Point Forecast Matrices
Issued by NWS Green Bay, WI
Issued by NWS Green Bay, WI
350 FOUS53 KGRB 020923 PFMGRB FOUS53 KGRB 020923 PFMGRB Point Forecast Matrices National Weather Service Green Bay WI 323 AM CST Tue Dec 2 2025 WIZ010-022200- Rhinelander-Oneida WI 45.63N 89.47W Elev. 1628 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 22 15 22 -5 12 Temp 12 12 19 21 18 16 17 19 18 20 20 15 8 5 3 0 -4 2 9 12 7 Dewpt 7 10 13 14 13 14 15 16 15 15 9 4 -1 -3 -4 -6 -6 -5 -4 -4 -3 RH 80 91 77 74 80 92 92 88 88 81 62 61 66 69 72 75 91 72 54 48 63 Wind dir SW SW SW SW SW SW SW SW W NW NW NW NW NW NW W W W SW SW S Wind spd 3 5 9 10 8 8 6 6 6 10 13 12 9 9 8 8 6 6 8 9 8 Wind gust 17 20 23 21 20 19 19 Clouds B2 B2 B2 B2 B2 OV OV OV OV B2 B2 B1 B1 SC SC SC FW FW SC B1 B2 PoP 12hr 10 50 20 5 0 QPF 12hr 0 0.04 0 0 0 Snow 12hr 00-00 1 00-00 Flurries C C C C C Snow S C C S S S Wind chill 6 3 8 10 8 5 8 10 9 9 7 1 -5 -9-11-14-18-11 -3 0 -6 Min chill 4 3 8 5 9 6 -5 -11 -18 -14 -6 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 1 22 7 19 -2 17 -1 19 Temp 5 8 18 18 16 10 17 11 5 -1 13 10 5 3 17 16 Dewpt 1 5 11 13 14 9 8 4 2 -1 3 1 0 0 8 10 PWind dir SW SW W NW NW NW W SW Wind char GN LT LT LT LT LT LT LT Avg clouds B2 B2 OV B2 OV B2 B2 B1 B1 B1 B1 B1 B1 B1 B2 B2 PoP 12hr 20 30 40 20 20 10 10 20 Snow S S C C S S S $$ WIZ030-022200- Wausau-Marathon WI 44.93N 89.63W Elev. 1193 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 22 18 23 -4 9 Temp 14 13 18 21 19 19 20 21 21 21 21 18 12 6 3 0 -3 -1 7 9 8 Dewpt 9 10 14 15 15 16 17 18 19 15 12 6 1 -1 -3 -5 -6 -6 -3 -2 0 RH 80 87 84 77 84 88 88 88 92 77 68 59 60 72 75 79 86 79 63 60 69 Wind dir SW SW SW SW SW SW SW SW W NW NW NW NW NW NW NW W W SW SW S Wind spd 2 5 10 10 9 9 9 9 10 11 13 13 10 9 10 8 5 5 6 9 8 Wind gust 19 Clouds B2 B2 B2 B2 B2 OV OV OV B2 B1 B2 SC SC FW FW FW FW FW FW SC B2 PoP 12hr 0 30 20 0 0 QPF 12hr 0 0.03 0 0 0 Snow 12hr 00-00 T 00-00 Flurries C Snow C C S Wind chill 4 6 10 8 8 9 11 10 9 8 4 -1 -8-12-14-15-13 -5 -4 -4 Min chill 8 4 7 8 9 8 -1 -12 -17 -15 -5 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 2 22 9 20 0 17 2 20 Temp 6 10 18 19 18 11 18 13 7 1 13 11 7 4 17 18 Dewpt 1 6 12 15 15 10 10 6 4 1 4 3 2 2 8 10 PWind dir SW SW W NW N NW W S Wind char GN GN LT LT LT LT LT LT Avg clouds B2 B2 B2 B2 B2 B2 B1 B1 B1 B1 SC B1 B1 B1 B1 B2 PoP 12hr 20 40 30 20 30 10 10 20 Snow S S C C S C S $$ WIZ035-022200- Wisconsin Rapids-Wood WI 44.36N 89.84W Elev. 993 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 24 18 24 -5 12 Temp 13 14 21 24 20 19 20 22 23 22 22 19 13 6 2 -2 -5 -1 8 11 8 Dewpt 9 11 15 16 16 16 18 19 20 17 13 9 3 -1 -4 -6 -8 -5 -2 -1 0 RH 84 88 77 71 84 88 92 88 88 81 68 64 63 72 75 82 86 83 63 57 69 Wind dir SW SW SW SW SW SW SW SW W NW NW NW NW NW NW NW W W SW SW S Wind spd 3 5 9 10 8 9 8 9 9 11 13 13 9 9 8 6 4 4 5 8 6 Wind gust 19 Clouds B2 B2 B2 B2 B2 OV OV OV OV B1 B2 B1 SC FW FW FW FW FW FW SC B1 PoP 12hr 0 30 20 0 0 QPF 12hr 0 0.02 0 0 0 Snow 12hr 00-00 T 00-00 Snow C C S S Wind chill 7 5 11 14 10 8 10 12 13 10 9 6 1 -8-12-15-16-11 -2 -1 -3 Min chill 6 5 10 8 11 9 1 -12 -17 -15 -3 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 2 23 10 21 1 17 2 21 Temp 6 10 19 20 19 14 19 15 7 1 14 11 7 4 18 19 Dewpt 1 5 12 15 17 12 12 9 4 0 5 4 4 2 10 12 PWind dir SW SW W NW N N W S Wind char GN LT LT LT LT LT LT LT Avg clouds B1 B2 B2 B2 OV B2 B1 B1 B2 B1 B1 B1 B1 B1 B1 B2 PoP 12hr 20 30 40 20 30 20 10 20 Snow S S C C S S C S S S $$ WIZ013-022200- Wausaukee-Marinette WI 45.37N 87.98W Elev. 745 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 24 15 28 -1 15 Temp 9 15 23 24 18 16 18 20 20 25 26 22 14 9 6 3 0 6 13 15 10 Dewpt 5 11 15 17 16 16 16 16 17 19 15 9 4 1 -2 -5 -5 0 1 1 1 RH 83 84 71 74 92100 92 84 88 78 62 57 64 69 69 68 79 76 58 53 66 Wind dir W SW SW SW SW SW SW SW SW W NW NW NW NW NW NW W W SW SW SW Wind spd 2 3 8 8 5 5 5 5 5 8 10 10 6 5 5 5 4 5 6 9 5 Wind gust 18 16 21 21 19 17 16 Clouds SC SC B1 B1 B2 OV OV OV B2 SC B2 B1 SC SC SC SC FW FW SC SC B2 PoP 12hr 0 40 20 0 0 QPF 12hr 0 0.04 0.01 0 0 Snow 12hr 00-00 1 T Snow C C S S Wind chill 9 14 15 10 7 10 12 12 16 16 11 4 -1 -4 -8-10 -4 3 3 0 Min chill 4 9 10 7 11 12 4 -4 -12 -10 0 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 2 24 10 24 2 20 1 21 Temp 7 8 20 19 16 12 22 15 8 3 18 12 6 4 19 18 Dewpt 1 4 12 14 14 11 12 9 4 1 6 5 3 1 10 12 PWind dir SW SW W NW NW NW W SW Wind char LT LT LT LT LT LT LT LT Avg clouds B2 B2 B2 B2 B2 B1 B1 B1 B1 B1 SC B1 B1 B1 B1 B2 PoP 12hr 20 30 40 10 20 10 10 10 Snow S S C C S S S $$ WIZ031-022200- Shawano-Shawano WI 44.79N 88.56W Elev. 827 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 25 19 29 -3 14 Temp 12 15 22 23 20 20 21 23 23 27 27 23 14 9 4 0 -3 4 10 14 9 Dewpt 9 11 14 16 15 16 17 19 21 20 16 10 5 1 -1 -2 -4 -2 -1 -1 0 RH 87 84 71 74 81 84 84 84 92 74 63 57 67 69 79 91 95 75 60 50 66 Wind dir W SW SW SW SW SW SW SW W W NW NW NW NW W W W W SW SW SW Wind spd 2 4 6 8 5 6 6 6 6 8 10 10 6 8 8 5 4 6 5 8 4 Wind gust 17 17 18 14 Clouds B1 B1 B1 B2 B2 OV OV OV OV SC B2 B1 SC FW FW FW CL FW FW SC B1 PoP 12hr 0 30 30 0 0 QPF 12hr 0 0.04 0.01 0 0 Snow 12hr 00-00 T T Flurries C Snow C C C C Wind chill 8 14 14 12 11 12 15 15 19 17 12 4 -3 -9-12-13 -8 0 3 1 Min chill 7 7 12 11 14 16 4 -9 -15 -13 1 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 5 24 12 24 4 21 4 22 Temp 8 10 20 20 19 14 23 16 10 4 18 15 10 5 19 19 Dewpt 1 6 10 14 15 13 12 8 6 3 5 4 5 3 8 10 PWind dir SW SW W NW NW NW W SW Wind char GN LT LT LT LT LT LT LT Avg clouds B2 B2 B2 B2 B2 B1 SC B1 B1 B1 SC B1 B1 B1 B1 B2 PoP 12hr 10 40 40 10 30 10 10 10 Snow S C C S C S $$ WIZ039-022200- Green Bay-Brown WI 44.49N 88.13W Elev. 621 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 23 16 27 -2 12 Temp 11 15 21 23 19 18 20 22 24 26 26 24 16 9 5 1 -1 3 8 11 8 Dewpt 8 11 15 17 16 16 17 19 21 22 19 16 8 2 -1 -3 -5 -2 1 2 1 RH 87 84 77 77 88 92 88 88 88 85 74 71 70 72 76 83 83 79 72 66 72 Wind dir W SW SW SW SW SW SW SW SW W NW NW NW NW W W W W W SW SW Wind spd 3 5 10 10 9 10 10 10 10 10 12 12 9 9 9 9 8 8 8 9 8 Clouds B1 B1 B1 B1 B2 OV OV OV OV B2 B2 B1 SC FW FW FW CL FW FW SC B2 PoP 12hr 0 40 40 0 0 QPF 12hr 0 0.01 0.01 0 0 Snow 12hr 00-00 T T Snow S C C C S Wind chill 5 6 10 12 8 6 9 11 14 16 15 12 4 -4 -9-14-15-11 -4 -2 -4 Min chill 4 5 8 6 9 12 4 -9 -15 -14 -4 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 2 21 10 23 2 19 2 21 Temp 6 9 17 19 16 14 21 16 9 3 16 13 8 5 18 19 Dewpt 1 4 12 15 14 12 15 11 6 3 9 5 5 3 11 13 PWind dir SW SW W NW NW NW W SW Wind char GN GN LT LT LT LT LT LT Avg clouds B2 B2 B2 B2 B2 B1 B1 B1 B1 B1 SC B1 B1 B1 B1 B2 PoP 12hr 10 40 40 10 30 20 20 10 Snow S C C S C S S S $$ WIZ038-022200- Appleton-Outagamie WI 44.26N 88.52W Elev. 893 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 23 19 27 -2 11 Temp 14 16 21 22 20 19 21 23 25 25 25 22 16 9 5 1 -2 1 8 11 7 Dewpt 9 13 18 19 17 17 19 21 23 24 21 16 8 4 0 -3 -5 -1 2 4 2 RH 80 88 88 88 88 92 92 92 92 96 84 77 70 80 79 83 87 91 76 73 79 Wind dir W SW SW SW SW SW SW SW SW W NW NW NW NW NW W W W W SW SW Wind spd 3 5 9 10 9 10 11 11 11 11 12 13 10 10 10 9 6 9 6 9 8 Clouds B1 B1 B1 B2 B2 OV OV OV OV B2 B2 B1 SC FW FW FW CL FW FW SC B1 PoP 12hr 0 40 40 0 0 QPF 12hr 0 0 0 0 0 Snow 12hr 00-00 00-00 00-00 Flurries C Snow S C C C Wind chill 8 7 11 11 9 7 9 12 14 14 14 9 4 -5-10-14-15-14 -3 -2 -6 Min chill 5 7 9 7 10 13 4 -10 -17 -15 -6 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 3 22 12 23 4 18 4 21 Temp 6 10 18 20 18 14 21 16 9 4 15 12 9 5 18 18 Dewpt 2 6 13 17 17 14 17 12 6 2 9 7 6 4 13 15 PWind dir SW SW W NW N NW W SW Wind char GN GN LT LT LT LT LT LT Avg clouds B2 B2 B2 B2 B2 B2 B1 B1 B1 B1 SC B1 B1 B1 B1 B2 PoP 12hr 10 30 40 20 30 20 10 20 Snow C C S S C S S S S $$ WIZ048-022200- Oshkosh-Winnebago WI 43.98N 88.56W Elev. 759 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 24 18 29 -2 12 Temp 14 16 22 24 20 19 21 24 25 28 26 24 17 11 5 2 -1 2 8 11 7 Dewpt 10 13 18 19 17 18 19 21 23 25 21 17 11 6 2 -1 -3 0 3 4 2 RH 84 88 84 81 88 96 92 88 92 88 81 74 77 80 87 87 91 91 79 73 79 Wind dir W SW SW SW SW SW SW SW SW W NW NW NW NW NW NW W W W SW SW Wind spd 3 5 10 10 10 11 11 12 11 11 12 13 11 10 9 10 8 8 8 8 8 Wind gust 21 23 21 21 19 Clouds B2 B1 B1 B1 B2 OV OV OV OV OV B2 B1 SC FW FW FW FW FW FW FW B1 PoP 12hr 0 40 40 0 0 QPF 12hr 0 0 0.01 0 0 Snow 12hr 00-00 00-00 T Flurries C C Snow S C C C Wind chill 8 7 11 14 9 7 9 12 14 18 15 12 4 -3 -9-14-15-12 -4 -1 -6 Min chill 5 7 9 7 10 14 4 -9 -16 -15 -6 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 2 24 13 24 5 19 5 23 Temp 6 10 17 23 19 16 21 17 11 5 15 14 10 6 19 21 Dewpt 2 6 12 17 17 15 17 13 9 3 10 9 8 4 13 16 PWind dir SW SW W NW N N W SW Wind char GN GN LT LT LT LT LT LT Avg clouds B1 B1 B2 B2 B2 B2 B1 B1 B2 B1 B1 B1 B1 B1 B1 B2 PoP 12hr 5 30 40 20 30 20 20 20 Snow C C S S C C S S S S $$ WIZ022-022200- Sturgeon Bay-Door WI 44.84N 87.42W Elev. 593 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 25 18 29 6 17 Temp 17 19 22 22 20 20 22 24 26 28 28 26 20 14 12 9 7 11 15 16 12 Dewpt 14 15 17 18 16 17 19 20 22 22 18 14 10 6 5 3 3 4 4 5 5 RH 88 84 81 84 84 88 88 84 85 78 66 60 64 70 73 76 83 73 61 61 73 Wind dir W SW SW SW SW SW SW SW SW W NW NW NW NW NW NW NW W W SW SW Wind spd 5 8 11 12 12 12 12 13 12 13 13 14 13 12 12 12 11 10 10 11 10 Wind gust 23 23 Clouds B1 B1 B1 B1 B2 B2 OV OV OV B2 B2 B1 B1 SC SC SC SC FW SC SC B2 PoP 12hr 0 60 50 5 0 QPF 12hr 0 0.06 0.04 0 0 Snow 12hr 00-00 1 1 Flurries C Snow C L C C S Wind chill 9 9 10 10 7 7 10 12 15 17 17 14 7 0 -3 -7 -8 -3 2 3 -1 Min chill 8 9 7 7 11 13 7 -3 -8 -7 -1 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 7 25 15 26 10 22 10 24 Temp 11 13 20 24 21 17 24 21 15 11 20 18 16 12 21 21 Dewpt 7 9 13 17 18 16 14 12 11 10 10 9 10 10 12 14 PWind dir SW SW W NW N NW NW SW Wind char GN GN GN GN LT GN LT GN Avg clouds B2 B2 OV OV B2 B2 B1 B1 B1 B1 B1 B1 B1 B1 B2 B2 PoP 12hr 20 40 50 20 30 20 20 20 Snow S C C C C S C C S S S S S $$ WIZ050-022200- Manitowoc-Manitowoc WI 44.13N 87.69W Elev. 634 ft 323 AM CST Tue Dec 2 2025 Date Tue 12/02/25 Wed 12/03/25 Thu 12/04/25 CST 3hrly 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 UTC 3hrly 09 12 15 18 21 00 03 06 09 12 15 18 21 00 03 06 09 12 15 18 21 00 Max/Min 25 16 29 1 15 Temp 15 18 23 23 20 18 21 23 25 28 28 26 19 12 7 4 1 6 13 14 9 Dewpt 12 14 18 19 17 17 19 20 22 25 21 18 12 7 4 1 -1 3 4 5 4 RH 88 84 81 84 88 96 92 88 88 88 75 71 74 80 87 87 91 87 67 67 80 Wind dir W W W SW SW SW SW SW SW W NW NW NW NW NW NW NW NW W SW SW Wind spd 5 6 10 11 10 10 10 11 11 12 13 14 12 11 11 10 10 10 9 9 8 Wind gust 21 Clouds B1 B1 B1 B1 B2 OV OV OV OV OV B2 B1 SC SC FW FW FW FW FW SC B1 PoP 12hr 0 50 50 5 0 QPF 12hr 0 0.01 0.01 0 0 Snow 12hr 00-00 T T Snow S C C C S S Wind chill 6 9 12 12 9 6 10 12 14 17 17 14 6 -2 -8-11-15 -9 1 2 -3 Min chill 5 6 9 6 10 12 6 -8 -15 -14 -3 Date Fri 12/05/25 Sat 12/06/25 Sun 12/07/25 Mon 12/08/25 CST 6hrly 00 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 UTC 6hrly 06 12 18 00 06 12 18 00 06 12 18 00 06 12 18 00 Min/Max 4 24 12 26 7 22 7 25 Temp 8 11 21 20 19 15 24 18 13 8 20 16 13 9 23 22 Dewpt 4 7 13 17 17 15 17 14 11 8 11 10 10 7 14 16 PWind dir SW SW W NW NW NW NW W Wind char GN GN GN GN LT GN LT GN Avg clouds B1 B2 B2 B2 B2 B2 B1 B1 B2 B1 B1 B1 B1 B1 B1 B2 PoP 12hr 10 40 40 20 30 20 20 20 Snow S C C S S C C S S S S S $$