QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS HYDROMETEOROLOGICAL PREDICTION CENTER CAMP SPRINGS MD 539 PM EDT SAT APR 23 2011 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID APR 24/0000 UTC THRU APR 27/0000 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR DAY 1... 18Z UPDATE... INCREASED AMOUNTS ACRS NCNTL TX EARLY IN THE PD WITH AIRMASS HAS BECOME QUITE UNSTABLE THERE NEAR COLD FRONT WITH CELLS BEGINNING TO DVLP OVER THE PAST HR. ELSEWHERE..ONLY MINOR ADJUSTMENTS WERE MADE TO PRELIM GUIDANCE BASED MAINLY ON SATL/RADAR TRENDS. ERN PORTIONS OF THE SRN PLAINS...ENEWD INTO THE MID MS VALLEY AND OH VALLEY... THERE IS VERY GOOD AGRMNT DAY 1 WITH THE AXIS OF THE ONGOING HEAVY PCPN EVENT FROM ERN PORTIONS OF THE SRN PLAINS...ENEWD INTO THE MID MS VALLEY AND OH VALLEY. NOT A LOT OF MOVEMENT EXPECTED TO THE STNRY FRONTAL BNDRY CURRENTLY SITUATED ACRS THIS AREA...WITH AN AXIS OF ABOVE AVG PW VALUES...1-2+ STD ABOVE THE MEAN..REMAINING IN THE VICINITY OF THIS BNDRY. THE COMBINATION OF ABUNDANT PW VALUES...WELL DEFINED BNDRY LAYER CONVERGENCE/MOISTURE FLUX INTO THE BNDRY AND FAVORABLE UPR DIFFLUENCE ALOFT ALONG THE BNDRY WL PROVIDE FOR A VERY FAVORABLE PATTERN FOR HVY TO EXCESSIVE RAINFALL AMTS. CONFIDENCE IS HIGH WITH THE OVERALL HVY PCPN FORECASTS DAY 1..ALTHOUGH LOWER WITH THE TIMING DETAILS AT THE 6 HR TIME STEPS. GIVEN THE OVERALL VERY FAVORABLE PATTERN FOR HVY RAINS...DAY 1 QPF LEANED TOWARD THE HEAVIER IN HOUSE PSEUDO BIAS CORRECTED ENSEMBLE MEAN. WIDESPREAD 1-3" AREAL AVG PCPN AMTS DEPICTED ACRS THESE AREAS..WITH ISOLATED TOTALS OF 5"+ POSSIBLE. THIS MAY ESPECIALLY BE SO INVOF FAR NWRN AR INTO SRN MO WHERE THE MOISTURE FLUX ANOMALIES INTO THE BNDRY ARE MOST PERSISTENT. GTBASIN INTO THE CNTRL TO SRN ROCKIES... ABOVE AVG PW VALUES...1-2 STD ABOVE THE MEAN...EXPECTED ACRS THE GTBASIN INTO THE CNTRL TO SRN ROCKIES. SHRTWV ENERGY ROTATING THRU THE BROAD MEAN TROF OVR THE SWRN U.S. WL ENHANCE LARGE SCALE UVVS IN THIS ABOVE AVG PW AXIS. THIS WL SUPPORT WIDESPREAD PCPN ACTIVITY OVR THE GTBASIN INTO THE CNTRL TO SRN ROCKIES REGION. THE OPERATIONAL AND SREF GUIDANCE IS IN GOOD AGRMNT WITH THE HEAVIEST TOTALS INVOF FAR NWRN NM INTO SWRN CO...WITH AREAL AVG .50-1" AMTS DEPICTED. AREAL AVG LIGHT TO MDT AMTS EXPECTED ELSEWHERE THRU THE GTBASIN. PAC NW INTO NRN CA... NERN PAC HT FALLS WL PUSH EWD INTO THE PAC NW/NRN CA AREA DURG SUN. THE LOW LEVEL FLOW IS EXPECTED TO VEER TO A MORE SWLY TO WLY DIRECTION DURG SUN. HOWEVER...WITH MODEST PW VALUES...PCPN AMTS SHOULD NOT BE SIGNIFICANT. THE OPERATIONAL AND SREF GUIDANCE IS IN AGRMNT WITH MODERATE PCPN AMTS....25"+ AREAL AVG AMTS FROM COASTAL WA/OR...OR CASCADES...THE NRN SIERRA AND NWRN CA COAST RANGE. THE DAY 1 QPF DID NOT DEVIATE FROM THESE AMTS. DAY 2... ...PAC NORTHWEST... A NEW UPR LVL TROF WILL BE DIGGING INTO THE REGION AS SHRTWV ENERGY ADVANCES ESEWD FROM THE GULF OF AK. WARM ADV PCPN EARLY WED...FOLLOWED BY PERSISTENT ONSHORE FLOW IN THE WAKE THE ASSOCIATED COLD FRONT WILL PRODUCE LGT/MDT AMTS ALONG THE WA/ORE/FAR NRN CA COASTAL RANGES INTO THE INTERIOR NORTHWEST...INCLUDING THE CASCADES. ...INTERMOUNTAIN WEST/ROCKIES... HT FALLS WILL AGAIN CONTINUE TO TRAVERSE THE INTERIOR WEST AS AN UPR TROF SLOWLY ADVANCES EWD OUT OF THE GREAT BASIN AND THROUGH THE CNTRL/SRN ROCKIES. MDT OROGRAPHICALLY ENHANCED SHWRS ARE EXPECTED ESP FOR THE CO HIGH COUNTRY WITH THE AID OF FAVORABLE UPR LVL JET DYNAMICS AND STEEPENING LAPSE RATES. ...SRN PLAINS/MID MS VLY INTO THE OH VLY/LWR GREAT LAKES/NRN MID-ATL/NORTHEAST... NO MAJOR CHANGES THE PREV THINKING AS THE SAME SYNOPTIC SCALE SET-UP THAT EXISTS IN THE DAY 1 PD WILL BE IN PLACE SUN NIGHT AND INTO MON...CONTRIBUTING TO AN ENHANCED HVY TO EXCESSIVE RAINFALL THREAT AS A STALLED FRONT WILL REMAIN FOCUSED FROM THE SRN PLAINS NEWD UP ALONG AND JUST NORTH OF THE OH RIVER VLY AND INTO THE LWR GREAT LAKES/NRN MID-ATLANTIC/NORTHEAST REGIONS REGION. EXPECTING THAT THE FRONT OVER THE MID MS VLY REGION AND LWR OH VLY WILL AT LEAST ATTEMPT TO SLOWLY LIFT NWD LATE AS A WARM FRONT IN RESPONSE TO GRADUALLY LOWERING HEIGHTS OVER THE CNTRL/SRN PLAINS WHICH SHOULD HELP TO BACK THE MID/UPR LVL FLOW SOMEWHAT MORE DOWNSTREAM TWD THE OH VLY. MODELS HAVE BEEN TRENDING A LITTLE DEEPER WITH THE TROF AND A LITTLE FURTHER N WITH THEIR DOWNSTREAM AXES OF HEAVIER QPF FROM THE MID MS NEWD AND THEREFORE THE HPC FORECAST TRENDED SIMILARLY. ECMWF/GFS GENERALLY AGREE THAT A SWATH OF HEAVIER RAINS DEVELOPING ACROSS THE MID MS VLY EARLY MON WILL BE CARRIED NEWD ALONG THE BNDRY TWD THE LWR GREAT LAKES ALONG WITH SUPPORTING MID LVL ENERGY AND RIGHT ENTRANCE REGION DYNAMICS. HOWEVER CONDITIONS WILL REMAIN UNSETTLED BACK ACROSS THE MID MS VLY AS ENHANCED LOW LVL SUBTROPICAL MSTR TRANSPORT AIDED BY S/SWLY H85 FLOW OF 50 TO 60 KTS CONTINUES TO INTERSECT THE BNDRY. GFS/ECMWF BOTH SHOW THE REDEVELOPMENT OF HEAVIER RAINS ACROSS THIS REGION LATE MON AS THE AFOREMENTIONED SHRTWV MOVING ACROSS THE CNTRL ROCKIES SWINGS OUT INTO THE CNTRL PLAINS. HPC FORECAST REFLECTS A BLEND OF THE GFS/EMCWF WHICH WERE IN REASONABLY GOOD AGREEMENT THRU DAY 2. WIDESPREAD TOTALS OF 2-4 INCHES WITH LOCALLY HEAVIER AMTS ARE EXPECTED FROM NERN OK TO CNTRL IND...WHICH GIVEN THE PREEXISTING SOIL CONDITIONS AND A PRECEDING DAY 1 FORECAST FOR HVY RAINFALL AS WELL...IS EXPECTED TO RAISE A SIGNIFICANT RISK FOR FLASH FLOODING. DAY 3... ...NORTHWEST/INTERMOUNTAIN WEST... AMTS ACROSS THE NORTHWEST/NRN CA SHOULD BEGIN TO WANE THIS PERIOD AS THE AFOREMENTIONED SHRTWV AND TRAILING ENERGY MOVES INLAND FOLLOWED BY RISING HEIGHTS ALONG THE COAST. FARTHER INLAND...ALREADY LOW HEIGHTS AND FAIRLY STEEP LAPSE RATES WILL CONTINUE TO FOSTER NUMEROUS SHWRS FOR THE HIGHER TERRAIN ALTHOUGH AMTS FOR THE INTERIOR AND INTO THE NRN/CNTRL ROCKIES. AS THE MID LVL SHRTWV/UPR TROF DIGS INTO THE FOUR CORNERS REGION ON TUE...LEFT-EXIT REGION JET DYNAMICS AND OROGRAPHIC LIFT SHOULD HELP PRODUCE ANOTHER ROUND OF MDT AMTS ACROSS WRN CO. ...MS VLY/GREAT LAKES/NORTHEAST.... AN UPR LVL TROF WILL BE EJECTING OUT ACRS THE PLAINS THIS PD AND SHOULD AMPLIFY GRADUALLY WITH A CLSD MID LVL LOW CENTER EXPECTED TO LIFT TWD THE UPR MIDWEST BY EARLY TUES. A SWATH OF LGT TO MDT PCPN ASSOC WITH THE DEVELOPING MID LVL DEFORMATION ZONE SHOULD BE LIFTING FORM THE MID MS VLY INTO THE UPR MIDWEST AS WELL. MEANWHILE...SFC LOW PRESSURE OVER THE MID MS VLY LATE MON IS EXPECTED TO SLOWLY DEEPEN AND LIFT INTO THE UPR GREAT LAKES ON TUES...AND THIS WILL ALLOW THE STATIONARY FRONT ALONG OR JUST NORTH OF THE OH RIVER VLY TO SURGE NWD AS A WARM FRONT THRU THE LWR GREAT LAKES/NORTHEAST. A COLD FRONT ATTENDANT TO THE SFC LOW WILL BE ADVANCING EWD OUT OF THE SRN PLAINS AND WILL CROSS THE MID MS VLYS AND DROP S INTO THE LWR MS VLY...WITH THE MODELS SHOWING CONVECTION DEVELOPING AND ADVANCING EWD OUT AHEAD OF IT. UNFORTUNATELY...BOTH FRONTS WILL REMAIN SIGNIFICANT FORCING MECHANISMS FOR WIDESPREAD AND ORGANIZED CONVECTION...WITH VERY HVY RAINFALL AMTS ONCE AGAIN PROGGED TO IMPACT VERY SOAKED/SATURATED AREAS OF THE MID MS AND LWR OH VLYS. COLD FRONT IS EXPECTED TO STALL LATE IN THE PERIOD ACROSS SRN MO/NRN AR BACK INTO THE PLAINS AS THE LOW LVL FLOW BEGINS TO BACK AND STRENGTHEN ONCE AGAIN AHEAD OF THE SHRTWV TROF DIGGING THRU THE INTERIOR WEST. MODELS SHOW AN UPR JET COUPLET AIDING IN THE FORMATION OF HVY RAINS ACROSS THIS REGION LATE TUE. AGAIN...CONTINUED TO FOLLOW A BLEND OF THE ECMWF/GFS. MODELS BEGIN DIVERGE SOME WITH RESPECT TO THE TIMING OF THE LOW LIFTING THRU THE GREAT LAKES. PROGRESSIVE NATURE OF THE UPSTREAM TROF MOVING THRU THE WEST WOULD FAVOR THE FASTER GFS...HOWEVER IT LACKS THE SUPPORT OF THE ECMWF/CMC GLOBAL/UKMET/NAM WHICH ARE ALL SLOWER. ORAVEC/SULLIVAN/PEREIRA GRAPHICS AVAILABLE ON THE WEB AT WWW.HPC.NCEP.NOAA.GOV 24HR QP VT 25/00Z 0.01 481674 466652 462645 459642 454634 450632 442631 439631 434635 424641 415651 411658 403666 399673 398676 398681 396702 395711 394721 390731 386742 381765 380787 379796 377805 362872 359884 356895 352904 347914 339929 329944 320956 316962 311969 304981 300986 298989 297992 298995 303004 314006 322011 328010 333008 367997 372003 374006 375012 371018 366027 364036 363040 361044 354058 352065 352074 354089 356103 360114 362125 367131 371137 375148 379164 381174 380180 378185 374184 370186 368190 370193 372196 382209 401223 396228 393233 393237 394244 396247 403253 405256 409257 413256 420258 429263 438266 448267 456268 464269 474271 481276 489283 491285 496285 503286 507283 511280 513273 514263 513256 511245 507234 503223 497213 494210 489208 480208 472207 467206 464203 460178 452165 449161 446155 442145 424130 418123 418116 419109 418095 418084 425069 427060 427051 427048 429044 437045 443045 445042 445035 444027 431008 427998 422985 413963 410954 410946 411943 412934 413929 413923 412913 411906 412899 416857 418831 419819 422807 429785 435777 441771 455756 462751 467741 476724 478721 480715 482712 482704 481674 0.01 335888 334885 333885 330885 328885 325886 322887 320889 317892 317893 318894 321895 324894 326893 329892 332891 334889 335888 0.01 302831 298826 294823 289820 284818 277814 267809 258808 253811 250815 253822 256825 265828 276830 285832 295835 301834 302831 0.25 501271 494252 492244 490240 488238 486237 484238 482236 480233 475231 470231 467231 465230 463218 458215 452215 445215 440216 435214 426211 423211 420213 418216 417222 417228 419233 422236 427239 447247 456249 464251 475255 481258 492265 497271 501271 0.25 417674 414674 411679 409685 407690 406695 405699 403704 403711 405714 408716 411714 412711 414706 415700 416695 416688 417683 418678 417674 0.25 415762 413757 412754 408754 403761 401767 397777 392789 387795 385798 383802 380815 375838 363890 353917 349927 343938 335949 329959 324968 317976 314982 314991 315994 318996 323997 329997 336995 346991 355989 361986 366982 369977 374965 378956 384942 389929 392918 395903 406849 409831 412816 414805 415792 416774 415762 0.25 404064 403057 400053 393051 386052 375055 367057 364061 363067 364072 367086 369093 372098 377104 380106 385103 389098 395087 401076 404069 404064 0.50 412789 409780 407776 405776 401779 398784 393792 386800 381824 378836 376845 372859 370869 368879 365890 358913 355923 351933 329965 322976 320980 319986 322989 327990 337988 349984 359979 366973 370964 381942 384933 387922 393896 397875 402848 406828 409815 411805 412796 412789 0.50 396076 395068 389064 386064 385068 380068 375065 371064 370068 371079 374086 378090 382092 386091 390087 393079 396076 1.00 404797 402792 400791 397793 392799 387808 385817 380839 376856 373868 370879 365897 360917 357925 354935 350944 345952 339956 333964 330972 332977 336979 347977 353974 363967 368959 372953 375944 380933 382922 387904 391881 395861 403818 405805 404797 1.50 400803 398799 394802 391808 386822 382841 378856 374872 370888 365905 362919 356936 351950 348959 349961 351964 354965 359964 363961 369954 372946 377933 384899 388881 391865 392854 394845 397829 400815 400803 1.50 341966 342962 340962 339963 338964 336967 336970 338970 339970 341966 341966 2.00 395818 394814 392816 389822 386833 384843 382850 378861 375876 372888 365915 360931 356942 354950 355955 357958 361958 365956 368952 373938 376926 382895 385882 388867 389859 390851 392838 395818 3.00 382877 381873 378877 378878 376881 376882 375887 374891 373894 373895 373898 374902 373906 375906 376905 377901 378897 379894 379892 381888 381885 381881 382879 382877 3.00 374913 374909 372906 371912 370917 369923 367927 365930 363936 361941 361947 362949 365950 367947 368943 369939 371932 371928 372924 372917 374913 24HR QP VT 26/00Z 0.01 522265 523262 521255 517249 515241 512232 510225 511219 514213 520211 523213 527216 531216 533212 532201 529180 527170 523162 519162 514158 508151 500151 496145 492139 486134 482130 479129 474123 475118 478115 485112 491112 495108 491103 489096 488090 491082 480079 468085 460090 452091 444089 425089 427092 427096 424100 418103 415103 413101 408098 405098 403102 396104 391108 387108 385102 386097 388097 393099 397100 399098 402091 407086 412083 416080 418076 421071 428070 432076 436080 441079 444078 447081 451084 453083 453076 442068 439068 435065 432064 432058 433052 434052 440054 444055 448054 456053 463055 470056 474051 476046 479029 482025 487026 493029 499032 504027 497016 496990 496987 495984 493982 489978 484978 481980 476983 468996 464001 456003 450003 447999 443994 442991 442988 442982 443974 443969 442963 441956 439943 439935 438923 442906 443902 443895 442890 440886 436881 435874 441859 448842 448835 452828 456818 457812 457798 457788 456782 452743 449726 448720 446714 440710 434704 430687 415655 409650 407649 403653 397668 393683 391698 390703 387711 385717 384724 382733 381737 375749 374754 376760 378763 382764 384772 385778 385785 384792 382798 373808 360813 353817 349821 337831 318852 316859 317864 322868 329866 337859 345850 355842 358837 363831 370828 373827 373830 372844 370857 369862 367867 359882 352893 345903 337913 334919 330923 326926 323931 319935 315940 308949 299962 295967 294970 294974 292981 290987 283997 284006 287012 290018 292020 296020 300022 303023 305022 317017 325008 332006 336005 341005 353009 358015 360022 360027 362032 366038 368045 366047 364050 358054 355060 353064 352068 352077 350083 348085 346092 343097 341105 341109 343113 345117 354124 358126 362125 365121 368115 372111 378111 379114 377118 374124 373129 375134 379134 381133 392124 398124 399132 390138 388143 389149 389157 388164 386169 387173 389179 393182 397183 403181 406182 408187 408194 405199 402201 394200 382196 380197 378201 380207 384214 392217 394218 396221 395223 391223 383221 379217 376216 374216 369219 370228 372235 372238 375241 379245 390255 391264 391271 393274 397278 400284 404287 407291 411291 422284 432277 447273 453271 456273 460275 464281 473285 487292 492295 500296 503295 508294 512290 0.01 375057 372057 369056 367056 364058 367059 369059 372058 375058 375057 0.01 301821 292811 282802 274795 267792 261792 255792 251794 248797 246801 244808 242813 242817 244821 249819 253818 257822 263826 269827 275827 282825 289824 295824 299824 301821 0.01 310898 310895 306892 303890 297892 295895 293897 291900 292905 295907 301907 303907 307906 309902 310898 0.25 506277 502261 500250 498241 503238 503234 502229 497213 492205 488202 483202 471208 464208 457211 449212 443213 438214 435213 432209 430203 427201 421201 417204 414212 407215 404215 400212 404219 404223 403228 399235 399240 400244 405250 409254 418260 432257 445256 452256 460258 474267 481270 490275 496278 502278 506277 0.25 502178 501173 498170 496167 493165 490164 487164 485165 484166 481168 480168 480173 483176 485178 486179 489180 491182 494185 497186 500182 500181 502178 0.25 445757 443750 440747 436749 434751 430751 426750 422745 416747 411750 406755 405760 402771 399781 397793 392811 391825 388836 385845 381853 372873 363890 359901 354910 349919 344924 330941 319953 314963 315969 314977 306991 307998 310001 313999 315995 319985 323979 326975 331973 336973 339976 344985 347989 351991 363987 365987 370990 373993 374001 374007 375014 378018 383020 386024 387031 388036 387040 386046 389057 387062 384068 381070 377068 372067 373075 375083 378086 386083 390082 395082 399080 403076 410071 410063 412053 422037 424031 426027 426023 423017 420012 415003 412992 411987 412984 414979 416974 418967 418954 417949 413945 406939 406935 408929 414909 418895 422885 426875 429864 437842 439831 441821 444807 445793 446783 446773 444763 445757 0.25 411683 410680 406680 406683 405685 405688 405692 405693 405697 405700 405701 406705 407705 409702 410698 411697 412692 411688 411684 411683 0.25 465161 467155 465150 460148 456149 450155 446160 445164 445170 446179 441186 440191 442199 448197 453193 455181 455175 454172 454168 458165 464162 465161 0.25 430175 427175 430177 430175 0.25 264806 263806 261804 259803 258803 256803 254804 252808 253811 253812 255813 257815 258815 261817 263816 263817 264816 265813 264810 264808 264806 0.50 494263 495259 494254 492248 490244 487240 484241 481240 479237 476235 473236 470234 468231 468225 472220 472218 470214 467213 461214 458215 452215 434220 420233 417232 414232 411234 410237 409244 411247 416251 423252 427251 445249 465248 470252 473255 478260 484261 491263 494263 0.50 441795 441790 439786 435783 422788 412788 405795 400809 394829 389844 380864 375875 370884 365894 362906 356917 349925 344933 338942 336948 335955 336962 338966 344977 348981 352982 361979 366976 370972 376968 382966 385966 390968 393972 396979 398981 401979 405969 405965 404962 399960 397943 397936 400931 405919 409909 413896 417883 422871 429847 435820 439807 441795 0.50 409026 410022 408019 406015 405014 402012 401015 401019 403022 403023 405026 406027 409026 409026 0.50 404008 403004 401002 399001 398000 398001 396005 399008 399009 402011 404008 0.50 393076 392074 391072 389071 389072 389076 392076 393076 1.00 460224 462220 460219 457218 455218 454218 454220 457223 458224 460224 460224 1.00 454239 452236 449236 446237 446241 448242 451241 454239 1.00 429806 427803 423803 420806 417810 414817 409826 398840 393847 390855 383870 379879 375886 368900 362917 359924 354932 350939 347947 345955 346965 347968 349972 353973 358971 372962 378956 382951 392936 399921 403912 405904 410886 416869 421850 425831 427820 428810 429806 1.00 427243 427242 424241 421240 419241 421243 424244 427243 427243 1.50 417836 406840 400846 397851 391863 385876 379887 374898 363923 356935 353947 351956 351962 352964 356965 359965 363962 367960 372955 380944 388934 391928 394922 399909 403895 404888 406881 412866 416854 417846 417837 417836 2.00 410855 410851 408849 404854 398863 392873 386883 376901 371910 366921 358941 356951 357956 360959 363958 368954 375945 388928 392919 396907 398896 401884 405874 408863 410858 410855 3.00 388901 391895 391894 390892 387896 384900 383903 379908 374915 371921 368929 365935 364939 365944 369942 374936 379930 382925 385917 386909 388901 4.00 374928 376923 376922 373925 372928 373929 374928 24HR QP VT 27/00Z 0.01 487699 483687 478682 473679 469673 466654 464643 459638 454633 449632 444631 437638 427648 423651 419654 416656 412656 412659 412672 413698 414714 413721 412727 408744 406752 404757 396763 392768 394773 400775 400779 395786 389792 383796 371803 366805 363797 362791 365786 371775 372769 372763 371759 369759 364759 343762 332764 326768 322772 318776 308781 303782 298781 276778 270778 262779 255781 251787 245796 241805 240810 240814 243818 250822 292831 302831 309829 316828 328825 334818 336817 340819 341823 341831 342836 345843 344852 342856 337861 333864 328867 316866 307871 305875 304882 305884 309891 316900 317905 314910 306918 300925 293934 292939 291949 294955 296960 300970 304974 307975 313971 321972 327972 332969 336966 341966 345969 348972 351972 358966 365965 370961 373956 378957 383961 384965 380971 375975 369976 362978 358982 354986 352990 352993 350002 349006 351012 354017 357019 363024 365028 365034 364042 365051 366055 360061 357065 356070 357074 359079 363084 366089 368095 369097 372099 377103 382106 386105 386109 383112 378116 375122 374129 376133 385133 393132 395136 393140 392146 392151 392156 391165 389169 389173 394176 398175 404172 411171 419180 422185 425193 427201 433204 438209 437212 431213 425217 422224 422228 423230 421231 416235 414237 414242 415247 417252 422257 428261 436264 442265 456264 462263 470264 480266 485271 492275 501281 504281 507277 508272 512271 516267 519265 522265 523262 524256 522250 519248 517241 514233 511227 507221 505214 504210 506208 509208 514206 519200 527205 531199 532195 530191 527186 527180 528174 526170 523161 522158 522153 525150 525143 524139 522138 517135 507129 502127 498122 492118 490117 484124 477126 471124 471120 473116 478110 479107 479104 477098 479095 482089 485083 489078 492076 499075 507077 510076 517072 518064 508059 503055 499050 500045 504041 509037 514035 520033 523029 516015 512007 513999 511996 507996 497996 482993 478990 476984 475977 480968 484962 487954 490940 492930 492918 491902 491892 490882 490874 490866 492847 495815 498778 496758 493739 491718 487699 0.01 475198 476194 476190 473189 470189 467191 465191 464192 462195 461199 461203 462205 465205 467205 468203 471202 472202 475199 475198 0.01 432160 432157 431156 431152 431148 430144 430143 427140 427143 426147 427149 427151 428155 429158 430159 432162 432160 0.01 410003 410002 409999 407996 407994 405992 404992 401992 401993 401997 401000 401002 403004 405005 407005 410003 410003 0.01 398211 397207 395203 393202 392202 389199 387198 384198 382200 383204 386206 388208 389209 391210 393212 396212 398211 0.01 356187 356184 354182 351180 348182 345185 344189 345190 347192 350191 351190 353189 356187 0.25 484760 481743 478736 475733 472728 471722 468710 463696 460688 458683 455680 451680 448680 444683 435685 432690 430696 429702 428714 428725 427734 422754 419776 416794 403826 397836 390843 385844 382843 379840 376835 373833 368834 365838 361846 357852 335878 333882 332888 334898 335907 332916 325932 320939 317946 316950 321952 327950 332948 336949 342954 348961 351962 355960 360955 368950 375945 378941 380937 382929 384925 387923 390924 393927 398940 404941 412944 436966 442965 447962 455957 461954 466951 469947 472942 474936 475922 476902 475893 476888 476872 477861 479852 484831 486817 487808 488796 487781 485768 484760 0.25 492221 492215 489212 485209 479208 473209 461211 452214 440218 435220 433224 434229 437234 440239 446242 451242 463242 471241 478244 479242 479237 477230 479225 482223 487222 492221 0.25 484165 485160 482158 476152 468140 455130 449130 446137 442145 438149 437155 438159 439162 443166 447171 450179 450183 452188 455188 462182 463180 463174 462170 463169 469172 482169 484165 0.25 455110 454105 452101 448097 444095 438095 435097 432101 430108 428111 427115 429117 435118 440118 446121 449121 452119 455114 455110 0.25 454076 453075 451072 450068 448064 447063 446064 447067 449068 447071 447072 450076 450077 453078 454076 0.25 418119 418115 417114 415112 412110 410106 409104 406106 404110 403113 402113 402117 403119 405121 408121 411121 414121 417119 418119 0.25 414072 414068 412066 409064 407060 401057 392054 384061 381069 375069 373075 374083 378086 381087 384090 389091 392088 401085 404080 407077 411076 414072 0.25 396050 396046 395042 395041 392039 392038 389038 388039 386040 385043 384046 384050 386053 389053 392053 395051 396050 0.25 393001 394997 392995 389994 385995 381998 378000 375003 373008 372011 372014 375018 379021 383023 386020 388014 390009 392005 393001 0.25 392120 393118 395117 394115 391117 388118 386120 388123 391121 392120 0.25 349786 348785 346787 345788 343790 341793 339796 337798 337799 340799 343798 345795 346795 347792 348790 349787 349786 0.25 285794 284791 281789 280786 276785 270784 265786 261792 262794 261797 258799 255804 256808 258810 266807 270802 278798 285794 285794 0.50 482785 481777 479770 476763 474760 471757 467758 464759 463754 464745 464736 464726 463718 459714 453706 450704 445705 439706 435709 433713 432723 432735 431742 429750 428762 427771 427781 428792 432795 434794 437798 436803 433807 428809 426811 417819 412821 410823 406830 403839 399847 394853 386858 378860 371858 368855 364856 359859 353865 342877 337884 337891 341899 343904 337919 336923 337928 340940 343948 348952 351954 354953 360948 367944 374939 377934 380924 383916 386914 391913 410913 415913 417913 423915 430933 433939 435941 439943 442943 448942 452940 454935 455929 455920 459912 461912 462910 461903 457900 456893 456889 457883 464877 467868 469858 472850 478832 480821 482812 483796 482785 0.50 470219 470217 467215 464215 461215 460216 458216 455216 452217 448220 447220 448222 451224 453225 456226 459227 462226 464225 466224 468222 469219 470219 0.50 469158 469153 468151 466149 465148 463148 462152 461152 462153 464154 465157 467158 469158 0.50 401072 398070 395070 394068 392066 389066 387068 385072 384074 381075 384079 387079 389082 392081 395079 395078 398077 400076 401072 401072 0.50 381079 381075 378075 377075 377079 378080 381079 1.00 476798 474788 471782 466783 463787 456796 451799 447805 444817 441822 438826 430834 427837 421840 417838 413838 411841 406849 399858 392866 384873 374878 366882 360886 357889 348908 347912 346919 346923 347930 349934 352936 355934 358931 361931 365934 368935 371935 374931 375923 377913 381903 385901 389903 395902 400898 413882 419875 425872 431869 434874 438878 440879 442876 444871 444867 443864 441859 440856 442849 448847 452846 455844 458839 466831 469826 472821 475808 476798 1.00 450741 449740 447738 445737 442739 440741 440743 439748 440752 443754 444755 447753 448751 449749 450745 450742 450741 1.50 415861 413857 410857 405861 397868 392873 389878 387886 391894 395888 400883 406879 410873 414865 415861 1.50 373909 373902 371895 367893 364893 362895 358899 356903 355907 355914 359917 363919 366922 367924 370924 372920 373913 373909 $$