fzus54 kbro 161732
cwfbro
expires:202602170630;;737384

coastal waters forecast for the lower texas coast
national weather service brownsville tx
1132 am cst mon feb 16 2026

lower texas coastal waters from baffin bay to the mouth of the
rio grande out 60 nm. 

seas are provided as a range of the average height of the highest
1/3 of the waves, along with the occasional height of the average
highest 10 percent of the waves.


gmz130-132-135-170630-
laguna madre from the port of brownsville to the arroyo colorado-
laguna madre from the arroyo colorado to 5 nm north of port
mansfield tx-
laguna madre from 5 nm north of port mansfield to baffin bay tx-
1132 am cst mon feb 16 2026

.tonight...southeast winds 5 to 10 knots. light chop on the bay. 
.tuesday...southeast winds 10 to 15 knots, increasing to 15 to
20 knots in the afternoon. choppy on the bay. 
.tuesday night...southeast winds 15 to 20 knots, becoming south
10 to 15 knots in the late evening and overnight. choppy on the
bay, diminishing to a moderate chop in the late evening and
overnight. 
.wednesday...south winds 10 to 15 knots, becoming southeast 15 to
20 knots late in the afternoon. a moderate chop on the bay,
increasing to choppy late in the afternoon. 
.wednesday night...south winds around 15 knots. a moderate chop
on the bay. 
.thursday...south winds 10 to 15 knots, becoming southeast late
in the afternoon. a moderate chop on the bay. 
.thursday night...southeast winds 10 to 15 knots. a moderate chop
on the bay. 
.friday...southeast winds 10 to 15 knots. a moderate chop on the
bay. 
.friday night...southeast winds 10 to 15 knots, diminishing to
5 to 10 knots early in the morning. a moderate chop on the bay,
diminishing to light chop early in the morning. 
.saturday...east winds 5 to 10 knots, increasing to 10 to
15 knots late in the afternoon. light chop on the bay, increasing
to a moderate chop late in the afternoon. 
.saturday night...northeast winds around 10 knots. light chop on
the bay. 

$$

fzus54 kbro 161732
cwfbro
expires:202602170630;;737385

coastal waters forecast for the lower texas coast
national weather service brownsville tx
1132 am cst mon feb 16 2026

lower texas coastal waters from baffin bay to the mouth of the
rio grande out 60 nm. 

seas are provided as a range of the average height of the highest
1/3 of the waves, along with the occasional height of the average
highest 10 percent of the waves.


gmz150-155-170630-
gulf waters from port mansfield to the rio grande out 20 nm-
gulf waters from baffin bay to port mansfield out 20 nm-
1132 am cst mon feb 16 2026

.tonight...southeast winds around 10 knots. seas 2 to 3 feet.
wave detail: southeast 2 feet at 7 seconds and east 1 foot at
4 seconds. 
.tuesday...southeast winds 10 to 15 knots. seas 2 to 4 feet. wave
detail: southeast 3 feet at 7 seconds. 
.tuesday night...south winds around 15 knots. seas 3 to 5 feet.
wave detail: east 4 feet at 6 seconds. 
.wednesday...south winds 10 to 15 knots. seas 3 to 5 feet. wave
detail: southeast 4 feet at 6 seconds. 
.wednesday night...south winds 15 to 20 knots. seas 3 to 4 feet.
wave detail: southeast 4 feet at 6 seconds. 
.thursday...south winds 10 to 15 knots. seas 4 to 6 feet,
occasionally to 8 feet. wave detail: southeast 4 feet at
6 seconds. 
.thursday night...southeast winds 10 to 15 knots. seas 3 to
5 feet. 
.friday...southeast winds around 10 knots. seas 3 to 5 feet. 
.friday night...southeast winds around 10 knots. seas 3 to
5 feet. 
.saturday...east winds 5 to 10 knots, becoming northeast in the
afternoon. seas 3 to 5 feet. 
.saturday night...northeast winds around 10 knots, becoming 10 to
15 knots early in the morning. seas 3 to 4 feet, building to 4 to
6 feet, occasionally to 8 feet after midnight. 

$$

fzus54 kbro 161732
cwfbro
expires:202602170630;;737386

coastal waters forecast for the lower texas coast
national weather service brownsville tx
1132 am cst mon feb 16 2026

lower texas coastal waters from baffin bay to the mouth of the
rio grande out 60 nm. 

seas are provided as a range of the average height of the highest
1/3 of the waves, along with the occasional height of the average
highest 10 percent of the waves.


gmz170-175-170630-
gulf waters from port mansfield to the rio grande extending from
20 to 60 nm-
gulf waters from baffin bay to port mansfield extending from
20 to 60 nm-
1132 am cst mon feb 16 2026

.tonight...southeast winds 10 to 15 knots. seas 2 to 4 feet. wave
detail: east 3 feet at 4 seconds and southeast 2 feet at
7 seconds. 
.tuesday...south winds 10 to 15 knots. seas 3 to 4 feet. wave
detail: southeast 3 feet at 6 seconds. 
.tuesday night...south winds 15 to 20 knots. seas 3 to 5 feet.
wave detail: southeast 5 feet at 5 seconds. 
.wednesday...south winds 15 to 20 knots, diminishing to 10 to
15 knots in the afternoon. seas 4 to 5 feet. wave detail: south
5 feet at 6 seconds. 
.wednesday night...south winds 15 to 20 knots. seas 4 to 5 feet.
wave detail: south 5 feet at 6 seconds. 
.thursday...south winds 15 to 20 knots, diminishing to 10 to
15 knots late in the afternoon. seas 4 to 6 feet, occasionally to
8 feet. wave detail: south 5 feet at 6 seconds. 
.thursday night...southeast winds 10 to 15 knots. seas 4 to
5 feet. 
.friday...southeast winds 10 to 15 knots. seas 4 to 5 feet. 
.friday night...southeast winds 10 to 15 knots. seas 4 to 5 feet.
.saturday...east winds around 10 knots, becoming northeast in the
afternoon. seas 4 to 5 feet. 
.saturday night...northeast winds 10 to 15 knots. seas 4 to
5 feet, building to 5 to 7 feet, occasionally to 9 feet after
midnight. 

$$

fzus54 kcrp 161729
cwfcrp
expires:202602170615;;737216

coastal waters forecast for texas
national weather service corpus christi tx
1129 am cst mon feb 16 2026

middle texas coastal waters from baffin bay to matagorda ship
channel out to 60 nautical miles.
 
seas are provided as a range of the average height of the highest
1/3 of the waves...along with occasional height of the average
highest 10 percent of the waves. 
 


gmz250-170615-
coastal waters from baffin bay to port aransas out 20 nm-
1129 am cst mon feb 16 2026

.rest of today...east winds around 5 knots, becoming southeast
late. seas around 2 feet. wave detail: southeast 2 feet at
7 seconds and northeast 1 foot at 4 seconds. 
.tonight...southeast winds 10 to 15 knots. seas 2 to 3 feet. wave
detail: southeast 3 feet at 4 seconds and southeast 3 feet at
7 seconds. 
.tuesday...south winds 10 to 15 knots, becoming southeast 15 to
20 knots in the afternoon. seas 2 to 4 feet, occasionally to
5 feet. wave detail: southeast 4 feet at 5 seconds. 
.tuesday night...south winds 15 to 20 knots with gusts up to
25 knots. seas 4 to 5 feet, occasionally to 6 feet. wave detail:
southeast 5 feet at 6 seconds. 
.wednesday...south winds 10 to 15 knots, increasing to 15 to
20 knots in the afternoon. seas 3 to 5 feet, occasionally to
6 feet. wave detail: southeast 4 feet at 6 seconds. 
.wednesday night...south winds 15 to 20 knots with gusts up to
25 knots. seas 4 to 5 feet, occasionally to 6 feet. wave detail:
southeast 5 feet at 6 seconds. 
.thursday...south winds 15 to 20 knots, diminishing to 10 to
15 knots in the afternoon. seas 3 to 5 feet, occasionally to
6 feet. 
.thursday night...southeast winds 10 to 15 knots. seas 3 to
4 feet, occasionally to 5 feet. 
.friday...southeast winds 10 to 15 knots. seas 3 to 4 feet,
occasionally to 5 feet. 
.friday night...southeast winds 10 to 15 knots. seas 4 to 5 feet,
occasionally to 6 feet. 

$$

fzus54 kcrp 161729
cwfcrp
expires:202602170615;;737215

coastal waters forecast for texas
national weather service corpus christi tx
1129 am cst mon feb 16 2026

middle texas coastal waters from baffin bay to matagorda ship
channel out to 60 nautical miles.
 
seas are provided as a range of the average height of the highest
1/3 of the waves...along with occasional height of the average
highest 10 percent of the waves. 
 


gmz255-170615-
coastal waters from port aransas to matagorda ship channel out
20 nm-
1129 am cst mon feb 16 2026

.rest of today...east winds 5 to 10 knots. seas 2 to 3 feet. wave
detail: southeast 2 feet at 7 seconds and east 1 foot at
3 seconds. 
.tonight...southeast winds 10 to 15 knots. seas 2 to 3 feet. wave
detail: southeast 3 feet at 4 seconds and southeast 3 feet at
7 seconds. 
.tuesday...south winds 10 to 15 knots with gusts up to 20 knots.
seas 2 to 3 feet. wave detail: southeast 3 feet at 5 seconds. 
.tuesday night...south winds 15 to 20 knots. seas 3 to 5 feet,
occasionally to 6 feet. wave detail: south 5 feet at 6 seconds. 
.wednesday...south winds 10 to 15 knots with gusts up to
20 knots. seas 3 to 5 feet, occasionally to 6 feet. wave detail:
south 5 feet at 6 seconds. 
.wednesday night...south winds 15 to 20 knots with gusts up to
25 knots. seas 3 to 5 feet, occasionally to 6 feet. wave detail:
south 5 feet at 6 seconds. 
.thursday...south winds 15 to 20 knots, diminishing to around
10 knots in the afternoon. seas 3 to 5 feet, occasionally to
6 feet. 
.thursday night...south winds around 10 knots. seas 3 to 4 feet,
occasionally to 5 feet. 
.friday...southeast winds around 10 knots. seas 3 to 4 feet,
occasionally to 5 feet. 
.friday night...east winds around 10 knots. seas 3 to 4 feet,
occasionally to 5 feet. 

$$

fzus54 kcrp 161729
cwfcrp
expires:202602170615;;737217

coastal waters forecast for texas
national weather service corpus christi tx
1129 am cst mon feb 16 2026

middle texas coastal waters from baffin bay to matagorda ship
channel out to 60 nautical miles.
 
seas are provided as a range of the average height of the highest
1/3 of the waves...along with occasional height of the average
highest 10 percent of the waves. 
 


gmz270-275-170615-
waters from baffin bay to port aransas from 20 to 60 nm-
waters from port aransas to matagorda ship channel from 20 to
60 nm-
1129 am cst mon feb 16 2026

.rest of today...east winds around 5 knots, becoming southeast
late. seas 2 to 3 feet. wave detail: southeast 2 feet at
7 seconds and northeast 1 foot at 4 seconds. 
.tonight...southeast winds 10 to 15 knots. seas 2 to 3 feet. wave
detail: southeast 3 feet at 4 seconds and southeast 3 feet at
7 seconds. 
.tuesday...south winds around 15 knots with gusts up to 20 knots.
seas 3 to 4 feet, occasionally to 5 feet. wave detail: south
4 feet at 5 seconds. 
.tuesday night...south winds 15 to 20 knots with gusts up to
25 knots. seas 3 to 5 feet, occasionally to 6 feet. wave detail:
south 5 feet at 6 seconds. 
.wednesday...south winds 15 to 20 knots, diminishing to 10 to
15 knots in the afternoon. seas 4 to 5 feet, occasionally to
6 feet. wave detail: south 5 feet at 6 seconds. 
.wednesday night...south winds 15 to 20 knots with gusts up to
30 knots. seas 4 to 6 feet, occasionally to 8 feet. wave detail:
south 6 feet at 6 seconds. 
.thursday...south winds 15 to 20 knots, diminishing to 10 to
15 knots in the afternoon. seas 4 to 6 feet, occasionally to
8 feet. 
.thursday night...south winds 10 to 15 knots. seas around 4 feet,
occasionally to 5 feet. 
.friday...southeast winds 10 to 15 knots. seas around 4 feet,
occasionally to 5 feet. 
.friday night...southeast winds 10 to 15 knots. seas 4 to 6 feet,
occasionally to 8 feet. 

$$

fzus54 khgx 161823
cwfhgx
expires:202602170730;;739985

coastal waters forecast for texas
national weather service houston/galveston tx
1223 pm cst mon feb 16 2026

upper texas coastal waters from high island to the matagorda ship
channel out 60 nautical miles including galveston and matagorda
bays.

seas are provided as a range of the average height of the highest
1/3 of the waves...along with the occasional height of the
average highest 10 percent of the waves.


gmz330-170730-
matagorda bay-
1223 pm cst mon feb 16 2026

.this afternoon...southeast winds 10 knots. bay waters smooth to
slightly choppy.
.tonight...southeast winds 5 to 10 knots. bay waters smooth. 
.tuesday...south winds 10 to 15 knots. bay waters slightly
choppy. 
.tuesday night...south winds 10 to 15 knots. bay waters slightly
choppy. 
.wednesday...south winds 10 to 15 knots. bay waters slightly
choppy. 
.wednesday night...south winds 10 to 15 knots with gusts up to
20 knots. bay waters slightly choppy. 
.thursday...south winds 10 to 15 knots. bay waters slightly
choppy. 
.thursday night...southeast winds around 10 knots. bay waters
smooth to slightly choppy. 
.friday...southeast winds 10 to 15 knots. bay waters slightly
choppy. 
.friday night...southeast winds around 10 knots. bay waters
smooth to slightly choppy. 

$$

fzus54 khgx 161823
cwfhgx
expires:202602170730;;739984

coastal waters forecast for texas
national weather service houston/galveston tx
1223 pm cst mon feb 16 2026

upper texas coastal waters from high island to the matagorda ship
channel out 60 nautical miles including galveston and matagorda
bays.

seas are provided as a range of the average height of the highest
1/3 of the waves...along with the occasional height of the
average highest 10 percent of the waves.


gmz335-170730-
galveston bay-
1223 pm cst mon feb 16 2026

.this afternoon...southeast winds increasing to around 10 knots. 
bay waters smooth to slightly choppy. 
.tonight...southeast winds 5 to 10 knots. bay waters smooth. 
.tuesday...southeast winds around 10 knots, increasing to 10 to
15 knots with gusts up to 20 knots in the afternoon. bay waters
smooth, increasing to slightly choppy in the afternoon. 
.tuesday night...south winds 10 to 15 knots with gusts up to
20 knots, diminishing to around 10 knots after midnight. bay
waters slightly choppy, diminishing to smooth after midnight. 
.wednesday...south winds around 10 knots, increasing to 10 to
15 knots in the afternoon. bay waters smooth, increasing to
slightly choppy in the afternoon. 
.wednesday night...south winds 10 to 15 knots. bay waters
slightly choppy. 
.thursday...south winds 10 to 15 knots. bay waters slightly
choppy. 
.thursday night...south winds 5 to 10 knots. bay waters smooth. 
.friday...southeast winds 5 to 10 knots. bay waters smooth. 
.friday night...southeast winds 5 to 10 knots. bay waters smooth.

$$

fzus54 khgx 161823
cwfhgx
expires:202602170730;;739986

coastal waters forecast for texas
national weather service houston/galveston tx
1223 pm cst mon feb 16 2026

upper texas coastal waters from high island to the matagorda ship
channel out 60 nautical miles including galveston and matagorda
bays.

seas are provided as a range of the average height of the highest
1/3 of the waves...along with the occasional height of the
average highest 10 percent of the waves.


gmz350-355-170730-
coastal waters from freeport to matagorda ship channel tx out
20 nm-coastal waters from high island to freeport tx out 20 nm-
1223 pm cst mon feb 16 2026

.this afternoon...east winds 5 to 10 knots. seas around 2 feet.
wave detail: southeast 2 feet at 7 seconds and northeast 1 foot
at 2 seconds. 
.tonight...southeast winds around 10 knots. seas 2 to 3 feet.
wave detail: southeast 2 feet at 7 seconds and east 1 foot at
2 seconds. 
.tuesday...south winds 10 to 15 knots. seas 2 to 3 feet. wave
detail: southeast 3 feet at 7 seconds. 
.tuesday night...south winds 10 to 15 knots. seas 2 to 4 feet.
wave detail: south 3 feet at 6 seconds. 
.wednesday...south winds 10 to 15 knots. seas 3 to 4 feet. wave
detail: south 3 feet at 6 seconds. 
.wednesday night...south winds 10 to 15 knots. seas 3 to 5 feet.
wave detail: south 4 feet at 6 seconds. 
.thursday...south winds 10 to 15 knots. seas 3 to 5 feet. 
.thursday night...south winds around 10 knots. seas 3 to 5 feet. 
.friday...southeast winds around 10 knots. seas 3 to 5 feet. 
.friday night...southeast winds around 10 knots. seas 3 to
5 feet. 

$$

fzus54 khgx 161823
cwfhgx
expires:202602170730;;739987

coastal waters forecast for texas
national weather service houston/galveston tx
1223 pm cst mon feb 16 2026

upper texas coastal waters from high island to the matagorda ship
channel out 60 nautical miles including galveston and matagorda
bays.

seas are provided as a range of the average height of the highest
1/3 of the waves...along with the occasional height of the
average highest 10 percent of the waves.


gmz370-375-170730-
waters from freeport to matagorda ship channel tx from 20 to
60 nm-waters from high island to freeport tx from 20 to 60 nm-
1223 pm cst mon feb 16 2026

.this afternoon...east winds around 5 knots. seas 2 to 3 feet.
wave detail: southeast 3 feet at 7 seconds and northeast 1 foot
at 3 seconds. 
.tonight...southeast winds around 10 knots. seas 2 to 3 feet.
wave detail: southeast 3 feet at 7 seconds and east 1 foot at
3 seconds. 
.tuesday...south winds 10 to 15 knots. seas 2 to 3 feet. wave
detail: southeast 3 feet at 7 seconds. 
.tuesday night...south winds 10 to 15 knots with gusts up to
20 knots. seas 3 to 5 feet. wave detail: south 4 feet at
6 seconds. 
.wednesday...south winds 10 to 15 knots. seas 3 to 5 feet. wave
detail: south 4 feet at 6 seconds. 
.wednesday night...south winds 15 knots with gusts up to 20 
knots. seas 3 to 5 feet. wave detail: south 4 feet at 6 seconds. 
.thursday...south winds 10 to 15 knots. seas 4 to 6 feet,
occasionally to 8 feet. 
.thursday night...south winds around 10 knots. seas 4 to 5 feet. 
.friday...southeast winds around 10 knots. seas 4 to 5 feet. 
.friday night...southeast winds 10 to 15 knots. seas 4 to 5 feet.

$$

fzus54 klch 161816
cwflch
expires:202602170700;;739883

coastal waters forecast
national weather service lake charles la
1215 pm cst mon feb 16 2026

coastal waters from the lower atchafalaya river la to high 
island tx out 60 nautical miles including sabine and 
calcasieu lakes and vermilion and cote blanche bays

seas are provided as a range of the average height of the
highest one third of the waves, along with the occasional 
height of the average highest ten percent of the waves.


gmz430-170700-
sabine lake-
1215 pm cst mon feb 16 2026

.tonight...south winds 5 to 10 knots. lake waters light chop.
areas of dense fog after midnight. 
.tuesday...southeast winds 5 to 10 knots, becoming south 10 to
15 knots with gusts up to 20 knots in the afternoon. lake waters
choppy. 
.tuesday night...south winds 10 to 15 knots. lake waters choppy. 
.wednesday...south winds 5 to 10 knots, increasing to 10 to
15 knots with gusts up to 20 knots in the afternoon. lake waters
choppy. 
.wednesday night...south winds 10 to 15 knots. lake waters
choppy. 
.thursday...south winds 10 to 15 knots with gusts up to 20 knots.
lake waters choppy. a slight chance of showers in the afternoon. 
.thursday night...south winds 10 to 15 knots, diminishing to 5 to
10 knots after midnight. lake waters choppy. 
.friday...southeast winds 10 to 15 knots. lake waters choppy. a
slight chance of showers. 
.friday night...south winds around 10 knots. lake waters light
chop. 
.saturday...southwest winds around 10 knots, becoming north in
the afternoon. lake waters choppy. a slight chance of showers in
the morning, then a chance of showers in the afternoon. 
.saturday night...north winds 10 to 15 knots, increasing to 15 to
20 knots after midnight. lake waters rough. a slight chance of
showers. 

$$

fzus54 klch 161816
cwflch
expires:202602170700;;739887

coastal waters forecast
national weather service lake charles la
1215 pm cst mon feb 16 2026

coastal waters from the lower atchafalaya river la to high 
island tx out 60 nautical miles including sabine and 
calcasieu lakes and vermilion and cote blanche bays

seas are provided as a range of the average height of the
highest one third of the waves, along with the occasional 
height of the average highest ten percent of the waves.


gmz450-170700-
coastal waters from cameron la to high island tx out 20 nm-
1215 pm cst mon feb 16 2026

.tonight...south winds 5 to 10 knots. seas around 2 feet. wave
detail: southeast 1 foot at 3 seconds and south 1 foot at
7 seconds. patchy dense fog late. 
.tuesday...southeast winds 5 to 10 knots, increasing to 10 to
15 knots in the afternoon. seas around 2 feet. wave detail:
southeast 2 feet at 3 seconds and southeast 1 foot at 6 seconds. 
.tuesday night...south winds 10 to 15 knots. seas 2 to 3 feet.
wave detail: southeast 3 feet at 4 seconds. 
.wednesday...south winds 5 to 10 knots. seas around 2 feet. wave
detail: south 2 feet at 5 seconds. 
.wednesday night...south winds 10 to 15 knots. seas 2 to 3 feet.
wave detail: south 2 feet at 5 seconds. 
.thursday...south winds 10 to 15 knots. seas 2 to 3 feet. wave
detail: south 3 feet at 6 seconds. a slight chance of showers in
the morning, then a chance of showers in the afternoon. 
.thursday night...south winds around 10 knots. seas 2 to 3 feet.
a slight chance of showers. 
.friday...southeast winds around 10 knots. seas 2 to 3 feet. a
chance of showers. 
.friday night...southeast winds 10 to 15 knots. seas 2 to 3 feet.
a slight chance of showers. 
.saturday...south winds 10 to 15 knots, becoming north in the
afternoon. seas 2 to 3 feet. a slight chance of showers in the
morning, then a chance of showers in the afternoon. 
.saturday night...north winds 10 to 15 knots, increasing to 15 to
20 knots after midnight. seas 2 to 4 feet. a chance of showers. 

$$

fzus54 klch 161816
cwflch
expires:202602170700;;739890

coastal waters forecast
national weather service lake charles la
1215 pm cst mon feb 16 2026

coastal waters from the lower atchafalaya river la to high 
island tx out 60 nautical miles including sabine and 
calcasieu lakes and vermilion and cote blanche bays

seas are provided as a range of the average height of the
highest one third of the waves, along with the occasional 
height of the average highest ten percent of the waves.


gmz470-170700-
coastal waters from cameron la to high island tx from 20 to 60 nm-
1215 pm cst mon feb 16 2026

.tonight...southeast winds 5 to 10 knots. seas around 2 feet.
wave detail: southeast 2 feet at 7 seconds and east 1 foot at
3 seconds. 
.tuesday...southeast winds 5 to 10 knots. seas around 2 feet.
wave detail: southeast 2 feet at 6 seconds. 
.tuesday night...south winds 10 to 15 knots with gusts up to
20 knots. seas 2 to 3 feet. wave detail: south 3 feet at
5 seconds. 
.wednesday...south winds around 10 knots. seas 2 to 3 feet. wave
detail: south 3 feet at 5 seconds. 
.wednesday night...south winds 10 to 15 knots. seas 2 to 4 feet.
wave detail: south 4 feet at 6 seconds. 
.thursday...south winds 10 to 15 knots. seas 3 to 4 feet. wave
detail: south 4 feet at 6 seconds. a slight chance of showers. 
.thursday night...south winds around 10 knots. seas 3 to 4 feet.
a slight chance of showers. 
.friday...southeast winds around 10 knots. seas 3 to 4 feet. a
chance of showers, mainly in the morning. 
.friday night...southeast winds 10 to 15 knots. seas 3 to 4 feet.
a slight chance of showers. 
.saturday...southeast winds 10 to 15 knots, becoming north in the
afternoon. seas 3 to 4 feet. a slight chance of showers in the
morning, then a chance of showers in the afternoon. 
.saturday night...north winds 10 to 15 knots, increasing to 15 to
20 knots after midnight. seas 3 to 4 feet, building to 4 to
6 feet, occasionally to 8 feet after midnight. a chance of
showers. 

$$