Quantitative Precipitation Forecast
Issued by NWS

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500
FXUS04 KWBC 132256
QPFPFD

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


FINAL 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 431634 437637 441643 448639 451641 452646 450654 447661
      441669 438671 433672 428688 425707 422715 424719 426722
      423723 422725 422728 426731 431730 430741 432752 432759
      435761 435773 435784 436791 437794 441798 442798 445794
      449796 454801 455804 455809 452816 452824 454828 456833
      456838 453840 449842 458847 452862 449870 444877 438880
      434883 429883 416878 412877 410875 406873 405871 408869
      408862 405858 401857 398860 395859 394855 393849 393837
      394832 394826 392820 388820 379821 375823 373826 369831
      370820 367817 364819 362823 361826 358830 358828 360820
      361817 364815 369814 371811 377805 387792 393787 395777
      396774 395768 394762 391762 383746 381737 382733 380728
      377719 376713 375705 375701 376696 378689 383674 386670
      389666 394661 400655 404649 422636
 0.01 547044 547035 546027 546022 545020 543014 540011 535008
      526004 520004 518001 515001 503999 500999 498996 497988
      485987 480987 477986 475984 469974 465971 458971 455971
      452969 450964 448960 443958 442957 440959 438962 436969
      432971 428969 424966 419963 409961 400965 396970 393972
      389977 387981 384989 383995 386999 392000 396000 397998
      400995 403994 406994 413994 422001 424006 425009 423013
      420017 420020 421022 423027 426032 426040 424049 421050
      419048 418042 417038 415038 411042 409043 408041 405035
      397027 394025 389025 389033 387040 386043 383045 384038
      384029 382024 376015 372010 368007 367008 367012 368014
      368019 370024 369033 367039 368043 365049 361052 356055
      357058 361057 362055 364058 362065 364069 369072 371069
      374071 375073 376077 377078 381083 386084 390082 392081
      395082 394091 395096 397091 402088 404094 404102 403114
      404116 407117 410117 412115 420107 423103 427101 437103
      446100 449102 450105 448113 447117 447122 450122 452119
      456114 457106 457098 455093 451080 450075 448070 443067
      438066 435065 433062 435059 437059 440060 445059 449061
      452064 452069 452071 456071 459067 459060 462054 465051
      470047 472049 471053 469056 471058 473059 478050 487044
      495050 497051 501052 503052 506050 511048 516049 528050
      539051 547044
 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 465674 468692 468696
      466699 461703 457709 451711 447714 444713 442713 443716
      446715 448717 446724 446727 448727 452726 454723 456721
      459719 465716 471716 473714 474710 476703 478695 479686
 0.01 476882 477877 476873 474865 474855 474850 472848 468845
      464844 462846 462851 461859 461868 460871 461876 463881
      465887 459898 460905 461915 462920 463920 467920 468917
      470910 470902 472895 475888 476882
 0.01 456035 455029 452025 448025 445024 445022 440021 437026
      434028 428029 428037 429043 429051 430059 434057 437054
      439052 437048 436035 438031 443030 448032 452036 455036
      456035
 0.01 450085 451083 449081 448080 447080 446078 445077 444076
      443076 441075 440076 441079 442081 442082 444084 445087
      447089 449087 450085
 0.01 445855 448849 449846 448844 447844 445847 444849 443851
      443853 445855
 0.01 314099 313093 315088 316082 314079 315075 317069 317063
      314054 310051 307051 305053 303056 301061 295071 292081
      297090 303097 306100 312101 314099
 0.01 294841 293833 293826 292822 290820 288820 279827 275832
      271836 269841 268843 268847 266860 273866 275873 281873
      283873 283869 286864 290860 291858 292853 294841
 0.01 277032 278025 277020 276015 273009 273002 275996 279987
      279980 279978 276978 273989 270993 267996 264999 258002
      252008 247018 243027 243035 244040 245043 244046 242051
      241066 241072 243077 246079 252077 260074 266066 274044
      277032
 0.25 467900 467898 466900 467901 467900
 0.25 444041 444038 444036 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 407726 407721 407717 407712 406708 403706 400709 399712
      398714 398719 398723 400727 402729 404731 406732 407728
      407726
 0.25 392796 392794 391794 390795 388797 386798 385799 385800
      383802 385804 387803 388802 389801 390799 391797 392796
 0.25 264045 264043 262042 257043 256049 256055 254059 251061
      249064 251067 254071 258067 260063 260057 259054 261051
      263047 264045

24HR QP VT 16/00Z
 0.01 519276 521267 522256 521250 521243 522240 528220 532214
      536210 538208 539203 541194 540188 539180 536174 534166
      535150 535140 535136 533132 527119 523113 522103 520094
      521088 522082 523076 524071 527072 531085 534093 538097
      544099 549099 556089 561074 563065 564056 564049 563044
      561033 559027 556022 548014 541007 532999 524991 515983
      511980 506975 501970 496963 492959 489954 484951 480946
      474937 467927 462927 464933 467949 469952 469957 472964
      474972 476981 481995 485007 488012 490018 494031 499045
      501054 501064 500070 499073 495079 487092 484098 483106
      484110 489116 496125 498126 499132 497135 494133 490131
      486130 484128 477126 473128 469137 466144 465150 463152
      459157 456162 454166 448180 445187 444189 444192 445194
      448195 450193 454194 459193 461193 463191 468187 472183
      478178 483176 487176 491177 495181 493187 490192 487196
      482199 472201 462206 453211 442215 432220 420227 417234
      420240 424242 429246 440244 441242 444244 443254 450264
      448267 447271 449274 452275 454275 458272 457277 455281
      452287 452292 464297 476297 486296 490296 495295 506293
      510291 514288
 0.01 497921 497910 495903 493900 490899 485899 481898 483890
      484880 485872 484864 480857 478849 477844 475840 474833
      474826 477820 481812 480794 478792 478786 475777 467762
      463760 458763 455769 451775 449776 447774 445769 446763
      447754 451746 453740 449736 439742 429750 419763 415767
      410774 402781 391789 386795 383801 384807 390804 402797
      406797 406801 404809 401816 399825 399830 398835 398839
      402846 409845 413845 415850 415861 414865 414868 419876
      445873 451877 454879 453884 449890 446894 443896 443903
      446909 450913 455915 463915 467915 469918 478931 484944
      486947 488947 490945 491942 495929 496924 497921
 0.01 454238 453236 451235 450237 451238 452240 454238
 0.01 443981 443975 442971 439966 431956 421947 412940 407940
      404940 400938 395940 393943 396951 398957 408966 417973
      424976 429980 435983 441983 443981
 0.01 381051 381046 378042 374041 369041 364040 360038 357038
      356044 358049 359054 361054 367052 370052 376051 381051
      381051
 0.01 361700 360695 358693 351693 344694 340696 338698 330700
      325704 323707 319708 312708 310712 307712 305714 303727
      301734 301738 300742 298748 294754 292760 290767 288781
      288790 290800 295803 298802 299800 303800 306798 310792
      313788 316781 318775 322769 328759 336747 342737 355714
      361700
 0.01 310087 311079 311071 310064 309054 309047 307042 303030
      296024 290013 290005 290995 291981 291972 293966 295959
      298952 302940 305928 308895 308888 305883 298876 292872
      286870 280871 276871 273873 268876 266880 263892 262894
      261899 258905 256911 253917 248927 244937 241943 237947
      235952 234963 234970 235977 236984 236991 232004 231012
      231017 232021 232028 233034 235040 237045 239050 243055
      249067 254075 259079 264082 274081 280079 287082 301098
      305096 308094 310087
 0.01 286829 285819 283817 279817 275822 273830 271837 270845
      272853 275859 279859 280856 282848 285842 285831 286829
 0.25 556051 557045 555040 553034 549027 544023 534016 522010
      516008 515006 511006 510009 511014 513022 515032 517038
      521045 524050 533060 539064 542065 546063 551060 554056
      556051
 0.25 532198 531193 528188 527184 524180 521176 518174 514173
      513178 514182 515188 518193 521195 526197 530198 532198
 0.25 515272 517265 516259 515253 514248 511244 507241 505247
      504255 504260 506266 508271 511273 514273 515272
 0.25 497278 498276 499274 498271 498270 496269 495268 493268
      491268 489270 488272 489274 489275 490277 491278 492279
      493280 494280 496278 497278
 0.25 497229 497228 496226 497224 496222 495220 493219 492218
      490216 488217 487217 486218 486220 488221 489223 489224
      490227 492227 494228 496226 497229 497229
 0.25 482216 482214 480215 478215 477215 478215 480216 482217
      482216
 0.25 456813 456808 456803 454801 453798 449799 448801 446804
      446807 445810 444814 444817 444819 446822 450823 453822
      454819 455815 456813
 0.25 451852 449851 448853 448854 448855 448856 450856 450855
      451853 451852
 0.25 440765 440762 440760 439758 438760 438763 437765 438767
      438768 438767 439765 440765
 0.25 315744 314738 311738 309740 307746 305751 303757 301764
      300770 302774 304772 307767 310762 313756 314751 315744
 0.25 304076 305072 306068 305064 305060 303059 299059 297060
      295062 294065 294069 294073 294075 296078 299079 302078
      304076
 0.25 298920 297910 294903 288902 282903 272913 264921 255933
      250943 247951 245960 245970 246978 245987 242994 236007
      235015 237023 241028 246031 252034 259035 266033 270028
      274022 277015 280999 286967 290950 294937 298920
 0.25 279065 279057 278049 275040 269037 264039 258043 256046
      255051 258057 262062 269066 277068 279065
 0.50 292927 292918 289913 285912 279914 275918 272923 265931
      261935 258940 253950 251956 250963 250969 251976 252981
      250988 244998 239009 239016 241021 244025 251028 258027
      263025 267022 270017 273011 274005 277992 281980 284965
      287952 290939 292927
 1.00 287935 287928 287924 285922 282923 278927 271934 266943
      263954 262966 262981 262987 260993 251998 248001 245006
      243010 243016 245020 248022 253022 258020 263017 265013
      268002 268995 270989 275980 279970 285947 287935
 1.50 281954 283945 281937 277938 274941 271947 269954 268960
      268967 272971 276968 279962 281956 281954
 1.50 258012 259008 259004 256002 255002 252002 249004 248006
      247008 247012 247014 249016 252017 254016 257014 258012
 2.00 279954 279949 280945 278945 277947 276950 274954 273956
      272960 272962 272964 275964 276962 277960 278956 279954

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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