There is a 1-indexed 8 x 8 chessboard containing 3 pieces.
You are given 6 integers a, b, c, d, e, and f where:
(a, b) denotes the position of the white rook.(c, d) denotes the position of the white bishop.(e, f) denotes the position of the black queen.Given that you can only move the white pieces, return the minimum number of moves required to capture the black queen.
\n\nNote that:
\n\n\n
Example 1:
\n![\"\"](\"https://assets.leetcode.com/uploads/2023/12/21/ex1.png\")
\n\nInput: a = 1, b = 1, c = 8, d = 8, e = 2, f = 3\nOutput: 2\nExplanation: We can capture the black queen in two moves by moving the white rook to (1, 3) then to (2, 3).\nIt is impossible to capture the black queen in less than two moves since it is not being attacked by any of the pieces at the beginning.\n\n\n
Example 2:
\n![\"\"](\"https://assets.leetcode.com/uploads/2023/12/21/ex2.png\")
\n\nInput: a = 5, b = 3, c = 3, d = 4, e = 5, f = 2\nOutput: 1\nExplanation: We can capture the black queen in a single move by doing one of the following: \n- Move the white rook to (5, 2).\n- Move the white bishop to (5, 2).\n\n\n
\n
Constraints:
\n\n1 <= a, b, c, d, e, f <= 8现有一个下标从 0 开始的 8 x 8 棋盘，上面有 3 枚棋子。
给你 6 个整数 a 、b 、c 、d 、e 和 f ，其中：
(a, b) 表示白色车的位置。(c, d) 表示白色象的位置。(e, f) 表示黑皇后的位置。假定你只能移动白色棋子，返回捕获黑皇后所需的最少移动次数。
\n\n请注意：
\n\n\n\n
示例 1：
\n\n\n输入：a = 1, b = 1, c = 8, d = 8, e = 2, f = 3\n输出：2\n解释：将白色车先移动到 (1, 3) ，然后移动到 (2, 3) 来捕获黑皇后，共需移动 2 次。\n由于起始时没有任何棋子正在攻击黑皇后，要想捕获黑皇后，移动次数不可能少于 2 次。\n\n\n
示例 2：
\n\n\n输入：a = 5, b = 3, c = 3, d = 4, e = 5, f = 2\n输出：1\n解释：可以通过以下任一方式移动 1 次捕获黑皇后：\n- 将白色车移动到 (5, 2) 。\n- 将白色象移动到 (5, 2) 。\n\n\n
\n\n
提示：
\n\n1 <= a, b, c, d, e, f <= 81 or 2.",
"The answer will be 1 if the queen is on the path of the rook or bishop and none of them is in between."
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