QUANTITATIVE PRECIPITATION FORECAST DISCUSSION NWS HYDROMETEOROLOGICAL PREDICTION CENTER CAMP SPRINGS MD 601 PM EDT WED APR 28 2010 FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION VALID APR 29/0000 UTC THRU MAY 02/0000 UTC REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR UPDATE... ONLY SOME MINOR CHANGES BASED ON LATEST RADAR AND 1800 UTC NAM/GFS MADE TO THE PRELIM DAY 1 QPF FOR THE FINAL ISSUANCE. ORAVEC DAY 1 ...WRN U.S. INTO THE NRN PLNS... POWERFUL ERN PAC TROF PUNCHING TOWARD THE WEST COAST WILL HELP CARVE OUT A HIGH AMPLITUDE UPR TROF ACRS THE WRN U.S. WITH LEAD HEIGHT FALLS AND LEFT EXIT REGION OF JET HELPING TO DVLP A CLOSED CIRC NEAR THE SRN CANADA/MTN BORDER REGION. THE CLOSED LOW AND RESULTANT DEEPENING SFC CENTER WILL PROVIDE A STG REGION OF DEEP LYRD ASCENT AROUND THE STORM CENTER..WITH FAVORABLE 85H-7H THETAE ADVN/CONV FOCUSING ACRS THE UPSLOPE REGIONS OF NW MT..MUCH OF IT IN THE FORM OF SNOW IN RESPONSE TO DYNAMIC COOLING. MODEL QPF AMOUNTS LOOK VERY SIMILAR HERE AND THE LONG DURATION EVENT SHOULD RESULT IN LOCAL 1 TO 1.5 INCH AMOUNTS OVER THE MORE FAVORED UPSLOPE AREAS OF SRN MT..IN LINE WITH BLEND OF NAM/GFS/00Z ECMWF AMOUNTS. SEE QPFHSD FOR DETAILS ON SNOW. AS UPR FLOW CONTINUES TO BACK ACRS THE PLAINS AND UPR JET SHIFTS SWD..EXPECT SECONDARY LEE LOW DVLPMENT TO BEGIN TO LIFT NEWD OUT OF THE CNTL PLAINS THUR MORNING. 85H WINDS ARE EXPECTED TO INCREASE TO BETWEEN 40 TO 50 KTS OUT OF THE SOUTH AHEAD OF THE WAVE..HELPING TO SUPPORT INCREASING ISENTROPIC LIFT ACRS PARTS OF THE ERN NRN PLAINS AND UPR MS VALLEY LATE WED NIGHT INTO THUR AIDING DVLPMENT OF SHWRS N OF ASSOCD WARM FRONT AND LOW PRES. MODEL QPFS HERE ALSO LOOK FAIRLY SIMILAR..AND DYNAMICS APPEAR SUFFICIENT TO SUPPORT A STRIPE OF .50 TO 1 INCH PLUS AMOUNTS NEAR THE DAKOTA/MN BORDER REGION DESPITE ONLY MODEST MSTR RETURN. ELSEWHERE ACRS THE WEST..THE DEEP TROF AND ASSOCD COLD AIR ALOFT WILL KEEP CONDS UNSETTLED WITH NUMEROUS SHWRS/HIER ELEV SNOWS FROM THE WEST COAST EWD INTO THE CNTL ROCKIES...WITH HIER AMOUNTS TIED TO BETTER OROGRAPHICS AND MAIN UPR JET AND 85H/7H CONVERGENCE ESPECIALLY THRU PARTS OF THE SRN WASATCH INTO THE WRN CO MTNS. OVERALL FAIRLY DECENT MODEL QPF AGREEMENT MOST AREAS AND SAW LITTLE REASON TO DEVIATE FROM A MODEL MEAN. ...NEW ENGLAND... COASTAL SHWRS AND INLAND SNOWS WILL GRADUALLY DIMINISH TONIGHT AS MAIN UPR LOW TRACKS EWD TONIGHT SOUTH OF NOVA SCOTIA. ANOTHER S/WV PIVOTING SEWD ACRS THE REGION ON THUR WILL LIKELY TRIGGER A FEW SHWRS/SNOW SHWRS..BUT SHOULD BE GENLY LIGHT GIVEN DRIER LOW LEVELS. DAYS 2 AND 3... ...GREAT BASIN/INTER-MOUNTAIN WEST THRU NRN/CNTRL PLAINS/MS VLY/OH-TN VALLEY... AN ANOMALOUSLY DEEP AMPLIFIED LONG WAVE UPPER TROUGH WILL MAKE ITS WAY SLOWLY ACROSS THE ROCKIES AND OUT ON TO THE PLAINS. AN IMPRESSIVE JET ROUNDING THE BASE OF THE UPPER TROF WILL ADVANCE FROM THE DESERT SOUTHWEST STATES TO THE CENTRAL PLAINS AND THE UPPER MIDWEST...HELPING TO SUSTAIN A MID AND UPPER LOW OVER THE NORTHERN ROCKIES. A NUMBER OF SHORT WAVE IMPULSES EMBEDDED WITHIN THAT FAST JET WILL HELP ENHANCE AREAS OF PCPN ON DAYS 2 AND 3. THE MODELS HAVE PRETTY WELL EVOLVED INTO TO TWO CAMPS OF THINKING WITH RESPECT TO THE SPEED OF A SFC COLD FRONT AND ASSOCIATED PCPN ABOUT THE TIME THAT THE FRONT REACHES THE MO RIVER BASIN THROUGH THE END OF THE PERIOD. THE GFS/NAM WERE ON THE FAST SIDE WHILE THE ECMWF/UKMET...AND TO A LESSER EXTENT THE CANADIAN...WERE SLOW TO MOVE THE FEATURES EASTWARD. WHILE THERE WAS A SLIGHT ACCELERATI0N IN THE ECMWF EASTWARD FROM ITS EARLIER RUNS...IT HAD MUCH BETTER CONTINUITY THAN THE GFS OR NAM RUNS. IN ADDITION...THE NCEP MEANS WERE MORE IN LINE WITH THE ECMWF RATHER THAN THEIR OWN OPERATIONAL MODELS. CONSEQUENTLY...OUR MANUAL PROGS DEPICTED SEVERAL POCKETS OF MODERATE TO HEAVY QPF OVER THE TWO DAY FCST PERIOD...ONE TIED TO THE SLOW MOVING REGION OF UPPER DIFLUENCE OVER THE NORTHERN ROCKIES AND EASTWARD WHILE THERE SHOULD BE A SECOND AREA OF MDT TO HEAVY RAINFALL ON DAY 3 ONCE A STRONGER SHORTWAVE TROF KICKS OUT OF THE ROCKIES AND MAKES ITS WAY EASTWARD. ACROSS THE WEST THE SLOW MOVING CLOSED LOW IS FORECAST TO PRODUCE PERSISTENT NORTHERLY FLOW IN CENTRAL MT. LG SCALE MOISTURE POOLED IN THE REGION TURNS UPSLOPE (I.E. SUCH AS THE LITTLE BELT MNTNS)...PRODUCING OROGRAPHIC RAIN/SNOW. THE PRECIPITATION IS AIDED BY PERSISTENT UPPER DIVERGENCE MAXIMA ON DAY TWO INTO EARLY DAY THREE DOWN INTO THE BIGHORNS. THE MODELS CONSENSUS HERE SHOWS LG MAXIMA...WITH THE ECMWF BLENDED WITH THE NAM AND ECMWF ENSEMBLE MEAN TO COMPOSE EVENT TOTALS. SEE THE WINTER WEATHER FORECASTS FOR THE SNOW THREATS/DISCUSSION. FINALLY THE STRONGEST SHORT WAVE IMPULSE WILL LEAVE THE CO ROCKIES AND ARRIVE INTO THE CENTRAL PLAINS INDUCING A SURFACE WAVE WHICH WILL DEEPEN RAPIDLY AS IT LIFTS NORTH INTO THE UPPER MIDWEST... THUS EXPECT DEVELOPING SHOWERS/STORMS ACROSS NE INTO IA AND SPREADING NORTH INTO THE ERN DAKOTAS/MN. TO THE SOUTH OF THIS AREA ON FRI... THE ASSOCIATED SURFACE COLD FRONT WILL BEGIN TO INTERACT WITH A RETURNING NORTH WARM FRONTAL BOUNDARY. MDT TO LOCALLY HEAVY AMOUNTS OF RAINFALL ARE POSSIBLE GIVEN PW VALUES WHICH INCREASE TO 1.75 INCHES OR GREATER WHILE PROPAGATION VECTORS SUGGEST SLOWING FOREWARD SPEED. SULLIVAN/BANN GRAPHICS AVAILABLE ON THE WEB AT WWW.HPC.NCEP.NOAA.GOV 24HR QP VT 30/00Z 0.01 546098 547068 547060 548051 546047 544047 539047 537046 536042 534032 531029 528023 525011 522006 521001 527998 531994 533989 535984 535977 534960 532950 530946 521929 512913 507904 502898 493887 480874 468861 463854 455847 452845 447844 443846 440850 442856 448864 456877 460882 465888 466894 463895 457891 451886 449885 443887 440889 438890 436894 436904 441911 445917 444923 441928 440939 436941 431940 424939 408946 402950 398955 394960 393966 394971 396973 398972 400970 403966 407963 413958 420954 425954 428955 433960 435967 435974 431982 426991 421998 419002 417007 416014 414024 413027 409027 405028 400030 398031 395034 392042 386049 383057 380059 375058 369058 363059 360061 358066 362075 363079 362082 358084 354085 353091 354097 356100 358103 358108 358111 355112 349109 346105 344104 342108 343112 343119 348127 351134 357139 361139 364142 366143 368145 373153 380159 383159 385156 386158 386164 385170 385175 391189 396192 391192 383189 377185 370180 360178 355178 352180 349183 347182 346178 346171 344166 341163 330161 325161 323164 325168 328170 335173 337174 340178 342184 342191 343196 346199 350197 353194 358192 367197 372202 379207 382210 387212 393217 396219 398223 391228 390236 390243 392247 394249 399252 403255 407256 415256 421256 428256 443256 460254 468255 478260 483263 486268 489271 493276 496282 498283 503285 518274 519270 519265 518254 512237 505219 504208 505201 508198 510199 524212 529205 535199 538194 539187 542169 543158 543149 542137 539127 538123 539119 540117 544105 546098 0.01 465658 462653 457650 450653 444659 431683 429687 426689 419691 415693 413695 412700 419711 423713 426712 432710 453698 451703 446709 438715 436720 430724 427728 428731 432735 438736 448737 454738 459742 463742 467738 468732 466727 464717 463712 465705 470689 470682 466673 466664 465658 0.01 501251 500250 499246 498246 495244 495245 497250 500252 501251 0.01 500072 499064 497054 482043 476041 467042 459043 453043 444040 442040 442037 444033 446030 450028 458024 464021 470022 475022 477016 475012 472010 464012 456014 446019 440023 429030 426033 424038 422049 424058 426063 424064 418063 417076 415083 415092 417095 416099 418099 421096 422092 423086 424084 428083 430085 440087 447089 451089 455092 462096 465089 462076 464072 467068 476069 486070 495072 500072 0.01 485232 486228 483227 480226 477225 480226 482231 485232 485232 0.01 486201 489197 490193 488187 485184 482183 477182 471181 468180 467183 464187 461190 457197 456202 456207 461207 465206 471206 474204 480204 483202 486201 0.01 453076 450072 447068 444068 441069 440072 441073 442076 444079 447080 450079 453076 0.01 436205 439202 437197 437196 434193 431194 430195 429199 429203 430204 432207 436205 436205 0.01 433140 434136 434133 433132 431131 429131 428132 425134 422134 419134 416135 413137 416139 419139 422140 424141 426143 427143 430144 433141 433140 0.01 407137 408133 405133 404136 407137 407137 0.01 392105 390101 389100 387101 386103 385105 383108 386109 387109 389107 392105 392105 0.01 374224 375220 375219 374216 373215 370215 368215 367216 364214 361212 359211 358213 358216 360219 361221 363222 366223 368225 371226 374225 374224 0.01 264806 264802 260798 255800 251803 245804 240807 237813 235818 235825 237829 240829 244828 249824 256820 260815 263810 264806 0.25 529169 530159 530147 529126 530077 530067 529058 526053 524053 520058 516071 508086 505089 500091 492091 485092 475098 470101 465106 462111 464118 466122 467126 466132 465136 462138 458141 455148 456151 458155 462158 468162 474165 479164 482162 485162 492164 499166 507169 517175 522176 525174 529169 0.25 511974 511967 510960 505950 501943 494937 490936 485938 478942 473943 469946 461952 456958 451965 441983 438989 436995 436000 436004 440006 446005 451004 458001 468998 489996 505985 509980 511974 0.25 486214 485213 482210 479210 476210 474211 473213 471214 472217 475217 478217 480217 481217 485215 486214 0.25 460224 463220 459218 452217 440216 428218 424223 422230 418232 412234 408238 409245 415249 423250 432248 438246 442244 445240 443236 445232 455227 460224 0.25 447113 449109 447107 445105 444103 441102 438103 435104 435105 433108 435110 438111 441112 442113 443114 446114 447113 0.25 414072 413069 413065 411060 410054 407051 401053 398055 392061 389064 387069 384072 381071 376068 374068 372075 375082 378085 386088 392090 395093 404090 407087 408080 414072 0.25 406114 403111 397110 392113 388114 385116 382119 380126 379134 381141 384143 387141 390137 393132 395128 397124 400120 403117 406114 0.25 393206 389202 387199 381196 379193 376191 372187 368185 364185 365189 368193 372197 375199 380203 383205 388208 393206 0.50 520158 519134 518110 517105 515103 508105 501104 494100 488099 482101 476105 470107 468112 469116 472120 473124 472132 471137 474140 479143 485148 493153 500155 508157 517162 520158 0.50 496964 496959 495954 494950 490948 479948 468957 460964 452975 446986 443992 445995 448998 459992 466990 472986 485981 488978 493972 496964 0.50 470154 468150 466149 465148 464148 464153 467155 470154 0.50 442223 442222 439221 437222 439224 442223 442223 0.50 410068 408064 405061 401060 398061 393064 389068 387072 384076 384079 387081 389084 395084 400083 403079 405076 408072 410068 0.50 392124 394120 391119 390120 388122 387123 388126 391126 392124 1.00 504137 504127 502123 499119 496117 490116 487119 485125 483132 483138 486140 492143 497143 503141 504137 1.00 482962 481958 480958 479959 477960 474961 471962 468963 466966 463970 463971 461975 460975 461977 462979 464980 466979 467978 469976 472974 474973 475972 478970 480967 480966 482962 1.50 495135 495134 492130 490135 492137 495136 495135 24HR QP VT 01/00Z 0.01 552976 552965 551955 546941 541923 537900 534889 529879 525873 523865 519855 515849 510840 509837 506835 494834 490833 488836 484837 479833 474827 464815 455805 447799 429788 419788 417792 417800 417804 418808 420812 424820 429825 440830 444832 447835 452841 454846 460850 464850 468852 467855 463861 458866 447875 423893 418896 410900 397905 390908 381907 372906 354900 348898 342902 332909 327914 324917 319916 310910 308908 308903 308898 309885 312860 312854 311846 306833 301816 298809 294802 287790 280779 276778 272774 268773 263772 258772 255775 251785 247796 244809 244819 245828 249833 253834 258834 261837 262841 264849 266856 270858 275873 283899 287917 291936 288946 286957 283955 280960 274968 267969 261968 253973 261981 269986 274990 279995 285007 292015 299016 306014 327006 339001 347996 368987 377981 379977 382978 380988 378994 371006 365015 365022 363026 356039 352044 347048 340049 337051 336054 335056 333059 335060 340063 344065 347069 348076 346080 344086 337085 332083 330086 332090 332094 331100 332105 333109 336111 340115 345123 350128 356132 362131 365123 365120 361118 357117 351109 349106 349103 352103 360112 368106 375097 401090 400094 394098 391103 386108 380115 374125 376130 380132 384131 393127 394133 393139 391144 392149 397154 402155 408155 414153 418150 415145 410142 405136 408129 413129 418133 424138 428143 435154 444164 449170 451177 451180 454182 460182 471180 475179 478179 482181 487184 492189 500200 503195 505188 506181 505171 503163 500155 502149 505147 516143 521137 525130 528123 530112 530100 529092 521079 513068 505054 502051 500046 497038 495030 493021 492014 490005 488000 484998 481998 477999 474003 471008 463017 460021 456021 448019 444019 440018 437014 440007 445999 449994 456990 463989 466987 473986 479987 488987 493990 505998 523012 527014 531014 537015 546014 548012 549007 551989 551978 552976 0.01 483677 480664 474660 467657 461657 458660 459666 460672 464683 466687 465692 467698 471700 477699 482693 483688 483682 483677 0.01 513252 514245 515238 512231 507225 502218 495213 488210 485210 484214 483219 484223 489230 493238 496240 498245 503251 507253 512252 513252 0.01 479226 478221 476217 474214 469212 453209 449210 445211 437212 423218 421219 418224 422229 423230 416228 415226 416220 416215 415208 413207 408204 403203 400201 395195 379189 373184 366182 362188 364193 368195 374199 381203 394214 400217 404219 406225 409229 406238 406243 407246 410249 413252 421253 429252 436251 443251 457248 463244 466239 464231 465230 472232 477229 479226 0.25 511913 511906 511897 509889 506881 500871 497869 491870 487872 482875 474883 467889 459895 453902 448905 442907 432911 424915 406924 402927 400930 399936 402939 405942 405946 402956 398964 394975 392984 392997 390006 385017 385024 388028 393031 398030 403027 409022 422009 427001 432992 444979 457964 468950 475943 483936 489932 499926 505925 508922 510916 511913 0.25 509105 510093 509087 507084 506081 502079 500077 498072 494072 487076 482077 479072 474068 469062 465058 459060 448068 443072 439077 437081 439084 441086 444088 447091 450092 453093 446096 441101 440108 443116 450126 455130 456136 456143 457149 458160 464163 472167 476168 480169 483167 484162 482155 481152 481147 486144 490137 492134 495131 499127 503123 506116 509105 0.25 393076 392073 389070 384068 380067 375065 370061 366061 359065 357067 356072 358075 361076 369077 374083 381086 388083 392076 393076 0.25 381955 381952 380948 376945 366942 362941 359936 361933 365929 370926 369921 366919 360917 350917 345920 341924 327938 319943 313951 308960 313967 325982 334988 339988 346986 353981 362975 370969 378962 381955 0.25 292835 288820 284808 281801 277796 273793 267793 264798 263803 264816 266828 272837 280842 286853 289855 293853 294851 294847 292835 0.50 488907 488902 486901 483900 479902 467904 456910 449913 442917 434919 427921 422924 415934 412939 410945 405958 399970 398975 397984 398987 400990 404991 412998 419995 424991 432983 440973 452952 463941 471932 478923 483917 487912 488907 0.50 497113 498106 496103 490103 486104 482106 478098 475096 470095 464101 461108 461114 466121 471122 475121 478114 481110 483112 490116 494115 497113 0.50 461085 461081 460076 459073 457072 456072 455072 453073 450075 447075 446076 444077 442080 444084 445084 447086 450088 453088 456088 459086 461085 0.50 376956 376953 373950 370949 359950 348952 337955 328958 323962 323966 327972 333973 339973 342974 342978 342981 347979 353971 361967 369962 376956 0.50 356928 356924 355924 352924 349925 348926 347927 344930 343931 342933 340935 343938 345937 348936 351935 354933 355932 356929 356928 0.50 283831 282825 279820 277814 276811 273809 273806 271804 270807 270811 270817 270820 272826 274828 276831 280833 283831 1.00 471111 471106 470104 467105 467106 467110 467111 470112 471111 1.00 444933 444929 439925 432925 424935 420943 414952 409964 411974 417974 424966 430960 435952 440942 443937 444933 1.50 424954 423950 420949 418951 417953 416956 416959 418960 420959 421958 423955 424954 24HR QP VT 02/00Z 0.01 561979 559955 556926 553901 552889 550885 547876 545866 540852 538842 534834 531825 526824 519822 515818 512814 504801 499793 491783 485774 480767 473762 465755 463753 460755 456764 457771 461781 465793 467812 468817 468827 463837 461842 458847 452855 448857 448852 448847 446843 440837 432830 423826 417824 408822 401825 397822 389809 386803 382799 373794 364791 360791 355794 338808 336807 334803 332796 330789 328784 325778 322775 315770 309769 301769 298771 296774 293773 291776 282797 275816 272835 271843 273851 276856 280865 283870 283875 286886 286897 287919 288925 289931 291942 293949 296953 298957 296965 300968 298974 293982 287992 284001 283010 289015 294016 298014 302011 305010 313003 318996 325991 330985 336978 342974 355973 362972 371971 378970 385967 394962 407959 419956 424954 430950 439944 449948 452952 456954 464958 466962 465967 460977 458984 457988 453995 446003 443007 438011 428019 426033 428039 430044 422049 411050 404041 402036 401032 398031 385028 380033 378035 375034 365030 361034 360038 359044 361047 365050 368051 372054 375057 368067 367072 370075 372078 376079 380079 387082 397076 405076 407080 404087 401092 400097 398104 398112 400117 404122 411126 417129 419131 423135 424140 426144 430147 433148 436152 440157 444160 452163 462170 469175 474180 476183 479185 483185 485183 490180 493180 497185 497191 497195 499199 501202 505201 512199 517196 520189 523183 523178 523173 521169 518164 504150 494130 492126 490121 493120 497118 500113 497108 494104 489099 481095 478094 472096 468098 464098 462094 463090 466084 470081 473082 483089 485090 490087 509081 522078 529071 534061 539051 544043 546040 549035 552027 554018 554012 556002 559987 561979 0.01 481116 478114 476115 475115 472118 471119 472121 475121 478121 479120 481116 481116 0.01 465226 467220 463218 455215 446214 440218 435221 430225 429232 435231 441228 447227 453226 462228 465226 0.01 436120 437116 435112 432111 430112 429116 430120 431122 434123 436120 0.01 436080 437076 436072 436069 435068 433064 430060 429060 427063 426064 425068 425072 427076 426080 427082 430082 433083 436080 436080 0.01 390938 389937 386938 385940 387941 389940 390938 0.01 315877 314874 313871 312869 309869 309872 310875 310878 312880 314878 315877 0.01 313098 314091 314085 313080 310078 308078 301079 296081 288078 283075 280074 274074 272075 271081 272085 279090 287093 291095 294097 299105 302107 305107 311101 313098 0.25 543008 544003 542998 541996 539993 538991 535990 533994 533996 532999 532004 533006 535009 536010 539010 542009 543008 0.25 505844 504840 501837 495839 487849 480856 477862 475871 474875 472877 468878 459879 452882 446885 441888 437888 431887 424890 426897 428905 424910 415918 409934 407938 406942 407945 413945 419941 429933 450915 456910 461906 468895 473886 478881 487880 491876 494873 499866 502860 504854 505844 0.25 492915 492910 491908 489907 488906 485907 483909 482909 480912 478915 477915 476920 476924 475924 476925 477928 479930 482930 485929 488927 489925 490921 491920 492915 492915 0.25 394853 393845 391839 386832 380828 375830 363844 357849 353851 351851 345846 340845 337851 337859 335865 331873 326880 314890 309895 305903 305907 305913 308922 311931 313943 312951 313961 315964 321965 325964 331961 337959 345958 351957 356954 361948 364944 365940 365936 367933 373925 375923 376917 375912 371910 374902 376897 379893 385887 391882 395876 394853 0.25 318983 319976 316974 313974 309978 306981 303984 301988 298992 297995 295999 294002 296005 300005 302004 306001 309997 313993 315990 317986 318983 0.50 444908 443903 439903 437905 435908 432912 427917 424919 419922 418928 420932 423930 428926 431924 436919 439916 443913 444908 0.50 388848 385841 382839 378838 375839 372842 369847 364853 359858 352866 348872 344874 340874 335878 331882 320891 313898 309905 308912 313924 316934 316944 317952 320957 325958 329956 333952 340949 343945 349940 354937 358932 359927 361919 360915 361909 367900 375887 379878 385864 387857 388851 388848 0.50 313987 313984 312983 309983 308984 306988 306991 307992 308991 309990 312988 313987 1.00 378856 378850 376848 373851 368859 363871 358878 351882 345883 334888 325894 319901 316906 315910 314918 318923 319929 321936 321943 321948 324950 332944 340938 347930 350926 351920 352914 353910 359900 364892 371871 378856 1.50 355892 356888 354888 349890 338893 332895 328897 325900 323904 321912 321920 321926 326938 329941 332940 338936 341931 343927 345923 345918 347909 352900 355892 2.00 343900 341897 339896 331900 326904 324912 323919 324924 325928 328935 331937 333935 336933 338928 340925 339923 338918 339911 342903 343900 $$