000
FXUS04 KWBC 182158
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
556 PM EDT SAT MAY 18 2013


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 19/0000 UTC THRU MAY 22/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1...

THE 18Z MODEL RUNS WERE IN VERY GOOD AGREEMENT WITH THE 12Z
RUNS..AT LEAST MASS FIELD-WISE..SO
MADE ONLY MINOR CHANGES TO THE PRELIM DAY 1 QPF BASED MOSTLY ON
RECENT RADAR IMAGERY/TRENDS.

...WEST...

VERY UNSETTLED WEATHER CONTINUES FOR THE WRN STATES AS PAC SHRTWV
ENERGY CONTINUES TO DIG INTO THE BACKSIDE OF THE BROAD UPPER TROF
ADVANCING SLOWLY EWD FM THE INTERIOR WEST.  AMPLE MOISTURE..
DIURNAL HEATING AND BROAD SCALE VERTICAL LIFT SHOULD RESULT IN
WIDESPREAD QPF ACROSS THE INTER-MOUNTAIN WEST..ESPECIALLY ALONG OR
JUST EAST OF THE FRONT RANGE OF THE NRN ROCKIES.  MODEL QPFS HAVE
BROAD GNRL AGREEMENT BUT SPECIFICS ARE ANOTHER MATTER.  THE GEM
REGIONAL AND ECMWF APPEAR TO HAVE BETTER AGREEMENT ON DETAILS THAN
MOST OTHER GUIDANCE AND LEANED TWDS A BLEND OF THOSE MODELS FOR
THE FCST.

...PLAINS/UPPER MIDWEST...

THIS IS A QPFERS NIGHTMARE.  THERE ARE SGFNT MODEL QPF DIFFERENCES
NOT ONLY BTWN ONE ANOTHER..BUT ALSO THE SAME MODEL FROM RUN TO RUN
AS THE ATMOSPHERE IMPOSES SUMMER LIKE MSTR WITH SPRING LIKE
DYNAMICS.  BEST THING TO SAY AT THIS POINT IS THAT THE UKMET..AT
LEAST IN REGARDS TO ITS QPF..HAS SHOWED BETTER RUN TO RUN
CONSISTENCY THAN THE OTHER GUIDANCE..PARTICULARLY OVR THE NRN
PLAINS AND UPPER MS VLY.  ITS QPF ALSO HAS SUPPORT FM THE GEM
REGIONAL EARLY IN THE PD AND THEN TO SOME EXTENT THE 18/00Z ECMWF
DURING THE 2ND HALF.  FOR THAT REASON LEANED TWDS ITS GUIDANCE FOR
THE MANUAL QPF.  IN ANY CASE..THERE IS LITTLE DOUBT THAT HGT
FALLS..AND STG JET FORCING ASOCTD WITH THE ADVANCING WRN U.S. TROF
WILL PRODUCE SGFNT RNFL TOTALS GIVEN THE LIFT THAT WILL BE
GENERATED ON BOTH THE SYNOPTIC AND EVENTUALLY TO SOME EXTENT THE
MESOSCALE.  ABOVE TO MUCH ABOVE NORMAL PWS ARE ALREADY IN PLACE TO
SUPPORT THE EVENT WITH A CONTG NWD MSTR FLUX THRU THE CNTRL U.S.
CONTG TO REPLACE MSTR.  ONE BIG FLY IN THE OINTMENT IS TO WHAT
EXTENT THE CAP CAN BE BROKEN OVR THE SRN AND CNTRL PLAINS HENCE
GENERATING SHWRS THAT COULD INHIBIT THE NWD MSTR FLUX AS EXPECTED.

...SERN U.S./MID ATLC STATES AND ADJACENT APLCNS...

A WEAK MID/UPPER LVL LO/TROF WILL CONTINUE TO ADVANCE SLOWLY EWD
THRU THE FCST PD AND GENERATE SCTD AREAS OF SHWRS..SOME VRY
HVY..ACROSS THIS RATHER LARGE AREA OF THE NATION.  MODEL QPFS ARE
BEGINNING TO REFLECT THE WKNG UPPER SYSTEM AND ARE NOW SHOWING
LARGER DIFFERENCES AND RUN TO RUN DISCONTINUITIES.  FOR THE QPF
TOOK A BLEND OF THE GEM REGIONAL AND UKMET WHICH HAVE BEEN DOING A
RELATIVELY GOOD JOB TO THIS POINT IN TIME HANDLING THIS SYSTEM.
STILL SOMEWHAT CONCERNED ABOUT THE POTENTIAL FOR HVY RAINS TNGT
OVR NRN AL/W CNTRL GA WHERE ISENTROPIC LIFT WILL CONTINUE ON THE
BACKSIDE OF THE MID/UPR LVL COOL POCKET.


DAYS 2-3...

...NORTHERN ROCKIES TO THE GREAT LAKES...

WIDESPREAD MODERATE TO HEAVY RAINS ARE EXPECTED FROM THE NORTHERN
ROCKIES EASTWARD TO THE UPPER MIDWEST LATE SUN INTO MON...EXITING
THE ROCKIES WHILE EXTENDING FURTHER EAST THROUGH THE UPPER GREAT
LAKES REGION LATE MON INTO TUE.  A DEEP UPPER CENTER CLOSING OFF
OVER THE N-CENTRAL PLAINS SUN NIGHT IS FORECAST TO BECOME NEARLY
STATIONARY THROUGH THE REMAINDER OF THE PERIOD.  SUPPORTED BY
ANOMALOUS LOW TO MID LEVEL MOISTURE ADVECTION INTO A REGION OF
STRONG LOW LEVEL CONVERGENCE AND UPPER DIVERGENCE...HEAVY AMOUNTS
ARE EXPECTED LATE SUN INTO MON ACROSS THE DAKOTAS INTO THE UPPER
MS VALLEY/GREAT LAKES REGION.  STRONG UPSLOPE FLOW AND LOW TO MID
LEVEL FRONTOGENESIS WILL SUPPORT MODERATE TO LOCALLY HEAVY AMOUNTS
FURTHER TO THE WEST ALONG THE EASTERN MONT BORDER INTO THE
NORTHERN ROCKIES.  RELATIVELY LOW FLASH FLOOD GUIDANCE VALUES
ACROSS MUCH OF THE DAKOTAS EASTWARD INTO THE WESTERN U.P. OF MICH
SUGGEST LOCAL RUNOFF PROBLEMS WILL BE A CONCERN...PARTICULARLY
ACROSS ANY AREAS RECEIVING HEAVY AMOUNTS DURING THE DAY 1 PERIOD.
FOR THE DAY 2 PERIOD...THE WPC FORECAST GAVE STRONGER WEIGHT TO
THE MORE SOUTHERLY ECMWF/UKMET SOLUTIONS.  BY DAY 3...THE STRONGER
DYNAMICS/MOISTURE ADVECTION IS EXPECTED TO SHIFT EAST...EXTENDING
THE HEAVY RAIN THREAT ACROSS THE UPPER GREAT LAKES REGION...WHILE
DRIER/MORE STABLE AIR DIMINISHES THE THREAT WEST OF THE DAKOTAS.
CONTINUED TO GIVE STRONG WEIGHT TO THE ECMWF ON DAY 3...HOWEVER
BEGAN TO DISCOUNT THE UKMET AS IT MOVED TO THE AMPLIFIED SIDE OF
THE GUIDANCE.  CONFIDENCE BOTH DAYS WAS LIMITED BY MODEL SPREAD
AND THE POTENTIAL FOR STRONG MOISTURE-ROBBING CONVECTION
DEVELOPING FURTHER TO THE SOUTH ACROSS THE CENTRAL PLAINS WHICH
MAY IN TURN DIMINISH AMOUNTS ACROSS THIS REGION.

...KANSAS/SOUTHERN PLAINS INTO THE MS VALLEY...

MODELS SUGGEST THE DEVELOPMENT OF STRONG CONVECTION PRODUCING
HEAVY RAINS ACROSS PARTS OF EASTERN KS/OK INTO AR/MO BOTH DAYS.
SUPPORTED BY A MOIST AND HIGHLY UNSTABLE AIRMASS...MANY OF THE
MODELS SHOW CONVECTION WITH HEAVY RAINS DEVELOPING ALONG THE LOW
LEVEL JET AND UNDER THE LEFT-EXIT REGION OF THE UPPER JET SUN
EVENING ACROSS EASTERN KS/OK INTO AR/MO.  MODELS THEN SHOW ANOTHER
COMPLEX DEVELOPING THE FOLLOWING EVENING IN THE SAME GENERAL
VICINITY...ONCE AGAIN SUPPORTED BY HIGH INSTABILITY AND DEEP
MOISTURE AHEAD OF A SLOW MOVING COLD FRONT...ALONG WITH FAVORABLE
UPPER JET DYNAMICS.  BY DAY 3...THE PROSPECT OF HEAVY RAINFALL
EVENTS ON CONSECUTIVE DAYS RAISES THE FLASH FLOOD
POTENTIAL...WARRANTING THE SLIGHT RISK OUTLINED IN THE DAY 3
OUTLOOK.

...NORTHEAST...

A SHORTWAVE TROUGH WILL PUSH ACROSS SOUTHEASTERN CANADA LATE SUN
INTO MON WITH ITS ASSOCIATED SURFACE WAVE MOVING ACROSS NORTHERN
NEW ENGLAND ON SUNDAY.  STRONG LOW-MID LEVEL MOISTURE ADVECTION
AHEAD OF THE WAVE COULD FUEL SOME MODERATE TO LOCALLY HEAVY
AMOUNTS ACROSS NORTHERN NEW ENGLAND BEFORE THE SYSTEM MOVES INTO
THE CANADIAN MARITIMES BY LATE MON.

...MID ATLANTIC/SOUTHEAST...

A WEAK BUT SLOW MOVING MID LEVEL SHORTWAVE INTERACTING WITH AN
AXIS OF DEEP MOISTURE IS EXPECTED TO PRODUCE MODERATE TO LOCALLY
HEAVY AMOUNTS ACROSS PARTS OF THE REGION...PARTICULARLY ON DAY 2
ACROSS THE CENTRAL TO EASTERN CAROLINAS.  THE THREAT IS EXPECTED
TO DIMINISH ON DAY 3...REPLACED BY MORE SCATTERED ACTIVITY...AS
THE WAVE MOVES OFFSHORE AND THE RIDGE AMPLIFIES AHEAD OF THE
AFOREMENTIONED LOW OVER THE CENTRAL U.S.

...NORTHWEST...

A DEEP UPPER LOW IS FORECAST TO DEVELOP AND DROP SOUTH ALONG THE
BRITISH COLUMBIA TO THE WA/ORE COASTS ON TUE...RESULTING IN AN
INCREASING CHANCE FOR GENERALLY LIGHT AMOUNTS ACROSS WESTERN
WA/OR.  MODELS ARE SPLIT ON THE TIMING OF THIS SYSTEM AND
THEREFORE FOLLOWED THE 00Z ECMWF WHICH FELL NEAREST THE MIDST OF
THE SPREAD.

KORTY/TERRY/PEREIRA

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

24HR QP VT 20/00Z
 0.01 535191 534153 533145 529137 526130 522124 508104 501091
      498084 494075 491068 489059 489038 491032 491027 493023
      496010 504983 508971 511956 513941 515922 515910 516903
      516884 516849 514838 512826 510820 508816 501821 497824
      494832 492839 489842 486839 476832 470828 469831 466835
      464840 467857 469865 472869 472876 469881 466885 460889
      455893 449897 442900 434900 430899 423899 411898 407901
      404903 404905 405909 404913 402913 400910 392901 385893
      381888 379884 380880 379872 376856 377852 381849 387846
      392846 397847 403842 405837 405834 407830 410819 409811
      410804 407795 407787 407783 408780 410774 414759 414752
      416746 417740 416733 411731 406731 397727 393726 388726
      369727 366731 362731 358730 352731 347733 345736 341741
      340746 342749 346756 350760 352763 351767 334785 326792
      317800 312804 305807 299808 294807 286805 278803 274802
      269802 264802 258805 254812 254815 259817 266822 276824
      284828 290828 295829 301828 306829 309833 310838 309844
      309850 308855 310861 317866 322862 325861 328865 330869
      333875 339882 346887 355893 360894 365897 372902 388916
      386921 383924 380925 372933 366936 363940 361943 358945
      356949 352954 348959 334962 325968 317974 301985 298989
      296991 293992 290995 286000 284004 287008 291010 294007
      300006 305004 309002 316000 319997 324996 336992 341989
      344989 346993 352000 356005 360007 362007 363011 364018
      364022 363026 363033 368046 372050 376053 381055 382058
      380060 377063 372062 366064 367068 368076 371083 373088
      377092 383093 386096 392090 395093 400089 404084 408082
      411083 411087 408094 401103 397104 395106 390109 386113
      382118 376126 376130 380136 381139 384140 388145 395152
      398164 400169 404172 407175 412178 414180 413185 411190
      406201 406206 407207 415208 418207 422210 424214 423218
      420223 420226 423228 426230 426234 423239 424242 426243
      430244 436242 442243 448245 454243 462244 471240 477241
      480240 479235 478230 481227 483227 489225 494233 497237
      500238 502235 503231 507226 511221 509214 507211 507206
      513204 516202 519206 525213 528213 531210 533202 532195
      535191
 0.01 484205 486200 485194 482187 481180 477177 474173 470174
      465178 459186 455194 449193 446196 445202 442203 439202
      437199 434197 430199 428199 427201 429207 432211 434214
      437213 442213 449214 456215 460211 462210 466210 470210
      483206 484205
 0.01 484152 485147 483145 480145 477143 474143 471145 474149
      474150 476152 479152 482154 484152
 0.01 443178 445175 444172 443170 440165 437163 435160 433156
      431148 427140 423141 422146 423158 424161 422166 420174
      424181 429183 434192 437189 440185 443178
 0.01 418138 418134 416132 413131 411131 408131 407133 406137
      407138 410141 413143 416142 418138
 0.25 508900 508885 507878 505870 502865 499863 495865 491868
      482879 477888 471895 448916 441917 433916 427916 424922
      421924 416925 408930 400935 395937 382948 377952 375960
      376965 375968 373972 370975 366981 364984 364991 368994
      375996 392997 395997 397001 398008 397014 395022 396035
      398038 400040 407042 421047 427050 430052 433057 435068
      438076 439084 437093 438112 441116 443121 445124 450123
      457121 461120 467120 474123 480126 492138 498141 503142
      506141 507137 506132 503122 491088 483071 479063 476051
      475041 476032 478022 480011 482002 486993 489984 493974
      498957 503939 506929 507918 508900
 0.25 401746 399743 395740 387738 372739 367742 362749 359757
      359765 358770 355775 350782 335791 329798 324805 320810
      318814 319817 322819 323821 323825 318832 317835 318841
      322847 329852 334858 339864 344871 350875 353878 358877
      362873 361867 360862 357850 360843 364836 371832 380827
      387821 392814 395806 394799 392793 392788 393783 396774
      397767 400755 401746
 0.25 412118 413114 412113 410110 409106 406105 406106 405110
      403112 400113 397113 400117 403118 406118 408119 411118
      412118
 0.25 395117 394115 391116 391117 394117 395117
 0.25 396083 397079 395078 394079 394083 395084 396083
 0.25 300818 298816 294814 289812 285811 282810 279810 273811
      271813 273816 276818 280819 285821 288821 292821 297821
      300818
 0.50 504906 503897 503887 500878 497875 494875 492877 489880
      482889 477898 469906 462912 454920 446928 437934 433940
      431948 429950 420957 418960 415965 413971 412977 413984
      411988 404009 402019 401026 402030 403033 406034 412036
      416038 422039 427039 431041 438048 444056 443064 444068
      445071 448073 451073 452070 450064 448060 450055 453050
      457047 461042 465032 465029 463026 458028 455029 454026
      455021 464014 474997 485977 489965 491956 496943 500930
      502920 504906
 0.50 491121 489103 487095 484090 476079 472073 468070 456072
      455078 456081 457089 456093 454094 451094 447097 448102
      447107 444113 447115 449112 454109 460107 466110 475115
      487122 491121
 0.50 387774 387768 387766 384764 382763 381758 379754 377752
      371752 366758 365765 366770 365772 361778 349787 343790
      336795 332799 328805 326810 328813 330817 331822 328828
      323833 322836 323840 327845 332850 340858 344864 349869
      351871 354870 355864 353854 351848 350842 351836 366815
      370809 378806 381802 381800 381792 386782 387774
 0.50 403947 402945 399947 396948 394949 393949 391953 389957
      391957 394957 397957 400956 401955 402951 402950 403947
 0.50 386987 388983 388980 385978 382977 380977 379977 376978
      374979 371980 369983 368983 367986 369989 369990 372991
      375991 378991 380990 383989 386988 386987
 1.00 495914 495901 494895 494891 492889 487895 484901 480908
      475912 463922 454932 450938 448945 442959 438963 430965
      424970 422972 420976 420984 418991 413007 409022 411026
      414027 422028 427028 430027 438024 442026 444027 446024
      448016 451010 455006 460001 465994 468988 473982 476977
      479968 485953 489938 493924 495914
 1.00 359796 358793 356791 353791 348793 342796 339798 335802
      333804 335807 340807 343807 348808 348812 351814 356811
      358807 357804 357801 359796
 1.50 466982 476961 481947 484934 480926 471931 462934 458937
      455942 457946 463944 467945 465953 459958 452962 447969
      442974 434977 429980 426984 422992 419002 419008 419010
      425012 434005 440006 445004 460992 466982
 2.00 464975 465970 463967 461967 460967 457970 454972 452975
      451977 449980 448982 450983 450986 453989 453990 456990
      457989 459987 460984 461981 462979 464976 464975

24HR QP VT 21/00Z
 0.01 408626 405632 400638 395643 392648 387654 385659 385664
      386671 387676 388684 387694 387704 388716 392728 392732
      390736 386740 380743 373746 367747 361747 355744 350744
      345742 337751 334754 330759 324767 306784 303787 297790
      288792 278792 270791 260792 255792 251795 247798 239804
      235812 233819 235820 240824 246826 256825 261825 266826
      270828 275828 281828 285829 290830 295832 303836 307838
      310838 313837 316837 320842 325843 329845 336850 343854
      348853 355851 357845 359836 365835 370837 380840 387837
      386830 384826 382823 384819 389816 393810 397805 399800
      404797 405794 408791 412786 416782 423771 428768 431766
      435767 440766 443766 445770 440795 439800 439805 439813
      442816 439820 436822 427827 421841 414852 410856 405861
      400865 397871 395877 392886 393891 389896 384899 380901
      374902 369899 364899 358902 345916 341926 342932 345935
      348934 349937 348941 344948 332968 327972 324974 321975
      305978 296985 291989 290990 289994 290997 293997 299998
      304999 308001 311007 317007 325002 327999 329996 332995
      338994 343991 356989 364986 383977 388965 391960 396959
      398961 400966 398974 397982 398989 400995 401003 401008
      399011 393016 386015 381013 376010 373010 371013 364015
      362020 361028 362036 363044 365049 366064 367069 370074
      370082 372088 375092 378094 383095 386093 390096 394102
      396106 393111 388116 388120 393117 403118 412122 419124
      423125 425127 432130 436136 448134 463137 471141 476142
      480145 485149 488154 492168 493172 499173 503172 509171
      519170 525173 528176 532176 534176 536172 536161 521132
      492081 489073 488067 486062 487056 488050 491033 493026
      495021 498005 499989 502958 501947 502940 501919 502908
      502898 502878 501866 502856 500844 498831 497824 495817
      491799 490794 490790 492783 499770 510747 512740 511731
      509724 506714 502712 501708 501703 503691 501671 498661
      498653 498647 495643 494633 490629 487628 483624 478622
      468613 459610 455606 450605 445604 441605 429606
 0.01 367878 359880 353882 351886 346888 344890 338893 332895
      315892 311890 307891 303890 300891 296895 294898 292907
      292913 294916 300924 306928 310929 314927 320921 328915
      330912 334910 346906 348903 353901 358893 361891 363887
      367878
 0.01 311948 309941 304945 299949 296954 291958 287963 283969
      282971 282975 284976 288974 294972 299967 302962 306959
      308955 309951 311948
 0.25 491680 489673 486669 481666 471658 463649 458638 454630
      450627 446626 439625 426627 420629 413636 402650 395661
      393666 393670 393677 395691 396699 400707 403712 406714
      412719 427714 434709 438708 441708 442711 442716 443721
      445726 451736 455741 458747 461757 463764 463774 462791
      462802 462809 462815 460822 455830 436854 430867 416874
      410879 409882 409886 410903 409912 407915 405916 399913
      391913 385913 377912 370910 365914 361927 357940 355946
      354956 356964 359969 365975 369975 373974 378970 383963
      390948 392945 395942 401938 407934 410932 413933 415934
      416937 419944 419961 417976 416981 416987 415995 414005
      412014 409023 406030 400038 395041 387043 383046 385052
      388058 387065 384070 382074 384079 389080 399082 408083
      414086 421091 427095 435098 442097 447101 453108 458112
      466113 471116 489130 481114 479106 477093 476084 474072
      474066 475058 477051 483033 487018 489008 491997 493980
      494968 494955 495931 497887 497866 494843 491823 487803
      484791 481785 478772 476764 476756 476752 479743 480732
      482722 485711 487700 491680
 0.25 407747 396750 391751 384755 361759 350761 343764 336768
      327775 321785 314795 310800 310803 312805 316806 319812
      323819 326825 329828 334831 339832 343830 345828 362811
      371803 378793 384783 389777 393773 402764 405758 406751
      407747
 0.25 269811 268808 266807 265806 263804 262801 261801 258801
      256803 253803 251805 251806 253808 255810 256811 257812
      260813 262814 263814 265813 268812 269811
 0.50 479695 479689 476686 472681 471675 468670 462665 452655
      449647 447641 442636 437635 430635 424638 420640 416643
      411647 409654 396673 399682 401691 401694 403699 405701
      409701 412701 416694 420688 421684 421680 423677 426673
      431673 434674 435677 437681 442687 445689 447693 449704
      450713 452718 454722 458727 461729 465730 470727 474721
      476714 479696 479695
 0.50 493864 493853 491843 488825 485814 483804 478794 477792
      475794 472806 469819 465834 463840 460847 446865 445868
      445873 445883 442886 434887 430888 428891 426896 427904
      428912 429918 428923 426930 426946 425960 424973 422981
      421990 419006 417019 415030 415038 416046 418060 418064
      421068 429074 433075 437074 442076 450086 454091 457092
      460093 464088 466082 465069 466058 473046 478036 482024
      483012 485005 488988 489972 491957 491937 491920 492905
      494892 494874 493864
 0.50 372770 360767 355766 346768 341771 335775 330780 327785
      323792 322796 324801 331816 335821 339823 342823 346819
      350812 354808 362802 366798 369791 370786 368780 372770
 0.50 394930 393926 387924 378925 377923 377920 374917 371918
      367921 365926 362934 358944 357956 359962 363966 370969
      374967 378963 381955 381948 383944 389937 392934 394930
 1.00 487848 486842 484837 481832 479833 479838 477844 476851
      473857 469865 466875 462886 461890 458895 447910 445921
      444929 445937 446945 445953 443967 440976 433983 430991
      428998 428006 428017 425027 426033 428036 435040 444045
      450052 453052 456050 463043 467040 470035 471030 471022
      471015 469009 467005 466997 468991 472986 478979 479974
      480968 479955 480946 481940 484928 484922 483914 484908
      486896 488885 489877 488872 487848
 1.00 355794 354793 350793 347792 344792 342794 339796 338798
      338800 337802 337806 337808 337809 338811 341811 342811
      344811 344810 346807 347805 348804 350801 352799 353799
      355796 355794
 1.00 376945 377938 374934 371932 371928 369929 366933 364937
      362941 363948 363955 366959 370961 372960 374956 376949
      376945
 1.50 459971 457969 456972 457973 459971
 1.50 372942 369941 368943 368947 369950 370951 371950 372946
      372943 372942
 1.50 483886 483880 481873 478871 474875 470882 467890 463898
      460903 456911 453918 454924 455927 461924 468918 474913
      478906 481898 483890 483886
 2.00 477893 477888 476888 473888 473890 471894 471895 471899
      472900 475900 476898 477894 477893


24HR QP VT 22/00Z
 0.01 446626 445620 443618 440619 436622 434622 431620 428621
      426624 415635 411641 406647 392666 372680 368684 365690
      363694 360699 356717 352727 348734 341741 336750 325772
      305788 298790 295789 289790 285790 280790 277789 273789
      269787 265785 261785 257785 253786 247789 243791 238800
      235808 234812 235817 233825 236828 239829 253825 260824
      264825 281834 289836 296840 299842 300845 302850 307856
      310852 314850 317846 321845 327845 330845 337843 341844
      346843 349840 354837 356834 360825 364816 366812 369810
      373808 377809 380812 381817 378823 376829 376834 376841
      376850 371872 369877 366881 358886 353887 349885 345882
      341882 329886 317889 314887 309888 299891 297894 295897
      294903 294906 297922 299931 303931 308932 311933 312935
      309947 302953 299957 294960 283972 276979 271987 265995
      255997 253999 247000 242001 239004 238006 240008 244010
      280024 296014 303008 308001 316991 328976 334972 337974
      343982 346985 350987 354984 360983 365983 369981 378973
      387966 394956 402947 409941 417934 420937 420941 418943
      414947 411952 406961 404966 400968 396967 392968 390972
      386976 383984 380988 379992 375000 373004 375007 376012
      384019 382025 377028 374031 372032 367034 366033 361036
      360039 362042 365047 366054 369058 373060 377062 380064
      380067 381072 384076 388073 394072 397072 401076 402075
      405074 408075 411076 415076 419073 428073 439074 449081
      452082 455080 456076 451062 452052 457048 465043 470040
      474034 480027 485017 490006 491996 493990 496961 496953
      497949 496933 496925 497919 496900 495860 494851 495848
      494843 492832 492824 478757 476748 474739 473733 470727
      466720 464713 458699 457691 457687 454674 453660 451650
      446626
 0.01 521264 522259 522254 522245 521239 518234 517230 517222
      516209 512206 506204 501201 499197 496194 493190 491187
      485185 482181 476178 474176 482195 479199 474201 467205
      462207 460209 455209 452205 457192 460182 460177 455176
      448177 444179 440183 436193 435200 436205 436210 434214
      429216 425219 423223 421229 416232 409237 408245 410250
      414253 419255 424261 431269 437276 442280 446282 452284
      456283 464283 472278 479275 486272 494272 505276 509276
      512274 515272 518268 521264
 0.01 526164 524159 523154 519148 515146 509145 506144 504141
      501140 497140 500145 503147 506152 511154 514155 516157
      520160 522164 526164
 0.01 408714 412698 409695 407698 406701 403704 396709 390713
      385716 383715 381717 383722 386726 391730 396732 398733
      399731 400729 404721 408714
 0.25 513266 516261 515256 514251 510241 508235 503230 501226
      498223 495224 495229 497236 499246 497248 495246 492242
      489240 487240 482240 475236 466238 454233 444230 440233
      437239 435242 434249 438259 440264 444266 450269 454269
      462266 469261 473259 478258 488259 493261 497264 502267
      507269 510268 513266
 0.25 440650 437644 431645 426647 424651 420658 418665 416672
      418683 422684 424683 431682 435683 437686 440691 443689
      444680 445671 443662 440651 440650
 0.25 472773 469762 466756 462747 458741 450737 447734 448730
      449724 449717 447710 445707 442706 440707 437710 433715
      428718 424719 421723 422730 425738 425743 424745 419756
      420760 424764 426772 426777 421788 406804 408821 408827
      408835 405847 398855 390862 388870 388878 385881 378887
      366895 359903 355907 350909 340913 333920 327927 323936
      321943 317957 316962 316967 319969 325968 331965 336964
      339969 341974 344977 348978 351978 361973 369968 378961
      385951 389942 395934 401927 404923 408921 419921 430919
      434924 436932 439942 439946 439952 437956 432960 425966
      419974 414983 410994 407003 404011 400016 398023 402027
      410031 420034 428037 437041 443042 447039 455034 463032
      468029 473025 476018 479005 483994 486983 487975 488967
      487950 487934 489896 488867 488851 487844 486836 477802
      474782 472773
 0.25 364767 363763 361761 358759 350756 347753 343754 341758
      340762 336770 331779 326786 323791 323794 330795 339794
      345793 350791 357785 362780 363776 364767
 0.25 316970 310968 307969 302972 294976 289980 284983 280988
      281991 285991 293991 301990 306987 310981 313974 316970
 0.25 277811 273806 273802 274799 269795 264792 258790 252792
      248796 248803 252808 257813 263816 268818 275815 277811
 0.50 512261 512256 510250 510249 508245 507244 506239 505239
      502237 501238 502241 502243 503248 503251 504253 505258
      506258 508260 511261 512261
 0.50 484849 482839 477830 474824 473815 470801 468791 466786
      462774 461766 459763 457763 454766 451772 450778 448785
      445789 438796 433800 420809 417809 416813 415818 416832
      416842 415851 414858 411862 406866 400869 398873 400882
      399887 397891 397898 404907 406911 411914 416914 422911
      428905 433903 437905 440912 442921 442930 443939 444950
      444959 444964 445969 447969 451965 455934 457925 457917
      458906 457901 455898 451893 447890 438885 433879 434870
      440866 443864 446864 455871 457877 458886 457895 458901
      458904 461906 464903 467903 471908 473909 477909 481904
      484890 485877 485867 484849
 0.50 484971 484966 483964 482962 480958 479959 477962 476964
      474966 473969 472973 472978 473982 475986 476987 479986
      480985 482982 482980 484975 484971
 0.50 438744 439741 439735 438735 436740 435741 434744 434747
      435747 438745 438744
 0.50 457245 457243 454239 451238 450238 449242 450245 453247
      456246 457245
 0.50 447027 448019 446013 443011 439011 437016 433020 430024
      428029 432029 437032 441036 445031 447027
 0.50 393892 377897 368903 361910 357914 352917 346918 340921
      333928 328937 324947 323952 323959 327961 330960 334958
      337959 341966 344973 347975 352975 356973 372960 376955
      379952 384943 389931 384921 389909 389904 389901 391897
      393892
 0.50 263810 262807 260805 259802 257804 256806 257809 259810
      261811 262811 263810
 1.00 458852 457850 455848 455845 454840 451838 449842 449843
      450846 450847 454849 454850 457852 457853 458852
 1.00 379941 374938 369937 368933 370925 367924 361924 354928
      350927 347929 343932 340936 338941 339944 342952 343959
      345968 348972 352970 357967 366960 373951 377946 379941
 1.50 369952 372947 369946 366946 364949 362950 359951 356949
      356947 353948 350950 348954 348958 348961 348965 349966
      352966 355964 356963 357962 360960 363959 365956 369952

$$