Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 242111
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
510 PM EDT FRI MAY 24 2013


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...

...NORTHEASTERN STATES...

SLOW MOVG CLOSED UPPER LO EXPECTED TO BRING SGFNT RNFL TOTALS TO
NEW ENG..PARTICULARLY INTERIOR AREAS..AS VRY STRONG DEFORMATION
AXIS TO THE NORTH OF THE SYSTEM CONTINUES TO BE THE FOCUS FOR
PCPN.  MODEL QPFS IN RELATIVELY GOOD AGREEMENT IN THIS REGARD WITH
TODAY`S MODELS TRENDING A LITTLE SLOWER WITH LIFTING PCPN NEWD AS
WELL AS BEING SLIGHTLY HEAVIER WITH TOTALS.  THE 12Z GFS QPF
STAYED VRY CONSISTENT WITH ITS PAST TWO RUNS AND SEEMS A
REASONABLE FIRST GUESS FOR THIS QPF GIVEN ITS GOOD AGREEMENT WITH
THE GEM REGIONAL FCST.

...CNTRL U..S FROM THE NRN PLAINS SWD TO TX...

COMBO OF PIECES OF ENERGY BEING EJECTED FROM THE CURRENT NORTHWEST
UPPER LO AND VRY SLOW MOVG TROF MOVG ACROSS TX IN THE SRN STREAM
WILL BE RESPONSIBLE FOR FIRING SHWRS ACROSS THIS RATHER LARGE AREA
OF THE NATION.  THREAT FOR MOST ORGANIZED/SGFNT PCPN APPEARS TO BE
FM THE CNTRL PLAINS EWD INTO THE UPPER MIDWEST AS A STG MSTR FLUX
INTO THE REGION AIDS A WAA PCPN EVENT DVLPNG AS A WEAK SHRTWV AND
BROADLY DIFFLUENT FLOW ALOFT BECOME INVOLVED BY LATER THIS EVNG.
MOST MODEL QPFS STGLY HINT AT THIS EVENT THOUGH LATITUDINAL
PLACEMENT DIFFERENCES EXIST.  THE UKMET AND GEM REGIONAL ARE IN
PRETTY GOOD AGREEMENT ON PLACEMENT AND SEEM TO SUPPORT THE GFS
MASS FIELD FCSTS SO LEANED IN THEIR DIRECTION FOR THE MOMENT.
MEANWHILE..ONGOING WAA SHWRS INVOF THE ERN DAKOTAS WILL LIKELY TO
ADVANCE INTO THE UPPER MS VLY BY LATER THIS EVNG AND TNGT
SUPPORTED BY ANOTHER WEAK SHRTWV.

FARTHER SOUTH..THINGS ARE A LOT MORE MURKY.  MODEL QPFS ARE ALL
OVER THE PLACE HANDLING THE QPF ASOCTD WITH THE SRN STREAM SYSTEM
NOW MOVG ACROSS TX..AND THE BNDRYS THAT HAVE BEEN LAID DOWN WITH
THE CNVCTV SYSTEM THAT IT GENERATED LAST NIGHT AND CURRENTLY
CONTINUES OVR S CNTRL TX.  IN ADDITION..THERE IS A LOT OF
SPECULATION AS TO HOW MUCH CNVCTN CAN GET GOING IN THE LEE OF THE
SRN ROCKIES THIS EVNG AS LLVL INFLOW RETURNS TO THAT AREA AND IS
LIFTED ON THE BACKSIDE OF THE AFOREMENTIONED SYSTEM UNDER
RELATIVELY COOL CYCLONIC FLOW ALOFT.  ATTEMPTED A BLEND OF MODEL
GUIDANCE HERE INCORPORATING THE GEM REGIONAL/ECMWF/UKMET BUT HAVE
VRY LO CONFIDENCE WITH THE QPF HERE.

FINALLY..LATER SAT AFTN AND EVNG...THERE IS SOME AGREEMENT THAT
SHWRS WILL BREAK OUT OVR THE NRN HI PLAINS IN CONJUNCTION WITH
ANOTHER IMPULSE..AND INCRSG PWS AND INSTABILITY THAT MODEL MASS
FIELD FCSTS ARE DEPICTING FOR THAT AREA.

...PAC NW...

LGT SHWRS WILL CONTINUE ACROSS THE PAC NW AND EXTRM NRN INTERMTN
REGION EARLY IN THE PD AS ONE PIECE OF ENERGY ROTATES NEWD OUT OF
THE REGION ONLY TO BE REPLACED BY ADNL ENERGY APCHG THE AREA LATER
TMW AFTN AND EVNG.

DAYS 2-3...


...PACIFIC NORTHWEST TO THE NORTHERN HIGH PLAINS...

A LONGWAVE TROUGH AMPLIFYING OVER THE WESTERN U.S. WILL KEEP
WEATHER UNSETTLED OVER THE NORTHWESTERN CORNER OF THE COUNTRY.
SHORTWAVE ENERGY WITHIN THE LARGE SCALE FLOW WILL SLIDE INTO THE
PACIFIC NORTHWEST LATE SATURDAY/EARLY SUNDAY...SPREADING SCATTERED
SHOWER ACTIVITY ALONG THE OREGON COAST INLAND OVER THE
INTERMOUNTAIN WEST AND NORTHERN ROCKIES.  MODEST MOISTURE SHOULD
LIMIT PRECIPITATION TOTALS...BUT AS THE SHORTWAVE ENERGY LIFTS
NORTHEASTWARD ON MONDAY AND A SURFACE LOW DEVELOPS IN THE LEE OF
THE NORTHERN ROCKIES...SOME HEAVIER PRECIPITATION WILL BE POSSIBLE
ALONG THE UPSLOPE SIDE OF THE HIGHER TERRAIN IN MONTANA.
ALSO...SOME HEAVIER PRECIPITATION IS EXPECTED TO MOVE INTO THE
OREGON AND NORTHERN CALIFORNIA COASTS BY THE END OF THE FORECAST
PERIOD AS A SECOND AND MORE POTENT SHORTWAVE...WITH A STRONGER
CONNECTION TO PACIFIC MOISTURE...BEGINS DIGGING INTO THE WESTERN
U.S..

MODELS WERE IN FAIRLY GOOD AGREEMENT DURING THE DAY 2 PERIOD...BUT
BY DAY 3...SOME TIMING DIFFERENCES DEVELOP WITH PRECIPITATION
REACHING THE OREGON/NORTHERN CALIFORNIA COASTS.  THE WPC FORECAST
RELIED ON THE AGREEMENT BETWEEN THE GFS/ECMWF...WHICH WERE BOTH ON
THE SLOWER SIDE OF MODEL SPREAD WITH MOVING MODERATE/HEAVY RAINS
INLAND.


...CENTRAL PLAINS/MIDDLE MISSISSIPPI VALLEY/MIDWEST...

A FRONTAL BOUNDARY SETTING UP FROM THE CENTRAL PLAINS TO THE
MIDWEST WILL SERVE AS A FOCAL POINT FOR PRECIPITATION DURING THE
DAY 2/3 PERIOD.  WEAK SHORTWAVE ENERGY RIPPLING THROUGH THE STRONG
UPPER RIDGE IN PLACE ALOFT SHOULD HELP IGNITE CONVECTION ALONG THE
FRONT...AND ANOMALOUS AMOUNTS OF MOISTURE GETTING PULLED NORTHWARD
OUT OF THE GULF SHOULD ALLOW FOR WIDESPREAD MODERATE TO HEAVY
RAINS SUNDAY AND MONDAY.

THE MAJORITY OF MODELS ARE ADVERTISING AN ELONGATED AREA OF
0.50-1.00 TOTALS FOR BOTH DAY 2 AND 3...BUT VARY IN THE EXACT
AXIS.  FOR DAY 2...THE GFS/ECMWF WERE SIMILAR ENOUGH TO USE A
BLEND OF THE TWO...BUT BY DAY 3...THE WPC FORECAST RELIED MORE ON
ENSEMBLE MEAN GUIDANCE TO PINPOINT THE MAXIMUM PRECIPITATION
POINTS.  THIS RESULTED IN A SWATH OF 0.50-1.50 INCHES STRETCHING
FROM NORTHWESTERN IOWA INTO CENTRAL ILLINOIS...AND THE AXIS OF
HEAVY PRECIPITATION ONLY SHIFTED SLIGHTLY TO THE NORTHEAST FOR THE
DAY 3 FORECAST.  A SLIGHT RISK OF EXCESSIVE RAINFALL WAS ISSUED
FOR THE DAY 3 FORECAST OVER PORTIONS OF EASTERN IOWA AND NORTHERN
ILLINOIS...WHERE MULTIPLE DAYS OF HEAVY RAINS COULD MEET OR EXCEED
FLASH FLOOD GUIDANCE VALUES.


...NORTHEAST...

A DEEP CLOSED LOW WILL SLOWLY LIFT NORTHWARD THROUGH THE NORTHEAST
AND INTO CANADA DURING THE DAY 2/3 PERIOD.  A PLUME OF ATLANTIC
MOISTURE WRAPPING AROUND A SURFACE LOW INCHING UP THE NEW ENGLAND
COAST WILL LEAD TO SOME MODERATE TO HEAVY RAINS WITHIN THE
DEFORMATION ZONE/COMMA HEAD OVER NORTHERN VERMONT/NEW HAMPSHIRE
AND ACROSS 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 SUCH GOOD AGREEMENT ACROSS THE NORTHEAST.


KORTY/GERHARDT

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

24HR QP VT 26/00Z
 0.01 492643 490635 487631 482626 476623 469621 465622 461623
      457626 454626 447628 439633 433637 428640 425640 418644
      415648 414652 416663 410670 406673 405676 397683 392690
      389697 386705 386714 385718 386724 388728 391732 397735
      400740 401746 400750 402754 408757 414759 421761 428760
      437756 441755 444755 452751 461744 466737 476722 479717
      481713 483704 486684 486678 488674 490664 491655 492643
      492643
 0.01 542198 544182 545169 544158 543147 539127 538122 536119
      532111 526106 524104 520103 516109 513115 510123 509135
      508141 505144 501140 495135 487132 480133 480138 484140
      485144 488152 484153 479151 470148 468145 466144 462144
      459145 455147 451150 447150 440149 438149 438153 441157
      446159 448162 453163 455162 456166 453172 448179 444182
      443190 449192 452192 452188 456181 460177 462178 463172
      463169 470171 475172 479175 482182 484186 484192 478198
      470206 458211 454215 449217 440218 434220 424226 415232
      410234 413240 416243 418246 418250 417255 420261 422263
      426263 436259 442255 445258 457253 462251 467251 475253
      479254 481252 483250 485252 488254 493258 495264 494268
      497270 499275 502276 506273 510272 515274 518273
 0.01 504962 502949 498945 493942 488942 484940 480935 477928
      473921 469917 459910 448900 440892 434887 428885 422882
      414883 410879 406873 389853 385848 382842 378836 374834
      371841 370849 372865 373877 372885 370898 369906 370914
      373911 379908 381906 384909 384919 382927 379929 375930
      368932 365936 361935 362930 361927 356927 351927 343929
      336932 331935 324936 319933 312925 310922 307919 301915
      299915 296921 297929 298936 299940 297944 293948 293955
      288954 283956 278960 271969 266967 259969 247974 248980
      251982 251987 253998 255002 256006 258012 265024 268029
      271033 276037 280040 284044 286049 291053 296056 302057
      311056 315053 318054 320056 325060 331058 337054 342050
      349048 357047 362045 366043 372030 371029 366029 362031
      356035 352036 348035 343031 350029 356026 363024 390014
      394032 400033 407031 409029 411030 415035 417038 421039
      425045 432060 439069 441073 446075 447076 451076 456074
      464073 473073 481074 491068 496062 497059 498055 500050
      500045 499031 496026 493023 490021 481014 478011 473010
      468006 459996 453982 444971 442962 445961 450965 454971
      458976 464979 470980 476983 480985 486984 493978 504962
 0.01 464110 464106 461102 458101 457105 455108 452109 449113
      452118 455122 458118 458114 461110 464110 464110
 0.01 377970 377967 377963 376960 374957 372960 369961 366965
      364969 364973 365976 363980 362980 360984 363987 366986
      368983 368982 371981 373978 373977 375974 376973 377970
 0.01 270801 269798 266799 264800 261801 259802 257805 254806
      254807 253810 252811 253812 256813 257814 259812 262811
      264810 266807 269806 269804 270801 270801
 0.01 294065 289059 284053 280047 277044 273041 269039 263039
      252040 250044 250046 255052 257057 259060 266064 276065
      283069 288070 292068 294065
 0.25 482647 480641 477637 473632 470632 467632 460633 454635
      449638 435647 429654 427660 427669 428676 429686 426690
      413696 407698 402703 399710 401716 405722 406728 409745
      413750 418752 425751 430749 445743 453738 459731 463725
      467719 471711 474704 478689 481673 482658 482647
 0.25 538191 538162 536149 533139 530134 526131 521133 518139
      517155 514162 508172 508181 509185 512197 515208 516213
      514220 512224 510231 509240 510246 511257 514261 516262
      520260 522254 523250 523246 521235 521228 522223 533208
      535203 537196 538191
 0.25 472952 472947 470943 469943 466940 463940 460941 458942
      459946 461948 462950 464951 467953 470954 472952
 0.25 435943 434933 431926 424918 417908 411903 407901 397897
      396901 396905 398914 401923 402932 404938 406941 406946
      406951 405954 403954 398950 396948 393951 392955 393964
      395973 397978 403981 405984 405988 403994 402003 400010
      400015 401019 403020 406019 411016 420023 427013 430006
      430997 429986 428977 430962 434948 435943
 0.25 338970 339964 339959 337956 334956 328958 322962 313972
      306975 302979 298981 294982 287983 280982 275978 269981
      265985 264988 264993 266999 271005 275009 284017 289022
      289031 290034 294036 299037 305035 309031 315043 322046
      327045 329040 326035 320030 315026 309025 306024 305020
      305010 309007 314003 318997 323985 325981 328978 333975
      338970
 0.50 478656 476646 471639 466638 463638 457639 452642 443648
      438653 435657 432663 433671 441681 442687 438693 417706
      411709 410713 413729 416743 421746 425745 435742 442740
      447736 456727 463716 469704 474690 476678 478666 478656
 0.50 532195 532185 534175 535168 535161 532151 530145 525142
      522144 522151 523158 522168 519177 518183 520191 521198
      525202 529200 531195 532195
 0.50 429949 429942 428937 424930 420923 416916 413915 409916
      408921 410926 411937 412943 411949 409957 407964 405967
      401968 401970 405970 408972 409976 409986 410994 413002
      416010 418011 422011 425005 426999 426993 425981 426973
      427961 428953 429949
 0.50 305998 305994 301994 299995 293992 285993 278991 273987
      268992 269997 272001 278006 283009 289010 293005 299001
      301999 305998 305998
 1.00 471657 471652 469649 466647 460648 456651 452654 447657
      442662 441664 444667 447667 451666 456665 461667 465667
      468666 470663 471657
 1.00 459702 454701 446704 438709 431713 424716 422724 423732
      425736 429737 434736 443731 450725 454718 458709 459702
 1.00 423954 422946 417951 415958 415968 415979 414987 418994
      419998 422000 422990 422978 423970 422958 423954
 1.50 448715 445712 443713 440715 440716 438719 436721 433722
      430723 428727 428729 429730 431731 433731 436730 439729
      441727 444725 446722 448720 447717 448715

24HR QP VT 27/00Z
 0.01 513651 512659 512666 511673 509678 507687 501701 493717
      485730 476744 463753 455758 446762 435764 423759 419756
      417749 417747 414742 409736 403724 402719 403716 405709
      408706 409702 414698 429686 435681 438676 441672 443667
      443658 442651 438647 427639 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 535216 537209 538203 536191 528174 525168 522165 520162
      509149 506146 503149 502155 499162 495165 490166 486170
      489175 494173 499175 501179 508195 518209 522215 529219
      535216
 0.01 512049 512035 511027 510024 507016 502008 492998 479987
      470982 464974 463967 463962 464953 464945 463937 460932
      451918 446912 443909 438903 431895 420883 415873 409866
      405860 399855 388848 380845 373837 365822 362821 359821
      356823 354827 353833 354836 357835 361835 364837 364842
      362846 362856 366864 368877 366881 362886 359887 352890
      349893 344896 341901 340905 340910 342914 347916 353918
      355920 355924 353931 353940 355946 357950 359952 362955
      365957 368961 373968 378974 382978 386979 386983 379985
      375993 375004 382006 393006 403016 412027 427038 429041
      433042 435044 438048 441052 444053 449050 453052 456056
      459061 465068 470070 474073 484075 489075 494074 500072
      505065 510055 512049
 0.01 494217 494212 493211 489213 485213 482209 481209 476209
      474212 467213 460213 455214 448213 446212 446209 449204
      453200 458195 461188 463185 464178 465172 466167 469162
      474159 477155 478150 477145 476141 478138 480136 483136
      486139 490143 492139 485126 485116 483110 484096 483089
      481086 477080 471078 467080 466082 463088 461095 454096
      450101 449109 452118 453120 454123 454126 450131 452138
      451142 444145 441151 440161 438166 433167 425167 418173
      417182 418187 416194 414201 412203 412207 413210 417213
      419219 420223 419227 417230 414231 411235 408237 408243
      410250 417253 422254 428253 434251 445250 468244 470240
      473239 477244 480246 483246 484241 481234 477232 471231
      468230 468226 472221 477220 480219 484220 488221 491220
      494217
 0.01 344969 344962 340959 334960 329964 323970 319974 313977
      308978 305978 299980 294979 286975 280973 272975 266976
      262979 261981 262984 268985 270987 270990 270991 265995
      265002 266009 268012 276020 284025 290025 295024 299020
      303017 306015 310014 317014 323013 327011 331005 331998
      331990 332986 340976 344969
 0.01 270050 269046 266044 262041 259039 256036 253033 249032
      244032 240034 241039 244041 247043 251045 255047 259048
      263049 266051 270050
 0.01 256006 254003 254000 253999 250997 247996 244996 242997
      239997 236998 236999 237999 238002 239002 242003 244004
      245005 246007 248008 251009 253009 254009 256006 256006
 0.25 507637 501674 497690 494699 490708 486715 480722 466734
      459740 453743 450744 445744 439739 435734 434729 436726
      450713 449708 446707 440707 437704 438699 441691 450677
      453669 455660 455645 451638 444632 435625 433619 435617
      441616 445617 451620 458628 464634 468637 474638 477639
      482635 488625 492620 498616
 0.25 434602 435602 439603 443604 443599 440597
 0.25 494041 493035 489028 483015 479010 475006 469004 464004
      460009 454011 449014 448017 449021 459026 468034 471039
      473046 475051 477054 482057 485057 488056 493050 494041
 0.25 473107 476104 473098 472094 470091 469093 469098 470101
      471102 472107 473107 473107
 0.25 450225 451221 448220 445219 443218 440217 438218 437218
      434219 431220 430221 427222 427223 427224 429227 430228
      432231 434233 437234 438234 440235 443232 444232 447229
      447228 450225
 0.25 448961 447951 445945 440937 435932 432928 429921 427915
      426909 422904 415897 406884 402879 398871 394865 388863
      385864 383869 383874 384879 383883 376909 373924 373931
      375941 378945 383947 388950 394955 401964 403968 403973
      406981 411984 417985 429981 433983 436983 440982 442979
      445972 448964 448961
 0.25 428243 427241 424239 422239 419239 417240 418241 421243
      424245 427244 428243
 0.25 296995 294994 293994 290994 288995 285997 283000 283001
      281003 283006 286005 288004 291003 292002 294999 296997
      296995
 0.50 503632 502628 499625 495626 492629 490634 488640 483646
      476649 471650 466655 465660 463668 460672 451683 447688
      446693 448696 456695 460695 461697 460706 456714 452721
      447726 446729 449732 453732 459730 464727 469723 475720
      482714 484710 488703 490697 489688 487682 489676 494671
      496663 498657 501644 503632
 0.50 443228 442224 439224 436225 435225 436225 438228 441228
      443228
 0.50 438959 437951 434944 431940 427936 423931 421927 420921
      420915 418909 416905 406895 399890 395890 393896 389902
      387913 385921 384926 385930 389936 397941 408953 415953
      420951 424954 428961 432966 436966 438964 438959
 1.00 464711 462714 457720 457722 458722 464716 466710 464711
 1.00 412925 411922 410918 409914 411910 408908 405908 404908
      402908 399909 397914 397915 397918 398919 399921 402924
      405927 408930 410930 411929 412925

24HR QP VT 28/00Z
 0.01 512651 504632 499630 497630 495632 488638 484639 475634
      466631 459639 455646 454653 455659 454666 448671 444676
      443681 446689 450692 450699 452703 456706 458708 457712
      451716 449722 450727 452730 454730 460726 470717 473712
      479707 490699 497693 500688 506677 510661 512651
 0.01 529155 530143 530134 523119 519104 518095 517088 515079
      515067 512053 511040 509032 506026 505017 501008 494999
      479980 473972 471954 469935 466932 464927 460920 456915
      453908 451906 451902 449886 446867 443850 441846 438842
      432833 425824 416815 413811 409802 406798 404791 399787
      393789 389789 386791 386796 386799 384803 379804 375802
      370801 361809 361822 362849 363856 363862 362868 360873
      361883 361894 362903 364912 367929 375936 375942 374948
      371957 371965 372972 373975 370978 368979 364986 364992
      367997 370999 376998 383996 388997 391998 398999 407004
      414012 419021 431036 442091 432092 432099 435104 438112
      440117 443118 446121 449125 451134 451141 447143 438149
      442158 446163 445170 441178 442182 446186 449188 453189
      458183 462177 463166 463164 467164 474165 481164 482160
      479154 478149 482146 486147 489149 494154 499156 503160
      508163 510166 515167 519167 523165 525164 527160 529155
 0.01 507238 507233 504226 502219 498214 495210 489210 483205
      476207 472210 462213 459213 456215 452214 446214 442215
      435215 431218 423225 417227 415227 413223 411218 408216
      400208 394204 390201 387197 384197 384201 388205 397212
      399213 401216 404221 404227 403229 400229 388228 385230
      383238 383243 384249 391255 401257 415261 419260 426260
      430259 435261 447265 454268 458272 464277 467281 475288
      481291 487292 491290 493287 493281 489268 487262 489253
      486246 483244 479237 476233 472233 468230 468225 471222
      476220 481220 487221 490222 492225 494231 497234 499238
      504241 507238
 0.01 511189 513184 509179 507178 504173 501172 498172 495176
      494180 494181 497182 500182 503183 505188 506188 508189
      510190 511189
 0.01 269793 264793 256795 253798 249799 245804 244809 242815
      244818 246820 249820 251818 254813 260813 264809 263805
      265802 267799 271796 269793
 0.25 491670 490670 487672 484673 482673 481673 477674 476673
      474674 471675 469677 467681 469684 472685 474685 475684
      478683 480681 483680 486679 490675 491671 491670
 0.25 502104 504097 504089 503077 498056 493042 490034 486028
      481020 476014 466004 460989 458983 457972 455958 452949
      444934 440927 437919 434903 430891 428879 428869 427858
      425850 422843 417839 412838 406843 405846 401849 396851
      392850 386849 381850 377856 375861 376868 377888 379897
      382905 389916 395929 396935 396941 393948 391957 392965
      395971 399974 408980 415985 421991 425997 428004 434017
      438023 442027 453039 457045 461053 462055 462061 460067
      459075 459081 462089 459099 458102 458108 462113 472121
      480123 487123 493121 499116 502108 502104
 0.25 458254 456248 454244 457243 458239 456236 449236 439242
      434242 430240 423236 416235 407241 402243 405247 419252
      431251 439251 443252 454257 458254
 0.25 465153 466151 465148 462147 461148 462150 464153 465153
 0.50 497086 498079 497074 495068 491054 487046 484041 477038
      473038 473044 474049 476055 480072 481078 481084 479091
      476090 474087 472081 469079 468081 466089 467101 469106
      475109 479104 481102 484101 490099 494095 497089 497086
 0.50 446974 446954 441942 435929 430918 424906 419896 414878
      412874 407872 398870 392870 388875 387881 389889 391892
      392900 396909 398913 403924 407938 407943 405948 403954
      403960 410968 413973 417976 423984 432992 436995 438994
      439991 446974
 0.50 428248 428243 427242 424241 421240 419239 416240 418244
      420246 423248 426248 428248
 1.00 427929 426926 425926 423922 422921 419919 418919 415917
      413919 413921 413922 414925 417927 417928 420929 422931
      423931 426932 427929
 1.00 415913 415909 413905 412902 411898 409895 408893 405892
      406895 406896 407899 408903 409907 409910 411914 412917
      415914 415913

$$
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