Quantitative Precipitation Forecast
Issued by NWS

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606
FXUS04 KWBC 132020
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
319 PM EST WED DEC 13 2017


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID DEC 14/0000 UTC THRU DEC 17/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1


...GREAT LAKES INTO THE NORTHERN MID ATLANTIC AND SOUTHERN NEW
ENGLAND...

A CLIPPER OVER THE GREAT LAKES WILL CONTINUE MOVING EAST TO OFF
THE MID ATLANTIC AND SOUTHERN NEW ENGLAND COAST BY EARLY THURSDAY.
A SWATH OF LIGHT TO MODERATE SNOW WILL CONTINUE AHEAD OF AND TO
THE NORTH OF THE LOW. MODELS ARE GENERALLY IN GOOD AGREEMENT WITH
THE EVOLUTION OF THIS SYSTEM AND ARE ALSO PRETTY SIMILAR WITH QPF
OUTPUT. THUS WPC QPF FOLLOWS A GLOBAL AND HIGH RES MODEL BLEND.
SNOWFALL INTENSITY SHOULD GENERALLY BE ON A DOWNWARD TREND EAST OF
THE APPALACHIANS...ALTHOUGH LIGHT AMOUNTS ARE LIKELY ACROSS MUCH
OF PA AND NJ. COULD SEE A SLIGHT UPTICK IN AMOUNTS ACROSS LONG
ISLAND AND THE SOUTHERN NEW ENGLAND COAST. MAXIMUM TOTALS OF
0.25"-0.5" BETWEEN 18Z TODAY AND AND 12Z THURSDAY SHOULD BE ALONG
AN AXIS FROM CENTRAL MI INTO NORTHEAST OH...WESTERN PA AND THE
HIGHER TERRAIN OF NORTHERN WV.

...ROCKIES/NORTHERN PLAINS...

TWO DIFFERENT SHORTWAVES WILL BRING SOME LIGHT SNOW TO PORTIONS OF
THE ROCKIES AND NORTHERN PLAINS. NEITHER SYSTEM WILL HAVE MUCH
MOISTURE TO WORK WITH AND BOTH WILL BE PROGRESSIVE. NONETHELESS A
COUPLE SWATHS OF LIGHT SNOWFALL ARE LIKELY...ONE FROM WY INTO
CENTRAL CO...AND ANOTHER ACROSS THE DAKOTAS. MODELS ARE AGAIN IN
CLOSE ENOUGH AGREEMENT TO GO WITH A MULTI MODEL BLEND...WITH A BIT
HIGHER WEIGHTING GIVEN TO SOME OF THE HIGHER RES GUIDANCE.


DAYS 2/3...


...PACIFIC NORTHWEST/NORTHERN AND CENTRAL ROCKIES...

SHORT WAVE ENERGY CROSSING THE PACIFIC NORTHWEST AND NORTHERN
ROCKIES DURING DAY 2 DROPS INTO A DEVELOPING LONG WAVE TROUGH OVER
THE ROCKIES AND SOUTHWEST STATES ON DAY 3. THERE WAS GENERALLY
GOOD MODEL AGREEMENT WITH THE OVERALL SYNOPTIC SETUP...SO THE WPC
QPF WAS BASED MAINLY ON A BLEND OF THE 12Z ECMWF/12Z GFS.

DAY 2...
SHORT WAVE ENERGY RIDES OVER THE TOP OF THE FLATTENING MID LEVEL
RIDGE OVER THE WEST COAST TO CROSS WA/OR BETWEEN 15/18Z AND
16/00Z. AHEAD OF THE SHORT WAVE...A LOW LEVEL WEST NORTHWEST FLOW
TRANSPORTS 0.75 INCH PRECIPITABLE WATER AIR TO WA/OR...WHERE THE
COMBINATION OF UPSLOPE FLOW AND SYNOPTIC SCALE ASCENT IS EXPECTED
TO PRODUCE AN AREA OF 0.25 TO LOCALLY 0.50 INCHES OF QPF ACROSS
THE WA CASCADES.

DAY 3...
AS THE SHORT WAVE ENERGY DROPS INTO A DEVELOPING LONG WAVE TROUGH
DEVELOPING FROM THE CENTRAL ROCKIES INTO THE SOUTHWEST STATES...IT
PRODUCES SYNOPTIC SCALE LIFT OVER THE NORTHERN AND CENTRAL
ROCKIES...MAINLY DURING THE FIRST HALF OF THE PERIOD. THE COLUMN
IS FAIRLY DRY (WITH PRECIPITABLE WATER VALUES AT OR BELOW 0.25
INCHES)...BUT THE COMBINATION OF UPSLOPE FLOW FOCUSED ON THE
HIGHER TERRAIN AND LIFT WITH THE SHORT WAVE ARE EXPECTED TO MAKE
THE MOST OF THE THE MOISTURE IN THE COLUMN.  AN AXIS OF 0.25 TO
0.50 INCHES OF QPF WAS STRETCHED FROM THE ABSAROKA RANGE IN MT
ACROSS THE GRAND TETONS...THE WIND RIVER RANGE...AS WELL AS THE
BIGHORNS IN WY. IN ADDITION...LOCAL 0.50 INCH QPF AMOUNTS WERE
PLACED OVER THE NORTHERN BITTERROOTS IN ID.


...GULF COAST...

SHORT WAVE ENERGY CROSSING THE ROCKIES DURING DAY 2 DROPS INTO A
DEVELOPING LONG WAVE TROUGH...WHERE A CLOSED MID LEVEL LOW FORMS
OVER NORTHERN MEXICO. A STRONG JET STREAK EMANATING FROM THE
CLOSED MID LEVEL SYSTEM CROSSES THE LOWER MS VALLEY INTO THE TN
VALLEY DURING DAYS 2 AND 3...PROVIDING SYNOPTIC SCALE ASCENT FOR
ELEVATED CONVECTION...MAINLY ACROSS SOUTH TX. WHILE THERE WAS
DECENT MODEL AGREEMENT ON DAY 2...THERE IS A FAIR AMOUNT OF MODEL
SPREAD CONCERNING HOW THE LONG WAVE TROUGH EVOLVES ON DAY 3. IN AN
ATTEMPT TO MITIGATE SOME OF THE DIFFERENCES...THE WPC QPF WAS
BASED MAINLY ON A BLEND OF THE 12Z ECMWF/12Z GFS.

DAY 2...
AS SHORT WAVE ENERGY DROPS INTO A DEVELOPING LONG WAVE TROUGH
ACROSS THE SOUTHWEST STATES AND NORTHERN MEXICO ON DAY 2...A
CLOSED MID LEVEL LOW FORMS OVER NORTHERN MEXICO BY THE END OF THE
PERIOD. A 150 KNOT JET STREAK TRACKS FROM THE SOUTHERN PLAINS
ACROSS THE LOWER MS VALLEY INTO THE TV VALLEY...MAINLY AFTER
15/12Z. THE STRONG SYNOPTIC SCALE LIFT IN THE RIGHT REAR QUADRANT
OF THE JET STREAK INTERACTS WITH MOISTURE DRIFTING NORTH FROM THE
WESTERN GULF OF MEXICO... FOCUSED ON AN INVERTED SURFACE TROUGH
ACROSS FAR SOUTH TX. WHILE SURFACE BASED INSTABILITY MAY BE
LIMITED...ELEVATED INSTABILITY IN THE RELATIVELY WEAK FLOW FROM
THE GULF COULD PRODUCE AN AXIS OF 1.25 TO 2.00 INCHES OF QPF
ACROSS THIS AREA. THE COMBINATION OF LIMITED INSTABILITY AND HIGH
FLASH FLOOD VALUES SHOULD MITIGATE A FLASH FLOOD THREAT HERE ON
DAY 2.

DAY 3...
THE BEST LIFT ASSOCIATED WITH THE THE STRONG JET STREAK EXITS
EARLY DURING DAY 3...BUT THE CLOSED MID LEVEL SYSTEM OVER NORTHERN
MEXICO OPENS UP INTO A MID LEVEL WAVE THAT CROSSES SOUTHERN AND
CENTRAL TX BY THE END OF THE PERIOD. WHILE INSTABILITY REMAINS
RATHER LIMITED... A 20 TO 25 KNOT LOW LEVEL SOUTHERLY FLOW
TRANSPORTS 1.50+ INCH PRECIPITABLE WATER AIR ACROSS THE SOUTHEAST
TX...MAINLY AFTER 16/12Z. THERE IS SOME SPREAD IN JUST HOW STRONG
THE MID LEVEL WAVE WILL BE WHEN IT CROSSES TX...AND HOW IT
INTERACTS WITH THE DEEPENING MOISTURE. FOR NOW...BASED ON A BLEND
OF THE 12Z ECMWF/GFS...WHICH ARE FAIRLY CLOSE WITH THE STRENGTH OF
THE MID LEVEL TROUGH...THE HIGHEST QPF AMOUNTS (0.25 TO 0.50
INCHES OF QPF) WERE LIMITED TO SOUTHEAST TX...CLOSER TO THE
DEEPEST MOISTURE IN THE STRENGTHENING LOW LEVEL FLOW.


...UPPER MS VALLEY/GREAT LAKES/NEW ENGLAND...

SHORT WAVE ENERGY CLOSES OFF INTO A MID LEVEL CIRCULATION OVER THE
UPPER GREAT LAKES ON DAY 2...BEFORE WEAKENING AND MOVING OFF THE
NORTHERN NEW ENGLAND COAST DURING DAY 3. FOR THE MOST PART...THERE
WAS GENERALLY GOOD MODEL AGREEMENT WITH THE EVOLUTION OF THE MID
LEVEL SYSTEM... SO THE WPC QPF WAS BASED ON A BLEND OF THE 12Z
ECMWF/GFS. SOME 12Z NAM/NBM WERE USED TO BETTER DELINEATE THE LAKE
EFFECT PRECIPITATION.

DAY 2...
THE FIRST SHORT WAVE IN THE FAST NORTHERN STREAM TRACKS FROM THE
UPPER MS VALLEY ACROSS THE UPPER GREAT LAKES EARLY ON DAY
2...BEFORE EXITING ACROSS THE MID ATLANTIC. MOISTURE IN THE COLUMN
IS FAIRLY PALTRY...BUT AFTER THE SHORT WAVE PASSES...THE BOUNDARY
LAYER FLOW BECOMES MORE CONDUCIVE TO LAKE EFFECT
CIRCULATIONS...MAINLY DURING THE SECOND HALF OF THE PERIOD. THE
CIRCULATIONS DO NOT GET WELL ESTABLISHED AHEAD OF THE NEXT SHORT
WAVE IN THE FLOW...SO FOR THE MOST PART...QPF AMOUNTS WERE LIMITED
TO ABOUT 0.25 INCHES DOWNWIND OF EACH LAKE.

DAY 3...
THE NEXT SHORT WAVE IN THE FLOW TRACKS FROM THE UPPER GREAT LAKES
EARLY ON DAY 3 TO NORTHERN NEW ENGLAND LATE IN THE PERIOD. A WEST
SOUTHWEST FLOW BOUNDARY LAYER FLOW CROSSES THE LONG AXIS OF LAKES
ERIE AND ONTARIO...SETTING UP A FAVOR FETCH FOR LAKE EFFECT
CIRCULATIONS. MODEL SOUNDINGS SHOWED MIXED LAYER DEPTHS IN EXCESS
OF 750 MB...WHICH COULD ALLOW LOW TOPPED CONVECTIVE ELEMENTS TO
DEVELOP. THE TIMING OF THE SHORT WAVE COULD LIMIT QPF AMOUNT A
BIT...BUT 0.50 INCH QPF AMOUNTS WERE PLACED OVER THE DOWNWIND
LOCATIONS OF EACH LAKE.

AS THE SHORT WAVE ENERGY GETS OFF THE NEW ENGLAND COAST...IT MAY
PROVIDE LIFT TO A DEVELOPING SURFACE LOW WELL EAST OF THE NEW
ENGLAND COAST. ALMOST ALL 12Z MODEL SOLUTIONS INDICATE THE
POTENTIAL FOR AN INVERTED TROUGH TO EXTEND FROM THE SURFACE LOW
BACK TOWARD THE ME COAST... MAINLY AFTER 16/18Z. AT THIS
POINT...THE HIGHEST QPF AMOUNTS ARE EXPECTED TO REMAIN
OFFSHORE...BUT IF THERE IS BETTER MODEL AGREEMENT WITH THE
PLACEMENT OF THE INVERTED TROUGH... QPF AMOUNTS OVER ME COULD BE
INCREASED IN SUBSEQUENT FORECASTS.


CHENARD/HAYES

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

24HR QP VT 15/00Z
 0.01 448628 453638 454645 452649 443667 430673 428678 427683
      425693 422704 420716 426722 422724 422727 423729 427731
      430733 431746 435773 435786 437793 439796 447794 453801
      455804 455810 452820 453827 454831 456835 454840 450841
      448843 450845 458844 458849 457852 453858 452862 450867
      448871 443877 435883 428883 418879 411876 407873 405871
      409868 407860 404857 399858 396860 394858 393845 393837
      394833 393825 393821 390820 379821 374824 372826 369831
      369828 370823 370820 367818 363821 362825 358830 359825
      359821 374809 385794 391789 394784 395780 396775 395768
      393762 391760 385750 383746 382741 381734 382729 379724
      374724 350745 344746 340749 334750 331749 325749 321749
      317748 317743 319733 321724 326718 333713 338703 343697
      350690 352686 356683 368670 373664 379658 395645
 0.01 554050 555039 555032 554029 553021 548017 539009 531002
      519001 506001 489987 482987 478986 475984 469974 463971
      457971 447962 445957 443956 440957 437957 436959 436969
      436973 433975 428971 424968 419965 413963 410961 409962
      402963 398968 391977 387981 385988 385992 383995 387997
      389000 391000 394000 396998 399994 405992 415996 421000
      424006 424011 423013 421020 426033 425043 425048 422050
      420049 419045 417038 414039 411043 408042 407040 404033
      399030 395025 382042 384036 384028 381022 377017 371008
      367007 367010 368016 370022 370028 370033 369035 367039
      368043 367047 362051 358053 356055 357058 359059 361056
      363055 366057 363064 362066 363068 368072 370070 373070
      374071 376078 381083 387084 390081 393081 395085 394094
      396094 400088 402086 403090 405095 404106 403112 406117
      408119 412115 416111 419106 422102 427099 430098 432100
      437105 441103 446100 448098 449102 449109 447116 447121
      450122 454118 455115 456111 457101 455093 451078 447069
      443067 436065 433063 436061 442059 447061 450062 451066
      451071 454072 457072 458068 460061 463054 470045 472045
      473049 469055 469058 471058 475054 477049 481044 483042
      485042 490046 500052 519053 524055 529053 532053 535056
      538062 539067 543072 547069 551064 554050
 0.01 501026 501024 501021 501018 501016 500013 498011 496009
      495010 495013 493015 493016 492018 491020 492023 493025
      494028 496028 497028 499028 501026
 0.01 479686 477676 474668 472667 469668 465673 468692 468696
      466699 461703 456709 451711 447714 444713 442713 443716
      447716 448718 446724 446727 449727 452726 454723 459719
      465716 469717 472716 474710 476703 478695 479686
 0.01 477860 475853 472848 468843 464844 461859 460868 460872
      461876 463881 464886 464891 460896 459898 460903 462920
      467920 469915 470907 471897 475885 477882 477877 476870
      475865 476862 477860
 0.01 457035 455028 452025 448025 444022 440024 438021 435023
      428030 429035 429039 429056 430059 432059 435056 439051
      438043 439034 440028 443028 445030 447035 448038 451039
      455036 457035
 0.01 450085 451083 449081 448080 447080 446078 445077 444076
      443076 441075 440076 441079 442081 442082 444084 445087
      447089 449087 450085
 0.01 448850 448848 446846 444848 444849 443851 443853 445855
      446853 448850
 0.01 314099 314093 315088 316081 314079 315075 317069 317063
      314054 312051 309051 305053 303056 301063 295071 293076
      293083 295088 298092 301096 305100 310101 314099 314099
 0.01 294839 293826 292822 291820 287822 285824 281825 278829
      274832 271837 268843 268849 266860 271863 274867 276873
      283873 284867 288864 292851 294839
 0.01 277032 278024 277018 273007 274999 276993 278988 280983
      279978 277978 275978 275982 271993 267997 262000 258002
      254006 251009 248014 244024 243032 243039 245045 243050
      241065 239071 238077 238084 245086 248086 253084 259075
      263071 266067 274044 277032
 0.25 444041 444038 444036 443035 443036 441038 440040 441042
      443043 444041
 0.25 414793 415788 414783 411778 409776 406778 403783 401788
      396793 393794 397794 403795 406799 410803 413799 414793
 0.25 405712 405708 404705 402702 400700 397703 395705 395708
      396712 397715 398719 400721 403721 404719 405715 405712
 0.25 392796 392794 391794 390795 388797 386798 385799 385800
      383802 385804 387803 388802 389801 390799 391797 392796

24HR QP VT 16/00Z
 0.01 566052 563039 561032 559025 555015 550008 543002 534996
      518985 503971 497965 491959 487955 483951 481947 477939
      472932 465927 462930 462936 465950 468961 471971 475982
      480994 489015 493025 498037 500042 502047 503054 502061
      498074 495081 491084 480102 479108 481112 489119 496126
      501134 501137 498138 494136 489133 485128 480126 476124
      472125 469130 470134 468139 467143 464144 460146 457150
      455154 452165 450173 448177 445182 442187 443193 448195
      457192 464188 472180 478174 482172 486174 490175 493180
      494184 492188 488192 485197 481199 473202 465206 455208
      448211 441216 436218 433222 423225 420227 417232 417237
      418239 422242 428245 430244 439239 447237 448239 447241
      445247 441256 443260 446261 448264 446268 446271 448276
      456274 451284 450288 450293 454296 465300 468299 472300
      490297 495297 501298 505296 508293 514287 519276 520271
      522266 522258 520251 519248 520244 521237 523232 527226
      531222 536212 539205 540197 540182 538175 535170 534166
      534161 535153 534148 534143 533137 529126 522117 520109
      519103 518085 517077 519072 521069 523070 525076 527084
      529088 531095 534099 539102 544104 549104 553102 557097
      559092 562085 563076 564071
 0.01 499919 499914 497909 493903 490901 487901 484901 482897
      481893 482889 485879 484867 482859 478853 478841 476832
      476827 477824 480816 481805 480793 478789 477782 476778
      475773 471765 468759 463758 458763 456772 454776 452779
      449775 448770 451752 453743 452738 447736 443737 439738
      436740 430745 426750 419754 414760 406769 397784 391789
      386792 381797 379800 380805 382807 385806 389803 395798
      398795 400793 403794 403809 400828 397835 396838 396842
      398847 401848 404848 407845 410843 412842 414845 413849
      413854 412863 413867 414873 418879 421884 425883 427881
      433876 447875 452875 454879 453886 450889 448891 444892
      441897 443902 445905 449907 452910 455913 460915 464918
      467918 469918 472919 474923 474927 475931 479937 482942
      488947 491946 492941 496932 499919
 0.01 447976 444970 440966 431956 421947 417945 414942 410942
      408940 405939 398938 393939 393943 394947 395952 396954
      400959 405963 409968 421975 431980 435981 438983 441983
      443981 447976
 0.01 385049 381046 378042 375039 371041 364040 358038 357038
      356042 358049 359054 365052 370050 377051 383051 385049
 0.01 363704 362699 360696 356693 347696 345694 341695 334697
      329700 323705 319707 315708 313710 309714 306720 305723
      304727 304735 302742 296753 291765 290768 290772 291777
      290782 289788 290797 292803 294805 298805 300803 303804
      307804 308802 311788 312784 315781 319777 323772 327766
      331761 333757 341744 344739 346733 354722 357718 360713
      363704
 0.01 310083 311075 310068 309060 308054 308044 308040 306038
      303032 299028 296024 292018 291012 289007 288997 289987
      293975 297961 301949 303941 304934 304924 305918 307889
      301878 290870 286868 279867 275869 273874 267886 265892
      262898 258911 253921 243945 235953 233959 233966 234974
      237981 237985 236993 233999 232007 231022 231031 233037
      234041 236042 242045 244050 245058 246065 247070 251076
      255080 260084 265084 268083 272084 279082 284081 289084
      294087 296095 299099 303099 305098 307096 308091 310083
 0.01 286833 286823 285818 281818 276823 273830 271837 272847
      274855 275858 278859 281858 282854 284846 285837 286833
 0.25 558051 558044 557040 556035 554031 543025 530016 519009
      515004 511001 508001 507005 509008 509014 511018 518033
      521039 526045 537054 543058 549061 554059 558051
 0.25 528191 527185 526181 523178 518176 515174 512170 508169
      507177 507183 512184 517186 520189 524192 528193 528191
 0.25 516270 518265 518260 516254 515247 510242 507240 504241
      504247 505255 505263 507269 510275 514276 516270
 0.25 513223 513221 513220 512218 510217 508217 507218 506218
      505220 504221 504222 505224 506224 507225 509226 511226
      513224 513223
 0.25 497276 497273 497272 497271 496269 495268 493269 491271
      490273 490274 491276 491277 493278 494277 495277 497276
      497276
 0.25 496223 496221 495219 494218 494216 492216 490215 489215
      488216 487216 485217 485220 486222 488223 489223 491223
      493223 494224 496224 496223
 0.25 471218 471216 470216 468217 467217 466217 465219 466220
      467221 469220 471219 471218
 0.25 473855 473853 472850 471850 470848 468850 468851 467853
      467856 467858 468861 469863 470864 472864 473863 474860
      473858 473855 473855
 0.25 457805 456801 454796 452795 450797 448800 445805 443810
      444815 445819 448822 452821 454818 456813 457807 457805
 0.25 323719 322718 321718 319720 318722 318724 318727 319726
      320726 322724 323721 323720 323719
 0.25 316738 316733 314735 310741 307748 305755 302762 300770
      300779 303779 305776 308769 311762 313755 316749 317743
      316738 316738
 0.25 304074 305070 306066 305061 303059 301058 297058 296061
      295063 294067 294071 295073 296075 300077 302076 304074
 0.25 297916 297912 295908 293905 289904 284904 281905 275910
      270915 265920 257933 251939 248945 245954 243964 243969
      244975 247981 246987 244991 240998 237015 236020 237024
      239028 242031 248036 253041 253048 257055 264058 271060
      274059 275053 276042 273033 272029 273024 278005 282988
      286970 289960 291952 296934 297924 297916
 0.50 514261 513258 513257 512255 512253 511252 511251 509251
      509254 510256 510257 511259 511260 512262 514261
 0.50 294922 293915 289911 285910 281911 277914 270924 263933
      255943 250954 247960 247968 250975 252980 248991 242004
      239016 241022 244027 249028 256028 261029 266025 272015
      276001 279988 283973 286960 290945 294922
 1.00 289929 288926 285925 279925 274924 272927 267937 264947
      260957 257962 257966 261970 262976 263981 262986 259990
      255993 251996 247999 244009 243014 245018 250021 255021
      260019 263017 267012 268007 270995 272989 274985 278974
      281964 285952 289929
 1.50 281952 282943 282939 279938 275941 272946 269952 268958
      266960 266964 267970 270974 275972 277966 279960 281954
      281952
 1.50 262009 262004 260002 258001 256000 253999 251000 249003
      248006 247010 247012 247014 249016 252017 256016 258015
      260014 261011 262009
 2.00 276960 277958 277956 277954 277952 276951 275952 274954
      273956 272958 271960 271962 271964 272966 273966 274965
      275964 275962 276961 276960
 2.00 257008 257006 256006 255004 254004 253004 252004 251004
      250006 249007 249008 249010 250012 251013 252013 254012
      256010 257008

24HR QP VT 17/00Z
 0.01 456625 455633 454638 451650 449657 450665 448677 435697
      430701 424702 420699 416701 412706 410711 406722 399730
      390737 383739 377739 374737 371731 366720 364704 363695
      364690 368680 372668 379659 386647
 0.01 558032 557020 556012 554006 548998 543992 520971 509962
      497949 495949 492947 486942 482933 477927 457893 449879
      445870 441863 437862 438859 440858 444856 447856 450857
      453857 455860 460867 467882 468886 471888 475887 478883
      481882 485878 485869 484861 479855 475847 467831 460813
      458803 456791 451772 452768 454770 456774 461782 465784
      468784 472783 473779 476769 478754 477742 476735 474730
      470724 464720 461710 459704 457702 449701 445706 440713
      433717 429722 427732 425738 421740 418743 418747 419752
      416757 415764 410765 405773 402781 398788 393794 388800
      389806 392807 398814 407813 412820 415830 419839 420848
      418851 419854 422860 425861 426864 428869 432881 432888
      434892 438899 446917 450937 452945 447952 440966 433985
      430993 425001 416018 412026 414031 413038 413044 412051
      405056 398059 393063 391064 391068 395076 406088 392114
      388116 386118 386122 388123 393124 397122 402123 407124
      409129 414134 411136 406137 402137 399140 396142 396147
      401153 406160 411167 415170 418169 422169 423173 421175
      418182 418185 421190 426191 431191 437192 446190 450189
      453187 459181 463175 469171 483164 487159 489154 492151
      502153 506153 509152 511149 511145 511133 509122 506112
      499091 495082 491073 488064 488058 488054 490051 490047
      493042 497036 504032 512032 516034 519036 524042 528045
      530049 534056 538059 541060 547055 552051 554043 558032
 0.01 520271 522267 523259 524250 524245 523238 522232 521226
      519225 514228 510229 504223 502220 503216 506211 506208
      504203 499200 495201 490201 487202 472208 463211 454212
      446213 441214 438216 434220 434226 443227 452226 460224
      465224 470223 478221 486223 490226 493230 488232 483231
      474230 471235 470240 470251 472258 473263 479271 482275
      480279 474285 470289 468295 466301 467306 473313 480313
      485311 489311 494310 497307 503302 509295 514286 518277
 0.01 484032 481019 481014 478012 476006 473001 470009 470016
      468021 467036 468040 470038 474039 473049 470061 473061
      476056 480047 482042 482035 484032
 0.01 445125 444121 441119 435121 429125 426134 426140 427144
      427153 429157 432161 434158 434155 435143 439136 443130
      445125
 0.01 440842 440834 439827 437821 436816 434811 430810 427811
      427815 427822 428829 430833 432840 432845 436849 438848
      439844 440842
 0.01 329722 326707 326705 323705 319708 314712 312715 307724
      303733 298741 289759 286764 284769 282779 284794 286798
      290797 293792 295791 297794 300796 306795 311787 311780
      312775 314763 318755 320748 322743 325734 329722
 0.01 326934 326924 325921 325917 322911 317909 311909 307912
      302915 295918 289918 288909 287892 285886 282886 277875
      276871 272869 267870 265875 263881 255905 251911 247916
      242919 239923 239937 236941 235948 240960 239966 238974
      238983 237991 235005 234024 237029 243031 247036 252038
      252042 250044 245046 239051 237055 240060 245063 254071
      259072 265075 272079 278080 285081 285074 281061 280056
      281051 283051 295044 297039 299032 300024 299017 306007
      310993 310985 312978 319952 323941 326934
 0.25 442630 442639 442650 443658 443664 442669 438676 433683
      430685 425688 416690 411696 406703 403710 399713 395713
      391713 387712 381707 378699 377689 379679 382672 386664
      390658 396652 402647 411640
 0.25 514277 515271 515266 509260 505259 502259 497263 494272
      491284 490290 490295 492298 496299 502296 506291 510284
      514277
 0.25 488136 489131 487129 485126 483124 481122 480122 478127
      477129 474131 477134 479135 482136 486137 488136
 0.25 478117 475106 472101 468099 463097 460094 458089 456083
      452074 447065 444062 439061 436063 434068 434072 437073
      441074 448080 451085 451091 446091 440089 434089 429087
      426088 425091 427096 429101 427104 424107 424110 426112
      437112 447111 451111 456110 460110 464112 472116 476118
      478117
 0.25 471158 470153 468147 468142 463140 460141 457145 455149
      454157 456161 461162 465162 469160 471158
 0.25 442757 443750 440745 438746 435751 434756 433761 434768
      433773 434779 435773 436768 438765 441761 442757
 0.25 429791 428786 427781 425781 424782 422785 421787 419792
      419795 418798 418802 420802 422801 424798 426796 427793
      429791
 0.25 284995 284990 283987 280983 274972 274966 276960 279947
      282940 281933 277929 272925 263927 259931 256935 250945
      248952 248960 247965 249967 255968 259968 264972 262979
      259984 256989 252994 244003 241008 240015 243022 248026
      253027 258025 267016 273005 276003 280001 284995
 0.50 433633 435636 437642 436651 436657 435662 432667 420678
      408686 404692 401699 400704 397706 391703 387696 384687
      385678 388670 391663 395658 406648 413643 419639 426635
 0.50 511276 509271 507267 503270 501273 498277 496283 494288
      496291 499291 502288 506284 508281 510277 511276
 0.50 466154 465152 464152 463151 462150 460150 460151 461153
      462155 463155 465156 466154
 0.50 258012 260008 259004 256002 253004 251006 249008 247009
      246012 246016 249017 252018 255016 257014 258012
 1.00 425652 424649 421650 417651 414653 413654 411657 410659
      411661 412663 416663 419661 421660 422658 424655 425652

$$





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