Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 241843
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
243 PM EDT MON AUG 24 2015


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID AUG 25/0000 UTC THRU AUG 28/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...

...GREAT LAKES/EAST COAST...

A FRONTAL ZONE ARRIVING INTO NEW YORK AND THE MID ATLANTIC REGION
WAS BRINGING WITH IT A RELATIVELY NARROW ZONE OF ENHANCED MOISTURE
CONTENT. THE ADDED MOISTURE...ALONG WITH SUFFICIENT HEATING SHOULD
YIELD ENOUGH INSTABILITY FOR SCATTERED TO NUMEROUS THUNDERSTORMS
THIS AFTERNOON AND EVENING. POOR MID LEVEL LAPSE
RATES...HOWEVER...WILL INHIBIT UPDRAFT STRENGTH AND THE OVERALL
COVERAGE AND EFFICIENCY OF RAINFALL. THESE LAPSE RATES ARE NOT
LIKELY TO IMPROVE MUCH...AS DEEP LAYER LIFT WILL BE MARGINAL
JUDGING BY WEAK HEIGHT FALLS AHEAD OF AN ALREADY STACKED UPPER
CYCLONE. WITH THE STACKED SYSTEM BEING WELL HANDLED BY THE
MODELS...RUN TO RUN QPF CHANGE WAS MINIMAL. WE BLENDED TOWARD THE
12Z GFS AND WRF-ARW FOR SOME OF THE DETAILS...EXPECTING GENERALLY
0.10 TO 0.75 INCH AREAL AVERAGE AMOUNTS TODAY THROUGH TOMORROW
ALONG THE NORTHERN HALF OF THE EAST COAST...WITH HEAVIEST AMOUNTS
OVER NEW ENGLAND.

FARTHER DOWN THE COAST...NARROW BROKEN BANDS OF THUNDERSTORMS ARE
EXPECTED AHEAD OF THE SLOW MOVING TRAILING FRONTAL ZONE BOTH TODAY
AND TUESDAY...AGAIN AMOUNTING TO 0.10 TO 0.75 INCH AREAL AVERAGE
AMOUNTS OVER THE CAROLINAS. IN FLORIDA LIGHT BUT INCREASINGLY
WESTERLY LOW LEVEL FLOW WILL FAVOR CONVERGENCE OVER NORTHEAST
FLORIDA THIS AFTERNOON...WITH SEA BREEZES MEETING IN THE CENTER OF
THE PENINSULA FARTHER SOUTH. ON TUESDAY THE SURFACE FRONT WILL
SINK INTO THE STATE...CONFINING THE HEAVIER AREAL AVERAGE AMOUNTS
TO THE WARM SIDE OF THE FRONT OVER THE CENTRAL AND SOUTHERN
PENINSULA. WPC FOLLOWED THE 00Z SSEO MEAN INITIALLY...AND THEN THE
12Z GFS ON TUESDAY.


...TEXAS / LOUISIANA...

THERE IS A VARIETY OF MODEL QPF SOLUTIONS OVER TEXAS AND
LOUISIANA...BUT MOST DEPICT ONE AXIS OF PRECIPITATION AHEAD OF A
SLOW MOVING COLD FRONT IN CENTRAL/SOUTHEAST TX TO SOUTHERN
LA...AND A SECOND AXIS WITH ITS ORIGIN IN MID LEVEL
MOISTURE/ASCENT OVER NORTHEAST TX TO NORTHERN LA. MODELS WERE
TRENDING DRIER IN THE VERY EARLY TIME FRAME THROUGH THIS
EVENING...AND MORNING SOUNDINGS WERE NOT VERY UNSTABLE EXCEPT AT
LAKE CHARLES. WE MAINTAINED A LOCAL QPF MAXIMUM IN THE VICINITY OF
SOUTHWEST LA...BUT CONSTRICTED QPF CONTOURS ELSEWHERE. EXPECT THE
SURFACE BASED CONVECTION TO PUSH OFFSHORE OVERNIGHT...BUT ELEVATED
CONVECTION MAY BE SUSTAINED EAST OF I-45 INLAND AND EXTENDING UP
TO NEAR A WEAK MID LEVEL TROUGH AXIS OVER NORTHEAST TX. MODELS ARE
A LITTLE MORE GENEROUS WITH PRECIPITATION ON TUESDAY AFTERNOON AS
A SHARPER MID LEVEL WAVE DIGS INTO THE REGION FROM THE NORTH. WPC
BLENDED THE PREVIOUS FORECAST TOWARD THE 12Z GFS...WRF ARW...AND
WRF-NMM...WITH SOME INFLUENCE ALSO FROM OUR LATEST IN-HOUSE
ENSEMBLE.


...SOUTHWEST STATES...

MONSOONAL MOISTURE WAS RUNNING CLOSE TO AVERAGE...WITH NO MORE
THAN 2 STANDARD DEVIATIONS FROM CLIMATOLOGY SHOWING UP IN THE GEFS
STANDARDIZED ANOMALIES PLOTS FOR PRECIPITABLE WATER THROUGH EARLY
TUESDAY. THE GREATEST MOISTURE CONTENT WAS HUGGING THE SOUTHERN
PERIPHERY OF UPPER RIDGING...FROM SOUTHWEST TEXAS ACROSS SOUTHERN
NM/AZ...AND INCREASING TOWARD SOUTHERN CALIFORNIA. THE PREVIOUS
DAY...THE 0.75 PW CONTOUR...EXTENDING FROM FAR SOUTHERN COLORADO
TO NORTHERN ARIZONA...HAD MARKED THE NORTHERN EDGE OF CONVECTION
CAPABLE OF PRODUCING LIGHTNING. THE WHOLE MOIST PLUME AT THE
SOUTHERN EDGE OF THE RIDGE IS FORECAST TO BALL UP ON THE
SOUTHWESTERN FLANK OF THE RIDGE THROUGH TUESDAY...WITH PW VALUES
FALLING OVER PARTS OF CO/NM...AND INCREASING FARTHER WEST. PW
ANOMALIES WILL RISE TO 2.5 STAND DEV OVER SOUTHERN CA BY TUESDAY
AFTERNOON. IN THE EARLY STAGES OF THIS PROCESS...POST FRONTAL
UPSLOPE FLOW GIVES SOME CONCERN FOR HEAVY RAINFALL OVER SOUTHERN
NM AND SOUTHWEST TX THIS EVENING. OTHERWISE...THE POTENTIAL FOR
LOCALLY HEAVY DOWNPOURS WILL SHIFT INTO AZ/CA LATE THIS
EVENING...AND BEGIN TO BUILD NORTHWARD TUESDAY AFTERNOON. THE
PREVIOUS WPC FORECAST HAD THIS REGION HANDLED WELL. WE MADE MINOR
ADJUSTMENTS TOWARD THE HRRR IN THE EARLY HOURS AND THEN THE 12Z
NAM.

DAYS 2/3...

SOUTHWEST TO GREAT BASIN/ADJACENT ROCKIES/NRN-CNTRL PLAINS...

MONSOONAL MOISTURE INTERACTING WITH WELL-DEFINED SHORTWAVE TROUGH
LIFTING AROUND THE WESTERN PERIPHERY OF AN UPPER HIGH OVER THE
SOUTHERN ROCKIES IS EXPECTED TO SUPPORT AN INCREASE IN COVERAGE
AND AMOUNTS ACROSS THE SOUTHWEST...WHICH ROTATES ACROSS PARTS OF
THE SOUTHERN AND WESTERN GREAT BASIN BRINGING PCPN TO THE WESTERN
FACING SLOPES OF THE CENTRAL ROCKIES ON DAY 2.  BY DAY 3...THE
RESULTING TROUGH IS EXPECTED TO CROSS PORTIONS OF NORTHERN/CENTRAL
PLAINS WITH AN ACCOMPANYING SWATH OF CONVECTION.  OTHER THAN THE
12Z NAM WHICH LIED NEAR THE DEEP AND FAST EDGES OF THE GUIDANCE
AND THEREFORE WAS NOT USED...THE REMAINING SOLUTION ENVELOPE IS
SOMEWHAT MODEST...WITH THE SLIGHTLY MORE NORTHERN 12Z GFS USED IN
CONJUNCTION WITH THE SLIGHTLY STRONGER AND MORE SOUTHERN 00Z
ECMWF.  A SIMILAR APPROACH WAS USED ACROSS THE SOUTHWEST/GREAT
BASIN/ROCKIES ON DAY 2 AS WELL...ALTHOUGH MIXED WITH SOME 12Z NAM
ON WHEN ITS SOLUTION ALIGNED BETTER WITH OTHER GUIDANCE.

GREAT LAKES TO THE NORTHEAST...

OVERALL...THE MODELS REMAIN IN GOOD AGREEMENT WITH THE CLOSED
UPPER LOW MOVING EAST OF THE GREAT LAKES ON WEDNESDAY.  MOISTURE
WRAPPING AROUND THE BACKSIDE OF THE SYSTEM SHOULD SUPPORT AREAS OF
LAKE ENHANCED QPF...WITH AMOUNTS GENERALLY LIGHT TO LOCALLY
MODERATE.  ADDITIONALLY...MAINLY LIGHT AMOUNTS ARE EXPECTED ACROSS
PARTS OF THE NORTHEAST ALONG AND BEHIND A COLD FRONT...ALTHOUGH
THERE REMAINS A NARROW WINDOW OF ENHANCED ASCENT AND MOISTURE FLUX
GRAZING NORTHERN MAINE THAT SHOULD CONTRIBUTE TO SOME HIGHER
TOTALS ON DAY 2.  GENERALLY SPEAKING...A MODEL CONSENSUS WORKED
WELL FOR CONSIDERATION OF QPF ON BOTH DAYS...WITH CONTRIBUTIONS
FROM THE 12Z NAM/GFS/00Z ECMWF.

SOUTHEAST...

A LINGERING FRONTAL BOUNDARY REMAINING NEAR OF JUST OFFSHORE OF
THE CAROLINAS ALONG WITH PERIODIC SEA BREEZE DEVELOPMENT AND A
NEARLY STEADILY FORMING SURFACE LOW OVER SOUTHERN GEORGIA ARE
LIKELY TO BE THE PRIMARY FOCUSING MECHANISMS FOR OCCASIONAL
CONVECTION FOR BOTH DAYS 2 AND 3...WITH ALL SOLUTIONS EXCEPT FOR
PORTIONS OF THE MORE INLAND 12Z GFS OVER THE
CAROLINAS...REASONABLY WELL CLUSTERED AND EQUALLY CONSIDERED IN
DEVELOPING THE QPF.

BURKE/JAMES

GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV

24HR QP VT 26/00Z
 0.01 539829 539812 538807 535805 530803 526803 522807 519807
      518806 513798 508792 501784 495778 488774 482769 479766
      474764 470763 465764 459770 453776 449779 447784 445788
      444793 439803 436811 435816 437821 444827 440849 441855
      444860 447864 450866 454863 459863 462873 463878 462885
      460896 460902 462907 469911 472912 475910 479907 484905
      494904 500901 505898 508895 512892 514888 517884 521882
      527876 530873 532869 536859 538842 539829
 0.01 521773 521766 521759 519753 519748 519742 517738 514731
      517726 515719 511711 507704 504700 501697 495694 492692
      490687 488680 485678 473672 465674 458677 449681 443687
      439693 433698 425708 420714 413718 404721 400722 398724
      396729 395733 390739 385745 381752 384754 385756 384758
      376764 368745 365746 362748 357752 348762 339774 334780
      329788 315793 311795 307796 296797 282795 272796 261797
      254796 250791 247792 244795 242801 240808 240817 243827
      249831 255831 258833 266835 271832 268826 281825 285826
      288828 294834 296842 296846 294848 286860 280872 272888
      265903 263908 263913 264924 272935 274943 274952 280964
      278968 278974 280977 284978 290975 295976 296978 293989
      292995 292000 294004 298006 303013 306014 310014 313009
      315004 319005 322006 327006 331006 333001 333997 332991
      329984 326978 325974 327969 333966 336960 336950 297903
      292909 290909 289904 285898 285893 286891 298864 305850
      307842 307836 305833 294819 292816 297815 304816 313817
      314822 318824 323830 335824 341821 346815 351809 355804
      364790 367786 370783 373784 378783 391774 406765 412761
      420759 435754 442751 450748 454748 459749 466753 479762
      484766 491770 503775 507777 513778 518777 521773
 0.01 496842 494833 493825 491818 490815 488814 486816 483819
      480820 478822 475828 474832 475838 477845 480849 483851
      487850 491847 496842
 0.01 461183 462176 462170 459166 455168 451178 447187 442195
      438204 435208 436211 443205 449200 455194 458190 459185
      461183
 0.01 455118 453107 452095 449092 445091 442091 437093 433093
      429091 426089 426091 427096 431099 433101 434104 437105
      443099 447101 449107 449112 451117 453120 455118
 0.01 450078 450068 449063 446055 443050 438047 432047 430051
      433056 437060 440065 442072 446077 450078
 0.01 430786 429783 426784 422787 419793 416799 413805 412810
      413817 416817 418819 421815 422808 425801 428795 429788
      430786
 0.01 413104 411099 408094 406098 403103 400105 397107 394109
      386112 377113 372115 370117 367116 363113 361109 363105
      367101 369099 367094 369090 367090 364086 362082 379084
      383086 386085 386074 388073 391073 394069 395065 398062
      404056 406054 403053 398053 395054 393052 390043 385042
      382045 376050 370049 367045 364042 361044 349053 343053
      337052 335048 336040 333036 329035 323040 319049 314055
      309061 308066 310067 319064 322065 320067 316071 312079
      306084 296081 288078 280076 272072 267070 263070 258072
      256077 255082 256086 262092 268092 272094 274103 278111
      283116 288118 291121 291127 295130 300132 303136 306138
      310139 314142 320144 324146 326148 323151 320152 309150
      302153 305156 310158 318165 328167 333169 338172 341174
      342178 347178 350177 354176 355173 351169 351165 353164
      362163 367163 371165 378164 379162 375159 370153 366149
      366146 368144 372138 385128 392121 396117 399115 408112
      413104
 0.01 400028 399023 399016 397011 395009 392006 387006 383006
      381010 383015 386016 390018 393020 396025 400028 400028
 0.01 380192 380189 378187 376184 374183 370182 366182 363182
      361182 358183 360185 362187 366187 369188 373190 374192
      378193 380192
 0.01 345140 345139 343138 341136 341137 340139 341141 342141
      344141 345140
 0.01 351068 346063 341062 335062 332068 327068 326066 324067
      322070 322074 323078 327074 333072 340074 345074 347074
      349070 351068
 0.01 257010 257006 255003 250998 249995 249990 246983 244979
      241978 237979 235982 234986 235989 235994 237997 240004
      243011 246013 251013 255013 257010
 0.25 529841 527834 523829 519827 515829 509841 505852 502857
      498863 494868 493873 493878 494880 499882 506880 509877
      517867 524857 527852 529844 529841
 0.25 510750 509744 507741 504738 506729 508725 506720 498712
      488706 483702 479698 468692 469688 466688 460691 451701
      444705 439709 433713 427715 421719 418724 417730 423730
      431730 438728 441729 441732 439735 442737 449735 453733
      454731 456723 459721 462719 470718 474720 484730 486737
      490742 495747 499750 505752 510750
 0.25 477790 476784 472781 465782 457788 451794 446802 445805
      445812 447814 452815 454818 454823 456822 457815 460805
      463796 468794 473794 476792 477790
 0.25 455850 455847 454846 453845 453844 451844 450845 449846
      448848 448849 447850 448851 448853 450854 451855 451856
      452855 453854 454852 455851 455850
 0.25 425796 425795 423795 422796 422798 421799 422800 423799
      424798 425796 425796
 0.25 413732 412730 411729 409728 407727 405727 404727 403727
      402730 402732 402733 403734 404734 406734 408735 409735
      410736 411735 412734 413732 413732
 0.25 367759 362757 358759 355761 348771 341781 333793 330798
      325803 323801 321802 320805 324805 325808 331806 336802
      341797 346796 350792 356781 364769 367759
 0.25 359129 358125 356120 351115 344107 343103 343098 343092
      344085 342083 339083 335084 335089 336095 337106 340115
      343122 347131 351133 354133 359129
 0.25 332142 332141 332140 331138 330137 329135 328135 327136
      326137 325139 326141 328142 330143 331143 332142
 0.25 323163 325161 324160 322159 320159 318160 320161 322162
      323163 323163
 0.25 333058 334056 332055 330055 330056 332058 333058
 0.25 318984 318979 317977 314976 312979 311981 310984 307985
      306987 305992 307992 310990 313990 315989 317986 318984
 0.25 310945 309939 307933 303920 301914 299913 296914 294919
      293926 293935 291941 288946 285951 284955 288956 288961
      289964 292965 299965 304963 306956 308950 310945
 0.25 298118 298116 298115 297113 296113 296115 298118 298118
 0.25 296101 294094 290091 288086 286084 283084 275082 272082
      271085 277087 282090 282095 280098 281101 285103 292102
      296101
 0.25 287810 286806 283805 278803 272802 265803 258804 254806
      253808 258810 262814 267816 272819 274818 273816 278815
      283815 287810
 0.50 520850 518845 513848 511851 508856 507859 504865 504868
      507870 510867 512864 515859 517855 519851 520850
 0.50 500723 500718 497717 492713 483708 472701 466700 462701
      449707 442711 440714 441718 447717 453715 460712 464711
      468711 479716 488722 494724 500724 500723
 0.50 430719 429718 427718 426719 424720 422722 422723 423723
      424723 426723 428722 428721 429720 430719
 0.50 360767 359763 356765 354767 353769 351772 350774 348777
      348779 344785 342789 345787 348784 350781 352778 353776
      355773 357771 358769 360767
 0.50 353128 352126 352125 350124 348125 349128 349130 351130
      352130 353129 353128
 0.50 299926 299927 299926
 0.50 302947 302945 302943 301941 299940 299941 297942 297943
      297945 297946 298947 299949 299950 299949 301949 302947
 0.50 283808 282808 280807 278806 276806 274806 273807 273808
      271810 273810 275811 276811 277811 278812 280812 281811
      282810 283808

24HR QP VT 27/00Z
 0.01 539864 539848 538845 535842 529838 525828 525823 522819
      518818 516821 508827 505827 504824 503816 503812 504808
      507805 510800 512793 514783 513775 512769 510762 507756
      509744 509736 514734 520732 522728 525723 525718 525714
      524711 518705 516701 517695 506679 501671 495667 480657
      476654 471655 467658 462659 457659 453661 448664 445668
      444673 441677 437680 431682 421684 413686 402688 393692
      377701 372707 364714 356721 348728 336743 315772 306785
      297788 287791 283792 279796 276798 272795 274785 275777
      272766 270764 268765 263767 256774 250780 244787 241790
      236793 233796 233801 234812 237822 239826 239831 240837
      239842 237850 241852 245851 251848 257840 265835 269835
      273836 277839 279842 277844 276851 275860 270871 258907
      253923 249941 248952 252959 257966 266970 274973 281977
      285980 288984 290988 291994 294007 297011 301009 304005
      308008 312011 316011 322007 324003 324000 314988 312985
      308983 305978 305973 301950 300937 297932 294930 290933
      289935 287937 283928 278920 277912 277904 277892 280881
      281872 285865 292849 295839 295831 299830 301830 298840
      299847 303848 310840 313835 315831 318821 320818 326817
      331816 335813 341806 347800 353794 356787 362770 364766
      368762 377764 377756 383750 390740 401735 407733 412735
      416737 419740 424739 427739 427742 425746 424753 424764
      419773 412779 408780 406782 407787 410791 413791 415788
      419788 420791 418795 413805 413823 414823 417827 418825
      421820 424818 425820 434823 439825 441826 441829 440837
      445836 449834 452832 455835 457841 455844 452843 450843
      447846 442853
 0.01 442853 433859 429860 426862 422862 421865 421867 423867
      430867 435869 438871 443869 447865 452865 465863 466868
      466874 467881 469888 467899 467903 468903 470898 472892
      475887 477882 483879 488881 491885 493891 498892 503893
      506893 512891 516888 523882 530875 539864
 0.01 452134 455108 455102 452097 450094 445093 429084 430078
      435076 439077 441079 446080 449080 448077 448070 448066
      447063 449061 451056 453052 453045 452039 452032 442031
      437033 434035 431039 427041 399050 396050 394048 390045
      387045 384048 373048 366047 363047 361049 358049 356053
      351058 345058 339056 334056 342070 322075 316078 309083
      306085 303084 292083 283080 274076 264072 258070 254068
      249068 249069 253077 259083 262084 265087 276088 282095
      289096 292096 294099 293106 291110 288114 290117 295122
      304126 314127 321132 328140 331143 336142 339138 341142
      343146 342148 342153 339156 332158 327157 323155 316153
      310153 310157 314160 323165 327167 332168 335170 339171
      344172 347170 352162 354159 360160 362162 364162 368162
      371166 377168 383169 388169 394165 393161 397159 403156
      406158 409157 417154 426136 428133 429135 432140 438147
      444148 447143 452134
 0.01 455003 453000 451000 448000 445000 443000 441002 439004
      437007 437009 441012 442012 446012 448012 451010 453008
      453005 455003
 0.01 442733 441731 439729 438731 438734 440735 441735 442733
 0.01 400711 398710 396711 395713 397714 398714 400711
 0.01 396714 395713 393714 392716 391716 390717 388719 387721
      389723 390722 392720 394719 395717 396714
 0.25 506699 505692 503689 497683 486673 480672 475673 470674
      464678 456684 451686 443691 438696 436700 439704 440707
      444710 451713 458714 467713 482715 486715 489716 496719
      500717 502714 504709 505704 506699
 0.25 497845 496837 495832 492828 489826 485824 482823 479826
      478832 480837 482842 485846 488848 492849 496848 497845
 0.25 461800 458799 456796 454796 451796 448797 446800 447805
      448809 449811 452812 455811 457809 458805 460803 461800
 0.25 411110 411103 409100 407101 402107 398107 395106 389105
      385099 383097 384093 388088 388082 387076 385074 379071
      371069 364069 364071 368077 371084 372086 371091 366093
      359095 361098 360103 364108 362111 359112 356114 354112
      348109 343106 339105 335106 333108 333112 336119 343128
      348132 352134 356133 366130 367134 370133 375129 384123
      388118 395115 411110
 0.25 375109 376107 375107 373106 371106 370106 369106 368107
      367108 366110 366112 367113 368115 369116 371116 372116
      373114 373113 374111 375110 375109
 0.25 367748 364747 358748 354750 351753 345760 341768 337771
      332771 328774 325777 321783 316791 311797 304804 303807
      307809 317809 324806 334802 340797 346790 355775 362759
      365753 367748
 0.25 344167 344164 343164 342162 340164 340165 339166 341168
      343168 344167
 0.25 321104 319103 317103 316103 315104 315105 315106 317106
      319106 320106 321105 321104
 0.25 293820 292815 290814 284810 276807 271805 263804 258808
      258811 261813 267816 274819 281821 288821 293820
 0.50 497698 498694 496691 492688 489685 484685 480685 475682
      471682 467687 464690 460691 458690 455691 452693 451696
      452704 456707 461709 466709 470709 475710 485710 491710
      493709 496707 497698
 0.50 408110 408107 408105 407105 406107 406109 407110 408110
 0.50 381081 382078 381077 380076 379076 378075 377076 376078
      376079 375080 375081 376082 377084 379083 380083 381082
      381081
 0.50 358761 357756 353757 350761 349766 344774 340781 335789
      331796 331798 333798 335795 341788 346781 351773 356766
      358761
 0.50 333780 332779 330779 329780 328781 327782 326784 325785
      325786 326787 327786 329786 329785 331784 332783 332782
      333780
 0.50 280815 279811 276810 275809 271808 269808 265807 262808
      262811 264812 266813 269814 271815 275815 277816 280815
 1.00 483697 482695 481694 480694 478695 476696 476697 476699
      477700 478701 479701 480701 481700 482700 483697

24HR QP VT 28/00Z
 0.01 498703 497691 495683 491672 487666 471663 465662 460663
      457666 446675 443678 442683 444689 446690 446694 442698
      435703 433706 432711 432716 432720 431723 425727 421730
      424733 427734 429736 427738 425740 422744 422748 425758
      428766 427772 425777 420782 415784 416795 416801 415807
      412814 411819 411824 415826 418823 422818 424810 427801
      427797 430794 432792 434788 437785 440783 447777 450774
      452768 460756 463760 463767 466776 467783 462786 454790
      447794 441798 436806 437811 452814 457814 460815 463819
      464823 466836 467844 466848 463866 464873 465878 467881
      469885 472886 474884 477881 478876 480864 482852 487836
      493830 495827 497824 498818 499811 498804 496799 492790
      488783 486780 482779 477777 482759 482752 484746 484741
      488737 492736 496733 496729 495722 493717 492711 498703
 0.01 476154 476149 475146 472141 469137 464133 459129 452128
      449129 452135 455140 461142 464147 467152 472157 476154
 0.01 486977 484972 481967 474963 454954 443949 435942 424937
      410937 409936 407937 405940 403945 405947 406950 404949
      400947 388949 381949 379956 380965 384970 388973 394972
      399973 403974 403977 394979 386982 376988 372991 369994
      363003 360007 358016 357024 355027 355032 351048 346049
      340049 331049 324050 321054 321057 323059 328060 334062
      337065 335070 330073 324075 318076 314078 311083 306087
      301087 297085 294083 290084 286088 287092 293100 302108
      310116 315115 321114 323113 325115 325117 326122 328123
      331123 335125 338128 343134 351143 355145 359142 361140
      365140 367143 367147 362151 357152 352150 350152 349156
      352160 360162 372165 379169 385180 387181 392179 396177
      397171 398161 399157 401155 405149 405147 402145 399143
      398140 393140 388135 386131 388127 391124 402123 406121
      413120 419120 419129 421134 424134 425131 432121 437117
      439116 443118 448123 453115 456110 460106 457093 456087
      458079 458076 456075 453070 452066 454062 460060 464057
      465045 465041 464039 460036 454030 455021 454012 450002
      442001 439000 438996 442982 444979 448979 456979 467983
      471985 475985 478984 486977
 0.01 428189 429186 429183 426181 422182 418182 414184 411187
      408189 405193 404196 409198 414198 417196 421195 424192
      428190 428189
 0.01 410026 410022 409019 406014 401010 394010 391011 390014
      386020 383024 384031 387037 392040 396041 399039 403037
      408033 410026
 0.01 370704 369703 365705 357710 353714 351718 346728 336743
      330753 324760 318767 310773 302778 298781 292783 284786
      279789 275791 270792 265791 260789 254789 250790 249794
      248799 248805 250811 249816 246820 248825 259837 270839
      281840 288841 294834 298830 300826 302823 305824 309824
      317820 326816 332809 338799 348784 362768 365760 364753
      361750 358746 357742 358739 362727 366717 368708 370704
 0.01 347172 347168 345165 342160 338159 338164 334165 331163
      325160 319160 323164 325166 328167 333170 340172 347172
 0.25 475690 475687 475685 473683 472683 471683 471686 471688
      471691 469692 468694 467694 466696 466697 467699 468699
      470698 471696 473693 474691 475690
 0.25 456710 455707 454707 453708 452709 451711 453713 454711
      456710
 0.25 448041 447034 446026 444022 441020 437021 433024 430024
      428025 427029 428032 431038 436042 441045 446046 448041
 0.25 431994 431987 428982 424977 421976 418978 415984 412987
      410989 410993 414996 418001 422005 423006 427006 429001
      431994
 0.25 411082 413066 411061 407058 403056 398056 388058 380063
      376066 375073 374078 374084 377089 379091 382091 388084
      397080 398085 399088 402089 405087 409084 411082
 0.25 409966 409965 408963 407963 405962 403962 402962 400962
      398962 396963 395963 395964 393964 392965 393966 395966
      396966 398966 400966 402967 403967 405967 407966 409967
      409966
 0.25 356133 357129 356127 353124 352122 350120 349118 347116
      344114 343118 344120 345123 346126 348128 349130 352133
      354134 356133
 0.25 345767 346760 344756 342756 337760 334765 329775 325782
      322784 318787 311790 308788 306786 302787 294793 290797
      287804 285807 285811 281812 278811 274807 270804 263806
      264811 269816 273818 278819 282819 285821 290823 295821
      299817 304814 310811 323809 331800 336790 342779 344774
      345767
 0.50 444038 443036 443033 442031 441029 440027 438027 437028
      437029 436030 436033 436034 438035 438036 440038 441039
      443039 444038
 0.50 406077 407075 406073 404074 403076 404077 406077 406077
 0.50 340768 338767 336769 335772 333774 332777 331781 330783
      329785 329790 331790 333787 334785 336782 337780 338777
      339775 340771 340768
 0.50 328794 324792 319794 312796 306797 302794 299795 297798
      299802 301804 305803 312802 320800 324797 328794
 0.50 272808 271806 269806 267807 266808 267810 268810 269811
      271810 272808

$$




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