000
FXUS04 KWBC 250836
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
435 AM EDT SAT MAY 25 2013


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 25/1200 UTC THRU MAY 28/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...


...NORTHEASTERN STATES...

THE SLOW MOVING CLOSED H5 LOW AND ACCOMPANYING SURFACE LOW ARE
STILL EXPECTED TO BRING SIGNIFICANT RAINFALL AMOUNTS TO NEW
ENGLAND..AND ESPECIALLY INTERIOR AREAS..AS THE VERY STRONG
DEFORMATION AXIS TO THE NORTH OF THE SYSTEM CONTINUES TO BE THE
FOCUS FOR THE PRECIPITATION.  THE LATEST MODEL MASS FIELD
FORECASTS AND QPFS ARE IN GOOD AGREEMENT ON THIS SCENARIO..SO
CONFIDENCE RATHER HIGH FOR THIS MANUAL FORECAST.  EXPECT
WIDESPREAD 0.50-1.00+ INCH RAINFALL TOTALS MUCH OF NEW ENGLAND AS
PER THE MODEL GUIDANCE..AND WOULDN`T BE AT ALL SURPRISED TO SEE
SOME WET SNOWS OCCUR IN THE HIGHEST ELEVATIONS FROM NORTHERN NY
STATE THRU NORTHERN VT AND NH INTO NORTHERN ME..MAINLY ON SATURDAY
NIGHT.


...NORTHERN HI PLAINS SOUTHEASTWARD INTO THE MIDWEST...

A COUPLE OF STREAMS OF H5 S/WV ENERGY IMPACTING THE NORTHERN HI
PLAINS AND MIDWEST THIS PERIOD..ALONG WITH EITHER A MOIST
SOUTHEASTERLY LOW LEVEL JET INTO THE HI PLAINS OR A
SOUTH-SOUTHWESTERLY LOW LEVEL JET AND WARM FRONT AFFECTING THE
MIDWEST..SHOULD LEAD TO 2 AREAS OF MORE
ENHANCED CONVECTION/RAINFALL AMOUNTS.  IN THE NORTHERN HI
PLAINS..H5 S/WV ENERGY INITIALLY IN THE NORTHERN GREAT BASIN WILL
LIFT NORTHEASTWARD INTO THE NORTHERN HI PLAINS LATER SATURDAY
AFTERNOON AND NIGHT AND TAP A SOMEWHAT STRENGTHENING SOUTHEASTERLY
LOW LEVEL JET BRINGING IN HIGHER PWS TO SUPPORT THE MORE ORGANIZED
CONVECTION FROM EASTERN MT INTO ESPECIALLY WESTERN ND.  EXCEPT FOR
THE UKMET HIRES MODEL WHICH MAY BE A LITTLE TOO HEAVY
QPF-WISE..THE REMAINDER OF THE GUIDANCE IS IN DECENT AGREEMENT ON
AT LEAST A SMALL AREA OF 0.50-1.00+ INCH RAINFALL AMOUNTS..SO
FOLLOWED THIS IDEA.  DOWN IN THE MIDWEST AND ESPECIALLY IA..AN
INITIAL ROUND OF CONVECTION EARLY IN THE PERIOD SHOULD BE FOLLOWED
LATER SATURDAY EVENING AND NIGHT BY ANOTHER MORE SIGNIFICANT ROUND
OF CONVECTION..AS MORE SOUTHERN STREAM H5 S/WV ENERGY NOW VICINITY
OF THE CENTRAL GREAT BASIN COMBINES WITH SOME INCREASE IN
SOUTH-SOUTHWESTERLY LOW LEVEL JET AND A WARM FRONT LIFTING TOWARDS
THE REGION TO SUPPORT THIS ACTIVITY.  THE GFS QPF LOOKS UNDERDONE
HERE..WITH THE NAM NOT QUITE AS BAD..AND IN GENERAL LEANED TOWARDS
NON-NCEP GLOBAL MODEL SOLUTIONS AND SOME OF THE HIGHER RES
MODELS..ALL OF WHICH HAD HEAVIER RAINFALL AMOUNTS.  COMBINATION OF
THE 2 EVENTS OVER IA SHOULD LEAD TO AREAL AVERAGE 1-2 INCH
RAINFALL TOTALS..WITH ISOLATED AMOUNTS AT OR ABOVE 3 INCHES
POSSIBLE.


...TX...

THE FORECAST HERE REMAINS QUITE A BIT MORE CHALLENGING..GIVEN
CONTINUED MODEL QPF DIFFERENCES AND
A PERSISTENT REGIME OF BROAD MOIST SOUTHERLY LOW LEVEL FLOW INTO
THE AREA BUT WITH A LACK OF ANY SIGNIFICANT SURFACE BOUNDARY TO
FOCUS AND CONVECTION.  IN ADDITION..ALTHOUGH A MID LEVEL SHEAR
AXIS HAS PUSHED THRU CENTRAL TX AT THIS TIME..SEVERAL MODELS SHOW
SOME CONVECTIVE REDEVLOPMENT TO THE WEST OF THIS AXIS..IN THE
BETTER AXES OF SLIGHTLY STRONGER LOW LEVEL JET AND HIGHER PWS..AND
IN FACT THE MOST RECENT RADAR IS SHOWING SOME OF THIS IS NOW
OCCURRING BETWEEN AUS AND SAT.  SO..MANUAL PROG INCORPORATED THE
IDEA OF SOME ENHANCED CONVECTION THIS PERIOD TO THE EAST OF THE
SHEAR AXIS OVER NORTHCENTRAL/NORTHEASTERN TX..BUT WITH THE
LIKELIHOOD ALSO OF SOME CONVECTION DEVELOPING IN THE BETTER LOW
LEVEL JET/HIGHER MOISTURE AXES BACK OVER SOUTHCENTRAL TX.  MANUAL
PROG MOST CLOSELY RESEMBLES THE NAM AND NON-NCEP MODEL QPF
SOLUTIONS..WITH THE GFS NOT PICKING UP THE ACTIVITY AS WELL WEST
OF THE SHEAR AXIS.  DIDN`T GO HEAVY WITH EITHER AREA AS CONFIDENCE
NOT THAT HIGH..BUT GIVEN SOME PWS GREATER THAN 1.75 INCHES
AVAILABLE..ISOLATED HEAVY RAINS CERTAINLY A POSSIBILITY.


...PAC NW...

THE NEXT EASTERN PAC H5 S/WV WILL ROTATE TOWARDS THE PAC NW
COAST..AND ESPECIALLY INTO COASTAL OR..LATE IN THE
PERIOD..UNDERNEATH THE VORTEX SPINNING ABOUT IN PLACE OVER
SOUTHWESTERN CANADA.
INCREASINGLY FAVORABLE LARGE SCALE LIFT WITH THIS APPROACHING S/WV
AND SOME PERSISTENT WEAK LOW LEVEL ONSHORE FLOW SHOULD LEAD TO
SOME ENHANCED RAINFALL TOTALS MUCH OF WESTERN OR..WITH MANUAL QPF
LEANING TOWARDS SLIGHTLY HEAVIER NCEP QPF SOLUTIONS.

DAYS 2-3...


...WEST COAST TO THE NORTHERN HIGH PLAINS...

A DEEP LONGWAVE TROUGH OVER THE WEST COAST WILL HAVE ONE SHORTWAVE
FOLLOWED BY ANOTHER SHORTWAVE MONDAY NIGHT INTO TUESDAY MORNING.
WEAK ONSHORE FLOW WILL STREAM MODEST MOISTURE INLAND OVER THE
NORTHWEST WITH PRECIPITABLE WATER VALUES OF 0.75 TO 0.50 INCHES
SUNDAY INTO MONDAY.  THE HEAVIEST QPF AMOUNTS WILL BE IN FAVORED
OROGRAPHIC ENHANCED AREAS ... WITH 0.25 INCHES OVER PARTS OF THE
CASCADES ... 0.25 INCHES OVER THE BLUE MOUNTAINS ... AND 0.30
INCHES OVER THE BITTERROOTS.  IN ADDITION ... UPSLOPE FLOW AND A
SURFACE TROUGH WILL CONTRIBUTE TO QPF AMOUNTS OF NEAR 0.40 INCHES
OVER PARTS OF THE NORTHERN ROCKIES.

FROM MONDAY INTO TUESDAY ... THE 12Z ECMWF HAD THE PRECIPITATION
MOVING TO FAR INLAND OVER CALIFORNIA ... WHILE THE 00Z ECMWF HAD A
LITTLE LESS QPF ADVANCING AS FAR INLAND ON DAY 3.  THE WPC USED A
BLEND OF THE 00Z GFS/00Z UKMET AND THE IN HOUSE PSEUDO BIAS
CORRECTED ENSEMBLE QPF DURING THE FIRST TWO PERIOD ON DAY 3.
AFTER INTERROGATING THE 00Z ECMWF ... A NEW BLEND OF THE 00Z
GFS/00Z ECMWF AND IN HOUSE PSEUDO BIAS CORRECTED ENSEMBLE QPF WAS
USED FOR THE LAST TWO PERIOD OF DAY 3.


...MIDWEST...

LOW AND MID LEVEL WARM ADVECTION WILL CHARACTERIZE THE DRIVING
FORCE BEHIND THE PRECIPITATION OVER THE MIDWESTERN SECTION OF THE
COUNTRY FROM 12Z SUNDAY TO 12Z TUESDAY.  MOISTURE FROM THE GULF OF
MEXICO WILL PUSH NORTHWARD OVER THE PLAINS INTO THE THE UPPER
MISSISSIPPI VALLEY/UPPER GREAT LAKES INCREASING THE PRECIPITABLE
WATER VALUES FROM BELOW 0.50 INCHES OVER THE REGION TO 1.25/1.50
INCHES BY TUESDAY MORNING.  SHORTWAVE ENERGY WILL AID IN
TRIGGERING CONVECTION OVER THE MIDDLE MISSISSIPPI/WESTERN OHIO
VALLEYS WHICH WILL GRADUALLY EXPAND INTO THE UPPER MISSISSIPPI
VALLEY/UPPER GREAT LAKES.  THE HEAVIEST QPF WILL REMAIN OVER THE
MIDDLE MISSISSIPPI VALLEY /WESTERN OHIO VALLEY.  THE WPC USED A
COMBINATION OF THE 00Z MODEL GUIDANCE TEMPERED BY AN ENSEMBLE
BASED QPF PROBABILITIES.


...NORTHEAST...

A DEEP CLOSED LOW WILL SLOWLY LIFT NORTHWARD FROM THE NORTHEAST
AND INTO SOUTHEASTERN CANADA FROM SUNDAY INTO TUESDAY.  RESIDUAL
ATLANTIC MOISTURE WRAPPING AROUND THE LOW WILL PRODUCE MODERATE
RAIN WITHIN THE DEFORMATION ZONE/COMMA HEAD OVER MAINE EARLY IN
THE DAY 2 PERIOD...BUT BY LATE SUNDAY/EARLY MONDAY...ANY
SIGNIFICANT PRECIPITATION SHOULD HAVE LIFTED NORTH INTO CANADA.
THE WPC FORECAST WAS BASED ON A COMBINATION OF THE ECMWF/GFS SINCE
THEY WERE IN RELATIVE GOOD AGREEMENT ACROSS THE NORTHEAST.


TERRY/ZIEGENFELDER

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

24HR QP VT 26/12Z
 0.01 513651 509667 504682 499696 492710 485722 479729 476734
      466744 463748 460751 454755 441763 435762 430760 426760
      420758 417759 414758 409755 401750 401743 399735 398730
      397722 400716 403713 405709 408707 414699 417695 424691
      427688 427683 423675 415658 413651 417645 423639 421635
      418633 415629 413623
 0.01 491599 490601 489605 487607 485610 482612 480613 479613
      475612 472611 470607 469607 467605 465602 463599 461595
      459592 457589 456589 454587 452585 450584
 0.01 540202 539191 536179 533167 526159 512150 506146 503149
      501154 496161 490166 486170 488173 489177 488180 485187
      483196 477205 474206 470210 461210 455214 447216 438216
      431220 426223 426231 418233 413233 410236 408240 408245
      413252 417255 420259 424261 429262 436261 444260 460256
      463254 467254 470251 476252 481247 480235 482233 484235
      485238 489247 493258 494268 499275 502277 505273 518273
 0.01 508045 509031 508026 507023 502017 496010 490005 486001
      479996 474993 471990 468990 463985 455969 444938 434909
      427897 421886 410874 403867 396867 391871 389878 389885
      390896 393910 395918 396922 394924 389928 385931 383935
      384938 386943 389946 393952 397957 400966 402975 405981
      411987 413989 415995 419999 424006 425013 428019 429024
      432029 435034 437047 438052 440056 441060 444064 450066
      454072 457080 458091 457097 455099 453093 451093 445096
      441096 440100 441109 446113 449122 451126 450132 448139
      447150 449159 452160 455156 456146 456143 455139 455127
      458120 458114 461110 465108 469108 476107 479103 480099
      482095 483091 484084 486081 488075 491071 499063 508045
 0.01 377028 377021 372020 368018 362018 354019 351020 348022
      340024 337024 335027 329028 323032 319034 315032 310033
      307039 309042 313046 321046 325046 330048 344049 361047
      363047 366044 369040 377028
 0.01 372964 372960 369958 362955 354955 348952 337945 330941
      323939 318937 310936 303936 297938 295941 295944 299950
      302953 302959 302963 300966 294970 287972 274979 270984
      269988 269993 269001 271007 275011 278013 282015 288018
      292022 297022 300024 307024 320019 326015 330013 335012
      341008 347004 351999 352995 354991 356983 358980 362978
      370972 372964
 0.01 270050 269046 266044 262041 259039 256036 253033 249032
      244032 240034 241039 244041 247043 251045 255047 259048
      263049 266051 270050
 0.25 507638 507644 504655 498674 490688 487699 485706 481713
      476722 466735 460741 452747 443750 436750 431749 426747
      420743 415737 413730 416720 420713 424707 435694 438690
      439686 440679 438674 436669 434664 433658 441645 440627
      442621 447620 452623 457627 464629 469630 475633 481634
      485630 487626 493619 498616
 0.25 434602 435602 439603 443604 443599 440597
 0.25 531209 533205 533200 532192 529185 527180 524177 522173
      516169 513171 510175 510179 512187 514194 516199 518205
      520211 523214 528213 531209
 0.25 519259 519254 518252 516248 516247 514243 512246 512251
      512253 514257 514258 517260 519259
 0.25 491054 492046 493036 491028 490023 487019 481015 478015
      473016 469017 464019 461022 458025 455024 449024 449031
      453039 459048 460055 461064 464068 468070 476066 482064
      485062 488059 491054
 0.25 459241 459236 455234 452231 451226 452221 448219 442219
      438221 436223 432232 428236 422239 419243 420246 424249
      428251 435250 442248 450246 456244 459241
 0.25 439959 438947 436939 434928 430917 427909 423902 419896
      414889 408887 404889 402893 402897 402907 402924 402935
      404946 406954 407959 410963 414968 422970 428973 434973
      436971 438967 439959
 0.25 347965 343958 337953 331950 327950 322952 318967 312973
      305978 296978 291979 287981 282985 281989 279994 283002
      286004 291004 310002 320000 323999 326995 328987 332981
      337975 339972 344971 347968 347965
 0.50 503632 501627 499625 496625 492629 489636 486641 482644
      461635 455634 453633 452636 450639 449644 448652 444666
      447675 447683 444690 441697 432711 425723 424727 424732
      426737 429741 434742 440743 446743 452741 458735 463730
      473717 477711 480703 481684 482678 485670 487666 491664
      496661 499654 501646 502637 503632
 0.50 486046 487041 487037 487028 484023 481021 478021 473025
      470028 467034 466038 466047 468052 470057 476058 482055
      485050 486046
 0.50 446237 446236 443235 441235 440235 437235 434237 434238
      430239 428239 427241 424242 427244 430244 432245 436244
      439244 440243 442242 445241 445240 446237
 0.50 445224 445223 442223 445225 445224
 0.50 435952 432936 428920 425912 422907 415897 411895 408897
      407903 405919 406935 409949 411957 415962 420964 427965
      432965 433964 435960 435952
 0.50 335967 337963 336960 334957 328956 326958 326965 324970
      322972 318976 318980 320981 325979 328976 330973 333969
      335967
 0.50 316990 315986 312983 306983 300983 298982 294983 289984
      287987 286990 287992 290994 293996 299997 304997 310995
      315993 316990
 1.00 466706 464700 463697 460697 456706 452708 449709 446712
      441720 439724 439730 442733 446735 453733 460725 464719
      466715 468710 466706
 1.00 479042 481037 479033 479032 478033 476035 474038 473041
      473042 473043 476045 479043 479042
 1.00 430957 431950 431944 428933 425926 421915 417908 415907
      413909 411918 410926 410931 411937 413944 417951 420955
      423954 429957 430957
 1.50 426946 427941 426937 425934 424930 423927 422926 421923
      419920 416921 414925 414927 414929 414930 415932 417936
      418939 419939 421943 422944 425946 426946

24HR QP VT 27/12Z
 0.01 511651 505639 503636 500634 496634 494635 489637 486637
      479634 476633 473630 470632 471636 471639 469641 467640
      462643 459643 453643 445650 440653 439657 440660 441661
      445659 449655 451656 447665 443672 436681 435688 432694
      431698 431701 434707 440707 443706 445708 430722 426730
      428738 435741 437742 440747 442753 445755 451758 459755
      468749 476742 481736 485731 486728 489724 491720 495715
      496711 500703 504693 508683 511674 512666 511656 511651
 0.01 528208 530199 530189 530184 527178 524173 522173 518175
      516175 510174 498172 495175 494180 503184 505188 511189
      512181 517191 519196 519200 521206 524212 528208
 0.01 520030 518021 514013 507002 504998 504992 503982 496972
      487961 483957 477955 466950 459947 454942 450935 446929
      442921 439914 436908 434899 433890 430883 427872 424860
      421854 416845 408836 404833 398832 392841 387852 386859
      384864 383879 381885 379887 375889 370891 368893 365899
      362905 360911 361927 356941 356949 358952 362956 368955
      370957 371961 369967 371979 374986 378989 380992 383993
      404001 416007 419008 422010 425013 426025 429029 432033
      432036 438044 445044 447044 448039 450038 451043 450051
      447058 444064 443072 449088 448098 448109 450115 454121
      454125 451129 450131 451136 449142 446143 439148 440162
      438166 435167 427166 422169 418173 417191 415198 412203
      413209 416213 419218 420222 419227 417232 414235 412238
      412242 414247 418250 422252 428251 435250 440248 444244
      484241 482236 480234 472231 468227 471222 475220 479221
      485222 490226 495227 496224 497218 494212 490209 486209
      482207 478207 473210 470211 464212 457213 453214 449214
      447212 447206 456198 458195 460190 462187 464182 465170
      470163 474159 478152 481145 485144 488148 491149 494149
      495147 493138 491132 489125 491117 492107 493095 493082
      493074 494069 503070 506072 512063 514058 516053 517048
      519038 520030
 0.01 444109 444105 441108 438108 438112 441109 444109 444109
 0.01 355013 353009 351011 348012 347013 347017 348018 351018
      352016 354014 355013
 0.01 264976 262982 267986 277991 283997 290998 298997 310994
      314988 313981 307979 300980 295979 286975 280973 274974
      264976
 0.01 310039 310036 307036 306036 304039 304040 307040 310040
      310039
 0.01 266793 261793 258792 253794 251796 246799 245803 242806
      241809 242815 246816 249812 253809 254806 257803 261800
      264797 266793
 0.01 241996 236999 240003 246006 251011 256009 255002 249997
      241996
 0.25 500667 495661 489661 482660 477657 471657 463662 456670
      452677 450681 451684 456687 462686 466683 470682 475684
      479688 480694 478702 474710 473715 473719 476720 481718
      487710 491701 495685 499677 500672 500667
 0.25 504031 504027 503022 502020 499020 497023 496027 498032
      499034 502035 504031
 0.25 493005 492001 492000 489000 488001 486006 489009 492008
      493005
 0.25 482112 482103 482096 481090 479082 476079 472081 468085
      466089 465098 466106 467111 470115 475118 480116 482112
 0.25 480072 480068 479067 478068 479072 479075 480072
 0.25 476055 474051 473050 470050 470051 469055 470056 473056
      476055 476055
 0.25 469153 469149 468147 465145 462144 459145 456147 453151
      454155 455159 456160 458161 459160 461160 464158 466157
      467156 469153
 0.25 446224 445223 442221 439221 436221 434220 427219 428223
      434224 439225 441226 445225 446224
 0.25 437947 437938 435933 429921 427915 424909 422891 420882
      418875 415869 412865 407862 404862 401863 397868 395872
      392900 388909 385913 380918 378923 379924 383936 390946
      391952 392960 396974 399980 403984 407986 413986 417983
      420977 423972 425966 427960 429956 436951 437947
 0.50 491670 490666 488666 485667 482668 479669 476668 475667
      473666 471666 468667 466670 464674 467674 469674 471674
      474673 476673 477677 479679 480680 483680 486678 488676
      491675 491670
 0.50 425942 426936 425932 422926 418923 413921 409920 407922
      405927 404936 399940 396952 397960 400966 405977 409979
      412977 413968 413962 411957 407952 405947 407942 412946
      416947 419946 425942
 0.50 416900 416893 415885 413878 410873 406869 403868 401871
      400878 400882 402889 403893 404900 407907 411909 414908
      415905 416900

24HR QP VT 28/12Z
 0.01 488678 486674 485670 483667 481666 480665 478662 476661
      473662 470665 469668 468670 469674 471677 472678 474680
      476684 477687 479691 481692 483692 485693 487690 488688
      487684 487681 488678
 0.01 435043 436052 438068 445082 444091 434092 432097 438108
      451122 456146 456161 449164 444167 443182 439183 431172
      422160 425142 419140 408145 405161 407177 415187 412203
      419210 423203 429194 436195 443199 456186 464178 469175
      479178 487179 497186 506195 512193 517178 519173 526167
      528155 529130 530106 529083 528055 514021 509994 505942
      496899 483873 470858 458856 448845 434821 420798 409784
      397777 391764 380768 372779 374797 370805 354820 345836
      350846 368827 372828 370839 368850 370880 370908 374944
      374960 358982 335008 323031 313044 316052 325051 340036
      357013 372999 390996 403005 425028 435043
 0.01 510284 513276 512270 512265 510262 507256 501254 500249
      499244 500241 504238 503233 500228 500218 498212 493209
      488207 482207 479209 460212 452214 447213 440213 437214
      431214 424219 421224 418225 418220 417214 406210 396204
      390201 387197 384197 383200 388205 390210 394214 397217
      401219 404223 403226 400229 394228 388228 385230 383235
      382241 384249 389254 392256 402257 411260 414261 417260
      421260 430259 442263 452267 457270 460274 465278 468281
      477289 481291 487292 490291 493286 492280 490274 489270
      492270 494275 497279 503281 510284
 0.01 409056 416051 416042 409042 403043 395050 394062 399063
      405059 409056
 0.01 270801 270797 268796 265793 258792 253793 248796 243802
      239810 239814 241816 245817 247819 250818 252821 255823
      257824 260823 262820 258812 255807 262804 268803 270801
 0.25 505114 507105 507094 507086 506079 499054 497045 496040
      494032 493023 489013 484002 480999 475999 471999 468001
      459000 455001 451006 448015 448023 449027 459048 463060
      468071 470085 473096 476101 479103 490106 497114 502115
      505114
 0.25 487916 487911 484909 480905 476899 474894 473890 474886
      475880 474875 473873 471871 468874 465888 463895 461903
      460920 459936 461941 464940 468935 474932 477932 480929
      484922 487916
 0.25 470219 467216 463218 457219 454220 448219 443217 438218
      434219 432220 431224 433227 435228 440227 444226 448224
      454223 459224 463224 466222 470219
 0.25 458254 459241 454237 449236 439234 428233 423231 417232
      408233 401237 399242 402246 414251 420251 425250 435250
      443252 451256 455256 458254
 0.25 450927 448921 444912 440897 439887 437876 432858 425846
      417836 414833 411833 408835 404845 402852 402862 402868
      402877 399905 398911 399922 399926 397936 396949 396958
      398965 403968 410969 414969 422970 425969 429966 432960
      434947 435943 438940 442937 448933 450927
 0.50 488046 488041 485035 482033 479034 476035 473033 469038
      469047 469055 473059 476059 479058 484055 487050 488046
 0.50 431244 430242 429240 428238 425236 422235 419234 416235
      415235 413238 412238 410242 412244 414245 417247 420247
      423247 426247 429245 431244
 0.50 425918 424905 422895 419886 417876 412868 410866 406868
      408876 410883 411888 411891 409895 408899 409904 411908
      415916 416921 416926 416932 411947 411957 415961 420955
      423949 424938 424930 424920 425918

$$