Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 010734
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
333 AM EDT FRI MAY 01 2015


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 01/1200 UTC THRU MAY 04/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...

...CENTRAL APPALACHIANS TO THE ATLANTIC COAST FROM MD TO SC...

INCREASING WESTERLY FLOW WITHIN THE NORTHERN STREAM WILL PUSH
ALONG A CLOSED LOW THAT WAS DIGGING INTO THE CENTRAL APPALACHIANS
THURSDAY EVENING. THE LOW WILL PASS THROUGH NORTH CAROLINA AND
SOUTHEAST VIRGINIA EARLY FRIDAY...PRODUCING AN ORGANIZED SWATH OF
PRECIPITATION NORTH AND EAST OF THE TRACK...WITH A SHOWERY REGIME
NEAR AND SOUTH OF THE TRACK AND TRAILING THE MID LEVEL CENTER.
LINGERING LOW LEVEL MOISTURE AND SEASONABLY STEEP LAPSE RATES
SHOULD SUPPORT LOOSELY ORGANIZED RAIN FROM SHALLOW CONVECTIVE
CELLS IN THE MOUNTAINS AND EASTERN FOOTHILLS BACK ACROSS WV/VA AND
PORTIONS OF ADJACENT STATES THIS AFTERNOON. THERE WAS LITTLE
CHANGE TO WPC QPF AFTER INCORPORATING SOME OF THE TRENDS AND
SMALLER SCALE DETAILS SEEN IN THE 00Z NAM/GFS AND THE WRF-NMM.


...GREAT BASIN / CENTRAL ROCKIES / CENTRAL PLAINS...

THUNDERSTORMS SHOULD PROVE TO BE GOVERNED MORE BY LOW LEVEL
BOUNDARIES...TERRAIN AND DIURNAL HEATING IN THE CURRENT REGIME.
BUT ONE MID LEVEL SHORTWAVE WILL HELP TO ORGANIZE LIGHT AREAL
AVERAGE PRECIPITATION AMOUNTS FROM ERN NE AND FAR NE KS INTO IA
AND POSSIBLY NRN MO. THIS WILL OCCUR AT THE EASTERN EDGE OF WHAT
LITTLE INSTABILITY IS FORECAST TO DEVELOP TODAY...BUT ACTIVITY
COULD BE SUSTAINED OVER ROUGHLY THE SAME REGION INTO THE NIGHTTIME
HOURS OWING TO THE PLAINS LOW LEVEL JET AND APPROACH OF ANOTHER
LOW AMPLITUDE SHORTWAVE. MEANWHILE...THE MODELS ARE FORECASTING
GREATER ORGANIZATION OF CONVECTION AND A POTENTIAL SMALL MCS OVER
EASTERN COLORADO. THIS SIGNAL EXISTS IN SEVERAL MODELS...INCLUDING
THE 12Z ECMWF AND SEVERAL OF THE 00Z HI-RES MODELS. IT MAKES SENSE
WITHIN THE PATTERN...WITH MODEST BUT TIMELY POST-FRONTAL UPSLOPE
BENEATH SUFFICIENTLY ENERGETIC WESTERLY FLOW. GIVEN THE MODEL
AGREEMENT WE BEGAN TO SIGNAL A BROADER AREA OF AT LEAST 0.25 INCH
AREAL AVERAGE PRECIPITATION IN SE CO / FAR NE NM.

FARTHER WEST...CONVECTION WILL AGAIN BE LOCATED NEAR AND DOWNWIND
OF THE HIGHEST TERRAIN ANYWHERE FROM THE SIERRAS TO THE WASATCH
AND OVER ERN AZ / WRN NM. THE ACTIVITY IN AZ/NM HAD ACTED NEARLY
MONSOONAL ON THURSDAY...ALTHOUGH OBVIOUSLY OF MUCH LESSER MOISTURE
CONTENT...WITH SHALLOW THUNDERSTORMS NEAR THE 700 MB RIDGE
CENTER...DROPPING PRESUMABLY 0.10 INCH AMOUNTS IF MESONET
OBSERVATIONS ARE TO BE BELIEVED. THE MODELS SHOW A STRONGER QPF
SIGNAL ON FRIDAY...AND WE RELIED MAINLY ON THE NAM FOR COVERAGE.


...NORTHWEST U.S...

MOST PRECIPITATION IN THIS REGION WILL REMAIN NORTH OF THE
CANADIAN BORDER...WITH THE COLUMBIA RIVER BASIN IN BRITISH
COLUMBIA CATCHING A SMALL AREA OF 0.10 TO 0.25 INCH PRECIPITATION.
WE MAY INTRODUCE A SMALL AREA OF MEASURABLE PRECIPITATION  FROM
CENTRAL ID INTO WESTERN MT...BUT MAY SCALE BACK THE COVERAGE IN
OUR FINAL ISSUANCE LATER THIS MORNING. THE PATTERN WOULD APPEAR
SUPPORTIVE OF HIGH BASED CONVECTION INITIATING SOME OF THE TALLEST
TERRAIN...IN A REGION WHERE THE 600-500 MB LAYER IS FORECAST TO
MOISTEN AHEAD OF A LOW AMPLITUDE SHORTWAVE TROUGH. THE DRY LOW
LEVEL AIR...HOWEVER...MAY BE TOO DRY TO OVERCOME...WITH LITTLE OR
NO PRECIPITATION SIGNAL IN THE MODELS.

DAYS 2/3...


...GREAT BASIN/ROCKIES INTO PARTS OF THE MIDDLE MISSISSIPPI
VALLEY...

SHORT WAVE ENERGY OVER THE SOUTHERN/CENTRAL ROCKIES WILL SLOWLY
MOVE EASTWARD TO THE CENTRAL PLAINS BY MONDAY MORNING.  IN
ADDITION ... ANOTHER SHORT WAVE OVER THE MIDDLE MISSISSIPPI VALLEY
WILL MOVE SOUTHEASTWARD TO THE SOUTHERN APPALACHIANS BY MONDAY.
DIURNAL HEATING AND MODEST MOISTURE WILL AID IN PRODUCING QPF
MAXIMUM OF NEAR 0.20 INCHES OVER THE CENTRAL ROCKIES ON SATURDAY
INTO SUNDAY MORNING AND A HIGH QPF MAXIMUM OF NEAR 0.30 INCHES ON
SUNDAY INTO MONDAY.  MAXIMUM QPF OVER THE MIDDLE MISSISSIPPI
VALLEY WILL BE NEAR 0.35 INCHES ON SATURDAY INTO SUNDAY MORNING.
THE MODELS ARE IN FAIR AGREEMENT WITH THE FEATURES DURING THE 00Z
MODEL CYCLE.  WPC USED A BLEND OF THE ECMWF AND THE
IN-HOUSE-PSEUDO-BIAS CORRECTED AS A STARTING POINT FOR THE MANUAL
PRODUCTS.


...NORTHERN HIGH PLAINS TO THE UPPER MISSISSIPPI VALLEY/GREAT
LAKES TO THE CENTRAL PLAINS...

A BAROCLINIC ZONE EXTENDING FROM THE NORTHERN PLAINS TO THE
NORTHERN INTERMOUNTAIN REGION WILL MOVE EASTWARD TO THE GREAT
LAKES SOUTHWESTWARD TO THE SOUTHERN HIGH PLAINS BY MONDAY MORNING.
 THE BOUNDARY WILL INTERSECT MOISTURE OVER THE PLAIN WITH
PRECIPITABLE WATER VALUES 0.50 TO 0.75 INCHES ON SATURDAY THAT
WILL INCREASE TO 1.00 TO 1.25 INCHES WHILE POOLING ALONG THE FRONT
BY SUNDAY EVENING INTO MONDAY MORNING.  THE SYSTEM WILL PRODUCE
LIGHT QPF AMOUNTS OVER THE NORTHERN PLAIN INTO THE UPPER
MISSISSIPPI VALLEY ON SATURDAY INTO SUNDAY MORNING.  ON SUNDAY
INTO MONDAY MORNING ... THE MAXIMUM QPF AMOUNTS WILL INCREASE TO
NEAR 1.00 INCHES OVER PARTS OF THE MIDDLE MISSISSIPPI VALLEY INTO
THE GREAT LAKES.  THE 00Z MODELS WERE IN GOOD AGREEMENT WITH THE
SYSTEMS.  WPC USED A BLEND OF THE ECMWF AND THE
IN-HOUSE-PSEUDO-BIAS CORRECTED AS A STARTING POINT FOR THE MANUAL
PRODUCTS.


BURKE/ZIEGENFELDER


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

24HR QP VT 02/12Z
 0.01 536207 537199 537189 536171 532149 530131 531124 533117
      533110 530104 526099 523102 518116 513129 512138 510143
      508143 506146 506151 504155 502155 500157 499161 499170
      502184 515206 520217 510214 510220 512226 515227 517227
      522224 527223 529223 531221 532216 534214 536207
 0.01 518268 520255 518246 514238 510230 506223 500216 497216
      495218 495224 495228 498237 501247 504255 502256 499255
      496252 493245 488244 487249 489257 493266 501281 504284
      507285 513279 518268
 0.01 480236 480234 480232 478232 477233 476234 475235 475237
      475238 477239 478238 479237 480236
 0.01 474151 475141 472138 471133 471124 474116 475104 476091
      473085 471087 469090 465097 463102 462106 460115 459128
      457147 451166 451176 453179 456179 459178 460174 467170
      470163 472158 473153 474151
 0.01 469935 469930 467927 465925 457920 453917 449913 443913
      439916 435918 431919 426923 424928 421931 417931 416924
      414916 413910 410903 406903 399908 396913 394918 394934
      394953 392960 392969 392979 394984 396989 397998 393010
      393021 392024 388024 384021 381008 378003 374005 368016
      363029 357037 349044 342049 332053 330056 332058 334059
      337057 341057 345060 356065 360067 366066 370067 371069
      373075 374080 375081 381081 386080 391080 394081 396083
      394088 390102 382110 383115 388114 396116 397118 399120
      397122 397126 397133 392145 391159 383165 381174 378178
      374181 369181 363181 365186 369190 376192 385200 391202
      395201 395199 393196 389191 386186 384182 384178 385174
      389171 392170 395173 402174 405172 412163 416160 419154
      419147 414144 411144 408141 406136 405131 406127 406119
      409114 411107 412097 409092 405093 403094 402091 402086
      404081 406078 410075 414069 415064 419054 417047 413043
      409041 404042 397042 395039 396036 403035 408032 409026
      407020 405015 403009 404000 410001 412996 412990 412986
      414982 420981 428976 435971 440966 444962 452955 461945
      466940 469935
 0.01 427762 426757 423760 421764 417764 412767 408770 402776
      396779 391780 389778 388776 386772 384765 383757 384750
      385745 387740 388735 389724 387706 383694 379686 372679
      368676 363674 358675 355678 350685 345694 341704 338714
      328757 327766 326772 326777 329783 329787 331793 335795
      351802 360808 361814 360819 362823 367823 372822 376819
      393808 400802 407795 415787 419784 422782 427762
 0.01 368093 368089 367086 363083 357071 351070 346072 336076
      331078 329081 330084 336094 342105 346108 347105 347101
      345096 344087 348086 351086 355087 358089 362092 368093
 0.25 519183 519180 520178 518175 516177 516179 515182 516184
      516185 517185 518185 519184 519183
 0.25 379718 378708 373699 370696 366694 361695 359698 356707
      354717 348734 347738 347744 353752 358758 357763 356770
      357774 359778 363787 367788 370785 374776 376765 375753
      378744 379739 379732 379718
 0.25 387047 387042 386038 382031 375033 375030 377027 376025
      373028 371030 370034 366039 362045 362048 367049 374048
      378046 381047 384048 387047
 0.25 382802 381800 378798 375798 373799 370801 369803 367805
      367809 369811 371811 375810 376809 378807 381805 382802
 0.50 375717 375711 372706 370704 364705 361707 360711 357721
      355730 353740 353744 356748 363753 367753 371750 373747
      375743 376733 375719 375717
 0.50 372772 372770 372768 371765 370765 369765 368766 367768
      367771 367773 367775 367777 368778 370778 370777 371774
      372772
 1.00 371740 371734 371727 370720 366718 363720 361724 360729
      359734 359741 362743 366745 370743 371740
 1.50 369734 368733 368732 366730 364731 364733 364735 364737
      365739 366739 367738 369736 369734

24HR QP VT 03/12Z
 0.01 533214 533209 532206 530199 529192 529186 526179 521175
      516166 514158 515154 517157 520161 522160 522155 521152
      517147 514144 508141 489130 487131 486136 490142 494151
      497157 500152 501149 504149 509150 510154 510159 508170
      505171 502171 501176 503178 506182 512184 516187 522198
      525211 530217 533214
 0.01 514250 515244 514239 510230 507219 504209 499202 495199
      493202 492209 493215 496226 500234 503242 508251 510256
      513253 514250
 0.01 523083 524069 524060 523033 521025 518025 517028 515039
      514051 512061 509060 506058 502059 497059 493063 490073
      489083 489090 491094 492096 494095 497093 496086 497080
      499075 504072 508072 510074 512085 514088 517089 521086
      523083
 0.01 520910 520899 518892 513892 509898 507898 505896 501893
      499896 499902 498906 494908 490910 487914 489921 489926
      487929 482935 480942 479946 476946 474947 474953 477959
      479961 477964 474969 470971 470965 471954 472944 474937
      481927 483919 484912 482909 479913 474924 467935 461947
      456952 453953 451951 446946 442942 436942 435945 438957
      441962 445966 451967 455974 456976 455981 452983 449981
      446982 440980 435975 432972 431968 428961 425956 421958
      419950 418941 419938 419935 416930 417927 420926 423923
      424919 422921 419921 416923 412922 413903 416897 422894
      424891 423888 418884 414881 408882 403884 398881 395876
      391874 386872 382875 380877 380882 381891 385895 389901
      391908 389915 388919 384920 382922 377922 371922 367926
      364931 370932 375934 373939 371945 366949 361950 361955
      362957 370956 373952 377947 380945 383948 385951 383953
      379954 377958 375962 373967 375978 378983 380981 382977
      384976 389981 396991 401991 404984 407977 408965 410958
      412959 413963 418973 416976 417981 420986 423990 424995
      427991 434990 441990 443988 445986 446988 449991 456991
      459989 460995 460002 458006 459013 457022 455030 455037
      454052 458052 460050 461045 462036 463025 463008 466002
      470997 479985 482982 487976 501959 504955 507949 510943
      512937 517923 520910
 0.01 501865 501859 500857 495860 492865 490871 487876 485883
      482889 484893 487893 490889 493883 496877 499870 501865
 0.01 477037 478029 478022 474021 472024 470029 470036 468041
      468048 470053 471053 474049 476044 477037 477037
 0.01 469115 471095 471086 470082 470078 470075 468077 466078
      466082 464087 464093 462099 460099 460096 457093 453095
      451097 450105 450109 448112 449114 452115 455118 454122
      457128 455147 458145 462139 466127 467118 469115
 0.01 454720 433720 426722 422723 419726 416732 414741 401750
      389757 374764 370765 368768 364773 359779 356781 353782
      345785 344787 346789 352793 359796 365796 369795 371793
      385784 389784 390785 393782 394780 393774 394769 398767
      401765 407759 412756 416757 419757 422749 422739 424732
      426727 428726 430728 432740 434742 438742 444740 445732
      448725 452723 454720
 0.01 454086 453083 452080 451077 450075 448072 445071 443069
      440069 439072 441073 443075 444077 447080 449081 451083
      452086 454086
 0.01 428113 428107 427103 423100 418099 417094 414091 407096
      404100 403104 402112 403114 405114 408112 410108 413104
      416104 416109 414113 410115 410117 414116 419116 426115
      428113
 0.01 435928 435923 435921 433916 433914 429912 429916 429921
      428923 428928 429930 431931 433930 435928
 0.01 423145 424139 420137 414141 411141 406142 403143 400140
      390146 392151 395152 398151 397155 385159 384168 382175
      382181 384185 387184 389179 391175 395175 399169 400162
      402158 405155 409155 411153 409150 411147 416147 420154
      423145 423145
 0.01 424074 424067 421062 425058 425053 425051 420053 415048
      411044 405042 396040 376039 373041 369045 361049 359053
      361056 365050 368048 370050 372053 370057 368059 367066
      370069 372075 377080 380085 384088 391085 395083 400082
      408079 412077 418076 422076 424074
 0.01 423065 421062 419062 417062 416064 417066 419066 421066
      423065
 0.01 410136 410131 409129 409126 408121 406121 402120 401118
      397117 397120 399122 402121 404123 405128 404132 404135
      408136 410136
 0.01 390199 388195 385192 382189 378186 375183 370182 366182
      366185 368186 371189 374191 379194 381197 385200 388201
      390199
 0.01 358667 355670 353677 354688 355695 355703 352711 346719
      343723 340724 336728 331730 329735 329740 334748 345746
      348743 353742 362736 368730 374723 379714 383704 385694
      386689 385682 386679 385671 384664 381660 378659 372660
      367661 363664 362664
 0.01 388120 389116 389114 385113 383113 380115 379117 377121
      377123 375125 375127 376130 377128 379126 381122 383120
      386122 388120
 0.01 394009 392006 387006 384008 381012 377015 377019 379024
      382025 386023 388020 390016 392011 394009
 0.01 367135 366130 364128 361125 356122 354117 352119 351124
      353127 357130 357136 361137 365137 367135
 0.01 351079 351073 348070 344069 340071 338073 339078 341082
      340089 338093 340096 344094 345090 347085 349081 351079
 0.01 269800 266797 262795 256790 248792 243792 242797 240805
      240811 242812 243823 244826 247826 251824 254821 254816
      252811 254808 258806 260803 269800
 0.25 428980 428978 428977 426975 424976 424978 424980 426982
      426983 426982 428981 428980
 0.25 402961 402956 402954 401949 402947 402943 401940 398939
      395938 393938 395941 396945 397947 398952 398956 398959
      400963 402961

24HR QP VT 04/12Z
 0.01 517996 517980 517964 517944 516929 513904 508883 510878
      510868 509852 507837 504824 501815 497806 495799 493792
      489785 483778 479775 476775 469783 464792 457800 452807
      447813 444821 441826 438830 431838 425847 421855 417863
      415868 412870 398878 393886 392891 392898 392902 394904
      398907 398914 397919 396925 397930 400940 401945 398949
      398954 395954 388949 384949 381951 376952 372954 370958
      369962 368965 372967 378968 382970 389993 385994 379994
      372998 367000 363003 356011 350015 342019 338016 334017
      330020 326020 321018 318020 316023 313025 310025 305023
      307019 308012 308006 305996 300989 296986 293985 290987
      290991 288008 293011 296015 303022 304024 301024 298023
      294021 290019 280021 274021 271019 268017 267015 264011
      258005 253999 245994 237991 233993 233997 236000 240002
      246006 249009 251013 253016 257019 265025 269028 275029
      280030 282032 286039 290041 295040 301045 315046 319037
      321033 323032 324035 328036 331033 334030 339028 354023
      357027 357034 356047 357063 358067 364069 371073 373077
      370079 371082 376085 377089 377095 380096 383095 384093
      391085 394082 396084 393096 389104 384109 368117 366122
      368125 368131 365134 364137 367137 371133 374133 376135
      380133 382131 389125 392122 395121 396126 394130 388151
      386158 384162 382164 382169 384173 384179 381182 375181
      370181 365181 364185 367188 373190 384192 389192 389187
      389180 393176 395168 397165 402159 400157 399158 397156
      399153 401154 407155 410153 411146 412144 414146 415153
      415156 419154 422150 423144 425129 426122 428118 430114
      433112 435110 437112 439117 441121 442125 440127 438132
      437139 436146 436152 437156 439156 440151 439148 439144
      444140 448141 451137 454133 456126 462123 457117 456115
      456112 460109 462106 464101 470104 472099 473091 470088
      467088 464091 460091 456086 458079 457068 456061 458057
      460052 460045
 0.01 460045 459037 457033 456024 456015 458008 459999 460992
      462986 464984 464979 467973 469967 472963 475963 477965
      479964 479961 478953 478944 478934 480928 483914 488903
      490898 493894 496891 498894 502898 504900 505904 506911
      510944 510964 511980 510988 509997 509007 513010 517996
 0.01 493856 492854 490854 490853 488852 487852 485853 484854
      485856 487858 488859 489861 490860 492858 493856
 0.01 485856 483855 480857 477858 473855 471860 469863 466868
      467876 468882 471878 473875 478875 479874 481869 482863
      484858 485856
 0.01 468694 464689 465685 463683 461675 457667 455665 453666
      450672 447687 440699 435704 430709 426713 427717 429719
      437717 443714 446715 447714 449711 452710 455710 456708
      455705 455700 456697 458696 463699 468694
 0.01 456991 457982 455976 451973 448969 446968 443969 440971
      435981 428990 426994 423999 420003 417006 412004 406004
      403003 401006 398009 396015 395021 389029 386034 386038
      389040 395040 398044 401045 403045 408042 410038 412033
      415027 418023 425017 430017 436016 443009 446011 449016
      451018 453017 454010 455993 456991
 0.01 433083 432077 430073 426072 422074 420079 418081 417088
      416095 418098 422095 422088 424084 427079 429080 432084
      433083
 0.01 418133 419126 418119 413118 411119 410122 409127 404126
      400129 401134 403136 406135 408135 411140 414141 416139
      417135 418133
 0.01 347094 346092 344092 342093 338093 336095 334095 332097
      334099 338098 342098 343096 345096 347094
 0.01 306901 306895 304890 300890 296889 293889 287890 284889
      283894 284898 288900 293900 297902 302902 306901
 0.01 279985 277980 274978 270976 266974 264974 259975 255976
      257980 261982 264983 268981 272983 275985 279985
 0.01 251810 250804 248805 248802 249800 249796 246796 244798
      242803 241808 245808 245810 243815 243819 245822 246823
      248822 250816 250812 251810
 0.25 472843 469832 467829 463827 458819 454817 451821 451826
      453830 457837 456842 453845 451848 450855 453859 457859
      460859 463855 468848 472843
 0.25 471932 472926 470921 469912 467908 464906 458904 455896
      455890 457888 463888 464883 461881 457876 453876 446874
      438875 433878 430884 429887 427886 425883 424880 424874
      423872 420880 419889 419895 418898 415908 416918 416921
      414920 410921 409925 409931 409952 404956 404962 407965
      412959 415962 417964 420963 423961 426961 426965 430967
      433961 435958 438956 441956 444957 447959 452958 457954
      462949 466943 471932
 0.25 456937 456935 455934 454934 452934 450934 449933 447933
      445934 443934 443935 442937 441937 442938 443939 445939
      447939 449940 450940 452941 454941 455940 455939 456937
 0.25 446048 446046 446045 446043 446041 445039 445037 444036
      443035 442034 440034 438035 437038 437040 437043 438044
      439045 441045 442045 443046 444048 446048 446048
 0.25 439904 438902 438901 436901 436902 435904 436905 438905
      439904
 0.25 435861 434860 433859 431859 430862 430864 431865 433864
      434864 434862 435861
 0.25 430954 430952 428950 426951 426952 426954 425956 425959
      426961 427959 428958 430957 430956 430954
 0.25 420060 420057 420056 419055 418053 416054 414054 413057
      414059 416060 418060 419060 420060
 0.25 421034 422032 422029 421029 420029 419030 418031 417034
      416036 416038 415039 414040 415043 415044 417044 417043
      418041 419040 419039 420036 421035 421034
 0.25 409982 407980 403982 400984 396980 393976 390981 392986
      396993 393000 394002 397003 401000 403995 403992 405991
      408984 409982
 0.25 392968 391965 390963 389963 387961 386961 385963 385965
      386966 386968 387969 389970 391970 392968
 0.50 468841 468838 467838 467841 468842 468841
 0.50 461851 461849 460847 458847 456848 455850 455852 456854
      458854 460853 461851
 0.50 454913 450901 451892 451888 449884 448881 446878 440877
      436881 434890 438896 443900 444902 444905 443908 440914
      436920 433928 432936 432941 433947 434950 436948 436937
      438930 443927 452917 454913
 0.50 451952 450949 449948 447948 445948 444949 444952 445953
      446954 447955 449954 450952 451952
 0.50 431914 431907 429904 425905 420907 419910 419914 419921
      418926 417933 416938 415942 416949 416954 419957 424949
      428940 428928 430916 431914

$$





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