您在笛卡尔平面上几乎没有斑点。考虑到自己的存在，您决定在飞机上漫游并触摸物体。您会注意到，您访问的每个坐标对都有一个电灯开关。为了娱乐自己，您决定切换遇到的每个开关。

挑战：创建一个程序，将采取随机长度的输入时，仅使用字符v，^，<，和>。这些字符对应于动作。

• < 向左移动一个单位
• ^ 使您向上移动一个单位
• > 将您向右移动一个单位
• v 下移一个单位

使用此随机生成的输入，ON假设从（0,0）开始，所有灯都在该OFF状态下开始，并且在您进行第一个举动之前就不要打开任何灯，计算该位置上还剩下多少个开关。（意思是，如果您从（0,0）开始，并向上移动1个单位到（0,1），则现在将点亮1个灯。）如果您碰到ON位置上的开关，它将被打开OFF。

测试用例：

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

产生125盏灯。

>>><^>>>^vv><^^v^<<<>>^<>>^<^>^<<^^v^<v^>>^<<><<>^v<^^^vv>v><^>>^<^<v><^v<^<<^^v><>>^v<^>^v<vvv<<<v^vv>>^vv>^^<>>vv>^<^>vv<>v^<^v<^^<v^^^<<^><><>^v>vvv<^vvv<vv><vv<^^v^^<^^>>><<<>^<>>><^<<<>><>^v><^^vv<>>><^^^<^>>>>v<v^><<>v<v<v^<<^><v^^><>v>^<>^^^vvv<v^>^^^^v>v<v>>>v^^<v<vv>><<>^vv><<vv<<>^^v>>v<^^v>><v<v<<>^^vv>>^v>v>v<>^>^v<>>><>v>v<<v<^<>>>vv>>v>^<>vv^v><><^v^>v<^^>v<^v>>v^>^>>v>v>^>^<^^>vv>>^vv<^><>^><<v^<><<^<^>^^vv^<<^^<^^v<v<>^>v>>>>>>vv<<v>^>vv^>^><^<^^><<vvvv>vvv<><<><v^vv><v^^<>^>><^vv<><>^>vv>>>vv^vv<<^v^^<<v^^>^>vvv<><<v>^>^>v<v>^<^^^^<^>^>><>>^^vv<>v<^>v><v<v^>>v<^v<vv>v^>v<v^<^^^^v<^<^<<v<<<v<v^^>vv^>><<<v>>^^^>^<^>>>v^v><^^vv^>><^^vv<vv<v^><>>^><<<>>^^v^v<<v^<vv^^^>><>>^v^^^>>^>^<<^>v>^^v>><>v>^>vv^^<vvvv<><^v>^><<>>><^<^v^<<vvv^v<<<<<><><<><><<v>v<v>v><^v^^vvv>><>^>^>^v<<vv^^^v^vv><v><><v<v<<>>>v<^<^v<<>^v<<^v<><>v>>^^>^<v^<<^v^^^vv>><v^<v>^v><^<>>>>^^<vv<>^^>^>v^v^^>><>^^<^v^<v<<v<^<<^^vv>v>^<vv<<^^v^vv^>^^<>v>^>^<>vv><v>>><<><<vv^^<vv<>>^v>^<<vv>^><<>^<v>v><<v^<v<><v>^<^<^><^^^^>>>^<>^^><>>v^<vv^<^<<vvvv>>>v^v>>^>v^><<>>v<>>^>><vvvvv<<vvvv<v>^v<vv^<>><<><v^^<^<v>^v<^<<>^v<v^<>v<<>^<<vvv><^><^^^<>>v^<<>vv><^^^>><^>v^v>v<v^>>v>>v>vv<<v<<vvv^^^>^<v^^<^<v<^<>>v^<<v>>v^><v<vvvvv^^^<v^^<><v<<^>>^><^<v^v^^>><v><>v>^<vvvv><<v^^v^>^>v>><>^^v>v^>vv^>v<^<<^vv^>vv^<v>^<v^<>^v>v^>v^<<>^^<^>^^>vv^>>vv>v>vvv><>^v<<<<v^>v^^v<><v<v>^<^><^><<v<>><<>v^^>>><<><>>><<>><v^^>><^>><^<>v^^vvv>v<^<<vv^>vv^><<>v><>^<>v^^v>^>v^<>^><v>^><<^v<v^^<v>><^^>>^<^<^v<v>^>^<^<v><><>>>><>^<^<v>v<v^>v><>v^>v^<<><^<>>v<^vv^^^>^<<<<>^>^<><^vvv>^^<v^v>v>v^v>v>>vv>^><>^vv>^<v<v^<>vv^<v<><>^>>vvv><>>^<<v^<<>^<v^>v<^^^<^<^^<>^>>v>^<v>vv<v^^>><<<<<>>v>^v>^>>>>v>>^^>^<<<^<<<v>>^><<<<^vv<<>^v<^>v^<v<<>v<>^<^<^<^<>>^^^vvv<v>^vv>^><^<v^>^v<v>><><vvv<^^>>v<^v>^>>>><v^<v^^<^^v<vvv<v>^^<<>><^<v^v<^vv>v>vv>^^<>^^^^>>^v><vv<<<v>^v^>>v^>><<<^v^v<<>><<vvvvv<v^vv>vvvv><v^v<^^^><vv^^<>><>><^>^^^^v>v><><v^<>^v<>^^<^^>^^^vvv>>vv^v^<v<vv^v>v>>>^v^^vv^<^v>v^v>>^v>v<v^<^^><vvv>><<>><>><v>v<^<v>>>>v^^v^^>^><<v><^<<>>v<>^^<<>vv^>>vv^^^v>>>^v^><v<<^>v<v><>>>^>>^<<>>^><<vv<^^>^^^v^^<>>>vv><<>v<><<<>v<<>>>v<>v<>^<vv^v<^^<<<v>^v>>^^>^><<^vv<><><>v>^v>^<>v>>^^^<^^>>vv>v<<<v^><<v><^v><>v<^<<^<>^vv>^><^^^^^<<v^^<>v>><^<v^^^vv>^v<>^<v<v>v>^><^<<^<>><^^>vv^<>^<>vv<>>v<vv^>><^^<^>v<><>vv<v<>>v><v^^^>^^^<<vv^><^^v>v>^<^>v^><<vvv>v^><vv<><^<><^>^v<><<v^<<><>^^^^<<^>>^>^v^>v>^<<^>vv^vv^v<>^<<^>v<^^<<v<v<<<^>vv^>><>v>><><v>v><v^><vvv>vv<<vvv>v^<<^v<^<><<^v>v<>>vv<<v^>v>v<<>>^vv^<^^^<^v>>^<vv>^<v>><>v>^^<<v^<>>>>>v^v>><>v^>>^<>>^<^vvv^^^<^v<><vvv^>^>v><<v>>^v>v<v>v^<v>v>^<>vvv>vvv^^<>vv>^^^^^>v<<^v<>>>><<<>>><vv>>^v^^v<v^>>>^>^v<^v>^v<>vv<><vvv^v<<<<v<vv>vv^<^vvv<^v>v^^vv<^>>>^^>>^^><>^>>v<>>>^^<<v<^<<<<<^^<v^^^<<>><<<^>^v^>vv<>>>^^v><<>^^^^<vvv><^^<>>>^><<^>><v>^<>^v^<vvvv^>>^><<>><^<v^>>vv^vv<^>>>><^>^v<^<v<^^<^<^><^<>>^<>v^v<<>v>v<>><<v<^v<<<^v<v<>><v<^<^>>v>v>><v^<v><>>>>>v^v>><^<^<v>><v^v>v<>v<v><<<>^^><>^^<^vv^^<>v><><><^>^^v^vv^<><>>>>v><>>^>^<<^<v<v^>v^^<v>>><<^^vv^^>><<^<vvvvv>><^>^>>^vv<><<>v>v^<<<^v<^^<<^vv>v<vvv><^v>vv^vvvv<^>^v^<<<<^v<<<>^vvv>^v><<>>v<v<^v^<>v>>^^v^vv>>>^v^^>>^<><><<<<^vv>>>>>v>v^>v<>><<<>^vv>^^^^<^^^>^^^^>^^^v^v><^>^>>>v<v<^<^^<<^v<<^<>vvv^^^^v^<<>vv>^^>>><^^v<^<<<v<>v<<><>v<><>^<v<<^>^^>><<v>^^><^^v<^<v^<^^<>^<>^v^>>^^v^v^<>v<>^<<<>^v^v>^<vvvv<>v<<>vv^<<>vv>>>>^<v><>>>v^><<>^v>><<>>^^v><^<>>vv^^^>vv^<^^v><v>>vvv^v<^v>v<<^^<>v^^^v^^>><v^>>v^v^vv<^>v^<^>^>v<v^><vvv^>^<>v<<^><^^<vv>v>>vv>v^>>^vvv>>v^>^^>vvv>>v><<>>^^v>v<v<><<<<^^v<^<>^v>><v^^^<>>vvv>v><<v>^^<^vvvv^v>v>^vv>^vv^^v><<>>^^>>v>>>^v><^>v<^^<>vv>v>v^^^>>^^^><<<<>>^>>^<^v<^<^<>^><v<<v>v<>^>>^<<v^^<v^vvvvv>>v^>>^^^<^^<><<><><>^v>vvv^>^^>v<^^>^<<^v^^^><>><<v<^^^<<<<>><>><<^^v><v^<<^v<v><<>^<v>^>^v>vv>><v^<^<v<v<v><^^^^>>><^<><^v^v<<<^>vv^<v^>^^v^>>><<<<^<>>><v>>>vv^>^^<v^v>>>v^<^<>vv>^v^^><<<v>v>v>><>>>v<^>^<>>^^<v^<<^<v^>><^v^><><v><><v^vvv<<>v>>><<><v>v<>>><^<^^v<v>^<<>^v>^>^>^^<^^><^>>>>><^^>vv>^<^^<><^>^<^^><^<v>v^>><^>^^^>>v^v<^>>^<v^<>^><><v>>^v<v^^^^v<^vv><^v>>^^^<>^<^<^>vv^v<<>vv>^<>v>^>^>vv^v<vv<^^^v<v>v>v^<^^^v><v<<<^^<><^^>>>><<^^v<<^>v<<vv^^^vv^vv^<v><>^v<v>>><vv^v<v^>>>>^<<<vv^>>v>^><<><<^<^><<vv^>v^>><>v^<<<>v^><>><<>>v><>v^<v><>^v>>><><>>>^vvv^v>vv>>>^^v^><<v<>>^^^v^^><<^v<><><v<<v<v<><<<v^<^^^<>v^^v<^^<<^>v<<v><^<<<<>><>^v>^<>^<^^v^vvv>^^<>^>><v^^vv^<>^<><<^^^v<^^^>>^^v>^>^<^>v><<^<>^v<><vv^vv<><<<<<<v<<v<<vv^<<^<^vvvv><v^v^v<>>>vvvvv^<vv^<^<>vv>^<><<v><>v^^<v<>>>vvv^><^<^>v^^<v>^<>>>^^v^<vv<<<<^><v<<<>v<<<v<>>^^^>^><>v>^v^>^<v^^><^v^^<^v^^>^v>>^^^<<><><<<>v>><^><>>>vvvv>v>>v>^^^^v<><vv<^<v^v>>^^vv<^>vvv>^v>>><v<v<v^<^>^^<vvv<vv<v>>^vv>^<<^<^<v>v^<vv^^^v>vv<v><v><v>^<v>>vv<>v>^^>v^^^<>v<>v^v<>^<><v><^>^<v^v><<^v^v^v<<v><<^^<^vv>^<^v><>v>><v^v^>><><><<<v<>v<^vv>v<v<<>^vvvvv^<<<^<vv><<><>v^<^v<<<^>v>v<v^<<^>v<<^<v><<<^>vv>v>^<^^v>>>><>vv>>vv>vvv<>^^<>^v^<>vvv<^^^vv>v><<<<vv^v><v^<^<<<><v<>^><<>^>v<^^<<>v>>v<<>><^^<<<^<^vv^^>v>v<>^^>>^v^vvv>^v^>v>>v>v>v>>vv^<><<<<>v^^>vv<^^v>>v<vv<^>>^<>^^v<><vv^<><v><v<<v^v<^^<^v^v<>v<<><vvv><<<^<^^<<>>^v>>>^v>>>v<>>^><<<><><<<v<vv<^<>v^^v^^>^<<^^^v^>^<<^>^>^>>>>v<v<v<>vv<<vv^<<^<vv>^^<^<<>><^v><><>^<v><v^>^v>^<^>^^><v><<^<v^^<<^><><v>v<>>><<^><v<^vvv^<<<>><<>^v^^><vv>vv<>^>^>vv<>v^<^<>vv><<>^<v<vv<^<^<><^vv<<^>>>v<>><<>>>^^^^<<^v>>v<vv>^^>v<v<vv^><<><>>>v>>^^v<^v^^>>v^<>>v^>><^<^^v<v<><<><>>^<>><^v<^^^^><>^>vv>>^vv<<>v<<<<<<><<<><<>><v><^^^<>>v<^><^vvv<>^>^^v>^<v><^v^vv^<<>v<<<<v>^vv>>v>vv<<^>^<>>vvv^<v<><>><>^^^^vvvvvvv<<>v<^><^^>vv^^<v<<^^<vvv<v<v<<>><<><v^^>><^<>^v^vv<<v<v<>><<>>>>>^vv<><v<>v><v>v>><v<v^vvvvv<><>v>>v<><<<^^<>^<^^<v>v^<vv>^vv^<>^<<^<vv><v<v>>v>^<>v^<<v^<v>^v<>><v>>>>^<<^^^v<^<>><^<><v>>vv^>^<^<^>>v^>^^^^>vvvvv>^v<^><^^<^^>^<^^^^^^^>v>>vv>v^^^v^^^<>v><^>>>v>^>^>^>vv<vv<^^>>^>>>v<>v><<^<<v^>^>>>>^^><^^<v<<<<>>v>v^v^^<>><v<^<<<<v^^^^<v<<<^>v>^^<vv<^^^^^v>^v^<v><>>^^>^v>^>^vv^v>v>v^>v>^>>^^^^>>^>>^><>><v>v>>><<^v^v^>^>^>>vv><<^>v<v<v^<<>>^v<<^v<<^><^>>^<v>^>vv>v>^^^>v^^<^<^^>vv>^^><v>>^v>^v<<^^^<<^v^>^<<^>vv^>>^<^v><<>v><^^^<^^>>vv>^vv>><^<<<^>vv^v>v<^<<<^<^<<><^^>>>v^<^^^>^<><^v>>^<<v<^v>>v^<^<^<^^^<v^><<vvv^<^v^vv^vv<v<<v<^<>^v>^^^<^^v<v<v><<<^<>^^^^v>v^v^v^v<v><v>>^v><vv^^^v>><<v^vvvv<<<^v<<><^>^<v^^v<>vvvv^vv<>^v<><>^^<>>vvv<^>><v^<<>v>v<>^v^>v^>><<>>^^<^v<>>^>^><>>^<v<v^^<^v><v^<v<><><^<<><v^v<<>vv<v<v<^>>><>vv^^<><<v<^^<<^<><^^^>^>>>^<^>>>^>><^^^<^v^^^v^v^v>v>v><vv>><vvv<<v><><^^>^v<v>><v><^><^<<>v^vv^v><^vv>^>>v<vv><^<^^v<^^vv<vv<v<v>v><v<vv<<>^^v^^v<<<^<>v^^^<><>>><^>v^^^v^vv<<<^>>v><^>v^<>>>>^<>^^vvv^^<><^>^^<><>^vvv^^<vv^>vv^^^^v<>vv<^^^v<<>><<vvvvv>v>^^^vv>><v><v<>vvvv<v^><^<>^>^<>v>v>v^vvvv<><^v>>>^^>><vvv<>^>^v^<vvv>v^vv^vv><>><>v^^v^vv<^v>vv>>v<v><^<<^v<>>^vv^<v>v><v>v>^v>^<v>^<<^>vv>v<^<^vv^<^><<<v<<^^vv<vvv><>v>v<vv^<><><^vvv>>vv<^^^v><^v><<^>^^v>^<>><v<>>^^<<<v><>^>^><vvvv<>^<<<><<<^<>>v^vv^>><^vv^^>^<v^<v>><^^>>>^v>^v<>^v<><^><vv>v^^^<^>>^<<^<^><<<^^<v<<^vv<^<>v<^<<^^<v<vv<<><v<v^<>^<>v>>v<^v>v<>^^vvv<>vv^v^<><v^vv^<^v^v><>^><v^<>>^^^<>>vv^<v>^^v><v<^>^^^^^^><>>vvv<<><><v<^>v<>v^v<<<<>v^>>>>^v>^^<v^>v><v^<^^v<<<<v<<<>^v<^>^v>v^^>v^^vvv>vv<>^>v><v<>^<vv><>>><<^>>><<v>v^^<^<<<<v^<>>>v<<<^v^vv<>^v>v<<<<>^^>><v><>v<v><^^>><>^>^>v>>><v>^vvvv<><><^>>^v^><<>^v<><><^><<<>v^^>v>^>v^<v^vv<>><^vv^^>^^><vv<<>v>v^^>><v^>^<^<>>>vv<>^>v>v^<>v<^<<v>>>^<>v^>v>>vv^^<>>v<v<<^<>v>v^<^^^>v^^>v>v>vv<^<v>v^^><<<v<><>^^<>v>v>^^v>v>v^v>>^<v^v>><>^^>^<>>>^vv^><v^<^>v^>^v><^>^^^vv^^v<>vv<>>^><<^v>^v^>>v>^v^<<^^^vv<<vvv>^vv^v<<<v^^<<><vv<>>^^vv>^^^vv>><><v>v<^v^>>>vv^><>><v<^v<>^><v<^^^^>><^<>v>^v<^vv>v>v<^<>v>v>^<vv>v<^>vvv<v^<vv<vv<>v>^><v^v<>>>>>v>><^v<>v>^v><v^v^vv<>^<vvv^>><v^<vvv^^<^vvv^v^<>><v>v^^v<><>v^^^v<<<^><v<<<>><<vv<<><vvv^v>>v^v<v^>>><<v<>^v><>vv<<v>v^vv>v^v<^<vv<><><^v>^<vv>v^^>>^^^><vv<><^>>>^<v^<<^^>^>vv^><v<vvv>^^>>>^><<vv>vv>^<>>^^><^v><<>^<<<v^>^

产生1408灯。

要生成输入，可以使用以下Python脚本：

import random
length = random.randint(15, 10000)
walk = ''
chars = ['v', '<', '>', '^']
for i in range(length):
    walk += random.choice(chars)
print(walk)

标准代码高尔夫得分，获胜者是最小的字节数。

MATL，19 18 17 13字节

@LeakyNun的想法（请参见他的答案）使用虚构的单位作为幂的基数，因此减少了5个字节。

Jj11\^Ys8#uos

在线尝试！测试用例：1，2。

说明

该代码使用复杂平面中的单位步长来跟踪路径。然后，它计算访问每个位置的次数，并输出访问奇数次的位置。

J         % Push the imaginary unit, 1j
j         % Input string
11\       % Modulo 11. This gives 7 6 5 8 for > ^ < v
^         % 1j raised to those numbers, element-wise. This gives -1j for >, -1 for ^,
          % 1j for < and 1 for v. So it gives the displacements in a "transposed"
          % complex plane
Ys        % Cumulative sum. This transforms displacements into positions
8#u       % Count of occurrences of each unique position
o         % 1 if odd, 0 if even
s         % Sum. Implicitly display

Python，68个字节

25字节归功于Sp3000。

路易斯·门多（Luis Mendo）的模数取11的想法，因此得到2个字节。

感谢xnor，共17个字节。

d=set()
p=0
for c in input():p+=1j**(ord(c)%11);d^={p}
print(len(d))

伊迪恩！

Java的8，169个 130 127字节

感谢Leaky Nun节省了29 32个字节。

s->{int l=s.length,d=2*l+1,p=l*d+d,r=0,m[]=new int[d*d];for(char c:s){p+=c<61?-1:c<63?1:c<95?-l:l;m[p]^=2;r+=m[p]-1;}return r;}

非高尔夫（sorta）：

public static int f(char[] s) {
    int l = s.length, d = 2*l+1, p=l*d+d, r = 0;
    int[] m = new int[d*d];
    for(char c : s) {
        p += c<61 ? -1 : c<63 ? 1 : c<95 ? -l : l;
        m[p] ^= 2;
        r += m[p] - 1;
    }
    return r;
}

果冻，13个字节

的端口路易斯Mendo在MATL回答

O%11*@ı+\œ^/L

在线尝试！

O%11*@ı+\œ^/L
O             convert to codepoint
 %11          modulo 11
    *@ı       power of i (imaginary unit)
       +\     cumulative sum
         œ^/  reduce by multiset symmetric difference
            L length

丹尼斯的œ^/绝招

Perl，49个字节

包含+1，用于-p 通过STDIN上的控制字符串运行

./lights.pl <<< "<<>"

lights.pl：

#!/usr/bin/perl -p
$\-=1-($a{$x+=/</-/>/,$y+=/\^/-/v/}^=2)for/./g}{

如果输入限制为10000个字节，则减少为44+1：

$\+=$#{$x+=/</-/>/.e5+/\^/-/v/}*=-1for/./g}{

TSQL，238个 235 203 191字节

使用递归SQL在内存中创建表。从该表中选择并计算（一个行代码）。

打高尔夫球：

DECLARE @ varchar(max)= 'v>v<';

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

取消高尔夫：

DECLARE @ varchar(max)= '>>>><^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 top 1sum(sum(1-1/b)%2)over()
FROM c
GROUP BY a
OPTION(MAXRECURSION 0)

小提琴

Mathematica，64个字节

路易斯·门多（Luis Mendo）的MATL答案港口。

Count[{_,_?OddQ}]@Tally@Accumulate[I^Mod[ToCharacterCode@#,11]]&

SQF，160字节

使用文件功能格式：

x=0;y=0;a=[];{switch(_x){case"v":{y=y-1};case"^":{y=y+1};case"<":{x=x-1};case">":{x=x+1};};if([x,y]in a)then{a=a-[[x,y]]}else{a=a+[[x,y]]}}forEach _this;count a

致电为： "STRING" call NAME_OF_COMPILED_FUNCTION

取消高尔夫：

//position tracker variables
x = 0; y = 0;
//`a` keeps track of which coords are switched on
a = [];
{
    //switch based on the magic variable `_x`
    //which is the current element of the forEach
    //and adjust coord tracker variables
    switch(_x) {
        case "v": {
            y = y - 1
        };
        case "^": {
            y = y + 1
        };
        case "<": {
            x = x - 1
        };
        case ">": {
            x = x + 1
        };
    };
    //check if the coord is already turned on
    if ([x, y] in a) then {
        //remove it from `a` using array exclusion
        a = a - [[x, y]]
    } else {
        //append it to `a`
        a = a + [[x, y]]
    }
//do this for each character in _this (the argument)
} forEach _this;
//return the length of `a`
count a

Python的：207 189 181个字节

a = input()
l=[]
for i in range(0,len(a)):
 if a[i]=='v':y-=1
 if a[i]=='^':y+=1
 if a[i]=='<':x-=1
 if a[i]=='>':x+=1
 if [x,y] in l:l.remove([x,y])
 else:l.append([x,y])
print(l)

输入是一个字符串。

感谢@LuisMendo指出我实际上只能缩进1个空格。我的Python老师该死，告诉我始终以4为增量进行操作。

对其进行修复，以便获得输入而不是假定存储，实际上节省了我8个字节。

Ruby，64 + 6 = 70字节

+6个字节用于-rset标志。

Leaky Nun的Python答案的直截了当。

->s{d=Set.new
q=0
s.each_char{|c|d^=[q+=1i**(c.ord%11)]}
d.size}

在repl.it上查看：https ://repl.it/Cnjy

R，172个 156 137 101 96字节

n=function(a)sum(table(cumsum(sapply(strsplit(a,"")[[1]],switch,v=-1,"^"=1,">"=1i,"<"=-1i)))%%2)

使用@LeakyNun的复杂平面思想。

不打高尔夫球

n=function(a){
    b=strsplit(a,"")[[1]]                        #Splits String up
    p=sapply(b,switch,v=-1,"^"=1,">"=1i,"<"=-1i) #Replaces characters with directions
    q=cumsum(p)                                  #Finds each location visitied
    t=table(q)%%2                                #Determines if spots were visited an odd # of times
    sum(t)                                       #counts odd visited spots
}

Javascript（ES6），97 93 85字节

i=>[...i].reduce((c,d)=>c-1+(v[p+=v['^<>v'.search(d)]]^=2),0,p=1E6,v=[-1E3,-1,1,1E3])

编辑：-8个字节，感谢尼尔

测试：

var test0 = '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';
var test1 = '>>><^>>>^vv><^^v^<<<>>^<>>^<^>^<<^^v^<v^>>^<<><<>^v<^^^vv>v><^>>^<^<v><^v<^<<^^v><>>^v<^>^v<vvv<<<v^vv>>^vv>^^<>>vv>^<^>vv<>v^<^v<^^<v^^^<<^><><>^v>vvv<^vvv<vv><vv<^^v^^<^^>>><<<>^<>>><^<<<>><>^v><^^vv<>>><^^^<^>>>>v<v^><<>v<v<v^<<^><v^^><>v>^<>^^^vvv<v^>^^^^v>v<v>>>v^^<v<vv>><<>^vv><<vv<<>^^v>>v<^^v>><v<v<<>^^vv>>^v>v>v<>^>^v<>>><>v>v<<v<^<>>>vv>>v>^<>vv^v><><^v^>v<^^>v<^v>>v^>^>>v>v>^>^<^^>vv>>^vv<^><>^><<v^<><<^<^>^^vv^<<^^<^^v<v<>^>v>>>>>>vv<<v>^>vv^>^><^<^^><<vvvv>vvv<><<><v^vv><v^^<>^>><^vv<><>^>vv>>>vv^vv<<^v^^<<v^^>^>vvv<><<v>^>^>v<v>^<^^^^<^>^>><>>^^vv<>v<^>v><v<v^>>v<^v<vv>v^>v<v^<^^^^v<^<^<<v<<<v<v^^>vv^>><<<v>>^^^>^<^>>>v^v><^^vv^>><^^vv<vv<v^><>>^><<<>>^^v^v<<v^<vv^^^>><>>^v^^^>>^>^<<^>v>^^v>><>v>^>vv^^<vvvv<><^v>^><<>>><^<^v^<<vvv^v<<<<<><><<><><<v>v<v>v><^v^^vvv>><>^>^>^v<<vv^^^v^vv><v><><v<v<<>>>v<^<^v<<>^v<<^v<><>v>>^^>^<v^<<^v^^^vv>><v^<v>^v><^<>>>>^^<vv<>^^>^>v^v^^>><>^^<^v^<v<<v<^<<^^vv>v>^<vv<<^^v^vv^>^^<>v>^>^<>vv><v>>><<><<vv^^<vv<>>^v>^<<vv>^><<>^<v>v><<v^<v<><v>^<^<^><^^^^>>>^<>^^><>>v^<vv^<^<<vvvv>>>v^v>>^>v^><<>>v<>>^>><vvvvv<<vvvv<v>^v<vv^<>><<><v^^<^<v>^v<^<<>^v<v^<>v<<>^<<vvv><^><^^^<>>v^<<>vv><^^^>><^>v^v>v<v^>>v>>v>vv<<v<<vvv^^^>^<v^^<^<v<^<>>v^<<v>>v^><v<vvvvv^^^<v^^<><v<<^>>^><^<v^v^^>><v><>v>^<vvvv><<v^^v^>^>v>><>^^v>v^>vv^>v<^<<^vv^>vv^<v>^<v^<>^v>v^>v^<<>^^<^>^^>vv^>>vv>v>vvv><>^v<<<<v^>v^^v<><v<v>^<^><^><<v<>><<>v^^>>><<><>>><<>><v^^>><^>><^<>v^^vvv>v<^<<vv^>vv^><<>v><>^<>v^^v>^>v^<>^><v>^><<^v<v^^<v>><^^>>^<^<^v<v>^>^<^<v><><>>>><>^<^<v>v<v^>v><>v^>v^<<><^<>>v<^vv^^^>^<<<<>^>^<><^vvv>^^<v^v>v>v^v>v>>vv>^><>^vv>^<v<v^<>vv^<v<><>^>>vvv><>>^<<v^<<>^<v^>v<^^^<^<^^<>^>>v>^<v>vv<v^^>><<<<<>>v>^v>^>>>>v>>^^>^<<<^<<<v>>^><<<<^vv<<>^v<^>v^<v<<>v<>^<^<^<^<>>^^^vvv<v>^vv>^><^<v^>^v<v>><><vvv<^^>>v<^v>^>>>><v^<v^^<^^v<vvv<v>^^<<>><^<v^v<^vv>v>vv>^^<>^^^^>>^v><vv<<<v>^v^>>v^>><<<^v^v<<>><<vvvvv<v^vv>vvvv><v^v<^^^><vv^^<>><>><^>^^^^v>v><><v^<>^v<>^^<^^>^^^vvv>>vv^v^<v<vv^v>v>>>^v^^vv^<^v>v^v>>^v>v<v^<^^><vvv>><<>><>><v>v<^<v>>>>v^^v^^>^><<v><^<<>>v<>^^<<>vv^>>vv^^^v>>>^v^><v<<^>v<v><>>>^>>^<<>>^><<vv<^^>^^^v^^<>>>vv><<>v<><<<>v<<>>>v<>v<>^<vv^v<^^<<<v>^v>>^^>^><<^vv<><><>v>^v>^<>v>>^^^<^^>>vv>v<<<v^><<v><^v><>v<^<<^<>^vv>^><^^^^^<<v^^<>v>><^<v^^^vv>^v<>^<v<v>v>^><^<<^<>><^^>vv^<>^<>vv<>>v<vv^>><^^<^>v<><>vv<v<>>v><v^^^>^^^<<vv^><^^v>v>^<^>v^><<vvv>v^><vv<><^<><^>^v<><<v^<<><>^^^^<<^>>^>^v^>v>^<<^>vv^vv^v<>^<<^>v<^^<<v<v<<<^>vv^>><>v>><><v>v><v^><vvv>vv<<vvv>v^<<^v<^<><<^v>v<>>vv<<v^>v>v<<>>^vv^<^^^<^v>>^<vv>^<v>><>v>^^<<v^<>>>>>v^v>><>v^>>^<>>^<^vvv^^^<^v<><vvv^>^>v><<v>>^v>v<v>v^<v>v>^<>vvv>vvv^^<>vv>^^^^^>v<<^v<>>>><<<>>><vv>>^v^^v<v^>>>^>^v<^v>^v<>vv<><vvv^v<<<<v<vv>vv^<^vvv<^v>v^^vv<^>>>^^>>^^><>^>>v<>>>^^<<v<^<<<<<^^<v^^^<<>><<<^>^v^>vv<>>>^^v><<>^^^^<vvv><^^<>>>^><<^>><v>^<>^v^<vvvv^>>^><<>><^<v^>>vv^vv<^>>>><^>^v<^<v<^^<^<^><^<>>^<>v^v<<>v>v<>><<v<^v<<<^v<v<>><v<^<^>>v>v>><v^<v><>>>>>v^v>><^<^<v>><v^v>v<>v<v><<<>^^><>^^<^vv^^<>v><><><^>^^v^vv^<><>>>>v><>>^>^<<^<v<v^>v^^<v>>><<^^vv^^>><<^<vvvvv>><^>^>>^vv<><<>v>v^<<<^v<^^<<^vv>v<vvv><^v>vv^vvvv<^>^v^<<<<^v<<<>^vvv>^v><<>>v<v<^v^<>v>>^^v^vv>>>^v^^>>^<><><<<<^vv>>>>>v>v^>v<>><<<>^vv>^^^^<^^^>^^^^>^^^v^v><^>^>>>v<v<^<^^<<^v<<^<>vvv^^^^v^<<>vv>^^>>><^^v<^<<<v<>v<<><>v<><>^<v<<^>^^>><<v>^^><^^v<^<v^<^^<>^<>^v^>>^^v^v^<>v<>^<<<>^v^v>^<vvvv<>v<<>vv^<<>vv>>>>^<v><>>>v^><<>^v>><<>>^^v><^<>>vv^^^>vv^<^^v><v>>vvv^v<^v>v<<^^<>v^^^v^^>><v^>>v^v^vv<^>v^<^>^>v<v^><vvv^>^<>v<<^><^^<vv>v>>vv>v^>>^vvv>>v^>^^>vvv>>v><<>>^^v>v<v<><<<<^^v<^<>^v>><v^^^<>>vvv>v><<v>^^<^vvvv^v>v>^vv>^vv^^v><<>>^^>>v>>>^v><^>v<^^<>vv>v>v^^^>>^^^><<<<>>^>>^<^v<^<^<>^><v<<v>v<>^>>^<<v^^<v^vvvvv>>v^>>^^^<^^<><<><><>^v>vvv^>^^>v<^^>^<<^v^^^><>><<v<^^^<<<<>><>><<^^v><v^<<^v<v><<>^<v>^>^v>vv>><v^<^<v<v<v><^^^^>>><^<><^v^v<<<^>vv^<v^>^^v^>>><<<<^<>>><v>>>vv^>^^<v^v>>>v^<^<>vv>^v^^><<<v>v>v>><>>>v<^>^<>>^^<v^<<^<v^>><^v^><><v><><v^vvv<<>v>>><<><v>v<>>><^<^^v<v>^<<>^v>^>^>^^<^^><^>>>>><^^>vv>^<^^<><^>^<^^><^<v>v^>><^>^^^>>v^v<^>>^<v^<>^><><v>>^v<v^^^^v<^vv><^v>>^^^<>^<^<^>vv^v<<>vv>^<>v>^>^>vv^v<vv<^^^v<v>v>v^<^^^v><v<<<^^<><^^>>>><<^^v<<^>v<<vv^^^vv^vv^<v><>^v<v>>><vv^v<v^>>>>^<<<vv^>>v>^><<><<^<^><<vv^>v^>><>v^<<<>v^><>><<>>v><>v^<v><>^v>>><><>>>^vvv^v>vv>>>^^v^><<v<>>^^^v^^><<^v<><><v<<v<v<><<<v^<^^^<>v^^v<^^<<^>v<<v><^<<<<>><>^v>^<>^<^^v^vvv>^^<>^>><v^^vv^<>^<><<^^^v<^^^>>^^v>^>^<^>v><<^<>^v<><vv^vv<><<<<<<v<<v<<vv^<<^<^vvvv><v^v^v<>>>vvvvv^<vv^<^<>vv>^<><<v><>v^^<v<>>>vvv^><^<^>v^^<v>^<>>>^^v^<vv<<<<^><v<<<>v<<<v<>>^^^>^><>v>^v^>^<v^^><^v^^<^v^^>^v>>^^^<<><><<<>v>><^><>>>vvvv>v>>v>^^^^v<><vv<^<v^v>>^^vv<^>vvv>^v>>><v<v<v^<^>^^<vvv<vv<v>>^vv>^<<^<^<v>v^<vv^^^v>vv<v><v><v>^<v>>vv<>v>^^>v^^^<>v<>v^v<>^<><v><^>^<v^v><<^v^v^v<<v><<^^<^vv>^<^v><>v>><v^v^>><><><<<v<>v<^vv>v<v<<>^vvvvv^<<<^<vv><<><>v^<^v<<<^>v>v<v^<<^>v<<^<v><<<^>vv>v>^<^^v>>>><>vv>>vv>vvv<>^^<>^v^<>vvv<^^^vv>v><<<<vv^v><v^<^<<<><v<>^><<>^>v<^^<<>v>>v<<>><^^<<<^<^vv^^>v>v<>^^>>^v^vvv>^v^>v>>v>v>v>>vv^<><<<<>v^^>vv<^^v>>v<vv<^>>^<>^^v<><vv^<><v><v<<v^v<^^<^v^v<>v<<><vvv><<<^<^^<<>>^v>>>^v>>>v<>>^><<<><><<<v<vv<^<>v^^v^^>^<<^^^v^>^<<^>^>^>>>>v<v<v<>vv<<vv^<<^<vv>^^<^<<>><^v><><>^<v><v^>^v>^<^>^^><v><<^<v^^<<^><><v>v<>>><<^><v<^vvv^<<<>><<>^v^^><vv>vv<>^>^>vv<>v^<^<>vv><<>^<v<vv<^<^<><^vv<<^>>>v<>><<>>>^^^^<<^v>>v<vv>^^>v<v<vv^><<><>>>v>>^^v<^v^^>>v^<>>v^>><^<^^v<v<><<><>>^<>><^v<^^^^><>^>vv>>^vv<<>v<<<<<<><<<><<>><v><^^^<>>v<^><^vvv<>^>^^v>^<v><^v^vv^<<>v<<<<v>^vv>>v>vv<<^>^<>>vvv^<v<><>><>^^^^vvvvvvv<<>v<^><^^>vv^^<v<<^^<vvv<v<v<<>><<><v^^>><^<>^v^vv<<v<v<>><<>>>>>^vv<><v<>v><v>v>><v<v^vvvvv<><>v>>v<><<<^^<>^<^^<v>v^<vv>^vv^<>^<<^<vv><v<v>>v>^<>v^<<v^<v>^v<>><v>>>>^<<^^^v<^<>><^<><v>>vv^>^<^<^>>v^>^^^^>vvvvv>^v<^><^^<^^>^<^^^^^^^>v>>vv>v^^^v^^^<>v><^>>>v>^>^>^>vv<vv<^^>>^>>>v<>v><<^<<v^>^>>>>^^><^^<v<<<<>>v>v^v^^<>><v<^<<<<v^^^^<v<<<^>v>^^<vv<^^^^^v>^v^<v><>>^^>^v>^>^vv^v>v>v^>v>^>>^^^^>>^>>^><>><v>v>>><<^v^v^>^>^>>vv><<^>v<v<v^<<>>^v<<^v<<^><^>>^<v>^>vv>v>^^^>v^^<^<^^>vv>^^><v>>^v>^v<<^^^<<^v^>^<<^>vv^>>^<^v><<>v><^^^<^^>>vv>^vv>><^<<<^>vv^v>v<^<<<^<^<<><^^>>>v^<^^^>^<><^v>>^<<v<^v>>v^<^<^<^^^<v^><<vvv^<^v^vv^vv<v<<v<^<>^v>^^^<^^v<v<v><<<^<>^^^^v>v^v^v^v<v><v>>^v><vv^^^v>><<v^vvvv<<<^v<<><^>^<v^^v<>vvvv^vv<>^v<><>^^<>>vvv<^>><v^<<>v>v<>^v^>v^>><<>>^^<^v<>>^>^><>>^<v<v^^<^v><v^<v<><><^<<><v^v<<>vv<v<v<^>>><>vv^^<><<v<^^<<^<><^^^>^>>>^<^>>>^>><^^^<^v^^^v^v^v>v>v><vv>><vvv<<v><><^^>^v<v>><v><^><^<<>v^vv^v><^vv>^>>v<vv><^<^^v<^^vv<vv<v<v>v><v<vv<<>^^v^^v<<<^<>v^^^<><>>><^>v^^^v^vv<<<^>>v><^>v^<>>>>^<>^^vvv^^<><^>^^<><>^vvv^^<vv^>vv^^^^v<>vv<^^^v<<>><<vvvvv>v>^^^vv>><v><v<>vvvv<v^><^<>^>^<>v>v>v^vvvv<><^v>>>^^>><vvv<>^>^v^<vvv>v^vv^vv><>><>v^^v^vv<^v>vv>>v<v><^<<^v<>>^vv^<v>v><v>v>^v>^<v>^<<^>vv>v<^<^vv^<^><<<v<<^^vv<vvv><>v>v<vv^<><><^vvv>>vv<^^^v><^v><<^>^^v>^<>><v<>>^^<<<v><>^>^><vvvv<>^<<<><<<^<>>v^vv^>><^vv^^>^<v^<v>><^^>>>^v>^v<>^v<><^><vv>v^^^<^>>^<<^<^><<<^^<v<<^vv<^<>v<^<<^^<v<vv<<><v<v^<>^<>v>>v<^v>v<>^^vvv<>vv^v^<><v^vv^<^v^v><>^><v^<>>^^^<>>vv^<v>^^v><v<^>^^^^^^><>>vvv<<><><v<^>v<>v^v<<<<>v^>>>>^v>^^<v^>v><v^<^^v<<<<v<<<>^v<^>^v>v^^>v^^vvv>vv<>^>v><v<>^<vv><>>><<^>>><<v>v^^<^<<<<v^<>>>v<<<^v^vv<>^v>v<<<<>^^>><v><>v<v><^^>><>^>^>v>>><v>^vvvv<><><^>>^v^><<>^v<><><^><<<>v^^>v>^>v^<v^vv<>><^vv^^>^^><vv<<>v>v^^>><v^>^<^<>>>vv<>^>v>v^<>v<^<<v>>>^<>v^>v>>vv^^<>>v<v<<^<>v>v^<^^^>v^^>v>v>vv<^<v>v^^><<<v<><>^^<>v>v>^^v>v>v^v>>^<v^v>><>^^>^<>>>^vv^><v^<^>v^>^v><^>^^^vv^^v<>vv<>>^><<^v>^v^>>v>^v^<<^^^vv<<vvv>^vv^v<<<v^^<<><vv<>>^^vv>^^^vv>><><v>v<^v^>>>vv^><>><v<^v<>^><v<^^^^>><^<>v>^v<^vv>v>v<^<>v>v>^<vv>v<^>vvv<v^<vv<vv<>v>^><v^v<>>>>>v>><^v<>v>^v><v^v^vv<>^<vvv^>><v^<vvv^^<^vvv^v^<>><v>v^^v<><>v^^^v<<<^><v<<<>><<vv<<><vvv^v>>v^v<v^>>><<v<>^v><>vv<<v>v^vv>v^v<^<vv<><><^v>^<vv>v^^>>^^^><vv<><^>>>^<v^<<^^>^>vv^><v<vvv>^^>>>^><<vv>vv>^<>>^^><^v><<>^<<<v^>^';

S=i=>[...i].reduce((c,d)=>c-1+(v[p+=v['^<>v'.search(d)]]^=2),0,p=1E6,v=[-1E3,-1,1,1E3])

console.log(S(test0))
console.log(S(test1))

Powershell，136字节

$a=@();switch -w($args|% t*y){'^'{$y++}'>'{$x++}'v'{$y--}'<'{$x--}*{if("$x,$y"-in$a){$a=$a|?{$_-ne"$x,$y"}}else{$a+="$x,$y"}}};$a.length

在线尝试！

我认为这里还有更多要优化的地方，但这是我目前获得的最低点。

更容易阅读：

$a=@();switch -w($args|% t*y){
    '^'{$y++}
    '>'{$x++}
    'v'{$y--}
    '<'{$x--}
    *{if("$x,$y"-in$a){$a=$a|?{$_-ne"$x,$y"}}else{$a+="$x,$y"}}
};$a.length

说明：输入已更改为字符数组，并且每个部分都与前4个切换条件之一匹配，以递增x或y坐标。一切都与第5种情况相符，我们决定是打开还是关闭灯。末端的长度决定了打开的开关总数。

注意：坐标中的逗号是必需的，因此不会发生像（10,10）和（101,0）这样的碰撞

PowerShell，96 95字节

$(switch -w($args|% t*y){^{$y++}'>'{$x++}v{$y--}'<'{$x--}*{"$x,$y"}})|group|% c*|%{$r+=$_%2}
$r

在线尝试！

展开：

$plane=$(switch -w($args|% toCharArray){
    ^  {$y++}
    '>'{$x++}
    v  {$y--}
    '<'{$x--}
    *  {"$x,$y"}
})
$plane|group|% count|{$result+=$_%2}
$result

PowerShell中，112个 109字节

路易斯·门多（Luis Mendo）的MATL答案港口。

$args|% t*y|%{($p+=($c=[numerics.complex])::Pow($c::new(0,1),$_%11))}|group{'{0:N2}'-f$_}|% c*|?{$r+=$_%2};$r

在线尝试！

事实上，24个 23字节

这是路易斯·门多（Luis Mendo）的MATL答案的港口。欢迎打高尔夫球。在线尝试！

编辑：感谢Leaky Nun一个字节。

O⌠4P@%ïⁿ⌡Mσ;╗╔⌠╜c2@%⌡MΣ

开球：

O        ord(c) of the input string (implicit input)
⌠...⌡M   Start a function, and map over the list of ord(). Call the variable i.
  4P@%     i mod 11 (the 4-th prime).
  ïⁿ       1i to the power of (i%11).

σ        Push a list of cumulative sums of the new list of complex numbers.
           This is a list of the coordinate visited.
;╗       Duplicate coord_list, and push to register 0.
╔        uniquify(coord_list)

⌠...⌡M   Map over the uniquified list. Call the variable j.
  ╜c       Push coord_list.count(j)
  2@%      Push count mod 2

Σ        Return the sum of this last list.

C，203个 190 189字节

#define S(s)1-(*s%11<7)*2<<*s%11%2*16
char*t,*u;P,p,r,L,e;
f(char*s){for(P=L=0,t=s;*t;++t){P+=S(t);e=r=1;for(p=0,u=s;u<t;u++)e*=(p+=S(u))!=P;for(p=P;*++u;r^=p==P)p+=S(u);L+=e*r;}return L;}

O（n ^ 2）与O（1）内存算法。

它循环遍历每个位置，检查此位置是否较早出现，如果不是，则检查此位置之后是否出现偶数/奇数时间，将其加到总计中。

Perl，102 98 91 90（89 + -n）字节

perl -nE '$i=ord()%5,$x+=(-1..1)[$i],$y+=((0)x3,1,-1)[$i],$p{$x,$y}^=1 for/./g;say~~grep$_,values%p'

可读性：

$_ = <>; # -n
for (/./g) {
    $i = ord() % 5;
    $x += (-1 .. 1)[$i];
    $y += ((0) x 3, 1, -1)[$i];
    $p{$x, $y} ^= 1;
}

say 0 + grep $_, values %p;

• 感谢达达-4和-7

C＃210 205 139 138 135 128 113个字节

using System.Linq;int f(string s,int x=0,int y=0)=>s.GroupBy(c=>(x+=c%6%3-1)+s+(y-=c/3%6-2)).Sum(g=>g.Count()%2);

说明

//Have X and Y as default params allows us to use a expression bodied member
//and then remove the return statement
int f(string s, int x = 0, int y = 0) =>

    //treat the string as a char array
    s.GroupBy(c =>

            //Using the unerlying int of the char this math reduces down to either x - 1, x + 1, x + 0, y - 1 or y + 1, or y + 0
            //Concat the resulting values with the original string to ensure uniqueness ie x=1 and y=11 vs x=11 and y=1 for the grouping
            (x += c % 6 % 3 - 1) + s + (y -= c / 3 % 6 - 2))

     //Mod 2 will return either 1 or 0 so we can use sum to count the groups with odd counts
     .Sum(g => g.Count() % 2);

• 感谢VisualMelon将5个字节切换Count到Sum
• 再次感谢VisualMelon，这次通过建议一些奇特的数学方法来获取翻译，从而节省了66个字节。
• VisualMelon通过将select和group by组合为13个字节，并仅使用输入字符串作为x / y分隔符来另2个字节来再次进行救援

Perl 6，47个字节

{sum bag([\+] (-i,*i...*)[.ords X%11]){*}X%2}

在线尝试！

• (-i, *i, ... *)是无限的重复序列-i，1，i，-1，...
• [.ords X% 11] 将输入字符串中字符的序数值按模11切成该序列。
• [\+] 对这些值执行三角缩减（或“扫描”），从而生成在复杂平面上访问的坐标的列表。
• bag()创建一个Bag包含这些坐标的坐标，每个坐标都有一个相关联的多重性（出现在列表中的次数）。
• {*} 从袋子中取出所有物品。
• X% 22使用模运算符将这些多重与数字交叉%。奇数个多重性导致a 1，偶数个多重性导致a 0。
• sum 总结这些余数。

普通Lisp，198字节 186字节

解：

(let((p 0)(c 0)(h(make-hash-table)))(progn(loop for s across i do(incf(gethash(incf p(nth(position s "^>v<")'(1e3 1 -1e3 -1)))h 0)))(maphash #'(lambda(k v)(incf c(mod v 2)))h)(write c)))

运行！

说明：

(let ((p 0)(c 0)(h (make-hash-table)))
  (progn
    (loop for s across i
      do(incf (gethash (incf p (nth (position s "^>v<")'(1e3 1 -1e3 -1))) h 0)))
    (maphash #'(lambda (k v) (incf c (mod v 2))) h)
    (write c)))

• p是一个哈希表映射键，作为字符串“ ^> v <”内的字符的索引生成，重新映射为代表x，y的值1000，-1000、1 -1。（x轴为+ -1，y轴为+ -1000）
• 该索引处的哈希值增加1（切换计数器）
• 哈希表将比循环槽低，并且map函数将给定键值的最终计数递增为模的2

注意：我（输入）被定义为测试为：

(defparameter i ">>><^>>>^vv><^^v^<<<>>^<>>^<^>^<<^^v^<v^>>^<<><<>^v<^^^vv>v><^>>^<^<v><^v<^<<^^v><>>^v<^>^v<vvv<<<v^vv>>^vv>^^<>>vv>^<^>vv<>v^<^v<^^<v^^^<<^><><>^v>vvv<^vvv<vv><vv<^^v^^<^^>>><<<>^<>>><^<<<>><>^v><^^vv<>>><^^^<^>>>>v<v^><<>v<v<v^<<^><v^^><>v>^<>^^^vvv<v^>^^^^v>v<v>>>v^^<v<vv>><<>^vv><<vv<<>^^v>>v<^^v>><v<v<<>^^vv>>^v>v>v<>^>^v<>>><>v>v<<v<^<>>>vv>>v>^<>vv^v><><^v^>v<^^>v<^v>>v^>^>>v>v>^>^<^^>vv>>^vv<^><>^><<v^<><<^<^>^^vv^<<^^<^^v<v<>^>v>>>>>>vv<<v>^>vv^>^><^<^^><<vvvv>vvv<><<><v^vv><v^^<>^>><^vv<><>^>vv>>>vv^vv<<^v^^<<v^^>^>vvv<><<v>^>^>v<v>^<^^^^<^>^>><>>^^vv<>v<^>v><v<v^>>v<^v<vv>v^>v<v^<^^^^v<^<^<<v<<<v<v^^>vv^>><<<v>>^^^>^<^>>>v^v><^^vv^>><^^vv<vv<v^><>>^><<<>>^^v^v<<v^<vv^^^>><>>^v^^^>>^>^<<^>v>^^v>><>v>^>vv^^<vvvv<><^v>^><<>>><^<^v^<<vvv^v<<<<<><><<><><<v>v<v>v><^v^^vvv>><>^>^>^v<<vv^^^v^vv><v><><v<v<<>>>v<^<^v<<>^v<<^v<><>v>>^^>^<v^<<^v^^^vv>><v^<v>^v><^<>>>>^^<vv<>^^>^>v^v^^>><>^^<^v^<v<<v<^<<^^vv>v>^<vv<<^^v^vv^>^^<>v>^>^<>vv><v>>><<><<vv^^<vv<>>^v>^<<vv>^><<>^<v>v><<v^<v<><v>^<^<^><^^^^>>>^<>^^><>>v^<vv^<^<<vvvv>>>v^v>>^>v^><<>>v<>>^>><vvvvv<<vvvv<v>^v<vv^<>><<><v^^<^<v>^v<^<<>^v<v^<>v<<>^<<vvv><^><^^^<>>v^<<>vv><^^^>><^>v^v>v<v^>>v>>v>vv<<v<<vvv^^^>^<v^^<^<v<^<>>v^<<v>>v^><v<vvvvv^^^<v^^<><v<<^>>^><^<v^v^^>><v><>v>^<vvvv><<v^^v^>^>v>><>^^v>v^>vv^>v<^<<^vv^>vv^<v>^<v^<>^v>v^>v^<<>^^<^>^^>vv^>>vv>v>vvv><>^v<<<<v^>v^^v<><v<v>^<^><^><<v<>><<>v^^>>><<><>>><<>><v^^>><^>><^<>v^^vvv>v<^<<vv^>vv^><<>v><>^<>v^^v>^>v^<>^><v>^><<^v<v^^<v>><^^>>^<^<^v<v>^>^<^<v><><>>>><>^<^<v>v<v^>v><>v^>v^<<><^<>>v<^vv^^^>^<<<<>^>^<><^vvv>^^<v^v>v>v^v>v>>vv>^><>^vv>^<v<v^<>vv^<v<><>^>>vvv><>>^<<v^<<>^<v^>v<^^^<^<^^<>^>>v>^<v>vv<v^^>><<<<<>>v>^v>^>>>>v>>^^>^<<<^<<<v>>^><<<<^vv<<>^v<^>v^<v<<>v<>^<^<^<^<>>^^^vvv<v>^vv>^><^<v^>^v<v>><><vvv<^^>>v<^v>^>>>><v^<v^^<^^v<vvv<v>^^<<>><^<v^v<^vv>v>vv>^^<>^^^^>>^v><vv<<<v>^v^>>v^>><<<^v^v<<>><<vvvvv<v^vv>vvvv><v^v<^^^><vv^^<>><>><^>^^^^v>v><><v^<>^v<>^^<^^>^^^vvv>>vv^v^<v<vv^v>v>>>^v^^vv^<^v>v^v>>^v>v<v^<^^><vvv>><<>><>><v>v<^<v>>>>v^^v^^>^><<v><^<<>>v<>^^<<>vv^>>vv^^^v>>>^v^><v<<^>v<v><>>>^>>^<<>>^><<vv<^^>^^^v^^<>>>vv><<>v<><<<>v<<>>>v<>v<>^<vv^v<^^<<<v>^v>>^^>^><<^vv<><><>v>^v>^<>v>>^^^<^^>>vv>v<<<v^><<v><^v><>v<^<<^<>^vv>^><^^^^^<<v^^<>v>><^<v^^^vv>^v<>^<v<v>v>^><^<<^<>><^^>vv^<>^<>vv<>>v<vv^>><^^<^>v<><>vv<v<>>v><v^^^>^^^<<vv^><^^v>v>^<^>v^><<vvv>v^><vv<><^<><^>^v<><<v^<<><>^^^^<<^>>^>^v^>v>^<<^>vv^vv^v<>^<<^>v<^^<<v<v<<<^>vv^>><>v>><><v>v><v^><vvv>vv<<vvv>v^<<^v<^<><<^v>v<>>vv<<v^>v>v<<>>^vv^<^^^<^v>>^<vv>^<v>><>v>^^<<v^<>>>>>v^v>><>v^>>^<>>^<^vvv^^^<^v<><vvv^>^>v><<v>>^v>v<v>v^<v>v>^<>vvv>vvv^^<>vv>^^^^^>v<<^v<>>>><<<>>><vv>>^v^^v<v^>>>^>^v<^v>^v<>vv<><vvv^v<<<<v<vv>vv^<^vvv<^v>v^^vv<^>>>^^>>^^><>^>>v<>>>^^<<v<^<<<<<^^<v^^^<<>><<<^>^v^>vv<>>>^^v><<>^^^^<vvv><^^<>>>^><<^>><v>^<>^v^<vvvv^>>^><<>><^<v^>>vv^vv<^>>>><^>^v<^<v<^^<^<^><^<>>^<>v^v<<>v>v<>><<v<^v<<<^v<v<>><v<^<^>>v>v>><v^<v><>>>>>v^v>><^<^<v>><v^v>v<>v<v><<<>^^><>^^<^vv^^<>v><><><^>^^v^vv^<><>>>>v><>>^>^<<^<v<v^>v^^<v>>><<^^vv^^>><<^<vvvvv>><^>^>>^vv<><<>v>v^<<<^v<^^<<^vv>v<vvv><^v>vv^vvvv<^>^v^<<<<^v<<<>^vvv>^v><<>>v<v<^v^<>v>>^^v^vv>>>^v^^>>^<><><<<<^vv>>>>>v>v^>v<>><<<>^vv>^^^^<^^^>^^^^>^^^v^v><^>^>>>v<v<^<^^<<^v<<^<>vvv^^^^v^<<>vv>^^>>><^^v<^<<<v<>v<<><>v<><>^<v<<^>^^>><<v>^^><^^v<^<v^<^^<>^<>^v^>>^^v^v^<>v<>^<<<>^v^v>^<vvvv<>v<<>vv^<<>vv>>>>^<v><>>>v^><<>^v>><<>>^^v><^<>>vv^^^>vv^<^^v><v>>vvv^v<^v>v<<^^<>v^^^v^^>><v^>>v^v^vv<^>v^<^>^>v<v^><vvv^>^<>v<<^><^^<vv>v>>vv>v^>>^vvv>>v^>^^>vvv>>v><<>>^^v>v<v<><<<<^^v<^<>^v>><v^^^<>>vvv>v><<v>^^<^vvvv^v>v>^vv>^vv^^v><<>>^^>>v>>>^v><^>v<^^<>vv>v>v^^^>>^^^><<<<>>^>>^<^v<^<^<>^><v<<v>v<>^>>^<<v^^<v^vvvvv>>v^>>^^^<^^<><<><><>^v>vvv^>^^>v<^^>^<<^v^^^><>><<v<^^^<<<<>><>><<^^v><v^<<^v<v><<>^<v>^>^v>vv>><v^<^<v<v<v><^^^^>>><^<><^v^v<<<^>vv^<v^>^^v^>>><<<<^<>>><v>>>vv^>^^<v^v>>>v^<^<>vv>^v^^><<<v>v>v>><>>>v<^>^<>>^^<v^<<^<v^>><^v^><><v><><v^vvv<<>v>>><<><v>v<>>><^<^^v<v>^<<>^v>^>^>^^<^^><^>>>>><^^>vv>^<^^<><^>^<^^><^<v>v^>><^>^^^>>v^v<^>>^<v^<>^><><v>>^v<v^^^^v<^vv><^v>>^^^<>^<^<^>vv^v<<>vv>^<>v>^>^>vv^v<vv<^^^v<v>v>v^<^^^v><v<<<^^<><^^>>>><<^^v<<^>v<<vv^^^vv^vv^<v><>^v<v>>><vv^v<v^>>>>^<<<vv^>>v>^><<><<^<^><<vv^>v^>><>v^<<<>v^><>><<>>v><>v^<v><>^v>>><><>>>^vvv^v>vv>>>^^v^><<v<>>^^^v^^><<^v<><><v<<v<v<><<<v^<^^^<>v^^v<^^<<^>v<<v><^<<<<>><>^v>^<>^<^^v^vvv>^^<>^>><v^^vv^<>^<><<^^^v<^^^>>^^v>^>^<^>v><<^<>^v<><vv^vv<><<<<<<v<<v<<vv^<<^<^vvvv><v^v^v<>>>vvvvv^<vv^<^<>vv>^<><<v><>v^^<v<>>>vvv^><^<^>v^^<v>^<>>>^^v^<vv<<<<^><v<<<>v<<<v<>>^^^>^><>v>^v^>^<v^^><^v^^<^v^^>^v>>^^^<<><><<<>v>><^><>>>vvvv>v>>v>^^^^v<><vv<^<v^v>>^^vv<^>vvv>^v>>><v<v<v^<^>^^<vvv<vv<v>>^vv>^<<^<^<v>v^<vv^^^v>vv<v><v><v>^<v>>vv<>v>^^>v^^^<>v<>v^v<>^<><v><^>^<v^v><<^v^v^v<<v><<^^<^vv>^<^v><>v>><v^v^>><><><<<v<>v<^vv>v<v<<>^vvvvv^<<<^<vv><<><>v^<^v<<<^>v>v<v^<<^>v<<^<v><<<^>vv>v>^<^^v>>>><>vv>>vv>vvv<>^^<>^v^<>vvv<^^^vv>v><<<<vv^v><v^<^<<<><v<>^><<>^>v<^^<<>v>>v<<>><^^<<<^<^vv^^>v>v<>^^>>^v^vvv>^v^>v>>v>v>v>>vv^<><<<<>v^^>vv<^^v>>v<vv<^>>^<>^^v<><vv^<><v><v<<v^v<^^<^v^v<>v<<><vvv><<<^<^^<<>>^v>>>^v>>>v<>>^><<<><><<<v<vv<^<>v^^v^^>^<<^^^v^>^<<^>^>^>>>>v<v<v<>vv<<vv^<<^<vv>^^<^<<>><^v><><>^<v><v^>^v>^<^>^^><v><<^<v^^<<^><><v>v<>>><<^><v<^vvv^<<<>><<>^v^^><vv>vv<>^>^>vv<>v^<^<>vv><<>^<v<vv<^<^<><^vv<<^>>>v<>><<>>>^^^^<<^v>>v<vv>^^>v<v<vv^><<><>>>v>>^^v<^v^^>>v^<>>v^>><^<^^v<v<><<><>>^<>><^v<^^^^><>^>vv>>^vv<<>v<<<<<<><<<><<>><v><^^^<>>v<^><^vvv<>^>^^v>^<v><^v^vv^<<>v<<<<v>^vv>>v>vv<<^>^<>>vvv^<v<><>><>^^^^vvvvvvv<<>v<^><^^>vv^^<v<<^^<vvv<v<v<<>><<><v^^>><^<>^v^vv<<v<v<>><<>>>>>^vv<><v<>v><v>v>><v<v^vvvvv<><>v>>v<><<<^^<>^<^^<v>v^<vv>^vv^<>^<<^<vv><v<v>>v>^<>v^<<v^<v>^v<>><v>>>>^<<^^^v<^<>><^<><v>>vv^>^<^<^>>v^>^^^^>vvvvv>^v<^><^^<^^>^<^^^^^^^>v>>vv>v^^^v^^^<>v><^>>>v>^>^>^>vv<vv<^^>>^>>>v<>v><<^<<v^>^>>>>^^><^^<v<<<<>>v>v^v^^<>><v<^<<<<v^^^^<v<<<^>v>^^<vv<^^^^^v>^v^<v><>>^^>^v>^>^vv^v>v>v^>v>^>>^^^^>>^>>^><>><v>v>>><<^v^v^>^>^>>vv><<^>v<v<v^<<>>^v<<^v<<^><^>>^<v>^>vv>v>^^^>v^^<^<^^>vv>^^><v>>^v>^v<<^^^<<^v^>^<<^>vv^>>^<^v><<>v><^^^<^^>>vv>^vv>><^<<<^>vv^v>v<^<<<^<^<<><^^>>>v^<^^^>^<><^v>>^<<v<^v>>v^<^<^<^^^<v^><<vvv^<^v^vv^vv<v<<v<^<>^v>^^^<^^v<v<v><<<^<>^^^^v>v^v^v^v<v><v>>^v><vv^^^v>><<v^vvvv<<<^v<<><^>^<v^^v<>vvvv^vv<>^v<><>^^<>>vvv<^>><v^<<>v>v<>^v^>v^>><<>>^^<^v<>>^>^><>>^<v<v^^<^v><v^<v<><><^<<><v^v<<>vv<v<v<^>>><>vv^^<><<v<^^<<^<><^^^>^>>>^<^>>>^>><^^^<^v^^^v^v^v>v>v><vv>><vvv<<v><><^^>^v<v>><v><^><^<<>v^vv^v><^vv>^>>v<vv><^<^^v<^^vv<vv<v<v>v><v<vv<<>^^v^^v<<<^<>v^^^<><>>><^>v^^^v^vv<<<^>>v><^>v^<>>>>^<>^^vvv^^<><^>^^<><>^vvv^^<vv^>vv^^^^v<>vv<^^^v<<>><<vvvvv>v>^^^vv>><v><v<>vvvv<v^><^<>^>^<>v>v>v^vvvv<><^v>>>^^>><vvv<>^>^v^<vvv>v^vv^vv><>><>v^^v^vv<^v>vv>>v<v><^<<^v<>>^vv^<v>v><v>v>^v>^<v>^<<^>vv>v<^<^vv^<^><<<v<<^^vv<vvv><>v>v<vv^<><><^vvv>>vv<^^^v><^v><<^>^^v>^<>><v<>>^^<<<v><>^>^><vvvv<>^<<<><<<^<>>v^vv^>><^vv^^>^<v^<v>><^^>>>^v>^v<>^v<><^><vv>v^^^<^>>^<<^<^><<<^^<v<<^vv<^<>v<^<<^^<v<vv<<><v<v^<>^<>v>>v<^v>v<>^^vvv<>vv^v^<><v^vv^<^v^v><>^><v^<>>^^^<>>vv^<v>^^v><v<^>^^^^^^><>>vvv<<><><v<^>v<>v^v<<<<>v^>>>>^v>^^<v^>v><v^<^^v<<<<v<<<>^v<^>^v>v^^>v^^vvv>vv<>^>v><v<>^<vv><>>><<^>>><<v>v^^<^<<<<v^<>>>v<<<^v^vv<>^v>v<<<<>^^>><v><>v<v><^^>><>^>^>v>>><v>^vvvv<><><^>>^v^><<>^v<><><^><<<>v^^>v>^>v^<v^vv<>><^vv^^>^^><vv<<>v>v^^>><v^>^<^<>>>vv<>^>v>v^<>v<^<<v>>>^<>v^>v>>vv^^<>>v<v<<^<>v>v^<^^^>v^^>v>v>vv<^<v>v^^><<<v<><>^^<>v>v>^^v>v>v^v>>^<v^v>><>^^>^<>>>^vv^><v^<^>v^>^v><^>^^^vv^^v<>vv<>>^><<^v>^v^>>v>^v^<<^^^vv<<vvv>^vv^v<<<v^^<<><vv<>>^^vv>^^^vv>><><v>v<^v^>>>vv^><>><v<^v<>^><v<^^^^>><^<>v>^v<^vv>v>v<^<>v>v>^<vv>v<^>vvv<v^<vv<vv<>v>^><v^v<>>>>>v>><^v<>v>^v><v^v^vv<>^<vvv^>><v^<vvv^^<^vvv^v^<>><v>v^^v<><>v^^^v<<<^><v<<<>><<vv<<><vvv^v>>v^v<v^>>><<v<>^v><>vv<<v>v^vv>v^v<^<vv<><><^v>^<vv>v^^>>^^^><vv<><^>>>^<v^<<^^>^>vv^><v<vvv>^^>>>^><<vv>vv>^<>>^^><^v><<>^<<<v^>^")

K（oK），37 29 27字节

解：

+/2!.#:'=+\-99 0 99 -1 1@5!

在线尝试！

说明：

创建步骤列表，创建路径，分组，计算每个重复次数，如果mod 2为0，则为off，否则为on。感觉非常AdventOfCode-ish。

+/2!.#:'=+\-99 0 99 -1 1@5! / the solution
                        5!  / input mod 5, "^v<>" yields 4 3 0 2
           -99 0 99 -1 1    / left, null, right, down, up
         +\                 / sum along
        =                   / group into key=>value
     #:'                    / count each value
    .                       / take the value 
  2!                        / modulo 2
+/                          / sum up

笔记：

• 通过窃取DavidHorák将xy压缩为x的方法来获得-8个字节（我知道它有局限性，但适用于示例）
• -2个字节，感谢ngn

krrp，137字节

^>:\L\T[length],^v>xy:!tTxy!V?[elem]tv[without]vLtELtv?#?E>V!c#!f>?=c$62.@V#!r>+x1y?=c$60.@V#!r>-x1y?=c$94.@V#!r>x-y1@V#!r>x+y1.LT00E>00.

在线尝试！

说明

^>:\L\T                ~ lambda expression, import list and tuple module
 [length],^v>xy:       ~  the answer is the number of lattice points
                       ~  which were visited an odd number of times
  !tTxy                ~   current lattice point 
  !V ?[elem]tv         ~   if the lattice point is already present,
      [without]vLtE    ~    remove it, else
      Ltv              ~    add it
  ?#?E> V              ~   no further moves
  !c#!f>               ~   move character
  ?=c$62. @V#!r>+x1y   ~   move right
   ?=c$60. @V#!r>-x1y  ~    move left
    ?=c$94. @V#!r>x-y1 ~     move up
     @V#!r>x+y1        ~      move down	
 .LT00E>00.            ~ initialize at point (0, 0)

在线尝试！

不幸的是，krrp的实现速度相当慢，这使得较长的测试用例难以验证。
krrp字符串转换。

APL（Dyalog Unicode），21个 20字节^SBCS

+/≠/×⊢⌸+\0j1*'^<v'⍳⎕

在线尝试！

用途 ⎕io←1

⎕ 输入

'^<v'⍳发现每一个输入字符的索引中'^<v'的，即^变为1，<2，v3，和其他任何4

0j1* 我的力量（虚数常数）

+\ 偏和

⊢⌸矩阵，其中每一行是唯一部分和的出现（索引）列表；用0填充以使其变为矩形

× 符号-所有索引变为1，填充保持为0

≠/ 每行总和为2

+/ 和

Ruby，67个字节

受orlp的C解决方案启发。组装所有访问过的位置的列表，然后为每个唯一的位置（使用setwise相交，(d&d)因为它节省了一个字节d.uniq），对出现次数为奇数的位置计数（从技术上讲，将其映射到出现率％2，并将它们加在一起，因为这样做的目的相同）

->s,q=0{d=s.bytes.map{|c|q+=1i**(c%11)}
(d&d).sum{|c|d.count(c)%2}}

在线尝试！