Quantitative Precipitation Forecast
Issued by NWS

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714
FXUS04 KWBC 171040
QPFPFD

QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
639 AM EDT SUN MAY 17 2015


FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 17/1200 UTC THRU MAY 20/1200 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR


DAY 1...

...NORTHERN ROCKIES/PLAINS EASTWARD TO THE UPPER MS VALLEY/GREAT
LAKES...

AN UPPER LOW LIFTING FROM THE CENTRAL PLAINS TOWARD THE EASTERN
DAKOTAS SHOULD MAINTAIN ITS STRENGTH DURING THE NORTHWARD
MOVEMENT. AT THE SAME TIME...A SURFACE CYCLONE IS FORECAST TO
CONTINUE DEEPENING REACHING NORTHERN MN BY 18/0000Z. A FAIRLY
EXTENSIVE REGION OF WRAP-AROUND/COMMA-HEAD PRECIPITATION IS
EXPECTED TO THE NORTH AND WEST OF THIS SURFACE LOW. SUFFICIENT
MOISTURE TRANSPORT FROM THE GULF OF MX WILL SPREAD ABOVE 1 INCH
PWATS INTO THE NORTHERN TIER OF THE COUNTRY SETTING THE STAGES FOR
A LONG DURATION RAINFALL EVENT. THE GUIDANCE ARE REMARKABLY CLOSE
IN THE PLACEMENT OF THE HEAVIER AXIS OF RAINFALL ACROSS EASTERN
ND/WESTERN MN.


...SOUTHERN PLAINS/LOWER MS VALLEY/OZARKS...

THE CURRENT RADAR IMAGERY SHOWED A LENGTHY SQUALL LINE EXTENDING
FROM SOUTHERN IA DOWN THROUGH WESTERN MO INTO EASTERN OK/CENTRAL
TX. MESOSCALE MODELS WERE SLOW WITH THE EASTWARD PROGRESSION OF
THIS COMPLEX WHICH LED TO SOME MANUAL ADJUSTMENTS IN THE FIRST 6
HOUR QPF PRODUCT. THERE APPEARED TO BE ENOUGH INSTABILITY
DOWNSTREAM TO SUPPORT CARRYING THIS THUNDERSTORM COMPLEX BEYOND
12Z BEFORE THE USUAL DECAY DURING THE MID-MORNING HOURS. THE AREA
ACROSS THE SOUTHERN PLAINS/LOWER MS VALLEY APPEARS PRIMED FOR
ANOTHER COUPLE ROUNDS OF CONVECTION ON SUNDAY. WHILE THE CORE OF
LOWER HEIGHTS MOVE QUICK TOWARD THE NORTH AND EAST...ADDITIONAL
SUBTROPICAL VORTICITY MAXIMA TRACK FROM THE BIG BEND OF TX TOWARD
THE ARKLATEX. THIS WILL INTERACT WITH A STEADY SUPPLY OF GULF
MOISTURE WITH 850-MB WINDS EXPECTED TO BE IN THE 30 TO 40 KNOT
RANGE...PARTICULARLY AS THE LLJ INTENSIFIES AROUND 18/0600Z. WHAT
REMAINS TO BE SEEN IS HOW QUICKLY THE AIR MASS CAN RECOVER FROM
BEING OVERTURNED FROM THE CURRENT MCS. SOME OF THE HIGH-RESOLUTION
MODELS DID NOT BREAK OUT SIGNIFICANT CONVECTION ACROSS EAST TX
WHICH SEEMED STRANGE GIVEN THE RELATIVELY UNSTABLE/UNCAPPED
THERMODYNAMIC PROFILE NOTED. LEANED A BIT MORE ON THE 00Z GFS/12Z
ECMWF IDEA OF SPREADING CONVECTION ALONG A LINE FROM AR DOWN INTO
EAST TX. MODELS DISPLAY MULTIPLE THUNDERSTORMS COMPLEXES ARE
LIKELY TO AFFECT THE REGION SPANNING EAST TX UP THROUGH THE OZARKS
DURING THE NEXT 24 HOURS. THE 12Z HRW-ARW/HRW-NMM-B DIFFER IN
THEIR HEAVIER AXIS WITH THE LATTER BEING DISPLACED TOWARD THE
NORTH. DECIDED TO PLAY THE MIDDLE GROUND WITH THIS AREA GIVEN THE
SPREAD IN THE MESOSCALE GUIDANCE.


...FL...

WHILE A MID-LEVEL ANTICYCLONE ANCHORS ITSELF ACROSS THE SUNSHINE
STATE...DIURNAL HEATING WILL SUPPLY THE TRIGGER FOR CONVECTION.
LOW-LEVEL EASTERLY FLOW SHOULD HELP CONCENTRATE THE HEAVIER SEA
BREEZE ACTIVITY TOWARD THE WESTERN SIDE OF THE FL PENINSULA. THE
HIGH-RESOLUTION GUIDANCE HAVE A STRONG SIGNAL IN FAVORING THIS
SIDE OF THE COAST WHICH LED TO MANUAL ADJUSTMENTS TO THE QPF
CONTOURS. WHILE 24-HOUR AREAL AVERAGE AMOUNTS RANGE FROM 0.50 TO 1
INCH OF RAINFALL...EXPECT LOCALIZED HEAVIER AMOUNTS IN SOME OF THE
SLOWER MOVING CONVECTIVE CELLS.


...OH VALLEY/CENTRAL APPALACHIANS/MID-ATLANTIC...

A SERIES OF VORT MAXIMA LIFTING IN ADVANCE OF THE DEEP UPPER TROF
ACROSS THE CENTRAL U.S. WILL BE FOCI FOR CONVECTION FROM THE OH
VALLEY EASTWARD TO THE DELMARVA. THESE IMPULSES WILL TRACK OVER AN
EXPANSIVE WARM SECTOR CONSISTING OF THETA-E RICH AIR. AFTERNOON
HEATING SHOULD HELP RAISE INSTABILITY ACROSS THE REGION FOSTERING
CONVECTION ACROSS THE ELEVATED TERRAIN BEFORE MOVING EASTWARD
TOWARD THE COASTAL PLAIN. MODELS SHOWED ENOUGH AGREEMENT TO
SUPPORT A COMPROMISE WHILE ADDING SOME LOCAL DETAIL FROM THE GEFS
PROBABILITIES.


...PACIFIC NORTHWEST/NORTHERN CA/CENTRAL GREAT BASIN...

BRIEF HEIGHT RISES WILL OCCUR ACROSS THE CENTRAL GREAT BASIN AS
THE INITIAL UPPER LOW LIFTS TOWARD THE NORTHERN PLAINS.
HOWEVER...SHORTWAVE ENERGY SPREADING EASTWARD FROM ANOTHER UPPER
LOW DROPPING DOWN THE NORTHERN CA COAST WILL INCREASE THE THREAT
FOR SHOWERS AND THUNDERSTORMS OVER THE WESTERN U.S.
DIURNALLY-DRIVEN ACTIVITY SHOULD EXPAND IN COVERAGE AS THE
INSTABILITY INCREASES FROM DAYTIME HEATING. AREAS OF LOCAL
OROGRAPHIC EFFECTS CAN EXPECT HIGHER AMOUNTS WITH SOME OF THESE
DETAILS SHOWN IN THE MANUAL-QPF. UTILIZED SOME FORM OF COMPROMISE
OF THE HIGHER-RES GUIDANCE WHICH WERE AVAILABLE AT THE TIME.



DAYS 2/3...


...NORTHEAST/MID ATLANTIC/OH VALLEY...

HIGH MOISTURE CONTENT AIR AND MARGINAL TO MODERATE INSTABILITY
STREAMING NORTHEAST AHEAD OF A SLOW MOVING COLD FRONT RAISES THE
POTENTIAL FOR LOCALLY HEAVY RAINFALL ACROSS THE NORTHEAST...MID
ATLANTIC AND OH VALLEY ON DAYS 2 AND 3. FOR THE MOST PART...THERE
WAS DECENT MODEL AGREEMENT CONCERNING THE PLACEMENT OF THE FRONT
(THOUGH THE 00Z GFS MAY BE A TAD FAST DUE TO THE POSITION OF THE
MID LEVEL FORCING)...SO THE WPC QPF WAS BASED ON A FAIRLY EVEN
BLEND OF THE 00Z ECMWF/GFS.

A SURFACE COLD FRONT TRACKS FROM THE MIDWEST EARLY ON DAY 2 TO A
POSITION EXTENDING FROM WESTERN NY STATE/EASTERN OH THROUGH KY AND
TN. AHEAD OF THE FRONT (AND A STRONG SHORT WAVE CROSSING THE UPPER
GREAT LAKES)...A LOW LEVEL SOUTH SOUTHWEST FLOW PUMPS HIGH
MOISTURE CONTENT AIR (WITH PRECIPITABLE WATER VALUES BETWEEN 1.50
AND 1.75 INCHES...WHICH IS BETWEEN TWO AND THREE STANDARD
DEVIATIONS ABOVE NORMAL) AND MARGINAL TO MODERATE INSTABILITY INTO
WESTERNMOST NEW ENGLAND/WESTERN NY STATE/INTERIOR MID ATLANTIC
INTO THE LOWER OH VALLEY. THE ABOVE COULD SUPPORT THE DEVELOPMENT
OF BROKEN LINES OF CONVECTION AHEAD OF THE FRONT...ESPECIALLY
DURING THE 18/18Z THROUGH 19/06Z TIME FRAME...WHEN MODEL SOUNDINGS
SHOWED INSTABILITY MAXIMIZING. THE CONVECTION SHOULD PRODUCE A
LARGE AREA OF 0.25 TO 0.50 INCHES OF QPF STRETCHING FROM WESTERN
ME...NORTHERN NH/NORTHERN VT THROUGH MUCH OF NY STATE INTO MUCH OF
PA/OH THROUGH WV INTO TN/KY. EMBEDDED AREAS OF 0.50 TO 0.75 INCHES
OF QPF ARE POSSIBLE CLOSER TO THE BEST INSTABILITY AXIS.

THE COMBINATION OF HIGH MOISTURE CONTENT AIR AND SLOW MOVING
CONVECTION (AS CORFIDI VECTORS DROP BELOW 10 KNOTS ACROSS A LARGE
PORTION OF WESTERN NY STATE THROUGH CENTRAL/WESTERN PA INTO
EASTERN OH) RAISES THE POTENTIAL FOR LOCALLY HEAVY RAINFALL. WHILE
THE FRONT WILL ACT AS A FOCUS FOR CONVECTION...MID LEVEL SUPPORT
IS LACKING DURING DAY 2. THIS PROBABLY KEEPS THE CONVECTION LESS
ORGANIZED. IN ADDITION...IN MOST PLACES...THREE HOUR FLASH FLOOD
GUIDANCE VALUES ARE GENERALLY ABOVE 2.50 INCHES (DUE TO A
RELATIVELY DRY PERIOD THE PAST COUPLE OF WEEKS). THIS COULD MAKE
ORGANIZED FLASH FLOODING LESS LIKELY AS WELL. WHILE THE THREAT FOR
LOCALIZED FLOODING IS THERE...AT THIS POINT ORGANIZED FLASH
FLOODING APPEARS UNLIKELY FOR DAY 2.

THE SHORT WAVE OVER THE GREAT LAKES ON DAY 2 CROSSES ONTARIO INTO
WESTERN QUEBEC DURING DAY 3. THE SHORT WAVE ADDS SOME LIFT FOR THE
POTENTIAL FOR MORE CONVECTIVE ORGANIZATION ACROSS NORTHERN NEW
ENGLAND. INSTABILITY SHOULD NOT BE AS ROBUST AS IT WAS ACROSS THE
OH VALLEY/INTERIOR MID ATLANTIC DURING DAY 2...AND PEAKS NEAR
20/00Z. PRECIPITABLE WATER VALUES MAXIMIZE ACROSS NORTHERN NEW
ENGLAND BETWEEN 1.25 AND 1.50 INCHES DURING THE FIRST HALF OF THE
PERIOD...DURING THE BEST DESTABILIZATION. THE MOISTURE AND
INSTABILITY SUPPORTS A LARGE AREA OF 0.25 TO 0.50 INCHES OF QPF ON
DAY 3 ACROSS VT/NH/ME/MA. FURTHER SOUTH...THE MOISTURE IS NOT
QUITE AS DEEP...AND CONVERGENCE ALONG THE FRONT IS NOT AS
IMPRESSIVE. STILL...THE COMBINATION OF MOISTURE AND INSTABILITY
SUPPORTS A LARGE AREA OF 0.25 INCHES OF QPF FROM EASTERN NY STATE
DOWN THROUGH EASTERN VA/NC.


...SOUTHERN PLAINS/LOWER AND MID MS VALLEY...

HIGH MOISTURE CONTENT AIR AND INSTABILITY RIDING UP AHEAD OF A
SLOWING FRONT ACROSS THE SOUTHERN PLAINS AND LOWER AND MID MS
VALLEY ON DAY 2 RAISES THE SPECTER FOR HEAVY TO EXCESSIVE RAINFALL
ACROSS THE REGION. WHILE THE THREAT FOR ADDITIONAL HEAVY TO
EXCESSIVE RAINFALL LOOMS FOR DAY 3...THERE IS INCREASING MODEL
SPREAD CONCERNING HOW THE THREAT WILL UNFOLD. IN AN ATTEMPT TO
MITIGATE SOME OF THE DIFFERENCES...THE WPC QPF WAS BASED MAINLY ON
A BLEND OF THE 00Z ECMWF/GFS.

A SLOWING SURFACE BOUNDARY CROSSES THE SOUTHERN PLAINS DURING DAY
2...COMING TO REST NEAR THE RED RIVER VALLEY INTO NORTHERN LA.
AHEAD OF THE FRONT...A LOW LEVEL SOUTHERLY FLOW TRANSPORTS
PRECIPITABLE WATER VALUES BETWEEN 1.50 AND 1.75 INCHES TO THE
BOUNDARY...AND MODEL SOUNDINGS SHOWED MODERATE INSTABILITY IN THE
18/18Z THROUGH 19/06Z TIME FRAME. CONVECTION DEVELOP IN THE
MOISTURE AND INSTABILITY WILL BE AIDED BY DIVERGENCE IN THE LEFT
FRONT QUADRANT OF A 90 KNOT JET STREAK CROSSING SOUTHERN
AZ/NM...PROVIDING SOME ORGANIZATION. THE RESULTANT CONVECTION IS
EXPECTED TO PRODUCE AN AREA OF 0.75 TO 1.50 INCHES OF QPF ACROSS A
PORTION OF NORTHEAST TX/SOUTHERN AR/NORTHERN AR INTO WESTERNMOST
TN. THESE AREAS HAVE BEEN NOT GENERALLY BEEN IN THE AREAS OF
HEAVIEST RAIN DURING THE PAST WEEK...AND THIS IS REFLECTED IN THE
THREE HOUR FLASH FLOOD GUIDANCE VALUES...WHICH RANGE BETWEEN 2.50
AND 3.50 INCHES. WHILE LOCALLY HEAVY RAIN IS EXPECTED...ORGANIZED
FLASH FLOODING IS NOT EXPECTED DURING THIS TIME.

AS SURFACE HIGH PRESSURE BUILDS SOUTH FROM THE NORTHERN
PLAINS...THE FRONT BECOMES PUSHED TOWARD THE TERRAIN ACROSS
EASTERN MN THROUGH EASTERN
CO/SOUTHEAST WY INTO THE WESTERN HIGH PLAINS. THE FOCUS FOR HEAVY
RAIN IS FOCUSED FURTHER WEST DURING DAY 3...THOUGH THERE IS SOME
SPREAD ON WHERE THE HEAVIEST QPF OCCURS. THERE IS A MULTI MODEL
SIGNAL FOR A STRIPE OF HEAVY RAIN ACROSS NORTHERN TX INTO CENTRAL
OK...ALONG A SURFACE TROUGH...WHICH ACTS TO FOCUS MOISTURE AND
MARGINAL TO MODERATE INSTABILITY. FOR NOW...AN AXIS 1.25 TO 1.75
INCHES OF QPF WAS PLACED HERE...AS CONVECTION THAT DEVELOPS
RECEIVES SYNOPTIC SCALE ASCENT FROM A STRONG SHORT WAVE THAT
CROSSES THE ROCKIES DURING THIS TIME PERIOD.

WHILE THESE QPF AMOUNTS ARE BELOW THE CURRENT THREE HOUR FLASH
FLOOD GUIDANCE VALUES...HEAVY RAINFALL DURING DAYS 1 AND 2 SHOULD
LOWER THESE NUMBERS. LOWER FLASH FLOOD GUIDANCE VALUES...ALONG
WITH THE POTENTIAL FOR HIGH RAINFALL RATES IN THE 1.75 INCH
PRECIPITABLE WATER AIR...MUCH OF NORTH TX AND WESTERN AND CENTRAL
OK WAS PLACED IN A SLIGHT RISK AREA. CONFIDENCE IN THE PLACEMENT
OF THE HEAVIEST RAINFALL IS BELOW AVERAGE...AND THE SLIGHT RISK
AREA WAS EXPANDED TO COVER THE POTENTIAL IN LIGHT OF THE MODEL
SPREAD.


...SOUTHWEST/SOUTHERN AND CENTRAL ROCKIES/CENTRAL PLAINS...

A CLOSED MID LEVEL LOW OVER CA AND THE GREAT BASIN ON DAY 2 OPENS
INTO A NEGATIVELY TILTED LONG WAVE TROUGH COVERING THE WEST
COAST...GREAT BASIN AND ROCKIES ON DAY 3. A DEVELOPING LOW LEVEL
INFLOW TRANSPORTS DEEP MOISTURE AND INSTABILITY INTO THE REGION
AHEAD OF A STRONG SHORT WAVE DURING DAY 2... RAISING THE THREAT
FOR HEAVY TO EXCESSIVE RAINFALL ACROSS PORTIONS OF NORTH TX INTO
NM AND SOUTHERN CO. AS THE SHORT WAVE CROSSES THE ROCKIES DURING
DAY 3...THE HEAVY RAIN/EXCESSIVE RAINFALL THREAT MOVES
NORTH...EXTENDING ACROSS THE WESTERN HIGH PLAINS INTO PORTIONS OF
NM. THERE IS FAIRLY GOOD MODEL AGREEMENT DURING DAY 2 WITH RESPECT
TO THE PLACEMENT OF THE HEAVIEST QPF...BUT THERE IS INCREASING
MODEL SPREAD DURING DAY 3. IN AN ATTEMPT TO MITIGATE SOME OF THE
DIFFERENCES...THE WPC QPF WAS BASED ON A BLEND OF THE 00Z
ECMWF/GFS.

A SURFACE TROUGH EXTENDING ACROSS WEST TX INTO EASTERN NM AND
SOUTHERN CO BECOMES THE FOCUS FOR AN INCREASING LOW LEVEL
SOUTHEASTERLY FLOW FROM THE WESTERN GULF OF MEXICO DURING DAY 2. A
CLOSED MID LEVEL LOW TRACKING FROM CENTRAL CA INTO SOUTHERN NV
EJECTS A STRONG SHORT WAVE THAT CROSSES AZ/NM DURING THIS
PERIOD...AND THE SYNOPTIC SCALE ASCENT IS AUGMENTED BY DIVERGENCE
IN THE LEFT FRONT QUADRANT OF A 110 KT KNOT JET STREAK MOVING
ACROSS THE SOUTHWEST STATES. THE 25 TO 35 KNOT LOW LEVEL SOUTHEAST
FLOW PUMPS 1.00 TO 1.25 INCH PRECIPITABLE WATER VALUE AIR (WHICH
IS BETWEEN TWO AND THREE STANDARD DEVIATIONS ABOVE THE MEAN) INTO
SOUTHEAST NM...AND MODEL SOUNDINGS SHOWED MARGINAL INSTABILITY FOR
CONVECTION TRACKING THROUGH WEST TX INTO EASTERN NM AND SOUTHERN
CO.

THE MOISTURE AND INSTABILITY SUPPORTS CONVECTION PRODUCING AN AXIS
OF 1.00 TO 1.50 INCHES OF QPF STRETCHING FROM NORTH TX THROUGH
EASTERN NM IN SOUTHERNMOST CO. WHILE THE QPF AMOUNTS ARE BELOW THE
THREE HOUR FLASH FLOOD GUIDANCE VALUES...THE HIGH MOISTURE CONTENT
AIR SUGGEST THAT POTENTIAL FOR HIGH RAINFALL RATES IN CONVECTION.
THIS COUPLED WITH THE STRONG CONSENSUS FOR HEAVY RAIN IN THIS AXIS
SUPPORTS MAINTAINING THE SLIGHT RISK AREA FOR THIS CORRIDOR.

DURING DAY 3...AS HIGH PRESSURE BUILDS ACROSS THE NORTHERN
PLAINS...THE LOW LEVEL INFLOW BECOMES EAST TO SOUTHEAST ACROSS THE
FRONT RANGE OF THE ROCKIES FROM EASTERN NM INTO SOUTHEAST WY...AS
WELL AS THE WESTERN HIGH PLAINS. THE FLOW IS UPSLOPE ACROSS THE
FRONT RANGE...AND THE UPSLOPE FLOW PEAKS BETWEEN 19/18Z AND
20/00Z. A STRONG SHORT WAVE CROSSES THE ROCKIES DURING DAY
3...PROVIDING SYNOPTIC SCALE ASCENT OVER THE ENTIRE REGION. THE
BEST INSTABILITY OCCURS ACROSS THE FRONT RANGE AND CENTRAL PLAINS
IN NE/KS DURING THE 19/18Z THROUGH 20/06Z TIME FRAME. IT IS
UNCLEAR JUST HOW FAR INTO THE FRONT RANGE THE DEEPER INSTABILITY
GETS...BUT PRECIPITABLE WATER VALUES ABOUT TWO STANDARD DEVIATIONS
ABOVE NORMAL SUGGEST THAT ANY CONVECTION (EVEN ELEVATED) PRODUCES
HEAVY RAINFALL.

THERE IS SOME MODEL SPREAD AS TO EXACTLY WHERE THE HIGHEST QPF
AMOUNTS OCCUR DURING DAY 3...SO A BLENDED APPROACH WAS EMPLOYED
FOR THE WPC QPF. A LARGE AREA OF 1.25 TO 1.75 INCHES OF QPF WAS
PLACED OVER THE FRONT RANGE INTO THE WESTERN HIGH PLAINS. WHILE
THREE HOUR FLASH FLOOD GUIDANCE VALUES ARE GENERALLY HIGHER THAN
THESE VALUES...THE HIGH MOISTURE CONTENT AIR AND UPSLOPE FLOW
SUGGEST THAT HIGH RAINFALL RATES IN CONVECTION ARE POSSIBLE. WITH
THIS IN MIND...A SLIGHT RISK AREA WAS PLACED OVER MUCH OF EASTERN
NM...EASTERN CO...SOUTHEAST WY INTO WESTERN KS AND FAR WESTERN NE.
PERHAPS LATER MODEL RUNS CAN BETTER PINPOINT THE AREAS UNDER MOST
THREAT FOR EXCESSIVE RAINFALL.


...WEST COAST/GREAT BASIN/NORTHERN ROCKIES...

A DEVELOPING LONG WAVE TROUGH OVER THE WEST COAST TAKES ADVANTAGE
OF INCREASING MOISTURE AND INSTABILITY TO PRODUCE QPF DURING DAY 2
ACROSS THE PACIFIC NORTHWEST...NORTHERN AND CENTRAL CA...AND THE
GREAT BASIN. A SHORT WAVE CROSSING THE GREAT BASIN AND NORTHERN
ROCKIES DURING DAY 3 OFFERS A BETTER FOCUS FOR MOISTURE AND
INSTABILITY ON DAY 3. FOR THE MOST PART...THERE WAS DECENT MODEL
AGREEMENT CONCERNING THE OVERALL SYNOPTIC SETUP...SO THE WPC QPF
WAS BASED MAINLY ON A BLEND OF THE 00Z ECMWF/GFS.

DURING DAY 2...A CLOSED MID LEVEL SYSTEM CROSSES CENTRAL CA ON ITS
WAY TO SOUTHERN NV...AS A LONG WAVE TROUGH COVERS MUCH OF THE
WESTERN UNITED STATES. THE ONSHORE FLOW CLOSE TO THE COAST PUMPS
PRECIPITABLE WATER VALUES TO NEAR 0.75 INCHES ALONG THE PACIFIC
NORTHWEST AND CA...AND NEAR 0.50 INCHES ACROSS THE REMAINDER OF
THE REGION. STEEPENING MID LEVEL LAPSE RATES RESULT IN MARGINAL
INSTABILITY ACROSS MUCH OF THE AREA...AND THE COMBINATION OF
MOISTURE AND INSTABILITY IS ENOUGH FOR SCATTERED TO BROKEN
CONVECTION...FOCUSED ON THE HIGHER TERRAIN OF PACIFIC NORTHWEST
AND GREAT BASIN. AREAS OF 0.25 TO 0.50 INCHES OF QPF WERE PLACES
OVER MUCH OF OR...THE SIERRA NEVADA RANGE OF CA AND MUCH OF THE
HIGHER TERRAIN IND CENTRAL NV.

WEAK SHORT WAVES TRACKING THROUGH THE LONG WAVE POSITION ACROSS
THE WEST PROVIDES LOCAL SYNOPTIC SCALE LIFT FOR CLUSTERS OF
CONVECTION ON DAY 3. PRECIPITABLE WATER VALUES HOVER BETWEEN 0.50
AND 0.75 INCHES OVER MUCH OF THE NORTHERN ROCKIES AND GREAT
BASIN...AND MARGINAL INSTABILITY SHOULD BE SUFFICIENT FOR
CONVECTION INITIATION. THE FOCI FOR HEAVIER RAIN APPEAR TO BE THE
BITTERROOT RANGE IN ID AND THE UNITAS AND NORTHERN WASATCH RANGES
IN UT...WHERE LOCAL 0.50 TO 0.75 INCH QPF AMOUNTS ARE POSSIBLE.
WITHOUT MUCH IN THE WAY OF MID LEVEL FORCING FOR FOCUS...LOCALLY
HEAVY RAIN IS EXPECTED... BUT AT THIS TIME ORGANIZED FLASH
FLOODING IS NOT EXPECTED.


RUBIN-OSTER/HAYES

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

24HR QP VT 18/12Z
 0.01 450627 465637 472640 480645 483649 485656 487664 487671
      483682 478691 472698 467700 464703 460705 457709 452717
      450721 447724 441721 437714 436709 438705 442695 443691
      441687 438685 435682 430681 426680 423680 421682 417684
      413689 409698 405709 401718 394725 390727 388727 383725
      380721 378718 378723 381731 387733 395735 400734 403736
      414753 419762 422766 424770 428781 427794 428799 429801
      435799 447796 452796 455797 464799 474797 480796 484793
      493791 498785 505781 510775 513771 516766 521756 526748
      532755 538761 540766 541774 545788 544803 543816 544829
      545844 544862 542888 539909 532968 529980 525994 519019
      516029 513039 509051 508058 506064 501088 500116 499124
      496131 495141 491143 487141 479137 469132 463130 459127
      455140 453144 456149 458156 459160 460162 463164 467172
      466179 464181 459188 455191 453195 450199 450206 453210
      458210 461206 462203 465202 473198 478191 485184 493180
      502178 509185 511195 513198 515200 518198 522200 524203
      525214 527219 528224 526228 523232 521233 521239 518248
      518260 513269 511273 509274 506277 502276 498272 494263
      486244 488243 491244 495248 498248 498245 496241 485225
      480223 475222 467224 452224 439229 432236 429243 427245
      405240 394236 391232 392227 396224 401224 405225 406223
      402219 397214 390208 384204 377198 360189 356186 357180
      363175 360171 354169 354164 360165 363167 369168 376162
      383157 387155 386151 385145 387139 399138 408139 410132
      402128 397122 388125 381129 377130 375128 375121 379119
      385113 391109
 0.01 391109 395101 394096 391094 385093 384086 385078 382073
      382070 383067 382063 380060 379053 377050 379048 384047
      388043 389038 390036 391034 394034 405030 410026 412023
      412018 410003 408000 408996 408986 408975 409969 410966
      414963 417961 417957 417952 419949 419943 418938 412931
      405923 398921 390920 383921 379921 377923 373928 370934
      362945 355955 348964 341972 334978 315995 305003 304007
      304013 303017 302019 298023 292025 278026 270023 265021
      263017 260011 259006 257004 254999 254995 253992 269974
      275966 282958 288947 292935 294929 293921 289908 287901
      289893 291888 294886 298886 313884 315879 316875 314873
      306866 300865 296861 292856 290848 279844 266839 255834
      246813 245805 246799 248795 253793 258789 264788 270790
      276792 287797 293798 296800 298804 302807 304812 305816
      303818 302820 303823 311832 315836 319838 321840 326840
      334839 338837 340835 344831 348825 353821 357817 361811
      367802 371788 374777 375762 373759 371757 369754 367750
      363747 360741 360733 356726 353720 353715 354712 358708
      366706 369706 371704 369696 368687 369680 371668 377657
      384648
 0.01 479236 480234 479233 478232 476232 475235 476235 477236
      479236 479236
 0.01 440127 439122 437120 434119 432121 428127 429135 428142
      428146 429149 431154 432157 434157 433150 433143 434135
      438129 440127
 0.01 350197 350195 351192 350192 349190 349189 348190 347191
      346191 346194 346196 346198 347199 348198 350197 350197
 0.25 536805 536796 536788 536781 534776 531773 527773 523776
      519779 502808 494812 488816 483826 480829 476827 473819
      471815 469812 462809 455808 453812 452817 450828 452833
      456837 461842 457844 452843 445843 438845 432849 429853
      427857 427862 428867 431869 436870 445872 450877 448881
      443881 425882 420884 419889 419895 420900 425907 432914
      441929 444935 445945 445952 443957 442961 439964 434969
      431973 429979 429990 432997 437003 444007 452010 454013
      458017 460028 462040 463044 467044 469047 471052 473061
      475065 475071 476077 480077 485072 491063 495055 498049
      502039 508022 515001 522979 526960 530939 532925 534912
      536885 538864 538834 536805
 0.25 509241 510236 509233 508227 507219 505215 502210 499206
      496200 493197 489195 485197 478202 477207 478210 475212
      478215 483217 489220 493222 499232 505240 509241
 0.25 476659 474652 470648 461644 451642 440640 434639 428639
      425643 425650 428657 432663 435667 440670 445671 451671
      462668 470667 476664 476659
 0.25 465082 463077 459072 453069 447069 442067 440070 441073
      444078 448082 452087 454089 457089 461086 465082
 0.25 455174 454173 454171 453170 451170 451171 450173 451175
      451176 452177 454176 455174
 0.25 444220 445217 444213 442210 437201 433195 428187 426186
      425188 424191 428200 431205 433205 436213 436217 433218
      429221 428226 435225 438222 441221 444220
 0.25 446157 446156 446155 445152 445151 444150 443148 443147
      442144 440143 439143 438144 437146 437148 437151 437153
      438154 438156 439157 441158 442159 444159 446158 446157
 0.25 417206 418200 417197 413193 408187 405182 402181 400183
      395185 388182 381179 375177 371177 371181 365183 363184
      364186 366187 373191 378194 384200 389203 395207 400211
      405215 407215 409212 414209 417206
 0.25 421145 422143 423141 423138 422136 422135 421133 420133
      419134 418135 418137 418138 418140 418142 419145 421145
      421145
 0.25 407234 406233 404232 402231 401230 400230 399229 398229
      397231 399232 400233 402234 404234 405234 407234
 0.25 419806 418793 415785 411776 407770 403767 395764 389767
      385772 382781 381790 377798 373804 368808 364815 356824
      351830 347837 346841 347845 349849 353849 358849 361850
      363853 365857 362865 360870 354875 349879 335887 321891
      314893 307896 302901 301905 301911 303920 304932 302938
      299945 296952 292957 284970 280977 277986 278995 280001
      286004 293004 315983 325974 335967 341963 346957 355945
      369921 378908 387895 398890 404885 405881 404878 401874
      400867 401862 399856 397848 396843 396837 400832 405827
      410822 414817 418811 419806
 0.25 409110 410108 410105 410103 410101 409100 409098 408097
      407098 407100 406102 406105 406107 407110 409111 409110
 0.25 391667 388661 383661 381663 377670 375676 373685 376696
      379702 384703 386701 387696 387691 388682 391674 391667
 0.25 307854 307852 306850 305849 303849 302850 301851 302852
      302853 303855 304855 306855 307854
 0.25 301840 301839 299838 299837 298836 297835 295834 293834
      291834 290835 291835 292837 293838 295839 297839 299840
      301841 301840
 0.25 292826 290823 287821 279819 273817 267814 261811 257811
      256814 259819 261823 265824 271826 278829 285829 290829
      292826
 0.50 534792 532783 528780 522783 518788 506810 497819 492825
      490831 490841 488847 480856 476862 475870 476880 476884
      475887 472891 467894 460893 455896 450902 445905 443909
      443913 445920 451930 454936 455945 454955 451962 447966
      442971 434980 433983 433988 435995 441999 446001 453004
      458008 461011 466016 472026 480037 483043 489042 492038
      495032 501018 506006 513990 517978 522963 526947 529927
      533894 535872 535862 535850 534830 533808 534792
 0.50 448658 447657 445657 443657 444659 445659 447659 448658
 0.50 442151 441151 440149 439151 440152 441153 442151
 0.50 403198 401192 398190 392190 387187 384186 387191 385192
      383193 382195 385198 389201 392203 398204 400202 403198
 0.50 404785 403780 400778 393780 392784 394787 390794 388802
      386811 385815 388817 390817 391815 396807 399800 400797
      401793 401787 404785
 0.50 383681 383678 383676 382675 380676 380677 379679 379680
      379682 379684 379686 378688 378689 380690 381688 382686
      382683 383681 383681
 0.50 388877 388873 386871 382870 372874 356883 347888 344891
      337892 327893 317896 312898 309901 306907 306913 308923
      310927 313930 317929 320926 324914 327911 330911 332914
      331919 328925 326928 318936 305946 298954 292962 288970
      284979 283986 284993 286997 289999 292999 299994 305987
      312980 319973 326969 334964 341957 348949 353942 359934
      364925 369916 374908 378899 384886 388877
 0.50 285825 281822 277821 273820 269818 265817 261817 262819
      265821 268823 272825 277826 282827 285825
 1.00 530886 531867 530849 529834 528817 527808 525802 520802
      517805 512812 507820 500827 498829 498833 499842 498849
      497855 495866 495875 495883 494890 493896 489907 485914
      479923 474934 467952 465958 462963 455970 449975 441980
      440987 443992 448994 453995 463996 468001 475009 479014
      483015 486015 490012 495005 501996 507985 514968 522943
      525931 527920 529901 530886
 1.00 376886 376883 374882 371883 363886 353901 350910 345917
      338922 333928 327935 323943 321953 321957 325959 330959
      335957 341952 351938 357931 361924 369909 373899 376889
      376886
 1.00 309975 309966 305962 301962 296966 293970 291977 289983
      288987 290991 292992 294991 299987 302983 306979 309975
 1.50 528891 528875 527858 526831 523818 520815 516817 513823
      510833 502878 501891 499904 496912 492921 487927 482935
      476952 474957 471962 468965 464967 454977 446981 444983
      445985 447988 455988 464987 478997 485997 491992 497986
      502978 506971 510962 514953 517943 522923 526905 528891
 1.50 369898 369894 367892 364893 360898 356904 354912 346923
      344923 341926 335929 328941 327945 326950 330954 334954
      337951 341945 344938 348933 354929 359923 363917 366910
      369898
 1.50 303977 304973 301971 298973 296975 295977 294980 292983
      293987 294987 297985 299983 301981 302979 303977
 2.00 524892 525880 524869 523850 521841 520839 518841 514853
      508866 507873 506882 503900 501914 499922 496928 490937
      486942 483948 481958 475972 475976 475980 479983 483983
      485982 490978 497970 500965 503958 509949 512944 515936
      518923 522905 524892
 2.00 365905 365903 364902 363903 362904 361905 362907 362909
      363907 364907 365905
 2.00 361914 360913 359914 358914 357916 357918 357919 356921
      357921 359919 359918 360916 360915 361914
 2.00 341939 342934 339933 337934 334936 333939 332941 330944
      329947 330950 332952 334951 336949 337947 339944 341941
      341939

24HR QP VT 19/12Z
 0.01 532227 532221 531214 529209 526205 525202 523201 518198
      511199 502204 495205 491203 488203 485206 482207 473208
      465211 461213 456213 451211 453207 455201 457197 461190
      461186 463183 466177 464171 462166 462159 462153 459148
      454139 451135 451128 450123 450117 450112 452110 454105
      453100 451098 448099 446098 440090 433085 430082 427082
      422079 420076 419069 421066 424066 428065 433061 435058
      434054 429048 421043 415042 411040 406039 403036 396028
      391022 385015 377010 368006 365003 364998 364994 364987
      366983 373963 379945 382922 392904 396896 399884 400881
      404877 408873 410870 416864 421854 425844 428836 431832
      435828 440825 443825 446826 452831 455835 460827 463822
      468822 472824 474830 474837 473842 470847 468853 468858
      470864 469870 469879 466890 461898 465906 464914 462920
      462924 463929 463936 461941 459950 455961 455966 457973
      457979 460982 470984 475996 477999 482000 485000 490997
      498992 504988 507985 510981 516975 522967 526955 530944
      532938 534931 535925 535916 538889 539878 538864 541803
      542773 542766 540760 537747 535742 532739 528730 527725
      527719 529713 528705 527696 524686 519679 510666 504667
      499667 495666 494658 492649 491643 483648 477654 471660
      458676 451685 445692 433706 422719 416726 410732 404734
      400736 394738 391741 389745 385749 377754 372756 367757
      357757 352757 348760 343767 338775 335778 334782 333787
      335787 342782 363783 368784 367788 366795 363797 359799
      355803 349804 345802 340801 335803 329809 318820 306824
      303823 297823 291824 287822 279815 275813 272815 265815
      263815 263812 259805 254803 251804 248807 247811 252814
      249817 251820 257826
 0.01 257826 261830 266831 270832 268834 262837 269841 275844
      281845 287848 289856 289860 291862 293866 303870 306869
      307873 305880 303886 300891 296895 294901 293903 293908
      294913 299925 299928 296930 294935 295940 298944 302948
      302956 295964 288974 282985 275994 264998 259000 255002
      250002 244000 238997 237999 239006 242010 252016 256020
      258027 260031 267033 279037 283039 289043 300048 302054
      307058 317062 327069 332072 334074 334077 331081 333086
      340096 346105 349110 351115 352118 352121 348114 339108
      332107 333112 337116 339118 341122 344132 348137 350139
      354140 360140 365138 371137 375143 376148 377152 375153
      369152 361151 355152 353154 354157 363165 366172 365175
      363175 361174 358176 355180 350183 345185 344191 350200
      353201 351197 351192 353189 361192 367193 371197 380205
      394210 395215 400218 400222 397224 395224 389226 387228
      388231 392234 398238 403241 408245 412247 418246 423243
      428243 434244 440242 445240 452241 458242 462240 467238
      469233 472226 477224 488223 491224 493227 495233 497240
      500244 505249 507251 508248 511249 514250 519253 521253
      519248 517241 515236 514232 514228 515224 516222 518220
      521220 527222 528227 530229 532227
 0.01 507274 507268 506262 502258 497255 492245 489241 485242
      482237 480232 477231 474232 471236 474241 477245 485252
      493259 496264 499269 502273 507275 507274
 0.01 406198 407196 406194 405192 403191 401189 400190 399190
      399192 398194 399195 400197 401199 402201 403202 405200
      406198
 0.01 395133 394131 393129 391128 389129 388130 387132 385134
      386136 388136 390136 392137 394135 395133
 0.01 341179 342173 341168 337167 332166 327163 325163 323165
      328168 332169 336167 338169 338172 340175 341179 341179
 0.01 299794 293792 284793 277792 272793 269794 265795 262797
      259800 259802 262803 267803 274800 281801 284803 289802
      294799 299794
 0.25 533784 531771 529759 528753 525750 520745 517742 514736
      511735 507737 500741 499745 500750 500755 495757 489763
      484769 480777 479789 481801 484809 486816 487823 486839
      486851 488861 488874 486901 488913 489917 489924 489934
      493944 495947 499947 505944 512937 516929 520921 523911
      526899 528889 530878 530865 530834 531821 532810 533796
      533784
 0.25 477702 477693 475688 473681 469679 463685 457693 447710
      439725 434733 428740 423748 421753 418756 409759 403760
      397762 392764 391767 388776 384785 383789 385795 384799
      381802 375808 366812 358817 352824 347830 344839 343843
      342851 344861 345868 345871 343872 338876 331881 325889
      316893 312895 309898 304906 303910 304916 306926 310937
      310941 310949 310954 309960 306968 305973 302976 296983
      292990 291994 295997 298999 303998 304996 305993 306988
      308983 310979 313977 317977 323976 327974 330972 333967
      336960 342952 345943 348930 351923 357918 362916 365913
      372907 374898 376893 378889 382879 386870 396858 408843
      413835 417828 423809 431790 434780 436777 440774 448768
      455764 458761 461757 465746 468737 472728 475723 477715
      477702
 0.25 453223 452220 451217 447214 445211 446204 448197 450194
      455186 455181 457177 456172 454167 451163 449163 446162
      446165 439170 433174 429185 427189 424193 412204 413212
      412219 410223 408228 408233 418236 427237 431236 434234
      441229 448227 453223
 0.25 451156 452154 452153 451153 450154 448155 449158 451156
      451156
 0.25 449177 447175 446175 444176 445178 447179 449177
 0.25 406170 408164 407161 400161 392162 387164 381169 376173
      375179 377182 381188 378190 376189 370184 365183 364186
      370190 376194 380199 385201 388201 390198 388195 385193
      383189 388185 399178 404174 406170
 0.25 413113 412111 412110 410109 409108 409107 408107 407109
      407110 407112 406114 406115 408115 410115 412113 413113
 0.25 406058 407054 406052 403049 395043 389038 385035 380033
      375033 371030 363027 352025 349024 345021 342017 341011
      342005 344001 345997 344991 342987 339983 335981 331983
      324989 319995 314003 311005 307004 301004 298006 296008
      292008 282003 276004 272006 270010 272014 276022 285025
      295024 304027 309033 314041 319048 323050 326054 337055
      342055 347057 350061 354063 357066 358071 360074 364077
      366081 368086 372090 376091 381093 384091 388082 391077
      393073 401065 406058
 0.25 308846 308844 308841 306840 305839 304840 303840 302842
      302844 303846 303847 305847 307848 308846
 0.50 524839 523834 522831 518831 517835 513843 508841 505839
      504835 502833 499836 497845 496855 496868 495878 493886
      492893 493899 497905 503907 510905 515899 521884 524875
      524863 524849 524839
 0.50 506782 506779 505778 504779 502780 500780 499781 497782
      496784 496786 498787 499788 501788 503788 504788 505787
      506784 506782
 0.50 459736 459729 458724 453728 444739 440743 433748 428754
      423761 418766 411768 396775 391778 389787 392789 397790
      396793 390799 386805 381810 377817 371818 364821 358827
      354832 350849 349851 351855 354862 355869 353876 352879
      351886 347891 344894 340895 334895 327896 320900 315904
      313907 312913 311921 312928 314937 315948 315953 315959
      315964 318966 326964 331959 335953 338947 342929 343920
      345917 348914 360914 366908 369902 373883 373863 374853
      376846 377838 380830 385824 392820 399818 403817 406814
      414800 418795 420792 419789 416791 415788 417780 421778
      425777 432774 438770 444764 451753 456744 459736
 0.50 449222 447219 445219 441217 440214 438204 438202 435203
      432203 429206 429214 426220 423223 421228 423232 427232
      433230 439226 444224 449222
 0.50 441198 441195 439196 439197 439199 441198 441198
 0.50 399055 399054 397053 396053 395053 393053 392053 391054
      391057 393058 395058 397058 397057 398056 399055
 0.50 380081 379074 378067 375062 371062 370058 374055 377051
      374046 365039 357033 345034 342033 341029 341026 339024
      324010 318008 314011 306017 317037 320041 324044 327049
      332051 338052 344052 347053 352055 357059 361060 364061
      366068 370080 374083 377083 379082 380081
 0.50 291014 291012 289011 287012 285011 284010 284009 282009
      280009 280010 278010 277011 276013 276014 278014 280014
      281016 283016 285016 287016 289015 291015 291014
 1.00 506877 506875 506874 506875 504877 504878 506879 506877
 1.00 364901 364896 364892 362890 360889 358890 356892 354894
      352897 352901 352905 355906 358905 360904 362903 364901
 1.00 344043 344041 342040 340040 339040 337039 335039 333040
      333041 332042 332045 333046 333047 334048 336048 338048
      340048 342048 344046 344045 344043
 1.00 334928 332926 328926 327919 324918 322919 319926 319932
      317940 318945 321949 325951 327949 330944 332938 333930
      334928
 1.00 322022 321022 320021 319022 319023 321023 322022
 1.50 337043 335042 334043 335045 336045 337044 337043

24HR QP VT 20/12Z
 0.01 483615 484625 485632 484637 501631 504632 506635 510643
      514653 517665 519679 519688 518695 516704 512715 510723
      509730 510736 509740 509748 508757 508764 506777 503799
      503814 504823 503829 503841 502853 501857 501864 500868
      500877 500885 499892 499901 498904 496905 494909 489909
      485903 480892 471883 472871 474865 475857 474851 472846
      469836 469823 466814 462805 459794 458783 454774 441764
      427776 422779 421785 418790 416795 413800 409804 405808
      400811 394816 388822 385825 382829 379839 374846 371853
      364867 347907 346921 346924 349926 352925 373917 378917
      382919 389922 394923 397923 399922 403913 406905 406903
      410905 415925 418937 422947 426958 432966 435969 439974
      443983 451007 473083 472098 466105 452117 451125 453132
      459144 465162 463164 461170 464180 461185 460189 461193
      461205 461208 464209 473209 476208 481209 489211 495212
      498213 500215 508219 504223 501225 506236 508241 509247
      509252 505249 493230 492227 488225 479222 480227 483232
      485235 489238 493243 497251 501253 502258 500265 498262
      491252 487247 484244 473243 468243 465244 457249 452247
      447244 429243 419241 416238 412238 403240 396238 393235
      388232 386228 388226 401221 399217 396212 387206 380201
      373195 371193 369192 365187 364184 366181 365178 364175
      366173 367175 372178 376181 379172 380169 378167 376164
      371156 366157 362157 371145 373127 371123 370120 368120
      365117 365110 366101 367093 364089 360092 357090 353086
      352080 352073 350066 345057 341054 338052 329048
 0.01 329048 323043 314039 312036 308035 299035 289035 280033
      270030 257029 247029 242029 238027 235024 234021 232014
      232001 232994 235991 243990 252994 267001 271002 272006
      276005 278003 286999 293995 293983 292978 292970 292952
      297937 296926 295922 294916 294909 295904 298893 300883
      300871 298862 297852 294840 291836 286833 280830 269829
      266827 264824 261821 257820 251818 247816 243816 242813
      244809 249801 253798 256797 260797 263798 262808 262812
      256813 260818 261821 264822 265821 271815 279810 290808
      297808 302809 312808 319803 326799 329792 332782 338773
      348759 352753 360749 368745 374740 387725 393719 398711
      396708 393711 384713 383708 384704 384701 382700 380698
      377695 375692 376688 380678 388658 391652 398644
 0.01 404196 404191 402188 400186 397184 395183 392182 390183
      386184 384186 382188 385190 387192 390194 392195 395197
      398198 400196 404196
 0.25 429634 431641 430646 429651 427655 424659 421662 418665
      413667 413663 415658 416654 418650 420645 422641 424637
      425635
 0.25 513662 512653 509647 506643 504641 500641 498644 494650
      491655 487659 483662 477665 474667 472661 471651 469646
      466649 464659 462661 459659 456661 447667 438676 432686
      427695 424707 419717 418721 419724 423729 430736 434738
      437734 441733 446731 451727 454722 457717 458717 454727
      456734 459740 462747 463758 464763 466771 470782 473798
      478814 482827 484829 488827 492823 493815 493797 496767
      497752 500736 507713 510699 513683 513662
 0.25 473670 473669 471668 469669 468671 468673 470673 472672
      473670 473670
 0.25 450151 450144 448137 445131 442126 440127 438130 435136
      432142 431149 433155 436160 440164 445163 448163 449158
      450151
 0.25 442212 443206 443198 442193 440192 432196 428195 424198
      418201 411207 409210 408218 411221 414223 422221 429218
      437214 440214 442212
 0.25 455047 454037 452028 445014 440005 433999 426995 419989
      415982 412973 409958 406952 402950 395947 391945 385944
      376943 372941 368941 361945 351954 343960 339962 335964
      331971 328982 324986 317991 311994 306998 303001 301006
      301012 298017 296020 292022 281022 281025 284026 292027
      309027 318030 327035 334040 340045 347048 350049 352053
      357058 365061 368063 370067 372071 373075 374080 377083
      383085 384089 382092 386094 391094 395088 400085 402088
      402093 399101 394108 388114 385117 386119 402125 406131
      409138 410144 411150 409159 409166 411171 416177 421183
      423186 425185 425181 428180 431180 433176 434169 429161
      427157 427152 426146 427139 434124 436121 436117 436112
      435108 435101 437096 440094 442090 444084 446080 448076
      450068 452056 455047
 0.25 428755 429752 428751 427753 428755 428755
 0.25 416232 416227 414225 411224 408225 405226 403227 399227
      398227 396231 398233 402234 405234 407233 410232 413232
      416232
 0.25 413720 413718 411718 408720 406722 405724 404728 403732
      405735 408733 409731 411728 412725 413722 413720
 0.25 383766 382763 379761 372761 364759 360759 357761 352766
      349774 350778 352781 359778 366774 373775 377775 380772
      383766
 0.25 383120 383118 381118 379119 381121 383120 383120
 0.25 322819 322815 319814 314817 310818 305816 297816 296819
      298822 302825 305831 305835 308836 311831 313826 318822
      322819
 0.25 322894 323887 323881 323874 321870 317871 316875 314881
      314886 314892 314898 316903 319906 320900 321896 322894
 0.25 267019 265014 262010 257006 253002 249000 246998 242998
      240999 239003 241010 245013 252014 258016 262019 267019
 0.50 509685 509675 507667 500657 497657 494661 486671 482682
      478696 474705 469719 472748 473757 474762 476769 478779
      480786 482789 487777 489765 491749 495737 500724 504713
      506707 507700 509685
 0.50 454693 453686 449685 447685 444688 441692 439697 438702
      440709 442712 447709 450706 452703 454698 454693
 0.50 446150 445147 446145 445142 444141 442140 441140 440141
      439143 438144 437146 437148 437150 438153 439154 441155
      443155 443154 445152 446150
 0.50 448051 449044 449035 448030 446026 439017 431011 418001
      409995 405992 403990 402986 403982 402977 395972 388965
      379959 371956 362957 357959 354963 350967 348971 335983
      322999 314004 314010 312013 314018 318022 321026 326029
      334033 337036 341039 349040 356047 359051 363054 372056
      382061 386072 388076 392079 401077 408078 414080 416084
      421083 425085 427085 429084 429077 427074 424073 424071
      428068 438064 442063 444060 448051
 0.50 429123 429116 426112 421110 417107 414102 409100 406101
      403107 401112 403117 411122 414127 415132 416146 417152
      418155 420154 422147 423138 426127 429123
 0.50 400062 398061 397060 397059 395059 393057 391056 390056
      389056 388057 387059 387061 388061 389061 391061 392061
      393062 394064 395064 396065 398064 400062
 0.50 249006 248004 247002 245002 244003 243004 244005 244006
      245007 247007 249006 249006
 1.00 496699 495694 494692 492692 491695 490698 489703 489706
      489711 490714 494712 494710 495707 496702 496699
 1.00 443043 444038 442035 438031 434029 430030 426029 423026
      415016 401009 395008 390005 389996 384988 382987 377987
      372989 365992 365997 367999 375008 378011 379016 375024
      375028 376031 379033 379035 375037 371037 366032 362028
      359029 357033 359037 362040 369042 372048 377051 384051
      392048 394047 395042 395037 394034 392032 396032 400037
      404043 408047 415049 419051 422051 425045 432045 438045
      443043
 1.00 373979 371972 368967 362964 357968 353972 350980 347985
      342989 332997 330003 327010 327014 329015 333013 336010
      341009 344007 347002 351998 357994 361989 364985 368985
      371982 373979
 1.00 350029 350028 349026 348026 347024 346024 345023 344022
      343021 341020 339020 338021 337021 337023 337025 337026
      339027 340028 341029 343030 344031 346032 348032 350031
      350030 350029
 1.50 388045 389043 387041 385041 383041 382042 381042 380043
      378044 379046 379047 381048 383048 385048 386047 387047
      388045
 1.50 357978 358976 357974 355975 355976 354978 355980 357979
      357978

$$





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