QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS HYDROMETEOROLOGICAL PREDICTION CENTER CAMP SPRINGS MD 553 PM EDT SAT APR 16 2011 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID APR 17/0000 UTC THRU APR 20/0000 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY 1... UPDATED...CHANGES MADE FROM THE PRELIM TO THE FINAL DAY1 QPF WERE VERY MINOR AND BASED PRIMARILY ON CURRENT OBSERVATIONAL DATA. ...ERN U.S... INCREASINGLY NEG TILTED UPR TROF EXTENDING FROM THE WRN GT LAKES INTO THE TN VALLEY AT 18Z WILL HAVE TROF AXIS SWEEP RAPIDLY NEWD TOWARD SRN NEW ENGLAND OVERNIGHT AS UPSTREAM S/WV DIGS SEWD ACRS THE WRN GT LAKES AND PHASES WITH SYSTEM TOWARD THE ERN GT LAKES SWRN QUEBEC PROV LATE TONIGHT AND SUN. STG INFLO OF GULF AND ATLC MSTR WL CONT AHD OF THIS H5 TROF..ON A SLY LLJ EXCEEDING 60KTS..WHICH WL BRING PWS BWTN 1.00-1.25 INCHES AS FAR N AND E AS SRN NEW ENG REGION. EXPECT SOLID SQLN DVLPMENT TO OCCUR IN RESPONSE TO INCREASING UPR DIVERGENCE/HEIGHT FALLS WITH LINE FEEDING ON STG LOW LEVEL JET AND DEEP MSTR..SUPPORTING WIDESPREAD 1 TO 1.5 INCH RAINS TONIGHT FM NJ NEWD INTO SRN MAINE. THE NAM SOLN APPEARS TO BE INITIALLY SLOW WITH EWD MOVEMENT OF SQLN AND IT APPEARS SO COMPARED TO MUCH OF THE 12Z MODEL GUIDANCE. 12Z GFS LOOKS GOOD WITH TIMING AND AMOUNTS AND LOOKS REASONABLY CLOSE TO THE 00Z ECMWF AND 12Z UKMET AND ITS AMOUNTS WERE GENLY FOLLOWED. FARTHER TO THE N AND W..BROAD CYCLONIC FLOW ASSOCD WITH OCCLUDING LOW WILL MAINTAIN PERIODS OF PCPN ACRS THE GT LAKES REGION SOME OF THAT IN THE FORM OF ACCUMULATING SNOWS ESP ECIALLY OVER THE ARROWHEAD OF MN AND U.P. OF MI. PLS SEE THE QPFHSD FOR DETAILS ON THE WINTER WX. ...WRN STATES... ZONAL FLO WL PERSIST INTO THE WRN STATES THIS PD WITH A SERIES OF WEAK LOWS RIDING EWD ACRS THE ERN PAC ALONG E/W FRONTAL BNDRY TOWARD THE OR/NRN CA COAST THIS PD. THERE ARE SOME QUESTIONS ON MODEL TIMING WITH MAIN SFC WAVE FCST TO APCH THE COAST LATE SUN WITH THE NAM SOMEWHAT ON THE FASTER END OF GUIDANCE COMPARED TO THE NON-NCEP MODELS. THAT SAID...EVEN THE FASTER SOLN OF THE NAM DOES NOT DIFFER TOO MUCH QPF WISE FROM THE 00Z ECMWF/12Z UKMET/12Z CANADIAN. THE 12Z GFS ON THE OTHER HAND IS CONSIDERABLY WETTER BUT IS MORE THAN TWICE THE GEFS MEAN AMOUNT WHICH IS CLOSER TO CONSENSUS. THEREFORE..ENDED UP GOING WITH CONSENSUS HERE WHILE ALSO LEANING TOWARD AN ENSEMBLE BLEND WITH MOIST WLY FLOW EXTENDING EWD INTO THE NRN INTERMOUNTAIN REGION/ROCKIES. TO THE NE..WEAK S/WV ENERGY PUSHING EWD OUT OF SW CANADA WILL HELP TO ENCOURAGE ISENTROPIC LIFT ACRS NRN MT INTO PORTIONS OF THE DAKOTAS LATE SAT NIGHT INTO SUN. MODELS HAVE TRENDED A TAD STGR WITH WEAK 85H REFLECTION AND THERE SEEMS TO BE GENL SUPPORT FROM 12Z NAM/GFS/CANADIAN/GEFS MEAN/AND UKMET FOR A STRIPE OF .25 INCH AMOUNTS ACRS NE MT INTO WRN ND AND GENLY ACCEPTED THIS IDEA. SEE QPFHSD FOR WINTER WEATHER DETAILS. DAYS 2 AND 3... ...WEST COAST/INTERMOUNTAIN WEST/ROCKIES... MODELS SHOW GOOD PATTERN AGREEMENT THROUGH THE PERIOD...WITH A LOW AMPLITUDE SHORTWAVE TROUGH OVER THE CENTRAL PACIFIC INFLUENCING AREAS FROM NORTHERN CALIFORNIA THROUGH THE INTERMOUNTAIN WEST AND CENTRAL ROCKIES...WHILE ANOTHER BUT SLOWER MOVING SHORTWAVE TROUGH AFFECTS AREAS FROM THE PACIFIC NORTHWEST INTO THE NORTHERN ROCKIES. THE QPF DETAILS OF THE NAM BECOME INCREASINGLY QUESTIONABLE BY DAYS 2/3 AS ITS LARGER SCALE MID/UPPER TROUGH MOVES STEADILY TOWARD THE AMPLIFIED SIDE OF THE GUIDANCE... WHILE THE BETTER INITIALIZED GFS/ECMWF SEEM TO CAPTURE THE MOST REASONABLE AND LIKELY RANGE OF STRENGTH/SPEEDS. THUS...VARIOUS COMBINATIONS OF THE GFS/ECMWF COMPRISE THE BULK OF THE QPF...WITH THEIR RESPECTIVE ENSEMBLE MEANS RECEIVING NEARLY EQUAL WEIGHTING BY DAY 3 DUE TO THE CHALLENGING NATURE OF THE QUICK MOVING/LOW AMPLITUDE FLOW ORIGINATING FROM THE PACIFIC AND HIGH LATITUDES. THUS...THE FINAL QPF WILL APPEAR ABOUT MIDWAY BETWEEN THE GFS/ECMWF BOTH IN TERMS OF AXES AND MAGNITUDE WITH THE HIGHEST 48-HR TOTALS ENDING LATE TUESDAY FOCUSED ALONG THE WESTERN SLOPES OF THE SIERRA NEVADAS AND SHASTA MOUNTAINS IN CALIFORNIA...ALONG WITH THE UPSLOPE AREAS OF THE BITTERROOTS/TETONS/WASATCH/NRN-CENTRL ROCKIES AS THE TROUGH MOVES INLAND. CONFIDENCE IS NEAR TO SLIGHTLY BELOW AVERAGE FOR BOTH DAYS DUE TO THE PATTERN. ...PLAINS/MIDDLE MS VALLEY/OH VALLEY A DEEPENING MID/UPPER LEVEL TROUGH ACROSS THE WEST WILL INTERACT WITH MID/UPPER LEVEL CONFLUENCE OVER ONTARIO/QUEBEC TO FAVOR A BROAD AND DEEP REGION OF FRONTOGENESIS FROM THE CENTRAL PLAINS EASTWARD THROUGH THE OHIO VALLEY THROUGH THE PERIOD...WITH THE LENGTHY PERIOD OF LOW LEVEL SOUTHERLY FLOW EVENTUALLY ALLOWING A DEEPENING MOISTURE PLUME TO CONTRIBUTE TO WIDESPREAD PRECIPITATION ALONG THE FRONT. THE SYSTEM DETAILS REMAIN SOMEWHAT QUESTIONABLE HOWEVER DUE IN LARGE PART TO THE VARIOUS COMPONENTS OF THE WESTERN TROUGH ORIGINATING FROM CENTRAL PACIFIC AND OVER ALASKA. THE NAM HOWEVER...APPEARS TO BE THE ODD MODEL OUT BY AMPLIFYING THE TROUGH MORE THAN ANY OTHER SOLUTION WHICH CAUSES THE AFOREMENTIONED FRONTAL BOUNDARY TO LIFT MORE AGGRESSIVE NORTHWARD AND THUS FOCUSING PRECIPITATION IN DIFFERENT AREAS. MEANWHILE...THE GFS/ECMWF...WHILE SHOWING SOME VARIANCES AS WELL...DIFFER MOSTLY IN PHASE...BUT OTHERWISE AGREE THAT THE TROUGH WILL DEVELOP LESS AMPLITUDE THAN THE NAM AND FOCUS PRECIPITATION A LITTLE FARTHER SOUTH. THUS...HAVE UTILIZED THE GFS/ECMWF AS A BEGINNING POINT FOR THE QPF...CHOOSING INTERMEDIATE AXES AND AMOUNTS FROM BOTH SOLUTIONS BEFORE AMPLIFYING FOR MODEL BIASES SUCH AS SOUTHWARD PROPAGATION INTO THE MOIST AXIS/LOW LEVEL JET AND SHIFTING THE FINAL DAY 3 SOLUTION SOMEWHAT TOWARD THEIR RESPECTIVE ENSEMBLE MEANS DUE TO THE INCREASING SOLUTION SPREAD AND UNCERTAIN INFLUENCES FROM THE MESOSCALE. SULLIVAN/JAMES GRAPHICS AVAILABLE ON THE WEB AT WWW.HPC.NCEP.NOAA.GOV 24HR QP VT 18/00Z 0.01 401633 398642 397648 399655 400658 398660 394661 389663 384665 376671 369678 365683 363689 361695 356699 346707 338714 322729 308743 303747 299752 291761 277774 273781 272786 272789 275791 279793 283793 290791 296786 304783 308791 311793 316794 321794 326793 336791 348786 361779 371775 376776 379779 379786 376791 371801 366810 361818 359822 360828 364831 367830 371831 374834 382839 389844 408848 415852 422861 455883 458888 461895 463898 468901 474902 477904 481921 485926 490928 497923 500922 504922 513922 519920 522918 528913 530907 534895 535880 535871 533861 529837 524817 522808 521799 521791 520781 517773 514768 506757 504748 505741 507729 509711 510696 514670 512662 510656 510652 507642 503633 500626 493619 488615 483612 478609 473608 465604 456603 441606 425611 0.01 532190 535175 536166 536158 535146 532134 525116 521105 517096 515091 514087 513081 514074 515063 514049 508026 503014 498002 493996 490992 486990 479987 473982 462972 456965 452959 443942 435928 429920 422912 416904 410898 405896 397894 394899 396910 400931 401937 398940 395941 394946 395953 398958 404961 404967 405971 407975 413981 421986 426990 432996 436002 446015 452021 456028 460037 462047 464053 465059 465065 466069 471080 470086 473097 475104 475109 474113 470120 468125 467132 463134 458134 455135 453138 451141 450139 449133 449129 451126 453126 458124 461119 465113 459079 458072 456067 452057 451050 447047 442048 438044 437039 436032 435027 431021 425015 421015 417017 414020 413024 421040 422045 421049 418050 415053 407053 397055 394057 392060 389070 388075 389080 395087 401092 402099 402105 398114 399121 400125 407142 404160 405169 407180 408190 406195 394209 397225 388234 387240 387247 389255 394261 399263 402262 406261 409265 417269 423265 427257 439249 446245 449242 452239 449233 454225 457219 454215 449212 444213 442209 445204 448201 454197 456193 458190 461185 462178 459174 458168 461164 463166 467167 473166 480169 483173 484176 486182 487189 490198 491202 490205 488206 479205 474208 472211 472219 475224 480225 486227 489229 491233 491234 486236 478235 476234 473236 472242 472246 473250 476251 480254 484258 487266 491275 498283 503284 507283 510280 511275 515272 517267 518258 517252 521239 522231 522226 521219 521211 528199 532190 0.01 436088 437082 436079 430073 428071 424071 422073 418074 415081 412083 411087 412097 415106 421103 424100 424096 422088 424083 427084 432088 436088 0.01 266809 266806 265803 263800 261798 260798 257796 254796 251797 251799 251802 252805 253808 255810 256810 259812 262812 264810 266809 0.25 497670 492662 486655 479650 472648 466647 460642 461635 460629 457625 454623 440622 434621 426623 422627 421630 420637 424641 429643 431650 430655 428661 424663 417666 401670 393672 389674 385678 381684 379688 379698 381703 382708 380711 380717 379725 375728 370730 362732 351737 342743 336748 330754 327761 327765 328772 331776 334776 340775 346773 352770 369764 378763 386762 393763 399765 405768 409770 414771 423770 429772 435777 440786 445794 450801 454810 456822 455844 456851 458856 463865 467872 473878 481882 489885 497889 503888 510884 514879 515874 514848 513835 510818 508809 506801 502792 496782 491776 488770 486762 486757 487752 491730 493718 497709 500699 500689 498675 497670 0.25 520172 521166 521160 520151 518143 514133 507119 505111 502100 501092 500081 498071 496063 485028 482022 478016 472012 474018 475023 476033 478041 480050 484069 486077 490086 493093 495100 496110 495117 492124 488130 485134 485139 489144 496158 499164 504171 509177 513181 517181 518176 520172 0.25 451163 452159 452155 450152 448150 447150 444148 442146 440145 439144 438145 436146 435148 434152 435156 435157 437161 437162 440164 442165 443166 446167 447166 449166 451163 0.25 455114 454101 450095 442092 438092 434095 430095 431100 430104 426107 423111 422116 424119 428125 434121 440117 443118 447119 451117 455114 0.25 435233 438226 439222 437219 433216 429211 424202 420205 420210 420214 414215 411216 408218 407221 406228 402231 398238 396245 398250 405250 414251 419251 423250 427247 430243 435233 0.25 447076 449072 447070 444070 441071 441072 441073 444075 447076 447076 0.25 434172 434168 429163 426161 423158 421154 418154 416161 418165 418173 420177 421182 423186 427187 430183 433176 434172 0.25 414072 413068 412068 410066 407067 405068 405072 407074 410075 412074 414072 0.50 490686 489677 487674 485671 478667 470664 461656 454653 451651 446651 443652 439656 436662 430666 422669 418673 416678 414687 408698 405707 403718 401723 398727 394731 389734 381737 370741 361744 350749 341755 338758 336762 336765 338768 341768 347767 353764 361761 366759 372758 380757 391756 397758 405761 409762 415762 424761 438768 447767 453763 455760 465751 471743 475732 479720 490686 0.50 502860 501846 500840 498833 494825 491822 488820 485819 481820 476828 474836 473845 473852 475858 480865 485869 491870 500867 502864 502860 0.50 448113 447110 446109 444105 443101 441098 438098 435100 433104 432106 430108 429110 428112 429116 432118 435117 435116 438115 441113 443114 446114 448113 0.50 428239 430232 431228 430225 424222 421225 415226 411226 408233 405236 403240 406244 412245 417246 422245 426243 428239 1.00 459673 455666 451665 449668 445670 443674 439680 436686 436691 426712 425719 425722 423724 419725 416726 412728 401734 395737 389742 388746 391747 395747 405751 413753 424753 432754 439752 442750 444746 445739 440732 439730 440724 446713 448706 451701 454696 456689 459677 459673 1.00 419237 419236 416234 414235 413239 415240 417240 419237 419237 1.50 447697 446696 443698 441700 439703 439704 437707 436710 438713 440714 443713 444708 445703 446703 447698 447697 1.50 430731 427732 424734 421734 418736 416737 413739 411741 410745 412746 414746 416746 419746 422745 424743 426740 429741 430741 430740 429739 427738 428735 430732 430731 24HR QP VT 19/00Z 0.01 517278 519270 520261 519257 515252 514245 512240 507230 506225 508216 515215 518213 521208 525199 529183 531178 531169 531163 528156 525150 521146 513138 508130 507123 506118 501115 496113 494112 490108 485098 482089 479081 476081 470078 468073 467062 467047 470041 500064 504062 506059 508053 510047 510038 508028 508021 505013 504005 502002 495996 479988 469972 465970 461971 457969 455964 446940 439919 430896 425883 424866 423862 424855 425844 426833 426823 427799 426777 427766 430755 432745 433733 433730 430724 427720 424717 419715 415714 411717 409720 405730 402738 397757 393766 391776 390793 388818 386828 384837 380847 379853 380856 380862 378866 372874 357907 353914 351918 351922 352934 355938 360937 373934 378933 382933 398939 407942 411944 414948 412957 410966 408976 407990 405002 403012 400020 398024 397030 398037 400044 404045 405049 401050 397053 394057 390061 386063 384065 384068 380070 378068 375069 372072 371077 372084 375089 376093 375101 377103 380102 382101 390103 392107 390109 382112 377114 374119 373122 370124 364128 362133 361138 360149 361155 363160 366164 369166 376166 383174 384177 383182 378184 373181 368180 363181 355183 356188 359191 362194 367197 372202 374206 375209 374212 366212 359208 354204 351205 349207 349211 354217 361231 366233 369237 368240 367247 370250 379258 382260 385260 403259 410255 421258 428256 431253 434248 435241 435237 435234 437232 439232 441235 439243 441249 447254 463254 469254 475255 476256 481261 496278 499281 503282 509284 517278 0.01 471697 471692 469689 466686 462686 460687 457694 455700 452703 447708 442711 439716 441724 443731 440734 437740 437745 437749 440751 443752 448749 451745 453733 454728 457722 460717 465713 468709 470703 471697 0.01 495858 493851 488838 481818 480806 479797 477784 476778 473772 468770 465772 463776 460793 460802 462815 464820 466825 471833 473845 475858 477870 481878 484881 487882 493878 495868 495858 0.01 481204 483199 482194 480186 475182 468183 464186 458189 454192 451189 450184 449179 446178 444180 441180 439183 438185 439190 440193 441196 439200 437207 437216 444217 449215 461212 466209 471209 481204 0.01 267805 266803 264802 262801 261800 258800 255801 253802 252805 252808 253811 256813 257813 259813 262812 265812 266809 267808 267805 0.25 510175 510156 503146 497141 492136 488133 485134 486137 489143 490146 494148 498151 499157 496162 492164 484164 473158 472163 475168 482171 487174 490177 493178 500181 507181 510175 0.25 461106 456093 452090 445091 439088 435092 432092 429088 427086 424086 422090 423093 426099 424102 421102 417103 415101 415095 416088 415084 421076 423072 429068 438067 440070 443073 453081 453078 450073 446069 443067 440065 439061 439056 440052 444050 447045 450040 451032 448021 448014 450008 451001 450996 445982 440970 436965 433964 427986 420008 416017 414023 413031 413041 414050 412057 407061 393073 389076 389079 396086 404091 405095 405100 404107 394113 385117 379126 376128 375132 376134 379133 381130 385127 390124 404129 409132 413135 413140 410143 403150 400153 398161 396166 393168 392174 394179 401187 401191 399194 393194 384193 380191 374187 371185 365185 363187 364189 368193 380207 382212 384218 383224 381230 381237 382242 387246 390247 400249 405249 410247 414246 420246 423244 425241 421228 418224 419218 428203 429180 434172 434166 438161 443159 448158 448154 446152 441149 435139 434136 433133 435128 437122 441120 448121 452118 455114 461106 0.25 411859 410855 410851 408848 408846 404846 403850 402851 403854 403858 405861 408862 411860 411859 0.50 453105 454101 453097 449095 438092 423107 421111 417113 406109 399115 400121 405125 409126 412125 417126 419130 419138 417143 414148 409152 406157 406164 404169 403174 404176 410178 414180 419182 422178 425172 428170 430166 429163 426158 425150 424145 425139 428131 432122 436117 441115 446117 451114 453105 0.50 444044 445039 444037 443036 441033 438036 440040 440044 441044 444044 444044 0.50 420241 414227 416220 416217 414212 416207 419205 416200 410202 406205 398204 392200 384197 380197 377199 380204 385211 390215 394222 393226 389227 385234 386238 388241 396245 399246 404246 409245 420241 0.50 415072 415068 415066 416064 415064 412062 410064 409064 407065 404067 403068 404070 404072 405076 406080 407081 410080 412078 415076 415072 415072 0.50 402076 402072 401071 400072 398074 398076 401077 402076 1.00 444109 444108 443105 443100 441098 438099 437100 436104 435108 438110 441110 444110 444109 1.00 413239 413238 410236 409237 410240 413239 413239 1.00 413223 413218 408215 405212 402211 400209 397207 392203 386204 386205 389209 393213 396216 401218 407221 409226 413223 1.00 421154 418151 417153 416157 417160 419158 421154 421154 1.50 399212 397209 394209 393210 394211 396213 399212 24HR QP VT 20/00Z 0.01 536186 534170 531162 528159 510137 507127 504110 502101 500099 496097 494094 489081 488077 488069 488063 490056 493045 493036 491027 489012 484000 480994 478989 472979 469971 467964 465959 465952 464942 464925 465913 466904 466898 466882 465871 465861 463852 461840 459824 457816 455808 451796 446781 444773 443763 442750 441735 437721 443694 444681 445676 443671 443663 441658 438655 435654 427652 421659 418669 416679 413684 411687 409688 404688 402691 400701 399714 399727 399735 398740 390751 389756 388763 392779 392783 390788 381803 374842 364870 358886 354903 356914 353923 336938 331942 324947 320953 310966 305975 304978 305980 308981 313984 317983 323979 332973 341966 360954 368947 375943 381940 383943 384947 385951 389961 390969 390973 385994 381004 380011 380018 385028 389039 388047 387051 389055 389058 385061 383058 381052 376050 372049 370051 362054 358057 355062 354066 355071 356076 359079 364086 369098 371108 372113 371121 369128 370139 372144 377148 381148 383149 386152 389156 388163 387171 388175 390178 394183 397185 402184 407181 409174 410168 413164 419164 422160 424156 426143 428137 431133 436125 439124 441127 441135 437140 434144 432153 432158 434161 436166 443171 445175 446179 444180 441183 441186 442189 442198 443204 446206 450206 453201 456195 460190 467182 472182 477184 480188 485191 486197 483202 480204 474204 469208 465209 461209 457212 451212 447213 439214 434217 433220 430224 430227 432230 434232 440234 439242 442248 444251 447252 458251 463250 467250 471251 477254 478257 484268 491277 495282 498283 508286 510286 512284 514281 519270 519264 518256 515245 514238 511233 509229 508221 507211 510205 513204 520204 528204 536186 0.01 412223 413219 411218 407216 403210 398204 392199 387194 379192 374188 370192 371198 376202 381207 387212 393215 397217 401220 406223 412223 0.01 365189 365185 362181 360178 357178 352178 349177 347175 347172 345165 342163 336163 331162 325162 323165 324171 326175 329176 334179 337183 339187 341196 343200 348203 350193 352190 356190 362190 365189 0.25 489220 487215 482210 476210 473211 464215 460217 455217 453218 454222 457222 459224 462228 461232 454235 451238 454240 460242 463241 469241 475244 481245 483245 483240 479230 477225 480224 484223 489220 0.25 494153 496149 496143 495133 494124 492118 487109 484095 481079 480070 481061 482046 482037 480029 478020 476013 469000 463993 458985 454976 452960 452944 451927 453894 452881 451864 449853 446837 437806 433792 431776 429751 425727 420715 417710 412710 409712 407715 406721 405729 404735 403745 400755 399760 398768 399780 396789 392798 378863 370886 370892 376900 377909 378917 379922 381924 388928 391930 394935 397946 400962 401970 400978 400992 403007 406019 411022 420014 424012 429012 433015 436018 440028 444039 448055 448063 445068 443072 445076 448081 449084 449089 445092 444092 439092 437096 434100 432105 430108 431113 433115 437114 440114 443117 448121 455126 459130 459134 458138 456143 455148 455151 458156 461158 467159 470163 474163 478162 486164 490160 494153 0.25 418119 417117 416115 414113 412114 411114 410110 409108 406108 405110 403112 402113 401117 403119 405121 408123 411122 414121 417119 418119 0.25 419064 415060 412057 409053 409045 407041 403040 401048 396053 393061 387065 385066 380065 375064 370063 367064 367068 370072 370076 370081 372085 377090 381095 385095 388094 392090 395092 397090 401086 412078 416076 418071 419064 0.25 389120 388118 385117 383119 382120 381123 382124 385125 386123 388120 389120 0.50 491139 489136 487134 486134 485138 486139 489142 491139 0.50 474059 474051 473042 472038 470030 467025 466025 464030 461035 460039 460043 461051 462055 465062 468068 471071 473064 474059 0.50 422745 420734 418729 415724 411726 410732 410738 407744 405752 404759 401788 396799 393805 392811 379866 378874 379881 382887 385891 387895 388901 386908 385912 387916 390919 395925 398933 402947 405965 407984 409993 413003 418003 422001 427996 431991 435987 438980 439971 439963 443946 444933 446916 446906 446895 444875 441864 437853 435849 426836 422828 420821 418827 417830 414830 411825 408820 407816 407811 410808 417807 419808 420804 423799 425792 425785 425770 425762 424754 422745 0.50 456110 457105 458101 456097 453095 450095 447096 446097 444101 444103 441104 443109 444109 447109 449110 452112 455110 456110 0.50 413072 414064 410064 401060 397061 392064 385068 381069 378068 374069 374075 373083 377086 381087 384091 388090 391087 398081 405076 413072 1.00 436882 434875 431872 428874 422877 417875 413869 410862 403850 396839 394836 391835 389843 387857 385868 391878 394886 396895 395903 396911 401924 406939 408944 409953 410958 411964 415968 418967 422962 426957 429952 432946 434940 435931 436922 436916 437906 437899 437891 436882 1.00 401072 398071 395071 393068 392068 389068 387070 385072 385076 387076 389078 391079 392080 393079 395076 395073 398075 401072 401072 1.00 387087 386085 386083 384079 382083 384086 385086 386088 387087 1.50 429929 428921 426917 424914 422911 422907 419899 417896 410890 407886 403889 400898 399906 401913 405924 411933 412937 413944 414948 416952 418953 420951 422948 427939 429933 429929 1.50 402862 402861 400859 398856 395857 392859 392862 392866 394869 395870 396872 399874 401874 402874 403869 403866 403865 402862 1.50 393076 392074 391072 389071 388072 389073 391076 392077 393076 $$