Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 242100
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
459 PM EDT SUN MAY 24 2015


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

DAY 1...

...SOUTHERN PLAINS NORTH TO CENTRAL PLAINS AND EAST TO GULF
COAST...

...HEAVY RAINFALL POTENTIAL SHIFTS SLOWLY EASTWARD ACROSS EASTERN
TEXAS...THE ARKLATEX...AND TOWARD THE LOWER MISSISSIPPI VALLEY...

THE LATEST SYNOPTIC AND MESOSCALE MODEL GUIDANCE CONTINUES TO SHOW
POTENTIAL FOR BUSTS OF MODERATE TO HEAVY RAIN ACROSS PORTIONS OF
TEXAS TO THE LOWER MS VALLEY.  AS THE INITIAL UPPER TROUGH EJECTS
EAST-NORTHEASTWARD...UPPER DIVERGENCE MAXIMA IN THE RIGHT ENTRANCE
REGION SUPPORT ROUNDS OF SHOWERS/EMBEDDED STORMS FROM THE MID TO
LOWER MS VALLEY.  THERE IS SIGNIFICANT SPREAD ON THE STRENGTH OF
THE UPPER DIVERGENCE/LOWER CONVERGENCE COUPLET WITH THE
UKMET/CANADIAN GLOBAL/NAM WITH HEAVIER QPF THAN THE GFS/ECMWF.
GIVEN THE UNCERTAINTY MANUAL QPF USED A BLENDED SOLUTION.

SIMILARLY...AN AXIS OF LOW-MID LEVEL CONFLUENT FLOW MAY SUPPORT
LOW LEVEL CONVERGENCE AND CONVECTION DEVELOPING OVER THE GULF
TONIGHT AND MOVING INTO SOUTHEAST TX/SOUTHWEST LA.  THIS IDEA IS
NOT SUPPORTED BY THE GFS OR NAM BUT IS SUPPORTED BY THE
ECMWF/UKMET/CANADIAN REGIONAL GEM/CANADIAN GLOBAL MODELS.  MANUAL
PROGS GAVE MORE WEIGHTING TO THE MAJORITY CLUSTER.

THE NEXT MID-UPPER LEVEL SHORTWAVE COMES OUT OF NM LATE TONIGHT
AND ACROSS TEXAS MONDAY.
IN RESPONSE TO THE APPROACHING WAVE...LOW-MID LEVEL WARM/MOISTURE
ADVECTION DEVELOPS IN WEST TEXAS AND INCREASES HEADING INTO
CENTRAL TEXAS MONDAY AFTERNOON.  RAINFALL AMOUNTS AND COVERAGE
INCREASE AS THE AFTERNOON PROGRESSES...WITH AN AREA OF MODERATE TO
HEAVY RAIN EXPECTED TO DEVELOP. THERE IS NORTH TO SOUTH SPREAD IN
THE LOCATION OF MAXIMA OF RAINFALL WITH THE PREFERRED SOLUTION A
BLEND OF THE GFS/00Z ECMWF ENSEMBLE MEAN.  THE AXIS IS WHERE THE
850-700 MB THETA-E ADVECTION AND CONVERGENCE MAXIMA OF THE GFS AND
UKMET OVERLAP NICELY. THE RGEM FORECAST PLACED THE ACTIVITY A BIT
FURTHER SOUTH WHILE THE UKMET QPF WAS HIGHLY CONCENTRATED. THE 12Z
ECMWF ERASED A MAX NEAR THE RED RIVER AND CONSOLIDATED QPF TOWARDS
CENTRAL TX LIKE THE 12Z GFS.


...GREAT BASIN/CENTRAL ROCKIES/NORTHERN PLAINS/UPPER MS
VALLEY/UPPER GREAT LAKES...

THE MODELS SHOW THE MID LEVEL CIRCULATION TO DRIFT EAST OUT OF WY
ONTO THE NORTHERN PLAINS.  THE DEPARTURE OF THE CIRCULATIONS LEADS
TO A DECLINE IN PRECIP INTENSITY IN UT/WY/ID AS DRYING ALOFT
DEVELOPS. ONE MAXIMA EXTENDS ALONG THE 700 MB FRONT NEAR THE SD/ND
BORDER.  THE FRONT WEAKENS ON MONDAY AS THE CIRCULATION MOVES EAST
INTO THE UPPER MS VALLEY AND UPPER LAKES.  FARTHER NORTH INTO THE
UPPER LAKES...RAIN SPREADS ACROSS THE REGION AS 850-700 BM THETA-E
ADVECTION AND CONVERGENCE DEVELOPS IN ADVANCE OF A WARM FRONT.  AS
THE WARM FRONT SPREADS NORTHEAST THE QPF MOVES IN TANDEM ACROSS
THE LAKES INTO CANADA. A CONSENSUS APPROACH WAS USED.

OTHER SHOWERS SHOULD OCCUR AGAIN THIS EVENING IN THIS ABOVE
AVERAGE PW AXIS WITH 700 MB VERTICAL VELOCITY MAXIMA ROTATING
AROUND THE BROAD CIRCULATION LEADING TO A RAINFALL MAXIMA IN
EASTERN CO AND ADJACENT NE/KS. THIS COINCIDES WITH A MAX REGION OF
UPPER DIFFLUENCE.

DAYS 2/3...

...PLAINS EASTWARD INTO THE SOUTHEAST...

ONE MORE SHORTWAVE PROGGED TO ROUND THE BASE OF THE TROUGH ON
MONDAY...WILL RESULT IN ANOTHER BATCH OF HEAVY RAINFALL ACROSS THE
SOUTHERN PLAINS...LOWER MISSISSIPPI VALLEY AND ADJOINING GULF
STATES.  THE AIRMASS OVER THE REGION WILL BE CHARACTERIZED WITH
HIGH CAPE AND PW VALUES AT OR ABOVE 1.50 INCHES.  INITIALLY THIS
MOIST AIRMASS WILL BE DRAWN NORTHWARD ON H85 WINDS OF 35 TO 45 KTS
WITH A POOL OF HIGHER PW AIR STILL POISED OVER THE GULF.  THE
COMBINATION OF PW AND WINDS RESULT IN MOISTURE FLUX VALUES IN THE
RANGE OF 4 TO 5 STANDARDIZED ANOMALIES.  THUNDERSTORMS OVER THE
PREVIOUS FEW DAYS HAVE BEEN VERY EFFICIENT RAINFALL PRODUCERS AND
SEE LITTLE REASON THAT THE STORMS DURING THE FIRST HALF OF DAY 2
WOULD NOT BE EQUALLY EFFICIENT OVER PARTS OF SOUTHEAST
OK/NORTHEAST TX INTO AR.

MAXIMUM RAFL VALUES IN THE WPC GUIDANCE ARE ON THE ORDER OF 3
INCHES OR SO ALONG THE PATH OF THE NEXT VORT MAX APPROACHING THE
REGION FROM THE SOUTH AND WEST.  H85 MOISTURE TRANSPORT IS
MAXIMIZED OVER PARTS OF NORTHEAST TX INTO AR AT THIS POINT WHILE
THE ENTRANCE REGION OF A 90 TO 110 KT SPEED MAX IS PROVIDING A
PRONOUNCED REGION OF UPPER LEVEL DIVERGENCE WHICH PRIMES THE ATM
FOR PRONOUNCED UPPER LEVEL VERTICAL MOTION.  THUS LOCALLY HIGHER
AMOUNTS THAN THE 3 INCHES MENTIONED ABOVE CAN EASILY BE EXPECTED.

THERE WAS ABOVE NORMAL SPREAD IN THE RANGE OF MASS FIELD AND PCPN
FORECASTS IN THE GUIDANCE EVEN BEFORE THE PRESENT DAY 2 PERIOD
BEGINS AT 26/00Z.  THE ECMWF WAS ALREADY LAGGING OTHER MODELS
WHILE THE NAM WAS RACING AHEAD.  THIS LEFT THE UKMET/GFS/CANADIAN
IN THE MIDDLE OF THE GUIDANCE.  EACH OF THOSE MODELS SUFFERED FROM
CONVECTIVE FEEDBACK AT SOME POINT WHICH RESULT IN SOME QPF MAXIMA
WHICH WE WERE NOT WILLING TO USE.  THE CANADIAN GLOBAL MASS FIELDS
PROBABLY HAD THE BEST COMPROMISE POSITION ON DAY 3 BUT ITS PCPN
VALUES LOOKED OVERDONE.  CONSEQUENTLY THERE WERE SEVERAL
ITERATIONS DONE IN ORDER TO DERIVE THE MANUAL WPC RAFL AMOUNTS
FROM THE LATTER HALF OF DAY 2 AND THROUGH DAY 3.

GIVEN THE PLACEMENT OF THE RAFL MAX...MAINTAINED THE MDT RISK OF
EXCESSIVE RAFL OVER PARTS OF THE LOWER MS VALLEY ESPECIALLY GIVEN
THE ANTECEDENT CONDITIONS.  BY THE TIME DAY 3 EXCESSIVE RAINFALL
BEGINS AT 26/12Z...THE SYSTEM WILL HAVE MOVED AWAY FROM THE RAIN
SOAKED AREA AND NO ORGANIZED AREAS OF EXCESSIVE RAINFALL WAS STILL
EXPECTED.


...NORTHERN PLAINS TO UPSTATE NY/NEW ENGLAND...

SOME GENERALLY LIGHT RAINFALL WILL BE ON GOING OVER PORTIONS OF
THE UPPER MIDWEST AND GREAT LAKES EASTWARD INTO THE NORTHEAST...WE
CONTINUED TO FAVOR A NON NAM BLEND CONSISTING OF THE
GFS/ECMWF/CMC/UKMET...WITH SOME ADJUSTMENTS BASED ON THE GFS AND
ECMWF ENSEMBLE MEANS.

PETERSEN/BANN

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

24HR QP VT 26/00Z
 0.01 538213 537201 535187 530164 521151 518146 515142 512139
      509137 491128 488116 485103 484098 484092 483085 484078
      485063 486058 487050 489038 488031 488021 487015 487007
      487991 488984 489977 491967 492955 494944 498918 501891
      499827 497793 496786 494779 490768 483748 476732 473728
      470724 474715 476706 475699 473693 472688 469681 465672
      461671 458674 460691 459697 456697 449687 445678 435683
      431684 430688 428700 427719 424722 423728 424744 424774
      423784 422790 418792 411798 403802 395807 387813 367820
      359821 357821 354819 350815 348811 340810 336808 331809
      329810 328808 327805 326803 319797 314794 310790 301777
      299774 293775 291778 292784 290789 288791 284789 280791
      284800 290807 293816 290814 288811 286808 282808 276803
      268798 261794 254789 250783 245772 243769 239767 234766
      228766 224767 221770 219775 220778 225790 232809 236816
      239819 243821 248825 252825 254822 257822 259825 258829
      258834 259841 261846 264848 267846 274841 277838 281836
      290841 292844 290847 290851 288853 283854 275859 271861
      268865 266875 270882 271886 272888 276890 279893 276902
      275910 278919 277924 274928 269936 265943 261952 253974
      253978 255982 258986 262989 269994 274001 274020 279025
      282027 288028 293028 297030 304035 308038 310038 315036
      318032 326029 334024 336020 341021 349018 356014 363007
      365005 367008 369012 368015 367029 366035 364036 359042
      354049 353055 350059 346060 343058 340060 339063 337069
      336075 335082 335089 335094 337099 339104 342108 349114
      354122 361134
 0.01 361134 362141 361147 360157 359169 363175 361179 362183
      362186 366188 372193 377199 383205 389208 403218 406220
      408223 403227 399229 401231 403234 407235 413232 415229
      416224 423203 429200 434196 436184 438178 440178 444175
      447175 453172 455169 460169 467173 469176 469180 468184
      469188 472197 475205 482219 487226 491232 499248 503255
      507262 512261 517263 520256 525257 530243 528242 527239
      527236 528234 529231 529229 530227 532227 533230
 0.01 469641 467641 465642 467642 469641 469641
 0.01 385986 385983 384981 382983 382986 384987 385986
 0.01 239995 239993 238993 237993 236993 236995 237996 238996
      239995
 0.25 515216 518205 517196 517186 513179 510173 505169 493162
      488159 483161 480164 481173 479185 480190 482192 488195
      495199 498206 500212 502220 507225 510226 512223 515216
 0.25 490889 490877 490863 489850 488841 483802 480793 477785
      472769 465752 458739 455733 450726 447724 443724 441726
      440731 438736 438746 439756 439764 438773 437782 434799
      433809 433818 433841 431849 429860 428870 425876 421879
      415882 410881 404879 402877 399873 394870 388867 379866
      373865 367863 361861 353861 345860 338857 332854 324853
      320855 318857 316864 316867 314869 311870 308868 305863
      303860 299861 295866 292872 287887 286896 286904 286914
      285925 279937 275949 271963 269971 268978 272983 277987
      282992 284000 283006 286012 292015 302015 306017 309019
      310022 314023 323016 332009 339006 342000 343989 343977
      345962 346958 350956 355952 361950 365947 370948 387949
      395948 399954 402958 403965 382024 395052 399055 405058
      410061 419062 425064 433061 433066 433071 431073 425077
      421083 418090 412092 409094 407097 407103 409107 414111
      419111 426115 431112 435108 437098 438088 442083 451083
      456080 464065 471054 476050 477046 479039 479027 478017
      477997 476987 475980 476969 478960 481952 483941 488904
      490889
 0.25 276826 276824 274822 272821 270822 270824 270825 272826
      274827 276826
 0.50 485882 485862 485851 483842 481830 478815 475798 471786
      467773 462761 459756 457748 453742 451741 448742 446744
      446746 445755 445761 445768 445775 444781 442788 441796
      440810 440819 440827 441836 440844 437858 436870 433883
      430888 425892 417897 410897 405896 399896 395899 392900
      391898 391888 384879 380876 374876 363876 350877 338882
      326885 314887 309886 303882 299882 295886 293891 292896
      292909 288920 286933 285940 283946 279957 278963 278972
      279981 281984 295997 300999 307000 315005 318010 321011
      324009 329001 333996 334989 336974 337961 339955 343952
      350946 359941 364939 372938 384937 390937 396938 402940
      408942 415948 419952 422953 426954 429952 431949 436947
      439952 440961 438969 439979 441985 446997 452007 451029
      455041 457044 460047 465045 469041 471036 473021 471987
      470979 471972 472957 477925 479911 483897 485882
 0.50 425023 426018 426013 425005 425997 422990 419986 415987
      414989 408998 404004 402007 401005 399006 395009 392014
      391018 391022 399030 401036 405037 410038 415038 419036
      420034 423028 425023
 1.00 474902 470886 471870 472852 471840 470831 469818 468808
      464801 461794 457786 454781 451779 450783 448790 447800
      446808 447820 447831 443868 445888 446899 450905 452913
      454921 456931 454940 454946 455952 456960 457964 460967
      464962 466954 468946 470925 474902
 1.00 379927 380924 380920 377917 373912 370909 371904 374897
      376891 375888 373887 366886 357887 349889 341892 334895
      320902 313905 305906 302907 299910 295916 293920 293926
      292935 292945 291956 289965 288970 289975 291979 294982
      300985 308988 316988 321989 324986 328980 329976 329970
      328962 326951 323945 319942 319938 324934 332931 338928
      344923 348922 350923 355930 358933 362934 369933 372931
      379927
 1.50 464859 463841 462824 461817 459810 455800 451803 450811
      452823 453831 451838 449850 449859 450865 453870 459869
      461865 463859 464859
 1.50 368925 366925 365925 364926 364927 366927 368925 368925
 1.50 360898 358897 355898 351898 347898 345899 342901 341904
      340906 341908 344910 346911 350910 351910 353908 355905
      357903 360901 360898
 1.50 336913 333909 328909 325909 321910 317912 313914 310918
      312922 315925 319926 323925 326922 330920 333917 335914
      336913
 1.50 321977 322972 321968 319962 311952 308945 307937 306929
      306925 308922 309920 306919 301919 299920 297923 296927
      298935 300942 299949 299955 296961 294969 294974 295978
      300981 308982 316983 319981 321978 321977
 2.00 316975 316973 316971 315969 314968 312967 311966 310966
      308966 307966 306967 305968 305969 306971 306972 307973
      308974 309975 310975 312976 314976 315976 316975

24HR QP VT 27/00Z
 0.01 533230 532227 531224 531221 531219 532216 532214 532211
      533208 532205 532203 533201 535201 536204 538205 539205
541203 543177 540170 534163 530156
      523148 517135 511135 508135 506133 501124 499120 497115
      495111 492108 490106 484105 479102 476099 464085 459078
      453069 447065 441058 430048 427044 426039 426035 429037
      436043 444050 450055 456059 461060 463058 466058 467051
      466046 465040 462037 455030 449024 443015 440008 440995
      436987 430982 429977 429970 432963 440941 452931 455928
      459928 461933 465935 472931 476927 479923 484917 489908
      493900 497891 501872 503860 505851 509836 512823 514809
      514802 515798 515791 516786 515772 513757 511751 510742
      498697 494672 492661 489655 486652 479648 475649 474652
      471656 467654 462650 458649 452651 445658 441667 439680
      440693 434701 430708 428718 427728 425737 423741 420745
      419753 421766 423771 428772 433771 435768 440762 442758
      446762 448766 447773 446779 445785 445793 448797 449800
      447800 444798 441800 436801 423811 418820 416817 416814
      417810 417797 418794 418789 419784 418776 413767 409765
      403766 397772 387788 383797 378804 362803 358803 355805
      348810 341809 333811 330815 330821 325826 320827 316827
      307823 292819 270816 268812 265810 261812 259815 259818
      257820 262829 264832 267834 274837 283840 285841 286843
      288846 289852 287856 284862 276879 273902 269921 268933
      271943 270953 270958 274962 279966 283968 287969 320965
      326968 333968 344966 354964 363961 368956 371954 375953
      386953 395956 400959 401962 398975
 0.01 398975 398993 396002 395006 396011 402016 405018 407022
      405047 403050 400051 398043 394036 390035 387036 371041
      365047 366056 367066 371072 373081 371090 376096 379098
      383097 387095 391092 394089 396086 406075 410069 417065
      420063 422063 424065 429070 433074 435078 437083 432085
      418089 414089 412087 406090 400094 394098 390102 387103
      380110 376118 375121 377125 375130 376132 377139 378144
      380148 379151 376160 374165 374169 376173 380176 393184
      396185 398188 401196 408200 412199 415196 423193 427184
      430174 435167 439163 445167 450165 456170 458171 458174
      457177 460182 462181 465180 468177 470175 474176 470192
      469197 466200 461205 455211 456215 459218 474218 478219
      480221 484223 486227 491235 494243 501259 506257 510260
      514265 520269
 0.01 388201 387196 385192 380190 378187 373184 370183 367185
      369190 372193 375195 379197 382200 387201 388201
 0.01 386995 385990 384986 380982 375982 371980 367981 364984
      362989 362992 364997 367999 373999 376998 382998 385995
      386995
 0.01 355089 356086 356084 356082 354080 354079 352079 350079
      349079 348079 347081 346083 346085 346086 348088 348090
      349091 351091 353091 355089 355089
 0.01 342076 342072 337069 335066 334060 334055 330055 330062
      330066 333069 335073 336078 340078 342076
 0.01 237995 237993 237991 235991 233991 231991 231993 233994
      234995 235996 237996 237995
 0.01 228827 228825 228823 226821 224821 224823 223825 224827
      225829 227829 228827 228827
 0.25 513210 513204 510201 506198 504194 507187 503184 502178
      496182 492191 487198 487204 490207 499210 505204 511211
      513210
 0.25 504161 505158 505156 505153 505150 505148 505147 504145
      503144 502143 500142 498142 498144 498145 498146 499149
      499152 498154 499156 499157 500160 502161 503162 504161
 0.25 494748 492730 490716 488704 486694 482688 478688 476691
      470697 466704 466714 465718 460720 456728 456734 457739
      459748 461758 466767 471787 476810 479830 480836 479842
      477852 472867 470880 470886 473888 482888 486883 489875
      492863 494855 495846 496820 495795 495771 494748
 0.25 487131 487129 486127 486126 485124 483123 482123 480124
      479125 478127 477127 476127 476129 478131 479132 481133
      482133 483133 484132 486132 487131
 0.25 469118 470115 470113 470110 469109 468108 466109 465110
      464112 464114 464116 464117 465118 467118 469118 469118
 0.25 457120 458116 458111 456105 451101 444099 441100 439103
      437109 433114 431116 431121 435124 440128 447131 452128
      456123 457120
 0.25 451852 450845 448838 447836 444834 439834 434836 429840
      418846 411849 408849 405848 396842 385840 383841 379841
      373839 366838 362836 358833 355827 350825 343826 336829
      331834 327845 323843 317842 309843 304846 300851 298857
      298861 300863 303867 303881 301887 298893 293897 290904
      286914 284928 285943 288950 293954 299954 303951 309951
      315952 320955 326958 334957 341956 354954 363948 373943
      387938 396933 400929 399923 397915 399910 410901 426886
      435876 442867 448860 451852
 0.25 440925 441919 440912 438907 434906 431908 428912 423919
      419926 414935 414940 416945 417947 423949 426947 430943
      435935 439928 440925
 0.25 419154 419152 419149 419147 417146 416146 415146 414146
      412147 411148 410149 409150 408151 407152 408153 409154
      410155 411155 412157 412158 414159 416159 417158 418156
      418155 419154
 0.25 306835 306830 302827 294826 285823 277822 268818 263820
      263823 271828 278830 287832 295836 299838 304837 306835
 0.50 490795 489777 488769 487760 485755 482751 475745 470745
      471753 474768 477782 480795 484809 487821 489821 490818
      490810 490795
 0.50 441853 442849 441846 438845 435846 427853 423856 419860
      414864 407866 399872 395870 394864 394858 390854 383854
      378855 371855 367853 359849 352848 348846 339838 335841
      334848 333852 329857 322864 314875 312887 312894 316897
      320901 321903 320906 316909 310913 304915 300913 294913
      290916 289923 289931 291938 296943 301944 308943 313945
      318947 327952 334954 343953 348951 353949 362944 370938
      375934 382931 386929 389923 387918 389913 396904 399899
      403894 435864 441853
 0.50 430933 431930 431928 430926 429925 428924 426926 425928
      424930 424931 423933 423935 424938 424939 426938 428937
      429935 430934 430933
 0.50 303831 301829 298829 296828 293827 291826 287825 285824
      281825 281827 284828 286829 289830 291832 293833 297834
      299834 300834 303831
 0.50 274824 273822 272821 270821 269820 268820 266820 265821
      266823 267823 269824 271826 272826 274824
 1.00 391890 390886 388886 384887 370891 365893 362896 360899
      357900 351902 346904 339904 328911 320916 310923 305926
      300923 294921 293924 293929 295934 299937 310935 314937
      320939 324942 327947 332951 338951 345950 350947 359941
      363936 366932 369925 369917 371911 376907 380903 384901
      389897 391890
 1.00 368876 367874 366874 363874 360876 357878 355879 353881
      351883 351888 353890 356890 358889 360887 361885 363883
      365880 367878 368876
 1.00 350864 349860 344860 340861 337865 335867 333872 332875
      336876 339875 343873 346871 350866 350864
 1.50 365925 365921 364917 360913 350909 343910 337911 326915
      317922 313926 313930 316931 321933 325937 329941 332947
      337948 343947 348945 354941 357938 361932 365925
 1.50 303933 302931 301929 301928 300926 299925 297925 296926
      296929 297931 297933 299935 300935 301935 303933
 2.00 361925 357918 352917 346917 339917 332917 324922 321924
      321928 326935 331936 334939 337942 343942 352938 354936
      357932 361925

24HR QP VT 28/00Z
 0.01 513709 511687 509676 505675 502673 501669 502665 502660
      500653 498649 494645 487640 481637 478636 475638 473646
      470663 470668 469673 464679 452686 446690 443694 434705
      430710 424715 422717 420716 419718 418724 416728 410733
      403736 399740 395747 392752 387758 376767 368775 360786
      353798 326809 321813 318819 315826 314830 311833 299839
      286842 279845 279855 281862 285867 284871 281873 273878
      267882 268889 270896 274902 277907 282912 286925 288933
      286935 286940 286958 290964 295968 303969 307969 310967
      316963 319959 327946 330937 333928 335921 339917 346907
      351902 353896 359890 363890 366892 369894 370899 370905
      368909 366917 363923 360929 362933 362935 361938 348945
      343951 340956 339958 339963 340969 345984 348992 351998
      356003 362007 366008 369006 374003 384995 388988 391979
      393968 395963 395954 396949 394930 394919 395910 399892
      400889 403887 406881 408879 412880 420884 423885 425889
      427893 427900 429903 429909 428913 426916 424920 424931
      428935 437935 449931 455928 462923 466918 469912 473905
      476897 482892 486885 499862 503854 506847 508839 509828
      509808 510798 510787 514767 515762 515756 514741 513709
 0.01 509170 510164 509159 505151 498133 484095 480087 476079
      474075 472069 472065 473061 474043 473030 470021 466013
      456001 452991 450988 446987 439983 434982 430984 427987
      425991 421001 416008 411007 408005 401000 394996 390995
      388997 388004 390007 392011 393018 391026 393032 404043
      404047 402047 398045 390042 385042 384047 384054 382058
      373061 371065 371068 373071 384079 386082 385085 383090
      381094 381097 383103 383106 381109 375115 381128 383133
      382139 380142 380146 383148 383152 385162 386166 384170
      386173 390174 395175 399171 400169 403171 405177 408184
      410187 410192 412202 413205 417206 422204 426200 429195
      430191 432186 433180 434174 433169 429162 429156 428152
      428146 429143 431145 436153 441160 444167 445174 446179
      451181 457182 463179 468174 471172 477172 481173 485176
      486182 488188 489194 492197 495195 497191 499185 500180
      499175 502173 507172 509170
 0.01 252816 252810 250806 248802 246796 244794 241797 241803
      242809 243815 244820 248822 251818 252816
 0.25 503775 502760 500747 498733 494720 490709 486702 479695
      473686 471686 468689 463697 459707 456717 454722 454725
      461728 468735 469743 468749 464757 461767 454774 446780
      444783 443788 444793 446799 448804 450810 451816 452823
      451828 449832 444841 444846 444854 446859 448863 454870
      458879 460884 463886 467884 471881 476875 481867 487859
      492848 494840 497828 501803 503789 503775
 0.25 486138 487133 486128 484118 483110 480107 477104 473099
      472093 471090 465085 459084 457087 456092 455097 452100
      447104 442110 440112 435111 433112 434115 433121 440123
      445123 448122 456124 460126 464127 471129 476135 477137
      481140 486138
 0.25 457064 458062 457061 456060 454059 453059 452059 451061
      452063 452064 453066 454067 455067 457066 457064 457064
 0.25 436741 435735 432731 428732 424735 420737 421741 417748
      410755 404762 402772 403774 405775 409773 417769 424762
      430755 434748 436741
 0.25 419135 420133 420131 421128 421126 420123 418122 416122
      416123 414123 413125 413127 413129 414131 414132 415134
      417136 418135 419135
 0.25 400111 401106 398105 396107 394109 392112 391114 389116
      390121 394119 395118 397116 399113 400111
 0.25 393808 392799 388795 385794 372804 366808 362810 358811
      350814 342818 336822 329826 322831 318838 317842 314844
      308848 304855 301864 282889 284898 286902 289904 297907
      300916 304917 307916 310912 312911 326901 333898 339894
      345889 350881 354877 360871 373861 379857 382849 385840
      386836 385829 385825 388819 391813 393808
 0.25 384922 384918 385913 383911 380911 379913 378916 377919
      376922 375927 375931 377935 379938 382936 382934 383929
      384925 384922
 0.25 382979 381974 377970 373959 368952 364949 359951 351956
      348961 348967 348973 350978 355987 362995 368996 373994
      377991 380986 382979
 0.50 497773 496764 495754 493747 490741 487741 486744 483749
      482766 480768 477769 472772 468786 466792 462791 456789
      453790 452794 451801 453807 454811 456813 458822 456838
      451850 450859 451864 453865 459866 464870 469868 473864
      477859 480852 484841 489828 492814 495797 497773
 0.50 373985 373983 370981 366978 367972 368968 366965 361966
      357967 355969 356974 357981 359987 364991 367991 371990
      373985
 0.50 369849 370845 369842 363841 359839 357832 358828 362824
      363820 361817 355816 347821 336828 329834 326838 323843
      316851 309859 307863 305869 298878 296882 300883 304886
      305890 307892 327890 332889 337886 341882 344877 347873
      350870 355867 359863 364855 369849
 1.00 350833 349828 344829 339832 336837 334841 333848 333854
      331859 326868 324873 327878 330878 334875 339865 345858
      347854 349850 348846 348841 350835 350833
 1.00 318870 319868 318866 317866 315865 313865 312865 311867
      310869 310871 309873 309875 310877 310878 312877 314876
      315875 316874 317873 317871 318870

$$





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