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Quantitative Precipitation Forecast
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Issued by NWS
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000 FXUS04 KWBC 192044 QPFPFD QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS WEATHER PREDICTION CENTER COLLEGE PARK MD 443 PM EDT WED JUN 19 2013 PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID JUN 20/0000 UTC THRU JUN 23/0000 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY 1... ...CENTRAL/EASTERN GULF COAST AND SE ATLC COASTAL STATES... A FRONTAL BAND IS EXPECTED TO REMAIN NEARLY STATIONARY ACROSS THIS REGION AND IS EXPECTED TO BE THE FOCUS FOR WIDESPREAD SHWRS. MOST WIDESPREAD ACTVTY IS EXPECTED ALONG THE SE ATLC COAST WHERE COOL CYCLONIC FLOW ALOFT ASOCTD WITH A WEAK SHRTWV WILL TRIGGER SHWRS AIDED BY INITIALLY FVBL RT ENTRANCE REGION JET DYNAMICS. SYNOPTIC SCALE FORCING IS LESS PRONOUNCED ALONG THE ERN AND CNTRL GULF COASTS BUT THE AVBLTY OF HI PWS SEEMS TO ASSURE WIDESPREAD BUT LESS ORGANIZED SHWRS THERE. ...PAC NW TO THE N CNTRL U.S... MODELS ARE IN GOOD AGREEMENT IN SHOWING SHRTWV ENERGY/HGT FALLS ROTATING NORTH/NORTHEASTWARD FROM THE PAC NW CLOSED UPPER LO WHICH SHOULD BE AVBL TO FIRE WIDESPREAD SHWRS FM THE NRN ROCKIES EWD INTO THE N CNTRL U.S. THRU THE FCST PD. MODEL QPFS ARE IN DECENT AGREEMENT ON THE OVERALL PLACEMENT BUT SOME SGFNT DIFFERENCES EXIST IN REGARDS TO WHERE TO MAXIMIZE PCPN..PARTICULARLY OVR THE NRN PLAINS. TODAYS GEM REGIONAL AND THE 19/00Z ECMWF HAD PROBABLY HAD THE BEST ACCORD IN REGARD TO SPECIFICS SO LEANED IN THEIR DIRECTION FOR THE MOMENT. GIVEN THE VERY DIFFLUENT UPPER FLOW EXPECTED WITH THE HGT FALLS..AND AVERAGE PW VALUES..1-2+ STANDARD DEVIATIONS ABOVE THE MEAN..WIDESPREAD HVY PCPN TOTALS ARE LIKELY. MEANWHILE...CD CYCLONIC FLOW ALOFT AND CONTG LLVL WLY UPSLOPE FLOW FM THE PAC NW TO THE MTNS OF NRN ID SHOULD SUPPORT MDT TO LCLY HVY PCPN AMTS OVR FAVORED TERRAIN THERE. ...UPPER MS VLY SSWWD TO THE LWR MO RIV VLY... BROAD SLY LLVL FLOW WILL PERSIST THRU THE CNTRL U.S. AND WILL SUPPORT AREAS OF SHWRS IN ASOCTN WITH WEAK PIECES OF ENERGY MOVG THRU THE CNTRL U.S. UPPER RIDGE PSN. MODEL QPFS UNFORTUNATELY ARE ALL OVER THE PLACE IN REGARDS TO PLACEMENT THOUGH IN GNRL THEY FAVOR MORE ORGANIZED SHWRS INVOF A WEAK FRONT FM NERN MN EWD ACROSS LK SUPERIOR..AND ALSO OVR THE UPPER MIDWEST WHERE WEAK ISENTROPIC LIFT WILL BE AIDED UNDER BROADLY DIFFLUENT FLOW ALOFT. DAYS 2/3... ...PACIFIC NORTHWEST/NORTHERN ROCKIES/NORTHERN PLAINS/NORTHERN MISSISSIPPI VALLEY/GREAT LAKES... AN UPPER CLOSED LOW WITH SEVERAL SHORTWAVE SPOKES WILL CONTINUE TO SPIN SLOWLY EASTWARD ON DAYS 2/3 WITH THE MAIN AXIS OF THE LOW BECOMING ELONGATED ON A SOUTH TO NORTH NORTHEAST AXIS BY EARLY ON SATURDAY/DAY 3. BY THE END OF DAY 3...SATURDAY EVENING...THE UPPER LOW LIFTS NORTHEASTWARD TOWARD WYOMING/EASTERN MONTANA...POSSIBLY BRINGING A PERIOD OF HEAVIER RAIN FOR THAT AREA LATER IN THE FORECAST FOR DAY 3. THE MAJORITY OF THE 12Z MODELS DO LIFT THIS SYSTEM NORTHEASTWARD ON DAY 3...WITH THE NAM TRENDING SLIGHTLY FASTER THAN THE OTHER MODELS AND WITH THE 12Z CANADIAN REMAINING THE SLOWEST. THE PRECIPITATION PATTERNS ON DAYS 2 AND 3 VARY GREATLY FROM RUN TO RUN WITH THE NAM SOMEWHAT SIMILAR TO THE GFS BUT QUITE DIFFERENT FROM THE OTHER OPERATIONAL MODELS. THE ECMWF/GEFS AND SREF ENSEMBLE MEANS WERE USED AS A FIRST GUESS AND THEN THE OPERATIONAL MODELS WERE MATCHED TO SEE WHERE SOME CONTINUITY WITH THE MEANS AND WITH EACH OTHER COULD BE OBSERVED...WITH LESS ATTENTION GIVEN TO THE 12Z CANADIAN AND 12Z NAM...ALTHOUGH THE 12Z NAM BORE SOME SIMILARITIES TO THE OVERNIGHT ECMWF IN PLACES. AS IS OFTEN THE CASE THIS TIME OF THE YEAR...THERE CAN BE SIMILAR OVERALL STRUCTURE IN THE 500 MB HEIGHT FIELDS FROM MODEL TO MODEL...AS WELL AS GENERAL AGREEMENT WITH THE SURFACE PRESSURE PATTERN AS WELL...BUT THE PRECIPITATION FIELDS LOOK QUITE DIFFERENT. THIS IS THE CASE HERE. IN GENERAL...THE LATEST VERSIONS OF THE ECMWF/GEFS ENSEMBLE MEANS BOTH SHOW THE AREA OF HEAVIEST PRECIPITATION FROM EASTERN NORTH DAKOTA ACROSS MUCH OF MINNESOTA INTO NORTHERN WISCONSIN. ON DAY 2...THE GFS BASED MODELS SHOW THE HEAVIEST PRECIPITATION ACROSS NORTHERN WISCONSIN WITH THE LATEST MEAN SHOWING NEARLY 1.7 INCHES WHILE THE 12Z GFS SHOWS 1.25 INCHES AND OUR WPC BIAS CORRECTED GEFS MEAN AT A WHOPPING 3 INCHES. WITH THE 12Z ECMWF/00Z ECMWF ENSEMBLE MEANS SHOWING LOWER TOTALS WITH MAXIMUM PRECIPITATION FARTHER WEST OVER SOUTHERN MINNESOTA WHILE MAXIMUM RAINFALL ON THE 12Z GFS IS SHOWN OVER THE NORTH DAKOTA AND NORTHERN MINNESOTA BORDER WITH AROUND 2 INCHES. AN AREAL AVERAGE TOOK ACCOUNT OF THESE VALUES AND THE WPC FORECAST SHOWS TWO AREAS OF GREATER THAN ONE INCH FORECAST ON DAY 2...WITH A MAXIMUM NEAR 1.5 INCHES NEAR THE NORTH DAKOTA/MINNESOTA BORDER AND THE OTHER MAXIMA OF ONE INCH PLUS OVER NORTHERN WISCONSIN. WHILE THE 1.5 INCH TOTAL NEARS THE 3 HOURLY FLASH FLOOD GUIDANCE IN PLACES...HAVE OPTED TO KEEP THE REGION LESS THAN GUIDANCE VALUES FOR NOW ALTHOUGH VALUES LOCALLY COULD EXCEED GUIDANCE ACROSS MINNESOTA INTO NORTHERN WISCONSIN. THE HEAVY RAINS ACROSS NORTH DAKOTA TO WISCONSIN ON DAY 2 APPEAR TO BE DRIVEN BY A STRONG SOUTHERLY LOW LEVEL JET OVER THE CENTRAL PLAINS DIRECTED TOWARD A CONVERGENT BOUNDARY THAT SETS UP FROM NORTH DAKOTA TOWARD NORTHERN WISCONSIN. THE AREA OF HEAVY RAINFALL IS LOCATED JUST UPWIND FROM THE UPPER RIDGE AXIS IN AN AREA OF UPPER LEVEL DIFFLUENCE DOWNWIND OF A 70 KT JET STREAK MOVING TOWARD WESTERN NORTH DAKOTA. BY DAY 3...WEAK SHORTWAVES FUELED BY WITHIN THE EXIT REGION OF THE UPPER JET ON DAY 2 CONTINUE EASTWARD INTO THE UPPER MIDWEST WHILE THE CONVERGENT FRONTAL BOUNDARY SHIFTS EASTWARD FROM THE NORTHERN MISSISSIPPI VALLEY ACROSS MICHIGAN. THE WPC FORECAST SHOWS A FAIRLY WIDESPREAD AREA OF RAINFALL EXCEEDING .5 INCHES ON DAY 3 FROM SOUTHERN MINNESOTA ACROSS NORTHERN IOWA AND ILLINOIS INTO WISCONSIN AND ACROSS MUCH OF MICHIGAN WITH MAXIMUM AMOUNTS OF AROUND AN INCH ACROSS WISCONSIN AND LAKE MICHIGAN. THESE VALUES REMAIN SHORT OF FLASH FLOOD GUIDANCE VALUES SO NO EXCESSIVE RAINFALL FORECAST IS ISSUED. LOCAL FLASH FLOODING IS OF COURSE A POSSIBILITY SINCE LOCALIZED RAINFALL AMOUNTS WELL IN EXCESS OF AN INCH IS LIKELY AT SOME LOCATIONS IN THIS SETTING. FARTHER WEST...THE NORTHEASTWARD LIFTING OF THE PRIMARY SHORTWAVE TROUGH OVER MONTANA AND WYOMING APPEARS TO LEAD TO INCREASING RAINFALL AMOUNTS OF .5 TO 1 INCH ACROSS EASTERN MONTANA INTO WESTERN NORTH DAKOTA. ONE INCH RAINFALL APPROACHES AND EXCEEDS SOME FLASH FLOOD GUIDANCE VALUES ACROSS PORTIONS OF EASTERN MONTANA PROMPTING SLIGHT CHANCE FOR EXCESSIVE RAINFALL OVER EASTERN MONTANA ON DAY 3. ...SOUTHEAST/FL/NORTHERN GULF COAST... AS A POSITIVELY TILTED TROUGH CROSSES THE EASTERN UNITED STATES...A COLD FRONT WILL BECOME STATIONARY ACROSS THE SOUTHEAST UNITED STATES OVER THE NEXT SEVERAL DAYS. WITH THE NORTHERN PORTION OF THE FRONT MOVING EASTWARD FASTER THAN THE SOUTHERN BRANCH...HEIGHTS WILL START TO RISE OVER MUCH OF THE EASTERN UNITED STATES BUT A PORTION OF THE TROUGH WILL REMAIN STATIONARY OVER THE SOUTHEAST US. THE COMBINATION OF THE WEAKENING FRONTAL BOUNDARY AND THE RELATIVELY WEAK UPPER LOW THAT RESULTS WILL BECOME THE FOCUS FOR QPF ACROSS PORTIONS OF THE SOUTHEAST STATES ON DAYS 2 INTO 3. THERE ARE SOME SLIGHT DIFFERENCES IN THE POSITION OF THE FRONT OFF THE SOUTHEAST COAST ON DAYS 2 INTO DAY...WHILE THE FRONT BEGINS TO DISSIPATE LATER ON SATURDAY AS THE LARGE ATLANTIC SURFACE ANTICYCLONE BEGINS TO DOMINATE THE WEATHER ACROSS MUCH OF THE EASTERN UNITED STATES. THE ENSEMBLE MEANS AND 12Z RUNS WERE USED AS A GUIDE FOR THE QPF FORECAST. WHILE THERE WILL BE AN INCREASE IN DIURNALLY FORCED SHOWERS AND THUNDERSHOWERS SOUTH OF THE BOUNDARY ACROSS FLORIDA ON BOTH DAYS 2 AND 3...THE BOUNDARY SHOULD HELP FOCUS CONVECTIVE DEVELOPMENT MUCH OF THE DAY ACROSS NORTHERN FLORIDA INTO SOUTHERN GEORGIA AND THEN POSSIBLY SPREAD NORTHEASTWARD ON DAY 3 TOWARD THE NORTH CAROLINA COAST. MAXIMUM AREAL AVERAGED AMOUNTS OF .5 TO 1 INCH IS DEPICTED ACROSS NORTHERN FLORIDA AND SOUTHERN GEORGIA ON DAY 2...WHILE THOSE AMOUNTS ARE EXTENDED NORTHWARD ON DAY 3 INTO EASTERN NORTH CAROLINA. WHILE VERY HEAVY RAINS ARE LIKELY IN ISOLATED INDIVIDUAL STORMS...IT IS NOT LIKELY THAT WIDESPREAD FLASH FLOODING WILL OCCUR WITH THIS SYSTEM AS GUIDANCE VALUES FOR 3 HOURS REMAIN FROM AT LEAST 3 TO GREATER THAN 5 INCHES FROM FLORIDA TO EASTERN NORTH CAROLINA. SULLIVAN/KOCIN GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV 24HR QP VT 21/00Z 0.01 546183 547161 548150 547142 546114 544106 544094 542087 541074 539067 538053 536044 535038 533033 531019 529016 528010 520981 513963 512955 509949 509944 503896 500851 498841 496831 494822 492816 484801 482798 479799 476802 475805 462832 459840 458843 458849 456866 448874 444879 441884 435898 430910 423921 419926 417930 414932 410934 406933 399931 390923 384924 381929 380935 377940 373945 370946 369948 367950 366955 364960 362967 361969 361973 365976 371975 374972 378972 384973 394979 397979 399982 397988 400990 407990 420987 434983 437983 439985 438989 436992 433996 430004 429009 428012 429014 431017 436018 452017 462021 466023 467025 468030 470039 471042 471048 467063 464080 463091 462095 459099 457102 458106 459110 460115 457117 453117 452118 454122 451129 447132 438137 434143 433148 434156 437161 442166 445173 444178 441186 443191 451194 455193 456191 460186 465183 469182 474194 475197 475200 470205 460211 455213 448214 444216 439213 431212 429222 428227 430230 430235 428236 423239 420243 419250 422252 426251 430252 435250 446254 457250 463250 467250 472251 483263 486270 490276 495282 497285 500287 505289 509290 514286 0.01 456043 453035 449030 447027 443026 440023 438023 429024 426024 423028 420029 418033 415041 415049 421049 427045 435044 444044 453044 456043 0.01 387790 385783 379785 377790 373795 365804 364807 361809 357815 351823 346834 345846 345854 344860 345868 345873 349891 352894 355899 363905 367907 372906 371898 370895 367892 364876 362867 363861 362853 363846 362843 364839 366834 371823 377811 383802 387790 0.01 354734 353730 351729 349728 345729 340731 336736 331740 327746 321761 315771 307782 306785 303787 296792 287795 279797 256796 252797 251800 248803 248805 249809 251811 252815 252818 251823 253830 257834 263836 269835 275836 282837 285838 288843 289872 288880 287882 287887 286894 287899 286905 287918 285933 281944 279947 279952 281963 286963 290961 298958 304955 309951 313945 314942 318941 329938 331934 330930 326924 323919 323915 320895 321878 337824 339817 339811 339807 340804 343798 349784 352769 354760 354751 355742 354734 0.01 372025 372022 370021 362020 362008 357005 352006 348012 345013 342017 339020 334022 320028 315029 309032 304035 301040 298044 297053 291062 288068 285072 285078 288081 291082 295085 300084 307082 313079 321072 324066 330063 334059 336058 336055 334053 335049 339048 343048 350046 360038 363036 367032 372025 0.25 530239 530212 536183 537170 536153 535139 533121 529096 523071 520058 517046 509021 502003 497992 494980 488957 484945 484940 487934 489924 490914 490901 490886 489878 486870 483860 481847 480838 478838 474846 471856 469865 467877 467888 466900 466908 468913 469919 467923 463970 459981 455990 453994 454999 457001 463003 466004 469007 472018 474030 475037 476044 476052 474059 472071 469084 468093 468102 469108 473110 480107 485107 487111 485119 483122 478124 475124 470127 469132 466136 462140 457143 453148 446152 444154 444158 450165 455164 458162 461162 464164 466167 471171 474175 476181 479186 483192 483198 480204 473209 468216 469221 474223 486226 491229 494234 499242 502246 503251 505262 505268 509273 514275 518273 0.25 459925 457915 455909 450906 446908 440922 435932 432937 428942 424947 420954 421959 424964 427969 434969 438967 442962 449950 455939 458932 459925 0.25 346750 346747 343745 339747 333754 322771 311785 306793 301801 297808 295812 293814 290814 287813 282815 285817 289816 291815 294816 296818 300824 301829 303854 302872 301883 298892 296899 296904 297910 302919 303922 305923 308919 310910 309897 308887 308880 309875 308870 309866 312857 314848 317839 322822 327814 332804 337799 341790 343781 345769 346750 0.25 278814 277814 274814 271814 271816 272817 275816 277815 278814 0.50 523261 525256 526250 526241 526228 527216 527208 528194 532186 534176 534157 531135 529125 526118 522111 518101 515083 512062 511054 508043 506033 502022 496010 493003 491995 488982 486975 483967 478959 476957 473958 471964 466980 464988 465991 467992 471995 473998 475007 477018 478028 479036 480047 476063 474075 473085 471094 470100 471102 475104 480102 483101 487102 492108 492114 490120 487126 475132 474133 474138 478144 478147 474147 469144 466145 464147 464153 465157 468163 472167 475170 477174 480181 489193 491201 490207 486208 480209 476211 473214 472216 475219 479220 486222 492225 495229 500229 505231 507235 510246 512256 515262 518264 523261 0.50 486908 486903 486898 486894 484890 482887 480890 478892 477895 476898 475902 474907 474910 473912 474916 475920 475921 478924 479924 482924 483922 484919 484917 486912 486911 486908 0.50 341764 341759 339754 337754 335757 327769 320782 312792 306804 303810 302812 303817 307821 313826 321813 326803 335792 338785 340779 341764 1.00 531175 531164 529150 526139 522129 516121 511110 507103 505099 502100 501107 499111 494122 490131 485138 489146 492149 496153 498157 499163 501177 504185 508194 512204 514209 518213 520215 521213 522206 522192 526183 529179 531175 1.00 508109 505107 505109 505110 508109 508109 1.00 496032 496027 494023 493019 490014 490013 488010 486007 486006 483002 481007 483011 483015 483020 484024 484025 486028 487030 490032 493034 496032 496032 1.00 485174 484169 484168 483165 482160 479158 476157 473157 472158 473159 476161 477163 478165 480168 481172 481173 483175 485174 1.00 488090 490086 491081 490077 488073 485073 482074 481077 479081 477085 476088 476089 475094 476097 479098 482097 485094 488090 488090 1.00 486063 486059 485057 482058 482059 482063 482066 485066 486063 1.50 528169 528164 527154 526149 524141 519134 513129 507128 502120 498122 498126 495130 495135 495140 497146 500150 506160 508165 510175 512186 514190 515185 518181 523178 527174 528169 2.00 525169 525164 524154 523149 520144 515139 509138 507137 504134 502136 501145 503150 506155 509160 512166 516171 519173 522173 525169 24HR QP VT 22/00Z 0.01 330686 329686 327692 321705 309737 299754 287764 274765 249760 235756 223757 214762 205779 209792 222811 236819 253822 263839 265858 267881 277909 287927 299936 317943 341942 361939 378939 383947 381964 369980 348997 300034 280039 260041 249046 243053 244068 264083 284089 309084 346053 370031 391027 405031 424053 437071 442081 439091 431097 434110 438118 432133 429143 438161 440176 438186 442211 456239 470262 487275 498277 514272 524250 541191 550132 549059 526954 515908 500856 492816 493778 501740 512714 517693 508662 499643 487633 477632 474623 473607 464595 454604 449628 445666 435691 421714 411736 404759 384790 367816 354833 347845 340847 336837 342818 358775 369725 372698 367680 357675 346678 0.01 367885 361897 362903 371908 385903 404885 438841 453787 456758 454738 445735 436755 422783 408794 392805 386820 388838 384855 374877 367885 0.01 425197 419193 413194 410201 411209 414214 419216 426212 428205 427201 425197 0.25 517219 527203 536185 541158 540112 541078 532026 518979 502929 491893 484856 479832 471825 462830 452843 444862 431888 413909 406921 409944 430972 448988 466002 488022 505050 516076 519114 517131 505142 490148 481157 480175 486186 484201 472208 464219 469228 474235 478246 488251 499258 508254 509235 517219 0.25 464013 460012 454017 449027 446039 444049 447061 458066 462059 464052 469046 476041 480028 478020 472017 464013 0.25 465105 467113 472116 478110 480103 477099 473098 469100 467101 467102 465105 0.25 357717 355709 352704 348701 344700 338704 335707 331715 325724 320733 312750 303768 299775 296784 293793 288801 281806 270811 263816 270823 276827 279832 283833 286838 288844 292857 295867 296876 296883 299888 304883 307880 308875 310865 312855 315846 318837 321827 325808 328799 332790 344773 349763 353755 355745 357733 357725 357717 0.50 525190 533184 537171 537159 536154 531147 525145 515147 506157 504169 506177 511185 519190 525190 0.50 531092 535104 533116 528117 526108 527100 531092 0.50 517046 524050 528040 524024 520010 512992 500966 490934 481893 479866 476847 469839 460850 452868 439892 428909 416919 414934 428956 449974 467987 481997 494013 510036 517046 0.50 352719 349714 344711 337715 330724 317750 297797 289811 284820 288828 294836 300846 306847 311840 316817 321798 328785 335775 340769 343763 349748 351741 353732 352719 1.00 484966 482959 477953 471950 461946 450934 438930 430934 430944 436953 442956 451962 463973 475976 479976 481975 484971 484966 1.00 476904 473891 466883 458885 452897 451906 453915 457920 464925 471928 474926 476916 476904 1.00 346735 343731 340729 335732 333735 327745 324752 321760 318769 318772 320775 323774 330768 336760 340753 344744 346735 1.50 475962 470962 463962 462967 468970 474969 479964 477962 475962 24HR QP VT 23/00Z 0.01 509260 531223 549134 548047 550016 551994 533966 509941 499919 496883 505826 503772 512714 509676 495657 471659 463662 443679 426699 411748 400792 392820 380842 366856 359857 353848 355827 366799 373771 370748 370731 376713 374700 365691 345689 324710 297735 274756 248770 236778 231791 230809 231827 237848 243867 257902 273929 299948 324949 350942 379936 394940 400951 398968 387985 367998 358002 330020 298042 274044 253031 238028 231038 230053 246066 270082 296089 318081 364040 381027 401023 416037 426058 427095 427128 438156 449169 466186 477192 479199 472203 466211 470218 482219 492228 492234 485237 475231 465225 452230 446241 449256 460267 472283 488299 502300 509289 505269 503266 506262 509260 0.25 429717 426742 427778 418820 411852 407884 414919 416942 420971 426990 440000 442000 448022 442036 440047 444068 447095 444114 445136 452145 463143 471127 480122 495118 508107 516095 520086 522061 516033 507006 498986 487951 476929 471905 476866 486810 481772 465757 451753 445738 443720 435710 430711 429717 0.25 494170 501171 504164 503159 497140 490129 486131 486145 487157 488161 490166 494170 0.25 313879 328843 350804 360772 358747 351737 338736 323747 309765 291781 258790 248795 241806 244820 259829 280837 287848 291863 288881 288893 291902 295908 301910 306908 311898 313879 0.25 258060 254060 253064 262070 270073 276072 276066 270063 263061 258060 0.50 464957 469946 464934 462931 453912 456888 476830 474792 458773 442773 435787 431813 432832 428841 421851 413877 421913 425926 427951 430972 442977 451971 454967 459963 464957 0.50 461034 455043 451056 456070 466091 470096 478098 486090 497082 503071 505047 503025 497011 482999 471999 464006 462023 461034 0.50 278817 273820 275825 282829 293834 302843 311849 319844 325829 337810 352786 353772 345761 335762 328769 323782 319798 310812 296817 278817 0.50 260800 253801 250806 251812 256816 263815 267810 268802 264800 260800 1.00 432892 431897 433904 436910 440905 439895 434890 432892 1.00 310824 309824 307825 307826 307827 310825 310824 $$
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