Quantitative Precipitation Forecast
Issued by NWS

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000
FXUS04 KWBC 200858
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
458 AM EDT WED JUL 20 2016


PRELIM DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID JUL 20/1200 UTC THRU JUL 23/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR

DAY 1...

...NORTH DAKOTA/UPPER MS VALLEY/UPPER GREAT LAKES...

ANOTHER BOUT OF CONVECTION DURING THE OVERNIGHT HOURS AS A
850/700-MB SHORTWAVE MIGRATES FROM EASTERN WY INTO THE
DAKOTAS/MN...WITH SHOWERS BOTH IN WARM ADVECTION AND THEN
PRE-FRONTAL CONVERGENCE.

THE MODELS BROKE CONTINUITY TO INDICATE LIGHTER AMOUNTS IN MI/IN
SO WENT WITH THE NEWER GUIDANCE SUITE.
A COMBINATION OF RECENT HRRR RUNS AS WELL AS THE 00Z
HRW-ARW/HRW-NMM-B COUPLED WITH SOME CONTINUITY WAS USED FOR MANUAL
PROGS.


...SOUTHERN MID-ATLANTIC/SOUTHEASTERN U.S...

AS A BAROCLINIC ZONE REMAINS OVER THE LOWER
MID-ATLANTIC...ABUNDANT CONVECTION WILL CONTINUE TO  BE FAVORED IN
THE VICINITY OF THIS BOUNDARY. THE BLENDED-TPW PRODUCT SHOWS PWAT
VALUES IN THE 1.50 TO 2 INCH RANGE POOLING OVER THE CAROLINAS AND
ADJACENT LOCATIONS. THE ACTIVITY SHOULD PRIMARILY BE FUELED BY THE
DIURNAL HEATING CYCLE ALTHOUGH THERE MAY BE SOME BRIEF UPTICK IN
CONVECTION WITH ANY MESOSCALE PERTURBATION MOVING THROUGH WITHIN
THE NORTHWESTERLY FLOW ALOFT.

THERE WAS A CONSENSUS TO FOLLOW ALONG THE CAROLINA COAST WITH A
MAXIMA ALONG THE OUTER BANKS DOWN INTO SC WHERE SEA-BREEZE
CIRCULATIONS SHOULD ENHANCE ACTIVITY.


...SOUTHERN/CENTRAL ROCKY MOUNTAINS/HIGH PLAINS...

WITH A HIGH AMPLITUDE RIDGE CENTERED OVER THE SOUTHERN/CENTRAL
PLAINS...RETURN FLOW ON THE WESTERN EDGE OF THE ANTICYCLONIC
CIRCULATION WILL DRAW ABUNDANT SUBTROPICAL PACIFIC MOISTURE
NORTHWARD. THE ENHANCED MONSOONAL MOISTURE IS FORECAST TO MOVE
THROUGH THE FOUR CORNERS REGION TO TRIGGER SCATTERED TO NUMEROUS
SHOWERS/THUNDERSTORMS ACROSS THE REGION.  LOCALLY HIGHER RAINFALL
AMOUNTS ARE LIKELY IN REGIONS OF UPSLOPE FLOW.  MANUAL PROGS USED
A BLEND OF CONTINUITY WITH THE 00Z NAM/GFS QPF.

...GULF COAST/FL...

PERSISTENT LOW/MID-LEVEL EASTERLY FLOW WILL CONTINUE TO DRAW
ENHANCED ATLANTIC MOISTURE TOWARD THE FL PENINSULA. MUCH OF THE
CONVECTION SHOULD ORIGINATE ALONG THE SEA BREEZE CONVERGENCE ZONES
AND QUICKLY MIGRATE WESTWARD WITH THE PREVAILING EASTERLY FLOW.
BRIEF HEAVY DOWNPOURS ARE LIKELY GIVEN THE TROPICAL AIR MASS IN
PLACE.  MANUAL PROGS BLENDED CONTINUITY WITH THE GFS/CANADIAN
REGIONAL GEM.



DAYS 2/3...


...UPPER MIDWEST-UPPER GREAT LAKES (DAY 2)...

THE UPPER RIDGE WILL FLATTEN SOMEWHAT ACROSS THE UPPER MS VALLEY
AND UPPER GREAT LAKES REGION THU AND THU NIGHT AS THE UPPER JET
STREAK AND ASSOCIATED SHORTWAVE ENERGY DROPS INTO SOUTHERN ONTARIO
AND FAR NORTHERN PORTIONS OF THE UPPER MIDWEST-UPPER GREAT LAKES
REGIONS. WHILE A BIT SOUTH OF WHERE THE MOST FAVORABLE DYNAMICS
(LEFT EXIT REGION UPPER JET FORCING) IS EXPECTED...SUFFICIENT
UPPER LEVEL DIFFLUENCE COMBINED WITH THE ROBUST DEEP-LAYER
INSTABILITY (MUCAPES 2000-3000 J/KG) AND ANOMALOUS PW VALUES
(NEARING 2.00" OR ~2 STANDARD DEVIATIONS ABOVE NORMAL) WILL
NONETHELESS FAVOR  ORGANIZED/WIDESPREAD CONVECTION SOUTH OF THE
UPPER JET AXIS ACROSS EASTERN WI AND OVER MI THU AND THU NIGHT.
WPC USED A MULTI-MODEL BLEND WITH THE QPF DURING DAY 2...HOWEVER
WAS A BIT MORE PROGRESSIVE WITH THE AXIS OF HEAVIEST RAIN COMPARED
TO THE GFS...WHILE ALSO FARTHER SOUTH COMPARED TO THE ECMWF
(TOWARD THE GREATER DEEP-LAYER INSTABILITY). STRONG WSW LOW-LEVEL
INFLOW IS NOTED BY LATE THU (40-50 KTS)... WHICH WILL VEER W-NW
OVERNIGHT INTO EARLY FRI MORNING. THIS SETUP WOULD FAVOR MORE
DOWNWIND PROPAGATION AND THUS A PROGRESSIVE MCS. GIVEN THIS ALONG
WITH THE DRY ANTECEDENT CONDITIONS/CURRENT SHORT TERM FFG...IT
WOULD APPEAR THE RISK FOR EXCESSIVE RAINFALL WOULD BE
MARGINAL/ISOLATED AT BEST.


...NORTHERN PLAINS (DAY 3)...

A SHORTWAVE TROUGH WILL PUSH EASTWARD ACROSS THE NORTHERN ROCKIES
AND NORTHERN HIGH PLAINS FRI-FRI NIGHT. THE UPPER LEVEL DIFFLUENCE
OUT AHEAD OF THIS SYSTEM... ALONG WITH THE INCREASING
RIGHT-ENTRANCE REGION UPPER FORCING VIA THE UPPER JET STREAK IN
SOUTH-CENTRAL CANADA...WILL FAVOR THE DEVELOPMENT OF WIDESPREAD
CONVECTION (LIKELY MCS) ACROSS THE NORTHERN PLAINS. THERE IS A
FAIRLY GOOD SIGNAL FROM THE GLOBAL GUIDANCE FOR HEAVY TO
POTENTIALLY EXCESSIVE RAINFALL...HOWEVER AS IS TYPICAL 48-72 HOURS
OUT...THE LATITUDINAL SPREAD AMONG THE MODEL QPFS IS FAIRLY HIGH
AT THIS POINT. WPC REMAINED ON THE SOUTHERN EDGE OF THE GUIDANCE
SPREAD...LINING UP CLOSER TO THE 03Z SREF PROBABILITY-MATCHED MEAN
THAN ANY OTHER PIECE OF GUIDANCE (INCLUDING THE 00Z GFS AND
ECMWF). CONSIDERING THE FORECAST LOW LEVEL INFLOW...MOISTURE
FLUX...AND POOLING OF BEST DEEP-LAYER CAPE...BELIEVE THE 00Z
GFS/ECMWF ARE TOO FAR NORTH (ND-NORTHERN MN) WITH THE AXIS OF
HEAVIEST RAINFALL. HOWEVER...GIVEN THE MODEL LATITUDINAL SPREAD AT
THIS POINT...FOR NOW WPC WILL INTRODUCE A RATHER BROAD "SLIGHT
RISK" AREA IN THE DAY 3 EXCESSIVE RAINFALL OUTLOOK.


...SOUTHWEST/SOUTHERN GREAT BASIN/SOUTHERN TO CENTRAL ROCKIES...

SOUTHWESTERLY LOW/MID-LEVEL FLOW ON THE WESTERN SIDE OF THE RIDGE
OVER THE SOUTHERN PLAINS WILL SLOWLY STRENGTHEN...WITH MOISTURE
FROM EASTERN PACIFIC TRANSPORTED FROM THE SOUTHWEST INTO THE
CENTRAL ROCKIES.  THE MODELS...ESPECIALLY THOSE MODELS WITH A
FINER GRID SPACING BOTH HORIZONTALLY AND VERTICALLY...SHOW A
GRADUAL UPTICK IN COVERAGE OF LATE DAY AND EVENING CONVECTION OVER
THE HIGHER TERRAIN ON LATE WEDNESDAY AND AGAIN ON THURSDAY.  THIS
IDEA WAS ALREADY COVERED BY THE PREVIOUS FORECAST...WE ONLY MADE
SOME MINOR ADJUSTMENTS TO CONTINUITY.

PETERSEN/HURLEY

24HR QP VT 21/12Z
 0.01 505237 505231 504228 501220 498214 496208 496200 497192
      499185 501175 500161 498149 493124 485094 484088 482081
      481066 480062 480057 481053 483054 488056 494057 497056
      500052 501045 501036 498029 496025 497019 498011 498004
      499998 501992 504987 505980 506963 505950 503944 502938
      502931 502921 502916 504912 506902 507893 506884 501875
      494868 485864 480854 477852 474854 465860 458861 454868
      449878 453908 454915 457920 465927 470933 473937 474944
      467978 465994 458001 452009 449014 448020 449027 452032
      454036 457042 456047 455053 452060 450068 449077 449090
      450100 451105 459125 471143 467150 464158 461164 457169
      450175 447179 450183 465178 467182 471181 478175 482169
      484167 485172 485175 484179 483188 482196 479202 476205
      471208 464211 461214 461219 465224 468224 471224 473227
      469231 467233 463233 461236 462239 466242 472243 476245
      480250 482250 484247 483239 479222 483224 486230 488228
      491232 496236 499238 502238 505237
 0.01 447937 447926 447915 446908 444900 441894 439891 435885
      433882 427876 421869 413864 410860 405857 365840 363838
      364834 364828 366816 365811 366806 369802 369797 371791
      368785 367781 368778 370772 374763 377760 380759 380753
      378750 372749 369747 366744 358741 355743 351743 348745
      298800 294796 289792 278788 268787 262788 257790 252792
      248795 244798 242802 239810 238814 239821 242827 244830
      246831 251832 254831 256832 273841 280847 283850 285854
      287859 288866 289871 288877 286909 283934 279945 275950
      266958 260964 251973 249978 249982 251984 253990 255993
      265997 271997 275995 282991 288984 294975 299962 303950
      312945 315944 318944 322947 331950 344950 353949 363945
      367942 373938 377935 383936 387938 393939 406939 412938
      416936 421937 424942 429949 437955 441955 442953 445947
      447937
 0.01 428061 429058 428056 427055 425053 425056 423058 423060
      423062 424063 426063 428061 428061
 0.01 420067 419059 418052 420051 421048 420041 419034 419030
      417023 413020 408014 405015 402018 396025 394028 389026
      382035 375035 373030 368032 362038 357043 353047 352051
      354055 356058 357062 356067 338069 335072 331074 325074
      321076 321082 320085 318086 312085 309089 311095 307097
      303097 288108 285099 278093 280091 285092 290092 291089
      286088 284086 288085 289083 287081 282078 277078 275073
      271070 267067 264066 260062 259059 261056 263054 261051
      259048 258044 256039 254039 255044 258049 258051 256051
      253050 249049 249053 247057 243056 240058 241063 245065
      251070 254073 254076 247071 242069 242072 243076 245077
      251080 256089 260092 264093 267096 266098 263098 260099
      262103 270106 274108 276112 285117 288122 291124 294125
      298129 303130 307129 312130 322127 326127 328124 327120
      331118 334120 337124 344130 348135 350137 353138 360139
      363137 365133 369129 370120 370117 373115 373127 374132
      377132 386128 390123 393117 398108 399105 400102 403098
      404096 406098 407103 408099 405096 402094 400093 401090
      406089 411091 414092 415085 417080 417074 418069 420067
 0.01 386104 388102 388100 387098 385099 385102 386104 386104
 0.01 378107 377105 375104 374105 373105 373107 375108 377108
      378107
 0.25 497957 493927 491918 492908 491901 490893 487886 484885
      481887 479890 475893 471893 468895 468903 470909 472913
      482919 485924 486927 485933 485938 484945 480957 476972
      475979 474987 474998 473004 474009 478014 482018 485019
      487017 487009 486002 490987 494975 496965 497957
 0.25 438930 437925 436923 434916 431911 427906 423902 420901
      417901 413905 415912 418917 422919 427923 430929 433933
      436933 438930
 0.25 412898 401880 393874 389872 385870 374868 362868 358868
      355870 352874 346879 330891 328894 329898 331903 335911
      344918 348920 350924 354925 356923 357920 357917 359914
      361911 364910 369908 374908 378909 392910 403908 407906
      409903 412898
 0.25 403072 402068 403065 400061 399057 395055 391052 389049
      387052 386054 383054 381051 379051 381056 382059 381061
      379062 373061 368059 366064 369066 371068 373071 374075
      372081 373085 377089 381085 384086 385088 387091 389091
      391089 391086 391082 393079 395077 399077 402074 403072
 0.25 388084 389082 389079 389077 390075 388074 387074 386074
      385075 384077 383079 383081 384083 385083 386084 388084
      388084
 0.25 369108 369104 367101 365097 368093 367089 364088 359087
      358089 358093 360095 361098 359106 357110 361114 364112
      369108
 0.25 360763 358757 355754 349755 347757 336768 330775 327778
      326783 321799 317818 315822 311824 305827 301831 299836
      298840 298846 299858 301867 298879 296890 294908 294916
      295920 299923 304923 312920 316915 320894 321889 320883
      317877 315875 314871 315866 318858 325844 330834 334827
      338822 341819 343815 344803 347794 354780 358770 360763
 0.25 349114 348111 346107 345103 345096 342093 338093 338098
      339102 340109 341113 343118 345118 349114 349114
 0.25 337113 337112 336110 336108 335107 334106 334105 332104
      330103 329105 330107 331109 332110 333112 335114 336114
      337113
 0.25 279823 278817 275813 273810 272806 275803 272799 269796
      266795 260795 255797 249802 247806 246811 248815 251818
      258822 267824 276825 279823
 0.25 271091 272089 271088 269088 269089 268091 269092 271093
      271091
 0.50 491954 489954 487954 486958 484962 484964 482969 482972
      481977 481982 483982 484979 485974 486972 487967 488964
      489962 490957 491954
 0.50 381076 383074 382072 382069 381067 380066 379067 379069
      379071 378073 377076 377078 376080 375082 377083 378083
      379081 379080 380078 381076 381076
 0.50 380886 381883 379881 375880 370880 365880 361882 358885
      357890 360894 363894 369894 372893 376890 379887 380886
 0.50 364090 362089 361089 362091 364091 364090
 0.50 354771 354766 352764 348765 343768 340771 332778 329782
      328788 326799 325805 326809 331813 333813 337811 338808
      339804 343794 348785 352775 354771
 0.50 312909 312903 312896 310892 307889 304889 302891 301895
      300899 299905 299910 299915 303917 308916 311913 312909
 0.50 263800 263798 261799 260799 259800 257800 255801 254802
      252804 252805 252806 252807 253808 254810 256810 258809
      259807 260806 260805 261803 262803 263801 263800
 1.00 336793 335792 333793 334795 335794 336793

24HR QP VT 22/12Z
 0.01 505237 504229 503225 499219 496213 495207 495200 491195
      485192 482191 478192 473195 469200 468208 464210 460214
      454215 449216 444215 441219 442225 452226 458227 461228
      463226 468225 470225 466229 463228 459230 451231 447236
      447240 451241 461242 468243 471243 473242 479244 482242
      486236 488229 496236 502238 505237
 0.01 522876 521865 518855 511850 505848 499845 494840 490833
      487827 478807 474800 472795 472789 481746 483736 484725
      486714 485702 483690 482684 480680 477675 475672 472670
      470669 467670 464675 461686 448695 444698 444702 444710
      441713 436714 433717 432725 433728 433731 432735 430745
      418756 414762 412770 410786 408799 408812 407817 407824
      406833 404837 402841 397848 389865 388875 389879 388886
      388890 387893 387900 389904 390906 393906 396906 399904
      413898 416897 421897 425906 426916 425922 423927 415942
      412947 410951 406961 404971 401980 400993 404000 406008
      410009 411012 411018 410021 407019 401018 397020 396025
      393029 391034 393039 388039 385037 380036 378035 375038
      369033 364025 362026 359029 353035 349040 345048 343051
      340053 331053 326056 329060 336061 339061 340064 337068
      333070 323069 312068 307068 304069 300071 300075 297085
      297088 294088 290086 282084 271083 269085 270089 271093
      274096 285105 289108 296111 302117 309122 317127 325127
      329119 334119 337121 342129 346131 350134 353135 356134
      364132 367129 369126 366117 368112 373116 373127 374133
      382128 386125 388122 400111 405112 407110 410106 411103
      411098 408096 402095 400092 402088 405091 408092 411088
      412082 417077 419074 420067 420062 418059 416055 418052
      420049 420045 417038 415035 417032 422037 426039 430040
      434042 439043 446039 450030 452023 455019 457023 461026
      464018 465013 467008 468004 469998 472989 474984 474979
      478971 482957 496915 500904 505896 509890 516885 520881
      522876
 0.01 499149 500134 499120 497108 495094 490071 488060 486053
      483049 477044 473046 471051 471058 472063 472071 473078
      476087 481097 485105 489117 489124 487128 484132 479134
      477137 478140 482145 486148 489151 493152 497151 499149
 0.01 428061 429058 428056 427055 425053 425056 423058 423060
      423062 424063 426063 428061 428061
 0.01 431971 431968 431966 430964 429966 428967 427968 426971
      425973 425975 426977 427975 428975 429973 431971
 0.01 387102 388100 387098 385099 385102 386103 387102
 0.01 378107 379105 377103 375104 374105 373105 373107 375108
      377109 378107
 0.01 372824 372819 370815 367808 365800 364792 363781 364772
      363760 362755 358752 351753 349754 347758 340768 336774
      334780 324794 321799 316804 311807 308809 304808 297808
      292804 290800 286797 281792 275789 269786 258785 249787
      243791 238795 235802 236812 237820 239825 243830 249835
      253839 259844 265848 272849 279847 284844 285842 284840
      283837 285836 289836 294840 295855 299873 300879 300888
      294893 291896 290900 291910 293918 293928 294931 295936
      297943 301945 305945 308944 313940 318933 321931 326930
      338925 349919 355915 360910 369898 373891 374883 372878
      367875 363866 364862 365859 367856 368850 370840 370831
      372824
 0.01 365112 365110 364109 362108 362107 361106 359105 357103
      356103 354103 352102 351104 351106 351108 351109 353109
      355109 357110 358110 360112 362113 364113 365112
 0.01 356868 355867 353867 352868 350869 348871 346873 345875
      344877 343880 345881 347879 348879 350877 352875 354872
      355870 356868
 0.01 230983 233988 238993 244996 249995 255993 260988 266978
      268970 269962 270957 270947 269941 265935 261932 258931
      254931 249934 244939 238950 235954 232961 231965
 0.25 487215 489213 489211 488208 488207 487205 485206 484207
      483207 481208 479210 479212 478213 479214 480215 482216
      483216 485216 487216 487215
 0.25 477235 476232 476235 477235 477235
 0.25 493871 492864 490858 485851 480835 475823 471813 467803
      462790 460787 457787 450788 450782 452777 457769 465760
      467754 469746 465741 460743 456745 453744 448740 444742
      441748 439755 431774 422798 423802 427805 430805 434802
      436801 436805 435810 432815 427819 420825 414833 411838
      409844 409852 410860 420878 427887 435895 439897 444899
      448900 452898 456896 461897 467899 471902 475915 479916
      481911 482902 483894 488884 491878 493871
 0.25 476717 475709 472700 472697 468699 465703 461708 457712
      454718 454722 456727 459731 463735 466737 469734 472730
      475725 476717
 0.25 433997 433994 429992 426994 424995 422997 420999 418002
      417006 420006 423006 425005 427004 430002 432999 433997
 0.25 413996 414994 414991 413991 412992 410994 409996 409998
      410999 411998 412998 413996 413996
 0.25 403072 402069 403065 399058 393055 390049 386053 383054
      382051 379051 378053 381056 382060 379062 377063 370060
      368059 366061 366064 369066 373070 374074 372080 373084
      375087 377089 380085 383084 384086 385090 389091 391090
      391087 391083 392080 403073 403072
 0.25 389084 389082 389079 389077 390075 388073 387074 386074
      385075 384076 383079 383081 384083 386085 388084 389084
 0.25 369093 368090 366088 364088 363087 362087 361086 359087
      358089 357091 356093 358094 360094 362094 364094 365094
      367094 369093
 0.25 361821 359816 356815 352816 346820 341819 336821 337823
      338825 338829 333834 330839 325841 310840 301846 300849
      300854 302859 306872 307881 306888 304902 302908 301913
      302918 305920 310917 319908 322902 322898 322891 324883
      325874 326869 328861 331856 337853 341851 348848 352842
      355841 356839 358833 361821
 0.25 362065 361063 359064 358065 359065 360067 362065
 0.25 341098 341096 340094 339095 339098 340098 341098
 0.25 336112 336110 335108 334106 332104 330103 328102 328103
      329105 330107 331109 332110 333111 334112 335113 336112
 0.25 331815 331813 330813 328812 326812 324813 323814 322814
      321815 320817 320819 321821 321822 323822 325822 327820
      328819 330818 331815
 0.25 289824 289822 288821 288820 286819 285819 283819 281819
      279819 278819 277819 276820 274821 274822 274824 276825
      277826 278826 280826 282826 283825 285826 287825 289825
      289824
 0.25 271808 271805 267805 263805 260806 258809 256810 257813
      259815 261816 263817 266817 267814 269813 271810 271808
 0.25 269835 268831 266829 265826 263824 261823 257822 256824
      256828 257830 259832 261833 264835 266835 269835
 0.25 254802 254801 252801 250801 249802 250803 252803 254802
      254802
 0.25 249966 248962 246960 245959 242960 240962 239963 237967
      237969 236973 237977 239978 242978 244976 246974 247972
      248968 249966
 0.50 481872 481863 479858 479851 477842 473830 470824 466818
      460808 456803 453802 452805 450811 450819 450830 449833
      447835 436838 434837 431834 429827 423829 419832 415837
      413844 414854 417858 423870 428881 432885 437890 441892
      447894 458887 463886 467882 471878 475882 477882 479879
      481872
 0.50 447763 446758 444757 442759 441764 440767 440769 439774
      438777 441777 442775 444773 445769 446766 447763
 0.50 383074 382072 382069 381067 380066 379067 379069 379071
      378073 377076 377078 376080 375082 377083 378083 379081
      379080 380078 381076 383074
 0.50 364090 364089 362089 361089 362091 364091 364090
 0.50 310858 310856 309855 309854 308852 308850 308848 307847
      305848 304848 303849 303850 303853 303855 304855 304857
      305859 306859 308861 309861 309860 310858
 1.00 468848 467841 465834 462828 459828 458832 458842 458849
      456857 455864 458869 462868 465863 468856 468848
 1.00 443858 444853 441849 434847 430848 427845 426843 422844
      421847 421853 422857 426860 428862 429867 432873 436880
      442882 444879 442874 441870 441864 443858

24HR QP VT 23/12Z
 0.01 439631 444639 446645 450646 452646 453649 455652 456650
      462648 466648 475646 478647 483646 488644 492645 494648
      496654 499663 504677 507686 508693 506699 498718 489739
      487743 484743 475740 471739 467742 460751 454756 449765
      444772 443776 444783 444789 443793 440803 434811 434815
      435818 439819 445819 445827 445834 440839 437843 435848
      436859 437887 438896 437902 437918 436923 439925 448927
      455929 463932 474948 480948 483948 486947 494942 498941
      502939 507944 514965 517970 518974 520980 520986 521996
      523000 528010 532018 534029 534036 533043 530055 528060
      527068 527076 525082 522094 518102 514116 512119 512123
      511129 512134 515139 518142 524149 528156 532165 534181
      535187 534195 533204 532209 530213 526215 523216 522213
      518212 515208 508203 505199 500196 495195 492194 490195
      492201 491207 498214 502224 507235 508243 507245 483224
      477218 471222 463226 455224 453223 454220 457217 465213
      468212 471208 473203 472196 473189 472181 473174 472169
      471164 470157 464154 458153 459148 461145 464144 470143
      472133 474127 478124 480120 480113 482100 482093 480090
      477090 474091 471091 469085 469077 470067 471062 472055
      469053 462049 455047 450047 443047 438048 434048 430051
      427056 423056 420058 418063 413073 407074 404078 400082
      395088 392087 391089 389093 385095 382094 381099 378099
      376098 376095 376089 372084 371079 370074 369071 366071
      360071 356068 353057 354050 356044 360038 366032 377019
      383009 388000 390997 395997 399999 400004 399010 401015
      407010 413004 418001 419999 418996 418990 419984 423976
      425972 425966 425959 423953 419952 415948 412944 409939
      405931 401922 397909 394897 392886 391875 390861 389856
      387853 381859 378858 375853 378841 377837 375835 371834
      366834 362832 359835 356839 353843 349846 339845 335843
      332840 329840 329844 332848
 0.01 332848 342851 345852 350851 355848 358850 356854 350862
      348864 347867 347875 342886 342893 345898 349903 350912
      345923 337933 334936 328939 317941 312944 307945 304941
      303939 299937 290931 286927 285925 284920 284913 286908
      294898 289896 285892 280883 276878 270874 271869 274865
      279866 286866 293865 295864 295859 293854 290849 288846
      286845 283850 278853 271853 267852 264849 260845 254847
      249845 245839 243833 243827 243823 241821 237818 234815
      232809 227795 224783 224777 226773 231769 236768 239769
      242774 242779 244783 258794 269796 276797 282800 298812
      301816 304822 307827 313826 318822 322817 326812 329809
      337801 341801 342804 342808 341811 337815 333817 329820
      325824 330835 331837 333835 335832 338827 347819 351824
      356821 369805 373810 377807 384797 389794 390791 387790
      383786 383783 383779 384777 389771 392765 391760 389755
      391753 394752 398747 400743 398738 391731 386729 385724
      386720 384719 380724 374728 368731 363734 359734 357732
      355728 356721 373705 377701 379697 385687 391676 394670
      397666 400661 404656 409651 415646 425635
 0.01 483245 482239 479233 476231 474232 467232 464230 461229
      459231 455236 454238 456240 463242 469244 476246 481247
      483245
 0.01 368108 369104 368102 367097 366095 366092 364089 360089
      359089 357091 356095 355100 356103 357105 359108 362109
      366109 368108
 0.01 356120 356116 355113 353110 349109 347106 346101 345094
      343089 342082 347079 352079 356077 354072 349070 340073
      329077 326081 324085 320090 313090 302086 296085 292085
      291087 291091 292093 294097 297103 300107 303112 301117
      301120 303121 310122 317123 321122 326119 329115 331113
      334113 338116 346123 353123 356122 356120
 0.01 302872 302869 302867 301865 301864 299865 299868 300870
      300872 301873 302872
 0.01 231991 237996 242996 247996 255993 262988 268983 272976
      273966 270963 266960 255961 250961 244960 235963 232964
 0.25 517077 517070 514065 511062 507061 503062 500059 501055
      503054 503049 501044 501039 502037 504031 505025 505020
      505016 504010 503004 500998 495991 490983 484974 478967
      471960 466954 459947 452942 448940 442938 437940 435944
      436959 435975 430984 430991 431995 425004 423010 424013
      438025 443033 454036 459036 464038 471042 476044 480047
      483051 487053 493060 492064 491072 490082 491091 491104
      490112 492118 494122 497123 500119 501111 503105 506101
      512089 517077
 0.25 496146 497141 497138 495135 493133 491131 489134 487136
      486139 486144 487146 489149 491151 493150 495148 496146
 0.25 484687 482682 478679 472675 465675 462680 458690 453699
      450703 447707 435707 428712 419718 417721 416727 415736
      416743 415755 413767 413774 413780 409784 406789 402797
      399801 396807 396814 392827 389836 386839 388843 390840
      395838 400839 403838 406837 407839 409846 411850 416853
      421851 423846 428837 429830 427824 426817 426809 428805
      431800 433797 435792 435783 434780 435775 445759 454738
      462731 468726 472721 475717 480708 484687
 0.25 444661 443656 442654 437649 434648 431649 425653 421659
      418665 414670 411676 410685 408692 404697 404702 406707
      412708 417707 421701 424694 431682 438672 443666 444661
 0.25 424924 425907 425890 425882 424874 421870 416868 411868
      407870 405874 405882 407896 410908 412915 413921 417931
      419934 421933 423928 424924
 0.25 355835 355832 355831 353831 351833 351835 351837 352838
      353838 354837 355835 355835
 0.25 334921 335919 334917 333917 332917 330918 328919 326921
      325922 324922 324924 325925 326925 328925 330924 331924
      332923 334922 334921
 0.25 309850 308844 308837 308833 306832 302833 299832 296828
      292826 293832 291836 297834 299840 299849 302854 307854
      309850
 0.25 296819 296817 295816 295815 294813 293813 291812 290812
      288814 288816 289818 289820 290822 291822 292823 294823
      296822 296821 296819
 0.25 286823 284818 280815 276812 273808 265802 260802 256804
      252807 251810 252814 252821 248823 246828 249832 253829
      254823 258821 263821 274819 276823 277826 280827 284825
      286823
 0.25 243976 243974 243972 241970 239971 238971 237973 237975
      237976 239977 241978 242977 243976
 0.50 503085 503084 503083 503080 502078 501077 500076 498076
      497077 497078 496079 495082 495084 495087 495089 495092
      496093 496095 497096 499096 500095 501094 501093 502090
      503088 503087 503085
 0.50 488030 489022 489014 488008 486002 482991 481986 477983
      467964 462957 455950 448945 444944 440947 438973 437981
      437988 438994 436999 434003 434009 437013 441015 447021
      452029 458030 461030 465032 471032 479031 482035 486034
      488030
 0.50 469704 468700 465700 460704 455710 449714 422730 420768
      419778 420783 419789 409799 405806 403812 403819 406822
      410826 410835 414840 424829 423810 421806 422802 428797
      430793 431787 431781 430776 432771 436766 441760 442752
      438745 436742 437739 441736 445736 452733 464723 467719
      469715 469704
 0.50 439660 437655 432655 429658 426663 425668 421672 417674
      413679 414683 413689 408698 409700 411701 414701 418690
      426682 430673 437665 439660
 0.50 305846 305845 304844 303844 301846 301848 302849 303850
      304848 305847 305846
 1.00 460989 461986 460985 459984 457984 455986 453988 452991
      452993 453995 455995 457995 458994 459993 460991 460989
 1.00 456976 457973 456969 455964 453959 450956 447954 445957
      446961 445967 443972 443976 447979 452981 455981 456976
 1.00 423679 423677 421675 420676 418677 416678 416679 416681
      417682 419683 421682 422681 423679

$$





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