169 537162 541180 540190 537194 534201 530205 528207
      525206 521202 513189 510186 505182 501181 499183 493181
      486179 483173 476168 469165 463161 459158 455146 451141
      448134 451129 453127 451123 450120 447119 439118 430121
      426127 420126 418123 414121 405120 394119 389124 383125
      380121 379117 391112 400105 406091 409090 411092 415098
      420099 424098 424094 422091 420085 421080 419077 413077
      408079 403081 400084 398087 395093 392094 392091 394088
      393084 390084 390089 386091 382088 376086 368084 361089
      358091 356091 352091 350093 348099 343101 337098 332089
      326087 324085 324080 325071 325067 323063 320058 316054
      309043 306036 306025 306015 305010 306004 309997 308994
      305992 302990 297989 291979 290977 289973 290964 289949
      288941 286935 283926 282917 283912 291912 293904 293896
      292881 295878 299878 301880 305880 308882 314885 325889
      333888 340886 343884 348883 350880 351876 354863 355847
      350850 347853 344858 342860 338861 333861 327855 325849
      323847 323844 328831 336818 342809 346805 351801 359796
      365800 373799 380789 383786 383780 382775 383772 383768
      386766 391762 400760 403757 404754 414731 415723 415713
      414703 412694 409678 408674 409670 411666 415651 429637
      452629 463633 468644 472650 474654 475659 476667 478673
      481681 484685 484691 483695 484701 485707 484711 484716
      483720 480724 477729 476735 477742 477753 475764 472783
      471789 467793 463800 460802 458803 453804 450807 445808
      442810 435816 437836 439842 439850 440863 440874 441880
      440884 440897 441903 442910 442916 443919 441927 435949
      428964 423970 420978 419990 417000 417006 414011 413015
      413021 415028 417031 419034 426038 432038 435036 442033
      444034 445037 447065 454078 458086 461089 462091 464089
      471090 477086 481084 487085 491086 493089 497099 506101
      510102 513100 517093 519088 519082 518075 516072 514068
      511063 509060 504058 496057 492056 490054 490048 491044
      494041 498040 505037 511037 515038 518039 519037 519032
      520030 525026 533022 543014 553024 566035
 0.01 559881 559862 558854 557848 554833 550822 547817 544817
      540818 536821 522834 519837 516841 511851 512866 510871
      510880 507892 506897 507906 510908 514908 518910 523910
      534910 542907 546904 548901 551898 554893 557886 559881
 0.01 455174 454174 454171 453170 451170 451171 450173 450175
      451176 452177 453176 454174 455174
 0.01 448090 449087 449085 449082 448081 447080 446079 445077
      444077 443076 441076 440076 439079 440081 440084 440085
      442086 444089 445090 447090 448090
 0.01 317088 316083 312081 306084 301086 297088 294094 295100
      299104 301106 304107 308104 311098 314092 317088
 0.25 524262 517257 514252 506239 499229 494225 495233 496240
      494242 490241 486240 484241 482244 481248 478258 475265
      472273 470284 470293 472302 474308 478314 486317 491321
      498326
 0.25 526172 524164 521159 515156 511154 504153 499154 500157
      503163 507168 512171 518173 523173 526172
 0.25 495148 494143 492139 489136 486133 481130 476131 474136
      477139 482142 485145 487149 490152 492152 495148
 0.25 433097 433095 433094 431092 430090 429089 428088 426087
      425089 426091 428093 429094 431096 432097 433097
 0.25 425876 424865 423850 423825 422811 418801 415794 413790
      410788 404793 396800 391805 386812 383822 382826 376829
      370839 361859 357881 348904 343912 337920 332925 329928
      323928 316930 313931 308931 307931 305932 304935 303937
      304939 306944 305952 305958 306963 308972 310975 314977
      322980 323984 322988 323997 324001 329003 340005 343008
      345011 346015 345020 332055 329056 326058 335062 343067
      344070 344075 342080 343085 344090 347089 349080 349072
      353070 358069 365070 371072 375078 379079 381076 384074
      389072 397069 400068 404068 409069 413068 415066 417060
      411051 407044 404036 403026 403013 405989 406975 409963
      412954 415946 419936 421926 421914 422902 424889 425876
 0.25 411108 411106 411105 411103 410101 410099 408098 406100
      406102 406105 406107 406109 407110 409111 410110 410108
      411108
 0.50 519272 513267 509260 505259 502259 496257 492255 489255
      485261 482273 482283 485292 488299 492306 496313 500315
      503315
 0.50 417849 417837 415824 414817 411809 408806 405805 400809
      395814 392819 385833 381847 378853 371857 365860 364863
      364867 365875 360882 358888 355895 350911 344922 336935
      332939 326943 324946 323950 322959 312965 332982 331988
      331992 333995 339998 342998 345995 351993 354995 356999
      357007 355015 350028 342041 341049 343059 348062 356063
      363061 366059 371060 384060 388060 393061 401059 405058
      407056 403051 398045 395038 395029 396018 397007 397994
      398986 400977 402968 404960 409945 411938 411931 410925
      409917 410908 415895 417891 418885 418880 416876 417849
 1.00 408898 408895 405896 403894 404888 403870 404854 405845
      405836 403832 400830 396832 393834 390839 388845 383859
      380863 378868 376876 372882 363888 354914 348928 346933
      341936 336941 333946 328957 327965 328969 331972 335976
      337977 338981 338990 339993 342993 350985 373987 373995
      371000 366005 363010 356024 352036 349042 347050 351055
      354057 357057 364055 371054 383052 385049 386045 384038
      382030 383022 385013 387004 388997 387988 386984 387979
      389973 390964 387960 384954 384949 386947 391936 396922
      401910 408898
 1.00 370867 369866 368865 367867 368867 369867 370867
 1.50 396894 396889 394885 391879 391870 394862 395859 393855
      389854 385862 382868 379884 374889 371891 367891 364892
      362896 360904 358912 356919 350934 348938 345941 341943
      339944 337948 334955 332964 331967 334968 339974 341980
      344984 350980 356980 361979 366974 369967 370963 372960
      375954 382940 388927 393913 395902 396894
 1.50 381049 380047 380046 378046 378047 377049 378049 379050
      381049 381049
 1.50 378008 377003 374004 371007 368010 365014 363017 361023
      361025 363029 366030 369025 372022 374019 376015 378008
      378008
 2.00 392899 393895 392891 388893 385898 381900 378901 376898
      376893 366896 364897 363900 361906 359917 354928 350938
      348943 344947 341949 338954 337960 337967 341976 345978
      349976 351974 354975 358976 360974 364964 370955 375947
      380937 386927 387923 389916 390905 392899
 3.00 382916 378913 373916 368918 364921 356930 353934 352941
      350948 346952 343957 342960 342965 347968 352965 356966
      358965 361960 368950 373940 379929 382922 382916
 4.00 375927 373925 370926 362931 355934 352945 348953 346957
      346960 357960 362954 366947 371938 375929 375927
 5.00 370934 371929 369929 364934 361936 356936 355939 354943
      352949 350954 350957 354957 358954 361949 364944 367938
      370934
 6.00 363941 363940 361940 359941 357940 357941 356943 355945
      355947 354949 353952 354952 355952 355951 357950 357949
      359948 360947 361945 362943 363941 363941

24HR QP VT 01/00Z
 0.01 533209 534202 534195 532183 530172 529167 526163 521156
      516150 511148 508146 503144 499141 495138 492135 486129
      480123 474115 476111 475106 473103 468100 462099 458097
      454093 448093 444091 440091 436093 433092 428086 424086
      425092 429099 429102 427103 423104 421107 424111 441118
      446124 455124 456127 453130 448136 446142 442143 443140
      439136 437138 436144 435150 435157 445172 447178 443181
      442186 446189 454191 461187 464185 467182 469179 473177
      481177 485181 487185 485198 479203 471205 462210 449214
      440214 432218 429221 428226 431229 434230 436231 436234
      432236 428236 422234 419236 415239 420244 429248 437250
      443257 451261 468271 472273 476276 485280 495283 502281
      505279 508275 512268 517258 517251 516245 514237 509227
      505218 501210 501204 504201 509207 515214 521217 525217
      530213 533209
 0.01 544073 544069 542063 538054 529037 525028 523016 523012
      524007 526003 531996 535988 539979 540970 538965 536962
      531962 526967 520974 515983 511991 508000 508007 509012
      512016 511019 509018 506021 506029 505036 503041 499051
      497055 494057 484060 478064 476068 475073 473078 470080
      464087 465091 467095 474094 482090 486090 490088 493087
      496083 498080 499073 505067 508063 510058 510051 511047
      512047 516057 520065 526072 531076 536078 542077 544073
 0.01 482781 482773 480767 479758 476751 475744 473740 471740
      466739 459740 451748 446758 439769 435774 432769 429764
      426761 418754 412754 409748 406741 404734 402730 398728
      394724 388725 380727 376732 375739 375747 378759 379768
      381774 384780 384784 384789 379798 375802 373807 371813
      373818 376823 378826 379829 378831 376837 375844 373849
      369852 365855 359858 347861 342863 335864 329865 325866
      311869 301874 296879 292884 289887 284889 272892 263898
      259901 258907 251929 252935 255941 257943 259944 263946
      264949 270957 272969 274975 279979 281983 281987 288996
      293004 299015 301022 305028 313031 319033 323037 334042
      343048 353054 356058 361058 372055 378054 383056 384053
      381047 382039 385033 391032 396034 400030 402025 405020
      408016 413013 417008 421005 427002 437997 443990 450981
      457972 461967 463961 468948 472936 474922 473914 472902
      472895 468892 464889 461882 461873 462866 464862 466860
      470856 475844 477832 479812 480804 481797 482781
 0.01 414064 409059 406053 397053 395050 390050 390052 393055
      393059 393062 396062 402059 406060 409063 405065 406068
      408070 411073 412071 411067 411064 414064 414064
 0.01 389070 389063 386063 380062 377064 371063 368063 369066
      373069 374073 375080 379081 381078 383074 387070 389070
 0.01 368815 366811 360811 353817 347825 338830 334833 331837
      330842 333846 337848 343847 347845 350840 352836 353830
      355825 360823 368816 368815
 0.25 527196 524181 521176 517170 510162 505158 499157 496156
      494153 494148 492141 489136 485132 478129 474129 472131
      471135 472138 475141 480143 486145 488152 487155 486157
      479156 475153 469148 466144 461144 459146 458150 458159
      460165 465168 476166 496179 504187 513196 516198 520199
      527196
 0.25 509254 510247 510241 506232 501223 497216 490210 485208
      479207 473210 466214 463216 458217 450218 447219 442219
      440221 441224 446225 455223 463224 478220 483220 487222
      491226 492230 496239 499242 501248 501251 504254 509254
 0.25 501261 499254 496249 489239 486236 483237 479234 473232
      467235 459233 448236 446238 447241 452243 464243 475248
      482251 486255 497262 501261
 0.25 466787 465782 462778 457780 454784 452788 449791 441797
      436797 433796 426790 422787 418787 412788 407790 400795
      398800 401802 403807 405814 405822 404827 399833 392840
      386846 379855 374861 366867 349875 339876 328876 318876
      314877 309881 296891 289897 286900 281902 274906 270913
      266922 265928 264935 267943 270946 274948 284951 287953
      289957 290963 290969 290978 290984 292988 296992 301992
      307986 313981 330973 339969 347967 353966 358966 363967
      366974 366984 362994 358003 354011 352014 353019 357021
      360025 364027 370028 375028 379026 384019 392016 401012
      408007 415003 422997 428991 436983 441977 446969 450959
      454950 457940 460928 460917 458910 455904 452895 451889
      451882 453870 457861 461850 463841 465828 465812 466787
 0.25 453176 454174 453172 451171 451173 451175 452176 453176
 0.50 519188 519184 518181 516179 515176 512173 510172 507170
      504171 505175 507177 508180 510183 512185 514187 517188
      519188
 0.50 507248 507242 504236 500228 496221 489215 481210 477210
      474212 471215 472217 475217 483217 490220 494228 498237
      503246 505248 507248
 0.50 478241 479238 477236 476236 474236 473236 473239 473240
      475242 476242 478241
 0.50 460827 460815 460807 459801 456798 453799 448805 442812
      437817 431817 427816 424814 420818 413832 408840 403846
      390856 383860 377867 370871 363875 355879 346881 337881
      328880 323879 318880 309885 297894 293901 290904 287907
      279909 274915 270923 267933 268938 270941 272943 277944
      287944 292946 294949 297956 299960 299966 297975 296980
      298985 301986 304984 311979 325971 338965 356958 371954
      374956 376959 376973 374982 371992 368001 370013 371017
      373021 376022 379018 384012 388010 391009 406003 413999
      420993 431982 436975 440968 445959 448951 450941 451934
      450927 446921 442912 440907 440900 442889 444879 447870
      455852 457846 459839 460827
 1.00 451840 451831 450825 450820 448819 443822 435831 426841
      419851 414855 408859 403862 399865 395870 392872 388874
      382875 375877 364883 358885 352887 344888 338887 333885
      327883 320882 314884 305891 300895 297903 293915 290920
      285923 279927 277932 277935 281937 288937 293937 298939
      303943 307948 310954 311961 311966 309968 304973 302978
      305980 307979 312975 316970 322967 327965 337958 349954
      355951 361947 369940 375937 382934 393929 397925 401920
      404914 408910 413907 417905 419903 433881 439870 446856
      449848 451840
 1.00 439954 439949 438945 435942 431941 424943 417946 404952
      399956 395963 387977 385983 383992 384995 387997 394997
      401995 408992 419984 429973 433967 437961 439954
 1.50 443848 444841 443837 441836 437838 434842 429851 422858
      415864 406868 401871 397875 394878 390881 379881 370886
      360890 355891 349891 339893 329893 325887 321886 316887
      311890 304895 302900 302907 301913 303918 306922 308928
      310939 315941 321940 323940 323945 319958 319960 321964
      323964 331958 338952 342949 348948 355943 361936 364932
      369928 377924 406901 410898 415896 418893 422888 431871
      438860 441854 443848
 1.50 432959 432956 430954 424956 416958 409963 403968 398976
      396979 395982 395986 399987 403985 410981 417976 423970
      429964 432959
 1.50 339921 340917 339914 337915 335917 333919 332922 330926
      330928 328932 327934 328937 331937 333934 334932 336930
      337927 339923 339921
 2.00 430862 430859 428859 425862 422867 418869 412869 408871
      400876 393882 386888 376891 365893 356895 351896 344895
      335898 329898 324902 317905 317900 311900 308904 306908
      306913 308916 312919 315923 313927 314932 318933 322930
      325926 326920 328917 335910 344907 350906 355908 354912
      351915 345921 339929 338934 337941 339943 343943 351938
      359933 366925 380915 387909 394903 401899 409892 418887
      420884 422879 425869 430862
 2.00 335949 335945 333945 330947 328949 327952 325954 323956
      322958 323961 325960 327958 329956 331954 333952 335949
 2.00 318894 316892 315893 314892 313892 312892 311894 309894
      308894 307895 306897 308898 309897 311898 313897 315896
      317895 318894
 3.00 406885 405881 400883 395888 383898 376900 367900 362904
      359912 348925 343930 342934 345936 349931 357928 369918
      375914 380908 385902 392897 398893 404887 406885
 4.00 357923 357921 356921 355921 353923 353925 354925 355924
      357923 357923


$$





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