000
FZUS51 KAKQ 231013
CWFAKQ

COASTAL WATERS FORECAST
NATIONAL WEATHER SERVICE WAKEFIELD VA
613 AM EDT THU MAY 23 2013

VIRGINIA PORTION OF THE CHESAPEAKE BAY...CURRITUCK SOUND AND ATLANTIC
COASTAL WATERS FROM FENWICK ISLAND DE TO CURRITUCK BEACH LIGHT NC OUT
20 NAUTICAL MILES

ANZ600-231815-
613 AM EDT THU MAY 23 2013

.SYNOPSIS FOR FENWICK ISLAND DE TO CURRITUCK BEACH LIGHT NC OUT
20 NAUTICAL MILES INCLUDING VIRGINIA PORTION OF THE CHESAPEAKE BAY
CURRITUCK SOUND AND PORTIONS OF THE JAMES, YORK,
AND RAPPAHANNOCK RIVERS...

HIGH PRESSURE REMAINS OFF THE MID ATLANTIC COAST THROUGH TODAY. A
COLD FRONT CROSSES THE WATERS FRIDAY MORNING. HIGH PRESSURE SLOWLY
BUILDS OVER THE WATERS DURING THE WEEKEND.

$$

ANZ630-231815-
CHESAPEAKE BAY FROM SMITH POINT TO WINDMILL POINT VA-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT THROUGH THIS EVENING...

.TODAY...S WINDS 15 TO 20 KT. WAVES 2 TO 3 FT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS. 
.TONIGHT...S WINDS 10 TO 15 KT...BECOMING SW AFTER MIDNIGHT. WAVES 1 TO
2 FT. A CHANCE OF TSTMS IN THE EVENING. SHOWERS LIKELY. 
.FRI...NW WINDS 10 TO 15 KT...INCREASING TO 20 TO 25 KT IN THE
AFTERNOON. WAVES 2 TO 3 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 20 TO 25 KT. WAVES 3 TO 4 FT. 
.SAT...NW WINDS 20 TO 25 KT...DIMINISHING TO 15 TO 20 KT IN THE
AFTERNOON. WAVES 3 TO 4 FT. 
.SAT NIGHT...NW WINDS 10 TO 15 KT. WAVES 1 TO 2 FT. 
.SUN...NW WINDS 5 TO 10 KT...BECOMING W IN THE EVENING...THEN BECOMING
NW AFTER MIDNIGHT. WAVES 1 TO 2 FT. 
.MON...NW WINDS 5 KT...BECOMING S. WAVES 1 FOOT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ631-231815-
CHESAPEAKE BAY FROM WINDMILL POINT TO NEW POINT COMFORT VA-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT THROUGH THIS EVENING...

.TODAY...S WINDS 15 TO 20 KT. WAVES 2 TO 3 FT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS. 
.TONIGHT...SW WINDS 10 TO 15 KT. WAVES 1 TO 2 FT. A CHANCE OF TSTMS IN
THE EVENING. SHOWERS LIKELY. 
.FRI...W WINDS 10 TO 15 KT...BECOMING NW 20 TO 25 KT IN THE AFTERNOON.
WAVES 1 TO 2 FT...BUILDING TO 3 TO 4 FT IN THE AFTERNOON. A CHANCE OF
SHOWERS. 
.FRI NIGHT...NW WINDS 20 TO 25 KT. WAVES 3 TO 4 FT. 
.SAT...NW WINDS 15 TO 20 KT. WAVES 3 TO 4 FT. 
.SAT NIGHT...NW WINDS 10 TO 15 KT. WAVES 2 TO 3 FT. 
.SUN...NW WINDS 5 TO 10 KT...BECOMING S IN THE EVENING...THEN BECOMING
W AFTER MIDNIGHT. WAVES 1 TO 2 FT. 
.MON...W WINDS 5 KT...BECOMING S. WAVES 1 FOOT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ632-231815-
CHESAPEAKE BAY FROM NEW POINT COMFORT TO LITTLE CREEK VA-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT THROUGH THIS EVENING...

.TODAY...S WINDS 15 TO 20 KT. WAVES 2 FT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS.
.TONIGHT...SW WINDS 10 TO 15 KT. WAVES 1 TO 2 FT. A CHANCE OF TSTMS IN
THE EVENING. SHOWERS LIKELY. 
.FRI...W WINDS 5 TO 10 KT...BECOMING NW 15 TO 20 KT IN THE AFTERNOON.
WAVES 1 TO 2 FT...BUILDING TO 3 TO 4 FT IN THE AFTERNOON. A CHANCE OF
SHOWERS. 
.FRI NIGHT...NW WINDS 20 KT. WAVES 3 TO 4 FT.
.SAT...NW WINDS 15 TO 20 KT. WAVES 3 TO 4 FT. 
.SAT NIGHT...NW WINDS 10 TO 15 KT. WAVES 2 TO 3 FT. 
.SUN...NW WINDS 5 TO 10 KT...BECOMING SE IN THE EVENING...THEN BECOMING
W AFTER MIDNIGHT. WAVES 1 FOOT. 
.MON...W WINDS 5 KT...BECOMING SE IN THE AFTERNOON AND EVENING...THEN
BECOMING S AFTER MIDNIGHT. WAVES 1 FOOT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ634-231815-
CHESAPEAKE BAY FROM LITTLE CREEK TO CAPE HENRY VA...INCLUDING THE
CHESAPEAKE BAY BRIDGE TUNNEL-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT THROUGH THIS EVENING...

.TODAY...S WINDS 15 TO 20 KT. WAVES 2 FT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS.
.TONIGHT...SW WINDS 10 TO 15 KT. WAVES 2 FT. A CHANCE OF TSTMS IN THE
EVENING. SHOWERS LIKELY. 
.FRI...W WINDS 5 TO 10 KT...BECOMING NW 15 TO 20 KT IN THE AFTERNOON.
WAVES 2 FT...BUILDING TO 3 TO 4 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 20 KT. WAVES 4 FT. 
.SAT...NW WINDS 15 TO 20 KT. WAVES 3 TO 4 FT. 
.SAT NIGHT...NW WINDS 10 TO 15 KT. WAVES 2 TO 3 FT. 
.SUN...NW WINDS 5 TO 10 KT...BECOMING SE IN THE EVENING...THEN BECOMING
W AFTER MIDNIGHT. WAVES 1 TO 2 FT. 
.MON...W WINDS 5 KT...BECOMING SE IN THE AFTERNOON AND EVENING...THEN
BECOMING S AFTER MIDNIGHT. WAVES 1 TO 2 FT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ650-231815-
COASTAL WATERS FROM FENWICK ISLAND DE TO CHINCOTEAGUE VA OUT TO 20 NM-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT THROUGH FRIDAY AFTERNOON...

.TODAY...S WINDS 15 TO 20 KT. SEAS 4 TO 5 FT WITH A DOMINANT
PERIOD OF 7 SECONDS. A CHANCE OF TSTMS. A CHANCE OF SHOWERS IN THE
MORNING...THEN SHOWERS LIKELY IN THE AFTERNOON.
.TONIGHT...S WINDS 15 TO 20 KT...BECOMING SW 10 TO 15 KT AFTER
MIDNIGHT. SEAS 5 TO 6 FT WITH A DOMINANT PERIOD OF 7 SECONDS. A CHANCE
OF TSTMS IN THE EVENING. SHOWERS LIKELY. 
.FRI...W WINDS 5 TO 10 KT...BECOMING NW 20 TO 25 KT WITH GUSTS TO
AROUND 30 KT IN THE AFTERNOON. SEAS 4 TO 5 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 20 TO 25 KT WITH GUSTS TO AROUND 30 KT. SEAS 5 TO
6 FT. A CHANCE OF SHOWERS. 
.SAT...NW WINDS 20 TO 25 KT WITH GUSTS TO AROUND 30 KT. SEAS 5 TO 6 FT.
.SAT NIGHT...NW WINDS 15 TO 20 KT. SEAS 4 TO 5 FT. 
.SUN...NW WINDS 10 TO 15 KT. SEAS 3 TO 4 FT. 
.MON...NW WINDS 5 TO 10 KT...BECOMING S AFTER MIDNIGHT. SEAS 3 FT.  

WINDS AND SEAS HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ652-231815-
COASTAL WATERS FROM CHINCOTEAGUE TO PARRAMORE ISLAND VA OUT TO 20 NM-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT THROUGH FRIDAY AFTERNOON...

.TODAY...S WINDS 15 TO 20 KT. SEAS 4 TO 5 FT WITH A DOMINANT PERIOD OF
6 SECONDS. SHOWERS LIKELY WITH A CHANCE OF TSTMS.
.TONIGHT...S WINDS 15 TO 20 KT...BECOMING SW 10 TO 15 KT AFTER
MIDNIGHT. SEAS 5 TO 6 FT WITH A DOMINANT PERIOD OF 7 SECONDS. A CHANCE
OF TSTMS IN THE EVENING. SHOWERS LIKELY. 
.FRI...W WINDS 5 TO 10 KT...BECOMING NW 20 TO 25 KT WITH GUSTS TO
AROUND 30 KT IN THE AFTERNOON. SEAS 4 TO 5 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 20 TO 25 KT WITH GUSTS TO AROUND 30 KT. SEAS 4 TO
5 FT. A CHANCE OF SHOWERS. 
.SAT...NW WINDS 20 TO 25 KT WITH GUSTS TO AROUND 30 KT. SEAS 4 TO 5 FT.
.SAT NIGHT...NW WINDS 15 TO 20 KT. SEAS 4 TO 5 FT. 
.SUN...NW WINDS 10 TO 15 KT...DIMINISHING TO 5 TO 10 KT. SEAS 3 TO
4 FT. 
.MON...NW WINDS 5 KT...BECOMING S. SEAS 2 TO 3 FT.  

WINDS AND SEAS HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ654-231815-
COASTAL WATERS FROM PARRAMORE ISLAND TO CAPE CHARLES LIGHT VA OUT TO
20 NM-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT THROUGH FRIDAY AFTERNOON...

.TODAY...S WINDS 15 TO 20 KT. SEAS 4 TO 5 FT WITH A DOMINANT PERIOD OF
7 SECONDS. SHOWERS LIKELY WITH A CHANCE OF TSTMS. 
.TONIGHT...S WINDS 15 TO 20 KT...BECOMING SW 10 TO 15 KT AFTER
MIDNIGHT. SEAS 4 TO 5 FT WITH A DOMINANT PERIOD OF 7 SECONDS. A CHANCE
OF TSTMS IN THE EVENING. SHOWERS LIKELY. 
.FRI...W WINDS 10 KT...BECOMING NW 20 TO 25 KT WITH GUSTS TO AROUND
30 KT IN THE AFTERNOON. SEAS 4 TO 5 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 20 TO 25 KT WITH GUSTS TO AROUND 30 KT. SEAS 4 TO
5 FT. 
.SAT...NW WINDS 20 TO 25 KT WITH GUSTS TO AROUND 30 KT. SEAS 4 TO 5 FT.
.SAT NIGHT...NW WINDS 15 TO 20 KT. SEAS 4 TO 5 FT. 
.SUN...NW WINDS 10 TO 15 KT...DIMINISHING TO 5 TO 10 KT IN THE
EVENING...THEN BECOMING W AFTER MIDNIGHT. SEAS 3 TO 4 FT. 
.MON...NW WINDS 5 KT...BECOMING S. SEAS 2 TO 3 FT.  

WINDS AND SEAS HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ656-231815-
COASTAL WATERS FROM CAPE CHARLES LIGHT VA TO NC VA BORDER OUT TO 20 NM-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT FROM 4 PM EDT THIS AFTERNOON THROUGH
FRIDAY MORNING...

.TODAY...S WINDS 10 TO 15 KT...INCREASING TO 15 TO 20 KT. SEAS 3
TO 4 FT...BUILDING TO 4 TO 5 FT LATE. A DOMINANT PERIOD OF 6
SECONDS. SHOWERS LIKELY WITH A CHANCE OF TSTMS.
.TONIGHT...S WINDS 15 TO 20 KT...BECOMING SW 10 TO 15 KT AFTER
MIDNIGHT. SEAS 4 TO 5 FT WITH A DOMINANT PERIOD OF 8 SECONDS. A CHANCE
OF TSTMS IN THE EVENING. SHOWERS LIKELY. 
.FRI...W WINDS 5 TO 10 KT...BECOMING NW 20 TO 25 KT IN THE AFTERNOON.
SEAS 3 TO 4 FT. A CHANCE OF SHOWERS.
.FRI NIGHT...NW WINDS 20 TO 25 KT WITH GUSTS TO AROUND 30 KT. SEAS 4 TO
5 FT. 
.SAT...NW WINDS 20 TO 25 KT WITH GUSTS TO AROUND 30 KT. SEAS 4 TO 5 FT.
.SAT NIGHT...NW WINDS 15 TO 20 KT...DIMINISHING TO 10 TO 15 KT AFTER
MIDNIGHT. SEAS 3 TO 4 FT. 
.SUN...NW WINDS 5 TO 10 KT...DIMINISHING TO 5 KT IN THE EVENING...THEN
BECOMING W AFTER MIDNIGHT. SEAS 3 TO 4 FT. 
.MON...NW WINDS 5 KT...BECOMING E IN THE AFTERNOON... THEN BECOMING SE
IN THE EVENING...BECOMING S AFTER MIDNIGHT. SEAS 2 TO 3 FT.  

WINDS AND SEAS HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ658-231815-
COASTAL WATERS FROM NC VA BORDER TO CURRITUCK BEACH LIGHT NC OUT TO
20 NM-
613 AM EDT THU MAY 23 2013

...SMALL CRAFT ADVISORY IN EFFECT FROM 4 PM EDT THIS AFTERNOON THROUGH
FRIDAY MORNING...

.TODAY...S WINDS 10 TO 15 KT...INCREASING TO 15 TO 20 KT LATE. SEAS
3 TO 4 FT...BUILDING TO 4 TO 5 FT LATE. A DOMINANT PERIOD OF 7
SECONDS. SHOWERS LIKELY WITH A CHANCE OF TSTMS.
.TONIGHT...S WINDS 15 TO 20 KT...BECOMING SW 10 TO 15 KT AFTER
MIDNIGHT. SEAS 4 TO 5 FT WITH A DOMINANT PERIOD OF 8 SECONDS. A CHANCE
OF TSTMS IN THE EVENING. SHOWERS LIKELY. 
.FRI...SW WINDS 5 TO 10 KT...BECOMING NW 15 TO 20 KT IN THE AFTERNOON.
SEAS 3 TO 4 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 20 KT WITH GUSTS TO AROUND 30 KT. SEAS 5 TO 6 FT.
.SAT...NW WINDS 15 TO 20 KT WITH GUSTS TO AROUND 30 KT. SEAS 5 TO 6 FT.
.SAT NIGHT...NW WINDS 15 TO 20 KT...DIMINISHING TO 10 TO 15 KT AFTER
MIDNIGHT. SEAS 4 TO 5 FT. 
.SUN...NW WINDS 5 TO 10 KT...BECOMING W IN THE EVENING...THEN
INCREASING TO 5 TO 10 KT AFTER MIDNIGHT. SEAS 3 TO 4 FT. 
.MON...W WINDS 5 KT...BECOMING SE IN THE AFTERNOON AND EVENING...THEN
BECOMING S AFTER MIDNIGHT. SEAS 2 TO 3 FT.  

WINDS AND SEAS HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ633-231815-
CURRITUCK SOUND-
613 AM EDT THU MAY 23 2013

.TODAY...S WINDS 10 KT...INCREASING TO 15 KT. WAVES 1 FOOT.
SHOWERS LIKELY WITH A CHANCE OF TSTMS.
.TONIGHT...SW WINDS 10 TO 15 KT. WAVES 1 FOOT. A CHANCE OF TSTMS IN THE
EVENING. SHOWERS LIKELY. 
.FRI...SW WINDS 5 TO 10 KT...BECOMING NW 15 KT IN THE AFTERNOON.
WAVES 1 FOOT. A CHANCE OF SHOWERS.
.FRI NIGHT...NW WINDS 15 TO 20 KT. WAVES 1 FOOT. 
.SAT...NW WINDS 15 TO 20 KT...DIMINISHING TO 10 TO 15 KT IN THE
AFTERNOON. WAVES 1 FOOT. 
.SAT NIGHT...NW WINDS 10 TO 15 KT...DIMINISHING TO 5 TO 10 KT AFTER
MIDNIGHT. WAVES 1 FOOT. 
.SUN...NW WINDS 5 TO 10 KT...BECOMING W. WAVES 1 FOOT. 
.MON...NW WINDS 5 KT...BECOMING E IN THE AFTERNOON... THEN BECOMING SE
IN THE EVENING...BECOMING S AFTER MIDNIGHT. WAVES 1 FOOT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ635-231815-
RAPPAHANNOCK RIVER FROM URBANNA TO WINDMILL POINT-
613 AM EDT THU MAY 23 2013

.TODAY...S WINDS 10 TO 15 KT. WAVES 1 FOOT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS.
.TONIGHT...S WINDS 10 TO 15 KT...BECOMING SW 5 TO 10 KT AFTER MIDNIGHT.
WAVES 1 FOOT. A CHANCE OF TSTMS IN THE EVENING. SHOWERS LIKELY. 
.FRI...NW WINDS 10 TO 15 KT...INCREASING TO 15 TO 20 KT IN THE
AFTERNOON. WAVES 1 TO 2 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 15 TO 20 KT. WAVES 1 TO 2 FT. 
.SAT...NW WINDS 15 TO 20 KT...DIMINISHING TO 10 TO 15 KT IN THE
AFTERNOON. WAVES 1 TO 2 FT. 
.SAT NIGHT...NW WINDS 5 TO 10 KT. WAVES 1 FOOT. 
.SUN...NW WINDS 5 TO 10 KT...DIMINISHING TO 5 KT. WAVES 1 FOOT. 
.MON...W WINDS 5 KT...BECOMING S. WAVES 1 FOOT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ636-231815-
YORK RIVER-
613 AM EDT THU MAY 23 2013

.TODAY...S WINDS 10 TO 15 KT. WAVES 1 FOOT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS. 
.TONIGHT...SW WINDS 5 TO 10 KT. WAVES 1 FOOT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS IN THE EVENING...THEN A CHANCE OF SHOWERS AFTER
MIDNIGHT. 
.FRI...NW WINDS 5 TO 10 KT...INCREASING TO 15 TO 20 KT IN THE
AFTERNOON. WAVES 1 TO 2 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 15 KT. WAVES 1 TO 2 FT.
.SAT...NW WINDS 15 KT. WAVES 1 TO 2 FT.
.SAT NIGHT...NW WINDS 5 TO 10 KT. WAVES 1 FOOT. 
.SUN...NW WINDS 5 TO 10 KT...BECOMING SW IN THE EVENING...THEN BECOMING
W AFTER MIDNIGHT. WAVES 1 FOOT. 
.MON...W WINDS 5 KT...BECOMING S. WAVES 1 FOOT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ637-231815-
JAMES RIVER FROM JAMESTOWN TO THE JAMES RIVER BRIDGE-
613 AM EDT THU MAY 23 2013

.TODAY...S WINDS 10 TO 15 KT. WAVES 1 FOOT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS. 
.TONIGHT...SW WINDS 5 TO 10 KT. WAVES 1 FOOT. SHOWERS LIKELY WITH A
CHANCE OF TSTMS IN THE EVENING...THEN A CHANCE OF SHOWERS AFTER
MIDNIGHT. 
.FRI...NW WINDS 5 TO 10 KT...INCREASING TO 15 TO 20 KT IN THE
AFTERNOON. WAVES 1 TO 2 FT. A CHANCE OF SHOWERS IN THE MORNING. 
.FRI NIGHT...NW WINDS 15 KT. WAVES 2 FT.
.SAT...NW WINDS 15 KT. WAVES 2 FT.
.SAT NIGHT...NW WINDS 5 TO 10 KT. WAVES 1 FOOT. 
.SUN...NW WINDS 5 KT...BECOMING W. WAVES 1 FOOT. 
.MON...NW WINDS 5 KT...BECOMING S. WAVES 1 FOOT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$

ANZ638-231815-
JAMES RIVER FROM THE JAMES RIVER BRIDGE TO THE HAMPTON ROADS BRIDGE-
TUNNEL-
613 AM EDT THU MAY 23 2013

.TODAY...S WINDS 15 KT. WAVES 1 TO 2 FT. SHOWERS LIKELY WITH A CHANCE
OF TSTMS. 
.TONIGHT...SW WINDS 10 KT. WAVES 1 FOOT. SHOWERS LIKELY WITH A CHANCE
OF TSTMS IN THE EVENING...THEN A CHANCE OF SHOWERS AFTER MIDNIGHT. 
.FRI...W WINDS 5 TO 10 KT...BECOMING NW 15 TO 20 KT IN THE AFTERNOON.
WAVES 1 TO 2 FT. A CHANCE OF SHOWERS. 
.FRI NIGHT...NW WINDS 15 TO 20 KT. WAVES 2 FT. 
.SAT...NW WINDS 10 TO 15 KT. WAVES 2 FT. 
.SAT NIGHT...NW WINDS 5 TO 10 KT. WAVES 1 FOOT. 
.SUN...NW WINDS 5 KT...BECOMING W. WAVES 1 FOOT. 
.MON...W WINDS 5 KT...BECOMING S. WAVES 1 FOOT.  

WINDS AND WAVES HIGHER AND VISIBILITIES LOWER IN AND NEAR TSTMS.

$$