Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 272211
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
510 PM EST SAT DEC 27 2014


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID DEC 28/0000 UTC THRU DEC 31/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1

...LATE AFTERNOON UPDATE...

FOR QPF IN THE CONVECTIVE REGIME OVER THE LOWER MS VALLEY THE BEST
PERFORMING MODEL OUTPUT SEEMED TO BE A MIX OF THE SSEO MEAN WITH
THE 12Z NSSL WRF. THE PREVIOUS WPC FORECAST MATCHED THIS BLEND
VERY WELL IN PLACING THE MAXIMUM QPF THROUGH 06Z ALONG THE SWATH
OF GREATEST LOW LEVEL INFLOW / MOISTURE TRANSPORT FROM SRN/CNTRL
MS TO CNTRL AL. ELSEWHERE WE USED THE SSEO/NSSL BLEND TO PROVIDE
SOME RESOLUTION OF OTHER LIGHTER PRECIPITATION AREAS FARTHER NORTH
INTO THE OHIO VALLEY AND ALSO ACROSS SOUTH TEXAS AND SOUTHWEST
TEXAS NEAR THE BASE OF THE UPPER TROUGH. THE SLIGHT RISK OF
EXCESSIVE RAINFALL WAS ALLOWED TO REMAIN INTACT. THE WESTERN
PORTION MAY BE TRIMMED IN A 00Z UPDATE. -BURKE

...LOWER MISSISSIPPI VALLEY INTO THE LOWER TENNESSEE VALLEY...

THE MODELS CONTINUE TO FORECAST AN AREA OF HEAVY TO POTENTIALLY
EXCESSIVE RAINFALL ACROSS THIS AREA...ALTHOUGH THERE ARE STILL
SHOW NOTABLE DIFFERENCES AS TO PLACING THE AXIS OF HEAVIEST RAIN
(ESPECIALLY THE HIGHER RESOLUTION GUIDANCE). WPC CONTINUED TO SIDE
WITH THE SOUTHERN FRINGES OF THE GUIDANCE SPREAD...CLOSER TO THE
ENSEMBLE OF HIGHER RESOLUTION GUIDANCE (INCLUDING THE CANADIAN
REGIONAL MODEL)...BUT MOST NOTABLY CORRELATING TO THE 4 KM
NSSL-WRF AND NAM CONEST RUNS. WPC IS NOT QUITE AS ROBUST AS THESE
MODELS WITH RESPECT TO AMOUNTS.

CONVECTION SHOULD CONTINUE TO EXPAND AND INTENSIFY ACROSS THE
LOWER MS VLY AND INTO THE LOWER TN VLY THIS AFTN AND
EVENING...ALONG AND AHEAD OF A FRONTAL BOUNDARY MOVING SLOWLY
EASTWARD. PW VALUES AND 850-700 MOISTURE FLUX WILL CONTINUE TO
RISE ACROSS THE AREA...AND AS WITH PRIOR EXPECTATIONS...PEAK
AROUND 2.5 STANDARD DEVIATIONS ABOVE THE NORM OR ABOVE THE 75TH
PERCENTILE. DEEP LAYER FORCING WILL ALSO BE FAVORABLE. A KEY
CONTRIBUTOR TO THE EXCESSIVE RAINFALL THREAT WILL BE THE POTENTIAL
FOR TRAINING CONVECTION... AS FOR A WHILE (THIS EVENING AND
OVERNIGHT AHEAD OF THE HEIGHT FALLS) SOUTHWESTERLY LOW LEVEL FLOW
(30-40 KTS) WILL BE ALIGNED NEARLY PARALLEL TO THE MEAN 850-300 MB
WIND...THUS SUPPORTING SLOWER MOVEMENT OF CONVECTIVE CLUSTERS AS
THEY ATTEMPT TO PROPAGATE UPWIND PER DIMINISHING CORFIDI VECTORS.
THE MAIN INHIBITOR TO THE EXCESSIVE RAINFALL THREAT -- AT LEAST IN
TERMS OF SHORT TERM RAINFALL RATES (1-3 HOURS) WILL BE THE LACK OF
DEEP LAYER INSTABILITY... PARTICULARLY OVER THE NORTHERN PORTION
OF THE AREA WHERE MUCAPES WILL STRUGGLE TO REACH 500 J/KG. THIS IS
THE KIND OF SETUP THAT WOULD LIKELY FAVOR LONGER DURATION FLOODING
(6-12+ HOURS)...THOUGH THE DECISION TO MAINTAIN A SLIGHT RISK FOR
SHORT TERM EXCESSIVE RAINFALL WAS BASED ON CONTINUITY AS WELL AS
THE LATEST SSEO 40 KM NEIGHBORHOOD PROBABILITIES OF FLASH FLOOD
GUIDANCE EXCEEDANCE. THE PROBABILITY OF 3-6 HR QPF EXCEEDING 3-6
HOUR FFG IS GENERALLY 20-30 PERCENT OVER A LARGE PORTION OF THE
AREA.


...NORTHERN TENNESSEE VALLEY INTO THE OHIO VALLEY...

NORTH OF THE AXIS OF HEAVIEST RAINFALL...A SWATH OF MODERATE
PRECIPITATION AMOUNTS ARE EXPECTED ACROSS TN INTO THE OHIO VALLEY.
A MULTI-MODEL CONSENSUS SUPPORTS AREAL-AVERAGE AMOUNTS BETWEEN .25
TO 1.00 INCH ACROSS THIS REGION...WITH HIGHEST AMOUNTS BEING THE
FARTHEST SOUTH (TN) AND LOWEST AMOUNTS BEING FARTHER NORTH (NRN OH
AND WRN PA/WV).


...UPPER GREAT LAKES INTO NORTHERN MAINE...

THE FIRST AREA OF HEIGHT FALLS TO EJECT OUT OF THE ROCKIES UPPER
TROF WILL CONTINUE TO PUSH NORTHEASTWARD INTO THE UPPER MS
VALLEY/UPPER LAKES REGION TODAY...THEN ACROSS SOUTHEAST
ONTARIO...SOUTHERN QB...AND TOWARD NORTHERN MAINE TONIGHT INTO
EARLY SUNDAY.  MODEL CONSENSUS IS FOR A STRIPE OF GENERALLY LIGHT
ADDITIONAL PRECIPITATION AMOUNTS (AREAL AVERAGE AMOUNTS .10 TO .25
INCH) FROM EASTERN UPPER AND NRN LOWER MI EASTWARD INTO UPSTATE NY
AND NRN NEW ENGLAND.


...PACIFIC NORTHWEST INTO THE NORTHERN ROCKIES...

MODELS ARE IN GOOD AGREEMENT WITH THE SOUTHEAST PUSH OF WELL
DEFINED HEIGHT FALLS FROM COASTAL B.C. INTO THE PACIFIC
NORTHWEST/NORTHERN ROCKIES.  WHILE PW VALUES ARE NOT EXPECTED TO
BE ANOMALOUS DAY 1 AHEAD OF THESE HEIGHT FALLS... GENERALLY AT OR
SLIGHTLY ABOVE AVERAGE... THE ONSHORE WESTERLY TO WEST
NORTHWESTERLY FLOW WILL BE STRONG AND PERSISTENT THROUGH THE DAY 1
PERIOD (ESPECIALLY THROUGH SAT AM).  THIS WILL SUPPORT WIDESPREAD
MODERATE TO HEAVY PRECIPITATION TOTALS IN THE FAVORED TERRAIN
AREAS FROM NW WY...NW MT...NORTHERN ID...NORTHEAST OREGON AND
WESTWARD FROM THE WA/OREGON CASCADES TO THE WA/OREGON COAST RANGE
AND OLYMPIC RANGE. IN TERMS OF THE QPF DETAILS...THE HIGH
RESOLUTION GUIDANCE WAS UTILIZED CONSIDERABLY GIVEN THE BETTER
RESOLUTION OVER THE TERRAIN.


DAYS 2/3...


WEST/PLAINS
~~~~~~~~~~~
THE GUIDANCE REMAINS DISPERSIVE WITH THE LIGHT PRECIPITATION
AMOUNTS EXPECTED ACROSS THE REGION DUE TO A PROGRESSIVE UPPER
LEVEL TROUGH SQUEEZING OUT WHATEVER MINIMAL MOISTURE REMAINS
ACROSS THE REGION AND AN ATTENDANT ARCTIC FRONT DROPPING DOWN THE
FRONT RANGE OF THE ROCKIES WHICH CAUSES SOME LIGHT TO POSSIBLY
MODERATE UPSLOPE SNOWS IN THE HIGH PLAINS.  DID NOT GO OVERBOARD
ON AMOUNTS, AND RELIED HEAVILY ON 12Z WPC QPF CONTINUITY WITH SOME
INPUT FROM THE 12Z ECMWF ENSEMBLE MEAN, 12Z CANADIAN, 12Z GFS, 09Z
SREF MEAN, AND 00Z GEFS-BASED QPF REFORECAST.  THE PATTERN ACROSS
NORTHERN CALIFORNIA BEST REFLECTS THE 12Z CANADIAN GUIDANCE.


GULF COAST/EAST COAST
~~~~~~~~~~~~~~~~~~~~~
AS TROUGHING ACROSS THE LOWER 48 BROADENS, INFLOW FROM THE GULF OF
MEXICO WEAKENS THROUGH THE PERIOD AS IT BECOMES MORE WESTERLY AND
MINIMAL WITH TIME.  USED 12Z WPC QPF CONTINUITY, THE LATEST
IN-HOUSE PSEUDO-BIAS CORRECTED ENSEMBLE QPF, AND THE 00Z
GEFS-BASED QPF REFORECAST AS GUIDES IN THIS REGION, WHICH ALLOWED
FOR A WETTER TREND ACROSS MS.


HURLEY/ROTH

GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV

24HR QP VT 29/00Z
 0.01 533168 532161 529157 527153 524150 519140 515132 509121
      505111 498092 489074 485065 483059 483056 485053 490056
      492053 491046 489040 485031 483027 479027 474026 472029
      470027 465019 463015 459012 456008 453007 446007 444012
      442015 441022 438026 436031 436042 437046 436050 435052
      433054 428054 425055 421059 417060 409057 404055 400055
      397057 393061 389063 387067 387074 390077 392080 392077
      395077 401082 404086 405093 405098 404104 389114 386117
      384122 388123 390121 391118 393119 397122 402129 407131
      409128 414129 416130 416132 415138 415143 414146 412147
      407149 400155 402162 403165 405167 409169 412172 414177
      418185 421188 424193 420198 416199 411200 409205 410207
      413208 414212 414215 410225 405237 400243 408249 415254
      420258 424258 435260 439259 444260 454263 458263 464264
      468266 471269 478276 482275 484273 486268 487260 489256
      491257 493261 497273 498277 502275 504272 506264 508249
      509235 509222 509217 511213 513208 518198 522186 524174
      526169 529171 533168
 0.01 509663 506652 504639 501630 500627 497625 493624 488626
      476627 456634 431649 426661 421678 415676 410672 401678
      392687 373710 359729 360734 365730 366743 361764 359773
      356781 351792 341808 333821 327831 321834 320830 314834
      309847 308858 306869 300877 291884 287884 289879 290874
      288871 282874 273879 269891 264920 256941 241956 235965
      237972 234979 233987 233996 234003 237011 241018 244020
      248021 261017 272007 279008 283015 286034 287037 287042
      288045 287050 286054 283057 280060 282063 285070 293071
      303061 309046 312038 313026 315018 314015 312017 308018
      307014 303007 298993 303988 309983 319971 327958 332953
      337948 339945 341945 343947 345946 352942 358938 370928
      377922 382916 397892 406878 412864 420847 425833 429824
      431819 434816 440811 445810 447807 455805 461808 467811
      471816 476819 485823 494819 504798 507769 510740 513719
      511700 509678 509663
 0.01 490196 487193 486190 483187 479186 472186 465187 459192
      457194 455199 457203 460202 467202 474200 479197 486196
      490196
 0.01 477847 476838 474835 474830 470828 467833 463831 462834
      462839 462856 465871 466876 464880 463888 465896 466900
      468900 473888 475882 475872 471858 475853 477847
 0.01 466974 466972 466969 466967 466966 464964 464962 464961
      462959 460959 459959 458959 458962 458964 458966 459969
      460971 460972 462974 464976 464977 464976 465974 466974
 0.01 451850 451848 451845 451843 451840 449840 449841 447843
      447846 447848 447850 448853 450853 451850 451850
 0.01 445082 444078 441077 436074 434073 434071 436069 440068
      440065 437064 431061 428066 424066 422067 418083 416090
      416095 417097 420103 425102 427101 427098 423093 423088
      426088 428090 433093 436094 438091 441091 440086 444084
      445082
 0.25 494671 494668 494666 493666 491666 489666 488666 486667
      485667 484669 485670 486671 487671 488673 489673 491675
      492674 494671 494671
 0.25 501152 501143 499135 493122 488117 484112 481111 480107
      478099 469089 463104 461105 459107 462112 468117 470119
      470121 466126 465131 462133 456134 451136 449141 447143
      441142 438143 436146 434154 436161 439167 443172 445178
      442184 441189 441194 443196 447199 450198 452195 456189
      460185 465181 466176 468173 473170 479169 485167 487166
      490162 492158 495162 498162 499158 501152
 0.25 491216 490210 486207 476206 468210 459212 439213 431218
      426219 422222 422225 426228 429233 429236 427237 424240
      424242 427243 436242 457242 466241 478245 480244 480241
      479234 476231 471232 469234 467232 468227 472223 476222
      485222 491216
 0.25 497734 493724 491716 493707 486694 477686 476683 475673
      474665 468664 463663 460664 460669 461671 465674 470676
      472678 474684 472689 472694 475700 472706 466715 465718
      467720 470724 472730 473737 471751 474754 477758 478774
      482774 486770 488765 490757 494746 496739 497734
 0.25 480125 480122 479120 478122 478123 479125 480125 480125
 0.25 457232 458229 458228 456228 454228 453226 452227 451229
      450229 448231 448232 450233 452233 454232 455232 457232
      457232
 0.25 455653 454651 451650 448650 446651 444652 441655 440657
      442661 444662 446664 449662 451661 452659 454656 455653
 0.25 454115 455102 451099 449098 446099 443100 438099 430103
      423106 424113 421116 422122 425126 428125 432121 436119
      441121 446121 450120 453117 454115
 0.25 445713 444712 442713 442716 443716 444715 444714 445713
 0.25 431171 430170 430168 430166 429165 428163 428162 427163
      426165 427168 428170 429171 430171 431171 422143 421142
      421143 422143 404114 403113 403114 404114 407110 407108
406109 407110 407110
 0.25 414073 413072 413071 412070 410068 409068 410069 411070
      412072 412073 413074 414073
 0.25 412800 411795 409793 405793 401795 396794 393795 387798
      380802 374804 366807 362812 360814 358813 353813 346815
      341820 338825 330839 323849 316861 310873 303885 296897
      294905 293914 286925 283931 279935 274941 270947 263957
      259963 256969 250981 244996 243004 244010 249012 252010
      257006 268998 277991 287982 298975 306966 316955 320950
      325945 333935 341925 347920 350914 354908 358903 362896
      365890 381868 389856 395844 401830 407815 412800
 0.25 297050 297048 296048 295050 296051 297050
 0.25 439757 438755 437751 438748 438746 435744 432744 430745
      428748 427750 427755 428759 431759 434761 436761 437760
      439757
 0.50 462181 463176 461174 458175 456175 455172 453169 452167
      450169 449173 450175 452178 453181 453186 455187 456186
      458184 460183 462181 444162 444161 443162 444162 444162
 0.50 486215 486212 483210 476209 472211 467213 462213 459215
      456215 446216 442215 439216 435219 430221 430226 431229
      436230 440228 450225 455223 460225 463226 465224 469221
      473219 480218 483218 486215
 0.50 485143 487139 486134 484133 481131 478131 475131 473131
      471135 472139 475140 478141 480142 483144 485143
 0.50 482161 479156 474153 469148 466143 460142 458143 457147
      457155 458159 461160 466164 467166 471166 475164 481163
      482161
 0.50 460237 458235 457235 455236 454236 455236 456238 458238
      460237
 0.50 447114 447110 446107 444105 441104 438105 435106 433107
      432111 435114 438113 440115 443116 445115 447114
 0.50 436756 435756 436756
 0.50 386836 383831 379829 378824 377822 374822 369824 363828
      360829 358828 354824 349824 345826 340829 337833 330844
      325852 315871 304890 302895 301898 302900 303907 302913
      301920 297926 292933 284940 280943 277947 271956 265966
      259975 255984 256989 259992 265991 269988 277982 284975
      301962 308955 316949 323942 330932 335923 342915 347906
      349901 353897 361889 364877 374855 381846 386836
 1.00 447219 447218 445218 444217 442216 440217 440219 441221
      443221 444220 445220 447219 447219 476215 475214 474214
475215 476215 454218 454219 454218
 1.00 465157 465156 464154 463154 462151 461153 462155 462156
      463157 465157 465157 460180 459179 458180 459181 460180
 1.00 351855 352849 351843 349840 346837 341837 338839 333846
      329853 326860 320877 317884 313892 312896 312902 309909
      309915 312917 317917 321915 325908 331902 335897 338888
      342881 346873 351856 351855
 1.00 321930 321925 317926 314928 310932 308935 305938 303943
      307946 310945 314942 317939 319935 321930 321930
 1.00 294954 294949 289947 283950 277956 272964 268971 266976
      264979 264982 268980 274976 280970 286964 292958 294954
 1.50 342856 342846 341842 339843 334848 331854 326866 321881
      320887 316893 315899 314905 313907 313912 316913 319910
      325898 331886 337873 341860 342856
 2.00 340854 338848 334852 331857 329863 326870 325874 324879
      325882 330878 333874 335868 338863 340856 340854

24HR QP VT 30/00Z
 0.01 530200 527188 527181 525176 518162 511154 504148 499145
      495140 483123 478112 475101 468071 462045 459032 456022
      451010 448998 445993 443986 438972 435963 432962 428966
      423963 421970 417973 412974 400959 396969 391983 388989
      385993 381004 373026 365047 364051 363054 364059 370072
      374081 375086 376092 377096 376098 379098 384095 389094
      392097 395103 394107 389109 378114 374126 373141 375142
      377140 379135 382130 386126 391124 395124 397124 398127
      397134 400129 403127 409125 414127 417129 418133 416143
      408147 404151 402155 412157 413169 413175 412178 409175
      406176 408180 428189 431185 433179 439171 441168 442169
      445174 448179 447180 443181 439183 439185 438189 437192
      439198 442203 443205 445204 447201 446197 446193 448191
      452195 454194 456188 463180 463176 462174 456172 456166
      457162 459162 464164 467169 475167 479168 482170 482174
      484177 495180 501183 501191 501196 506193 509192 515193
      530200
 0.01 501222 498213 496210 493210 488209 485206 478208 474209
      470211 467213 462212 458213 453212 448210 444211 437214
      433216 428215 425216 422217 421219 422224 425227 427231
      430232 433232 440231 455226 459227 464225 470220 473218
      477217 483219 488220 491215 495218 498221 501222
 0.01 496156 494151 491149 488145 485142 480141 475141 472141
      471143 473145 475149 478152 482155 485158 490160 493162
      495158 496156
 0.01 483247 482241 480236 477231 473232 464235 458232 453233
      448233 443234 435238 433242 438245 447243 457243 462242
      468243 479247 483247
 0.01 486879 486871 484866 482863 479859 476852 473848 469847
      467844 463839 460834 457827 455818 454811 450804 448799
      446797 446802 444805 442807 436810 432813 428819 428823
      430826 437823 441822 443825 445827 447833 447840 447848
      435869 442868 444870 447870 452865 459864 462871 464874
      464878 466883 466888 464895 466903 468905 470905 474900
      477895 480890 483887 486879
 0.01 467127 463124 463121 460119 457118 455120 450119 447120
      444118 440116 436114 433119 427127 426134 423141 425147
      429151 433152 434145 436138 439134 443131 447130 456127
      464129 467127
 0.01 430243 429242 428240 428239 426238 425238 423237 421237
      419236 418236 416236 415236 416237 416239 417240 418242
      420244 422244 423245 425244 427245 428245 429244 430243
 0.01 428180 429178 428176 426175 426177 425179 426179 428180
      428180
 0.01 419109 420100 420095 419091 416085 413080 411078 409080
      406079 404081 400088 400092 401095 405096 406095 410099
      412106 412109 416111 419109
 0.01 402216 400208 394203 388199 383195 376190 374188 369187
      367187 370190 375196 380201 385206 390211 396215 402216
 0.01 409742 397703 397680 397676 396670 391662 387656 381662
      377670 369676 363683 360689 352704 313756 308763 312768
      316770 313774 309784 310800 302815 298822 294828 290835
      281841 275846 269851 263855 259857 255858 240865 233868
      229870 229878 232887 236894 240900 244901 247902 264905
      271901 280896 282899 281902 281908 282913 284916 288923
      294927 297929 302929 312929 317928 322926 330922 337919
      344915 355905 360898 364892 367887 368883 373875 379858
      386843 392826 397819 401807 403788 407768 409742
 0.25 441151 440149 439149 438148 438151 439152 441151
 0.25 484212 482211 481210 480211 479212 478213 479213 480214
      482214 483214 484212 484212
 0.25 478241 478240 478238 477236 476235 475234 474236 474237
      475239 475240 477241 478241 478241
 0.25 463221 459217 454218 449218 442216 439217 437218 436222
      433222 430225 432227 435228 440227 445225 450225 455223
      458224 462223 463221
 0.25 459237 458236 457235 455236 455237 456238 458238 459237
 0.25 454238 453237 451236 450236 448236 447236 448237 449239
      450239 451239 453239 454238
 0.25 444108 442106 441108 442109 444109 444108
 0.25 417118 417116 414113 408115 409110 408103 405106 401110
      396112 391114 394116 397116 404118 411119 415120 417118
 0.25 413071 413068 413066 413064 412063 410062 409061 407062
      405062 404063 403063 402065 402067 402069 403071 405071
      406072 408073 409073 410072 412072 413071
 0.25 402074 402072 401070 399070 398070 397071 396073 396076
      397077 399076 401075 402074
 0.25 390716 390707 389699 386690 383689 381691 375699 369710
      362719 356731 354735 353740 354744 352750 349754 337775
      333786 329798 324809 317819 314823 309826 302835 296843
      288853 282862 282869 285870 288868 290870 292876 292878
      294879 300876 308870 310868 312871 313877 315883 318887
      322892 324894 329894 336888 344880 351871 359861 365853
      371842 376832 381819 384806 388794 388782 388763 388749
      389735 390716
 0.25 394066 395064 394063 393063 392064 391064 389064 387065
      387066 388068 387070 387071 387072 387073 388075 389075
      390076 392076 392075 393073 394071 394068 394067 394066
 0.50 460222 460220 459219 458219 457222 458223 460222
 0.50 384726 384716 382710 379708 371720 368726 365734 363742
      361750 356765 351780 346796 346805 348812 346820 342827
      336841 334849 335857 336867 340868 342866 351854 360843
      364838 368830 372825 374822 375817 376809 379800 380793
      381783 382774 383769 382763 381752 381743 384726
 0.50 316834 314832 311835 308838 305842 303845 301848 301852
      302855 306855 308852 311849 312845 314841 315836 316834
 1.00 371790 371789 370788 369787 367787 366789 366790 365791
      364793 364794 364796 363798 364800 363802 363803 365803
      366802 367801 367800 368798 369797 370796 370795 370793
      371791 371790


24HR QP VT 31/00Z
 0.01 507148 497140 486132 482126 479119 477102 475094 471089
      468091 466094 466105 467122 470130 471133 473136 478140
      484143 489149 494153 496155 500155 504152 507148
 0.01 488881 488874 486866 484859 481854 475843 469836 462826
      458821 456815 455806 450806 446809 440808 433814 430818
      430821 432823 436825 441830 444833 447838 449841 448845
      446848 445851 445854 443856 441861 440866 443865 447867
      450870 455872 463881 465886 465893 468900 470901 472898
      478891 483882 488881
 0.01 463178 458160 457152 453144 447140 443139 438136 436136
      433140 429141 425138 423135 423129 424120 425115 424112
      427111 430112 433114 436113 444113 450116 455118 459116
      459109 458101 456091 456086 455081 450074 445070 441069
      436069 434073 433076 436076 439079 443088 444095 438093
      428091 425089 424090 424093 427096 429099 430102 427102
      423102 420104 418106 419107 420109 418110 414108 411105
      411101 412096 410092 409087 409080 413076 414073 416069
      417062 414054 411048 410040 411033 411027 410024 410014
      410008 409005 408993 407988 407982 405975 402966 398960
      391956 385959 382963 380968 378976 378985 378990 376993
      372997 367001 362007 358013 354021 350024 349027 346035
      345040 344043 346050 352055 359059 365063 371071 373074
      373079 376084 377093 376099 373107 369114 363119 356117
      349113 345105 339090 338087 335085 333088 335091 334094
      331097 327096 323093 317090 315090 316095 320100 318103
      314101 312101 312105 313108 313115 314118 318119 323114
      328114 331116 337121 340123 342127 347132 349132 348128
      346123 350121 352123 359128 370138 372140 375142 376148
      377153 380153 386152 392151 398147 400146 399139 397136
      394133 390134 385134 383133 383129 385126 393124 399125
      404127 407145 405154 406158 406164 408171 412176 415184
      415188 414191 411195 408194 402195 395198 391199 390198
      378189 370185 366184 362186 358185 360188 369193 374197
      378201 384205 387210 393215 399219 402221 403224 401225
      398226 394226 386223 380226 379232 379235 383237 390240
      398245 418247 424247 429245 433244 436241 439234 441223
      443220 447219 451217 454214 455211 457209 458203 459192
      461183 463178
 0.01 440665 437660 432659 424665 418669 413670 408674 403680
      399677 397673 399660 400655 400653 396651 393655 384663
      373663 367663 362667 359671 354674 343688 339698 333706
      322725 316735 312739 309743 297757 289774 280794 277800
      273797 268796 261796 258798 253797 248798 246798 245801
      247809 252811 255814 264820 257828 253831 249836 249842
      246847 236860 231870 230880 230886 232892 238901 243903
      249901 257893 267880 279865 285855 291847 300840 303836
      305830 318818 324811 331803 334799 339800 343801 348804
      349808 347811 344815 339819 336823 336828 340831 343834
      343838 343842 344843 350843 359837 374824 382814 388805
      394799 397796 397788 399784 400777 401771 403765 404737
      404729 407724 409718 412712 421695 426687 431677 440665
 0.01 439762 439757 439753 438748 436748 435751 435754 435758
      434763 434766 433771 435773 437772 438770 438765 439762
 0.01 424801 424798 424796 423794 421796 421797 420799 419801
      419803 418804 418806 419809 421807 421806 422804 423803
      424802 424801
 0.01 404095 403090 402086 399082 396085 394089 392094 390100
      390107 390110 392110 396108 398106 402102 403097 404095
 0.01 375223 374218 370216 366217 364213 358207 351201 347194
      345189 343191 344202 344205 347206 351208 357214 364219
      373224 375223
 0.01 343182 343180 344178 344175 343173 343171 342170 341168
      339168 340170 340172 340173 341175 341177 341179 341181
      343182 343182
 0.01 334169 332168 330166 328165 327165 326165 327166 328166
      330168 332169 333169 334169
 0.01 293004 290995 286989 283981 281972 277964 274958 272954
      270955 266956 263957 252958 246960 237971 235975 235981
      237987 241995 247000 260007 267011 270013 274013 279014
      285014 289010 293004
 0.25 399705 391703 386703 382701 380699 376699 371700 368703
      362710 357718 352724 350727 346729 346725 348720 353713
      357707 358702 356698 354694 351698 347706 340720 332736
      325749 321758 316766 313773 312776 312781 314785 318786
      322786 325784 335772 339764 345757 349751 356747 364743
      373740 377741 380743 383744 385747 386750 389750 391746
      391741 391733 390728 391724 395715 399705
 0.25 409068 408067 407067 405067 407068 408068 409068
 0.25 391073 391070 392068 392066 391066 390066 389068 389070
      390073 391073
 0.25 289831 289828 285828 280830 267833 263837 259842 257847
      254852 250863 248869 248873 254875 257872 264864 271854
      277844 284836 289831
 0.50 335750 334749 332749 331750 331752 330755 331756 333754
      334752 334751 335750
 0.50 330761 331759 330757 329757 329759 328761 328762 328764
      329764 330762 330761

$$




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