How many lights are on?

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DECLARE @ varchar(max)= 'v>v<^^<v<<^<^><<>^^>>><v>vv^v>v^><><<^>><<<vvv^vvv>v>>v><vv^^<<>vv^^>v^<>>^^<^^>^^v<^>^<vvv^v^v><^<<v<<>><<>v>>^><^>^^<>>>>vv>^<<^<<><vvv<v^>>vvv>v^>>><<v^>^^^^v>>^>^v>v<vv^<>^<<v>vv>><^^<^><vv^^v<v<v^^^>v<^vv^v<><vv^^^>v^>v>vv<<^><v<^v><<v^^v>>v<vv<><^^^v<^v><><<^^<>^>><^^^>vv^<>>>>^<^<<<<>>>v<<v<v<vv><<vv<vv<^v^^^>>vv<>v>><<<v^>vv><v<<<v<<>^vvv^<v^v>^^v^v><<v^>>>v<v<v^>>>v><>>>^<><<<<>vv>v><v>v><^v<>v>>>vv<<>^>^>v<^><^<^vv^><^^>v<^^v>v^v<^^^^vv<>v<>><v^^><>v<<<>v^<v^^><>^<>^<>><>^^<>^v><>>><v<^^>>v>^^^<v'

;WITH C as
(
  SELECT 0 a,b=1
  UNION ALL
  SELECT a+POWER(CHARINDEX(SUBSTRING(@,b,1),'> <v')-2,15),b+1
  FROM C
  WHERE b<=LEN(@)
)
SELECT sum(z) FROM 
  (SELECT sum(1)%2z
   FROM c
   WHERE b>1
   GROUP BY a)z
OPTION(MAXRECURSION 0)

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