Quantitative Precipitation Forecast
Issued by NWS

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115
FXUS04 KWBC 160847
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
446 AM EDT MON OCT 16 2017


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID OCT 16/1200 UTC THRU OCT 19/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...

...PACIFIC NORTHWEST...

A STRONG JET STEAK OVER THE NORTHERN PACIFIC WILL HELP CARVE OUT A
SHORTWAVE THAT WILL MOVE QUICKLY TOWARD THE PAC NW TUE MORNING.
INCREASING UPPER DIFFLUENCE AND ATTENDANT DEEP LAYER WARM/MOISTURE
ADVECTION AHEAD OF THE TROUGH WILL MAKE FOR A PROGRESSIVELY WET
PATTERN ACROSS THE NORTHERN WA COASTAL AND CASCADE
RANGES...ESPECIALLY LATER IN THE PERIOD (00-12Z TUE) WHEN AN
ATMOSPHERIC RIVER OF 1-1.25" PWs AND STRONG WESTERLY LOW LEVEL
MOISTURE TRANSPORT DROPS SOUTH OF VANCOUVER ISLAND. 850-700 MB
MOISTURE FLUX ANOMALIES DURING THIS TIME ARE EXPECTED TO CLIMB TO
NEAR 3 STANDARD DEVIATIONS ABOVE NORMAL PER THE SREF AND GEFS...TO
GO ALONG WITH THE PW ANOMALIES AROUND +2. THIS ALONG WITH THE
PREDOMINATELY WESTERLY (LARGELY ORTHOGONAL) LOW-LEVEL FLOW WILL
LEAD TO 12 HOUR LIQUID EQUIVALENT ACCUMULATIONS AVERAGING BETWEEN
1-1.5" ACROSS THE OLYMPIC AND NORTHERN CASCADE RANGES IN NORTHWEST
WA.


...MID ATLANTIC TO SOUTHEAST...

AN UPPER LEVEL TROUGH ACROSS THE OH/TN VALLEYS EARLY THIS MORNING
WILL TRANSLATE EASTWARD TO ALONG THE MID ATLANTIC-SOUTHEAST COAST
BY 12Z TUE. STRONG...ELONGATED DEEP-LAYER WESTERLY FLOW IN ITS
WAKE WILL FOSTER SUCH SWIFT EASTWARD PROGRESSION OF THE UPPER
TROUGH AND ASSOCIATED SURFACE COLD FRONT...PARTICULARLY FARTHER
NORTH (MID ATLANTIC)... THOUGH WITH THE WEAKER WESTERLIES THE
UPPER TROUGH WILL RETARD SOMEWHAT OVER THE EASTERN GULF COAST
WHILE THE SURFACE BOUNDARY BECOMES NEARLY STATIONARY ACROSS SOUTH
FLORIDA BY 12Z TUE. NEVERTHELESS...MODEST AT BEST UPPER LEVEL
FORCING AND WEAKENING 850-700 MB MOISTURE TRANSPORT/FLUX WITH
TIME...ALONG WITH THE LIMITED DEEP-LAYER INSTABILITY
OVERNIGHT...WILL INHIBIT THE HEAVY RAINFALL THREAT (CONVECTIVE
TRAINING POTENTIAL) ACROSS MUCH OF THE FL PENINSULA DESPITE THE
SLOWER SURFACE FRONTAL PROGRESSION.

HOWEVER...AN INCREASED CHANCE FOR CELL TRAINING AND THUS HEAVY
RAINFALL WILL BE POSSIBLE THROUGH THIS EVENING ALONG THE SOUTHEAST
COAST...CAPITALIZING ON THE LINGERING DIURNAL INSTABILITY (MUCAPES
1000-1500 J/KG). UTILIZING A MULTI-MODEL BLEND WITH THE QPF...WITH
THE BULK OF THE WEIGHT COMPRISING THE HIGH-RES CAMS (ESPECIALLY
THE NBM AND HREF MEAN)...MAXIMUM AREAL-AVERAGE RAINFALL AMOUNTS
ARE EXPECTED TO RANGE BETWEEN 0.50-1.25" ALONG THE SOUTHEAST COAST
FROM NORTHEAST FL TO SOUTHERN SC. SPOTTY 2-3+" TOTALS ARE LIKELY
HOWEVER PER THE VARIOUS HIGH-RES WRFs. GIVEN THAT THESE AMOUNTS
COULD FALL WITHIN A 3 HOUR PERIOD...ALONG WITH THE CURRENT SOIL
MOISTURE ANALYSIS FROM THE NATIONAL WATER MODEL...THE CURRENT 1-3
HOURLY FFG...AND THE LATEST SSEO 40KM NEIGHBORHOOD PROBABILITIES
OF QPF>FFG EXCEEDANCE LATER THIS AFTERNOON (TOWARD 00Z)...WE WILL
INCLUDE A NARROW "MARGINAL" RISK AREA IN THE DAY 1 EXCESSIVE
RAINFALL OUTLOOK (ERO).


DAYS 2/3...

...FLORIDA...

HYDROLOGICALLY SIGNIFICANT PRECIPITATION WILL BE CONFINED TO THE
SOUTHEAST AND NORTHWEST CORNERS OF THE CONUS THIS PERIOD.  ACROSS
FLORIDA...A FRONT IS FORECAST TO STALL ACROSS THE SOUTHERN
PENINSULA ON TUE.  EASTERLY FLOW NORTH OF THE BOUNDARY IS EXPECTED
TO SUPPORT PWS AT OR ABOVE 1.75 INCHES ACROSS MUCH OF THE
PENINSULA.  THIS MOISTURE INTERACTING WITH AN AREA OF ENHANCED
LIFT SUPPORTED IN PART BY FAVORABLE UPPER JET DYNAMICS IS EXPECTED
TO ENCOURAGE SHOWERS AND THUNDERSTORMS WITH SOME OF THE GUIDANCE
SHOWING LOCALLY HEAVY ACCUMULATIONS ALONG THE FIRST AND SPACE
COASTS ON TUE.  THESE AMOUNTS MAY PROVE PROBLEMATIC...ESPECIALLY
ACROSS URBANIZED AREAS AND AREAS WITH ONGOING HYDROLOGIC CONCERNS.
 WPC QPF AMOUNTS REFLECT A BLEND THAT INCORPORATED THE NAM...ECMWF
AND GFS.  HI-RES GUIDANCE...INCLUDING THE HRW-ARW...WAS ALSO
UTILIZED THROUGH TUE EVENING.

...PACIFIC NORTHWEST...

PRECIPITATION DEVELOPING ACROSS THE NORTHWEST DURING THE DAY 1
PERIOD IS FORECAST TO CONTINUE INTO DAY 2...WITH ADDITIONAL AREAL
AVERAGE AMOUNTS OF 1-2 INCHES EXPECTED ALONG THE OLYMPICS AND
NORTHERN CASCADES ON TUE.  PRECIPITATION IS EXPECTED TO WANE BY
LATE TUE AS THE SUPPORTING SHORTWAVE MOVES PROGRESSIVELY
DOWNSTREAM...FOLLOWED BY A LOW AMPLITUDE RIDGE MOVING ACROSS THE
NORTHWEST TUE NIGHT.  WARM ADVECTION PRECIPITATION AHEAD OF THE
NEXT APPROACHING SYSTEM IS FORECAST TO SPREAD INTO THE REGION WED
MORNING.  HOWEVER...THE 00 UTC GUIDANCE SHOWED A FAIR AMOUNT OF
SPREAD WITH RESPECT TO TIMING...WITH THE NCEP GUIDANCE (ESPECIALLY
THE NAM) SHOWING HEAVIER AMOUNTS SPREADING ACROSS THE REGION MORE
QUICKLY THAN THE ECMWF AND UKMET.  WITH THE GFS TRENDING
SLOWER...BACKED OFF ON AMOUNTS ACROSS THE NORTHWEST EARLY WED
MORNING.  MODELS DO AGREE HOWEVER THAT BY LATE WED MORNING 1.25
INCH PWS (2-3 STANDARD DEVIATIONS ABOVE NORMAL) ON THE NOSE OF 50
KT WESTERLY LOW LEVEL INFLOW WILL BEGIN TO SUPPORT HEAVY AMOUNTS
ACROSS WESTERN WASHINGTON.  STRONG ONSHORE FLOW/MOISTURE ADVECTION
IS FORECAST TO FUEL HEAVY PRECIPITATION THROUGH THE REMAINDER OF
THE PERIOD...WITH SEVERAL INCHES OF ACCUMULATION LIKELY ALONG THE
WESTERN SLOPES OF THE OLYMPICS AND NORTHERN CASCADES BY THU
MORNING.  WITH SNOW LEVELS EXPECTED TO REMAIN HIGH...THESE AMOUNTS
MAY PRODUCE HYDROLOGIC CONCERNS.

GRAPHICS AVAILABLE ON THE WEB AT
WWW.WPC.NCEP.NOAA.GOV/QPF/QPF2.SHTML

HURLEY/PEREIRA


24HR QP VT 17/12Z
 0.01 555873 555858 554848 551839 546830 542824 542814 541801
      539788 536778 532771 528766 522760 516758 512759 510758
      496765 492766 489770 485775 482782 479792 480799 481803
      482809 484812 487821 490830 495851 497862 499871 503880
      508885 513884 515883 517884 521887 524896 525905 528913
      534918 539918 541916 545909 549903 552892 554883 555873
 0.01 538216 540198 538187 537180 536176 533171 529167 522160
      517155 509151 506153 505156 507157 509163 507163 500159
      495176 496179 500182 500188 503190 510204 514214 513216
      511213 505207 501203 495201 490200 486201 480203 476206
      472209 470212 465213 464214 467218 476222 475225 472228
      469232 466232 464231 463234 463240 463251 463256 462260
      460265 459277 461290 462295 461301 460307 461312 465316
      471318 478314 484309 489304 496296 508301
 0.01 483839 482833 479829 472833 467824 461816 459812 461808
      462803 462797 461780 460773 456773 453776 451782 450792
      449797 446801 439808 436813 433813 431811 424808 417804
      408802 399799 393796 388797 385799 378805 372814 370817
      370820 385809 389806 395807 398808 402811 410814 418816
      434821 439824 442825 445823 444819 448819 451823 454827
      455833 459837 459835 459831 462834 464838 467843 469853
      474861 476863 478862 480857 482848 483839
 0.01 451718 450716 450714 449714 448714 446714 446715 447717
      448717 450719 451718
 0.01 458847 456845 454845 453845 452845 451847 451848 449850
      448853 448855 450855 451855 453855 455852 456850 458847
      458847
 0.01 449741 447738 444737 439745 435753 426755 421763 420766
      423771 425775 428779 432779 435776 438765 441757 447749
      448746 449741
 0.01 431790 431788 429786 428786 426786 424784 422787 423789
      424789 426791 428791 430791 431790 431790
 0.01 431862 431861 429861 428862 426862 424862 422860 420858
      419860 419863 421865 423867 424867 426867 428867 429864
      431862 431862
 0.01 230965 233971 238973 250973 257969 263962 278923 286903
      294887 297877 301870 304863 307859 313852 332841 338835
      342829 353813 360804 366796 372788 378780 383772 388765
      399746 407726 413704 413701 410697 407698 404701 392716
      389721 386725 382722 386717 388712 389706 386702 381701
      376703 372706 366705 357713 353716 348718 331729 322727
      315734 307750 298766 287784 280792 277795 275796 271796
      265797 259798 253802 249806 251813 255815 258817 261820
      266821 272822 273824 270825 263826 259824 252818 249816
      246817 239823 236833 236840 239844 244850 249853 254853
      260854 261857 261861 260873 260886 259895 259902 258908
      253917 249925 246929 243933 235939 232943 230950
 0.01 362825 361823 361821 360823 359823 358825 358828 356830
      355832 355835 355837 357835 357834 358832 359832 360830
      360827 362825 362825
 0.25 534225 536214 537202 536193 534184 527172 518162 514161
      515171 510169 506167 505171 504183 509187 514192 520207
      525219 528227 530230 532229 534225
 0.25 527251 521244 516234 514229 512225 505218 501213 499209
      496207 491207 486207 482208 479211 478213 478218 484224
      485228 482232 477231 473232 471237 471245 471252 471257
      470272 469286 469293 471299 474302 478302 484294 490286
      493285 497286 502290 507292 510290 513284 517281
 0.25 534840 534835 533830 532827 530825 528824 525824 521826
      520829 520832 520836 522839 524842 526843 527845 530844
      532843 534840
 0.25 383756 383752 380752 377757 374763 371768 369772 366779
      364784 365787 368786 372781 375776 377771 379766 382759
      383756
 0.25 359725 357723 354724 349729 344734 341736 337736 323736
      318742 314749 308761 300773 293785 290793 288799 287809
      289815 291823 294826 298827 306825 312821 314819 318818
      324818 327816 332810 333807 333803 330797 328794 325796
      313803 310802 310797 315792 321788 325783 328777 330774
      330768 330763 332759 336755 346744 353735 359725
 0.25 307844 306841 305843 301843 299840 297840 296843 295845
      295849 297851 299851 301849 303847 305846 307844
 0.25 284885 285881 283878 278879 276881 274878 272871 270867
      268870 265876 265880 268893 264903 261915 257925 251934
      245942 237948 234954 233959 234965 237969 242971 249970
      256963 261953 265942 268929 272919 273913 274906 283886
      284885
 0.25 279834 277832 273833 270833 267833 264833 260834 258834
      256836 257839 261839 264839 268839 271838 275837 278836
      279834
 0.50 533222 534213 535204 535197 533190 528180 522171 516163
      516168 518175 509172 509176 511182 515185 518189 520195
      522202 526212 531222 533222
 0.50 525257 520248 516238 513231 511227 503218 498210 495208
      492209 488209 483210 480213 480216 481218 486223 491231
      491237 487236 481236 478233 475233 473234 472239 475250
      477263 478276 478285 480287 485277 491277 495280 500285
      503286 507287 511283 519274
 0.50 331748 329744 326743 319748 315753 311759 305772 302778
      301783 299785 295790 292797 289805 291810 295809 300804
      303799 309785 319782 322771 325763 328756 331748
 0.50 325808 323802 318804 315807 313809 308811 302812 299815
      298819 301822 306820 310818 313815 317814 321812 324809
      325808
 0.50 270909 270906 270904 269904 269907 268908 267909 267911
      266912 266913 266915 264917 264919 263921 264922 265921
      266920 267919 267917 268916 268915 269913 269911 270910
      270909
 0.50 265927 263925 259927 255933 250941 245947 239952 237955
      236961 238965 241968 246968 250966 255960 259952 262943
      263933 265927
 1.00 521264 520256 519252 514240 510230 507226 503222 497213
      493212 489214 486215 486219 489223 493234 495240 498244
      501248 502254 498253 496249 493243 489239 485238 483243
      477235 475238 477242 482253 487262 493272 501279 507281
      510276 514275 516272 521264
 1.00 258945 257941 254941 251945 248949 246952 243954 242960
      242962 244963 248962 252958 254954 255950 257946 258945
 1.50 519263 517253 513243 510235 507231 503228 498221 495217
      492219 491222 492227 496238 501245 503249 504255 504260
      502259 496252 492244 489241 485240 485246 486251 489260
      494269 500276 503279 506277 508273 512273 517269 519263
 2.00 517265 517260 516256 513247 509238 503231 499225 496221
      494220 492224 493228 496237 500244 505252 506258 505263
      502262 500258 494251 490243 486243 486247 490257 493264
      497272 504276 506271 509271 513271 515270 517265
 3.00 514266 514261 513258 511249 507240 503234 499229 497225
      494225 496234 499240 504247 507254 509264 512268 514266
 3.00 501269 502266 501263 499260 498258 495254 494252 492250
      491247 488247 489250 490254 491258 492261 494263 495266
      497268 499270 501269
 4.00 507245 507243 506242 505242 504240 502241 503243 504244
      505245 506247 507245
 4.00 500266 499263 497260 496258 495255 493253 491250 490250
      490253 491256 493258 495262 497265 498266 500266
 4.00 502238 501237 500235 500234 498233 497234 498235 498237
      499238 501238 502238

24HR QP VT 18/12Z
 0.01 470332 480318 486314 488313 493314 498312 503308 508301
      512292 515281 516270 517263 518260 520255 521249 527231
      535212 539203 542193 544182 543170 544157 544146 543137
      542132 539126 537123 535124 532126 530130 526131 523128
      519121 515116 513113 510111 507109 505113 508122 509128
      508135 510143 508145 504144 499142 496139 486130 480126
      471128 470133 471137 473141 475141 477143 475145 467142
      464134 461133 460135 458138 459144 454152 450160 450166
      448172 449177 451180 452184 451189 451198 454194 460188
      466184 471177 472183 478178 481177 484180 489185 496189
      495194 492195 486197 479202 473205 468208 460209 449215
      442218 439221 440224 445231 445236 442239 440241 439244
      443246 443252 443262 441273 439287 439297 440303 445306
      444313 443321
 0.01 551808 549789 546775 545768 543761 538748 534737 531732
      528728 525724 522716 520702 518695 516687 512675 510668
      507663 501653 499648 495645 487639 479637 470640 466646
      465651 467667 470669 473670 475673 473683 475687 474691
      471696 466705 464710 466714 468719 468727 468731 470737
      467748 468753 471760 476768 482780 486791 488795 492800
      494802 500803 504802 505805 507811 509815 513820 516823
      520826 523829 525836 529849 532848 535843 543820 548814
      551808
 0.01 493109 493107 494104 494102 494099 494097 493094 492093
      491093 489093 487093 487096 487098 488101 488103 490106
      489109 489111 491112 493109 493109
 0.01 342757 342755 342754 340755 338755 337758 337760 337762
      338764 339764 340764 341762 341759 342757 342757
 0.01 336719 333715 328716 324717 321721 317719 311720 306729
      288761 283769 280772 276775 270776 266779 259783 244794
      234808 232813 234818 236822 240824 251837 264850 268852
      273853 275857 276863 278868 282870 286867 288864 292842
      296833 299823 311810 315807 317803 319793 322782 325773
      331753 332741 333737 332730 336719
 0.01 257775 257773 256771 256770 254770 253771 252772 252773
      251775 250776 249778 249780 249782 250782 252782 253780
      254779 255778 256777 256775 257775
 0.25 533195 534191 534186 533180 532165 531160 529155 524154
      520155 511155 502156 497157 494160 490161 487159 476155
      469148 465146 462148 460153 461158 465160 469163 477164
      482166 486169 493174 501181 507189 510193 513197 520203
      528200 533195
 0.25 526778 527773 527770 525764 522755 518746 516742 516736
      518732 517727 513720 507712 507705 506701 504694 500693
      497696 495699 489706 487710 489714 496718 496721 493724
      490733 490737 491740 494743 498749 502759 505768 510775
      516779 523780 526778
 0.25 506287 507281 507277 505268 504260 503257 500255 495249
      493242 494241 496242 502244 505241 506235 504226 501212
      499208 495205 492204 488205 482206 478208 456216 450220
      448224 451226 453228 454233 451239 455251 461263 465266
      467269 466278 464289 462299 460307 460311 463313 468311
      473306 482297 488296 493297 498297 502294 506287
 0.25 490234 490230 489226 487225 484224 481222 478222 476223
      474225 473227 476230 480231 481232 484234 488235 490234
 0.25 487139 487138 486137 485136 484134 483133 481134 479133
      477134 478137 479137 480139 482140 483140 483141 485141
      487140 487139
 0.25 321743 321738 321734 319730 316731 310741 303751 296760
      289770 281779 273788 267791 262794 250799 248804 249808
      251810 260817 270822 272821 270817 270813 272811 277810
      280810 282813 285818 288820 291819 297817 303814 307809
      310804 313792 315784 316777 319763 320753 321743
 0.25 283846 282838 278831 276828 272826 267823 261823 255828
      260832 266837 270841 275846 277849 281850 283846
 0.50 528180 529167 528164 525161 517159 510162 503162 498167
      497170 499173 504179 509185 515189 521191 525187 528180
 0.50 501288 501282 500276 497268 493260 489252 487243 482237
      478233 475232 468232 461234 458236 458239 459245 461248
      465250 470253 475259 477263 478267 477272 475277 471287
      468297 471300 474299 485287 490290 495292 498291 501288
 0.50 499229 499223 498216 495211 491208 481208 474212 465216
      456219 456223 460227 463229 467227 470222 474220 479219
      484221 490222 494227 497230 499229
 0.50 316761 316755 314750 312749 309752 300764 291777 280787
      274792 268796 266800 269801 276805 282808 288813 291816
      295815 301813 306806 309799 311790 313781 314771 316763
      316761
 0.50 261803 260801 259801 257801 256802 254803 254804 256805
      258805 259805 261803
 1.00 520173 522168 519166 517166 514168 512170 510171 507172
      510175 512176 515177 516176 518175 520173
 1.00 490216 491214 490214 489212 487211 486211 484211 482210
      481210 480211 479211 477212 475214 475215 477216 478217
      480217 481218 483218 485218 487218 488218 490217 490216
 1.00 480241 480240 480239 479236 478234 476234 474233 473234
      472236 472238 472239 473241 475242 476243 478244 479243
      480243 480241
 1.00 472218 471216 470217 469217 469220 471219 472218
 1.00 462223 462221 460221 459222 460223 462223 462223
 1.00 309778 307771 304772 299779 294785 289791 283798 283802
      285805 291810 295812 299811 302807 304804 306793 308784
      309778
 1.50 488215 487214 485213 484213 482212 481212 479213 479216
      480216 482216 483216 485216 487216 488215
 1.50 478238 477235 475236 475237 475238 477239 478238
 1.50 301796 301791 300789 299791 297793 295795 293797 292799
      290802 290805 292807 294809 297809 298808 300805 300802
      301798 301796

24HR QP VT 19/12Z
 0.01 493335 483330 478328 471327 466325 461322 450317 447313
      446311 443310 434313 429314 424312 420303 419299 414296
      412291 413284 418275 424268 448236 454227 455220 458214
      460210 464207 469206 472203 478196 481191 483184 480174
      473166 470162 471154 469148 472148 477150 481150 481145
      477142 474138 473132 474129 477130 482130 486131 490134
      494138 501142 506144 511147 514150 519152 526159 529163
      531168 533170 535166 536156 537148 539149 542162 542168
      543174 545185
 0.01 360089 357087 353088 350088 348085 346083 344085 344088
      342090 341089 334088 333092 334097 338102 341111 344115
      345121 350119 354120 349112 346106 345101 348096 354095
      360089
 0.01 351747 349746 345748 341750 338755 334761 330765 327769
      321778 316783 310782 315770 315759 312751 310747 306742
      301742 291749 282746 276745 271747 268750 266756 262768
      260773 257778 255783 251788 247790 243794 237805 235809
      234815 236830 240835 244837 248842 256841 262838 267836
      277838 286841 291838 291835 289834 277831 267829 262827
      258823 254818 256818 259819 265820 270818 276815 282814
      293817 307816 311814 316811 320806 323802 326797 328792
      334781 344759 351747
 0.01 328122 327120 325117 323117 320115 318112 317112 315112
      314116 314118 315122 315125 317127 320128 323128 325126
      327124 328122
 0.01 286962 285961 281961 277961 275962 273964 271966 271970
      272973 275973 278972 280970 282968 284966 285964 286962
 0.25 507303 503298 499292 494290 487292 470310 464311 462309
      460305 454301 450296 446295 443292 441288 440286 438284
      434283 430280 430277 431272 434265 442254 450242 457232
      460224 462218 466213 471209 480201 491196 495197 502202
      508209 513214 515222 520236 523245 527251
 0.25 536209 537201 536194 534183 530173 524164 517157 511151
      501147 493142 490139 488138 486140 491148 494151 495155
      494158 489157 485159 481163 482167 487174 490180 492184
      497187 502188 505191 507197 508202 513203 521210 525214
      529215 534214 536209
 0.25 304810 305805 302802 298796 295790 292787 292782 291777
      289772 285767 283765 279764 275764 272767 270775 268782
      256791 250802 254806 258813 267805 282809 295813 301812
      304810
 0.25 246813 246811 246809 245808 245809 243810 243811 242813
      240815 240816 241817 242819 244817 245815 246813 246813
 0.50 524260 521248 516235 512223 510217 507213 499205 489200
      480204 472210 469214 466219 464226 461233 454242 452248
      451257 452271 453285 453289 456290 460288 460293 461296
      463296 469292 477284 484279 490280 496283 498284 504284
      509283 513289
 0.50 532206 533195 532188 528175 525169 521163 512156 509155
      506156 505161 503161 497161 493163 488167 490173 499182
      504184 509189 516198 520204 524207 530208 532206
 0.50 291803 288793 285785 280777 278776 275779 271787 264791
      260795 260799 262801 266800 274802 281805 290805 291803
 1.00 527199 528193 527188 525179 524175 522170 520168 517169
      514173 511170 508168 504166 501167 501171 505178 509183
      515188 519194 522197 525200 527199
 1.00 517265 519256 517249 514237 510227 505216 499208 494206
      488205 479208 476210 473214 474219 479222 485224 488229
      487232 484232 482229 478226 472226 466232 462237 461243
      461249 463254 467265 470269 474270 479270 484268 488268
      493272 496276 501278 505275 508269 512269 515270 516267
      517265
 1.50 515253 511233 507224 502215 496208 488208 479210 477212
      476215 478218 486223 489226 490229 489235 484233 478228
      475228 471229 468232 466237 466243 468248 473254 481261
      485262 490264 496270 501273 504270 508261 515256 515253
 1.50 505255 505252 504250 504249 503248 501247 500245 498245
      497247 497250 499252 499253 500254 502255 503256 505255
 2.00 510246 510241 509235 506226 502217 499213 494210 490209
      485210 481211 478215 490227 493236 491237 488235 483234
      480230 475229 471231 469235 469239 469243 471246 475249
      489260 497267 501268 502263 495246 495241 499242 506248
      510246
 3.00 506240 505234 502227 500219 497214 492211 487211 484212
      483214 483217 486220 491224 493230 496236 500240 504241
      506240
 3.00 495257 494251 491244 488239 486237 482237 478231 474231
      473233 471236 472240 476245 481248 485251 490255 495257
 4.00 500235 500229 499224 498219 495215 492214 487213 485216
      488219 491222 493228 495231 498235 500235
 4.00 491250 491247 490244 488241 485240 483241 482239 480236
      478233 474233 473236 473239 476242 478243 481245 484246
      486248 489251 491250
 5.00 498229 498226 498224 497224 497221 496220 495218 493219
      492220 493222 493225 494227 494228 495229 497231 498229
 5.00 480241 480239 479236 477234 476234 475234 474237 475239
      476240 477241 478242 480242 480241
 6.00 496226 496225 495223 494222 494223 495226 496227 496226
 6.00 479238 477236 476235 475237 475238 477239 479239 479238

$$





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