Quantitative Precipitation Forecast Issued by NWS
000
FXUS04 KWBC 132257
QPFPFD
QUANTITATIVE PRECIPITATION FORECAST DISCUSSION
NWS WEATHER PREDICTION CENTER COLLEGE PARK MD
656 PM EDT MON MAY 13 2013
FINAL DAY 1...DAY 2 AND DAY 3 QPF DISCUSSION
VALID MAY 14/0000 UTC THRU MAY 17/0000 UTC
REFERENCE AWIPS GRAPHICS UNDER...PRECIP ACCUM - 24HR
DAY 1
...PACIFIC NORTHWEST INTO THE NORTHERN ROCKIES...
A PAIR OF 700 MB JET MAXIMA CROSS WA STATE INTO MT TONIGHT WITH
DEEP LAYERED ASCENT AND WINDWARD UPSLOPE FLOW CONTRIBUTING TO
WIDESPREAD SHOWERS. THE JET DEPARTS LATE TONIGHT-EARLY
TUE...FOLLOWED BY MID LEVEL DRYING...SO SHOWERS WILL DECREASE IN
COVERAGE/INTENSITY.
SINCE THE BURST OF VERTICAL MOTIONS ARE LIMITED TO A SMALL WINDOW
TONIGHT...HEAVY RAIN POTENTIAL IS LIMITED. THE MODELS/ENSEMBLE
MEANS AND CONTINUITY ALL INDICATE ABOUT A QUARTER TO HALF INCH
LIQUID EQUIVALENT ACROSS THE NORTHERN WA CASCADES TO THE RANGES OF
NORTHWEST MT. A BLEND OF CONTINUITY AND MODEL/09Z SREF MEAN
CONSENSUS WAS USED FOR MANUAL QPF.
...NORTHERN PLAINS...
A BAND OF LOW LEVEL CONVERGENCE IS EXPECTED TO STRENGTHEN AHEAD OF
AN 850 MB JET MAXIMUM CROSSING NORTHERN MT-ND AND ADJACENT
SOUTHERN CANADA. THE 12Z GFS FCSTS PW VALUES JUST OVER AN INCH
NEAR THE WARM FRONTAL BNDRY. THE ASSOCIATED ISENTROPIC LIFT AND
300 MB DIVERGENCE MAXIMA WILL STEADILY CROSS NORTHEAST MT AND THEN
ND INTO NORTHERN MN. WITH THE STRONG MID-UPPER WESTERLY
JET...SHOWERS SHOULD MOVE EAST QUICKLY...LIMITING QPF AMOUNTS.
THE HI RES ARW IS ON THE HEAVIER SIDE OF THE QPF SPREAD. MANUAL
DAY 1 QPF BLENDED CONTINUITY WITH THE 12Z NAM/12Z GFS/09Z SREF
MEAN.
...CO/NM RANGES...
THE MODELS SHOW DIFLUENT UPPER FLOW WITHIN THE WEAK UPPER RIDGE
ACROSS CO AND NM. EMBEDDED WITHIN THE DIFLUENT FLOW THE GFS FCSTS
UPPER DIVERGENCE MAXIMA...AS WELL AS SPORADIC 700 MB DIVERGENCE
MAXIMA. THE MODELS ARE IN DECENT AGREEMENT IN SHOWERS DEVELOPING
WITH LIGHT AMOUNTS FOCUSED IN TERRAIN AREAS. DUE TO GOOD MODEL
AGREEMENT...A CONSENSUS APPROACH OF THE GFS/NAM/09Z SREF MEAN/12Z
UKMET QPF WAS TAKEN.
DAYS 2 AND 3...
...PACIFIC NORTHWEST...
SHORT WAVES IN THE MID LEVEL SOUTHWEST FLOW WILL AFFECT THE
PACIFIC NORTHWEST DURING BOTH DAYS 2 AND 3. THE 12Z MODEL SUITE
CLUSTERED WELL WITH BOTH OF THESE FEATURES...AND THE QPF WAS BASED
MAINLY ON A 12Z ECMWF/GFS BLEND.
THE FIRST SHORT WAVE COMES ASHORE DURING THE FIRST HALF OF DAY
2...AND THE BEST MID LEVEL VERTICAL MOTION AND MOISTURE OCCUR
DURING THIS TIME FRAME. PRECIPITABLE WATER VALUES HOVER NEAR 0.75
INCHES AHEAD OF THE SHORT WAVE...AND THE LOW TO MID LEVEL FLOW
SUPPORTS HEAVIER PRECIPITATION NORTH OF THE BORDER IN BC.
HOWEVER... THE OLYMPIC RANGE COULD SEE 0.25 TO 0.50 INCHES OF QPF
BEFORE THE END OF DAY 2.
THE SECOND...STRONGER SHORT WAVE ARRIVES ON THE WA COAST DURING
THE SECOND HALF OF DAY 3. ONCE AGAIN...PRECIPITABLE WATER VALUES
HOVER NEAR 0.75 INCHES WITH A WEAKER LOW TO MID LEVEL FLOW.
SYNOPTIC SCALE LIFT IS AIDED BY DIVERGENCE AHEAD OF A 90 KNOT JET
STREAK...AND THE ADDITIONAL LIFT SHOULD RESULT IN A LARGER AREA OF
QPF WITH THIS SHORT WAVE. A GENERAL 0.25 INCH QPF WAS PLACED
ACROSS WA AND OR... WITH LOCALLY HIGHER AMOUNTS IN THE HIGHER
TERRAIN OF THE OR COASTAL RANGE AND THE OLYMPICS IN WA.
...SOUTHERN PLAINS...
MOISTURE RETURNING NORTH FROM THE GULF OF MEXICO AHEAD OF THE
CLOSED LOW OVER MEXICO OPENING UP AND MOVING INTO THE REGION WILL
RESULT IN THE POTENTIAL FOR CONVECTION...MAINLY DURING DAY 3. THE
ECMWF HAS BEEN HANDLING THE EVOLUTION FROM CLOSED LOW TO OPEN
TROUGH WITH THIS SYSTEM BEST OVER THE PAST FEW MODEL CYCLES... SO
THE 12Z ECMWF WAS USED AS A GUIDE FOR QPF PLACEMENT.
THE PERSISTENT CLOSED LOW OVER NORTHERN MEXICO FINALLY OPENS UP
INTO A TROUGH DURING DAY 2...MOVING INTO THE SOUTHERN PLAINS LATE
IN DAY 2 INTO DAY 3. DIVERGENCE AHEAD OF A 90 KT JET STREAK
EMERGING FROM THE BOTTOM OF THE OPENING TROUGH WILL ENHANCE
SYNOPTIC SCALE LIFT. THE INCREASING LOW TO MID LEVEL FLOW AHEAD OF
THE SHORT WAVE WILL TRANSPORT 1.50 TO 1.75 INCH PRECIPITABLE WATER
AIR INTO TX AND OK STARTING ON DAY 2. MODEL SOUNDINGS SHOW
MARGINAL TO LOCALLY MODERATE INSTABILITY...WITH MOST OF THE
DEVELOPING CONVECTION AHEAD OF THE MID LEVEL FEATURE. AN AREA OF
0.15 TO 0.25 INCHES OF QPF WAS PAINTED ACROSS EASTERN TX AND
EASTERN OK...WITH LOCALLY HIGHER AMOUNTS POSSIBLE IN THUNDERSTORM
CLUSTERS.
THE HIGHEST LOW LEVEL THETA E AIR ARRIVES DURING DAY 3 ACROSS THE
SAME AREA. MODEL SOUNDINGS CONTINUE TO SHOW MARGINAL TO LOCALLY
MODERATE INSTABILITY... MAINLY DURING THE AFTERNOON AND EVENING.
THE ECMWF SHOWED A LARGER AREA OF STRONG CONVECTION POSSIBLE
ACROSS NORTHEAST TX...EASTERN OK AND WESTERN AR. AN AREA OF 0.25
TO 0.50 INCHES OF QPF WAS PLACED HERE....WITH LOCALLY HIGHER
AMOUNTS POSSIBLE IN ANY THUNDERSTORM CLUSTERS.
...MID ATLANTIC/OHIO VALLEY/MIDWEST...
MOISTURE STREAMING ALONG A STALLING COLD FRONT WILL PROVIDE THE
FOCUS FOR QPF ACROSS THE MID ATLANTIC...NORTHERN OHIO VALLEY AND
PORTIONS OF THE MIDWEST... MAINLY LATE IN DAY 2 AND DURING DAY 3.
THERE WAS SOME MODEL SPREAD CONCERNING THE PLACEMENT OF THE
SURFACE FRONT...ESPECIALLY DURING DAY 3. THE MORE SOUTHERN
POSITION OF THE FRONT WAS PREFERRED...AND THE QPF WAS A BLEND OF
THESE MODEL SOLUTIONS.
THERE COULD BE SOME QPF ACROSS THE NORTHERN MID ATLANTIC STATES
DURING DAY 2 AS A WARM FRONT LIFTS NORTH OF THE AREA. MOST OF THE
LIFT OCCURS NORTH OF THE AREA ACROSS NEW YORK STATE AND NEW
ENGLAND...BUT AN AREA OF 0.15 TO 0.25 INCHES OF QPF WAS PLACED
ACROSS PA INTO NJ TO ACCOUNT FOR THE WARM FRONTAL ACTIVITY.
THE COLD FRONT SLOWS AS IT APPROACHES THE MID ATLANTIC STATES...AS
ITS MID LEVEL SUPPORT SHEARS OUT INTO QUEBEC. AS THE FRONT
STALLS...IT WILL LIE MORE OR LESS STATIONARY FROM THE MID ATLANTIC
STATE BACK THROUGH SOUTHERN IL...SOUTHERN IN INTO NORTHERN MO. THE
FRONT WILL ACT AS A CONDUIT FOR 1.25 INCH PRECIPITABLE WATER AIR
TO BE FUNNELED EAST TO THE MID ATLANTIC. MODEL SOUNDINGS SHOW
MARGINAL INSTABILITY ALONG AND JUST SOUTH OF THE FRONT...AND MUCH
OF THE QPF SHOULD COME FROM MAINLY DIURNAL CONVECTION IN THE HIGH
PRECIPITABLE WATER AIR.
THERE ARE SOME INDICATIONS THAT SMALL CONVECTIVE COMPLEXES COULD
FORM ON THE FRONT ACROSS THE MIDWEST AND MOVE EAST ACROSS THE
FRONT DURING DAY 3. A STRIPE OF 0.25 TO 0.50 INCHES OF QPF WAS
PLACED ALONG THE EXPECTED FRONTAL POSITION...BUT GIVEN THAT THERE
IS SOME MODEL SPREAD ON THE POSITION OF THE FRONT...THE AXIS OF
HEAVIER QPF MAY NEED TO BE MOVED IN SUBSEQUENT FORECASTS.
...NEW ENGLAND...
OVERRUNNING AHEAD OF A WEAKENING MID LEVEL SHORT WAVE WILL BRING
AN AREA OF RAIN TO NEW ENGLAND...MAINLY DURING DAY 3. THERE WAS
GOOD 12Z MODEL CONSENSUS CONCERNING THE MASS FIELDS AND SEQUENCE
OF EVENTS WITH THIS SYSTEM...SO THE QPF TEMPLATE WAS BASED LARGELY
ON A 12Z ECMWF/12Z GFS BLEND.
A 45 TO 50 KNOT LOW LEVEL SOUTHWEST FLOW AHEAD OF THE SHORT WAVE
CROSSING QUEBEC WILL TRANSPORT 1.25 INCH PRECIPITABLE WATER AIR UP
AND OVER A WARM FRONT CROSSING QUEBEC INTO NEW ENGLAND. A 110 KNOT
JET STREAK CROSSING EASTERN CANADA WILL PROVIDE SYNOPTIC SCALE
ACROSS THE REGION. MODEL SOUNDINGS SHOW THAT THE AREA REMAINS
STABLE...AND EVEN ELEVATED CONVECTION APPEARS UNLIKELY ACROSS NEW
ENGLAND.
THE BEST VERTICAL MOTION AHEAD OF THE SHORT WAVE OCCURS ACROSS THE
NORTHERN HALF OF ME...WHERE A 0.25 TO 0.50 INCH AREA OF QPF WAS
PLACED. LESS AMOUNTS...DOWN TO 0.10 INCHES...WERE PLACED ACROSS
THE REMAINDER OF NEW ENGLAND.
PETERSEN/HAYES
GRAPHICS AVAILABLE ON THE WEB AT WWW.WPC.NCEP.NOAA.GOV
24HR QP VT 15/00Z
0.01 554929 552915 550906 548899 546894 542881 537875 530869
527867 522866 515864 509864 502863 498863 495861 489856
484852 481849 482846 483841 481833 474829 462826 454825
452822 450816 444807 439800 433796 430796 426797 424801
421801 417801 414799 404787 398784 395784 393788 395793
397797 402800 406807 410811 415817 419819 423820 425821
427824 428835 431847 433851 435853 434857 435861 438866
439872 441876 443878 444879 449878 451879 452882 452885
450892 449896 441912 427941 420955 418959 417965 413972
411976 411980 409984 409989 410992 413996 416999 419999
422998 424995 427989 435976 442962 445959 447962 448965
450968 451973 456977 458977 461980 461987 462994 463998
467008 471027 472034 471040 468051 468056 470064 470072
470086 468091 467093 466105 466117 457134 449150 448158
448165 450175 452184 455186 459186 462180 466175 469173
471176 479181 484188 486193 486197 484198 479203 473206
467209 461213 452216 445216 440218 439220 439223 444224
450226 454224 459226 460230 456231 449233 446235 443235
440237 436236 430240 431242 436244 447240 452240 457241
466244 468249 467252 464260 464270 466276 470277 475278
477279 479284 485297 489298 491303 493309 495311 498312
501311 504308 506303 511294 515282 518269 521262 521255
520251 516242 508222 509218 510216 513215 515217 521225
524232 527233 529231 534225 536215 538206 538198 538191
536186 532176 528167 524159 523156 522152 527153 529155
531145 531136 530133 529117 529108 530098 532087 536063
537051 538048 539040 539032 541028 542012 543008 543999
543991 544987 546980 549973 551966 552957 554929
0.01 419060 418049 418045 416041 415037 413034 406034 403038
399041 395038 391038 388041 383042 375042 372040 369040
361049 353051 343051 335051 330055 330059 333062 336062
340062 343065 342070 341072 337074 333074 330075 329079
327082 330085 333085 338099 344099 349093 353089 356082
357077 359075 364072 367070 369072 372075 374079 375083
378083 381079 382075 386072 390072 392070 395066 398065
404062 407062 410064 414065 419060
0.01 278085 290086 301084 296064 297055 310055 316031 325022
334001 335988 328988 324992 307994 304990 294973 265960
241956 230963 228981 231007 247039 263051 269057 271061
271067 271078 272081 274085 278085
0.01 262791 260788 256788 251787 248791 246795 246800 245804
243807 242811 243815 246814 246811 247807 251804 256801
258801 260798 261795 262791
0.25 539928 539920 538911 536903 533897 529894 526892 519891
514891 508894 500899 495902 493906 493910 494915 496921
497925 498934 496946 494956 493973 492985 489997 488012
485024 484035 485042 487048 488050 491047 493036 495029
496022 498015 500012 504013 507019 510031 512042 514057
513070 512078 512086 514102 514108 516112 518114 522110
523104 524087 525079 524070 523062 523056 525041 528029
531019 533005 536992 537975 538963 539950 539928
0.25 528203 529197 528193 525183 522173 519165 514157 509153
503149 499148 494145 491139 486133 482131 478129 474132
473137 475141 480142 484147 486151 485156 483156 480160
484165 486170 489174 494180 500183 504185 506188 511194
516200 520203 525203 528203
0.25 512261 513257 513252 512246 508235 501224 499219 499214
497211 494208 488208 483207 480208 476211 474215 475217
481220 487222 491225 494231 495236 498241 500247 500251
497254 493258 497264 501266 504265 512261
0.25 471158 471154 471150 468148 466149 465150 463152 464155
467156 468158 470159 471158
0.25 269998 267989 264981 258974 255972 250971 246974 243981
238987 239996 245001 250003 253005 259005 264003 269998
0.50 534935 534925 531916 528916 522918 520920 517926 515931
513941 512954 511961 511970 515983 523988 526989 529986
531980 532965 532950 534935
0.50 507170 506177 510184 515187 517184 512174 507170 482134
480133
478134 479135 480135 482134
0.50 493217 494212 491214 488213 485212 482211 479212 479213
482216 484216 487217 490217 493217 493217
0.50 261996 262993 262990 262987 259984 257985 256985 254987
253988 253991 254994 255997 258998 260997 261996
24HR QP VT 16/00Z
0.01 566908 567902 566896 564884 563871 560856 550819 545793
531768 515746 511740 507737 499729 486717 478713 469713
463713 458715 446715 437711 432709 428709 413703 409702
403703 401703 395707 393712 390718 387722 387730 386743
385746 382749 383753 381757 383761 386767 389773 391779
390782 388784 385787 386790 385795 386799 389801 394804
396807 397813 399820 399827 400834 398840 395858 394865
394872 393877 394884 394893 399897 401897 405892 408877
408872 410866 413855 413849 415848 417849 416873 413878
412885 409899 412902 413907 412912 411925 411930 411933
409937 410950 413979 414988 417993 419999 425005 428006
431005 433002 436997 437991 437987 438983 438980 436966
436959 433953 432945 433940 451920 458912 467903 469899
474897 479895 483896 487897 492901 499908 502913 505919
507929 509942 515955 520956 524958 530959 536958 548955
554954 560942 563935 565925 566908
0.01 533205 535198 535192 533185 530179 526174 517164 512159
506155 494153 491161 489166 491174 491184 493194 498191
501192 508194 517205 523211 526213 533205
0.01 521260 522252 521248 519237 513222 507214 502208 494204
486203 479204 472207 467210 461214 456221 451227 443236
439239 438244 439253 437263 435275 443288 440294 440298
442300 449301 449306 446309 444317 442328 452325 462320
476315 486305 492300 497296 503292 509290 513282 517272
519263 521260
0.01 457131 459115 458110 457105 456100 453097 445092 427091
425096 423099 420101 415102 412102 410099 407095 406099
406110 415111 420119 423121 426124 429123 431118 438114
440114 443117 444120 444126 443129 442133 439136 437139
436141 436148 438150 441153 447150 453143 455134 457131
0.01 436056 436052 433048 427044 416041 414006 413002 410999
407996 400996 395997 393006 392016 389031 385036 380041
369044 355051 351053 344054 341055 338058 341059 348059
351059 355061 359065 367066 371070 372076 378083 384083
388080 395080 402079 407073 411070 415065 417063 422061
430061 434059 436056
0.01 381918 379911 371912 359916 338927 322931 316933 312937
293948 287957 283961 276964 268966 261972 261975 263977
265986 264994 265002 267005 269007 267009 263006 261002
251995 241991 237989 235992 234998 236005 243014 251018
261021 271023 278024 282024 284027 287031 293031 298031
301033 315033 323033 331032 340025 341021 340014 333007
322001 319999 322997 329996 335995 339993 341991 344990
349987 354985 357981 362980 367972 372964 371956 373949
376939 379930 379922 381918
0.25 559900 557881 554866 549842 544824 542819 540815 530800
524790 521780 511762 505753 499746 495742 488740 481743
478745 475752 471756 470761 473767 472773 471779 473787
476797 481805 483812 485820 487827 487832 487842 490856
491863 494872 499879 507893 512903 516915 519925 522934
525938 528942 533944 538944 545940 551934 556923 558915
559900
0.25 515257 515248 514241 510232 507228 503226 499226 495228
489229 485232 478243 472247 468249 461254 460258 461263
462267 462271 463274 465274 471274 478277 483281 488287
492288 494287 499284 504279 508274 510265 511261 514259
515257
0.25 442871 442867 439864 438863 435862 433866 434870 434871
435874 438876 441875 442871
0.25 417795 417791 416787 415784 413781 411779 410778 407777
404779 402782 401787 401791 402794 404796 405797 408799
411801 414800 416797 417795
0.50 554908 554893 551880 547858 545849 541840 537835 533832
526829 522823 520818 518814 517808 517799 514792 506780
498775 495780 498785 502818 507825 509828 509833 507839
506848 505858 506863 507869 513884 520902 525918 529926
533930 538930 543927 548921 552915 554908
0.50 500275 502271 503267 502260 500255 495250 492247 488247
483248 479250 476253 473259 474265 479269 485273 487275
492280 496280 497278 500275
1.00 541897 541892 540887 539885 536886 534890 535894 535899
535900 537904 539905 539903 541898 541897
1.00 534870 533869 530866 530867 530871 531874 534872 534870
24HR QP VT 17/00Z
0.01 526708 525699 523693 519679 513664 508652 501636 495624
484612 478608 472604 459602 447600 443601 439604 433613
425620 421625 421628 420632 417637 415645 412649 408653
399660 390667 385673 379680 376686 371692 367698 360713
358720 357728 358743 361747 364752 363761 360765 360768
357777 356784 355790 356794 356802 358813 362825 363835
364843 367853 369862 372869 372877 369886 365894 361899
352904 346908 342910 339912 335914 330915 316913 310912
306912 304914 300920 298927 299933 301940 306946 311953
322960 330963 332964 335962 352958 357955 365953 374951
379955 383962 383968 382973 379977 379980 380992 378996
378000 381008 386015 388017 392017 399020 410019 419019
427023 432027 437033 444040 447044 450050 450056 452056
456060 461063 468064 472058 474055 475048 476036 477029
476023 477016 478011 477996 477990 475986 473972 471969
467966 460963 447957 442956 437952 432948 428941 422934
419931 417926 413916 412910 412904 412894 411880 412872
411861 411850 411847 411841 413821 414804 414796 413787
414778 415773 419770 425762 430755 440748 450743 453746
455751 457755 460758 466776 470781 472787 475798 477802
480806 484820 488827 493832 500837 502841 504847 506855
508859 511861 515861 517863 523861 526863 529862 536842
539832 543822 540794 536769 536760 533745 533735 529723
526710 526708
0.01 537201 534193 530184 527178 528173 525168 525164 518148
514140 512138 510137 501121 499118 495115 490108 486101
485093 485090 487087 487083 485081 482080 473081 471083
467084 464085 460088 455087 453084 449088 444089 435089
431089 427088 425092 430099 423109 429112 434111 438115
442121 434136 429154 425158 423158 420161 419164 422170
428171 429175 428177 427179 426185 426188 437193 439198
434199 425197 415202 405212 404216 405218 409222 407227
400227 398230 400233 402235 402240 404248 405256 409263
412271 416276 421282 430286 433287 436285 438284 439280
444256 447254 450252 457251 472252 480255 487259 489262
492266 494273 498283 500287 504287 505282 509279 512271
517263 519254 519249 522246 523239 525228 526218 530213
533210 537201
0.01 473184 475172 473168 470167 466167 462166 458168 460173
460177 459182 456185 452189 448196 445202 447207 456208
459206 462206 466199 469194 470188 473184
0.01 421049 422042 421037 418032 408033 400034 399036 394037
389035 384034 380032 374032 368033 362037 357041 352047
352055 358056 375055 378057 381058 389059 398058 407058
410057 413054 416053 418050 421049
0.25 501682 497672 494666 489658 485655 480653 475653 469654
464654 459653 456653 452655 449659 448663 446669 448684
450693 450699 449708 450713 452717 457721 462723 471727
482732 485738 489748 496762 500768 503771 506770 509768
510763 509759 504740 502731 497727 492725 490722 491719
492715 494713 499707 502692 501682
0.25 511731 509727 506725 505724 504726 506729 507730 510731
511731 511731
0.25 435669 430665 426663 418663 413668 409676 407679 403681
398684 391690 382701 378707 376711 376716 376719 378722
381723 385722 391715 395708 403702 407700 411699 417697
422693 429687 434679 436672 435669
0.25 445220 443215 440214 437214 434214 431216 428218 427219
425222 427225 429227 432227 435227 436226 439224 441223
442222 445220 445220
0.25 450006 450002 448998 445995 442994 438991 435987 432984
429981 428985 429993 432996 434000 437004 442007 445007
450006
0.25 403814 403808 402803 397797 394784 391777 388773 385774
381780 379786 378794 379801 380817 381826 381834 382850
381857 380865 379878 379896 379905 382912 386917 389926
393941 396948 400950 404947 407941 408934 406924 405913
405896 402877 402868 402860 403843 403828 403814
0.25 419971 419967 419963 418959 415956 415955 414956 414960
415964 415967 416971 416973 419971 419971
0.25 363933 362930 358926 355924 349924 340923 330927 324932
322936 322939 323942 329948 333949 339949 347950 354950
361945 363933
0.50 466696 465692 464692 462690 460689 457689 456695 459697
459702 458702 457708 458712 459713 461715 463715 466714
468710 468709 468704 467700 466697 466696
0.50 397828 394818 393807 393803 390800 387802 385806 385811
386823 386833 386846 386858 384880 385887 386895 390904
395919 397929 398933 400934 402929 402916 402904 401890
400877 399863 398840 397828
0.50 351936 351935 349933 348932 345931 342932 339933 337935
335936 337939 338939 340939 343939 346939 348938 351936
351936
$$