QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS HYDROMETEOROLOGICAL PREDICTION CENTER CAMP SPRINGS MD 557 PM EDT FRI APR 15 2011 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID APR 16/0000 UTC THRU APR 19/0000 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY 1... UPDATE... TO THIS POINT IN TIME..ALL MODELS EXCEPT FOR THE GEM REGIONAL HAVE BEEN UNDERESTIMATING CNVCTV RAINS OVR THE SRN STATES..BEING TOO SLOW AND UNDERDONE. THE GEM REGIONAL QPF INVOF THE THE SE/MID ATLC REGIONS DURING THE DAY TMW REMAINS FARTHER SOUTH AND QUICKER THAN OTHER GUIDANCE AND SEEMS A BETTER FIT TO HGT FALLS AND REGION OF STGLY DIV FLOW ALOFT IN PLACE AT THAT TIME. ADJUSTED THE FINAL DAY1 ACCORDINGLY. ALSO..ADJUSTED THE QPF TO BETTER REFLECT THE ONGOING PCPN OVR THE ERN HALF OF THE NATION AS WELL AS ADDED TO AMTS INVOF NRN CA EARLY IN THE PD. ...EASTERN U.S... RATHER DEEP MID/UPR LOW LOCATED OVER ERN KS THIS MORNG WILL BEGIN TO GRADUALLY FILL DURING THE PD BUT TAKE ON A MORE NEG TILT AS IT LIFTS NEWD ACRS THE TN/OH VALLEYS TOWARD THE MID ATLC REGION BY LATE SAT. ASSOCIATED SFC LOW WILL CONTINUE TO LIFT TOWARD THE GT LAKES REGION WHILE MODELS GENLY AGREE ON A SECONDARY LOW DVLPMENT NEAR THE CNTL APLCNS ON SAT IN RESPONSE TO STG JET STREAK AND INCREASING UPR LEVEL DIVERGENCE DVLP OVER THE REGION. STG LOW-MID LEVEL THETAE ADV WILL CONTINUE TO WRAP CYCLONICALLY AROUND THE E AND N SIDE OF THE RATHER LARGE CIRC AND WHILE EXPECT PERIODIC ENHANCEMENT OF COMMA HEAD PCPN BAND..AMOUNTS ARE EXPECTED TO BE CONSIDERABLY LESS THAN THE PREVIOUS 24 HRS DURING THE OCCLUSION PROCESS. HEAVIER PCPN AMOUNTS ARE EXPECTED TO REMAIN IN THE DEEPER MSTR AXIS AND BETTER MID/UPR FORCING ACRS THE ERN TN VALLEY..ERN OH VALLEY INTO THE MID ATLC AND SOUTHEAST. STILL LOOKS AS THOUGH THE NAM QPF REMAINS A LITTLE TOO HEAVY ACRS THE OH VALLEY..WHILE AGAIN PROBABLY UNDERDONE FARTHER SOUTH WITH WARM SECTOR PCPN. HI RES MODEL RUNS FROM THE 00Z RUN LOOK VERY GOOD WITH HANDLING OF PRE FRONTAL CONVECTIVE SQLN AND MAINTAIN A MORE ERN FOCUS FOR HEAVIER CONVECTIVE RAINS FIRST HALF OF THE PD BEFORE SOME OF THE LARGER SCALE MODELS COME INTO CLOSER ALIGNMENT DURING THE SECOND HALF OF THE PD. EXPECTING A BAND OF 1 TO 2 INCH RAINS TO OCCUR FROM SRN PA SWWD INTO ECNTRL AL. FARTHER NW...MDTLY STG COMMA HEAD PCPN BAND WILL LIFT INTO THE UPR MS VALLEY WHERE MODELS SHOW REASONABLY GOOD AGREEMENT FOCUSING .50 TO 1 INCH AMOUNTS THRU THE WRN GT LAKES REGION..WHERE SOME HEAVY WET SNOWS ARE EXPECTED. SEE QPFHSD FOR WINTER WEATHER DETAILS. ...PAC NW INTO THE NRN GT BASIN... LATEST MDL SOLNS A RATHER MOIST WAVY E/W FRONTAL BAND NEAR THE WA/OR COAST UNDERNEATH RATHER FAST ZONAL FLO PERSISTING INTO THE PAC NW. EMBDD WEAK UPR DISTURBANCES AS WELL AS VORTEX WORKING INTO BC BY SAT MRNG WILL KEEP WEATHER RATHER UNSETTLED ACRS THE PAC NW WITH PDS OF SHWRS/INLAND HI ELEV SNOWS. MODEST LOW LVL ONSHORE FLO WL IMPACT THE PAC NW AND NRN CA..SUPPORTING ENHANCED PCPN OVR WRN OR FM THE CASCADES WWD AND ALSO OVR NWRN CA..WITH LGTR AMTS SPREADING ENEWD INTO PTNS OF THE NRN GT BASIN..WITH WLY FACING UPSLOPE AREAS SEEING THE HEAVIER PCPN AMOUNTS. TENDED TO GO WITH A BLEND OF NAM/GFS AMOUNTS MOST OF THE REGION GIVEN REASONABLY SIMILAR MASS FIELD SOLNS. DAYS 2 AND 3... ...EASTERN U.S. DAY 2... A NEGATIVELY TILTED UPPER-LEVEL TROUGH WILL SWING THROUGH THE MIDWEST AND MID-ATLANTIC STATES EARLY SUNDAY. AT H5 A CLOSED MID-LEVEL LOW ACCOMPANIED BY STRONG SHORTWAVE ENERGY WILL MOVE THROUGH THE GREAT LAKES REGION EARLY SUNDAY AND INTO NEW ENGLAND SUNDAY EVENING...BEFORE LIFTING NORTHWARD OVER EASTERN CANADA ON MONDAY. MODERATE TO HEAVY RAIN WILL FALL AHEAD OF THE SURFACE COLD FRONT AS IT MAKES ITS WAY TO THE ATLANTIC COAST. AHEAD OF THE FRONT OVER THE SOUTHEASTERN U.S. UNSTABLE...WARM...MOIST AIR WILL PROVIDE THE SET UP FOR STRONG THUNDERSTORMS...SOME SEVERE. STORMS WILL CONTINUE UNTIL THE COLD FRONT EXITS THE U.S. EARLY SUNDAY. HOWEVER...THE NORTHERN PORTION OF THE SYSTEM WILL REMAIN WRAPPED UP OVER THE NORTHEAST THROUGH SUNDAY NIGHT. LIGHT TO MODERATE PRECIPITATION WILL MOVE THROUGH NEW ENGLAND ON SUNDAY...WITH THE HEAVIEST AMOUNTS IN THE TERRAIN OF THE APPALACHIANS. THE ECMWF WAS THE FAVORED SOLUTION FOR THE EASTERN U.S. BECAUSE IT HAS BEEN CONSISTENT RUN TO RUN AND HAS HANDLED THIS SYSTEM WELL IN THE SHORT-TERM. ...NORTHWESTERN U.S... DEEP...MOIST ONSHORE FLOW WILL BRING WIDESPREAD PRECIPITATION TO THE NORTHWESTERN STATES THROUGHOUT THE FORECAST PERIOD. A MID-LEVEL SHORTWAVE PUSHING ACROSS THE U.S. AND CANADIAN BORDER WILL SUPPORT WIDESPREAD PRECIPITATION ACTIVITY ON SUNDAY. ADDING TO THAT...A DEEPENING TROUGH ACCOMPANIED BY A ROBUST UPPER-LEVEL JET WILL APPROACH THE PACIFIC NORTHWEST COAST EARLY MONDAY...FURTHER INVIGORATING PRECIPITATION ALREADY IN PLACE OVER THE REGION. LOCALIZED MODERATE TO HEAVY PRECIPITATION AMOUNTS ARE LIKELY ALONG THE COAST AND THROUGHOUT THE TERRAIN. STRONG DYNAMICS ALOFT WILL PUSH THE MOISTURE LADEN AIR ACROSS THE ROCKIES AND INTO THE NORTHERN PLAINS MID-MONDAY. HPC QPF FAVORED THE 00Z ECMWF WITH AMOUNTS ADJUSTED FOR TOPOGRAPHY. ...CENTRAL U.S. LATE DAY 3... THERE HAS BEEN MUCH UNCERTAINTY BETWEEN MODEL RUNS WITH THE HANDLING OF THIS SYSTEM. HPC FAVORED THE 00Z ECMWF FOR THE FRONTS AND PRESSURES. FOR PRECIPITATION THE EC INDICATES LITTLE TO NO PRECIPITATION OVER THE MISSISSIPPI VALLEY...FOCUSING INSTEAD ON A MORE NORTHERN SOLUTION PLACING PRECIP OVER THE OHIO VALLEY. NCEP MODELS FAVOR A SOUTHERN SOLUTION WITH HEAVIER AMOUNTS THAN MOST OTHER GUIDANCE. MOST UPPER-LEVEL OPERATIONAL SOLUTIONS INDICATE A WEAK VORT CROSSING THE CENTRAL PLAINS INTO THE MIDWEST EARLY MONDAY...ADDING CREDENCE TO THE MODELS WITH A NORTHERLY PRECIPITATION TRACK. HPC IS TENTATIVELY GOING WITH THE 00Z ECMWF FOR THIS SYSTEM...HOWEVER...RUN TO RUN VARIATIONS ARE NOT LEADING TO FORECASTER CONFIDENCE. SULLIVAN/COLLINS GRAPHICS AVAILABLE ON THE WEB AT WWW.HPC.NCEP.NOAA.GOV 24HR QP VT 17/00Z 0.01 529862 527844 523824 519806 514788 512782 508773 505766 500760 495753 486746 479741 470737 453735 445731 436726 427725 417724 409728 398733 387738 384739 378740 368743 356748 346753 338758 329764 321771 303779 293784 289789 288793 284796 277798 270800 264800 260803 258805 259808 262811 269814 280811 285811 289812 292816 294821 289839 290845 290848 291855 293858 293862 292867 289876 289881 291886 293891 293898 296904 299906 309907 316903 325897 331889 334888 339883 348880 353880 358882 363890 367896 366902 361909 360915 359921 359931 360936 364938 371937 374936 376938 382948 388954 396960 403964 411969 420973 429975 436975 443974 457971 467970 472972 478971 486973 496973 508971 513970 517967 519960 520953 524947 527940 527933 526927 524923 524918 527913 529901 530887 531882 530872 529862 0.01 514281 517266 517258 514254 513242 511237 509231 497208 498203 500199 503198 505200 507202 512212 515216 521217 524212 524207 525194 527188 529179 529168 529159 524149 518141 513133 508122 505112 502100 499094 496089 491086 486085 484086 481091 483103 485107 484110 479099 473091 464089 457081 455077 451072 444068 440069 438072 439076 442079 446083 450084 449086 446088 444087 438086 434088 430088 427088 424093 426100 426104 424103 422104 419108 417114 414114 411118 409124 408131 410141 410148 407151 405155 400157 394165 391169 393173 402171 403176 406179 409189 409196 413196 416198 418197 420194 423190 427189 434189 435196 435205 432205 430204 423203 420205 412205 408208 404209 396207 389201 386201 381203 388211 395218 398224 391228 388231 385236 385246 389255 393264 395267 398268 402266 420264 453256 460254 465253 470255 483262 488272 489278 492281 495285 497287 500289 504291 510289 514281 0.01 524053 523044 522039 520034 515030 508026 503022 500018 497014 492012 487015 484019 482024 482033 483041 485046 486054 488058 491059 496054 500053 503054 506059 511063 514064 519063 523058 524053 0.01 498250 496245 494240 491236 488232 483228 477228 473228 474230 476231 481235 484238 490241 493244 495249 497253 498250 0.01 485201 487197 485192 482189 476185 470185 466187 463191 460194 459202 462205 468205 471203 477203 480202 485201 0.01 459127 459122 458121 457122 456126 457128 459127 0.01 449130 450126 449125 446125 443128 441129 440130 437131 434132 437134 439137 440137 442135 445134 446133 448130 449130 0.01 435136 434132 431133 428135 427135 427139 426143 425147 426151 426154 429154 430151 430147 431144 432140 433138 435136 0.01 425064 425059 424055 421052 412056 405057 398061 395064 392072 392076 395078 401080 405081 410081 415078 421072 424067 425064 0.01 305806 304803 303803 300804 300805 301808 302809 304808 305806 0.25 514878 514864 513857 511848 509841 506837 501827 496819 490811 484805 479799 469785 459771 433748 421739 419738 414739 407742 372758 364761 355766 342775 337779 335782 330789 323802 320809 317816 317823 320830 310860 309866 306875 306882 308886 311887 316887 320884 327879 341869 346866 354865 370866 377865 382865 385866 389871 389874 387877 383882 383885 385887 390893 395899 401905 415913 420919 425922 431928 432932 431933 424938 421941 419943 422945 430946 439942 448938 453934 460929 463927 467927 474929 482929 492925 499921 506912 509904 513890 514878 0.25 505174 505165 503159 495149 494143 491138 487134 483134 477134 474136 473138 479142 482148 481152 478152 474149 468148 444147 438147 435151 435157 437165 440169 443172 446176 450183 453187 457184 461180 460176 457175 456172 456167 458162 460160 462160 466166 485169 488175 492180 496181 500179 505174 0.25 494158 495153 494150 491152 488152 486156 487159 490162 493160 494158 0.25 484214 479211 476212 467214 458216 447216 439218 435219 430222 424230 418227 413223 410222 408224 405229 397232 393235 392240 396248 398251 404254 413253 423250 429248 436242 445237 450229 467222 484214 0.25 450113 449108 448105 450101 447097 444096 441095 438096 432098 431100 431104 428108 426111 428115 432116 435116 440115 446116 450113 0.50 505882 505871 505865 503858 500849 495842 491835 490831 486829 476825 465819 455813 452806 447796 449791 449786 445779 440776 434773 430771 425767 423762 421756 420750 416746 411745 405747 392753 384756 378759 370764 362769 351777 342788 335797 332802 331808 330824 328830 327837 325842 322848 316860 314865 313871 314876 317877 321877 331869 345861 352859 359858 383858 395857 402858 407864 411867 417869 419871 421874 423884 424903 430905 437905 441905 449907 459911 472916 479916 486913 491911 494909 499900 504889 505882 0.50 453163 454159 453155 452155 450153 447152 444154 442157 444159 446162 447162 449165 452165 453163 0.50 445109 444105 444104 441101 438101 435103 434104 433108 435110 438111 441112 444112 445109 0.50 425238 422235 419233 414231 412229 410230 406233 402234 398236 396237 396241 399246 402249 408249 411248 414246 419244 424242 425238 1.00 488884 487880 483874 479871 476870 471872 465874 457868 454866 451868 448873 447878 448881 454881 457884 460885 463884 466884 470886 474892 476898 478899 480896 483893 488884 1.00 429797 428791 426789 419785 414780 409774 408766 408758 402755 394757 385760 377764 369770 362775 356782 353788 349794 346798 346802 347807 346810 343818 341825 338833 330844 323857 321865 323868 327867 339859 347854 356852 362851 370852 379851 387848 404844 408837 410830 412826 411821 412815 414812 425804 429797 1.00 416240 416237 413236 410236 408237 409241 412240 415240 416240 1.50 406788 402784 397782 390772 389769 385765 378768 371772 366777 363781 360785 357793 357800 353810 349822 344832 335841 328851 328857 332858 343850 352844 360836 360828 360822 372814 380805 386794 391791 396793 400793 404792 406788 2.00 384788 381785 376784 377779 379775 376775 370778 367781 364786 374785 372789 374792 372794 367797 362801 360805 361810 365811 367810 370808 373804 376799 379794 382793 384788 2.00 354831 354828 352827 349828 347830 347832 345835 343836 342836 340840 338841 338842 338845 339845 341845 344844 347842 348841 349840 351837 352836 353834 354831 24HR QP VT 18/00Z 0.01 508681 505673 502665 499661 495653 488642 483633 479628 475624 472622 464619 456617 446618 437621 432624 427626 415635 405642 401646 397651 394654 393659 390662 387664 382667 374675 367682 359691 357697 353701 344710 312737 298753 283768 280772 277775 275779 275783 279793 282794 288793 296790 305785 321794 330794 341789 350788 360784 367787 371790 376790 384792 383796 380798 377802 371808 364814 361817 362820 363824 369825 375826 378829 382832 386834 392833 397830 405827 410827 418827 427829 431830 434836 434849 436857 438860 444862 449863 453865 458869 462875 464881 466888 470891 477894 484901 491909 498916 502920 507920 520917 526914 528906 532895 535882 535877 534867 531846 527828 524817 522812 516798 509777 504761 503757 504752 504746 506732 507720 508711 507698 508681 0.01 535196 536174 536159 536151 535147 530127 528116 525105 523098 520089 519069 516047 513026 512014 509006 500990 496982 490979 483976 476972 469962 462953 455947 450944 445942 442941 439942 435946 434948 433953 433964 433968 432974 432980 434987 440993 445997 448003 452021 453031 453040 447054 442056 439052 437045 434039 430032 426031 423029 417028 409030 403034 404042 409049 410052 409053 398053 388059 384062 381068 376069 374072 372077 372083 376088 381092 385093 389090 393089 395090 401096 402101 400106 397109 395111 392110 387113 381116 377120 375123 376127 378128 382128 388127 390126 394127 400130 405131 408129 411128 414130 414136 413141 411149 411160 413169 412177 412186 412191 410194 407198 404200 400200 396201 393206 394213 398219 400224 397230 394232 393238 392249 394257 399264 401266 403265 406263 410257 416255 421252 431248 435246 439240 447231 449226 449219 447211 444207 438208 433205 431200 431193 433190 435184 435171 436168 439169 443172 447187 451189 453189 456185 457178 457171 457168 461165 467162 473162 481164 484167 484172 484180 485185 490193 491200 480205 477208 473211 473214 473222 474224 470234 470239 470246 471249 474255 482258 486264 491274 492278 495282 498283 509289 513285 517274 519250 519244 521235 522227 522221 523215 527212 530206 533202 535196 0.01 479116 480107 478101 473090 471076 468064 465060 461059 458060 454064 456079 456083 454089 466103 467110 464115 458119 455119 452121 447121 440120 437121 433125 431133 434136 437139 440140 443141 447142 454143 457142 462141 471122 476121 478118 479116 0.01 433088 433084 433081 433080 431076 431072 430069 427068 425072 424076 424079 424080 427083 428084 430086 433088 433088 0.01 325928 323924 320921 317917 313914 310914 305915 302917 300921 301925 304929 308931 311932 316933 319933 322932 325928 0.01 274806 271800 269798 265796 261793 258792 253793 251796 250800 251802 254804 257806 261808 264810 270810 273809 274806 0.25 496686 495679 493672 488658 485652 481646 478641 474637 470632 463629 456626 449625 443627 435630 426636 421640 416646 414654 412659 409662 402668 394674 385679 380681 376685 371692 365701 356714 349718 341725 331738 321752 320759 320764 324769 328771 333775 340778 347776 356771 361768 368766 375765 382765 388766 395770 407775 412776 416775 426772 449786 453793 453805 452809 454816 459831 461839 466848 476862 482867 487875 492884 499891 505892 508891 511885 514879 515872 515866 513840 512832 510824 506809 501806 497809 495813 492817 487811 483798 481790 481783 482773 484760 487740 492723 497701 496686 0.25 522187 523175 525162 524150 523144 520136 516128 513122 511114 510107 510094 509072 506052 503036 501029 497021 493017 487017 483022 481024 481030 481041 482046 488065 491081 494096 497113 496123 492130 487131 483134 485140 488148 496158 502172 505177 509181 517188 521189 522187 0.25 450113 452109 451105 450099 447096 441093 438094 436096 432097 429103 426105 424108 425111 429114 435113 441114 446116 450113 0.25 425243 427235 426230 423230 420230 417232 415231 411230 408232 404235 401239 403245 408248 414247 417247 422245 425243 0.25 421119 421115 420114 417113 414113 412112 409113 407114 406115 404117 406118 408120 411120 414120 417120 420120 421119 0.25 412072 412068 410066 407066 404068 407070 409072 410072 412072 0.50 490686 488677 483671 479669 473669 469668 464665 461662 459654 457641 454633 449631 445631 440635 435639 432643 430650 429656 426662 422667 413673 408677 406680 401684 396686 385688 379691 376696 376701 371705 367710 365715 365721 363728 357731 351734 346737 338745 330754 331760 332764 335767 338769 342770 346770 353767 366761 375757 385757 394760 404764 413767 416766 421763 427761 431764 435771 441773 445772 451769 457767 461767 464767 467765 471759 475752 478746 482722 486712 488702 490686 0.50 507867 506858 504849 502841 497838 494838 491838 489842 487848 487852 489860 491865 494870 498875 501877 505879 507872 507867 0.50 447109 447108 446105 446101 444099 441097 438097 435100 434104 435108 438110 441111 444111 447110 447109 0.50 379731 378731 375730 374730 372730 368730 366731 365735 368737 371737 374737 377736 379732 379731 0.50 420241 419238 416237 413238 411238 410239 408241 409242 412243 415243 416243 418242 420241 1.00 458679 455673 452670 448669 445669 439675 435679 431689 430696 427702 425704 422706 417707 413710 411714 407721 409727 407733 405743 405747 406754 409759 413760 416759 420755 426749 431746 435742 436738 436732 443715 450707 454700 457694 457689 458679 1.50 442701 441700 438702 438704 440705 441701 442701 1.50 430732 428728 427725 424722 420723 418725 416728 416732 416737 414742 411748 411752 415753 420749 422745 424740 428736 430732 24HR QP VT 19/00Z 0.01 477692 473692 470693 463696 458696 452698 446703 440708 434716 430719 426723 425726 422726 418726 415731 412742 409755 397805 392821 391827 392831 396838 397841 396845 395857 390872 388879 388884 389889 390893 390894 385906 383913 383918 386923 391927 397923 400918 403916 411925 415928 417929 421927 425922 426916 425906 423899 421894 422889 424884 432871 435865 437859 440830 441813 441807 443800 446792 446786 444778 440770 444763 447756 451742 455728 456723 460716 466711 470703 474698 477692 0.01 530189 531177 530169 528158 527153 524149 508131 503121 500115 497110 492105 489100 482089 468062 467046 468037 468028 467020 466014 460001 456984 455977 452969 447955 437942 433937 429935 422942 420949 419955 419969 416981 414988 410994 401024 398038 401043 403047 402050 394057 390060 387058 384061 378068 374074 372078 372083 377087 379094 384100 389104 389109 385112 376117 373121 370129 368135 370140 369148 371154 376163 383175 384177 383182 376183 371180 364179 358177 353181 348179 346176 342167 328163 326166 327169 333171 337175 339181 341189 343196 345199 349200 349197 349193 350190 356189 360192 364196 366200 368204 368208 361207 357204 354203 351206 350209 354215 357222 362232 367234 373236 381242 385246 388250 394255 401254 410253 421259 424259 428255 432251 444228 449228 453231 454239 454242 456244 461249 467248 473250 476252 481258 485264 488268 492271 497274 503277 507278 508276 516267 517260 515252 513240 508225 503210 503204 505197 511196 516196 521197 525194 530189 0.01 504840 503832 501826 498819 491799 486787 485774 481752 478746 476745 473744 471745 468752 466762 466772 466781 469793 473800 479810 480816 482828 484840 487848 491856 497856 500852 503845 504840 0.01 507082 508076 508070 508060 505041 501027 500024 500019 503013 505005 503999 497989 495979 494970 491956 488945 486940 481938 478939 475941 471946 469951 469960 470969 473977 472981 468985 465992 466002 469008 472014 475020 483046 488061 491072 495080 499083 502085 505084 507082 0.01 478203 479199 478195 476191 473188 467187 464187 461192 457196 454199 451200 447204 445207 447209 450212 452212 458211 461211 466209 471206 474205 478203 0.01 425795 422796 419798 417802 416804 415805 413809 414811 417810 419807 419806 421802 421801 422797 425795 0.01 366889 366884 364879 358877 356880 353886 352893 352904 353912 354918 357921 359920 365915 366907 367900 366890 366889 0.25 510175 511168 511161 509153 503148 499149 498154 497158 493162 487164 483164 481166 478167 478168 485174 492179 497181 503181 507179 510175 510175 0.25 437758 435755 434754 433756 432757 430759 427762 426764 426766 425770 427771 430769 432766 433765 434763 436760 437758 0.25 475163 474158 473158 472158 471162 472164 475163 0.25 462110 462106 461102 459095 456089 448091 442089 438089 436092 433092 430089 426085 423086 422089 424095 425100 421103 418105 415102 415095 417090 415087 418080 421075 424072 429069 433072 435074 437073 436067 433060 433052 435047 439044 443040 444035 446027 448023 452017 451011 448995 445983 442980 437981 434985 432989 430996 430004 430008 428012 426016 420026 420033 420044 414053 411056 407059 401064 395072 389071 388074 389077 392081 401087 404091 405096 404101 398108 392114 385118 382121 379126 375128 375134 382128 392125 397124 402126 413130 414133 414141 413146 410149 406149 401151 397157 397163 393169 395174 414184 418185 422189 422193 419196 416197 410192 405193 401195 397196 392195 382192 372186 365183 362186 375199 385214 385217 384221 381223 381230 385234 388239 392243 397247 400248 404248 412246 417246 423246 425245 428244 428242 426238 423233 419224 418218 417213 420210 424209 425204 426200 424183 424174 430172 432168 434162 437157 438153 438149 434144 432140 432132 434124 437120 443120 446122 451122 462110 0.25 442219 440217 437215 434215 431216 428218 427219 424222 422225 423228 425226 427224 430224 433223 436222 437222 439220 442219 0.50 454109 454102 453097 447095 442094 438094 435096 429092 427093 429100 426104 422107 421111 415112 411111 411106 410101 406101 403108 399113 400117 403121 408123 417123 423120 428121 430119 435116 440115 444116 448116 452113 454109 0.50 422241 419237 416234 413236 408234 402232 396232 394237 395241 400245 406246 409244 413243 418243 422241 0.50 412227 415223 415219 414213 409206 403204 398203 392200 387198 381198 378194 375191 370189 368186 365185 368187 370191 378198 383205 385209 390213 393216 398219 404224 406228 409229 412227 0.50 420166 422162 422158 422154 421151 420150 419146 418145 418146 416149 415152 414153 413157 411160 414165 416167 420166 420166 0.50 416072 416068 415064 412062 410063 407064 407065 404067 403068 403072 403076 404076 407079 410078 412077 414076 415073 416072 1.00 447109 447105 447104 445101 444100 441099 439100 438101 436104 435105 433108 435110 438110 441110 444111 447110 447109 1.00 403213 402211 400209 397207 394205 392204 389203 386205 388208 389209 391210 393212 396213 399214 402214 403213 $$